7.01655644585 'coq/Coq_ZArith_Znumtheory_prime_3'#@#variant 'h4/thm/float/egt1_'#@#variant
6.09617022101 'coq/Coq_Lists_List_rev_append_rev' 'h4/thm/list/REV_REVERSE_LEM_'
6.09617022101 'coq/Coq_Lists_List_rev_alt' 'h4/thm/list/REVERSE_REV_'
6.09617022101 'coq/__constr_Coq_Relations_Relation_Operators_Ltl_0_1' 'h4/thm/list/LLEX_THM_1'
6.09617022101 'coq/Coq_Sorting_Permutation_Permutation_cons_app' 'h4/thm/sorting/CONS_PERM_'
5.56048942543 'coq/Coq_Numbers_Cyclic_ZModulo_ZModulo_spec_more_than_1_digit' 'h4/thm/real/REAL_NZ_IMP_LT_'
5.09007087279 'coq/Coq_Lists_List_concat_app' 'h4/thm/list/FLAT_APPEND_'
5.09007087279 'coq/Coq_Lists_List_NoDup_map_inv' 'h4/thm/list/ALL_DISTINCT_MAP_'
5.09007087279 'coq/Coq_Lists_List_rev_app_distr' 'h4/thm/list/REVERSE_APPEND_'
5.09007087279 'coq/Coq_Sorting_Permutation_Permutation_rev' 'h4/thm/sorting/PERM_REVERSE_'
5.09007087279 'coq/Coq_Sorting_Permutation_Permutation_map' 'h4/thm/sorting/PERM_MAP_'
5.09007087279 'coq/__constr_Coq_Sorting_Permutation_Permutation_0_2' 'h4/thm/sorting/PERM_MONO_'
5.09007087279 'coq/Coq_Lists_List_map_rev' 'h4/thm/rich_list/MAP_REVERSE_'
4.83110059916 'coq/Coq_Lists_List_concat_cons' 'h4/thm/list/FLAT_e1'
4.83110059916 'coq/Coq_ZArith_Zquot_Zquot_mult_cancel_r' 'h4/thm/real/REAL_DIV_RMUL_CANCEL_'#@#variant
4.83110059916 'coq/Coq_ZArith_Zquot_Zquot_mult_cancel_l' 'h4/thm/real/REAL_DIV_LMUL_CANCEL_'#@#variant
4.83110059916 'coq/Coq_PArith_BinPos_Dcompare' 'h4/thm/toto/cpn_nchotomy_'
4.30218188765 'coq/Coq_ZArith_BinInt_Pos2Z_inj_pow_pos' 'h4/thm/float/REAL_OF_NUM_POW_'
4.30218188765 'coq/Coq_ZArith_Zquot_Zquot_le_lower_bound'#@#variant 'h4/thm/real/REAL_LE_RDIV_'#@#variant
4.30218188765 'coq/Coq_ZArith_BinInt_Pos2Z_inj_pow_pos' 'h4/thm/real/REAL_OF_NUM_POW_'
4.30218188765 'coq/Coq_Lists_List_hd_error_nil' 'h4/thm/enumeral/list_to_bl_0'
4.1612835555 'coq/__constr_Coq_Sorting_Sorted_LocallySorted_0_2' 'h4/thm/sorting/SORTED_SING_'
4.03378572969 'coq/Coq_Lists_List_Exists_nil' 'h4/thm/list/EXISTS_DEF_0'
4.03378572969 'coq/Coq_Lists_List_concat_map' 'h4/thm/rich_list/MAP_FLAT_'
4.03378572969 'coq/Coq_Lists_List_map_app' 'h4/thm/list/MAP_APPEND_'
4.03378572969 'coq/Coq_Lists_List_concat_map' 'h4/thm/list/MAP_FLAT_'
4.03378572969 'coq/Coq_Lists_List_app_comm_cons' 'h4/thm/list/APPEND_e1'
3.96137259436 'coq/Coq_ZArith_Zquot_Zquot_le_upper_bound'#@#variant 'h4/thm/real/REAL_LE_LDIV_'#@#variant
3.93959285483 'coq/Coq_Lists_List_map_id' 'h4/thm/list/MAP_ID_0'
3.75932697196 'coq/Coq_ZArith_BinInt_Z_sqrt_lt_lin' 'h4/thm/transc/LN_LT_X_'
3.73784965763 'coq/Coq_ZArith_BinInt_Z_abs_pos'#@#variant 'h4/thm/real/ABS_NZ_'#@#variant
3.47451390814 'coq/Coq_Lists_List_Exists_cons' 'h4/thm/list/EXISTS_DEF_e1'
3.47451390814 'coq/Coq_Sorting_Permutation_Permutation_app' 'h4/thm/sorting/PERM_CONG_'
3.47451390814 'coq/Coq_Sorting_Permutation_Permutation_app_comm' 'h4/thm/sorting/PERM_APPEND_'
3.47451390814 'coq/Coq_Lists_List_map_cons' 'h4/thm/list/MAP_e1'
3.44174551012 'coq/Coq_ZArith_Zpow_facts_Zpower_pos_1_l'#@#variant 'h4/thm/real/POW_ONE_'#@#variant
3.12096266663 'coq/Coq_Lists_List_concat_nil' 'h4/thm/list/FLAT_0'
2.90861238483 'coq/Coq_ZArith_BinInt_Z_add_move_0_r' 'h4/thm/real/REAL_LNEG_UNIQ_'#@#variant
2.90861238483 'coq/Coq_ZArith_BinInt_Z_sgn_nonpos' 'h4/thm/real/REAL_POS_LE_ZERO_'#@#variant
2.79300251124 'coq/Coq_ZArith_Zsqrt_compat_Zsqrt_le'#@#variant 'h4/thm/transc/SQRT_MONO_LE_'#@#variant
2.69520286373 'coq/Coq_ZArith_Zorder_Zmult_lt_reg_r'#@#variant 'h4/thm/float/REAL_LT_RCANCEL_IMP_'#@#variant
2.69520286373 'coq/Coq_ZArith_Zorder_Zmult_lt_0_le_reg_r'#@#variant 'h4/thm/float/REAL_LE_RCANCEL_IMP_'#@#variant
2.68919048646 'coq/Coq_Reals_RIneq_Rplus_minus' 'h4/thm/complex/COMPLEX_SUB_ADD2_'#@#variant
2.68919048646 'coq/Coq_ZArith_BinInt_Zplus_minus' 'h4/thm/real/REAL_SUB_ADD2_'
2.68919048646 'coq/__constr_Coq_Sorting_Sorted_LocallySorted_0_1' 'h4/thm/sorting/SORTED_NIL_'
2.61109541954 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lor_land_distr_r' 'h4/thm/hrat/TRAT_LDISTRIB_'#@#variant
2.61109541954 'coq/Coq_NArith_BinNat_N_mul_divide_cancel_l' 'h4/thm/integer/INT_DIVIDES_MUL_BOTH_'#@#variant
2.54503543639 'coq/Coq_Lists_List_nil_cons' 'h4/thm/list/list_distinct_'
2.54503543639 'coq/Coq_Lists_List_nil_cons' 'h4/thm/list/NOT_CONS_NIL_'
2.54503543639 'coq/Coq_Lists_List_nil_cons' 'h4/thm/list/NOT_NIL_CONS_'
2.53777265217 'coq/Coq_ZArith_BinInt_Z_add_move_0_l' 'h4/thm/real/REAL_RNEG_UNIQ_'#@#variant
2.42858100144 'coq/Coq_Lists_List_app_nil_end' 'h4/thm/rich_list/APPEND_NIL_0'
2.42858100144 'coq/Coq_Lists_List_app_nil_r' 'h4/thm/list/APPEND_NIL_'
2.42858100144 'coq/Coq_Lists_List_app_nil_r' 'h4/thm/rich_list/APPEND_NIL_0'
2.42858100144 'coq/Coq_Numbers_BigNumPrelude_Zlt0_not_eq'#@#variant 'h4/thm/real/REAL_POS_NZ_'#@#variant
2.42858100144 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sub_le_mono_l' 'h4/thm/extreal/le_lsub_imp_'
2.42858100144 'coq/Coq_Lists_List_app_nil_end' 'h4/thm/list/APPEND_NIL_'
2.41555029958 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_eq_sym_iff' 'h4/thm/hrat/TRAT_EQ_SYM_'#@#variant
2.41555029958 'coq/Coq_Lists_List_rev_involutive' 'h4/thm/list/REVERSE_REVERSE_'
2.27456828483 'coq/Coq_PArith_POrderedType_Positive_as_DT_sub_lt' 'h4/thm/arithmetic/LESS_DIV_EQ_ZERO_'
2.27456828483 'coq/Coq_ZArith_BinInt_Z_quot_abs' 'h4/thm/real/ABS_DIV_'#@#variant
2.25039214713 'coq/Coq_ZArith_BinInt_Z_mul_reg_l' 'h4/thm/real/REAL_EQ_LMUL_IMP_'#@#variant
2.25039214713 'coq/Coq_Reals_RIneq_Ropp_minus_distr_prime' 'h4/thm/complex/COMPLEX_NEG_SUB_'#@#variant
2.25039214713 'coq/Coq_Reals_RIneq_Ropp_minus_distr' 'h4/thm/complex/COMPLEX_NEG_SUB_'#@#variant
2.23562284846 'coq/Coq_ZArith_BinInt_Z_abs_sub_triangle' 'h4/thm/real/REAL_SUB_ABS_'
2.22419577017 'coq/Coq_Lists_List_Forall_impl' 'h4/thm/list/MONO_EVERY_'
2.22419577017 'coq/Coq_Lists_List_Forall_impl' 'h4/thm/list/EVERY_MONOTONIC_'
2.13597189387 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_succ_l' 'h4/thm/arithmetic/LESS_EQ_'
2.11894389269 'coq/Coq_ZArith_BinInt_Z_abs_eq_iff'#@#variant 'h4/thm/real/ABS_REFL_'#@#variant
2.11894389269 'coq/Coq_ZArith_BinInt_Z_mul_pos_cancel_l'#@#variant 'h4/thm/real/REAL_LT_LMUL_0_'#@#variant
2.10736755138 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_succ_r' 'h4/thm/float/LT_SUC_LE_'
2.03205674034 'coq/Coq_NArith_BinNat_N_mul_divide_cancel_r' 'h4/thm/int_arith/INT_DIVIDES_LRMUL_'#@#variant
2.01689286485 'coq/Coq_Arith_PeanoNat_Nat_neq_0_lt_0' 'h4/thm/extreal/lt_infty_e6'
2.01689286485 'coq/Coq_Structures_OrdersEx_Nat_as_DT_neq_0_lt_0' 'h4/thm/extreal/lt_infty_e6'
2.01689286485 'coq/Coq_Structures_OrdersEx_Nat_as_OT_neq_0_lt_0' 'h4/thm/extreal/lt_infty_e6'
1.97373573112 'coq/Coq_NArith_BinNat_N_mod_mod' 'h4/thm/integer/INT_MOD_MOD_'#@#variant
1.97373573112 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_not_add_l' 'h4/thm/integer/LT_ADDR_'
1.97045751644 'coq/Coq_ZArith_BinInt_Z_opp_pos_neg'#@#variant 'h4/thm/real/REAL_NEG_GT0_'#@#variant
1.97045751644 'coq/Coq_ZArith_BinInt_Z_opp_nonneg_nonpos'#@#variant 'h4/thm/real/REAL_NEG_GE0_'#@#variant
1.94330833894 'coq/Coq_NArith_BinNat_N_add_1_l' 'h4/thm/integer/INT_SUB_REDUCE_1'
1.94330833894 'coq/Coq_NArith_BinNat_N_add_1_l' 'h4/thm/integer/INT_SUB_LZERO_'
1.94330833894 'coq/Coq_NArith_BinNat_N_add_1_l' 'h4/thm/HolSmt/r128_'
1.93470421089 'coq/Coq_Lists_List_app_nil_l' 'h4/thm/rich_list/APPEND_NIL_e1'
1.93470421089 'coq/Coq_Lists_List_app_nil_l' 'h4/thm/list/APPEND_0'
1.93244023966 'coq/Coq_ZArith_BinInt_Z_add_le_lt_mono' 'h4/thm/real/REAL_LET_ADD2_'
1.93244023966 'coq/Coq_NArith_BinNat_N_mod_mul' 'h4/thm/integer/INT_MOD_COMMON_FACTOR_'#@#variant
1.8992180385 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_add_le_sub_r' 'h4/thm/extreal/le_sub_imp_'
1.8992180385 'coq/Coq_ZArith_BinInt_Z_add_lt_le_mono' 'h4/thm/real/REAL_LTE_ADD2_'
1.84114608549 'coq/Coq_NArith_BinNat_N_div_mul' 'h4/thm/integer/INT_DIV_RMUL_'#@#variant
1.8091030762 'coq/Coq_ZArith_BinInt_Z_add_simpl_l' 'h4/thm/real/REAL_ADD_SUB_'
1.80495168899 'coq/Coq_Lists_List_app_assoc_reverse' 'h4/thm/list/APPEND_ASSOC_'
1.80495168899 'coq/Coq_Lists_List_app_assoc' 'h4/thm/list/APPEND_ASSOC_'
1.79097550075 'coq/Coq_ZArith_BinInt_Z_opp_nonpos_nonneg'#@#variant 'h4/thm/real/REAL_NEG_LE0_'#@#variant
1.79097550075 'coq/Coq_ZArith_BinInt_Z_opp_neg_pos'#@#variant 'h4/thm/real/REAL_NEG_LT0_'#@#variant
1.75957196119 'coq/Coq_ZArith_BinInt_Z_min_r' 'h4/thm/real/REAL_MIN_ALT_e1'
1.75957196119 'coq/Coq_ZArith_BinInt_Z_max_l' 'h4/thm/real/REAL_MAX_ALT_e1'
1.73949890016 'coq/Coq_ZArith_BinInt_Z_abs_le' 'h4/thm/real/ABS_BOUNDS_'
1.71634398974 'coq/Coq_ZArith_BinInt_Z_mul_pos_cancel_r'#@#variant 'h4/thm/real/REAL_LT_RMUL_0_'#@#variant
1.71198571924 'coq/Coq_NArith_BinNat_N_div_same'#@#variant 'h4/thm/integer/INT_DIV_ID_'#@#variant
1.71198571924 'coq/Coq_ZArith_BinInt_Z_quot_same'#@#variant 'h4/thm/real/REAL_DIV_REFL_'#@#variant
1.71198571924 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div_same'#@#variant 'h4/thm/integer/INT_QUOT_ID_'#@#variant
1.69669029093 'coq/Coq_NArith_BinNat_N_divide_mul_r' 'h4/thm/integer/INT_DIVIDES_RMUL_'
1.68124968637 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_1_l' 'h4/thm/integer/INT_ADD_CALCULATE_0'
1.68124968637 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_1_l' 'h4/thm/integer/INT_ADD_LID_'
1.68124968637 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_1_l' 'h4/thm/integer/INT_ADD_REDUCE_0'
1.68124968637 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_1_l' 'h4/thm/HolSmt/r079_'
1.67895570412 'coq/Coq_NArith_BinNat_N_add_mod' 'h4/thm/integer/INT_MOD_SUB_'#@#variant
1.67817263135 'coq/Coq_ZArith_BinInt_Z_square_nonneg'#@#variant 'h4/thm/real/REAL_LE_SQUARE_'#@#variant
1.67817263135 'coq/Coq_NArith_BinNat_N_square_nonneg'#@#variant 'h4/thm/integer/INT_LE_SQUARE_'#@#variant
1.67817263135 'coq/Coq_NArith_BinNat_Nmult_reg_r' 'h4/thm/integer/INT_EQ_RMUL_IMP_'#@#variant
1.67817263135 'coq/Coq_ZArith_BinInt_Z_mul_reg_r' 'h4/thm/real/REAL_EQ_RMUL_IMP_'#@#variant
1.66378692675 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_succ_r' 'h4/thm/arithmetic/MULT_SUC_'
1.66378692675 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_succ_r' 'h4/thm/arithmetic/MULT_CLAUSES_e5'
1.65650323851 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lor_0_l' 'h4/thm/hrat/TRAT_MUL_LID_'#@#variant
1.64940808213 'coq/Coq_ZArith_BinInt_Z_lt_0_sub'#@#variant 'h4/thm/real/REAL_SUB_LT_'#@#variant
1.64940808213 'coq/Coq_ZArith_BinInt_Z_le_0_sub'#@#variant 'h4/thm/real/REAL_SUB_LE_'#@#variant
1.64413110547 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_0_r' 'h4/thm/extreal/le_infty_1'
1.64413110547 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_0_r' 'h4/thm/extreal/le_infty_1'
1.64413110547 'coq/Coq_Arith_PeanoNat_Nat_le_0_r' 'h4/thm/extreal/le_infty_1'
1.62843193001 'coq/Coq_ZArith_BinInt_Z_max_r' 'h4/thm/real/REAL_MAX_ALT_0'
1.62275489329 'coq/Coq_ZArith_Zpow_facts_Zpower_pos_pos'#@#variant 'h4/thm/real/REAL_POW_LT_'#@#variant
1.61351429188 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mod_same' 'h4/thm/integer/INT_REM_ID_'#@#variant
1.61351429188 'coq/Coq_NArith_BinNat_N_mod_same' 'h4/thm/integer/INT_MOD_ID_'#@#variant
1.59931426223 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_lt_succ' 'h4/thm/prim_rec/LESS_SUC_'
1.57284584078 'coq/Coq_ZArith_BinInt_Z_mul_cancel_l' 'h4/thm/real/REAL_EQ_LMUL2_'#@#variant
1.57284584078 'coq/Coq_NArith_BinNat_N_mul_cancel_l' 'h4/thm/integer/INT_EQ_LMUL2_'#@#variant
1.56601598821 'coq/Coq_ZArith_BinInt_Z_abs_triangle' 'h4/thm/real/ABS_TRIANGLE_'
1.56601598821 'coq/Coq_ZArith_BinInt_Z_abs_triangle' 'h4/thm/real/REAL_ABS_TRIANGLE_'
1.56048133331 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lor_assoc' 'h4/thm/hrat/TRAT_MUL_ASSOC_'#@#variant
1.56048133331 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_land_assoc' 'h4/thm/hrat/TRAT_ADD_ASSOC_'#@#variant
1.56048133331 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lor_eq_0_l' 'h4/thm/transc/RPOW_NZ_'#@#variant
1.5418111237 'coq/Coq_ZArith_BinInt_Z_add_nonneg_pos'#@#variant 'h4/thm/real/REAL_LET_ADD_'#@#variant
1.5418111237 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_nonneg_pos'#@#variant 'h4/thm/extreal/let_add_'#@#variant
1.53728713644 'coq/Coq_NArith_BinNat_N_divide_0_r' 'h4/thm/integer/INT_DIVIDES_0_0'#@#variant
1.53728713644 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_land_comm' 'h4/thm/hrat/TRAT_ADD_SYM_'#@#variant
1.53728713644 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lor_comm' 'h4/thm/hrat/TRAT_MUL_SYM_'#@#variant
1.50583166574 'coq/Coq_PArith_POrderedType_Positive_as_OT_nlt_1_r' 'h4/thm/bit/BIT_ZERO_'
1.50583166574 'coq/Coq_Structures_OrdersEx_Nat_as_DT_nlt_0_r' 'h4/thm/extreal/lt_infty_3'
1.50583166574 'coq/Coq_Structures_OrdersEx_Nat_as_OT_nlt_0_r' 'h4/thm/extreal/lt_infty_3'
1.50583166574 'coq/Coq_PArith_POrderedType_Positive_as_DT_nlt_1_r' 'h4/thm/prim_rec/NOT_LESS_0_'
1.50583166574 'coq/Coq_Arith_PeanoNat_Nat_nlt_0_r' 'h4/thm/extreal/lt_infty_3'
1.50354857248 'coq/Coq_ZArith_BinInt_Z_add_opp_diag_r' 'h4/thm/real/REAL_ADD_RINV_'#@#variant
1.47759084577 'coq/Coq_ZArith_BinInt_Z_add_opp_diag_l' 'h4/thm/real/REAL_ADD_LINV_'#@#variant
1.47759084577 'coq/Coq_ZArith_BinInt_Z_add_opp_diag_l' 'h4/thm/realax/REAL_ADD_LINV_'
1.46649296279 'coq/Coq_ZArith_Znat_Z2Nat_inj_pos' 'h4/thm/extreal/extreal_of_num_def_'
1.46057408672 'coq/Coq_NArith_BinNat_N_le_neq' 'h4/thm/integer/INT_LT_LE_'
1.46057408672 'coq/Coq_Arith_PeanoNat_Nat_le_neq' 'h4/thm/extreal/lt_le_'
1.46057408672 'coq/Coq_ZArith_BinInt_Z_le_neq' 'h4/thm/real/REAL_LT_LE_'
1.46057408672 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_neq' 'h4/thm/extreal/lt_le_'
1.46057408672 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_neq' 'h4/thm/extreal/lt_le_'
1.42208751287 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_1' 'h4/thm/transc/TAN_0_'
1.42208751287 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_1' 'h4/thm/intExtension/INT_ABS_CALCULATE_0_'
1.42208751287 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_1' 'h4/thm/transc/SIN_0_'
1.42208751287 'coq/Coq_ZArith_BinInt_Z_sqrt_up_1' 'h4/thm/real/REAL_INV_0_'
1.40020241973 'coq/Coq_Lists_List_lel_trans' 'h4/thm/rich_list/IS_PREFIX_TRANS_'
1.40020241973 'coq/Coq_ZArith_BinInt_Z_abs_involutive' 'h4/thm/real/ABS_ABS_'
1.40020241973 'coq/Coq_Sorting_Permutation_Permutation_trans' 'h4/thm/sorting/PERM_TRANS_'
1.40020241973 'coq/__constr_Coq_Sorting_Permutation_Permutation_0_4' 'h4/thm/sorting/PERM_TRANS_'
1.39410869691 'coq/Coq_ZArith_Zorder_Zmult_lt_compat'#@#variant 'h4/thm/real/REAL_LT_MUL2_'#@#variant
1.39410869691 'coq/Coq_ZArith_Zorder_Zmult_le_compat'#@#variant 'h4/thm/real/REAL_LE_MUL2_'#@#variant
1.39410869691 'coq/Coq_ZArith_BinInt_Z_mul_lt_mono_nonneg'#@#variant 'h4/thm/real/REAL_LT_MUL2_'#@#variant
1.39410869691 'coq/Coq_NArith_BinNat_N_mul_lt_mono_nonneg'#@#variant 'h4/thm/integer/INT_LT_MUL2_'#@#variant
1.39410869691 'coq/Coq_ZArith_BinInt_Z_mul_le_mono_nonneg'#@#variant 'h4/thm/real/REAL_LE_MUL2_'#@#variant
1.39410869691 'coq/Coq_Reals_Exp_prop_exp_plus' 'h4/thm/complex/COMPLEX_EXP_ADD_'#@#variant
1.37141951189 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_lub' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_e2'
1.36740436441 'coq/Coq_PArith_BinPos_Pos_pred_double_succ' 'h4/thm/numeral/numeral_pre_e4'
1.35493877575 'coq/Coq_ZArith_Zorder_Zle_not_lt' 'h4/thm/real/REAL_LTE_ANTSYM_'
1.35493877575 'coq/Coq_ZArith_BinInt_Z_min_l' 'h4/thm/real/REAL_MIN_ALT_0'
1.35493877575 'coq/Coq_ZArith_Zorder_Zlt_not_le' 'h4/thm/real/REAL_LET_ANTISYM_'
1.34203346146 'coq/Coq_ZArith_Zorder_Zmult_lt_compat_r'#@#variant 'h4/thm/real/REAL_LT_RMUL_IMP_'#@#variant
1.34203346146 'coq/Coq_ZArith_Zorder_Zmult_le_compat_r'#@#variant 'h4/thm/integral/REAL_LE_RMUL1_'#@#variant
1.34203346146 'coq/Coq_ZArith_Zorder_Zmult_le_compat_r'#@#variant 'h4/thm/real/REAL_LE_RMUL_IMP_'#@#variant
1.34203346146 'coq/Coq_ZArith_BinInt_Z_mul_le_mono_nonneg_r'#@#variant 'h4/thm/real/REAL_LE_RMUL_IMP_'#@#variant
1.34203346146 'coq/Coq_ZArith_BinInt_Z_mul_le_mono_nonneg_r'#@#variant 'h4/thm/integral/REAL_LE_RMUL1_'#@#variant
1.33960125151 'coq/Coq_ZArith_BinInt_Z_sub_move_r' 'h4/thm/real/REAL_EQ_SUB_LADD_'
1.33960125151 'coq/Coq_ZArith_BinInt_Z_abs_opp' 'h4/thm/real/ABS_NEG_'
1.33960125151 'coq/Coq_ZArith_BinInt_Z_sub_move_r' 'h4/thm/real/REAL_EQ_SUB_RADD_'
1.33471962616 'coq/Coq_ZArith_BinInt_Z_opp_le_mono' 'h4/thm/real/REAL_LE_NEG2_'
1.33471962616 'coq/Coq_ZArith_BinInt_Z_opp_lt_mono' 'h4/thm/real/REAL_LT_NEG_'
1.33471962616 'coq/Coq_ZArith_BinInt_Z_opp_le_mono' 'h4/thm/real/REAL_LE_NEG_'
1.31640308651 'coq/Coq_Reals_Rpower_exp_Ropp' 'h4/thm/complex/COMPLEX_EXP_NEG_'#@#variant
1.29247535209 'coq/Coq_PArith_BinPos_Pos_compare_succ_succ' 'h4/thm/toto/qk_numeralOrd_6'
1.29247535209 'coq/Coq_QArith_Qreduction_Qred_compare' 'h4/thm/toto/num_dtOrd_7'
1.29247535209 'coq/Coq_PArith_POrderedType_Positive_as_DT_compare_xI_xI' 'h4/thm/toto/numeralOrd_5'
1.29247535209 'coq/Coq_PArith_BinPos_Pos_compare_xI_xI' 'h4/thm/toto/qk_numeralOrd_5'
1.28735379879 'coq/Coq_Structures_OrdersEx_Nat_as_DT_double_twice'#@#variant 'h4/thm/extreal/inv_1over_'#@#variant
1.27979886701 'coq/Coq_ZArith_Zsqrt_compat_Zsqrt_plain_is_pos'#@#variant 'h4/thm/transc/SQRT_POS_LE_'#@#variant
1.27135684303 'coq/Coq_ZArith_BinInt_Z_mul_le_mono_nonneg_l'#@#variant 'h4/thm/real/REAL_LE_LMUL_IMP_'#@#variant
1.27135684303 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_mult_lt_compat_l'#@#variant 'h4/thm/real/REAL_LT_LMUL_IMP_'#@#variant
1.27135684303 'coq/Coq_ZArith_BinInt_Z_mul_le_mono_nonneg_l'#@#variant 'h4/thm/integral/REAL_LE_LMUL1_'#@#variant
1.27135684303 'coq/Coq_ZArith_Zorder_Zmult_le_compat_l'#@#variant 'h4/thm/integral/REAL_LE_LMUL1_'#@#variant
1.27135684303 'coq/Coq_ZArith_Zorder_Zmult_lt_compat_l'#@#variant 'h4/thm/real/REAL_LT_LMUL_IMP_'#@#variant
1.27135684303 'coq/Coq_ZArith_Zorder_Zmult_le_compat_l'#@#variant 'h4/thm/real/REAL_LE_LMUL_IMP_'#@#variant
1.26549357792 'coq/Coq_NArith_BinNat_N_divide_mul_l' 'h4/thm/integer/INT_DIVIDES_LMUL_'
1.25251408919 'coq/Coq_ZArith_BinInt_Z_mul_le_mono_pos_r'#@#variant 'h4/thm/real/REAL_LE_RMUL_'#@#variant
1.25251408919 'coq/Coq_NArith_BinNat_N_mul_lt_mono_pos_r'#@#variant 'h4/thm/intExtension/INT_LT_RMUL_EXP_'#@#variant
1.25251408919 'coq/Coq_ZArith_BinInt_Z_mul_lt_mono_pos_r'#@#variant 'h4/thm/real/REAL_LT_RMUL_'#@#variant
1.24895996052 'coq/Coq_Arith_PeanoNat_Nat_le_min_r' 'h4/thm/extreal/min_le2_'
1.24895996052 'coq/Coq_Arith_Min_le_min_r' 'h4/thm/extreal/min_le2_'
1.24895996052 'coq/Coq_ZArith_BinInt_Z_le_min_r' 'h4/thm/real/REAL_MIN_LE2_'
1.23668197125 'coq/Coq_ZArith_BinInt_Z_sub_move_0_r' 'h4/thm/real/REAL_SUB_0_'#@#variant
1.23668197125 'coq/Coq_NArith_BinNat_N_mul_eq_0_r' 'h4/thm/intExtension/INT_NOT0_MUL_'#@#variant
1.23668197125 'coq/Coq_NArith_BinNat_N_eq_mul_0_r' 'h4/thm/intExtension/INT_NOT0_MUL_'#@#variant
1.23566431676 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_1_r' 'h4/thm/integer/INT_ADD_REDUCE_1'
1.23566431676 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_1_r' 'h4/thm/integer/INT_ADD_RID_'
1.23566431676 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_1_r' 'h4/thm/integer/INT_ADD_CALCULATE_1'
1.23566431676 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_1_r' 'h4/thm/HolSmt/r080_'
1.2201500277 'coq/Coq_ZArith_BinInt_Z_add_pos_nonneg'#@#variant 'h4/thm/real/REAL_LTE_ADD_'#@#variant
1.2201500277 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_pos_nonneg'#@#variant 'h4/thm/extreal/lte_add_'#@#variant
1.21734498221 'coq/Coq_PArith_POrderedType_Positive_as_DT_succ_discr' 'h4/thm/prim_rec/SUC_ID_'
1.20608252522 'coq/Coq_ZArith_Zdiv_Zmod_1_r'#@#variant 'h4/thm/util_prob/logr_1_'#@#variant
1.20608252522 'coq/Coq_NArith_BinNat_N_mod_1_r'#@#variant 'h4/thm/integer/INT_MOD_1_'#@#variant
1.20608252522 'coq/Coq_ZArith_BinInt_Z_mod_1_r'#@#variant 'h4/thm/util_prob/logr_1_'#@#variant
1.19948633405 'coq/Coq_ZArith_Zlogarithm_log_inf_correct1'#@#variant 'h4/thm/binary_ieee/zero_le_twopow_'#@#variant
1.19948633405 'coq/Coq_ZArith_BinInt_Pos2Z_is_nonneg'#@#variant 'h4/thm/real/REAL_POS_'#@#variant
1.19948633405 'coq/Coq_ZArith_Zlogarithm_log_inf_correct/0'#@#variant 'h4/thm/binary_ieee/zero_le_twopow_'#@#variant
1.19948633405 'coq/Coq_ZArith_Zorder_Zle_0_pos'#@#variant 'h4/thm/real/REAL_POS_'#@#variant
1.19911813968 'coq/Coq_ZArith_BinInt_Z_abs_0_iff' 'h4/thm/real/ABS_ZERO_'#@#variant
1.18512572824 'coq/Coq_ZArith_BinInt_Z_lt_le_incl' 'h4/thm/real/REAL_LT_IMP_LE_'
1.18512572824 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_le_incl' 'h4/thm/extreal/lt_imp_le_'
1.18512572824 'coq/Coq_Arith_PeanoNat_Nat_lt_le_incl' 'h4/thm/extreal/lt_imp_le_'
1.18512572824 'coq/Coq_NArith_BinNat_N_lt_le_incl' 'h4/thm/integer/INT_LT_IMP_LE_'
1.18512572824 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_le_incl' 'h4/thm/extreal/lt_imp_le_'
1.18512572824 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_le_incl' 'h4/thm/arithmetic/LESS_IMP_LESS_OR_EQ_'
1.17637705108 'coq/Coq_ZArith_BinInt_Z_mul_opp_opp' 'h4/thm/real/REAL_NEG_MUL2_'
1.17637705108 'coq/Coq_Reals_RIneq_Rmult_opp_opp' 'h4/thm/complex/COMPLEX_NEG_MUL2_'#@#variant
1.17237813258 'coq/Coq_ZArith_Znat_Z2Nat_inj_pred' 'h4/thm/extreal/extreal_exp_def_0'
1.17237813258 'coq/Coq_Reals_RIneq_opp_IZR' 'h4/thm/complex/COMPLEX_OF_REAL_NEG_'#@#variant
1.17237813258 'coq/Coq_Reals_RIneq_Ropp_Ropp_IZR' 'h4/thm/complex/COMPLEX_OF_REAL_NEG_'#@#variant
1.1640278756 'coq/Coq_ZArith_BinInt_Z_add_simpl_r' 'h4/thm/real/REAL_ADD_SUB_ALT_'
1.1640278756 'coq/Coq_ZArith_BinInt_Z_sub_add' 'h4/thm/real/REAL_SUB_ADD_'
1.1640278756 'coq/Coq_ZArith_BinInt_Z_sub_simpl_r' 'h4/thm/real/REAL_SUB_ADD_'
1.15014163358 'coq/Coq_NArith_BinNat_N_mul_pos_pos' 'h4/thm/integer/INT_LT_MUL_'
1.15014163358 'coq/Coq_ZArith_BinInt_Z_mul_pos_pos' 'h4/thm/realax/REAL_LT_MUL_'
1.14524703228 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_lt_trans' 'h4/thm/extreal/let_trans_'
1.14524703228 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_lt_trans' 'h4/thm/extreal/let_trans_'
1.14524703228 'coq/Coq_Arith_PeanoNat_Nat_le_lt_trans' 'h4/thm/extreal/let_trans_'
1.14524703228 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_lt_trans' 'h4/thm/arithmetic/LESS_EQ_LESS_TRANS_'
1.14524703228 'coq/Coq_NArith_BinNat_N_le_lt_trans' 'h4/thm/integer/INT_LET_TRANS_'
1.14524703228 'coq/Coq_ZArith_BinInt_Z_le_lt_trans' 'h4/thm/real/REAL_LET_TRANS_'
1.13659270134 'coq/Coq_ZArith_BinInt_Z_lt_le_trans' 'h4/thm/real/REAL_LTE_TRANS_'
1.13659270134 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_le_trans' 'h4/thm/extreal/lte_trans_'
1.13659270134 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_le_trans' 'h4/thm/extreal/lte_trans_'
1.13659270134 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_1_l' 'h4/thm/arithmetic/ZERO_LESS_EQ_'
1.13659270134 'coq/Coq_Arith_PeanoNat_Nat_lt_le_trans' 'h4/thm/extreal/lte_trans_'
1.13659270134 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_1_l' 'h4/thm/integral/LE_0_'
1.13659270134 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_le_trans' 'h4/thm/arithmetic/LESS_LESS_EQ_TRANS_'
1.13659270134 'coq/Coq_Arith_PeanoNat_Nat_le_0_l' 'h4/thm/extreal/le_infty_tLL'
1.13659270134 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_0_l' 'h4/thm/extreal/le_infty_tLL'
1.13659270134 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_0_l' 'h4/thm/extreal/le_infty_tLL'
1.13659270134 'coq/Coq_NArith_BinNat_N_divide_1_l'#@#variant 'h4/thm/integer/INT_DIVIDES_1_0'#@#variant
1.13659270134 'coq/Coq_NArith_BinNat_N_lt_le_trans' 'h4/thm/integer/INT_LTE_TRANS_'
1.13659270134 'coq/Coq_Init_Peano_le_0_n' 'h4/thm/extreal/le_infty_tLL'
1.12413485674 'coq/Coq_ZArith_BinInt_Z_eq_opp_r' 'h4/thm/real/REAL_NEG_EQ_'
1.12413485674 'coq/Coq_ZArith_BinInt_Z_eq_opp_l' 'h4/thm/real/REAL_NEG_EQ_'
1.12413485674 'coq/Coq_Sorting_Permutation_Permutation_refl' 'h4/thm/sorting/PERM_REFL_'
1.12413485674 'coq/Coq_Lists_List_incl_refl' 'h4/thm/sorting/PERM_SINGLE_SWAP_REFL_'
1.12413485674 'coq/Coq_Lists_List_lel_refl' 'h4/thm/rich_list/IS_PREFIX_REFL_'
1.12363142182 'coq/Coq_Reals_Rtrigo1_sin_neg' 'h4/thm/complex/CONJ_NEG_'#@#variant
1.12363142182 'coq/Coq_Reals_Rtrigo_def_sin_antisym' 'h4/thm/complex/CONJ_NEG_'#@#variant
1.12208182457 'coq/Coq_ZArith_BinInt_Z_sqrt_up_pos'#@#variant 'h4/thm/real/REAL_LT_INV_EQ_'#@#variant
1.12159334129 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_1_succ' 'h4/thm/prim_rec/LESS_0_'
1.12159334129 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_1_succ' 'h4/thm/integral/LT_0_'
1.10965920341 'coq/Coq_ZArith_BinInt_Z_lt_add_lt_sub_r' 'h4/thm/real/REAL_LT_ADD_SUB_'
1.10965920341 'coq/Coq_ZArith_BinInt_Z_le_add_le_sub_r' 'h4/thm/real/REAL_LE_SUB_LADD_'
1.10965920341 'coq/Coq_ZArith_BinInt_Z_le_sub_le_add_r' 'h4/thm/real/REAL_LE_SUB_RADD_'
1.10965920341 'coq/Coq_ZArith_BinInt_Z_lt_add_lt_sub_r' 'h4/thm/real/REAL_LT_SUB_LADD_'
1.10965920341 'coq/Coq_ZArith_BinInt_Z_lt_sub_lt_add_r' 'h4/thm/real/REAL_LT_SUB_RADD_'
1.10877316137 'coq/Coq_Arith_Min_le_min_l' 'h4/thm/extreal/min_le1_'
1.10877316137 'coq/Coq_Arith_PeanoNat_Nat_le_min_l' 'h4/thm/extreal/min_le1_'
1.10877316137 'coq/Coq_ZArith_BinInt_Z_le_min_l' 'h4/thm/real/REAL_MIN_LE1_'
1.09914663872 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_lt_iff' 'h4/thm/arithmetic/MIN_LT_0'
1.09914663872 'coq/Coq_ZArith_BinInt_Z_min_le_iff' 'h4/thm/real/REAL_MIN_LE_'
1.09914663872 'coq/Coq_Arith_PeanoNat_Nat_min_le_iff' 'h4/thm/extreal/min_le_'
1.09914663872 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_le_iff' 'h4/thm/arithmetic/MIN_LE_0'
1.09390214581 'coq/Coq_NArith_BinNat_N_mod_0_l' 'h4/thm/integer/INT_MOD0_'#@#variant
1.09390214581 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div_0_l' 'h4/thm/integer/INT_QUOT_0_'#@#variant
1.09390214581 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mod_0_l' 'h4/thm/integer/INT_REM0_'#@#variant
1.09390214581 'coq/Coq_NArith_BinNat_N_div_0_l' 'h4/thm/integer/INT_DIV_0_'#@#variant
1.08635656361 'coq/Coq_ZArith_BinInt_Z_add_diag'#@#variant 'h4/thm/real/REAL_DOUBLE_'#@#variant
1.08635656361 'coq/Coq_ZArith_BinInt_Z_add_diag'#@#variant 'h4/thm/HolSmt/r216_'#@#variant
1.06201001604 'coq/Coq_NArith_BinNat_N_mul_lt_mono_pos_l'#@#variant 'h4/thm/integer/INT_LT_MONO_'#@#variant
1.06201001604 'coq/Coq_NArith_BinNat_N_mul_lt_mono_pos_l'#@#variant 'h4/thm/int_arith/lt_justify_multiplication_'#@#variant
1.06201001604 'coq/Coq_ZArith_BinInt_Z_mul_lt_mono_pos_l'#@#variant 'h4/thm/real/REAL_LT_LMUL_'#@#variant
1.06201001604 'coq/Coq_ZArith_BinInt_Z_mul_le_mono_pos_l'#@#variant 'h4/thm/real/REAL_LE_LMUL_'#@#variant
1.06201001604 'coq/Coq_NArith_BinNat_N_mul_le_mono_pos_l'#@#variant 'h4/thm/integer/INT_LE_MONO_'#@#variant
1.05345373101 'coq/Coq_NArith_BinNat_N_le_gt_cases' 'h4/thm/integer/INT_LET_TOTAL_'
1.05345373101 'coq/Coq_ZArith_BinInt_Z_lt_ge_cases' 'h4/thm/real/REAL_LTE_TOTAL_'
1.05345373101 'coq/Coq_ZArith_BinInt_Z_le_gt_cases' 'h4/thm/real/REAL_LET_TOTAL_'
1.05345373101 'coq/Coq_NArith_BinNat_N_lt_ge_cases' 'h4/thm/integer/INT_LTE_TOTAL_'
1.05111982324 'coq/Coq_ZArith_BinInt_Z_sub_0_l' 'h4/thm/real/REAL_SUB_LZERO_'#@#variant
1.05111982324 'coq/Coq_ZArith_BinInt_Z_sub_0_l' 'h4/thm/HolSmt/r221_'#@#variant
1.05111982324 'coq/Coq_PArith_BinPos_Pplus_one_succ_l' 'h4/thm/numeral/texp_help_def_0'
1.05111982324 'coq/Coq_PArith_BinPos_Pos_add_1_l' 'h4/thm/numeral/numeral_texp_help_0'
1.05111982324 'coq/Coq_PArith_BinPos_Pplus_one_succ_l' 'h4/thm/numeral/numeral_texp_help_0'
1.05111982324 'coq/Coq_PArith_BinPos_Pos_add_1_l' 'h4/thm/numeral/texp_help_def_0'
1.04862353104 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_lt_iff' 'h4/thm/arithmetic/MAX_LT_0'
1.04862353104 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_le_iff' 'h4/thm/util_prob/X_LE_MAX_'
1.04862353104 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_le_iff' 'h4/thm/arithmetic/MAX_LE_0'
1.04862353104 'coq/Coq_Arith_PeanoNat_Nat_max_le_iff' 'h4/thm/extreal/le_max_'
1.04862353104 'coq/Coq_ZArith_BinInt_Z_max_le_iff' 'h4/thm/real/REAL_LE_MAX_'
1.04395115178 'coq/Coq_NArith_BinNat_N_eq_mul_0' 'h4/thm/integer/INT_ENTIRE_'#@#variant
1.04395115178 'coq/Coq_NArith_BinNat_N_mul_eq_0' 'h4/thm/integer/INT_ENTIRE_'#@#variant
1.04395115178 'coq/Coq_ZArith_BinInt_Z_mul_eq_0' 'h4/thm/real/REAL_ENTIRE_'#@#variant
1.04395115178 'coq/Coq_NArith_BinNat_N_eq_mul_0' 'h4/thm/intExtension/INT_NO_ZERODIV_'#@#variant
1.04395115178 'coq/Coq_NArith_BinNat_N_mul_eq_0' 'h4/thm/intExtension/INT_NO_ZERODIV_'#@#variant
1.04395115178 'coq/Coq_ZArith_BinInt_Z_eq_mul_0' 'h4/thm/real/REAL_ENTIRE_'#@#variant
1.03852417204 'coq/Coq_ZArith_BinInt_Pos2Z_id' 'h4/thm/real/NUM_FLOOR_EQNS_0'
1.03079556365 'coq/Coq_ZArith_BinInt_Zminus_diag_reverse' 'h4/thm/real/REAL_SUB_REFL_'#@#variant
1.03079556365 'coq/Coq_ZArith_BinInt_Z_sub_diag' 'h4/thm/real/REAL_SUB_REFL_'#@#variant
1.03079556365 'coq/Coq_Structures_OrdersEx_Positive_as_DT_sub_diag' 'h4/thm/arithmetic/SUB_EQUAL_0_'
1.03079556365 'coq/Coq_PArith_POrderedType_Positive_as_OT_sub_diag' 'h4/thm/arithmetic/ABS_DIFF_EQS_'
1.02573224771 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_shuffle3' 'h4/thm/HolSmt/r086_'
1.02573224771 'coq/Coq_ZArith_BinInt_Z_mul_shuffle3' 'h4/thm/float/REAL_MUL_AC_e2'
1.02573224771 'coq/Coq_ZArith_BinInt_Z_add_shuffle3' 'h4/thm/HolSmt/r220_'
1.01877898603 'coq/Coq_Arith_Max_le_max_r' 'h4/thm/extreal/le_max2_'
1.01877898603 'coq/Coq_ZArith_BinInt_Z_le_max_r' 'h4/thm/real/REAL_LE_MAX2_'
1.01877898603 'coq/Coq_Arith_PeanoNat_Nat_le_max_r' 'h4/thm/extreal/le_max2_'
1.01877898603 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_max_r' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_1'
1.01877898603 'coq/Coq_NArith_BinNat_N_divide_factor_r' 'h4/thm/integer/INT_DIVIDES_MUL_e1'
1.00425079793 'coq/Coq_ZArith_BinInt_Z_min_glb_lt_iff' 'h4/thm/integral/REAL_LT_MIN_'
1.00425079793 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_glb_lt_iff' 'h4/thm/arithmetic/MIN_LT_e1'
1.00425079793 'coq/Coq_ZArith_BinInt_Z_min_glb_iff' 'h4/thm/real/REAL_LE_MIN_'
1.00425079793 'coq/Coq_Arith_PeanoNat_Nat_min_glb_iff' 'h4/thm/extreal/le_min_'
1.00425079793 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_glb_iff' 'h4/thm/arithmetic/MIN_LE_e1'
1.00152558572 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_succ_diag_r' 'h4/thm/prim_rec/LESS_SUC_SUC_0'
1.00152558572 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_succ_diag_r' 'h4/thm/prim_rec/LESS_SUC_REFL_'
1.00152558572 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_succ_diag_r' 'h4/thm/bit/BIT_B_'#@#variant
0.999388505962 'coq/Coq_PArith_POrderedType_Positive_as_DT_succ_inj' 'h4/thm/num/INV_SUC_'
0.999388505962 'coq/Coq_Structures_OrdersEx_Positive_as_OT_succ_inj' 'h4/thm/divides/PRIMES_11_'
0.994309566939 'coq/Coq_PArith_POrderedType_Positive_as_OT_succ_not_1' 'h4/thm/bit/TWOEXP_NOT_ZERO_'#@#variant
0.994309566939 'coq/Coq_PArith_BinPos_Pos_succ_not_1' 'h4/thm/intto/BIT2_nz_'
0.994309566939 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_lub_iff' 'h4/thm/arithmetic/MAX_LE_e1'
0.994309566939 'coq/Coq_Arith_PeanoNat_Nat_max_lub_iff' 'h4/thm/extreal/max_le_'
0.994309566939 'coq/Coq_ZArith_BinInt_Z_max_lub_iff' 'h4/thm/real/REAL_MAX_LE_'
0.994309566939 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_lub_iff' 'h4/thm/util_prob/MAX_LE_X_'
0.994309566939 'coq/Coq_PArith_POrderedType_Positive_as_DT_succ_not_1' 'h4/thm/arithmetic/SUC_NOT_'
0.994309566939 'coq/Coq_PArith_POrderedType_Positive_as_DT_succ_not_1' 'h4/thm/num/NOT_SUC_'
0.994309566939 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_lub_lt_iff' 'h4/thm/arithmetic/MAX_LT_e1'
0.984233199231 'coq/Coq_ZArith_BinInt_Z_add_opp_r' 'h4/thm/real/real_sub_'
0.984233199231 'coq/Coq_ZArith_BinInt_Z_sub_opp_r' 'h4/thm/real/REAL_SUB_RNEG_'
0.971654169469 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_antisym' 'h4/thm/arithmetic/LESS_EQUAL_ANTISYM_'
0.971654169469 'coq/Coq_ZArith_BinInt_Z_le_ge_cases' 'h4/thm/real/REAL_LE_TOTAL_'
0.971654169469 'coq/Coq_Arith_PeanoNat_Nat_le_ge_cases' 'h4/thm/extreal/le_total_'
0.971654169469 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_ge_cases' 'h4/thm/extreal/le_total_'
0.971654169469 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_ge_cases' 'h4/thm/extreal/le_total_'
0.971654169469 'coq/Coq_NArith_BinNat_N_le_ge_cases' 'h4/thm/integer/INT_LE_TOTAL_'
0.971654169469 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_antisym' 'h4/thm/divides/DIVIDES_ANTISYM_'
0.966323410027 'coq/Coq_NArith_BinNat_N_lt_eq_cases' 'h4/thm/integer/INT_LE_LT_'
0.966323410027 'coq/Coq_Arith_PeanoNat_Nat_le_lteq' 'h4/thm/extreal/le_lt_'
0.966323410027 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_eq_cases' 'h4/thm/integral/LE_LT_'
0.966323410027 'coq/Coq_NArith_BinNat_N_le_lteq' 'h4/thm/integer/INT_LE_CALCULATE_'
0.966323410027 'coq/Coq_Arith_PeanoNat_Nat_lt_eq_cases' 'h4/thm/extreal/le_lt_'
0.966323410027 'coq/Coq_ZArith_BinInt_Z_lt_eq_cases' 'h4/thm/real/REAL_LE_LT_'
0.966323410027 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_lteq' 'h4/thm/integral/LE_LT_'
0.966323410027 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_eq_cases' 'h4/thm/extreal/le_lt_'
0.966323410027 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_eq_cases' 'h4/thm/extreal/le_lt_'
0.966323410027 'coq/Coq_NArith_BinNat_N_lt_eq_cases' 'h4/thm/integer/INT_LE_CALCULATE_'
0.966323410027 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_lteq' 'h4/thm/extreal/le_lt_'
0.966323410027 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_eq_cases' 'h4/thm/arithmetic/LESS_OR_EQ_'
0.966323410027 'coq/Coq_ZArith_BinInt_Z_le_lteq' 'h4/thm/real/REAL_LE_LT_'
0.966323410027 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_lteq' 'h4/thm/arithmetic/LESS_OR_EQ_'
0.966323410027 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_lteq' 'h4/thm/extreal/le_lt_'
0.966323410027 'coq/Coq_NArith_BinNat_N_le_lteq' 'h4/thm/integer/INT_LE_LT_'
0.957431518501 'coq/Coq_ZArith_BinInt_Zpos_eq_iff' 'h4/thm/real/eq_ints_0'
0.957431518501 'coq/Coq_ZArith_BinInt_Zpos_eq_iff' 'h4/thm/real/REAL_OF_NUM_EQ_'
0.957431518501 'coq/Coq_ZArith_BinInt_Zpos_eq_iff' 'h4/thm/real/REAL_INJ_'
0.957431518501 'coq/Coq_ZArith_BinInt_Pos2Z_inj_iff' 'h4/thm/real/REAL_OF_NUM_EQ_'
0.957431518501 'coq/Coq_ZArith_BinInt_Pos2Z_inj_iff' 'h4/thm/real/REAL_INJ_'
0.957431518501 'coq/Coq_ZArith_BinInt_Pos2Z_inj_iff' 'h4/thm/real/eq_ints_0'
0.935690439853 'coq/Coq_PArith_POrderedType_Positive_as_DT_gt_lt_iff' 'h4/thm/pred_set/COUNT_applied_'
0.935690439853 'coq/Coq_NArith_BinNat_N_ge_le_iff' 'h4/thm/integer/int_ge_'
0.935690439853 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_ge_le_iff' 'h4/thm/real/real_ge_'
0.935690439853 'coq/Coq_NArith_BinNat_N_gt_lt_iff' 'h4/thm/integer/int_gt_'
0.935690439853 'coq/Coq_ZArith_BinInt_Z_ge_le_iff' 'h4/thm/real/real_ge_'
0.935690439853 'coq/Coq_NArith_BinNat_N_ge_le_iff' 'h4/thm/integer/INT_GE_CALCULATE_'
0.935690439853 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_gt_lt_iff' 'h4/thm/real/real_gt_'
0.935690439853 'coq/Coq_ZArith_BinInt_Z_gt_lt_iff' 'h4/thm/real/real_gt_'
0.935690439853 'coq/Coq_PArith_POrderedType_Positive_as_DT_ge_le_iff' 'h4/thm/arithmetic/GREATER_EQ_'
0.935690439853 'coq/Coq_NArith_BinNat_N_gt_lt_iff' 'h4/thm/integer/INT_GT_CALCULATE_'
0.926223766372 'coq/Coq_NArith_BinNat_N_eq_le_incl' 'h4/thm/HolSmt/t006_'
0.926223766372 'coq/Coq_NArith_BinNat_N_eq_le_incl' 'h4/thm/integer/INT_EQ_IMP_LE_'
0.926223766372 'coq/Coq_ZArith_BinInt_Z_eq_le_incl' 'h4/thm/real/REAL_EQ_IMP_LE_'
0.910768657533 'coq/Coq_ZArith_BinInt_Z_le_max_l' 'h4/thm/real/REAL_LE_MAX1_'
0.910768657533 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_max_l' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_0'
0.910768657533 'coq/Coq_NArith_BinNat_N_divide_factor_l' 'h4/thm/integer/INT_DIVIDES_MUL_0'
0.910768657533 'coq/Coq_Arith_PeanoNat_Nat_le_max_l' 'h4/thm/extreal/le_max1_'
0.910768657533 'coq/Coq_Arith_Max_le_max_l' 'h4/thm/extreal/le_max1_'
0.901569107592 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_succ_r' 'h4/thm/arithmetic/ADD_SUC_'
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0.901569107592 'coq/Coq_ZArith_BinInt_Zopp_mult_distr_r' 'h4/thm/real/REAL_MUL_RNEG_'
0.901569107592 'coq/Coq_ZArith_BinInt_Z_mul_opp_r' 'h4/thm/real/REAL_MUL_RNEG_'
0.901569107592 'coq/Coq_Numbers_Natural_BigN_Nbasic_plusnS' 'h4/thm/extreal/mul_rneg_'
0.901569107592 'coq/Coq_Init_Peano_plus_n_Sm' 'h4/thm/extreal/mul_rneg_'
0.901569107592 'coq/Coq_ZArith_BinInt_Z_mul_opp_r' 'h4/thm/real/REAL_NEG_RMUL_'
0.901569107592 'coq/Coq_Reals_RIneq_Ropp_mult_distr_r_reverse' 'h4/thm/complex/COMPLEX_NEG_RMUL_'#@#variant
0.901569107592 'coq/Coq_Reals_RIneq_Ropp_mult_distr_r' 'h4/thm/complex/COMPLEX_MUL_RNEG_'#@#variant
0.901569107592 'coq/Coq_ZArith_BinInt_Zopp_mult_distr_r' 'h4/thm/real/REAL_NEG_RMUL_'
0.901569107592 'coq/Coq_Reals_RIneq_Ropp_mult_distr_r_reverse' 'h4/thm/complex/COMPLEX_MUL_RNEG_'#@#variant
0.901569107592 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_succ_r' 'h4/thm/arithmetic/ADD_CLAUSES_e3'
0.898093869521 'coq/Coq_Structures_OrdersEx_Positive_as_DT_pred_succ' 'h4/thm/numeral/numeral_add_0'#@#variant
0.898093869521 'coq/Coq_PArith_POrderedType_Positive_as_OT_pred_succ' 'h4/thm/bit/LOG2_TWOEXP_'#@#variant
0.898093869521 'coq/Coq_Structures_OrdersEx_Positive_as_DT_pred_succ' 'h4/thm/numRing/num_rewrites_tLLRRRR'#@#variant
0.894174525642 'coq/Coq_ZArith_Zorder_Zplus_lt_compat_l' 'h4/thm/real/REAL_LT_IADD_'
0.894174525642 'coq/Coq_ZArith_Zorder_Zplus_le_compat_l' 'h4/thm/real/REAL_LE_LADD_IMP_'
0.894174525642 'coq/Coq_ZArith_Zorder_Zplus_lt_compat_l' 'h4/thm/realax/REAL_LT_IADD_'
0.894174525642 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_divide_mono_l' 'h4/thm/integer/TINT_LT_ADD_'#@#variant
0.879306464004 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_lt_mono_l' 'h4/thm/integer/LT_LADD_'
0.879306464004 'coq/Coq_ZArith_BinInt_Z_add_le_mono_l' 'h4/thm/real/REAL_LE_LADD_'
0.879306464004 'coq/Coq_ZArith_BinInt_Z_add_lt_mono_l' 'h4/thm/real/REAL_LT_LADD_'
0.879306464004 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_lt_mono_l' 'h4/thm/arithmetic/LT_ADD_LCANCEL_'
0.879306464004 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_le_mono_l' 'h4/thm/arithmetic/LE_ADD_LCANCEL_'
0.879306464004 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_le_mono_l' 'h4/thm/arithmetic/ADD_MONO_LESS_EQ_'
0.861502399332 'coq/Coq_ZArith_BinInt_Z_add_cancel_r' 'h4/thm/real/REAL_EQ_RADD_'
0.861502399332 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_cancel_r' 'h4/thm/arithmetic/EQ_ADD_RCANCEL_'
0.861502399332 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_cancel_r' 'h4/thm/arithmetic/EQ_MONO_ADD_EQ_'
0.85856239006 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_lt_mono_r' 'h4/thm/arithmetic/LT_ADD_RCANCEL_'
0.85856239006 'coq/Coq_ZArith_BinInt_Z_add_le_mono_r' 'h4/thm/real/REAL_LE_RADD_'
0.85856239006 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_le_mono_r' 'h4/thm/arithmetic/LE_ADD_RCANCEL_'
0.85856239006 'coq/Coq_ZArith_BinInt_Z_add_lt_mono_r' 'h4/thm/real/REAL_LT_RADD_'
0.85856239006 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_lt_mono_r' 'h4/thm/arithmetic/LESS_MONO_ADD_EQ_'
0.85856239006 'coq/Coq_ZArith_BinInt_Z_sub_le_mono_r' 'h4/thm/real/REAL_LE_SUB_CANCEL2_'
0.85856239006 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_le_mono_r' 'h4/thm/arithmetic/LESS_EQ_MONO_ADD_EQ_'
0.850713153615 'coq/Coq_Structures_OrderedTypeEx_N_as_OT_lt_not_eq' 'h4/thm/integer/INT_LT_IMP_NE_'
0.850713153615 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_lt_not_eq' 'h4/thm/real/REAL_LT_IMP_NE_'
0.850713153615 'coq/Coq_Structures_DecidableTypeEx_Z_as_DT_lt_not_eq' 'h4/thm/real/REAL_LT_IMP_NE_'
0.850713153615 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_neq' 'h4/thm/extreal/lt_imp_ne_'
0.850713153615 'coq/Coq_Arith_PeanoNat_Nat_lt_neq' 'h4/thm/extreal/lt_imp_ne_'
0.850713153615 'coq/Coq_Structures_OrderedTypeEx_Z_as_OT_lt_not_eq' 'h4/thm/real/REAL_LT_IMP_NE_'
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0.850713153615 'coq/Coq_Structures_DecidableTypeEx_N_as_DT_lt_not_eq' 'h4/thm/integer/INT_LT_IMP_NE_'
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0.850713153615 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_neq' 'h4/thm/extreal/lt_imp_ne_'
0.843690329263 'coq/Coq_ZArith_BinInt_Zopp_mult_distr_l' 'h4/thm/real/REAL_NEG_LMUL_'
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0.843690329263 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_succ_l' 'h4/thm/arithmetic/ADD_CLAUSES_2'
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0.837493561896 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_r' 'h4/thm/integer/TINT_ADD_WELLDEFR_'#@#variant
0.835771369161 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_le_mono' 'h4/thm/integer/TINT_NEG_WELLDEF_'#@#variant
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0.83226722177 'coq/Coq_Arith_PeanoNat_Nat_lt_nge' 'h4/thm/extreal/extreal_lt_def_'
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0.83226722177 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_nge' 'h4/thm/extreal/extreal_lt_def_'
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0.83226722177 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_nge' 'h4/thm/extreal/extreal_lt_def_'
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0.83226722177 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_nlt' 'h4/thm/arithmetic/NOT_LESS_'
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0.83226722177 'coq/Coq_NArith_BinNat_N_nle_gt' 'h4/thm/integer/INT_NOT_LE_'
0.83226722177 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_le_lt_iff' 'h4/thm/real/REAL_NOT_LT_'
0.83226722177 'coq/Coq_Structures_OrdersEx_Nat_as_OT_nle_gt' 'h4/thm/extreal/extreal_lt_def_'
0.83226722177 'coq/Coq_NArith_BinNat_N_nlt_ge' 'h4/thm/integer/INT_NOT_LT_'
0.83226722177 'coq/Coq_Structures_OrdersEx_Nat_as_DT_nle_gt' 'h4/thm/extreal/extreal_lt_def_'
0.83226722177 'coq/Coq_ZArith_BinInt_Z_nle_gt' 'h4/thm/real/REAL_NOT_LE_'
0.83226722177 'coq/Coq_NArith_BinNat_N_le_ngt' 'h4/thm/integer/INT_NOT_LT_'
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0.826745943586 'coq/Coq_ZArith_BinInt_Z_pred_lt_mono' 'h4/thm/transc/EXP_MONO_LT_'
0.826745943586 'coq/Coq_PArith_POrderedType_Positive_as_DT_succ_le_mono' 'h4/thm/arithmetic/LESS_EQ_MONO_'
0.826745943586 'coq/Coq_PArith_POrderedType_Positive_as_DT_succ_lt_mono' 'h4/thm/arithmetic/LESS_MONO_EQ_'
0.81687917564 'coq/Coq_ZArith_BinInt_Z_lt_asymm' 'h4/thm/real/REAL_LT_ANTISYM_'
0.81687917564 'coq/Coq_ZArith_BinInt_Z_lt_asymm' 'h4/thm/real/REAL_LT_GT_'
0.81687917564 'coq/Coq_Arith_PeanoNat_Nat_lt_asymm' 'h4/thm/extreal/lt_antisym_'
0.81687917564 'coq/Coq_NArith_BinNat_N_lt_asymm' 'h4/thm/integer/INT_LT_GT_'
0.81687917564 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_asymm' 'h4/thm/extreal/lt_antisym_'
0.81687917564 'coq/Coq_NArith_BinNat_N_lt_asymm' 'h4/thm/integer/INT_LT_ANTISYM_'
0.81687917564 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_asymm' 'h4/thm/extreal/lt_antisym_'
0.797811059774 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_cancel_l' 'h4/thm/arithmetic/EQ_ADD_LCANCEL_'
0.797811059774 'coq/Coq_ZArith_BinInt_Z_add_cancel_l' 'h4/thm/real/REAL_EQ_LADD_'
0.797811059774 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_cancel_l' 'h4/thm/integer/EQ_LADD_'
0.784435355205 'coq/Coq_Reals_RIneq_Ropp_involutive' 'h4/thm/complex/COMPLEX_NEGNEG_'#@#variant
0.784435355205 'coq/Coq_ZArith_BinInt_Z_opp_involutive' 'h4/thm/real/REAL_NEG_NEG_'
0.784435355205 'coq/Coq_ZArith_BinInt_Z_opp_involutive' 'h4/thm/real/REAL_NEGNEG_'
0.741398590058 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_irrefl' 'h4/thm/extreal/lt_refl_'
0.741398590058 'coq/Coq_ZArith_BinInt_Z_lt_irrefl' 'h4/thm/realax/REAL_LT_REFL_'
0.741398590058 'coq/Coq_ZArith_BinInt_Z_lt_irrefl' 'h4/thm/real/REAL_LT_REFL_'
0.741398590058 'coq/Coq_NArith_BinNat_N_lt_irrefl' 'h4/thm/integer/INT_LT_REFL_'
0.741398590058 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_irrefl' 'h4/thm/extreal/lt_refl_'
0.741398590058 'coq/Coq_Arith_PeanoNat_Nat_lt_irrefl' 'h4/thm/extreal/lt_refl_'
0.741398590058 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_irrefl' 'h4/thm/prim_rec/LESS_REFL_'
0.738123697254 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_total' 'h4/thm/arithmetic/LESS_CASES_IMP_'
0.738123697254 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_total' 'h4/thm/extreal/lt_total_'
0.738123697254 'coq/Coq_ZArith_BinInt_Z_lt_trichotomy' 'h4/thm/realax/REAL_LT_TOTAL_'
0.738123697254 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_trichotomy' 'h4/thm/extreal/lt_total_'
0.738123697254 'coq/Coq_Arith_PeanoNat_Nat_lt_total' 'h4/thm/extreal/lt_total_'
0.738123697254 'coq/Coq_ZArith_Zorder_not_Zeq' 'h4/thm/real/REAL_LT_TOTAL_'
0.738123697254 'coq/Coq_Arith_PeanoNat_Nat_lt_trichotomy' 'h4/thm/extreal/lt_total_'
0.738123697254 'coq/Coq_ZArith_Zorder_not_Zeq' 'h4/thm/realax/REAL_LT_TOTAL_'
0.738123697254 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_total' 'h4/thm/extreal/lt_total_'
0.738123697254 'coq/Coq_NArith_BinNat_N_lt_total' 'h4/thm/integer/INT_LT_TOTAL_'
0.738123697254 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_total' 'h4/thm/arithmetic/LESS_LESS_CASES_'
0.738123697254 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_trichotomy' 'h4/thm/extreal/lt_total_'
0.738123697254 'coq/Coq_ZArith_BinInt_Z_lt_trichotomy' 'h4/thm/real/REAL_LT_TOTAL_'
0.738123697254 'coq/Coq_ZArith_BinInt_Z_lt_total' 'h4/thm/realax/REAL_LT_TOTAL_'
0.738123697254 'coq/Coq_Arith_Compare_dec_not_eq' 'h4/thm/extreal/lt_total_'
0.738123697254 'coq/Coq_ZArith_BinInt_Z_lt_total' 'h4/thm/real/REAL_LT_TOTAL_'
0.738123697254 'coq/Coq_Arith_Lt_nat_total_order' 'h4/thm/extreal/lt_total_'
0.738123697254 'coq/Coq_NArith_BinNat_N_lt_trichotomy' 'h4/thm/integer/INT_LT_TOTAL_'
0.697338624995 'coq/Coq_Arith_PeanoNat_Nat_succ_inj_wd' 'h4/thm/extreal/eq_neg_'
0.697338624995 'coq/Coq_NArith_BinNat_N_succ_inj_wd' 'h4/thm/integer/INT_EQ_CALCULATE_1'
0.697338624995 'coq/Coq_NArith_BinNat_N_succ_inj_wd' 'h4/thm/integer/INT_EQ_NEG_'
0.697338624995 'coq/Coq_ZArith_BinInt_Z_pred_inj_wd' 'h4/thm/transc/EXP_INJ_'
0.697338624995 'coq/Coq_ZArith_BinInt_Z_opp_inj_wd' 'h4/thm/real/REAL_EQ_NEG_'
0.697338624995 'coq/Coq_Structures_OrdersEx_Nat_as_OT_succ_inj_wd' 'h4/thm/extreal/eq_neg_'
0.697338624995 'coq/Coq_Structures_OrdersEx_Nat_as_DT_succ_inj_wd' 'h4/thm/extreal/eq_neg_'
0.69249636277 'coq/__constr_Coq_Init_Peano_le_0_1' 'h4/thm/extreal/le_refl_'
0.69249636277 'coq/Coq_NArith_BinNat_N_le_refl' 'h4/thm/integer/INT_LE_REFL_'
0.69249636277 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_refl' 'h4/thm/extreal/le_refl_'
0.69249636277 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_refl' 'h4/thm/arithmetic/LESS_EQ_REFL_'
0.69249636277 'coq/Coq_Arith_PeanoNat_Nat_le_refl' 'h4/thm/extreal/le_refl_'
0.69249636277 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_refl' 'h4/thm/integer/TINT_EQ_REFL_'#@#variant
0.69249636277 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_refl' 'h4/thm/divides/DIVIDES_REFL_'
0.69249636277 'coq/Coq_NArith_BinNat_N_divide_refl' 'h4/thm/integer/INT_DIVIDES_REFL_'
0.69249636277 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_refl' 'h4/thm/extreal/le_refl_'
0.69249636277 'coq/Coq_ZArith_BinInt_Z_le_refl' 'h4/thm/real/REAL_LE_REFL_'
0.69059304695 'coq/Coq_ZArith_BinInt_Z_max_id' 'h4/thm/real/REAL_MAX_REFL_'
0.69059304695 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_id' 'h4/thm/arithmetic/MAX_IDEM_'
0.69059304695 'coq/Coq_Arith_Min_min_idempotent' 'h4/thm/extreal/min_refl_'
0.69059304695 'coq/Coq_Arith_PeanoNat_Nat_max_id' 'h4/thm/extreal/max_refl_'
0.69059304695 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_id' 'h4/thm/gcd/GCD_REF_'
0.69059304695 'coq/Coq_Arith_PeanoNat_Nat_min_id' 'h4/thm/extreal/min_refl_'
0.69059304695 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_id' 'h4/thm/arithmetic/MIN_IDEM_'
0.69059304695 'coq/Coq_ZArith_BinInt_Z_min_id' 'h4/thm/real/REAL_MIN_REFL_'
0.69059304695 'coq/Coq_Arith_Max_max_idempotent' 'h4/thm/extreal/max_refl_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_lcm_r' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_1'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_l' 'h4/thm/real/REAL_LT_IADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_inj_wd' 'h4/thm/toto/num_dt_11_0'
0. 'coq/Coq_PArith_BinPos_Pos_add_lt_mono_l' 'h4/thm/integer/INT_LE_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_diag' 'h4/thm/numeral/iSQR_'
0. 'coq/Coq_NArith_BinNat_N_mul_pos_pos' 'h4/thm/integer/TINT_LT_MUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_nonneg' 'h4/thm/integral/LT_0_'
0. 'coq/Coq_Strings_Ascii_ascii_N_embedding' 'h4/thm/string_num/n2s_s2n_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_le_mono_r_iff' 'h4/thm/integer/INT_LE_MONO_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_lt_mono_r' 'h4/thm/integer/INT_LE_RADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_gt_cases' 'h4/thm/arithmetic/LESS_CASES_'
0. 'coq/Coq_ZArith_Znat_inj_neq' 'h4/thm/realax/TREAL_ISO_'#@#variant
0. 'coq/Coq_fourier_Fourier_util_Rlt_zero_pos_plus1'#@#variant 'h4/thm/extreal/le_inv_'#@#variant
0. 'coq/Coq_Reals_ROrderedType_ROrder_TO_le_lteq' 'h4/thm/string/string_le_def_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ldiff_m1_l'#@#variant 'h4/thm/integer/INT_SUB_REDUCE_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_sub_0' 'h4/thm/rat/RAT_LES_SUB0_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_lcm_r' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_1'
0. 'coq/Coq_ZArith_Zpower_two_power_pos_equiv'#@#variant 'h4/thm/numRing/num_ring_thms_e17'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_lt_cancel' 'h4/thm/arithmetic/LESS_MONO_REV_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_lt_mono' 'h4/thm/integerRing/int_rewrites_tRRRRRRLRRRR'
0. 'coq/Coq_Reals_Rpower_ln_exp' 'h4/thm/numeral/numeral_add_0'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_even' 'h4/thm/ieee/Sign_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_rem_0_l' 'h4/thm/integer/INT_QUOT_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_lt_add_l' 'h4/thm/integer/INT_DIVIDES_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_lub_lt_iff' 'h4/thm/util_prob/MAX_LE_X_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_le_mono_pos_r'#@#variant 'h4/thm/intExtension/INT_LT_RMUL_EXP_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pow_inj_l' 'h4/thm/real/REAL_EQ_RMUL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_trichotomy' 'h4/thm/realax/REAL_LT_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_succ_le_mono' 'h4/thm/numeral/numeral_distrib_22'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_neg_neg'#@#variant 'h4/thm/extreal/lt_mul_neg_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lnot_involutive' 'h4/thm/integer/INT_REM_CALCULATE_2'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_square_spec' 'h4/thm/HolSmt/r216_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_le' 'h4/thm/real/ABS_BOUNDS_'
0. 'coq/Coq_QArith_Qminmax_Q_min_glb_lt_iff' 'h4/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_Reals_Rtrigo1_cos_neg' 'h4/thm/transc/COS_NEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_le_mono_l' 'h4/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_divide_refl' 'h4/thm/integer/TINT_EQ_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_add_r' 'h4/thm/arithmetic/LESS_EQ_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_1_r' 'h4/thm/integer/INT_MUL_REDUCE_0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_lt_mono' 'h4/thm/arithmetic/LESS_MONO_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_succ' 'h4/thm/transc/ATN_e2'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_factor_l' 'h4/thm/integer/INT_DIVIDES_MUL_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_1' 'h4/thm/util_prob/ONE_MINUS_HALF_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_lteq' 'h4/thm/extreal/le_lt_'
0. 'coq/Coq_ZArith_BinInt_Z_le_min_l' 'h4/thm/extreal/min_le1_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_1_l' 'h4/thm/integer/INT_DIVIDES_1_0'#@#variant
0. 'coq/Coq_Bool_Bool_xorb_negb_negb' 'h4/thm/extreal/neg_mul2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_le_mono' 'h4/thm/bit/TWOEXP_MONO2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_succ' 'h4/thm/numeral_bit/NUMERAL_iDIV2_2'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_id' 'h4/thm/arithmetic/MAX_IDEM_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_0_l' 'h4/thm/integer/TINT_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_l' 'h4/thm/real/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_divide_mono_r' 'h4/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sub_succ' 'h4/thm/extreal/neg_mul2_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_succ_r' 'h4/thm/rat/RAT_AINV_RMUL_'
0. 'coq/Coq_QArith_QOrderedType_Q_as_OT_eqb_eq' 'h4/thm/quote/index_lt_def_'
0. 'coq/Coq_ZArith_Znat_Zabs2N_inj_lt'#@#variant 'h4/thm/float/FLOAT_GE_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_even' 'h4/thm/rat/RAT_SGN_CALCULATE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_le_mono_r' 'h4/thm/integer/INT_LE_RADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lcm_eq_0' 'h4/thm/arithmetic/MULT_EQ_0_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_pred' 'h4/thm/transc/EXP_NEG_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_quot_pos'#@#variant 'h4/thm/util_prob/REAL_LE_LT_MUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_sub_lt_add_r' 'h4/thm/real/REAL_LE_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pos_pred_succ' 'h4/thm/ieee/ccode_BIJ_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_le_mono' 'h4/thm/real/REAL_POS_MONO_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_incr' 'h4/thm/extreal/extreal_sqrt_def_0'
0. 'coq/Coq_fourier_Fourier_util_Rfourier_le'#@#variant 'h4/thm/real/REAL_LT_LMUL_IMP_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_cancel_r' 'h4/thm/real/REAL_LE_SUB_CANCEL2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_le_mono_r' 'h4/thm/arithmetic/LE_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div_1_r' 'h4/thm/HolSmt/r214_'
0. 'coq/Coq_ZArith_BinInt_Z_pow_1_r' 'h4/thm/rat/RAT_SUB_RID_'
0. 'coq/Coq_PArith_BinPos_Pos_add_lt_mono_l' 'h4/thm/realax/HREAL_LT_LADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_land' 'h4/thm/transc/EXP_SUB_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mod_mod' 'h4/thm/integer/INT_MOD_MOD_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_lcm_r' 'h4/thm/hreal/HRAT_LT_ADDR_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_gt_cases' 'h4/thm/integer/INT_LET_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_nonneg_nonneg' 'h4/thm/arithmetic/LESS_MULT2_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_le_mono' 'h4/thm/integer/TINT_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_opp_diag_r' 'h4/thm/real/REAL_ADD_RINV_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rmax_Rle' 'h4/thm/real/REAL_LE_MAX_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_inj_wd' 'h4/thm/integer/INT_EQ_NEG_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_pos_pos' 'h4/thm/realax/TREAL_LT_MUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_opp_r' 'h4/thm/extreal/mul_rneg_'
0. 'coq/Coq_Arith_Factorial_lt_O_fact' 'h4/thm/transc/ATN_BOUNDS_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_opp_r' 'h4/thm/real/REAL_SUB_RNEG_'
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_pos' 'h4/thm/integral/LT_0_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_sqrt' 'h4/thm/extreal/extreal_exp_def_0'
0. 'coq/Coq_ZArith_Znat_Z2N_inj_div2' 'h4/thm/extreal/extreal_ainv_def_e2'
0. 'coq/Coq_ZArith_BinInt_Z_pred_lt_mono' 'h4/thm/numpair/tri_LE_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_succ_lt_mono' 'h4/thm/integerRing/int_rewrites_tRRRRRRLRRRR'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_neg_xO'#@#variant 'h4/thm/rat/RAT_AINV_CALCULATE_'
0. 'coq/Coq_Arith_Lt_nat_total_order' 'h4/thm/real/REAL_LT_TOTAL_'
0. 'coq/Coq_Arith_Gt_gt_asym' 'h4/thm/extreal/lt_antisym_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_le_compat_r' 'h4/thm/hrat/TRAT_ADD_WELLDEFINED_'#@#variant
0. 'coq/Coq_QArith_QOrderedType_QOrder_eq_lt' 'h4/thm/arithmetic/LESS_EQ_LESS_TRANS_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_sub_diag' 'h4/thm/integer/INT_SUB_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_add_lt_sub_r' 'h4/thm/real/REAL_LT_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_succ_l' 'h4/thm/complex/COMPLEX_MUL_LNEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_mul_below' 'h4/thm/real/REAL_SUB_ABS_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_ge_cases' 'h4/thm/arithmetic/LESS_EQ_CASES_'
0. 'coq/Coq_Lists_List_firstn_skipn' 'h4/thm/list/TAKE_DROP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_le_mono' 'h4/thm/numeral/numeral_lte_e6'
0. 'coq/Coq_Bool_Bool_negb_true_iff' 'h4/thm/numeral/numeral_distrib_17'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_trichotomy' 'h4/thm/rat/RAT_LES_TOTAL_'
0. 'coq/Coq_Reals_Rminmax_R_min_glb_lt_iff' 'h4/thm/extreal/le_min_'
0. 'coq/Coq_PArith_BinPos_Pos_add_cancel_l' 'h4/thm/integer/EQ_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_inj_wd' 'h4/thm/transc/EXP_INJ_'
0. 'coq/Coq_ZArith_BinInt_Z_lxor_nonneg'#@#variant 'h4/thm/arithmetic/EVEN_ADD_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_le_trans' 'h4/thm/integer/INT_LTE_TRANS_'
0. 'coq/Coq_NArith_BinNat_N_mul_eq_1'#@#variant 'h4/thm/arithmetic/ADD_EQ_0_'
0. 'coq/Coq_NArith_BinNat_N_min_glb' 'h4/thm/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_lnot_diag'#@#variant 'h4/thm/hreal/HRAT_MUL_RINV_'
0. 'coq/Coq_NArith_BinNat_N_min_le_compat_r' 'h4/thm/integer/TINT_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_lt_mono_r' 'h4/thm/rat/RAT_LES_RADD_'
0. 'coq/Coq_Init_Peano_le_n_S' 'h4/thm/divides/LT_PRIMES_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_sub_le_add_r' 'h4/thm/rat/RAT_RSUB_LES_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mod_small'#@#variant 'h4/thm/integer/INT_LESS_MOD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_l' 'h4/thm/real/REAL_MAX_ALT_e1'
0. 'coq/Coq_NArith_BinNat_N_add_pos_pos' 'h4/thm/arithmetic/LESS_MULT2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_even_1' 'h4/thm/ieee/Plus_zero_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_le_mono_l' 'h4/thm/hreal/HRAT_LT_LMUL_'
0. 'coq/Coq_NArith_BinNat_N_max_lt_iff' 'h4/thm/arithmetic/MAX_LE_0'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_eqb_eq' 'h4/thm/quote/compare_index_equal_'
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_divide_iff' 'h4/thm/arithmetic/MIN_LE_e1'
0. 'coq/Coq_Arith_Wf_nat_lt_wf' 'h4/thm/toto/StrongLinearOrder_LESS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pred_succ' 'h4/thm/string/IMPLODE_EXPLODE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lnot_0_l' 'h4/thm/util_prob/lg_def_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_ones_equiv'#@#variant 'h4/thm/numeral_bit/NUMERAL_iDIV2_4'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_le_mono' 'h4/thm/transc/EXP_MONO_LT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_inj_wd' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_diag' 'h4/thm/real/REAL_SUB_REFL_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div_1_r' 'h4/thm/integer/INT_SUB_REDUCE_0'
0. 'coq/Coq_ZArith_BinInt_Z_quot_le_mono'#@#variant 'h4/thm/real/REAL_LT_RMUL_IMP_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_succ_inj_wd' 'h4/thm/numRing/num_rewrites_tRRRRRRRLR'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_1_l' 'h4/thm/HolSmt/r128_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_succ_le_pred' 'h4/thm/bit/TWOEXP_LE_IMP_LE_LOG2_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_simpl_r' 'h4/thm/complex/COMPLEX_SUB_ADD_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_b2z_div2'#@#variant 'h4/thm/extreal/extreal_sub_def_e6'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_pos'#@#variant 'h4/thm/real/REAL_LT_INV_EQ_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_Even_or_Odd' 'h4/thm/arithmetic/EVEN_OR_ODD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_pos_pos' 'h4/thm/binary_ieee/le2_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_succ_l' 'h4/thm/rat/RAT_AINV_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_glb_lt_iff' 'h4/thm/arithmetic/MIN_LE_e1'
0. 'coq/Coq_NArith_BinNat_N_div2_succ_double' 'h4/thm/transc/ATN_e2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_lt_mono' 'h4/thm/real/REAL_LE_NEG_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_divide' 'h4/thm/string/char_le_def_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_null_iff' 'h4/thm/real/ABS_ZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_0_r_nonneg'#@#variant 'h4/thm/transc/RPOW_1_'#@#variant
0. 'coq/Coq_Lists_List_app_nil_r' 'h4/thm/sptree/union_LN_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_le_mono_r' 'h4/thm/real/REAL_LE_SUB_CANCEL2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_clearbit_spec_prime'#@#variant 'h4/thm/real/REAL_SUB_RNEG_'
0. 'coq/Coq_QArith_Qminmax_Q_max_le_compat_r' 'h4/thm/hrat/TRAT_ADD_WELLDEFINED_'#@#variant
0. 'coq/Coq_QArith_Qminmax_Q_min_assoc' 'h4/thm/hrat/TRAT_ADD_ASSOC_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_max_r' 'h4/thm/extreal/le_max2_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_square_spec' 'h4/thm/numeral/iSQR_'
0. 'coq/Coq_ZArith_Znumtheory_rel_prime_div' 'h4/thm/rat/RAT_LEQ_LES_TRANS_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_nonneg' 'h4/thm/divides/ZERO_LT_PRIMES_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_le_mono' 'h4/thm/bit/TWOEXP_MONO2_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_max_lub' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_e2'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_le_iff' 'h4/thm/util_prob/X_LE_MAX_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_succ_inj_wd' 'h4/thm/quote/index_11_0'
0. 'coq/Coq_ZArith_BinInt_Z_opp_inj_wd' 'h4/thm/integer/INT_EQ_CALCULATE_1'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lcm_1_l' 'h4/thm/integer/INT_ADD_REDUCE_0'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_comm' 'h4/thm/hrat/TRAT_ADD_SYM_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sub_1_r'#@#variant 'h4/thm/arithmetic/PRE_SUB1_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftr_div_pow2'#@#variant 'h4/thm/real/real_sub_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_pred_l' 'h4/thm/numpair/invtri_le_'
0. 'coq/Coq_ZArith_Zdiv_Z_div_mult_full' 'h4/thm/integer/INT_DIV_RMUL_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_le_trans' 'h4/thm/extreal/lte_trans_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_double'#@#variant 'h4/thm/util_prob/neg_lg_'#@#variant
0. 'coq/Coq_Bool_Bool_orb_diag' 'h4/thm/real/REAL_MAX_REFL_'
0. 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_gt_lt_iff' 'h4/thm/string/string_ge_def_'#@#variant
0. 'coq/Coq_Init_Datatypes_surjective_pairing' 'h4/thm/pair/PAIR_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_total' 'h4/thm/real/REAL_LT_TOTAL_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_opp_r' 'h4/thm/complex/complex_div_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_pred_l' 'h4/thm/numpair/nsnd_le_'
0. 'coq/Coq_Reals_ROrderedType_ROrder_TO_le_lteq' 'h4/thm/arithmetic/GREATER_OR_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lor_lnot_diag'#@#variant 'h4/thm/real/REAL_ADD_RINV_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_opp_diag_l' 'h4/thm/realax/REAL_ADD_LINV_'
0. 'coq/Coq_QArith_QOrderedType_QOrder_eq_le' 'h4/thm/arithmetic/LESS_EQ_LESS_TRANS_'
0. 'coq/Coq_Reals_Ratan_ps_atan_opp' 'h4/thm/numeral/numeral_distrib_16'
0. 'coq/Coq_Arith_Div2_div2_double'#@#variant 'h4/thm/transc/ATN_TAN_'
0. 'coq/Coq_ZArith_BinInt_Z_abs_eq'#@#variant 'h4/thm/intExtension/INT_ABS_CALCULATE_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_involutive' 'h4/thm/integer/INT_QUOT_CALCULATE_e4'
0. 'coq/Coq_Reals_R_sqrt_sqrt_le_1_alt' 'h4/thm/divides/LT_PRIMES_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_lub_iff' 'h4/thm/arithmetic/MAX_LE_e1'
0. 'coq/Coq_Reals_RIneq_Rmult_le_pos' 'h4/thm/realax/TREAL_LT_MUL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_gcd_eq_0' 'h4/thm/arithmetic/MULT_EQ_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_opp_l' 'h4/thm/HolSmt/r225_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_lt' 'h4/thm/string/char_ge_def_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_testbit_of_N' 'h4/thm/intto/pos_pos_thm_'
0. 'coq/Coq_ZArith_Znat_nat_N_Z' 'h4/thm/realax/hreal_of_real_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_gt_lt_iff' 'h4/thm/real/real_gt_'
0. 'coq/Coq_Arith_PeanoNat_Nat_b2n_div2'#@#variant 'h4/thm/extreal/extreal_sub_def_e6'
0. 'coq/Coq_NArith_BinNat_N_pos_pred_spec' 'h4/thm/numRing/num_ring_thms_e17'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sub_move_r' 'h4/thm/integer/INT_EQ_SUB_LADD_'
0. 'coq/Coq_Reals_RIneq_opp_IZR' 'h4/thm/complex/COMPLEX_OF_REAL_INV_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lor_lnot_diag'#@#variant 'h4/thm/rat/RAT_ADD_RINV_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_succ_not_1' 'h4/thm/intto/BIT1_nz_'
0. 'coq/Coq_Reals_Rtrigo_calc_Rlt_sqrt3_0'#@#variant 'h4/thm/real/REAL_THIRDS_BETWEEN_tLL'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_pos_r'#@#variant 'h4/thm/real/REAL_LE_RMUL_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_le_mono_l' 'h4/thm/integer/LT_LADD_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_of_Z' 'h4/thm/binary_ieee/num2rounding_rounding2num_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_divide_xO_xO' 'h4/thm/transc/EXP_MONO_LE_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_1_l' 'h4/thm/divides/ONE_DIVIDES_ALL_'#@#variant
0. 'coq/Coq_Reals_RIneq_S_INR' 'h4/thm/integer/tint_of_num_e1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_le_compat_r' 'h4/thm/integer/TINT_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_l' 'h4/thm/arithmetic/LESS_MOD_'
0. 'coq/Coq_ZArith_BinInt_Z_succ_le_mono' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_succ_diag_r' 'h4/thm/prim_rec/LESS_SUC_SUC_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_1' 'h4/thm/integer/INT_NEG_0_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_opp_r' 'h4/thm/extreal/sub_rneg_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_add' 'h4/thm/real/REAL_ADD_SUB_ALT_'
0. 'coq/Coq_NArith_BinNat_N_le_add_r' 'h4/thm/integer/INT_DIVIDES_MUL_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_cancel_l' 'h4/thm/hreal/HRAT_EQ_LADD_'
0. 'coq/Coq_Reals_Rtrigo_def_cosn_no_R0' 'h4/thm/extreal/extreal_distinct_1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_mul_below' 'h4/thm/real/REAL_SUB_ABS_'
0. 'coq/Coq_Reals_R_sqrt_sqrt_mult'#@#variant 'h4/thm/transc/SQRT_MUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_odd_opp' 'h4/thm/complex/MODU_NEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_move_0_l' 'h4/thm/real/REAL_RNEG_UNIQ_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_factor_l' 'h4/thm/arithmetic/LESS_EQ_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_neq_succ_0' 'h4/thm/bit/TWOEXP_NOT_ZERO_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_abs_eq'#@#variant 'h4/thm/real/REAL_POS_ID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_null'#@#variant 'h4/thm/intExtension/INT_SGN_CLAUSES_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_1_r' 'h4/thm/rat/RAT_SUB_RID_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_nlt_ge' 'h4/thm/arithmetic/NOT_LESS_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_id' 'h4/thm/string/CHR_ORD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_id' 'h4/thm/arithmetic/MIN_IDEM_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_le_mono' 'h4/thm/numpair/tri_LT_I_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_add' 'h4/thm/arithmetic/ADD_SUB_'
0. 'coq/Coq_Bool_Bool_xorb_nilpotent' 'h4/thm/arithmetic/ABS_DIFF_EQS_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lnot_ones' 'h4/thm/integer/INT_ADD_LINV_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_1_l' 'h4/thm/HolSmt/r128_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftr_opp_r' 'h4/thm/extreal/extreal_sub_add_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_mul_l' 'h4/thm/integer/INT_DIVIDES_LMUL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_succ_le_mono' 'h4/thm/numeral/numeral_lte_e6'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_nonneg' 'h4/thm/transc/ATN_BOUNDS_0'#@#variant
0. 'coq/Coq_Reals_Rsqrt_def_pow_2_n_neq_R0' 'h4/thm/extreal/extreal_distinct_e2'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_testbit_even_0'#@#variant 'h4/thm/toto/numeralOrd_4'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lcm_eq_0' 'h4/thm/extreal/entire_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_sub_le_add_r' 'h4/thm/integer/INT_LT_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lor_diag' 'h4/thm/arithmetic/MIN_IDEM_'
0. 'coq/Coq_ZArith_Znat_Zabs_N_nat' 'h4/thm/realax/hreal_of_real_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_lt_mono'#@#variant 'h4/thm/real/REAL_LT_MUL2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_refl' 'h4/thm/real/REAL_LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_lt_mono_r' 'h4/thm/arithmetic/LT_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_mul_r' 'h4/thm/logroot/EXP_MUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_0_sub' 'h4/thm/arithmetic/SUB_LESS_0_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_pos'#@#variant 'h4/thm/numeral/numeral_distrib_33'
0. 'coq/Coq_ZArith_BinInt_Z_mul_lt_mono_pos_r'#@#variant 'h4/thm/real/REAL_LT_RDIV_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_nlt_ge' 'h4/thm/integer/INT_NOT_LE_'
0. 'coq/Coq_NArith_BinNat_N_log2_nonneg' 'h4/thm/divides/ZERO_LT_PRIMES_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_lt_mono_pos_l'#@#variant 'h4/thm/real/REAL_LT_LMUL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_le_mono' 'h4/thm/numpair/tri_LE_'
0. 'coq/Coq_ZArith_BinInt_Z_add_lt_mono_l' 'h4/thm/arithmetic/LT_ADD_LCANCEL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_add_r' 'h4/thm/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_refl' 'h4/thm/integer/TINT_EQ_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_diag' 'h4/thm/real/REAL_DOUBLE_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_cancel_r' 'h4/thm/complex/COMPLEX_EQ_RADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_succ_l' 'h4/thm/arithmetic/ADD_CLAUSES_2'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_pos'#@#variant 'h4/thm/transc/LN_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div_str_pos'#@#variant 'h4/thm/bit/DIV_GT0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_0_succ' 'h4/thm/arithmetic/FACT_LESS_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_le_compat_l' 'h4/thm/integer/INT_LT_LADD_IMP_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_cancel_l' 'h4/thm/arithmetic/LE_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lor_diag' 'h4/thm/real/REAL_MIN_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_sub' 'h4/thm/complex/COMPLEX_SUB_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lor_eq_0_iff' 'h4/thm/arithmetic/MULT_EQ_1_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_lub_lt_iff' 'h4/thm/extreal/max_le_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_pos_pos' 'h4/thm/realax/TREAL_LT_MUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_pos'#@#variant 'h4/thm/transc/LN_POS_'#@#variant
0. 'coq/Coq_Sets_Constructive_sets_Extension' 'h4/thm/sorting/PERM_INTRO_'
0. 'coq/Coq_Arith_PeanoNat_Nat_max_id' 'h4/thm/arithmetic/MIN_IDEM_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ldiff_m1_r'#@#variant 'h4/thm/integer/INT_MOD_1_'#@#variant
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_l2i_i2l' 'h4/thm/string_num/s2n_n2s_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_rem_1_r'#@#variant 'h4/thm/arithmetic/MOD_ONE_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_neq_0_succ' 'h4/thm/intto/BIT2_nz_'
0. 'coq/Coq_QArith_Qcanon_Qcopp_involutive' 'h4/thm/complex/COMPLEX_NEGNEG_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_setbit_spec_prime'#@#variant 'h4/thm/extreal/extreal_sub_add_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_succ_lt_mono' 'h4/thm/integerRing/int_rewrites_tLRRRRLRRR'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_divide_cancel_l' 'h4/thm/integer/INT_DIVIDES_MUL_BOTH_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_shiftr_div_pow2'#@#variant 'h4/thm/integer/INT_SUB_RNEG_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_eq_mul_0_r' 'h4/thm/extreal/add_not_infty_e1'
0. 'coq/Coq_ZArith_Znat_Z_nat_N' 'h4/thm/rat/rat_dnm_def_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_iff' 'h4/thm/patricia_casts/string_to_num_11_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_null_iff' 'h4/thm/real/ABS_ZERO_'#@#variant
0. 'coq/Coq_Structures_DecidableTypeEx_Z_as_DT_lt_not_eq' 'h4/thm/prim_rec/NOT_LESS_EQ_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_le' 'h4/thm/string/char_ge_def_'
0. 'coq/Coq_NArith_BinNat_N_lt_wf_0' 'h4/thm/arithmetic/transitive_LESS_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_add_le' 'h4/thm/real/ABS_TRIANGLE_'
0. 'coq/Coq_ZArith_BinInt_Z_pow_le_mono_r'#@#variant 'h4/thm/extreal/le_lmul_imp_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_0_r' 'h4/thm/arithmetic/ADD1_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_pred' 'h4/thm/complex/COMPLEX_EXP_NEG_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_lt_trans' 'h4/thm/rat/RAT_LEQ_LES_TRANS_'
0. 'coq/Coq_ZArith_Zorder_Zplus_le_compat_l' 'h4/thm/extreal/le_ladd_imp_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_le_mono' 'h4/thm/hrat/TRAT_INV_WELLDEFINED_'#@#variant
0. 'coq/Coq_Reals_RIneq_succ_IZR' 'h4/thm/integer/INT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_total' 'h4/thm/extreal/lt_total_'
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_l' 'h4/thm/integer/TINT_LT_ADD_'#@#variant
0. 'coq/Coq_ZArith_Zdiv_Zdiv_1_r' 'h4/thm/integer/INT_SUB_RZERO_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_involutive' 'h4/thm/integer/INT_ADD_REDUCE_3'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_diag' 'h4/thm/HolSmt/r216_'#@#variant
0. 'coq/Coq_QArith_Qminmax_Q_max_le_compat_r' 'h4/thm/arithmetic/LESS_MONO_MULT_'
0. 'coq/Coq_ZArith_BinInt_Z_add_le_mono_r' 'h4/thm/hreal/HRAT_LT_RMUL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_wf_0' 'h4/thm/arithmetic/transitive_LESS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_refl' 'h4/thm/poly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_succ_l' 'h4/thm/frac/FRAC_AINV_LMUL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_opp_r' 'h4/thm/real/REAL_SUB_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_divide_mono_r' 'h4/thm/hrat/TRAT_ADD_WELLDEFINED_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_le_compat_r' 'h4/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_lt_le_mono' 'h4/thm/integer/INT_LTE_ADD2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_total' 'h4/thm/rat/RAT_LES_TOTAL_'
0. 'coq/Coq_NArith_BinNat_N_lnot_ones' 'h4/thm/realax/REAL_ADD_LINV_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_le_compat_r' 'h4/thm/integer/TINT_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sub_add_distr' 'h4/thm/arithmetic/SUB_PLUS_'
0. 'coq/Coq_Reals_Rminmax_R_max_id' 'h4/thm/extreal/min_refl_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_nle' 'h4/thm/HolSmt/r096_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_1_l'#@#variant 'h4/thm/HolSmt/r128_'#@#variant
0. 'coq/Coq_Arith_Plus_plus_lt_compat_l' 'h4/thm/real/REAL_LT_IADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_lt_mono' 'h4/thm/transc/EXP_MONO_LT_'
0. 'coq/Coq_ZArith_BinInt_Z_div2_div'#@#variant 'h4/thm/arithmetic/PRE_SUB1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_add_pos_r'#@#variant 'h4/thm/arithmetic/X_LE_X_EXP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_succ_l' 'h4/thm/extreal/mul_lneg_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_succ_le_mono' 'h4/thm/numeral/numeral_lt_3'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_add_r' 'h4/thm/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_log2_le_mono' 'h4/thm/divides/LT_PRIMES_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_0_l' 'h4/thm/integral/LE_0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_lt_iff' 'h4/thm/util_prob/X_LE_MAX_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_alt_dichotomy' 'h4/thm/extreal/le_total_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_gcd_divide_r' 'h4/thm/real/REAL_MIN_LE2_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_pos_pos' 'h4/thm/integer/TINT_LT_MUL_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pred_le_mono' 'h4/thm/prim_rec/LESS_MONO_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_succ_l' 'h4/thm/integer/INT_MUL_CALCULATE_1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_0_l' 'h4/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_succ' 'h4/thm/toto/num_dt_size_def_1'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_sub_diag' 'h4/thm/rat/RAT_SUB_ID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_1_l'#@#variant 'h4/thm/integer/INT_SUB_REDUCE_1'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_lt_nle' 'h4/thm/real/REAL_NOT_LT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_le_mono_l' 'h4/thm/extreal/le_radd_imp_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mod_small' 'h4/thm/real/REAL_MIN_ALT_0'
0. 'coq/Coq_ZArith_BinInt_Z_setbit_spec_prime'#@#variant 'h4/thm/rat/RAT_SUB_ADDAINV_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_pow_succ_r' 'h4/thm/arithmetic/MULT_SUC_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_nonneg_nonneg' 'h4/thm/realax/REAL_LT_MUL_'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_minus_one_neq_zero'#@#variant 'h4/thm/binary_ieee/float_compare_distinct_4'
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_le_mono' 'h4/thm/integer/TINT_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ones_equiv'#@#variant 'h4/thm/numeral_bit/NUMERAL_iDIV2_4'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_nonneg' 'h4/thm/integral/LT_0_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_id' 'h4/thm/string/char_BIJ_0'
0. 'coq/Coq_Arith_Plus_plus_le_lt_compat' 'h4/thm/real/REAL_LET_ADD2_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_eq_0' 'h4/thm/arithmetic/ADD_EQ_0_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_sgn' 'h4/thm/quote/index_size_def_1'#@#variant
0. 'coq/Coq_Arith_Gt_gt_S_n' 'h4/thm/arithmetic/LESS_MONO_REV_'
0. 'coq/Coq_ZArith_Znumtheory_rel_prime_div' 'h4/thm/real/REAL_LET_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_lt_mono_r' 'h4/thm/integer/INT_LT_RADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_divide_iff' 'h4/thm/extreal/le_min_'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_iff' 'h4/thm/ieee/roundmode2num_11_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_sub_le_add_r' 'h4/thm/real/REAL_LE_SUB_LADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_le_mono' 'h4/thm/real/REAL_LT_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_opp_r' 'h4/thm/frac/frac_div_def_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_gt' 'h4/thm/integer/INT_LT_CALCULATE_0'
0. 'coq/Coq_Reals_RIneq_Req_le' 'h4/thm/realax/TREAL_EQ_AP_'#@#variant
0. 'coq/Coq_Reals_Rfunctions_R_dist_refl' 'h4/thm/real/REAL_SUB_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_lt_add_l' 'h4/thm/integer/INT_DIVIDES_RMUL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_2' 'h4/thm/real/REAL_THIRDS_BETWEEN_e4'#@#variant
0. 'coq/Coq_QArith_Qminmax_Q_min_glb_iff' 'h4/thm/integral/REAL_LT_MIN_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_glb_lt_iff' 'h4/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_nonneg' 'h4/thm/prim_rec/LESS_0_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_nonneg_nonneg' 'h4/thm/integer/TINT_LT_MUL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_0_l'#@#variant 'h4/thm/arithmetic/ZERO_DIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_cancel_r' 'h4/thm/rat/RAT_EQ_RADD_'
0. 'coq/Coq_ZArith_BinInt_Z_le_max_l' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_0'
0. 'coq/Coq_NArith_BinNat_N_b2n_div2'#@#variant 'h4/thm/extreal/extreal_sub_def_e6'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_lt' 'h4/thm/string/char_gt_def_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_irrefl' 'h4/thm/hreal/HRAT_LT_REFL_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigN_BigZ_spec_Z_of_N' 'h4/thm/rat/rat_sgn_def_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sub_add' 'h4/thm/hreal/HREAL_SUB_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lcm_1_r'#@#variant 'h4/thm/arithmetic/ADD1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_square_spec' 'h4/thm/HolSmt/r216_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qplus_inj_r' 'h4/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_neq' 'h4/thm/integral/LT_LE_'
0. 'coq/Coq_ZArith_Zeven_Zeven_not_Zodd' 'h4/thm/arithmetic/EVEN_AND_ODD_'
0. 'coq/Coq_QArith_QOrderedType_QOrder_eq_refl' 'h4/thm/integer/TINT_EQ_REFL_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rplus_le_le_0_compat' 'h4/thm/realax/TREAL_LT_MUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_testbit_even_0'#@#variant 'h4/thm/quote/index_compare_def_3'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_opp_r' 'h4/thm/frac/frac_sub_def_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_lcm_l' 'h4/thm/integer/INT_DIVIDES_MUL_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_0_l' 'h4/thm/rat/RAT_SUB_LID_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_succ_inj_wd' 'h4/thm/integerRing/int_rewrites_tLRRRLRRR'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_is_nonneg'#@#variant 'h4/thm/extreal/lt_infty_0'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_pred_r' 'h4/thm/integer/INT_MUL_CALCULATE_2'
0. 'coq/Coq_ZArith_BinInt_Z_add_succ_r' 'h4/thm/arithmetic/ADD_SUC_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_le_mono_l' 'h4/thm/real/REAL_LT_LADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_le_mono' 'h4/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lcm_1_r' 'h4/thm/rat/RAT_ADD_RID_'
0. 'coq/Coq_Bool_Bool_orb_true_iff' 'h4/thm/integer/INT_ENTIRE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_nonneg'#@#variant 'h4/thm/real/REAL_LT_INV_EQ_'#@#variant
0. 'coq/Coq_QArith_Qabs_Qabs_triangle_reverse' 'h4/thm/real/REAL_SUB_ABS_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lor_eq_0_iff' 'h4/thm/arithmetic/MULT_EQ_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_leb_le' 'h4/thm/quote/index_lt_def_'
0. 'coq/Coq_ZArith_BinInt_Z_succ_lt_mono' 'h4/thm/numeral/numeral_distrib_28'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_div_lt'#@#variant 'h4/thm/arithmetic/DIV_LESS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_succ_diag_r' 'h4/thm/real/REAL_POS_INFLATE_'
0. 'coq/Coq_PArith_Pnat_Pmult_nat_l_plus_morphism'#@#variant 'h4/thm/poly/POLY_MUL_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_le_iff' 'h4/thm/arithmetic/MAX_LE_0'
0. 'coq/Coq_ZArith_BinInt_Z_mul_le_mono_nonneg_l'#@#variant 'h4/thm/arithmetic/EXP_BASE_LEQ_MONO_IMP_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_sgn' 'h4/thm/extreal/extreal_abs_def_0'
0. 'coq/Coq_ZArith_BinInt_Z_add_succ_l' 'h4/thm/extreal/mul_lneg_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_le_mono_l' 'h4/thm/arithmetic/LESS_MONO_MULT_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_phi' 'h4/thm/pred_set/pair_to_num_inv_0'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_0_l' 'h4/thm/integer/TINT_ADD_LID_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_le_lteq' 'h4/thm/arithmetic/LESS_OR_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ldiff_ldiff_l' 'h4/thm/frac/FRAC_SUB_ADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_neq_succ_0' 'h4/thm/intto/BIT1_nz_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_le_incl' 'h4/thm/rat/RAT_LES_IMP_LEQ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_gt_cases' 'h4/thm/integer/INT_LET_TOTAL_'
0. 'coq/Coq_ZArith_BinInt_Z_add_cancel_l' 'h4/thm/realax/HREAL_EQ_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gt_lt_iff' 'h4/thm/rat/rat_gre_def_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_inj_wd' 'h4/thm/integer/INT_EQ_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_succ_diag_r' 'h4/thm/divides/INDEX_LESS_PRIMES_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_pos_cancel_r'#@#variant 'h4/thm/real/REAL_LT_RDIV_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_le_compat_l' 'h4/thm/realax/REAL_LT_IADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_1_r' 'h4/thm/HolSmt/r080_'
0. 'coq/Coq_Reals_RIneq_Rge_or_gt' 'h4/thm/real/REAL_LTE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_compare_eq_iff' 'h4/thm/quote/compare_index_equal_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_lt_mono_r' 'h4/thm/arithmetic/LT_ADD_RCANCEL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_le_compat_l' 'h4/thm/real/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_le_mono' 'h4/thm/numpair/tri_LT_I_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div_same'#@#variant 'h4/thm/integer/INT_DIV_ID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_nge' 'h4/thm/rat/RAT_LES_LEQ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_lt_mono_r' 'h4/thm/arithmetic/LESS_EQ_MONO_ADD_EQ_'
0. 'coq/Coq_NArith_Nnat_Nat2N_id' 'h4/thm/num/num_ISO_DEF_0'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_lt_mono_pos_r'#@#variant 'h4/thm/rat/RAT_LES_RMUL_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_le_iff' 'h4/thm/arithmetic/MIN_LT_0'
0. 'coq/Coq_NArith_BinNat_N_le_lteq' 'h4/thm/integral/LE_LT_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_total' 'h4/thm/hreal/HRAT_LT_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_le_mono' 'h4/thm/real/REAL_POS_MONO_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_divide_mono_l' 'h4/thm/real/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_opp_r' 'h4/thm/complex/COMPLEX_NEG_RDIV_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_lt_mono_r' 'h4/thm/arithmetic/LT_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_lt_mono_pos_r'#@#variant 'h4/thm/logroot/EXP_LE_ISO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_succ_r' 'h4/thm/float/LT_SUC_LE_'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_double'#@#variant 'h4/thm/util_prob/neg_lg_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div2_nonneg'#@#variant 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_le_mono_l' 'h4/thm/integer/INT_LT_LADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_succ_r' 'h4/thm/complex/COMPLEX_NEG_RMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div_pos'#@#variant 'h4/thm/arithmetic/ONE_LT_MULT_IMP_'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_ge' 'h4/thm/integer/INT_LT_CALCULATE_0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_nonneg' 'h4/thm/transc/ATN_BOUNDS_0'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_xO'#@#variant 'h4/thm/extreal/extreal_inv_def_e2'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_divide/0' 'h4/thm/real/REAL_MIN_LE1_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_inj_wd' 'h4/thm/integer/INT_EQ_CALCULATE_1'
0. 'coq/Coq_Reals_RIneq_INR_IZR_INZ' 'h4/thm/ieee/Fraction_'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_le' 'h4/thm/string/char_gt_def_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_lt_mono_nonneg'#@#variant 'h4/thm/real/REAL_LE_MUL2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_1_r' 'h4/thm/integer/INT_ADD_REDUCE_1'
0. 'coq/Coq_ZArith_BinInt_Z_opp_nonpos_nonneg'#@#variant 'h4/thm/integer/INT_NEG_LT0_'#@#variant
0. 'coq/Coq_Bool_Bool_negb_xorb_r' 'h4/thm/real/REAL_NEG_RMUL_'
0. 'coq/Coq_ZArith_Znumtheory_rel_prime_1'#@#variant 'h4/thm/divides/ONE_DIVIDES_ALL_'#@#variant
0. 'coq/Coq_Arith_Gt_gt_n_S' 'h4/thm/bit/TWOEXP_MONO_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sqrt_le_mono' 'h4/thm/bit/TWOEXP_MONO2_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_comm' 'h4/thm/hrat/TRAT_MUL_SYM_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_shuffle3' 'h4/thm/HolSmt/r220_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_nge' 'h4/thm/rat/RAT_LEQ_LES_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_cancel_l' 'h4/thm/hreal/HRAT_EQ_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_antisymm' 'h4/thm/divides/DIVIDES_ANTISYM_'
0. 'coq/Coq_Reals_Rminmax_R_minus_min_distr_l' 'h4/thm/arithmetic/EXP_ADD_'
0. 'coq/Coq_ZArith_Zorder_Zmult_gt_0_compat' 'h4/thm/rat/RAT_LES0_LES0_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_lt_iff' 'h4/thm/arithmetic/MAX_LT_0'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_sub_1_r' 'h4/thm/arithmetic/PRE_SUB1_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_divide' 'h4/thm/integer/int_lt_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lcm_1_l' 'h4/thm/extreal/sub_lzero_'
0. 'coq/Coq_Lists_List_length_zero_iff_nil' 'h4/thm/quantHeuristics/LENGTH_NIL_SYM_'
0. 'coq/Coq_Reals_Rfunctions_pow1' 'h4/thm/real/POW_ONE_'#@#variant
0. 'coq/Coq_fourier_Fourier_util_Rfourier_eqLR_to_le' 'h4/thm/hrat/TRAT_EQ_AP_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lcm_eq_0' 'h4/thm/intExtension/INT_NO_ZERODIV_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_sub_mask_nul_iff' 'h4/thm/quote/compare_index_equal_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_simpl_r' 'h4/thm/complex/COMPLEX_SUB_ADD_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_rem_1_r'#@#variant 'h4/thm/util_prob/logr_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_succ_r' 'h4/thm/arithmetic/ADD_SUC_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_ngt' 'h4/thm/real/REAL_NOT_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_pos_neg'#@#variant 'h4/thm/real/REAL_NEG_GT0_'#@#variant
0. 'coq/Coq_Numbers_Cyclic_DoubleCyclic_DoubleBase_wB_pos'#@#variant 'h4/thm/real/REAL_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_lt_mono_nonneg'#@#variant 'h4/thm/real/REAL_LE_MUL2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_add_lt_sub_r' 'h4/thm/integer/INT_LE_SUB_RADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_sub_r' 'h4/thm/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_lt_mono_pos_l'#@#variant 'h4/thm/integer/INT_LT_MONO_'#@#variant
0. 'coq/Coq_Strings_Ascii_ascii_N_embedding' 'h4/thm/frac/frac_tybij_0'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_sqrt' 'h4/thm/extreal/extreal_inv_def_e2'
0. 'coq/Coq_PArith_BinPos_Pos_lt_nle' 'h4/thm/integer/int_le_'
0. 'coq/Coq_ZArith_BinInt_Z_div_le_mono'#@#variant 'h4/thm/real/REAL_LE_RMUL_IMP_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_1_r' 'h4/thm/integer/INT_ADD_REDUCE_1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_1_l'#@#variant 'h4/thm/arithmetic/ZERO_MOD_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_succ_l' 'h4/thm/complex/COMPLEX_MUL_LNEG_'#@#variant
0. 'coq/Coq_Reals_ROrderedType_ROrder_TO_lt_total' 'h4/thm/arithmetic/LESS_LESS_CASES_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftl_opp_r' 'h4/thm/extreal/extreal_div_def_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_nonneg_nonneg' 'h4/thm/integer/INT_LT_MUL_'
0. 'coq/Coq_Reals_Raxioms_R1_neq_R0' 'h4/thm/ieee/ccode_distinct_1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_pos'#@#variant 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lor_diag' 'h4/thm/real/REAL_MIN_REFL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_1_l' 'h4/thm/real/REAL_DIV_LZERO_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_testbit_of_N' 'h4/thm/toto/charOrd_'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_double'#@#variant 'h4/thm/quote/index_size_def_0'#@#variant
0. 'coq/Coq_Reals_Ratan_atan_right_inv' 'h4/thm/transc/ATN_e2'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_0_r' 'h4/thm/arithmetic/DIV2_def_'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_iff' 'h4/thm/complex/COMPLEX_OF_REAL_EQ_'#@#variant
0. 'coq/Coq_Reals_Ratan_atan_right_inv' 'h4/thm/bit/LOG2_TWOEXP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_1_l' 'h4/thm/HolSmt/r129_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_max_lub' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_e2'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_neq' 'h4/thm/rat/RAT_LES_IMP_NEQ_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_glb' 'h4/thm/divides/DIVIDES_SUB_'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_lt_not_gt' 'h4/thm/hreal/HRAT_LT_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_nonneg_nonneg' 'h4/thm/arithmetic/LESS_MULT2_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_Zpos' 'h4/thm/extreal/extreal_le_def_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_divide_l' 'h4/thm/real/REAL_MIN_LE1_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_r' 'h4/thm/real/REAL_MAX_ALT_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pred_div2_up' 'h4/thm/rat/RAT_AINV_CALCULATE_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pow_le_mono_r_iff'#@#variant 'h4/thm/logroot/LT_EXP_ISO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_glb' 'h4/thm/divides/DIVIDES_SUB_'
0. 'coq/Coq_Lists_List_length_zero_iff_nil' 'h4/thm/quantHeuristics/LIST_LENGTH_5_71'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_le_mono_r_iff'#@#variant 'h4/thm/real/REAL_LE_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sub_succ' 'h4/thm/integer/INT_NEG_MUL2_'
0. 'coq/Coq_Lists_List_length_zero_iff_nil' 'h4/thm/quantHeuristics/LIST_LENGTH_4_56'
0. 'coq/Coq_ZArith_BinInt_Z_opp_pred' 'h4/thm/numeral/iDUB_removal_1'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_le_compat_r' 'h4/thm/integer/TINT_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_odd_sub' 'h4/thm/float/REAL_OF_NUM_SUB_'
0. 'coq/Coq_Reals_RIneq_Rlt_not_eq' 'h4/thm/hreal/HRAT_LT_NE_'
0. 'coq/Coq_Reals_Rtrigo1_PI4_RLT_PI2'#@#variant 'h4/thm/extreal/lt_infty_2'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftr_div_pow2'#@#variant 'h4/thm/integer/INT_SUB_CALCULATE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lcm_diag' 'h4/thm/arithmetic/MIN_IDEM_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_lt_mono_r_iff'#@#variant 'h4/thm/integer/INT_LT_MONO_'#@#variant
0. 'coq/Coq_MMaps_MMapWeakList_Some_iff' 'h4/thm/fcp/bit1_11_0'
0. 'coq/Coq_ZArith_BinInt_Z_shiftr_opp_r' 'h4/thm/frac/frac_div_def_'
0. 'coq/Coq_Reals_Rtrigo_calc_sqrt2_neq_0'#@#variant 'h4/thm/ieee/roundmode_distinct_3'
0. 'coq/Coq_FSets_FSetPositive_PositiveSet_E_bits_lt_antirefl' 'h4/thm/realax/REAL_LT_REFL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_double'#@#variant 'h4/thm/transc/LN_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_add_r'#@#variant 'h4/thm/util_prob/logr_div_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_add_r' 'h4/thm/realax/HREAL_LT_ADDL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_1_r' 'h4/thm/integer/INT_SUB_RZERO_'
0. 'coq/Coq_Arith_PeanoNat_Nat_div2_div'#@#variant 'h4/thm/arithmetic/ADD1_'#@#variant
0. 'coq/Coq_ZArith_Znat_Zabs_nat_N' 'h4/thm/complex/MODU_NUM_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rge_refl' 'h4/thm/arithmetic/LESS_EQ_REFL_'
0. 'coq/Coq_NArith_BinNat_N_add_succ_r' 'h4/thm/complex/COMPLEX_NEG_RDIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_cancel_l' 'h4/thm/hreal/HRAT_EQ_LADD_'
0. 'coq/Coq_Reals_RIneq_IZR_lt' 'h4/thm/realax/TREAL_ISO_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_mul_xO_r' 'h4/thm/complex/COMPLEX_NEG_RDIV_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_le_mono_pos_l'#@#variant 'h4/thm/transc/RPOW_LE_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_nonneg' 'h4/thm/prim_rec/LESS_0_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftl_1_l'#@#variant 'h4/thm/integer/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_1' 'h4/thm/integer/INT_NEG_0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_refl' 'h4/thm/poly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_succ_r' 'h4/thm/arithmetic/ADD_CLAUSES_e3'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_gt_lt_iff' 'h4/thm/integer/INT_GT_CALCULATE_'
0. 'coq/Coq_Bool_Bool_xorb_true_l' 'h4/thm/numeral/numeral_texp_help_0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sub_diag' 'h4/thm/arithmetic/ABS_DIFF_EQS_'
0. 'coq/Coq_NArith_BinNat_N_nle_gt' 'h4/thm/arithmetic/NOT_LESS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_factor_r' 'h4/thm/integer/INT_DIVIDES_MUL_e1'
0. 'coq/Coq_Reals_Rbasic_fun_Rle_abs' 'h4/thm/numpair/tri_le_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_le_max_r' 'h4/thm/integer/INT_DIVIDES_MUL_e1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_le_mono_l' 'h4/thm/real/REAL_LT_LADD_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_iff' 'h4/thm/integer/INT_QUOT_CALCULATE_2'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_ge_le_iff' 'h4/thm/string/string_gt_def_'#@#variant
0. 'coq/Coq_Reals_RIneq_cond_nonzero' 'h4/thm/extreal/extreal_distinct_e2'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_compare_succ_succ' 'h4/thm/toto/numeralOrd_5'
0. 'coq/Coq_QArith_QOrderedType_QOrder_le_eq' 'h4/thm/arithmetic/LESS_LESS_EQ_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_neq_succ_0' 'h4/thm/toto/num_dt_distinct_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_le_mono_nonneg'#@#variant 'h4/thm/real/REAL_LT_MUL2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_trichotomy' 'h4/thm/arithmetic/LESS_CASES_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_nlt_ge' 'h4/thm/arithmetic/NOT_LESS_'
0. 'coq/Coq_NArith_BinNat_N_ones_equiv'#@#variant 'h4/thm/numeral/numeral_suc_1'
0. 'coq/Coq_QArith_Qabs_Qabs_pos'#@#variant 'h4/thm/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Bool_Bool_diff_true_false' 'h4/thm/toto/all_cpn_distinct_tLL'
0. 'coq/Coq_Sets_Uniset_leb_refl' 'h4/thm/hrat/TRAT_EQ_REFL_'#@#variant
0. 'coq/Coq_Reals_Rtrigo_calc_sqrt2_neq_0'#@#variant 'h4/thm/extreal/extreal_distinct_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_nonneg' 'h4/thm/transc/ATN_BOUNDS_0'#@#variant
0. 'coq/Coq_MMaps_MMapPositive_PositiveMap_E_bits_lt_antirefl' 'h4/thm/string/string_lt_nonrefl_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_clearbit_spec_prime'#@#variant 'h4/thm/real/real_sub_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_glb_iff' 'h4/thm/integral/REAL_LT_MIN_'
0. 'coq/Coq_Reals_RIneq_Ropp_Ropp_IZR' 'h4/thm/rat/RAT_AINV_CALCULATE_'
0. 'coq/Coq_Bool_Bool_andb_negb_r' 'h4/thm/integer/INT_ADD_RINV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div2_succ_double' 'h4/thm/bit/LOG2_TWOEXP_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_le_mono' 'h4/thm/prim_rec/LESS_MONO_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_eq_cases' 'h4/thm/real/REAL_LE_LT_'
0. 'coq/Coq_ZArith_Zcomplements_Zlength_nil' 'h4/thm/patricia/SIZE_0'
0. 'coq/Coq_ZArith_BinInt_Z_square_spec' 'h4/thm/arithmetic/TIMES2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ge_le_iff' 'h4/thm/real/real_gt_'
0. 'coq/Coq_NArith_BinNat_N_pred_le_mono' 'h4/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_pred' 'h4/thm/numRing/num_rewrites_tLRLRRRRRR'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_le_mono' 'h4/thm/transc/EXP_MONO_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lnot_0_l' 'h4/thm/util_prob/lg_def_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_nonneg' 'h4/thm/transc/ATN_BOUNDS_0'#@#variant
0. 'coq/Coq_Init_Datatypes_CompOpp_involutive' 'h4/thm/integer/INT_ADD_REDUCE_3'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lcm_diag' 'h4/thm/real/REAL_MIN_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_compare_succ_succ' 'h4/thm/toto/numeralOrd_5'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_one_neq_zero' 'h4/thm/ieee/roundmode_distinct_e5'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_pos_cancel_l'#@#variant 'h4/thm/real/REAL_LT_LMUL_0_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_le_mono_r' 'h4/thm/integer/INT_LT_RADD_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_even' 'h4/thm/complex/MODU_NUM_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_lteq' 'h4/thm/real/REAL_LE_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_nonneg_nonpos'#@#variant 'h4/thm/integer/INT_NEG_GT0_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_le_mono_r' 'h4/thm/rat/RAT_LES_RADD_'
0. 'coq/Coq_ZArith_BinInt_Z_gt_lt_iff' 'h4/thm/integer/INT_GT_CALCULATE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lxor_eq_0_iff' 'h4/thm/integer/INT_SUB_0_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_le_refl' 'h4/thm/realax/TREAL_EQ_REFL_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_add_sub' 'h4/thm/complex/COMPLEX_SUB_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_nonneg_pos'#@#variant 'h4/thm/extreal/let_add_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_ldiff_diag' 'h4/thm/rat/RAT_SUB_ID_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_gt_cases' 'h4/thm/integer/INT_LTE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sub_add_distr' 'h4/thm/arithmetic/EXP_EXP_MULT_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_of_Qc_bis' 'h4/thm/frac/FRAC_DNMPOS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_odd_1' 'h4/thm/ieee/Plus_infinity_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_add_lt_sub_r' 'h4/thm/arithmetic/SUB_LEFT_GREATER_EQ_'
0. 'coq/Coq_Reals_Rbasic_fun_Rmin_pos' 'h4/thm/integer/INT_LT_MUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_add_diag_r' 'h4/thm/gcd/GCD_ADD_R_THM_e1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lnot_0_l' 'h4/thm/numeral/numeral_texp_help_0'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_lt' 'h4/thm/string/char_le_def_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_r' 'h4/thm/real/REAL_MIN_ALT_e1'
0. 'coq/Coq_Reals_R_Ifp_Int_part_INR' 'h4/thm/realax/real_of_hreal_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_succ_inj' 'h4/thm/divides/PRIMES_11_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_le_mono_r'#@#variant 'h4/thm/logroot/ROOT_LE_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftl_opp_r' 'h4/thm/complex/complex_sub_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_1' 'h4/thm/integerRing/int_calculate_e13'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_lt_mono' 'h4/thm/integerRing/int_rewrites_tLRRRLRRRR'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div_1_r' 'h4/thm/HolSmt/r080_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_le_mono_pos_r'#@#variant 'h4/thm/logroot/EXP_LE_ISO_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_negb_even' 'h4/thm/util_prob/lg_pow_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_lt_mono_nonneg'#@#variant 'h4/thm/integer/INT_LT_MUL2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_le_mono_l' 'h4/thm/realax/HREAL_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_diag'#@#variant 'h4/thm/numeral/iDUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_le_mono' 'h4/thm/transc/EXP_MONO_IMP_'
0. 'coq/Coq_NArith_Nnat_Nat2N_id' 'h4/thm/binary_ieee/num2float_compare_float_compare2num_'
0. 'coq/Coq_Reals_RIneq_IZR_le' 'h4/thm/realax/TREAL_ISO_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_square' 'h4/thm/extreal/extreal_abs_def_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_succ_le_mono' 'h4/thm/transc/EXP_MONO_LT_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_succ_not_1' 'h4/thm/num/ZERO_REP_DEF_'
0. 'coq/Coq_Reals_Rtrigo_calc_sin_lb_ge_0'#@#variant 'h4/thm/transc/TAN_POS_PI2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_le_compat_l' 'h4/thm/real/REAL_LE_LADD_IMP_'
0. 'coq/Coq_ZArith_Zorder_Zsucc_lt_compat' 'h4/thm/prim_rec/LESS_MONO_'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_pred' 'h4/thm/extreal/extreal_ainv_def_e2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_le_mono' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_PArith_BinPos_Pos_add_lt_mono_r' 'h4/thm/arithmetic/LESS_EQ_MONO_ADD_EQ_'
0. 'coq/Coq_QArith_QArith_base_Qplus_le_l' 'h4/thm/arithmetic/LE_ADD_RCANCEL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_sub' 'h4/thm/real/REAL_ADD_SUB_ALT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pred_le_mono' 'h4/thm/bit/TWOEXP_MONO2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_id' 'h4/thm/extreal/max_refl_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_ge_le_iff' 'h4/thm/integer/int_gt_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_move_0_r' 'h4/thm/integer/INT_SUB_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_l' 'h4/thm/integer/TINT_LT_ADD_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_nlt' 'h4/thm/rat/RAT_LEQ_LES_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_testbit_even_0'#@#variant 'h4/thm/quote/index_compare_def_3'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_succ_lt_mono' 'h4/thm/numeral/numeral_lt_3'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_factor_l' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div_1_r' 'h4/thm/integer/INT_ADD_REDUCE_1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_pos_r'#@#variant 'h4/thm/logroot/EXP_LT_ISO_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_le_mono' 'h4/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_ZArith_Znat_positive_N_Z' 'h4/thm/realax/hreal_of_real_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_opp' 'h4/thm/numeral_bit/iDUB_NUMERAL_'
0. 'coq/Coq_NArith_BinNat_N_divide_factor_l' 'h4/thm/arithmetic/LESS_EQ_ADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_lt_mono_l' 'h4/thm/integer/INT_LE_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sub_add_distr' 'h4/thm/frac/FRAC_SUB_ADD_'
0. 'coq/Coq_QArith_QArith_base_Qmult_comm' 'h4/thm/hrat/TRAT_ADD_SYM_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lcm_least' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_e2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_cancel_r' 'h4/thm/arithmetic/EQ_ADD_RCANCEL_'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_IsTO_le_lteq' 'h4/thm/arithmetic/LESS_OR_EQ_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_irrefl' 'h4/thm/hreal/HRAT_LT_REFL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_double_size_level' 'h4/thm/extreal/extreal_sqrt_def_0'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_eq_cases' 'h4/thm/string/string_le_def_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_lt_mono_pos_l'#@#variant 'h4/thm/arithmetic/EXP_BASE_LE_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_leb_le' 'h4/thm/quote/index_lt_def_'
0. 'coq/Coq_Arith_PeanoNat_Nat_compare_succ' 'h4/thm/quote/index_compare_def_5'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_l' 'h4/thm/arithmetic/LESS_MOD_'
0. 'coq/Coq_Reals_R_sqrt_sqrt_le_1_alt' 'h4/thm/prim_rec/LESS_MONO_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_0_l' 'h4/thm/arithmetic/ZERO_LESS_EQ_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_succ_le_mono' 'h4/thm/numeral/numeral_distrib_28'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pos_pred_succ' 'h4/thm/binary_ieee/float_compare_BIJ_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_nonneg_nonneg' 'h4/thm/binary_ieee/le2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_diag' 'h4/thm/arithmetic/TIMES2_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_max_lub_lt_iff' 'h4/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_ZArith_BinInt_Z_divide_refl' 'h4/thm/rat/RAT_LEQ_REF_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_lt_iff' 'h4/thm/arithmetic/MAX_LT_0'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_le_iff' 'h4/thm/arithmetic/MAX_LT_0'
0. 'coq/Coq_Arith_Max_max_l' 'h4/thm/real/REAL_MAX_ALT_e1'
0. 'coq/Coq_QArith_Qround_Qceiling_Z' 'h4/thm/integer/NUM_OF_INT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ldiff_land' 'h4/thm/integer/INT_SUB_RNEG_'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_iff' 'h4/thm/string/CHAR_EQ_THM_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lor_lnot_diag'#@#variant 'h4/thm/hreal/HRAT_MUL_RINV_'
0. 'coq/Coq_QArith_QArith_base_Qplus_inj_r' 'h4/thm/hreal/HRAT_LT_RMUL_'
0. 'coq/Coq_ZArith_BinInt_Z_opp_involutive' 'h4/thm/frac/FRAC_AINV_AINV_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_pos_pos' 'h4/thm/realax/REAL_LT_MUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_greatest' 'h4/thm/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_succ_le_mono' 'h4/thm/integerRing/int_rewrites_tRRRRRRLRRRR'
0. 'coq/Coq_ZArith_BinInt_Z_add_opp_diag_r' 'h4/thm/integer/INT_ADD_RINV_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_neg_xO'#@#variant 'h4/thm/complex/COMPLEX_OF_REAL_INV_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_div_small' 'h4/thm/arithmetic/LESS_DIV_EQ_ZERO_'
0. 'coq/Coq_Bool_Bool_andb_diag' 'h4/thm/real/REAL_MIN_REFL_'
0. 'coq/Coq_NArith_BinNat_N_sqrt_le_mono' 'h4/thm/transc/EXP_MONO_IMP_'
0. 'coq/Coq_ZArith_BinInt_Z_mod_same' 'h4/thm/integer/INT_REM_ID_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_log2_nonneg' 'h4/thm/prim_rec/LESS_0_'
0. 'coq/Coq_ZArith_BinInt_Z_log2_lor'#@#variant 'h4/thm/transc/LN_DIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_asymm' 'h4/thm/real/REAL_LT_ANTISYM_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_le' 'h4/thm/string/char_le_def_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_opp_r' 'h4/thm/integer/INT_MUL_CALCULATE_2'
0. 'coq/Coq_NArith_BinNat_N_mod_1_r'#@#variant 'h4/thm/numeral/numeral_exp_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sub_min_distr_l' 'h4/thm/transc/RPOW_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_0_sub'#@#variant 'h4/thm/arithmetic/SUB_LESS_0_'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_succ' 'h4/thm/complex/COMPLEX_OF_REAL_INV_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_nonneg'#@#variant 'h4/thm/real/REAL_LT_MUL2_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_min_glb_lt_iff' 'h4/thm/integral/REAL_LT_MIN_'
0. 'coq/Coq_Arith_PeanoNat_Nat_eq_add_0' 'h4/thm/arithmetic/ADD_EQ_0_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_pos_l'#@#variant 'h4/thm/integer/INT_LT_MONO_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_log2_up_le_mono' 'h4/thm/real/REAL_POS_MONO_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_land_diag' 'h4/thm/gcd/GCD_REF_'
0. 'coq/Coq_PArith_BinPos_Pos_add_le_mono_r' 'h4/thm/arithmetic/LE_ADD_RCANCEL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lcm_diag' 'h4/thm/arithmetic/MAX_IDEM_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_negb_odd' 'h4/thm/util_prob/lg_pow_'#@#variant
0. 'coq/Coq_PArith_Pnat_SuccNat2Pos_inj_iff' 'h4/thm/prelim/ordering_EQ_ordering_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lcm_1_r' 'h4/thm/rat/RAT_SUB_RID_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_irrefl' 'h4/thm/realax/HREAL_LT_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_succ_diag_r' 'h4/thm/prim_rec/LESS_SUC_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_pos_cancel_r'#@#variant 'h4/thm/real/REAL_LT_RMUL_0_'#@#variant
0. 'coq/Coq_Lists_List_rev_length' 'h4/thm/list/LENGTH_REVERSE_'
0. 'coq/Coq_QArith_QArith_base_Qplus_lt_l' 'h4/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lor_diag' 'h4/thm/gcd/GCD_REF_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_le_compat_r' 'h4/thm/hrat/TRAT_MUL_WELLDEFINED_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_succ_diag_r' 'h4/thm/prim_rec/LESS_SUC_SUC_0'
0. 'coq/Coq_QArith_QArith_base_Qlt_le_weak' 'h4/thm/integer/INT_LT_IMP_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_lt_mono' 'h4/thm/numeral/numeral_lt_3'
0. 'coq/Coq_NArith_BinNat_N_nle_gt' 'h4/thm/real/REAL_NOT_LT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_diag' 'h4/thm/arithmetic/ABS_DIFF_EQS_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_pos_l'#@#variant 'h4/thm/logroot/LT_EXP_ISO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_opp_opp' 'h4/thm/arithmetic/SUB_MONO_EQ_'
0. 'coq/Coq_ZArith_BinInt_Z_pow_1_r' 'h4/thm/HolSmt/r214_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_w6_spec' 'h4/thm/integerRing/int_ring_thms_0'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_1' 'h4/thm/real/ABS_0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_nonneg_nonneg' 'h4/thm/integer/TINT_LT_MUL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_negb_even' 'h4/thm/integerRing/int_ring_thms_e17'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_clearbit_spec_prime'#@#variant 'h4/thm/frac/frac_sub_def_'
0. 'coq/Coq_Arith_Wf_nat_well_founded_ltof' 'h4/thm/arithmetic/transitive_measure_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_refl' 'h4/thm/divides/DIVIDES_REFL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_divide_cancel_r' 'h4/thm/int_arith/INT_DIVIDES_LRMUL_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_l' 'h4/thm/real/REAL_MIN_ALT_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div_1_r' 'h4/thm/integer/INT_SUB_RZERO_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_pred_succ' 'h4/thm/transc/ATN_TAN_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_ge_le_iff' 'h4/thm/pred_set/COUNT_applied_'
0. 'coq/Coq_ZArith_BinInt_Z_mod_1_l'#@#variant 'h4/thm/arithmetic/ZERO_MOD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mod_0_l' 'h4/thm/integer/INT_DIV_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_min_l' 'h4/thm/real/REAL_MIN_LE1_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lxor_eq_0_iff' 'h4/thm/rat/RAT_EQ_SUB0_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_refl' 'h4/thm/divides/DIVIDES_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_eqb_eq' 'h4/thm/quote/compare_index_equal_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_gt' 'h4/thm/string/char_ge_def_'
0. 'coq/Coq_QArith_QArith_base_Qnot_le_lt' 'h4/thm/arithmetic/LESS_CASES_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_add_pos_l'#@#variant 'h4/thm/arithmetic/X_LT_EXP_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_move_r' 'h4/thm/integer/INT_EQ_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_lt_mono_pos_l'#@#variant 'h4/thm/arithmetic/EXP_BASE_LT_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_succ_lt_mono' 'h4/thm/numeral/numeral_lte_e6'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_diag' 'h4/thm/real/REAL_DOUBLE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_succ_le_mono' 'h4/thm/transc/EXP_MONO_LT_'
0. 'coq/Coq_Sets_Uniset_leb_refl' 'h4/thm/integer/INT_LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_0_r'#@#variant 'h4/thm/arithmetic/MOD_1_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_opp_r' 'h4/thm/HolSmt/r224_'#@#variant
0. 'coq/Coq_Arith_Lt_lt_S_n' 'h4/thm/arithmetic/LESS_MONO_REV_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_cancel_r' 'h4/thm/rat/RAT_EQ_RADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lxor_eq_0_iff' 'h4/thm/real/REAL_SUB_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_sub_le_add_r' 'h4/thm/real/REAL_LT_SUB_LADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_sgn' 'h4/thm/integer/INT_ABS_ABS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_lt_mono_r_iff' 'h4/thm/int_arith/lt_justify_multiplication_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_le_mono' 'h4/thm/numpair/tri_LT_I_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_double'#@#variant 'h4/thm/transc/LN_INV_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_even_1' 'h4/thm/ieee/Plus_infinity_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_mod' 'h4/thm/integer/INT_MOD_SUB_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_eq_mul_1'#@#variant 'h4/thm/arithmetic/MULT_EQ_1_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_1_r' 'h4/thm/real/REAL_ADD_RID_'
0. 'coq/Coq_ZArith_Zpow_facts_Zpower_mod'#@#variant 'h4/thm/bit/MOD_PLUS_LEFT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lxor_lnot_lnot' 'h4/thm/integer/INT_NEG_MUL2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftl_1_l'#@#variant 'h4/thm/rat/RAT_SUB_LID_'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_minus_one_neq_zero'#@#variant 'h4/thm/realax/REAL_10_'
0. 'coq/Coq_ZArith_Zeven_Zodd_not_Zeven' 'h4/thm/float/FLOAT_DISTINCT_e9'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_nlt' 'h4/thm/real/real_lt_'
0. 'coq/Coq_Reals_R_sqr_Rsqr_abs' 'h4/thm/real/ABS_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_neq_succ_0' 'h4/thm/quote/index_distinct_1'
0. 'coq/Coq_ZArith_Znat_N2Z_id' 'h4/thm/num/num_ISO_DEF_0'
0. 'coq/Coq_QArith_Qminmax_Q_min_le_compat_l' 'h4/thm/integer/INT_LT_LADD_IMP_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_cancel_r' 'h4/thm/hreal/HRAT_LT_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_r' 'h4/thm/hrat/TRAT_MUL_WELLDEFINED_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_setbit_spec_prime'#@#variant 'h4/thm/frac/frac_div_def_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_succ_not_1' 'h4/thm/num/ZERO_REP_DEF_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lor_nonneg'#@#variant 'h4/thm/arithmetic/ZERO_LESS_MULT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_id' 'h4/thm/gcd/GCD_REF_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_le_mono' 'h4/thm/bit/TWOEXP_MONO2_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_eq_le_incl' 'h4/thm/realax/TREAL_EQ_AP_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_add_distr' 'h4/thm/logroot/EXP_MUL_'
0. 'coq/Coq_ZArith_BinInt_Z_quot_mul' 'h4/thm/real/REAL_DIV_RMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftl_mul_pow2'#@#variant 'h4/thm/complex/COMPLEX_SUB_RNEG_'#@#variant
0. 'coq/Coq_Bool_Bool_orb_true_iff' 'h4/thm/rat/RAT_NO_ZERODIV_'#@#variant
0. 'coq/Coq_Bool_Bool_negb_orb' 'h4/thm/transc/EXP_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_involutive' 'h4/thm/integer/INT_MOD_CALCULATE_2'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_0_l' 'h4/thm/realax/TREAL_ADD_LID_'#@#variant
0. 'coq/Coq_Reals_SeqProp_CV_mult' 'h4/thm/seq/SEQ_MUL_'
0. 'coq/Coq_ZArith_BinInt_Z_pred_succ' 'h4/thm/numeral_bit/NUMERAL_iDIV2_2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_le_mono' 'h4/thm/arithmetic/LESS_EQ_MONO_'
0. 'coq/Coq_PArith_BinPos_Pos_succ_not_1' 'h4/thm/toto/num_dt_distinct_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_nonneg' 'h4/thm/transc/ATN_BOUNDS_0'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_sub_le_mono_r' 'h4/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_shuffle3' 'h4/thm/HolSmt/r220_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_max_l' 'h4/thm/integer/INT_DIVIDES_MUL_0'
0. 'coq/Coq_Arith_PeanoNat_Nat_max_lub_iff' 'h4/thm/util_prob/MAX_LE_X_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_nonneg' 'h4/thm/transc/ATN_BOUNDS_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_rem_1_l'#@#variant 'h4/thm/arithmetic/ZERO_DIV_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_sin_ge_0'#@#variant 'h4/thm/transc/SIN_POS_PI2_LE_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sub_0_l' 'h4/thm/numeral/texp_help_def_0'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_digits/0'#@#variant 'h4/thm/extreal/lt_infty_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_antisymm' 'h4/thm/divides/DIVIDES_ANTISYM_'
0. 'coq/Coq_ZArith_Zorder_Zgt_irrefl' 'h4/thm/realax/HREAL_LT_REFL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_w3_spec' 'h4/thm/integerRing/int_is_ring_'#@#variant
0. 'coq/Coq_Reals_Rtrigo_def_cosn_no_R0' 'h4/thm/extreal/extreal_not_infty_e1'
0. 'coq/Coq_ZArith_BinInt_Z_lt_irrefl' 'h4/thm/realax/TREAL_LT_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_succ_diag_r' 'h4/thm/prim_rec/LESS_SUC_REFL_'
0. 'coq/Coq_ZArith_BinInt_Zpred_succ' 'h4/thm/transc/ATN_TAN_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_rem_mul' 'h4/thm/integer/INT_REM_COMMON_FACTOR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_lcm_l' 'h4/thm/arithmetic/LESS_EQ_ADD_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_mod' 'h4/thm/integer/INT_DIV_CALCULATE_0'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_le_min_r' 'h4/thm/real/REAL_MIN_LE2_'
0. 'coq/Coq_Reals_Rminmax_R_le_max_r' 'h4/thm/hreal/HRAT_LT_ADDR_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_ge_cases' 'h4/thm/real/REAL_LE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_double'#@#variant 'h4/thm/util_prob/neg_lg_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_id' 'h4/thm/prelim/num2ordering_ordering2num_'
0. 'coq/Coq_PArith_BinPos_Pos_lt_succ_diag_r' 'h4/thm/prim_rec/LESS_SUC_SUC_0'
0. 'coq/Coq_ZArith_BinInt_Z_log2_le_mono' 'h4/thm/numpair/tri_LT_I_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_sub_distr' 'h4/thm/complex/COMPLEX_SUB_LNEG_'#@#variant
0. 'coq/Coq_NArith_Ndigits_Ptestbit_Pbit' 'h4/thm/integerRing/int_ring_thms_1'#@#variant
0. 'coq/Coq_QArith_Qminmax_Q_min_lt_iff' 'h4/thm/real/REAL_MIN_LE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_0_l' 'h4/thm/integer/INT_DIVIDES_1_0'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_ge' 'h4/thm/string/char_ge_def_'
0. 'coq/Coq_ZArith_Zquot_Z_quot_monotone'#@#variant 'h4/thm/real/REAL_LT_RMUL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_cancel_l' 'h4/thm/real/REAL_EQ_LADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_succ_lt_mono' 'h4/thm/transc/EXP_MONO_LT_'
0. 'coq/Coq_NArith_Ndist_ni_min_idemp' 'h4/thm/real/REAL_MAX_REFL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lcm_least' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_e2'
0. 'coq/Coq_ZArith_BinInt_Z_quot_1_r' 'h4/thm/real/REAL_ADD_RID_'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_succ' 'h4/thm/toto/num_dt_size_def_e2'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_cancel_r' 'h4/thm/arithmetic/EQ_ADD_RCANCEL_'
0. 'coq/Coq_Strings_Ascii_ascii_N_embedding' 'h4/thm/ieee/num2roundmode_roundmode2num_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_divide_l' 'h4/thm/real/REAL_MIN_LE1_'
0. 'coq/Coq_NArith_BinNat_N_div2_double' 'h4/thm/numeral_bit/NUMERAL_iDIV2_2'
0. 'coq/Coq_Bool_Bool_xorb_true_l' 'h4/thm/HolSmt/r221_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_negb_odd' 'h4/thm/numRing/num_ring_thms_e17'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pos_pred_succ' 'h4/thm/binary_ieee/num2float_compare_float_compare2num_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_neq_succ_0' 'h4/thm/quote/index_distinct_e2'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_neq' 'h4/thm/prim_rec/NOT_LESS_EQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_id' 'h4/thm/real/REAL_MAX_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_0_discr' 'h4/thm/toto/num_dt_distinct_1'
0. 'coq/Coq_NArith_BinNat_N_lt_1_mul_pos'#@#variant 'h4/thm/util_prob/REAL_LE_LT_MUL_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_clearbit_spec_prime'#@#variant 'h4/thm/integer/INT_SUB_CALCULATE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_div2_double'#@#variant 'h4/thm/string/IMPLODE_EXPLODE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sub_le_mono_l' 'h4/thm/extreal/le_lsub_imp_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_divide_xO_xO' 'h4/thm/integerRing/int_rewrites_tLRRRRLRRR'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_involutive' 'h4/thm/integer/INT_REM_CALCULATE_2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ge_le_iff' 'h4/thm/rat/rat_geq_def_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_id' 'h4/thm/string/CHR_ORD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pow_le_mono_r_iff'#@#variant 'h4/thm/rat/RAT_LES_LMUL_POS_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qplus_lt_le_compat' 'h4/thm/integer/INT_LTE_ADD2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_le_mono_pos_l'#@#variant 'h4/thm/rat/RAT_LES_LMUL_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_le_mono_r' 'h4/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_NArith_BinNat_N_min_le_compat_r' 'h4/thm/integer/TINT_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftl_opp_r' 'h4/thm/complex/complex_div_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_succ_r' 'h4/thm/integer/INT_MUL_CALCULATE_2'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_eq_0' 'h4/thm/arithmetic/MULT_EQ_0_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_le_mono' 'h4/thm/real/REAL_POS_MONO_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_le_mono_r' 'h4/thm/hreal/HRAT_LT_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_trichotomy' 'h4/thm/realax/REAL_LT_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_eq_add_0' 'h4/thm/arithmetic/ADD_EQ_0_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_eq_cases' 'h4/thm/arithmetic/LESS_OR_EQ_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sub_succ' 'h4/thm/complex/COMPLEX_NEG_DIV2_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_add_r' 'h4/thm/divides/DIVIDES_SUB_'
0. 'coq/Coq_NArith_BinNat_N_le_lt_trans' 'h4/thm/real/REAL_LET_TRANS_'
0. 'coq/Coq_ZArith_BinInt_Z_rem_same' 'h4/thm/integer/INT_REM_ID_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_opp_l' 'h4/thm/real/REAL_MUL_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_negb_odd' 'h4/thm/ratRing/rat_ring_thms_e17'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_le_pred' 'h4/thm/float/LT_SUC_LE_'
0. 'coq/Coq_QArith_Qcanon_Qclt_not_le' 'h4/thm/arithmetic/LESS_EQ_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_add_r' 'h4/thm/hreal/HRAT_LT_ADDL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_le_mono' 'h4/thm/integerRing/int_rewrites_tLRRRRLRRR'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_lor' 'h4/thm/complex/COMPLEX_EXP_ADD_'#@#variant
0. 'coq/Coq_MMaps_MMapPositive_PositiveMap_add_spec1' 'h4/thm/sptree/lookup_insert1_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_inj_wd' 'h4/thm/toto/num_dt_11_e1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_1_mul_pos'#@#variant 'h4/thm/extreal/let_mul_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_add_lt_sub_r' 'h4/thm/real/REAL_LT_SUB_RADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_eq_0_l' 'h4/thm/transc/RPOW_NZ_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_succ_inj_wd' 'h4/thm/integral/EQ_SUC_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_lt_mono_r' 'h4/thm/integer/INT_LE_RADD_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_cancel_l' 'h4/thm/integer/INT_EQ_LMUL2_'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_succ' 'h4/thm/extreal/extreal_inv_def_e2'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_irrefl' 'h4/thm/string/string_lt_nonrefl_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_diag'#@#variant 'h4/thm/HolSmt/r216_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_clearbit_spec_prime'#@#variant 'h4/thm/real/real_sub_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_max_l' 'h4/thm/realax/HREAL_LT_ADDL_'
0. 'coq/Coq_ZArith_Znat_Z_nat_N' 'h4/thm/hrat/hrat_sucint_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftr_div_pow2'#@#variant 'h4/thm/rat/RAT_SUB_ADDAINV_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_le_mono_r' 'h4/thm/integer/INT_LE_RADD_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_iff' 'h4/thm/integer/INT_EQ_CALCULATE_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_le_mono' 'h4/thm/bit/TWOEXP_MONO_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_1_l' 'h4/thm/rat/RAT_ADD_LID_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_lt_le_mono' 'h4/thm/integer/INT_LTE_ADD2_'
0. 'coq/Coq_omega_OmegaLemmas_Zred_factor0' 'h4/thm/rat/RAT_ADD_RID_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_phi' 'h4/thm/toto/cpn_BIJ_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lcm_eq_0' 'h4/thm/intExtension/INT_NO_ZERODIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_lt_mono' 'h4/thm/numeral/numeral_distrib_28'
0. 'coq/Coq_ZArith_Znat_N2Z_id' 'h4/thm/rat/RAT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_le_mono' 'h4/thm/numpair/tri_LT_I_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_lxor_r' 'h4/thm/extreal/mul_rneg_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_opp_r' 'h4/thm/real/REAL_MUL_RNEG_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_negb_odd' 'h4/thm/numRing/num_ring_thms_e17'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_total' 'h4/thm/arithmetic/LESS_LESS_CASES_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_neg_iff' 'h4/thm/rat/RAT_EQ_NUM_CALCULATE_0'
0. 'coq/Coq_PArith_Pnat_SuccNat2Pos_inj_iff' 'h4/thm/DeepSyntax/deep_form_11_4'
0. 'coq/Coq_ZArith_BinInt_Zminus_succ_l' 'h4/thm/arithmetic/ADD_CLAUSES_2'
0. 'coq/Coq_Reals_Rtrigo_calc_deg_rad' 'h4/thm/numRing/num_rewrites_tLLRRRR'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lnot_involutive' 'h4/thm/integer/INT_MUL_CALCULATE_e3'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_pos_nonneg'#@#variant 'h4/thm/integer/INT_LTE_ADD_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_negb_even' 'h4/thm/integerRing/int_ring_thms_e17'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_le_compat_l' 'h4/thm/extreal/le_ladd_imp_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_odd_1' 'h4/thm/rat/rat_of_num_def_compute_1'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_pred_double_succ' 'h4/thm/numRing/num_rewrites_tLRLRR'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div_0_l' 'h4/thm/integer/INT_QUOT_0_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_glb_iff' 'h4/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_eq_mul_0' 'h4/thm/real/REAL_ENTIRE_'#@#variant
0. 'coq/Coq_Reals_RIneq_Req_ge' 'h4/thm/realax/TREAL_EQ_AP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_cancel_r' 'h4/thm/arithmetic/EQ_ADD_RCANCEL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_sub_le_add_l' 'h4/thm/arithmetic/SUB_RIGHT_GREATER_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_opp_r' 'h4/thm/complex/COMPLEX_NEG_RMUL_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_add_1_l' 'h4/thm/HolSmt/r128_'#@#variant
0. 'coq/Coq_Numbers_Cyclic_DoubleCyclic_DoubleBase_lt_0_wB'#@#variant 'h4/thm/extreal/le_num_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_abs_nonneg' 'h4/thm/arithmetic/FACT_LESS_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_add_lt_sub_r' 'h4/thm/integer/INT_LE_SUB_RADD_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_iff' 'h4/thm/binary_ieee/float_value_11_'
0. 'coq/Coq_QArith_QArith_base_Qeq_refl' 'h4/thm/integer/INT_DIVIDES_REFL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_1' 'h4/thm/transc/TAN_0_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_gt' 'h4/thm/string/char_gt_def_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_succ_lt_mono' 'h4/thm/integerRing/int_rewrites_tLRRRLRRR'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_nonneg_nonneg' 'h4/thm/integer/INT_LT_MUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_asymm' 'h4/thm/extreal/lt_antisym_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_involutive' 'h4/thm/complex/COMPLEX_INV_INV_'#@#variant
0. 'coq/Coq_NArith_Ndist_ni_le_min_1' 'h4/thm/arithmetic/SUB_LESS_EQ_'
0. 'coq/Coq_NArith_BinNat_N_lcm_1_r' 'h4/thm/real/REAL_ADD_RID_'
0. 'coq/Coq_Reals_SeqProp_CV_mult' 'h4/thm/seq/SEQ_SUB_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_succ_inj_wd' 'h4/thm/integerRing/int_rewrites_tLRRRRLRRR'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_lt_mono_nonneg'#@#variant 'h4/thm/integer/INT_LT_MUL2_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_even_opp' 'h4/thm/complex/MODU_CONJ_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_shiftl_1_l'#@#variant 'h4/thm/util_prob/lg_def_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_cancel_l' 'h4/thm/rat/RAT_EQ_LMUL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_pred_le_mono' 'h4/thm/arithmetic/LESS_EQ_MONO_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_nge' 'h4/thm/rat/RAT_LEQ_LES_'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_empty_1' 'h4/thm/list/NULL_0'
0. 'coq/Coq_PArith_BinPos_Pos_pred_succ' 'h4/thm/numpair/invtri_linverse_'
0. 'coq/Coq_PArith_BinPos_Pos_ge_le_iff' 'h4/thm/arithmetic/GREATER_DEF_'
0. 'coq/Coq_Reals_RIneq_Rle_lt_trans' 'h4/thm/arithmetic/LESS_EQ_LESS_TRANS_'
0. 'coq/Coq_Reals_RIneq_Ropp_div' 'h4/thm/integer/INT_NEG_LMUL_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_l2i_i2l'#@#variant 'h4/thm/ASCIInumbers/toNum_toString_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_1_r' 'h4/thm/HolSmt/r214_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_of_Qc_bis' 'h4/thm/binary_ieee/zero_lt_twopow_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_irrefl' 'h4/thm/realax/REAL_LT_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_lnot_land' 'h4/thm/transc/EXP_SUB_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_gcd_greatest' 'h4/thm/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_sub_lt_add_r' 'h4/thm/integer/INT_LE_SUB_LADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_sub_le_add_r' 'h4/thm/integer/INT_LT_ADD_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_eq'#@#variant 'h4/thm/intExtension/INT_ABS_CALCULATE_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_neg_pos'#@#variant 'h4/thm/numeral/numeral_distrib_24'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pos_pred_succ' 'h4/thm/toto/cpn_BIJ_0'
0. 'coq/Coq_Lists_List_length_zero_iff_nil' 'h4/thm/list/LENGTH_EQ_NUM_compute_0'
0. 'coq/Coq_ZArith_BinInt_Z_log2_lt_lin'#@#variant 'h4/thm/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_ge_le_iff' 'h4/thm/real/real_ge_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div_1_r' 'h4/thm/real/REAL_ADD_RID_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_eq_cases' 'h4/thm/rat/rat_leq_def_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_rem_1_l'#@#variant 'h4/thm/arithmetic/ONE_MOD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_le_mono' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_NArith_BinNat_N_succ_lt_mono' 'h4/thm/numeral/numeral_lt_4'
0. 'coq/Coq_ZArith_BinInt_Z_le_ngt' 'h4/thm/arithmetic/NOT_LESS_EQUAL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sub_add_distr' 'h4/thm/arithmetic/EXP_EXP_MULT_'
0. 'coq/Coq_PArith_BinPos_Pplus_one_succ_l' 'h4/thm/integer/INT_SUB_REDUCE_1'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_1_r' 'h4/thm/extreal/sub_rzero_'
0. 'coq/Coq_Arith_Compare_dec_not_eq' 'h4/thm/integer/INT_LT_TOTAL_'
0. 'coq/Coq_PArith_BinPos_Pos_compare_succ_succ' 'h4/thm/toto/num_dtOrd_7'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lcm_1_r' 'h4/thm/integer/INT_SUB_RZERO_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_id' 'h4/thm/real/REAL_MAX_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_lt_iff' 'h4/thm/arithmetic/MIN_LT_0'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_nlt' 'h4/thm/real/real_lte_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_iff' 'h4/thm/ieee/ccode_EQ_ccode_'
0. 'coq/Coq_ZArith_BinInt_Z_gcd_diag' 'h4/thm/numeral/iDUB_'
0. 'coq/Coq_ZArith_BinInt_Z_add_le_mono_l' 'h4/thm/real/REAL_LT_LADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_pow' 'h4/thm/rat/RAT_AINV_LMUL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ldiff_m1_r'#@#variant 'h4/thm/numeral/numeral_exp_0'#@#variant
0. 'coq/Coq_ZArith_Zquot_Z_rem_same' 'h4/thm/integer/INT_SUB_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_Zpos' 'h4/thm/realax/real_lt_'#@#variant
0. 'coq/Coq_ZArith_Zquot_Zquot_opp_opp' 'h4/thm/extreal/neg_mul2_'
0. 'coq/Coq_Reals_Rtrigo_calc_Rlt_sqrt3_0'#@#variant 'h4/thm/extreal/half_between_tLL'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_1' 'h4/thm/transc/SQRT_0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_neg'#@#variant 'h4/thm/integer/INT_NEG_LE0_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lcm_1_l' 'h4/thm/integer/INT_ADD_REDUCE_0'
0. 'coq/Coq_ZArith_Zeven_Zeven_not_Zodd' 'h4/thm/float/FLOAT_DISTINCT_FINITE_1'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_1_r' 'h4/thm/extreal/add_rzero_'
0. 'coq/Coq_Reals_Ratan_ps_atan_opp' 'h4/thm/transc/SIN_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_le_succ_r' 'h4/thm/prim_rec/LESS_SUC_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_r' 'h4/thm/arithmetic/LESS_MONO_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_nlt_ge' 'h4/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_add_lt_sub_r' 'h4/thm/integer/INT_LT_SUB_RADD_'
0. 'coq/Coq_PArith_BinPos_Pos_mul_lt_mono_l' 'h4/thm/real/REAL_LE_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_cancel_r' 'h4/thm/arithmetic/EQ_ADD_RCANCEL_'
0. 'coq/Coq_QArith_Qcanon_Q_apart_0_1'#@#variant 'h4/thm/toto/cpn_distinct_e2'
0. 'coq/Coq_ZArith_Znat_Zabs2N_inj_pos' 'h4/thm/rat/rat_nmr_def_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_0_mul_prime'#@#variant 'h4/thm/arithmetic/ZERO_LESS_MULT_'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_ge_le_iff' 'h4/thm/real/real_gt_'
0. 'coq/Coq_Sets_Uniset_leb_refl' 'h4/thm/integer/TINT_EQ_REFL_'#@#variant
0. 'coq/Coq_ZArith_Znat_Zabs2N_inj_lt'#@#variant 'h4/thm/float/FLOAT_GT_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_digits/0'#@#variant 'h4/thm/binary_ieee/zero_le_twopow_'#@#variant
0. 'coq/Coq_setoid_ring_BinList_jump_tl' 'h4/thm/sptree/delete_mk_wf_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_inj_wd' 'h4/thm/numeral/numeral_eq_e7'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_eq_0_gt_0_cases'#@#variant 'h4/thm/arithmetic/LESS_0_CASES_'#@#variant
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_E_bits_lt_antirefl' 'h4/thm/real/REAL_LT_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_eq_cases' 'h4/thm/string/string_le_def_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_xI_succ_xO' 'h4/thm/numeral_bit/NUMERAL_iDIV2_4'
0. 'coq/Coq_PArith_Pnat_SuccNat2Pos_inj_iff' 'h4/thm/string/ORD_11_'
0. 'coq/Coq_NArith_BinNat_N_max_id' 'h4/thm/real/REAL_MIN_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_succ_r' 'h4/thm/arithmetic/MULT_SUC_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_gt_lt_iff' 'h4/thm/string/string_ge_def_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_lt_mono_l' 'h4/thm/integer/INT_LT_LADD_'
0. 'coq/Coq_PArith_BinPos_Pos_add_1_r' 'h4/thm/arithmetic/DIV2_def_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_id' 'h4/thm/real/REAL_MIN_REFL_'
0. 'coq/Coq_NArith_BinNat_N_min_le_iff' 'h4/thm/real/REAL_MIN_LE_'
0. 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_le_lt_iff' 'h4/thm/integer/INT_NOT_LT_'
0. 'coq/Coq_ZArith_Zorder_Zgt_asym' 'h4/thm/string/string_lt_antisym_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_opp' 'h4/thm/DeepSyntax/neginf_def_2'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_succ_inj_wd' 'h4/thm/numpair/tri_11_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_ge' 'h4/thm/string/char_gt_def_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_lt_mono_r' 'h4/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_l' 'h4/thm/integer/TINT_LT_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_pos_nonneg'#@#variant 'h4/thm/extreal/lte_add_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_neq' 'h4/thm/hreal/HRAT_LT_NE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftl_mul_pow2'#@#variant 'h4/thm/real/real_sub_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_succ_le_mono' 'h4/thm/numeral/numeral_lt_3'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_nonneg' 'h4/thm/divides/ZERO_LT_PRIMES_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_add_diag_r' 'h4/thm/integer/INT_DIVIDES_MUL_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_greatest' 'h4/thm/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Arith_Div2_div2_double'#@#variant 'h4/thm/numpair/invtri_linverse_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_le_compat_r' 'h4/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_opp_norm' 'h4/thm/transc/SQRT_POS_LE_'#@#variant
0. 'coq/Coq_Bool_Bool_diff_true_false' 'h4/thm/toto/all_cpn_distinct_e3'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftr_opp_r' 'h4/thm/integer/INT_SUB_RNEG_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ldiff_ldiff_l' 'h4/thm/arithmetic/SUB_PLUS_'
0. 'coq/Coq_Arith_Plus_lt_plus_trans' 'h4/thm/arithmetic/LESS_IMP_LESS_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_involutive' 'h4/thm/real/REAL_INV_INV_'
0. 'coq/Coq_ZArith_Znat_Zabs2Nat_id' 'h4/thm/ASCIInumbers/toString_toNum_cancel_'#@#variant
0. 'coq/Coq_Sorting_Permutation_Permutation_refl' 'h4/thm/sorting/PERM_SINGLE_SWAP_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_0_succ' 'h4/thm/transc/ATN_BOUNDS_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_lt_mono_r_iff'#@#variant 'h4/thm/logroot/LE_EXP_ISO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sub_le_mono_r' 'h4/thm/arithmetic/LESS_MONO_ADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_pos_l'#@#variant 'h4/thm/int_arith/lt_justify_multiplication_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_land_lnot_diag' 'h4/thm/integer/INT_ADD_RINV_'#@#variant
0. 'coq/Coq_Bool_Bool_diff_true_false' 'h4/thm/binary_ieee/float_value_distinct_e2'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_nlt_ge' 'h4/thm/HolSmt/r096_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_neq_0_succ' 'h4/thm/toto/num_dt_distinct_0'
0. 'coq/Coq_NArith_BinNat_N_sqrt_1' 'h4/thm/integer/INT_ADD_REDUCE_2'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_1_l'#@#variant 'h4/thm/HolSmt/r128_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gt_lt_iff' 'h4/thm/integer/INT_GE_CALCULATE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_testbit_even_0'#@#variant 'h4/thm/toto/num_dtOrd_4'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_ge_cases' 'h4/thm/real/REAL_LET_TOTAL_'
0. 'coq/Coq_Reals_Rpower_arcsinh_lt' 'h4/thm/bit/TWOEXP_MONO_'#@#variant
0. 'coq/Coq_Reals_ROrderedType_ROrder_lt_irrefl' 'h4/thm/realax/HREAL_LT_REFL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_gt_lt_iff' 'h4/thm/integer/int_ge_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_double_twice'#@#variant 'h4/thm/arithmetic/SUC_ONE_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_total' 'h4/thm/real/REAL_LT_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_succ_inj' 'h4/thm/divides/PRIMES_11_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_0_sub' 'h4/thm/arithmetic/SUB_LESS_0_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_compare_lt_iff' 'h4/thm/quote/index_lt_def_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_nonneg' 'h4/thm/prim_rec/LESS_0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_opp_opp' 'h4/thm/arithmetic/SUB_MONO_EQ_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_id' 'h4/thm/binary_ieee/num2float_compare_float_compare2num_'
0. 'coq/Coq_NArith_BinNat_N_shiftl_shiftl' 'h4/thm/logroot/EXP_MUL_'
0. 'coq/Coq_ZArith_Zpower_two_p_equiv'#@#variant 'h4/thm/arithmetic/SUC_ONE_ADD_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_irrefl' 'h4/thm/string/string_lt_nonrefl_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_lub_lt_iff' 'h4/thm/util_prob/MAX_LE_X_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lcm_divide_iff' 'h4/thm/extreal/max_le_'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_eq_not_lt' 'h4/thm/extreal/lt_imp_ne_'
0. 'coq/Coq_Reals_Rtrigo_calc_sin_3PI2'#@#variant 'h4/thm/util_prob/HALF_CANCEL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lxor_eq_0_iff' 'h4/thm/rat/RAT_EQ_0SUB_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_lt_mono_r' 'h4/thm/arithmetic/LESS_EQ_MONO_ADD_EQ_'
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_divide_iff' 'h4/thm/arithmetic/MIN_LT_e1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_eq_iff'#@#variant 'h4/thm/real/ABS_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lnot_0_l' 'h4/thm/numeral/numeral_texp_help_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_1_r' 'h4/thm/real/REAL_MUL_RZERO_'
0. 'coq/Coq_NArith_BinNat_N_gcd_divide_iff' 'h4/thm/arithmetic/MIN_LT_e1'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_lcm_least' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_e2'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_pos_nonneg'#@#variant 'h4/thm/real/REAL_LTE_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_eqb_eq' 'h4/thm/quote/compare_index_equal_'
0. 'coq/Coq_NArith_BinNat_N_lt_trichotomy' 'h4/thm/rat/RAT_LES_TOTAL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_lt_mono_pos_r'#@#variant 'h4/thm/real/REAL_LT_RMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_gt_cases' 'h4/thm/integer/INT_LET_TOTAL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_succ_lt_mono' 'h4/thm/transc/EXP_MONO_LT_'
0. 'coq/Coq_Reals_Rpower_ln_increasing'#@#variant 'h4/thm/transc/SQRT_MONO_LE_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div_same'#@#variant 'h4/thm/real/REAL_DIV_REFL_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_le_lin'#@#variant 'h4/thm/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zmult_le_compat_l'#@#variant 'h4/thm/arithmetic/EXP_BASE_LEQ_MONO_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_add_diag_r' 'h4/thm/real/REAL_LE_MAX1_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lcm_1_l' 'h4/thm/rat/RAT_SUB_LID_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lcm_1_r_nonneg'#@#variant 'h4/thm/transc/RPOW_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_inj_wd' 'h4/thm/numeral/numeral_distrib_19'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_lt_iff' 'h4/thm/extreal/min_le_'
0. 'coq/Coq_QArith_Qreduction_Qred_compare' 'h4/thm/toto/numeralOrd_5'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_double'#@#variant 'h4/thm/transc/LN_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_eq_0_r' 'h4/thm/extreal/add_not_infty_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_1_l' 'h4/thm/real/REAL_SUB_LZERO_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_0_r'#@#variant 'h4/thm/util_prob/logr_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_1_r' 'h4/thm/HolSmt/r080_'
0. 'coq/Coq_NArith_BinNat_N_sub_le_mono_r' 'h4/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_le_incl' 'h4/thm/extreal/lt_imp_le_'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_minus_one_neq_zero'#@#variant 'h4/thm/ieee/roundmode_distinct_3'
0. 'coq/Coq_Arith_PeanoNat_Nat_ltb_lt' 'h4/thm/quote/index_lt_def_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_iff' 'h4/thm/string_num/n2s_11_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_succ_diag_r' 'h4/thm/numpair/tri_le_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_inj_wd' 'h4/thm/integer/INT_EQ_CALCULATE_1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_0_sub'#@#variant 'h4/thm/real/REAL_SUB_LT_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_divide_lcm_l' 'h4/thm/arithmetic/LESS_EQ_ADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_compare_xO_xO' 'h4/thm/quote/index_compare_def_7'
0. 'coq/Coq_NArith_BinNat_N_shiftl_mul_pow2'#@#variant 'h4/thm/integer/INT_SUB_RNEG_'
0. 'coq/Coq_ZArith_BinInt_Z_add_pred_r' 'h4/thm/arithmetic/ADD_CLAUSES_e3'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_lt_mono_r_iff'#@#variant 'h4/thm/transc/RPOW_LT_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_div_same'#@#variant 'h4/thm/integer/INT_DIV_ID_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rle_min_compat_l' 'h4/thm/real/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Structures_OrderedTypeEx_PositiveOrderedTypeBits_bits_lt_antirefl' 'h4/thm/realax/HREAL_LT_REFL_'
0. 'coq/Coq_ZArith_Znat_Zabs2N_id' 'h4/thm/ieee/num2ccode_ccode2num_'
0. 'coq/Coq_ZArith_BinInt_Z_opp_inj_wd' 'h4/thm/quote/index_11_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_le_mono_r_iff'#@#variant 'h4/thm/logroot/LT_EXP_ISO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_le_compat_r' 'h4/thm/arithmetic/LESS_MONO_ADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div2_succ_double' 'h4/thm/numpair/invtri_linverse_'
0. 'coq/Coq_ZArith_BinInt_Z_lnot_involutive' 'h4/thm/complex/COMPLEX_INV_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_le_mono' 'h4/thm/extreal/lt_neg_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_pred_succ' 'h4/thm/transc/LN_EXP_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_l2i_i2l'#@#variant 'h4/thm/toto/cpn_BIJ_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_quot_same'#@#variant 'h4/thm/integer/INT_DIV_ID_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_wf_0' 'h4/thm/nets/DORDER_NGE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_opp_r' 'h4/thm/real/real_sub_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_nle' 'h4/thm/integer/INT_NOT_LT_'
0. 'coq/Coq_ZArith_Zorder_Zplus_gt_compat_r' 'h4/thm/hrat/TRAT_MUL_WELLDEFINED_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_1_l' 'h4/thm/integer/TINT_MUL_LID_'#@#variant
0. 'coq/Coq_Reals_Rpower_arcsinh_sinh' 'h4/thm/numeral/numeral_add_0'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_move_r' 'h4/thm/complex/COMPLEX_EQ_SUB_RADD_'#@#variant
0. 'coq/Coq_Reals_Rpower_arcsinh_le' 'h4/thm/bit/TWOEXP_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div2_double' 'h4/thm/numeral/DIV2_BIT1_'
0. 'coq/Coq_Reals_RIneq_Ropp_mult_distr_r' 'h4/thm/integer/INT_NEG_RMUL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_le_compat_r' 'h4/thm/arithmetic/LESS_MONO_MULT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_null_iff' 'h4/thm/integer/INT_MOD_CALCULATE_e4'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_succ_lt_mono' 'h4/thm/integerRing/int_rewrites_tLRRRLRRRR'
0. 'coq/Coq_ZArith_BinInt_Z_land_diag' 'h4/thm/real/REAL_MAX_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_le_compat_l' 'h4/thm/integer/TINT_LT_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lxor_eq_0_iff' 'h4/thm/rat/RAT_EQ_0SUB_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_odd_1' 'h4/thm/float/FLOAT_INFINITIES_SIGNED_e1'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_opp' 'h4/thm/transc/COS_NEG_'
0. 'coq/Coq_Reals_RIneq_Ropp_mult_distr_l_reverse' 'h4/thm/integer/INT_MUL_CALCULATE_1'
0. 'coq/Coq_ZArith_Zdiv_Zmod_1_l'#@#variant 'h4/thm/arithmetic/ONE_MOD_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_eq_cases' 'h4/thm/arithmetic/LESS_OR_EQ_'
0. 'coq/Coq_ZArith_BinInt_Z_opp_succ' 'h4/thm/numeral/numeral_iisuc_e2'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pred_succ' 'h4/thm/prim_rec/PRE_e1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_eq_mul_0_r' 'h4/thm/extreal/add_not_infty_e1'
0. 'coq/Coq_Reals_Rbasic_fun_Rmax_l' 'h4/thm/extreal/le_max1_'
0. 'coq/Coq_ZArith_BinInt_Z_pow_pos_nonneg'#@#variant 'h4/thm/extreal/lte_add_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_ge_cases' 'h4/thm/real/REAL_LE_TOTAL_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_gt' 'h4/thm/string/char_le_def_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_eq_mul_0' 'h4/thm/arithmetic/MULT_EQ_0_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_divide_mono_l' 'h4/thm/integer/INT_LT_LADD_IMP_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_2' 'h4/thm/real/REAL_THIRDS_BETWEEN_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_nle' 'h4/thm/real/real_lte_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_size_nat_monotone' 'h4/thm/realax/TREAL_ISO_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_sub_min_distr_l' 'h4/thm/transc/RPOW_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gt_lt_iff' 'h4/thm/real/real_gt_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_stepr' 'h4/thm/arithmetic/LESS_LESS_EQ_TRANS_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_lt_le_mono' 'h4/thm/real/REAL_LTE_ADD2_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_0_l' 'h4/thm/arithmetic/ZERO_MOD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_opp' 'h4/thm/numRing/num_rewrites_tLRRRRRRLRRRR'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_add_le_mono_l' 'h4/thm/arithmetic/LE_ADD_LCANCEL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_succ_diag_r' 'h4/thm/divides/INDEX_LESS_PRIMES_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_asymm' 'h4/thm/arithmetic/LESS_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div_1_r' 'h4/thm/extreal/add_rzero_'
0. 'coq/Coq_Arith_Gt_plus_gt_compat_l' 'h4/thm/realax/REAL_LT_IADD_'
0. 'coq/Coq_Reals_RIneq_IZR_ge' 'h4/thm/realax/TREAL_ISO_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lt_sub_lt_add_r' 'h4/thm/real/REAL_LE_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_land_diag' 'h4/thm/real/REAL_MIN_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_succ_le_mono' 'h4/thm/integerRing/int_rewrites_tLRRRLRRR'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_0_l' 'h4/thm/divides/ONE_DIVIDES_ALL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_id' 'h4/thm/real/REAL_MAX_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_1' 'h4/thm/transc/SQRT_0_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_succ_lt_mono' 'h4/thm/numeral/numeral_distrib_28'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_lt_mono_r'#@#variant 'h4/thm/arithmetic/EXP_BASE_LEQ_MONO_IMP_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_log2_nonneg' 'h4/thm/transc/ATN_0'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_pred_inj_wd' 'h4/thm/numRing/num_rewrites_tLRRRRRRLR'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_le_incl' 'h4/thm/integer/INT_LT_IMP_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_le_mono' 'h4/thm/bit/TWOEXP_MONO2_'#@#variant
0. 'coq/Coq_Reals_Rfunctions_fact_simpl' 'h4/thm/numpair/tri_def_e1'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_le_mono' 'h4/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ldiff_ldiff_l' 'h4/thm/arithmetic/SUB_RIGHT_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sub_diag' 'h4/thm/rat/RAT_SUB_ID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_cancel_l' 'h4/thm/arithmetic/EQ_ADD_LCANCEL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ge_le_iff' 'h4/thm/rat/rat_gre_def_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_lub_lt' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_e2'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pow_lt_mono_r_iff'#@#variant 'h4/thm/arithmetic/EXP_BASE_LT_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mod_same' 'h4/thm/integer/INT_REM_ID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_0_l' 'h4/thm/integer/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_max_id' 'h4/thm/arithmetic/MAX_IDEM_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_Odd_succ' 'h4/thm/numeral/numeral_distrib_21'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_lt_mono_r_iff' 'h4/thm/int_arith/lt_justify_multiplication_'
0. 'coq/Coq_Reals_Rbasic_fun_Rmax_l' 'h4/thm/real/REAL_LE_MAX1_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div2_double' 'h4/thm/prim_rec/PRE_e1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_pos_pos' 'h4/thm/realax/TREAL_LT_MUL_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_inj_wd' 'h4/thm/extreal/eq_neg_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_lt_mono_nonneg'#@#variant 'h4/thm/integer/INT_LT_MUL2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_Even_succ' 'h4/thm/numeral/numeral_distrib_21'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qclt_not_le' 'h4/thm/real/REAL_LET_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_lt_mono_r' 'h4/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_le_mono' 'h4/thm/bit/TWOEXP_MONO_'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_id' 'h4/thm/extreal/real_normal_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_succ_r' 'h4/thm/float/LT_SUC_LE_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_ltb' 'h4/thm/toto/charOrd_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_lt_mono' 'h4/thm/numeral/numeral_distrib_28'
0. 'coq/Coq_NArith_BinNat_N_shiftl_mul_pow2'#@#variant 'h4/thm/extreal/extreal_div_def_'
0. 'coq/Coq_ZArith_Zdiv_Zdiv_1_r' 'h4/thm/HolSmt/r223_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_le_mono_nonneg_l'#@#variant 'h4/thm/real/REAL_LT_LMUL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_1_r' 'h4/thm/HolSmt/r214_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_le_mono_r' 'h4/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_opp_l' 'h4/thm/integer/INT_NEG_LMUL_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_1' 'h4/thm/extreal/neg_0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_lt_mono' 'h4/thm/numpair/tri_LE_'
0. 'coq/Coq_Reals_RIneq_Ropp_mult_distr_r_reverse' 'h4/thm/arithmetic/ADD_SUC_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_factor_r' 'h4/thm/real/REAL_LE_MAX2_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_divide_xO_xO' 'h4/thm/numeral/numeral_lt_3'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_trichotomy' 'h4/thm/realax/REAL_LT_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_lt_mono_pos_l'#@#variant 'h4/thm/int_arith/lt_justify_multiplication_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qmult_lt_r'#@#variant 'h4/thm/intExtension/INT_LT_RMUL_EXP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pred_le_mono' 'h4/thm/numpair/tri_LT_I_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sub_add' 'h4/thm/hreal/HREAL_SUB_ADD_'
0. 'coq/Coq_ZArith_Zorder_Zplus_le_compat_r' 'h4/thm/arithmetic/LESS_MONO_MULT_'
0. 'coq/Coq_PArith_Pnat_Pmult_nat_l_plus_morphism'#@#variant 'h4/thm/complex/COMPLEX_SCALAR_LMUL_SUB_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_eq_mul_0' 'h4/thm/rat/RAT_NO_ZERODIV_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Q_apart_0_1'#@#variant 'h4/thm/realax/TREAL_10_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mod_0_l' 'h4/thm/integer/INT_REM0_'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_id' 'h4/thm/binary_ieee/rounding_BIJ_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_lteq' 'h4/thm/arithmetic/LESS_OR_EQ_'
0. 'coq/Coq_ZArith_BinInt_Z_lor_diag' 'h4/thm/real/REAL_MAX_REFL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_succ_l' 'h4/thm/complex/COMPLEX_NEG_LDIV_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_min_le_compat_l' 'h4/thm/integer/INT_LT_LADD_IMP_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_ge' 'h4/thm/string/char_le_def_'
0. 'coq/Coq_ZArith_BinInt_Z_gt_lt_iff' 'h4/thm/pred_set/COUNT_applied_'
0. 'coq/Coq_Reals_RIneq_Req_le' 'h4/thm/integer/TINT_EQ_AP_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_ltb' 'h4/thm/toto/qk_numOrd_def_'
0. 'coq/Coq_ZArith_BinInt_Z_succ_inj_wd' 'h4/thm/real/REAL_EQ_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_sub' 'h4/thm/complex/COMPLEX_SUB_ADD_'#@#variant
0. 'coq/Coq_Lists_List_length_zero_iff_nil' 'h4/thm/quantHeuristics/LIST_LENGTH_20_281'
0. 'coq/Coq_ZArith_BinInt_Z_gcd_divide_iff' 'h4/thm/arithmetic/MIN_LT_e1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_0_sub'#@#variant 'h4/thm/extreal/sub_zero_le_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_cancel_l' 'h4/thm/hreal/HRAT_EQ_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_le_mono_r' 'h4/thm/integer/INT_LE_RADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pred_le_mono' 'h4/thm/bit/TWOEXP_MONO2_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_cancel_r' 'h4/thm/complex/COMPLEX_EQ_RADD_'#@#variant
0. 'coq/Coq_Arith_Min_min_idempotent' 'h4/thm/arithmetic/MAX_IDEM_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_succ' 'h4/thm/sptree/lrnext_thm_3'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_neq_succ_diag_r' 'h4/thm/prim_rec/SUC_ID_'
0. 'coq/Coq_ZArith_BinInt_Z_div_le_mono' 'h4/thm/arithmetic/DIV_LE_MONOTONE_'
0. 'coq/Coq_Reals_Rbasic_fun_Rmin_pos' 'h4/thm/integer/TINT_LT_MUL_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_cancel_l' 'h4/thm/complex/COMPLEX_EQ_LADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lcm_divide_iff' 'h4/thm/extreal/max_le_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_nge' 'h4/thm/rat/RAT_LEQ_LES_'
0. 'coq/Coq_Strings_Ascii_ascii_N_embedding' 'h4/thm/ieee/num2ccode_ccode2num_'
0. 'coq/Coq_NArith_BinNat_N_mul_1_r' 'h4/thm/integer/INT_SUB_RZERO_'
0. 'coq/Coq_Bool_Bool_eqb_reflx' 'h4/thm/arithmetic/SUB_EQUAL_0_'
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_factor_r' 'h4/thm/real/REAL_LE_MAX2_'
0. 'coq/Coq_Reals_Rsqrt_def_Rsqrt_positivity'#@#variant 'h4/thm/extreal/le_num_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_pred_l' 'h4/thm/numpair/invtri_le_'
0. 'coq/Coq_Arith_Factorial_fact_le' 'h4/thm/numpair/tri_LT_I_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_neq' 'h4/thm/integer/INT_LT_IMP_NE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_le_mono_r' 'h4/thm/arithmetic/LE_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ge_le_iff' 'h4/thm/integer/int_gt_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_le_compat_r' 'h4/thm/hrat/TRAT_MUL_WELLDEFINED_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_id' 'h4/thm/real/REAL_MIN_REFL_'
0. 'coq/Coq_Reals_Rpower_exp_increasing' 'h4/thm/prim_rec/LESS_MONO_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_eq_mul_0' 'h4/thm/arithmetic/MULT_EQ_0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_le_iff' 'h4/thm/extreal/le_max_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sub_diag' 'h4/thm/arithmetic/ABS_DIFF_EQS_'
0. 'coq/Coq_Structures_DecidableTypeEx_Z_as_DT_lt_not_eq' 'h4/thm/rat/RAT_LES_IMP_NEQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_eq_add_0' 'h4/thm/arithmetic/MULT_EQ_1_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_lub_iff' 'h4/thm/extreal/max_le_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_total' 'h4/thm/integer/INT_LT_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_add_lt_sub_r' 'h4/thm/integer/INT_LT_ADD_SUB_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_le_mono' 'h4/thm/real/REAL_LE_NEG2_'
0. 'coq/Coq_ZArith_Znat_Z2Nat_inj_neg' 'h4/thm/DeepSyntax/deep_form_size_def_6'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_succ_diag_r' 'h4/thm/prim_rec/LESS_SUC_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_0_discr' 'h4/thm/num/NOT_SUC_'
0. 'coq/Coq_ZArith_BinInt_Z_clearbit_spec_prime'#@#variant 'h4/thm/extreal/extreal_div_def_'
0. 'coq/Coq_ZArith_BinInt_Z_eqb_eq' 'h4/thm/quote/compare_index_equal_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_pred' 'h4/thm/numRing/num_rewrites_tLLRRRRRR'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_neq_0_succ' 'h4/thm/arithmetic/SUC_NOT_'
0. 'coq/Coq_ZArith_BinInt_Z_nle_gt' 'h4/thm/integer/INT_NOT_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_null_iff' 'h4/thm/numpair/tri_eq_0_0'
0. 'coq/Coq_Reals_Rsqrt_def_pow_2_n_neq_R0' 'h4/thm/binary_ieee/float_value_distinct_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_nonneg' 'h4/thm/arithmetic/FACT_LESS_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_neq_succ_diag_l' 'h4/thm/prim_rec/SUC_ID_'
0. 'coq/Coq_NArith_BinNat_N_mul_lt_mono_pos_l'#@#variant 'h4/thm/real/REAL_LT_LMUL_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_1_r' 'h4/thm/real/REAL_MUL_RZERO_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_lteq' 'h4/thm/integral/LE_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pos_pred_succ' 'h4/thm/binary_ieee/num2rounding_rounding2num_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_lt_mono_pos_r'#@#variant 'h4/thm/logroot/EXP_LT_ISO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_lt_mono'#@#variant 'h4/thm/real/REAL_LE_MUL2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lcm_least' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_e2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lcm_eq_0' 'h4/thm/integer/INT_ENTIRE_'#@#variant
0. 'coq/Coq_ZArith_Zpow_facts_Zpower_divide'#@#variant 'h4/thm/extreal/le_addr_imp_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_nonneg_nonneg' 'h4/thm/binary_ieee/le2_'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_id' 'h4/thm/string_num/n2s_s2n_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_le_compat_r' 'h4/thm/hrat/TRAT_ADD_WELLDEFINED_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_gcd_greatest' 'h4/thm/divides/DIVIDES_SUB_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_le_succ_r' 'h4/thm/prim_rec/LESS_SUC_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_lt_cancel' 'h4/thm/arithmetic/LESS_MONO_REV_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_Zpos' 'h4/thm/realax/real_lt_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_double_mul' 'h4/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_eq_mul_0' 'h4/thm/real/REAL_ENTIRE_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_lt_mono_pos_l'#@#variant 'h4/thm/integer/INT_LT_MONO_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_refl' 'h4/thm/real/REAL_LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lxor_m1_l'#@#variant 'h4/thm/numeral/numeral_texp_help_0'
0. 'coq/Coq_Arith_PeanoNat_Nat_sub_succ' 'h4/thm/integer/INT_NEG_MUL2_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_land_diag' 'h4/thm/real/REAL_MIN_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_le_mono_pos_l'#@#variant 'h4/thm/arithmetic/EXP_BASE_LT_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_nonneg_nonpos'#@#variant 'h4/thm/extreal/mul_le_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_lt_mono'#@#variant 'h4/thm/real/REAL_LE_MUL2_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_le_neq' 'h4/thm/extreal/lt_le_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pos_pred_succ' 'h4/thm/complex/RE_COMPLEX_OF_REAL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_1_r' 'h4/thm/rat/RAT_MUL_RZERO_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_square' 'h4/thm/DeepSyntax/deep_form_size_def_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_0_l'#@#variant 'h4/thm/arithmetic/ZERO_MOD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_lxor_r' 'h4/thm/extreal/mul_rneg_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_sqrt' 'h4/thm/extreal/extreal_ainv_def_e2'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftl_shiftl' 'h4/thm/arithmetic/SUB_RIGHT_SUB_'
0. 'coq/Coq_ZArith_BinInt_Z_setbit_spec_prime'#@#variant 'h4/thm/complex/complex_sub_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_diag' 'h4/thm/real/REAL_SUB_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_1_l'#@#variant 'h4/thm/integer/INT_DIVIDES_1_0'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pred_le_mono' 'h4/thm/real/REAL_POS_MONO_'
0. 'coq/Coq_Reals_Rminmax_R_max_le_compat_r' 'h4/thm/hrat/TRAT_MUL_WELLDEFINED_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_mul_cancel_l' 'h4/thm/arithmetic/EQ_ADD_LCANCEL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_lt_mono_r' 'h4/thm/integer/INT_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_lub_lt_iff' 'h4/thm/util_prob/MAX_LE_X_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_sub' 'h4/thm/real/REAL_ADD_SUB_ALT_'
0. 'coq/Coq_Arith_Plus_plus_le_compat_l' 'h4/thm/realax/REAL_LT_IADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sub_le_mono_r' 'h4/thm/arithmetic/LESS_MONO_MULT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_neq' 'h4/thm/hreal/HRAT_LT_NE_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_le_mono' 'h4/thm/numpair/tri_LT_I_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lnot_ones' 'h4/thm/bit/SUC_SUB_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lt_succ_r' 'h4/thm/float/LT_SUC_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_nonneg' 'h4/thm/divides/ZERO_LT_PRIMES_'
0. 'coq/Coq_ZArith_BinInt_Z_ldiff_ldiff_l' 'h4/thm/logroot/EXP_MUL_'
0. 'coq/Coq_Reals_Raxioms_R1_neq_R0' 'h4/thm/toto/all_cpn_distinct_tRRL'
0. 'coq/Coq_NArith_BinNat_N_shiftr_div_pow2'#@#variant 'h4/thm/HolSmt/r131_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_2' 'h4/thm/extreal/half_between_tRL'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_neq' 'h4/thm/hreal/HRAT_LT_NE_'
0. 'coq/Coq_QArith_Qpower_Qpower_pos_positive'#@#variant 'h4/thm/real/POW_POS_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_min_id' 'h4/thm/extreal/max_refl_'
0. 'coq/Coq_ZArith_BinInt_Z_add_le_mono_r' 'h4/thm/integer/INT_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_succ_lt_mono' 'h4/thm/arithmetic/LESS_EQ_MONO_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_0_iff' 'h4/thm/numpair/tri_eq_0_e1'
0. 'coq/Coq_ZArith_BinInt_Z_pred_inj_wd' 'h4/thm/numeral/numeral_distrib_19'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_lteq' 'h4/thm/arithmetic/GREATER_OR_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_1_l' 'h4/thm/HolSmt/r128_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_inj_wd' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_pred_l' 'h4/thm/integer/INT_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_lt_mono' 'h4/thm/integerRing/int_rewrites_tRRRRRRLRRRR'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_le_mono' 'h4/thm/numeral/numeral_lt_3'
0. 'coq/Coq_ZArith_BinInt_Z_min_le_iff' 'h4/thm/arithmetic/MIN_LE_0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_ge_le_iff' 'h4/thm/rat/rat_gre_def_'
0. 'coq/Coq_ZArith_BinInt_Z_add_opp_l' 'h4/thm/HolSmt/r132_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_nge' 'h4/thm/extreal/extreal_lt_def_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_le_trans' 'h4/thm/extreal/lte_trans_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_nlt_ge' 'h4/thm/HolSmt/r096_'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_iff' 'h4/thm/complex/COMPLEX_OF_REAL_EQ_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_mul_assoc' 'h4/thm/hrat/TRAT_ADD_ASSOC_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_lt_mono_r' 'h4/thm/real/REAL_LE_SUB_CANCEL2_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_refl' 'h4/thm/integer/TINT_EQ_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_inj_wd' 'h4/thm/numRing/num_rewrites_tRRRRRRRLR'
0. 'coq/Coq_Arith_PeanoNat_Nat_nle_gt' 'h4/thm/integer/INT_NOT_LE_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_lt_mono_l' 'h4/thm/arithmetic/ADD_MONO_LESS_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_succ_le_mono' 'h4/thm/numeral/numeral_distrib_22'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_le_mono' 'h4/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_mul_r' 'h4/thm/frac/FRAC_SUB_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_odd_1' 'h4/thm/ieee/Plus_infinity_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_lt_mono_r' 'h4/thm/hreal/HRAT_LT_RADD_'
0. 'coq/Coq_Reals_RIneq_Ropp_mult_distr_r_reverse' 'h4/thm/rat/RAT_AINV_RMUL_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_neg_iff' 'h4/thm/complex/COMPLEX_OF_NUM_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_lt_mono_r_iff' 'h4/thm/real/REAL_LT_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_sub_l' 'h4/thm/real/REAL_MIN_LE1_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_le_mono' 'h4/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_opp_r' 'h4/thm/integer/INT_NEG_RMUL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_null_iff' 'h4/thm/integer/INT_REM_CALCULATE_e4'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_opp_r' 'h4/thm/arithmetic/ADD_CLAUSES_e3'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_1' 'h4/thm/real/ABS_0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_setbit_spec_prime'#@#variant 'h4/thm/complex/COMPLEX_SUB_RNEG_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lor_eq_0_l' 'h4/thm/transc/RPOW_NZ_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_succ_inj_wd' 'h4/thm/string/EXPLODE_11_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_eq_0_l' 'h4/thm/transc/RPOW_NZ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_1' 'h4/thm/real/ABS_0_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_1' 'h4/thm/intExtension/INT_ABS_CALCULATE_0_'
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_le_mono' 'h4/thm/hrat/TRAT_INV_WELLDEFINED_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sub_le_mono_r' 'h4/thm/hrat/TRAT_ADD_WELLDEFINED_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_1_mul_pos'#@#variant 'h4/thm/integer/INT_LTE_ADD_'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_minus_one_neq_zero'#@#variant 'h4/thm/binary_ieee/float_compare_distinct_3'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_pos_nonneg'#@#variant 'h4/thm/extreal/lte_add_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zmult_lt_compat_r'#@#variant 'h4/thm/arithmetic/DIV_LE_MONOTONE_'#@#variant
0. 'coq/Coq_QArith_Qminmax_Q_min_glb' 'h4/thm/divides/DIVIDES_ADD_1_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_neg_iff' 'h4/thm/binary_ieee/float_value_11_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_lt_mono_r' 'h4/thm/rat/RAT_LES_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_lt_mono_pos_l'#@#variant 'h4/thm/integer/INT_LE_MONO_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_sqrt' 'h4/thm/quote/index_size_def_1'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gt_lt_iff' 'h4/thm/integer/INT_GT_CALCULATE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_mul_below' 'h4/thm/real/REAL_SUB_ABS_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_1_l' 'h4/thm/arithmetic/ZERO_LESS_EQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_diag' 'h4/thm/extreal/min_refl_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div_1_r' 'h4/thm/HolSmt/r214_'
0. 'coq/Coq_QArith_Qround_Zdiv_Qdiv' 'h4/thm/realax/real_mul_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_0_iff' 'h4/thm/real/ABS_ZERO_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_succ_le_mono' 'h4/thm/numeral/numeral_lt_4'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_nonneg_nonneg' 'h4/thm/realax/REAL_LT_MUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_gt_cases' 'h4/thm/integer/INT_LET_TOTAL_'
0. 'coq/Coq_QArith_Qcanon_Qcnot_le_lt' 'h4/thm/arithmetic/LESS_CASES_'
0. 'coq/Coq_PArith_BinPos_Pos_add_cancel_l' 'h4/thm/rat/RAT_EQ_LADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_mod' 'h4/thm/integer/INT_MOD_SUB_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_pos_pos' 'h4/thm/realax/REAL_LT_MUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_succ_l' 'h4/thm/complex/COMPLEX_NEG_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_le_compat_l' 'h4/thm/extreal/le_ladd_imp_'
0. 'coq/Coq_PArith_BinPos_Pos_add_le_mono_l' 'h4/thm/integer/LT_LADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_2' 'h4/thm/transc/COS_2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_0_r'#@#variant 'h4/thm/numeral/numeral_exp_0'#@#variant
0. 'coq/Coq_Reals_RIneq_Ropp_mult_distr_r' 'h4/thm/extreal/mul_rneg_'
0. 'coq/Coq_Reals_RIneq_Rnot_le_gt' 'h4/thm/HolSmt/t015_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_lt_iff' 'h4/thm/arithmetic/MIN_LE_0'
0. 'coq/Coq_Lists_List_nil_cons' 'h4/thm/llist/LCONS_NOT_NIL_e1'
0. 'coq/Coq_ZArith_BinInt_Z_ldiff_land' 'h4/thm/HolSmt/r224_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_even_1' 'h4/thm/ieee/Plus_infinity_'#@#variant
0. 'coq/Coq_FSets_FSetPositive_PositiveSet_eq_refl' 'h4/thm/rat/RAT_EQUIV_REF_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div_le_mono'#@#variant 'h4/thm/real/REAL_LT_RMUL_IMP_'#@#variant
0. 'coq/Coq_Bool_Bool_xorb_true_l' 'h4/thm/integer/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_setbit_spec_prime'#@#variant 'h4/thm/extreal/sub_rneg_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_lub_lt_iff' 'h4/thm/util_prob/MAX_LE_X_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_pred_l' 'h4/thm/arithmetic/ADD_CLAUSES_2'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_pred' 'h4/thm/numeral/numeral_iisuc_e2'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_sub_diag' 'h4/thm/integer/INT_SUB_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_setbit_spec_prime'#@#variant 'h4/thm/real/real_sub_'
0. 'coq/Coq_Arith_Gt_gt_n_S' 'h4/thm/real/REAL_POS_MONO_'
0. 'coq/Coq_ZArith_BinInt_Z_min_glb_lt_iff' 'h4/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_Reals_Rtrigo1_sin_gt_0'#@#variant 'h4/thm/transc/TAN_POS_PI2_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_pred' 'h4/thm/numeral_bit/numeral_ilog2_e2'#@#variant
0. 'coq/Coq_PArith_Pnat_Pmult_nat_l_plus_morphism'#@#variant 'h4/thm/complex/COMPLEX_SCALAR_LMUL_ADD_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_eq_mul_0' 'h4/thm/arithmetic/MULT_EQ_0_'
0. 'coq/Coq_Reals_RIneq_Rinv_r_sym' 'h4/thm/rat/RAT_MUL_RINV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_le_iff' 'h4/thm/util_prob/X_LE_MAX_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_nle' 'h4/thm/integer/INT_NOT_LE_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_ge_le_iff' 'h4/thm/integer/INT_GE_CALCULATE_'
0. 'coq/Coq_Reals_RIneq_Ropp_mult_distr_l_reverse' 'h4/thm/extreal/mul_lneg_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_le_mono' 'h4/thm/extreal/lt_neg_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_Odd_succ' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRL'#@#variant
0. 'coq/Coq_NArith_BinNat_N_div_1_r' 'h4/thm/integer/INT_SUB_RZERO_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_nonneg'#@#variant 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lnot_0_l' 'h4/thm/rat/RAT_SUB_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_quot_1_r' 'h4/thm/integer/INT_SUB_REDUCE_0'
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_Zabs' 'h4/thm/complex/COMPLEX_OF_REAL_NEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_pred_succ' 'h4/thm/prim_rec/PRE_e1'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_testbit_even_0'#@#variant 'h4/thm/toto/qk_numeralOrd_3'
0. 'coq/Coq_NArith_BinNat_N_mod_mul' 'h4/thm/integer/INT_REM_COMMON_FACTOR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_clearbit_spec_prime'#@#variant 'h4/thm/complex/complex_div_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_compare_xO_xO' 'h4/thm/quote/index_compare_def_5'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_factor_r' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_1'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_trichotomy' 'h4/thm/arithmetic/LESS_CASES_IMP_'
0. 'coq/Coq_ZArith_BinInt_Z_add_pred_l' 'h4/thm/arithmetic/PRE_SUB_'
0. 'coq/Coq_NArith_BinNat_N_succ_le_mono' 'h4/thm/integerRing/int_rewrites_tLRRRLRRR'
0. 'coq/Coq_QArith_QArith_base_Qplus_lt_l' 'h4/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gt_lt_iff' 'h4/thm/arithmetic/GREATER_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_eq_mul_0_r' 'h4/thm/extreal/add_not_infty_e1'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_xO'#@#variant 'h4/thm/toto/num_dt_size_def_e2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_max_r' 'h4/thm/integer/INT_DIVIDES_MUL_e1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lcm_1_l' 'h4/thm/HolSmt/r221_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_neq_succ_0' 'h4/thm/transc/EXP_NZ_'#@#variant
0. 'coq/Coq_Lists_List_length_zero_iff_nil' 'h4/thm/quantHeuristics/LIST_LENGTH_4_57'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_add_le' 'h4/thm/real/ABS_TRIANGLE_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_max_r' 'h4/thm/integer/INT_DIVIDES_MUL_e1'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_double' 'h4/thm/extreal/extreal_ainv_def_e2'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_pos'#@#variant 'h4/thm/transc/EXP_LT_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_succ_r' 'h4/thm/frac/FRAC_AINV_RMUL_'
0. 'coq/Coq_NArith_BinNat_N_pos_pred_spec' 'h4/thm/frac/frac_sgn_def_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_testbit_even_0'#@#variant 'h4/thm/toto/numeralOrd_3'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_0_succ' 'h4/thm/arithmetic/FACT_LESS_'
0. 'coq/Coq_ZArith_BinInt_Z_add_lt_mono_r' 'h4/thm/arithmetic/LESS_MONO_ADD_EQ_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_compare_lt_iff' 'h4/thm/quote/index_lt_def_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_pred'#@#variant 'h4/thm/real/REAL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_max_r' 'h4/thm/extreal/le_max2_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_eqb_eq' 'h4/thm/quote/compare_index_equal_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_l' 'h4/thm/real/REAL_MAX_ALT_e1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_succ_r_prime' 'h4/thm/arithmetic/MULT_CLAUSES_e5'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pos_pred_succ' 'h4/thm/ieee/num2ccode_ccode2num_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_nge' 'h4/thm/real/real_lte_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_mul_below' 'h4/thm/real/REAL_SUB_ABS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_move_0_r' 'h4/thm/real/REAL_SUB_0_'#@#variant
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_pred' 'h4/thm/quote/index_size_def_0'#@#variant
0. 'coq/Coq_ZArith_BinInt_Zopp_mult_distr_l' 'h4/thm/extreal/mul_lneg_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_le_mono' 'h4/thm/bit/TWOEXP_MONO2_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qplus_inj_l' 'h4/thm/arithmetic/LT_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_1' 'h4/thm/transc/SQRT_0_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_le_mono' 'h4/thm/bit/TWOEXP_MONO2_'#@#variant
0. 'coq/Coq_Reals_RIneq_Ropp_involutive' 'h4/thm/complex/COMPLEX_INV_INV_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lxor_m1_l'#@#variant 'h4/thm/rat/RAT_SUB_LID_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rplus_le_compat_l' 'h4/thm/extreal/le_ladd_imp_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_setbit_spec_prime'#@#variant 'h4/thm/frac/frac_sub_def_'
0. 'coq/Coq_Arith_Min_min_idempotent' 'h4/thm/real/REAL_MIN_REFL_'
0. 'coq/Coq_Reals_RIneq_Rmult_le_0_lt_compat'#@#variant 'h4/thm/real/REAL_LT_MUL2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_succ_le_mono' 'h4/thm/arithmetic/LESS_EQ_MONO_'
0. 'coq/Coq_Reals_RIneq_Ropp_neq_0_compat' 'h4/thm/real/REAL_INV_NZ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_divide_l' 'h4/thm/extreal/min_le1_'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_one_neq_zero' 'h4/thm/ieee/ccode_distinct_3'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_id' 'h4/thm/realax/TREAL_BIJ_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lnot_ones' 'h4/thm/hreal/HREAL_MUL_LINV_'
0. 'coq/Coq_Reals_RIneq_Ropp_involutive' 'h4/thm/integerRing/int_calculate_12'
0. 'coq/Coq_ZArith_Zlogarithm_log_inf_correct/0'#@#variant 'h4/thm/float/twogz_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_1' 'h4/thm/rat/RAT_AINV_0_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_nonneg_nonneg' 'h4/thm/realax/REAL_LT_MUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_inj_wd' 'h4/thm/DeepSyntax/deep_form_11_2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_succ' 'h4/thm/numpair/invtri_linverse_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_even_1' 'h4/thm/rat/rat_of_num_def_compute_1'
0. 'coq/Coq_Arith_PeanoNat_Nat_succ_lt_mono' 'h4/thm/arithmetic/LESS_MONO_EQ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_1_r' 'h4/thm/HolSmt/r223_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_pos_pos' 'h4/thm/realax/TREAL_LT_MUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_eq_1'#@#variant 'h4/thm/arithmetic/ADD_EQ_0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_lt_mono' 'h4/thm/numpair/tri_LE_'
0. 'coq/Coq_Reals_RIneq_opp_IZR' 'h4/thm/extreal/extreal_abs_def_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_lt_mono_r' 'h4/thm/arithmetic/LESS_MONO_ADD_EQ_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_le_mono' 'h4/thm/hrat/TRAT_INV_WELLDEFINED_'#@#variant
0. 'coq/Coq_ZArith_Zeven_Zodd_plus_Zeven' 'h4/thm/integer/INT_LTE_ADD_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lt_sub_0' 'h4/thm/rat/RAT_LES_SUB0_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftl_1_l'#@#variant 'h4/thm/HolSmt/r128_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_tan_gt_0'#@#variant 'h4/thm/transc/SIN_POS_PI_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_0_l' 'h4/thm/extreal/le_infty_tLL'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_succ_not_1' 'h4/thm/quote/index_distinct_e2'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_divide_cancel_l' 'h4/thm/integer/INT_DIVIDES_MUL_BOTH_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_cancel_l' 'h4/thm/hreal/HRAT_EQ_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lcm_1_l' 'h4/thm/integer/INT_SUB_LZERO_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_nonneg'#@#variant 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_NArith_BinNat_N_succ_0_discr' 'h4/thm/intto/BIT2_nz_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_0_r'#@#variant 'h4/thm/arithmetic/MOD_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_cancel_l' 'h4/thm/hreal/HRAT_EQ_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_0_l' 'h4/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_lteq' 'h4/thm/integral/LE_LT_'
0. 'coq/Coq_ZArith_BinInt_Z_opp_inj_wd' 'h4/thm/complex/COMPLEX_EQ_NEG_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div_le_mono'#@#variant 'h4/thm/integral/REAL_LE_RMUL1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_lt_mono_r'#@#variant 'h4/thm/arithmetic/EXP_BASE_LEQ_MONO_IMP_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_le_mono_nonneg_l'#@#variant 'h4/thm/real/REAL_LE_LMUL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftr_div_pow2'#@#variant 'h4/thm/frac/frac_sub_def_'
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_greatest' 'h4/thm/divides/DIVIDES_SUB_'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_iff' 'h4/thm/ieee/ccode_EQ_ccode_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_double'#@#variant 'h4/thm/util_prob/lg_inv_'#@#variant
0. 'coq/Coq_FSets_FSetPositive_PositiveSet_equal_spec' 'h4/thm/quote/index_lt_def_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_lor' 'h4/thm/complex/COMPLEX_EXP_SUB_'#@#variant
0. 'coq/Coq_QArith_Qround_Qceiling_Z' 'h4/thm/binary_ieee/num2rounding_rounding2num_'
0. 'coq/Coq_NArith_BinNat_N_gt_lt_iff' 'h4/thm/arithmetic/GREATER_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_pos_cancel_l'#@#variant 'h4/thm/real/REAL_LT_LMUL_0_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_nonneg_pos'#@#variant 'h4/thm/integer/INT_LET_ADD_'#@#variant
0. 'coq/Coq_FSets_FSetPositive_PositiveSet_E_bits_lt_antirefl' 'h4/thm/rat/RAT_LES_REF_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_comm' 'h4/thm/hrat/TRAT_ADD_SYM_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lt_pred_le' 'h4/thm/arithmetic/OR_LESS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div2_spec'#@#variant 'h4/thm/arithmetic/PRE_SUB1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_lt_mono_r' 'h4/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_succ_le_mono' 'h4/thm/numeral/numeral_lte_e6'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_lt_iff' 'h4/thm/real/REAL_MIN_LE_'
0. 'coq/Coq_ZArith_BinInt_Z_add_succ_r' 'h4/thm/arithmetic/ADD_CLAUSES_e3'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_le_mono' 'h4/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_quot_1_r' 'h4/thm/HolSmt/r127_'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_le_neq' 'h4/thm/integer/INT_LT_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_le_mono' 'h4/thm/transc/EXP_MONO_LE_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_inv_norm' 'h4/thm/real/REAL_INV_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_diag' 'h4/thm/numeral/iDUB_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gt_lt_iff' 'h4/thm/integer/INT_GT_CALCULATE_'
0. 'coq/Coq_QArith_QArith_base_Qplus_le_l' 'h4/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_pred_sub' 'h4/thm/arithmetic/ADD1_'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qcopp_involutive' 'h4/thm/integer/INT_REM_CALCULATE_2'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_lt_trans' 'h4/thm/rat/RAT_LEQ_LES_TRANS_'
0. 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_le_lt_iff' 'h4/thm/HolSmt/r115_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_nonneg_r'#@#variant 'h4/thm/extreal/le_rmul_imp_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ones_equiv'#@#variant 'h4/thm/numeral/numeral_pre_e4'
0. 'coq/Coq_ZArith_Znat_Zabs2Nat_inj_pos' 'h4/thm/complex/complex_of_num_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lcm_diag' 'h4/thm/real/REAL_MAX_REFL_'
0. 'coq/Coq_Reals_RIneq_Rle_refl' 'h4/thm/divides/DIVIDES_REFL_'
0. 'coq/Coq_NArith_BinNat_N_lt_succ_diag_r' 'h4/thm/real/REAL_POS_INFLATE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lxor_nilpotent' 'h4/thm/arithmetic/SUB_EQUAL_0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_1_l'#@#variant 'h4/thm/arithmetic/ZERO_LESS_EQ_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_total' 'h4/thm/rat/RAT_LES_TOTAL_'
0. 'coq/Coq_PArith_BinPos_Pos_mul_xO_r' 'h4/thm/complex/COMPLEX_MUL_RNEG_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_max_lub' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_e2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_quot_1_r' 'h4/thm/HolSmt/r214_'
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_r' 'h4/thm/integer/TINT_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_divide_refl' 'h4/thm/extreal/le_refl_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_le_mono_r' 'h4/thm/rat/RAT_LES_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_square_nonneg'#@#variant 'h4/thm/real/REAL_LE_SQUARE_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_nonneg_nonneg' 'h4/thm/arithmetic/LESS_MULT2_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_ldiff_ldiff_l' 'h4/thm/frac/FRAC_SUB_ADD_'
0. 'coq/Coq_NArith_BinNat_N_add_1_r'#@#variant 'h4/thm/arithmetic/DIV2_def_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_le_mono_pos_r'#@#variant 'h4/thm/real/REAL_LT_RDIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_le_mono_pos_l'#@#variant 'h4/thm/real/REAL_LT_LMUL_'#@#variant
0. 'coq/Coq_Reals_R_sqrt_sqrt_positivity'#@#variant 'h4/thm/extreal/sqrt_pos_le_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_odd_1' 'h4/thm/ieee/Minus_zero_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_Zpos' 'h4/thm/extreal/extreal_le_def_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_mul_l' 'h4/thm/divides/DIVIDES_MULT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_lt_iff' 'h4/thm/arithmetic/MAX_LE_0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_trichotomy' 'h4/thm/rat/RAT_LES_TOTAL_'
0. 'coq/Coq_NArith_BinNat_N_le_ngt' 'h4/thm/arithmetic/NOT_LESS_'
0. 'coq/Coq_NArith_BinNat_N_double_spec'#@#variant 'h4/thm/real/REAL_NEG_MINUS1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_lt_mono_pos_r'#@#variant 'h4/thm/real/REAL_LT_RMUL_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_sgn_0' 'h4/thm/realax/TREAL_INV_0_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_PI_neq0' 'h4/thm/ieee/ccode_distinct_4'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_iff' 'h4/thm/binary_ieee/float_value_11_'
0. 'coq/Coq_ZArith_Znat_Zabs2Nat_id' 'h4/thm/ASCIInumbers/toNum_toString_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_lt_mono_r' 'h4/thm/arithmetic/LT_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_succ_lt_mono' 'h4/thm/numeral/numeral_distrib_28'
0. 'coq/Coq_NArith_BinNat_N_add_1_l' 'h4/thm/HolSmt/r221_'
0. 'coq/Coq_ZArith_BinInt_Z_gcd_1_r' 'h4/thm/rat/RAT_MUL_RZERO_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_succ_diag_r' 'h4/thm/numpair/tri_le_'
0. 'coq/Coq_ZArith_Znat_Z2N_inj_quot2' 'h4/thm/toto/num_dt_size_def_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_1_mul_pos'#@#variant 'h4/thm/real/REAL_LTE_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_eq_le_incl' 'h4/thm/integer/INT_EQ_IMP_LE_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_of_pos' 'h4/thm/ieee/Exponent_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lcm_1_l'#@#variant 'h4/thm/integer/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_le_mono' 'h4/thm/transc/EXP_MONO_IMP_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_add_le_sub_r' 'h4/thm/extreal/lt_sub_imp_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_sub_le_add_r' 'h4/thm/integer/INT_LT_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_ge_le_iff' 'h4/thm/integer/int_ge_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_lteq' 'h4/thm/integer/INT_LE_CALCULATE_'
0. 'coq/Coq_NArith_BinNat_N_pred_div2_up' 'h4/thm/extreal/extreal_sqrt_def_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_eq_0_r' 'h4/thm/extreal/add_not_infty_e1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_mul_l' 'h4/thm/integer/INT_DIVIDES_LMUL_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_is_nonneg'#@#variant 'h4/thm/realax/REAL_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_lt' 'h4/thm/integer/INT_ABS_LT_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_min_distr' 'h4/thm/complex/COMPLEX_EXP_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_succ_r' 'h4/thm/complex/COMPLEX_MUL_RNEG_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_lt_mono_pos_l'#@#variant 'h4/thm/int_arith/lt_justify_multiplication_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_le_lteq' 'h4/thm/integer/INT_LE_CALCULATE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_greatest' 'h4/thm/divides/DIVIDES_ADD_1_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_opp' 'h4/thm/numeral/numeral_add_6'#@#variant
0. 'coq/Coq_Reals_RIneq_opp_IZR' 'h4/thm/quote/index_size_def_1'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qlt_minus_iff'#@#variant 'h4/thm/int_arith/lt_move_all_right_'#@#variant
0. 'coq/Coq_ZArith_Zdiv_Z_mod_same_full' 'h4/thm/rat/RAT_SUB_ID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_nonneg'#@#variant 'h4/thm/integer/INT_LT_MUL2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_succ_l' 'h4/thm/real/REAL_MUL_LNEG_'
0. 'coq/Coq_Reals_Rpower_exp_le_3'#@#variant 'h4/thm/extreal/half_between_e2'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_divide_xO_xO' 'h4/thm/transc/EXP_MONO_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pos_pred_succ' 'h4/thm/binary_ieee/num2rounding_rounding2num_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_min_distr_l' 'h4/thm/transc/RPOW_ADD_'
0. 'coq/Coq_ZArith_Znat_Z_nat_N' 'h4/thm/ieee/Exponent_'#@#variant
0. 'coq/Coq_Reals_RIneq_succ_IZR' 'h4/thm/rat/RAT_OF_NUM_e1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_pred_r' 'h4/thm/complex/COMPLEX_MUL_RNEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_sub_diag' 'h4/thm/rat/RAT_SUB_ID_'#@#variant
0. 'coq/Coq_MMaps_MMapWeakList_Some_iff' 'h4/thm/ringNorm/polynom_11_1'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_add_pos_r'#@#variant 'h4/thm/arithmetic/X_LE_X_EXP_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_le_mono' 'h4/thm/bit/TWOEXP_MONO_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_neq_0_succ' 'h4/thm/quote/index_distinct_1'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_nlt_ge' 'h4/thm/extreal/extreal_lt_def_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_le_compat_l' 'h4/thm/realax/TREAL_LT_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_lt_iff' 'h4/thm/arithmetic/MAX_LE_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_max_l' 'h4/thm/hreal/HRAT_LT_ADDL_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_lt_mono_r' 'h4/thm/arithmetic/LESS_MONO_ADD_EQ_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_iff' 'h4/thm/DeepSyntax/deep_form_11_6'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_lt_mono'#@#variant 'h4/thm/integer/INT_LT_MUL2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_refl' 'h4/thm/rat/RAT_EQUIV_REF_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftr_shiftr' 'h4/thm/logroot/EXP_MUL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_divide_mono_r' 'h4/thm/arithmetic/LESS_MONO_ADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_le_mono' 'h4/thm/bit/TWOEXP_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_nonneg_nonneg' 'h4/thm/integer/TINT_LT_MUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_succ_diag_r' 'h4/thm/real/REAL_POS_INFLATE_'
0. 'coq/Coq_PArith_BinPos_Pos_add_cancel_r' 'h4/thm/integer/INT_EQ_RADD_'
0. 'coq/Coq_Arith_Min_min_glb' 'h4/thm/divides/DIVIDES_SUB_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_inj_wd' 'h4/thm/quote/index_11_0'
0. 'coq/Coq_Reals_RIneq_Ropp_involutive' 'h4/thm/frac/FRAC_AINV_AINV_'
0. 'coq/Coq_Reals_Rbasic_fun_Ropp_Rmin' 'h4/thm/complex/COMPLEX_EXP_SUB_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_land_comm' 'h4/thm/hrat/TRAT_MUL_SYM_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_negb_odd' 'h4/thm/frac/frac_sgn_def_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_succ_diag_r' 'h4/thm/bit/BIT_B_'#@#variant
0. 'coq/Coq_ZArith_Zdiv_Zdiv_1_r' 'h4/thm/rat/RAT_SUB_RID_'
0. 'coq/Coq_ZArith_Zorder_Zlt_not_le' 'h4/thm/arithmetic/LESS_EQ_ANTISYM_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_ge_cases' 'h4/thm/real/REAL_LE_TOTAL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_cancel_l' 'h4/thm/real/REAL_EQ_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_0_r'#@#variant 'h4/thm/integer/INT_MOD_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_ones_equiv'#@#variant 'h4/thm/numeral/numeral_suc_1'
0. 'coq/Coq_Reals_Raxioms_Rmult_lt_compat_l'#@#variant 'h4/thm/integral/REAL_LE_LMUL1_'#@#variant
0. 'coq/Coq_QArith_QOrderedType_Q_as_DT_eqb_eq' 'h4/thm/quote/index_lt_def_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_refl' 'h4/thm/rat/RAT_LEQ_REF_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_inj_wd' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_le_compat_r' 'h4/thm/hrat/TRAT_MUL_WELLDEFINED_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_lt_iff' 'h4/thm/util_prob/X_LE_MAX_'
0. 'coq/Coq_ZArith_Zlogarithm_log_sup_correct1'#@#variant 'h4/thm/binary_ieee/zero_le_twopow_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_refl' 'h4/thm/integer/INT_LE_REFL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_sub_lt_add_r' 'h4/thm/arithmetic/SUB_LEFT_LESS_'
0. 'coq/Coq_Reals_Rtrigo_calc_sqrt2_neq_0'#@#variant 'h4/thm/ieee/ccode_distinct_2'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_le_mono_l_iff' 'h4/thm/int_arith/INT_DIVIDES_LRMUL_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_succ'#@#variant 'h4/thm/real/REAL_OF_NUM_SUC_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_lcm_l' 'h4/thm/hreal/HRAT_LT_ADDL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_xO_r' 'h4/thm/arithmetic/ADD_SUC_'
0. 'coq/Coq_Arith_Mult_mult_le_compat_l' 'h4/thm/extreal/le_ladd_imp_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_le_trans' 'h4/thm/extreal/lte_trans_'
0. 'coq/Coq_ZArith_BinInt_Z_log2_le_mono' 'h4/thm/prim_rec/LESS_MONO_'
0. 'coq/Coq_PArith_BinPos_Pos_add_succ_r' 'h4/thm/integer/INT_NEG_RMUL_'
0. 'coq/Coq_ZArith_BinInt_Z_add_cancel_r' 'h4/thm/rat/RAT_EQ_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_testbit_even_0'#@#variant 'h4/thm/toto/num_dtOrd_3'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_inj_wd' 'h4/thm/numRing/num_rewrites_tRRRRRRRLR'
0. 'coq/Coq_Reals_Rtrigo1_cos_neg' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRLRRRR'#@#variant
0. 'coq/Coq_omega_OmegaLemmas_Zred_factor2'#@#variant 'h4/thm/arithmetic/MULT_CLAUSES_e5'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_sub_le_add_l' 'h4/thm/rat/RAT_LSUB_LES_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_succ_le_mono' 'h4/thm/integerRing/int_rewrites_tLRRRRLRRR'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_min_l' 'h4/thm/real/REAL_MIN_LE1_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_1_l'#@#variant 'h4/thm/HolSmt/r129_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_of_Qc' 'h4/thm/frac/frac_tybij_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_divide_mono_r' 'h4/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_mod' 'h4/thm/integer/INT_MOD_SUB_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lt_add_lt_sub_r' 'h4/thm/real/REAL_LT_ADD_SUB_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_succ_lt_mono' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_refl' 'h4/thm/rat/RAT_LEQ_REF_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_1' 'h4/thm/integer/INT_NEG_0_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_lt_mono_r' 'h4/thm/hreal/HRAT_LT_RADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_lt_iff' 'h4/thm/real/REAL_MIN_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_le' 'h4/thm/integer/INT_ABS_LT_0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_inj_wd' 'h4/thm/complex/COMPLEX_EQ_NEG_'#@#variant
0. 'coq/Coq_Reals_Ratan_Alt_PI_eq' 'h4/thm/integerRing/int_rewrites_1'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_lt_mono_r'#@#variant 'h4/thm/real/REAL_LT_LMUL_IMP_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zgt_irrefl' 'h4/thm/string/string_lt_nonrefl_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sub_diag' 'h4/thm/real/REAL_SUB_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_add' 'h4/thm/complex/COMPLEX_SUB_ADD_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_glb_lt' 'h4/thm/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_nge' 'h4/thm/integer/INT_NOT_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pos_pred_succ' 'h4/thm/extreal/real_normal_'
0. 'coq/Coq_PArith_BinPos_Pos_pred_double_spec' 'h4/thm/numeral/numeral_pre_e4'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_lt_mono_r' 'h4/thm/real/REAL_LE_SUB_CANCEL2_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_le_compat_r' 'h4/thm/integer/TINT_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sub_lt_mono_r' 'h4/thm/rat/RAT_LES_RADD_'
0. 'coq/Coq_NArith_BinNat_N_succ_le_mono' 'h4/thm/numeral/numeral_lte_e6'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_compare_xO_xO' 'h4/thm/toto/num_dtOrd_e8'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_odd_sub' 'h4/thm/integer/INT_SUB_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_irrefl' 'h4/thm/realax/HREAL_LT_REFL_'
0. 'coq/Coq_NArith_BinNat_N_clearbit_spec_prime'#@#variant 'h4/thm/complex/complex_div_'#@#variant
0. 'coq/Coq_QArith_Qminmax_Q_min_glb_lt_iff' 'h4/thm/arithmetic/MIN_LE_e1'
0. 'coq/Coq_Arith_PeanoNat_Nat_ldiff_ldiff_l' 'h4/thm/arithmetic/SUB_RIGHT_SUB_'
0. 'coq/Coq_Reals_RIneq_Rle_0_1' 'h4/thm/transc/PI2_BOUNDS_e1'#@#variant
0. 'coq/Coq_Reals_RIneq_Rmult_le_pos' 'h4/thm/integer/TINT_LT_MUL_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_of_pos' 'h4/thm/rat/RAT_SGN_CALCULATE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_pos_pos' 'h4/thm/realax/REAL_LT_MUL_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_opp_pos' 'h4/thm/integerRing/int_ring_thms_e17'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_trichotomy' 'h4/thm/arithmetic/LESS_CASES_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_divide_xO_xO' 'h4/thm/numeral/numeral_distrib_28'
0. 'coq/Coq_PArith_BinPos_Pos_le_refl' 'h4/thm/rat/RAT_LEQ_REF_'
0. 'coq/Coq_Lists_List_lel_refl' 'h4/thm/sorting/PERM_REFL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_nonneg' 'h4/thm/transc/ATN_BOUNDS_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftl_opp_r' 'h4/thm/extreal/extreal_div_def_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_le_iff' 'h4/thm/arithmetic/MIN_LE_0'
0. 'coq/Coq_Reals_Rbasic_fun_Rmax_l' 'h4/thm/arithmetic/LESS_EQ_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_lt' 'h4/thm/integer/INT_ABS_LT_0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_max_r' 'h4/thm/hreal/HRAT_LT_ADDR_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_pred_l' 'h4/thm/integer/INT_MUL_CALCULATE_1'
0. 'coq/Coq_Reals_Ratan_Alt_PI_eq' 'h4/thm/integer/INT_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ge_le_iff' 'h4/thm/pred_set/COUNT_applied_'
0. 'coq/Coq_ZArith_BinInt_Z_pred_lt_mono' 'h4/thm/integerRing/int_rewrites_tRRRRRRLRRRR'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_move_r' 'h4/thm/real/REAL_EQ_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_le_mono_r' 'h4/thm/hreal/HRAT_LT_RADD_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_succ_diag_r' 'h4/thm/real/REAL_POS_INFLATE_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_eqb_eq' 'h4/thm/quote/compare_index_equal_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_nge' 'h4/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_le_mono_r' 'h4/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_ldiff_ldiff_l' 'h4/thm/logroot/EXP_MUL_'
0. 'coq/Coq_QArith_Qreals_Q2R_opp' 'h4/thm/extreal/extreal_ainv_def_e2'
0. 'coq/Coq_NArith_BinNat_N_le_ngt' 'h4/thm/real/REAL_NOT_LT_'
0. 'coq/Coq_ZArith_Zlogarithm_log_near_correct1'#@#variant 'h4/thm/binary_ieee/zero_le_twopow_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_le_mono_nonneg'#@#variant 'h4/thm/integer/INT_LT_MUL2_'#@#variant
0. 'coq/Coq_Classes_Morphisms_subrelation_refl' 'h4/thm/sorting/PERM_REFL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_lt_mono_pos_l'#@#variant 'h4/thm/int_arith/justify_divides_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_inj_wd' 'h4/thm/DeepSyntax/deep_form_11_2'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_ge_cases' 'h4/thm/integer/INT_LET_TOTAL_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_incr' 'h4/thm/extreal/extreal_ainv_def_e2'
0. 'coq/Coq_QArith_Qminmax_Q_max_comm' 'h4/thm/hrat/TRAT_ADD_SYM_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_le_gt_cases' 'h4/thm/arithmetic/LESS_CASES_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_l2i_i2l'#@#variant 'h4/thm/realax/TREAL_BIJ_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_clearbit_spec_prime'#@#variant 'h4/thm/complex/complex_div_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_pos_pos' 'h4/thm/arithmetic/LESS_MULT2_'
0. 'coq/Coq_ZArith_BinInt_Z_pred_le_mono' 'h4/thm/numeral/numeral_lt_3'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_div2' 'h4/thm/extreal/extreal_sqrt_def_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_1' 'h4/thm/transc/SQRT_0_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_refl' 'h4/thm/integer/INT_LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_le_mono' 'h4/thm/hrat/TRAT_INV_WELLDEFINED_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_l' 'h4/thm/integer/TINT_LT_ADD_'#@#variant
0. 'coq/Coq_Reals_RIneq_Req_ge' 'h4/thm/integer/TINT_EQ_AP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_eq_mul_0' 'h4/thm/integer/INT_ENTIRE_'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qcpower_1'#@#variant 'h4/thm/real/POW_ONE_'#@#variant
0. 'coq/Coq_Reals_Raxioms_Rplus_opp_r' 'h4/thm/rat/RAT_ADD_RINV_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_succ_r' 'h4/thm/complex/COMPLEX_MUL_RNEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_divide/0' 'h4/thm/real/REAL_MIN_LE1_'
0. 'coq/Coq_Arith_Gt_gt_Sn_O' 'h4/thm/transc/COS_BOUNDS_e1'#@#variant
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_incr' 'h4/thm/extreal/extreal_inv_def_e2'
0. 'coq/Coq_ZArith_BinInt_Z_opp_involutive' 'h4/thm/integer/INT_QUOT_CALCULATE_e4'
0. 'coq/Coq_Reals_Rpower_Rpower_plus' 'h4/thm/transc/RPOW_ADD_'
0. 'coq/Coq_QArith_QArith_base_Qle_refl' 'h4/thm/hrat/TRAT_EQ_REFL_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_nle_gt' 'h4/thm/real/real_lt_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_pos_r'#@#variant 'h4/thm/rat/RAT_LES_RMUL_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_lt_mono_pos_l'#@#variant 'h4/thm/transc/RPOW_LE_'#@#variant
0. 'coq/Coq_Strings_Ascii_ascii_N_embedding' 'h4/thm/string_num/s2n_n2s_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rle_le_eq' 'h4/thm/integer/INT_LE_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_pos_r'#@#variant 'h4/thm/logroot/EXP_LE_ISO_'#@#variant
0. 'coq/Coq_Sets_Classical_sets_Complement_Complement' 'h4/thm/list/REVERSE_REVERSE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_1_r' 'h4/thm/extreal/sub_rzero_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_lt_mono_pos_l'#@#variant 'h4/thm/logroot/LE_EXP_ISO_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_le_compat_r' 'h4/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_iff' 'h4/thm/ieee/ccode2num_11_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_pos_spec' 'h4/thm/complex/MODU_REAL_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_1' 'h4/thm/real/REAL_NEG_0_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_Zpos' 'h4/thm/int_arith/INT_NUM_DIVIDES_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sub_succ' 'h4/thm/complex/COMPLEX_NEG_DIV2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_m1_0'#@#variant 'h4/thm/extreal/lt_infty_2'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_0_iff' 'h4/thm/integer/INT_MOD_CALCULATE_e4'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_min_r' 'h4/thm/extreal/min_le2_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_lt_iff' 'h4/thm/arithmetic/MAX_LE_0'
0. 'coq/Coq_NArith_BinNat_N_gcd_1_l' 'h4/thm/real/REAL_DIV_LZERO_'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_one_neq_zero' 'h4/thm/binary_ieee/rounding_distinct_4'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_setbit_spec_prime'#@#variant 'h4/thm/complex/complex_sub_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_pow_1_l'#@#variant 'h4/thm/arithmetic/ONE_MOD_'#@#variant
0. 'coq/Coq_Lists_List_length_zero_iff_nil' 'h4/thm/quantHeuristics/LIST_LENGTH_25_350'
0. 'coq/Coq_ZArith_Zorder_Zmult_le_compat_r'#@#variant 'h4/thm/extreal/le_rmul_imp_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qmult_le_l'#@#variant 'h4/thm/logroot/LT_EXP_ISO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_succ_diag_r' 'h4/thm/divides/INDEX_LESS_PRIMES_'
0. 'coq/Coq_NArith_BinNat_N_mul_divide_mono_r' 'h4/thm/arithmetic/LESS_MONO_MULT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_lcm_r' 'h4/thm/real/REAL_LE_MAX2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_pos_nonneg'#@#variant 'h4/thm/real/REAL_LTE_ADD_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_max_l' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div2_double' 'h4/thm/numpair/invtri_linverse_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_succ_r' 'h4/thm/rat/RAT_AINV_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_nonneg_nonneg' 'h4/thm/realax/TREAL_LT_MUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_irrefl' 'h4/thm/realax/REAL_LT_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_compare_eq_iff' 'h4/thm/quote/compare_index_equal_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_eq_le_incl' 'h4/thm/HolSmt/t006_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_opp_neg' 'h4/thm/ratRing/rat_ring_thms_e17'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pred_sub'#@#variant 'h4/thm/arithmetic/PRE_SUB1_'#@#variant
0. 'coq/Coq_fourier_Fourier_util_Rfourier_eqLR_to_le' 'h4/thm/realax/TREAL_EQ_AP_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_le_mono_l' 'h4/thm/realax/HREAL_LT_LADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_1_l' 'h4/thm/numeral/texp_help_def_0'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_1' 'h4/thm/transc/TAN_0_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_divide_mono_l' 'h4/thm/integer/TINT_LT_ADD_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_divide_Zpos' 'h4/thm/real/REAL_OF_NUM_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_factor_l' 'h4/thm/hreal/HRAT_LT_ADDL_'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_succ' 'h4/thm/toto/num_dt_size_def_1'#@#variant
0. 'coq/Coq_Arith_Lt_lt_n_S' 'h4/thm/real/REAL_POS_MONO_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_lt_mono' 'h4/thm/numeral/numeral_lte_3'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_le' 'h4/thm/integer/INT_ABS_LT_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ge_le_iff' 'h4/thm/real/real_ge_'
0. 'coq/Coq_Reals_Rpower_exp_increasing' 'h4/thm/transc/EXP_MONO_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_pred_of_succ_nat' 'h4/thm/ratRing/rat_ring_thms_e17'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_shiftl_1_l'#@#variant 'h4/thm/numeral/numeral_texp_help_0'
0. 'coq/Coq_ZArith_BinInt_Z_add_pred_l' 'h4/thm/rat/RAT_AINV_LMUL_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_is_nonneg' 'h4/thm/realax/REAL_POS_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_succ_lt_mono' 'h4/thm/arithmetic/LESS_EQ_MONO_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_le_mono_pos_l'#@#variant 'h4/thm/integer/INT_LT_MONO_'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qcnot_le_lt' 'h4/thm/integer/INT_LTE_TOTAL_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_phi' 'h4/thm/ieee/roundmode_BIJ_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mod_1_r'#@#variant 'h4/thm/util_prob/logr_1_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_add_lt_sub_r' 'h4/thm/real/REAL_LT_SUB_RADD_'
0. 'coq/Coq_ZArith_BinInt_Z_min_glb_lt' 'h4/thm/divides/DIVIDES_SUB_'
0. 'coq/Coq_Reals_Rtrigo1_sin_pos_tech'#@#variant 'h4/thm/transc/SIN_POS_PI_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lcm_1_l'#@#variant 'h4/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_id' 'h4/thm/gcd/GCD_REF_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_1_r' 'h4/thm/HolSmt/r127_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_lt_mono_pos_l'#@#variant 'h4/thm/rat/RAT_LES_LMUL_POS_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pred_div2_up' 'h4/thm/DeepSyntax/deep_form_size_def_2'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_nonneg' 'h4/thm/integral/LT_0_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_1_l' 'h4/thm/realax/TREAL_ADD_LID_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div_0_l' 'h4/thm/integer/INT_DIV_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pos_pred_succ' 'h4/thm/ieee/num2ccode_ccode2num_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_inj_wd' 'h4/thm/DeepSyntax/deep_form_11_2'
0. 'coq/Coq_ZArith_BinInt_Z_ge_le_iff' 'h4/thm/string/string_gt_def_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_lt_mono_r' 'h4/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_ZArith_Zpow_facts_Zpower_gt_1'#@#variant 'h4/thm/extreal/lte_add_'#@#variant
0. 'coq/Coq_ZArith_Znat_Z2Nat_inj_lt'#@#variant 'h4/thm/float/FLOAT_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_glb_lt' 'h4/thm/divides/DIVIDES_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_max_distr' 'h4/thm/transc/EXP_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_1' 'h4/thm/transc/SQRT_0_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_mod' 'h4/thm/integer/INT_MOD_PLUS_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qplus_lt_r' 'h4/thm/rat/RAT_LES_LADD_'
0. 'coq/Coq_ZArith_BinInt_Z_shiftl_opp_r' 'h4/thm/rat/RAT_SUB_ADDAINV_'
0. 'coq/Coq_ZArith_Zorder_Zsucc_gt_compat' 'h4/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_cancel_l' 'h4/thm/hreal/HRAT_EQ_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_cancel_r' 'h4/thm/arithmetic/EQ_MONO_ADD_EQ_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_quot2' 'h4/thm/toto/num_dt_size_def_1'#@#variant
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_eq_not_lt' 'h4/thm/prim_rec/LESS_NOT_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_1_r' 'h4/thm/HolSmt/r214_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_opp_r' 'h4/thm/complex/complex_div_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_opp_diag_r' 'h4/thm/hreal/HRAT_MUL_RINV_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_r' 'h4/thm/arithmetic/LESS_MONO_MULT_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_pos_pos' 'h4/thm/integer/INT_LT_MUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_1_l'#@#variant 'h4/thm/HolSmt/r221_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_lt_mono_r' 'h4/thm/arithmetic/LT_ADD_RCANCEL_'
0. 'coq/Coq_Reals_RIneq_Ropp_involutive' 'h4/thm/integer/INT_REM_CALCULATE_2'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_negb_odd' 'h4/thm/numRing/num_ring_thms_e17'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_le_mono_r_iff'#@#variant 'h4/thm/integer/INT_LT_MONO_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_lt_mono_nonneg'#@#variant 'h4/thm/real/REAL_LT_MUL2_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_red' 'h4/thm/extreal/extreal_inv_def_e2'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mod_1_r'#@#variant 'h4/thm/arithmetic/MOD_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_le_mono' 'h4/thm/numeral/numeral_lte_e6'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_odd_1' 'h4/thm/ieee/Plus_zero_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_eq_mul_0_r' 'h4/thm/intExtension/INT_NOT0_MUL_'#@#variant
0. 'coq/Coq_ZArith_Znat_Zabs2N_id' 'h4/thm/frac/frac_bij_0'#@#variant
0. 'coq/Coq_Init_Peano_O_S' 'h4/thm/intto/BIT1_nz_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_sgn' 'h4/thm/numpair/npair_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_le_mono' 'h4/thm/transc/EXP_MONO_LE_'
0. 'coq/Coq_NArith_BinNat_N_square_spec' 'h4/thm/HolSmt/r216_'#@#variant
0. 'coq/Coq_QArith_Qminmax_Q_le_max_l' 'h4/thm/real/REAL_LE_MAX1_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_le_compat_l' 'h4/thm/integer/TINT_LT_ADD_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_opp_pred' 'h4/thm/complex/COMPLEX_EXP_NEG_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_le_max_l' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_succ_l' 'h4/thm/arithmetic/ADD_CLAUSES_2'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_of_N' 'h4/thm/realax/hreal_of_real_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_le_incl' 'h4/thm/rat/RAT_LES_IMP_LEQ_'
0. 'coq/Coq_ZArith_Zpower_two_power_nat_equiv'#@#variant 'h4/thm/util_prob/lg_pow_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_nonneg' 'h4/thm/integral/LT_0_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_asymm' 'h4/thm/realax/HREAL_LT_GT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_factor_l' 'h4/thm/arithmetic/LESS_EQ_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_total' 'h4/thm/real/REAL_LT_TOTAL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_l' 'h4/thm/realax/REAL_LT_IADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_divide_mul_l' 'h4/thm/integer/INT_DIVIDES_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_nonneg' 'h4/thm/transc/ATN_BOUNDS_0'#@#variant
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_eqke_refl'#@#variant 'h4/thm/sorting/PERM_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_succ_inj_wd' 'h4/thm/integral/EQ_SUC_'
0. 'coq/Coq_NArith_BinNat_N_succ_lt_mono' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_double' 'h4/thm/rat/RAT_AINV_CALCULATE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lcm_eq_0' 'h4/thm/intExtension/INT_NO_ZERODIV_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rlt_not_eq' 'h4/thm/prim_rec/LESS_NOT_EQ_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_le_mono' 'h4/thm/bit/TWOEXP_MONO2_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_succ'#@#variant 'h4/thm/hrat/HRAT_SUCINT_e1'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_cancel_l' 'h4/thm/real/REAL_EQ_LADD_'
0. 'coq/Coq_QArith_Qpower_Qpower_pos'#@#variant 'h4/thm/real/REAL_POW_LT_'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_lt' 'h4/thm/real/REAL_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lor_diag' 'h4/thm/gcd/GCD_REF_'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_one_neq_zero' 'h4/thm/toto/all_cpn_distinct_tRRL'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_mul_l' 'h4/thm/arithmetic/LESS_IMP_LESS_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lxor_eq_0_iff' 'h4/thm/rat/RAT_EQ_SUB0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_eq_0_gt_0_cases' 'h4/thm/arithmetic/LESS_0_CASES_'
0. 'coq/Coq_Reals_Rtrigo1_sin_pos_tech'#@#variant 'h4/thm/transc/COS_POS_PI2_LE_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pred_div2_up' 'h4/thm/toto/num_dt_size_def_e2'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lcm_1_l'#@#variant 'h4/thm/numeral/numeral_texp_help_0'
0. 'coq/Coq_NArith_BinNat_N_le_0_l' 'h4/thm/arithmetic/ZERO_LESS_EQ_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_le_mono_r' 'h4/thm/real/REAL_LE_SUB_CANCEL2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_lcm_r' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_lt_trans' 'h4/thm/real/REAL_LET_TRANS_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_1_l' 'h4/thm/HolSmt/r233_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_lt_mono_pos_r'#@#variant 'h4/thm/rat/RAT_LES_RMUL_POS_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rmult_opp_opp' 'h4/thm/extreal/neg_mul2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_setbit_spec_prime'#@#variant 'h4/thm/HolSmt/r224_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lcm_1_l'#@#variant 'h4/thm/numeral/texp_help_def_0'
0. 'coq/Coq_ZArith_Znat_Zabs2N_inj_pos' 'h4/thm/ieee/Exponent_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_succ_l' 'h4/thm/arithmetic/PRE_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_Zpos' 'h4/thm/extreal/extreal_le_def_0'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_nle' 'h4/thm/HolSmt/r096_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_bounded/0' 'h4/thm/extreal/lt_infty_0'
0. 'coq/Coq_ZArith_Zorder_Zplus_le_compat_r' 'h4/thm/extreal/le_radd_imp_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_divide_mono_r' 'h4/thm/hrat/TRAT_MUL_WELLDEFINED_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lcm_1_l'#@#variant 'h4/thm/numeral/texp_help_def_0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_1_r' 'h4/thm/integer/INT_SUB_REDUCE_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_pos_nonneg'#@#variant 'h4/thm/util_prob/REAL_LE_LT_MUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_succ_inj' 'h4/thm/divides/PRIMES_11_'
0. 'coq/Coq_Bool_Bool_negb_xorb_l' 'h4/thm/real/REAL_MUL_LNEG_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_nonneg_pos'#@#variant 'h4/thm/real/REAL_LET_ADD_'#@#variant
0. 'coq/Coq_Bool_Bool_diff_false_true' 'h4/thm/real/REAL_10_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_le_alt_dichotomy' 'h4/thm/integer/INT_LE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftl_opp_r' 'h4/thm/complex/complex_sub_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_pred_l' 'h4/thm/arithmetic/ADD_CLAUSES_2'
0. 'coq/Coq_ZArith_BinInt_Zopp_mult_distr_l' 'h4/thm/complex/COMPLEX_MUL_LNEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lnot_0_l' 'h4/thm/HolSmt/r221_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_le_refl' 'h4/thm/divides/DIVIDES_REFL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_pred' 'h4/thm/sptree/lrnext_thm_3'#@#variant
0. 'coq/Coq_ZArith_Znat_Zabs2N_inj_neg' 'h4/thm/realax/hreal_of_real_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_xO_r' 'h4/thm/real/REAL_MUL_RNEG_'
0. 'coq/Coq_Bool_Bool_negb_xorb_l' 'h4/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_add_lt_sub_r' 'h4/thm/real/REAL_LT_ADD_SUB_'
0. 'coq/Coq_QArith_QArith_base_Qplus_0_l'#@#variant 'h4/thm/integer/TINT_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pos_pred_succ' 'h4/thm/string/CHR_ORD_'
0. 'coq/Coq_ZArith_BinInt_Z_opp_succ' 'h4/thm/numeral/iDUB_removal_0'
0. 'coq/Coq_Arith_PeanoNat_Nat_div2_double'#@#variant 'h4/thm/prim_rec/PRE_e1'
0. 'coq/Coq_ZArith_BinInt_Z_log2_le_mono' 'h4/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_succ_le_mono' 'h4/thm/numpair/tri_LE_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_lt_mono_l' 'h4/thm/hreal/HRAT_LT_LADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_le_mono' 'h4/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_omega_OmegaLemmas_Zred_factor0' 'h4/thm/HolSmt/r080_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lor_nonneg' 'h4/thm/arithmetic/ZERO_LESS_MULT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_0_sub'#@#variant 'h4/thm/extreal/sub_zero_le_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lt_1_mul_pos'#@#variant 'h4/thm/arithmetic/ONE_LT_MULT_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_lub_iff' 'h4/thm/arithmetic/MAX_LT_e1'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pos_pred_succ' 'h4/thm/ASCIInumbers/toNum_toString_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_eqb' 'h4/thm/toto/qk_numOrd_def_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pred_le_mono' 'h4/thm/bit/TWOEXP_MONO2_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_gt_lt_iff' 'h4/thm/pred_set/COUNT_applied_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_nonneg_r'#@#variant 'h4/thm/real/REAL_LE_RMUL_IMP_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_1_r' 'h4/thm/arithmetic/DIV2_def_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_1_r' 'h4/thm/HolSmt/r223_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_refl' 'h4/thm/divides/DIVIDES_REFL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sub_le_mono_r' 'h4/thm/arithmetic/LESS_MONO_ADD_'
0. 'coq/Coq_QArith_QArith_base_Qeq_refl' 'h4/thm/hrat/TRAT_EQ_REFL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_pow_0_l'#@#variant 'h4/thm/arithmetic/ZERO_DIV_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_sqrt' 'h4/thm/quote/index_size_def_0'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_id' 'h4/thm/ieee/num2ccode_ccode2num_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_divide_lcm_r' 'h4/thm/hreal/HRAT_LT_ADDR_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div_1_r' 'h4/thm/extreal/sub_rzero_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_cancel_r' 'h4/thm/arithmetic/EQ_ADD_RCANCEL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_min_lt_iff' 'h4/thm/arithmetic/MIN_LE_0'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_sub_add' 'h4/thm/hreal/HREAL_SUB_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_rem_opp_l_prime' 'h4/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_QArith_QOrderedType_QOrder_le_eq' 'h4/thm/extreal/lte_trans_'
0. 'coq/Coq_Arith_PeanoNat_Nat_neq_succ_0' 'h4/thm/toto/num_dt_distinct_1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_nlt_ge' 'h4/thm/extreal/extreal_lt_def_'
0. 'coq/Coq_Arith_PeanoNat_Nat_neq_0_lt_0'#@#variant 'h4/thm/extreal/lt_infty_e6'#@#variant
0. 'coq/Coq_Reals_R_sqr_Rsqr_eq_0' 'h4/thm/intExtension/INT_NOT0_SGNNOT0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_rem_small'#@#variant 'h4/thm/integer/INT_LESS_MOD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_neq' 'h4/thm/intExtension/INT_ABS_CALCULATE_NEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_1_mul_pos'#@#variant 'h4/thm/extreal/let_mul_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_lteq' 'h4/thm/rat/rat_leq_def_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_le' 'h4/thm/real/REAL_LE_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_mul_l' 'h4/thm/integer/INT_DIVIDES_LMUL_'
0. 'coq/Coq_Reals_Raxioms_Rlt_asym' 'h4/thm/real/REAL_LT_GT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_cancel_l' 'h4/thm/integer/EQ_LADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_lor'#@#variant 'h4/thm/transc/LN_DIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_neq' 'h4/thm/integral/LT_LE_'
0. 'coq/Coq_ZArith_Znat_Zabs2Nat_inj_pos' 'h4/thm/realax/hreal_of_real_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qmult_lt_l'#@#variant 'h4/thm/int_arith/justify_divides_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_le_mono_r' 'h4/thm/arithmetic/LESS_MONO_ADD_EQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pos_pred_spec' 'h4/thm/integerRing/int_ring_thms_e17'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lcm_eq_0' 'h4/thm/real/REAL_ENTIRE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_pos_l'#@#variant 'h4/thm/arithmetic/EXP_BASE_LE_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_pred_l' 'h4/thm/rat/RAT_AINV_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_add_cancel_r' 'h4/thm/divides/DIVIDES_ADD_2_'
0. 'coq/Coq_Reals_Rtrigo_calc_cos_PI3'#@#variant 'h4/thm/numeral/numeral_fact_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_pred' 'h4/thm/numRing/num_rewrites_tLRLRRRRRR'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_is_pos' 'h4/thm/extreal/lt_infty_0'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_abs_nat' 'h4/thm/complex/MODU_REAL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_lteq' 'h4/thm/integral/LE_LT_'
0. 'coq/Coq_Reals_Rtrigo1_cos_shift'#@#variant 'h4/thm/transc/SIN_COS_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_opp_r' 'h4/thm/real/REAL_NEG_RMUL_'
0. 'coq/Coq_Reals_RIneq_Rmult_le_reg_r'#@#variant 'h4/thm/float/REAL_LT_RCANCEL_IMP_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_add_lt_sub_r' 'h4/thm/arithmetic/SUB_LEFT_GREATER_EQ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_opp_r' 'h4/thm/HolSmt/r131_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lxor_nilpotent' 'h4/thm/arithmetic/SUB_EQUAL_0_'
0. 'coq/Coq_Reals_RIneq_Rle_refl' 'h4/thm/rat/RAT_EQUIV_REF_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_max_l' 'h4/thm/arithmetic/LESS_EQ_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_rem_opp_l_prime' 'h4/thm/complex/COMPLEX_NEG_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_1_l' 'h4/thm/integer/INT_MUL_LZERO_'
0. 'coq/Coq_Reals_RIneq_Rminus_diag_uniq' 'h4/thm/extreal/sub_0_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_l' 'h4/thm/real/REAL_LT_IADD_'
0. 'coq/Coq_PArith_BinPos_Pos_mul_cancel_l' 'h4/thm/realax/HREAL_EQ_LADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_rem_1_l'#@#variant 'h4/thm/transc/ONE_RPOW_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_succ' 'h4/thm/prim_rec/PRE_e1'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_pos'#@#variant 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_PArith_BinPos_Pos_mul_le_mono_l' 'h4/thm/rat/RAT_LES_LADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_le_mono_r' 'h4/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_add_le_sub_r' 'h4/thm/integer/INT_LE_SUB_LADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_lub_lt_iff' 'h4/thm/arithmetic/MAX_LE_e1'
0. 'coq/Coq_QArith_Qminmax_Q_le_min_l' 'h4/thm/extreal/min_le1_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_alt_dichotomy' 'h4/thm/integer/INT_LE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_0_discr' 'h4/thm/bit/TWOEXP_NOT_ZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_max_l' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_lt_mono_l' 'h4/thm/real/REAL_LT_LADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div_1_r' 'h4/thm/HolSmt/r127_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sub_min_distr_l' 'h4/thm/transc/RPOW_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_le_mono' 'h4/thm/rat/RAT_LES_AINV_'
0. 'coq/Coq_NArith_BinNat_N_sqrt_le_mono' 'h4/thm/bit/TWOEXP_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_cancel_r' 'h4/thm/arithmetic/EQ_ADD_RCANCEL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_eq_mul_0_r' 'h4/thm/intExtension/INT_NOT0_MUL_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_eq_cases' 'h4/thm/integral/LE_LT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_inj_wd' 'h4/thm/prim_rec/INV_SUC_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_lt_mono_r' 'h4/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_le_mono_l' 'h4/thm/integer/LT_LADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_le_mono_l' 'h4/thm/real/REAL_LT_LADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_nonneg' 'h4/thm/transc/ATN_BOUNDS_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_nge' 'h4/thm/integer/INT_NOT_LT_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_lt_mono_l' 'h4/thm/arithmetic/LE_ADD_LCANCEL_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_log2_2' 'h4/thm/real/REAL_THIRDS_BETWEEN_e4'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gt_lt_iff' 'h4/thm/real/real_gt_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_succ_r' 'h4/thm/complex/COMPLEX_NEG_RDIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_le_iff' 'h4/thm/real/REAL_LE_MAX_'
0. 'coq/Coq_ZArith_Znat_positive_N_nat' 'h4/thm/rat/rat_sgn_def_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_lt_mono_r' 'h4/thm/arithmetic/LE_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_le_compat_r' 'h4/thm/hrat/TRAT_ADD_WELLDEFINED_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_log2_1' 'h4/thm/real/REAL_THIRDS_BETWEEN_e4'#@#variant
0. 'coq/Coq_Reals_RIneq_Rmult_integral_contrapositive_currified' 'h4/thm/extreal/add_not_infty_0'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_is_nonneg'#@#variant 'h4/thm/complex/MODU_POS_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_xO_r' 'h4/thm/complex/COMPLEX_MUL_RNEG_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_pos_neg'#@#variant 'h4/thm/extreal/mul_lte_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_inj_wd' 'h4/thm/numRing/num_rewrites_tRRRRRRRLR'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_succ_lt_mono' 'h4/thm/numeral/numeral_lte_e6'
0. 'coq/Coq_ZArith_Zmin_Zpos_min_1'#@#variant 'h4/thm/extreal/extreal_add_def_5'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pred_succ' 'h4/thm/bit/LOG2_TWOEXP_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_lt_mono_r' 'h4/thm/real/REAL_LE_SUB_CANCEL2_'
0. 'coq/Coq_Reals_RIneq_cond_pos' 'h4/thm/realax/REAL_POS_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_lt' 'h4/thm/string/char_le_def_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_log2' 'h4/thm/complex/COMPLEX_OF_REAL_NEG_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_refl' 'h4/thm/rat/RAT_EQUIV_REF_'
0. 'coq/Coq_Reals_RIneq_Ropp_Ropp_IZR' 'h4/thm/extreal/extreal_inv_def_e2'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_neq_0_succ' 'h4/thm/quote/index_distinct_1'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_pred_succ' 'h4/thm/numpair/invtri_linverse_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_iff' 'h4/thm/ieee/ccode2num_11_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_compare_xO_xO' 'h4/thm/toto/num_dtOrd_e8'
0. 'coq/Coq_NArith_BinNat_N_lt_ge_cases' 'h4/thm/real/REAL_LTE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_le_mono' 'h4/thm/integerRing/int_rewrites_tLRRRLRRR'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_pred_of_succ_nat' 'h4/thm/integerRing/int_ring_thms_e17'#@#variant
0. 'coq/Coq_Reals_SeqProp_CV_mult' 'h4/thm/seq/SEQ_ADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_of_pos' 'h4/thm/complex/MODU_NUM_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_lt_iff' 'h4/thm/extreal/min_le_'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_lt_total' 'h4/thm/hreal/HREAL_LT_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_pos_l'#@#variant 'h4/thm/arithmetic/EXP_BASE_LT_MONO_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lxor_m1_l'#@#variant 'h4/thm/rat/RAT_SUB_LID_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_le_max_r' 'h4/thm/real/REAL_LE_MAX2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_lt_iff' 'h4/thm/arithmetic/MIN_LE_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lxor_eq' 'h4/thm/extreal/sub_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_le_mono' 'h4/thm/divides/LT_PRIMES_'
0. 'coq/Coq_Sets_Uniset_seq_refl' 'h4/thm/sorting/PERM_SINGLE_SWAP_REFL_'
0. 'coq/Coq_NArith_BinNat_N_setbit_spec_prime'#@#variant 'h4/thm/rat/RAT_SUB_ADDAINV_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_pos_nonneg'#@#variant 'h4/thm/extreal/let_mul_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_gcd_diag' 'h4/thm/arithmetic/MIN_IDEM_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_succ_diag_r' 'h4/thm/prim_rec/LESS_SUC_REFL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_max_distr_l' 'h4/thm/arithmetic/EXP_ADD_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_invc' 'h4/thm/toto/num_dt_size_def_1'#@#variant
0. 'coq/Coq_Reals_RIneq_Rgt_not_eq' 'h4/thm/integer/INT_LT_IMP_NE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lnot_0_l' 'h4/thm/extreal/sub_lzero_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_succ_r' 'h4/thm/arithmetic/ADD_CLAUSES_e3'
0. 'coq/Coq_ZArith_BinInt_Z_lxor_eq_0_iff' 'h4/thm/real/REAL_SUB_0_'#@#variant
0. 'coq/Coq_QArith_Qcanon_Q_apart_0_1'#@#variant 'h4/thm/toto/all_cpn_distinct_tLL'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_gt_lt_iff' 'h4/thm/integer/int_gt_'
0. 'coq/Coq_Reals_Rfunctions_pow_O' 'h4/thm/extreal/pow_0_'#@#variant
0. 'coq/__constr_Coq_Init_Wf_Acc_0_1' 'h4/thm/relation/WFP_RULES_'
0. 'coq/Coq_Bool_Bool_eqb_refl' 'h4/thm/real/REAL_LE_SQUARE_'#@#variant
0. 'coq/Coq_QArith_Qminmax_Q_max_lub_lt_iff' 'h4/thm/util_prob/MAX_LE_X_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_inj_l' 'h4/thm/integer/INT_EQ_RMUL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_Odd_succ' 'h4/thm/binary_ieee/exp_ge2_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_le_sub_le_add_r' 'h4/thm/integer/INT_LE_SUB_LADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_lt_mono_l' 'h4/thm/arithmetic/LT_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_le_compat_l' 'h4/thm/integer/TINT_LT_ADD_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_lt_mono_l' 'h4/thm/arithmetic/ADD_MONO_LESS_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_lt_mono_pos_r'#@#variant 'h4/thm/rat/RAT_LES_RMUL_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_shuffle3' 'h4/thm/HolSmt/r220_'
0. 'coq/Coq_NArith_BinNat_N_log2_up_le_mono' 'h4/thm/prim_rec/LESS_MONO_'
0. 'coq/Coq_ZArith_Znumtheory_not_prime_1'#@#variant 'h4/thm/divides/NOT_PRIME_0_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_1_r' 'h4/thm/arithmetic/ADD1_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_pred_l' 'h4/thm/numpair/nfst_le_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_glb_lt' 'h4/thm/divides/DIVIDES_ADD_1_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_succ_inj_wd' 'h4/thm/numeral/numeral_eq_6'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_succ_r' 'h4/thm/integer/INT_NEG_RMUL_'
0. 'coq/Coq_Init_Peano_le_pred' 'h4/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_ZArith_Zlogarithm_log_inf_correct1'#@#variant 'h4/thm/integer/INT_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_0_r'#@#variant 'h4/thm/arithmetic/EXP_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_1' 'h4/thm/extreal/neg_0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_lt_mono_r'#@#variant 'h4/thm/logroot/ROOT_LE_MONO_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_lt_iff' 'h4/thm/extreal/le_max_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_even_1' 'h4/thm/float/FLOAT_INFINITIES_SIGNED_e1'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_max_lub_lt' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_e2'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_testbit_even_0'#@#variant 'h4/thm/toto/numeralOrd_3'
0. 'coq/Coq_Arith_PeanoNat_Nat_succ_inj_wd' 'h4/thm/quote/index_11_e1'
0. 'coq/Coq_Reals_RIneq_Ropp_mult_distr_r' 'h4/thm/frac/FRAC_AINV_RMUL_'
0. 'coq/Coq_ZArith_Znat_Zabs2Nat_id' 'h4/thm/ieee/float_tybij_0'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_add_lt_sub_r' 'h4/thm/rat/RAT_RSUB_LES_'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_iff' 'h4/thm/integer/INT_REM_CALCULATE_3'
0. 'coq/Coq_Structures_OrderedTypeEx_Z_as_OT_lt_not_eq' 'h4/thm/prim_rec/LESS_NOT_EQ_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pred_le_mono' 'h4/thm/bit/TWOEXP_MONO_'#@#variant
0. 'coq/Coq_QArith_Qminmax_Q_min_glb_iff' 'h4/thm/arithmetic/MIN_LT_e1'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_opp_neg' 'h4/thm/frac/frac_sgn_def_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_lcm_r' 'h4/thm/real/REAL_LE_MAX2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_sub_le_add_l' 'h4/thm/arithmetic/SUB_RIGHT_GREATER_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_opp' 'h4/thm/numeral/numeral_distrib_16'
0. 'coq/Coq_Reals_SeqProp_CV_minus' 'h4/thm/seq/SEQ_MUL_'
0. 'coq/Coq_Reals_Rtrigo_def_cos_sym' 'h4/thm/numeral/numeral_add_12'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_double'#@#variant 'h4/thm/util_prob/lg_inv_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_min_le_compat_r' 'h4/thm/integer/TINT_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div_same'#@#variant 'h4/thm/real/REAL_DIV_REFL_'#@#variant
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_eq_not_lt' 'h4/thm/hreal/HRAT_LT_NE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lxor_m1_l'#@#variant 'h4/thm/HolSmt/r221_'#@#variant
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_pred' 'h4/thm/extreal/extreal_ainv_def_e2'
0. 'coq/Coq_NArith_BinNat_N_shiftr_div_pow2'#@#variant 'h4/thm/HolSmt/r224_'#@#variant
0. 'coq/__constr_Coq_Sets_Finite_sets_Finite_0_1' 'h4/thm/patricia/EMPTY_IS_PTREE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_succ_l' 'h4/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_nge' 'h4/thm/arithmetic/NOT_LESS_'
0. 'coq/Coq_Classes_Morphisms_subrelation_refl' 'h4/thm/rich_list/IS_PREFIX_REFL_'
0. 'coq/Coq_NArith_BinNat_N_lt_asymm' 'h4/thm/real/REAL_LT_GT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_refl' 'h4/thm/realax/TREAL_EQ_REFL_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_succ_le_mono' 'h4/thm/integerRing/int_rewrites_tLRRRLRRRR'
0. 'coq/Coq_ZArith_BinInt_Z_mul_divide_mono_l' 'h4/thm/real/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_cancel_l' 'h4/thm/real/REAL_EQ_LADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_le_mono_l' 'h4/thm/hreal/HRAT_LT_LADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lnot_ones' 'h4/thm/integer/INT_ADD_LINV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lxor_lnot_lnot' 'h4/thm/integer/INT_NEG_MUL2_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_gt_lt_iff' 'h4/thm/string/string_gt_def_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_lt_mono' 'h4/thm/numeral/numeral_lte_3'
0. 'coq/Coq_ZArith_BinInt_Z_opp_succ' 'h4/thm/numRing/num_rewrites_tLRLRRR'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_cancel_l' 'h4/thm/complex/COMPLEX_EQ_LADD_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_le' 'h4/thm/string/char_le_def_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftr_opp_r' 'h4/thm/HolSmt/r224_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lt_le_incl' 'h4/thm/rat/RAT_LES_IMP_LEQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_lnot_diag'#@#variant 'h4/thm/hreal/HRAT_MUL_RINV_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div_1_r' 'h4/thm/HolSmt/r223_'
0. 'coq/Coq_Reals_Raxioms_Rplus_opp_r' 'h4/thm/real/REAL_ADD_RINV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_0_discr' 'h4/thm/toto/num_dt_distinct_1'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_refl' 'h4/thm/integer/INT_DIVIDES_REFL_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_is_pos'#@#variant 'h4/thm/complex/MODU_POS_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_lcm_l' 'h4/thm/hreal/HRAT_LT_ADDL_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_divide' 'h4/thm/integer/INT_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_cancel_l' 'h4/thm/hreal/HRAT_EQ_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_divide_xO_xO' 'h4/thm/integerRing/int_rewrites_tLRRRRLRRR'
0. 'coq/Coq_Sets_Powerset_Empty_set_minimal' 'h4/thm/rich_list/IS_PREFIX_NIL_0'
0. 'coq/Coq_ZArith_Zeven_Zquot2_opp' 'h4/thm/DeepSyntax/neginf_def_2'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_neq_succ_0' 'h4/thm/toto/num_dt_distinct_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_nonneg' 'h4/thm/transc/ATN_0'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_double'#@#variant 'h4/thm/util_prob/neg_lg_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_quot_1_r' 'h4/thm/integer/INT_ADD_CALCULATE_1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_pos'#@#variant 'h4/thm/transc/LN_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_0_l' 'h4/thm/numeral/texp_help_def_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_sub_le_add_r' 'h4/thm/real/REAL_LE_SUB_RADD_'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_iff' 'h4/thm/integer/INT_QUOT_CALCULATE_2'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_cancel_r' 'h4/thm/real/REAL_EQ_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_nle_gt' 'h4/thm/rat/RAT_LES_LEQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_irrefl' 'h4/thm/realax/HREAL_LT_REFL_'
0. 'coq/Coq_Reals_Rminmax_R_minus_max_distr_l' 'h4/thm/transc/RPOW_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftl_opp_r' 'h4/thm/complex/complex_div_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_succ_r' 'h4/thm/real/REAL_MUL_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div2_nonneg'#@#variant 'h4/thm/numeral/numeral_distrib_33'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_max_l' 'h4/thm/arithmetic/LESS_EQ_ADD_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_square' 'h4/thm/extreal/extreal_inv_def_e2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_diag' 'h4/thm/integer/INT_SUB_REFL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lt_nge' 'h4/thm/rat/RAT_LEQ_LES_'
0. 'coq/Coq_PArith_BinPos_Pos_min_le_compat_r' 'h4/thm/hrat/TRAT_ADD_WELLDEFINED_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_square_nonneg'#@#variant 'h4/thm/real/REAL_LE_SQUARE_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lxor_comm' 'h4/thm/hrat/TRAT_MUL_SYM_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_add_r'#@#variant 'h4/thm/util_prob/logr_mul_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_nonneg_pos'#@#variant 'h4/thm/integer/INT_LET_ADD_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_pos_nonneg'#@#variant 'h4/thm/arithmetic/ONE_LT_MULT_IMP_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_negb_odd' 'h4/thm/integerRing/int_ring_thms_e17'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_le_mono' 'h4/thm/integerRing/int_rewrites_tLRRRRLRRR'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_succ_diag_r' 'h4/thm/prim_rec/LESS_SUC_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_compare_succ_succ' 'h4/thm/toto/num_dtOrd_7'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_le_compat_l' 'h4/thm/real/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_le_mono' 'h4/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_double'#@#variant 'h4/thm/extreal/extreal_abs_def_0'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_succ_discr' 'h4/thm/prim_rec/SUC_ID_'
0. 'coq/Coq_Reals_RIneq_Ropp_involutive' 'h4/thm/integer/INT_MUL_CALCULATE_e3'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_le_mono' 'h4/thm/integerRing/int_rewrites_tLRRRLRRRR'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_le_compat_r' 'h4/thm/hrat/TRAT_MUL_WELLDEFINED_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_le_mono_r' 'h4/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_Reals_Rminmax_R_min_le_compat_l' 'h4/thm/real/REAL_LT_IADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lcm_1_l' 'h4/thm/HolSmt/r213_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_eq_cases' 'h4/thm/integral/LE_LT_'
0. 'coq/Coq_Reals_Rbasic_fun_Rle_abs' 'h4/thm/real/REAL_POS_INFLATE_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lnot_0_l' 'h4/thm/HolSmt/r221_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rmult_eq_reg_r' 'h4/thm/real/REAL_EQ_RMUL_IMP_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_min_distr' 'h4/thm/transc/EXP_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_succ_le_mono' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Reals_RIneq_Rplus_lt_compat_r' 'h4/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sub_succ' 'h4/thm/complex/COMPLEX_NEG_MUL2_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftl_1_l'#@#variant 'h4/thm/integer/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_antisym' 'h4/thm/rat/RAT_LEQ_ANTISYM_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_max_l' 'h4/thm/realax/HREAL_LT_ADDL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_succ_l' 'h4/thm/integer/INT_MUL_CALCULATE_1'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_id' 'h4/thm/arithmetic/MIN_IDEM_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lcm_divide_iff' 'h4/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div_0_l' 'h4/thm/integer/INT_QUOT_0_'#@#variant
0. 'coq/Coq_Reals_ROrderedType_ROrder_lt_irrefl' 'h4/thm/string/string_lt_nonrefl_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_eq_0' 'h4/thm/rat/RAT_NO_ZERODIV_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_le_incl' 'h4/thm/extreal/lt_imp_le_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_sub_swap' 'h4/thm/int_arith/move_sub_'
0. 'coq/Coq_ZArith_Zpow_facts_Zpower_gt_1'#@#variant 'h4/thm/util_prob/REAL_LE_LT_MUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_nonneg' 'h4/thm/integral/LT_0_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_add_r' 'h4/thm/extreal/le_max1_'
0. 'coq/Coq_Lists_List_hd_error_cons' 'h4/thm/llist/LHDTL_CONS_THM_0'
0. 'coq/Coq_Arith_EqNat_eq_eq_nat' 'h4/thm/HolSmt/t006_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_succ_inj_wd' 'h4/thm/integral/EQ_SUC_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_lub_iff' 'h4/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_involutive' 'h4/thm/integer/INT_REM_CALCULATE_2'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_lcm_r' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_1'
0. 'coq/Coq_QArith_QArith_base_Qlt_minus_iff'#@#variant 'h4/thm/int_arith/le_move_all_right_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_involutive' 'h4/thm/rat/RAT_AINV_AINV_'
0. 'coq/Coq_Reals_Rtrigo1_tan_neg' 'h4/thm/transc/TAN_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_quot_1_r' 'h4/thm/HolSmt/r223_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_nle_gt' 'h4/thm/HolSmt/r115_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_eq_opp_r' 'h4/thm/complex/CONJ_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_gt_lt_iff' 'h4/thm/integer/int_gt_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_opp_r' 'h4/thm/extreal/extreal_sub_add_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_inj_l' 'h4/thm/real/REAL_EQ_RMUL_IMP_'#@#variant
0. 'coq/Coq_Reals_Rpower_arcsinh_sinh' 'h4/thm/numRing/num_rewrites_tLLRRRR'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_lt_mono' 'h4/thm/extreal/le_neg_'
0. 'coq/Coq_ZArith_BinInt_Zplus_succ_r_reverse' 'h4/thm/arithmetic/ADD_CLAUSES_e3'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_add_lt_sub_r' 'h4/thm/integer/INT_LT_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_lt_trans' 'h4/thm/real/REAL_LET_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_nonneg'#@#variant 'h4/thm/integer/INT_NEG_GT0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_lt_mono_r' 'h4/thm/integer/INT_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_refl' 'h4/thm/integer/INT_LE_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_1_l' 'h4/thm/HolSmt/r079_'
0. 'coq/Coq_Bool_Bool_negb_involutive' 'h4/thm/integer/INT_REM_CALCULATE_2'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_pos_l'#@#variant 'h4/thm/transc/RPOW_POS_LT_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_le_min_l' 'h4/thm/real/REAL_MIN_LE1_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_quot_1_r' 'h4/thm/rat/RAT_SUB_RID_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_neq_mul_0' 'h4/thm/rat/RAT_NO_ZERODIV_NEG_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_involutive' 'h4/thm/integer/INT_MUL_CALCULATE_e3'
0. 'coq/Coq_NArith_BinNat_N_lt_lt_add_r' 'h4/thm/integer/INT_DIVIDES_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_add_lt_sub_r' 'h4/thm/integer/INT_LT_ADD_SUB_'
0. 'coq/Coq_Numbers_Cyclic_DoubleCyclic_DoubleBase_lt_0_wB'#@#variant 'h4/thm/extreal/lt_infty_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_lt_mono_r' 'h4/thm/arithmetic/LE_ADD_RCANCEL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lxor_nilpotent' 'h4/thm/real/REAL_SUB_REFL_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zplus_gt_compat_r' 'h4/thm/integer/TINT_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_le_min_r' 'h4/thm/real/REAL_MIN_LE2_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_nlt' 'h4/thm/rat/RAT_LEQ_LES_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_divide_xO_xO' 'h4/thm/numeral/numeral_distrib_22'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_le_compat_r' 'h4/thm/integer/TINT_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lxor_eq_0_iff' 'h4/thm/rat/RAT_EQ_SUB0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_opp_r' 'h4/thm/integer/int_sub_'
0. 'coq/Coq_Reals_Ratan_atan_opp' 'h4/thm/DeepSyntax/neginf_def_2'
0. 'coq/Coq_Reals_Rfunctions_Rpow_mult_distr' 'h4/thm/complex/COMPLEX_POW_MUL_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_succ_inj_wd' 'h4/thm/complex/COMPLEX_INV_INJ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_move_r' 'h4/thm/real/REAL_EQ_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_eq_opp_l' 'h4/thm/complex/CONJ_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_nonneg'#@#variant 'h4/thm/real/REAL_LT_MUL2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ge_le_iff' 'h4/thm/string/string_ge_def_'#@#variant
0. 'coq/Coq_Bool_Bool_andb_true_iff' 'h4/thm/arithmetic/ADD_EQ_0_'
0. 'coq/Coq_ZArith_BinInt_Z2Pos_inj_sqrt' 'h4/thm/quote/index_size_def_0'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_divide_xO_xO' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_le_mono_l' 'h4/thm/integer/INT_LE_LADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_0_r' 'h4/thm/integer/INT_DIVIDES_0_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_r' 'h4/thm/hrat/TRAT_MUL_WELLDEFINED_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_lt_1_2' 'h4/thm/transc/PI2_BOUNDS_e1'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftr_div_pow2'#@#variant 'h4/thm/real/real_div_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_mul_l' 'h4/thm/integer/INT_DIVIDES_LMUL_'
0. 'coq/Coq_Reals_Rtrigo1_sin_plus' 'h4/thm/transc/SIN_ADD_'
0. 'coq/Coq_Numbers_Cyclic_ZModulo_ZModulo_Ptail_pos'#@#variant 'h4/thm/extreal/lt_infty_0'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_add_pos_l'#@#variant 'h4/thm/arithmetic/X_LT_EXP_X_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_divide_1_l'#@#variant 'h4/thm/extreal/le_infty_tLL'
0. 'coq/Coq_ZArith_Zorder_Zle_0_nat'#@#variant 'h4/thm/extreal/lt_infty_0'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_asymm' 'h4/thm/integer/INT_LT_ANTISYM_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_pred_l' 'h4/thm/numpair/nfst_le_'
0. 'coq/Coq_ZArith_BinInt_Z_lcm_1_l' 'h4/thm/real/REAL_SUB_LZERO_'
0. 'coq/Coq_NArith_BinNat_N_divide_sub_r' 'h4/thm/divides/DIVIDES_SUB_'
0. 'coq/Coq_PArith_BinPos_Pos_le_nlt' 'h4/thm/HolSmt/r096_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_lub_iff' 'h4/thm/arithmetic/MAX_LT_e1'
0. 'coq/Coq_NArith_BinNat_N_gcd_0_r_nonneg'#@#variant 'h4/thm/transc/RPOW_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftr_opp_r' 'h4/thm/integer/int_sub_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_add_r' 'h4/thm/divides/DIVIDES_ADD_1_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_pos'#@#variant 'h4/thm/numeral/numeral_distrib_33'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_le_mono' 'h4/thm/bit/TWOEXP_MONO2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_0_r' 'h4/thm/arithmetic/DIV2_def_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_le_mono' 'h4/thm/bit/TWOEXP_MONO2_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_gcd_sub_diag_r' 'h4/thm/gcd/GCD_ADD_R_THM_e1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_le_succ_r' 'h4/thm/prim_rec/LESS_SUC_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_lt_iff' 'h4/thm/real/REAL_MIN_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_cancel_r' 'h4/thm/arithmetic/EQ_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_sub_assoc' 'h4/thm/arithmetic/LESS_EQ_ADD_SUB_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_trichotomy' 'h4/thm/rat/RAT_LES_TOTAL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_0_r'#@#variant 'h4/thm/integer/INT_MOD_1_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_succ_l' 'h4/thm/rat/RAT_AINV_LMUL_'
0. 'coq/Coq_ZArith_BinInt_Z_add_lnot_diag'#@#variant 'h4/thm/real/REAL_ADD_RINV_'#@#variant
0. 'coq/Coq_Arith_Factorial_fact_neq_0' 'h4/thm/toto/num_dt_distinct_1'
0. 'coq/Coq_PArith_BinPos_Pos_lt_total' 'h4/thm/integer/INT_LT_TOTAL_'
0. 'coq/Coq_QArith_QOrderedType_QOrder_le_refl' 'h4/thm/realax/TREAL_EQ_REFL_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_nonneg_nonneg' 'h4/thm/realax/TREAL_LT_MUL_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_compare_xO_xO' 'h4/thm/toto/numeralOrd_5'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_succ_le_mono' 'h4/thm/arithmetic/LESS_MONO_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gt_lt_iff' 'h4/thm/rat/rat_geq_def_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_Even_succ' 'h4/thm/binary_ieee/exp_ge2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_inj_wd' 'h4/thm/integer/INT_EQ_NEG_'
0. 'coq/Coq_Reals_Rtrigo1_sin_PI_x' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRLRRRR'
0. 'coq/Coq_ZArith_BinInt_Z_lnot_involutive' 'h4/thm/integerRing/int_calculate_12'
0. 'coq/Coq_ZArith_Zlogarithm_Zlog2_log_inf' 'h4/thm/integerRing/int_ring_thms_e17'#@#variant
0. 'coq/Coq_Reals_ROrderedType_ROrder_le_lt_trans' 'h4/thm/integer/INT_LET_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_lt_mono_r' 'h4/thm/arithmetic/LESS_EQ_MONO_ADD_EQ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_quot_str_pos'#@#variant 'h4/thm/bit/DIV_GT0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_simpl_r' 'h4/thm/arithmetic/ADD_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_le_incl' 'h4/thm/rat/RAT_LES_IMP_LEQ_'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_lt_mono_r_iff'#@#variant 'h4/thm/transc/RPOW_LE_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_of_Z' 'h4/thm/string/char_BIJ_0'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_le_neq' 'h4/thm/hreal/HRAT_LT_TOTAL_'
0. 'coq/Coq_ZArith_BinInt_Z_le_ngt' 'h4/thm/integer/INT_NOT_LT_'
0. 'coq/Coq_Structures_OrderedTypeEx_PositiveOrderedTypeBits_bits_lt_antirefl' 'h4/thm/rat/RAT_LES_REF_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_succ' 'h4/thm/transc/LN_EXP_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_pos'#@#variant 'h4/thm/integer/INT_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_pos'#@#variant 'h4/thm/real/ABS_NZ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_lxor_r' 'h4/thm/real/REAL_NEG_RMUL_'
0. 'coq/Coq_QArith_QArith_base_Qplus_le_l' 'h4/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_QArith_QArith_base_Qnot_lt_le' 'h4/thm/real/REAL_LET_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_Zpos' 'h4/thm/float/REAL_OF_NUM_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftl_1_l'#@#variant 'h4/thm/HolSmt/r129_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_neq' 'h4/thm/integral/LT_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftl_opp_r' 'h4/thm/HolSmt/r224_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_succ_inj' 'h4/thm/divides/PRIMES_11_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_bounded/0'#@#variant 'h4/thm/realax/REAL_POS_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_eq_mul_0' 'h4/thm/extreal/entire_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_sub_le_add_r' 'h4/thm/real/REAL_LT_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_odd_1' 'h4/thm/ieee/Minus_infinity_'#@#variant
0. 'coq/Coq_ZArith_Zgcd_alt_fibonacci_pos'#@#variant 'h4/thm/integer/INT_POS_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_even' 'h4/thm/hrat/hrat_sucint_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_divide_mul_l' 'h4/thm/arithmetic/LESS_IMP_LESS_ADD_'
0. 'coq/Coq_QArith_QArith_base_inject_Z_opp' 'h4/thm/extreal/extreal_ainv_def_e2'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftr_div_pow2'#@#variant 'h4/thm/extreal/extreal_sub_add_'
0. 'coq/Coq_NArith_BinNat_N_pos_pred_succ' 'h4/thm/integer/NUM_OF_INT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_max_l' 'h4/thm/real/REAL_LE_MAX1_'
0. 'coq/Coq_ZArith_Znat_N2Z_id' 'h4/thm/frac/frac_bij_0'#@#variant
0. 'coq/Coq_fourier_Fourier_util_Rnot_lt_lt'#@#variant 'h4/thm/extreal/sub_zero_lt_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_le_refl' 'h4/thm/poly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_le_mono' 'h4/thm/divides/LT_PRIMES_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_1_l' 'h4/thm/extreal/mul_lzero_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_lteq' 'h4/thm/arithmetic/GREATER_OR_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mod_mul' 'h4/thm/integer/INT_MOD_COMMON_FACTOR_'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_minus_one_neq_zero'#@#variant 'h4/thm/extreal/ne_01_'#@#variant
0. 'coq/Coq_ZArith_Zeven_Zeven_not_Zodd' 'h4/thm/float/FLOAT_DISTINCT_3'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_succ_r' 'h4/thm/complex/COMPLEX_NEG_RDIV_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_le_compat_l' 'h4/thm/real/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_ldiff_ldiff_l' 'h4/thm/arithmetic/SUB_RIGHT_SUB_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_le_mono_l' 'h4/thm/realax/HREAL_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_inj_l' 'h4/thm/real/REAL_EQ_RMUL_IMP_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_ldiff' 'h4/thm/real/REAL_SUB_LNEG_'
0. 'coq/Coq_Reals_RIneq_Ropp_involutive' 'h4/thm/integer/INT_DIV_CALCULATE_e4'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_lub_lt_iff' 'h4/thm/arithmetic/MAX_LE_e1'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_add_r' 'h4/thm/arithmetic/LESS_EQ_ADD_'
0. 'coq/Coq_Reals_Rfunctions_powerRZ_NOR' 'h4/thm/real/POW_ZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_null'#@#variant 'h4/thm/intExtension/INT_SGN_CLAUSES_e2'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_double_mul' 'h4/thm/integer/INT_MUL_CALCULATE_1'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_le_compat_r' 'h4/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Reals_Exp_prop_div2_double'#@#variant 'h4/thm/numRing/num_rewrites_tLLRRRR'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_le_mono_r_iff'#@#variant 'h4/thm/logroot/LE_EXP_ISO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_1' 'h4/thm/numeral_bit/NUMERAL_iDIV2_1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_pred_l' 'h4/thm/real/REAL_MUL_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftl_mul_pow2'#@#variant 'h4/thm/frac/frac_sub_def_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_succ_r' 'h4/thm/extreal/mul_rneg_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_le_max_l' 'h4/thm/real/REAL_LE_MAX1_'
0. 'coq/Coq_NArith_BinNat_N_eq_le_incl' 'h4/thm/real/REAL_EQ_IMP_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_le_compat_r' 'h4/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div_0_l' 'h4/thm/integer/INT_MOD0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_lteq' 'h4/thm/arithmetic/GREATER_OR_EQ_'
0. 'coq/Coq_ZArith_Znat_Zabs_N_nat' 'h4/thm/hrat/hrat_sucint_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ldiff_land' 'h4/thm/complex/complex_sub_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_nle' 'h4/thm/extreal/extreal_lt_def_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pred_succ' 'h4/thm/numpair/invtri_linverse_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_asymm' 'h4/thm/integer/INT_LT_GT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_refl' 'h4/thm/divides/DIVIDES_REFL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_wf_0' 'h4/thm/prim_rec/WF_LESS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div_pos'#@#variant 'h4/thm/extreal/let_mul_'#@#variant
0. 'coq/Coq_FSets_FSetPositive_PositiveSet_E_bits_lt_antirefl' 'h4/thm/prim_rec/LESS_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_nlt' 'h4/thm/real/real_lt_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_b2n_div2'#@#variant 'h4/thm/extreal/extreal_sub_def_e6'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_inj_wd' 'h4/thm/string/IMPLODE_11_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_add_r' 'h4/thm/realax/HREAL_LT_ADDL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_le_mono' 'h4/thm/bit/TWOEXP_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_setbit_spec_prime'#@#variant 'h4/thm/rat/RAT_SUB_ADDAINV_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_cancel_r' 'h4/thm/rat/RAT_EQ_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_diag' 'h4/thm/extreal/max_refl_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_divide_iff' 'h4/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_Arith_PeanoNat_Nat_min_glb_iff' 'h4/thm/arithmetic/MIN_LT_e1'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_trichotomy' 'h4/thm/hreal/HREAL_LT_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_le_mono' 'h4/thm/integerRing/int_rewrites_tLRRRLRRR'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_le_mono_pos_r' 'h4/thm/logroot/EXP_LE_ISO_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sub_add' 'h4/thm/arithmetic/SUB_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_eq_1'#@#variant 'h4/thm/arithmetic/MULT_EQ_1_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_le_mono_l' 'h4/thm/hreal/HRAT_LT_LMUL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_succ_diag_r' 'h4/thm/prim_rec/LESS_SUC_SUC_0'
0. 'coq/Coq_Arith_PeanoNat_Nat_clearbit_spec_prime'#@#variant 'h4/thm/HolSmt/r131_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_le_mono' 'h4/thm/numpair/tri_LT_I_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_ngt' 'h4/thm/integer/INT_NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_1_r' 'h4/thm/HolSmt/r080_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_divide_xO_xO' 'h4/thm/arithmetic/LESS_EQ_MONO_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_succ_l' 'h4/thm/arithmetic/ADD_CLAUSES_2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_le_mono_r' 'h4/thm/arithmetic/LESS_EQ_MONO_ADD_EQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gt_lt_iff' 'h4/thm/real/real_ge_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_le_mono' 'h4/thm/transc/EXP_MONO_IMP_'
0. 'coq/Coq_PArith_Pnat_Nat2Pos_inj_pred' 'h4/thm/quote/index_size_def_0'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_pos_r'#@#variant 'h4/thm/real/REAL_LT_RMUL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_succ' 'h4/thm/toto/num_dt_size_def_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_cancel_l' 'h4/thm/hreal/HRAT_EQ_LMUL_'
0. 'coq/Coq_ZArith_Znat_Zabs2Nat_inj_le'#@#variant 'h4/thm/float/FLOAT_GE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_0_l' 'h4/thm/integer/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_cancel_l' 'h4/thm/rat/RAT_EQ_LADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_eq_mul_0' 'h4/thm/intExtension/INT_NO_ZERODIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sub_1_r'#@#variant 'h4/thm/arithmetic/DIV2_def_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_le_antisymm' 'h4/thm/rat/RAT_LEQ_ANTISYM_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_ltb' 'h4/thm/intto/pos_pos_thm_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_Odd_succ' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRL'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_lub_lt' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_e2'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_compare' 'h4/thm/toto/charOrd_'
0. 'coq/Coq_NArith_BinNat_N_lt_nge' 'h4/thm/real/real_lte_'
0. 'coq/Coq_Arith_PeanoNat_Nat_even_sub' 'h4/thm/integer/INT_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_pos'#@#variant 'h4/thm/transc/EXP_LT_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pred_succ' 'h4/thm/bit/LOG2_TWOEXP_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ones_equiv'#@#variant 'h4/thm/numRing/num_rewrites_tLRLRR'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_add_diag_r' 'h4/thm/hreal/HRAT_LT_ADDL_'
0. 'coq/Coq_ZArith_Zquot_Z_rem_same' 'h4/thm/arithmetic/SUB_EQUAL_0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_opp_r' 'h4/thm/real/real_div_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_compare_succ' 'h4/thm/toto/num_dtOrd_7'
0. 'coq/Coq_ZArith_Zquot_Zquot_opp_opp' 'h4/thm/arithmetic/SUB_MONO_EQ_'
0. 'coq/Coq_Arith_Max_max_idempotent' 'h4/thm/extreal/min_refl_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_succ_r_prime' 'h4/thm/arithmetic/MULT_SUC_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_m1_0'#@#variant 'h4/thm/transc/PI2_BOUNDS_e1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_pos_nonneg'#@#variant 'h4/thm/arithmetic/ONE_LT_MULT_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_nle_gt' 'h4/thm/arithmetic/NOT_LESS_EQUAL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lxor_m1_l'#@#variant 'h4/thm/extreal/sub_lzero_'#@#variant
0. 'coq/Coq_Reals_ROrderedType_ROrder_lt_le_trans' 'h4/thm/rat/RAT_LES_LEQ_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_compare_lt_iff' 'h4/thm/quote/index_lt_def_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_1' 'h4/thm/transc/SIN_0_'
0. 'coq/Coq_Reals_Rpower_exp_ineq1'#@#variant 'h4/thm/transc/EXP_LE_X_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_lt_add_r' 'h4/thm/integer/INT_DIVIDES_MUL_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lnot_0_l' 'h4/thm/numeral/texp_help_def_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_1_r' 'h4/thm/integer/INT_ADD_REDUCE_1'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pred_succ' 'h4/thm/numeral/numeral_add_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_le_mono_r_iff'#@#variant 'h4/thm/transc/RPOW_LT_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_succ_not_1' 'h4/thm/toto/num_dt_distinct_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_succ_inj_wd' 'h4/thm/numeral/numeral_eq_6'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_lub_lt_iff' 'h4/thm/extreal/max_le_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ldiff_diag' 'h4/thm/rat/RAT_SUB_ID_'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_gt' 'h4/thm/real/REAL_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_1' 'h4/thm/extreal/neg_0_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_le_mono' 'h4/thm/transc/EXP_MONO_IMP_'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_one_neq_zero' 'h4/thm/toto/cpn_distinct_1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mod_1_l'#@#variant 'h4/thm/arithmetic/ZERO_MOD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lcm_diag' 'h4/thm/numeral/iSQR_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_neq' 'h4/thm/integer/INT_LT_LE_'
0. 'coq/Coq_ZArith_Znat_Zabs2N_inj_lt'#@#variant 'h4/thm/float/FLOAT_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_refl' 'h4/thm/real/REAL_LE_REFL_'
0. 'coq/Coq_Reals_Exp_prop_exp_pos_pos'#@#variant 'h4/thm/extreal/sqrt_pos_lt_'#@#variant
0. 'coq/Coq_ZArith_Zgcd_alt_fibonacci_pos'#@#variant 'h4/thm/real/POW_2_LE1_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pow_lt_mono_r_iff'#@#variant 'h4/thm/arithmetic/EXP_BASE_LE_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_opp' 'h4/thm/transc/COS_NEG_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_id' 'h4/thm/real/NUM_FLOOR_EQNS_0'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_gcd_divide_r' 'h4/thm/extreal/min_le2_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_total' 'h4/thm/realax/REAL_LT_TOTAL_'
0. 'coq/Coq_NArith_BinNat_N_lcm_1_r' 'h4/thm/rat/RAT_ADD_RID_'
0. 'coq/Coq_NArith_Nnat_N2Nat_id' 'h4/thm/pred_set/pair_to_num_inv_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_cancel_l' 'h4/thm/real/REAL_EQ_LADD_'
0. 'coq/Coq_QArith_QArith_base_Qmult_le_compat_r'#@#variant 'h4/thm/real/REAL_LT_RMUL_IMP_'#@#variant
0. 'coq/Coq_Arith_Minus_minus_diag_reverse' 'h4/thm/real/REAL_SUB_REFL_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_max_le_compat_r' 'h4/thm/integer/TINT_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_trichotomy' 'h4/thm/real/REAL_LT_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_nge' 'h4/thm/integer/INT_NOT_LE_'
0. 'coq/Coq_Reals_RIneq_Rnot_gt_ge' 'h4/thm/real/REAL_LTE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_lxor_r' 'h4/thm/integer/INT_MUL_CALCULATE_2'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_le_mono_l' 'h4/thm/integer/TINT_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_total' 'h4/thm/real/REAL_LT_TOTAL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_lt_mono_l' 'h4/thm/arithmetic/LT_ADD_LCANCEL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_1' 'h4/thm/real/ABS_0_'
0. 'coq/Coq_Reals_RIneq_Rmult_le_compat_l'#@#variant 'h4/thm/arithmetic/EXP_BASE_LEQ_MONO_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_lcm_l' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_0'
0. 'coq/Coq_ZArith_BinInt_Z_log2_double'#@#variant 'h4/thm/util_prob/lg_inv_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rmin_left' 'h4/thm/arithmetic/LESS_MOD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_r' 'h4/thm/arithmetic/LESS_MONO_MULT_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_square' 'h4/thm/toto/num_dt_size_def_e2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_xI_succ_xO' 'h4/thm/numeral/numeral_suc_1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_succ_l' 'h4/thm/rat/RAT_AINV_LMUL_'
0. 'coq/Coq_Reals_Rbasic_fun_Ropp_Rmax' 'h4/thm/complex/COMPLEX_EXP_SUB_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lcm_diag' 'h4/thm/arithmetic/MAX_IDEM_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_irrefl' 'h4/thm/integer/INT_LT_REFL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pow_lt_mono_r'#@#variant 'h4/thm/arithmetic/EXP_BASE_LEQ_MONO_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_refl' 'h4/thm/realax/TREAL_EQ_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_pred_double_spec' 'h4/thm/numeral/numeral_pre_e4'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_divide_mono_l' 'h4/thm/integer/INT_LT_LADD_IMP_'
0. 'coq/Coq_Reals_Exp_prop_exp_pos_pos'#@#variant 'h4/thm/real/REAL_LE_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_double_spec'#@#variant 'h4/thm/integer/INT_NEG_MINUS1_'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_lt' 'h4/thm/float/REAL_OF_NUM_LT_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_1_mul_pos'#@#variant 'h4/thm/arithmetic/ONE_LT_MULT_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_pow' 'h4/thm/integer/INT_MUL_CALCULATE_1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_divide_mono_r' 'h4/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_cancel_l' 'h4/thm/hreal/HRAT_EQ_LMUL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_lcm_l' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_pred_le' 'h4/thm/arithmetic/LESS_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_rem_mul' 'h4/thm/integer/INT_MOD_COMMON_FACTOR_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_succ_inj_wd' 'h4/thm/rat/RAT_EQ_AINV_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pred_succ' 'h4/thm/transc/LN_EXP_'
0. 'coq/Coq_ZArith_Znat_N2Z_id' 'h4/thm/complex/RE_COMPLEX_OF_REAL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_nonneg_nonneg' 'h4/thm/integer/TINT_LT_MUL_'#@#variant
0. 'coq/Coq_ZArith_Zeven_Zeven_not_Zodd' 'h4/thm/float/FLOAT_DISTINCT_e9'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_irrefl' 'h4/thm/string/string_lt_nonrefl_'#@#variant
0. 'coq/Coq_ZArith_Zpower_two_power_nat_S'#@#variant 'h4/thm/DeepSyntax/deep_form_size_def_2'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_eq_cases' 'h4/thm/integer/INT_LE_CALCULATE_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_cancel_l' 'h4/thm/integer/EQ_LADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_0_l' 'h4/thm/numeral/numeral_texp_help_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_lt_mono_r' 'h4/thm/real/REAL_LE_LMUL_IMP_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_0_l' 'h4/thm/divides/ONE_DIVIDES_ALL_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_succ_r' 'h4/thm/complex/COMPLEX_NEG_RDIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_sub_diag' 'h4/thm/arithmetic/SUB_EQUAL_0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_id' 'h4/thm/real/REAL_MAX_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_nonneg' 'h4/thm/transc/ATN_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_0_succ' 'h4/thm/integral/LT_0_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_pos_pos' 'h4/thm/realax/REAL_LT_MUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_pred' 'h4/thm/numeral/numeral_iisuc_e2'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lor_diag' 'h4/thm/arithmetic/MIN_IDEM_'
0. 'coq/Coq_Reals_RIneq_Rplus_lt_compat_r' 'h4/thm/hrat/TRAT_ADD_WELLDEFINED_'#@#variant
0. 'coq/Coq_Sets_Uniset_seq_refl' 'h4/thm/rich_list/IS_SUFFIX_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_double_spec'#@#variant 'h4/thm/integer/INT_NEG_MINUS1_'#@#variant
0. 'coq/Coq_QArith_Qminmax_Q_min_lt_iff' 'h4/thm/arithmetic/MIN_LE_0'
0. 'coq/Coq_ZArith_Znat_Zabs2Nat_inj_neg' 'h4/thm/hrat/hrat_sucint_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_le_mono_r' 'h4/thm/arithmetic/LESS_EQ_MONO_ADD_EQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_le_mono' 'h4/thm/integerRing/int_rewrites_tLRRRRLRRR'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ldiff_land' 'h4/thm/extreal/extreal_div_def_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_succ_not_1' 'h4/thm/intto/BIT2_nz_'
0. 'coq/Coq_ZArith_Zpower_two_power_nat_S'#@#variant 'h4/thm/quote/index_size_def_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_1_r' 'h4/thm/integer/INT_SUB_RZERO_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_succ_l' 'h4/thm/arithmetic/MULT_e1'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_setbit_spec_prime'#@#variant 'h4/thm/integer/INT_SUB_CALCULATE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_1_r'#@#variant 'h4/thm/arithmetic/PRE_SUB1_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_nonneg' 'h4/thm/arithmetic/FACT_LESS_'
0. 'coq/Coq_NArith_Ndist_ni_le_refl' 'h4/thm/divides/DIVIDES_REFL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_nonneg' 'h4/thm/prim_rec/LESS_0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ldiff_diag' 'h4/thm/arithmetic/ABS_DIFF_EQS_'
0. 'coq/Coq_Reals_RIneq_Rlt_not_eq' 'h4/thm/rat/RAT_LES_IMP_NEQ_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_cancel_l' 'h4/thm/realax/HREAL_EQ_LADD_'
0. 'coq/Coq_Reals_Rtrigo1_PI_neq0' 'h4/thm/extreal/ne_01_'#@#variant
0. 'coq/Coq_Arith_Gt_gt_Sn_n' 'h4/thm/numpair/nfst_le_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_le_compat_l' 'h4/thm/integer/INT_LT_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_sub_lt_add_r' 'h4/thm/real/REAL_LE_SUB_RADD_'
0. 'coq/Coq_Bool_Bool_eqb_negb1' 'h4/thm/realax/REAL_ADD_LINV_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_opp_opp' 'h4/thm/extreal/neg_mul2_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_ge' 'h4/thm/real/REAL_LE_'
0. 'coq/Coq_NArith_BinNat_N_le_add_r' 'h4/thm/extreal/le_max1_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pow_le_mono_r_iff'#@#variant 'h4/thm/arithmetic/EXP_BASE_LT_MONO_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_glb' 'h4/thm/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_compare_eq_iff' 'h4/thm/quote/index_lt_def_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_nge' 'h4/thm/integer/INT_NOT_LT_'
0. 'coq/Coq_Arith_PeanoNat_Nat_succ_le_mono' 'h4/thm/numeral/numeral_lt_4'
0. 'coq/Coq_Reals_Rtrigo_calc_Rlt_3PI2_2PI'#@#variant 'h4/thm/extreal/half_between_e2'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_opp_pred' 'h4/thm/transc/EXP_NEG_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_log2_2' 'h4/thm/real/REAL_HALF_BETWEEN_e2'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_divide_xO_xO' 'h4/thm/numeral/numeral_lt_3'
0. 'coq/Coq_Reals_Rfunctions_pow_le'#@#variant 'h4/thm/extreal/pow_pos_le_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_add_pos_r'#@#variant 'h4/thm/extreal/le_addr_imp_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_cancel_l' 'h4/thm/integer/INT_EQ_LADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_compare_eq_iff' 'h4/thm/quote/compare_index_equal_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_1_r' 'h4/thm/extreal/mul_rzero_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_opp' 'h4/thm/extreal/extreal_inv_def_e2'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_compare_succ_succ' 'h4/thm/toto/num_dtOrd_e8'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_log2_1' 'h4/thm/real/REAL_HALF_BETWEEN_e2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div_small' 'h4/thm/arithmetic/LESS_DIV_EQ_ZERO_'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_pred' 'h4/thm/toto/num_dt_size_def_e2'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_land_diag' 'h4/thm/arithmetic/MIN_IDEM_'
0. 'coq/Coq_Reals_Rtrigo_calc_sqrt2_neq_0'#@#variant 'h4/thm/binary_ieee/float_compare_distinct_3'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mod_1_r'#@#variant 'h4/thm/numeral/numeral_exp_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_land' 'h4/thm/transc/EXP_ADD_'
0. 'coq/Coq_ZArith_BinInt_Z_opp_nonpos_nonneg'#@#variant 'h4/thm/numeral/numeral_distrib_24'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_pred' 'h4/thm/numeral/iDUB_removal_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_le_trans' 'h4/thm/rat/RAT_LES_LEQ_TRANS_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_clearbit_spec_prime'#@#variant 'h4/thm/extreal/extreal_div_def_'
0. 'coq/Coq_Arith_Plus_plus_le_compat_l' 'h4/thm/real/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Reals_R_sqr_Rsqr_pos_lt'#@#variant 'h4/thm/real/ABS_CASES_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lnot_involutive' 'h4/thm/integer/INT_QUOT_CALCULATE_e4'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_le_mono_pos_l'#@#variant 'h4/thm/int_arith/lt_justify_multiplication_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_le_mono_nonneg_r'#@#variant 'h4/thm/integral/REAL_LE_RMUL1_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_eq_mul_0' 'h4/thm/intExtension/INT_NO_ZERODIV_'#@#variant
0. 'coq/Coq_Arith_Mult_mult_le_compat_r' 'h4/thm/hrat/TRAT_ADD_WELLDEFINED_'#@#variant
0. 'coq/Coq_Reals_R_sqr_Rsqr_abs' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRLRRRR'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_le_mono_l' 'h4/thm/real/REAL_LT_LADD_'
0. 'coq/Coq_NArith_BinNat_N_neq_succ_0' 'h4/thm/bit/TWOEXP_NOT_ZERO_'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_le' 'h4/thm/float/REAL_OF_NUM_LT_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_pred_double_spec' 'h4/thm/numeral_bit/NUMERAL_iDIV2_4'
0. 'coq/Coq_NArith_BinNat_N_lt_neq' 'h4/thm/prim_rec/LESS_NOT_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_clearbit_spec_prime'#@#variant 'h4/thm/rat/RAT_DIV_MULMINV_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_max_l' 'h4/thm/hreal/HRAT_LT_ADDL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_diag' 'h4/thm/real/REAL_MAX_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_add_le_sub_r' 'h4/thm/real/REAL_LT_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_0_discr' 'h4/thm/quote/index_distinct_1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_succ_diag_r' 'h4/thm/divides/INDEX_LESS_PRIMES_'
0. 'coq/Coq_ZArith_Zbool_Zeq_is_eq_bool' 'h4/thm/quote/compare_index_equal_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_simpl_r' 'h4/thm/complex/COMPLEX_SUB_ADD_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_of_Q' 'h4/thm/complex/RE_COMPLEX_OF_REAL_'#@#variant
0. 'coq/Coq_ZArith_Zdiv_Zdiv_1_r' 'h4/thm/real/REAL_ADD_RID_'
0. 'coq/Coq_Reals_RIneq_Rlt_le' 'h4/thm/extreal/lt_imp_le_'
0. 'coq/Coq_NArith_BinNat_N_add_le_mono_l' 'h4/thm/arithmetic/ADD_MONO_LESS_EQ_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_sub_mask_nul_iff' 'h4/thm/quote/compare_index_equal_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pow_lt_mono_r'#@#variant 'h4/thm/real/REAL_LE_LMUL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_succ_l' 'h4/thm/integer/INT_NEG_LMUL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_pow' 'h4/thm/extreal/mul_lneg_'
0. 'coq/Coq_PArith_Pnat_SuccNat2Pos_inj_iff' 'h4/thm/string_num/n2s_11_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_succ_r_prime' 'h4/thm/arithmetic/MULT_CLAUSES_e5'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_wf_0'#@#variant 'h4/thm/prim_rec/WF_LESS_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zle_0_nat' 'h4/thm/realax/REAL_POS_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_lt_mono_pos_r'#@#variant 'h4/thm/real/REAL_LE_RMUL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_log2_le_lin'#@#variant 'h4/thm/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_sub_le_add_r' 'h4/thm/integer/INT_LT_ADD_SUB_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_lteq' 'h4/thm/real/REAL_LE_LT_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_pos'#@#variant 'h4/thm/extreal/le_num_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_eq_cases' 'h4/thm/integer/INT_LE_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_mul_l' 'h4/thm/integer/INT_DIVIDES_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_null_iff' 'h4/thm/numpair/tri_eq_0_0'
0. 'coq/Coq_Reals_Rbasic_fun_Rmax_Rlt' 'h4/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_Reals_RIneq_opp_IZR' 'h4/thm/rat/RAT_AINV_CALCULATE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_lteq' 'h4/thm/string/string_le_def_'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_gt_lt_iff' 'h4/thm/arithmetic/GREATER_DEF_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_gt' 'h4/thm/string/char_le_def_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_lt_mono' 'h4/thm/numeral/numeral_lte_3'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_total' 'h4/thm/integer/INT_LT_TOTAL_'
0. 'coq/Coq_NArith_BinNat_N_le_pred_l' 'h4/thm/numpair/nfst_le_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_compare_succ_succ' 'h4/thm/toto/numeralOrd_6'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_succ_pred_double' 'h4/thm/numRing/num_rewrites_tLRLRR'
0. 'coq/Coq_NArith_BinNat_N_pos_pred_succ' 'h4/thm/ieee/num2roundmode_roundmode2num_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_id' 'h4/thm/real/REAL_MIN_REFL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_1_mul_pos'#@#variant 'h4/thm/arithmetic/ONE_LT_MULT_IMP_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_min_id' 'h4/thm/extreal/max_refl_'
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_factor_r' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_1'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_le_succ_r' 'h4/thm/prim_rec/LESS_SUC_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_neq' 'h4/thm/hreal/HRAT_LT_NE_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_total' 'h4/thm/extreal/lt_total_'
0. 'coq/Coq_ZArith_BinInt_Z_lcm_diag' 'h4/thm/arithmetic/TIMES2_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_inj_wd' 'h4/thm/real/REAL_EQ_NEG_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_quot_pos'#@#variant 'h4/thm/real/REAL_LTE_ADD_'#@#variant
0. 'coq/Coq_Init_Peano_plus_Sn_m' 'h4/thm/rat/RAT_AINV_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_lt_mono_l' 'h4/thm/integer/INT_LT_LADD_'
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_pos_l'#@#variant 'h4/thm/real/REAL_LT_LMUL_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_lcm_eq_r' 'h4/thm/real/REAL_MAX_ALT_0'
0. 'coq/Coq_Bool_Bool_orb_false_iff' 'h4/thm/arithmetic/MULT_EQ_1_'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_lt' 'h4/thm/real/REAL_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_total' 'h4/thm/realax/REAL_LT_TOTAL_'
0. 'coq/Coq_Arith_Even_odd_plus_l' 'h4/thm/extreal/lte_add_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_nonneg_l'#@#variant 'h4/thm/real/REAL_LE_LMUL_IMP_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_le_mono_pos_r'#@#variant 'h4/thm/logroot/EXP_LT_ISO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_divide_xO_xO' 'h4/thm/numeral/numeral_lte_e6'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_1' 'h4/thm/integerRing/int_calculate_e13'
0. 'coq/Coq_ZArith_BinInt_Z_opp_inj_wd' 'h4/thm/numeral/numeral_eq_e7'
0. 'coq/Coq_Reals_Rtrigo_def_sin_antisym' 'h4/thm/transc/TAN_NEG_'
0. 'coq/Coq_QArith_QArith_base_Qmult_le_l'#@#variant 'h4/thm/real/REAL_LE_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_lt_iff' 'h4/thm/extreal/min_le_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_le_mono_l' 'h4/thm/hrat/TRAT_ADD_WELLDEFINED_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_nle' 'h4/thm/HolSmt/r115_'
0. 'coq/Coq_Arith_Plus_le_plus_l' 'h4/thm/hreal/HRAT_LT_ADDL_'
0. 'coq/Coq_ZArith_BinInt_Z_pow_pos_nonneg'#@#variant 'h4/thm/real/REAL_LTE_ADD_'#@#variant
0. 'coq/Coq_QArith_Qcanon_Q_apart_0_1'#@#variant 'h4/thm/toto/cpn_distinct_0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_refl' 'h4/thm/realax/TREAL_EQ_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_ge_cases' 'h4/thm/arithmetic/LESS_CASES_'
0. 'coq/Coq_ZArith_BinInt_Z_sgn_nonneg'#@#variant 'h4/thm/real/REAL_LT_INV_EQ_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_opp_r' 'h4/thm/integer/INT_NEG_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_l' 'h4/thm/realax/REAL_LT_IADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_1' 'h4/thm/real/ABS_0_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_le_compat_l' 'h4/thm/realax/TREAL_LT_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_0_l' 'h4/thm/integral/LE_0_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_compare_succ_succ' 'h4/thm/toto/numeralOrd_6'
0. 'coq/Coq_NArith_BinNat_N_pow_lt_mono_r_iff'#@#variant 'h4/thm/transc/RPOW_LT_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_pos_l'#@#variant 'h4/thm/integer/INT_LT_MONO_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_irrefl' 'h4/thm/integer/INT_LT_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_nlt_ge' 'h4/thm/HolSmt/r096_'
0. 'coq/Coq_QArith_QArith_base_Zle_Qle' 'h4/thm/integer/INT_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_neq_succ_0' 'h4/thm/intto/BIT2_nz_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_succ_inj_wd' 'h4/thm/numeral/numeral_lte_e6'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_lxor_r' 'h4/thm/real/REAL_NEG_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_divide_mono_l' 'h4/thm/realax/REAL_LT_IADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_succ_lt_mono' 'h4/thm/transc/EXP_MONO_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_le_mono_r' 'h4/thm/arithmetic/LESS_MONO_ADD_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_pred' 'h4/thm/numeral/numeral_iisuc_1'
0. 'coq/Coq_ZArith_Zquot_Zquot_opp_r' 'h4/thm/integer/INT_MUL_CALCULATE_2'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_le_compat_l' 'h4/thm/integer/TINT_LT_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_le_mono_r' 'h4/thm/arithmetic/LE_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_1' 'h4/thm/numeral/numeral_pre_1'
0. 'coq/Coq_Reals_ROrderedType_R_as_OT_le_lteq' 'h4/thm/string/string_le_def_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_1_r' 'h4/thm/real/REAL_ADD_RID_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lxor_nilpotent' 'h4/thm/rat/RAT_SUB_ID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_id' 'h4/thm/real/REAL_MIN_REFL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pred_le_mono' 'h4/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_opp_r' 'h4/thm/arithmetic/ADD_SUC_'
0. 'coq/Coq_Reals_Rtrigo1__PI2_RLT_0'#@#variant 'h4/thm/real/REAL_THIRDS_BETWEEN_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_refl' 'h4/thm/arithmetic/LESS_EQ_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_succ_inj_wd' 'h4/thm/DeepSyntax/deep_form_11_2'
0. 'coq/Coq_NArith_BinNat_N_succ_le_mono' 'h4/thm/arithmetic/LESS_MONO_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_le_incl' 'h4/thm/rat/RAT_LES_IMP_LEQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_neq_succ_0' 'h4/thm/quote/index_distinct_e2'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_le_incl' 'h4/thm/real/REAL_LT_IMP_LE_'
0. 'coq/Coq_Relations_Operators_Properties_clos_rst_is_equiv' 'h4/thm/list/all_distinct_nub_'
0. 'coq/Coq_QArith_QArith_base_Qplus_0_l'#@#variant 'h4/thm/realax/TREAL_ADD_LID_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_sub_mask_neg_iff_prime' 'h4/thm/quote/index_lt_def_'
0. 'coq/Coq_Reals_Rminmax_R_OT_le_lteq' 'h4/thm/integer/INT_LE_LT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_quot_1_r' 'h4/thm/HolSmt/r080_'
0. 'coq/Coq_PArith_BinPos_Pos_le_1_l' 'h4/thm/arithmetic/ZERO_LESS_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_sub_assoc' 'h4/thm/numpair/napp_thm_e1'
0. 'coq/Coq_Reals_RIneq_Rlt_not_le' 'h4/thm/real/REAL_LET_ANTISYM_'
0. 'coq/Coq_Bool_Bool_leb_implb' 'h4/thm/arithmetic/SUB_EQ_0_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_div2_double'#@#variant 'h4/thm/numeral/DIV2_BIT1_'
0. 'coq/Coq_Bool_Bool_diff_false_true' 'h4/thm/toto/all_cpn_distinct_e3'
0. 'coq/Coq_Arith_PeanoNat_Nat_succ_le_mono' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_PArith_BinPos_Pos_gt_lt_iff' 'h4/thm/string/string_gt_def_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_succ_lt_mono' 'h4/thm/integerRing/int_rewrites_tLRRRRLRRR'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lnot_0_l' 'h4/thm/numeral/texp_help_def_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_involutive' 'h4/thm/complex/COMPLEX_NEGNEG_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_lt_mono_r' 'h4/thm/hreal/HRAT_LT_RADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_lt_mono_r' 'h4/thm/integer/INT_LE_RADD_'
0. 'coq/Coq_QArith_Qabs_Qabs_wd' 'h4/thm/real/REAL_POS_MONO_'
0. 'coq/Coq_ZArith_BinInt_Z_opp_lt_mono' 'h4/thm/real/REAL_LE_NEG_'
0. 'coq/Coq_NArith_BinNat_N_gcd_divide_l' 'h4/thm/real/REAL_MIN_LE1_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_1_l' 'h4/thm/HolSmt/r079_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_ge' 'h4/thm/string/char_le_def_'
0. 'coq/Coq_Bool_Bool_xorb_negb_negb' 'h4/thm/real/REAL_NEG_MUL2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_succ' 'h4/thm/numeral/numeral_suc_e2'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_1_l' 'h4/thm/integer/INT_MUL_LZERO_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_inj_wd' 'h4/thm/complex/COMPLEX_INV_INJ_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rmult_le_compat_r'#@#variant 'h4/thm/real/REAL_LT_RMUL_IMP_'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_lt' 'h4/thm/real/le_int_0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_divide_mono_l' 'h4/thm/extreal/le_ladd_imp_'
0. 'coq/Coq_ZArith_BinInt_Z_pow_nonneg'#@#variant 'h4/thm/transc/RPOW_POS_LT_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sub_succ' 'h4/thm/real/REAL_NEG_MUL2_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_1_l'#@#variant 'h4/thm/integer/INT_DIVIDES_1_0'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_nlt_ge' 'h4/thm/arithmetic/NOT_LESS_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pred_div2_up' 'h4/thm/quote/index_size_def_1'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_gt_lt_iff' 'h4/thm/arithmetic/GREATER_EQ_'
0. 'coq/Coq_ZArith_BinInt_Z_divide_refl' 'h4/thm/integer/INT_DIVIDES_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_le_mono_l' 'h4/thm/integer/TINT_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_succ_le_mono' 'h4/thm/numeral/numeral_lte_e6'
0. 'coq/Coq_ZArith_BinInt_Z_sub_lt_mono_r' 'h4/thm/arithmetic/LT_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_cancel_l' 'h4/thm/real/REAL_EQ_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ge_le_iff' 'h4/thm/arithmetic/GREATER_DEF_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_cancel_r' 'h4/thm/arithmetic/LE_ADD_RCANCEL_'
0. 'coq/Coq_ZArith_Znat_N2Z_id' 'h4/thm/pred_set/pair_to_num_inv_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mod_1_r'#@#variant 'h4/thm/numeral/numeral_distrib_11'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ldiff_land' 'h4/thm/complex/complex_sub_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_le_trans' 'h4/thm/extreal/lte_trans_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_double_spec'#@#variant 'h4/thm/real/REAL_NEG_MINUS1_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pow_le_mono_l' 'h4/thm/integer/TINT_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_le' 'h4/thm/real/REAL_LE_'
0. 'coq/Coq_QArith_Qround_Zdiv_Qdiv' 'h4/thm/rat/rat_add_def_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_le_mono' 'h4/thm/integer/TINT_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_add_r' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_0'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_of_Q' 'h4/thm/toto/num2cpn_cpn2num_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_nge' 'h4/thm/real/real_lt_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_nonneg_nonneg' 'h4/thm/realax/TREAL_LT_MUL_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_nlt_ge' 'h4/thm/HolSmt/r096_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_lt_iff' 'h4/thm/arithmetic/MIN_LT_0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_land_diag' 'h4/thm/arithmetic/MIN_IDEM_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_le_mono_l' 'h4/thm/arithmetic/ADD_MONO_LESS_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_clearbit_spec_prime'#@#variant 'h4/thm/real/real_sub_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_nonneg_nonneg' 'h4/thm/binary_ieee/le2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lnot_ones' 'h4/thm/realax/REAL_ADD_LINV_'
0. 'coq/Coq_QArith_QArith_base_Qplus_le_r' 'h4/thm/rat/RAT_LES_LADD_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_m1_0'#@#variant 'h4/thm/transc/PI2_BOUNDS_e1'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_le_mono' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_le_compat_l' 'h4/thm/integer/INT_LT_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_nlt_ge' 'h4/thm/integer/int_le_'
0. 'coq/Coq_ZArith_BinInt_Z_add_cancel_l' 'h4/thm/integer/EQ_LADD_'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_double'#@#variant 'h4/thm/rat/RAT_AINV_CALCULATE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ldiff_ldiff_l' 'h4/thm/arithmetic/SUB_RIGHT_SUB_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_quot_1_r' 'h4/thm/extreal/add_rzero_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_cancel_l' 'h4/thm/rat/RAT_EQ_LADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_1_r' 'h4/thm/real/REAL_ADD_RID_'
0. 'coq/Coq_PArith_BinPos_Pos_max_le_compat_r' 'h4/thm/hrat/TRAT_ADD_WELLDEFINED_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_inj_wd' 'h4/thm/complex/COMPLEX_INV_INJ_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_succ_lt_mono' 'h4/thm/arithmetic/LESS_MONO_EQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_pos_l'#@#variant 'h4/thm/integer/INT_LE_MONO_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_tan_neg' 'h4/thm/complex/CONJ_NEG_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_succ_l' 'h4/thm/arithmetic/MULT_CLAUSES_4'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_nle' 'h4/thm/integer/INT_NOT_LT_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_inv_norm' 'h4/thm/transc/SQRT_POS_LT_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_shiftr_div_pow2'#@#variant 'h4/thm/extreal/sub_rneg_'
0. 'coq/Coq_ZArith_BinInt_Z_le_ngt' 'h4/thm/HolSmt/r096_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_1_l' 'h4/thm/real/REAL_DIV_LZERO_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_log2' 'h4/thm/toto/num_dt_size_def_1'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_le_compat_r' 'h4/thm/integer/TINT_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Reals_RIneq_Ropp_mult_distr_r_reverse' 'h4/thm/integer/INT_MUL_CALCULATE_2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mod_mod' 'h4/thm/integer/INT_MOD_MOD_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_lt_mono_l' 'h4/thm/real/REAL_LE_LADD_'
0. 'coq/Coq_QArith_Qreals_Qlt_Rlt' 'h4/thm/realax/TREAL_ISO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_testbit_even_0'#@#variant 'h4/thm/toto/qk_numeralOrd_4'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pos_pred_succ' 'h4/thm/integer/NUM_OF_INT_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_lt_mono_l' 'h4/thm/arithmetic/LE_ADD_LCANCEL_'
0. 'coq/Coq_PArith_BinPos_Pos_le_refl' 'h4/thm/realax/TREAL_EQ_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_nle_gt' 'h4/thm/arithmetic/NOT_LESS_EQUAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ldiff_m1_l'#@#variant 'h4/thm/integer/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_w3_spec' 'h4/thm/numRing/num_semi_ring_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_le_iff' 'h4/thm/extreal/le_max_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_pos_cancel_r'#@#variant 'h4/thm/real/REAL_LT_RMUL_0_'#@#variant
0. 'coq/Coq_Lists_List_length_zero_iff_nil' 'h4/thm/quantHeuristics/LIST_LENGTH_25_351'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_neq_succ_0' 'h4/thm/num/ZERO_REP_DEF_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_eq_cases' 'h4/thm/arithmetic/LESS_OR_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_le_compat_l' 'h4/thm/realax/REAL_LT_IADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_le_mono' 'h4/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pred_succ' 'h4/thm/string/EXPLODE_IMPLODE_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_odd' 'h4/thm/complex/complex_of_num_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_cancel_l' 'h4/thm/integer/INT_EQ_LADD_'
0. 'coq/Coq_ZArith_BinInt_Z_max_lt_iff' 'h4/thm/extreal/le_max_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_inv_normc' 'h4/thm/extreal/extreal_abs_def_0'
0. 'coq/Coq_ZArith_Znat_Z2N_inj_pred' 'h4/thm/quote/index_size_def_0'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_nonneg' 'h4/thm/transc/ATN_BOUNDS_0'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_nonneg_nonneg' 'h4/thm/realax/REAL_LT_MUL_'
0. 'coq/Coq_NArith_Ndist_ni_min_O_l' 'h4/thm/HolSmt/r233_'
0. 'coq/Coq_ZArith_BinInt_Z_abs_lt' 'h4/thm/extreal/abs_bounds_lt_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_involutive' 'h4/thm/integer/INT_MUL_CALCULATE_e3'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_cancel_l' 'h4/thm/real/REAL_EQ_LADD_'
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_pos'#@#variant 'h4/thm/transc/EXP_LT_1_'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_le' 'h4/thm/real/le_int_0'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_le_compat_r' 'h4/thm/integer/TINT_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mod_1_l'#@#variant 'h4/thm/arithmetic/ZERO_MOD_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_gcd_divide_l' 'h4/thm/extreal/min_le1_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_0_l' 'h4/thm/divides/ONE_DIVIDES_ALL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_lt_mono'#@#variant 'h4/thm/integer/INT_LT_MUL2_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_succ_lt_mono' 'h4/thm/numeral/numeral_lt_4'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_lcm_l' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_0'
0. 'coq/Coq_Reals_Raxioms_R1_neq_R0' 'h4/thm/toto/all_cpn_distinct_tLRL'
0. 'coq/Coq_setoid_ring_RealField_Rdef_pow_add' 'h4/thm/real/POW_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_nge' 'h4/thm/integer/INT_NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_clearbit_spec_prime'#@#variant 'h4/thm/extreal/sub_rneg_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_lub_lt_iff' 'h4/thm/extreal/max_le_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_lxor_r' 'h4/thm/integer/INT_MUL_CALCULATE_2'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_add_lt_sub_r' 'h4/thm/integer/INT_LE_SUB_RADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_div2_div'#@#variant 'h4/thm/arithmetic/PRE_SUB1_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_le_max_r' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_pos_r' 'h4/thm/logroot/EXP_LE_ISO_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_le_mono_r' 'h4/thm/arithmetic/LE_ADD_RCANCEL_'
0. 'coq/Coq_Arith_Lt_nat_total_order' 'h4/thm/arithmetic/LESS_CASES_IMP_'
0. 'coq/Coq_Reals_Rtrigo1_sin_ge_0'#@#variant 'h4/thm/transc/SIN_POS_PI_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_lt_mono_l' 'h4/thm/realax/HREAL_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_1_l'#@#variant 'h4/thm/arithmetic/ZERO_DIV_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_double_mul' 'h4/thm/frac/FRAC_AINV_LMUL_'
0. 'coq/Coq_ZArith_BinInt_Z_abs_opp' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRLRRRR'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_cancel_l' 'h4/thm/hreal/HRAT_EQ_LMUL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_odd_1' 'h4/thm/float/FLOAT_INFINITIES_SIGNED_e1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mod_1_r'#@#variant 'h4/thm/integer/INT_MOD_1_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_min_lt_iff' 'h4/thm/arithmetic/MIN_LE_0'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_sqrt' 'h4/thm/complex/COMPLEX_OF_REAL_INV_'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_is_nonneg'#@#variant 'h4/thm/realax/REAL_POS_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_rem_1_r'#@#variant 'h4/thm/arithmetic/EXP_0'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_mul_cancel_l' 'h4/thm/real/REAL_EQ_LADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_Zpos' 'h4/thm/realax/REAL_ISO_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_lt_mono_pos_l'#@#variant 'h4/thm/rat/RAT_LES_LMUL_POS_'#@#variant
0. 'coq/Coq_Lists_List_split_length_r' 'h4/thm/list/LENGTH_UNZIP_e1'
0. 'coq/Coq_Reals_Rtrigo1_tan_gt_0'#@#variant 'h4/thm/transc/TAN_POS_PI2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_move_0_r' 'h4/thm/real/REAL_SUB_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_leb' 'h4/thm/toto/charOrd_'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_nonneg' 'h4/thm/arithmetic/FACT_LESS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_factor_r' 'h4/thm/integer/INT_DIVIDES_MUL_e1'
0. 'coq/Coq_PArith_BinPos_Pos_add_succ_r' 'h4/thm/complex/COMPLEX_MUL_RNEG_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_ngt' 'h4/thm/real/real_lt_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftl_mul_pow2'#@#variant 'h4/thm/complex/COMPLEX_SUB_RNEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_max_l' 'h4/thm/realax/HREAL_LT_ADDL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_cancel_r' 'h4/thm/rat/RAT_LES_RADD_'
0. 'coq/Coq_ZArith_Znat_Z2N_inj_pred' 'h4/thm/toto/num_dt_size_def_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_min_l' 'h4/thm/arithmetic/SUB_LESS_EQ_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_log2_2' 'h4/thm/real/REAL_THIRDS_BETWEEN_2'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_lteq' 'h4/thm/arithmetic/LESS_OR_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_lt_trans' 'h4/thm/real/REAL_LET_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_lt_mono_r' 'h4/thm/hreal/HRAT_LT_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_id' 'h4/thm/real/REAL_MAX_REFL_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_log2_1' 'h4/thm/real/REAL_THIRDS_BETWEEN_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_succ_l' 'h4/thm/real/REAL_MUL_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_divide_l' 'h4/thm/extreal/min_le1_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_eq_0_r' 'h4/thm/extreal/add_not_infty_e1'
0. 'coq/Coq_Arith_Plus_lt_plus_trans' 'h4/thm/divides/DIVIDES_MULT_'
0. 'coq/Coq_Arith_Wf_nat_lt_wf' 'h4/thm/arithmetic/transitive_LESS_'
0. 'coq/Coq_Reals_RIneq_Rle_lt_trans' 'h4/thm/real/REAL_LET_TRANS_'
0. 'coq/Coq_Numbers_Cyclic_ZModulo_ZModulo_two_p_power2'#@#variant 'h4/thm/intExtension/INT_ABS_CALCULATE_NEG_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lcm_1_l'#@#variant 'h4/thm/integer/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_le_compat_l' 'h4/thm/realax/TREAL_LT_ADD_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div_0_l' 'h4/thm/integer/INT_REM0_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_of_N' 'h4/thm/rat/RAT_SGN_CALCULATE_'
0. 'coq/Coq_ZArith_BinInt_Z_min_le_compat_l' 'h4/thm/extreal/le_ladd_imp_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_setbit_spec_prime'#@#variant 'h4/thm/frac/frac_sub_def_'
0. 'coq/Coq_Arith_PeanoNat_Nat_div_0_l' 'h4/thm/integer/INT_REM0_'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_lt_not_eq' 'h4/thm/integer/INT_LT_IMP_NE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_max_r' 'h4/thm/integer/INT_DIVIDES_MUL_e1'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_2' 'h4/thm/real/REAL_THIRDS_BETWEEN_tRRRL'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_leb' 'h4/thm/toto/qk_numOrd_def_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gt_lt_iff' 'h4/thm/string/string_ge_def_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_abs' 'h4/thm/extreal/extreal_inv_def_e2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_nonneg' 'h4/thm/prim_rec/LESS_0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div_1_r' 'h4/thm/real/REAL_ADD_RID_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_nge' 'h4/thm/integer/INT_NOT_LE_'
0. 'coq/Coq_Structures_OrderedTypeEx_PositiveOrderedTypeBits_bits_lt_antirefl' 'h4/thm/extreal/lt_refl_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_0_2' 'h4/thm/extreal/lt_infty_2'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_1' 'h4/thm/real/REAL_THIRDS_BETWEEN_tRRRL'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pow_lt_mono_r_iff' 'h4/thm/integer/INT_LT_MONO_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_lt_mono_neg_l' 'h4/thm/rat/RAT_LES_LMUL_NEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_1_l' 'h4/thm/integer/INT_MUL_REDUCE_1'
0. 'coq/Coq_Arith_Max_max_r' 'h4/thm/real/REAL_MAX_ALT_0'
0. 'coq/Coq_QArith_Qround_Qfloor_Z' 'h4/thm/num/num_ISO_DEF_0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_asymm' 'h4/thm/extreal/lt_antisym_'
0. 'coq/Coq_Strings_Ascii_ascii_nat_embedding' 'h4/thm/integer/NUM_OF_INT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_1_mul_pos'#@#variant 'h4/thm/real/REAL_LTE_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div2_nonneg'#@#variant 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Structures_DecidableTypeEx_N_as_DT_lt_not_eq' 'h4/thm/real/REAL_LT_IMP_NE_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_0_1' 'h4/thm/extreal/lt_infty_2'
0. 'coq/Coq_PArith_BinPos_Pos_min_glb_lt_iff' 'h4/thm/integral/REAL_LT_MIN_'
0. 'coq/Coq_NArith_BinNat_N_le_min_l' 'h4/thm/extreal/min_le1_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_ngt' 'h4/thm/real/real_lt_'
0. 'coq/Coq_ZArith_Zdiv_Zdiv_Zdiv' 'h4/thm/arithmetic/DIV_DIV_DIV_MULT_'
0. 'coq/Coq_Reals_RIneq_Rplus_lt_le_compat' 'h4/thm/integer/INT_LTE_ADD2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_opp_opp' 'h4/thm/extreal/neg_mul2_'
0. 'coq/Coq_ZArith_Zeven_Zodd_even_bool' 'h4/thm/integerRing/int_ring_thms_e17'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_abs_le' 'h4/thm/extreal/abs_bounds_lt_'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_IsTO_lt_total' 'h4/thm/arithmetic/LESS_CASES_IMP_'
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_refl' 'h4/thm/integer/INT_LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lor_diag' 'h4/thm/arithmetic/MIN_IDEM_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_lt_mono_pos_r' 'h4/thm/logroot/EXP_LT_ISO_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_add_le' 'h4/thm/real/ABS_TRIANGLE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_refl' 'h4/thm/poly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_lt_mono_l' 'h4/thm/arithmetic/LT_ADD_LCANCEL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lcm_diag' 'h4/thm/real/REAL_MAX_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_eq_le_incl' 'h4/thm/real/REAL_EQ_IMP_LE_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_xO'#@#variant 'h4/thm/extreal/extreal_abs_def_0'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_is_pos'#@#variant 'h4/thm/binary_ieee/zero_lt_twopow_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_eq_le_incl' 'h4/thm/real/REAL_EQ_IMP_LE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_involutive' 'h4/thm/complex/COMPLEX_INV_INV_'#@#variant
0. 'coq/Coq_ZArith_Znat_Z2N_inj_div2' 'h4/thm/DeepSyntax/deep_form_size_def_2'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_shiftl_1_l'#@#variant 'h4/thm/extreal/sub_lzero_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_lxor_l' 'h4/thm/arithmetic/ADD_CLAUSES_2'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_pos_neg'#@#variant 'h4/thm/real/REAL_NEG_GT0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_l' 'h4/thm/real/REAL_MIN_ALT_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_clearbit_spec_prime'#@#variant 'h4/thm/rat/RAT_DIV_MULMINV_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_lt_mono_r' 'h4/thm/real/REAL_LT_LMUL_IMP_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_succ_l' 'h4/thm/extreal/mul_lneg_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ltb_lt' 'h4/thm/quote/index_lt_def_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_asymm' 'h4/thm/hreal/HRAT_LT_ANTISYM_'
0. 'coq/Coq_PArith_BinPos_Pos_lt_eq_cases' 'h4/thm/arithmetic/GREATER_OR_EQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_mul_r' 'h4/thm/frac/FRAC_SUB_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_pred_l' 'h4/thm/real/REAL_MUL_LNEG_'
0. 'coq/Coq_ZArith_BinInt_Zplus_minus' 'h4/thm/complex/COMPLEX_SUB_ADD2_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_pos_pos' 'h4/thm/realax/REAL_LT_MUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_nonneg_r'#@#variant 'h4/thm/extreal/le_rmul_imp_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_square_spec' 'h4/thm/arithmetic/TIMES2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_pred_l' 'h4/thm/numpair/nfst_le_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_lub_lt_iff' 'h4/thm/extreal/max_le_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_add_r' 'h4/thm/realax/HREAL_LT_ADDL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_le_mono_nonneg_l'#@#variant 'h4/thm/real/REAL_LE_LMUL_IMP_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_add_lt_sub_r' 'h4/thm/integer/INT_LT_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_rem_same' 'h4/thm/integer/INT_MOD_ID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_0_sub'#@#variant 'h4/thm/real/REAL_SUB_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_min_l' 'h4/thm/real/REAL_MIN_LE1_'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_lt_total' 'h4/thm/real/REAL_LT_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pred_le_mono' 'h4/thm/integer/TINT_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rnot_gt_ge' 'h4/thm/integer/INT_LET_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_le_iff' 'h4/thm/util_prob/X_LE_MAX_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_gt_lt_iff' 'h4/thm/integer/INT_GE_CALCULATE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_le_compat_l' 'h4/thm/real/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Reals_Rminmax_R_max_le_iff' 'h4/thm/arithmetic/MAX_LE_0'
0. 'coq/Coq_Bool_Bool_negb_xorb_l' 'h4/thm/integer/INT_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_lub' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_e2'
0. 'coq/Coq_Reals_Rfunctions_pow_mult' 'h4/thm/complex/COMPLEX_POW_POW_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_ldiff_land' 'h4/thm/complex/complex_div_'#@#variant
0. 'coq/Coq_ZArith_Znat_Zabs2N_id' 'h4/thm/rat/RAT_'
0. 'coq/Coq_QArith_Qminmax_Q_min_comm' 'h4/thm/hrat/TRAT_MUL_SYM_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_simpl_r' 'h4/thm/complex/COMPLEX_SUB_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lcm_1_r' 'h4/thm/integer/INT_ADD_REDUCE_1'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_le_compat_r' 'h4/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pred_le_mono' 'h4/thm/transc/EXP_MONO_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_square_nonneg'#@#variant 'h4/thm/real/REAL_LE_SQUARE_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_nle' 'h4/thm/arithmetic/NOT_LESS_EQUAL_'
0. 'coq/Coq_NArith_BinNat_N_add_le_mono_r' 'h4/thm/hreal/HRAT_LT_RMUL_'
0. 'coq/Coq_ZArith_Znat_Z2Nat_inj_pred' 'h4/thm/extreal/extreal_abs_def_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_setbit_spec_prime'#@#variant 'h4/thm/complex/complex_sub_'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_minus_one_neq_zero'#@#variant 'h4/thm/ieee/ccode_distinct_2'
0. 'coq/Coq_NArith_BinNat_N_log2_up_le_mono' 'h4/thm/hrat/TRAT_INV_WELLDEFINED_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_le_mono' 'h4/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_le_compat_r' 'h4/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rmult_opp_opp' 'h4/thm/complex/COMPLEX_NEG_DIV2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_mul_l' 'h4/thm/divides/DIVIDES_MULT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_nonneg'#@#variant 'h4/thm/integer/INT_LT_MUL2_'#@#variant
0. 'coq/Coq_Strings_Ascii_ascii_N_embedding' 'h4/thm/binary_ieee/float_compare_BIJ_0'
0. 'coq/Coq_NArith_BinNat_N_sub_add_distr' 'h4/thm/arithmetic/SUB_PLUS_'
0. 'coq/Coq_Reals_Rminmax_R_max_lt_iff' 'h4/thm/util_prob/X_LE_MAX_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_id' 'h4/thm/real/REAL_MIN_REFL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_rem_1_r'#@#variant 'h4/thm/numeral/numeral_exp_0'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_nonneg_l'#@#variant 'h4/thm/integral/REAL_LE_LMUL1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftl_opp_r' 'h4/thm/complex/COMPLEX_SUB_RNEG_'#@#variant
0. 'coq/Coq_Lists_List_Exists_cons' 'h4/thm/list/EXISTS_SNOC_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_refl' 'h4/thm/hrat/TRAT_EQ_REFL_'#@#variant
0. 'coq/Coq_Strings_Ascii_ascii_nat_embedding' 'h4/thm/ieee/float_tybij_0'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_le_sub_l' 'h4/thm/arithmetic/SUB_LESS_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_quot_abs' 'h4/thm/real/ABS_DIV_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_max_lub_lt_iff' 'h4/thm/arithmetic/MAX_LT_e1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_pred' 'h4/thm/numpair/invtri_linverse_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_iff' 'h4/thm/real/eq_ints_0'
0. 'coq/Coq_ZArith_BinInt_Z_min_id' 'h4/thm/arithmetic/MIN_IDEM_'
0. 'coq/Coq_PArith_Pnat_SuccNat2Pos_inj_iff' 'h4/thm/patricia_casts/string_to_num_11_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_square' 'h4/thm/toto/num_dt_size_def_1'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_pred_r' 'h4/thm/extreal/mul_rneg_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_double_inj' 'h4/thm/num/INV_SUC_'
0. 'coq/Coq_ZArith_BinInt_Z_ldiff_land' 'h4/thm/complex/complex_sub_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pred_succ' 'h4/thm/numeral/DIV2_BIT1_'
0. 'coq/Coq_omega_OmegaLemmas_Zred_factor0' 'h4/thm/HolSmt/r127_'
0. 'coq/Coq_Reals_RIneq_Rlt_not_eq' 'h4/thm/realax/HREAL_LT_NE_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_xO_r' 'h4/thm/integer/INT_MUL_CALCULATE_2'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_pos_pos' 'h4/thm/arithmetic/LESS_MULT2_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_succ' 'h4/thm/DeepSyntax/deep_form_size_def_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_mul_l' 'h4/thm/integer/INT_DIVIDES_LMUL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_gcd_greatest' 'h4/thm/divides/DIVIDES_ADD_1_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_le_mono_pos_r'#@#variant 'h4/thm/real/REAL_LT_RMUL_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_odd_sub' 'h4/thm/float/REAL_OF_NUM_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_neq' 'h4/thm/hreal/HRAT_LT_NE_'
0. 'coq/Coq_Lists_List_incl_tran' 'h4/thm/sorting/PERM_TRANS_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_le_compat_r' 'h4/thm/extreal/le_radd_imp_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_1_r' 'h4/thm/extreal/add_rzero_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lcm_diag' 'h4/thm/arithmetic/MIN_IDEM_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_succ' 'h4/thm/bit/LOG2_TWOEXP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sub_diag' 'h4/thm/arithmetic/SUB_EQUAL_0_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_0_succ' 'h4/thm/integral/LT_0_'
0. 'coq/Coq_Bool_Bool_negb_involutive_reverse' 'h4/thm/real/REAL_INV_INV_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_le_mono_l' 'h4/thm/arithmetic/LE_ADD_LCANCEL_'
0. 'coq/Coq_NArith_BinNat_N_shiftl_mul_pow2'#@#variant 'h4/thm/HolSmt/r224_'#@#variant
0. 'coq/Coq_Numbers_Cyclic_DoubleCyclic_DoubleBase_wwB_wBwB'#@#variant 'h4/thm/hrat/trat_sucint_e1'#@#variant
0. 'coq/Coq_NArith_BinNat_N_div2_succ_double' 'h4/thm/bit/LOG2_TWOEXP_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_nlt_ge' 'h4/thm/integer/INT_NOT_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_square_nonneg'#@#variant 'h4/thm/real/REAL_LE_SQUARE_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_eq_mul_m1'#@#variant 'h4/thm/arithmetic/PRE_SUB1_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pow_lt_mono_r_iff'#@#variant 'h4/thm/real/REAL_LE_LMUL_'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_ge_le_iff' 'h4/thm/string/string_gt_def_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_add_1_l' 'h4/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_0_succ' 'h4/thm/divides/ZERO_LT_PRIMES_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_le_trans' 'h4/thm/arithmetic/LESS_LESS_EQ_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_min_distr_l' 'h4/thm/transc/RPOW_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lcm_diag' 'h4/thm/real/REAL_MIN_REFL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_sub_add' 'h4/thm/arithmetic/SUB_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_ge_cases' 'h4/thm/arithmetic/LESS_CASES_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ldiff_diag' 'h4/thm/real/REAL_SUB_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_mul_r' 'h4/thm/integer/INT_DIVIDES_RMUL_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_le_mono_pos_l'#@#variant 'h4/thm/int_arith/lt_justify_multiplication_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_divide_mul_l' 'h4/thm/divides/DIVIDES_MULT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_neg_pos'#@#variant 'h4/thm/numeral/numeral_distrib_24'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_nlt_ge' 'h4/thm/HolSmt/r096_'
0. 'coq/Coq_ZArith_Zquot_Zquot_opp_r' 'h4/thm/real/REAL_NEG_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftl_1_l'#@#variant 'h4/thm/numeral/texp_help_def_0'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_max_r' 'h4/thm/real/REAL_LE_MAX2_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_greatest' 'h4/thm/divides/DIVIDES_ADD_1_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_le_compat_l' 'h4/thm/extreal/le_ladd_imp_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_lt_mono_l' 'h4/thm/integer/INT_LT_LADD_'
0. 'coq/Coq_ZArith_BinInt_Z2Pos_inj_sqrt' 'h4/thm/extreal/extreal_exp_def_0'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_succ_l' 'h4/thm/arithmetic/PRE_SUB_'
0. 'coq/Coq_Sets_Powerset_facts_Empty_set_zero' 'h4/thm/list/REV_DEF_0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div2_double' 'h4/thm/transc/ATN_e2'
0. 'coq/Coq_Reals_Exp_prop_div2_not_R0'#@#variant 'h4/thm/transc/EXP_LT_1_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_min_id' 'h4/thm/gcd/GCD_REF_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sub_le_mono_r' 'h4/thm/extreal/le_radd_imp_'
0. 'coq/Coq_Sets_Uniset_leb_refl' 'h4/thm/extreal/le_refl_'
0. 'coq/Coq_Reals_RIneq_cond_pos'#@#variant 'h4/thm/realax/REAL_POS_'#@#variant
0. 'coq/Coq_Arith_Min_min_r' 'h4/thm/real/REAL_MIN_ALT_e1'
0. 'coq/Coq_ZArith_Zorder_Zsucc_gt_reg' 'h4/thm/arithmetic/LESS_MONO_REV_'
0. 'coq/Coq_Reals_RIneq_Rge_refl' 'h4/thm/poly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zplus_gt_compat_r' 'h4/thm/integer/TINT_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_pred_sub' 'h4/thm/arithmetic/ADD1_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_glb_lt_iff' 'h4/thm/integral/REAL_LT_MIN_'
0. 'coq/Coq_Bool_Bool_diff_true_false' 'h4/thm/ieee/ccode_distinct_4'
0. 'coq/Coq_NArith_BinNat_N_le_sub_le_add_r' 'h4/thm/integer/INT_LT_ADD_SUB_'
0. 'coq/Coq_ZArith_BinInt_Zpos_eq_iff' 'h4/thm/ieee/ccode2num_11_'
0. 'coq/Coq_Reals_RIneq_Rnot_le_lt' 'h4/thm/arithmetic/LESS_CASES_'
0. 'coq/Coq_NArith_BinNat_N_succ_0_discr' 'h4/thm/quote/index_distinct_1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_0_l_prime' 'h4/thm/integer/INT_REM0_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_gcd_eq_0' 'h4/thm/arithmetic/MULT_EQ_1_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftl_opp_r' 'h4/thm/extreal/sub_rneg_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_pred_lt_succ' 'h4/thm/bit/TWOEXP_LE_IMP_LE_LOG2_0'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_abs_pow' 'h4/thm/arithmetic/ADD_CLAUSES_2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_1_l' 'h4/thm/integer/INT_ADD_CALCULATE_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ldiff_land' 'h4/thm/integer/INT_SUB_CALCULATE_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_of_Q' 'h4/thm/ASCIInumbers/toString_toNum_cancel_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_nonneg' 'h4/thm/integral/LT_0_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_lt_iff' 'h4/thm/extreal/le_max_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_sub_lt_add_r' 'h4/thm/real/REAL_LT_SUB_RADD_'
0. 'coq/Coq_NArith_BinNat_N_divide_refl' 'h4/thm/realax/TREAL_EQ_REFL_'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_iff' 'h4/thm/integer/INT_INJ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_irrefl' 'h4/thm/prim_rec/LESS_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_pred_r' 'h4/thm/frac/FRAC_AINV_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_1_l' 'h4/thm/arithmetic/ZERO_LESS_EQ_'
0. 'coq/Coq_ZArith_Zorder_Zplus_lt_compat_l' 'h4/thm/realax/TREAL_LT_ADD_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_eq_le_incl' 'h4/thm/integer/TINT_EQ_AP_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_lt_mono_pos_r'#@#variant 'h4/thm/real/REAL_LE_RMUL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_asymm' 'h4/thm/extreal/lt_antisym_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_gt' 'h4/thm/float/REAL_OF_NUM_LT_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_opp_r' 'h4/thm/complex/COMPLEX_MUL_RNEG_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_lt_mono_pos_l'#@#variant 'h4/thm/arithmetic/EXP_BASE_LT_MONO_'#@#variant
0. 'coq/Coq_Reals_R_sqrt_sqrt_pow2'#@#variant 'h4/thm/extreal/pow2_sqrt_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_le_mono_r' 'h4/thm/hreal/HRAT_LT_RMUL_'
0. 'coq/Coq_QArith_Qreals_Q2R_opp' 'h4/thm/toto/num_dt_size_def_e2'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_1' 'h4/thm/integerRing/int_calculate_e13'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_l2i_i2l'#@#variant 'h4/thm/binary_ieee/num2rounding_rounding2num_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_divide_cancel_r' 'h4/thm/int_arith/INT_DIVIDES_LRMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_even_1' 'h4/thm/ieee/Minus_zero_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div2_succ_double' 'h4/thm/transc/ATN_TAN_'
0. 'coq/Coq_ZArith_Zorder_Znot_ge_lt' 'h4/thm/HolSmt/t015_'
0. 'coq/Coq_ZArith_Znat_Z_N_nat' 'h4/thm/ieee/Fraction_'#@#variant
0. 'coq/Coq_ZArith_Zdiv_Z_div_same_full'#@#variant 'h4/thm/integer/INT_QUOT_ID_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_asymm' 'h4/thm/hreal/HRAT_LT_ANTISYM_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_le_trans' 'h4/thm/extreal/lte_trans_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_neq_0_succ' 'h4/thm/toto/num_dt_distinct_1'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_succ_pred_double' 'h4/thm/numeral_bit/NUMERAL_iDIV2_4'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_nge' 'h4/thm/real/real_lt_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_rem_opp_l_prime' 'h4/thm/integer/INT_MUL_CALCULATE_1'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_double_mul' 'h4/thm/arithmetic/ADD_CLAUSES_2'
0. 'coq/Coq_NArith_Ndist_ni_le_total' 'h4/thm/integer/INT_LE_TOTAL_'
0. 'coq/Coq_ZArith_BinInt_Z_quot_lt'#@#variant 'h4/thm/arithmetic/DIV_LESS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_l' 'h4/thm/extreal/le_ladd_imp_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_succ_diag_r' 'h4/thm/real/REAL_POS_INFLATE_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_nle' 'h4/thm/integer/INT_NOT_LE_'
0. 'coq/Coq_Bool_Bool_xorb_nilpotent' 'h4/thm/arithmetic/SUB_EQUAL_0_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_max_distr' 'h4/thm/complex/COMPLEX_EXP_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_ldiff' 'h4/thm/complex/COMPLEX_SUB_LNEG_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_neg_iff' 'h4/thm/integer/INT_MOD_CALCULATE_3'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_le_mono_l' 'h4/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div2_double' 'h4/thm/numeral_bit/NUMERAL_iDIV2_2'
0. 'coq/Coq_Init_Peano_le_n_S' 'h4/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_move_0_r' 'h4/thm/integer/INT_LNEG_UNIQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_nonneg_nonneg' 'h4/thm/integer/TINT_LT_MUL_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pred_succ' 'h4/thm/numpair/invtri_linverse_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_neg_pos'#@#variant 'h4/thm/integer/INT_NEG_LE0_'#@#variant
0. 'coq/Coq_Arith_Lt_lt_n_S' 'h4/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_divide_mono_r' 'h4/thm/arithmetic/LESS_MONO_ADD_'
0. 'coq/Coq_NArith_BinNat_N_lt_total' 'h4/thm/arithmetic/LESS_CASES_IMP_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_mul_r' 'h4/thm/integer/INT_DIVIDES_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lcm_1_r' 'h4/thm/HolSmt/r127_'
0. 'coq/Coq_NArith_BinNat_N_setbit_spec_prime'#@#variant 'h4/thm/complex/complex_sub_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_pos_nonneg'#@#variant 'h4/thm/arithmetic/ONE_LT_MULT_IMP_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_le_mono' 'h4/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_min_lt_iff' 'h4/thm/extreal/min_le_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_sub_l' 'h4/thm/extreal/min_le1_'
0. 'coq/Coq_Reals_Rpower_Rpower_mult_distr'#@#variant 'h4/thm/transc/RPOW_MUL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_1_l' 'h4/thm/extreal/add_lzero_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lcm_eq_0' 'h4/thm/integer/INT_ENTIRE_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zsucc_gt_compat' 'h4/thm/real/REAL_POS_MONO_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_lt' 'h4/thm/extreal/extreal_lt_eq_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_inj_wd' 'h4/thm/quote/index_11_e1'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_red' 'h4/thm/extreal/extreal_ainv_def_e2'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_log2_2' 'h4/thm/transc/COS_2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftl_1_l'#@#variant 'h4/thm/integer/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_ZArith_Znat_Zabs2Nat_inj_neg' 'h4/thm/ieee/Sign_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_le_mono' 'h4/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Strings_Ascii_ascii_N_embedding' 'h4/thm/binary_ieee/num2float_compare_float_compare2num_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_lt_mono_l' 'h4/thm/realax/HREAL_LT_LADD_'
0. 'coq/Coq_Strings_Ascii_ascii_N_embedding' 'h4/thm/toto/num2cpn_cpn2num_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_log2_1' 'h4/thm/transc/COS_2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_le_lin' 'h4/thm/numpair/invtri_le_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_nonpos_nonneg'#@#variant 'h4/thm/real/REAL_NEG_LT0_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_nonneg_pos'#@#variant 'h4/thm/extreal/lte_mul_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_compare' 'h4/thm/toto/qk_numOrd_def_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_lor' 'h4/thm/complex/COMPLEX_EXP_SUB_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_null'#@#variant 'h4/thm/intExtension/INT_SGN_CLAUSES_e2'#@#variant
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_l2i_i2l'#@#variant 'h4/thm/frac/frac_tybij_0'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_pos_l'#@#variant 'h4/thm/int_arith/justify_divides_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_minus_sym' 'h4/thm/real/ABS_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_clearbit_spec_prime'#@#variant 'h4/thm/extreal/sub_rneg_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_divide_mono_l' 'h4/thm/extreal/le_ladd_imp_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_pred' 'h4/thm/transc/EXP_NEG_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_ge' 'h4/thm/float/REAL_OF_NUM_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_eq'#@#variant 'h4/thm/real/REAL_POS_ID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_xO_r' 'h4/thm/rat/RAT_AINV_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_1_l'#@#variant 'h4/thm/extreal/le_infty_tLL'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_asymm' 'h4/thm/integer/INT_LT_ANTISYM_'
0. 'coq/Coq_NArith_BinNat_N_neq_succ_0' 'h4/thm/arithmetic/SUC_NOT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_add_lt_sub_r' 'h4/thm/real/REAL_LT_ADD_SUB_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftl_mul_pow2'#@#variant 'h4/thm/extreal/sub_rneg_'
0. 'coq/Coq_NArith_BinNat_N_succ_lt_mono' 'h4/thm/numeral/numeral_lte_3'
0. 'coq/Coq_PArith_BinPos_Pos_mul_cancel_l' 'h4/thm/hreal/HRAT_EQ_LMUL_'
0. 'coq/Coq_PArith_Pnat_Nat2Pos_inj_pred' 'h4/thm/extreal/extreal_exp_def_0'
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_l' 'h4/thm/extreal/le_ladd_imp_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_lt_add_r' 'h4/thm/arithmetic/LESS_IMP_LESS_ADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_1_l'#@#variant 'h4/thm/integer/INT_DIVIDES_1_0'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sgn_neg_iff'#@#variant 'h4/thm/intExtension/INT_SGN_CLAUSES_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_lt_iff' 'h4/thm/arithmetic/MIN_LT_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_1_l' 'h4/thm/real/REAL_ADD_LID_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_refl' 'h4/thm/integer/INT_LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_min_r' 'h4/thm/extreal/min_le2_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_le_mono' 'h4/thm/arithmetic/LESS_MONO_EQ_'
0. 'coq/Coq_Reals_R_sqrt_sqrt_pos' 'h4/thm/transc/ATN_BOUNDS_0'#@#variant
0. 'coq/Coq_ZArith_Znat_positive_N_Z' 'h4/thm/ieee/Exponent_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lt_lt_succ_r' 'h4/thm/prim_rec/LESS_SUC_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_eq_cases' 'h4/thm/arithmetic/GREATER_OR_EQ_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_cancel_r' 'h4/thm/arithmetic/EQ_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div_le_mono'#@#variant 'h4/thm/real/REAL_LT_RMUL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_le_mono_pos_l'#@#variant 'h4/thm/transc/RPOW_LE_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_1_l' 'h4/thm/HolSmt/r213_'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_one_neq_zero' 'h4/thm/ieee/ccode_distinct_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_le_compat_r' 'h4/thm/arithmetic/LESS_MONO_MULT_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_square_spec' 'h4/thm/arithmetic/TIMES2_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_pos_l'#@#variant 'h4/thm/logroot/LE_EXP_ISO_'#@#variant
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_incr' 'h4/thm/toto/num_dt_size_def_1'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_le_iff' 'h4/thm/util_prob/X_LE_MAX_'
0. 'coq/Coq_ZArith_Zorder_Zmult_lt_0_le_compat_r'#@#variant 'h4/thm/real/REAL_LE_RMUL_IMP_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_1_succ' 'h4/thm/prim_rec/LESS_0_'
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_Zabs' 'h4/thm/rat/RAT_AINV_CALCULATE_'
0. 'coq/Coq_Reals_Rtrigo_def_sin_antisym' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_pred_double_spec' 'h4/thm/numeral/numeral_suc_1'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_nonneg' 'h4/thm/integral/LT_0_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_succ_l' 'h4/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_le_mono_nonneg_r'#@#variant 'h4/thm/extreal/le_rmul_imp_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_succ_le_pred' 'h4/thm/bit/TWOEXP_LE_IMP_LE_LOG2_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_setbit_spec_prime'#@#variant 'h4/thm/extreal/extreal_div_def_'
0. 'coq/Coq_Reals_RIneq_Rplus_le_compat_r' 'h4/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_lteq' 'h4/thm/integer/INT_LE_CALCULATE_'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_lor' 'h4/thm/transc/EXP_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_lt_mono_r' 'h4/thm/integral/REAL_LE_LMUL1_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftl_1_l'#@#variant 'h4/thm/util_prob/lg_def_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_lt_trans' 'h4/thm/real/REAL_LET_TRANS_'
0. 'coq/Coq_ZArith_Zorder_Zplus_le_compat_l' 'h4/thm/realax/REAL_LT_IADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_ge_cases' 'h4/thm/integer/INT_LE_TOTAL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftl_mul_pow2'#@#variant 'h4/thm/extreal/extreal_sub_add_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_opp' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRLRRRR'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_0_r' 'h4/thm/arithmetic/PRE_SUB1_'#@#variant
0. 'coq/Coq_ZArith_Zpower_two_power_pos_nat' 'h4/thm/rat/RAT_SGN_CALCULATE_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_lub_lt_iff' 'h4/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftl_1_l'#@#variant 'h4/thm/integer/INT_SUB_REDUCE_1'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_le_mono' 'h4/thm/bit/TWOEXP_MONO2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_lub_lt_iff' 'h4/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_gt' 'h4/thm/real/REAL_LE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_le_mono' 'h4/thm/transc/EXP_MONO_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_pred_r' 'h4/thm/arithmetic/ADD_CLAUSES_e3'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_le_mono_l' 'h4/thm/integer/INT_LE_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_inj_wd' 'h4/thm/prim_rec/INV_SUC_EQ_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_le' 'h4/thm/extreal/extreal_lt_eq_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_inj_wd' 'h4/thm/real/REAL_INV_INJ_'
0. 'coq/Coq_ZArith_Zeven_Zodd_plus_Zeven' 'h4/thm/arithmetic/ONE_LT_MULT_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_nonneg_r'#@#variant 'h4/thm/integral/REAL_LE_RMUL1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftl_shiftl' 'h4/thm/logroot/EXP_MUL_'
0. 'coq/Coq_FSets_FSetPositive_PositiveSet_choose_3_prime'#@#variant 'h4/thm/realax/TREAL_BIJ_WELLDEF_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_le_mono_l' 'h4/thm/integer/INT_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pos_pred_succ' 'h4/thm/ASCIInumbers/toNum_toString_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sub_min_distr_l' 'h4/thm/transc/RPOW_ADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_sub' 'h4/thm/integer/INT_SUB_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_nonneg' 'h4/thm/prim_rec/LESS_0_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lcm_divide_iff' 'h4/thm/arithmetic/MAX_LE_e1'
0. 'coq/Coq_Arith_EqNat_eq_eq_nat' 'h4/thm/integer/TINT_EQ_AP_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_opp_r' 'h4/thm/complex/complex_sub_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_1_r' 'h4/thm/HolSmt/r214_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_lt_mono_r' 'h4/thm/arithmetic/LT_ADD_RCANCEL_'
0. 'coq/Coq_QArith_Qround_Qfloor_Z' 'h4/thm/binary_ieee/num2float_compare_float_compare2num_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_div_same'#@#variant 'h4/thm/integer/INT_QUOT_ID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_pos_l'#@#variant 'h4/thm/rat/RAT_LES_LMUL_POS_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lt_neq' 'h4/thm/rat/RAT_LES_IMP_NEQ_'
0. 'coq/Coq_Arith_Factorial_fact_neq_0' 'h4/thm/bit/TWOEXP_NOT_ZERO_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_divide_mono_l' 'h4/thm/integer/INT_LT_LADD_IMP_'
0. 'coq/Coq_NArith_BinNat_N_shiftr_div_pow2'#@#variant 'h4/thm/rat/RAT_SUB_ADDAINV_'
0. 'coq/Coq_ZArith_Znat_Z2Nat_inj_pred' 'h4/thm/extreal/extreal_sqrt_def_0'
0. 'coq/Coq_Reals_RIneq_Rgt_not_ge' 'h4/thm/integer/INT_LET_ANTISYM_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_pred_l' 'h4/thm/numpair/invtri_le_'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_double'#@#variant 'h4/thm/complex/COMPLEX_OF_REAL_INV_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_max_le_compat_r' 'h4/thm/integer/TINT_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_setbit_spec_prime'#@#variant 'h4/thm/integer/INT_SUB_RNEG_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_move_r' 'h4/thm/rat/RAT_RSUB_EQ_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_neg_xO'#@#variant 'h4/thm/extreal/extreal_inv_def_e2'
0. 'coq/Coq_ZArith_Znat_Z2N_inj_neg' 'h4/thm/binary_ieee/float_value_size_def_0'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_nle_gt' 'h4/thm/rat/RAT_LEQ_LES_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lcm_divide_iff' 'h4/thm/arithmetic/MAX_LE_e1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_neq_0_succ' 'h4/thm/transc/EXP_NZ_'#@#variant
0. 'coq/Coq_Bool_Bool_negb_involutive' 'h4/thm/int_bitwise/int_not_not_'
0. 'coq/Coq_Reals_Rfunctions_powerRZ_O' 'h4/thm/integer/INT_EXP_CALCULATE_0'#@#variant
0. 'coq/Coq_Reals_RIneq_le_INR' 'h4/thm/realax/TREAL_ISO_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_succ_l' 'h4/thm/integer/INT_MUL_CALCULATE_1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_le_mono' 'h4/thm/numeral/numeral_lte_e6'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_sub_le_add_r' 'h4/thm/real/REAL_LT_SUB_RADD_'
0. 'coq/Coq_NArith_BinNat_N_add_le_mono_r' 'h4/thm/integer/INT_LT_RADD_'
0. 'coq/Coq_NArith_BinNat_N_lcm_diag' 'h4/thm/gcd/GCD_REF_'
0. 'coq/Coq_Arith_PeanoNat_Nat_succ_lt_mono' 'h4/thm/numpair/tri_LE_'
0. 'coq/Coq_Reals_Rpower_ln_Rinv'#@#variant 'h4/thm/util_prob/neg_lg_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_lt_mono_l' 'h4/thm/integer/LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_le_mono' 'h4/thm/transc/EXP_MONO_LE_'
0. 'coq/Coq_ZArith_BinInt_Z_add_pred_l' 'h4/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_NArith_BinNat_N_le_add_r' 'h4/thm/hreal/HRAT_LT_ADDL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_land_diag' 'h4/thm/gcd/GCD_REF_'
0. 'coq/Coq_Reals_Rfunctions_R_dist_refl' 'h4/thm/rat/RAT_EQ_0SUB_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_nonneg_nonneg' 'h4/thm/realax/TREAL_LT_MUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_divide_cancel_l' 'h4/thm/integer/INT_DIVIDES_MUL_BOTH_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rmax_Rlt' 'h4/thm/extreal/max_le_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_sqrt_2' 'h4/thm/real/REAL_THIRDS_BETWEEN_tLRL'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_shiftl_1_l'#@#variant 'h4/thm/numeral/texp_help_def_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_lt_mono_r' 'h4/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_succ_lt_mono' 'h4/thm/numeral/numeral_distrib_22'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_pred_l' 'h4/thm/extreal/mul_lneg_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_ngt' 'h4/thm/rat/RAT_LES_LEQ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_total' 'h4/thm/realax/REAL_LT_TOTAL_'
0. 'coq/Coq_Reals_RIneq_pos_INR'#@#variant 'h4/thm/extreal/le_num_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_nle_gt' 'h4/thm/HolSmt/r096_'
0. 'coq/Coq_ZArith_BinInt_Z_lxor_lnot_lnot' 'h4/thm/extreal/neg_mul2_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_lt_mono' 'h4/thm/arithmetic/LESS_MONO_EQ_'
0. 'coq/Coq_NArith_BinNat_N_le_antisymm' 'h4/thm/rat/RAT_LEQ_ANTISYM_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mod_1_r'#@#variant 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRL'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_add_1_l' 'h4/thm/util_prob/lg_def_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_1' 'h4/thm/real/REAL_NEG_0_'
0. 'coq/Coq_NArith_BinNat_N_pow_1_r' 'h4/thm/integer/INT_SUB_RZERO_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_factor_r' 'h4/thm/extreal/le_max2_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_div2_double'#@#variant 'h4/thm/prim_rec/PRE_e1'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_gt' 'h4/thm/real/le_int_0'
0. 'coq/Coq_ZArith_BinInt_Z_sub_move_r' 'h4/thm/integer/INT_EQ_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lcm_divide_iff' 'h4/thm/arithmetic/MAX_LE_e1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_opp_opp' 'h4/thm/complex/COMPLEX_NEG_MUL2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_mul_l' 'h4/thm/divides/DIVIDES_MULT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_sub_r' 'h4/thm/divides/DIVIDES_ADD_1_'
0. 'coq/Coq_QArith_QArith_base_Qmult_lt_l'#@#variant 'h4/thm/int_arith/lt_justify_multiplication_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_add_lt_sub_r' 'h4/thm/real/REAL_LE_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_total' 'h4/thm/hreal/HREAL_LT_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_succ_l' 'h4/thm/prim_rec/SUC_LESS_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_succ_m1'#@#variant 'h4/thm/extreal/half_between_e2'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lxor_m1_l'#@#variant 'h4/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_refl' 'h4/thm/hrat/TRAT_EQ_REFL_'#@#variant
0. 'coq/Coq_ZArith_Zgcd_alt_fibonacci_pos'#@#variant 'h4/thm/binary_ieee/zero_lt_twopow_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_gcd_divide_l' 'h4/thm/extreal/min_le1_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_succ_inj_wd' 'h4/thm/arithmetic/LESS_EQ_MONO_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mod_1_r'#@#variant 'h4/thm/arithmetic/EXP_0'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_lt_succ_diag_r' 'h4/thm/arithmetic/LESS_EQ_SUC_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ge_le_iff' 'h4/thm/string/string_gt_def_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_divide_mono_l' 'h4/thm/extreal/le_ladd_imp_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_ge' 'h4/thm/real/REAL_LE_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_refl' 'h4/thm/hrat/TRAT_EQ_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_land_diag' 'h4/thm/arithmetic/MAX_IDEM_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_add_pos_r'#@#variant 'h4/thm/extreal/le_addr_imp_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_w5_spec' 'h4/thm/integerRing/int_is_ring_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_clearbit_spec_prime'#@#variant 'h4/thm/real/real_div_'
0. 'coq/Coq_ZArith_BinInt_Z_divide_pos_le' 'h4/thm/divides/DIVIDES_LE_'
0. 'coq/Coq_Bool_Bool_negb_involutive' 'h4/thm/integer/INT_MUL_CALCULATE_e3'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_le_mono_pos_r'#@#variant 'h4/thm/rat/RAT_LES_RMUL_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mod_1_l'#@#variant 'h4/thm/transc/ONE_RPOW_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pos_pred_succ' 'h4/thm/string_num/n2s_s2n_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_xO_r' 'h4/thm/real/REAL_MUL_RNEG_'
0. 'coq/Coq_ZArith_Zdiv_div_Zdiv' 'h4/thm/integer/INT_MOD_CALCULATE_0'
0. 'coq/Coq_ZArith_Zquot_Zquot_Zquot' 'h4/thm/frac/FRAC_SUB_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_lt_mono_pos_l'#@#variant 'h4/thm/arithmetic/EXP_BASE_LT_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_glb' 'h4/thm/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_factor_l' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_nlt_ge' 'h4/thm/extreal/extreal_lt_def_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_1_l' 'h4/thm/extreal/mul_lzero_'
0. 'coq/Coq_ZArith_BinInt_Zminus_eq' 'h4/thm/extreal/sub_0_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_gcd_divide_iff' 'h4/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_ngt' 'h4/thm/HolSmt/r115_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_le_mono' 'h4/thm/prim_rec/LESS_MONO_'
0. 'coq/Coq_ZArith_BinInt_Z_ones_equiv'#@#variant 'h4/thm/numRing/num_rewrites_tLRLRR'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_lteq' 'h4/thm/extreal/le_lt_'
0. 'coq/Coq_ZArith_Zpower_two_p_correct'#@#variant 'h4/thm/real/REAL_INV_1OVER_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_nonneg' 'h4/thm/transc/ATN_BOUNDS_0'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_le_mono_l' 'h4/thm/realax/HREAL_LT_LADD_'
0. 'coq/Coq_ZArith_BinInt_Z_divide_Zpos' 'h4/thm/extreal/extreal_lt_eq_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_succ_lt_mono' 'h4/thm/integerRing/int_rewrites_tLRRRRLRRR'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_cancel_l' 'h4/thm/real/REAL_LE_LADD_'
0. 'coq/Coq_ZArith_BinInt_Z_succ_le_mono' 'h4/thm/integerRing/int_rewrites_tLRRRLRRR'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_le_trans' 'h4/thm/arithmetic/LESS_LESS_EQ_TRANS_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_iff' 'h4/thm/real/REAL_OF_NUM_EQ_'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_compare' 'h4/thm/toto/charOrd_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lcm_1_l' 'h4/thm/extreal/add_lzero_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_pos'#@#variant 'h4/thm/transc/LN_POS_'#@#variant
0. 'coq/Coq_ZArith_Znat_positive_nat_Z' 'h4/thm/realax/hreal_of_real_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_neg_iff'#@#variant 'h4/thm/intExtension/INT_SGN_CLAUSES_0'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_le_trans' 'h4/thm/rat/RAT_LES_LEQ_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_shuffle3' 'h4/thm/float/REAL_MUL_AC_e2'
0. 'coq/Coq_PArith_BinPos_Pos_divide_xO_xO' 'h4/thm/arithmetic/LESS_MONO_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_succ_diag_r' 'h4/thm/real/ABS_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_lt_mono' 'h4/thm/numeral/numeral_lte_e6'
0. 'coq/Coq_Arith_Plus_le_plus_l' 'h4/thm/integer/INT_DIVIDES_MUL_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_lub' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_e2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_asymm' 'h4/thm/real/REAL_LT_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_lt' 'h4/thm/extreal/abs_bounds_'
0. 'coq/Coq_ZArith_BinInt_Z_mod_1_r'#@#variant 'h4/thm/arithmetic/MOD_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_lnot_diag'#@#variant 'h4/thm/rat/RAT_ADD_RINV_'#@#variant
0. 'coq/Coq_Arith_Min_min_glb' 'h4/thm/divides/DIVIDES_ADD_1_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_le_mono_r_iff' 'h4/thm/real/REAL_LE_LMUL_'
0. 'coq/Coq_Reals_RIneq_Rplus_ge_compat_r' 'h4/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_setbit_spec_prime'#@#variant 'h4/thm/frac/frac_sub_def_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_ge' 'h4/thm/real/le_int_0'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_succ_diag_r' 'h4/thm/numpair/tri_le_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_le_mono' 'h4/thm/transc/EXP_MONO_LT_'
0. 'coq/Coq_NArith_BinNat_N_min_glb_iff' 'h4/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_opp_l' 'h4/thm/HolSmt/r130_'
0. 'coq/Coq_Reals_RIneq_Rgt_asym' 'h4/thm/arithmetic/LESS_ANTISYM_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_succ_r' 'h4/thm/integer/INT_MUL_CALCULATE_2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_succ' 'h4/thm/numeral/numeral_add_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_lt_iff' 'h4/thm/extreal/min_le_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_inj_wd' 'h4/thm/quote/index_11_e1'
0. 'coq/Coq_NArith_BinNat_N_succ_pos_pred' 'h4/thm/numRing/num_ring_thms_e17'#@#variant
0. 'coq/Coq_ZArith_Zpower_two_power_pos_nat' 'h4/thm/extreal/extreal_of_num_def_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_div2' 'h4/thm/extreal/extreal_inv_def_e2'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_nge' 'h4/thm/integer/INT_NOT_LT_'
0. 'coq/Coq_PArith_BinPos_Pos_succ_lt_mono' 'h4/thm/integerRing/int_rewrites_tLRRRLRRR'
0. 'coq/Coq_ZArith_BinInt_Z_rem_opp_l_prime' 'h4/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_ZArith_BinInt_Z_le_lteq' 'h4/thm/integer/INT_LE_CALCULATE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftl_mul_pow2'#@#variant 'h4/thm/real/real_sub_'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_lt_antirefl' 'h4/thm/string/string_lt_nonrefl_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_0_l' 'h4/thm/integer/INT_SUB_REDUCE_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_l' 'h4/thm/arithmetic/LESS_MOD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_add_lt_sub_r' 'h4/thm/real/REAL_LE_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lcm_divide_iff' 'h4/thm/arithmetic/MAX_LE_e1'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_id' 'h4/thm/frac/frac_tybij_0'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_glb_iff' 'h4/thm/arithmetic/MIN_LE_e1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_le_lt_mono' 'h4/thm/real/REAL_LET_ADD2_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_le_mono' 'h4/thm/numeral/numeral_distrib_28'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_pos'#@#variant 'h4/thm/real/POW_2_LE1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_nonneg_r'#@#variant 'h4/thm/integral/REAL_LE_RMUL1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_sub_le_add_r' 'h4/thm/integer/INT_LT_SUB_RADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_le_mono_r' 'h4/thm/integer/INT_LT_RADD_'
0. 'coq/Coq_ZArith_BinInt_Zpred_succ' 'h4/thm/numeral/numeral_add_0'#@#variant
0. 'coq/Coq_NArith_BinNat_N_ge_le_iff' 'h4/thm/rat/rat_geq_def_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_nonneg_pos'#@#variant 'h4/thm/extreal/lte_mul_'#@#variant
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_lt_not_gt' 'h4/thm/integer/INT_LT_GT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_succ_diag_r' 'h4/thm/prim_rec/LESS_SUC_REFL_'
0. 'coq/Coq_ZArith_Znat_Zabs2Nat_inj_le'#@#variant 'h4/thm/float/FLOAT_LE_'
0. 'coq/Coq_QArith_QOrderedType_QOrder_not_ge_lt' 'h4/thm/integer/INT_LTE_TOTAL_'
0. 'coq/Coq_ZArith_BinInt_Zsucc_pred' 'h4/thm/string/IMPLODE_EXPLODE_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_nlt_1_r' 'h4/thm/bit/BIT_ZERO_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_cancel_r' 'h4/thm/arithmetic/EQ_ADD_RCANCEL_'
0. 'coq/Coq_ZArith_Znat_positive_N_nat' 'h4/thm/rat/rat_dnm_def_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_neg_iff' 'h4/thm/integerRing/int_calculate_8'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_even_1' 'h4/thm/ieee/Minus_zero_'#@#variant
0. 'coq/Coq_ZArith_Znat_positive_nat_N' 'h4/thm/realax/hreal_of_real_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rnot_lt_le' 'h4/thm/real/REAL_LET_TOTAL_'
0. 'coq/Coq_ZArith_Zorder_Zplus_gt_compat_l' 'h4/thm/integer/INT_LT_LADD_IMP_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lnot_0_l' 'h4/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_PI_neq0' 'h4/thm/binary_ieee/float_compare_distinct_0'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_pred_sub' 'h4/thm/arithmetic/PRE_SUB1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_1' 'h4/thm/intExtension/INT_ABS_CALCULATE_0_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_nge' 'h4/thm/integer/int_le_'
0. 'coq/Coq_ZArith_Znat_Z_nat_N' 'h4/thm/complex/MODU_NUM_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_le_max_l' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_0'
0. 'coq/Coq_QArith_QArith_base_Qplus_inj_r' 'h4/thm/arithmetic/LESS_MONO_ADD_EQ_'
0. 'coq/Coq_QArith_Qcanon_Qcle_lt_trans' 'h4/thm/real/REAL_LET_TRANS_'
0. 'coq/Coq_ZArith_BinInt_Z_add_cancel_l' 'h4/thm/hreal/HRAT_EQ_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftl_1_l'#@#variant 'h4/thm/HolSmt/r128_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_xO_r' 'h4/thm/complex/COMPLEX_MUL_RNEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_ge_le_iff' 'h4/thm/arithmetic/GREATER_DEF_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_lt_mono_r' 'h4/thm/real/REAL_LE_SUB_CANCEL2_'
0. 'coq/Coq_ZArith_Znat_Z2N_inj_div2' 'h4/thm/rat/RAT_AINV_CALCULATE_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_eq_cases' 'h4/thm/integer/INT_LE_CALCULATE_'
0. 'coq/Coq_PArith_BinPos_Pos_succ_le_mono' 'h4/thm/numeral/numeral_lte_3'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_asymm' 'h4/thm/integer/INT_LT_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_1_succ' 'h4/thm/integral/LT_0_'
0. 'coq/Coq_Strings_Ascii_ascii_nat_embedding' 'h4/thm/realax/TREAL_BIJ_0'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_le_iff' 'h4/thm/arithmetic/MIN_LE_0'
0. 'coq/Coq_Strings_Ascii_ascii_N_embedding' 'h4/thm/real/NUM_FLOOR_EQNS_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_le_mono' 'h4/thm/real/REAL_POS_MONO_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_le_compat_l' 'h4/thm/realax/TREAL_LT_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sub_le_mono_r' 'h4/thm/hrat/TRAT_MUL_WELLDEFINED_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_lt_mono_r' 'h4/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_ldiff_diag' 'h4/thm/rat/RAT_SUB_ID_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_max_le_compat_l' 'h4/thm/extreal/le_ladd_imp_'
0. 'coq/Coq_ZArith_Zquot_Zrem_opp_l' 'h4/thm/arithmetic/PRE_SUB_'
0. 'coq/Coq_Reals_Rfunctions_fact_simpl' 'h4/thm/arithmetic/FACT_e1'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div2_double' 'h4/thm/numeral_bit/NUMERAL_iDIV2_2'
0. 'coq/Coq_QArith_Qpower_Qsqr_nonneg'#@#variant 'h4/thm/extreal/le_pow2_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_sqrt' 'h4/thm/complex/COMPLEX_OF_REAL_NEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_wf_0' 'h4/thm/arithmetic/transitive_LESS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_nonneg_nonneg' 'h4/thm/arithmetic/LESS_MULT2_'
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_nonneg_l'#@#variant 'h4/thm/real/REAL_LE_LMUL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_diag' 'h4/thm/gcd/GCD_REF_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_inj_wd' 'h4/thm/numeral/numeral_eq_e7'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_sub_lt_add_r' 'h4/thm/integer/INT_LE_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_succ_l' 'h4/thm/integer/INT_NEG_LMUL_'
0. 'coq/Coq_QArith_QArith_base_Zle_Qle' 'h4/thm/integer/INT_LT_CALCULATE_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_le' 'h4/thm/extreal/abs_bounds_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lxor_m1_l'#@#variant 'h4/thm/numeral/texp_help_def_0'
0. 'coq/Coq_ZArith_BinInt_Z_add_succ_r' 'h4/thm/extreal/mul_rneg_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_divide_r' 'h4/thm/real/REAL_MIN_LE2_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_land_diag' 'h4/thm/extreal/min_refl_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_1_l' 'h4/thm/real/REAL_SUB_LZERO_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_max_r' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_1'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_succ_diag_r' 'h4/thm/real/ABS_LE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_lt_mono_l' 'h4/thm/realax/HREAL_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lxor_nilpotent' 'h4/thm/arithmetic/SUB_EQUAL_0_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_succ_r' 'h4/thm/frac/FRAC_AINV_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_0_r' 'h4/thm/arithmetic/LE_0'
0. 'coq/Coq_PArith_BinPos_Pos_lt_add_diag_r' 'h4/thm/integer/INT_DIVIDES_MUL_0'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_xO'#@#variant 'h4/thm/quote/index_size_def_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_inj_wd' 'h4/thm/numpair/tri_11_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_divide_mono_r' 'h4/thm/extreal/le_radd_imp_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_opp_opp' 'h4/thm/complex/COMPLEX_NEG_MUL2_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_of_Z' 'h4/thm/ASCIInumbers/toNum_toString_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_nlt' 'h4/thm/integer/int_le_'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_one_neq_zero' 'h4/thm/binary_ieee/rounding_distinct_1'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lcm_diag' 'h4/thm/gcd/GCD_REF_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_lt_mono_r' 'h4/thm/integer/INT_LE_RADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_add_le' 'h4/thm/real/REAL_ABS_TRIANGLE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_le_lin' 'h4/thm/numpair/invtri_le_'
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_divide_l' 'h4/thm/real/REAL_MIN_LE1_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_succ_pred_double' 'h4/thm/numeral/numeral_suc_1'
0. 'coq/Coq_QArith_Qreduction_Qred_opp' 'h4/thm/complex/COMPLEX_INV_NEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_null_iff' 'h4/thm/integer/INT_QUOT_CALCULATE_3'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_cancel_r' 'h4/thm/complex/COMPLEX_EQ_RADD_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_total' 'h4/thm/string/string_lt_cases_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_m1' 'h4/thm/rat/rat_0_'
0. 'coq/Coq_Reals_Rfunctions_Rle_pow' 'h4/thm/extreal/pow_le_mono_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_pos'#@#variant 'h4/thm/real/REAL_LT_INV_EQ_'#@#variant
0. 'coq/Coq_ZArith_Znat_positive_N_Z' 'h4/thm/complex/MODU_NUM_'#@#variant
0. 'coq/Coq_Reals_RIneq_Ropp_mult_distr_r_reverse' 'h4/thm/integer/INT_NEG_RMUL_'
0. 'coq/Coq_Arith_Wf_nat_lt_wf' 'h4/thm/nets/DORDER_NGE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_lt_mono_r' 'h4/thm/arithmetic/LE_ADD_RCANCEL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mod_1_r'#@#variant 'h4/thm/integer/INT_MOD_1_'#@#variant
0. 'coq/Coq_Reals_RIneq_Ropp_mult_distr_r_reverse' 'h4/thm/arithmetic/ADD_CLAUSES_e3'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_compare_eq_iff' 'h4/thm/quote/compare_index_equal_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_lxor_r' 'h4/thm/complex/COMPLEX_NEG_RDIV_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_log2' 'h4/thm/toto/num_dt_size_def_e2'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qlt_irrefl' 'h4/thm/realax/HREAL_LT_REFL_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_double_plus_one' 'h4/thm/toto/num_dt_size_def_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_add_le_sub_r' 'h4/thm/integer/INT_LT_SUB_RADD_'
0. 'coq/Coq_ZArith_Znat_Zabs2Nat_inj_neg' 'h4/thm/rat/rat_nmr_def_'
0. 'coq/Coq_QArith_QOrderedType_QOrder_lt_le_trans' 'h4/thm/arithmetic/LESS_LESS_EQ_TRANS_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_le_mono' 'h4/thm/integer/TINT_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lxor_m1_r'#@#variant 'h4/thm/arithmetic/ADD1_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_lt_mono_l' 'h4/thm/hreal/HRAT_LT_LMUL_'
0. 'coq/Coq_ZArith_BinInt_Z_gcd_divide_iff' 'h4/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_pos_r'#@#variant 'h4/thm/rat/RAT_LES_RMUL_POS_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_1_l' 'h4/thm/HolSmt/r079_'
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_factor_l' 'h4/thm/integer/INT_DIVIDES_MUL_0'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_succ_diag_r' 'h4/thm/prim_rec/LESS_SUC_SUC_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_le_mono_nonneg_l'#@#variant 'h4/thm/integral/REAL_LE_LMUL1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lxor_m1_l'#@#variant 'h4/thm/rat/RAT_SUB_LID_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_square_spec' 'h4/thm/arithmetic/TIMES2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_lt_lin'#@#variant 'h4/thm/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_nonneg_nonneg' 'h4/thm/arithmetic/LESS_MULT2_'
0. 'coq/Coq_Reals_RIneq_Ropp_Ropp_IZR' 'h4/thm/toto/num_dt_size_def_e2'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pow_0_r'#@#variant 'h4/thm/integer/INT_MOD_1_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_succ_r' 'h4/thm/real/REAL_MUL_RNEG_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_id' 'h4/thm/integer/NUM_OF_INT_'
0. 'coq/Coq_ZArith_Zorder_Zsucc_gt_compat' 'h4/thm/transc/EXP_MONO_IMP_'
0. 'coq/Coq_Arith_Plus_plus_le_compat_r' 'h4/thm/integer/TINT_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftl_mul_pow2'#@#variant 'h4/thm/HolSmt/r224_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_le_mono' 'h4/thm/prim_rec/LESS_MONO_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_ngt' 'h4/thm/arithmetic/NOT_LESS_EQUAL_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_of_Qc' 'h4/thm/ieee/num2roundmode_roundmode2num_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_opp_r' 'h4/thm/real/real_sub_'
0. 'coq/Coq_NArith_BinNat_N_log2_lt_lin'#@#variant 'h4/thm/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_nlt_1_r' 'h4/thm/extreal/lt_infty_3'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_succ_r' 'h4/thm/frac/FRAC_AINV_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_double_twice'#@#variant 'h4/thm/real/REAL_NEG_MINUS1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_1_r' 'h4/thm/rat/RAT_ADD_RID_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_le_mono_l' 'h4/thm/real/REAL_LE_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_rem_opp_l_prime' 'h4/thm/frac/FRAC_AINV_LMUL_'
0. 'coq/Coq_Arith_Div2_div2_double'#@#variant 'h4/thm/numeral_bit/NUMERAL_iDIV2_2'
0. 'coq/Coq_QArith_Qminmax_Q_le_max_r' 'h4/thm/integer/INT_DIVIDES_MUL_e1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_0_sub'#@#variant 'h4/thm/extreal/sub_zero_le_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_nonneg' 'h4/thm/divides/ZERO_LT_PRIMES_'
0. 'coq/Coq_NArith_BinNat_N_sqrt_le_mono' 'h4/thm/numpair/tri_LT_I_'
0. 'coq/Coq_Reals_R_sqrt_sqrt_lt_R0'#@#variant 'h4/thm/transc/SQRT_POS_LT_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mod_same' 'h4/thm/integer/INT_REM_ID_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_le_compat_r' 'h4/thm/extreal/le_radd_imp_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_nge' 'h4/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_inj_wd' 'h4/thm/prim_rec/INV_SUC_EQ_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_succ_l' 'h4/thm/frac/FRAC_AINV_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_nlt_0_r' 'h4/thm/prim_rec/NOT_LESS_0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_pos'#@#variant 'h4/thm/real/REAL_LT_INV_EQ_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lcm_divide_iff' 'h4/thm/extreal/max_le_'
0. 'coq/Coq_NArith_BinNat_N_le_add_r' 'h4/thm/real/REAL_LE_MAX1_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_lt_mono' 'h4/thm/transc/EXP_MONO_LE_'
0. 'coq/Coq_NArith_BinNat_N_le_lteq' 'h4/thm/arithmetic/LESS_OR_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_id' 'h4/thm/gcd/GCD_REF_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_succ_inj_wd' 'h4/thm/numeral/numeral_distrib_28'
0. 'coq/Coq_ZArith_BinInt_Zmult_succ_l_reverse' 'h4/thm/arithmetic/MULT_CLAUSES_4'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_even' 'h4/thm/extreal/extreal_of_num_def_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_le_mono_r' 'h4/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_pow' 'h4/thm/complex/COMPLEX_NEG_LDIV_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_factor_r' 'h4/thm/extreal/le_max2_'
0. 'coq/Coq_QArith_QArith_base_Qmult_lt_compat_r'#@#variant 'h4/thm/real/REAL_LE_RMUL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_opp_l' 'h4/thm/frac/FRAC_AINV_LMUL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_nonneg_pos'#@#variant 'h4/thm/util_prob/REAL_LT_LE_MUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ldiff_m1_l'#@#variant 'h4/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_0_r_nonneg'#@#variant 'h4/thm/transc/RPOW_1_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_pred_succ' 'h4/thm/string/EXPLODE_IMPLODE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_le_mono' 'h4/thm/hrat/TRAT_INV_WELLDEFINED_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_lt_le_incl' 'h4/thm/arithmetic/LESS_IMP_LESS_OR_EQ_'
0. 'coq/Coq_Reals_Rpower_exp_increasing' 'h4/thm/numpair/tri_LT_I_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_lor' 'h4/thm/transc/EXP_ADD_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_phi' 'h4/thm/binary_ieee/num2float_compare_float_compare2num_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_le_mono' 'h4/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_null_iff' 'h4/thm/real/REAL_INV_EQ_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_nonneg_r'#@#variant 'h4/thm/integral/REAL_LE_RMUL1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sub_add_distr' 'h4/thm/logroot/EXP_MUL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_le_compat_l' 'h4/thm/extreal/le_ladd_imp_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_testbit' 'h4/thm/toto/charOrd_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_irrefl' 'h4/thm/integer/TINT_LT_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_succ_inj_wd' 'h4/thm/integer/INT_EQ_CALCULATE_1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_le_iff' 'h4/thm/real/REAL_MIN_LE_'
0. 'coq/Coq_Strings_Ascii_ascii_N_embedding' 'h4/thm/toto/cpn_BIJ_0'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_1_l' 'h4/thm/util_prob/lg_def_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pos_pred_succ' 'h4/thm/frac/frac_bij_0'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_lt_mono_pos_r'#@#variant 'h4/thm/real/REAL_LT_RDIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_succ_le_mono' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_digits/0' 'h4/thm/realax/REAL_POS_'
0. 'coq/Coq_ZArith_Zorder_Zle_0_pos'#@#variant 'h4/thm/realax/REAL_POS_'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_lt' 'h4/thm/integer/INT_LT_CALCULATE_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_nonneg'#@#variant 'h4/thm/real/REAL_LE_MUL2_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_nlt_ge' 'h4/thm/HolSmt/r115_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_glb_iff' 'h4/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_testbit_even_0'#@#variant 'h4/thm/toto/numeralOrd_4'
0. 'coq/Coq_QArith_QArith_base_Qle_refl' 'h4/thm/arithmetic/LESS_EQ_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_le_trans' 'h4/thm/rat/RAT_LES_LEQ_TRANS_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_of_Z' 'h4/thm/frac/frac_tybij_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_compare_succ_succ' 'h4/thm/toto/numeralOrd_5'
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_0_r' 'h4/thm/extreal/le_infty_tRL'
0. 'coq/Coq_Reals_Ranalysis4_sinh_lt' 'h4/thm/hrat/TRAT_INV_WELLDEFINED_'#@#variant
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_pred' 'h4/thm/toto/num_dt_size_def_1'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_glb_iff' 'h4/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_move_r' 'h4/thm/complex/COMPLEX_EQ_SUB_RADD_'#@#variant
0. 'coq/Coq_MMaps_MMapWeakList_Some_iff' 'h4/thm/option/SOME_11_'
0. 'coq/Coq_Bool_Bool_diff_true_false' 'h4/thm/extreal/ne_01_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_nlt_ge' 'h4/thm/rat/RAT_LEQ_LES_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_le_mono' 'h4/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_lt_mono_pos_l'#@#variant 'h4/thm/real/REAL_LT_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_sub_r' 'h4/thm/divides/DIVIDES_ADD_1_'
0. 'coq/Coq_Arith_PeanoNat_Nat_setbit_spec_prime'#@#variant 'h4/thm/frac/frac_div_def_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_2' 'h4/thm/transc/COS_2_'#@#variant
0. 'coq/Coq_QArith_Qround_Qfloor_resp_le' 'h4/thm/realax/TREAL_ISO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_le_compat_l' 'h4/thm/real/REAL_LT_IADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_pos_nonneg'#@#variant 'h4/thm/util_prob/REAL_LE_LT_MUL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_rem_opp_l_prime' 'h4/thm/complex/COMPLEX_NEG_LDIV_'#@#variant
0. 'coq/Coq_Reals_ROrderedType_ROrder_TO_le_lteq' 'h4/thm/integer/INT_LE_CALCULATE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftl_mul_pow2'#@#variant 'h4/thm/rat/RAT_SUB_ADDAINV_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_1' 'h4/thm/transc/COS_2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_opp_opp' 'h4/thm/complex/COMPLEX_NEG_MUL2_'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_iff' 'h4/thm/integer/INT_MOD_CALCULATE_3'
0. 'coq/Coq_ZArith_BinInt_Z_opp_inj' 'h4/thm/num/INV_SUC_'
0. 'coq/Coq_Reals_Rminmax_R_max_le_compat_l' 'h4/thm/integer/INT_LT_LADD_IMP_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_le_compat_r' 'h4/thm/arithmetic/LESS_MONO_MULT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_id' 'h4/thm/extreal/min_refl_'
0. 'coq/Coq_ZArith_Znat_Zabs2Nat_inj_neg' 'h4/thm/ieee/Fraction_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_nlt_ge' 'h4/thm/HolSmt/r115_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_neg_iff' 'h4/thm/complex/COMPLEX_OF_REAL_EQ_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_succ_diag_r' 'h4/thm/arithmetic/LESS_EQ_SUC_REFL_'
0. 'coq/Coq_QArith_Qminmax_Q_min_glb_lt' 'h4/thm/divides/DIVIDES_SUB_'
0. 'coq/Coq_Structures_DecidableTypeEx_Z_as_DT_lt_not_eq' 'h4/thm/prim_rec/LESS_NOT_EQ_'
0. 'coq/Coq_ZArith_BinInt_Z_gcd_0_r' 'h4/thm/arithmetic/DIV2_def_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lor_eq_0_iff' 'h4/thm/arithmetic/MULT_EQ_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_le_mono' 'h4/thm/real/REAL_LT_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_asymm' 'h4/thm/integer/INT_LT_GT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_lub_iff' 'h4/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_Reals_RIneq_Rle_0_1' 'h4/thm/extreal/lt_infty_2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_double'#@#variant 'h4/thm/util_prob/neg_lg_'#@#variant
0. 'coq/Coq_ZArith_Znat_Z2N_inj_le'#@#variant 'h4/thm/float/FLOAT_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_le_mono_r' 'h4/thm/arithmetic/LESS_EQ_MONO_ADD_EQ_'
0. 'coq/Coq_ZArith_Zeven_Zodd_not_Zeven' 'h4/thm/float/FLOAT_DISTINCT_4'
0. 'coq/Coq_NArith_BinNat_N_add_le_mono_l' 'h4/thm/real/REAL_LT_LADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pow_lt_mono_r'#@#variant 'h4/thm/extreal/le_lmul_imp_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sub_min_distr_l' 'h4/thm/arithmetic/EXP_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_rem_1_r'#@#variant 'h4/thm/arithmetic/MOD_1_'#@#variant
0. 'coq/Coq_Reals_Rpower_exp_Ropp' 'h4/thm/numeral/numeral_suc_e2'
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_pos_l'#@#variant 'h4/thm/integer/INT_LT_MONO_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_clearbit_spec_prime'#@#variant 'h4/thm/extreal/extreal_sub_add_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_lt_mono_r_iff'#@#variant 'h4/thm/arithmetic/EXP_BASE_LE_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_gt_cases' 'h4/thm/real/REAL_LET_TOTAL_'
0. 'coq/Coq_Reals_ROrderedType_ROrder_le_refl' 'h4/thm/integer/INT_LE_REFL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_succ_lt_mono' 'h4/thm/numeral/numeral_lt_3'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_pos_pos' 'h4/thm/binary_ieee/le2_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_pred_r' 'h4/thm/complex/COMPLEX_NEG_RDIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_0_sub' 'h4/thm/arithmetic/SUB_LESS_0_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_add_r' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_nlt_ge' 'h4/thm/extreal/extreal_lt_def_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_lt_lin'#@#variant 'h4/thm/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_1' 'h4/thm/rat/rat_0_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_divide_mono_l' 'h4/thm/real/REAL_LT_IADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_pos_cancel_l'#@#variant 'h4/thm/real/REAL_LT_LMUL_0_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rplus_ge_compat_r' 'h4/thm/hrat/TRAT_ADD_WELLDEFINED_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lor_diag' 'h4/thm/extreal/min_refl_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_setbit_spec_prime'#@#variant 'h4/thm/extreal/extreal_sub_add_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_lt_trans' 'h4/thm/rat/RAT_LEQ_LES_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_eq_mul_0_r' 'h4/thm/extreal/add_not_infty_0'
0. 'coq/__constr_Coq_Lists_List_Exists_0_2' 'h4/thm/llist/exists_rules_e1'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_gt_lt_iff' 'h4/thm/rat/rat_gre_def_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_iff' 'h4/thm/patricia_casts/string_to_num_11_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_1_r' 'h4/thm/rat/RAT_SUB_RID_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_odd' 'h4/thm/ieee/Sign_'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_le' 'h4/thm/integer/INT_LT_CALCULATE_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_lt_mono_nonneg'#@#variant 'h4/thm/real/REAL_LE_MUL2_'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_compare_Lt' 'h4/thm/quote/index_lt_def_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_gt' 'h4/thm/extreal/extreal_lt_eq_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sub_succ' 'h4/thm/integer/INT_NEG_MUL2_'
0. 'coq/Coq_PArith_BinPos_Pos_compare_xO_xO' 'h4/thm/toto/qk_numeralOrd_5'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_digits/0'#@#variant 'h4/thm/complex/MODU_POS_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_lub_lt_iff' 'h4/thm/arithmetic/MAX_LT_e1'
0. 'coq/Coq_ZArith_Zorder_Zsucc_le_compat' 'h4/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_inj_wd' 'h4/thm/integer/INT_EQ_CALCULATE_1'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_lt_mono' 'h4/thm/numeral/numeral_lte_e6'
0. 'coq/Coq_Reals_RIneq_Rgt_asym' 'h4/thm/extreal/lt_antisym_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_setbit_spec_prime'#@#variant 'h4/thm/real/real_div_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_lt_mono_pos_l'#@#variant 'h4/thm/int_arith/justify_divides_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_pred_le_mono' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div_same'#@#variant 'h4/thm/real/REAL_DIV_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_lt_iff' 'h4/thm/real/REAL_LE_MAX_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_le_mono_nonneg_r'#@#variant 'h4/thm/real/REAL_LT_RMUL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mod_small' 'h4/thm/arithmetic/LESS_MOD_'
0. 'coq/Coq_ZArith_BinInt_Z_le_sub_le_add_r' 'h4/thm/real/REAL_LE_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_nge' 'h4/thm/arithmetic/NOT_LESS_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_succ_le_mono' 'h4/thm/arithmetic/LESS_MONO_EQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_alt_dichotomy' 'h4/thm/arithmetic/LESS_EQ_CASES_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_land' 'h4/thm/complex/COMPLEX_EXP_SUB_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_succ_r' 'h4/thm/arithmetic/ADD_CLAUSES_e3'
0. 'coq/Coq_Reals_ROrderedType_R_as_OT_le_lteq' 'h4/thm/integer/INT_LE_CALCULATE_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lcm_assoc' 'h4/thm/hrat/TRAT_MUL_ASSOC_'#@#variant
0. 'coq/Coq_Reals_Rfunctions_poly'#@#variant 'h4/thm/integral/REAL_POW_LBOUND_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_ldiff_m1_l'#@#variant 'h4/thm/integer/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_1_r' 'h4/thm/integer/INT_ADD_REDUCE_1'
0. 'coq/Coq_NArith_BinNat_N_le_sub_le_add_r' 'h4/thm/integer/INT_LE_SUB_LADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_le_compat_l' 'h4/thm/integer/INT_LT_LADD_IMP_'
0. 'coq/Coq_PArith_BinPos_Pos_sub_add' 'h4/thm/hreal/HREAL_SUB_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_1_l'#@#variant 'h4/thm/numeral/texp_help_def_0'
0. 'coq/Coq_PArith_Pnat_SuccNat2Pos_inj_succ' 'h4/thm/rat/RAT_AINV_CALCULATE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_succ_l' 'h4/thm/frac/FRAC_AINV_LMUL_'
0. 'coq/Coq_Arith_Mult_mult_le_compat_r' 'h4/thm/arithmetic/LESS_MONO_MULT_'
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_le_mono' 'h4/thm/real/REAL_POS_MONO_'
0. 'coq/Coq_ZArith_BinInt_Z_div_pos'#@#variant 'h4/thm/extreal/lte_add_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_nonneg_nonneg' 'h4/thm/realax/REAL_LT_MUL_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_opp' 'h4/thm/quote/index_size_def_0'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_id' 'h4/thm/binary_ieee/float_compare_BIJ_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_pred_l' 'h4/thm/bit/BIT_LOG2_'
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_add_r' 'h4/thm/divides/DIVIDES_ADD_1_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_cancel_r' 'h4/thm/real/REAL_EQ_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_lt_trans' 'h4/thm/extreal/let_trans_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_le_mono' 'h4/thm/hrat/TRAT_INV_WELLDEFINED_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_eq_opp_r' 'h4/thm/rat/RAT_AINV_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_le_mono_l' 'h4/thm/integer/TINT_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_inj_wd' 'h4/thm/quote/index_11_e1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_nge' 'h4/thm/integer/INT_NOT_LT_'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_le_mono_r_iff'#@#variant 'h4/thm/transc/RPOW_LE_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_involutive' 'h4/thm/integer/INT_QUOT_CALCULATE_e4'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_total' 'h4/thm/real/REAL_LT_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_0_r'#@#variant 'h4/thm/util_prob/logr_1_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_nle_gt' 'h4/thm/integer/int_le_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lnot_ones' 'h4/thm/hreal/HREAL_MUL_LINV_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_lt_mono_l' 'h4/thm/rat/RAT_LES_LADD_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_opp' 'h4/thm/extreal/extreal_exp_def_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_cancel_l' 'h4/thm/complex/COMPLEX_EQ_LADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_refl' 'h4/thm/integer/TINT_EQ_REFL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_sub_r' 'h4/thm/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_max_r' 'h4/thm/real/REAL_LE_MAX2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_testbit_even_0'#@#variant 'h4/thm/toto/numeralOrd_3'
0. 'coq/Coq_ZArith_BinInt_Z_add_succ_l' 'h4/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_lt_iff' 'h4/thm/arithmetic/MIN_LE_0'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_odd' 'h4/thm/rat/rat_sgn_def_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pos_pred_succ' 'h4/thm/rat/RAT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div_1_r' 'h4/thm/rat/RAT_ADD_RID_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_pred_l' 'h4/thm/integer/INT_MUL_CALCULATE_1'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_ge_le_iff' 'h4/thm/integer/INT_GT_CALCULATE_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_le_min_l' 'h4/thm/arithmetic/SUB_LESS_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_neq' 'h4/thm/real/REAL_LT_IMP_NE_'
0. 'coq/Coq_Lists_List_hd_error_nil' 'h4/thm/llist/LHD_THM_0'
0. 'coq/Coq_ZArith_BinInt_Z_lt_le_trans' 'h4/thm/arithmetic/LESS_LESS_EQ_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_succ_l' 'h4/thm/extreal/mul_lneg_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sub_succ' 'h4/thm/real/REAL_NEG_MUL2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_opp_r' 'h4/thm/frac/FRAC_AINV_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_add_r' 'h4/thm/arithmetic/LESS_EQ_ADD_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Ring31_eqb31_eq' 'h4/thm/quote/compare_index_equal_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_succ_diag_r' 'h4/thm/numpair/tri_le_'
0. 'coq/Coq_PArith_BinPos_Pos_max_lub_lt_iff' 'h4/thm/arithmetic/MAX_LE_e1'
0. 'coq/Coq_Reals_Rminmax_R_OT_lt_total' 'h4/thm/string/string_lt_cases_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div_le_mono'#@#variant 'h4/thm/extreal/le_rmul_imp_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rge_refl' 'h4/thm/hrat/TRAT_EQ_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_eq_opp_l' 'h4/thm/rat/RAT_AINV_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_le_incl' 'h4/thm/integer/INT_LT_IMP_LE_'
0. 'coq/Coq_ZArith_BinInt_Zpos_eq_iff' 'h4/thm/binary_ieee/float_compare2num_11_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_succ_r' 'h4/thm/rat/RAT_AINV_RMUL_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_succ_m1'#@#variant 'h4/thm/real/REAL_HALF_BETWEEN_e2'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lcm_1_l'#@#variant 'h4/thm/numeral/numeral_texp_help_0'
0. 'coq/Coq_PArith_BinPos_Pos_add_lt_mono_l' 'h4/thm/arithmetic/LE_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_refl' 'h4/thm/divides/DIVIDES_REFL_'
0. 'coq/Coq_Reals_RIneq_Rgt_ge_trans' 'h4/thm/real/REAL_LTE_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_add_lt_sub_r' 'h4/thm/rat/RAT_RSUB_LES_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_add_r' 'h4/thm/divides/DIVIDES_SUB_'
0. 'coq/Coq_Arith_Plus_plus_le_compat_r' 'h4/thm/extreal/le_radd_imp_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_pos'#@#variant 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_NArith_BinNat_N_setbit_spec_prime'#@#variant 'h4/thm/integer/INT_SUB_CALCULATE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_inj_wd' 'h4/thm/real/REAL_INV_INJ_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_ge' 'h4/thm/extreal/extreal_lt_eq_'
0. 'coq/Coq_ZArith_Znat_Zabs2N_inj_pos' 'h4/thm/extreal/extreal_of_num_def_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_eq_cases' 'h4/thm/integer/INT_LE_CALCULATE_'
0. 'coq/Coq_Reals_Rtrigo_calc_sqrt2_neq_0'#@#variant 'h4/thm/binary_ieee/rounding_distinct_1'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_refl' 'h4/thm/poly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_quot_1_r' 'h4/thm/extreal/sub_rzero_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_lt_iff' 'h4/thm/arithmetic/MAX_LE_0'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_succ_l' 'h4/thm/complex/COMPLEX_NEG_LMUL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_refl' 'h4/thm/real/REAL_LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_triangle' 'h4/thm/real/REAL_ABS_TRIANGLE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_add_distr' 'h4/thm/arithmetic/EXP_EXP_MULT_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_nlt_0_r' 'h4/thm/bit/BIT_ZERO_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_sub_swap' 'h4/thm/int_arith/move_sub_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_le_compat_l' 'h4/thm/integer/INT_LT_LADD_IMP_'
0. 'coq/Coq_Reals_ROrderedType_ROrder_not_gt_le' 'h4/thm/integer/INT_LET_TOTAL_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_of_Qc_bis' 'h4/thm/extreal/lt_infty_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_Zpos' 'h4/thm/string/char_gt_def_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_neq_0_succ' 'h4/thm/bit/TWOEXP_NOT_ZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_divide_r' 'h4/thm/real/REAL_MIN_LE2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_eq_le_incl' 'h4/thm/realax/TREAL_EQ_AP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftr_opp_r' 'h4/thm/frac/frac_sub_def_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_1_r' 'h4/thm/arithmetic/DIV_ONE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_nonneg_nonneg' 'h4/thm/realax/REAL_LT_MUL_'
0. 'coq/Coq_ZArith_Znat_positive_N_Z' 'h4/thm/rat/rat_nmr_def_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_le_mono' 'h4/thm/integer/TINT_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_0_mul_prime'#@#variant 'h4/thm/arithmetic/ODD_MULT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_lt_mono_l' 'h4/thm/arithmetic/LE_ADD_LCANCEL_'
0. 'coq/Coq_PArith_BinPos_Pos_compare_xI_xI' 'h4/thm/toto/num_dtOrd_7'
0. 'coq/Coq_Init_Peano_O_S' 'h4/thm/arithmetic/SUC_NOT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_succ_le_mono' 'h4/thm/integerRing/int_rewrites_tRRRRRRLRRRR'
0. 'coq/Coq_NArith_BinNat_N_mul_pos_cancel_r'#@#variant 'h4/thm/real/REAL_LT_RMUL_0_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_divide_xO_xO' 'h4/thm/arithmetic/LESS_EQ_MONO_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_rem_opp_l_prime' 'h4/thm/arithmetic/ADD_CLAUSES_2'
0. 'coq/Coq_ZArith_BinInt_Z_succ_lt_mono' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_1' 'h4/thm/real/REAL_INV_0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_1' 'h4/thm/extreal/neg_0_'
0. 'coq/Coq_Reals_RIneq_Rmult_lt_0_compat' 'h4/thm/integer/TINT_LT_MUL_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_pos_cancel_r'#@#variant 'h4/thm/real/REAL_LT_RDIV_0_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_succ_le_mono' 'h4/thm/numeral/numeral_distrib_22'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_simpl_l' 'h4/thm/real/REAL_ADD_SUB_'
0. 'coq/Coq_Reals_Ratan_ps_atan_opp' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRL'
0. 'coq/Coq_ZArith_BinInt_Z_le_refl' 'h4/thm/divides/DIVIDES_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gt_lt_iff' 'h4/thm/string/string_ge_def_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_divide_l' 'h4/thm/real/REAL_MIN_LE1_'
0. 'coq/Coq_Arith_Factorial_fact_neq_0' 'h4/thm/arithmetic/SUC_NOT_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_succ_diag_r' 'h4/thm/numpair/tri_le_'
0. 'coq/Coq_ZArith_Znat_Z2N_inj_pos' 'h4/thm/realax/hreal_of_real_'#@#variant
0. 'coq/Coq_Reals_R_sqr_Rsqr_neg' 'h4/thm/real/ABS_NEG_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_1_l'#@#variant 'h4/thm/divides/ONE_DIVIDES_ALL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_le_trans' 'h4/thm/arithmetic/LESS_LESS_EQ_TRANS_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_Odd_succ' 'h4/thm/numeral/numeral_distrib_21'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_inj_wd' 'h4/thm/numpair/tri_11_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_eq_mul_1'#@#variant 'h4/thm/arithmetic/MULT_EQ_1_'#@#variant
0. 'coq/Coq_QArith_Qminmax_Q_max_lub_lt' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_e2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftr_opp_r' 'h4/thm/integer/INT_SUB_CALCULATE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_min_l' 'h4/thm/real/REAL_MIN_LE1_'
0. 'coq/Coq_NArith_BinNat_N_pred_succ' 'h4/thm/string/IMPLODE_EXPLODE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_total' 'h4/thm/hreal/HRAT_LT_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_le_mono' 'h4/thm/integer/TINT_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_nle_gt' 'h4/thm/arithmetic/NOT_LESS_EQUAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_0_l_prime' 'h4/thm/integer/INT_QUOT_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_lt_succ' 'h4/thm/prim_rec/LESS_SUC_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_succ_not_1' 'h4/thm/quote/index_distinct_1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_lub_lt_iff' 'h4/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_ge_le_iff' 'h4/thm/HolSmt/r103_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_glb_iff' 'h4/thm/integral/REAL_LT_MIN_'
0. 'coq/Coq_NArith_BinNat_N_pow_lt_mono_r_iff'#@#variant 'h4/thm/arithmetic/EXP_BASE_LT_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_opp_r' 'h4/thm/extreal/extreal_sub_add_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_1_r' 'h4/thm/extreal/sub_rzero_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_lxor_r' 'h4/thm/complex/COMPLEX_NEG_RDIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_refl' 'h4/thm/real/REAL_LE_REFL_'
0. 'coq/Coq_Reals_RIneq_INR_IZR_INZ' 'h4/thm/hrat/hrat_sucint_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_divide_refl' 'h4/thm/hrat/TRAT_EQ_REFL_'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_id' 'h4/thm/toto/cpn_BIJ_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_irrefl' 'h4/thm/realax/TREAL_LT_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_quot_le_mono'#@#variant 'h4/thm/integral/REAL_LE_RMUL1_'#@#variant
0. 'coq/Coq_Init_Peano_n_Sn' 'h4/thm/prim_rec/SUC_ID_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_le_incl' 'h4/thm/extreal/lt_imp_le_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_1_l'#@#variant 'h4/thm/rat/RAT_SUB_LID_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rge_ge_eq' 'h4/thm/arithmetic/EQ_LESS_EQ_'
0. 'coq/Coq_ZArith_BinInt_Z_clearbit_spec_prime'#@#variant 'h4/thm/extreal/sub_rneg_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_opp' 'h4/thm/numeral/numeral_distrib_14'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_involutive' 'h4/thm/rat/RAT_AINV_AINV_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_asymm' 'h4/thm/real/REAL_LT_GT_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_nlt' 'h4/thm/real/REAL_NOT_LT_'
0. 'coq/Coq_ZArith_BinInt_Z_rem_1_r'#@#variant 'h4/thm/numeral/numeral_exp_0'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_0_discr' 'h4/thm/arithmetic/SUC_NOT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_Even_succ' 'h4/thm/numeral/numeral_distrib_21'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qlt_le_trans' 'h4/thm/arithmetic/LESS_LESS_EQ_TRANS_'
0. 'coq/Coq_Reals_RIneq_Rplus_le_compat_r' 'h4/thm/extreal/le_radd_imp_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_testbit_even_0'#@#variant 'h4/thm/toto/qk_numeralOrd_3'
0. 'coq/Coq_Reals_Rminmax_R_min_id' 'h4/thm/arithmetic/MIN_IDEM_'
0. 'coq/Coq_ZArith_BinInt_Zopp_mult_distr_r' 'h4/thm/arithmetic/ADD_CLAUSES_e3'
0. 'coq/Coq_Arith_EqNat_eq_nat_refl' 'h4/thm/divides/DIVIDES_REFL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_lt_mono_pos_l'#@#variant 'h4/thm/integer/INT_LT_MONO_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_Even_succ' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRL'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_min_glb_lt' 'h4/thm/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_nle_gt' 'h4/thm/rat/RAT_LES_LEQ_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_lt_mono_r_iff'#@#variant 'h4/thm/integer/INT_LT_MONO_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_refl' 'h4/thm/poly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pow_le_mono_r_iff'#@#variant 'h4/thm/arithmetic/EXP_BASE_LE_MONO_'#@#variant
0. 'coq/Coq_ZArith_Znat_Z2N_inj_pred' 'h4/thm/extreal/extreal_inv_def_e2'
0. 'coq/Coq_ZArith_Zorder_Zmult_lt_compat_l'#@#variant 'h4/thm/arithmetic/EXP_BASE_LEQ_MONO_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_0_iff' 'h4/thm/extreal/neg_eq0_'#@#variant
0. 'coq/Coq_Arith_Gt_plus_gt_compat_l' 'h4/thm/extreal/le_ladd_imp_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_nge' 'h4/thm/rat/RAT_LES_LEQ_'
0. 'coq/Coq_ZArith_Zpower_two_p_is_exp'#@#variant 'h4/thm/transc/LN_DIV_'#@#variant
0. 'coq/Coq_Arith_Lt_lt_n_S' 'h4/thm/transc/EXP_MONO_IMP_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_iff' 'h4/thm/ASCIInumbers/toString_11_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qle_refl' 'h4/thm/integer/TINT_EQ_REFL_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_add_diag_r' 'h4/thm/real/REAL_LE_MAX1_'
0. 'coq/Coq_NArith_BinNat_N_div_1_r' 'h4/thm/rat/RAT_SUB_RID_'
0. 'coq/Coq_ZArith_BinInt_Z_pred_lt_mono' 'h4/thm/numeral/numeral_distrib_28'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_nonneg_nonneg' 'h4/thm/arithmetic/LESS_MULT2_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_0_succ' 'h4/thm/integral/LT_0_'
0. 'coq/Coq_NArith_BinNat_N_add_1_l'#@#variant 'h4/thm/HolSmt/r128_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_r' 'h4/thm/real/REAL_MIN_ALT_e1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_1_r' 'h4/thm/HolSmt/r127_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_divide_mono_r' 'h4/thm/integer/TINT_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_ZArith_Znat_Zabs2N_inj_neg' 'h4/thm/rat/rat_dnm_def_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_cancel_l' 'h4/thm/integer/EQ_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_nonneg' 'h4/thm/divides/ZERO_LT_PRIMES_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_eq_0' 'h4/thm/gcd/GCD_EQ_0_'
0. 'coq/Coq_ZArith_BinInt_Z_opp_inj_wd' 'h4/thm/quote/index_11_e1'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_eqke_refl'#@#variant 'h4/thm/sorting/PERM_SINGLE_SWAP_REFL_'
0. 'coq/Coq_QArith_Qcanon_Qcmult_integral'#@#variant 'h4/thm/extreal/add_not_infty_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_le_mono' 'h4/thm/bit/TWOEXP_MONO_'#@#variant
0. 'coq/Coq_ZArith_Znat_Zabs2Nat_inj_pos' 'h4/thm/extreal/extreal_of_num_def_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lxor_eq' 'h4/thm/extreal/sub_0_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_div_1_r' 'h4/thm/integer/INT_ADD_REDUCE_1'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_succ_l' 'h4/thm/real/REAL_MUL_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_lt_mono_l' 'h4/thm/real/REAL_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_nonneg' 'h4/thm/transc/ATN_BOUNDS_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_lt_mono_r_iff'#@#variant 'h4/thm/integer/INT_LT_MONO_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_pred_l' 'h4/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_testbit_even_0'#@#variant 'h4/thm/toto/numeralOrd_3'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_le_mono' 'h4/thm/transc/EXP_MONO_IMP_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_lt' 'h4/thm/string/char_le_def_'
0. 'coq/Coq_ZArith_BinInt_Z_divide_factor_r' 'h4/thm/real/REAL_LE_MAX2_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div_le_mono'#@#variant 'h4/thm/arithmetic/DIV_LE_MONOTONE_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lcm_diag' 'h4/thm/arithmetic/MAX_IDEM_'
0. 'coq/Coq_Reals_Rfunctions_pow_lt'#@#variant 'h4/thm/integral/REAL_POW_LE_1_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_of_Qc' 'h4/thm/prelim/ordering_BIJ_0'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_xO'#@#variant 'h4/thm/extreal/extreal_exp_def_0'
0. 'coq/Coq_ZArith_Zgcd_alt_fibonacci_incr' 'h4/thm/realax/TREAL_ISO_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lcm_1_r' 'h4/thm/HolSmt/r080_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_opp_r' 'h4/thm/real/real_div_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_id' 'h4/thm/binary_ieee/float_compare_BIJ_0'
0. 'coq/Coq_NArith_BinNat_N_sub_le_mono_r' 'h4/thm/arithmetic/LESS_MONO_MULT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_ge_cases' 'h4/thm/integer/INT_LTE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_lub_lt_iff' 'h4/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_succ_inj_wd' 'h4/thm/integer/INT_EQ_CALCULATE_1'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_digits/0' 'h4/thm/extreal/lt_infty_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_ones_equiv'#@#variant 'h4/thm/numeral/numeral_suc_1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_le_compat_r' 'h4/thm/hrat/TRAT_MUL_WELLDEFINED_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_le_mono_l' 'h4/thm/rat/RAT_LES_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_succ_l' 'h4/thm/complex/COMPLEX_MUL_LNEG_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rge_refl' 'h4/thm/integer/INT_LE_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_le_mono' 'h4/thm/bit/TWOEXP_MONO_'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qcplus_opp_r'#@#variant 'h4/thm/real/REAL_ADD_RINV_'#@#variant
0. 'coq/Coq_Lists_List_incl_refl' 'h4/thm/rich_list/IS_PREFIX_REFL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_1_r' 'h4/thm/rat/RAT_SUB_RID_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_lub_lt' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_e2'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_le_mono' 'h4/thm/bit/TWOEXP_MONO2_'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qcle_refl' 'h4/thm/realax/TREAL_EQ_REFL_'#@#variant
0. 'coq/Coq_Arith_EqNat_eq_nat_refl' 'h4/thm/poly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_phi' 'h4/thm/string/char_BIJ_0'
0. 'coq/Coq_ZArith_BinInt_Z_lt_0_sub'#@#variant 'h4/thm/arithmetic/SUB_LESS_0_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_invc' 'h4/thm/complex/COMPLEX_OF_REAL_NEG_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Zpos_eq_iff' 'h4/thm/integer/INT_DIV_CALCULATE_2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_le_mono_r' 'h4/thm/hreal/HRAT_LT_RMUL_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_succ' 'h4/thm/extreal/extreal_ainv_def_e2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_sub_lt_add_r' 'h4/thm/integer/INT_LT_SUB_RADD_'
0. 'coq/Coq_PArith_BinPos_Pos_lt_total' 'h4/thm/rat/RAT_LES_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_add_pos_r'#@#variant 'h4/thm/arithmetic/X_LE_X_EXP_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rle_min_compat_r' 'h4/thm/hrat/TRAT_ADD_WELLDEFINED_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_succ_r' 'h4/thm/util_prob/LE_SUC_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_inj_wd' 'h4/thm/toto/num_dt_11_e1'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_add_lt_sub_r' 'h4/thm/arithmetic/SUB_LEFT_GREATER_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_id' 'h4/thm/arithmetic/MIN_IDEM_'
0. 'coq/Coq_ZArith_BinInt_Z_pow_0_l_prime' 'h4/thm/integer/INT_MOD0_'#@#variant
0. 'coq/Coq_Strings_Ascii_ascii_nat_embedding' 'h4/thm/frac/frac_bij_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_asymm' 'h4/thm/integer/INT_LT_ANTISYM_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_succ_l' 'h4/thm/arithmetic/ADD_CLAUSES_2'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_compare_succ' 'h4/thm/quote/index_compare_def_5'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_le_incl' 'h4/thm/real/REAL_LT_IMP_LE_'
0. 'coq/Coq_Arith_Min_min_l' 'h4/thm/real/REAL_MIN_ALT_0'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_of_Z' 'h4/thm/prelim/num2ordering_ordering2num_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_glb_lt_iff' 'h4/thm/arithmetic/MIN_LE_e1'
0. 'coq/Coq_Arith_PeanoNat_Nat_square_nonneg'#@#variant 'h4/thm/real/REAL_LE_SQUARE_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_le_sub_le_add_r' 'h4/thm/arithmetic/SUB_LEFT_LESS_'
0. 'coq/Coq_NArith_BinNat_N_sqrt_1' 'h4/thm/real/ABS_0_'
0. 'coq/Coq_PArith_BinPos_Pos_divide_xO_xO' 'h4/thm/integerRing/int_rewrites_tLRRRLRRR'
0. 'coq/Coq_Reals_Rminmax_R_min_le_compat_l' 'h4/thm/realax/TREAL_LT_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftl_eq_0_iff'#@#variant 'h4/thm/binary_ieee/div_eq0_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_1_r'#@#variant 'h4/thm/arithmetic/PRE_SUB1_'#@#variant
0. 'coq/Coq_Reals_ROrderedType_ROrder_lt_irrefl' 'h4/thm/hreal/HRAT_LT_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_quot_1_r' 'h4/thm/HolSmt/r080_'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_one_neq_zero' 'h4/thm/prelim/ordering_distinct_0'
0. 'coq/Coq_Reals_Rpower_ln_mult'#@#variant 'h4/thm/util_prob/lg_mul_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_glb_lt' 'h4/thm/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_le_mono' 'h4/thm/real/REAL_LT_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_le_incl' 'h4/thm/integer/INT_LT_IMP_LE_'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_lt_antirefl' 'h4/thm/realax/REAL_LT_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_lub_iff' 'h4/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_neq_0_succ' 'h4/thm/intto/BIT1_nz_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lcm_1_r' 'h4/thm/integer/INT_ADD_RID_'
0. 'coq/Coq_QArith_QArith_base_Qplus_lt_r' 'h4/thm/realax/HREAL_LT_LADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_div_1_r' 'h4/thm/arithmetic/DIV_ONE_'
0. 'coq/Coq_Arith_Lt_nat_total_order' 'h4/thm/hreal/HREAL_LT_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_le_incl' 'h4/thm/arithmetic/LESS_IMP_LESS_OR_EQ_'
0. 'coq/Coq_Arith_Div2_div2_double'#@#variant 'h4/thm/numeral/DIV2_BIT1_'
0. 'coq/Coq_ZArith_BinInt_Z_abs_pow' 'h4/thm/extreal/mul_lneg_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_null'#@#variant 'h4/thm/intExtension/INT_SGN_CLAUSES_e2'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_Zpos' 'h4/thm/float/REAL_OF_NUM_LT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_le_pred' 'h4/thm/arithmetic/LESS_EQ_IMP_LESS_SUC_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_le_incl' 'h4/thm/integer/INT_LT_IMP_LE_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_is_nonneg'#@#variant 'h4/thm/extreal/le_num_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_gt_cases' 'h4/thm/real/REAL_LET_TOTAL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_lt_mono_r_iff'#@#variant 'h4/thm/rat/RAT_LES_LMUL_POS_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_0_l'#@#variant 'h4/thm/arithmetic/ZERO_LESS_EQ_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qmult_lt_l'#@#variant 'h4/thm/logroot/LE_EXP_ISO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_nlt_ge' 'h4/thm/integer/int_le_'
0. 'coq/Coq_Arith_PeanoNat_Nat_min_glb' 'h4/thm/divides/DIVIDES_SUB_'
0. 'coq/Coq_Reals_Rpower_exp_le_3'#@#variant 'h4/thm/real/REAL_THIRDS_BETWEEN_e4'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_pos_nonneg'#@#variant 'h4/thm/extreal/lte_add_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_lt_mono_pos_r' 'h4/thm/logroot/EXP_LT_ISO_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_le' 'h4/thm/string/char_le_def_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_lt_mono_r' 'h4/thm/hreal/HRAT_LT_RADD_'
0. 'coq/Coq_ZArith_BinInt_Z_sgn_opp' 'h4/thm/float/REAL_ABS_INV_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_opp_r' 'h4/thm/integer/INT_SUB_CALCULATE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_succ_r' 'h4/thm/rat/RAT_AINV_RMUL_'
0. 'coq/Coq_PArith_Pnat_Nat2Pos_inj_sub' 'h4/thm/integer/INT_QUOT_CALCULATE_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_le_mono_pos_r'#@#variant 'h4/thm/real/REAL_LE_RMUL_'#@#variant
0. 'coq/Coq_Reals_Rpower_ln_exp' 'h4/thm/string/EXPLODE_IMPLODE_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_succ_r' 'h4/thm/float/LT_SUC_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lcm_diag' 'h4/thm/arithmetic/MAX_IDEM_'
0. 'coq/Coq_Reals_Rtrigo_calc_sqrt2_neq_0'#@#variant 'h4/thm/toto/all_cpn_distinct_tLL'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_max_r' 'h4/thm/hreal/HRAT_LT_ADDR_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_opp_norm' 'h4/thm/extreal/sqrt_pos_lt_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rgt_irrefl' 'h4/thm/realax/REAL_LT_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_total' 'h4/thm/extreal/lt_total_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_double_inj' 'h4/thm/num/INV_SUC_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_irrefl' 'h4/thm/realax/TREAL_LT_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_lt_trans' 'h4/thm/rat/RAT_LEQ_LES_TRANS_'
0. 'coq/Coq_Reals_RIneq_INR_IZR_INZ' 'h4/thm/complex/complex_of_num_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_0_r' 'h4/thm/extreal/le_infty_1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_1_r' 'h4/thm/HolSmt/r223_'
0. 'coq/Coq_MSets_MSetPositive_PositiveSet_E_bits_lt_antirefl' 'h4/thm/realax/TREAL_LT_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_inj_wd' 'h4/thm/numeral/numeral_distrib_19'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_add_diag_r' 'h4/thm/arithmetic/LESS_EQ_ADD_'
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_triang' 'h4/thm/real/ABS_TRIANGLE_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_divide_xO_xO' 'h4/thm/numeral/numeral_lte_e6'
0. 'coq/Coq_ZArith_BinInt_Z_abs_0_iff' 'h4/thm/intExtension/INT_SGN_CLAUSES_1'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_abs' 'h4/thm/quote/index_size_def_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_pred_succ' 'h4/thm/numeral/numeral_add_0'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_div2_div'#@#variant 'h4/thm/arithmetic/DIV2_def_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_inj_wd' 'h4/thm/integer/INT_EQ_CALCULATE_1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_opp_r' 'h4/thm/HolSmt/r224_'#@#variant
0. 'coq/Coq_Reals_RIneq_cond_pos'#@#variant 'h4/thm/extreal/le_num_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_Even_succ' 'h4/thm/numeral/numeral_distrib_21'#@#variant
0. 'coq/Coq_Reals_RIneq_opp_IZR' 'h4/thm/extreal/extreal_ainv_def_e2'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_sub_le_add_r' 'h4/thm/integer/INT_LT_ADD_SUB_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_min_r' 'h4/thm/real/REAL_MIN_LE2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_nge' 'h4/thm/arithmetic/NOT_LESS_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_nonneg_r'#@#variant 'h4/thm/integral/REAL_LE_RMUL1_'#@#variant
0. 'coq/Coq_ZArith_Zeven_Zquot2_opp' 'h4/thm/numeral/numeral_distrib_14'
0. 'coq/Coq_PArith_BinPos_Pos_max_le_compat_r' 'h4/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_clearbit_spec_prime'#@#variant 'h4/thm/HolSmt/r224_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pos_pred_succ' 'h4/thm/prelim/num2ordering_ordering2num_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_neq_succ_0' 'h4/thm/arithmetic/SUC_NOT_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_nle' 'h4/thm/real/REAL_NOT_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_nonneg' 'h4/thm/integral/LT_0_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_lt_mono_pos_l'#@#variant 'h4/thm/arithmetic/EXP_BASE_LE_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_lteq' 'h4/thm/arithmetic/LESS_OR_EQ_'
0. 'coq/Coq_Reals_RIneq_Rgt_asym' 'h4/thm/integer/INT_LT_ANTISYM_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_abs' 'h4/thm/extreal/extreal_exp_def_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_le_pred' 'h4/thm/float/LT_SUC_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_le_mono' 'h4/thm/hrat/TRAT_INV_WELLDEFINED_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sub_diag' 'h4/thm/rat/RAT_SUB_ID_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_compare_succ_succ' 'h4/thm/toto/qk_numeralOrd_5'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_diag' 'h4/thm/arithmetic/TIMES2_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_divide' 'h4/thm/real/REAL_OF_NUM_LE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mod_0_l' 'h4/thm/integer/INT_DIV_0_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_succ_l' 'h4/thm/real/REAL_MUL_LNEG_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pow_le_mono_l' 'h4/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_involutive' 'h4/thm/integer/INT_ADD_REDUCE_3'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lcm_1_l'#@#variant 'h4/thm/integer/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_le_compat_r' 'h4/thm/integer/TINT_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_add_le' 'h4/thm/real/ABS_TRIANGLE_'
0. 'coq/Coq_NArith_BinNat_N_pow_le_mono_r_iff'#@#variant 'h4/thm/transc/RPOW_LT_'#@#variant
0. 'coq/Coq_fourier_Fourier_util_Rfourier_lt'#@#variant 'h4/thm/real/REAL_LT_LMUL_IMP_'#@#variant
0. 'coq/Coq_QArith_Qminmax_Q_min_le_compat_l' 'h4/thm/real/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_setbit_spec_prime'#@#variant 'h4/thm/complex/COMPLEX_SUB_RNEG_'#@#variant
0. 'coq/Coq_Reals_R_Ifp_Int_part_INR' 'h4/thm/realax/hreal_of_real_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_divide' 'h4/thm/realax/REAL_ISO_EQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lor_diag' 'h4/thm/extreal/min_refl_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_nle' 'h4/thm/extreal/extreal_lt_def_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_r' 'h4/thm/arithmetic/LESS_MONO_ADD_'
0. 'coq/Coq_PArith_BinPos_Pos_compare_xI_xI' 'h4/thm/quote/index_compare_def_7'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_refl' 'h4/thm/integer/TINT_EQ_REFL_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_pred_succ' 'h4/thm/numeral_bit/NUMERAL_iDIV2_2'
0. 'coq/Coq_NArith_BinNat_N_shiftl_mul_pow2'#@#variant 'h4/thm/complex/COMPLEX_SUB_RNEG_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qeq_refl' 'h4/thm/integer/TINT_EQ_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_refl' 'h4/thm/arithmetic/LESS_EQ_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pred_succ' 'h4/thm/numRing/num_rewrites_tLLRRRR'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_0_l' 'h4/thm/integer/INT_QUOT_0_'#@#variant
0. 'coq/Coq_Arith_Max_le_max_r' 'h4/thm/integer/INT_DIVIDES_MUL_e1'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pred_div2_up' 'h4/thm/extreal/extreal_sqrt_def_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_le_mono_l' 'h4/thm/extreal/le_radd_imp_'
0. 'coq/Coq_ZArith_BinInt_Z_lcm_1_l'#@#variant 'h4/thm/util_prob/lg_def_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_1_l' 'h4/thm/HolSmt/r079_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_pred'#@#variant 'h4/thm/real/REAL_OF_NUM_SUC_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_rem_1_r'#@#variant 'h4/thm/integer/INT_MOD_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_nle_gt' 'h4/thm/real/real_lte_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_le_mono_l' 'h4/thm/integer/TINT_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_pos'#@#variant 'h4/thm/transc/LN_POS_'#@#variant
0. 'coq/Coq_NArith_Nnat_N2Nat_id' 'h4/thm/complex/RE_COMPLEX_OF_REAL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_glb' 'h4/thm/divides/DIVIDES_SUB_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_le_mono' 'h4/thm/divides/LT_PRIMES_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_quot_1_r' 'h4/thm/integer/INT_SUB_RZERO_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_1_l' 'h4/thm/real/REAL_ADD_LID_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_ngt' 'h4/thm/integer/int_le_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_eq_mul_m1'#@#variant 'h4/thm/arithmetic/ADD1_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_Zpos' 'h4/thm/real/REAL_LE_'
0. 'coq/Coq_ZArith_Zpow_alt_Zpower_alt_0_r'#@#variant 'h4/thm/arithmetic/MOD_ONE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_succ_le_mono' 'h4/thm/arithmetic/LESS_EQ_MONO_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_incr_twice' 'h4/thm/numRing/num_rewrites_tLRLRR'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_neg_iff' 'h4/thm/extreal/extreal_11_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_le_mono_l' 'h4/thm/real/REAL_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_nonneg_nonneg' 'h4/thm/integer/TINT_LT_MUL_'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_lt' 'h4/thm/real/lt_int_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_le_mono' 'h4/thm/real/REAL_POS_MONO_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_leb' 'h4/thm/intto/pos_pos_thm_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_1_l'#@#variant 'h4/thm/transc/ONE_RPOW_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_quot_pos'#@#variant 'h4/thm/integer/INT_LTE_ADD_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zsucc_le_compat' 'h4/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_iff' 'h4/thm/string/CHAR_EQ_THM_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_le_incl' 'h4/thm/extreal/lt_imp_le_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_iff' 'h4/thm/prelim/ordering_EQ_ordering_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_le_mono' 'h4/thm/hrat/TRAT_INV_WELLDEFINED_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_divide_mono_r' 'h4/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_antisym' 'h4/thm/divides/DIVIDES_ANTISYM_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_oppc' 'h4/thm/toto/num_dt_size_def_1'#@#variant
0. 'coq/Coq_NArith_BinNat_N_succ_inj_wd' 'h4/thm/numeral/numeral_eq_6'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_le_mono' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Reals_R_sqrt_sqrt_pos' 'h4/thm/prim_rec/LESS_0_'
0. 'coq/Coq_PArith_BinPos_Pos_sub_diag' 'h4/thm/real/REAL_SUB_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_r' 'h4/thm/integer/TINT_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_lt_mono_pos_l'#@#variant 'h4/thm/arithmetic/EXP_BASE_LT_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_le_mono_r' 'h4/thm/hreal/HRAT_LT_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_nle_gt' 'h4/thm/arithmetic/NOT_LESS_EQUAL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_irrefl' 'h4/thm/real/REAL_LT_REFL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_refl' 'h4/thm/extreal/le_refl_'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_pred' 'h4/thm/toto/num_dt_size_def_e2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_succ_l' 'h4/thm/arithmetic/LESS_EQ_'
0. 'coq/Coq_Bool_Bool_diff_true_false' 'h4/thm/ieee/ccode_distinct_3'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_refl' 'h4/thm/integer/INT_DIVIDES_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_Zpos' 'h4/thm/string/char_gt_def_'
0. 'coq/Coq_ZArith_Znat_N2Z_id' 'h4/thm/realax/TREAL_BIJ_0'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_1' 'h4/thm/real/REAL_INV_0_'
0. 'coq/Coq_QArith_QArith_base_Qmult_plus_distr_r' 'h4/thm/hrat/TRAT_LDISTRIB_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_neq_0_succ' 'h4/thm/toto/num_dt_distinct_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_neq_succ_0' 'h4/thm/toto/num_dt_distinct_0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_cancel_l' 'h4/thm/integer/INT_EQ_LMUL2_'#@#variant
0. 'coq/Coq_Reals_Raxioms_Rmult_lt_compat_l'#@#variant 'h4/thm/extreal/le_lmul_imp_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_le_incl' 'h4/thm/arithmetic/LESS_IMP_LESS_OR_EQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_divide_mono_r' 'h4/thm/hrat/TRAT_ADD_WELLDEFINED_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_COS_bound/1' 'h4/thm/transc/COS_BOUNDS_e1'#@#variant
0. 'coq/Coq_Reals_Rtrigo_calc_Rlt_sqrt3_0'#@#variant 'h4/thm/real/REAL_THIRDS_BETWEEN_3'#@#variant
0. 'coq/Coq_Reals_Rpower_ln_exp' 'h4/thm/bit/LOG2_TWOEXP_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div_1_r' 'h4/thm/rat/RAT_SUB_RID_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_1' 'h4/thm/extreal/neg_0_'
0. 'coq/Coq_Reals_Ratan_Ropp_div' 'h4/thm/rat/RAT_AINV_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_simpl_l' 'h4/thm/real/REAL_ADD_SUB_'
0. 'coq/Coq_ZArith_BinInt_Z_add_succ_r' 'h4/thm/complex/COMPLEX_NEG_RDIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_div2_div'#@#variant 'h4/thm/arithmetic/ADD1_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_inj_wd' 'h4/thm/transc/EXP_INJ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_1_l' 'h4/thm/real/REAL_SUB_LZERO_'
0. 'coq/Coq_QArith_QArith_base_Qplus_comm' 'h4/thm/hrat/TRAT_ADD_SYM_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mod_mod' 'h4/thm/integer/INT_MOD_MOD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_ge_cases' 'h4/thm/integer/INT_LTE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_involutive' 'h4/thm/complex/COMPLEX_NEGNEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_cancel_r' 'h4/thm/complex/COMPLEX_EQ_RADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_sub_le_add_r' 'h4/thm/integer/INT_LT_SUB_RADD_'
0. 'coq/Coq_ZArith_BinInt_Z_le_pred_l' 'h4/thm/numpair/invtri_le_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_gt' 'h4/thm/integer/INT_LT_CALCULATE_0'
0. 'coq/Coq_ZArith_Znumtheory_not_prime_0' 'h4/thm/float/ZERO_NOT_NAN_e1'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_incr' 'h4/thm/toto/num_dt_size_def_e2'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_sub_add_distr' 'h4/thm/arithmetic/SUB_PLUS_'
0. 'coq/Coq_Arith_Gt_gt_Sn_n' 'h4/thm/numpair/invtri_le_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_lt_mono'#@#variant 'h4/thm/real/REAL_LE_MUL2_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_id' 'h4/thm/binary_ieee/float_compare_BIJ_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_double'#@#variant 'h4/thm/transc/LN_INV_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_sin_ge_0'#@#variant 'h4/thm/transc/TAN_POS_PI2_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sub_min_distr_l' 'h4/thm/transc/RPOW_SUB_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_nge' 'h4/thm/integer/INT_NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_le_compat_l' 'h4/thm/extreal/le_ladd_imp_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_diag' 'h4/thm/real/REAL_DOUBLE_'#@#variant
0. 'coq/Coq_Reals_Raxioms_R1_neq_R0' 'h4/thm/toto/all_cpn_distinct_e3'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_cancel_r' 'h4/thm/arithmetic/EQ_MONO_ADD_EQ_'
0. 'coq/Coq_Structures_OrderedTypeEx_Z_as_OT_lt_not_eq' 'h4/thm/prim_rec/NOT_LESS_EQ_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_pos_pos' 'h4/thm/integer/TINT_LT_MUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_1_l'#@#variant 'h4/thm/numeral/texp_help_def_0'
0. 'coq/Coq_ZArith_BinInt_Z_rem_opp_opp' 'h4/thm/real/ABS_DIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_glb_iff' 'h4/thm/integral/REAL_LT_MIN_'
0. 'coq/Coq_ZArith_Zquot_Zrem_opp_l' 'h4/thm/complex/COMPLEX_MUL_LNEG_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_pow_1_r' 'h4/thm/integer/INT_ADD_CALCULATE_1'
0. 'coq/Coq_Init_Peano_le_n_S' 'h4/thm/integer/TINT_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Reals_Ratan_atan_increasing' 'h4/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_neq' 'h4/thm/prim_rec/NOT_LESS_EQ_'
0. 'coq/Coq_Reals_RIneq_Rplus_lt_compat_r' 'h4/thm/arithmetic/LESS_MONO_ADD_'
0. 'coq/Coq_NArith_BinNat_N_add_lt_mono_r' 'h4/thm/arithmetic/LESS_MONO_ADD_EQ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftl_opp_r' 'h4/thm/real/REAL_SUB_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_divide_mono_l' 'h4/thm/integer/INT_LT_LADD_IMP_'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_lt_not_gt' 'h4/thm/hreal/HRAT_LT_GT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_neq' 'h4/thm/realax/HREAL_LT_NE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_le_compat_l' 'h4/thm/real/REAL_LT_IADD_'
0. 'coq/Coq_ZArith_BinInt_Z_nle_gt' 'h4/thm/real/REAL_NOT_LT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_l' 'h4/thm/real/REAL_MIN_ALT_0'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_of_Q' 'h4/thm/ieee/num2ccode_ccode2num_'
0. 'coq/Coq_NArith_BinNat_N_lcm_diag' 'h4/thm/real/REAL_MIN_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_lxor_m1_l'#@#variant 'h4/thm/integer/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_Reals_RIneq_le_epsilon'#@#variant 'h4/thm/real/REAL_LE_EPSILON_'#@#variant
0. 'coq/Coq_ZArith_Znat_Zabs2N_id' 'h4/thm/ASCIInumbers/toString_toNum_cancel_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_divide_sub_r' 'h4/thm/divides/DIVIDES_SUB_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_le' 'h4/thm/real/lt_int_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pred_div2_up' 'h4/thm/quote/index_size_def_1'#@#variant
0. 'coq/Coq_Arith_Lt_nat_total_order' 'h4/thm/rat/RAT_LES_TOTAL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_1_l' 'h4/thm/integer/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_le_mono_l' 'h4/thm/integer/INT_LE_LADD_'
0. 'coq/Coq_NArith_BinNat_N_add_pos_pos' 'h4/thm/integer/TINT_LT_MUL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_testbit_even_0'#@#variant 'h4/thm/toto/qk_numeralOrd_3'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_one_neq_zero' 'h4/thm/float/not2eqz_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_le_mono' 'h4/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_square_spec' 'h4/thm/HolSmt/r216_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_pos_neg'#@#variant 'h4/thm/extreal/mul_le_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_land' 'h4/thm/complex/COMPLEX_EXP_SUB_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_pred_l' 'h4/thm/frac/FRAC_AINV_LMUL_'
0. 'coq/Coq_Reals_RIneq_Rgt_ge' 'h4/thm/rat/RAT_LES_IMP_LEQ_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_refl' 'h4/thm/integer/INT_DIVIDES_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_abs_pow' 'h4/thm/complex/COMPLEX_NEG_LMUL_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_clearbit_spec_prime'#@#variant 'h4/thm/complex/complex_sub_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_ldiff_m1_r'#@#variant 'h4/thm/util_prob/logr_1_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_0_succ' 'h4/thm/arithmetic/FACT_LESS_'
0. 'coq/Coq_ZArith_BinInt_Z_rem_opp_l_prime' 'h4/thm/extreal/mul_lneg_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_add_r' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_le_mono_nonneg'#@#variant 'h4/thm/real/REAL_LT_MUL2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_size_nat_monotone' 'h4/thm/realax/TREAL_ISO_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_divide_refl' 'h4/thm/extreal/le_refl_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_succ_lt_mono' 'h4/thm/transc/EXP_MONO_LT_'
0. 'coq/Coq_QArith_QArith_base_Qnot_lt_le' 'h4/thm/integer/INT_LET_TOTAL_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_succ_l' 'h4/thm/integer/INT_MUL_CALCULATE_1'
0. 'coq/Coq_Structures_OrdersEx_PositiveOrderedTypeBits_bits_lt_antirefl' 'h4/thm/string/string_lt_nonrefl_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_negb_odd' 'h4/thm/util_prob/lg_pow_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_div2' 'h4/thm/extreal/extreal_ainv_def_e2'
0. 'coq/Coq_Reals_Rbasic_fun_Rle_max_compat_r' 'h4/thm/arithmetic/LESS_MONO_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_le_mono' 'h4/thm/integer/TINT_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_succ_inj' 'h4/thm/num/INV_SUC_'
0. 'coq/Coq_Bool_Bool_diff_true_false' 'h4/thm/prelim/ordering_distinct_1'
0. 'coq/Coq_ZArith_Zquot_Zrem_opp_l' 'h4/thm/arithmetic/ADD_CLAUSES_2'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_eq_mul_0_r' 'h4/thm/extreal/add_not_infty_e1'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div2_succ_double' 'h4/thm/numeral/numeral_add_0'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_max_le_iff' 'h4/thm/arithmetic/MAX_LT_0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_0_l' 'h4/thm/integer/INT_MOD0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_le_mono_pos_l'#@#variant 'h4/thm/rat/RAT_LES_LMUL_POS_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_nlt_0_r' 'h4/thm/bit/BIT_ZERO_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_ge' 'h4/thm/integer/INT_LT_CALCULATE_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_nonneg' 'h4/thm/arithmetic/FACT_LESS_'
0. 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_compare_Gt' 'h4/thm/quote/index_lt_def_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_lxor_r' 'h4/thm/arithmetic/ADD_SUC_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_sgn' 'h4/thm/extreal/extreal_sqrt_def_0'
0. 'coq/Coq_NArith_BinNat_N_log2_up_null'#@#variant 'h4/thm/intExtension/INT_SGN_CLAUSES_e2'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_le_compat_r' 'h4/thm/hrat/TRAT_MUL_WELLDEFINED_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_le_mono_r_iff' 'h4/thm/int_arith/justify_divides_'
0. 'coq/Coq_Arith_Even_odd_plus_r' 'h4/thm/extreal/lte_mul_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_max_r' 'h4/thm/integer/INT_DIVIDES_MUL_e1'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_pos_pos' 'h4/thm/realax/TREAL_LT_MUL_'#@#variant
0. 'coq/Coq_Classes_DecidableClass_Decidable_eq_bool_obligation_1' 'h4/thm/rat/RAT_EQ_SUB0_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_inj_wd' 'h4/thm/quote/index_11_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lxor_lnot_lnot' 'h4/thm/complex/COMPLEX_NEG_MUL2_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lnot_lxor_l' 'h4/thm/int_arith/move_sub_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_m1_0' 'h4/thm/extreal/thirds_between_tRLR'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_lt_mono_r' 'h4/thm/arithmetic/LESS_MONO_ADD_EQ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_odd_opp' 'h4/thm/complex/MODU_CONJ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_lt_trans' 'h4/thm/arithmetic/LESS_EQ_LESS_TRANS_'
0. 'coq/Coq_NArith_BinNat_N_succ_inj_wd' 'h4/thm/numRing/num_rewrites_tLRRRRRRLR'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_lub_lt_iff' 'h4/thm/extreal/max_le_'
0. 'coq/Coq_Reals_Rbasic_fun_Rle_abs' 'h4/thm/divides/INDEX_LESS_PRIMES_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_1_r' 'h4/thm/arithmetic/DIV_ONE_'
0. 'coq/Coq_NArith_BinNat_N_lt_total' 'h4/thm/hreal/HREAL_LT_TOTAL_'
0. 'coq/Coq_Reals_Ratan_atan_right_inv' 'h4/thm/string/IMPLODE_EXPLODE_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_odd' 'h4/thm/complex/complex_of_num_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_succ_lt_mono' 'h4/thm/numeral/numeral_distrib_28'
0. 'coq/Coq_ZArith_Zsqrt_compat_Zsqrt_plain_is_pos'#@#variant 'h4/thm/extreal/sqrt_pos_lt_'#@#variant
0. 'coq/Coq_QArith_Qminmax_Q_min_glb_lt_iff' 'h4/thm/extreal/le_min_'
0. 'coq/Coq_ZArith_Znat_Z_nat_N' 'h4/thm/ieee/Sign_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_ge_cases' 'h4/thm/integer/INT_LTE_TOTAL_'
0. 'coq/Coq_PArith_BinPos_Pos_max_lub_lt_iff' 'h4/thm/extreal/max_le_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_succ_r' 'h4/thm/integer/INT_MUL_CALCULATE_2'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_sub_1_r' 'h4/thm/arithmetic/PRE_SUB1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_l' 'h4/thm/real/REAL_MAX_ALT_e1'
0. 'coq/Coq_Init_Peano_le_pred' 'h4/thm/bit/TWOEXP_MONO2_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_mul_le_mono_l' 'h4/thm/integer/LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ldiff_land' 'h4/thm/extreal/sub_rneg_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_divide' 'h4/thm/integer/INT_LT_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_rem' 'h4/thm/integer/INT_MOD_PLUS_'#@#variant
0. 'coq/Coq_ZArith_Znat_Zabs2Nat_id' 'h4/thm/prelim/ordering_BIJ_0'
0. 'coq/Coq_NArith_BinNat_N_mul_divide_mono_l' 'h4/thm/real/REAL_LE_LADD_IMP_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_le_mono_r' 'h4/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_add_lt_sub_r' 'h4/thm/integer/INT_LE_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_factor_r' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_1'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_incr_twice_plus_one' 'h4/thm/numRing/num_rewrites_tLLRRRRRR'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_not_add_l' 'h4/thm/hrat/TRAT_NOZERO_'#@#variant
0. 'coq/Coq_ZArith_Zquot_Zquot_opp_l' 'h4/thm/frac/FRAC_AINV_LMUL_'
0. 'coq/Coq_ZArith_BinInt_Z_shiftl_opp_r' 'h4/thm/real/real_sub_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_even_1' 'h4/thm/ieee/Minus_zero_'#@#variant
0. 'coq/Coq_QArith_Qabs_Qabs_wd' 'h4/thm/bit/TWOEXP_MONO2_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_nge' 'h4/thm/integer/int_le_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_glb_lt_iff' 'h4/thm/integral/REAL_LT_MIN_'
0. 'coq/Coq_NArith_BinNat_N_pred_succ' 'h4/thm/bit/LOG2_TWOEXP_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Zlt_Qlt' 'h4/thm/integer/INT_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_testbit_even_0'#@#variant 'h4/thm/quote/index_compare_def_4'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ldiff_diag' 'h4/thm/arithmetic/SUB_EQUAL_0_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_ldiff_ldiff_l' 'h4/thm/arithmetic/SUB_RIGHT_SUB_'
0. 'coq/Coq_Reals_RList_RList_P9' 'h4/thm/int_bitwise/int_bit_or_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_r' 'h4/thm/real/REAL_MAX_ALT_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mod_1_r'#@#variant 'h4/thm/arithmetic/MOD_1_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_nge' 'h4/thm/real/real_lte_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_id' 'h4/thm/gcd/GCD_REF_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_min_r' 'h4/thm/real/REAL_MIN_LE2_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_le_mono_l' 'h4/thm/rat/RAT_LES_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pred_le_mono' 'h4/thm/integer/TINT_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Reals_ROrderedType_ROrder_le_refl' 'h4/thm/poly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_refl' 'h4/thm/divides/DIVIDES_REFL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_nonneg' 'h4/thm/divides/ZERO_LT_PRIMES_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_min_r' 'h4/thm/extreal/min_le2_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_pred'#@#variant 'h4/thm/hrat/HRAT_SUCINT_e1'
0. 'coq/Coq_NArith_BinNat_N_le_succ_diag_r' 'h4/thm/real/REAL_POS_INFLATE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_0_l_prime' 'h4/thm/integer/INT_DIV_0_'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_succ' 'h4/thm/extreal/extreal_ainv_def_e2'
0. 'coq/Coq_ZArith_BinInt_Z_lcm_diag' 'h4/thm/HolSmt/r216_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div_le_mono'#@#variant 'h4/thm/integral/REAL_LE_RMUL1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_le_mono_r' 'h4/thm/hreal/HRAT_LT_RMUL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_add_le_sub_r' 'h4/thm/real/REAL_LT_SUB_LADD_'
0. 'coq/Coq_Reals_Rfunctions_powerRZ_O' 'h4/thm/integer/INT_EXP_REDUCE_0'#@#variant
0. 'coq/Coq_Classes_DecidableClass_Decidable_eq_bool_obligation_1' 'h4/thm/arithmetic/ABS_DIFF_EQ_0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_b2z_div2'#@#variant 'h4/thm/extreal/extreal_sub_def_e6'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lxor_nilpotent' 'h4/thm/integer/INT_SUB_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_nonneg_l'#@#variant 'h4/thm/integral/REAL_LE_LMUL1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_ge_cases' 'h4/thm/real/REAL_LET_TOTAL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_ngt' 'h4/thm/rat/RAT_LEQ_LES_'
0. 'coq/Coq_ZArith_Znat_Z2N_inj_div2' 'h4/thm/extreal/extreal_abs_def_0'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_l' 'h4/thm/arithmetic/LESS_MOD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_1' 'h4/thm/integerRing/int_rewrites_tRRRRRRRRRRRRRL'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_lt_mono_pos_l'#@#variant 'h4/thm/rat/RAT_LES_LMUL_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_pos'#@#variant 'h4/thm/transc/EXP_LT_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_irrefl' 'h4/thm/integer/INT_LT_REFL_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_iff' 'h4/thm/binary_ieee/float_value_11_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_nle' 'h4/thm/HolSmt/r115_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_double_mul' 'h4/thm/arithmetic/ADD_CLAUSES_2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_nonneg'#@#variant 'h4/thm/real/REAL_NEG_GT0_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_le_add_r' 'h4/thm/realax/HREAL_LT_ADDL_'
0. 'coq/Coq_Reals_Rbasic_fun_Rmin_pos' 'h4/thm/arithmetic/LESS_MULT2_'
0. 'coq/Coq_Arith_PeanoNat_Nat_setbit_spec_prime'#@#variant 'h4/thm/complex/complex_div_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_pred_l' 'h4/thm/numpair/invtri_le_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_le_mono_l' 'h4/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_nonneg' 'h4/thm/transc/ATN_BOUNDS_0'#@#variant
0. 'coq/Coq_ZArith_Znat_Z2N_inj_pred' 'h4/thm/complex/COMPLEX_OF_REAL_NEG_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_1_r' 'h4/thm/HolSmt/r214_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_nlt_ge' 'h4/thm/integer/int_le_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_0_l' 'h4/thm/integral/LE_0_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_negb_odd' 'h4/thm/ratRing/rat_ring_thms_e17'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_of_Z' 'h4/thm/complex/RE_COMPLEX_OF_REAL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_neq_0_succ' 'h4/thm/quote/index_distinct_1'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_ngt' 'h4/thm/HolSmt/r096_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_le_trans' 'h4/thm/extreal/lte_trans_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_lnot_diag'#@#variant 'h4/thm/real/REAL_ADD_RINV_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lcm_divide_iff' 'h4/thm/arithmetic/MAX_LT_e1'
0. 'coq/Coq_Reals_RIneq_S_INR' 'h4/thm/hrat/trat_sucint_e1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div_same'#@#variant 'h4/thm/real/REAL_DIV_REFL_'#@#variant
0. 'coq/Coq_Reals_Raxioms_R1_neq_R0' 'h4/thm/rat/RAT_1_NOT_0_'#@#variant
0. 'coq/Coq_Structures_DecidableTypeEx_Z_as_DT_lt_not_eq' 'h4/thm/hreal/HRAT_LT_NE_'
0. 'coq/Coq_QArith_QArith_base_Q_apart_0_1'#@#variant 'h4/thm/integer/TINT_10_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_lt_mono_r' 'h4/thm/rat/RAT_LES_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_le_mono_l' 'h4/thm/arithmetic/ADD_MONO_LESS_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_id' 'h4/thm/real/REAL_MIN_REFL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_clearbit_spec_prime'#@#variant 'h4/thm/integer/int_sub_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_inj_wd' 'h4/thm/numeral/numeral_distrib_19'
0. 'coq/Coq_NArith_BinNat_N_max_id' 'h4/thm/extreal/max_refl_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_compare' 'h4/thm/toto/qk_numOrd_def_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_lub_lt_iff' 'h4/thm/extreal/max_le_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_lt_iff' 'h4/thm/arithmetic/MAX_LE_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_succ_diag_r' 'h4/thm/real/REAL_POS_INFLATE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_lnot_diag'#@#variant 'h4/thm/rat/RAT_ADD_RINV_'#@#variant
0. 'coq/Coq_ZArith_Znat_positive_N_Z' 'h4/thm/hrat/hrat_sucint_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z2Pos_inj_sqrt' 'h4/thm/quote/index_size_def_1'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lt_eq_cases' 'h4/thm/arithmetic/GREATER_OR_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_le_compat_r' 'h4/thm/integer/TINT_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_PArith_Pnat_SuccNat2Pos_inj_compare' 'h4/thm/intto/pos_pos_thm_'
0. 'coq/Coq_ZArith_BinInt_Z_max_le_iff' 'h4/thm/arithmetic/MAX_LT_0'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_Int31Cyclic_specs' 'h4/thm/integerRing/int_ring_thms_0'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_double_size_level' 'h4/thm/complex/COMPLEX_OF_REAL_INV_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_1_l'#@#variant 'h4/thm/rat/RAT_SUB_LID_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_pred_double_spec' 'h4/thm/numeral_bit/NUMERAL_iDIV2_4'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_involutive' 'h4/thm/real/REAL_NEGNEG_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_of_Q' 'h4/thm/binary_ieee/float_compare_BIJ_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_lt_le_mono' 'h4/thm/integer/INT_LTE_ADD2_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_succ_le_mono' 'h4/thm/numeral/numeral_distrib_28'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_total' 'h4/thm/rat/RAT_LES_TOTAL_'
0. 'coq/Coq_Bool_Bool_xorb_true_l' 'h4/thm/integer/INT_SUB_REDUCE_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_triangle' 'h4/thm/real/ABS_TRIANGLE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_neq_succ_0' 'h4/thm/arithmetic/SUC_NOT_'
0. 'coq/Coq_NArith_BinNat_N_le_succ_diag_r' 'h4/thm/real/ABS_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_pos_pos' 'h4/thm/integer/INT_LT_MUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_eq_le_incl' 'h4/thm/integer/INT_EQ_IMP_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lcm_divide_iff' 'h4/thm/arithmetic/MAX_LT_e1'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_max_r' 'h4/thm/real/REAL_LE_MAX2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_lt_mono' 'h4/thm/numeral/numeral_distrib_28'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_lt' 'h4/thm/string/char_lt_def_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_lt_mono_neg_r' 'h4/thm/rat/RAT_LES_RMUL_NEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_lt_iff' 'h4/thm/arithmetic/MAX_LT_0'
0. 'coq/Coq_NArith_BinNat_N_pow_le_mono_r_iff'#@#variant 'h4/thm/real/REAL_LE_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_add_lt_sub_r' 'h4/thm/arithmetic/SUB_LEFT_LESS_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_le_mono' 'h4/thm/prim_rec/LESS_MONO_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_spec_compare' 'h4/thm/intto/pos_pos_thm_'
0. 'coq/Coq_Reals_RIneq_Rplus_le_lt_0_compat'#@#variant 'h4/thm/integer/INT_LET_ADD_'#@#variant
0. 'coq/Coq_QArith_Qreduction_Qred_comp' 'h4/thm/transc/EXP_MONO_IMP_'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_le_mono' 'h4/thm/prim_rec/LESS_MONO_'
0. 'coq/Coq_QArith_Qcanon_canon' 'h4/thm/float/REAL_ABS_NUM_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_succ_l' 'h4/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_PArith_Pnat_Pmult_nat_l_plus_morphism'#@#variant 'h4/thm/poly/POLY_ADD_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_lub_iff' 'h4/thm/arithmetic/MAX_LT_e1'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_le_mono' 'h4/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_quot_1_r' 'h4/thm/integer/INT_SUB_REDUCE_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lcm_1_l'#@#variant 'h4/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_divide_r' 'h4/thm/real/REAL_MIN_LE2_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_1_succ' 'h4/thm/transc/ATN_BOUNDS_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_factor_r' 'h4/thm/hreal/HRAT_LT_ADDR_'
0. 'coq/Coq_ZArith_BinInt_Z_max_le_compat_r' 'h4/thm/arithmetic/LESS_MONO_MULT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_0_iff' 'h4/thm/integer/INT_DIV_CALCULATE_3'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_le_compat_l' 'h4/thm/real/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Reals_RIneq_Rle_0_sqr' 'h4/thm/transc/ATN_BOUNDS_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_eq_mul_0' 'h4/thm/extreal/entire_'#@#variant
0. 'coq/Coq_Arith_Lt_lt_0_neq'#@#variant 'h4/thm/real/REAL_POS_NZ_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_cancel_r' 'h4/thm/integer/INT_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lxor_eq_0_iff' 'h4/thm/arithmetic/ABS_DIFF_EQ_0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_1_l' 'h4/thm/integer/INT_ADD_CALCULATE_0'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_lt_0_2' 'h4/thm/transc/PI2_BOUNDS_e1'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_le_mono' 'h4/thm/hrat/TRAT_INV_WELLDEFINED_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_nonneg'#@#variant 'h4/thm/numeral/numeral_distrib_32'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pos_pred_succ' 'h4/thm/realax/TREAL_BIJ_0'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_lt_0_1' 'h4/thm/transc/PI2_BOUNDS_e1'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sub_0_l' 'h4/thm/HolSmt/r128_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_neq_0_succ' 'h4/thm/quote/index_distinct_e2'
0. 'coq/Coq_ZArith_Zorder_Zplus_lt_compat_l' 'h4/thm/integer/TINT_LT_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_negb_even' 'h4/thm/ratRing/rat_ring_thms_e17'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_nge' 'h4/thm/real/real_lt_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_max_l' 'h4/thm/real/REAL_LE_MAX1_'
0. 'coq/Coq_NArith_BinNat_N_add_le_mono_l' 'h4/thm/real/REAL_LE_LADD_'
0. 'coq/Coq_ZArith_BinInt_Z_opp_involutive' 'h4/thm/complex/COMPLEX_NEGNEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div2_spec'#@#variant 'h4/thm/arithmetic/ADD1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_negb_even' 'h4/thm/frac/frac_sgn_def_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_nonneg'#@#variant 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_opp_l' 'h4/thm/HolSmt/r130_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_1_l' 'h4/thm/extreal/sub_lzero_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_ge_le_iff' 'h4/thm/integer/INT_GT_CALCULATE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_1_l' 'h4/thm/integer/INT_MUL_LZERO_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_negb_even' 'h4/thm/numRing/num_ring_thms_e17'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_nlt_ge' 'h4/thm/integer/int_le_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_sub_diag' 'h4/thm/real/REAL_SUB_REFL_'#@#variant
0. 'coq/Coq_QArith_Qround_Qceiling_Z' 'h4/thm/ieee/num2ccode_ccode2num_'
0. 'coq/Coq_Reals_R_sqrt_sqrt_le_1_alt' 'h4/thm/real/REAL_POS_MONO_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_inj_wd' 'h4/thm/string/EXPLODE_11_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_le_trans' 'h4/thm/extreal/lte_trans_'
0. 'coq/Coq_ZArith_Znat_Z_nat_N' 'h4/thm/complex/complex_of_num_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_diag' 'h4/thm/extreal/max_refl_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_le_mono_r' 'h4/thm/hreal/HRAT_LT_RADD_'
0. 'coq/Coq_Reals_RIneq_cond_neg' 'h4/thm/string/ORD_BOUND_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_succ_inj_wd' 'h4/thm/numeral/numeral_distrib_19'
0. 'coq/Coq_ZArith_BinInt_Z_quot_1_r' 'h4/thm/real/REAL_SUB_RZERO_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_1' 'h4/thm/transc/SIN_0_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_sub_1_r' 'h4/thm/arithmetic/DIV2_def_'#@#variant
0. 'coq/Coq_ZArith_Zdiv_eqm_refl' 'h4/thm/arithmetic/MODEQ_REFL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lor_assoc' 'h4/thm/hrat/TRAT_ADD_ASSOC_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_sub' 'h4/thm/real/REAL_SUB_ADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_lt_mono_l' 'h4/thm/realax/HREAL_LT_LADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_le_lt_mono' 'h4/thm/integer/INT_LET_ADD2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_reg_r' 'h4/thm/integer/INT_EQ_RMUL_IMP_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_nge' 'h4/thm/HolSmt/r096_'
0. 'coq/Coq_Reals_Rtrigo_calc_Rgt_3PI2_0'#@#variant 'h4/thm/real/REAL_HALF_BETWEEN_tLL'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_refl' 'h4/thm/hrat/TRAT_EQ_REFL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_opp_pred' 'h4/thm/numeral/numeral_iisuc_e2'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_sub_l' 'h4/thm/extreal/min_le1_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lnot_ones' 'h4/thm/real/REAL_ADD_LINV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_le_mono' 'h4/thm/bit/TWOEXP_MONO2_'#@#variant
0. 'coq/Coq_Classes_DecidableClass_Decidable_le_nat_obligation_1' 'h4/thm/quote/index_lt_def_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_0_l' 'h4/thm/extreal/sub_lzero_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sqrt_le_mono' 'h4/thm/prim_rec/LESS_MONO_'
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_refl' 'h4/thm/rat/RAT_EQUIV_REF_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_divide_mono_r' 'h4/thm/extreal/le_radd_imp_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_pos_l'#@#variant 'h4/thm/arithmetic/EXP_BASE_LT_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_glb_iff' 'h4/thm/extreal/le_min_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lcm_1_l' 'h4/thm/integer/INT_ADD_LID_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_div_1_r' 'h4/thm/arithmetic/DIV_ONE_'
0. 'coq/Coq_ZArith_BinInt_Z_add_pos_pos' 'h4/thm/realax/TREAL_LT_MUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_nge' 'h4/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_N_of_Z'#@#variant 'h4/thm/ASCIInumbers/DEC_UNDEC_'
0. 'coq/Coq_NArith_BinNat_N_min_le_compat_l' 'h4/thm/extreal/le_ladd_imp_'
0. 'coq/Coq_ZArith_BinInt_Z_eq_mul_0' 'h4/thm/intExtension/INT_NO_ZERODIV_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_1_l'#@#variant 'h4/thm/util_prob/lg_def_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_nle_gt' 'h4/thm/arithmetic/NOT_LESS_EQUAL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_succ_le_mono' 'h4/thm/numeral/numeral_distrib_22'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div_lt'#@#variant 'h4/thm/arithmetic/DIV_LESS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_0_mul_prime' 'h4/thm/arithmetic/ZERO_LESS_MULT_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_gt' 'h4/thm/string/char_le_def_'
0. 'coq/Coq_Lists_List_app_assoc' 'h4/thm/sptree/union_assoc_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_le' 'h4/thm/string/char_lt_def_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_le_compat_l' 'h4/thm/integer/TINT_LT_ADD_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lt_total' 'h4/thm/rat/RAT_LES_TOTAL_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_l2i_i2l'#@#variant 'h4/thm/real/NUM_FLOOR_EQNS_0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_le_mono' 'h4/thm/numeral/numeral_lt_4'
0. 'coq/Coq_ZArith_BinInt_Z_rem_1_r'#@#variant 'h4/thm/numeral/numeral_distrib_11'#@#variant
0. 'coq/Coq_Reals_Exp_prop_exp_plus' 'h4/thm/complex/COMPLEX_EXP_SUB_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_eq_cases' 'h4/thm/integer/INT_LE_CALCULATE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_le_compat_l' 'h4/thm/realax/REAL_LT_IADD_'
0. 'coq/Coq_Numbers_Cyclic_ZModulo_ZModulo_spec_more_than_1_digit'#@#variant 'h4/thm/real/REAL_NZ_IMP_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_nonneg' 'h4/thm/integral/LT_0_'
0. 'coq/Coq_ZArith_BinInt_Z_lnot_involutive' 'h4/thm/real/REAL_NEG_NEG_'
0. 'coq/Coq_ZArith_Zpow_alt_Zpower_alt_0_r'#@#variant 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRL'#@#variant
0. 'coq/Coq_Bool_Bool_diff_true_false' 'h4/thm/binary_ieee/float_compare_distinct_3'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_eqk_refl'#@#variant 'h4/thm/rich_list/IS_PREFIX_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lxor_m1_l'#@#variant 'h4/thm/HolSmt/r128_'#@#variant
0. 'coq/Coq_Reals_RIneq_Ropp_div' 'h4/thm/rat/RAT_AINV_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_cancel_l' 'h4/thm/arithmetic/EQ_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_ge_cases' 'h4/thm/integer/INT_LTE_TOTAL_'
0. 'coq/Coq_ZArith_BinInt_Z_le_succ_diag_r' 'h4/thm/real/REAL_POS_INFLATE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_lt_mono_r_iff'#@#variant 'h4/thm/transc/RPOW_LT_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_0_r'#@#variant 'h4/thm/util_prob/logr_1_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_neq_0_lt_0' 'h4/thm/arithmetic/NOT_ZERO_LT_ZERO_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_testbit_even_0'#@#variant 'h4/thm/quote/index_compare_def_4'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_add_lt_sub_r' 'h4/thm/integer/INT_LT_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_land_diag' 'h4/thm/extreal/min_refl_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_lteq' 'h4/thm/string/string_le_def_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_opp_le_mono' 'h4/thm/extreal/lt_neg_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_nge' 'h4/thm/integer/INT_NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lcm_eq_0' 'h4/thm/arithmetic/MULT_EQ_0_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_cancel_l' 'h4/thm/complex/COMPLEX_EQ_LADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_le_mono_r' 'h4/thm/integer/INT_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_0_succ' 'h4/thm/transc/ATN_0'#@#variant
0. 'coq/Coq_NArith_BinNat_N_ge_le_iff' 'h4/thm/arithmetic/GREATER_DEF_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_id' 'h4/thm/arithmetic/MIN_IDEM_'
0. 'coq/Coq_PArith_Pnat_Nat2Pos_inj_pred' 'h4/thm/quote/index_size_def_1'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_asymm' 'h4/thm/string/string_lt_antisym_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_even_1' 'h4/thm/rat/rat_of_num_def_compute_1'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_1' 'h4/thm/integerRing/int_calculate_e13'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_pred_of_succ_nat' 'h4/thm/util_prob/lg_pow_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_lub_iff' 'h4/thm/util_prob/MAX_LE_X_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lxor_eq_0_iff' 'h4/thm/rat/RAT_LES_SUB0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_lt_mono' 'h4/thm/integerRing/int_rewrites_tLRRRLRRR'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_1' 'h4/thm/integer/INT_ADD_REDUCE_2'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_square' 'h4/thm/extreal/extreal_exp_def_0'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_of_Q' 'h4/thm/ieee/num2roundmode_roundmode2num_'
0. 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_mult_lt_compat_l'#@#variant 'h4/thm/extreal/le_lmul_imp_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_divide_xO_xO' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_even_1' 'h4/thm/float/FLOAT_INFINITIES_SIGNED_0'#@#variant
0. 'coq/Coq_PArith_Pnat_SuccNat2Pos_inj_iff' 'h4/thm/complex/COMPLEX_OF_NUM_EQ_'#@#variant
0. 'coq/Coq_Bool_Bool_diff_true_false' 'h4/thm/rat/RAT_1_NOT_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_neq' 'h4/thm/realax/HREAL_LT_NE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_pos_pos' 'h4/thm/integer/INT_LT_MUL_'
0. 'coq/Coq_Reals_Rtrigo1_PI_RGT_0' 'h4/thm/transc/PI2_BOUNDS_e1'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftr_div_pow2'#@#variant 'h4/thm/integer/INT_SUB_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_min_r' 'h4/thm/real/REAL_MIN_LE2_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_refl' 'h4/thm/extreal/le_refl_'
0. 'coq/Coq_QArith_QOrderedType_QOrder_eq_refl' 'h4/thm/arithmetic/LESS_EQ_REFL_'
0. 'coq/Coq_Reals_Rbasic_fun_Rle_max_compat_r' 'h4/thm/integer/TINT_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_le_iff' 'h4/thm/arithmetic/MIN_LT_0'
0. 'coq/Coq_NArith_BinNat_N_div_1_r' 'h4/thm/HolSmt/r214_'
0. 'coq/Coq_Reals_Rtrigo_calc_sqrt2_neq_0'#@#variant 'h4/thm/ieee/roundmode_distinct_e5'
0. 'coq/Coq_PArith_Pnat_SuccNat2Pos_inj_iff' 'h4/thm/binary_ieee/float_value_11_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_diag' 'h4/thm/extreal/max_refl_'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_div2' 'h4/thm/extreal/extreal_sqrt_def_0'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_gt_cases' 'h4/thm/integer/INT_LET_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_nle_gt' 'h4/thm/integer/int_le_'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_nonzero' 'h4/thm/transc/RPOW_NZ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_sub_le_add_l' 'h4/thm/arithmetic/SUB_RIGHT_GREATER_'
0. 'coq/Coq_Lists_List_app_nil_l' 'h4/thm/sptree/union_LN_e1'
0. 'coq/Coq_Arith_PeanoNat_Nat_testbit_even_0'#@#variant 'h4/thm/toto/num_dtOrd_3'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_nge' 'h4/thm/real/REAL_NOT_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ldiff_m1_r'#@#variant 'h4/thm/arithmetic/EXP_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_pred' 'h4/thm/sptree/lrnext_thm_3'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_max_r' 'h4/thm/extreal/le_max2_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_ge' 'h4/thm/string/char_le_def_'
0. 'coq/Coq_Bool_Bool_eqb_negb2' 'h4/thm/hreal/HRAT_MUL_RINV_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_pred_l' 'h4/thm/numpair/nsnd_le_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_pos'#@#variant 'h4/thm/real/REAL_LT_INV_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mod_mod' 'h4/thm/integer/INT_MOD_MOD_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_le_succ_diag_r' 'h4/thm/real/ABS_LE_'
0. 'coq/Coq_ZArith_BinInt_Z_shiftl_opp_r' 'h4/thm/integer/INT_SUB_RNEG_'
0. 'coq/Coq_NArith_BinNat_N_div2_succ_double' 'h4/thm/transc/LN_EXP_'
0. 'coq/Coq_NArith_BinNat_N_lt_irrefl' 'h4/thm/integer/TINT_LT_REFL_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_negb_odd' 'h4/thm/frac/frac_sgn_def_'
0. 'coq/Coq_Reals_RIneq_Rmult_le_pos' 'h4/thm/binary_ieee/le2_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_reg_l' 'h4/thm/integer/INT_EQ_LMUL_IMP_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lnot_0_l' 'h4/thm/integer/INT_SUB_REDUCE_1'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ge_le_iff' 'h4/thm/arithmetic/GREATER_DEF_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_simpl_r' 'h4/thm/real/REAL_ADD_SUB_ALT_'
0. 'coq/Coq_ZArith_BinInt_Z_min_le_compat_r' 'h4/thm/extreal/le_radd_imp_'
0. 'coq/Coq_Reals_Rfunctions_R_dist_refl' 'h4/thm/rat/RAT_EQ_SUB0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_nlt' 'h4/thm/HolSmt/r096_'
0. 'coq/Coq_Reals_RIneq_Ropp_minus_distr' 'h4/thm/rat/RAT_AINV_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ldiff_land' 'h4/thm/complex/complex_div_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_null'#@#variant 'h4/thm/intExtension/INT_SGN_CLAUSES_0'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_Even_succ' 'h4/thm/binary_ieee/exp_ge2_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_diag'#@#variant 'h4/thm/arithmetic/TIMES2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_lxor_r' 'h4/thm/arithmetic/ADD_SUC_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_succ' 'h4/thm/numeral/numeral_iisuc_1'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_le_mono_r' 'h4/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_ge_le_iff' 'h4/thm/rat/rat_gre_def_'
0. 'coq/Coq_NArith_BinNat_N_lor_diag' 'h4/thm/extreal/max_refl_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_lt_mono_pos_r'#@#variant 'h4/thm/logroot/EXP_LT_ISO_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_le_mono' 'h4/thm/transc/EXP_MONO_IMP_'
0. 'coq/Coq_ZArith_BinInt_Z_succ_le_mono' 'h4/thm/arithmetic/LESS_MONO_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_sub_1_r' 'h4/thm/arithmetic/ADD1_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_total' 'h4/thm/string/string_lt_cases_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_r' 'h4/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_pos_pos' 'h4/thm/realax/TREAL_LT_MUL_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_sqrt' 'h4/thm/extreal/extreal_exp_def_0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_add_r' 'h4/thm/real/REAL_LE_MAX1_'
0. 'coq/Coq_Structures_OrdersEx_PositiveOrderedTypeBits_bits_lt_antirefl' 'h4/thm/hreal/HRAT_LT_REFL_'
0. 'coq/Coq_Strings_Ascii_ascii_N_embedding' 'h4/thm/num/num_ISO_DEF_0'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_1_l' 'h4/thm/integer/INT_DIVIDES_1_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_lt_mono_r' 'h4/thm/real/REAL_LE_SUB_CANCEL2_'
0. 'coq/Coq_Arith_PeanoNat_Nat_succ_inj_wd' 'h4/thm/numpair/tri_11_'
0. 'coq/Coq_Arith_Max_le_max_r' 'h4/thm/real/REAL_LE_MAX2_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_add_r' 'h4/thm/divides/DIVIDES_ADD_1_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_lt_trans' 'h4/thm/arithmetic/LESS_EQ_LESS_TRANS_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_le_mono_r' 'h4/thm/arithmetic/LESS_MONO_ADD_EQ_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_cancel_l' 'h4/thm/hreal/HRAT_LT_LMUL_'
0. 'coq/Coq_ZArith_Zpower_two_power_pos_equiv'#@#variant 'h4/thm/frac/frac_sgn_def_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_succ_lt_mono' 'h4/thm/numeral/numeral_lt_3'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_cancel_r' 'h4/thm/integer/INT_EQ_RADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_add' 'h4/thm/real/REAL_SUB_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_le_mono_r' 'h4/thm/hreal/HRAT_LT_RADD_'
0. 'coq/Coq_ZArith_Zquot_Zquot_opp_l' 'h4/thm/extreal/mul_lneg_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lcm_eq_0' 'h4/thm/intExtension/INT_NO_ZERODIV_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_gcd_divide_l' 'h4/thm/real/REAL_MIN_LE1_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_lt_mono_pos_l'#@#variant 'h4/thm/int_arith/lt_justify_multiplication_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_add_lt_mono_r' 'h4/thm/arithmetic/LESS_MONO_ADD_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_succ_diag_r' 'h4/thm/arithmetic/LESS_EQ_SUC_REFL_'
0. 'coq/Coq_PArith_BinPos_Pos_add_succ_l' 'h4/thm/integer/INT_MUL_CALCULATE_1'
0. 'coq/Coq_Arith_PeanoNat_Nat_setbit_spec_prime'#@#variant 'h4/thm/complex/COMPLEX_SUB_RNEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_lt_mono_pos_r'#@#variant 'h4/thm/rat/RAT_LES_RMUL_POS_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_le_mono' 'h4/thm/numeral/numeral_lt_3'
0. 'coq/Coq_PArith_BinPos_Pos_min_le_compat_l' 'h4/thm/realax/TREAL_LT_ADD_'#@#variant
0. 'coq/Coq_Reals_Rtrigo_calc_Rlt_sqrt3_0'#@#variant 'h4/thm/real/REAL_THIRDS_BETWEEN_tLRRL'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lxor_m1_l'#@#variant 'h4/thm/HolSmt/r221_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_sub_le_add_r' 'h4/thm/real/REAL_LE_SUB_LADD_'
0. 'coq/Coq_QArith_Qcanon_Q_apart_0_1'#@#variant 'h4/thm/frac/FRAC_1_0_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_sub_le_add_l' 'h4/thm/arithmetic/SUB_RIGHT_GREATER_'
0. 'coq/Coq_Reals_RIneq_Rplus_le_le_0_compat' 'h4/thm/realax/REAL_LT_MUL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_lcm_r' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_1'
0. 'coq/Coq_QArith_Qminmax_Q_max_le_compat_l' 'h4/thm/real/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_asymm' 'h4/thm/integer/INT_LT_ANTISYM_'
0. 'coq/Coq_Bool_Bool_diff_true_false' 'h4/thm/binary_ieee/rounding_distinct_4'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_lt_add_r' 'h4/thm/arithmetic/LESS_IMP_LESS_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_glb_lt' 'h4/thm/divides/DIVIDES_SUB_'
0. 'coq/Coq_Reals_Rbasic_fun_Rle_max_compat_l' 'h4/thm/realax/REAL_LT_IADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_pos'#@#variant 'h4/thm/real/REAL_LE_INV_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_neq' 'h4/thm/real/REAL_LT_LE_'
0. 'coq/Coq_ZArith_BinInt_Z_abs_0_iff' 'h4/thm/extreal/neg_eq0_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sub_pred_l' 'h4/thm/arithmetic/ADD_e1'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_lub_lt_iff' 'h4/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_PArith_BinPos_Pos_gt_lt_iff' 'h4/thm/HolSmt/r103_'
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_divide/1' 'h4/thm/real/REAL_MIN_LE2_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_lub_lt_iff' 'h4/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_iff' 'h4/thm/real/eq_ints_0'
0. 'coq/Coq_PArith_BinPos_Pos_add_succ_l' 'h4/thm/frac/FRAC_AINV_LMUL_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_opp' 'h4/thm/DeepSyntax/deep_form_size_def_2'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_minus_one_neq_zero'#@#variant 'h4/thm/prelim/ordering_distinct_e2'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_id' 'h4/thm/real/REAL_MAX_REFL_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_lt' 'h4/thm/integer/int_lt_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_max_lt_iff' 'h4/thm/real/REAL_LE_MAX_'
0. 'coq/Coq_PArith_BinPos_Pos_mul_lt_mono_l' 'h4/thm/rat/RAT_LES_LADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_lt_mono_r' 'h4/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_lt_mono_r_iff'#@#variant 'h4/thm/logroot/LT_EXP_ISO_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_clearbit_spec_prime'#@#variant 'h4/thm/complex/complex_sub_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_refl' 'h4/thm/poly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_land_lnot_diag' 'h4/thm/real/REAL_ADD_RINV_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_divide_mul_r' 'h4/thm/integer/INT_DIVIDES_RMUL_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_gt' 'h4/thm/real/lt_int_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_succ_r_prime' 'h4/thm/arithmetic/EXP_e1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_add_le' 'h4/thm/real/REAL_ABS_TRIANGLE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_r' 'h4/thm/real/REAL_MAX_ALT_0'
0. 'coq/Coq_PArith_BinPos_Pos_add_cancel_l' 'h4/thm/arithmetic/EQ_ADD_LCANCEL_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_pos' 'h4/thm/rat/RAT_SGN_CALCULATE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_move_0_r' 'h4/thm/arithmetic/ABS_DIFF_EQ_0_'
0. 'coq/Coq_Reals_RIneq_Rmult_integral_contrapositive' 'h4/thm/extreal/add_not_infty_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_1' 'h4/thm/integerRing/int_rewrites_tRRRRRRRRRRRRRL'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_0_sub'#@#variant 'h4/thm/rat/RAT_LES_0SUB_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_lt_trans' 'h4/thm/real/REAL_LET_TRANS_'
0. 'coq/Coq_Reals_ROrderedType_ROrder_not_gt_le' 'h4/thm/arithmetic/LESS_CASES_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_sub_1_r' 'h4/thm/arithmetic/ADD1_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_rem_opp_l_prime' 'h4/thm/complex/COMPLEX_MUL_LNEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_lxor_l' 'h4/thm/extreal/mul_lneg_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_1_r'#@#variant 'h4/thm/arithmetic/PRE_SUB1_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_sub_mask_neg_iff_prime' 'h4/thm/quote/index_lt_def_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_neq_succ_0' 'h4/thm/intto/BIT1_nz_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_quot_le_mono'#@#variant 'h4/thm/real/REAL_LT_RMUL_IMP_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_opp_succ' 'h4/thm/sptree/lrnext_thm_3'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_Odd_succ' 'h4/thm/numeral/numeral_distrib_21'#@#variant
0. 'coq/Coq_PArith_BinPos_Pplus_one_succ_l' 'h4/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sub_le_mono_r' 'h4/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_lt' 'h4/thm/integer/INT_LE_'
0. 'coq/Coq_Arith_Plus_plus_lt_compat_l' 'h4/thm/extreal/le_ladd_imp_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_add_le_sub_r' 'h4/thm/rat/RAT_RSUB_LES_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_1_l' 'h4/thm/extreal/mul_lzero_'
0. 'coq/Coq_QArith_Qreals_Q2R_opp' 'h4/thm/complex/COMPLEX_OF_REAL_NEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_le_trans' 'h4/thm/extreal/lte_trans_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_divide' 'h4/thm/real/REAL_LE_'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_E_bits_lt_antirefl' 'h4/thm/string/string_lt_nonrefl_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_le_compat_r' 'h4/thm/arithmetic/LESS_MONO_ADD_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_le_mono' 'h4/thm/bit/TWOEXP_MONO_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_le_lt_trans' 'h4/thm/rat/RAT_LEQ_LES_TRANS_'
0. 'coq/Coq_ZArith_BinInt_Z_add_succ_l' 'h4/thm/frac/FRAC_AINV_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_square_spec' 'h4/thm/numeral/iSQR_'
0. 'coq/Coq_ZArith_BinInt_Z_max_id' 'h4/thm/arithmetic/MIN_IDEM_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_le_mono_l' 'h4/thm/hreal/HRAT_LT_LMUL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_min_glb_iff' 'h4/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_involutive' 'h4/thm/frac/FRAC_AINV_AINV_'
0. 'coq/Coq_ZArith_Znat_N2Z_id' 'h4/thm/toto/cpn_BIJ_0'
0. 'coq/Coq_ZArith_Znat_N2Z_id' 'h4/thm/prelim/ordering_BIJ_0'
0. 'coq/Coq_Sets_Uniset_leb_refl' 'h4/thm/realax/TREAL_EQ_REFL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sub_opp_r' 'h4/thm/complex/complex_sub_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_le_mono_pos_l'#@#variant 'h4/thm/arithmetic/EXP_BASE_LT_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_nonneg_nonpos'#@#variant 'h4/thm/extreal/mul_le_'#@#variant
0. 'coq/Coq_Bool_Bool_xorb_true_l' 'h4/thm/util_prob/lg_def_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_shuffle3' 'h4/thm/HolSmt/r086_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_succ_lt_mono' 'h4/thm/integerRing/int_rewrites_tLRRRRLRRR'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_red' 'h4/thm/rat/RAT_AINV_CALCULATE_'
0. 'coq/Coq_PArith_BinPos_Pos_max_le_compat_r' 'h4/thm/hrat/TRAT_MUL_WELLDEFINED_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_le_mono' 'h4/thm/rat/RAT_LES_AINV_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_asymm' 'h4/thm/realax/HREAL_LT_GT_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_max_l' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_0'
0. 'coq/Coq_ZArith_BinInt_Z_le_pred_l' 'h4/thm/numpair/nfst_le_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_le_compat_l' 'h4/thm/integer/TINT_LT_ADD_'#@#variant
0. 'coq/Coq_NArith_Nnat_N2Nat_id' 'h4/thm/binary_ieee/num2float_compare_float_compare2num_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_succ_diag_r' 'h4/thm/arithmetic/LESS_EQ_SUC_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_xO_r' 'h4/thm/extreal/mul_rneg_'
0. 'coq/Coq_ZArith_BinInt_Z_min_lt_iff' 'h4/thm/real/REAL_MIN_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_lt_mono' 'h4/thm/numpair/tri_LE_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_ge_cases' 'h4/thm/real/REAL_LET_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_lt_mono_l' 'h4/thm/integer/INT_LE_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lcm_divide_iff' 'h4/thm/arithmetic/MAX_LE_e1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lcm_eq_0' 'h4/thm/real/REAL_ENTIRE_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_land_lnot_diag' 'h4/thm/rat/RAT_ADD_RINV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_sub_l' 'h4/thm/extreal/min_le1_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_inj_wd' 'h4/thm/toto/num_dt_11_e1'
0. 'coq/Coq_NArith_BinNat_N_sqrt_le_mono' 'h4/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_lt_mono' 'h4/thm/extreal/lt_neg_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ones_equiv'#@#variant 'h4/thm/numeral_bit/NUMERAL_iDIV2_4'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_pos_pos' 'h4/thm/integer/INT_LT_MUL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_add_distr' 'h4/thm/arithmetic/EXP_EXP_MULT_'
0. 'coq/Coq_Reals_Rtrigo1_SIN_bound/0'#@#variant 'h4/thm/transc/ATN_BOUNDS_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_1_l' 'h4/thm/rat/RAT_SUB_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_0_r'#@#variant 'h4/thm/integer/INT_MOD_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_add_le_sub_r' 'h4/thm/extreal/le_sub_imp_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_opp' 'h4/thm/complex/CONJ_NEG_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_r' 'h4/thm/integer/TINT_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_pred_succ' 'h4/thm/transc/LN_EXP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_1_r' 'h4/thm/real/REAL_ADD_RID_'
0. 'coq/Coq_PArith_BinPos_Pos_succ_inj' 'h4/thm/num/INV_SUC_'
0. 'coq/Coq_Reals_Rfunctions_pow_1'#@#variant 'h4/thm/extreal/pow_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftl_mul_pow2'#@#variant 'h4/thm/complex/complex_sub_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_pred_r' 'h4/thm/complex/COMPLEX_MUL_RNEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_lt_cancel' 'h4/thm/arithmetic/LESS_MONO_REV_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_square_spec' 'h4/thm/real/REAL_DOUBLE_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lt_1_mul_pos'#@#variant 'h4/thm/extreal/lte_add_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_nlt_ge' 'h4/thm/integer/INT_NOT_LE_'
0. 'coq/Coq_NArith_Nnat_Nat2N_id' 'h4/thm/toto/num2cpn_cpn2num_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_nonneg_pos'#@#variant 'h4/thm/integer/INT_LET_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_lt_mono_pos_l'#@#variant 'h4/thm/integer/INT_LE_MONO_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigN_BigZ_spec_Z_of_N' 'h4/thm/ieee/Sign_'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_le' 'h4/thm/integer/int_lt_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sub_0_le' 'h4/thm/arithmetic/SUB_EQ_0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_pos_neg'#@#variant 'h4/thm/integer/INT_NEG_GE0_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qmult_le_l'#@#variant 'h4/thm/int_arith/justify_divides_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div2_succ_double' 'h4/thm/numeral/numeral_add_0'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_glb_lt' 'h4/thm/divides/DIVIDES_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_rem_opp_l_prime' 'h4/thm/complex/COMPLEX_NEG_LDIV_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_max_id' 'h4/thm/gcd/GCD_REF_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_le_mono_l' 'h4/thm/arithmetic/LT_ADD_LCANCEL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_ge_le_iff' 'h4/thm/arithmetic/GREATER_DEF_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_ge' 'h4/thm/real/lt_int_0'
0. 'coq/Coq_Bool_Bool_eqb_reflx' 'h4/thm/integer/INT_SUB_REFL_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_gcd_divide_r' 'h4/thm/real/REAL_MIN_LE2_'
0. 'coq/Coq_QArith_QArith_base_inject_Z_opp' 'h4/thm/quote/index_size_def_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_lt_mono_pos_l'#@#variant 'h4/thm/int_arith/lt_justify_multiplication_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_nge' 'h4/thm/real/real_lt_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_double'#@#variant 'h4/thm/util_prob/lg_inv_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lnot_0_l' 'h4/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_Bool_Bool_diff_false_true' 'h4/thm/ieee/ccode_distinct_4'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_bounded/0'#@#variant 'h4/thm/extreal/le_num_'#@#variant
0. 'coq/Coq_ZArith_Zdiv_Zmod_eq_full' 'h4/thm/integer/int_mod_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_neq_succ_0' 'h4/thm/arithmetic/NOT_SUC_LESS_EQ_0_'
0. 'coq/Coq_ZArith_BinInt_Z_setbit_spec_prime'#@#variant 'h4/thm/HolSmt/r131_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_refl' 'h4/thm/divides/DIVIDES_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_refl' 'h4/thm/rat/RAT_EQUIV_REF_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_opp' 'h4/thm/complex/COMPLEX_INV_NEG_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_add_lt_sub_r' 'h4/thm/integer/INT_LE_SUB_LADD_'
0. 'coq/Coq_PArith_BinPos_Pos_lt_not_add_l' 'h4/thm/realax/HREAL_LT_ADDR_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_pos_le'#@#variant 'h4/thm/divides/DIVIDES_LE_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_0_iff' 'h4/thm/numpair/tri_eq_0_e1'
0. 'coq/Coq_ZArith_Zpower_two_power_nat_S'#@#variant 'h4/thm/complex/COMPLEX_OF_REAL_NEG_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_factor_r' 'h4/thm/extreal/le_max2_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_succ'#@#variant 'h4/thm/integer/INT_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_le' 'h4/thm/integer/INT_LE_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_succ_m1'#@#variant 'h4/thm/transc/COS_2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_Even_succ' 'h4/thm/binary_ieee/exp_ge2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_add_r' 'h4/thm/hreal/HRAT_LT_ADDL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftl_opp_r' 'h4/thm/HolSmt/r131_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_lt_mono_pos_r'#@#variant 'h4/thm/intExtension/INT_LT_RMUL_EXP_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_ldiff_m1_r'#@#variant 'h4/thm/arithmetic/EXP_0'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_succ_diag_r' 'h4/thm/numpair/tri_le_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_l2i_i2l'#@#variant 'h4/thm/binary_ieee/rounding_BIJ_0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_divide_l' 'h4/thm/arithmetic/SUB_LESS_EQ_'
0. 'coq/Coq_Arith_PeanoNat_Nat_min_lt_iff' 'h4/thm/extreal/min_le_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_nonneg_nonneg' 'h4/thm/arithmetic/LESS_MULT2_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lxor_eq_0_iff' 'h4/thm/rat/RAT_EQ_0SUB_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_max_l' 'h4/thm/extreal/le_max1_'
0. 'coq/Coq_ZArith_BinInt_Z_add_le_mono_r' 'h4/thm/arithmetic/LE_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_le_mono' 'h4/thm/bit/TWOEXP_MONO2_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_le_mono_r' 'h4/thm/arithmetic/LESS_MONO_ADD_EQ_'
0. 'coq/Coq_ZArith_Znat_Zabs2Nat_inj_neg' 'h4/thm/ieee/Exponent_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_divide_l' 'h4/thm/arithmetic/SUB_LESS_EQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_le_pred' 'h4/thm/arithmetic/LESS_EQ_IMP_LESS_SUC_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_min_l' 'h4/thm/extreal/min_le1_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_nonneg'#@#variant 'h4/thm/real/REAL_LT_INV_EQ_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qplus_inj_l' 'h4/thm/integer/LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_square_spec' 'h4/thm/arithmetic/TIMES2_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_succ_r' 'h4/thm/real/REAL_NEG_RMUL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_cancel_r' 'h4/thm/arithmetic/LT_ADD_RCANCEL_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_opp_norm' 'h4/thm/real/REAL_INV_POS_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_1' 'h4/thm/transc/SQRT_0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_succ_diag_r' 'h4/thm/real/ABS_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_Even_succ' 'h4/thm/numeral/numeral_distrib_21'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_add_lt_sub_r' 'h4/thm/real/REAL_LT_ADD_SUB_'
0. 'coq/Coq_Reals_Rpower_arcsinh_lt' 'h4/thm/integer/TINT_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_succ' 'h4/thm/numRing/num_rewrites_tLLRRRRRR'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_div_lt'#@#variant 'h4/thm/arithmetic/DIV_LESS_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zplus_le_reg_r' 'h4/thm/arithmetic/LESS_MONO_ADD_INV_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_le_mono_r' 'h4/thm/real/REAL_LE_SUB_CANCEL2_'
0. 'coq/Coq_Numbers_Cyclic_DoubleCyclic_DoubleSqrt_Zplus_mod_one'#@#variant 'h4/thm/arithmetic/ADD_MODULUS_LEFT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_le_trans' 'h4/thm/real/REAL_LTE_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_add_r' 'h4/thm/transc/RPOW_ADD_'
0. 'coq/Coq_QArith_QArith_base_Qplus_inj_l' 'h4/thm/arithmetic/LE_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mod_same' 'h4/thm/integer/INT_MOD_ID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_factor_l' 'h4/thm/real/REAL_LE_MAX1_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_eq_0_r' 'h4/thm/extreal/add_not_infty_0'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_lt_mono_pos_l'#@#variant 'h4/thm/real/REAL_LE_LMUL_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_le_ngt' 'h4/thm/integer/int_le_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_max_r' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_nonneg_nonneg' 'h4/thm/realax/REAL_LT_MUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gt_lt_iff' 'h4/thm/string/string_gt_def_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_total' 'h4/thm/arithmetic/LESS_LESS_CASES_'
0. 'coq/Coq_ZArith_BinInt_Z_add_1_l' 'h4/thm/rat/RAT_SUB_LID_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_le_mono' 'h4/thm/hrat/TRAT_INV_WELLDEFINED_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_add_diag_r' 'h4/thm/gcd/GCD_ADD_R_THM_e1'
0. 'coq/Coq_ZArith_BinInt_ZL0'#@#variant 'h4/thm/extreal/extreal_mul_def_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_div_mul' 'h4/thm/integer/INT_DIV_RMUL_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lxor_eq_0_iff' 'h4/thm/real/REAL_SUB_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_clearbit_spec_prime'#@#variant 'h4/thm/extreal/extreal_div_def_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_refl' 'h4/thm/integer/INT_LE_REFL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_factor_l' 'h4/thm/real/REAL_LE_MAX1_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_lt_lin'#@#variant 'h4/thm/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_le_mono' 'h4/thm/bit/TWOEXP_MONO2_'#@#variant
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_iff' 'h4/thm/complex/COMPLEX_OF_REAL_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_div2_double'#@#variant 'h4/thm/numRing/num_rewrites_tLLRRRR'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_ge_le_iff' 'h4/thm/string/string_ge_def_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_compare_eq_iff' 'h4/thm/quote/compare_index_equal_'
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_pos_l'#@#variant 'h4/thm/int_arith/lt_justify_multiplication_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_divide' 'h4/thm/real/le_int_0'
0. 'coq/Coq_ZArith_Zdiv_Zdiv_opp_opp' 'h4/thm/integer/INT_NEG_MUL2_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_setbit_spec_prime'#@#variant 'h4/thm/extreal/sub_rneg_'
0. 'coq/Coq_NArith_BinNat_N_shiftr_div_pow2'#@#variant 'h4/thm/frac/frac_div_def_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_nonneg_pos'#@#variant 'h4/thm/util_prob/REAL_LT_LE_MUL_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_le_mono_r' 'h4/thm/arithmetic/LESS_MONO_ADD_EQ_'
0. 'coq/Coq_Bool_Bool_eqb_negb1' 'h4/thm/hrat/HRAT_MUL_LINV_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_factor_r' 'h4/thm/integer/INT_DIVIDES_MUL_e1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_land_diag' 'h4/thm/real/REAL_MAX_REFL_'
0. 'coq/Coq_QArith_Qcanon_Qcplus_opp_r'#@#variant 'h4/thm/integer/INT_ADD_RINV_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_pow_pos' 'h4/thm/integer/INT_EXP_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_le_mono_r' 'h4/thm/arithmetic/LE_ADD_RCANCEL_'
0. 'coq/Coq_NArith_BinNat_N_divide_pos_le'#@#variant 'h4/thm/divides/DIVIDES_LE_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lcm_1_l' 'h4/thm/realax/TREAL_MUL_LID_'#@#variant
0. 'coq/Coq_Init_Peano_le_n_S' 'h4/thm/bit/TWOEXP_MONO2_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gt_lt_iff' 'h4/thm/arithmetic/GREATER_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_lt_mono_l' 'h4/thm/real/REAL_LT_LADD_'
0. 'coq/Coq_NArith_BinNat_N_lt_wf_0' 'h4/thm/prim_rec/WF_LESS_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_antisymm' 'h4/thm/divides/DIVIDES_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_succ_diag_r' 'h4/thm/prim_rec/LESS_SUC_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_r' 'h4/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_succ_le_mono' 'h4/thm/numeral/numeral_distrib_22'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_lub_lt_iff' 'h4/thm/arithmetic/MAX_LE_e1'
0. 'coq/Coq_Reals_Ranalysis4_sinh_lt' 'h4/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_min_le_compat_r' 'h4/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_inj_wd' 'h4/thm/complex/CONJ_EQ2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_1_l' 'h4/thm/integral/LE_0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mod_1_l'#@#variant 'h4/thm/arithmetic/ZERO_DIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_total' 'h4/thm/string/string_lt_cases_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_pred_l' 'h4/thm/complex/COMPLEX_NEG_LMUL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_1' 'h4/thm/integerRing/int_calculate_e13'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_opp_diag_l' 'h4/thm/hreal/HREAL_MUL_LINV_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_refl' 'h4/thm/rat/RAT_EQUIV_REF_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_inj' 'h4/thm/divides/PRIMES_11_'
0. 'coq/Coq_QArith_QArith_base_Qplus_assoc' 'h4/thm/hrat/TRAT_MUL_ASSOC_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lcm_assoc' 'h4/thm/hrat/TRAT_ADD_ASSOC_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_lnot_diag'#@#variant 'h4/thm/hreal/HRAT_MUL_RINV_'
0. 'coq/Coq_PArith_BinPos_Pos_lt_le_incl' 'h4/thm/rat/RAT_LES_IMP_LEQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_1_r' 'h4/thm/integer/INT_ADD_REDUCE_1'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_le_incl' 'h4/thm/integer/INT_LT_IMP_LE_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_sqrt' 'h4/thm/toto/num_dt_size_def_e2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_compare_xO_xO' 'h4/thm/toto/num_dtOrd_7'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_even_1' 'h4/thm/float/FLOAT_INFINITIES_SIGNED_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_1' 'h4/thm/real/REAL_ABS_0_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_l' 'h4/thm/real/REAL_LT_IADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gt_lt_iff' 'h4/thm/integer/int_ge_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_cancel_l' 'h4/thm/integer/EQ_LADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_1_mul_pos'#@#variant 'h4/thm/real/REAL_LTE_ADD_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_divide_add_cancel_r' 'h4/thm/divides/DIVIDES_ADD_2_'
0. 'coq/Coq_NArith_BinNat_N_mul_lt_mono_pos_r'#@#variant 'h4/thm/real/REAL_LE_RMUL_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_r' 'h4/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_le_gt_cases' 'h4/thm/real/REAL_LTE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_pred_l' 'h4/thm/complex/COMPLEX_NEG_LMUL_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qplus_le_r' 'h4/thm/realax/HREAL_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_lt_iff' 'h4/thm/arithmetic/MIN_LE_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftr_opp_r' 'h4/thm/real/real_div_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_le_mono_r' 'h4/thm/arithmetic/LT_ADD_RCANCEL_'
0. 'coq/Coq_Reals_Rpower_arcsinh_le' 'h4/thm/integer/TINT_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_ge_le_iff' 'h4/thm/string/string_ge_def_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zplus_lt_compat_r' 'h4/thm/arithmetic/LESS_MONO_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_1_l'#@#variant 'h4/thm/integer/INT_DIVIDES_1_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_nle_gt' 'h4/thm/integer/int_le_'
0. 'coq/Coq_NArith_BinNat_N_log2_up_nonneg' 'h4/thm/transc/ATN_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_pred_l' 'h4/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_ZArith_Znat_Zabs2Nat_id' 'h4/thm/frac/frac_tybij_0'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_cancel_r' 'h4/thm/integer/INT_EQ_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_succ_diag_r' 'h4/thm/real/ABS_LE_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_lteq' 'h4/thm/string/string_le_def_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_lt_mono'#@#variant 'h4/thm/real/REAL_LT_MUL2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mod_1_r'#@#variant 'h4/thm/util_prob/logr_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_lt_iff' 'h4/thm/arithmetic/MIN_LT_0'
0. 'coq/Coq_Bool_Bool_orb_diag' 'h4/thm/gcd/GCD_REF_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_eq_mul_0' 'h4/thm/rat/RAT_NO_ZERODIV_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_ngt' 'h4/thm/arithmetic/NOT_LESS_EQUAL_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_double' 'h4/thm/extreal/extreal_sqrt_def_0'
0. 'coq/Coq_ZArith_Znat_Zabs_nat_N' 'h4/thm/rat/rat_sgn_def_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_id' 'h4/thm/complex/RE_COMPLEX_OF_REAL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_divide_mul_l' 'h4/thm/divides/DIVIDES_MULT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_quot_1_r' 'h4/thm/integer/INT_ADD_RID_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_div2' 'h4/thm/quote/index_size_def_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_setbit_spec_prime'#@#variant 'h4/thm/frac/frac_sub_def_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_nonneg_l'#@#variant 'h4/thm/real/REAL_LT_LMUL_IMP_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sub_le_mono_r' 'h4/thm/arithmetic/LESS_EQ_MONO_ADD_EQ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_nge' 'h4/thm/rat/RAT_LES_LEQ_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_nlt_ge' 'h4/thm/integer/INT_NOT_LE_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_ge_cases' 'h4/thm/arithmetic/LESS_CASES_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_lteq' 'h4/thm/integral/LE_LT_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_lt' 'h4/thm/real/le_int_0'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_gt_lin_r'#@#variant 'h4/thm/arithmetic/X_LT_EXP_X_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_succ_diag_r' 'h4/thm/real/ABS_LE_'
0. 'coq/Coq_Lists_Streams_trans_EqSt' 'h4/thm/sorting/PERM_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_divide_mono_l' 'h4/thm/integer/INT_LT_LADD_IMP_'
0. 'coq/Coq_ZArith_Zquot_Zquot_opp_l' 'h4/thm/rat/RAT_AINV_LMUL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_sub_le_add_r' 'h4/thm/real/REAL_LT_SUB_RADD_'
0. 'coq/Coq_Bool_Bool_xorb_true_l' 'h4/thm/rat/RAT_SUB_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_compare_eq_iff' 'h4/thm/quote/compare_index_equal_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_le_mono_l' 'h4/thm/integer/LT_LADD_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_of_Qc' 'h4/thm/rat/RAT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_testbit_even_0'#@#variant 'h4/thm/toto/num_dtOrd_3'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_succ_lt_mono' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_clearbit_spec_prime'#@#variant 'h4/thm/complex/COMPLEX_SUB_RNEG_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lxor_eq_0_iff' 'h4/thm/real/REAL_SUB_0_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_pred_r' 'h4/thm/rat/RAT_AINV_RMUL_'
0. 'coq/Coq_Reals_RIneq_Rlt_not_le' 'h4/thm/arithmetic/LESS_EQ_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_lt_mono_r' 'h4/thm/arithmetic/LESS_MONO_ADD_EQ_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_succ_le_mono' 'h4/thm/arithmetic/LESS_MONO_EQ_'
0. 'coq/Coq_Arith_PeanoNat_Nat_clearbit_spec_prime'#@#variant 'h4/thm/real/real_div_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_double_mul' 'h4/thm/rat/RAT_AINV_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_ngt' 'h4/thm/rat/RAT_LES_LEQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_succ_r' 'h4/thm/arithmetic/LE_e1'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_lt_mono_r' 'h4/thm/arithmetic/LE_ADD_RCANCEL_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_gt' 'h4/thm/string/char_lt_def_'
0. 'coq/Coq_Arith_Minus_minus_diag_reverse' 'h4/thm/arithmetic/SUB_EQUAL_0_'
0. 'coq/Coq_ZArith_Zorder_Zsucc_le_compat' 'h4/thm/real/REAL_POS_MONO_'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_lt_mono'#@#variant 'h4/thm/integer/INT_LT_MUL2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_sub_l' 'h4/thm/real/REAL_MIN_LE1_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_land_nonneg' 'h4/thm/arithmetic/ZERO_LESS_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_add_pos_r'#@#variant 'h4/thm/arithmetic/X_LE_X_EXP_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_add_lt_sub_r' 'h4/thm/integer/INT_LT_SUB_RADD_'
0. 'coq/Coq_QArith_QArith_base_Qmult_lt_l'#@#variant 'h4/thm/transc/RPOW_LE_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_lt_mono_r' 'h4/thm/hreal/HRAT_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_null_iff' 'h4/thm/real/REAL_INV_EQ_0_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_lt' 'h4/thm/integer/INT_LT_CALCULATE_0'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_succ' 'h4/thm/toto/num_dt_size_def_e2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_r' 'h4/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_nonneg_nonneg' 'h4/thm/realax/TREAL_LT_MUL_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zgt_irrefl' 'h4/thm/prim_rec/LESS_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_trichotomy' 'h4/thm/string/string_lt_cases_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rlt_0_sqr'#@#variant 'h4/thm/intExtension/INT_ABS_NOT0POS_'#@#variant
0. 'coq/Coq_Bool_Bool_andb_diag' 'h4/thm/arithmetic/MAX_IDEM_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_opp_r' 'h4/thm/integer/INT_SUB_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_max_r' 'h4/thm/real/REAL_LE_MAX2_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_id' 'h4/thm/pred_set/pair_to_num_inv_0'#@#variant
0. 'coq/Coq_ZArith_Zeven_Zodd_not_Zeven' 'h4/thm/float/FLOAT_DISTINCT_7'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_le_mono_r' 'h4/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_eq_1'#@#variant 'h4/thm/gcd/GCD_EQ_0_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_divide_mono_r' 'h4/thm/integer/TINT_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_lt_add_r' 'h4/thm/arithmetic/LESS_IMP_LESS_ADD_'
0. 'coq/Coq_PArith_BinPos_Pos_gt_lt_iff' 'h4/thm/real/real_ge_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div2_succ_double' 'h4/thm/bit/LOG2_TWOEXP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_0_r_nonneg'#@#variant 'h4/thm/transc/RPOW_1_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_nonneg'#@#variant 'h4/thm/numeral/numeral_distrib_33'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_min_l' 'h4/thm/extreal/min_le1_'
0. 'coq/Coq_QArith_QArith_base_Qmult_le_l'#@#variant 'h4/thm/arithmetic/EXP_BASE_LE_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_trichotomy' 'h4/thm/string/string_lt_cases_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_lt_m1_0' 'h4/thm/real/REAL_THIRDS_BETWEEN_tRRRL'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_clearbit_spec_prime'#@#variant 'h4/thm/real/REAL_SUB_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_nlt_ge' 'h4/thm/rat/RAT_LEQ_LES_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_pos_r'#@#variant 'h4/thm/real/REAL_LT_RDIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sub_succ' 'h4/thm/complex/COMPLEX_NEG_MUL2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_lub_lt_iff' 'h4/thm/arithmetic/MAX_LE_e1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_neq' 'h4/thm/real/REAL_LT_LE_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_succ_lt_mono' 'h4/thm/numeral/numeral_distrib_22'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lcm_1_r' 'h4/thm/rat/RAT_SUB_RID_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_testbit_even_0'#@#variant 'h4/thm/toto/numeralOrd_3'
0. 'coq/Coq_Reals_SeqProp_CV_minus' 'h4/thm/seq/SER_SUB_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sub_add_distr' 'h4/thm/arithmetic/EXP_EXP_MULT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_lt_mono_l_iff' 'h4/thm/int_arith/INT_DIVIDES_LRMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_id' 'h4/thm/arithmetic/MAX_IDEM_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_inj_wd' 'h4/thm/string/IMPLODE_11_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_lub_lt_iff' 'h4/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_QArith_QArith_base_Qinv_lt_0_compat'#@#variant 'h4/thm/extreal/le_inv_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_setbit_spec_prime'#@#variant 'h4/thm/integer/int_sub_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_opp_r' 'h4/thm/HolSmt/r131_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_le_mono' 'h4/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_pred_succ' 'h4/thm/numpair/invtri_linverse_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_lt_mono_l' 'h4/thm/arithmetic/ADD_MONO_LESS_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_le_compat_l' 'h4/thm/real/REAL_LT_IADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_le_mono_pos_l'#@#variant 'h4/thm/real/REAL_LT_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_double'#@#variant 'h4/thm/util_prob/lg_inv_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div_same'#@#variant 'h4/thm/integer/INT_QUOT_ID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_lcm_l' 'h4/thm/extreal/le_max1_'
0. 'coq/Coq_NArith_Nnat_Nat2N_id' 'h4/thm/string/char_BIJ_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_succ_l' 'h4/thm/integer/INT_MUL_CALCULATE_1'
0. 'coq/Coq_Reals_RIneq_Rplus_gt_compat_l' 'h4/thm/integer/TINT_LT_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_lt_mono_l' 'h4/thm/arithmetic/LE_ADD_LCANCEL_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_le' 'h4/thm/real/le_int_0'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_compare' 'h4/thm/toto/charOrd_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_pred_l' 'h4/thm/integer/INT_MUL_CALCULATE_1'
0. 'coq/Coq_MMaps_MMapWeakList_Some_iff' 'h4/thm/fcp/bit0_11_0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_land_diag' 'h4/thm/real/REAL_MAX_REFL_'
0. 'coq/Coq_fourier_Fourier_util_Rfourier_eqLR_to_le' 'h4/thm/real/REAL_EQ_IMP_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_le_compat_r' 'h4/thm/arithmetic/LESS_MONO_ADD_'
0. 'coq/Coq_ZArith_BinInt_Zminus_succ_l' 'h4/thm/arithmetic/ADD_e1'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_compare_xO_xO' 'h4/thm/toto/qk_numeralOrd_5'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_0_l' 'h4/thm/HolSmt/r221_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_1_r' 'h4/thm/HolSmt/r127_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_lxor_l' 'h4/thm/extreal/mul_lneg_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gt_lt_iff' 'h4/thm/arithmetic/GREATER_EQ_'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_iff' 'h4/thm/ieee/ccode_EQ_ccode_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_neq_succ_0' 'h4/thm/bit/TWOEXP_NOT_ZERO_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_divide_mul_l' 'h4/thm/integer/INT_DIVIDES_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_opp_l' 'h4/thm/arithmetic/ADD_CLAUSES_2'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lcm_1_r' 'h4/thm/extreal/add_rzero_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lnot_0_l' 'h4/thm/numeral/texp_help_def_0'
0. 'coq/Coq_ZArith_BinInt_Z_quot_le_mono'#@#variant 'h4/thm/real/REAL_LE_RMUL_IMP_'#@#variant
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_iff' 'h4/thm/real/REAL_OF_NUM_EQ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lor_lnot_diag'#@#variant 'h4/thm/real/REAL_ADD_RINV_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_add_lt_sub_r' 'h4/thm/arithmetic/SUB_LEFT_GREATER_EQ_'
0. 'coq/Coq_Reals_RIneq_Ropp_div' 'h4/thm/integer/INT_MUL_CALCULATE_1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_l' 'h4/thm/real/REAL_MAX_ALT_e1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_succ' 'h4/thm/sptree/lrnext_thm_e4'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_compare_xO_xO' 'h4/thm/toto/numeralOrd_6'
0. 'coq/Coq_Reals_Rfunctions_Rpow_mult_distr' 'h4/thm/real/POW_MUL_'
0. 'coq/Coq_NArith_BinNat_N_max_le_compat_l' 'h4/thm/extreal/le_ladd_imp_'
0. 'coq/Coq_Arith_PeanoNat_Nat_eq_le_incl' 'h4/thm/hrat/TRAT_EQ_AP_'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_ge' 'h4/thm/string/char_lt_def_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_asymm' 'h4/thm/rat/RAT_LES_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_rem_same' 'h4/thm/integer/INT_REM_ID_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_irrefl' 'h4/thm/extreal/lt_refl_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_digits/0'#@#variant 'h4/thm/realax/REAL_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lxor_m1_r'#@#variant 'h4/thm/arithmetic/ADD1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_square_spec' 'h4/thm/numeral/iSQR_'
0. 'coq/Coq_Reals_Rbasic_fun_Rmin_r' 'h4/thm/extreal/min_le2_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_shuffle3' 'h4/thm/HolSmt/r086_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_lt' 'h4/thm/extreal/abs_bounds_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_eq_cases' 'h4/thm/integer/INT_LE_CALCULATE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_lt_mono_l' 'h4/thm/hreal/HRAT_LT_LMUL_'
0. 'coq/Coq_ZArith_BinInt_Z_pow_pos_nonneg'#@#variant 'h4/thm/util_prob/REAL_LE_LT_MUL_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_le_compat_l' 'h4/thm/integer/TINT_LT_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_eq_0' 'h4/thm/arithmetic/MULT_EQ_1_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_sub_le_add_r' 'h4/thm/integer/INT_LE_SUB_LADD_'
0. 'coq/Coq_ZArith_Zdiv_Zdiv_1_r' 'h4/thm/integer/INT_SUB_REDUCE_0'
0. 'coq/Coq_ZArith_Znat_Nat2Z_is_nonneg'#@#variant 'h4/thm/real/REAL_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_le_mono_r_iff'#@#variant 'h4/thm/arithmetic/EXP_BASE_LE_MONO_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_le' 'h4/thm/integer/INT_LT_CALCULATE_0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_lt_add_l' 'h4/thm/integer/INT_DIVIDES_RMUL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_setbit_spec_prime'#@#variant 'h4/thm/complex/COMPLEX_SUB_RNEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_inj_wd' 'h4/thm/string/IMPLODE_11_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_le_mono' 'h4/thm/numpair/tri_LT_I_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_max_r' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_1'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_succ_diag_r' 'h4/thm/numpair/tri_le_'
0. 'coq/Coq_ZArith_BinInt_Z_add_opp_r' 'h4/thm/extreal/extreal_sub_add_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mod_0_l' 'h4/thm/integer/INT_REM0_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_gcd_divide_l' 'h4/thm/real/REAL_MIN_LE1_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_le_incl' 'h4/thm/real/REAL_LT_IMP_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_antisym' 'h4/thm/arithmetic/LESS_EQUAL_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_le_mono' 'h4/thm/rat/RAT_LES_AINV_'
0. 'coq/Coq_ZArith_BinInt_Z_succ_lt_mono' 'h4/thm/numeral/numeral_lte_3'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_min_l' 'h4/thm/extreal/min_le1_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_pred_l' 'h4/thm/complex/COMPLEX_NEG_LDIV_'#@#variant
0. 'coq/Coq_Reals_R_sqrt_sqrt_Rsqr_abs' 'h4/thm/numRing/num_rewrites_tLRLRR'
0. 'coq/Coq_ZArith_BinInt_Z_pred_inj_wd' 'h4/thm/real/REAL_EQ_NEG_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_sub' 'h4/thm/complex/COMPLEX_SUB_ADD_'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qcopp_involutive' 'h4/thm/integer/INT_NEGNEG_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_total' 'h4/thm/integer/INT_LT_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_involutive' 'h4/thm/integer/INT_NEGNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_inj_wd' 'h4/thm/toto/num_dt_11_e1'
0. 'coq/Coq_ZArith_BinInt_Z_lt_lt_succ_r' 'h4/thm/prim_rec/LESS_SUC_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_lt_mono' 'h4/thm/extreal/lt_neg_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_sub_r' 'h4/thm/divides/DIVIDES_SUB_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_refl' 'h4/thm/rat/RAT_LEQ_REF_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_odd_1' 'h4/thm/float/FLOAT_INFINITIES_SIGNED_0'#@#variant
0. 'coq/Coq_Arith_Mult_mult_lt_compat_l'#@#variant 'h4/thm/real/REAL_LE_LMUL_IMP_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_abs_nonneg' 'h4/thm/transc/ATN_BOUNDS_0'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zmult_lt_0_le_compat_r'#@#variant 'h4/thm/integral/REAL_LE_RMUL1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_glb_iff' 'h4/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_nonneg' 'h4/thm/transc/ATN_0'#@#variant
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_iff' 'h4/thm/binary_ieee/float_value_11_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_nlt_ge' 'h4/thm/integer/int_le_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_le_mono_pos_l'#@#variant 'h4/thm/int_arith/justify_divides_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_COS_bound/0'#@#variant 'h4/thm/arithmetic/FACT_LESS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_neq_0_succ' 'h4/thm/transc/EXP_NZ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_refl' 'h4/thm/integer/INT_LE_REFL_'
0. 'coq/Coq_NArith_BinNat_N_lt_wf_0' 'h4/thm/toto/StrongLinearOrder_LESS_'
0. 'coq/Coq_NArith_BinNat_N_neq_mul_0' 'h4/thm/rat/RAT_NO_ZERODIV_NEG_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zsucc_lt_compat' 'h4/thm/integer/TINT_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_id' 'h4/thm/prelim/num2ordering_ordering2num_'
0. 'coq/Coq_NArith_BinNat_N_succ_lt_mono' 'h4/thm/integerRing/int_rewrites_tLRRRLRRR'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_lt_cancel' 'h4/thm/arithmetic/LESS_MONO_REV_'
0. 'coq/Coq_ZArith_Zdiv_Zdiv_opp_opp' 'h4/thm/extreal/neg_mul2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_le_mono' 'h4/thm/transc/EXP_MONO_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lnot_0_l' 'h4/thm/integer/INT_SUB_REDUCE_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_lt_mono_r' 'h4/thm/integer/INT_LE_RADD_'
0. 'coq/Coq_ZArith_Zquot_Zquot_Zquot' 'h4/thm/arithmetic/EXP_EXP_MULT_'
0. 'coq/Coq_Reals_RIneq_Rplus_lt_compat_r' 'h4/thm/arithmetic/LESS_MONO_MULT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_even_1' 'h4/thm/ieee/Minus_zero_'#@#variant
0. 'coq/Coq_Reals_ROrderedType_ROrder_TO_lt_total' 'h4/thm/string/string_lt_cases_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_lt_iff' 'h4/thm/real/REAL_MIN_LE_'
0. 'coq/Coq_ZArith_BinInt_Z_max_lub' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_e2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_null_iff' 'h4/thm/integer/INT_ABS_EQ0_'#@#variant
0. 'coq/Coq_Reals_AltSeries_PI_tg_pos' 'h4/thm/extreal/lt_infty_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_total' 'h4/thm/hreal/HRAT_LT_TOTAL_'
0. 'coq/Coq_ZArith_Znat_Zabs2N_id' 'h4/thm/pred_set/pair_to_num_inv_0'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_lt_lin' 'h4/thm/transc/LN_LT_X_'
0. 'coq/Coq_QArith_QOrderedType_QOrder_le_lt_trans' 'h4/thm/arithmetic/LESS_EQ_LESS_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_divide_mono_l' 'h4/thm/realax/REAL_LT_IADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_testbit_even_0'#@#variant 'h4/thm/toto/qk_numeralOrd_3'
0. 'coq/Coq_Arith_PeanoNat_Nat_eq_mul_0' 'h4/thm/rat/RAT_NO_ZERODIV_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_opp_succ' 'h4/thm/numeral/numeral_iisuc_1'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_le_trans' 'h4/thm/integer/INT_LTE_TRANS_'
0. 'coq/Coq_Reals_RIneq_Rminus_0_l' 'h4/thm/rat/RAT_SUB_LID_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_iff' 'h4/thm/DeepSyntax/deep_form_11_6'
0. 'coq/Coq_ZArith_Zpower_two_power_nat_S'#@#variant 'h4/thm/toto/num_dt_size_def_e2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_lt_mono_r_iff'#@#variant 'h4/thm/transc/RPOW_LE_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1__PI2_RLT_0'#@#variant 'h4/thm/transc/COS_2_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rgt_irrefl' 'h4/thm/extreal/lt_refl_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_glb_lt_iff' 'h4/thm/arithmetic/MIN_LT_e1'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_iff' 'h4/thm/integer/INT_DIV_CALCULATE_2'
0. 'coq/Coq_ZArith_BinInt_Z_div_pos'#@#variant 'h4/thm/real/REAL_LTE_ADD_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_of_Qc' 'h4/thm/string_num/s2n_n2s_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_lt_mono_l' 'h4/thm/arithmetic/LT_ADD_LCANCEL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_lt_mono_nonneg'#@#variant 'h4/thm/real/REAL_LT_MUL2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_move_l' 'h4/thm/rat/RAT_LSUB_EQ_'
0. 'coq/Coq_NArith_BinNat_N_add_sub' 'h4/thm/real/REAL_SUB_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_involutive' 'h4/thm/integerRing/int_calculate_12'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_total' 'h4/thm/arithmetic/LESS_LESS_CASES_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_l' 'h4/thm/arithmetic/LESS_MOD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_of_pos' 'h4/thm/realax/hreal_of_real_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_le_iff' 'h4/thm/extreal/min_le_'
0. 'coq/Coq_Bool_Bool_diff_false_true' 'h4/thm/binary_ieee/float_compare_distinct_4'
0. 'coq/Coq_ZArith_BinInt_Z_setbit_spec_prime'#@#variant 'h4/thm/integer/int_sub_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_xO'#@#variant 'h4/thm/toto/num_dt_size_def_1'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sub_succ_l' 'h4/thm/arithmetic/ADD_e1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_le' 'h4/thm/extreal/abs_bounds_'
0. 'coq/Coq_NArith_BinNat_N_div2_spec'#@#variant 'h4/thm/arithmetic/DIV2_def_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div2_neg' 'h4/thm/real/REAL_POS_LE_ZERO_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_OT_le_lteq' 'h4/thm/arithmetic/LESS_OR_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_square_spec' 'h4/thm/arithmetic/TIMES2_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_glb' 'h4/thm/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div_pos'#@#variant 'h4/thm/util_prob/REAL_LE_LT_MUL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lcm_1_l' 'h4/thm/HolSmt/r221_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_pos_nonneg'#@#variant 'h4/thm/extreal/let_mul_'#@#variant
0. 'coq/Coq_QArith_Qminmax_Q_le_max_l' 'h4/thm/arithmetic/LESS_EQ_ADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_succ_le_mono' 'h4/thm/integerRing/int_rewrites_tRRRRRRLRRRR'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_diag' 'h4/thm/extreal/min_refl_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_sub_lt_add_r' 'h4/thm/rat/RAT_RSUB_LES_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ldiff_land' 'h4/thm/integer/int_sub_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_0_r' 'h4/thm/arithmetic/LE_0'
0. 'coq/Coq_Reals_RIneq_Ropp_mult_distr_l_reverse' 'h4/thm/frac/FRAC_AINV_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_clearbit_spec_prime'#@#variant 'h4/thm/extreal/extreal_div_def_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_odd' 'h4/thm/ieee/Sign_'#@#variant
0. 'coq/Coq_Lists_List_app_assoc' 'h4/thm/llist/LAPPEND_ASSOC_'
0. 'coq/Coq_Sets_Powerset_facts_Empty_set_zero' 'h4/thm/sptree/union_LN_e1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_le_trans' 'h4/thm/real/REAL_LTE_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_sub_le_add_r' 'h4/thm/rat/RAT_RSUB_LES_'
0. 'coq/Coq_ZArith_BinInt_Z_nlt_ge' 'h4/thm/arithmetic/NOT_LESS_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_add_r' 'h4/thm/real/REAL_LE_MAX1_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_nlt' 'h4/thm/integer/int_le_'
0. 'coq/Coq_PArith_BinPos_Pos_add_diag' 'h4/thm/numeral/iDUB_'
0. 'coq/Coq_ZArith_BinInt_Z_lnot_lxor_l' 'h4/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_power_norm' 'h4/thm/real/POW_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_sub_swap' 'h4/thm/int_arith/move_sub_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_nlt_ge' 'h4/thm/HolSmt/r115_'
0. 'coq/Coq_ZArith_Zlogarithm_log_sup_correct1'#@#variant 'h4/thm/complex/MODU_POS_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_0_l' 'h4/thm/rat/RAT_SUB_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_lteq' 'h4/thm/rat/rat_leq_def_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_0_iff' 'h4/thm/numpair/tri_eq_0_0'
0. 'coq/Coq_Reals_ArithProp_le_double'#@#variant 'h4/thm/arithmetic/LESS_MONO_REV_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mod_1_r'#@#variant 'h4/thm/numeral/numeral_distrib_11'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_succ_diag_r' 'h4/thm/prim_rec/LESS_SUC_SUC_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftl_1_l'#@#variant 'h4/thm/rat/RAT_SUB_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_refl' 'h4/thm/integer/INT_LE_REFL_'
0. 'coq/Coq_QArith_QOrderedType_QOrder_lt_le_trans' 'h4/thm/real/REAL_LTE_TRANS_'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_pred' 'h4/thm/toto/num_dt_size_def_1'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_opp_lt_mono' 'h4/thm/real/REAL_LE_NEG2_'
0. 'coq/Coq_PArith_BinPos_Pos_lt_nle' 'h4/thm/integer/INT_NOT_LE_'
0. 'coq/Coq_Arith_Plus_le_plus_l' 'h4/thm/realax/HREAL_LT_ADDL_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_is_pos'#@#variant 'h4/thm/float/twogz_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_le_mono' 'h4/thm/prim_rec/LESS_MONO_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_ngt' 'h4/thm/real/real_lte_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_le_compat_r' 'h4/thm/integer/TINT_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_ZArith_Zquot_Zrem_opp_l' 'h4/thm/extreal/mul_lneg_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lor_nonneg'#@#variant 'h4/thm/arithmetic/ZERO_LESS_MULT_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_succ_r_prime' 'h4/thm/arithmetic/MULT_CLAUSES_e5'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_quot_mul' 'h4/thm/real/REAL_DIV_RMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lcm_1_l'#@#variant 'h4/thm/util_prob/lg_def_'#@#variant
0. 'coq/Coq_ZArith_Znumtheory_rel_prime_div' 'h4/thm/integer/INT_LET_TRANS_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_simpl_l' 'h4/thm/integer/INT_ADD_SUB_'
0. 'coq/Coq_ZArith_Zdiv_Zdiv_le_lower_bound'#@#variant 'h4/thm/real/REAL_LE_RDIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_wf_0' 'h4/thm/prim_rec/WF_LESS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_sub_lt_add_r' 'h4/thm/extreal/le_sub_imp_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_antisymm' 'h4/thm/divides/DIVIDES_ANTISYM_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_eq_cases' 'h4/thm/extreal/le_lt_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lor_eq_0_iff' 'h4/thm/gcd/GCD_EQ_0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_0_r'#@#variant 'h4/thm/arithmetic/EXP_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_mul_r' 'h4/thm/arithmetic/DIV_DIV_DIV_MULT_'
0. 'coq/Coq_ZArith_BinInt_Z_lcm_eq_0' 'h4/thm/extreal/entire_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_le_trans' 'h4/thm/arithmetic/LESS_LESS_EQ_TRANS_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_succ_lt_mono' 'h4/thm/numeral/numeral_lte_e6'
0. 'coq/Coq_QArith_QOrderedType_QOrder_eq_refl' 'h4/thm/real/REAL_LE_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_pred_succ' 'h4/thm/numpair/invtri_linverse_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_inj_wd' 'h4/thm/complex/CONJ_EQ2_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_max_le_compat_l' 'h4/thm/realax/TREAL_LT_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_div2_double'#@#variant 'h4/thm/transc/ATN_TAN_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_le_mono' 'h4/thm/real/REAL_POS_MONO_'
0. 'coq/Coq_PArith_Pnat_Nat2Pos_inj_sub' 'h4/thm/integer/INT_MOD_CALCULATE_0'
0. 'coq/Coq_Reals_RIneq_Req_le' 'h4/thm/integer/INT_EQ_IMP_LE_'
0. 'coq/Coq_Reals_RIneq_Rlt_le' 'h4/thm/arithmetic/LESS_IMP_LESS_OR_EQ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_eq_mul_m1'#@#variant 'h4/thm/arithmetic/DIV2_def_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_sub_triangle' 'h4/thm/real/REAL_SUB_ABS_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_odd' 'h4/thm/rat/rat_sgn_def_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_simpl_l' 'h4/thm/float/ADD_SUB2_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_1_r' 'h4/thm/extreal/sub_rzero_'
0. 'coq/Coq_ZArith_Znat_N_nat_Z' 'h4/thm/ieee/Fraction_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mod_0_l' 'h4/thm/integer/INT_REM0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_ngt' 'h4/thm/arithmetic/NOT_LESS_EQUAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_lt_mono_pos_l'#@#variant 'h4/thm/transc/RPOW_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_succ_l' 'h4/thm/arithmetic/ADD_CLAUSES_2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_le_iff' 'h4/thm/extreal/le_max_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ldiff_land' 'h4/thm/HolSmt/r224_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lcm_eq_0' 'h4/thm/real/REAL_ENTIRE_'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_gt' 'h4/thm/integer/int_lt_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_pred_inj_wd' 'h4/thm/string/EXPLODE_11_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_r' 'h4/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mod_0_l' 'h4/thm/integer/INT_QUOT_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_testbit_even_0'#@#variant 'h4/thm/quote/index_compare_def_3'
0. 'coq/Coq_ZArith_Zpower_two_power_pos_nat' 'h4/thm/ieee/Exponent_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_pred_l' 'h4/thm/arithmetic/PRE_SUB_'
0. 'coq/Coq_ZArith_BinInt_Z_add_succ_r' 'h4/thm/complex/COMPLEX_MUL_RNEG_'#@#variant
0. 'coq/Coq_Bool_Bool_diff_true_false' 'h4/thm/ieee/ccode_distinct_2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_move_0_r' 'h4/thm/rat/RAT_EQ_SUB0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_lt_mono_l' 'h4/thm/hreal/HRAT_LT_LMUL_'
0. 'coq/Coq_NArith_BinNat_N_pow_le_mono_r_iff'#@#variant 'h4/thm/arithmetic/EXP_BASE_LT_MONO_'#@#variant
0. 'coq/Coq_FSets_FSetPositive_PositiveSet_eq_refl' 'h4/thm/real/REAL_LE_REFL_'
0. 'coq/Coq_Arith_Gt_plus_gt_compat_l' 'h4/thm/real/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_ge_le_iff' 'h4/thm/integer/INT_GE_CALCULATE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_setbit_spec_prime'#@#variant 'h4/thm/complex/complex_sub_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_le_lin'#@#variant 'h4/thm/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_of_N' 'h4/thm/hrat/hrat_sucint_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_negb_even' 'h4/thm/integerRing/int_ring_thms_e17'#@#variant
0. 'coq/Coq_Arith_Gt_plus_gt_compat_l' 'h4/thm/real/REAL_LT_IADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_le_compat_l' 'h4/thm/realax/TREAL_LT_ADD_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_PI_neq0' 'h4/thm/ieee/ccode_distinct_1'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_divide_add_cancel_l' 'h4/thm/poly/POLY_DIVIDES_SUB2_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zle_succ_le' 'h4/thm/prim_rec/SUC_LESS_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_glb_lt_iff' 'h4/thm/extreal/le_min_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_compare_xI_xI' 'h4/thm/quote/index_compare_def_7'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftr_div_pow2'#@#variant 'h4/thm/HolSmt/r224_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lnot_lxor_l' 'h4/thm/complex/COMPLEX_NEG_LMUL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_0_iff' 'h4/thm/extreal/neg_eq0_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_gt' 'h4/thm/integer/INT_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_0_l' 'h4/thm/numeral/numeral_texp_help_0'
0. 'coq/Coq_NArith_BinNat_N_sqrt_1' 'h4/thm/transc/SIN_0_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_factor_r' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_1'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_of_Qc' 'h4/thm/string_num/n2s_s2n_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pos_pred_succ' 'h4/thm/ASCIInumbers/toNum_toString_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_iff' 'h4/thm/string_num/s2n_11_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_ldiff_diag' 'h4/thm/rat/RAT_SUB_ID_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_le_mono_pos_l'#@#variant 'h4/thm/integer/INT_LT_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_succ_not_1' 'h4/thm/intto/BIT1_nz_'
0. 'coq/Coq_Arith_Plus_lt_plus_trans' 'h4/thm/integer/INT_DIVIDES_LMUL_'
0. 'coq/Coq_Reals_Rpower_exp_le_3'#@#variant 'h4/thm/transc/COS_2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_involutive' 'h4/thm/complex/COMPLEX_NEGNEG_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_gcd_greatest' 'h4/thm/divides/DIVIDES_SUB_'
0. 'coq/Coq_NArith_BinNat_N_lxor_nilpotent' 'h4/thm/integer/INT_SUB_REFL_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_le_mono_r_iff'#@#variant 'h4/thm/integer/INT_LT_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_lt_mono_r' 'h4/thm/extreal/le_lmul_imp_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_clearbit_spec_prime'#@#variant 'h4/thm/complex/COMPLEX_SUB_RNEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_simpl_l' 'h4/thm/float/ADD_SUB2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_pred_l' 'h4/thm/numpair/invtri_le_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_0_r'#@#variant 'h4/thm/integer/INT_MOD_1_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_sub_lt_add_r' 'h4/thm/integer/INT_LT_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_lub_lt_iff' 'h4/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_NArith_BinNat_N_add_lt_mono_r' 'h4/thm/arithmetic/LT_ADD_RCANCEL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_le_mono_l' 'h4/thm/integer/TINT_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_pos_pos' 'h4/thm/realax/REAL_LT_MUL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_lt_mono' 'h4/thm/numeral/numeral_distrib_28'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_lor' 'h4/thm/complex/COMPLEX_EXP_SUB_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_opp_diag_l' 'h4/thm/bit/SUC_SUB_'#@#variant
0. 'coq/Coq_fourier_Fourier_util_Rle_zero_pos_plus1'#@#variant 'h4/thm/real/REAL_INV_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_clearbit_spec_prime'#@#variant 'h4/thm/integer/INT_SUB_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_null'#@#variant 'h4/thm/intExtension/INT_SGN_CLAUSES_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_le_mono_l' 'h4/thm/real/REAL_LE_LADD_'
0. 'coq/Coq_QArith_Qcanon_Qclt_le_weak' 'h4/thm/arithmetic/LESS_IMP_LESS_OR_EQ_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_lt_mono_pos_l'#@#variant 'h4/thm/integer/INT_LE_MONO_'#@#variant
0. 'coq/Coq_QArith_QOrderedType_QOrder_lt_eq' 'h4/thm/real/REAL_LTE_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pred_succ' 'h4/thm/transc/ATN_TAN_'
0. 'coq/Coq_NArith_BinNat_N_mod_1_l'#@#variant 'h4/thm/arithmetic/ZERO_DIV_'#@#variant
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_double'#@#variant 'h4/thm/extreal/extreal_abs_def_0'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_eq_le_incl' 'h4/thm/rat/RAT_LES_IMP_LEQ_'
0. 'coq/Coq_NArith_BinNat_N_le_sub_le_add_r' 'h4/thm/real/REAL_LE_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_le_compat_r' 'h4/thm/arithmetic/LESS_MONO_MULT_'
0. 'coq/Coq_Reals_Raxioms_Rplus_lt_compat_l' 'h4/thm/integer/INT_LT_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_double_inj' 'h4/thm/divides/PRIMES_11_'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_pos'#@#variant 'h4/thm/transc/EXP_LT_1_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_opp_pred' 'h4/thm/numeral/iDUB_removal_0'
0. 'coq/Coq_ZArith_Zlogarithm_Zlog2_up_log_sup' 'h4/thm/frac/frac_sgn_def_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_min_l' 'h4/thm/real/REAL_MIN_LE1_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_le_mono_r' 'h4/thm/integer/INT_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_land_diag' 'h4/thm/arithmetic/MAX_IDEM_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_land_nonneg' 'h4/thm/arithmetic/ZERO_LESS_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_total' 'h4/thm/hreal/HRAT_LT_TOTAL_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_1' 'h4/thm/real/ABS_0_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_add_lt_sub_r' 'h4/thm/integer/INT_LT_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_inj_wd' 'h4/thm/integral/EQ_SUC_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_le_mono_r_iff'#@#variant 'h4/thm/integer/INT_LT_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_pos_l'#@#variant 'h4/thm/transc/RPOW_POS_LT_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_divide_xO_xO' 'h4/thm/integerRing/int_rewrites_tLRRRRLRRR'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_0_r'#@#variant 'h4/thm/util_prob/logr_1_'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_ge' 'h4/thm/integer/int_lt_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_pred_r' 'h4/thm/rat/RAT_AINV_RMUL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_1' 'h4/thm/transc/SQRT_0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_succ' 'h4/thm/transc/LN_EXP_'
0. 'coq/Coq_ZArith_Zlogarithm_log_near_correct1'#@#variant 'h4/thm/extreal/lt_infty_0'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_succ_inj_wd' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Reals_RIneq_Rlt_not_le' 'h4/thm/real/REAL_LTE_ANTSYM_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_glb' 'h4/thm/divides/DIVIDES_ADD_1_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_le_mono' 'h4/thm/integer/TINT_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lor_0_l' 'h4/thm/integer/TINT_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lor_diag' 'h4/thm/extreal/min_refl_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_0_sub'#@#variant 'h4/thm/arithmetic/SUB_LESS_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_quot_same'#@#variant 'h4/thm/integer/INT_DIV_ID_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_nlt_ge' 'h4/thm/HolSmt/r096_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_pred_double_succ' 'h4/thm/numRing/num_rewrites_tLRLRR'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_double_mul' 'h4/thm/real/REAL_MUL_LNEG_'
0. 'coq/Coq_NArith_BinNat_N_lor_eq_0_l' 'h4/thm/transc/RPOW_NZ_'#@#variant
0. 'coq/Coq_QArith_Qcanon_Q_apart_0_1'#@#variant 'h4/thm/binary_ieee/float_compare_distinct_0'
0. 'coq/Coq_Reals_Rminmax_Rmin_l' 'h4/thm/arithmetic/LESS_MOD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_opp' 'h4/thm/transc/TAN_NEG_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_pred_of_succ_nat' 'h4/thm/numRing/num_ring_thms_e17'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_le_trans' 'h4/thm/real/REAL_LTE_TRANS_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_succ_l' 'h4/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_succ_r' 'h4/thm/extreal/mul_rneg_'
0. 'coq/Coq_PArith_BinPos_Pos_le_antisym' 'h4/thm/divides/DIVIDES_ANTISYM_'
0. 'coq/Coq_ZArith_BinInt_Z_shiftl_opp_r' 'h4/thm/real/real_div_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_ldiff_diag' 'h4/thm/arithmetic/ABS_DIFF_EQS_'
0. 'coq/Coq_NArith_BinNat_N_shiftl_1_l'#@#variant 'h4/thm/integer/INT_SUB_REDUCE_1'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_Zpos' 'h4/thm/string/char_lt_def_'
0. 'coq/Coq_Reals_RIneq_Rplus_ge_compat_r' 'h4/thm/arithmetic/LESS_MONO_ADD_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_ge' 'h4/thm/integer/INT_LE_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_wf_0'#@#variant 'h4/thm/prim_rec/WF_LESS_'#@#variant
0. 'coq/Coq_Reals_Exp_prop_div2_double'#@#variant 'h4/thm/prim_rec/PRE_e1'
0. 'coq/Coq_QArith_Qcanon_Q_apart_0_1'#@#variant 'h4/thm/toto/all_cpn_distinct_1'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_lt_mono_r' 'h4/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_QArith_QArith_base_Zlt_Qlt' 'h4/thm/real/REAL_OF_NUM_LE_'
0. 'coq/__constr_Coq_Init_Peano_le_0_1' 'h4/thm/real/REAL_LE_REFL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_succ_l' 'h4/thm/complex/COMPLEX_NEG_LMUL_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_min_le_compat_l' 'h4/thm/integer/TINT_LT_ADD_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_w5_spec' 'h4/thm/numRing/num_semi_ring_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_id' 'h4/thm/arithmetic/MAX_IDEM_'
0. 'coq/Coq_ZArith_BinInt_Z_gcd_0_l' 'h4/thm/integer/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lnot_0_l' 'h4/thm/extreal/sub_lzero_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_lt_mono_pos_l'#@#variant 'h4/thm/integer/INT_LE_MONO_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rle_or_lt' 'h4/thm/real/REAL_LET_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_inj' 'h4/thm/num/INV_SUC_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_setbit_spec_prime'#@#variant 'h4/thm/HolSmt/r224_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_negb_even' 'h4/thm/numRing/num_ring_thms_e17'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zsucc_le_compat' 'h4/thm/transc/EXP_MONO_IMP_'
0. 'coq/Coq_NArith_BinNat_N_succ_lt_mono' 'h4/thm/numeral/numeral_lte_e6'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_id' 'h4/thm/extreal/min_refl_'
0. 'coq/Coq_ZArith_BinInt_Z_lor_diag' 'h4/thm/extreal/min_refl_'
0. 'coq/Coq_ZArith_Zpower_two_power_nat_S'#@#variant 'h4/thm/extreal/extreal_ainv_def_e2'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_of_Z' 'h4/thm/ASCIInumbers/toString_toNum_cancel_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_setbit_spec_prime'#@#variant 'h4/thm/real/REAL_SUB_RNEG_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_le_mono' 'h4/thm/arithmetic/LESS_EQ_MONO_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_succ_l' 'h4/thm/complex/COMPLEX_NEG_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_eq'#@#variant 'h4/thm/intExtension/INT_ABS_CALCULATE_POS_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_leb_le' 'h4/thm/quote/index_lt_def_'
0. 'coq/Coq_QArith_QArith_base_Qinv_mult_distr' 'h4/thm/real/REAL_ABS_TRIANGLE_'
0. 'coq/Coq_Reals_RIneq_Rle_0_sqr' 'h4/thm/prim_rec/LESS_0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_lt_mono' 'h4/thm/numeral/numeral_lte_3'
0. 'coq/Coq_PArith_BinPos_Pos_add_succ_r' 'h4/thm/complex/COMPLEX_NEG_RMUL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mod_0_l' 'h4/thm/integer/INT_QUOT_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_sub_diag_r' 'h4/thm/gcd/GCD_ADD_R_THM_e1'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_pos_cancel_r'#@#variant 'h4/thm/real/REAL_LT_RMUL_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_succ_le_mono' 'h4/thm/numeral/numeral_lt_3'
0. 'coq/Coq_ZArith_BinInt_Z_add_opp_r' 'h4/thm/rat/RAT_SUB_ADDAINV_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_1_l'#@#variant 'h4/thm/HolSmt/r221_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_opp_r' 'h4/thm/complex/COMPLEX_SUB_RNEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_lub_lt_iff' 'h4/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_iff' 'h4/thm/integer/INT_REM_CALCULATE_3'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_nge' 'h4/thm/arithmetic/NOT_LESS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_double_spec'#@#variant 'h4/thm/integer/INT_NEG_MINUS1_'#@#variant
0. 'coq/Coq_Reals_Rpower_exp_inv' 'h4/thm/num/INV_SUC_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_succ_l' 'h4/thm/integer/INT_NEG_LMUL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_le_iff' 'h4/thm/extreal/min_le_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_le_lin'#@#variant 'h4/thm/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Sets_Uniset_union_comm' 'h4/thm/sorting/PERM_APPEND_'
0. 'coq/Coq_ZArith_BinInt_Z_lnot_lxor_l' 'h4/thm/frac/FRAC_AINV_LMUL_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_neg_is_neg' 'h4/thm/extreal/lt_infty_1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_succ_l' 'h4/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_mod' 'h4/thm/integer/INT_MOD_SUB_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_testbit' 'h4/thm/toto/charOrd_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pred_succ' 'h4/thm/string/EXPLODE_IMPLODE_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Zpos_eq_iff' 'h4/thm/prelim/ordering2num_11_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_le_compat_l' 'h4/thm/extreal/le_ladd_imp_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pos_pred_spec' 'h4/thm/ratRing/rat_ring_thms_e17'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_le_mono' 'h4/thm/numpair/tri_LT_I_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_le_max_r' 'h4/thm/real/REAL_LE_MAX2_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftl_mul_pow2'#@#variant 'h4/thm/integer/INT_SUB_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_eq_cases' 'h4/thm/integer/INT_LE_CALCULATE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div2_div'#@#variant 'h4/thm/arithmetic/ADD1_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_nlt_ge' 'h4/thm/rat/RAT_LEQ_LES_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_opp_opp' 'h4/thm/integer/INT_NEG_MUL2_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_1_r' 'h4/thm/HolSmt/r223_'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_lt_mono_r_iff'#@#variant 'h4/thm/integer/INT_LE_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_add_le' 'h4/thm/real/ABS_TRIANGLE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_divide/1' 'h4/thm/extreal/min_le2_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_nge' 'h4/thm/integer/INT_NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_inj_wd' 'h4/thm/numeral/numeral_eq_6'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_le_mono_r_iff'#@#variant 'h4/thm/rat/RAT_LES_LMUL_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_lteq' 'h4/thm/arithmetic/GREATER_OR_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_inj_wd' 'h4/thm/DeepSyntax/deep_form_11_2'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_le_mono_r'#@#variant 'h4/thm/arithmetic/EXP_BASE_LEQ_MONO_IMP_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_glb' 'h4/thm/divides/DIVIDES_ADD_1_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_sub_le_add_r' 'h4/thm/integer/INT_LT_SUB_LADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_nlt_1_r' 'h4/thm/prim_rec/NOT_LESS_0_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_add_lt_sub_r' 'h4/thm/integer/INT_LT_SUB_LADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_succ_r' 'h4/thm/real/REAL_MUL_RNEG_'
0. 'coq/Coq_PArith_BinPos_Pos_add_cancel_l' 'h4/thm/realax/HREAL_EQ_LADD_'
0. 'coq/Coq_Lists_List_app_nil_l' 'h4/thm/llist/LAPPEND_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_sub_r' 'h4/thm/divides/DIVIDES_SUB_'
0. 'coq/Coq_Init_Peano_plus_Sn_m' 'h4/thm/complex/COMPLEX_MUL_LNEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_0_r' 'h4/thm/integer/INT_DIVIDES_0_0'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_0_r'#@#variant 'h4/thm/numeral/numeral_exp_0'#@#variant
0. 'coq/Coq_ZArith_Zquot_Zrem_opp_l' 'h4/thm/complex/COMPLEX_NEG_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_nlt_ge' 'h4/thm/real/real_lte_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_min_r' 'h4/thm/real/REAL_MIN_LE2_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_sub_le' 'h4/thm/arithmetic/LESS_DIV_EQ_ZERO_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_1_succ' 'h4/thm/transc/ATN_0'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_le_mono' 'h4/thm/bit/TWOEXP_MONO2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_glb_lt_iff' 'h4/thm/arithmetic/MIN_LE_e1'
0. 'coq/Coq_ZArith_BinInt_Z_lnot_lxor_r' 'h4/thm/complex/COMPLEX_NEG_RMUL_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_le_lt_mono' 'h4/thm/real/REAL_LET_ADD2_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_gt_lt_iff' 'h4/thm/HolSmt/r103_'
0. 'coq/Coq_ZArith_Zorder_Zplus_le_compat_r' 'h4/thm/hrat/TRAT_ADD_WELLDEFINED_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_min_le_compat_l' 'h4/thm/real/REAL_LT_IADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_cancel_l' 'h4/thm/rat/RAT_EQ_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_le_mono_l' 'h4/thm/integer/INT_LE_LADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_1_l'#@#variant 'h4/thm/numeral/numeral_texp_help_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_pred_r' 'h4/thm/integer/INT_NEG_RMUL_'
0. 'coq/Coq_QArith_Qround_Qfloor_Z' 'h4/thm/prelim/ordering_BIJ_0'
0. 'coq/Coq_ZArith_BinInt_Z_add_succ_r' 'h4/thm/rat/RAT_AINV_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_neq' 'h4/thm/real/REAL_LT_IMP_NE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_lt_mono_pos_l'#@#variant 'h4/thm/integer/INT_LT_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_even_1' 'h4/thm/ieee/Plus_infinity_'#@#variant
0. 'coq/Coq_Bool_Bool_negb_xorb_r' 'h4/thm/complex/COMPLEX_MUL_RNEG_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_mod' 'h4/thm/integer/INT_MOD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_le_mono_l' 'h4/thm/hreal/HRAT_LT_LMUL_'
0. 'coq/Coq_ZArith_BinInt_Z_pow_lt_mono'#@#variant 'h4/thm/real/REAL_LT_MUL2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_le_mono_nonneg'#@#variant 'h4/thm/real/REAL_LE_MUL2_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_min_le_compat_r' 'h4/thm/arithmetic/LESS_MONO_MULT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_pos_le' 'h4/thm/divides/DIVIDES_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_involutive' 'h4/thm/integer/INT_DIV_CALCULATE_e4'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_1' 'h4/thm/integerRing/int_calculate_e13'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_opp_diag_l' 'h4/thm/bit/SUC_SUB_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_le_mono_r_iff'#@#variant 'h4/thm/real/REAL_LT_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lnot_0_l' 'h4/thm/HolSmt/r129_'#@#variant
0. 'coq/Coq_Reals_SeqProp_UL_sequence' 'h4/thm/seq/SEQ_UNIQ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_pos_l'#@#variant 'h4/thm/arithmetic/EXP_BASE_LE_MONO_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lxor_nilpotent' 'h4/thm/integer/INT_SUB_REFL_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_Odd_succ' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRL'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_le_iff' 'h4/thm/real/REAL_LE_MAX_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_succ_r' 'h4/thm/extreal/mul_rneg_'
0. 'coq/Coq_Reals_RIneq_Rgt_asym' 'h4/thm/real/REAL_LT_ANTISYM_'
0. 'coq/Coq_QArith_QArith_base_Qplus_inj_r' 'h4/thm/integer/INT_LE_RADD_'
0. 'coq/Coq_NArith_BinNat_N_add_cancel_r' 'h4/thm/arithmetic/EQ_MONO_ADD_EQ_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sub_add_distr' 'h4/thm/frac/FRAC_SUB_ADD_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_le_mono' 'h4/thm/numpair/tri_LT_I_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_le_mono_r' 'h4/thm/integer/INT_LT_RADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_nonneg_nonpos'#@#variant 'h4/thm/extreal/mul_le_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_1_l' 'h4/thm/extreal/sub_lzero_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_inv_normc' 'h4/thm/complex/COMPLEX_OF_REAL_NEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_succ_not_1' 'h4/thm/toto/num_dt_distinct_1'
0. 'coq/Coq_NArith_Ndist_ni_min_idemp' 'h4/thm/extreal/max_refl_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_add_le' 'h4/thm/real/REAL_ABS_TRIANGLE_'
0. 'coq/Coq_QArith_Qreduction_Qred_compare' 'h4/thm/quote/index_compare_def_5'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_gt_cases' 'h4/thm/arithmetic/LESS_CASES_'
0. 'coq/Coq_Classes_SetoidClass_setoid_equiv' 'h4/thm/llist/LFINITE_fromList_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_le_compat_r' 'h4/thm/arithmetic/LESS_MONO_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_divide_mono_r' 'h4/thm/hrat/TRAT_ADD_WELLDEFINED_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qmult_lt_compat_r'#@#variant 'h4/thm/integral/REAL_LE_RMUL1_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_nonneg_nonneg' 'h4/thm/integer/TINT_LT_MUL_'#@#variant
0. 'coq/Coq_ZArith_Zlogarithm_log_inf_correct/0'#@#variant 'h4/thm/real/POW_2_LE1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_refl' 'h4/thm/realax/TREAL_EQ_REFL_'#@#variant
0. 'coq/Coq_Arith_Plus_plus_le_compat_r' 'h4/thm/hrat/TRAT_ADD_WELLDEFINED_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_refl' 'h4/thm/integer/TINT_EQ_REFL_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_compare_lt_iff' 'h4/thm/quote/index_lt_def_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_is_pos'#@#variant 'h4/thm/frac/FRAC_DNMPOS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_le_compat_r' 'h4/thm/hrat/TRAT_ADD_WELLDEFINED_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_mod' 'h4/thm/integer/INT_MOD_PLUS_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pplus_one_succ_l' 'h4/thm/util_prob/lg_def_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_red' 'h4/thm/complex/COMPLEX_OF_REAL_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_pos'#@#variant 'h4/thm/real/REAL_LE_INV_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_le_mono_r' 'h4/thm/integer/INT_LT_RADD_'
0. 'coq/Coq_Reals_Rtrigo1_tan_neg' 'h4/thm/float/REAL_ABS_INV_'
0. 'coq/Coq_Init_Peano_plus_n_Sm' 'h4/thm/frac/FRAC_AINV_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_le_incl' 'h4/thm/rat/RAT_LES_IMP_LEQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_lt_mono_neg_l' 'h4/thm/rat/RAT_LES_LMUL_NEG_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_gt' 'h4/thm/real/le_int_0'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_nonneg_nonneg' 'h4/thm/integer/TINT_LT_MUL_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pos_pred_succ' 'h4/thm/frac/frac_tybij_0'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_1' 'h4/thm/transc/SQRT_0_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_cancel_l' 'h4/thm/rat/RAT_EQ_LADD_'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_iff' 'h4/thm/complex/COMPLEX_OF_NUM_EQ_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_ge_le_iff' 'h4/thm/rat/rat_geq_def_'
0. 'coq/Coq_PArith_BinPos_Pos_min_le_compat_l' 'h4/thm/integer/TINT_LT_ADD_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_le_max_r' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_1'
0. 'coq/Coq_Reals_RIneq_pos_INR'#@#variant 'h4/thm/binary_ieee/zero_lt_twopow_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_mod' 'h4/thm/integer/INT_MOD_SUB_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_pred_double_spec' 'h4/thm/numRing/num_rewrites_tLRLRR'
0. 'coq/Coq_ZArith_BinInt_Z_eq_mul_0_r' 'h4/thm/extreal/add_not_infty_e1'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_le_mono' 'h4/thm/real/REAL_POS_MONO_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_irrefl' 'h4/thm/integer/INT_LT_REFL_'
0. 'coq/Coq_Init_Peano_le_0_n' 'h4/thm/integral/LE_0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_eq_mul_0' 'h4/thm/integer/INT_ENTIRE_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_le_mono' 'h4/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_lxor_r' 'h4/thm/arithmetic/ADD_SUC_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_id' 'h4/thm/ieee/num2ccode_ccode2num_'
0. 'coq/Coq_ZArith_BinInt_Z_opp_pred' 'h4/thm/numRing/num_rewrites_tLRLRRR'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_pos'#@#variant 'h4/thm/transc/EXP_LT_1_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_div2' 'h4/thm/extreal/extreal_exp_def_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_succ_l' 'h4/thm/integer/INT_MUL_CALCULATE_1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_nlt_ge' 'h4/thm/HolSmt/r115_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_involutive' 'h4/thm/integer/INT_ADD_REDUCE_3'
0. 'coq/Coq_Reals_Rtrigo1_PI_neq0' 'h4/thm/realax/REAL_10_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_opp_r' 'h4/thm/complex/COMPLEX_SUB_RNEG_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_divide_factor_r' 'h4/thm/real/REAL_LE_MAX2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_opp_r' 'h4/thm/HolSmt/r224_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_nonneg_nonneg' 'h4/thm/arithmetic/LESS_MULT2_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_r' 'h4/thm/extreal/le_radd_imp_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_eq_1'#@#variant 'h4/thm/arithmetic/MULT_EQ_1_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_le_mono_r' 'h4/thm/arithmetic/LE_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_pos_l'#@#variant 'h4/thm/arithmetic/EXP_BASE_LT_MONO_'#@#variant
0. 'coq/Coq_Reals_Raxioms_R1_neq_R0' 'h4/thm/binary_ieee/rounding_distinct_3'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_total' 'h4/thm/hreal/HREAL_LT_TOTAL_'
0. 'coq/Coq_Reals_R_sqrt_sqrt_pos' 'h4/thm/transc/ATN_0'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_gt' 'h4/thm/integer/INT_LT_CALCULATE_0'
0. 'coq/Coq_ZArith_BinInt_Z_opp_nonpos_nonneg'#@#variant 'h4/thm/real/REAL_NEG_LT0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lxor_nilpotent' 'h4/thm/arithmetic/SUB_EQUAL_0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_factor_l' 'h4/thm/realax/HREAL_LT_ADDL_'
0. 'coq/Coq_NArith_BinNat_N_succ_0_discr' 'h4/thm/bit/TWOEXP_NOT_ZERO_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div2_double' 'h4/thm/numeral/DIV2_BIT1_'
0. 'coq/Coq_NArith_BinNat_N_odd_1' 'h4/thm/ieee/Plus_infinity_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_even_1' 'h4/thm/ieee/Minus_infinity_'#@#variant
0. 'coq/Coq_Reals_RIneq_cond_nonzero' 'h4/thm/extreal/extreal_not_infty_e1'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_divide_lcm_r' 'h4/thm/extreal/le_max2_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_pred_l' 'h4/thm/arithmetic/ADD_CLAUSES_2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_le_compat_l' 'h4/thm/integer/INT_LT_LADD_IMP_'
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_pos_r' 'h4/thm/logroot/EXP_LE_ISO_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_even_sub' 'h4/thm/integer/INT_SUB_'
0. 'coq/Coq_ZArith_Zdiv_mod_Zmod' 'h4/thm/integer/INT_DIV_CALCULATE_0'
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_r' 'h4/thm/extreal/le_radd_imp_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_inj_wd' 'h4/thm/numRing/num_rewrites_tLRRRRRRLR'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ones_equiv'#@#variant 'h4/thm/numeral/numeral_suc_1'
0. 'coq/Coq_ZArith_BinInt_Z_lnot_lxor_r' 'h4/thm/extreal/mul_rneg_'
0. 'coq/Coq_QArith_Qcanon_Q_apart_0_1'#@#variant 'h4/thm/toto/cpn_distinct_1'
0. 'coq/Coq_QArith_Qcanon_Qcle_refl' 'h4/thm/integer/TINT_EQ_REFL_'#@#variant
0. 'coq/Coq_NArith_Nnat_Nat2N_id' 'h4/thm/string/CHR_ORD_'
0. 'coq/Coq_QArith_QArith_base_Qplus_0_l'#@#variant 'h4/thm/hrat/TRAT_MUL_LID_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_1_l'#@#variant 'h4/thm/divides/ONE_DIVIDES_ALL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_le_mono_r' 'h4/thm/hreal/HRAT_LT_RMUL_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_l2i_i2l'#@#variant 'h4/thm/string/char_BIJ_0'
0. 'coq/Coq_Numbers_Cyclic_DoubleCyclic_DoubleBase_wwB_wBwB'#@#variant 'h4/thm/integer/tint_of_num_e1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_null'#@#variant 'h4/thm/intExtension/INT_SGN_CLAUSES_e2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_divide_mono_l' 'h4/thm/realax/TREAL_LT_ADD_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rmult_lt_compat_r'#@#variant 'h4/thm/real/REAL_LT_RMUL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_lt_mono_pos_l'#@#variant 'h4/thm/transc/RPOW_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_nle' 'h4/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_lt_mono_pos_r'#@#variant 'h4/thm/rat/RAT_LES_RMUL_POS_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_lt_mono_r' 'h4/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_succ_l' 'h4/thm/complex/COMPLEX_NEG_LDIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lxor_lnot_lnot' 'h4/thm/complex/COMPLEX_NEG_DIV2_'#@#variant
0. 'coq/Coq_ZArith_Zdiv_Zdiv_mult_cancel_r' 'h4/thm/real/REAL_DIV_RMUL_CANCEL_'#@#variant
0. 'coq/Coq_ZArith_Znumtheory_not_prime_0' 'h4/thm/divides/NOT_PRIME_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_le_mono_l' 'h4/thm/integer/INT_LE_LADD_'
0. 'coq/Coq_NArith_BinNat_N_pow_le_mono_r_iff' 'h4/thm/real/REAL_LE_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_ngt' 'h4/thm/arithmetic/NOT_LESS_EQUAL_'
0. 'coq/Coq_Reals_RIneq_Rmult_opp_opp' 'h4/thm/real/REAL_NEG_MUL2_'
0. 'coq/Coq_QArith_Qround_Qceiling_Z' 'h4/thm/string/CHR_ORD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_pred_l' 'h4/thm/numpair/nfst_le_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_opp' 'h4/thm/numeral/numeral_distrib_14'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_lt_mono_pos_l'#@#variant 'h4/thm/rat/RAT_LES_LMUL_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_succ_lt_mono' 'h4/thm/numeral/numeral_distrib_22'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lcm_1_r' 'h4/thm/real/REAL_ADD_RID_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_total' 'h4/thm/real/REAL_LT_TOTAL_'
0. 'coq/Coq_ZArith_Znat_N2Z_is_nonneg' 'h4/thm/extreal/lt_infty_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_add_r'#@#variant 'h4/thm/util_prob/logr_div_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_le_incl' 'h4/thm/real/REAL_LT_IMP_LE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_inj_wd' 'h4/thm/toto/num_dt_11_0'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lcm_divide_iff' 'h4/thm/arithmetic/MAX_LT_e1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_succ_lt_mono' 'h4/thm/numpair/tri_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pred_div2_up' 'h4/thm/quote/index_size_def_1'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_ge' 'h4/thm/real/le_int_0'
0. 'coq/Coq_ZArith_Zorder_Zplus_lt_compat_r' 'h4/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Arith_Gt_gt_asym' 'h4/thm/string/string_lt_antisym_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_double_mul' 'h4/thm/arithmetic/PRE_SUB_'
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_eq_0_l' 'h4/thm/transc/RPOW_NZ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_divide_xO_xO' 'h4/thm/numeral/numeral_distrib_22'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_le_mono_l' 'h4/thm/arithmetic/ADD_MONO_LESS_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_lcm_r' 'h4/thm/integer/INT_DIVIDES_MUL_e1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_pow' 'h4/thm/arithmetic/PRE_SUB_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_lt_m1_0' 'h4/thm/real/REAL_HALF_BETWEEN_e2'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_max_id' 'h4/thm/arithmetic/MIN_IDEM_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_of_Z' 'h4/thm/extreal/real_normal_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_lt_trans' 'h4/thm/extreal/let_trans_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_1_succ' 'h4/thm/divides/ZERO_LT_PRIMES_'
0. 'coq/Coq_Bool_Bool_diff_true_false' 'h4/thm/binary_ieee/float_compare_distinct_2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_nonneg' 'h4/thm/transc/ATN_0'#@#variant
0. 'coq/Coq_ZArith_Znat_Z2Nat_inj_pred' 'h4/thm/complex/COMPLEX_OF_REAL_NEG_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_pow_0_l_prime' 'h4/thm/integer/INT_QUOT_0_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_le_min_r' 'h4/thm/real/REAL_MIN_LE2_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_of_Qc' 'h4/thm/toto/cpn_BIJ_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_lcm_r' 'h4/thm/extreal/le_max2_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_wf_0' 'h4/thm/toto/StrongLinearOrder_LESS_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_succ_lt_mono' 'h4/thm/numpair/tri_LE_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_id' 'h4/thm/extreal/max_refl_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_2' 'h4/thm/real/REAL_THIRDS_BETWEEN_e4'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_succ_lt_mono' 'h4/thm/transc/EXP_MONO_LT_'
0. 'coq/Coq_Arith_PeanoNat_Nat_nlt_ge' 'h4/thm/rat/RAT_LES_LEQ_'
0. 'coq/Coq_QArith_Qround_Qfloor_Z' 'h4/thm/frac/frac_tybij_0'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_1' 'h4/thm/real/REAL_THIRDS_BETWEEN_e4'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_succ_inj_wd' 'h4/thm/quote/index_11_e1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lxor_m1_l'#@#variant 'h4/thm/util_prob/lg_def_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_sub_le_add_r' 'h4/thm/real/REAL_LT_SUB_RADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_pos'#@#variant 'h4/thm/numeral/numeral_distrib_32'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_ge' 'h4/thm/integer/INT_LT_CALCULATE_0'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_succ_not_1' 'h4/thm/toto/num_dt_distinct_1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_double_spec'#@#variant 'h4/thm/real/REAL_NEG_MINUS1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_le_compat_l' 'h4/thm/realax/REAL_LT_IADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_double'#@#variant 'h4/thm/util_prob/lg_inv_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_neq_0_succ' 'h4/thm/toto/num_dt_distinct_1'
0. 'coq/Coq_QArith_QArith_base_Zle_Qle' 'h4/thm/real/REAL_LE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_inj_wd' 'h4/thm/DeepSyntax/deep_form_11_2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_pos_pos' 'h4/thm/realax/REAL_LT_MUL_'
0. 'coq/Coq_Reals_Rminmax_R_OT_lt_total' 'h4/thm/hreal/HRAT_LT_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_le_mono' 'h4/thm/integerRing/int_rewrites_tLRRRLRRR'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_sqrt_2' 'h4/thm/real/REAL_HALF_BETWEEN_tRL'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sub_diag' 'h4/thm/integer/INT_SUB_REFL_'#@#variant
0. 'coq/Coq_ZArith_Znat_positive_N_Z' 'h4/thm/complex/complex_of_num_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_le_mono' 'h4/thm/divides/LT_PRIMES_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_lt_mono_r' 'h4/thm/extreal/le_lmul_imp_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_0_l' 'h4/thm/HolSmt/r129_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_le_mono_l' 'h4/thm/hreal/HRAT_LT_LADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftr_opp_r' 'h4/thm/integer/INT_SUB_RNEG_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_id' 'h4/thm/rat/RAT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_glb_lt_iff' 'h4/thm/integral/REAL_LT_MIN_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_ngt' 'h4/thm/integer/int_le_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_le_lin' 'h4/thm/numpair/nfst_le_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_assoc' 'h4/thm/hrat/TRAT_MUL_ASSOC_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_sin_gt_0'#@#variant 'h4/thm/transc/SIN_POS_PI_LE_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_nle' 'h4/thm/arithmetic/NOT_LESS_'
0. 'coq/Coq_ZArith_BinInt_Z_pow_le_mono_r' 'h4/thm/arithmetic/EXP_BASE_LEQ_MONO_IMP_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_le_compat_r' 'h4/thm/hrat/TRAT_ADD_WELLDEFINED_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_ge_cases' 'h4/thm/extreal/le_total_'
0. 'coq/Coq_ZArith_Zorder_Zlt_not_le' 'h4/thm/real/REAL_LTE_ANTSYM_'
0. 'coq/Coq_NArith_BinNat_N_mul_1_l' 'h4/thm/integer/INT_ADD_CALCULATE_0'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_one_neq_zero' 'h4/thm/realax/REAL_10_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_cancel_l' 'h4/thm/hreal/HRAT_EQ_LADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_pow_succ_r' 'h4/thm/arithmetic/MULT_CLAUSES_e5'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lor_diag' 'h4/thm/extreal/max_refl_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_1_mul_pos'#@#variant 'h4/thm/extreal/let_mul_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_le_mono_r' 'h4/thm/hreal/HRAT_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_testbit_even_0'#@#variant 'h4/thm/toto/num_dtOrd_4'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_compare' 'h4/thm/intto/pos_pos_thm_'
0. 'coq/Coq_Reals_R_sqrt_sqrt_le_1_alt' 'h4/thm/bit/TWOEXP_MONO2_'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_xO'#@#variant 'h4/thm/extreal/extreal_ainv_def_e2'
0. 'coq/Coq_Numbers_Natural_BigN_Nbasic_plusnS' 'h4/thm/integer/INT_MUL_CALCULATE_2'
0. 'coq/Coq_PArith_BinPos_Pos_min_lt_iff' 'h4/thm/extreal/min_le_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_lt_mono_r' 'h4/thm/integer/INT_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_succ_lt_mono' 'h4/thm/integerRing/int_rewrites_tRRRRRRLRRRR'
0. 'coq/Coq_ZArith_BinInt_Zpred_succ' 'h4/thm/transc/ATN_e2'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_nonneg' 'h4/thm/transc/ATN_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_involutive' 'h4/thm/complex/COMPLEX_INV_INV_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zle_0_pos'#@#variant 'h4/thm/binary_ieee/zero_le_twopow_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_divide_refl' 'h4/thm/arithmetic/LESS_EQ_REFL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_0_r' 'h4/thm/numeral/numeral_exp_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_diag' 'h4/thm/arithmetic/MAX_IDEM_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_nonneg' 'h4/thm/arithmetic/FACT_LESS_'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_iff' 'h4/thm/integer/INT_QUOT_CALCULATE_2'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_eq_cases' 'h4/thm/string/string_le_def_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_double_inj' 'h4/thm/divides/PRIMES_11_'
0. 'coq/Coq_Reals_R_sqr_Rsqr_neg' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRLRRRR'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_mul_comm' 'h4/thm/hrat/TRAT_MUL_SYM_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_cancel_l' 'h4/thm/realax/HREAL_EQ_LADD_'
0. 'coq/Coq_NArith_BinNat_N_nlt_ge' 'h4/thm/extreal/extreal_lt_def_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_lt_mono_r' 'h4/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_Reals_RList_RList_P1' 'h4/thm/extreal/pow_pos_lt_'#@#variant
0. 'coq/Coq_Numbers_BigNumPrelude_Z_div_plus_l' 'h4/thm/arithmetic/ADD_DIV_ADD_DIV_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_le_mono' 'h4/thm/numpair/tri_LT_'
0. 'coq/Coq_PArith_BinPos_Pos_mul_le_mono_r' 'h4/thm/arithmetic/LT_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_pred_r' 'h4/thm/real/REAL_MUL_RNEG_'
0. 'coq/Coq_NArith_BinNat_N_shiftl_mul_pow2'#@#variant 'h4/thm/frac/frac_div_def_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_pred_l' 'h4/thm/integer/INT_MUL_CALCULATE_1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_succ_r' 'h4/thm/extreal/mul_rneg_'
0. 'coq/Coq_omega_OmegaLemmas_Zred_factor0' 'h4/thm/real/REAL_ADD_RID_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_lt_mono' 'h4/thm/rat/RAT_LES_AINV_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div_1_r' 'h4/thm/integer/INT_SUB_REDUCE_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_lt_mono'#@#variant 'h4/thm/integer/INT_LT_MUL2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_eq_le_incl' 'h4/thm/real/REAL_EQ_IMP_LE_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_nonneg'#@#variant 'h4/thm/integer/INT_LT_MUL2_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pow_le_mono_l' 'h4/thm/hrat/TRAT_MUL_WELLDEFINED_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_0_r' 'h4/thm/extreal/le_infty_1'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_sub' 'h4/thm/integer/INT_SUB_ADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_1_succ' 'h4/thm/arithmetic/FACT_LESS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pred_div2_up' 'h4/thm/extreal/extreal_inv_def_e2'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_succ_diag_r' 'h4/thm/real/REAL_POS_INFLATE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_succ_l' 'h4/thm/arithmetic/PRE_SUB_'
0. 'coq/Coq_ZArith_Znat_Zabs2N_inj_pos' 'h4/thm/ieee/Fraction_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_pos'#@#variant 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_div_mul' 'h4/thm/real/REAL_DIV_RMUL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_nonneg' 'h4/thm/divides/ZERO_LT_PRIMES_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_mod' 'h4/thm/integer/INT_MOD_PLUS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_move_r' 'h4/thm/real/REAL_EQ_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_le_mono_l' 'h4/thm/arithmetic/LE_ADD_LCANCEL_'
0. 'coq/Coq_ZArith_BinInt_Z_max_lub_lt_iff' 'h4/thm/arithmetic/MAX_LE_e1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_nge' 'h4/thm/arithmetic/NOT_LESS_'
0. 'coq/Coq_Reals_Rminmax_R_min_le_iff' 'h4/thm/arithmetic/MIN_LE_0'
0. 'coq/Coq_ZArith_BinInt_Z_gcd_greatest' 'h4/thm/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_ZArith_Zdiv_Z_div_same_full'#@#variant 'h4/thm/integer/INT_DIV_ID_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_nle' 'h4/thm/real/REAL_NOT_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pred_succ' 'h4/thm/transc/ATN_e2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_lxor_l' 'h4/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_lxor_l' 'h4/thm/complex/COMPLEX_NEG_LDIV_'#@#variant
0. 'coq/Coq_ZArith_Zquot_Z_quot_monotone'#@#variant 'h4/thm/real/REAL_LE_RMUL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_lt_mono' 'h4/thm/integerRing/int_rewrites_tLRRRLRRR'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_pred_l' 'h4/thm/arithmetic/ADD_CLAUSES_2'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_pos_l'#@#variant 'h4/thm/rat/RAT_LES_LMUL_POS_'#@#variant
0. 'coq/Coq_Arith_Wf_nat_lt_wf' 'h4/thm/prim_rec/WF_LESS_'
0. 'coq/Coq_Bool_Bool_diff_true_false' 'h4/thm/binary_ieee/rounding_distinct_3'
0. 'coq/Coq_ZArith_BinInt_Z_mul_1_r' 'h4/thm/HolSmt/r080_'
0. 'coq/Coq_NArith_BinNat_N_pow_1_r' 'h4/thm/rat/RAT_SUB_RID_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_nonneg' 'h4/thm/transc/ATN_0'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lcm_diag' 'h4/thm/HolSmt/r216_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_glb_lt_iff' 'h4/thm/integral/REAL_LT_MIN_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_inj_wd' 'h4/thm/DeepSyntax/deep_form_11_2'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_total' 'h4/thm/string/string_lt_cases_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_compare_succ_succ' 'h4/thm/toto/numeralOrd_6'
0. 'coq/Coq_Reals_RIneq_Rplus_opp_r_uniq' 'h4/thm/real/REAL_RINV_UNIQ_'#@#variant
0. 'coq/Coq_QArith_Qround_Qfloor_Z' 'h4/thm/integer/NUM_OF_INT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_simpl_r' 'h4/thm/real/REAL_ADD_SUB_ALT_'
0. 'coq/Coq_ZArith_Zeven_Zquot2_quot'#@#variant 'h4/thm/arithmetic/ADD1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_le_mono' 'h4/thm/integerRing/int_rewrites_tLRRRRLRRR'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_max_l' 'h4/thm/hreal/HRAT_LT_ADDL_'
0. 'coq/Coq_NArith_BinNat_N_max_lub_lt' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_e2'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_1_l'#@#variant 'h4/thm/integer/INT_DIVIDES_1_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_succ_r' 'h4/thm/arithmetic/LE_e1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_le_mono' 'h4/thm/bit/TWOEXP_MONO_'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_iff' 'h4/thm/binary_ieee/float_compare_EQ_float_compare_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_ones_equiv'#@#variant 'h4/thm/numeral/numeral_pre_e4'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_clearbit_spec_prime'#@#variant 'h4/thm/extreal/sub_rneg_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_le_mono' 'h4/thm/integerRing/int_rewrites_tLRRRLRRRR'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_nlt_ge' 'h4/thm/real/real_lte_'
0. 'coq/Coq_ZArith_BinInt_Z_div_pos'#@#variant 'h4/thm/util_prob/REAL_LE_LT_MUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_0_l' 'h4/thm/arithmetic/ZERO_DIV_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_sqrt' 'h4/thm/complex/COMPLEX_OF_REAL_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_cancel_r' 'h4/thm/arithmetic/EQ_MONO_ADD_EQ_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_nonneg_nonneg' 'h4/thm/realax/TREAL_LT_MUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_nlt' 'h4/thm/integer/INT_NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pos_pred_spec' 'h4/thm/ratRing/rat_ring_thms_e17'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_cancel_l' 'h4/thm/realax/HREAL_EQ_LADD_'
0. 'coq/Coq_ZArith_BinInt_Z_add_le_mono_r' 'h4/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_compare' 'h4/thm/toto/qk_numOrd_def_'
0. 'coq/Coq_ZArith_BinInt_Z_pow_1_r' 'h4/thm/integer/INT_ADD_REDUCE_1'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_neg_xO'#@#variant 'h4/thm/extreal/extreal_abs_def_0'
0. 'coq/Coq_Reals_RIneq_Req_ge' 'h4/thm/integer/INT_EQ_IMP_LE_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_lt' 'h4/thm/int_arith/INT_NUM_DIVIDES_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_lt_mono'#@#variant 'h4/thm/real/REAL_LT_MUL2_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_refl' 'h4/thm/extreal/le_refl_'
0. 'coq/Coq_ZArith_Zgcd_alt_fibonacci_pos' 'h4/thm/extreal/lt_infty_0'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_of_Qc' 'h4/thm/complex/complex_of_num_'#@#variant
0. 'coq/Coq_Structures_OrderedTypeEx_Z_as_OT_lt_not_eq' 'h4/thm/rat/RAT_LES_IMP_NEQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_Even_or_Odd' 'h4/thm/arithmetic/EVEN_OR_ODD_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_is_pos'#@#variant 'h4/thm/realax/REAL_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_nle_gt' 'h4/thm/real/real_lte_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_pow_succ_r' 'h4/thm/arithmetic/EXP_e1'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_even' 'h4/thm/realax/real_of_hreal_'#@#variant
0. 'coq/Coq_Reals_Rpower_exp_Ropp' 'h4/thm/numRing/num_rewrites_tLRLRRR'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_one_neq_zero' 'h4/thm/extreal/ne_01_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_sub_le_add_r' 'h4/thm/arithmetic/SUB_LEFT_LESS_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_pos'#@#variant 'h4/thm/real/REAL_LE_INV_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_divide_r' 'h4/thm/real/REAL_MIN_LE2_'
0. 'coq/Coq_NArith_BinNat_N_pred_succ' 'h4/thm/transc/ATN_e2'
0. 'coq/Coq_PArith_BinPos_Pos_lt_1_succ' 'h4/thm/prim_rec/LESS_0_'
0. 'coq/Coq_Reals_Rsqrt_def_Rsqrt_positivity' 'h4/thm/extreal/lt_infty_0'
0. 'coq/Coq_ZArith_BinInt_Z_div_le_mono'#@#variant 'h4/thm/real/REAL_LT_RMUL_IMP_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_log2_nonneg' 'h4/thm/arithmetic/FACT_LESS_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_le_compat_r' 'h4/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_quot_1_r' 'h4/thm/integer/INT_ADD_RID_'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_lt_antirefl' 'h4/thm/integer/TINT_LT_REFL_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_nlt_ge' 'h4/thm/rat/RAT_LES_LEQ_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_lt' 'h4/thm/string/char_ge_def_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_opp_l' 'h4/thm/rat/RAT_AINV_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_even_sub' 'h4/thm/integer/INT_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_irrefl' 'h4/thm/realax/TREAL_LT_REFL_'#@#variant
0. 'coq/Coq_QArith_Qminmax_Q_min_lt_iff' 'h4/thm/extreal/min_le_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_divide_r' 'h4/thm/extreal/min_le2_'
0. 'coq/Coq_QArith_QArith_base_inject_Z_injective' 'h4/thm/integer/TINT_INJ_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_succ_le_mono' 'h4/thm/numpair/tri_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_lt_mono_r_iff'#@#variant 'h4/thm/transc/RPOW_LT_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_neq_0_lt_0' 'h4/thm/extreal/lt_infty_e6'
0. 'coq/Coq_ZArith_Znat_positive_N_nat' 'h4/thm/hrat/hrat_sucint_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_gcd_divide_iff' 'h4/thm/arithmetic/MIN_LT_e1'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_divide_cancel_l' 'h4/thm/integer/INT_DIVIDES_MUL_BOTH_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_ldiff_diag' 'h4/thm/real/REAL_SUB_REFL_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_le_mono' 'h4/thm/integer/TINT_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_eq_le_incl' 'h4/thm/integer/INT_EQ_IMP_LE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_le_mono' 'h4/thm/numeral/numeral_distrib_22'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_odd_sub' 'h4/thm/float/REAL_OF_NUM_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_cancel_l' 'h4/thm/arithmetic/EQ_ADD_LCANCEL_'
0. 'coq/Coq_ZArith_BinInt_Z_opp_involutive' 'h4/thm/integer/INT_ADD_REDUCE_3'
0. 'coq/Coq_Arith_PeanoNat_Nat_succ_lt_mono' 'h4/thm/integerRing/int_rewrites_tLRRRLRRRR'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_sub_diag' 'h4/thm/real/REAL_SUB_REFL_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_Zabs' 'h4/thm/complex/COMPLEX_OF_REAL_INV_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_le_compat_l' 'h4/thm/realax/TREAL_LT_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_lt_mono_l' 'h4/thm/real/REAL_LE_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_gt_cases' 'h4/thm/arithmetic/LESS_CASES_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_pow' 'h4/thm/integer/INT_NEG_LMUL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_2' 'h4/thm/real/REAL_THIRDS_BETWEEN_e4'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_testbit_even_0'#@#variant 'h4/thm/toto/numeralOrd_3'
0. 'coq/Coq_Reals_Rminmax_R_min_le_compat_r' 'h4/thm/arithmetic/LESS_MONO_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_le_compat_r' 'h4/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div_same'#@#variant 'h4/thm/integer/INT_QUOT_ID_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_neq_0_succ' 'h4/thm/toto/num_dt_distinct_0'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_cancel_r' 'h4/thm/complex/COMPLEX_EQ_RADD_'#@#variant
0. 'coq/Coq_ZArith_Znat_Z_N_nat' 'h4/thm/rat/rat_sgn_def_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_iff' 'h4/thm/complex/COMPLEX_OF_NUM_EQ_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_lub_iff' 'h4/thm/util_prob/MAX_LE_X_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_refl' 'h4/thm/realax/TREAL_EQ_REFL_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_1' 'h4/thm/real/REAL_THIRDS_BETWEEN_e4'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div_0_l' 'h4/thm/integer/INT_DIV_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_le_compat_r' 'h4/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_refl' 'h4/thm/hrat/TRAT_EQ_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_clearbit_spec_prime'#@#variant 'h4/thm/integer/INT_SUB_CALCULATE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_asymm' 'h4/thm/hreal/HRAT_LT_ANTISYM_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div2_succ_double' 'h4/thm/string/IMPLODE_EXPLODE_'#@#variant
0. 'coq/Coq_Reals_RIneq_tech_Rgt_minus'#@#variant 'h4/thm/extreal/le_addr_imp_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lcm_divide_iff' 'h4/thm/arithmetic/MAX_LT_e1'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_1_l' 'h4/thm/numeral/numeral_texp_help_0'
0. 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_lt_not_eq' 'h4/thm/prim_rec/NOT_LESS_EQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_setbit_spec_prime'#@#variant 'h4/thm/rat/RAT_SUB_ADDAINV_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_odd_1' 'h4/thm/rat/rat_of_num_def_compute_1'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_double'#@#variant 'h4/thm/rat/RAT_AINV_CALCULATE_'
0. 'coq/Coq_PArith_BinPos_Pos_lt_succ_diag_r' 'h4/thm/real/ABS_LE_'
0. 'coq/Coq_ZArith_BinInt_Z2Pos_inj_sqrt' 'h4/thm/complex/COMPLEX_OF_REAL_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_gt_lt_iff' 'h4/thm/real/real_ge_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_1_succ' 'h4/thm/arithmetic/FACT_LESS_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_succ_le_mono' 'h4/thm/numeral/numeral_lte_3'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_1_r' 'h4/thm/arithmetic/DIV_ONE_'
0. 'coq/Coq_PArith_Pnat_SuccNat2Pos_inj_iff' 'h4/thm/binary_ieee/float_compare_EQ_float_compare_'
0. 'coq/Coq_ZArith_Zcompare_Zcompare_succ_compat' 'h4/thm/toto/qk_numeralOrd_5'
0. 'coq/Coq_Reals_RIneq_Ropp_minus_distr_prime' 'h4/thm/frac/FRAC_AINV_SUB_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_iff' 'h4/thm/DeepSyntax/deep_form_11_4'
0. 'coq/Coq_Reals_Rprod_le_n_2n'#@#variant 'h4/thm/real/ABS_LE_'
0. 'coq/Coq_NArith_BinNat_N_add_lt_le_mono' 'h4/thm/real/REAL_LTE_ADD2_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_sub_le_add_r' 'h4/thm/integer/INT_LE_SUB_LADD_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_le' 'h4/thm/int_arith/INT_NUM_DIVIDES_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_succ_diag_r' 'h4/thm/real/ABS_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_0_r' 'h4/thm/divides/ALL_DIVIDES_0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_quot_1_r' 'h4/thm/real/REAL_SUB_RZERO_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_trichotomy' 'h4/thm/arithmetic/LESS_LESS_CASES_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_lt_mono' 'h4/thm/integerRing/int_rewrites_tLRRRRLRRR'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_succ_r' 'h4/thm/complex/COMPLEX_MUL_RNEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_total' 'h4/thm/hreal/HRAT_LT_TOTAL_'
0. 'coq/Coq_Bool_Bool_orb_diag' 'h4/thm/real/REAL_MIN_REFL_'
0. 'coq/Coq_QArith_Qcanon_Qcopp_involutive' 'h4/thm/complex/COMPLEX_INV_INV_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_lt_mono_r' 'h4/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_neq_succ_diag_r' 'h4/thm/prim_rec/SUC_ID_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_double'#@#variant 'h4/thm/util_prob/neg_lg_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_pos_pos' 'h4/thm/binary_ieee/le2_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mod_le'#@#variant 'h4/thm/arithmetic/DIV_LESS_'#@#variant
0. 'coq/Coq_NArith_Nnat_N2Nat_id' 'h4/thm/patricia_casts/num_to_string_string_to_num_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_diag'#@#variant 'h4/thm/real/REAL_DOUBLE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_refl' 'h4/thm/arithmetic/LESS_EQ_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_testbit_even_0'#@#variant 'h4/thm/toto/numeralOrd_4'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_0_r'#@#variant 'h4/thm/arithmetic/EXP_0'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_glb_lt' 'h4/thm/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_cancel_l' 'h4/thm/arithmetic/EQ_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftr_shiftr' 'h4/thm/arithmetic/SUB_PLUS_'
0. 'coq/Coq_QArith_QArith_base_Qmult_lt_r'#@#variant 'h4/thm/real/REAL_LE_RMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lcm_divide_iff' 'h4/thm/extreal/max_le_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_succ_l' 'h4/thm/arithmetic/ADD_CLAUSES_2'
0. 'coq/Coq_ZArith_BinInt_Z_ldiff_land' 'h4/thm/extreal/extreal_div_def_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sub_succ' 'h4/thm/real/REAL_NEG_MUL2_'
0. 'coq/Coq_ZArith_BinInt_Z_quot_1_r' 'h4/thm/rat/RAT_ADD_RID_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_move_0_l' 'h4/thm/integer/INT_RNEG_UNIQ_'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_le' 'h4/thm/string/char_ge_def_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_nonneg'#@#variant 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_asymm' 'h4/thm/integer/INT_LT_ANTISYM_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_nonneg_pos'#@#variant 'h4/thm/integer/INT_LET_ADD_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_max_lt_iff' 'h4/thm/arithmetic/MAX_LT_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_double_twice'#@#variant 'h4/thm/real/REAL_INV_1OVER_'#@#variant
0. 'coq/Coq_NArith_Ndist_ni_le_refl' 'h4/thm/arithmetic/LESS_EQ_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_neg_pos_cases'#@#variant 'h4/thm/intExtension/INT_NE_IMP_LTGT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_even_opp' 'h4/thm/complex/MODU_NEG_'#@#variant
0. 'coq/Coq_ZArith_Zdiv_Zmod_1_r'#@#variant 'h4/thm/arithmetic/EXP_0'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qcle_refl' 'h4/thm/hrat/TRAT_EQ_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_1_r' 'h4/thm/integer/INT_ADD_CALCULATE_1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_opp_r' 'h4/thm/real/real_sub_'
0. 'coq/Coq_Reals_RIneq_Ropp_minus_distr_prime' 'h4/thm/real/REAL_NEG_SUB_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_1_l' 'h4/thm/HolSmt/r221_'
0. 'coq/Coq_ZArith_BinInt_Z_add_simpl_r' 'h4/thm/integer/INT_SUB_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_le_mono_r_iff'#@#variant 'h4/thm/transc/RPOW_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sub_1_r'#@#variant 'h4/thm/arithmetic/DIV2_def_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_neq_succ_diag_l' 'h4/thm/prim_rec/SUC_ID_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_1_mul_pos'#@#variant 'h4/thm/real/REAL_LTE_ADD_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_glb_iff' 'h4/thm/integral/REAL_LT_MIN_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_neg_neg'#@#variant 'h4/thm/extreal/le_mul_neg_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_le_mono_nonneg'#@#variant 'h4/thm/real/REAL_LE_MUL2_'#@#variant
0. 'coq/Coq_ZArith_Znat_positive_N_nat' 'h4/thm/rat/rat_nmr_def_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_div2_double'#@#variant 'h4/thm/transc/LN_EXP_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_2' 'h4/thm/extreal/half_between_tRL'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_clearbit_spec_prime'#@#variant 'h4/thm/real/real_div_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_eq_sym_iff' 'h4/thm/integer/TINT_EQ_SYM_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_pred_succ' 'h4/thm/string/IMPLODE_EXPLODE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_succ_r' 'h4/thm/integer/INT_NEG_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_succ_diag_r' 'h4/thm/arithmetic/LESS_EQ_SUC_REFL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_1_r'#@#variant 'h4/thm/arithmetic/ADD1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_neq_succ_0' 'h4/thm/intto/BIT2_nz_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_1' 'h4/thm/extreal/half_between_tRL'#@#variant
0. 'coq/Coq_NArith_Nnat_Nat2N_id' 'h4/thm/extreal/real_normal_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_max_l' 'h4/thm/hreal/HRAT_LT_ADDL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_pos_neg'#@#variant 'h4/thm/extreal/mul_lte_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_lt_mono_l' 'h4/thm/integer/INT_LT_LADD_'
0. 'coq/Coq_Numbers_Cyclic_DoubleCyclic_DoubleBase_lt_0_wB'#@#variant 'h4/thm/binary_ieee/zero_lt_twopow_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_cancel_l' 'h4/thm/realax/HREAL_EQ_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lcm_eq_0' 'h4/thm/rat/RAT_NO_ZERODIV_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_succ_le_mono' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_NArith_BinNat_N_pow_mul_r' 'h4/thm/logroot/EXP_MUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_max_r' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_1'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lnot_0_l' 'h4/thm/rat/RAT_SUB_LID_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zsucc_gt_compat' 'h4/thm/hrat/TRAT_INV_WELLDEFINED_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div_1_r' 'h4/thm/integer/INT_ADD_REDUCE_1'
0. 'coq/Coq_ZArith_BinInt_Z_add_opp_r' 'h4/thm/extreal/extreal_div_def_'
0. 'coq/Coq_ZArith_BinInt_Z_le_lt_trans' 'h4/thm/extreal/let_trans_'
0. 'coq/Coq_setoid_ring_RealField_Rdef_pow_add' 'h4/thm/integer/INT_EXP_ADD_EXPONENTS_'
0. 'coq/Coq_ZArith_BinInt_Z_div_1_r' 'h4/thm/HolSmt/r080_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_le_mono_r' 'h4/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lor_diag' 'h4/thm/extreal/max_refl_'
0. 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_lt_not_eq' 'h4/thm/hreal/HRAT_LT_NE_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_quot2' 'h4/thm/extreal/extreal_ainv_def_e2'
0. 'coq/Coq_ZArith_BinInt_Z_lt_trichotomy' 'h4/thm/hreal/HRAT_LT_TOTAL_'
0. 'coq/Coq_QArith_QArith_base_Qmult_le_compat_r'#@#variant 'h4/thm/extreal/le_rmul_imp_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_divide_refl' 'h4/thm/integer/TINT_EQ_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lcm_1_l'#@#variant 'h4/thm/extreal/sub_lzero_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_le_mono_r'#@#variant 'h4/thm/real/REAL_LT_LMUL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_add_le_sub_r' 'h4/thm/real/REAL_LE_SUB_LADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_divide' 'h4/thm/string/char_lt_def_'
0. 'coq/Coq_ZArith_BinInt_Z_rem_0_l' 'h4/thm/integer/INT_MOD0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_1_r' 'h4/thm/rat/RAT_ADD_RID_'
0. 'coq/Coq_QArith_Qcanon_Qcle_refl' 'h4/thm/rat/RAT_EQUIV_REF_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_pos'#@#variant 'h4/thm/real/REAL_POS_'#@#variant
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_lt_antirefl' 'h4/thm/hreal/HRAT_LT_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_le_mono_l' 'h4/thm/arithmetic/ADD_MONO_LESS_EQ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_inj_wd' 'h4/thm/numpair/tri_11_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_le_compat_l' 'h4/thm/extreal/le_ladd_imp_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_negb_odd' 'h4/thm/ratRing/rat_ring_thms_e17'#@#variant
0. 'coq/Coq_ZArith_Znat_Z2N_inj_div2' 'h4/thm/complex/COMPLEX_OF_REAL_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lnot_ones' 'h4/thm/rat/RAT_ADD_LINV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_opp_l' 'h4/thm/integer/INT_DIVIDES_NEG_e1'
0. 'coq/Coq_Reals_Ranalysis4_sinh_lt' 'h4/thm/numpair/tri_LT_I_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_sub_lt_add_l' 'h4/thm/arithmetic/SUB_RIGHT_GREATER_'
0. 'coq/Coq_Reals_Rbasic_fun_abs_IZR' 'h4/thm/extreal/extreal_ainv_def_e2'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_succ' 'h4/thm/extreal/extreal_abs_def_0'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_nonneg_r'#@#variant 'h4/thm/real/REAL_LT_RMUL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_1_l' 'h4/thm/integer/INT_SUB_LZERO_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_succ_l' 'h4/thm/frac/FRAC_AINV_LMUL_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_nge' 'h4/thm/real/real_lte_'
0. 'coq/Coq_Reals_Rtrigo_def_cosn_no_R0' 'h4/thm/binary_ieee/float_value_distinct_0'
0. 'coq/Coq_Init_Peano_le_pred' 'h4/thm/numpair/tri_LT_I_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_le_mono_r' 'h4/thm/arithmetic/LT_ADD_RCANCEL_'
0. 'coq/Coq_FSets_FSetPositive_PositiveSet_E_bits_lt_antirefl' 'h4/thm/extreal/lt_refl_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_mod' 'h4/thm/integer/INT_MOD_PLUS_'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_iff' 'h4/thm/patricia_casts/string_to_num_11_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_oppc' 'h4/thm/complex/COMPLEX_OF_REAL_NEG_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_setbit_spec_prime'#@#variant 'h4/thm/HolSmt/r224_'#@#variant
0. 'coq/Coq_Arith_Le_le_n_S' 'h4/thm/bit/TWOEXP_MONO_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_cancel_r' 'h4/thm/arithmetic/EQ_MONO_ADD_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_irrefl' 'h4/thm/integer/INT_LT_REFL_'
0. 'coq/Coq_Reals_Ranalysis4_sinh_lt' 'h4/thm/bit/TWOEXP_MONO2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_le_iff' 'h4/thm/real/REAL_LE_MAX_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_pos_neg'#@#variant 'h4/thm/extreal/mul_le_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_1_l'#@#variant 'h4/thm/numeral/numeral_texp_help_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_nonneg'#@#variant 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_land_assoc' 'h4/thm/hrat/TRAT_MUL_ASSOC_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_le_mono_r' 'h4/thm/integer/INT_LT_RADD_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_lt' 'h4/thm/realax/REAL_ISO_EQ_'
0. 'coq/Coq_NArith_BinNat_N_max_le_compat_l' 'h4/thm/real/REAL_LT_IADD_'
0. 'coq/Coq_PArith_Pnat_Nat2Pos_inj_pred' 'h4/thm/complex/COMPLEX_OF_REAL_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_lt_mono_r' 'h4/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_wf_0' 'h4/thm/nets/DORDER_NGE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_lt_lin'#@#variant 'h4/thm/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_lub_iff' 'h4/thm/arithmetic/MAX_LT_e1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_succ_diag_r' 'h4/thm/bit/BIT_B_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_diag' 'h4/thm/arithmetic/TIMES2_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_1' 'h4/thm/transc/TAN_0_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_id' 'h4/thm/extreal/min_refl_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_pos_r'#@#variant 'h4/thm/logroot/EXP_LT_ISO_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_nonneg_nonneg' 'h4/thm/binary_ieee/le2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_testbit_even_0'#@#variant 'h4/thm/toto/qk_numeralOrd_4'
0. 'coq/Coq_NArith_BinNat_N_lt_lt_add_r' 'h4/thm/divides/DIVIDES_MULT_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_of_Z' 'h4/thm/ieee/num2ccode_ccode2num_'
0. 'coq/Coq_PArith_BinPos_Pplus_one_succ_l' 'h4/thm/extreal/sub_lzero_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_setbit_spec_prime'#@#variant 'h4/thm/complex/COMPLEX_SUB_RNEG_'#@#variant
0. 'coq/Coq_Lists_List_length_zero_iff_nil' 'h4/thm/quantHeuristics/LIST_LENGTH_1_15'
0. 'coq/Coq_NArith_Nnat_Nat2N_id' 'h4/thm/string_num/n2s_s2n_'#@#variant
0. 'coq/Coq_Reals_Exp_prop_div2_double'#@#variant 'h4/thm/numeral/DIV2_BIT1_'
0. 'coq/Coq_PArith_Pnat_SuccNat2Pos_inj_iff' 'h4/thm/integer/INT_DIV_CALCULATE_2'
0. 'coq/Coq_NArith_BinNat_N_max_le_compat_r' 'h4/thm/arithmetic/LESS_MONO_MULT_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_glb_lt_iff' 'h4/thm/arithmetic/MIN_LT_e1'
0. 'coq/Coq_Reals_RIneq_Rlt_minus' 'h4/thm/extreal/sub_lt_zero_'#@#variant
0. 'coq/Coq_ZArith_Zeven_Zeven_plus_Zodd' 'h4/thm/extreal/let_add_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_min_distr_l' 'h4/thm/arithmetic/EXP_ADD_'
0. 'coq/Coq_PArith_BinPos_Pos_pred_sub' 'h4/thm/arithmetic/DIV2_def_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_pos_nonneg'#@#variant 'h4/thm/real/REAL_LTE_ADD_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pred_succ' 'h4/thm/prim_rec/PRE_e1'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_neg_iff' 'h4/thm/prelim/ordering2num_11_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_nlt_ge' 'h4/thm/extreal/extreal_lt_def_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_opp_r' 'h4/thm/real/real_div_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pred_div2_up' 'h4/thm/extreal/extreal_ainv_def_e2'
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_le_mono' 'h4/thm/hrat/TRAT_INV_WELLDEFINED_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sub_succ_l' 'h4/thm/arithmetic/ADD_CLAUSES_2'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_le_mono' 'h4/thm/numpair/tri_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_nonneg' 'h4/thm/arithmetic/FACT_LESS_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_le_compat_l' 'h4/thm/real/REAL_LT_IADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_le_mono_pos_l'#@#variant 'h4/thm/int_arith/lt_justify_multiplication_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_nonneg_l'#@#variant 'h4/thm/arithmetic/EXP_BASE_LEQ_MONO_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_1' 'h4/thm/integerRing/int_rewrites_tRRRRRRRRRRRRRL'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_lor' 'h4/thm/complex/COMPLEX_EXP_SUB_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_nonpos_nonpos'#@#variant 'h4/thm/extreal/lt_mul_neg_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_succ_diag_r' 'h4/thm/prim_rec/LESS_SUC_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_rem_1_l'#@#variant 'h4/thm/arithmetic/ZERO_MOD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_pos_r'#@#variant 'h4/thm/rat/RAT_LES_RMUL_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_inj_wd' 'h4/thm/rat/RAT_EQ_AINV_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_succ_l' 'h4/thm/arithmetic/ADD_CLAUSES_2'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_pos_pos' 'h4/thm/binary_ieee/le2_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_cancel_r' 'h4/thm/rat/RAT_EQ_RMUL_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_divide_pos_le' 'h4/thm/divides/DIVIDES_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_l' 'h4/thm/realax/TREAL_LT_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_le_mono_r' 'h4/thm/hreal/HRAT_LT_RADD_'
0. 'coq/Coq_PArith_BinPos_Pos_divide_xO_xO' 'h4/thm/transc/EXP_MONO_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_le_iff' 'h4/thm/real/REAL_LE_MAX_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_lt_mono_pos_l'#@#variant 'h4/thm/arithmetic/EXP_BASE_LT_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_min_l' 'h4/thm/extreal/min_le1_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_setbit_spec_prime'#@#variant 'h4/thm/integer/INT_SUB_CALCULATE_'
0. 'coq/Coq_ZArith_BinInt_Zmult_integral' 'h4/thm/intExtension/INT_NOT0_MUL_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_div2_spec'#@#variant 'h4/thm/arithmetic/PRE_SUB1_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_add_lt_mono_r' 'h4/thm/rat/RAT_LES_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_1_l' 'h4/thm/HolSmt/r221_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_0_succ' 'h4/thm/transc/ATN_BOUNDS_0'#@#variant
0. 'coq/Coq_Arith_Wf_nat_lt_wf'#@#variant 'h4/thm/prim_rec/WF_LESS_'#@#variant
0. 'coq/Coq_MSets_MSetPositive_PositiveSet_E_bits_lt_antirefl' 'h4/thm/prim_rec/LESS_REFL_'
0. 'coq/Coq_Reals_Rminmax_R_OT_le_lteq' 'h4/thm/integral/LE_LT_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_of_Q' 'h4/thm/frac/frac_tybij_0'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_lt_nle' 'h4/thm/real/real_lte_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lcm_1_l' 'h4/thm/real/REAL_ADD_LID_'
0. 'coq/Coq_ZArith_BinInt_Z_eq_le_incl' 'h4/thm/realax/TREAL_EQ_AP_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_add_sub' 'h4/thm/real/REAL_SUB_ADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_0_mul_prime'#@#variant 'h4/thm/arithmetic/ODD_MULT_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_refl' 'h4/thm/rat/RAT_EQUIV_REF_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_irrefl' 'h4/thm/rat/RAT_LES_REF_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_rem_opp_l_prime' 'h4/thm/arithmetic/ADD_e1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_glb_iff' 'h4/thm/arithmetic/MIN_LE_e1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ldiff_m1_l'#@#variant 'h4/thm/HolSmt/r129_'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_beq_iff' 'h4/thm/quote/compare_index_equal_'
0. 'coq/Coq_NArith_BinNat_N_succ_inj' 'h4/thm/divides/PRIMES_11_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_min_distr_l' 'h4/thm/arithmetic/EXP_ADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_1_2' 'h4/thm/transc/PI2_BOUNDS_e1'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_add_lt_sub_r' 'h4/thm/real/REAL_LE_SUB_RADD_'
0. 'coq/Coq_NArith_BinNat_N_pow_0_l' 'h4/thm/integer/INT_MOD0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_1_mul_pos'#@#variant 'h4/thm/real/REAL_LTE_ADD_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_le_mono' 'h4/thm/real/REAL_POS_MONO_'
0. 'coq/Coq_ZArith_BinInt_Z_add_1_l'#@#variant 'h4/thm/arithmetic/SUC_ONE_ADD_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_max_le_compat_l' 'h4/thm/integer/TINT_LT_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_le_mono_r_iff'#@#variant 'h4/thm/logroot/LT_EXP_ISO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_lt_mono' 'h4/thm/integerRing/int_rewrites_tLRRRLRRR'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_lub_lt_iff' 'h4/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_le_compat_l' 'h4/thm/extreal/le_ladd_imp_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_irrefl' 'h4/thm/hreal/HRAT_LT_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_succ_diag_r' 'h4/thm/arithmetic/LESS_EQ_SUC_REFL_'
0. 'coq/Coq_Reals_RIneq_Rplus_le_compat_r' 'h4/thm/integer/TINT_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_pred' 'h4/thm/numeral/numeral_suc_e2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_opp_diag_l' 'h4/thm/integer/INT_ADD_LINV_'#@#variant
0. 'coq/Coq_Reals_Rfunctions_powerRZ_O' 'h4/thm/real/pow_0'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_succ_l' 'h4/thm/prim_rec/SUC_LESS_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_le' 'h4/thm/realax/REAL_ISO_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_lxor_l' 'h4/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_cancel_r' 'h4/thm/rat/RAT_EQ_RMUL_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pow_1_l' 'h4/thm/integer/INT_MUL_LZERO_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_0_l' 'h4/thm/divides/ONE_DIVIDES_ALL_'#@#variant
0. 'coq/Coq_Lists_List_seq_NoDup' 'h4/thm/listRange/listRangeLHI_ALL_DISTINCT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lxor_lnot_lnot' 'h4/thm/extreal/neg_mul2_'
0. 'coq/Coq_NArith_BinNat_N_lt_trichotomy' 'h4/thm/realax/REAL_LT_TOTAL_'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_one_neq_zero' 'h4/thm/toto/all_cpn_distinct_tLRL'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_pred_succ' 'h4/thm/bit/LOG2_TWOEXP_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_comm' 'h4/thm/hrat/TRAT_MUL_SYM_'#@#variant
0. 'coq/Coq_Lists_Streams_EqSt_reflex' 'h4/thm/Encode/biprefix_refl_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_factor_l' 'h4/thm/extreal/le_max1_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div_1_r' 'h4/thm/integer/INT_ADD_CALCULATE_1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_lt_mono_pos_l'#@#variant 'h4/thm/logroot/LE_EXP_ISO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_succ_diag_r' 'h4/thm/bit/BIT_B_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_divide_mono_r' 'h4/thm/arithmetic/LESS_MONO_MULT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_simpl_r' 'h4/thm/real/REAL_ADD_SUB_ALT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_leb_le' 'h4/thm/quote/index_lt_def_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_quot_mul' 'h4/thm/integer/INT_DIV_RMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_lt_mono_r_iff' 'h4/thm/integer/INT_LT_MONO_'
0. 'coq/Coq_Arith_Max_max_idempotent' 'h4/thm/gcd/GCD_REF_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lxor_m1_l'#@#variant 'h4/thm/numeral/texp_help_def_0'
0. 'coq/Coq_Reals_Rtrigo_calc_sqrt2_neq_0'#@#variant 'h4/thm/ieee/roundmode_distinct_0'
0. 'coq/Coq_ZArith_Zlogarithm_log_inf_correct1'#@#variant 'h4/thm/float/twogz_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_nle_gt' 'h4/thm/HolSmt/r115_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_double_spec'#@#variant 'h4/thm/arithmetic/SUC_ONE_ADD_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_succ_l' 'h4/thm/arithmetic/PRE_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_irrefl' 'h4/thm/realax/REAL_LT_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_lub_lt_iff' 'h4/thm/arithmetic/MAX_LT_e1'
0. 'coq/Coq_QArith_Qreduction_Qred_correct' 'h4/thm/numpair/nfst_le_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftl_mul_pow2'#@#variant 'h4/thm/HolSmt/r224_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_quot_1_r' 'h4/thm/integer/INT_ADD_CALCULATE_1'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_0_mul_prime' 'h4/thm/arithmetic/ZERO_LESS_MULT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_inj_wd' 'h4/thm/quote/index_11_0'
0. 'coq/Coq_ZArith_BinInt_Z_sgn_neg_iff'#@#variant 'h4/thm/intExtension/INT_SGN_CLAUSES_e2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_1' 'h4/thm/transc/TAN_0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_succ_diag_r' 'h4/thm/real/ABS_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gt_lt_iff' 'h4/thm/rat/rat_gre_def_'
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_pos_eq'#@#variant 'h4/thm/intExtension/INT_ABS_CALCULATE_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pred_le_mono' 'h4/thm/divides/LT_PRIMES_'
0. 'coq/Coq_ZArith_Zeven_Zquot2_opp' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_Even_or_Odd' 'h4/thm/arithmetic/EVEN_OR_ODD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_land_lnot_diag' 'h4/thm/real/REAL_ADD_RINV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_r' 'h4/thm/extreal/le_radd_imp_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_neq' 'h4/thm/prim_rec/LESS_NOT_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftr_opp_r' 'h4/thm/extreal/sub_rneg_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_le_mono_l' 'h4/thm/integer/INT_LT_LADD_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_log2' 'h4/thm/extreal/extreal_abs_def_0'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_compare_xI_xI' 'h4/thm/toto/qk_numeralOrd_6'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_ones_equiv'#@#variant 'h4/thm/numeral/numeral_suc_1'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_antisym' 'h4/thm/rat/RAT_LEQ_ANTISYM_'
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_divide_l' 'h4/thm/arithmetic/SUB_LESS_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_add_lt_sub_r' 'h4/thm/rat/RAT_RSUB_LES_'
0. 'coq/Coq_ZArith_Zquot_Zquot_opp_r' 'h4/thm/arithmetic/ADD_SUC_'
0. 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_compare_Eq' 'h4/thm/quote/compare_index_equal_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_pos'#@#variant 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_shuffle3' 'h4/thm/HolSmt/r086_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_opp_l' 'h4/thm/extreal/mul_lneg_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lcm_diag' 'h4/thm/arithmetic/TIMES2_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_lxor_r' 'h4/thm/real/REAL_NEG_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_nonneg' 'h4/thm/transc/ATN_BOUNDS_0'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_lt' 'h4/thm/extreal/extreal_le_def_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_le_mono_pos_l'#@#variant 'h4/thm/integer/INT_LE_MONO_'#@#variant
0. 'coq/Coq_ZArith_Zpower_two_p_S'#@#variant 'h4/thm/util_prob/neg_lg_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div_same'#@#variant 'h4/thm/integer/INT_DIV_ID_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sub_pred_l' 'h4/thm/complex/COMPLEX_MUL_LNEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lor_diag' 'h4/thm/gcd/GCD_REF_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_pos_nonneg'#@#variant 'h4/thm/integer/INT_LTE_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_clearbit_spec_prime'#@#variant 'h4/thm/integer/INT_SUB_CALCULATE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_nge' 'h4/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_ZArith_BinInt_Z_odd_opp' 'h4/thm/complex/MODU_CONJ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div_1_r' 'h4/thm/rat/RAT_ADD_RID_'
0. 'coq/Coq_QArith_Qreduction_Qred_comp' 'h4/thm/numpair/tri_LT_I_'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_minus_one_neq_zero'#@#variant 'h4/thm/prelim/ordering_distinct_1'
0. 'coq/Coq_ZArith_BinInt_Z_mul_le_mono_nonneg'#@#variant 'h4/thm/real/REAL_LT_MUL2_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_le_mono_r' 'h4/thm/arithmetic/LESS_MONO_ADD_EQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftl_1_l'#@#variant 'h4/thm/HolSmt/r221_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_log2_nonneg' 'h4/thm/divides/ZERO_LT_PRIMES_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_eqb' 'h4/thm/intto/pos_pos_thm_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_lt_mono' 'h4/thm/numeral/numeral_distrib_22'
0. 'coq/Coq_Arith_PeanoNat_Nat_ldiff_diag' 'h4/thm/rat/RAT_SUB_ID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_0_r'#@#variant 'h4/thm/util_prob/logr_1_'#@#variant
0. 'coq/Coq_NArith_Ndist_ni_min_O_l' 'h4/thm/real/REAL_DIV_LZERO_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_pos_l'#@#variant 'h4/thm/int_arith/lt_justify_multiplication_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_mul_le_mono_l' 'h4/thm/arithmetic/LT_ADD_LCANCEL_'
0. 'coq/Coq_ZArith_BinInt_Z_min_id' 'h4/thm/extreal/max_refl_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_pred_double_succ' 'h4/thm/numeral/numeral_suc_1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_sub_0' 'h4/thm/rat/RAT_LES_SUB0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_succ_diag_r' 'h4/thm/arithmetic/LESS_EQ_SUC_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_succ_r' 'h4/thm/real/REAL_MUL_RNEG_'
0. 'coq/Coq_NArith_BinNat_N_min_le_compat_r' 'h4/thm/extreal/le_radd_imp_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_succ_l' 'h4/thm/integer/INT_MUL_CALCULATE_1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_le_mono_pos_r'#@#variant 'h4/thm/intExtension/INT_LT_RMUL_EXP_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_opp_nonpos_nonneg'#@#variant 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRL'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_1_r' 'h4/thm/integer/INT_ADD_RID_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_nonneg_nonneg' 'h4/thm/integer/TINT_LT_MUL_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_1_r' 'h4/thm/HolSmt/r214_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_nonneg_nonneg' 'h4/thm/realax/TREAL_LT_MUL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_Zpos' 'h4/thm/real/lt_int_0'
0. 'coq/Coq_PArith_BinPos_Pos_mul_lt_mono_r' 'h4/thm/arithmetic/LE_ADD_RCANCEL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_compare_succ_succ' 'h4/thm/toto/qk_numeralOrd_6'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_sub_le_add_r' 'h4/thm/real/REAL_LT_ADD_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_nonneg_nonneg' 'h4/thm/binary_ieee/le2_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_le_mono_l' 'h4/thm/hreal/HRAT_LT_LMUL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_le_mono_r' 'h4/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_total' 'h4/thm/arithmetic/LESS_LESS_CASES_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_xI_succ_xO' 'h4/thm/numeral/numeral_pre_e4'
0. 'coq/Coq_ZArith_BinInt_Zminus_diag_reverse' 'h4/thm/rat/RAT_SUB_ID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_succ_l' 'h4/thm/real/REAL_MUL_LNEG_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_succ_le_mono' 'h4/thm/integerRing/int_rewrites_tLRRRRLRRR'
0. 'coq/Coq_ZArith_BinInt_Z_mul_nonpos_nonpos'#@#variant 'h4/thm/extreal/le_mul_neg_'#@#variant
0. 'coq/Coq_ZArith_Zdiv_Zmod_1_r'#@#variant 'h4/thm/numeral/numeral_distrib_11'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_lt_mono_pos_l'#@#variant 'h4/thm/int_arith/lt_justify_multiplication_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_sub_le_add_r' 'h4/thm/rat/RAT_RSUB_LES_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_0_r'#@#variant 'h4/thm/arithmetic/MOD_1_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_add_0_l' 'h4/thm/hrat/TRAT_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_cancel_l' 'h4/thm/arithmetic/EQ_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_pos_le'#@#variant 'h4/thm/divides/DIVIDES_LE_'#@#variant
0. 'coq/Coq_Bool_Bool_negb_involutive' 'h4/thm/complex/COMPLEX_INV_INV_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_lcm_r' 'h4/thm/extreal/le_max2_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_le_mono' 'h4/thm/numeral/numeral_distrib_22'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftl_opp_r' 'h4/thm/integer/INT_SUB_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_0_r'#@#variant 'h4/thm/arithmetic/MOD_ONE_'#@#variant
0. 'coq/Coq_Reals_Rtrigo_calc_deg_rad' 'h4/thm/numpair/invtri_linverse_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_nge' 'h4/thm/HolSmt/r096_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_pos_l'#@#variant 'h4/thm/real/REAL_LE_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_trichotomy' 'h4/thm/string/string_lt_cases_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_shuffle3' 'h4/thm/HolSmt/r086_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_even_1' 'h4/thm/float/FLOAT_INFINITIES_SIGNED_0'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_le_mono_r' 'h4/thm/arithmetic/LE_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mod_1_l'#@#variant 'h4/thm/arithmetic/ONE_MOD_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_lt_mono_pos_r'#@#variant 'h4/thm/logroot/EXP_LE_ISO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_max_l' 'h4/thm/real/REAL_LE_MAX1_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_succ_diag_r' 'h4/thm/prim_rec/LESS_SUC_SUC_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_neq' 'h4/thm/realax/HREAL_LT_NE_'
0. 'coq/Coq_ZArith_BinInt_Z_opp_inj_wd' 'h4/thm/integer/INT_EQ_NEG_'
0. 'coq/Coq_QArith_QArith_base_Zle_Qle' 'h4/thm/float/REAL_OF_NUM_LT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_succ_l' 'h4/thm/arithmetic/ADD_CLAUSES_2'
0. 'coq/Coq_ZArith_BinInt_Z_div2_nonneg'#@#variant 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lnot_0_l' 'h4/thm/HolSmt/r128_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_gt_lt_iff' 'h4/thm/rat/rat_geq_def_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftr_shiftr' 'h4/thm/frac/FRAC_SUB_ADD_'
0. 'coq/Coq_NArith_BinNat_N_neq_0_succ' 'h4/thm/bit/TWOEXP_NOT_ZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_divide_mono_l' 'h4/thm/extreal/le_ladd_imp_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_neq_succ_0' 'h4/thm/toto/num_dt_distinct_1'
0. 'coq/Coq_PArith_BinPos_Pos_add_cancel_l' 'h4/thm/real/REAL_EQ_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_le_mono' 'h4/thm/divides/LT_PRIMES_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_succ_diag_r' 'h4/thm/numpair/tri_le_'
0. 'coq/Coq_Reals_Rminmax_R_min_glb_lt' 'h4/thm/divides/DIVIDES_SUB_'
0. 'coq/Coq_Bool_Bool_diff_false_true' 'h4/thm/binary_ieee/float_compare_distinct_3'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_succ_inj_wd' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_NArith_BinNat_N_add_cancel_l' 'h4/thm/rat/RAT_EQ_LADD_'
0. 'coq/Coq_ZArith_Zeven_Zeven_plus_Zodd' 'h4/thm/extreal/lte_mul_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_pos'#@#variant 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_le' 'h4/thm/extreal/extreal_le_def_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_clearbit_spec_prime'#@#variant 'h4/thm/real/real_div_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_asymm' 'h4/thm/hreal/HRAT_LT_GT_'
0. 'coq/Coq_Reals_Rminmax_R_le_min_r' 'h4/thm/extreal/min_le2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_0_iff' 'h4/thm/integer/INT_REM_CALCULATE_e4'#@#variant
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_div2' 'h4/thm/quote/index_size_def_0'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_div2' 'h4/thm/complex/COMPLEX_OF_REAL_NEG_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_glb_lt' 'h4/thm/divides/DIVIDES_SUB_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_phi' 'h4/thm/binary_ieee/num2rounding_rounding2num_'
0. 'coq/Coq_ZArith_Zorder_Zmult_lt_compat_r'#@#variant 'h4/thm/integral/REAL_LE_RMUL1_'#@#variant
0. 'coq/Coq_Reals_Rfunctions_Rsqr_pow2'#@#variant 'h4/thm/complex/COMPLEX_SCALAR_RMUL_NEG1_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_glb_iff' 'h4/thm/integral/REAL_LT_MIN_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_id' 'h4/thm/arithmetic/MIN_IDEM_'
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_eq_0' 'h4/thm/arithmetic/ADD_EQ_0_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_Zpos' 'h4/thm/integer/INT_LT_CALCULATE_0'
0. 'coq/Coq_ZArith_BinInt_Z_shiftl_1_l'#@#variant 'h4/thm/HolSmt/r129_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rplus_ge_compat_r' 'h4/thm/arithmetic/LESS_MONO_MULT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lnot_0_l' 'h4/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Zpos_eq_iff' 'h4/thm/DeepSyntax/deep_form_11_6'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_le_compat_r' 'h4/thm/hrat/TRAT_MUL_WELLDEFINED_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_shuffle3' 'h4/thm/HolSmt/r220_'
0. 'coq/Coq_QArith_QArith_base_Zlt_Qlt' 'h4/thm/extreal/extreal_lt_eq_'
0. 'coq/Coq_NArith_BinNat_N_nlt_0_r' 'h4/thm/prim_rec/NOT_LESS_0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_le_compat_r' 'h4/thm/extreal/le_radd_imp_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_pos_cancel_l'#@#variant 'h4/thm/real/REAL_LT_LMUL_0_'#@#variant
0. 'coq/Coq_PArith_BinPos_Ppred_minus' 'h4/thm/arithmetic/ADD1_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_le_refl' 'h4/thm/integer/TINT_EQ_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_divide_xO_xO' 'h4/thm/integerRing/int_rewrites_tRRRRRRLRRRR'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_pos_cancel_r'#@#variant 'h4/thm/real/REAL_LT_RDIV_0_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_divide_lcm_l' 'h4/thm/integer/INT_DIVIDES_MUL_0'
0. 'coq/Coq_Sets_Powerset_facts_Empty_set_zero' 'h4/thm/list/APPEND_0'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_xO'#@#variant 'h4/thm/complex/COMPLEX_OF_REAL_NEG_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_divide_refl' 'h4/thm/integer/INT_LE_REFL_'
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_Zabs' 'h4/thm/extreal/extreal_inv_def_e2'
0. 'coq/Coq_PArith_BinPos_Pos_compare_succ_succ' 'h4/thm/toto/qk_numeralOrd_5'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mod_1_r'#@#variant 'h4/thm/arithmetic/MOD_ONE_'#@#variant
0. 'coq/Coq_Reals_Rpower_arcsinh_lt' 'h4/thm/divides/LT_PRIMES_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_inj_wd' 'h4/thm/string/EXPLODE_11_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_nlt_ge' 'h4/thm/integer/INT_NOT_LE_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_le_mono_l' 'h4/thm/arithmetic/LE_ADD_LCANCEL_'
0. 'coq/Coq_PArith_BinPos_Pos_max_le_compat_r' 'h4/thm/extreal/le_radd_imp_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_phi' 'h4/thm/complex/RE_COMPLEX_OF_REAL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_nlt' 'h4/thm/HolSmt/r096_'
0. 'coq/Coq_Reals_Rpower_ln_mult'#@#variant 'h4/thm/transc/LN_MUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_0_discr' 'h4/thm/arithmetic/SUC_NOT_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_succ_r' 'h4/thm/arithmetic/ADD_CLAUSES_e3'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_lt_trans' 'h4/thm/integer/INT_LET_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_succ' 'h4/thm/numeral_bit/NUMERAL_iDIV2_2'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_compare_xI_xI' 'h4/thm/toto/num_dtOrd_e8'
0. 'coq/Coq_Arith_PeanoNat_Nat_eqb_eq' 'h4/thm/quote/compare_index_equal_'
0. 'coq/Coq_Arith_PeanoNat_Nat_setbit_spec_prime'#@#variant 'h4/thm/extreal/extreal_div_def_'
0. 'coq/Coq_Reals_RIneq_Rge_refl' 'h4/thm/extreal/le_refl_'
0. 'coq/Coq_Bool_Bool_negb_involutive_reverse' 'h4/thm/int_bitwise/int_not_not_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_not_add_l' 'h4/thm/realax/HREAL_LT_ADDR_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_rem_0_l' 'h4/thm/integer/INT_MOD0_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lt_irrefl' 'h4/thm/realax/REAL_LT_REFL_'
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_pos_r'#@#variant 'h4/thm/real/REAL_LE_RMUL_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sub_add_distr' 'h4/thm/arithmetic/EXP_EXP_MULT_'
0. 'coq/Coq_Reals_Raxioms_Rmult_lt_compat_l'#@#variant 'h4/thm/real/REAL_LE_LMUL_IMP_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_sin_gt_0'#@#variant 'h4/thm/transc/COS_POS_PI2_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_trichotomy' 'h4/thm/extreal/lt_total_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_0_r' 'h4/thm/arithmetic/LE_0'
0. 'coq/Coq_ZArith_BinInt_Z_ldiff_m1_r'#@#variant 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRL'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gt_lt_iff' 'h4/thm/real/real_gt_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ldiff_m1_l'#@#variant 'h4/thm/numeral/numeral_texp_help_0'
0. 'coq/Coq_ZArith_BinInt_Z_lnot_involutive' 'h4/thm/complex/CONJ_CONJ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_ldiff' 'h4/thm/real/REAL_SUB_LNEG_'
0. 'coq/Coq_ZArith_BinInt_Z_rem_mul' 'h4/thm/integer/INT_MOD_COMMON_FACTOR_'#@#variant
0. 'coq/Coq_PArith_Pnat_SuccNat2Pos_inj_iff' 'h4/thm/integer/INT_MOD_CALCULATE_3'
0. 'coq/Coq_ZArith_Zpower_two_p_S'#@#variant 'h4/thm/transc/LN_INV_'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_succ' 'h4/thm/rat/RAT_AINV_CALCULATE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_pos_nonneg'#@#variant 'h4/thm/util_prob/REAL_LE_LT_MUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_rem_opp_l_prime' 'h4/thm/arithmetic/PRE_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mod_same' 'h4/thm/integer/INT_MOD_ID_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_testbit_even_0'#@#variant 'h4/thm/toto/num_dtOrd_4'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_lteq' 'h4/thm/rat/rat_leq_def_'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_le_neq' 'h4/thm/arithmetic/LESS_CASES_IMP_'
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_le_mono' 'h4/thm/bit/TWOEXP_MONO_'#@#variant
0. 'coq/Coq_ZArith_Znat_Z2N_inj_quot2' 'h4/thm/quote/index_size_def_0'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lor_eq_0_iff' 'h4/thm/gcd/GCD_EQ_0_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_lub_lt_iff' 'h4/thm/arithmetic/MAX_LE_e1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_opp_r' 'h4/thm/complex/COMPLEX_SUB_RNEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_le_mono_l' 'h4/thm/arithmetic/LESS_MONO_MULT_'
0. 'coq/Coq_ZArith_Zpow_facts_Zpower_pos_1_r' 'h4/thm/complex/COMPLEX_SCALAR_RMUL_ONE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_null'#@#variant 'h4/thm/intExtension/INT_SGN_CLAUSES_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_refl' 'h4/thm/realax/TREAL_EQ_REFL_'#@#variant
0. 'coq/Coq_ZArith_Znat_positive_nat_Z' 'h4/thm/complex/complex_of_num_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ge_le_iff' 'h4/thm/rat/rat_geq_def_'
0. 'coq/Coq_Reals_Rtrigo1_PI_neq0' 'h4/thm/binary_ieee/float_value_distinct_e2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_opp_r' 'h4/thm/extreal/mul_rneg_'
0. 'coq/Coq_Arith_PeanoNat_Nat_nle_gt' 'h4/thm/real/real_lt_'
0. 'coq/Coq_FSets_FSetPositive_PositiveSet_union_spec' 'h4/thm/int_bitwise/int_bit_or_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_neq_0_succ' 'h4/thm/intto/BIT2_nz_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_1_l'#@#variant 'h4/thm/integer/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_trichotomy' 'h4/thm/arithmetic/LESS_LESS_CASES_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sub_diag' 'h4/thm/arithmetic/SUB_EQUAL_0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_1_mul_pos'#@#variant 'h4/thm/util_prob/REAL_LE_LT_MUL_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftl_mul_pow2'#@#variant 'h4/thm/extreal/extreal_div_def_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_involutive' 'h4/thm/int_bitwise/int_not_not_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftr_opp_r' 'h4/thm/integer/INT_SUB_CALCULATE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_rem_opp_l_prime' 'h4/thm/complex/COMPLEX_NEG_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_add_lt_sub_r' 'h4/thm/arithmetic/SUB_LEFT_GREATER_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_add_distr' 'h4/thm/frac/FRAC_SUB_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftr_opp_r' 'h4/thm/real/real_sub_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Ring31_Int31ring_add_assoc'#@#variant 'h4/thm/hrat/TRAT_ADD_ASSOC_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_total' 'h4/thm/integer/INT_LT_TOTAL_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_gt' 'h4/thm/int_arith/INT_NUM_DIVIDES_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_le_compat_r' 'h4/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_2' 'h4/thm/real/REAL_HALF_BETWEEN_e2'#@#variant
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_double'#@#variant 'h4/thm/complex/COMPLEX_OF_REAL_INV_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_pos'#@#variant 'h4/thm/binary_ieee/zero_le_twopow_'#@#variant
0. 'coq/Coq_Bool_Bool_diff_true_false' 'h4/thm/ieee/ccode_distinct_1'
0. 'coq/Coq_Reals_RIneq_double'#@#variant 'h4/thm/arithmetic/TIMES2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_0_l' 'h4/thm/extreal/sub_lzero_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_succ_r' 'h4/thm/rat/RAT_AINV_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pos_pred_spec' 'h4/thm/frac/frac_sgn_def_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_neq_0_succ' 'h4/thm/quote/index_distinct_e2'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_neq' 'h4/thm/real/REAL_LT_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_succ_r' 'h4/thm/frac/FRAC_AINV_RMUL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_1' 'h4/thm/real/REAL_HALF_BETWEEN_e2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_nlt_ge' 'h4/thm/extreal/extreal_lt_def_'
0. 'coq/Coq_Arith_Gt_gt_irrefl' 'h4/thm/realax/HREAL_LT_REFL_'
0. 'coq/Coq_NArith_BinNat_N_land_diag' 'h4/thm/arithmetic/MAX_IDEM_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_lt_mono_pos_l'#@#variant 'h4/thm/real/REAL_LT_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_succ_r' 'h4/thm/arithmetic/MULT_CLAUSES_e5'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_pred_lt_succ' 'h4/thm/bit/TWOEXP_LE_IMP_LE_LOG2_0'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_le_mono' 'h4/thm/bit/TWOEXP_MONO_'#@#variant
0. 'coq/Coq_Reals_ROrderedType_ROrder_le_antisym' 'h4/thm/rat/RAT_LEQ_ANTISYM_'
0. 'coq/Coq_ZArith_BinInt_Z_pow_lt_mono'#@#variant 'h4/thm/integer/INT_LT_MUL2_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lnot_0_l' 'h4/thm/numeral/texp_help_def_0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_add_le' 'h4/thm/real/ABS_TRIANGLE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_total' 'h4/thm/integer/INT_LT_TOTAL_'
0. 'coq/Coq_ZArith_Zorder_Zplus_lt_compat_r' 'h4/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_xI_succ_xO' 'h4/thm/numeral/numeral_pre_e4'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lor_diag' 'h4/thm/extreal/max_refl_'
0. 'coq/Coq_ZArith_BinInt_Z_le_max_r' 'h4/thm/hreal/HRAT_LT_ADDR_'
0. 'coq/Coq_NArith_BinNat_N_succ_lt_mono' 'h4/thm/arithmetic/LESS_MONO_EQ_'
0. 'coq/Coq_Reals_Rfunctions_R_dist_eq' 'h4/thm/arithmetic/ABS_DIFF_EQS_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_compare_eq_iff' 'h4/thm/quote/compare_index_equal_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_total' 'h4/thm/hreal/HRAT_LT_TOTAL_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_gt' 'h4/thm/string/char_ge_def_'
0. 'coq/Coq_Reals_Rpower_arcsinh_le' 'h4/thm/divides/LT_PRIMES_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_divide_mono_r' 'h4/thm/integer/TINT_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_fourier_Fourier_util_Rfourier_le'#@#variant 'h4/thm/arithmetic/EXP_BASE_LEQ_MONO_IMP_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_opp' 'h4/thm/numeral_bit/iDUB_NUMERAL_'
0. 'coq/Coq_Reals_Rfunctions_Rpow_mult_distr' 'h4/thm/complex/COMPLEX_ADD_RSCALAR_RMUL_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rnot_ge_gt' 'h4/thm/integer/INT_LTE_TOTAL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_negb_odd' 'h4/thm/numRing/num_ring_thms_e17'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pred_succ' 'h4/thm/string/IMPLODE_EXPLODE_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_succ_lt_mono' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Reals_RIneq_Rplus_gt_compat_r' 'h4/thm/integer/TINT_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_glb_lt_iff' 'h4/thm/integral/REAL_LT_MIN_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_1' 'h4/thm/integerRing/int_rewrites_tRRRRRRRRRRRRRL'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_le_mono' 'h4/thm/prim_rec/LESS_MONO_'
0. 'coq/Coq_ZArith_BinInt_Z_pred_lt_mono' 'h4/thm/numeral/numeral_lt_4'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_square_spec' 'h4/thm/real/REAL_DOUBLE_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mod_mul' 'h4/thm/integer/INT_MOD_COMMON_FACTOR_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_of_pos' 'h4/thm/hrat/hrat_sucint_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rgt_ge_trans' 'h4/thm/rat/RAT_LES_LEQ_TRANS_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_pred_le' 'h4/thm/arithmetic/OR_LESS_'
0. 'coq/Coq_ZArith_BinInt_Z_add_pred_r' 'h4/thm/real/REAL_NEG_RMUL_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_eq_cases' 'h4/thm/integer/INT_LE_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_pos_pos' 'h4/thm/binary_ieee/le2_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pos_pred_succ' 'h4/thm/extreal/real_normal_'
0. 'coq/Coq_ZArith_Znat_positive_nat_N' 'h4/thm/complex/complex_of_num_'#@#variant
0. 'coq/Coq_QArith_Qminmax_Q_min_le_compat_l' 'h4/thm/realax/REAL_LT_IADD_'
0. 'coq/Coq_Bool_Bool_diff_false_true' 'h4/thm/binary_ieee/rounding_distinct_4'
0. 'coq/Coq_ZArith_BinInt_Z_pred_inj_wd' 'h4/thm/rat/RAT_EQ_AINV_'
0. 'coq/Coq_ZArith_BinInt_Z_double_spec'#@#variant 'h4/thm/arithmetic/SUC_ONE_ADD_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div_1_r' 'h4/thm/integer/INT_ADD_RID_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_is_pos'#@#variant 'h4/thm/complex/MODU_POS_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div_1_r' 'h4/thm/HolSmt/r214_'
0. 'coq/Coq_ZArith_Znat_Zabs2N_inj_neg' 'h4/thm/rat/rat_nmr_def_'
0. 'coq/Coq_PArith_BinPos_Pos_succ_le_mono' 'h4/thm/transc/EXP_MONO_LE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_succ_diag_r' 'h4/thm/arithmetic/LESS_EQ_SUC_REFL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_eq_cases' 'h4/thm/real/REAL_LE_LT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_clearbit_spec_prime'#@#variant 'h4/thm/HolSmt/r224_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_quot_le_mono'#@#variant 'h4/thm/arithmetic/DIV_LE_MONOTONE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_le_mono' 'h4/thm/prim_rec/LESS_MONO_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_1' 'h4/thm/intExtension/INT_ABS_CALCULATE_0_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lcm_1_l'#@#variant 'h4/thm/HolSmt/r221_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_pred_succ' 'h4/thm/bit/LOG2_TWOEXP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_neq_succ_0' 'h4/thm/transc/EXP_NZ_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_div2' 'h4/thm/complex/COMPLEX_OF_REAL_NEG_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rle_min_compat_l' 'h4/thm/realax/TREAL_LT_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_id' 'h4/thm/real/REAL_MAX_REFL_'
0. 'coq/Coq_NArith_BinNat_N_le_antisymm' 'h4/thm/arithmetic/LESS_EQUAL_ANTISYM_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_irrefl' 'h4/thm/hreal/HRAT_LT_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_shuffle3' 'h4/thm/HolSmt/r086_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_lt_mono_nonneg'#@#variant 'h4/thm/real/REAL_LE_MUL2_'#@#variant
0. 'coq/Coq_Reals_RIneq_Ropp_mult_distr_r' 'h4/thm/complex/COMPLEX_NEG_RDIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_glb_iff' 'h4/thm/arithmetic/MIN_LE_e1'
0. 'coq/Coq_Reals_Rminmax_R_OT_le_lteq' 'h4/thm/extreal/le_lt_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sub_max_distr_l' 'h4/thm/transc/RPOW_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_pred_l' 'h4/thm/numpair/invtri_le_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_lt_lin'#@#variant 'h4/thm/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Bool_Bool_xorb_true_l' 'h4/thm/extreal/sub_lzero_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_succ_diag_r' 'h4/thm/numpair/tri_le_'
0. 'coq/Coq_NArith_BinNat_N_pow_1_r' 'h4/thm/HolSmt/r214_'
0. 'coq/Coq_ZArith_Zcomplements_Zlength_cons' 'h4/thm/list/LENGTH_e1'
0. 'coq/Coq_Reals_Rminmax_R_OT_le_lteq' 'h4/thm/integer/INT_LE_CALCULATE_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_divide_mul_l' 'h4/thm/integer/INT_DIVIDES_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_sub_lt_add_r' 'h4/thm/real/REAL_LE_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_mul_r' 'h4/thm/logroot/EXP_MUL_'
0. 'coq/Coq_Reals_RIneq_Rminus_0_l' 'h4/thm/extreal/sub_lzero_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_le_compat_r' 'h4/thm/hrat/TRAT_MUL_WELLDEFINED_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qplus_inj_r' 'h4/thm/integer/INT_LT_RADD_'
0. 'coq/Coq_QArith_QArith_base_Qinv_mult_distr' 'h4/thm/real/ABS_TRIANGLE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_mul_r' 'h4/thm/integer/INT_DIVIDES_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_eq_0' 'h4/thm/arithmetic/ADD_EQ_0_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_ge' 'h4/thm/int_arith/INT_NUM_DIVIDES_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_l2i_i2l'#@#variant 'h4/thm/pred_set/pair_to_num_inv_0'#@#variant
0. 'coq/Coq_fourier_Fourier_util_Rfourier_le' 'h4/thm/arithmetic/EXP_BASE_LEQ_MONO_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_succ_l' 'h4/thm/arithmetic/PRE_SUB_'
0. 'coq/Coq_QArith_QOrderedType_QOrder_le_refl' 'h4/thm/extreal/le_refl_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_le_mono' 'h4/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rle_refl' 'h4/thm/hrat/TRAT_EQ_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pos_pred_succ' 'h4/thm/rat/RAT_'
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_Zabs' 'h4/thm/quote/index_size_def_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_lt_add_r' 'h4/thm/divides/DIVIDES_MULT_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_succ'#@#variant 'h4/thm/integer/int_of_num_e1'
0. 'coq/Coq_QArith_QArith_base_inject_Z_opp' 'h4/thm/extreal/extreal_sqrt_def_0'
0. 'coq/Coq_ZArith_BinInt_Z_max_le_compat_l' 'h4/thm/realax/REAL_LT_IADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_neq_0_succ' 'h4/thm/num/ZERO_REP_DEF_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_1_l' 'h4/thm/rat/RAT_ADD_LID_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_le_compat_l' 'h4/thm/realax/REAL_LT_IADD_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_eq_bool' 'h4/thm/toto/qk_numOrd_def_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_eq_0' 'h4/thm/integer/INT_ENTIRE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_eq_mul_1'#@#variant 'h4/thm/gcd/GCD_EQ_0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_lub_lt_iff' 'h4/thm/arithmetic/MAX_LE_e1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_le_mono_nonneg_r'#@#variant 'h4/thm/integral/REAL_LE_RMUL1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lcm_diag' 'h4/thm/extreal/max_refl_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_of_pos' 'h4/thm/rat/rat_dnm_def_'
0. 'coq/Coq_Arith_PeanoNat_Nat_min_le_compat_r' 'h4/thm/integer/TINT_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lcm_diag' 'h4/thm/numeral/iDUB_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_neq' 'h4/thm/prim_rec/LESS_NOT_EQ_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_ge' 'h4/thm/string/char_ge_def_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_pos'#@#variant 'h4/thm/real/REAL_LT_INV_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_divide_l' 'h4/thm/arithmetic/SUB_LESS_EQ_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_of_Z' 'h4/thm/ieee/float_tybij_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_inj_wd' 'h4/thm/prim_rec/INV_SUC_EQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mod_same' 'h4/thm/integer/INT_MOD_ID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_le_mono_r_iff' 'h4/thm/real/REAL_LE_LMUL_'
0. 'coq/Coq_Reals_RIneq_Rmult_le_0_lt_compat'#@#variant 'h4/thm/real/REAL_LE_MUL2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_le_mono_l' 'h4/thm/real/REAL_LE_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_clearbit_spec_prime'#@#variant 'h4/thm/integer/int_sub_'
0. 'coq/Coq_ZArith_Zorder_Zgt_pos_0' 'h4/thm/extreal/lt_infty_1'
0. 'coq/Coq_Reals_RIneq_Rle_le_eq' 'h4/thm/arithmetic/EQ_LESS_EQ_'
0. 'coq/Coq_ZArith_BinInt_Zopp_mult_distr_r' 'h4/thm/complex/COMPLEX_NEG_RMUL_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_sub_le_add_r' 'h4/thm/integer/INT_LE_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_add_le_sub_r' 'h4/thm/real/REAL_LT_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_nonneg_pos'#@#variant 'h4/thm/integer/INT_LET_ADD_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_glb_iff' 'h4/thm/extreal/le_min_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_phi' 'h4/thm/ieee/num2ccode_ccode2num_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_succ_l' 'h4/thm/arithmetic/PRE_SUB_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lcm_1_l' 'h4/thm/integer/INT_ADD_REDUCE_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_lt_mono' 'h4/thm/arithmetic/LESS_MONO_EQ_'
0. 'coq/Coq_ZArith_BinInt_Z_abs_pow' 'h4/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gt_lt_iff' 'h4/thm/real/real_gt_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_max_l' 'h4/thm/integer/INT_DIVIDES_MUL_0'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_succ_l' 'h4/thm/integer/INT_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_divide_l' 'h4/thm/extreal/min_le1_'
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_lcm_l' 'h4/thm/hreal/HRAT_LT_ADDL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_lt_mono_l' 'h4/thm/integer/INT_LE_LADD_'
0. 'coq/Coq_Arith_Gt_gt_irrefl' 'h4/thm/integer/INT_LT_REFL_'
0. 'coq/Coq_QArith_QArith_base_Qmult_lt_l'#@#variant 'h4/thm/arithmetic/EXP_BASE_LT_MONO_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_square' 'h4/thm/complex/COMPLEX_OF_REAL_INV_'#@#variant
0. 'coq/Coq_Reals_RIneq_cond_nonneg'#@#variant 'h4/thm/integer/INT_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_le_mono_nonneg_r'#@#variant 'h4/thm/real/REAL_LE_RMUL_IMP_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sub_1_r'#@#variant 'h4/thm/arithmetic/PRE_SUB1_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_OT_lt_total' 'h4/thm/integer/INT_LT_TOTAL_'
0. 'coq/Coq_NArith_BinNat_N_land_diag' 'h4/thm/real/REAL_MIN_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div_le_mono' 'h4/thm/arithmetic/DIV_LE_MONOTONE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_add_pos_r'#@#variant 'h4/thm/extreal/le_addr_imp_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sub_le_mono_r' 'h4/thm/integer/TINT_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Reals_Rtrigo_calc_sqrt2_neq_0'#@#variant 'h4/thm/binary_ieee/rounding_distinct_e5'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_succ' 'h4/thm/numRing/num_rewrites_tRRLRR'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_ge_le_iff' 'h4/thm/rat/rat_geq_def_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_lteq' 'h4/thm/integer/INT_LE_CALCULATE_'
0. 'coq/Coq_Arith_PeanoNat_Nat_neq_succ_0' 'h4/thm/quote/index_distinct_e2'
0. 'coq/Coq_Arith_PeanoNat_Nat_mod_1_r'#@#variant 'h4/thm/util_prob/logr_1_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_id' 'h4/thm/gcd/GCD_REF_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_succ_r' 'h4/thm/arithmetic/ADD_CLAUSES_e3'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_mod' 'h4/thm/integer/INT_REM_CALCULATE_0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_asymm' 'h4/thm/string/string_lt_antisym_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_lcm_l' 'h4/thm/integer/INT_DIVIDES_MUL_0'
0. 'coq/Coq_ZArith_Znat_Zabs2Nat_inj_lt'#@#variant 'h4/thm/float/FLOAT_GE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_cancel_l' 'h4/thm/real/REAL_EQ_LADD_'
0. 'coq/Coq_PArith_BinPos_Pos_add_le_mono_r' 'h4/thm/real/REAL_LE_SUB_CANCEL2_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_lub_lt_iff' 'h4/thm/arithmetic/MAX_LE_e1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_inj_wd' 'h4/thm/quote/index_11_e1'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_add_lt_sub_r' 'h4/thm/real/REAL_LE_SUB_LADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_le_iff' 'h4/thm/extreal/le_max_'
0. 'coq/Coq_Init_Peano_le_pred' 'h4/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_QArith_Qpower_Qpower_pos'#@#variant 'h4/thm/integral/REAL_POW_LE_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_succ_diag_r' 'h4/thm/numpair/tri_le_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_divide_mono_l' 'h4/thm/real/REAL_LT_IADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_antisym' 'h4/thm/arithmetic/LESS_EQUAL_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_le_mono_l' 'h4/thm/real/REAL_LE_LADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_1_l'#@#variant 'h4/thm/extreal/sub_lzero_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mod_opp_opp' 'h4/thm/real/ABS_DIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_asymm' 'h4/thm/realax/HREAL_LT_GT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_le_mono_r' 'h4/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_compare_succ' 'h4/thm/toto/numeralOrd_5'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_le_mono' 'h4/thm/numeral/numeral_lte_e6'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_succ_r' 'h4/thm/integer/INT_NEG_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_sub_le_add_r' 'h4/thm/integer/INT_LT_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_involutive' 'h4/thm/integer/INT_NEGNEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_le_mono_r_iff'#@#variant 'h4/thm/transc/RPOW_LE_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_pos'#@#variant 'h4/thm/numeral/numeral_distrib_33'
0. 'coq/Coq_ZArith_Zcomplements_floor_gt0' 'h4/thm/string/ORD_BOUND_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_irrefl' 'h4/thm/prim_rec/LESS_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mod_1_l'#@#variant 'h4/thm/arithmetic/ONE_MOD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_setbit_spec_prime'#@#variant 'h4/thm/complex/COMPLEX_SUB_RNEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_nonneg_nonneg' 'h4/thm/arithmetic/LESS_MULT2_'
0. 'coq/Coq_Reals_Rtrigo1_PI_neq0' 'h4/thm/binary_ieee/float_compare_distinct_1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_pred_l' 'h4/thm/frac/FRAC_AINV_LMUL_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_iff' 'h4/thm/integer/INT_INJ_'
0. 'coq/Coq_Lists_Streams_EqSt_reflex' 'h4/thm/sorting/PERM_SINGLE_SWAP_REFL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_lcm_l' 'h4/thm/hreal/HRAT_LT_ADDL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_neq_succ_0' 'h4/thm/num/ZERO_REP_DEF_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_mod' 'h4/thm/integer/INT_MOD_PLUS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_1_l' 'h4/thm/integral/LE_0_'
0. 'coq/Coq_PArith_BinPos_Pos_add_cancel_l' 'h4/thm/hreal/HRAT_EQ_LMUL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_le_lin'#@#variant 'h4/thm/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_gt' 'h4/thm/realax/REAL_ISO_EQ_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_opp_r' 'h4/thm/extreal/extreal_sub_add_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftl_eq_0_iff'#@#variant 'h4/thm/binary_ieee/div_eq0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_nonneg_nonneg' 'h4/thm/integer/TINT_LT_MUL_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_id' 'h4/thm/binary_ieee/num2float_compare_float_compare2num_'
0. 'coq/Coq_NArith_BinNat_N_add_pos_nonneg'#@#variant 'h4/thm/extreal/let_mul_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_lt_le_mono' 'h4/thm/integer/INT_LTE_ADD2_'
0. 'coq/Coq_Init_Peano_plus_Sn_m' 'h4/thm/real/REAL_MUL_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_le_incl' 'h4/thm/integer/INT_LT_IMP_LE_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_cancel_r' 'h4/thm/arithmetic/EQ_ADD_RCANCEL_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_id' 'h4/thm/pred_set/pair_to_num_inv_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_nge' 'h4/thm/HolSmt/r096_'
0. 'coq/Coq_ZArith_Zeven_Zquot2_quot'#@#variant 'h4/thm/arithmetic/PRE_SUB1_'#@#variant
0. 'coq/Coq_Reals_Ratan_atan_increasing' 'h4/thm/hrat/TRAT_INV_WELLDEFINED_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_le_compat_r' 'h4/thm/integer/TINT_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_le_add_r' 'h4/thm/arithmetic/LESS_EQ_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_even_1' 'h4/thm/float/FLOAT_INFINITIES_SIGNED_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_ge_cases' 'h4/thm/real/REAL_LTE_TOTAL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_0_iff' 'h4/thm/real/ABS_ZERO_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_le_mono_r' 'h4/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_QArith_Qcanon_Qcnot_le_lt' 'h4/thm/real/REAL_LTE_TOTAL_'
0. 'coq/Coq_Reals_Rminmax_R_le_max_r' 'h4/thm/real/REAL_LE_MAX2_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_quot2' 'h4/thm/quote/index_size_def_0'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_lcm_r' 'h4/thm/hreal/HRAT_LT_ADDR_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pred_succ' 'h4/thm/numeral_bit/NUMERAL_iDIV2_2'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_0_discr' 'h4/thm/intto/BIT1_nz_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_lcm_l' 'h4/thm/realax/HREAL_LT_ADDL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_glb_lt_iff' 'h4/thm/arithmetic/MIN_LT_e1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_pred_r' 'h4/thm/extreal/mul_rneg_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sub_diag' 'h4/thm/integer/INT_SUB_REFL_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_lt_mono_l_iff' 'h4/thm/int_arith/INT_DIVIDES_LRMUL_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_irrefl' 'h4/thm/hreal/HRAT_LT_REFL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_lt_mono_l' 'h4/thm/rat/RAT_LES_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_eq_cases' 'h4/thm/rat/rat_leq_def_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_succ_lt_mono' 'h4/thm/numeral/numeral_lte_e6'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_divide_mono_r' 'h4/thm/hrat/TRAT_ADD_WELLDEFINED_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_lt_nle' 'h4/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_opp_l' 'h4/thm/complex/COMPLEX_NEG_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_lt_mono' 'h4/thm/transc/EXP_MONO_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_setbit_spec_prime'#@#variant 'h4/thm/extreal/extreal_div_def_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_pred_l' 'h4/thm/numpair/nfst_le_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_eq_le_incl' 'h4/thm/realax/TREAL_EQ_AP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_lt_mono_r' 'h4/thm/hreal/HRAT_LT_RMUL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_inj_wd' 'h4/thm/complex/COMPLEX_INV_INJ_'#@#variant
0. 'coq/Coq_ZArith_Zpower_two_power_nat_S'#@#variant 'h4/thm/quote/index_size_def_1'#@#variant
0. 'coq/Coq_NArith_BinNat_N_double_inj' 'h4/thm/divides/PRIMES_11_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_shuffle3' 'h4/thm/float/REAL_MUL_AC_e2'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_sub_l' 'h4/thm/arithmetic/SUB_LESS_EQ_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_pred_sub' 'h4/thm/arithmetic/DIV2_def_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sub_cancel_l' 'h4/thm/complex/COMPLEX_EQ_LADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_total' 'h4/thm/arithmetic/LESS_CASES_IMP_'
0. 'coq/Coq_ZArith_BinInt_Z_add_simpl_l' 'h4/thm/float/ADD_SUB2_'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_double'#@#variant 'h4/thm/transc/LN_INV_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_gcd_comm' 'h4/thm/hrat/TRAT_ADD_SYM_'#@#variant
0. 'coq/Coq_Reals_ROrderedType_ROrder_not_ge_lt' 'h4/thm/real/REAL_LET_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_Odd_succ' 'h4/thm/binary_ieee/exp_gt2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_le_mono' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_le_compat_l' 'h4/thm/integer/INT_LT_LADD_IMP_'
0. 'coq/Coq_Init_Peano_le_n_S' 'h4/thm/real/REAL_POS_MONO_'
0. 'coq/Coq_PArith_Pnat_SuccNat2Pos_inj_iff' 'h4/thm/integerRing/int_calculate_8'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_antisym' 'h4/thm/rat/RAT_LEQ_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_divide_iff' 'h4/thm/arithmetic/MIN_LT_e1'
0. 'coq/Coq_Reals_RIneq_Rgt_ge_trans' 'h4/thm/extreal/lte_trans_'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_lt_le' 'h4/thm/real/REAL_LT_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_inj_wd' 'h4/thm/string/EXPLODE_11_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_lt_le_trans' 'h4/thm/real/REAL_LTE_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_opp_r' 'h4/thm/frac/frac_sub_def_'
0. 'coq/Coq_Reals_Rfunctions_pow_add' 'h4/thm/complex/COMPLEX_RSCALAR_RMUL_SUB_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_inj_wd' 'h4/thm/real/REAL_INV_INJ_'
0. 'coq/Coq_Arith_Plus_plus_lt_compat_l' 'h4/thm/realax/TREAL_LT_ADD_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_le_add_r' 'h4/thm/real/REAL_LE_MAX1_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_neg'#@#variant 'h4/thm/numeral/numeral_distrib_24'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_le_mono_pos_l'#@#variant 'h4/thm/transc/RPOW_LE_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_succ_l' 'h4/thm/integer/INT_NEG_LMUL_'
0. 'coq/Coq_ZArith_BinInt_Z2Pos_inj_sqrt' 'h4/thm/complex/COMPLEX_OF_REAL_NEG_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_trichotomy' 'h4/thm/hreal/HRAT_LT_TOTAL_'
0. 'coq/Coq_PArith_BinPos_Pos_pred_of_succ_nat' 'h4/thm/numRing/num_ring_thms_e17'#@#variant
0. 'coq/Coq_NArith_BinNat_N_log2_up_nonneg' 'h4/thm/divides/ZERO_LT_PRIMES_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_ge_cases' 'h4/thm/integer/INT_LET_TOTAL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_add_pos_r'#@#variant 'h4/thm/extreal/le_addr_imp_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_lt_iff' 'h4/thm/arithmetic/MAX_LT_0'
0. 'coq/Coq_Reals_Rpower_exp_le_3'#@#variant 'h4/thm/real/REAL_HALF_BETWEEN_e2'#@#variant
0. 'coq/Coq_QArith_Qminmax_Q_min_assoc' 'h4/thm/hrat/TRAT_MUL_ASSOC_'#@#variant
0. 'coq/Coq_Reals_Rfunctions_pow_lt'#@#variant 'h4/thm/extreal/pow_pos_le_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftr_div_pow2'#@#variant 'h4/thm/real/REAL_SUB_RNEG_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_divide_mono_l' 'h4/thm/real/REAL_LT_IADD_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_ge' 'h4/thm/realax/REAL_ISO_EQ_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_succ_l' 'h4/thm/complex/COMPLEX_MUL_LNEG_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_le_alt_dichotomy' 'h4/thm/real/REAL_LE_TOTAL_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_le_mono' 'h4/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_opp_r' 'h4/thm/rat/RAT_DIV_MULMINV_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_gt_lt_iff' 'h4/thm/arithmetic/GREATER_EQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_nonneg_nonneg' 'h4/thm/binary_ieee/le2_'#@#variant
0. 'coq/Coq_Reals_R_Ifp_Int_part_INR' 'h4/thm/ieee/Exponent_'#@#variant
0. 'coq/Coq_ZArith_Znat_nat_N_Z' 'h4/thm/complex/complex_of_num_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_opp_r' 'h4/thm/extreal/sub_rneg_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_lcm_l' 'h4/thm/realax/HREAL_LT_ADDL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_lt_iff' 'h4/thm/extreal/min_le_'
0. 'coq/Coq_NArith_BinNat_N_pow_lt_mono_r_iff'#@#variant 'h4/thm/rat/RAT_LES_LMUL_POS_'#@#variant
0. 'coq/Coq_ZArith_Znat_Z2N_inj_neg' 'h4/thm/DeepSyntax/deep_form_size_def_6'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_le_mono_r' 'h4/thm/hreal/HRAT_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_nonneg' 'h4/thm/prim_rec/LESS_0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_1_l'#@#variant 'h4/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_Reals_Rtrigo_calc_Rlt_3PI2_2PI'#@#variant 'h4/thm/transc/COS_2_'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qcopp_involutive' 'h4/thm/rat/RAT_AINV_AINV_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_pos_le' 'h4/thm/divides/DIVIDES_LE_'
0. 'coq/Coq_PArith_BinPos_Pos_mul_lt_mono_l' 'h4/thm/arithmetic/LE_ADD_LCANCEL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_total' 'h4/thm/arithmetic/LESS_LESS_CASES_'
0. 'coq/Coq_NArith_BinNat_N_pos_pred_spec' 'h4/thm/ratRing/rat_ring_thms_e17'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_pred_succ' 'h4/thm/string/IMPLODE_EXPLODE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_le_mono' 'h4/thm/bit/TWOEXP_MONO2_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lt_irrefl' 'h4/thm/integer/TINT_LT_REFL_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pos_pred_succ' 'h4/thm/frac/frac_bij_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_nlt_ge' 'h4/thm/rat/RAT_LEQ_LES_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sub_lt' 'h4/thm/arithmetic/SUB_LESS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_neq' 'h4/thm/real/REAL_LT_LE_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_even' 'h4/thm/complex/complex_of_num_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_asymm' 'h4/thm/integer/INT_LT_GT_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_1_r' 'h4/thm/HolSmt/r127_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_add_pos_r'#@#variant 'h4/thm/extreal/le_addr_imp_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_ldiff_diag' 'h4/thm/integer/INT_SUB_REFL_'#@#variant
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_phi' 'h4/thm/extreal/real_normal_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_setbit_spec_prime'#@#variant 'h4/thm/integer/INT_SUB_RNEG_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_pos_l'#@#variant 'h4/thm/integer/INT_LE_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_r' 'h4/thm/real/REAL_MIN_ALT_e1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_1_l'#@#variant 'h4/thm/integral/LE_0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_neg_neg'#@#variant 'h4/thm/extreal/lt_mul_neg_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_id' 'h4/thm/arithmetic/MAX_IDEM_'
0. 'coq/Coq_Bool_Bool_diff_true_false' 'h4/thm/binary_ieee/float_compare_distinct_1'
0. 'coq/Coq_Arith_Plus_le_plus_l' 'h4/thm/extreal/le_max1_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_le_mono_r' 'h4/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_antisym' 'h4/thm/rat/RAT_LEQ_ANTISYM_'
0. 'coq/Coq_PArith_BinPos_Pos_le_nlt' 'h4/thm/rat/RAT_LES_LEQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_le_mono' 'h4/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_lt_cancel' 'h4/thm/arithmetic/LESS_MONO_REV_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_abs_r' 'h4/thm/integer/INT_DIVIDES_NEG_0'
0. 'coq/Coq_ZArith_Zorder_Zplus_gt_compat_l' 'h4/thm/extreal/le_ladd_imp_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_1_r' 'h4/thm/arithmetic/PRE_SUB1_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_even' 'h4/thm/rat/rat_dnm_def_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_min_l' 'h4/thm/arithmetic/SUB_LESS_EQ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_move_0_r' 'h4/thm/rat/RAT_EQ_SUB0_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_lt_mono_pos_l'#@#variant 'h4/thm/logroot/LE_EXP_ISO_'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_gt' 'h4/thm/extreal/extreal_le_def_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_le_mono_r' 'h4/thm/integer/INT_LT_RADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sub_1_r'#@#variant 'h4/thm/arithmetic/PRE_SUB1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_divide_mono_r' 'h4/thm/integer/TINT_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Reals_Raxioms_R1_neq_R0' 'h4/thm/binary_ieee/rounding_distinct_0'
0. 'coq/Coq_omega_OmegaLemmas_Zred_factor0' 'h4/thm/rat/RAT_SUB_RID_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_le_mono' 'h4/thm/prim_rec/LESS_MONO_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_le_iff' 'h4/thm/arithmetic/MAX_LT_0'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_gcd_divide_l' 'h4/thm/arithmetic/SUB_LESS_EQ_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_square_spec' 'h4/thm/real/REAL_DOUBLE_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_clearbit_spec_prime'#@#variant 'h4/thm/frac/frac_sub_def_'
0. 'coq/Coq_Arith_Mult_mult_lt_compat_l'#@#variant 'h4/thm/integral/REAL_LE_LMUL1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_le_mono_l' 'h4/thm/arithmetic/LT_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_trichotomy' 'h4/thm/integer/INT_LT_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div_mul' 'h4/thm/integer/INT_DIV_RMUL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_add_lt_sub_r' 'h4/thm/real/REAL_LE_SUB_LADD_'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_iff' 'h4/thm/toto/cpn2num_11_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_cancel_l' 'h4/thm/integer/INT_EQ_LMUL2_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_le_mono' 'h4/thm/hrat/TRAT_INV_WELLDEFINED_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sub_le_mono_r' 'h4/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_eq_0' 'h4/thm/extreal/entire_'#@#variant
0. 'coq/Coq_QArith_Qminmax_Q_min_glb_lt' 'h4/thm/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Arith_Even_even_mult_aux/0' 'h4/thm/arithmetic/ZERO_LESS_MULT_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_1_l' 'h4/thm/integer/INT_DIVIDES_1_0'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_ldiff_land' 'h4/thm/real/real_div_'
0. 'coq/Coq_Arith_Plus_plus_lt_compat_r' 'h4/thm/arithmetic/LESS_MONO_MULT_'
0. 'coq/Coq_NArith_BinNat_N_eq_le_incl' 'h4/thm/integer/TINT_EQ_AP_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_succ_le_mono' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_eq_cases' 'h4/thm/real/REAL_LE_LT_'
0. 'coq/Coq_Reals_Rminmax_R_le_min_l' 'h4/thm/real/REAL_MIN_LE1_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_involutive' 'h4/thm/integerRing/int_rewrites_tLRRRRRRRRRRRRL'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_lteq' 'h4/thm/integer/INT_LE_LT_'
0. 'coq/Coq_Reals_RIneq_Rplus_le_compat_l' 'h4/thm/real/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_id' 'h4/thm/arithmetic/MAX_IDEM_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_pred_of_succ_nat' 'h4/thm/integerRing/int_ring_thms_e17'#@#variant
0. 'coq/Coq_Reals_Rsqrt_def_pow_2_n_neq_R0' 'h4/thm/binary_ieee/zero_neq_twopow_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_add_distr' 'h4/thm/arithmetic/SUB_RIGHT_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_eq_mul_0' 'h4/thm/integer/INT_ENTIRE_'#@#variant
0. 'coq/Coq_Lists_List_app_assoc_reverse' 'h4/thm/llist/LAPPEND_ASSOC_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_pos_l'#@#variant 'h4/thm/integer/INT_LE_MONO_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_lt_mono_r' 'h4/thm/rat/RAT_LES_RADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_pos'#@#variant 'h4/thm/transc/LN_POS_'#@#variant
0. 'coq/Coq_QArith_QOrderedType_QOrder_le_lt_trans' 'h4/thm/extreal/let_trans_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_lcm_r' 'h4/thm/real/REAL_LE_MAX2_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_cancel_l' 'h4/thm/rat/RAT_LES_LADD_'
0. 'coq/Coq_Reals_ROrderedType_ROrder_lt_irrefl' 'h4/thm/prim_rec/LESS_REFL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_0_sub'#@#variant 'h4/thm/integer/INT_SUB_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_succ_le_mono' 'h4/thm/numeral/numeral_lt_3'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_id' 'h4/thm/num/num_ISO_DEF_0'
0. 'coq/Coq_ZArith_Zorder_Zsucc_lt_compat' 'h4/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gt_lt_iff' 'h4/thm/integer/INT_GE_CALCULATE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_add_lt_sub_r' 'h4/thm/arithmetic/SUB_LEFT_LESS_'
0. 'coq/Coq_QArith_QArith_base_Qmult_le_l'#@#variant 'h4/thm/logroot/LE_EXP_ISO_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_le_mono' 'h4/thm/transc/EXP_MONO_LE_'
0. 'coq/Coq_QArith_QArith_base_Qplus_lt_l' 'h4/thm/rat/RAT_LES_RADD_'
0. 'coq/Coq_Lists_List_length_zero_iff_nil' 'h4/thm/quantHeuristics/LIST_LENGTH_2_29'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_irrefl' 'h4/thm/hreal/HRAT_LT_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_neq' 'h4/thm/rat/RAT_LES_IMP_NEQ_'
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_Zabs' 'h4/thm/DeepSyntax/deep_form_size_def_2'#@#variant
0. 'coq/Coq_QArith_Qround_Zdiv_Qdiv' 'h4/thm/integer/int_mul_'#@#variant
0. 'coq/Coq_ZArith_Zlogarithm_log_near_correct1'#@#variant 'h4/thm/extreal/le_num_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zmult_lt_compat_r'#@#variant 'h4/thm/real/REAL_LE_RMUL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_lt_add_r' 'h4/thm/divides/DIVIDES_MULT_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_le_mono_r' 'h4/thm/hreal/HRAT_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_clearbit_spec_prime'#@#variant 'h4/thm/integer/int_sub_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_total' 'h4/thm/hreal/HREAL_LT_TOTAL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftl_opp_r' 'h4/thm/extreal/extreal_sub_add_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_sqrt' 'h4/thm/rat/RAT_AINV_CALCULATE_'
0. 'coq/Coq_ZArith_Zorder_Zsucc_le_reg' 'h4/thm/arithmetic/LESS_MONO_REV_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_le_mono' 'h4/thm/transc/EXP_MONO_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_le_compat_l' 'h4/thm/realax/REAL_LT_IADD_'
0. 'coq/__constr_Coq_Lists_List_ForallOrdPairs_0_1' 'h4/thm/sorting/SORTED_NIL_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_eq_0' 'h4/thm/intExtension/INT_NO_ZERODIV_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pos_pred_succ' 'h4/thm/num/num_ISO_DEF_0'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_le_compat_l' 'h4/thm/real/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_double_mul' 'h4/thm/rat/RAT_AINV_LMUL_'
0. 'coq/Coq_NArith_BinNat_N_sub_lt' 'h4/thm/arithmetic/SUB_LESS_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_nonneg_l'#@#variant 'h4/thm/arithmetic/EXP_BASE_LEQ_MONO_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_neq' 'h4/thm/prim_rec/LESS_NOT_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_pred' 'h4/thm/transc/LN_EXP_'
0. 'coq/Coq_MMaps_MMapPositive_PositiveMap_E_bits_lt_antirefl' 'h4/thm/realax/REAL_LT_REFL_'
0. 'coq/Coq_ZArith_Zeven_Zeven_not_Zodd' 'h4/thm/float/FLOAT_DISTINCT_7'
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_refl' 'h4/thm/poly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_lt_mono' 'h4/thm/arithmetic/LESS_MONO_EQ_'
0. 'coq/Coq_Init_Peano_min_l' 'h4/thm/arithmetic/LESS_MOD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_even_1' 'h4/thm/ieee/Plus_infinity_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_invc' 'h4/thm/complex/COMPLEX_OF_REAL_INV_'#@#variant
0. 'coq/Coq_ZArith_Zpower_two_p_correct'#@#variant 'h4/thm/integer/INT_NEG_MINUS1_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_le_mono_r_iff'#@#variant 'h4/thm/integer/INT_LE_MONO_'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_ge' 'h4/thm/extreal/extreal_le_def_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_le_mono' 'h4/thm/real/REAL_POS_MONO_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_lt_mono' 'h4/thm/numeral/numeral_lt_4'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_gt_cases' 'h4/thm/real/REAL_LET_TOTAL_'
0. 'coq/Coq_NArith_BinNat_N_neq_0_succ' 'h4/thm/arithmetic/SUC_NOT_'
0. 'coq/Coq_QArith_QArith_base_Qlt_not_le' 'h4/thm/integer/INT_LET_ANTISYM_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_1_mul_pos'#@#variant 'h4/thm/extreal/lte_add_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Zpos_eq_iff' 'h4/thm/binary_ieee/rounding_EQ_rounding_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_eq_iff'#@#variant 'h4/thm/extreal/abs_refl_'#@#variant
0. 'coq/Coq_ZArith_Znat_Z2N_inj_le'#@#variant 'h4/thm/float/FLOAT_LT_'
0. 'coq/Coq_Init_Peano_le_pred' 'h4/thm/integer/TINT_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_min_distr' 'h4/thm/hrat/TRAT_LDISTRIB_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_nonneg' 'h4/thm/divides/ZERO_LT_PRIMES_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_refl' 'h4/thm/integer/INT_DIVIDES_REFL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_assoc' 'h4/thm/hrat/TRAT_ADD_ASSOC_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_irrefl' 'h4/thm/realax/HREAL_LT_REFL_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_lt_m1_0' 'h4/thm/real/REAL_THIRDS_BETWEEN_2'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_lub' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_e2'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_lt_mono_l' 'h4/thm/real/REAL_LT_LADD_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigN_BigZ_spec_Z_of_N' 'h4/thm/hrat/hrat_sucint_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qmult_lt_r'#@#variant 'h4/thm/logroot/EXP_LT_ISO_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lt_0_sub' 'h4/thm/arithmetic/SUB_LESS_0_'
0. 'coq/Coq_PArith_BinPos_Pos_add_1_l' 'h4/thm/extreal/sub_lzero_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_succ_inj_wd' 'h4/thm/integral/EQ_SUC_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_pred_r' 'h4/thm/arithmetic/ADD_CLAUSES_e3'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_div2_double'#@#variant 'h4/thm/transc/ATN_e2'
0. 'coq/Coq_NArith_BinNat_N_min_glb_lt_iff' 'h4/thm/integral/REAL_LT_MIN_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_quot_le_mono'#@#variant 'h4/thm/real/REAL_LE_RMUL_IMP_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_pos_cancel_r'#@#variant 'h4/thm/real/REAL_LT_RMUL_0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_0_l' 'h4/thm/util_prob/lg_def_'#@#variant
0. 'coq/Coq_PArith_Pnat_SuccNat2Pos_inj_iff' 'h4/thm/complex/COMPLEX_OF_REAL_EQ_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rmax_Rle' 'h4/thm/util_prob/X_LE_MAX_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gt_lt_iff' 'h4/thm/integer/int_gt_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_setbit_spec_prime'#@#variant 'h4/thm/complex/complex_div_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div_le_mono' 'h4/thm/arithmetic/DIV_LE_MONOTONE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_refl' 'h4/thm/integer/TINT_EQ_REFL_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_ltb_lt' 'h4/thm/quote/index_lt_def_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_pos_l'#@#variant 'h4/thm/integer/INT_LT_MONO_'#@#variant
0. 'coq/Coq_QArith_Qminmax_Q_max_le_compat_r' 'h4/thm/arithmetic/LESS_MONO_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_nonneg'#@#variant 'h4/thm/real/REAL_NEG_GT0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_inj' 'h4/thm/num/INV_SUC_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_eq_0' 'h4/thm/arithmetic/MULT_EQ_1_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zgt_irrefl' 'h4/thm/realax/REAL_LT_REFL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_ge_le_iff' 'h4/thm/pred_set/COUNT_applied_'
0. 'coq/Coq_PArith_BinPos_Pos_lt_irrefl' 'h4/thm/realax/HREAL_LT_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_lt_mono_pos_l'#@#variant 'h4/thm/logroot/LT_EXP_ISO_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_1'#@#variant 'h4/thm/transc/PI_POS_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_setbit_spec_prime'#@#variant 'h4/thm/integer/INT_SUB_RNEG_'
0. 'coq/Coq_Bool_Bool_diff_true_false' 'h4/thm/binary_ieee/rounding_distinct_2'
0. 'coq/Coq_Reals_Rtrigo_calc_sqrt2_neq_0'#@#variant 'h4/thm/real/REAL_10_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_divide_lcm_r' 'h4/thm/integer/INT_DIVIDES_MUL_e1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_eq'#@#variant 'h4/thm/real/REAL_POS_ID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_0_r' 'h4/thm/divides/DIVIDES_ONE_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_succ' 'h4/thm/DeepSyntax/deep_form_size_def_2'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_neq_0_lt_0'#@#variant 'h4/thm/arithmetic/NOT_ZERO_LT_ZERO_'#@#variant
0. 'coq/Coq_Strings_Ascii_ascii_nat_embedding' 'h4/thm/prelim/num2ordering_ordering2num_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_pos_neg'#@#variant 'h4/thm/real/REAL_NEG_GE0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_le_mono_l' 'h4/thm/rat/RAT_LES_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_le_compat_l' 'h4/thm/extreal/le_ladd_imp_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_le_mono_l' 'h4/thm/hreal/HRAT_LT_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_nlt_ge' 'h4/thm/HolSmt/r115_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sub_le_mono_r' 'h4/thm/integer/TINT_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_factor_l' 'h4/thm/integer/INT_DIVIDES_MUL_0'
0. 'coq/Coq_NArith_BinNat_N_succ_lt_mono' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Reals_Rfunctions_pow_incr'#@#variant 'h4/thm/extreal/pow_le_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mod_opp_opp' 'h4/thm/real/ABS_DIV_'#@#variant
0. 'coq/Coq_Reals_Rtrigo_calc_deg_rad' 'h4/thm/transc/LN_EXP_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_lt_trans' 'h4/thm/arithmetic/LESS_EQ_LESS_TRANS_'
0. 'coq/Coq_Arith_PeanoNat_Nat_clearbit_spec_prime'#@#variant 'h4/thm/complex/complex_div_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_add_le_sub_r' 'h4/thm/integer/INT_LE_SUB_LADD_'
0. 'coq/Coq_ZArith_BinInt_Z_add_succ_r' 'h4/thm/real/REAL_NEG_RMUL_'
0. 'coq/Coq_NArith_BinNat_N_lcm_1_r' 'h4/thm/HolSmt/r223_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_1_l'#@#variant 'h4/thm/numeral/texp_help_def_0'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_max_l' 'h4/thm/extreal/le_max1_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_add_0_l' 'h4/thm/realax/TREAL_ADD_LID_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_sub_add_distr' 'h4/thm/arithmetic/EXP_EXP_MULT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_nge' 'h4/thm/extreal/extreal_lt_def_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_ngt' 'h4/thm/real/real_lte_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_opp_r' 'h4/thm/complex/COMPLEX_SUB_RNEG_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_shiftl_1_l'#@#variant 'h4/thm/util_prob/lg_def_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_succ_l' 'h4/thm/rat/RAT_AINV_LMUL_'
0. 'coq/Coq_ZArith_Zgcd_alt_fibonacci_pos'#@#variant 'h4/thm/frac/FRAC_DNMPOS_'#@#variant
0. 'coq/Coq_Lists_List_Exists_cons' 'h4/thm/llist/exists_thm_e1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_lteq' 'h4/thm/integer/INT_LE_LT_'
0. 'coq/Coq_PArith_BinPos_Pos_add_succ_l' 'h4/thm/complex/COMPLEX_MUL_LNEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_factor_l' 'h4/thm/arithmetic/LESS_EQ_ADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_lt_mono' 'h4/thm/numeral/numeral_lte_e6'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_add_diag_r' 'h4/thm/arithmetic/LESS_EQ_ADD_'
0. 'coq/Coq_NArith_BinNat_N_ge_le_iff' 'h4/thm/integer/int_gt_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_rem' 'h4/thm/integer/INT_MOD_SUB_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_iff' 'h4/thm/complex/COMPLEX_OF_REAL_EQ_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_pow_0_r'#@#variant 'h4/thm/arithmetic/MOD_ONE_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_triang_inv' 'h4/thm/real/REAL_SUB_ABS_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lxor_nilpotent' 'h4/thm/rat/RAT_SUB_ID_'#@#variant
0. 'coq/Coq_QArith_QOrderedType_QOrder_eq_lt' 'h4/thm/real/REAL_LET_TRANS_'
0. 'coq/Coq_ZArith_Zorder_Zle_not_lt' 'h4/thm/integer/INT_LET_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_glb' 'h4/thm/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lt_irrefl' 'h4/thm/string/string_lt_nonrefl_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_1_r' 'h4/thm/real/REAL_MUL_RZERO_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_total' 'h4/thm/arithmetic/LESS_LESS_CASES_'
0. 'coq/Coq_ZArith_BinInt_Z_div_1_r' 'h4/thm/HolSmt/r127_'
0. 'coq/Coq_Reals_Rsqrt_def_pow_2_n_neq_R0' 'h4/thm/extreal/num_not_infty_0'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_succ' 'h4/thm/extreal/extreal_sqrt_def_0'
0. 'coq/Coq_ZArith_BinInt_Z_mul_lt_mono_pos_r'#@#variant 'h4/thm/intExtension/INT_LT_RMUL_EXP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_compare_xI_xI' 'h4/thm/toto/numeralOrd_5'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lxor_m1_l'#@#variant 'h4/thm/integer/INT_SUB_REDUCE_1'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_le_mono' 'h4/thm/divides/LT_PRIMES_'
0. 'coq/Coq_Reals_Rfunctions_pow_le'#@#variant 'h4/thm/real/POW_POS_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_nonneg_nonneg' 'h4/thm/realax/REAL_LT_MUL_'
0. 'coq/Coq_ZArith_Znat_positive_N_nat' 'h4/thm/ieee/Exponent_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lnot_lxor_r' 'h4/thm/rat/RAT_AINV_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_xI_succ_xO' 'h4/thm/numRing/num_rewrites_tLRLRR'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_add_r' 'h4/thm/transc/RPOW_SUB_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_lor' 'h4/thm/transc/EXP_SUB_'
0. 'coq/Coq_Reals_Rfunctions_R_dist_refl' 'h4/thm/integer/INT_SUB_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_le_mono' 'h4/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Reals_Rfunctions_pow_O' 'h4/thm/integer/int_exp_0'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_pred_le_mono' 'h4/thm/integerRing/int_rewrites_tLRRRLRRR'
0. 'coq/Coq_ZArith_BinInt_Z_divide_mul_l' 'h4/thm/integer/INT_DIVIDES_LMUL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div2_spec'#@#variant 'h4/thm/arithmetic/ADD1_'#@#variant
0. 'coq/Coq_Reals_Ratan_atan_opp' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRL'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_l' 'h4/thm/real/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_2' 'h4/thm/transc/COS_2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_divide_xO_xO' 'h4/thm/numeral/numeral_lt_4'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div_str_pos'#@#variant 'h4/thm/bit/DIV_GT0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_null_iff' 'h4/thm/extreal/neg_eq0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_ge_cases' 'h4/thm/real/REAL_LTE_TOTAL_'
0. 'coq/Coq_NArith_BinNat_N_lt_add_lt_sub_r' 'h4/thm/integer/INT_LT_SUB_RADD_'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_div2' 'h4/thm/extreal/extreal_ainv_def_e2'
0. 'coq/Coq_Lists_List_length_zero_iff_nil' 'h4/thm/quantHeuristics/LIST_LENGTH_10_140'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_1' 'h4/thm/transc/COS_2_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sub_add_distr' 'h4/thm/logroot/EXP_MUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_lt_mono' 'h4/thm/numeral/numeral_lte_e6'
0. 'coq/Coq_NArith_BinNat_N_add_lt_mono_l' 'h4/thm/integer/INT_LE_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lcm_1_l'#@#variant 'h4/thm/rat/RAT_SUB_LID_'#@#variant
0. 'coq/Coq_Reals_Ratan_Ropp_div' 'h4/thm/complex/COMPLEX_MUL_LNEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_sub_lt_add_r' 'h4/thm/real/REAL_LT_SUB_LADD_'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_IsTO_le_lteq' 'h4/thm/arithmetic/GREATER_OR_EQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_lt_mono' 'h4/thm/transc/EXP_MONO_LE_'
0. 'coq/Coq_QArith_Qminmax_Q_le_max_l' 'h4/thm/integer/INT_DIVIDES_MUL_0'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pow_lt_mono_r'#@#variant 'h4/thm/integral/REAL_LE_LMUL1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_succ_r_prime' 'h4/thm/arithmetic/MULT_SUC_'
0. 'coq/Coq_ZArith_BinInt_Z_add_pred_r' 'h4/thm/complex/COMPLEX_NEG_RMUL_'#@#variant
0. 'coq/Coq_Reals_Raxioms_Rlt_asym' 'h4/thm/integer/INT_LT_GT_'
0. 'coq/Coq_PArith_BinPos_Pos_mul_lt_mono_l' 'h4/thm/integer/LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_eq_cases' 'h4/thm/rat/rat_leq_def_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_xO_r' 'h4/thm/complex/COMPLEX_NEG_RMUL_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_1_mul_pos'#@#variant 'h4/thm/extreal/lte_add_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_shuffle3' 'h4/thm/float/REAL_MUL_AC_e2'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_0_l' 'h4/thm/integer/INT_QUOT_0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_le_mono' 'h4/thm/transc/EXP_MONO_LT_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_pos' 'h4/thm/realax/real_of_hreal_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lnot_lxor_l' 'h4/thm/int_arith/move_sub_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_nlt_0_r' 'h4/thm/bit/BIT_ZERO_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_lt_mono_r' 'h4/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_PArith_BinPos_Pos_le_nlt' 'h4/thm/HolSmt/r115_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_irrefl' 'h4/thm/integer/TINT_LT_REFL_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_0_r'#@#variant 'h4/thm/arithmetic/MOD_ONE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_le_mono' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_max_l' 'h4/thm/realax/HREAL_LT_ADDL_'
0. 'coq/Coq_NArith_BinNat_N_succ_lt_mono' 'h4/thm/integerRing/int_rewrites_tLRRRLRRRR'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_0_sub'#@#variant 'h4/thm/integer/INT_SUB_LE_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_lxor_l' 'h4/thm/complex/COMPLEX_NEG_LDIV_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_le_mono_l' 'h4/thm/hrat/TRAT_MUL_WELLDEFINED_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_gcd_0_l' 'h4/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_odd' 'h4/thm/rat/RAT_SGN_CALCULATE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_clearbit_spec_prime'#@#variant 'h4/thm/real/REAL_SUB_RNEG_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_nle_gt' 'h4/thm/extreal/extreal_lt_def_'
0. 'coq/Coq_Arith_Lt_lt_not_le' 'h4/thm/real/REAL_LET_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_ldiff_diag' 'h4/thm/real/REAL_SUB_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_pred_l' 'h4/thm/arithmetic/MULT_e1'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_irrefl' 'h4/thm/string/string_lt_nonrefl_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_irrefl' 'h4/thm/realax/HREAL_LT_REFL_'
0. 'coq/Coq_NArith_BinNat_N_pow_nonzero' 'h4/thm/transc/RPOW_NZ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_pos'#@#variant 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Bool_Bool_diff_true_false' 'h4/thm/realax/REAL_10_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_pos_r'#@#variant 'h4/thm/rat/RAT_LES_RMUL_POS_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_quot_lt'#@#variant 'h4/thm/arithmetic/DIV_LESS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_gt_lt_iff' 'h4/thm/real/real_gt_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_opp' 'h4/thm/extreal/extreal_inv_def_e2'
0. 'coq/Coq_Structures_OrdersEx_PositiveOrderedTypeBits_bits_lt_antirefl' 'h4/thm/realax/TREAL_LT_REFL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_square_nonneg'#@#variant 'h4/thm/real/REAL_LE_SQUARE_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_succ_le_mono' 'h4/thm/numeral/numeral_distrib_28'
0. 'coq/Coq_Reals_Rtrigo_def_sin_no_R0' 'h4/thm/extreal/extreal_distinct_e2'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_gt_cases' 'h4/thm/integer/INT_LTE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_sub_le_add_r' 'h4/thm/arithmetic/SUB_LEFT_LESS_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_asymm' 'h4/thm/real/REAL_LT_ANTISYM_'
0. 'coq/Coq_QArith_QOrderedType_QOrder_eq_le' 'h4/thm/real/REAL_LET_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_pos_l'#@#variant 'h4/thm/rat/RAT_LES_LMUL_POS_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_le_mono' 'h4/thm/real/REAL_POS_MONO_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_lcm_r' 'h4/thm/integer/INT_DIVIDES_MUL_e1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_nonneg_nonneg' 'h4/thm/arithmetic/LESS_MULT2_'
0. 'coq/Coq_ZArith_BinInt_Z_lcm_divide_iff' 'h4/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_setbit_spec_prime'#@#variant 'h4/thm/rat/RAT_SUB_ADDAINV_'
0. 'coq/Coq_QArith_QOrderedType_QOrder_not_gt_le' 'h4/thm/integer/INT_LET_TOTAL_'
0. 'coq/Coq_Reals_RIneq_Rlt_or_le' 'h4/thm/integer/INT_LET_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_diag' 'h4/thm/numeral/iDUB_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_pred_succ' 'h4/thm/string/IMPLODE_EXPLODE_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_le_compat_r' 'h4/thm/hrat/TRAT_MUL_WELLDEFINED_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_lcm_l' 'h4/thm/integer/INT_DIVIDES_MUL_0'
0. 'coq/Coq_Arith_PeanoNat_Nat_mod_1_r'#@#variant 'h4/thm/integer/INT_MOD_1_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_PI_neq0' 'h4/thm/toto/all_cpn_distinct_1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_le_mono' 'h4/thm/transc/EXP_MONO_IMP_'
0. 'coq/Coq_Reals_Rbasic_fun_abs_IZR' 'h4/thm/toto/num_dt_size_def_e2'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_min_le_compat_l' 'h4/thm/realax/REAL_LT_IADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_pos_neg'#@#variant 'h4/thm/extreal/mul_le_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_even' 'h4/thm/rat/RAT_SGN_CALCULATE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_le_incl' 'h4/thm/arithmetic/LESS_IMP_LESS_OR_EQ_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sub_min_distr_l' 'h4/thm/transc/RPOW_SUB_'
0. 'coq/Coq_Reals_R_sqr_Rsqr_inv' 'h4/thm/real/ABS_INV_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_gcd_divide_r' 'h4/thm/extreal/min_le2_'
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_diag' 'h4/thm/real/REAL_MIN_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_nonneg' 'h4/thm/integral/LT_0_'
0. 'coq/Coq_QArith_Qcanon_Qcopp_involutive' 'h4/thm/integerRing/int_rewrites_tLRRRRRRRRRRRRL'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_irrefl' 'h4/thm/extreal/lt_refl_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_lteq' 'h4/thm/arithmetic/LESS_OR_EQ_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_asymm' 'h4/thm/extreal/lt_antisym_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lxor_lnot_lnot' 'h4/thm/complex/COMPLEX_NEG_DIV2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_neq_succ_diag_r' 'h4/thm/prim_rec/SUC_ID_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gt_lt_iff' 'h4/thm/integer/int_gt_'
0. 'coq/Coq_ZArith_BinInt_Z_abs_sgn' 'h4/thm/numpair/npair_'
0. 'coq/Coq_ZArith_BinInt_Z_succ_lt_mono' 'h4/thm/integerRing/int_rewrites_tLRRRLRRR'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_max_l' 'h4/thm/arithmetic/LESS_EQ_ADD_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_add' 'h4/thm/arithmetic/ADD_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_glb_lt' 'h4/thm/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_ZArith_Znat_Zabs2Nat_inj_neg' 'h4/thm/complex/complex_of_num_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_succ_m1'#@#variant 'h4/thm/util_prob/HALF_LT_1_'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_is_pos'#@#variant 'h4/thm/extreal/le_num_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_div2_double'#@#variant 'h4/thm/string/EXPLODE_IMPLODE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_ngt' 'h4/thm/extreal/extreal_lt_def_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_iff' 'h4/thm/DeepSyntax/deep_form_11_5'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_succ_l' 'h4/thm/frac/FRAC_AINV_LMUL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_max_r' 'h4/thm/real/REAL_LE_MAX2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_neg_pos'#@#variant 'h4/thm/real/REAL_NEG_LE0_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_divide_mono_l' 'h4/thm/realax/REAL_LT_IADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_le_lt_mono' 'h4/thm/integer/INT_LET_ADD2_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pow_le_mono_l' 'h4/thm/arithmetic/LESS_MONO_MULT_'
0. 'coq/Coq_Sets_Multiset_meq_trans' 'h4/thm/rich_list/IS_PREFIX_TRANS_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div2_nonneg'#@#variant 'h4/thm/real/REAL_LT_INV_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_nonneg_pos'#@#variant 'h4/thm/integer/INT_LET_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gt_lt_iff' 'h4/thm/integer/INT_GT_CALCULATE_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_neg_iff' 'h4/thm/string_num/s2n_11_'#@#variant
0. 'coq/Coq_QArith_Qround_Qceiling_Z' 'h4/thm/toto/num2cpn_cpn2num_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_nonneg' 'h4/thm/prim_rec/LESS_0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_le_mono' 'h4/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_pred_succ' 'h4/thm/numRing/num_rewrites_tLLRRRR'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_2' 'h4/thm/real/REAL_THIRDS_BETWEEN_tLRL'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_nonpos_nonpos'#@#variant 'h4/thm/extreal/lt_mul_neg_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_glb' 'h4/thm/divides/DIVIDES_ADD_1_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_id' 'h4/thm/arithmetic/MAX_IDEM_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_cancel_l' 'h4/thm/integer/EQ_LADD_'
0. 'coq/Coq_NArith_BinNat_N_log2_up_lt_cancel' 'h4/thm/arithmetic/LESS_MONO_REV_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_neq_succ_diag_l' 'h4/thm/prim_rec/SUC_ID_'
0. 'coq/Coq_PArith_BinPos_Pos_le_lt_trans' 'h4/thm/extreal/let_trans_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_1' 'h4/thm/real/REAL_NEG_0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_nonneg' 'h4/thm/transc/ATN_0'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_opp_l' 'h4/thm/arithmetic/ADD_e1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_quot_1_r' 'h4/thm/HolSmt/r080_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_succ_le_mono' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ldiff_m1_r'#@#variant 'h4/thm/util_prob/logr_1_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_1' 'h4/thm/transc/SIN_0_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_lt_iff' 'h4/thm/real/REAL_LE_MAX_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_id' 'h4/thm/string/CHR_ORD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lnot_0_l' 'h4/thm/util_prob/lg_def_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_red' 'h4/thm/complex/COMPLEX_OF_REAL_NEG_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mod_1_r'#@#variant 'h4/thm/arithmetic/EXP_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_succ_r' 'h4/thm/extreal/mul_rneg_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_le_mono' 'h4/thm/divides/LT_PRIMES_'
0. 'coq/Coq_Sets_Uniset_leb_refl' 'h4/thm/integer/INT_DIVIDES_REFL_'
0. 'coq/Coq_ZArith_Zpower_two_power_nat_equiv'#@#variant 'h4/thm/integerRing/int_ring_thms_e17'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_pred_double_spec' 'h4/thm/numeral_bit/NUMERAL_iDIV2_4'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_succ' 'h4/thm/extreal/extreal_inv_def_e2'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_add_le_sub_r' 'h4/thm/extreal/le_sub_imp_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_refl' 'h4/thm/poly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_Arith_Gt_gt_asym' 'h4/thm/integer/INT_LT_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_pred_l' 'h4/thm/frac/FRAC_AINV_LMUL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_add_lt_sub_r' 'h4/thm/real/REAL_LT_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_0_r'#@#variant 'h4/thm/numeral/numeral_distrib_11'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lcm_diag' 'h4/thm/numeral/iDUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_quot_pos'#@#variant 'h4/thm/extreal/let_mul_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_min_id' 'h4/thm/extreal/min_refl_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_lt_iff' 'h4/thm/real/REAL_LE_MAX_'
0. 'coq/Coq_NArith_Ndigits_Nless_def_4' 'h4/thm/quote/index_compare_def_6'
0. 'coq/Coq_ZArith_BinInt_Z_lt_pred_l' 'h4/thm/numpair/nsnd_le_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_alt_dichotomy' 'h4/thm/integer/INT_LE_TOTAL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_sub_mask_nul_iff' 'h4/thm/quote/compare_index_equal_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_id' 'h4/thm/string_num/n2s_s2n_'#@#variant
0. 'coq/Coq_FSets_FSetPositive_PositiveSet_eq_refl' 'h4/thm/integer/TINT_EQ_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_asymm' 'h4/thm/hreal/HRAT_LT_ANTISYM_'
0. 'coq/Coq_PArith_BinPos_Pos_le_max_l' 'h4/thm/integer/INT_DIVIDES_MUL_0'
0. 'coq/Coq_Lists_List_map_cons' 'h4/thm/list/MAP_SNOC_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_setbit_spec_prime'#@#variant 'h4/thm/HolSmt/r224_'#@#variant
0. 'coq/Coq_NArith_Ndigits_Nless_def_3' 'h4/thm/quote/index_compare_def_6'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_neg'#@#variant 'h4/thm/real/REAL_NEG_LT0_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sub_lt'#@#variant 'h4/thm/arithmetic/SUB_LESS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_succ_r_prime' 'h4/thm/arithmetic/MULT_CLAUSES_e5'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_id' 'h4/thm/arithmetic/MAX_IDEM_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lcm_1_r'#@#variant 'h4/thm/arithmetic/ADD1_'#@#variant
0. 'coq/Coq_setoid_ring_Ring_bool_eq_ok' 'h4/thm/extreal/sub_0_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_tan_gt_0'#@#variant 'h4/thm/transc/SIN_POS_PI_LE_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_shiftl_opp_r' 'h4/thm/frac/frac_div_def_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_shiftr' 'h4/thm/integer/INT_SUB_LNEG_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_refl' 'h4/thm/realax/TREAL_EQ_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_mod' 'h4/thm/integer/INT_MOD_PLUS_'#@#variant
0. 'coq/Coq_ZArith_Zeven_Zquot2_opp' 'h4/thm/transc/TAN_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_pos_neg'#@#variant 'h4/thm/extreal/mul_le_'#@#variant
0. 'coq/Coq_ZArith_Zcomplements_Zlength_nil' 'h4/thm/patricia/DEPTH_def_0'
0. 'coq/Coq_Reals_RIneq_Rgt_irrefl' 'h4/thm/rat/RAT_LES_REF_'
0. 'coq/Coq_PArith_BinPos_Pos_succ_lt_mono' 'h4/thm/numeral/numeral_lte_3'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_cancel_r' 'h4/thm/real/REAL_EQ_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_nlt_ge' 'h4/thm/real/real_lte_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_ldiff_diag' 'h4/thm/arithmetic/SUB_EQUAL_0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_lt_mono_r_iff'#@#variant 'h4/thm/arithmetic/EXP_BASE_LE_MONO_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_lor' 'h4/thm/complex/COMPLEX_EXP_SUB_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_involutive' 'h4/thm/integer/INT_ADD_REDUCE_3'
0. 'coq/Coq_ZArith_Znat_N2Z_id' 'h4/thm/frac/frac_tybij_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_xI_r' 'h4/thm/numeral/numeral_exp_1'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_iff' 'h4/thm/integer/INT_MOD_CALCULATE_3'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_inj_wd' 'h4/thm/numRing/num_rewrites_tLRRRRRRLR'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_succ_pred_double' 'h4/thm/numRing/num_rewrites_tLRLRR'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_opp_0' 'h4/thm/realax/TREAL_INV_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_irrefl' 'h4/thm/integer/TINT_LT_REFL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_divide_l' 'h4/thm/real/REAL_MIN_LE1_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gt_lt_iff' 'h4/thm/HolSmt/r103_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_nonneg' 'h4/thm/transc/ATN_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_lt_mono' 'h4/thm/integerRing/int_rewrites_tLRRRLRRR'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_involutive' 'h4/thm/complex/COMPLEX_INV_INV_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pred_div2_up' 'h4/thm/quote/index_size_def_0'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_nonneg_pos'#@#variant 'h4/thm/real/REAL_LET_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_sub_le_add_r' 'h4/thm/real/REAL_LT_SUB_LADD_'
0. 'coq/Coq_PArith_BinPos_Pos_add_le_mono_r' 'h4/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_inj_wd' 'h4/thm/real/REAL_INV_INJ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lcm_eq_0' 'h4/thm/arithmetic/MULT_EQ_0_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_id' 'h4/thm/real/REAL_MIN_REFL_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_is_pos'#@#variant 'h4/thm/binary_ieee/zero_lt_twopow_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_add_distr' 'h4/thm/arithmetic/SUB_RIGHT_SUB_'
0. 'coq/Coq_ZArith_BinInt_Z_log2_nonneg' 'h4/thm/transc/ATN_0'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_abs_0_iff' 'h4/thm/numpair/tri_eq_0_0'
0. 'coq/Coq_PArith_BinPos_Pos_le_lteq' 'h4/thm/rat/rat_leq_def_'
0. 'coq/Coq_NArith_BinNat_N_mul_divide_mono_r' 'h4/thm/integer/TINT_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zle_0_pos'#@#variant 'h4/thm/extreal/le_num_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_lub_lt' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_e2'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_le_compat_r' 'h4/thm/integer/TINT_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_lt_mono' 'h4/thm/numeral/numeral_lt_4'
0. 'coq/Coq_PArith_BinPos_Pos_min_glb_lt' 'h4/thm/divides/DIVIDES_ADD_1_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_glb_iff' 'h4/thm/arithmetic/MIN_LT_e1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_add_pos_r'#@#variant 'h4/thm/arithmetic/X_LE_X_EXP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_le_mono' 'h4/thm/hrat/TRAT_INV_WELLDEFINED_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_eq_opp_r' 'h4/thm/integer/INT_NEG_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_pow' 'h4/thm/extreal/mul_lneg_'
0. 'coq/Coq_NArith_BinNat_N_nle_succ_0' 'h4/thm/arithmetic/NOT_SUC_LESS_EQ_0_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_le_iff' 'h4/thm/extreal/min_le_'
0. 'coq/Coq_NArith_BinNat_N_sub_le_mono_r' 'h4/thm/hrat/TRAT_MUL_WELLDEFINED_'#@#variant
0. 'coq/Coq_Sets_Finite_sets_facts_Union_preserves_Finite' 'h4/thm/sptree/wf_union_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_0_sub'#@#variant 'h4/thm/arithmetic/SUB_LESS_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_gt_cases' 'h4/thm/real/REAL_LET_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_le_mono' 'h4/thm/integer/TINT_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_PI2_Rlt_PI'#@#variant 'h4/thm/transc/PI2_BOUNDS_e1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_opp_r' 'h4/thm/complex/complex_sub_'#@#variant
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_succ' 'h4/thm/extreal/extreal_inv_def_e2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lcm_1_l'#@#variant 'h4/thm/integer/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_eq_mul_0' 'h4/thm/extreal/entire_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_lt_mono_pos_l'#@#variant 'h4/thm/int_arith/justify_divides_'#@#variant
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_lt_antirefl' 'h4/thm/realax/HREAL_LT_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ldiff_m1_l'#@#variant 'h4/thm/HolSmt/r128_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_of_Q' 'h4/thm/ieee/float_tybij_0'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_eq_0_r' 'h4/thm/extreal/add_not_infty_e1'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div2_spec'#@#variant 'h4/thm/arithmetic/DIV2_def_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_eq_le_incl' 'h4/thm/integer/TINT_EQ_AP_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_le_refl' 'h4/thm/arithmetic/LESS_EQ_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pred_le_mono' 'h4/thm/bit/TWOEXP_MONO2_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_le_mono' 'h4/thm/transc/EXP_MONO_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_diag' 'h4/thm/arithmetic/MAX_IDEM_'
0. 'coq/Coq_ZArith_BinInt_Z_add_move_0_l' 'h4/thm/HolSmt/r076_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_le_add_le_sub_r' 'h4/thm/extreal/le_sub_imp_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ldiff_m1_r'#@#variant 'h4/thm/integer/INT_MOD_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_le_iff' 'h4/thm/arithmetic/MIN_LT_0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pos_pred_succ' 'h4/thm/patricia_casts/num_to_string_string_to_num_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_compare_succ_succ' 'h4/thm/toto/qk_numeralOrd_5'
0. 'coq/Coq_ZArith_BinInt_Z_min_le_iff' 'h4/thm/arithmetic/MIN_LT_0'
0. 'coq/Coq_PArith_BinPos_Pos_lt_add_r' 'h4/thm/arithmetic/LESS_EQ_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_le_mono_r' 'h4/thm/rat/RAT_LES_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_divide_iff' 'h4/thm/extreal/le_min_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_eq_opp_l' 'h4/thm/integer/INT_NEG_EQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftl_1_l'#@#variant 'h4/thm/extreal/sub_lzero_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_pow_0_l' 'h4/thm/arithmetic/ZERO_DIV_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_divide_xO_xO' 'h4/thm/numeral/numeral_lte_e6'
0. 'coq/Coq_Reals_RIneq_Rlt_irrefl' 'h4/thm/real/REAL_LT_REFL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_cancel_l' 'h4/thm/arithmetic/EQ_ADD_LCANCEL_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_opp_neg' 'h4/thm/integerRing/int_ring_thms_e17'#@#variant
0. 'coq/Coq_NArith_Nnat_N2Nat_id' 'h4/thm/integer/NUM_OF_INT_'
0. 'coq/Coq_PArith_BinPos_Pos_add_le_mono_l' 'h4/thm/hreal/HRAT_LT_LADD_'
0. 'coq/Coq_NArith_BinNat_N_mul_1_r' 'h4/thm/real/REAL_ADD_RID_'
0. 'coq/Coq_Arith_PeanoNat_Nat_min_le_compat_r' 'h4/thm/arithmetic/LESS_MONO_ADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_ngt' 'h4/thm/HolSmt/r115_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_add_lt_sub_r' 'h4/thm/rat/RAT_RSUB_LES_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_1' 'h4/thm/extreal/neg_0_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_succ_diag_r' 'h4/thm/prim_rec/LESS_SUC_REFL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_succ_min_distr' 'h4/thm/real/ABS_TRIANGLE_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_max_r' 'h4/thm/real/REAL_LE_MAX2_'
0. 'coq/Coq_Reals_Rfunctions_pow_le'#@#variant 'h4/thm/float/REAL_POW_LE_1_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qplus_inj_r' 'h4/thm/arithmetic/LE_ADD_RCANCEL_'
0. 'coq/Coq_ZArith_BinInt_Z_neq_mul_0' 'h4/thm/rat/RAT_NO_ZERODIV_NEG_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_nle_gt' 'h4/thm/real/real_lte_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_lt_mono_r' 'h4/thm/arithmetic/LT_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_1_l'#@#variant 'h4/thm/integer/INT_DIVIDES_1_0'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rle_min_compat_l' 'h4/thm/real/REAL_LT_IADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_lt_iff' 'h4/thm/arithmetic/MAX_LT_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_cancel_l' 'h4/thm/integer/EQ_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div_0_l' 'h4/thm/integer/INT_DIV_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_nlt_ge' 'h4/thm/HolSmt/r115_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pred_le_mono' 'h4/thm/prim_rec/LESS_MONO_'
0. 'coq/Coq_NArith_BinNat_N_add_cancel_r' 'h4/thm/integer/INT_EQ_RADD_'
0. 'coq/Coq_Init_Datatypes_CompOpp_involutive' 'h4/thm/int_bitwise/int_not_not_'
0. 'coq/Coq_ZArith_BinInt_Zpos_eq_iff' 'h4/thm/ASCIInumbers/toString_inj_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_pred'#@#variant 'h4/thm/integer/INT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_le_mono_r_iff'#@#variant 'h4/thm/transc/RPOW_LT_'#@#variant
0. 'coq/Coq_Numbers_Cyclic_Int31_Ring31_Int31ring_add_assoc'#@#variant 'h4/thm/hrat/TRAT_MUL_ASSOC_'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_mult_lt_compat_l'#@#variant 'h4/thm/logroot/ROOT_LE_MONO_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_succ_inj_wd' 'h4/thm/extreal/eq_neg_'
0. 'coq/Coq_Reals_Rminmax_R_max_lt_iff' 'h4/thm/extreal/le_max_'
0. 'coq/Coq_Reals_R_Ifp_base_fp/1' 'h4/thm/transc/SIN_BOUNDS_e1'#@#variant
0. 'coq/Coq_QArith_Qround_Qfloor_Z' 'h4/thm/pred_set/pair_to_num_inv_0'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pred_le_mono' 'h4/thm/hrat/TRAT_INV_WELLDEFINED_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_opp_r' 'h4/thm/integer/int_sub_'
0. 'coq/Coq_Arith_EqNat_eq_nat_refl' 'h4/thm/arithmetic/LESS_EQ_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_le_neq' 'h4/thm/integer/INT_LT_LE_'
0. 'coq/Coq_Arith_PeanoNat_Nat_eq_le_incl' 'h4/thm/real/REAL_EQ_IMP_LE_'
0. 'coq/Coq_Reals_Rfunctions_RPow_abs' 'h4/thm/real/REAL_POW_INV_'
0. 'coq/Coq_Reals_R_Ifp_base_fp/0' 'h4/thm/transc/SIN_BOUNDS_e1'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_le_mono_l' 'h4/thm/rat/RAT_LES_LADD_'
0. 'coq/Coq_QArith_Qminmax_Q_max_le_iff' 'h4/thm/arithmetic/MAX_LE_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_involutive' 'h4/thm/integer/INT_MUL_CALCULATE_e3'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_succ_r_prime' 'h4/thm/arithmetic/MULT_SUC_'
0. 'coq/Coq_Reals_RIneq_Rmult_le_0_lt_compat'#@#variant 'h4/thm/integer/INT_LT_MUL2_'#@#variant
0. 'coq/Coq_NArith_Nnat_Nat2N_id' 'h4/thm/real/NUM_FLOOR_EQNS_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_lt_mono_pos_r'#@#variant 'h4/thm/rat/RAT_LES_RMUL_POS_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_succ_l' 'h4/thm/complex/COMPLEX_MUL_LNEG_'#@#variant
0. 'coq/Coq_QArith_Qabs_Qle_Qabs' 'h4/thm/bit/BIT_B_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_divide/0' 'h4/thm/extreal/min_le1_'
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_factor_r' 'h4/thm/hreal/HRAT_LT_ADDR_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_0_iff' 'h4/thm/intExtension/INT_SGN_CLAUSES_1'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_1_r' 'h4/thm/integer/INT_SUB_RZERO_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_divide_mono_r' 'h4/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_lt_mono_r' 'h4/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_opp_l' 'h4/thm/extreal/mul_lneg_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_lt_mono_nonneg'#@#variant 'h4/thm/real/REAL_LT_MUL2_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lnot_ones' 'h4/thm/rat/RAT_ADD_LINV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_eq_opp_r' 'h4/thm/real/REAL_NEG_EQ_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div2_double' 'h4/thm/transc/ATN_TAN_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_nonneg_nonneg' 'h4/thm/realax/REAL_LT_MUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_square_spec' 'h4/thm/arithmetic/TIMES2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_sub_distr' 'h4/thm/complex/COMPLEX_SUB_LNEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_nle' 'h4/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_xO_r' 'h4/thm/arithmetic/ADD_CLAUSES_e3'
0. 'coq/Coq_ZArith_Zdiv_mod_Zmod' 'h4/thm/integer/INT_MOD_CALCULATE_0'
0. 'coq/Coq_ZArith_Znat_nat_N_Z' 'h4/thm/ieee/Fraction_'#@#variant
0. 'coq/Coq_Numbers_Cyclic_DoubleCyclic_DoubleBase_lt_0_wB'#@#variant 'h4/thm/binary_ieee/zero_le_twopow_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_add_pos_l'#@#variant 'h4/thm/arithmetic/X_LT_EXP_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_inj_wd' 'h4/thm/transc/EXP_INJ_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_lt' 'h4/thm/realax/real_lt_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_refl' 'h4/thm/rat/RAT_EQUIV_REF_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_le_mono' 'h4/thm/bit/TWOEXP_MONO2_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_1_l'#@#variant 'h4/thm/integer/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_refl' 'h4/thm/arithmetic/LESS_EQ_REFL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_le_mono' 'h4/thm/bit/TWOEXP_MONO_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_nlt' 'h4/thm/extreal/extreal_lt_def_'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_minus_one_neq_zero'#@#variant 'h4/thm/prelim/ordering_distinct_0'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_le_iff' 'h4/thm/util_prob/X_LE_MAX_'
0. 'coq/Coq_QArith_QArith_base_Zlt_Qlt' 'h4/thm/real/REAL_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_inj_wd' 'h4/thm/quote/index_11_e1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_lt_mono_r' 'h4/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_move_0_r' 'h4/thm/rat/RAT_EQ_SUB0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_succ_lt_mono' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_cancel_l' 'h4/thm/hreal/HRAT_EQ_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_mod' 'h4/thm/integer/INT_MOD_SUB_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ldiff_m1_r'#@#variant 'h4/thm/numeral/numeral_exp_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_le_mono' 'h4/thm/bit/TWOEXP_MONO_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_nlt_ge' 'h4/thm/real/REAL_NOT_LT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_opp_r' 'h4/thm/extreal/mul_rneg_'
0. 'coq/Coq_Reals_Rbasic_fun_Rle_min_compat_l' 'h4/thm/integer/TINT_LT_ADD_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_of_Qc' 'h4/thm/integer/NUM_OF_INT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_nonneg_pos'#@#variant 'h4/thm/real/REAL_LET_ADD_'#@#variant
0. 'coq/Coq_Reals_Raxioms_R1_neq_R0' 'h4/thm/ieee/roundmode_distinct_4'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_clearbit_spec_prime'#@#variant 'h4/thm/real/REAL_SUB_RNEG_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_nonneg_pos'#@#variant 'h4/thm/util_prob/REAL_LT_LE_MUL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_even_opp' 'h4/thm/complex/MODU_NEG_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_min_le_compat_r' 'h4/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_0_r_nonneg'#@#variant 'h4/thm/transc/RPOW_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sub_succ' 'h4/thm/complex/COMPLEX_NEG_DIV2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_1_r' 'h4/thm/integer/INT_ADD_CALCULATE_1'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_w2_spec' 'h4/thm/numRing/num_ring_thms_0'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_lt_iff' 'h4/thm/extreal/min_le_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lnot_lxor_l' 'h4/thm/int_arith/move_sub_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_eq_opp_l' 'h4/thm/real/REAL_NEG_EQ_'
0. 'coq/Coq_ZArith_BinInt_Z_succ_lt_mono' 'h4/thm/numeral/numeral_lte_e6'
0. 'coq/Coq_Reals_R_Ifp_Int_part_INR' 'h4/thm/rat/rat_nmr_def_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_1_l' 'h4/thm/extreal/sub_lzero_'
0. 'coq/Coq_Arith_Lt_lt_n_S' 'h4/thm/integer/TINT_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_neq_mul_0' 'h4/thm/rat/RAT_NO_ZERODIV_NEG_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_invc' 'h4/thm/extreal/extreal_exp_def_0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pos_pred_spec' 'h4/thm/util_prob/lg_pow_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_0_succ' 'h4/thm/transc/ATN_BOUNDS_0'#@#variant
0. 'coq/Coq_ZArith_Zdiv_div_Zdiv' 'h4/thm/integer/INT_MOD_'
0. 'coq/Coq_Numbers_Cyclic_ZModulo_ZModulo_spec_more_than_1_digit' 'h4/thm/integer/INT_NZ_IMP_LT_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_cancel_l' 'h4/thm/integer/EQ_LADD_'
0. 'coq/Coq_Reals_Rpower_ln_increasing'#@#variant 'h4/thm/bit/LOG2_LE_MONO_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_clearbit_spec_prime'#@#variant 'h4/thm/extreal/extreal_div_def_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_glb_lt_iff' 'h4/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_Reals_Rfunctions_Rlt_pow'#@#variant 'h4/thm/integral/REAL_POW_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_neq_succ_0' 'h4/thm/toto/num_dt_distinct_0'
0. 'coq/Coq_PArith_BinPos_Pos_divide_mul_l' 'h4/thm/arithmetic/LESS_IMP_LESS_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_max_l' 'h4/thm/extreal/le_max1_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lnot_ones' 'h4/thm/real/REAL_ADD_LINV_'#@#variant
0. 'coq/Coq_ZArith_Zmax_Zmax_left' 'h4/thm/real/REAL_MIN_ALT_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_involutive' 'h4/thm/complex/COMPLEX_INV_INV_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_quot_1_r' 'h4/thm/extreal/sub_rzero_'
0. 'coq/Coq_PArith_BinPos_Pos_add_succ_r' 'h4/thm/rat/RAT_AINV_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_nonneg_r'#@#variant 'h4/thm/real/REAL_LE_RMUL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_testbit_even_0'#@#variant 'h4/thm/toto/qk_numeralOrd_3'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_id' 'h4/thm/extreal/max_refl_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_refl' 'h4/thm/integer/INT_DIVIDES_REFL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_inj_wd' 'h4/thm/numRing/num_rewrites_tLRRRRRRLR'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_gt_lt_iff' 'h4/thm/integer/int_ge_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_nonneg' 'h4/thm/integral/LT_0_'
0. 'coq/Coq_Arith_Factorial_lt_O_fact' 'h4/thm/divides/ZERO_LT_PRIMES_'
0. 'coq/Coq_PArith_BinPos_Pos_le_min_r' 'h4/thm/extreal/min_le2_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_nlt' 'h4/thm/arithmetic/NOT_LESS_EQUAL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_succ_r' 'h4/thm/arithmetic/ADD_CLAUSES_e3'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_xI_succ_xO' 'h4/thm/numeral_bit/NUMERAL_iDIV2_4'
0. 'coq/Coq_PArith_Pnat_SuccNat2Pos_inj_iff' 'h4/thm/extreal/extreal_11_'
0. 'coq/Coq_Arith_Minus_minus_plus' 'h4/thm/float/ADD_SUB2_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_le_mono_r_iff'#@#variant 'h4/thm/real/REAL_LT_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lor_nonneg'#@#variant 'h4/thm/arithmetic/ODD_MULT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_gt_cases' 'h4/thm/integer/INT_LTE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lcm_1_r' 'h4/thm/real/REAL_SUB_RZERO_'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_succ' 'h4/thm/quote/index_size_def_1'#@#variant
0. 'coq/Coq_NArith_BinNat_N_le_lt_trans' 'h4/thm/arithmetic/LESS_EQ_LESS_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_nonneg' 'h4/thm/divides/ZERO_LT_PRIMES_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_add_r' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_0'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_cancel_r' 'h4/thm/arithmetic/EQ_MONO_ADD_EQ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_lt_mono_r' 'h4/thm/arithmetic/LE_ADD_RCANCEL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_div_str_pos'#@#variant 'h4/thm/bit/DIV_GT0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_sub_lt_add_r' 'h4/thm/integer/INT_LE_SUB_LADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_neq' 'h4/thm/integer/INT_LT_IMP_NE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_le_mono' 'h4/thm/integerRing/int_rewrites_tRRRRRRLRRRR'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_mul_1_l' 'h4/thm/hrat/TRAT_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_gt_lt_iff' 'h4/thm/integer/INT_GT_CALCULATE_'
0. 'coq/Coq_Arith_Div2_lt_div2'#@#variant 'h4/thm/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_pos_pos' 'h4/thm/integer/INT_LT_MUL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div_same'#@#variant 'h4/thm/integer/INT_QUOT_ID_'#@#variant
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_incr' 'h4/thm/complex/COMPLEX_OF_REAL_NEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sub_diag' 'h4/thm/rat/RAT_SUB_ID_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_lt_iff' 'h4/thm/arithmetic/MAX_LE_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sub_le_mono_r' 'h4/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_succ_not_1' 'h4/thm/transc/EXP_NZ_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_gcd_1_r' 'h4/thm/rat/RAT_MUL_RZERO_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftr_opp_r' 'h4/thm/HolSmt/r224_'#@#variant
0. 'coq/Coq_Bool_Bool_diff_false_true' 'h4/thm/binary_ieee/float_compare_distinct_2'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_le' 'h4/thm/realax/real_lt_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_add_r' 'h4/thm/arithmetic/EXP_ADD_'
0. 'coq/Coq_ZArith_Zpower_two_power_pos_equiv'#@#variant 'h4/thm/util_prob/lg_pow_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_add_le_sub_r' 'h4/thm/extreal/lt_sub_imp_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_nle' 'h4/thm/arithmetic/NOT_LESS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_le_mono_r_iff' 'h4/thm/int_arith/justify_divides_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_null_iff' 'h4/thm/integer/INT_REM_CALCULATE_e4'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_nonneg' 'h4/thm/integral/LT_0_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_lt_mono_l' 'h4/thm/hreal/HRAT_LT_LADD_'
0. 'coq/Coq_ZArith_BinInt_Z_add_pred_r' 'h4/thm/frac/FRAC_AINV_RMUL_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_lcm_divide_iff' 'h4/thm/extreal/max_le_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_iff' 'h4/thm/prelim/ordering2num_11_'
0. 'coq/Coq_Sorting_Permutation_Permutation_sym' 'h4/thm/Encode/biprefix_sym_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lcm_1_r' 'h4/thm/integer/INT_SUB_REDUCE_0'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_id' 'h4/thm/extreal/max_refl_'
0. 'coq/Coq_PArith_BinPos_Pos_le_max_l' 'h4/thm/real/REAL_LE_MAX1_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_inj_wd' 'h4/thm/numpair/tri_11_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_lt_mono_pos_l'#@#variant 'h4/thm/int_arith/lt_justify_multiplication_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_pred_r' 'h4/thm/real/REAL_NEG_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mod_1_r'#@#variant 'h4/thm/util_prob/logr_1_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_neg_iff' 'h4/thm/integer/INT_REM_CALCULATE_3'
0. 'coq/Coq_Reals_Rminmax_RHasMinMax_max_r' 'h4/thm/real/REAL_MAX_ALT_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_sub_le_add_r' 'h4/thm/real/REAL_LT_SUB_LADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_le_mono_r' 'h4/thm/rat/RAT_LES_RADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_neq_succ_0' 'h4/thm/quote/index_distinct_1'
0. 'coq/Coq_QArith_Qcanon_Qceq_alt' 'h4/thm/quote/compare_index_equal_'
0. 'coq/Coq_ZArith_BinInt_Z_pred_lt_mono' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_lt_trans' 'h4/thm/integer/INT_LET_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_max_l' 'h4/thm/real/REAL_LE_MAX1_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_nonneg' 'h4/thm/arithmetic/FACT_LESS_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_le_trans' 'h4/thm/real/REAL_LTE_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_involutive' 'h4/thm/integer/INT_MOD_CALCULATE_2'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_neg_iff' 'h4/thm/real/REAL_OF_NUM_EQ_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_le_compat_r' 'h4/thm/arithmetic/LESS_MONO_ADD_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_iff' 'h4/thm/ASCIInumbers/toString_11_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_succ_lt_mono' 'h4/thm/arithmetic/LESS_MONO_EQ_'
0. 'coq/Coq_Reals_RIneq_Rplus_minus' 'h4/thm/real/REAL_SUB_ADD2_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_succ_not_1' 'h4/thm/num/ZERO_REP_DEF_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_nle_gt' 'h4/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_refl' 'h4/thm/realax/TREAL_EQ_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_0_l' 'h4/thm/HolSmt/r221_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_add_le_sub_r' 'h4/thm/integer/INT_LT_SUB_LADD_'
0. 'coq/Coq_PArith_BinPos_Pos_min_id' 'h4/thm/extreal/max_refl_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_succ_diag_r' 'h4/thm/arithmetic/LESS_EQ_SUC_REFL_'
0. 'coq/Coq_ZArith_Znat_Z2Nat_inj_pred' 'h4/thm/rat/RAT_AINV_CALCULATE_'
0. 'coq/Coq_ZArith_BinInt_Z_add_cancel_r' 'h4/thm/arithmetic/EQ_MONO_ADD_EQ_'
0. 'coq/Coq_Arith_PeanoNat_Nat_div_mul' 'h4/thm/integer/INT_DIV_RMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_testbit_even_0'#@#variant 'h4/thm/quote/index_compare_def_4'
0. 'coq/Coq_QArith_Qabs_Qle_Qabs' 'h4/thm/arithmetic/LESS_EQ_SUC_REFL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_leb_le' 'h4/thm/quote/index_lt_def_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_le_mono_r' 'h4/thm/real/REAL_LE_SUB_CANCEL2_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_succ' 'h4/thm/rat/RAT_AINV_CALCULATE_'
0. 'coq/Coq_ZArith_Znat_Zabs2N_inj_neg' 'h4/thm/ieee/Exponent_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_le_min_l' 'h4/thm/extreal/min_le1_'
0. 'coq/Coq_NArith_BinNat_N_le_0_r' 'h4/thm/divides/DIVIDES_ONE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_pos_pos' 'h4/thm/arithmetic/LESS_MULT2_'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_0_r'#@#variant 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRL'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_sub_le_add_l' 'h4/thm/arithmetic/SUB_RIGHT_LESS_EQ_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pos_pred_succ' 'h4/thm/string_num/n2s_s2n_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_nlt_ge' 'h4/thm/arithmetic/NOT_LESS_'
0. 'coq/Coq_NArith_BinNat_N_div_1_r' 'h4/thm/real/REAL_ADD_RID_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_succ_diag_r' 'h4/thm/arithmetic/LESS_EQ_SUC_REFL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_sub_diag' 'h4/thm/arithmetic/ABS_DIFF_EQS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_le_compat_r' 'h4/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_lt_le_trans' 'h4/thm/rat/RAT_LES_LEQ_TRANS_'
0. 'coq/Coq_NArith_BinNat_N_lt_wf_0'#@#variant 'h4/thm/prim_rec/WF_LESS_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_lt_mono_r' 'h4/thm/arithmetic/LESS_EQ_MONO_ADD_EQ_'
0. 'coq/Coq_omega_OmegaLemmas_OMEGA2' 'h4/thm/realax/REAL_LT_MUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mod_1_r'#@#variant 'h4/thm/arithmetic/MOD_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_glb_lt_iff' 'h4/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_le_mono_l' 'h4/thm/real/REAL_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftl_1_l'#@#variant 'h4/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_clearbit_spec_prime'#@#variant 'h4/thm/HolSmt/r131_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mod_1_r'#@#variant 'h4/thm/arithmetic/MOD_ONE_'#@#variant
0. 'coq/Coq_Reals_RIneq_Ropp_mult_distr_l' 'h4/thm/integer/INT_MUL_CALCULATE_1'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_l' 'h4/thm/realax/REAL_LT_IADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_nonneg_pos'#@#variant 'h4/thm/extreal/lte_mul_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_le_ngt' 'h4/thm/real/real_lt_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_diag'#@#variant 'h4/thm/numeral/iSQR_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_le_mono' 'h4/thm/numpair/tri_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_cancel_r' 'h4/thm/arithmetic/EQ_ADD_RCANCEL_'
0. 'coq/Coq_Reals_Rminmax_Rmax_l' 'h4/thm/real/REAL_MAX_ALT_e1'
0. 'coq/Coq_ZArith_BinInt_Z_add_succ_r' 'h4/thm/complex/COMPLEX_NEG_RMUL_'#@#variant
0. 'coq/Coq_Reals_Rtrigo_calc_sqrt2_neq_0'#@#variant 'h4/thm/rat/RAT_1_NOT_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_le_iff' 'h4/thm/arithmetic/MAX_LT_0'
0. 'coq/Coq_Arith_PeanoNat_Nat_neq_succ_0' 'h4/thm/intto/BIT1_nz_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_pred_l' 'h4/thm/complex/COMPLEX_MUL_LNEG_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_succ_le_mono' 'h4/thm/numpair/tri_LE_'
0. 'coq/Coq_Reals_Rprod_le_n_2n'#@#variant 'h4/thm/prim_rec/LESS_SUC_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_quot_1_r' 'h4/thm/extreal/add_rzero_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_lt_iff' 'h4/thm/arithmetic/MIN_LT_0'
0. 'coq/Coq_Reals_Rtrigo1_cos_neg' 'h4/thm/integer/INT_ABS_NEG_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_le_lin'#@#variant 'h4/thm/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_opp' 'h4/thm/real/ABS_NEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_1_l' 'h4/thm/real/REAL_MUL_LZERO_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_min_r' 'h4/thm/extreal/min_le2_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_clearbit_spec_prime'#@#variant 'h4/thm/integer/INT_SUB_CALCULATE_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_compare_succ_succ' 'h4/thm/quote/index_compare_def_5'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_nle' 'h4/thm/rat/RAT_LES_LEQ_'
0. 'coq/Coq_Bool_Bool_negb_andb' 'h4/thm/complex/COMPLEX_EXP_ADD_'#@#variant
0. 'coq/Coq_Reals_Rtrigo_calc_sqrt2_neq_0'#@#variant 'h4/thm/toto/cpn_distinct_1'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_eq_0' 'h4/thm/rat/RAT_NO_ZERODIV_'#@#variant
0. 'coq/Coq_ZArith_Znumtheory_not_prime_1'#@#variant 'h4/thm/divides/NOT_PRIME_1_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_total' 'h4/thm/hreal/HREAL_LT_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_trichotomy' 'h4/thm/arithmetic/LESS_LESS_CASES_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div_1_r' 'h4/thm/integer/INT_SUB_RZERO_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_lcm_l' 'h4/thm/arithmetic/LESS_EQ_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_succ_inj_wd' 'h4/thm/rat/RAT_EQ_AINV_'
0. 'coq/Coq_PArith_BinPos_Pos_pred_succ' 'h4/thm/transc/LN_EXP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_succ_l' 'h4/thm/arithmetic/MULT_e1'
0. 'coq/Coq_Reals_Ratan_tan_1_gt_1' 'h4/thm/realax/TREAL_INV_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_eq_add_0' 'h4/thm/arithmetic/ADD_EQ_0_'
0. 'coq/Coq_ZArith_BinInt_Z_add_le_mono_r' 'h4/thm/hreal/HRAT_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_succ_diag_r' 'h4/thm/bit/BIT_B_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_pos_l'#@#variant 'h4/thm/arithmetic/EXP_BASE_LT_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_1_l'#@#variant 'h4/thm/util_prob/lg_def_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_pos_nonneg'#@#variant 'h4/thm/extreal/lte_add_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mod_small' 'h4/thm/real/REAL_MIN_ALT_0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_add_lt_sub_r' 'h4/thm/rat/RAT_RSUB_LES_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_nlt_ge' 'h4/thm/real/real_lte_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_0_1' 'h4/thm/prim_rec/LESS_0_0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_lub_lt_iff' 'h4/thm/arithmetic/MAX_LT_e1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_cancel_l' 'h4/thm/integer/INT_EQ_LMUL2_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_refl' 'h4/thm/realax/TREAL_EQ_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_nlt' 'h4/thm/integer/INT_NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_lt_mono' 'h4/thm/integerRing/int_rewrites_tLRRRLRRR'
0. 'coq/Coq_PArith_Pnat_Nat2Pos_inj_pred' 'h4/thm/extreal/extreal_ainv_def_e2'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_alt_dichotomy' 'h4/thm/extreal/le_total_'
0. 'coq/Coq_ZArith_BinInt_Zsucc_pred' 'h4/thm/prim_rec/PRE_e1'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_lt_mono_r' 'h4/thm/real/REAL_LE_SUB_CANCEL2_'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_minus_one_neq_zero'#@#variant 'h4/thm/binary_ieee/float_value_distinct_e2'
0. 'coq/Coq_ZArith_Znat_Zabs2Nat_inj_neg' 'h4/thm/realax/hreal_of_real_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_cancel_l' 'h4/thm/integer/EQ_LADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_clearbit_spec_prime'#@#variant 'h4/thm/integer/INT_SUB_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftl_shiftl' 'h4/thm/arithmetic/SUB_PLUS_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_of_Qc_bis' 'h4/thm/binary_ieee/zero_le_twopow_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_neq_mul_0' 'h4/thm/rat/RAT_NO_ZERODIV_NEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_1' 'h4/thm/integer/INT_NEG_0_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sub_max_distr_l' 'h4/thm/arithmetic/EXP_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_succ_lt_mono' 'h4/thm/integerRing/int_rewrites_tRRRRRRLRRRR'
0. 'coq/Coq_NArith_BinNat_N_min_le_compat_l' 'h4/thm/realax/REAL_LT_IADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_Even_succ' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRL'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_add_r' 'h4/thm/extreal/le_max1_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_inj_wd' 'h4/thm/real/REAL_INV_INJ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_le_mono' 'h4/thm/prim_rec/LESS_MONO_'
0. 'coq/Coq_NArith_BinNat_N_sqrt_le_lin' 'h4/thm/numpair/nsnd_le_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div_1_r' 'h4/thm/integer/INT_ADD_CALCULATE_1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_involutive' 'h4/thm/complex/CONJ_CONJ_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_le_mono' 'h4/thm/transc/EXP_MONO_IMP_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_Even_or_Odd' 'h4/thm/arithmetic/EVEN_OR_ODD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_le_compat_r' 'h4/thm/integer/TINT_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_add_le' 'h4/thm/real/ABS_TRIANGLE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_glb_iff' 'h4/thm/arithmetic/MIN_LT_e1'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_eq_not_lt' 'h4/thm/rat/RAT_LES_IMP_NEQ_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_succ_diag_r' 'h4/thm/prim_rec/LESS_SUC_REFL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_ge_cases' 'h4/thm/real/REAL_LET_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mod_0_l' 'h4/thm/integer/INT_REM0_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_opp_inj_wd' 'h4/thm/string/EXPLODE_11_'#@#variant
0. 'coq/Coq_ZArith_Znat_Zabs2Nat_inj_lt'#@#variant 'h4/thm/float/FLOAT_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftl_1_l'#@#variant 'h4/thm/numeral/texp_help_def_0'
0. 'coq/Coq_Init_Peano_min_l' 'h4/thm/real/REAL_MIN_ALT_0'
0. 'coq/Coq_Bool_Bool_negb_involutive_reverse' 'h4/thm/rat/RAT_AINV_AINV_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_succ_inj_wd' 'h4/thm/numRing/num_rewrites_tLRRRRRRLR'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_max_l' 'h4/thm/integer/INT_DIVIDES_MUL_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_succ_diag_r' 'h4/thm/arithmetic/LESS_EQ_SUC_REFL_'
0. 'coq/Coq_Init_Peano_pred_Sn' 'h4/thm/transc/ATN_e2'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_cancel_r' 'h4/thm/rat/RAT_EQ_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_negb_even' 'h4/thm/util_prob/lg_pow_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftl_mul_pow2'#@#variant 'h4/thm/real/REAL_SUB_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_glb_lt_iff' 'h4/thm/extreal/le_min_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_succ_not_1' 'h4/thm/num/NOT_SUC_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_le_iff' 'h4/thm/arithmetic/MIN_LE_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_pos_l'#@#variant 'h4/thm/logroot/LE_EXP_ISO_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ones_equiv'#@#variant 'h4/thm/numeral/numeral_pre_e4'
0. 'coq/Coq_ZArith_Zpow_facts_Zpower_divide' 'h4/thm/arithmetic/X_LE_X_EXP_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_eq_opp_r' 'h4/thm/rat/RAT_AINV_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_rem_opp_l_prime' 'h4/thm/rat/RAT_AINV_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_le_compat_l' 'h4/thm/real/REAL_LT_IADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lxor_lnot_lnot' 'h4/thm/real/REAL_NEG_MUL2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_min_distr_l' 'h4/thm/transc/RPOW_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftr_opp_r' 'h4/thm/real/REAL_SUB_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_pred_succ' 'h4/thm/transc/ATN_TAN_'
0. 'coq/Coq_ZArith_Zorder_not_Zeq' 'h4/thm/integer/INT_LT_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_lt_mono_pos_r'#@#variant 'h4/thm/intExtension/INT_LT_RMUL_EXP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_pos_nonneg'#@#variant 'h4/thm/util_prob/REAL_LE_LT_MUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_ge_le_iff' 'h4/thm/pred_set/COUNT_applied_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_1' 'h4/thm/real/ABS_0_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_lt_mono_r_iff'#@#variant 'h4/thm/rat/RAT_LES_LMUL_POS_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_succ_not_1' 'h4/thm/num/ZERO_REP_DEF_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_succ_l' 'h4/thm/arithmetic/LESS_EQ_'
0. 'coq/Coq_Reals_RIneq_Rdiv_lt_0_compat' 'h4/thm/realax/TREAL_LT_MUL_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pos_pred_succ' 'h4/thm/ASCIInumbers/toString_toNum_cancel_'#@#variant
0. 'coq/Coq_MSets_MSetPositive_PositiveSet_subset_spec' 'h4/thm/quote/index_lt_def_'
0. 'coq/Coq_ZArith_Znat_Zabs2Nat_id' 'h4/thm/toto/num2cpn_cpn2num_'
0. 'coq/Coq_ZArith_BinInt_Z_add_sub_assoc' 'h4/thm/numpair/napp_thm_e1'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_min_l' 'h4/thm/extreal/min_le1_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_le_compat_l' 'h4/thm/integer/TINT_LT_ADD_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_lt_mono_pos_r'#@#variant 'h4/thm/intExtension/INT_LT_RMUL_EXP_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_sub_l' 'h4/thm/real/REAL_MIN_LE1_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_setbit_spec_prime'#@#variant 'h4/thm/complex/COMPLEX_SUB_RNEG_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_id' 'h4/thm/binary_ieee/rounding_BIJ_0'
0. 'coq/Coq_NArith_BinNat_N_add_le_mono_r' 'h4/thm/arithmetic/LE_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_refl' 'h4/thm/arithmetic/LESS_EQ_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_opp_diag_l' 'h4/thm/integer/INT_ADD_LINV_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_add_le' 'h4/thm/real/REAL_ABS_TRIANGLE_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_glb_iff' 'h4/thm/integral/REAL_LT_MIN_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_sub_lt_add_r' 'h4/thm/extreal/le_sub_imp_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_lt' 'h4/thm/realax/REAL_ISO_EQ_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_succ_l' 'h4/thm/arithmetic/LESS_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ge_le_iff' 'h4/thm/integer/int_gt_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_min_l' 'h4/thm/extreal/min_le1_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_lt_mono_r'#@#variant 'h4/thm/real/REAL_LT_LMUL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_cancel_l' 'h4/thm/integer/EQ_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_divide_iff' 'h4/thm/arithmetic/MIN_LE_e1'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_even_sub' 'h4/thm/float/REAL_OF_NUM_SUB_'
0. 'coq/Coq_ZArith_BinInt_Z_max_le_compat_l' 'h4/thm/integer/TINT_LT_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_pos'#@#variant 'h4/thm/real/REAL_LE_INV_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lxor_lnot_lnot' 'h4/thm/extreal/neg_mul2_'
0. 'coq/Coq_Arith_PeanoNat_Nat_land_diag' 'h4/thm/gcd/GCD_REF_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_reg_l' 'h4/thm/real/REAL_EQ_LMUL_IMP_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_eq_opp_l' 'h4/thm/rat/RAT_AINV_EQ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_succ' 'h4/thm/string/EXPLODE_IMPLODE_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Zpred_succ' 'h4/thm/string/EXPLODE_IMPLODE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_cancel_l' 'h4/thm/integer/EQ_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_diag' 'h4/thm/real/REAL_MAX_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_succ_diag_r' 'h4/thm/bit/BIT_B_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_lt_mono_r' 'h4/thm/arithmetic/LESS_MONO_ADD_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_0_sub'#@#variant 'h4/thm/real/REAL_SUB_LE_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_total' 'h4/thm/realax/REAL_LT_TOTAL_'
0. 'coq/Coq_Reals_Rtrigo1_PI_neq0' 'h4/thm/toto/all_cpn_distinct_e3'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_le_mono_r' 'h4/thm/real/REAL_LE_SUB_CANCEL2_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sub_add_distr' 'h4/thm/frac/FRAC_SUB_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_le_mono_l' 'h4/thm/integer/INT_LE_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_lub_lt_iff' 'h4/thm/arithmetic/MAX_LT_e1'
0. 'coq/Coq_ZArith_BinInt_Z_pred_inj_wd' 'h4/thm/quote/index_11_0'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_gcd_divide_r' 'h4/thm/extreal/min_le2_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_eq_cases' 'h4/thm/integral/LE_LT_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_cancel_r' 'h4/thm/arithmetic/EQ_MONO_ADD_EQ_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_div2' 'h4/thm/extreal/extreal_exp_def_0'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_succ_inj_wd' 'h4/thm/numeral/numeral_distrib_22'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_divide_mono_r' 'h4/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_succ_l' 'h4/thm/frac/FRAC_AINV_LMUL_'
0. 'coq/Coq_ZArith_BinInt_Z_lcm_1_l'#@#variant 'h4/thm/integer/INT_SUB_REDUCE_1'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_1_r' 'h4/thm/integer/INT_SUB_REDUCE_0'
0. 'coq/Coq_Arith_PeanoNat_Nat_max_le_compat_l' 'h4/thm/realax/REAL_LT_IADD_'
0. 'coq/Coq_Numbers_Cyclic_DoubleCyclic_DoubleBase_wB_pos'#@#variant 'h4/thm/complex/MODU_POS_'#@#variant
0. 'coq/Coq_NArith_Ndigits_Ptestbit_Pbit' 'h4/thm/ratRing/rat_ring_thms_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_succ_pred_double' 'h4/thm/numeral_bit/NUMERAL_iDIV2_4'
0. 'coq/Coq_ZArith_Zquot_Zquot_opp_l' 'h4/thm/integer/INT_MUL_CALCULATE_1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_max_distr' 'h4/thm/complex/COMPLEX_EXP_SUB_'#@#variant
0. 'coq/Coq_NArith_Ndigits_Pbit_Ptestbit' 'h4/thm/integerRing/int_ring_thms_1'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_inj_wd' 'h4/thm/numeral/numeral_distrib_19'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_succ_diag_r' 'h4/thm/real/ABS_LE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_eqb_eq' 'h4/thm/quote/compare_index_equal_'
0. 'coq/Coq_Arith_Plus_plus_le_compat_r' 'h4/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_ZArith_Znat_Z2N_inj_quot2' 'h4/thm/extreal/extreal_abs_def_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_involutive' 'h4/thm/real/REAL_NEG_NEG_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_lt_mono_r' 'h4/thm/arithmetic/LESS_EQ_MONO_ADD_EQ_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_succ_inj_wd' 'h4/thm/numpair/tri_LT_'
0. 'coq/Coq_ZArith_BinInt_Z_div_le_mono'#@#variant 'h4/thm/extreal/le_rmul_imp_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sub_le_mono_l' 'h4/thm/extreal/le_lsub_imp_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_le_mono' 'h4/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_succ_lt_mono' 'h4/thm/transc/EXP_MONO_LE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftr_opp_r' 'h4/thm/real/real_sub_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_inj_wd' 'h4/thm/quote/index_11_0'
0. 'coq/Coq_NArith_BinNat_N_max_le_iff' 'h4/thm/real/REAL_LE_MAX_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_inj_wd' 'h4/thm/transc/EXP_INJ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_nonneg'#@#variant 'h4/thm/real/REAL_LT_INV_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_neq_succ_0' 'h4/thm/quote/index_distinct_e2'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_nonneg_l'#@#variant 'h4/thm/real/REAL_LT_LMUL_IMP_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_involutive' 'h4/thm/integerRing/int_rewrites_tLRRRRRRRRRRRRL'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_opp_r' 'h4/thm/integer/INT_SUB_CALCULATE_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_iff' 'h4/thm/prelim/ordering_EQ_ordering_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftl_mul_pow2'#@#variant 'h4/thm/integer/int_sub_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_lt_lin'#@#variant 'h4/thm/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_QArith_Qminmax_Q_max_le_compat_r' 'h4/thm/integer/TINT_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lcm_1_l'#@#variant 'h4/thm/HolSmt/r128_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sub_le_mono_r' 'h4/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_lt_mono_pos_l'#@#variant 'h4/thm/transc/RPOW_LE_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_refl' 'h4/thm/integer/INT_LE_REFL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_add_cancel_r' 'h4/thm/poly/POLY_DIVIDES_SUB_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_lt_mono_pos_r'#@#variant 'h4/thm/real/REAL_LT_RDIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_square_spec' 'h4/thm/arithmetic/TIMES2_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_succ_le_mono' 'h4/thm/numeral/numeral_distrib_28'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_inj_wd' 'h4/thm/transc/EXP_INJ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_refl' 'h4/thm/rat/RAT_EQUIV_REF_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_nonneg' 'h4/thm/transc/ATN_BOUNDS_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_refl' 'h4/thm/rat/RAT_EQUIV_REF_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_succ_diag_r' 'h4/thm/prim_rec/LESS_SUC_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftl_opp_r' 'h4/thm/integer/INT_SUB_RNEG_'
0. 'coq/Coq_Reals_RIneq_Rle_antisym' 'h4/thm/arithmetic/LESS_EQUAL_ANTISYM_'
0. 'coq/Coq_Lists_List_nil_cons' 'h4/thm/llist/LCONS_NOT_NIL_0'
0. 'coq/Coq_ZArith_BinInt_Z_add_pos_nonneg'#@#variant 'h4/thm/extreal/lte_add_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_refl' 'h4/thm/extreal/le_refl_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftl_1_l'#@#variant 'h4/thm/integer/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_pred_l' 'h4/thm/complex/COMPLEX_NEG_LDIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lnot_ones' 'h4/thm/bit/SUC_SUB_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_sub' 'h4/thm/arithmetic/ADD_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_0_l' 'h4/thm/extreal/sub_lzero_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_sub_1_r'#@#variant 'h4/thm/arithmetic/DIV2_def_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_lt_mono_r' 'h4/thm/hreal/HRAT_LT_RMUL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_gcd_0_l' 'h4/thm/integer/TINT_MUL_LID_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_cancel_r' 'h4/thm/rat/RAT_EQ_RMUL_'#@#variant
0. 'coq/Coq_QArith_Qround_Qceiling_Z' 'h4/thm/ieee/ccode_BIJ_0'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_le' 'h4/thm/realax/REAL_ISO_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_0_iff' 'h4/thm/numpair/tri_eq_0_e1'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_sub_lt_add_r' 'h4/thm/extreal/le_sub_imp_'
0. 'coq/Coq_Reals_Rpower_arcsinh_sinh' 'h4/thm/numpair/invtri_linverse_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_le_compat_l' 'h4/thm/integer/TINT_LT_ADD_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_le_mono_pos_r'#@#variant 'h4/thm/logroot/EXP_LE_ISO_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_nonneg'#@#variant 'h4/thm/real/REAL_LE_MUL2_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lcm_diag' 'h4/thm/arithmetic/MIN_IDEM_'
0. 'coq/Coq_Reals_Rbasic_fun_Ropp_Rmin' 'h4/thm/complex/COMPLEX_EXP_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div2_div'#@#variant 'h4/thm/arithmetic/ADD1_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_le_0_r' 'h4/thm/divides/DIVIDES_ONE_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_lcm_r' 'h4/thm/hreal/HRAT_LT_ADDR_'
0. 'coq/Coq_NArith_BinNat_N_divide_refl' 'h4/thm/rat/RAT_LEQ_REF_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_lt_mono_r' 'h4/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_max_r' 'h4/thm/hreal/HRAT_LT_ADDR_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_succ_inj_wd' 'h4/thm/complex/COMPLEX_INV_INJ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_eq'#@#variant 'h4/thm/real/REAL_POS_ID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_ge_le_iff' 'h4/thm/rat/rat_gre_def_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_divide_iff' 'h4/thm/arithmetic/MIN_LE_e1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_1_l'#@#variant 'h4/thm/arithmetic/ZERO_LESS_EQ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_0_sub'#@#variant 'h4/thm/real/REAL_SUB_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_0_r'#@#variant 'h4/thm/arithmetic/EXP_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_not_add_l' 'h4/thm/integer/LT_ADDR_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_factor_l' 'h4/thm/extreal/le_max1_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_nonpos_nonneg'#@#variant 'h4/thm/numeral/numeral_distrib_24'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_total' 'h4/thm/arithmetic/LESS_CASES_IMP_'
0. 'coq/Coq_ZArith_Zeven_Zeven_odd_bool' 'h4/thm/numRing/num_ring_thms_e17'#@#variant
0. 'coq/Coq_NArith_BinNat_N_log2_nonneg' 'h4/thm/prim_rec/LESS_0_'
0. 'coq/Coq_PArith_BinPos_Pos_mul_le_mono_l' 'h4/thm/integer/INT_LT_LADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div2_double' 'h4/thm/transc/LN_EXP_'
0. 'coq/Coq_NArith_BinNat_N_lnot_ones' 'h4/thm/rat/RAT_ADD_LINV_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Zle_Qle' 'h4/thm/string/char_le_def_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_lt_succ_r' 'h4/thm/prim_rec/LESS_SUC_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_le_compat_r' 'h4/thm/hrat/TRAT_MUL_WELLDEFINED_'#@#variant
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_succ' 'h4/thm/DeepSyntax/deep_form_size_def_2'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qmult_lt_r'#@#variant 'h4/thm/rat/RAT_LES_RMUL_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_quot_1_r' 'h4/thm/extreal/add_rzero_'
0. 'coq/Coq_Arith_PeanoNat_Nat_compare_succ' 'h4/thm/toto/qk_numeralOrd_5'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_succ' 'h4/thm/extreal/extreal_sqrt_def_0'
0. 'coq/Coq_ZArith_BinInt_Z_sub_lt_mono_r' 'h4/thm/real/REAL_LE_SUB_CANCEL2_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_neg_iff' 'h4/thm/ASCIInumbers/toString_11_'#@#variant
0. 'coq/Coq_ZArith_Zpower_Zpower_pos_is_exp' 'h4/thm/complex/COMPLEX_POW_ADD_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_succ_l' 'h4/thm/rat/RAT_AINV_LMUL_'
0. 'coq/Coq_QArith_QArith_base_Qplus_le_l' 'h4/thm/rat/RAT_LES_RADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_lt_iff' 'h4/thm/arithmetic/MAX_LT_0'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_iff' 'h4/thm/patricia_casts/string_to_num_11_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qle_minus_iff'#@#variant 'h4/thm/int_arith/lt_move_all_right_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_nle_gt' 'h4/thm/real/REAL_NOT_LT_'
0. 'coq/Coq_Arith_PeanoNat_Nat_succ_inj_wd' 'h4/thm/integer/INT_EQ_NEG_'
0. 'coq/Coq_ZArith_Zpower_Zpower_pos_is_exp' 'h4/thm/complex/COMPLEX_SCALAR_RMUL_ADD_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zplus_gt_compat_r' 'h4/thm/arithmetic/LESS_MONO_MULT_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_pred_double_spec' 'h4/thm/numeral/numeral_suc_1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftl_1_l'#@#variant 'h4/thm/util_prob/lg_def_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Zopp_mult_distr_r' 'h4/thm/integer/INT_NEG_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_le_iff' 'h4/thm/arithmetic/MAX_LE_0'
0. 'coq/Coq_Reals_Rminmax_R_min_glb_iff' 'h4/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_lub_iff' 'h4/thm/arithmetic/MAX_LT_e1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_antisym' 'h4/thm/arithmetic/LESS_EQUAL_ANTISYM_'
0. 'coq/Coq_PArith_BinPos_Pos_lt_total' 'h4/thm/arithmetic/LESS_LESS_CASES_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_le_compat_r' 'h4/thm/hrat/TRAT_ADD_WELLDEFINED_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div_le_mono'#@#variant 'h4/thm/real/REAL_LE_RMUL_IMP_'#@#variant
0. 'coq/Coq_PArith_Pnat_SuccNat2Pos_inj_succ' 'h4/thm/extreal/extreal_sqrt_def_0'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_nlt' 'h4/thm/real/real_lte_'
0. 'coq/Coq_Structures_OrderedTypeEx_N_as_OT_lt_not_eq' 'h4/thm/realax/HREAL_LT_NE_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_add_lt_sub_r' 'h4/thm/real/REAL_LE_SUB_LADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_pos'#@#variant 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_1_l' 'h4/thm/rat/RAT_MUL_LZERO_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_eq_le_incl' 'h4/thm/integer/TINT_EQ_AP_'#@#variant
0. 'coq/Coq_Numbers_Cyclic_ZModulo_ZModulo_Ptail_pos'#@#variant 'h4/thm/binary_ieee/zero_lt_twopow_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_lt_mono_r_iff'#@#variant 'h4/thm/transc/RPOW_LT_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_min_l' 'h4/thm/real/REAL_MIN_ALT_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_neq_0_succ' 'h4/thm/arithmetic/SUC_NOT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_clearbit_spec_prime'#@#variant 'h4/thm/rat/RAT_DIV_MULMINV_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_1_l'#@#variant 'h4/thm/numeral/texp_help_def_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_land_diag' 'h4/thm/real/REAL_MAX_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_opp_inj_wd' 'h4/thm/rat/RAT_EQ_AINV_'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_lt_le' 'h4/thm/extreal/lt_antisym_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_succ_diag_r' 'h4/thm/real/ABS_LE_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_1_l' 'h4/thm/arithmetic/ZERO_LESS_EQ_'
0. 'coq/Coq_QArith_Qreals_Q2R_opp' 'h4/thm/extreal/extreal_abs_def_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_lt_mono_l' 'h4/thm/integer/INT_LE_LADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_lt_trans' 'h4/thm/integer/INT_LET_TRANS_'
0. 'coq/Coq_NArith_BinNat_N_nlt_ge' 'h4/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_trichotomy' 'h4/thm/string/string_lt_cases_'#@#variant
0. 'coq/Coq_Arith_Lt_neq_0_lt'#@#variant 'h4/thm/arithmetic/LESS_0_CASES_'#@#variant
0. 'coq/Coq_ZArith_Zsqrt_compat_Zsqrt_le'#@#variant 'h4/thm/extreal/sqrt_mono_le_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_le_iff' 'h4/thm/extreal/min_le_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_le_lin'#@#variant 'h4/thm/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_lt_iff' 'h4/thm/arithmetic/MIN_LT_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_land_nonneg'#@#variant 'h4/thm/arithmetic/EVEN_MULT_'
0. 'coq/Coq_QArith_Qminmax_Q_min_le_compat_r' 'h4/thm/integer/TINT_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_lt_iff' 'h4/thm/real/REAL_MIN_LE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_1_mul_pos'#@#variant 'h4/thm/util_prob/REAL_LE_LT_MUL_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qmult_lt_l'#@#variant 'h4/thm/integer/INT_LE_MONO_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pred_succ' 'h4/thm/string/EXPLODE_IMPLODE_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_lt_lin'#@#variant 'h4/thm/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_lt_mono_r' 'h4/thm/arithmetic/LESS_EQ_MONO_ADD_EQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_pos_pos' 'h4/thm/arithmetic/LESS_MULT2_'
0. 'coq/Coq_ZArith_Znat_Z2N_inj_lt'#@#variant 'h4/thm/float/FLOAT_LE_'
0. 'coq/Coq_QArith_QArith_base_Qmult_le_l'#@#variant 'h4/thm/transc/RPOW_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_eq_0_r' 'h4/thm/intExtension/INT_NOT0_MUL_'#@#variant
0. 'coq/Coq_ZArith_Zeven_Zeven_Sn' 'h4/thm/transc/LN_POS_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_OT_lt_total' 'h4/thm/realax/REAL_LT_TOTAL_'
0. 'coq/Coq_Reals_Rtrigo1_COS_bound/0'#@#variant 'h4/thm/prim_rec/LESS_0_'
0. 'coq/Coq_ZArith_BinInt_Z_add_opp_r' 'h4/thm/rat/RAT_DIV_MULMINV_'
0. 'coq/Coq_ZArith_Znumtheory_Zis_gcd_refl' 'h4/thm/gcd/IS_GCD_REF_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_id' 'h4/thm/extreal/min_refl_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_lt_mono_r'#@#variant 'h4/thm/integral/REAL_LE_LMUL1_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_lt_cancel' 'h4/thm/arithmetic/LESS_MONO_REV_'
0. 'coq/Coq_Reals_Rtrigo1_tan_gt_0'#@#variant 'h4/thm/transc/COS_POS_PI2_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zle_minus_le_0'#@#variant 'h4/thm/extreal/sub_zero_lt_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_nlt_ge' 'h4/thm/HolSmt/r096_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_lt_lin'#@#variant 'h4/thm/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_min_glb_lt' 'h4/thm/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_sub' 'h4/thm/real/REAL_SUB_ADD_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_of_Qc' 'h4/thm/binary_ieee/num2rounding_rounding2num_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_1_l' 'h4/thm/integer/INT_SUB_REDUCE_1'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_succ_r' 'h4/thm/arithmetic/MULT_SUC_'
0. 'coq/Coq_NArith_Nnat_N2Nat_id' 'h4/thm/ieee/num2roundmode_roundmode2num_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_le_iff' 'h4/thm/arithmetic/MAX_LE_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_pos_l'#@#variant 'h4/thm/real/REAL_LT_LMUL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_le_gt_cases' 'h4/thm/arithmetic/LESS_CASES_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_eq_le_incl' 'h4/thm/hrat/TRAT_EQ_AP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gt_lt_iff' 'h4/thm/arithmetic/GREATER_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_glb_iff' 'h4/thm/integral/REAL_LT_MIN_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_le_mono_r' 'h4/thm/real/REAL_LE_SUB_CANCEL2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_mul_r' 'h4/thm/integer/INT_DIVIDES_RMUL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_1' 'h4/thm/numeral_bit/NUMERAL_iDIV2_1'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_le_mono_r' 'h4/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_r' 'h4/thm/integer/TINT_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_clearbit_spec_prime'#@#variant 'h4/thm/integer/INT_SUB_CALCULATE_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_le_mono_r' 'h4/thm/arithmetic/LESS_MONO_ADD_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_pred' 'h4/thm/numeral_bit/NUMERAL_iDIV2_2'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_lt_iff' 'h4/thm/arithmetic/MIN_LE_0'
0. 'coq/Coq_ZArith_Zlogarithm_log_inf_correct1'#@#variant 'h4/thm/complex/MODU_POS_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_1_l' 'h4/thm/integer/INT_MUL_LZERO_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_Odd_succ' 'h4/thm/binary_ieee/exp_ge2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pos_pred_succ' 'h4/thm/ieee/float_tybij_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_pos_nonneg'#@#variant 'h4/thm/util_prob/REAL_LE_LT_MUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_lor'#@#variant 'h4/thm/transc/LN_MUL_'#@#variant
0. 'coq/Coq_Bool_Bool_xorb_negb_negb' 'h4/thm/complex/COMPLEX_NEG_DIV2_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_max_distr_l' 'h4/thm/transc/RPOW_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_glb_lt' 'h4/thm/divides/DIVIDES_ADD_1_'
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_r' 'h4/thm/integer/TINT_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_le_lt_iff' 'h4/thm/real/real_lt_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div2_succ_double' 'h4/thm/numRing/num_rewrites_tLLRRRR'#@#variant
0. 'coq/Coq_NArith_BinNat_N_max_le_compat_l' 'h4/thm/realax/TREAL_LT_ADD_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_pos_cancel_l'#@#variant 'h4/thm/real/REAL_LT_LMUL_0_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rgt_irrefl' 'h4/thm/prim_rec/LESS_REFL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pos_pred_spec' 'h4/thm/frac/frac_sgn_def_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_le_mono' 'h4/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_nle_gt' 'h4/thm/arithmetic/NOT_LESS_'
0. 'coq/Coq_Sets_Classical_sets_Complement_Complement' 'h4/thm/toto/toto_inv_toto_inv_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_0_l' 'h4/thm/divides/ONE_DIVIDES_ALL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_involutive' 'h4/thm/int_bitwise/int_not_not_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_add_le' 'h4/thm/real/REAL_ABS_TRIANGLE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ldiff_m1_r'#@#variant 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRL'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_xO_r' 'h4/thm/real/REAL_NEG_RMUL_'
0. 'coq/Coq_ZArith_Zorder_Zsucc_le_compat' 'h4/thm/hrat/TRAT_INV_WELLDEFINED_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lcm_eq_0' 'h4/thm/integer/INT_ENTIRE_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lor_diag' 'h4/thm/gcd/GCD_REF_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_eq_1'#@#variant 'h4/thm/arithmetic/ADD_EQ_0_'
0. 'coq/Coq_NArith_BinNat_N_pred_div2_up' 'h4/thm/extreal/extreal_inv_def_e2'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_opp' 'h4/thm/quote/index_size_def_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_succ_inj_wd' 'h4/thm/rat/RAT_EQ_AINV_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_of_pos' 'h4/thm/rat/rat_sgn_def_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sub_1_r'#@#variant 'h4/thm/arithmetic/PRE_SUB1_'#@#variant
0. 'coq/Coq_ZArith_Znat_Z_nat_N' 'h4/thm/rat/rat_sgn_def_'
0. 'coq/Coq_Reals_Rpower_ln_exp' 'h4/thm/prim_rec/PRE_e1'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_lt_cancel' 'h4/thm/arithmetic/LESS_MONO_REV_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_neq_0_succ' 'h4/thm/toto/num_dt_distinct_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_pos_cancel_l'#@#variant 'h4/thm/real/REAL_LT_LMUL_0_'#@#variant
0. 'coq/Coq_QArith_QOrderedType_QOrder_not_gt_le' 'h4/thm/real/REAL_LTE_TOTAL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_nonneg_nonneg' 'h4/thm/realax/REAL_LT_MUL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pos_pred_succ' 'h4/thm/binary_ieee/rounding_BIJ_0'
0. 'coq/Coq_Numbers_Cyclic_ZModulo_ZModulo_Ptail_pos'#@#variant 'h4/thm/extreal/le_num_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_0_l'#@#variant 'h4/thm/arithmetic/ONE_MOD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_nonneg_l'#@#variant 'h4/thm/extreal/le_lmul_imp_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_ngt' 'h4/thm/integer/int_le_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_asymm' 'h4/thm/real/REAL_LT_ANTISYM_'
0. 'coq/Coq_Reals_R_sqr_Rsqr_abs' 'h4/thm/integer/INT_ABS_NEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_nlt_ge' 'h4/thm/rat/RAT_LES_LEQ_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_le_iff' 'h4/thm/real/REAL_MIN_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_lt_mono'#@#variant 'h4/thm/real/REAL_LT_MUL2_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_square_nonneg'#@#variant 'h4/thm/real/REAL_LE_SQUARE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_le_mono_l' 'h4/thm/arithmetic/LT_ADD_LCANCEL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_min_distr' 'h4/thm/transc/EXP_SUB_'
0. 'coq/Coq_Bool_Bool_diff_true_false' 'h4/thm/binary_ieee/float_compare_distinct_0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_1_r' 'h4/thm/integer/INT_ADD_REDUCE_1'
0. 'coq/Coq_ZArith_BinInt_Z2Pos_id'#@#variant 'h4/thm/ASCIInumbers/DEC_UNDEC_'
0. 'coq/Coq_QArith_QArith_base_Qplus_lt_l' 'h4/thm/arithmetic/LT_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_div2_double'#@#variant 'h4/thm/string/EXPLODE_IMPLODE_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_compare_eq_iff' 'h4/thm/quote/compare_index_equal_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sub_diag' 'h4/thm/arithmetic/SUB_EQUAL_0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_le_compat_l' 'h4/thm/extreal/le_ladd_imp_'
0. 'coq/Coq_Structures_OrdersEx_PositiveOrderedTypeBits_bits_lt_antirefl' 'h4/thm/realax/HREAL_LT_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_pow_1_r' 'h4/thm/HolSmt/r080_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_gt' 'h4/thm/realax/real_lt_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftl_shiftl' 'h4/thm/frac/FRAC_SUB_ADD_'
0. 'coq/Coq_Sets_Multiset_munion_comm' 'h4/thm/sorting/PERM_APPEND_'
0. 'coq/Coq_NArith_BinNat_N_min_glb_lt_iff' 'h4/thm/extreal/le_min_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mod_same' 'h4/thm/integer/INT_REM_ID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_refl' 'h4/thm/integer/TINT_EQ_REFL_'#@#variant
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_div2' 'h4/thm/quote/index_size_def_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_1_l' 'h4/thm/rat/RAT_ADD_LID_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_simpl_l' 'h4/thm/integer/INT_ADD_SUB_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_le_iff' 'h4/thm/arithmetic/MAX_LT_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_lub_iff' 'h4/thm/extreal/max_le_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_lxor_r' 'h4/thm/integer/INT_NEG_RMUL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_div2_double'#@#variant 'h4/thm/numRing/num_rewrites_tLLRRRR'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_glb_lt_iff' 'h4/thm/integral/REAL_LT_MIN_'
0. 'coq/Coq_QArith_QArith_base_inject_Z_opp' 'h4/thm/quote/index_size_def_1'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lt_eq_cases' 'h4/thm/arithmetic/LESS_OR_EQ_'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_eqk_trans'#@#variant 'h4/thm/sorting/PERM_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_eq_0' 'h4/thm/integer/INT_ENTIRE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_lt_mono_r' 'h4/thm/hreal/HRAT_LT_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_sub_lt_add_r' 'h4/thm/integer/INT_LT_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lxor_eq_0_iff' 'h4/thm/real/REAL_SUB_0_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pow_le_mono_r_iff' 'h4/thm/integer/INT_LE_MONO_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_rem_1_l'#@#variant 'h4/thm/arithmetic/ZERO_MOD_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lor_comm' 'h4/thm/hrat/TRAT_ADD_SYM_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_eq_mul_0' 'h4/thm/intExtension/INT_NO_ZERODIV_'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_lt_not_eq' 'h4/thm/realax/HREAL_LT_NE_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_divide_xO_xO' 'h4/thm/integerRing/int_rewrites_tLRRRLRRRR'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_div2' 'h4/thm/toto/num_dt_size_def_e2'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_succ_r' 'h4/thm/frac/FRAC_AINV_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_divide_l' 'h4/thm/arithmetic/SUB_LESS_EQ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_factor_l' 'h4/thm/arithmetic/LESS_EQ_ADD_'
0. 'coq/Coq_NArith_BinNat_N_ldiff_diag' 'h4/thm/arithmetic/ABS_DIFF_EQS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_inj_wd' 'h4/thm/numeral/numeral_distrib_19'
0. 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_ge_le_iff' 'h4/thm/rat/rat_gre_def_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_lt_mono_l' 'h4/thm/integer/INT_LE_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_succ_inj_wd' 'h4/thm/numRing/num_rewrites_tLRRRRRRLR'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_1_l'#@#variant 'h4/thm/HolSmt/r129_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_setbit_spec_prime'#@#variant 'h4/thm/HolSmt/r224_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_trichotomy' 'h4/thm/extreal/lt_total_'
0. 'coq/Coq_Reals_Exp_prop_div2_double'#@#variant 'h4/thm/bit/LOG2_TWOEXP_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_quot2' 'h4/thm/extreal/extreal_abs_def_0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_lor' 'h4/thm/transc/EXP_ADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_succ_l' 'h4/thm/real/REAL_MUL_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lxor_m1_l'#@#variant 'h4/thm/integer/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_le_compat_l' 'h4/thm/integer/INT_LT_LADD_IMP_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pred_sub'#@#variant 'h4/thm/arithmetic/PRE_SUB1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lxor_nilpotent' 'h4/thm/arithmetic/ABS_DIFF_EQS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_nonneg_nonneg' 'h4/thm/realax/TREAL_LT_MUL_'#@#variant
0. 'coq/Coq_Arith_Factorial_fact_neq_0' 'h4/thm/num/ZERO_REP_DEF_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_inj_wd' 'h4/thm/integer/INT_EQ_CALCULATE_1'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_opp' 'h4/thm/extreal/extreal_abs_def_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sub_succ' 'h4/thm/arithmetic/SUB_MONO_EQ_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_le_compat_r' 'h4/thm/arithmetic/LESS_MONO_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_sub' 'h4/thm/arithmetic/ADD_SUB_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_succ' 'h4/thm/prim_rec/PRE_e1'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_succ_r_prime' 'h4/thm/arithmetic/EXP_e1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_eq_mul_0_r' 'h4/thm/intExtension/INT_NOT0_MUL_'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_id' 'h4/thm/extreal/real_normal_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_le_mono_nonneg_l'#@#variant 'h4/thm/real/REAL_LT_LMUL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_divide_xO_xO' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_PArith_BinPos_Pos_gt_lt_iff' 'h4/thm/rat/rat_geq_def_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_xO_r' 'h4/thm/frac/FRAC_AINV_RMUL_'
0. 'coq/Coq_MMaps_MMapPositive_PositiveMap_E_bits_lt_antirefl' 'h4/thm/rat/RAT_LES_REF_'
0. 'coq/Coq_PArith_BinPos_Pos_add_1_l' 'h4/thm/HolSmt/r221_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lor_diag' 'h4/thm/extreal/min_refl_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_divide_mono_r' 'h4/thm/extreal/le_radd_imp_'
0. 'coq/Coq_ZArith_Znat_Zabs_nat_N' 'h4/thm/ieee/Exponent_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sub_min_distr_l' 'h4/thm/arithmetic/EXP_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_refl' 'h4/thm/arithmetic/LESS_EQ_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_le_incl' 'h4/thm/real/REAL_LT_IMP_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_wf_0' 'h4/thm/arithmetic/transitive_LESS_'
0. 'coq/Coq_ZArith_BinInt_Z_square_spec' 'h4/thm/HolSmt/r216_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_glb_iff' 'h4/thm/integral/REAL_LT_MIN_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_diag' 'h4/thm/arithmetic/MIN_IDEM_'
0. 'coq/Coq_QArith_Qround_Qfloor_Z' 'h4/thm/rat/RAT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_negb_odd' 'h4/thm/util_prob/lg_pow_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_succ_le_mono' 'h4/thm/numeral/numeral_lte_3'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_iff' 'h4/thm/prelim/ordering2num_11_'
0. 'coq/Coq_ZArith_Zdiv_Zdiv2_div'#@#variant 'h4/thm/arithmetic/ADD1_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_involutive' 'h4/thm/integer/INT_ABS_ABS_'
0. 'coq/Coq_Arith_Plus_plus_lt_compat_r' 'h4/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_succ_l' 'h4/thm/arithmetic/LESS_EQ_'
0. 'coq/Coq_Reals_Rtrigo_calc_Rlt_sqrt3_0'#@#variant 'h4/thm/util_prob/HALF_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_lt_mono_r' 'h4/thm/integer/INT_LE_RADD_'
0. 'coq/Coq_ZArith_BinInt_Z_pred_succ' 'h4/thm/transc/ATN_e2'
0. 'coq/Coq_Init_Peano_O_S' 'h4/thm/quote/index_distinct_e2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_setbit_spec_prime'#@#variant 'h4/thm/real/real_div_'
0. 'coq/Coq_Reals_ROrderedType_ROrder_le_antisym' 'h4/thm/arithmetic/LESS_EQUAL_ANTISYM_'
0. 'coq/Coq_NArith_BinNat_N_add_succ_l' 'h4/thm/integer/INT_MUL_CALCULATE_1'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_add_r' 'h4/thm/arithmetic/LESS_EQ_ADD_'
0. 'coq/Coq_ZArith_Zeven_Zodd_not_Zeven' 'h4/thm/float/FLOAT_DISTINCT_FINITE_e2'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_max_r' 'h4/thm/real/REAL_LE_MAX2_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_ge' 'h4/thm/realax/real_lt_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_eq_cases' 'h4/thm/integral/LE_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_succ_l' 'h4/thm/complex/COMPLEX_MUL_LNEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_lt_mono_r' 'h4/thm/arithmetic/LE_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_compare_succ' 'h4/thm/toto/numeralOrd_5'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_nge' 'h4/thm/HolSmt/r096_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_le_mono' 'h4/thm/bit/TWOEXP_MONO2_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_max_id' 'h4/thm/extreal/max_refl_'
0. 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_gt_lt_iff' 'h4/thm/arithmetic/GREATER_EQ_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_lcm_r' 'h4/thm/real/REAL_LE_MAX2_'
0. 'coq/Coq_QArith_QArith_base_Qmult_le_compat_r'#@#variant 'h4/thm/arithmetic/DIV_LE_MONOTONE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_lt_mono_l' 'h4/thm/hreal/HRAT_LT_LADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lnot_ones' 'h4/thm/hreal/HREAL_MUL_LINV_'
0. 'coq/Coq_NArith_BinNat_N_mul_cancel_l' 'h4/thm/real/REAL_EQ_LMUL2_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_opp_r' 'h4/thm/integer/INT_SUB_RNEG_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_le_mono_l' 'h4/thm/arithmetic/LE_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_divide_mono_r' 'h4/thm/arithmetic/LESS_MONO_ADD_'
0. 'coq/Coq_Reals_Rtrigo1__PI2_RLT_0'#@#variant 'h4/thm/real/REAL_HALF_BETWEEN_tRL'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_add_r' 'h4/thm/divides/DIVIDES_ADD_1_'
0. 'coq/Coq_Reals_Raxioms_R1_neq_R0' 'h4/thm/binary_ieee/float_value_distinct_e2'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_lub_lt_iff' 'h4/thm/arithmetic/MAX_LE_e1'
0. 'coq/Coq_NArith_BinNat_N_double_mul' 'h4/thm/arithmetic/ADD_e1'
0. 'coq/Coq_Arith_PeanoNat_Nat_sub_1_r'#@#variant 'h4/thm/arithmetic/ADD1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_rem_1_r'#@#variant 'h4/thm/numeral/numeral_exp_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lxor_eq_0_iff' 'h4/thm/integer/INT_SUB_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_0_l'#@#variant 'h4/thm/arithmetic/ZERO_LESS_EQ_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_le_compat_r' 'h4/thm/arithmetic/LESS_MONO_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_cancel_r' 'h4/thm/real/REAL_EQ_RADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_le_mono_l' 'h4/thm/real/REAL_LE_LADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_diag' 'h4/thm/arithmetic/MIN_IDEM_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_refl' 'h4/thm/rat/RAT_EQUIV_REF_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_succ_lt_mono' 'h4/thm/numpair/tri_LE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div2_double' 'h4/thm/string/IMPLODE_EXPLODE_'#@#variant
0. 'coq/Coq_Reals_ROrderedType_R_as_OT_le_lteq' 'h4/thm/arithmetic/LESS_OR_EQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_lt_mono_pos_l'#@#variant 'h4/thm/transc/RPOW_LE_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_sin_gt_0'#@#variant 'h4/thm/transc/SIN_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_refl' 'h4/thm/extreal/le_refl_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_trichotomy' 'h4/thm/integer/INT_LT_TOTAL_'
0. 'coq/Coq_Reals_RIneq_Rle_or_lt' 'h4/thm/integer/INT_LTE_TOTAL_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_cancel_r' 'h4/thm/rat/RAT_EQ_RMUL_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_1' 'h4/thm/rat/RAT_AINV_0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_irrefl' 'h4/thm/realax/HREAL_LT_REFL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_pred' 'h4/thm/numeral/numeral_iisuc_1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_opp_r' 'h4/thm/HolSmt/r131_'#@#variant
0. 'coq/Coq_Reals_Rfunctions_pow_nonzero' 'h4/thm/real/POW_NZ_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Zpred_succ' 'h4/thm/numRing/num_rewrites_tLLRRRR'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_lcm_l' 'h4/thm/realax/HREAL_LT_ADDL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mod_same' 'h4/thm/integer/INT_MOD_ID_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_inj_wd' 'h4/thm/prim_rec/INV_SUC_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_setbit_spec_prime'#@#variant 'h4/thm/frac/frac_div_def_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_1_r' 'h4/thm/integer/INT_ADD_CALCULATE_1'
0. 'coq/Coq_NArith_BinNat_N_pred_succ' 'h4/thm/string/EXPLODE_IMPLODE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftr_opp_r' 'h4/thm/complex/COMPLEX_SUB_RNEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_sub_0' 'h4/thm/rat/RAT_LES_SUB0_'#@#variant
0. 'coq/Coq_ZArith_Zdiv_Zdiv_le_upper_bound'#@#variant 'h4/thm/real/REAL_LE_LDIV_'#@#variant
0. 'coq/Coq_fourier_Fourier_util_Rfourier_le'#@#variant 'h4/thm/extreal/le_lmul_imp_'#@#variant
0. 'coq/Coq_QArith_Qround_Qceiling_Z' 'h4/thm/prelim/num2ordering_ordering2num_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_nge' 'h4/thm/arithmetic/NOT_LESS_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_succ_pred_double' 'h4/thm/numeral/numeral_suc_1'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_succ' 'h4/thm/toto/num_dt_size_def_e2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sub_le_mono_r' 'h4/thm/arithmetic/LESS_MONO_MULT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_cancel_l' 'h4/thm/integer/INT_EQ_LADD_'
0. 'coq/Coq_Reals_Rminmax_R_max_lub_lt_iff' 'h4/thm/extreal/max_le_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_compare_xI_xI' 'h4/thm/toto/num_dtOrd_7'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_pos' 'h4/thm/ieee/Exponent_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_testbit_even_0'#@#variant 'h4/thm/toto/qk_numeralOrd_4'
0. 'coq/Coq_Reals_RIneq_Rplus_gt_compat_l' 'h4/thm/extreal/le_ladd_imp_'
0. 'coq/Coq_Structures_OrdersEx_PositiveOrderedTypeBits_bits_lt_antirefl' 'h4/thm/rat/RAT_LES_REF_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_glb_lt' 'h4/thm/divides/DIVIDES_ADD_1_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_even_1' 'h4/thm/ieee/Minus_infinity_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_alt_dichotomy' 'h4/thm/real/REAL_LE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_factor_r' 'h4/thm/extreal/le_max2_'
0. 'coq/Coq_Reals_RIneq_Rge_refl' 'h4/thm/realax/TREAL_EQ_REFL_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_divide_refl' 'h4/thm/integer/TINT_EQ_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_succ_r' 'h4/thm/float/LT_SUC_LE_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_pred_sub' 'h4/thm/arithmetic/DIV2_def_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_succ_inj_wd' 'h4/thm/complex/COMPLEX_INV_INJ_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_nge' 'h4/thm/HolSmt/r096_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_mul_1_l' 'h4/thm/realax/TREAL_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_eq_0' 'h4/thm/extreal/entire_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_lt_mono_l' 'h4/thm/realax/HREAL_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_lt_succ_r' 'h4/thm/prim_rec/LESS_SUC_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_land_lnot_diag' 'h4/thm/hreal/HRAT_MUL_RINV_'
0. 'coq/Coq_ZArith_BinInt_Z_ldiff_land' 'h4/thm/integer/int_sub_'
0. 'coq/Coq_Reals_RIneq_Rplus_ge_compat_l' 'h4/thm/realax/REAL_LT_IADD_'
0. 'coq/Coq_NArith_BinNat_N_lt_0_succ' 'h4/thm/transc/ATN_0'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_glb_lt_iff' 'h4/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_le_incl' 'h4/thm/arithmetic/LESS_IMP_LESS_OR_EQ_'
0. 'coq/Coq_Reals_RIneq_Rnot_lt_le' 'h4/thm/real/REAL_LTE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_nge' 'h4/thm/integer/int_le_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_1' 'h4/thm/integer/INT_ADD_REDUCE_2'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_succ_l' 'h4/thm/complex/COMPLEX_NEG_LDIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_sub_le_add_r' 'h4/thm/real/REAL_LE_SUB_RADD_'
0. 'coq/__constr_Coq_MSets_MSetPositive_PositiveSet_ct_0_2' 'h4/thm/gcd/IS_GCD_0R_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_0_succ' 'h4/thm/integral/LT_0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_le_mono' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_le_mono' 'h4/thm/real/REAL_POS_MONO_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_land' 'h4/thm/complex/COMPLEX_EXP_ADD_'#@#variant
0. 'coq/Coq_ZArith_Znat_Zabs_N_nat' 'h4/thm/complex/complex_of_num_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_refl' 'h4/thm/integer/TINT_EQ_REFL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_pred_r' 'h4/thm/complex/COMPLEX_NEG_RMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_nonneg' 'h4/thm/prim_rec/LESS_0_'
0. 'coq/Coq_Init_Peano_O_S' 'h4/thm/num/NOT_SUC_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_divide_mono_l' 'h4/thm/realax/TREAL_LT_ADD_'#@#variant
0. 'coq/Coq_Numbers_Cyclic_DoubleCyclic_DoubleBase_wB_pos'#@#variant 'h4/thm/float/twogz_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_square_spec' 'h4/thm/real/REAL_DOUBLE_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_min_glb_lt_iff' 'h4/thm/extreal/le_min_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_le_compat_l' 'h4/thm/realax/REAL_LT_IADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_lt_mono_l' 'h4/thm/arithmetic/LE_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_diag' 'h4/thm/real/REAL_MIN_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_involutive' 'h4/thm/real/REAL_NEG_NEG_'
0. 'coq/Coq_NArith_BinNat_N_mul_1_l' 'h4/thm/HolSmt/r079_'
0. 'coq/Coq_NArith_BinNat_N_min_id' 'h4/thm/arithmetic/MAX_IDEM_'
0. 'coq/Coq_Reals_Rtrigo1_SIN_bound/0'#@#variant 'h4/thm/integral/LT_0_'
0. 'coq/Coq_ZArith_BinInt_Z_eq_le_incl' 'h4/thm/HolSmt/t007_'
0. 'coq/Coq_PArith_BinPos_Pos_pow_succ_r' 'h4/thm/arithmetic/MULT_CLAUSES_e5'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_cancel_r' 'h4/thm/integer/INT_EQ_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_lt_mono_r' 'h4/thm/integer/INT_LE_RADD_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_spec_compare' 'h4/thm/toto/qk_numOrd_def_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_eq_cases' 'h4/thm/real/REAL_LE_LT_'
0. 'coq/Coq_ZArith_BinInt_Z_divide_factor_l' 'h4/thm/extreal/le_max1_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_clearbit_spec_prime'#@#variant 'h4/thm/rat/RAT_DIV_MULMINV_'
0. 'coq/Coq_ZArith_BinInt_Z_ldiff_land' 'h4/thm/HolSmt/r131_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_eq_0' 'h4/thm/gcd/GCD_EQ_0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_le_iff' 'h4/thm/extreal/le_max_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_1_r' 'h4/thm/rat/RAT_ADD_RID_'
0. 'coq/Coq_QArith_QArith_base_Qplus_inj_r' 'h4/thm/rat/RAT_LES_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_sub_le_add_r' 'h4/thm/integer/INT_LT_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_nlt_ge' 'h4/thm/extreal/extreal_lt_def_'
0. 'coq/Coq_ZArith_BinInt_Z_lnot_involutive' 'h4/thm/integer/INT_DIV_CALCULATE_e4'
0. 'coq/Coq_omega_OmegaLemmas_Zred_factor0' 'h4/thm/real/REAL_SUB_RZERO_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_gcd_greatest' 'h4/thm/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pred_succ' 'h4/thm/prim_rec/PRE_e1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_neq_0_succ' 'h4/thm/arithmetic/SUC_NOT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_reg_r' 'h4/thm/real/REAL_EQ_RMUL_IMP_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_max_le_compat_l' 'h4/thm/realax/REAL_LT_IADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_mul_l' 'h4/thm/divides/DIVIDES_MULT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_ngt' 'h4/thm/extreal/extreal_lt_def_'
0. 'coq/Coq_ZArith_BinInt_Z_opp_le_mono' 'h4/thm/integer/INT_LT_NEG_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_neg_pos_cases'#@#variant 'h4/thm/intExtension/INT_NE_IMP_LTGT_'#@#variant
0. 'coq/Coq_QArith_Qminmax_Q_le_min_l' 'h4/thm/real/REAL_MIN_LE1_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_abs_l' 'h4/thm/integer/INT_DIVIDES_NEG_e1'
0. 'coq/Coq_Arith_PeanoNat_Nat_land_diag' 'h4/thm/real/REAL_MIN_REFL_'
0. 'coq/Coq_NArith_BinNat_N_lnot_ones' 'h4/thm/real/REAL_ADD_LINV_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_lt_mono_pos_r'#@#variant 'h4/thm/logroot/EXP_LE_ISO_'#@#variant
0. 'coq/Coq_Reals_Rpower_ln_increasing'#@#variant 'h4/thm/extreal/sqrt_mono_le_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_opp_pred' 'h4/thm/sptree/lrnext_thm_3'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_quot_str_pos' 'h4/thm/bit/DIV_GT0_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_succ_l' 'h4/thm/arithmetic/ADD_CLAUSES_2'
0. 'coq/Coq_Arith_PeanoNat_Nat_eq_mul_1'#@#variant 'h4/thm/gcd/GCD_EQ_0_'
0. 'coq/Coq_NArith_BinNat_N_pow_le_mono_r_iff'#@#variant 'h4/thm/rat/RAT_LES_LMUL_POS_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rle_0_sqr' 'h4/thm/divides/ZERO_LT_PRIMES_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_lt_trans' 'h4/thm/integer/INT_LET_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_0_l' 'h4/thm/arithmetic/ZERO_MOD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lcm_diag' 'h4/thm/extreal/min_refl_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_max_l' 'h4/thm/extreal/le_max1_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_asymm' 'h4/thm/string/string_lt_antisym_'#@#variant
0. 'coq/Coq_Reals_Ratan_Ropp_div' 'h4/thm/real/REAL_MUL_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_nonneg_nonneg' 'h4/thm/realax/TREAL_LT_MUL_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sub_succ' 'h4/thm/complex/COMPLEX_NEG_MUL2_'#@#variant
0. 'coq/Coq_Bool_Bool_no_fixpoint_negb' 'h4/thm/prim_rec/SUC_ID_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_divide_iff' 'h4/thm/arithmetic/MIN_LT_e1'
0. 'coq/Coq_ZArith_Zeven_Zquot2_opp' 'h4/thm/complex/COMPLEX_INV_NEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_le_compat_l' 'h4/thm/realax/TREAL_LT_ADD_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_max_r' 'h4/thm/real/REAL_LE_MAX2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_sub_distr' 'h4/thm/integer/INT_SUB_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_nonneg' 'h4/thm/prim_rec/LESS_0_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lxor_m1_l'#@#variant 'h4/thm/HolSmt/r129_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_opp_diag_r' 'h4/thm/rat/RAT_ADD_RINV_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_inj' 'h4/thm/num/INV_SUC_'
0. 'coq/Coq_ZArith_BinInt_Z_quot_1_r' 'h4/thm/integer/INT_SUB_REDUCE_0'
0. 'coq/Coq_ZArith_Zeven_Zodd_not_Zeven' 'h4/thm/float/FLOAT_DISTINCT_8'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_1_r'#@#variant 'h4/thm/arithmetic/ADD1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_lt_mono_l' 'h4/thm/integer/INT_LE_LADD_'
0. 'coq/Coq_ZArith_BinInt_ZL0'#@#variant 'h4/thm/extreal/extreal_sub_def_4'
0. 'coq/Coq_FSets_FSetPositive_PositiveSet_E_bits_lt_antirefl' 'h4/thm/realax/HREAL_LT_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_mul_r' 'h4/thm/integer/INT_DIVIDES_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_pos_nonneg'#@#variant 'h4/thm/integer/INT_LTE_ADD_'#@#variant
0. 'coq/Coq_QArith_Qround_Qceiling_Z' 'h4/thm/binary_ieee/num2float_compare_float_compare2num_'
0. 'coq/Coq_QArith_Qreduction_Qplus_prime_correct' 'h4/thm/arithmetic/MIN_MAX_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_nlt_0_r' 'h4/thm/extreal/lt_infty_3'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_max_r' 'h4/thm/hreal/HRAT_LT_ADDR_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_lt_mono_pos_r'#@#variant 'h4/thm/rat/RAT_LES_RMUL_POS_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pow_lt_mono'#@#variant 'h4/thm/real/REAL_LT_MUL2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_neg_iff'#@#variant 'h4/thm/intExtension/INT_SGN_CLAUSES_e2'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_lt_mono' 'h4/thm/integerRing/int_rewrites_tLRRRLRRR'
0. 'coq/Coq_ZArith_Zpower_two_p_equiv'#@#variant 'h4/thm/integer/INT_NEG_MINUS1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_alt_dichotomy' 'h4/thm/real/REAL_LE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_setbit_spec_prime'#@#variant 'h4/thm/HolSmt/r224_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_0_l' 'h4/thm/numeral/texp_help_def_0'
0. 'coq/Coq_QArith_QArith_base_Qlt_irrefl' 'h4/thm/integer/INT_LT_REFL_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_id' 'h4/thm/binary_ieee/rounding_BIJ_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_eq_0' 'h4/thm/arithmetic/MULT_EQ_1_'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_gt' 'h4/thm/realax/REAL_ISO_EQ_'
0. 'coq/Coq_NArith_BinNat_N_neq_succ_0' 'h4/thm/transc/EXP_NZ_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_of_Qc' 'h4/thm/real/NUM_FLOOR_EQNS_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_lt_mono_nonneg'#@#variant 'h4/thm/real/REAL_LE_MUL2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_glb_iff' 'h4/thm/integral/REAL_LT_MIN_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_land_nonneg'#@#variant 'h4/thm/arithmetic/ZERO_LESS_ADD_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_succ_l' 'h4/thm/complex/COMPLEX_NEG_LDIV_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_min_le_compat_r' 'h4/thm/hrat/TRAT_ADD_WELLDEFINED_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rminus_0_l' 'h4/thm/numeral/numeral_texp_help_0'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_abs' 'h4/thm/quote/index_size_def_1'#@#variant
0. 'coq/Coq_ZArith_BinInt_Zminus_succ_l' 'h4/thm/integer/INT_MUL_CALCULATE_1'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_compare_xI_xI' 'h4/thm/quote/index_compare_def_7'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_add_lt_sub_r' 'h4/thm/real/REAL_LT_SUB_LADD_'
0. 'coq/Coq_Init_Peano_O_S' 'h4/thm/num/ZERO_REP_DEF_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_divide_l' 'h4/thm/arithmetic/SUB_LESS_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_1_r'#@#variant 'h4/thm/arithmetic/DIV2_def_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_simpl_r' 'h4/thm/complex/COMPLEX_SUB_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_cancel_l' 'h4/thm/integer/INT_EQ_LMUL2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_shuffle3' 'h4/thm/HolSmt/r086_'
0. 'coq/Coq_NArith_BinNat_N_nlt_ge' 'h4/thm/rat/RAT_LES_LEQ_'
0. 'coq/Coq_QArith_Qcanon_Qcle_refl' 'h4/thm/poly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_asymm' 'h4/thm/integer/INT_LT_GT_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_pos_l'#@#variant 'h4/thm/logroot/LE_EXP_ISO_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_clearbit_spec_prime'#@#variant 'h4/thm/extreal/sub_rneg_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_irrefl' 'h4/thm/realax/REAL_LT_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_pred_succ' 'h4/thm/prim_rec/PRE_e1'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_le_mono_l' 'h4/thm/arithmetic/LE_ADD_LCANCEL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mod_1_r'#@#variant 'h4/thm/arithmetic/MOD_ONE_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_divide_abs_l' 'h4/thm/integer/INT_DIVIDES_NEG_e1'
0. 'coq/Coq_QArith_QArith_base_Zle_Qle' 'h4/thm/string/char_lt_def_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lcm_diag' 'h4/thm/real/REAL_MAX_REFL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_glb_iff' 'h4/thm/extreal/le_min_'
0. 'coq/Coq_NArith_Ndist_ni_min_idemp' 'h4/thm/arithmetic/MAX_IDEM_'
0. 'coq/Coq_NArith_BinNat_N_lt_0_succ' 'h4/thm/integral/LT_0_'
0. 'coq/Coq_ZArith_BinInt_Z_pow_1_l'#@#variant 'h4/thm/arithmetic/ZERO_MOD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_ldiff_ldiff_l' 'h4/thm/arithmetic/SUB_RIGHT_SUB_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sub_add_distr' 'h4/thm/arithmetic/SUB_PLUS_'
0. 'coq/Coq_ZArith_BinInt_Zpos_eq_iff' 'h4/thm/binary_ieee/rounding2num_11_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ge_le_iff' 'h4/thm/real/real_ge_'
0. 'coq/Coq_ZArith_BinInt_Z_lnot_lxor_r' 'h4/thm/arithmetic/ADD_SUC_'
0. 'coq/Coq_ZArith_Zlogarithm_log_near_correct1'#@#variant 'h4/thm/integer/INT_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_neq' 'h4/thm/prim_rec/LESS_NOT_EQ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_le_iff' 'h4/thm/real/REAL_MIN_LE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_opp_r' 'h4/thm/extreal/sub_rneg_'
0. 'coq/Coq_NArith_BinNat_N_mul_lt_mono_pos_r' 'h4/thm/logroot/EXP_LT_ISO_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_pos'#@#variant 'h4/thm/transc/EXP_LT_1_'#@#variant
0. 'coq/Coq_ZArith_Zdiv_Zdiv_1_r' 'h4/thm/rat/RAT_ADD_RID_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_inj_wd' 'h4/thm/numeral/numeral_eq_6'
0. 'coq/Coq_ZArith_BinInt_Z_rem_0_l' 'h4/thm/integer/INT_DIV_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_le_mono' 'h4/thm/bit/TWOEXP_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div_pos'#@#variant 'h4/thm/integer/INT_LTE_ADD_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pos_pred_succ' 'h4/thm/toto/cpn_BIJ_0'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_sub_max'#@#variant 'h4/thm/DeepSyntax/deep_form_size_def_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_opp' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_PArith_BinPos_Pos_add_succ_l' 'h4/thm/integer/INT_NEG_LMUL_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_xO'#@#variant 'h4/thm/extreal/extreal_exp_def_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_eq_0_l' 'h4/thm/transc/RPOW_NZ_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zgt_irrefl' 'h4/thm/extreal/lt_refl_'
0. 'coq/Coq_Reals_Rtrigo1_sin_lb_gt_0'#@#variant 'h4/thm/transc/TAN_POS_PI2_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_cancel_l' 'h4/thm/rat/RAT_EQ_LADD_'
0. 'coq/Coq_ZArith_Znat_Z_N_nat' 'h4/thm/rat/RAT_SGN_CALCULATE_'
0. 'coq/Coq_ZArith_BinInt_Z_pred_le_mono' 'h4/thm/arithmetic/LESS_MONO_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_1' 'h4/thm/transc/SQRT_0_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_cancel_l' 'h4/thm/arithmetic/EQ_ADD_LCANCEL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_neq' 'h4/thm/prim_rec/LESS_NOT_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_refl' 'h4/thm/integer/TINT_EQ_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lxor_eq_0_iff' 'h4/thm/arithmetic/ABS_DIFF_EQ_0_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_div_same'#@#variant 'h4/thm/real/REAL_DIV_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_divide_l' 'h4/thm/arithmetic/SUB_LESS_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_lt_mono_pos_r'#@#variant 'h4/thm/real/REAL_LE_RMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_lxor_r' 'h4/thm/integer/INT_NEG_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_succ_diag_r' 'h4/thm/prim_rec/LESS_SUC_SUC_0'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_abs' 'h4/thm/extreal/extreal_abs_def_0'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_iff' 'h4/thm/real/eq_ints_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_nonpos_nonneg'#@#variant 'h4/thm/real/REAL_NEG_LT0_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rmult_lt_compat_r'#@#variant 'h4/thm/arithmetic/DIV_LE_MONOTONE_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_pred' 'h4/thm/numRing/num_rewrites_tLLRRRRRR'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_succ_l' 'h4/thm/complex/COMPLEX_NEG_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_0_r'#@#variant 'h4/thm/arithmetic/MOD_ONE_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_div2_nonneg'#@#variant 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Bool_Bool_andb_diag' 'h4/thm/real/REAL_MAX_REFL_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_ge' 'h4/thm/realax/REAL_ISO_EQ_'
0. 'coq/Coq_NArith_BinNat_N_negb_odd' 'h4/thm/ratRing/rat_ring_thms_e17'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_quot_str_pos' 'h4/thm/bit/DIV_GT0_'
0. 'coq/Coq_ZArith_BinInt_Z_sgn_opp' 'h4/thm/numeral/numeral_distrib_16'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_1_l'#@#variant 'h4/thm/numeral/texp_help_def_0'
0. 'coq/Coq_ZArith_Znat_Nat2Z_id' 'h4/thm/complex/RE_COMPLEX_OF_REAL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_abs_0_iff' 'h4/thm/real/REAL_NEG_EQ0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_double_mul' 'h4/thm/arithmetic/PRE_SUB_'
0. 'coq/Coq_QArith_Qcanon_Q_apart_0_1'#@#variant 'h4/thm/binary_ieee/float_value_distinct_e2'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_lt_cancel' 'h4/thm/arithmetic/LESS_MONO_REV_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_add_r' 'h4/thm/divides/DIVIDES_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_lt_mono_r' 'h4/thm/real/REAL_LE_SUB_CANCEL2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_le_mono' 'h4/thm/hrat/TRAT_INV_WELLDEFINED_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lnot_neg'#@#variant 'h4/thm/real/REAL_NEG_LE0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_trichotomy' 'h4/thm/real/REAL_LT_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sub_lt' 'h4/thm/arithmetic/SUB_LESS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_divide_mono_r' 'h4/thm/arithmetic/LESS_MONO_MULT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_le_mono' 'h4/thm/numeral/numeral_lt_3'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_cancel_r' 'h4/thm/real/REAL_EQ_RADD_'
0. 'coq/Coq_Reals_Rbasic_fun_Rle_abs' 'h4/thm/prim_rec/LESS_SUC_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_le_iff' 'h4/thm/arithmetic/MIN_LE_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_0_r'#@#variant 'h4/thm/numeral/numeral_distrib_11'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div2_double' 'h4/thm/numeral_bit/NUMERAL_iDIV2_2'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_1_r' 'h4/thm/extreal/mul_rzero_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_0_2' 'h4/thm/transc/PI2_BOUNDS_e1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_nonneg_l'#@#variant 'h4/thm/real/REAL_LE_LMUL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_1_r' 'h4/thm/HolSmt/r080_'
0. 'coq/Coq_Reals_Ratan_atan_increasing' 'h4/thm/numpair/tri_LT_I_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_testbit_even_0'#@#variant 'h4/thm/quote/index_compare_def_4'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_lt_mono_pos_l'#@#variant 'h4/thm/integer/INT_LE_MONO_'#@#variant
0. 'coq/Coq_ZArith_Znat_Zabs2Nat_id' 'h4/thm/binary_ieee/rounding_BIJ_0'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_0_1' 'h4/thm/transc/PI2_BOUNDS_e1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_succ_l' 'h4/thm/complex/COMPLEX_NEG_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_max_r' 'h4/thm/integer/INT_DIVIDES_MUL_e1'
0. 'coq/Coq_Sets_Uniset_seq_refl' 'h4/thm/rich_list/IS_PREFIX_REFL_'
0. 'coq/Coq_PArith_BinPos_Pos_pred_of_succ_nat' 'h4/thm/util_prob/lg_pow_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_lt_mono' 'h4/thm/integerRing/int_rewrites_tLRRRRLRRR'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_1_l'#@#variant 'h4/thm/extreal/sub_lzero_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_pred_inj_wd' 'h4/thm/toto/num_dt_11_e1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_mul_l' 'h4/thm/arithmetic/LESS_IMP_LESS_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_pos_cancel_r'#@#variant 'h4/thm/real/REAL_LT_RDIV_0_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_opp_inj_wd' 'h4/thm/numeral/numeral_eq_6'
0. 'coq/Coq_Reals_RIneq_Rmult_lt_reg_l'#@#variant 'h4/thm/float/REAL_LE_LCANCEL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mod_1_r'#@#variant 'h4/thm/integer/INT_MOD_1_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lor_diag' 'h4/thm/real/REAL_MIN_REFL_'
0. 'coq/Coq_Bool_Bool_eqb_refl' 'h4/thm/integer/INT_LE_SQUARE_'#@#variant
0. 'coq/Coq_QArith_Qcanon_Q_apart_0_1'#@#variant 'h4/thm/binary_ieee/float_compare_distinct_1'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_phi' 'h4/thm/ASCIInumbers/toNum_toString_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_cancel_l' 'h4/thm/integer/INT_EQ_LADD_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_opp' 'h4/thm/extreal/extreal_ainv_def_e2'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_add_le' 'h4/thm/real/REAL_ABS_TRIANGLE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_nlt_ge' 'h4/thm/HolSmt/r115_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_nlt_ge' 'h4/thm/real/real_lte_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_nge' 'h4/thm/integer/INT_NOT_LT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_factor_r' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_nlt_ge' 'h4/thm/real/real_lt_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_setbit_spec_prime'#@#variant 'h4/thm/extreal/sub_rneg_'
0. 'coq/Coq_Reals_SeqProp_CV_mult' 'h4/thm/seq/SER_SUB_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_id' 'h4/thm/gcd/GCD_REF_'
0. 'coq/Coq_QArith_Qcanon_Q_apart_0_1'#@#variant 'h4/thm/toto/all_cpn_distinct_2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_neq_succ_diag_r' 'h4/thm/prim_rec/SUC_ID_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_lt_mono_l' 'h4/thm/arithmetic/ADD_MONO_LESS_EQ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_pred_l' 'h4/thm/arithmetic/PRE_SUB_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_nonneg_nonneg' 'h4/thm/arithmetic/LESS_MULT2_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_alt_dichotomy' 'h4/thm/extreal/le_total_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_1_l'#@#variant 'h4/thm/rat/RAT_SUB_LID_'#@#variant
0. 'coq/Coq_ZArith_Znumtheory_prime_mult' 'h4/thm/gcd/P_EUCLIDES_'
0. 'coq/Coq_PArith_BinPos_Pos_lt_total' 'h4/thm/realax/REAL_LT_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_eq_mul_0' 'h4/thm/integer/INT_ENTIRE_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_1_l' 'h4/thm/integer/INT_SUB_REDUCE_1'
0. 'coq/Coq_ZArith_BinInt_Z_mul_le_mono_pos_l'#@#variant 'h4/thm/logroot/LT_EXP_ISO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lor_eq_0_iff' 'h4/thm/arithmetic/ADD_EQ_0_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div2_nonneg'#@#variant 'h4/thm/real/REAL_LE_INV_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_clearbit_spec_prime'#@#variant 'h4/thm/frac/frac_sub_def_'
0. 'coq/Coq_ZArith_BinInt_Z_pow_mul_r' 'h4/thm/arithmetic/DIV_DIV_DIV_MULT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_neq_succ_0' 'h4/thm/transc/EXP_NZ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_lteq' 'h4/thm/integer/INT_LE_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_nge' 'h4/thm/HolSmt/r096_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_null'#@#variant 'h4/thm/intExtension/INT_SGN_CLAUSES_e2'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_1_r' 'h4/thm/HolSmt/r214_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_0_l' 'h4/thm/rat/RAT_SUB_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_le_compat_r' 'h4/thm/hrat/TRAT_ADD_WELLDEFINED_'#@#variant
0. 'coq/Coq_Bool_Bool_diff_true_false' 'h4/thm/toto/all_cpn_distinct_tRRL'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mod_1_r'#@#variant 'h4/thm/numeral/numeral_distrib_11'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_lt_mono_r' 'h4/thm/hreal/HRAT_LT_RMUL_'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_minus_one_neq_zero'#@#variant 'h4/thm/extreal/ne_02_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_succ_lt_mono' 'h4/thm/arithmetic/LESS_MONO_EQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_cancel_r' 'h4/thm/real/REAL_EQ_RADD_'
0. 'coq/Coq_Bool_Bool_orb_false_iff' 'h4/thm/gcd/GCD_EQ_0_'
0. 'coq/Coq_Reals_R_sqr_Rsqr_abs' 'h4/thm/numeral/numeral_add_6'#@#variant
0. 'coq/Coq_Reals_Rpower_arcsinh_sinh' 'h4/thm/transc/LN_EXP_'
0. 'coq/Coq_NArith_Ndist_ni_min_idemp' 'h4/thm/real/REAL_MIN_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_lt_cancel' 'h4/thm/arithmetic/LESS_MONO_REV_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_neq_succ_diag_l' 'h4/thm/prim_rec/SUC_ID_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_pos_le' 'h4/thm/divides/DIVIDES_LE_'
0. 'coq/Coq_Reals_ROrderedType_ROrder_TO_le_lteq' 'h4/thm/integer/INT_LE_LT_'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_one_neq_zero' 'h4/thm/binary_ieee/float_compare_distinct_3'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_sub_le_add_l' 'h4/thm/arithmetic/SUB_RIGHT_LESS_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_cancel_l' 'h4/thm/rat/RAT_EQ_LADD_'
0. 'coq/Coq_QArith_QArith_base_Qplus_lt_r' 'h4/thm/hreal/HRAT_LT_LMUL_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_succ' 'h4/thm/extreal/extreal_abs_def_0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_lcm_r' 'h4/thm/integer/INT_DIVIDES_MUL_e1'
0. 'coq/Coq_Reals_Rtrigo_calc_sqrt2_neq_0'#@#variant 'h4/thm/ieee/ccode_distinct_4'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_double_size_level' 'h4/thm/complex/COMPLEX_OF_REAL_NEG_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_le_ngt' 'h4/thm/real/real_lte_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_simpl_r' 'h4/thm/real/REAL_ADD_SUB_ALT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_simpl_l' 'h4/thm/complex/COMPLEX_ADD_SUB_'#@#variant
0. 'coq/Coq_Strings_Ascii_ascii_N_embedding' 'h4/thm/prelim/ordering_BIJ_0'
0. 'coq/Coq_fourier_Fourier_util_Rle_zero_1' 'h4/thm/extreal/lt_infty_2'
0. 'coq/Coq_Reals_RIneq_INR_IZR_INZ' 'h4/thm/complex/MODU_NUM_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_lcm_l' 'h4/thm/realax/HREAL_LT_ADDL_'
0. 'coq/Coq_Reals_Rpower_Rpower_plus' 'h4/thm/transc/RPOW_SUB_'
0. 'coq/Coq_ZArith_BinInt_Z_nlt_ge' 'h4/thm/integer/INT_NOT_LE_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_succ_le_mono' 'h4/thm/arithmetic/LESS_EQ_MONO_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_le_mono_pos_r'#@#variant 'h4/thm/intExtension/INT_LT_RMUL_EXP_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qle_minus_iff'#@#variant 'h4/thm/int_arith/le_move_all_right_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_le_mono_l' 'h4/thm/arithmetic/LESS_MONO_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_cancel_l' 'h4/thm/integer/INT_EQ_LADD_'
0. 'coq/Coq_ZArith_Zcompare_Zcompare_succ_compat' 'h4/thm/toto/numeralOrd_6'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lcm_diag' 'h4/thm/HolSmt/r216_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rinv_0_lt_compat'#@#variant 'h4/thm/real/REAL_INV_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_pow' 'h4/thm/arithmetic/ADD_CLAUSES_2'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_0_1' 'h4/thm/prim_rec/LESS_0_0_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_add_lt_sub_r' 'h4/thm/integer/INT_LT_ADD_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_cancel_r' 'h4/thm/rat/RAT_EQ_RADD_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_is_pos'#@#variant 'h4/thm/real/REAL_POS_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_trichotomy' 'h4/thm/arithmetic/LESS_CASES_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_1_r' 'h4/thm/integer/INT_SUB_RZERO_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_lt_mono_r' 'h4/thm/hreal/HRAT_LT_RADD_'
0. 'coq/Coq_Reals_RIneq_Rplus_lt_compat_r' 'h4/thm/hrat/TRAT_MUL_WELLDEFINED_'#@#variant
0. 'coq/Coq_Reals_Rminmax_Rmax_r' 'h4/thm/real/REAL_MAX_ALT_0'
0. 'coq/Coq_Numbers_Cyclic_ZModulo_ZModulo_Ptail_pos'#@#variant 'h4/thm/binary_ieee/zero_le_twopow_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_succ_not_1' 'h4/thm/quote/index_distinct_e2'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_1_l' 'h4/thm/extreal/sub_lzero_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_1_l' 'h4/thm/HolSmt/r221_'
0. 'coq/Coq_NArith_BinNat_N_log2_up_lt_lin'#@#variant 'h4/thm/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_le_mono' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_ZArith_Zlogarithm_log_near_correct1'#@#variant 'h4/thm/realax/REAL_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_0_mul_prime'#@#variant 'h4/thm/arithmetic/ZERO_LESS_MULT_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lt_total' 'h4/thm/extreal/lt_total_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_gt_lt_iff' 'h4/thm/string/string_gt_def_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_cancel_l' 'h4/thm/integer/INT_LT_LADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_nonneg' 'h4/thm/integral/LT_0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_nonneg' 'h4/thm/divides/ZERO_LT_PRIMES_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_sub_1_r' 'h4/thm/arithmetic/DIV2_def_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_succ_r' 'h4/thm/arithmetic/EXP_e1'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_eq_0_gt_0_cases' 'h4/thm/arithmetic/LESS_0_CASES_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sub_max_distr_l' 'h4/thm/transc/RPOW_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_succ' 'h4/thm/prim_rec/PRE_e1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_neq_0_succ' 'h4/thm/intto/BIT1_nz_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_sub_lt_add_r' 'h4/thm/integer/INT_LT_SUB_RADD_'
0. 'coq/Coq_PArith_BinPos_Pos_xI_succ_xO' 'h4/thm/numeral/numeral_suc_1'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_square_spec' 'h4/thm/real/REAL_DOUBLE_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mod_1_l'#@#variant 'h4/thm/arithmetic/ZERO_MOD_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pos_pred_succ' 'h4/thm/prelim/ordering_BIJ_0'
0. 'coq/Coq_NArith_BinNat_N_double_mul' 'h4/thm/complex/COMPLEX_NEG_LDIV_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_cos_shift'#@#variant 'h4/thm/transc/COS_SIN_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_le_trans' 'h4/thm/integer/INT_LTE_TRANS_'
0. 'coq/Coq_ZArith_BinInt_Z_lnot_neg'#@#variant 'h4/thm/real/REAL_NEG_LT0_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_xI_succ_xO' 'h4/thm/numRing/num_rewrites_tLRLRR'
0. 'coq/Coq_NArith_BinNat_N_lt_asymm' 'h4/thm/hreal/HRAT_LT_GT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_div2_div'#@#variant 'h4/thm/arithmetic/DIV2_def_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_red' 'h4/thm/quote/index_size_def_1'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_diag' 'h4/thm/real/REAL_MIN_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gt_lt_iff' 'h4/thm/real/real_gt_'
0. 'coq/Coq_QArith_QArith_base_Qeq_refl' 'h4/thm/extreal/le_refl_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sub_add_distr' 'h4/thm/arithmetic/SUB_RIGHT_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mod_1_l'#@#variant 'h4/thm/arithmetic/ZERO_MOD_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_succ_l' 'h4/thm/complex/COMPLEX_NEG_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_glb' 'h4/thm/divides/DIVIDES_ADD_1_'
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_pos'#@#variant 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_refl' 'h4/thm/rat/RAT_LEQ_REF_'
0. 'coq/Coq_ZArith_Zlogarithm_log_near_correct1'#@#variant 'h4/thm/complex/MODU_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_land_diag' 'h4/thm/real/REAL_MIN_REFL_'
0. 'coq/Coq_Numbers_Cyclic_DoubleCyclic_DoubleBase_wwB_wBwB'#@#variant 'h4/thm/real/REAL_OF_NUM_SUC_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lcm_eq_0' 'h4/thm/extreal/entire_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_PI_neq0' 'h4/thm/ieee/ccode_distinct_2'
0. 'coq/Coq_NArith_BinNat_N_succ_inj_wd' 'h4/thm/string/EXPLODE_11_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_Zpos' 'h4/thm/real/le_int_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_lt_mono_l' 'h4/thm/integer/LT_LADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_eq_cases' 'h4/thm/integral/LE_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_clearbit_spec_prime'#@#variant 'h4/thm/frac/frac_div_def_'
0. 'coq/Coq_Arith_PeanoNat_Nat_setbit_spec_prime'#@#variant 'h4/thm/real/real_div_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_gcd_0_l' 'h4/thm/realax/TREAL_ADD_LID_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_double_mul' 'h4/thm/extreal/mul_lneg_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_lcm_l' 'h4/thm/integer/INT_DIVIDES_MUL_0'
0. 'coq/Coq_Bool_Bool_diff_true_false' 'h4/thm/toto/cpn_distinct_1'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pow_lt_mono_r_iff'#@#variant 'h4/thm/integer/INT_LT_MONO_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rgt_asym' 'h4/thm/hreal/HRAT_LT_GT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_lt_mono_l' 'h4/thm/arithmetic/LE_ADD_LCANCEL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_lt_mono_pos_l'#@#variant 'h4/thm/logroot/LT_EXP_ISO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_succ_le_mono' 'h4/thm/numpair/tri_LT_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_add_diag_r' 'h4/thm/extreal/le_max1_'
0. 'coq/Coq_PArith_BinPos_Pos_add_le_mono_l' 'h4/thm/real/REAL_LE_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lor_diag' 'h4/thm/arithmetic/MAX_IDEM_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pos_pred_succ' 'h4/thm/frac/frac_tybij_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_max_l' 'h4/thm/arithmetic/LESS_EQ_ADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_div2_double'#@#variant 'h4/thm/transc/ATN_TAN_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_lt_mono_r_iff'#@#variant 'h4/thm/logroot/LT_EXP_ISO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_le_lin'#@#variant 'h4/thm/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_eq_le_incl' 'h4/thm/integer/INT_EQ_IMP_LE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_clearbit_spec_prime'#@#variant 'h4/thm/real/REAL_SUB_RNEG_'
0. 'coq/Coq_Reals_Rpower_exp_Ropp' 'h4/thm/sptree/lrnext_thm_3'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_lor'#@#variant 'h4/thm/transc/LN_DIV_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_le_mono' 'h4/thm/integer/TINT_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_nonneg' 'h4/thm/arithmetic/FACT_LESS_'
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_Ropp' 'h4/thm/numeral/numeral_add_6'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_id' 'h4/thm/realax/TREAL_BIJ_0'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lxor_lnot_lnot' 'h4/thm/complex/COMPLEX_NEG_MUL2_'#@#variant
0. 'coq/Coq_Reals_Raxioms_R1_neq_R0' 'h4/thm/prelim/ordering_distinct_1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div_1_r' 'h4/thm/HolSmt/r080_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_divide_refl' 'h4/thm/integer/INT_LE_REFL_'
0. 'coq/Coq_ZArith_Zlogarithm_log_near_correct1'#@#variant 'h4/thm/real/REAL_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_pred' 'h4/thm/sptree/lrnext_thm_e4'#@#variant
0. 'coq/Coq_NArith_BinNat_N_max_lub_lt_iff' 'h4/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_ZArith_Zorder_Zmult_lt_0_le_compat_r'#@#variant 'h4/thm/extreal/le_rmul_imp_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div2_succ_double' 'h4/thm/numeral_bit/NUMERAL_iDIV2_2'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_1_l' 'h4/thm/real/REAL_DIV_LZERO_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_succ_r' 'h4/thm/complex/COMPLEX_MUL_RNEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_Odd_succ' 'h4/thm/binary_ieee/exp_gt2_'#@#variant
0. 'coq/Coq_Init_Datatypes_CompOpp_involutive' 'h4/thm/rat/RAT_AINV_AINV_'
0. 'coq/Coq_Reals_Rtrigo1_sin_ge_0'#@#variant 'h4/thm/transc/SIN_POS_PI_LE_'#@#variant
0. 'coq/Coq_QArith_Qminmax_Q_max_le_compat_r' 'h4/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_gt_lt_iff' 'h4/thm/integer/int_gt_'
0. 'coq/Coq_QArith_QArith_base_Qle_not_lt' 'h4/thm/arithmetic/LESS_EQ_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lnot_0_l' 'h4/thm/extreal/sub_lzero_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_odd' 'h4/thm/rat/RAT_SGN_CALCULATE_'
0. 'coq/Coq_ZArith_Zorder_Zplus_gt_compat_r' 'h4/thm/extreal/le_radd_imp_'
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_Ropp' 'h4/thm/numeral/numeral_add_12'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_inj_l' 'h4/thm/integer/INT_EQ_RMUL_IMP_'#@#variant
0. 'coq/Coq_Arith_Gt_gt_Sn_O' 'h4/thm/transc/ATN_BOUNDS_e1'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_xO_r' 'h4/thm/complex/COMPLEX_NEG_RMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_le_mono_l' 'h4/thm/integer/INT_LT_LADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_irrefl' 'h4/thm/integer/INT_LT_REFL_'
0. 'coq/Coq_NArith_BinNat_N_gcd_1_l' 'h4/thm/integer/INT_MUL_LZERO_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_1_l' 'h4/thm/integer/INT_DIVIDES_1_0'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_le_sub_le_add_r' 'h4/thm/integer/INT_LE_SUB_RADD_'
0. 'coq/Coq_ZArith_BinInt_Z_add_pred_l' 'h4/thm/real/REAL_MUL_LNEG_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_0_l' 'h4/thm/integer/INT_DIVIDES_1_0'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_add_cancel_r' 'h4/thm/divides/DIVIDES_ADD_2_'
0. 'coq/Coq_QArith_Qreduction_Qred_opp' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRL'
0. 'coq/Coq_ZArith_BinInt_Z_sub_simpl_r' 'h4/thm/integer/INT_SUB_ADD_'
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_l' 'h4/thm/real/REAL_LE_LADD_IMP_'
0. 'coq/Coq_NArith_BinNat_N_div2_div'#@#variant 'h4/thm/arithmetic/ADD1_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_nonneg_nonneg' 'h4/thm/arithmetic/LESS_MULT2_'
0. 'coq/Coq_Arith_Plus_plus_le_compat_r' 'h4/thm/integer/TINT_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ldiff_land' 'h4/thm/HolSmt/r131_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_id' 'h4/thm/arithmetic/MAX_IDEM_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_succ_l' 'h4/thm/prim_rec/SUC_LESS_'
0. 'coq/Coq_Reals_Rpower_exp_Ropp' 'h4/thm/numRing/num_rewrites_tRRLRR'
0. 'coq/Coq_ZArith_BinInt_Z_quot_le_mono'#@#variant 'h4/thm/integral/REAL_LE_RMUL1_'#@#variant
0. 'coq/Coq_Init_Peano_le_pred' 'h4/thm/transc/EXP_MONO_IMP_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_double_mul' 'h4/thm/real/REAL_MUL_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_cancel_l' 'h4/thm/realax/HREAL_EQ_LADD_'
0. 'coq/Coq_Reals_RIneq_Rnot_lt_le' 'h4/thm/integer/INT_LET_TOTAL_'
0. 'coq/Coq_ZArith_BinInt_Z_land_diag' 'h4/thm/arithmetic/MAX_IDEM_'
0. 'coq/Coq_PArith_BinPos_Pos_square_spec' 'h4/thm/numeral/iDUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_sub_distr' 'h4/thm/integer/INT_SUB_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_shuffle3' 'h4/thm/HolSmt/r086_'
0. 'coq/Coq_NArith_BinNat_N_sqrt_1' 'h4/thm/integer/INT_NEG_0_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sub_le_mono_r' 'h4/thm/hrat/TRAT_MUL_WELLDEFINED_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_le_mono_r' 'h4/thm/rat/RAT_LES_RADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lcm_eq_0' 'h4/thm/intExtension/INT_NO_ZERODIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_le_mono' 'h4/thm/integer/TINT_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_mul_l' 'h4/thm/arithmetic/LESS_IMP_LESS_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_ngt' 'h4/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_Reals_Raxioms_R1_neq_R0' 'h4/thm/ieee/roundmode_distinct_1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_le_mono_l' 'h4/thm/hrat/TRAT_MUL_WELLDEFINED_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_of_Q' 'h4/thm/pred_set/pair_to_num_inv_0'#@#variant
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_l2i_i2l'#@#variant 'h4/thm/prelim/ordering_BIJ_0'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_add_0_l' 'h4/thm/integer/TINT_ADD_LID_'#@#variant
0. 'coq/Coq_QArith_Qcanon_canon' 'h4/thm/complex/CONJ_REAL_REFL_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_pos_pos' 'h4/thm/integer/TINT_LT_MUL_'#@#variant
0. 'coq/Coq_ZArith_Zpow_facts_Zpower_pos_pos'#@#variant 'h4/thm/extreal/pow_pos_le_'#@#variant
0. 'coq/Coq_Reals_RIneq_Ropp_mult_distr_r_reverse' 'h4/thm/extreal/mul_rneg_'
0. 'coq/Coq_Reals_Rbasic_fun_Ropp_Rmax' 'h4/thm/complex/COMPLEX_EXP_ADD_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_neq' 'h4/thm/real/REAL_LT_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_quot_same'#@#variant 'h4/thm/real/REAL_DIV_REFL_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rmult_le_compat_r'#@#variant 'h4/thm/extreal/le_rmul_imp_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_le_min_r' 'h4/thm/real/REAL_MIN_LE2_'
0. 'coq/Coq_Reals_Raxioms_R1_neq_R0' 'h4/thm/binary_ieee/float_compare_distinct_2'
0. 'coq/Coq_QArith_Qcanon_Qcmult_div_r'#@#variant 'h4/thm/real/REAL_DIV_LMUL_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_pos_spec' 'h4/thm/complex/MODU_REAL_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_glb_iff' 'h4/thm/extreal/le_min_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_null'#@#variant 'h4/thm/intExtension/INT_SGN_CLAUSES_0'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_Odd_succ' 'h4/thm/numeral/numeral_distrib_21'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_comparec' 'h4/thm/toto/qk_numOrd_def_'
0. 'coq/Coq_Reals_RIneq_Rgt_or_ge' 'h4/thm/real/REAL_LTE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_double_spec'#@#variant 'h4/thm/extreal/inv_1over_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_compare_xI_xI' 'h4/thm/quote/index_compare_def_5'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_refl' 'h4/thm/rat/RAT_EQUIV_REF_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_succ_r' 'h4/thm/complex/COMPLEX_NEG_RMUL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_opp_pred' 'h4/thm/numeral/numeral_iisuc_1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_succ_diag_r' 'h4/thm/real/REAL_POS_INFLATE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_max_distr_l' 'h4/thm/arithmetic/EXP_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_neq' 'h4/thm/prim_rec/LESS_NOT_EQ_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_neg_iff' 'h4/thm/integer/INT_QUOT_CALCULATE_2'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_lt' 'h4/thm/real/lt_int_0'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_succ_r' 'h4/thm/arithmetic/EXP_e1'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_1' 'h4/thm/extreal/neg_0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_nonneg' 'h4/thm/prim_rec/LESS_0_'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_div2' 'h4/thm/extreal/extreal_ainv_def_e2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_inj_wd' 'h4/thm/numeral/numeral_eq_6'
0. 'coq/Coq_Lists_List_app_nil_end' 'h4/thm/llist/LAPPEND_NIL_2ND_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lcm_least' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_e2'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_succ'#@#variant 'h4/thm/integer/int_of_num_e1'
0. 'coq/Coq_NArith_BinNat_N_pred_succ' 'h4/thm/numeral/DIV2_BIT1_'
0. 'coq/Coq_NArith_BinNat_N_log2_up_le_mono' 'h4/thm/divides/LT_PRIMES_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_lcm_r' 'h4/thm/extreal/le_max2_'
0. 'coq/Coq_ZArith_BinInt_Zminus_succ_l' 'h4/thm/arithmetic/PRE_SUB_'
0. 'coq/Coq_NArith_BinNat_N_add_le_mono_r' 'h4/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_nonneg' 'h4/thm/arithmetic/FACT_LESS_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_log2' 'h4/thm/extreal/extreal_sqrt_def_0'
0. 'coq/Coq_ZArith_BinInt_Z_add_opp_diag_r' 'h4/thm/hreal/HRAT_MUL_RINV_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_succ' 'h4/thm/numeral_bit/NUMERAL_iDIV2_2'
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_add_r' 'h4/thm/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_le_mono_nonneg_l'#@#variant 'h4/thm/logroot/ROOT_LE_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_nle_succ_0' 'h4/thm/integer/INT_ABS_LT0_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_divide_mono_r' 'h4/thm/extreal/le_radd_imp_'
0. 'coq/Coq_NArith_BinNat_N_pow_0_r'#@#variant 'h4/thm/arithmetic/EXP_0'#@#variant
0. 'coq/Coq_Lists_List_length_zero_iff_nil' 'h4/thm/quantHeuristics/LIST_LENGTH_15_210'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_succ' 'h4/thm/string/IMPLODE_EXPLODE_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_le_mono_r' 'h4/thm/arithmetic/LESS_EQ_MONO_ADD_EQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_le_mono_r_iff'#@#variant 'h4/thm/arithmetic/EXP_BASE_LE_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_ge_le_iff' 'h4/thm/arithmetic/GREATER_DEF_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_succ_diag_r' 'h4/thm/prim_rec/LESS_SUC_SUC_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div_1_r' 'h4/thm/integer/INT_SUB_RZERO_'
0. 'coq/Coq_PArith_BinPos_Pos_succ_lt_mono' 'h4/thm/integerRing/int_rewrites_tRRRRRRLRRRR'
0. 'coq/Coq_ZArith_BinInt_Z_succ_pred' 'h4/thm/numeral_bit/NUMERAL_iDIV2_2'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ldiff_land' 'h4/thm/complex/complex_div_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_inv_norm' 'h4/thm/real/REAL_LE_INV_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_lt_le_trans' 'h4/thm/integer/INT_LTE_TRANS_'
0. 'coq/Coq_ZArith_BinInt_Z_shiftl_1_l'#@#variant 'h4/thm/integer/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_lcm_r' 'h4/thm/integer/INT_DIVIDES_MUL_e1'
0. 'coq/Coq_NArith_BinNat_N_succ_lt_mono' 'h4/thm/numeral/numeral_distrib_22'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_div2' 'h4/thm/extreal/extreal_sqrt_def_0'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_nonneg' 'h4/thm/prim_rec/LESS_0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_le_mono' 'h4/thm/real/REAL_LE_NEG2_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_min_l' 'h4/thm/real/REAL_MIN_LE1_'
0. 'coq/Coq_ZArith_Znumtheory_not_prime_0' 'h4/thm/float/ZERO_NOT_NAN_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_le_mono' 'h4/thm/integer/TINT_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_clearbit_spec_prime'#@#variant 'h4/thm/rat/RAT_SUB_ADDAINV_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_r' 'h4/thm/arithmetic/LESS_MONO_ADD_'
0. 'coq/Coq_ZArith_Znat_N2Z_id' 'h4/thm/patricia_casts/num_to_string_string_to_num_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_divide_xO_xO' 'h4/thm/numpair/tri_LE_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_lt_mono_l' 'h4/thm/realax/HREAL_LT_LADD_'
0. 'coq/Coq_PArith_BinPos_Pos_sub_1_r' 'h4/thm/arithmetic/PRE_SUB1_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Zsucc_pred' 'h4/thm/transc/ATN_TAN_'
0. 'coq/Coq_Reals_RIneq_Ropp_involutive' 'h4/thm/real/REAL_INV_INV_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lcm_divide_iff' 'h4/thm/arithmetic/MAX_LE_e1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_rem_abs' 'h4/thm/real/ABS_DIV_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_log2_le_mono' 'h4/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_sub_le_add_l' 'h4/thm/arithmetic/SUB_RIGHT_GREATER_'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_minus_one_neq_zero'#@#variant 'h4/thm/float/not2eqz_'#@#variant
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_iff' 'h4/thm/real/REAL_OF_NUM_EQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_mul_l' 'h4/thm/arithmetic/LESS_IMP_LESS_ADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_lt_mono_l' 'h4/thm/arithmetic/LE_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_pos_pos' 'h4/thm/realax/TREAL_LT_MUL_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_compare_eq_iff' 'h4/thm/quote/compare_index_equal_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_inj_wd' 'h4/thm/numRing/num_rewrites_tRRRRRRRLR'
0. 'coq/Coq_ZArith_BinInt_Z_gcd_1_r' 'h4/thm/real/REAL_MUL_RZERO_'
0. 'coq/Coq_PArith_BinPos_Pos_divide_mul_l' 'h4/thm/divides/DIVIDES_MULT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_le_mono_l' 'h4/thm/hreal/HRAT_LT_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_le_mono_pos_l'#@#variant 'h4/thm/int_arith/justify_divides_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_nge' 'h4/thm/extreal/extreal_lt_def_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_add_r' 'h4/thm/hreal/HRAT_LT_ADDL_'
0. 'coq/Coq_QArith_QArith_base_Qle_not_lt' 'h4/thm/real/REAL_LTE_ANTSYM_'
0. 'coq/Coq_Strings_Ascii_ascii_N_embedding' 'h4/thm/extreal/real_normal_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mod_0_l' 'h4/thm/integer/INT_MOD0_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rplus_lt_0_compat' 'h4/thm/binary_ieee/le2_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qlt_irrefl' 'h4/thm/realax/REAL_LT_REFL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_lteq' 'h4/thm/arithmetic/LESS_OR_EQ_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_cancel_l' 'h4/thm/hreal/HRAT_EQ_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mod_mul' 'h4/thm/integer/INT_REM_COMMON_FACTOR_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_nlt_ge' 'h4/thm/real/real_lt_'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_double'#@#variant 'h4/thm/DeepSyntax/deep_form_size_def_2'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_nle_gt' 'h4/thm/HolSmt/r115_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_le' 'h4/thm/real/lt_int_0'
0. 'coq/Coq_Bool_Bool_diff_false_true' 'h4/thm/binary_ieee/float_compare_distinct_e5'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_le_mono_l' 'h4/thm/integer/INT_LT_LADD_'
0. 'coq/Coq_Bool_Bool_eqb_true_iff' 'h4/thm/real/REAL_SUB_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_eqb_eq' 'h4/thm/quote/index_lt_def_'
0. 'coq/Coq_NArith_Ndigits_Nless_def_2' 'h4/thm/toto/num_dtOrd_e8'
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_refl' 'h4/thm/integer/INT_DIVIDES_REFL_'
0. 'coq/Coq_QArith_Qreduction_Qred_opp' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lor_eq_0_iff' 'h4/thm/arithmetic/ADD_EQ_0_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_succ' 'h4/thm/quote/index_size_def_0'#@#variant
0. 'coq/Coq_NArith_BinNat_N_le_succ_diag_r' 'h4/thm/arithmetic/LESS_EQ_SUC_REFL_'
0. 'coq/Coq_Reals_RIneq_Rinv_le_contravar'#@#variant 'h4/thm/float/REAL_LE_INV2_'#@#variant
0. 'coq/Coq_NArith_Ndigits_Nless_def_1' 'h4/thm/toto/num_dtOrd_e8'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_le_pred' 'h4/thm/arithmetic/LESS_EQ_IMP_LESS_SUC_'
0. 'coq/Coq_QArith_QArith_base_Qplus_lt_r' 'h4/thm/integer/INT_LT_LADD_'
0. 'coq/Coq_ZArith_BinInt_Z_land_diag' 'h4/thm/real/REAL_MIN_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_max_lub_lt_iff' 'h4/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_rem' 'h4/thm/integer/INT_MOD_PLUS_'#@#variant
0. 'coq/Coq_Reals_Raxioms_Rplus_lt_compat_l' 'h4/thm/extreal/le_ladd_imp_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_le_mono_r' 'h4/thm/integer/INT_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_pos_nonneg'#@#variant 'h4/thm/extreal/let_mul_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_Odd_succ' 'h4/thm/binary_ieee/exp_ge2_'#@#variant
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_phi' 'h4/thm/frac/frac_bij_0'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_opp_le_mono' 'h4/thm/integer/INT_LE_NEG_'
0. 'coq/Coq_NArith_BinNat_N_shiftr_div_pow2'#@#variant 'h4/thm/real/REAL_SUB_RNEG_'
0. 'coq/Coq_NArith_BinNat_N_succ_inj_wd' 'h4/thm/numRing/num_rewrites_tRRRRRRRLR'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div2_div'#@#variant 'h4/thm/arithmetic/PRE_SUB1_'#@#variant
0. 'coq/Coq_NArith_Nnat_Nat2N_id' 'h4/thm/toto/cpn_BIJ_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lnot_0_l' 'h4/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_le_mono_r' 'h4/thm/real/REAL_LE_SUB_CANCEL2_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lcm_eq_0' 'h4/thm/intExtension/INT_NO_ZERODIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_succ_r' 'h4/thm/rat/RAT_AINV_RMUL_'
0. 'coq/Coq_QArith_Qminmax_Q_max_le_compat_r' 'h4/thm/extreal/le_radd_imp_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_setbit_spec_prime'#@#variant 'h4/thm/real/REAL_SUB_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_eq_le_incl' 'h4/thm/HolSmt/t006_'
0. 'coq/Coq_Reals_Rbasic_fun_Rmin_left' 'h4/thm/real/REAL_MIN_ALT_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_divide/0' 'h4/thm/extreal/min_le1_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_clearbit_spec_prime'#@#variant 'h4/thm/complex/complex_div_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_iff' 'h4/thm/integer/INT_DIV_CALCULATE_2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_inj_wd' 'h4/thm/toto/num_dt_11_e1'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_succ_diag_r' 'h4/thm/prim_rec/LESS_SUC_SUC_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_id' 'h4/thm/extreal/min_refl_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_succ_l' 'h4/thm/prim_rec/SUC_LESS_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_1_l' 'h4/thm/rat/RAT_SUB_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_lcm_l' 'h4/thm/real/REAL_LE_MAX1_'
0. 'coq/__constr_Coq_Arith_Even_even_1_1' 'h4/thm/transc/LN_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_xO_r' 'h4/thm/arithmetic/ADD_CLAUSES_e3'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_max_l' 'h4/thm/integer/INT_DIVIDES_MUL_0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_eq_0_gt_0_cases' 'h4/thm/arithmetic/LESS_0_CASES_'
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_mul_l' 'h4/thm/arithmetic/LESS_IMP_LESS_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_le_mono_r' 'h4/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_1_l' 'h4/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qcopp_involutive' 'h4/thm/real/REAL_INV_INV_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_clearbit_spec_prime'#@#variant 'h4/thm/HolSmt/r131_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_nonneg_nonpos'#@#variant 'h4/thm/real/REAL_NEG_GE0_'#@#variant
0. 'coq/Coq_Reals_ROrderedType_ROrder_le_refl' 'h4/thm/integer/TINT_EQ_REFL_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_max_le_compat_r' 'h4/thm/extreal/le_radd_imp_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gt_lt_iff' 'h4/thm/rat/rat_geq_def_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_Even_succ' 'h4/thm/binary_ieee/exp_ge2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_negb_odd' 'h4/thm/integerRing/int_ring_thms_e17'#@#variant
0. 'coq/Coq_ZArith_Znat_Z2Nat_inj_pos' 'h4/thm/rat/rat_dnm_def_'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_minus_one_neq_zero'#@#variant 'h4/thm/binary_ieee/float_compare_distinct_1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_le_mono_pos_r'#@#variant 'h4/thm/rat/RAT_LES_RMUL_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_setbit_spec_prime'#@#variant 'h4/thm/frac/frac_sub_def_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_simpl_r' 'h4/thm/real/REAL_ADD_SUB_ALT_'
0. 'coq/Coq_ZArith_BinInt_Z_pred_lt_mono' 'h4/thm/numeral/numeral_lte_3'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_le_mono' 'h4/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rplus_lt_le_0_compat'#@#variant 'h4/thm/extreal/lte_add_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_succ' 'h4/thm/transc/ATN_e2'
0. 'coq/Coq_NArith_BinNat_N_divide_lcm_l' 'h4/thm/extreal/le_max1_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_rem' 'h4/thm/integer/INT_MOD_SUB_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lcm_1_r' 'h4/thm/integer/INT_SUB_REDUCE_0'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_le_compat_r' 'h4/thm/hrat/TRAT_MUL_WELLDEFINED_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_mod' 'h4/thm/integer/INT_MOD_SUB_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_le_compat_l' 'h4/thm/realax/TREAL_LT_ADD_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_opp' 'h4/thm/numRing/num_rewrites_tLRRRRRRLRRRR'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_le_trans' 'h4/thm/real/REAL_LTE_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_0_l' 'h4/thm/HolSmt/r221_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lnot_0_l' 'h4/thm/HolSmt/r221_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_testbit_even_0'#@#variant 'h4/thm/toto/num_dtOrd_3'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_greatest' 'h4/thm/divides/DIVIDES_ADD_1_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_cancel_l' 'h4/thm/hreal/HRAT_EQ_LADD_'
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_double'#@#variant 'h4/thm/util_prob/neg_lg_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_opp_r' 'h4/thm/integer/int_sub_'
0. 'coq/Coq_Reals_RIneq_INR_IZR_INZ' 'h4/thm/rat/RAT_SGN_CALCULATE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_divide_iff' 'h4/thm/arithmetic/MIN_LT_e1'
0. 'coq/Coq_QArith_QArith_base_Qmult_le_r'#@#variant 'h4/thm/real/REAL_LE_RMUL_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zlt_succ_pred' 'h4/thm/bit/TWOEXP_LE_IMP_LE_LOG2_0'#@#variant
0. 'coq/Coq_Reals_RIneq_Ropp_Ropp_IZR' 'h4/thm/DeepSyntax/deep_form_size_def_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_nlt_ge' 'h4/thm/rat/RAT_LEQ_LES_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_1_l' 'h4/thm/rat/RAT_MUL_LZERO_'
0. 'coq/Coq_QArith_QOrderedType_QOrder_le_refl' 'h4/thm/poly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_1_l' 'h4/thm/extreal/sub_lzero_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_0_r'#@#variant 'h4/thm/arithmetic/MOD_ONE_'#@#variant
0. 'coq/Coq_Reals_Rtrigo_calc_Rlt_3PI2_2PI'#@#variant 'h4/thm/real/REAL_THIRDS_BETWEEN_e4'#@#variant
0. 'coq/Coq_ZArith_BinInt_Zmult_integral' 'h4/thm/extreal/add_not_infty_0'
0. 'coq/Coq_NArith_BinNat_N_le_add_r' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_trichotomy' 'h4/thm/arithmetic/LESS_LESS_CASES_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_le_compat_l' 'h4/thm/real/REAL_LT_IADD_'
0. 'coq/Coq_Bool_Bool_xorb_negb_negb' 'h4/thm/arithmetic/SUB_MONO_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_div_same'#@#variant 'h4/thm/integer/INT_DIV_ID_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_le_mono' 'h4/thm/transc/EXP_MONO_IMP_'
0. 'coq/Coq_Reals_RIneq_Rplus_opp_l' 'h4/thm/hreal/HREAL_MUL_LINV_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_1_l' 'h4/thm/real/REAL_DIV_LZERO_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_le_mono_r'#@#variant 'h4/thm/real/REAL_LT_LMUL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_le_mono_l' 'h4/thm/arithmetic/LESS_MONO_ADD_'
0. 'coq/Coq_ZArith_Znat_Zabs2Nat_id' 'h4/thm/prelim/num2ordering_ordering2num_'
0. 'coq/Coq_NArith_BinNat_N_sub_succ' 'h4/thm/arithmetic/SUB_MONO_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_involutive' 'h4/thm/rat/RAT_AINV_AINV_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_le_mono' 'h4/thm/numpair/tri_LT_I_'
0. 'coq/Coq_Reals_RIneq_Rge_not_gt' 'h4/thm/integer/INT_LTE_ANTSYM_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_involutive' 'h4/thm/integer/INT_MUL_CALCULATE_e3'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_diag'#@#variant 'h4/thm/numeral/iDUB_'
0. 'coq/Coq_Arith_PeanoNat_Nat_clearbit_spec_prime'#@#variant 'h4/thm/HolSmt/r224_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_Nbasic_plusnS' 'h4/thm/integer/INT_NEG_RMUL_'
0. 'coq/Coq_NArith_BinNat_N_mul_lt_mono_pos_l'#@#variant 'h4/thm/logroot/LT_EXP_ISO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_rem_1_l'#@#variant 'h4/thm/transc/ONE_RPOW_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_nonneg' 'h4/thm/arithmetic/FACT_LESS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_refl' 'h4/thm/integer/INT_DIVIDES_REFL_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_of_Z' 'h4/thm/binary_ieee/float_compare_BIJ_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_setbit_spec_prime'#@#variant 'h4/thm/real/REAL_SUB_RNEG_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_move_r' 'h4/thm/complex/COMPLEX_EQ_SUB_LADD_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_lt_1_succ' 'h4/thm/transc/ATN_BOUNDS_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_le_lt_mono' 'h4/thm/integer/INT_LET_ADD2_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pred_succ' 'h4/thm/numeral_bit/NUMERAL_iDIV2_2'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_neq_0_succ' 'h4/thm/bit/TWOEXP_NOT_ZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_inj_l' 'h4/thm/real/REAL_EQ_RMUL_IMP_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lt_trichotomy' 'h4/thm/hreal/HRAT_LT_TOTAL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_le_mono' 'h4/thm/arithmetic/LESS_EQ_MONO_'
0. 'coq/Coq_QArith_Qminmax_Q_max_lt_iff' 'h4/thm/real/REAL_LE_MAX_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_nonneg'#@#variant 'h4/thm/integer/INT_NEG_GE0_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_min_lt_iff' 'h4/thm/arithmetic/MIN_LT_0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pred_succ' 'h4/thm/string/IMPLODE_EXPLODE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_neq' 'h4/thm/realax/HREAL_LT_NE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_lteq' 'h4/thm/arithmetic/GREATER_OR_EQ_'
0. 'coq/Coq_QArith_QArith_base_Qlt_alt' 'h4/thm/quote/index_lt_def_'
0. 'coq/Coq_NArith_Nnat_Nat2N_id' 'h4/thm/binary_ieee/float_compare_BIJ_0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_le_mono_l' 'h4/thm/integer/LT_LADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_le_incl' 'h4/thm/rat/RAT_LES_IMP_LEQ_'
0. 'coq/Coq_NArith_BinNat_N_negb_odd' 'h4/thm/numRing/num_ring_thms_e17'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_max_le_compat_r' 'h4/thm/extreal/le_radd_imp_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_ones_equiv'#@#variant 'h4/thm/numeral_bit/NUMERAL_iDIV2_4'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_le_trans' 'h4/thm/integer/INT_LTE_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_le_mono_nonneg_r'#@#variant 'h4/thm/arithmetic/DIV_LE_MONOTONE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_clearbit_spec_prime'#@#variant 'h4/thm/frac/frac_div_def_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_sub_l' 'h4/thm/real/REAL_MIN_LE1_'
0. 'coq/Coq_ZArith_BinInt_Z_max_le_compat_r' 'h4/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_ge_le_iff' 'h4/thm/integer/INT_GT_CALCULATE_'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_double'#@#variant 'h4/thm/util_prob/lg_inv_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_rem_rem' 'h4/thm/integer/INT_MOD_MOD_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_max_le_iff' 'h4/thm/arithmetic/MAX_LE_0'
0. 'coq/Coq_Reals_Rtrigo1_sin_pos_tech'#@#variant 'h4/thm/transc/SIN_POS_PI_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_1' 'h4/thm/real/REAL_NEG_0_'
0. 'coq/Coq_Reals_Rpower_exp_Ropp' 'h4/thm/numRing/num_rewrites_tRRLRRR'
0. 'coq/Coq_Bool_Bool_diff_false_true' 'h4/thm/realax/REAL_10_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_pred_l' 'h4/thm/numpair/nfst_le_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pred_succ' 'h4/thm/numpair/invtri_linverse_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_diag' 'h4/thm/arithmetic/ABS_DIFF_EQS_'
0. 'coq/Coq_QArith_QArith_base_Qplus_le_l' 'h4/thm/arithmetic/LT_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_lcm_l' 'h4/thm/integer/INT_DIVIDES_MUL_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_glb_iff' 'h4/thm/integral/REAL_LT_MIN_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_inj_wd' 'h4/thm/numeral/numeral_eq_e7'
0. 'coq/Coq_PArith_BinPos_Pos_gt_lt_iff' 'h4/thm/arithmetic/GREATER_DEF_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_Zpos' 'h4/thm/real/le_int_0'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pow_lt_mono_r_iff'#@#variant 'h4/thm/int_arith/lt_justify_multiplication_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_le_compat_r' 'h4/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lnot_involutive' 'h4/thm/integer/INT_MOD_CALCULATE_2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_eq_cases' 'h4/thm/arithmetic/LESS_OR_EQ_'
0. 'coq/Coq_Reals_Ratan_atan_opp' 'h4/thm/transc/SIN_NEG_'
0. 'coq/Coq_Reals_Ranalysis4_sinh_lt' 'h4/thm/prim_rec/LESS_MONO_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_succ' 'h4/thm/complex/COMPLEX_OF_REAL_NEG_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_div2' 'h4/thm/complex/COMPLEX_OF_REAL_INV_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_min_id' 'h4/thm/real/REAL_MIN_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_succ_r' 'h4/thm/integer/INT_NEG_RMUL_'
0. 'coq/Coq_MMaps_MMapPositive_PositiveMap_E_bits_lt_antirefl' 'h4/thm/prim_rec/LESS_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_abs_opp' 'h4/thm/numRing/num_rewrites_tLRRRRRRLRRRR'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_le_mono_l' 'h4/thm/hreal/HRAT_LT_LMUL_'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_succ' 'h4/thm/extreal/extreal_inv_def_e2'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_square_spec' 'h4/thm/HolSmt/r216_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_divide_mono_l' 'h4/thm/realax/TREAL_LT_ADD_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_lt_mono_l' 'h4/thm/hreal/HRAT_LT_LADD_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_le_iff' 'h4/thm/real/REAL_MIN_LE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_le_mono_r' 'h4/thm/rat/RAT_LES_RADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_neg_nonpos' 'h4/thm/rat/RAT_LES0_LEQ0_ADD_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_power_norm' 'h4/thm/extreal/pow_pos_le_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_opp_lt_mono' 'h4/thm/extreal/le_neg_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_gcd_divide_r' 'h4/thm/real/REAL_MIN_LE2_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_lt_mono_l' 'h4/thm/real/REAL_LE_LADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_succ_l' 'h4/thm/arithmetic/PRE_SUB_'
0. 'coq/Coq_NArith_BinNat_N_mul_lt_mono_neg_l' 'h4/thm/rat/RAT_LES_LMUL_NEG_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_0_l' 'h4/thm/integer/TINT_ADD_LID_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_pos_pos' 'h4/thm/realax/TREAL_LT_MUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_lt_iff' 'h4/thm/extreal/le_max_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_land_diag' 'h4/thm/extreal/max_refl_'
0. 'coq/Coq_ZArith_BinInt_Z_rem_1_r'#@#variant 'h4/thm/arithmetic/MOD_1_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_compare_eq_iff' 'h4/thm/quote/compare_index_equal_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_pred_l' 'h4/thm/arithmetic/ADD_CLAUSES_2'
0. 'coq/Coq_Reals_Rtrigo1_sin_pos_tech'#@#variant 'h4/thm/transc/SIN_POS_PI2_'#@#variant
0. 'coq/Coq_Arith_Factorial_fact_le' 'h4/thm/real/REAL_POS_MONO_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pred_div2_up' 'h4/thm/complex/COMPLEX_OF_REAL_NEG_'#@#variant
0. 'coq/Coq_ZArith_Znat_Zabs2Nat_id' 'h4/thm/rat/RAT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_glb_lt_iff' 'h4/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lxor_eq_0_iff' 'h4/thm/rat/RAT_EQ_SUB0_'#@#variant
0. 'coq/Coq_Arith_Factorial_fact_neq_0' 'h4/thm/transc/EXP_NZ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_min_l' 'h4/thm/arithmetic/SUB_LESS_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lor_nonneg' 'h4/thm/arithmetic/ZERO_LESS_MULT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_mod' 'h4/thm/integer/INT_MOD_SUB_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_divide_iff' 'h4/thm/arithmetic/MIN_LT_e1'
0. 'coq/Coq_QArith_QArith_base_Qinv_le_0_compat'#@#variant 'h4/thm/real/REAL_LE_INV_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lxor_nilpotent' 'h4/thm/real/REAL_SUB_REFL_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_lt_mono_l' 'h4/thm/real/REAL_LE_LADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_refl' 'h4/thm/arithmetic/LESS_EQ_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_pow_1_r' 'h4/thm/HolSmt/r127_'
0. 'coq/Coq_omega_OmegaLemmas_Zred_factor0' 'h4/thm/integer/INT_SUB_REDUCE_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_lt_mono_pos_r'#@#variant 'h4/thm/logroot/EXP_LT_ISO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_pos_l'#@#variant 'h4/thm/int_arith/lt_justify_multiplication_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pos_pred_succ' 'h4/thm/num/num_ISO_DEF_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_nonneg' 'h4/thm/integral/LT_0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_succ_diag_r' 'h4/thm/bit/BIT_B_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_1_l'#@#variant 'h4/thm/real/REAL_NEG_MINUS1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_sub_le_add_r' 'h4/thm/real/REAL_LT_ADD_SUB_'
0. 'coq/Coq_ZArith_Znat_Z_nat_N' 'h4/thm/realax/real_of_hreal_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_nonzero' 'h4/thm/transc/RPOW_NZ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_factor_l' 'h4/thm/integer/INT_DIVIDES_MUL_0'
0. 'coq/Coq_Sets_Uniset_leb_refl' 'h4/thm/real/REAL_LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_pred_l' 'h4/thm/numpair/nsnd_le_'
0. 'coq/Coq_Lists_Streams_tl_nth_tl' 'h4/thm/sptree/delete_mk_wf_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_nonneg' 'h4/thm/divides/ZERO_LT_PRIMES_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_asymm' 'h4/thm/rat/RAT_LES_ANTISYM_'
0. 'coq/Coq_PArith_BinPos_Pplus_one_succ_l' 'h4/thm/HolSmt/r221_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_sub_r' 'h4/thm/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_1_r' 'h4/thm/extreal/add_rzero_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div2_double' 'h4/thm/transc/LN_EXP_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_lcm_eq_r' 'h4/thm/real/REAL_MAX_ALT_0'
0. 'coq/Coq_Arith_PeanoNat_Nat_negb_odd' 'h4/thm/ratRing/rat_ring_thms_e17'#@#variant
0. 'coq/Coq_Bool_Bool_negb_prop_intro' 'h4/thm/real/REAL_LE_NEGTOTAL_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_compare_lt_iff' 'h4/thm/quote/index_lt_def_'
0. 'coq/Coq_Reals_Raxioms_Rplus_opp_r' 'h4/thm/integer/INT_ADD_RINV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_asymm' 'h4/thm/rat/RAT_LES_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_id' 'h4/thm/arithmetic/MAX_IDEM_'
0. 'coq/Coq_Reals_Ratan_ps_atan_opp' 'h4/thm/numeral_bit/iDUB_NUMERAL_'
0. 'coq/Coq_Reals_Rminmax_R_max_le_iff' 'h4/thm/arithmetic/MAX_LT_0'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_succ_diag_r' 'h4/thm/arithmetic/LESS_EQ_SUC_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftl_1_l'#@#variant 'h4/thm/extreal/sub_lzero_'#@#variant
0. 'coq/Coq_Bool_Bool_diff_false_true' 'h4/thm/extreal/extreal_distinct_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftl_opp_r' 'h4/thm/HolSmt/r224_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_l' 'h4/thm/integer/INT_LT_LADD_IMP_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_log2_2' 'h4/thm/real/REAL_THIRDS_BETWEEN_tLRL'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_le_compat_l' 'h4/thm/realax/REAL_LT_IADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_clearbit_spec_prime'#@#variant 'h4/thm/extreal/extreal_sub_add_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_lteq' 'h4/thm/string/string_le_def_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_le_mono' 'h4/thm/integer/TINT_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qmult_lt_compat_r'#@#variant 'h4/thm/extreal/le_rmul_imp_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_log2_1' 'h4/thm/real/REAL_THIRDS_BETWEEN_tLRL'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_lt_mono_r' 'h4/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mod_0_l' 'h4/thm/integer/INT_QUOT_0_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_lub_lt' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_e2'
0. 'coq/Coq_Bool_Bool_negb_involutive_reverse' 'h4/thm/integer/INT_QUOT_CALCULATE_e4'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_le_mono' 'h4/thm/arithmetic/LESS_EQ_MONO_'
0. 'coq/Coq_Reals_Rbasic_fun_Rmax_right' 'h4/thm/real/REAL_MAX_ALT_0'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_le_compat_r' 'h4/thm/extreal/le_radd_imp_'
0. 'coq/Coq_NArith_BinNat_N_sqrt_1' 'h4/thm/transc/TAN_0_'
0. 'coq/Coq_NArith_BinNat_N_add_succ_l' 'h4/thm/arithmetic/ADD_e1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_setbit_spec_prime'#@#variant 'h4/thm/real/real_div_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_clearbit_spec_prime'#@#variant 'h4/thm/HolSmt/r224_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Zpred_succ' 'h4/thm/numpair/invtri_linverse_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_nonpos_nonneg'#@#variant 'h4/thm/numeral/numeral_distrib_24'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_lt_mono_pos_l'#@#variant 'h4/thm/integer/INT_LE_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_opp_r' 'h4/thm/complex/COMPLEX_NEG_RMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_lteq' 'h4/thm/arithmetic/GREATER_OR_EQ_'
0. 'coq/Coq_NArith_BinNat_N_double_mul' 'h4/thm/arithmetic/ADD_CLAUSES_2'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pred_succ' 'h4/thm/transc/ATN_e2'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_m1_0' 'h4/thm/extreal/thirds_between_tRLR'#@#variant
0. 'coq/Coq_NArith_BinNat_N_max_id' 'h4/thm/extreal/min_refl_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_eq_mul_0_r' 'h4/thm/extreal/add_not_infty_0'
0. 'coq/Coq_Arith_Minus_pred_of_minus'#@#variant 'h4/thm/arithmetic/ADD1_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_le_mono' 'h4/thm/real/REAL_POS_MONO_'
0. 'coq/Coq_ZArith_BinInt_Z_even_1' 'h4/thm/float/FLOAT_INFINITIES_SIGNED_0'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_not_add_l' 'h4/thm/hrat/TRAT_NOZERO_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sub_succ_l' 'h4/thm/complex/COMPLEX_NEG_LMUL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_opp_l' 'h4/thm/HolSmt/r225_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_cancel_l' 'h4/thm/rat/RAT_EQ_LADD_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_xO'#@#variant 'h4/thm/extreal/extreal_sqrt_def_0'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_succ_le_mono' 'h4/thm/integerRing/int_rewrites_tLRRRLRRR'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_le_mono' 'h4/thm/hrat/TRAT_INV_WELLDEFINED_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_opp' 'h4/thm/DeepSyntax/posinf_def_2'
0. 'coq/Coq_PArith_BinPos_Pos_min_glb_lt_iff' 'h4/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_eq_cases' 'h4/thm/extreal/le_lt_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_oppc' 'h4/thm/complex/COMPLEX_OF_REAL_INV_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_of_Q' 'h4/thm/string/CHR_ORD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_0_succ' 'h4/thm/integral/LT_0_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_le_mono' 'h4/thm/bit/TWOEXP_MONO_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_add_le_mono_l' 'h4/thm/hreal/HRAT_LT_LMUL_'
0. 'coq/Coq_Reals_Rbasic_fun_Rmin_r' 'h4/thm/real/REAL_MIN_LE2_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_nge' 'h4/thm/HolSmt/r115_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ge_le_iff' 'h4/thm/integer/int_ge_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_succ_diag_r' 'h4/thm/arithmetic/LESS_EQ_SUC_REFL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_eq_0' 'h4/thm/real/REAL_ENTIRE_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_lt_mono_l' 'h4/thm/hreal/HRAT_LT_LMUL_'
0. 'coq/Coq_Bool_Bool_orb_true_iff' 'h4/thm/arithmetic/MULT_EQ_0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_glb_lt_iff' 'h4/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_lt_mono_r' 'h4/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_involutive' 'h4/thm/extreal/neg_neg_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_le_iff' 'h4/thm/real/REAL_LE_MAX_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_lt_mono' 'h4/thm/numeral/numeral_distrib_28'
0. 'coq/Coq_NArith_BinNat_N_lt_irrefl' 'h4/thm/rat/RAT_LES_REF_'
0. 'coq/Coq_ZArith_BinInt_Z_succ_le_mono' 'h4/thm/integerRing/int_rewrites_tLRRRRLRRR'
0. 'coq/Coq_ZArith_BinInt_Z_lt_add_lt_sub_r' 'h4/thm/integer/INT_LT_ADD_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_succ_lt_mono' 'h4/thm/integerRing/int_rewrites_tRRRRRRLRRRR'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_pred_l' 'h4/thm/complex/COMPLEX_NEG_LMUL_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_pos_l'#@#variant 'h4/thm/transc/RPOW_POS_LT_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_xI_succ_xO' 'h4/thm/numeral/numeral_suc_1'
0. 'coq/Coq_Arith_Plus_le_plus_trans' 'h4/thm/arithmetic/LESS_IMP_LESS_ADD_'
0. 'coq/Coq_ZArith_BinInt_Z_succ_lt_mono' 'h4/thm/integerRing/int_rewrites_tLRRRLRRRR'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_nge' 'h4/thm/rat/RAT_LEQ_LES_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_1_mul_pos'#@#variant 'h4/thm/real/REAL_LTE_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_lcm_r' 'h4/thm/integer/INT_DIVIDES_MUL_e1'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_clearbit_spec_prime'#@#variant 'h4/thm/rat/RAT_SUB_ADDAINV_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_rem_1_r'#@#variant 'h4/thm/integer/INT_MOD_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_1_r' 'h4/thm/real/REAL_MUL_RZERO_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_ngt' 'h4/thm/arithmetic/NOT_LESS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_succ_diag_r' 'h4/thm/bit/BIT_B_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_opp_opp' 'h4/thm/real/REAL_NEG_MUL2_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_id' 'h4/thm/real/REAL_MIN_REFL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_factor_r' 'h4/thm/real/REAL_LE_MAX2_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_negb_odd' 'h4/thm/integerRing/int_ring_thms_e17'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_opp_l' 'h4/thm/complex/COMPLEX_NEG_LDIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lcm_diag' 'h4/thm/real/REAL_MAX_REFL_'
0. 'coq/Coq_ZArith_Znat_Zabs_nat_N' 'h4/thm/rat/rat_dnm_def_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_sub_le_add_r' 'h4/thm/integer/INT_LE_SUB_LADD_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_iff' 'h4/thm/integer/INT_REM_CALCULATE_3'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_1_r'#@#variant 'h4/thm/arithmetic/PRE_SUB1_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_max_lub_lt_iff' 'h4/thm/util_prob/MAX_LE_X_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_ge_cases' 'h4/thm/arithmetic/LESS_EQ_CASES_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div2_div'#@#variant 'h4/thm/arithmetic/DIV2_def_'#@#variant
0. 'coq/Coq_ZArith_Zmax_Zmax_left' 'h4/thm/arithmetic/LESS_MOD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div_small' 'h4/thm/arithmetic/LESS_DIV_EQ_ZERO_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_neq' 'h4/thm/extreal/lt_imp_ne_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div2_spec'#@#variant 'h4/thm/arithmetic/ADD1_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_1_r' 'h4/thm/HolSmt/r223_'
0. 'coq/Coq_QArith_Qround_Qfloor_Z' 'h4/thm/ieee/num2roundmode_roundmode2num_'
0. 'coq/Coq_QArith_QOrderedType_QOrder_le_eq' 'h4/thm/rat/RAT_LES_LEQ_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_le_mono_l' 'h4/thm/hrat/TRAT_ADD_WELLDEFINED_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_id' 'h4/thm/ieee/num2ccode_ccode2num_'
0. 'coq/Coq_fourier_Fourier_util_Rnot_le_le'#@#variant 'h4/thm/extreal/sub_zero_lt_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_eq_mul_0' 'h4/thm/intExtension/INT_NO_ZERODIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftr_opp_r' 'h4/thm/rat/RAT_SUB_ADDAINV_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_glb_iff' 'h4/thm/extreal/le_min_'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_succ' 'h4/thm/quote/index_size_def_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_le_mono_r' 'h4/thm/arithmetic/LT_ADD_RCANCEL_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_double_plus_one' 'h4/thm/toto/num_dt_size_def_e2'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sub_1_r'#@#variant 'h4/thm/arithmetic/ADD1_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_inj_wd' 'h4/thm/integer/INT_EQ_NEG_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_le_compat_l' 'h4/thm/realax/TREAL_LT_ADD_'#@#variant
0. 'coq/Coq_Reals_ROrderedType_Reqb_eq' 'h4/thm/quote/compare_index_equal_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_total' 'h4/thm/arithmetic/LESS_CASES_IMP_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_nonneg' 'h4/thm/integral/LT_0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_sub_le_add_r' 'h4/thm/integer/INT_LE_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_pos_pos' 'h4/thm/realax/TREAL_LT_MUL_'#@#variant
0. 'coq/Coq_Bool_Bool_diff_true_false' 'h4/thm/ieee/roundmode_distinct_e5'
0. 'coq/Coq_NArith_BinNat_N_even_sub' 'h4/thm/integer/INT_SUB_'
0. 'coq/Coq_ZArith_BinInt_Z_opp_inj' 'h4/thm/divides/PRIMES_11_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_1_r' 'h4/thm/integer/INT_ADD_CALCULATE_1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_nonneg'#@#variant 'h4/thm/numeral/numeral_distrib_32'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_neq_succ_diag_r' 'h4/thm/prim_rec/SUC_ID_'
0. 'coq/Coq_Init_Datatypes_CompOpp_iff' 'h4/thm/complex/CONJ_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_nge' 'h4/thm/extreal/extreal_lt_def_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ldiff_m1_l'#@#variant 'h4/thm/rat/RAT_SUB_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_1' 'h4/thm/integerRing/int_calculate_e13'
0. 'coq/Coq_Arith_PeanoNat_Nat_nle_gt' 'h4/thm/arithmetic/NOT_LESS_EQUAL_'
0. 'coq/Coq_Reals_RIneq_Rnot_gt_le' 'h4/thm/HolSmt/t015_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div2_nonneg'#@#variant 'h4/thm/real/REAL_LT_INV_EQ_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_pred_l' 'h4/thm/arithmetic/ADD_e1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_lt_mono_r' 'h4/thm/hreal/HRAT_LT_RMUL_'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_div2' 'h4/thm/toto/num_dt_size_def_e2'#@#variant
0. 'coq/Coq_Reals_Rsqrt_def_Rsqrt_positivity'#@#variant 'h4/thm/complex/MODU_POS_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_succ_l' 'h4/thm/real/REAL_MUL_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_pos_r'#@#variant 'h4/thm/intExtension/INT_LT_RMUL_EXP_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_glb_lt' 'h4/thm/divides/DIVIDES_ADD_1_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_succ_r' 'h4/thm/integer/INT_NEG_RMUL_'
0. 'coq/Coq_NArith_BinNat_N_shiftl_1_l'#@#variant 'h4/thm/extreal/sub_lzero_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_cancel_l' 'h4/thm/integer/EQ_LADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_succ' 'h4/thm/numRing/num_rewrites_tLRLRRRRRR'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_le_mono_r_iff'#@#variant 'h4/thm/rat/RAT_LES_LMUL_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_pred_l' 'h4/thm/integer/INT_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_nonneg'#@#variant 'h4/thm/integer/INT_LT_MUL2_'#@#variant
0. 'coq/Coq_ZArith_Znat_Zabs_N_nat' 'h4/thm/realax/real_of_hreal_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_pred_r' 'h4/thm/frac/FRAC_AINV_RMUL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_pos_r'#@#variant 'h4/thm/intExtension/INT_LT_RMUL_EXP_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_diag' 'h4/thm/rat/RAT_SUB_ID_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_le_nlt' 'h4/thm/rat/RAT_LEQ_LES_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_succ_r' 'h4/thm/arithmetic/ADD_SUC_'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_one_neq_zero' 'h4/thm/ieee/roundmode_distinct_1'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_succ_r' 'h4/thm/complex/COMPLEX_MUL_RNEG_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_iff' 'h4/thm/binary_ieee/float_compare2num_11_'
0. 'coq/Coq_ZArith_Znat_positive_N_Z' 'h4/thm/rat/rat_dnm_def_'
0. 'coq/Coq_ZArith_Znat_Zabs2Nat_id' 'h4/thm/string/CHR_ORD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_nonneg_nonneg' 'h4/thm/integer/TINT_LT_MUL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_inj_wd' 'h4/thm/integer/INT_EQ_CALCULATE_1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftl_opp_r' 'h4/thm/integer/int_sub_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_le_compat_r' 'h4/thm/integer/TINT_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_1_r'#@#variant 'h4/thm/arithmetic/DIV2_def_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qinv_lt_0_compat'#@#variant 'h4/thm/extreal/sqrt_pos_le_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_lt_mono'#@#variant 'h4/thm/real/REAL_LT_MUL2_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_neg_nonpos' 'h4/thm/rat/RAT_LES0_LEQ0_ADD_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_neq_succ_diag_l' 'h4/thm/prim_rec/SUC_ID_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_1_l'#@#variant 'h4/thm/arithmetic/ZERO_DIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_clearbit_spec_prime'#@#variant 'h4/thm/complex/complex_div_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_pos'#@#variant 'h4/thm/transc/EXP_LT_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_neq' 'h4/thm/real/REAL_LT_LE_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_r' 'h4/thm/extreal/le_radd_imp_'
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_nonneg_r'#@#variant 'h4/thm/real/REAL_LE_RMUL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_glb_lt_iff' 'h4/thm/extreal/le_min_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_mul_below' 'h4/thm/real/REAL_SUB_ABS_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_nonneg_nonneg' 'h4/thm/integer/TINT_LT_MUL_'#@#variant
0. 'coq/Coq_QArith_Qabs_Qabs_Qmult' 'h4/thm/real/ABS_TRIANGLE_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_0_l'#@#variant 'h4/thm/arithmetic/ZERO_LESS_EQ_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mod_1_l'#@#variant 'h4/thm/arithmetic/ZERO_MOD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_Zpos' 'h4/thm/int_arith/INT_NUM_DIVIDES_'
0. 'coq/Coq_NArith_BinNat_N_mul_neg_neg'#@#variant 'h4/thm/extreal/le_mul_neg_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_nonpos_nonneg'#@#variant 'h4/thm/integer/INT_NEG_LT0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_clearbit_spec_prime'#@#variant 'h4/thm/HolSmt/r131_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_sin_gt_0'#@#variant 'h4/thm/transc/SIN_POS_PI2_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_lt_mono_r' 'h4/thm/integer/INT_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lxor_lnot_lnot' 'h4/thm/real/REAL_NEG_MUL2_'
0. 'coq/Coq_Reals_Rfunctions_R_dist_refl' 'h4/thm/arithmetic/ABS_DIFF_EQ_0_'
0. 'coq/Coq_ZArith_Znat_Z2N_inj_pos' 'h4/thm/realax/real_of_hreal_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_divide_mono_l' 'h4/thm/real/REAL_LT_IADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_le_lin'#@#variant 'h4/thm/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_compare_lt_iff' 'h4/thm/quote/index_lt_def_'
0. 'coq/Coq_Arith_Gt_gt_n_S' 'h4/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_negb_even' 'h4/thm/frac/frac_sgn_def_'
0. 'coq/Coq_PArith_BinPos_Pos_mul_lt_mono_r' 'h4/thm/rat/RAT_LES_RADD_'
0. 'coq/Coq_Reals_RIneq_Rle_refl' 'h4/thm/extreal/le_refl_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_inj_wd' 'h4/thm/toto/num_dt_11_e1'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_cancel_l' 'h4/thm/arithmetic/EQ_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lcm_divide_iff' 'h4/thm/util_prob/MAX_LE_X_'
0. 'coq/Coq_Reals_Rtrigo_calc_Rlt_3PI2_2PI'#@#variant 'h4/thm/extreal/half_between_tRL'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_clearbit_spec_prime'#@#variant 'h4/thm/HolSmt/r131_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_id' 'h4/thm/extreal/min_refl_'
0. 'coq/Coq_PArith_BinPos_Pos_mul_cancel_l' 'h4/thm/integer/INT_EQ_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_lt_mono' 'h4/thm/integerRing/int_rewrites_tLRRRLRRRR'
0. 'coq/Coq_Arith_PeanoNat_Nat_max_lt_iff' 'h4/thm/arithmetic/MAX_LE_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_lt_mono_pos_l'#@#variant 'h4/thm/int_arith/justify_divides_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_neg'#@#variant 'h4/thm/integer/INT_NEG_LT0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_square_spec' 'h4/thm/numeral/iSQR_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_nonneg_r'#@#variant 'h4/thm/arithmetic/DIV_LE_MONOTONE_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_OT_lt_total' 'h4/thm/real/REAL_LT_TOTAL_'
0. 'coq/Coq_Bool_Bool_andb_false_iff' 'h4/thm/extreal/entire_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div_1_r' 'h4/thm/extreal/add_rzero_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_pos_pos' 'h4/thm/integer/TINT_LT_MUL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_inj_wd' 'h4/thm/quote/index_11_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_mod' 'h4/thm/integer/INT_MOD_PLUS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lcm_1_l' 'h4/thm/rat/RAT_SUB_LID_'
0. 'coq/Coq_PArith_BinPos_Pos_le_lteq' 'h4/thm/real/REAL_LE_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mod_1_l'#@#variant 'h4/thm/arithmetic/ONE_MOD_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_pow_add_r'#@#variant 'h4/thm/util_prob/logr_div_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_lt_mono_r' 'h4/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_le_mono_r' 'h4/thm/real/REAL_LE_SUB_CANCEL2_'
0. 'coq/Coq_NArith_BinNat_N_succ_le_mono' 'h4/thm/numpair/tri_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_nonneg_nonneg' 'h4/thm/arithmetic/LESS_MULT2_'
0. 'coq/Coq_ZArith_BinInt_Z_mod_small'#@#variant 'h4/thm/integer/INT_LESS_MOD_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_le_gt_cases' 'h4/thm/arithmetic/LESS_CASES_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_neq' 'h4/thm/integral/LT_LE_'
0. 'coq/Coq_fourier_Fourier_util_Rlt_zero_pos_plus1'#@#variant 'h4/thm/extreal/sqrt_pos_le_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_eq_0' 'h4/thm/arithmetic/MULT_EQ_0_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_b2n_div2'#@#variant 'h4/thm/extreal/extreal_sub_def_3'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_le_compat_r' 'h4/thm/arithmetic/LESS_MONO_ADD_'
0. 'coq/Coq_ZArith_BinInt_Z_ge_le_iff' 'h4/thm/integer/int_gt_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gt_lt_iff' 'h4/thm/rat/rat_gre_def_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_succ_r' 'h4/thm/real/REAL_MUL_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_divide_iff' 'h4/thm/arithmetic/MIN_LE_e1'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_lt_trans' 'h4/thm/integer/INT_LET_TRANS_'
0. 'coq/Coq_NArith_Ndigits_Ndouble_bit0' 'h4/thm/real/POW_MINUS1_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lt_irrefl' 'h4/thm/string/string_lt_nonrefl_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lcm_diag' 'h4/thm/gcd/GCD_REF_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_le_mono_r' 'h4/thm/rat/RAT_LES_RADD_'
0. 'coq/Coq_ZArith_BinInt_Z_add_nonneg_nonneg' 'h4/thm/arithmetic/LESS_MULT2_'
0. 'coq/Coq_ZArith_BinInt_Z_div2_nonneg'#@#variant 'h4/thm/numeral/numeral_distrib_33'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_double_spec'#@#variant 'h4/thm/arithmetic/SUC_ONE_ADD_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pow_lt_mono'#@#variant 'h4/thm/integer/INT_LT_MUL2_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_involutive' 'h4/thm/integer/INT_MOD_CALCULATE_2'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_sqrt' 'h4/thm/quote/index_size_def_0'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_le_mono_pos_l'#@#variant 'h4/thm/transc/RPOW_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_le_mono_pos_r'#@#variant 'h4/thm/real/REAL_LT_RDIV_'#@#variant
0. 'coq/Coq_Bool_Bool_andb_false_iff' 'h4/thm/real/REAL_ENTIRE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_eq_mul_0' 'h4/thm/real/REAL_ENTIRE_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_le_compat_r' 'h4/thm/hrat/TRAT_ADD_WELLDEFINED_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_lt_mono_l' 'h4/thm/arithmetic/LT_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_r' 'h4/thm/integer/TINT_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_nlt' 'h4/thm/arithmetic/NOT_LESS_EQUAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_refl' 'h4/thm/rat/RAT_LEQ_REF_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_id' 'h4/thm/arithmetic/MIN_IDEM_'
0. 'coq/Coq_ZArith_BinInt_Z_sgn_opp' 'h4/thm/transc/SIN_NEG_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_succ_le_mono' 'h4/thm/numeral/numeral_lte_3'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_quot_1_r' 'h4/thm/integer/INT_ADD_REDUCE_1'
0. 'coq/Coq_Bool_Bool_negb_involutive' 'h4/thm/frac/FRAC_AINV_AINV_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_testbit_even_0'#@#variant 'h4/thm/toto/numeralOrd_4'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_pred_of_succ_nat' 'h4/thm/util_prob/lg_pow_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_nlt_ge' 'h4/thm/arithmetic/NOT_LESS_'
0. 'coq/Coq_ZArith_Zpow_facts_Zpower_le_monotone'#@#variant 'h4/thm/logroot/LOG_LE_MONO_'#@#variant
0. 'coq/Coq_ZArith_Zlogarithm_log_inf_correct/0'#@#variant 'h4/thm/frac/FRAC_DNMPOS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_le_mono_r'#@#variant 'h4/thm/integral/REAL_LE_LMUL1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_total' 'h4/thm/extreal/lt_total_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_add_lt_sub_r' 'h4/thm/integer/INT_LT_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_setbit_spec_prime'#@#variant 'h4/thm/HolSmt/r131_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_1_r' 'h4/thm/HolSmt/r214_'
0. 'coq/Coq_ZArith_Zgcd_alt_fibonacci_pos'#@#variant 'h4/thm/complex/MODU_POS_'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_le_lt_iff' 'h4/thm/integer/int_le_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lnot_lxor_r' 'h4/thm/numpair/napp_thm_e1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lnot_ones' 'h4/thm/hrat/HRAT_MUL_LINV_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_add_cancel_r' 'h4/thm/divides/DIVIDES_ADD_2_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_lt_mono_pos_l'#@#variant 'h4/thm/rat/RAT_LES_LMUL_POS_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_digits/0'#@#variant 'h4/thm/frac/FRAC_DNMPOS_'#@#variant
0. 'coq/Coq_Reals_Rtrigo_def_cosn_no_R0' 'h4/thm/extreal/extreal_distinct_e2'
0. 'coq/Coq_NArith_BinNat_N_pow_0_r'#@#variant 'h4/thm/arithmetic/MOD_ONE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_pos_pred' 'h4/thm/ratRing/rat_ring_thms_e17'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_add_le_sub_r' 'h4/thm/real/REAL_LT_SUB_RADD_'
0. 'coq/Coq_PArith_BinPos_Pos_add_le_mono_r' 'h4/thm/integer/INT_LT_RADD_'
0. 'coq/Coq_NArith_BinNat_N_pred_le_mono' 'h4/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_nonneg' 'h4/thm/divides/ZERO_LT_PRIMES_'
0. 'coq/Coq_NArith_BinNat_N_double_spec'#@#variant 'h4/thm/arithmetic/SUC_ONE_ADD_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_quot_1_r' 'h4/thm/HolSmt/r223_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_le_mono_l' 'h4/thm/arithmetic/LT_ADD_LCANCEL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_sub_r' 'h4/thm/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_land_diag' 'h4/thm/gcd/GCD_REF_'
0. 'coq/Coq_ZArith_BinInt_Z_abs_pow' 'h4/thm/integer/INT_MUL_CALCULATE_1'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_diag' 'h4/thm/real/REAL_MAX_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_le_mono_l' 'h4/thm/hreal/HRAT_LT_LADD_'
0. 'coq/Coq_Sets_Uniset_leb_refl' 'h4/thm/rat/RAT_LEQ_REF_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_id' 'h4/thm/extreal/max_refl_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_pos_pos' 'h4/thm/integer/INT_LT_MUL_'
0. 'coq/__constr_Coq_FSets_FSetPositive_PositiveSet_ct_0_2' 'h4/thm/gcd/IS_GCD_0R_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ldiff_m1_r'#@#variant 'h4/thm/arithmetic/EXP_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div2_spec'#@#variant 'h4/thm/arithmetic/PRE_SUB1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_compare_succ' 'h4/thm/toto/qk_numeralOrd_6'
0. 'coq/Coq_ZArith_Zeven_Zodd_not_Zeven' 'h4/thm/float/FLOAT_DISTINCT_FINITE_0'
0. 'coq/Coq_PArith_BinPos_Pos_pred_succ' 'h4/thm/bit/LOG2_TWOEXP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_greatest' 'h4/thm/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_ZArith_Znumtheory_Zdivide_Zgcd' 'h4/thm/divides/DIVIDES_ADD_1_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_1' 'h4/thm/real/REAL_NEG_0_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_gt' 'h4/thm/real/lt_int_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_le_mono_l' 'h4/thm/hreal/HRAT_LT_LADD_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_iff' 'h4/thm/rat/RAT_EQ_NUM_CALCULATE_0'
0. 'coq/Coq_Reals_RIneq_Rmult_le_compat_l'#@#variant 'h4/thm/logroot/ROOT_LE_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_add_r' 'h4/thm/divides/DIVIDES_SUB_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_1' 'h4/thm/real/REAL_INV_0_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_sub' 'h4/thm/complex/COMPLEX_SUB_ADD_'#@#variant
0. 'coq/Coq_ZArith_Zquot_Zrem_opp_l' 'h4/thm/rat/RAT_AINV_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_pred_l' 'h4/thm/arithmetic/MULT_CLAUSES_4'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_glb_iff' 'h4/thm/integral/REAL_LT_MIN_'
0. 'coq/Coq_Reals_Rtrigo1_sin_ge_0'#@#variant 'h4/thm/transc/COS_POS_PI2_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_1_l' 'h4/thm/HolSmt/r128_'
0. 'coq/Coq_Reals_Rtrigo1_tan_neg' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_pos'#@#variant 'h4/thm/numeral/numeral_distrib_32'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_succ_le_mono' 'h4/thm/numeral/numeral_lt_4'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_diag' 'h4/thm/arithmetic/SUB_EQUAL_0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gt_lt_iff' 'h4/thm/integer/int_gt_'
0. 'coq/Coq_QArith_Qminmax_Q_max_le_iff' 'h4/thm/util_prob/X_LE_MAX_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lnot_ones' 'h4/thm/realax/REAL_ADD_LINV_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_eq_cases' 'h4/thm/arithmetic/LESS_OR_EQ_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_leb_le' 'h4/thm/quote/index_lt_def_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_0_l' 'h4/thm/integer/INT_DIV_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_nle_gt' 'h4/thm/integer/INT_NOT_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_double'#@#variant 'h4/thm/util_prob/lg_inv_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_glb_lt' 'h4/thm/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_trichotomy' 'h4/thm/hreal/HRAT_LT_TOTAL_'
0. 'coq/Coq_Reals_Rtrigo_def_cosn_no_R0' 'h4/thm/binary_ieee/float_value_distinct_1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_inj_wd' 'h4/thm/numeral/numeral_distrib_19'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_square_spec' 'h4/thm/HolSmt/r216_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_ldiff_m1_l'#@#variant 'h4/thm/util_prob/lg_def_'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qcle_refl' 'h4/thm/real/REAL_LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_eq_0' 'h4/thm/integer/INT_ENTIRE_'#@#variant
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_incrbis_aux_equiv' 'h4/thm/extreal/extreal_lg_def_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_ge_le_iff' 'h4/thm/string/string_gt_def_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_even_1' 'h4/thm/ieee/Minus_infinity_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_clearbit_spec_prime'#@#variant 'h4/thm/integer/INT_SUB_RNEG_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_ge_cases' 'h4/thm/integer/INT_LET_TOTAL_'
0. 'coq/Coq_Reals_Rtrigo_def_sin_antisym' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRL'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_0_succ' 'h4/thm/transc/ATN_0'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_lt_cancel' 'h4/thm/arithmetic/LESS_MONO_REV_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_rem_opp_l_prime' 'h4/thm/extreal/mul_lneg_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_id' 'h4/thm/ASCIInumbers/toNum_toString_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_divide_iff' 'h4/thm/arithmetic/MIN_LE_e1'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_l2i_i2l'#@#variant 'h4/thm/extreal/real_normal_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_inj_wd' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_stepr' 'h4/thm/real/REAL_LTE_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_succ_le_mono' 'h4/thm/numpair/tri_LT_'
0. 'coq/Coq_Reals_ROrderedType_R_as_OT_le_lteq' 'h4/thm/arithmetic/GREATER_OR_EQ_'
0. 'coq/Coq_NArith_BinNat_N_pow_lt_mono_l_iff' 'h4/thm/int_arith/INT_DIVIDES_LRMUL_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_le_mono' 'h4/thm/prim_rec/LESS_MONO_'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_le_mono_r_iff'#@#variant 'h4/thm/transc/RPOW_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div_str_pos' 'h4/thm/bit/DIV_GT0_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_lteq' 'h4/thm/extreal/le_lt_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_of_Q' 'h4/thm/frac/frac_bij_0'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_negb_odd' 'h4/thm/frac/frac_sgn_def_'
0. 'coq/Coq_ZArith_BinInt_Z_testbit_of_N' 'h4/thm/toto/charOrd_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div_1_r' 'h4/thm/integer/INT_ADD_CALCULATE_1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_le_compat_l' 'h4/thm/realax/TREAL_LT_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_lt_mono_l' 'h4/thm/real/REAL_LE_LADD_'
0. 'coq/Coq_ZArith_Zorder_Zsucc_gt_compat' 'h4/thm/prim_rec/LESS_MONO_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_nlt_ge' 'h4/thm/integer/INT_NOT_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_sub_r' 'h4/thm/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_succ_l' 'h4/thm/arithmetic/MULT_e1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_le_compat_r' 'h4/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_pos_nonneg'#@#variant 'h4/thm/util_prob/REAL_LE_LT_MUL_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_max_id' 'h4/thm/extreal/max_refl_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_r' 'h4/thm/arithmetic/LESS_MONO_ADD_'
0. 'coq/Coq_ZArith_BinInt_Zpred_succ' 'h4/thm/numeral_bit/NUMERAL_iDIV2_2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_1_mul_pos'#@#variant 'h4/thm/util_prob/REAL_LE_LT_MUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_lt_iff' 'h4/thm/real/REAL_MIN_LE_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_add_r' 'h4/thm/integer/INT_DIVIDES_MUL_0'
0. 'coq/Coq_PArith_BinPos_Pos_divide_xO_xO' 'h4/thm/integerRing/int_rewrites_tRRRRRRLRRRR'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_pred_l' 'h4/thm/numpair/nsnd_le_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_irrefl' 'h4/thm/rat/RAT_LES_REF_'
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_1' 'h4/thm/integerRing/int_rewrites_tRRRRRRRRRRRRRL'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_add_comm' 'h4/thm/hrat/TRAT_MUL_SYM_'#@#variant
0. 'coq/Coq_ZArith_Zpow_facts_Zpower_gt_1'#@#variant 'h4/thm/integer/INT_LTE_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div2_double' 'h4/thm/transc/LN_EXP_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_le_compat_l' 'h4/thm/integer/TINT_LT_ADD_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_eq_cases' 'h4/thm/integer/INT_LE_LT_'
0. 'coq/Coq_ZArith_BinInt_Z_add_cancel_r' 'h4/thm/integer/INT_EQ_RADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_divide_r' 'h4/thm/extreal/min_le2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_clearbit_spec_prime'#@#variant 'h4/thm/extreal/extreal_sub_add_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_succ_le_mono' 'h4/thm/numeral/numeral_lt_4'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_nle' 'h4/thm/rat/RAT_LES_LEQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_inj_wd' 'h4/thm/integer/INT_EQ_NEG_'
0. 'coq/Coq_Arith_PeanoNat_Nat_eq_le_incl' 'h4/thm/integer/INT_EQ_IMP_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_nonneg_pos'#@#variant 'h4/thm/extreal/lte_mul_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_1_r' 'h4/thm/rat/RAT_MUL_RZERO_'
0. 'coq/Coq_Arith_Even_odd_plus_r' 'h4/thm/extreal/let_add_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_mul_r' 'h4/thm/integer/INT_DIVIDES_RMUL_'
0. 'coq/Coq_Arith_Lt_lt_not_le' 'h4/thm/integer/INT_LTE_ANTSYM_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_clearbit_spec_prime'#@#variant 'h4/thm/HolSmt/r224_'#@#variant
0. 'coq/Coq_Reals_Rtrigo_def_sin_antisym' 'h4/thm/float/REAL_ABS_INV_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_ge' 'h4/thm/real/lt_int_0'
0. 'coq/Coq_QArith_QOrderedType_QOrder_lt_irrefl' 'h4/thm/realax/REAL_LT_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_le_mono' 'h4/thm/arithmetic/LESS_EQ_MONO_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_neg_xO'#@#variant 'h4/thm/complex/COMPLEX_OF_REAL_NEG_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_max_le_compat_l' 'h4/thm/integer/TINT_LT_ADD_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_min_lt_iff' 'h4/thm/real/REAL_MIN_LE_'
0. 'coq/Coq_Reals_Rtrigo1_sin_neg' 'h4/thm/DeepSyntax/neginf_def_2'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_0_1' 'h4/thm/prim_rec/LESS_0_0_'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_lt_total' 'h4/thm/arithmetic/LESS_CASES_IMP_'
0. 'coq/Coq_Arith_PeanoNat_Nat_square_spec' 'h4/thm/HolSmt/r216_'#@#variant
0. 'coq/Coq_Bool_Bool_eqb_prop' 'h4/thm/extreal/sub_0_'#@#variant
0. 'coq/Coq_ZArith_Zquot_Z_quot_monotone'#@#variant 'h4/thm/integral/REAL_LE_RMUL1_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_of_Qc' 'h4/thm/pred_set/pair_to_num_inv_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div_mul' 'h4/thm/integer/INT_DIV_RMUL_'#@#variant
0. 'coq/Coq_ZArith_Znat_Z2N_id'#@#variant 'h4/thm/ASCIInumbers/DEC_UNDEC_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_refl' 'h4/thm/integer/INT_DIVIDES_REFL_'
0. 'coq/Coq_ZArith_Znat_Zabs2N_id' 'h4/thm/ieee/roundmode_BIJ_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_pos_nonneg'#@#variant 'h4/thm/extreal/lte_add_'#@#variant
0. 'coq/Coq_ZArith_Znat_Z2N_inj_div2' 'h4/thm/quote/index_size_def_0'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_opp_nonpos_nonneg'#@#variant 'h4/thm/integer/INT_NEG_LE0_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_add_lt_mono_r' 'h4/thm/real/REAL_LE_SUB_CANCEL2_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_xO_r' 'h4/thm/real/REAL_NEG_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_rem_opp_l_prime' 'h4/thm/real/REAL_MUL_LNEG_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_1' 'h4/thm/transc/SIN_0_'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_lt_mono_r'#@#variant 'h4/thm/logroot/ROOT_LE_MONO_'#@#variant
0. 'coq/Coq_ZArith_Zpow_facts_Zpower_pos_pos'#@#variant 'h4/thm/integral/REAL_POW_LE_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_setbit_spec_prime'#@#variant 'h4/thm/integer/INT_SUB_CALCULATE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pred_le_mono' 'h4/thm/numpair/tri_LT_I_'
0. 'coq/Coq_ZArith_BinInt_Zpos_eq_iff' 'h4/thm/toto/cpn_EQ_cpn_'
0. 'coq/Coq_ZArith_BinInt_Z_sgn_null_iff' 'h4/thm/real/REAL_INV_EQ_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_nge' 'h4/thm/arithmetic/NOT_LESS_EQUAL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_inj_wd' 'h4/thm/quote/index_11_e1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_0_mul_prime' 'h4/thm/arithmetic/ZERO_LESS_MULT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gt_lt_iff' 'h4/thm/rat/rat_gre_def_'
0. 'coq/Coq_Arith_PeanoNat_Nat_square_spec' 'h4/thm/real/REAL_DOUBLE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_lt_add_l' 'h4/thm/integer/INT_DIVIDES_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_opp_r' 'h4/thm/extreal/sub_rneg_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_lt_mono_r' 'h4/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_succ_r' 'h4/thm/complex/COMPLEX_NEG_RDIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_sub_lt_add_r' 'h4/thm/rat/RAT_RSUB_LES_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_nlt' 'h4/thm/real/real_lt_'
0. 'coq/Coq_ZArith_Zdiv_Zdiv_opp_opp' 'h4/thm/complex/COMPLEX_NEG_MUL2_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_nonneg_pos'#@#variant 'h4/thm/extreal/let_add_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_1_l'#@#variant 'h4/thm/rat/RAT_SUB_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_le_mono' 'h4/thm/real/REAL_POS_MONO_'
0. 'coq/Coq_Reals_R_sqrt_sqrt_lt_1_alt'#@#variant 'h4/thm/transc/SQRT_MONO_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_eq_cases' 'h4/thm/extreal/le_lt_'
0. 'coq/Coq_QArith_QArith_base_Qplus_le_r' 'h4/thm/hreal/HRAT_LT_LMUL_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_sqrt' 'h4/thm/toto/num_dt_size_def_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_le_mono_r' 'h4/thm/rat/RAT_LES_RADD_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_iff' 'h4/thm/toto/cpn2num_11_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_id' 'h4/thm/gcd/GCD_REF_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_succ_r' 'h4/thm/extreal/mul_rneg_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_lteq' 'h4/thm/extreal/le_lt_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_le_compat_l' 'h4/thm/integer/INT_LT_LADD_IMP_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_asymm' 'h4/thm/arithmetic/LESS_ANTISYM_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_double_plus_one' 'h4/thm/extreal/extreal_abs_def_0'
0. 'coq/Coq_ZArith_BinInt_Z_sgn_null_iff' 'h4/thm/intExtension/INT_SGN_CLAUSES_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_lt_mono_nonneg'#@#variant 'h4/thm/real/REAL_LT_MUL2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_pos_neg'#@#variant 'h4/thm/extreal/mul_lte_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_min_distr' 'h4/thm/transc/EXP_ADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_odd' 'h4/thm/rat/rat_nmr_def_'
0. 'coq/Coq_Arith_PeanoNat_Nat_succ_le_mono' 'h4/thm/transc/EXP_MONO_LT_'
0. 'coq/Coq_NArith_Nnat_N2Nat_id' 'h4/thm/string/char_BIJ_0'
0. 'coq/Coq_NArith_BinNat_N_ldiff_ldiff_l' 'h4/thm/frac/FRAC_SUB_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lnot_ones' 'h4/thm/realax/REAL_ADD_LINV_'
0. 'coq/Coq_ZArith_Znat_Z2N_inj_quot2' 'h4/thm/quote/index_size_def_1'#@#variant
0. 'coq/Coq_Reals_R_sqrt_sqrt_Rsqr_abs' 'h4/thm/numeral/numeral_pre_e4'
0. 'coq/Coq_ZArith_BinInt_Z_div2_nonneg'#@#variant 'h4/thm/real/REAL_LT_INV_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_lt_mono_pos_r'#@#variant 'h4/thm/intExtension/INT_GT_RMUL_EXP_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_sgn' 'h4/thm/DeepSyntax/deep_form_size_def_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_1' 'h4/thm/intExtension/INT_ABS_CALCULATE_0_'
0. 'coq/Coq_ZArith_BinInt_Z_pred_inj_wd' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_ZArith_Znat_Z2N_inj_div2' 'h4/thm/toto/num_dt_size_def_1'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pow_lt_mono_r'#@#variant 'h4/thm/logroot/ROOT_LE_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_cancel_l' 'h4/thm/arithmetic/EQ_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_eq_cases' 'h4/thm/integer/INT_LE_LT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_succ' 'h4/thm/sptree/lrnext_thm_e4'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_0_l'#@#variant 'h4/thm/arithmetic/ZERO_DIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_max_l' 'h4/thm/integer/INT_DIVIDES_MUL_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_opp_opp' 'h4/thm/real/REAL_NEG_MUL2_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_1_r' 'h4/thm/integer/INT_SUB_REDUCE_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_lt_mono_l' 'h4/thm/realax/HREAL_LT_LADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_1_r' 'h4/thm/HolSmt/r127_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_le_mono_r' 'h4/thm/hreal/HRAT_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div_1_r' 'h4/thm/HolSmt/r214_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div_0_l' 'h4/thm/integer/INT_DIV_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_inj_wd' 'h4/thm/complex/COMPLEX_INV_INJ_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_lt_mono_l' 'h4/thm/arithmetic/LE_ADD_LCANCEL_'
0. 'coq/Coq_Reals_Rtrigo1_sin_PI_x' 'h4/thm/numRing/num_rewrites_tLRRRRRRLRRRR'
0. 'coq/Coq_ZArith_BinInt_Z_sub_lt_mono_r' 'h4/thm/integer/INT_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_neq' 'h4/thm/extreal/lt_imp_ne_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_eq_le_incl' 'h4/thm/realax/TREAL_EQ_AP_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_neq_succ_0' 'h4/thm/intto/BIT2_nz_'
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_greatest' 'h4/thm/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_succ_l' 'h4/thm/arithmetic/ADD_CLAUSES_2'
0. 'coq/Coq_NArith_BinNat_N_add_succ_l' 'h4/thm/complex/COMPLEX_NEG_LDIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lor_diag' 'h4/thm/real/REAL_MIN_REFL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_mod' 'h4/thm/integer/INT_MOD_PLUS_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_succ' 'h4/thm/DeepSyntax/deep_form_size_def_2'#@#variant
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_succ' 'h4/thm/DeepSyntax/deep_form_size_def_2'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_1' 'h4/thm/real/REAL_INV_0_'
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_divide/0' 'h4/thm/real/REAL_MIN_LE1_'
0. 'coq/Coq_ZArith_BinInt_Z_nlt_ge' 'h4/thm/extreal/extreal_lt_def_'
0. 'coq/Coq_Reals_Rbasic_fun_Rmax_r' 'h4/thm/extreal/le_max2_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_l' 'h4/thm/real/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_mul_r' 'h4/thm/frac/FRAC_SUB_ADD_'
0. 'coq/Coq_Structures_OrderedTypeEx_Z_as_OT_lt_not_eq' 'h4/thm/integer/INT_LT_IMP_NE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_land_nonneg'#@#variant 'h4/thm/arithmetic/EVEN_MULT_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_compare_xI_xI' 'h4/thm/toto/qk_numeralOrd_5'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_nonneg' 'h4/thm/arithmetic/FACT_LESS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_inj_wd' 'h4/thm/DeepSyntax/deep_form_11_2'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_divide_mono_r' 'h4/thm/hrat/TRAT_ADD_WELLDEFINED_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_le_trans' 'h4/thm/real/REAL_LTE_TRANS_'
0. 'coq/Coq_ZArith_Znat_Zabs2N_inj_neg' 'h4/thm/extreal/extreal_of_num_def_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div2_succ_double' 'h4/thm/numeral/numeral_add_0'#@#variant
0. 'coq/Coq_NArith_BinNat_N_div2_div'#@#variant 'h4/thm/arithmetic/PRE_SUB1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_nge' 'h4/thm/integer/int_le_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_add_le_sub_r' 'h4/thm/extreal/le_sub_imp_'
0. 'coq/Coq_NArith_BinNat_N_setbit_spec_prime'#@#variant 'h4/thm/complex/complex_div_'#@#variant
0. 'coq/Coq_QArith_Qminmax_Q_max_lt_iff' 'h4/thm/arithmetic/MAX_LT_0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_succ_l' 'h4/thm/extreal/mul_lneg_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_succ' 'h4/thm/extreal/extreal_ainv_def_e2'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_gt_lt_iff' 'h4/thm/integer/INT_GE_CALCULATE_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_iff' 'h4/thm/toto/cpn2num_11_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_r' 'h4/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_testbit_of_N' 'h4/thm/toto/charOrd_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lxor_m1_l'#@#variant 'h4/thm/util_prob/lg_def_'#@#variant
0. 'coq/Coq_ZArith_Zpow_facts_Zpower_pos_pos'#@#variant 'h4/thm/real/POW_POS_'#@#variant
0. 'coq/Coq_Strings_Ascii_ascii_N_embedding' 'h4/thm/integer/NUM_OF_INT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_le_mono' 'h4/thm/numpair/tri_LT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_pos_pred' 'h4/thm/ratRing/rat_ring_thms_e17'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_sqrt' 'h4/thm/DeepSyntax/deep_form_size_def_2'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_1_r'#@#variant 'h4/thm/arithmetic/ADD1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ldiff_diag' 'h4/thm/rat/RAT_SUB_ID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ldiff_ldiff_l' 'h4/thm/arithmetic/SUB_PLUS_'
0. 'coq/Coq_Strings_Ascii_ascii_nat_embedding' 'h4/thm/real/NUM_FLOOR_EQNS_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_mul_r'#@#variant 'h4/thm/arithmetic/DIV_DIV_DIV_MULT_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_shiftr_div_pow2'#@#variant 'h4/thm/rat/RAT_DIV_MULMINV_'
0. 'coq/Coq_Lists_List_app_nil_r' 'h4/thm/llist/LAPPEND_NIL_2ND_'
0. 'coq/Coq_NArith_BinNat_N_shiftl_1_l'#@#variant 'h4/thm/numeral/texp_help_def_0'
0. 'coq/Coq_NArith_BinNat_N_lt_add_lt_sub_r' 'h4/thm/real/REAL_LT_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_inj' 'h4/thm/divides/PRIMES_11_'
0. 'coq/Coq_ZArith_Zorder_Zsucc_le_compat' 'h4/thm/divides/LT_PRIMES_'
0. 'coq/Coq_Reals_Rminmax_R_min_l' 'h4/thm/arithmetic/LESS_MOD_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_pred_l' 'h4/thm/integer/INT_NEG_LMUL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftr_opp_r' 'h4/thm/integer/int_sub_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_glb_iff' 'h4/thm/arithmetic/MIN_LT_e1'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pred_le_mono' 'h4/thm/integer/TINT_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_add_r' 'h4/thm/real/REAL_LE_MAX1_'
0. 'coq/Coq_Reals_ROrderedType_ROrder_not_gt_le' 'h4/thm/real/REAL_LTE_TOTAL_'
0. 'coq/Coq_Reals_Rbasic_fun_Rmax_r' 'h4/thm/real/REAL_LE_MAX2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_pred' 'h4/thm/numpair/invtri_linverse_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_0_sub'#@#variant 'h4/thm/integer/INT_SUB_LT_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_le_mono_r' 'h4/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_Reals_ROrderedType_ROrder_not_ge_lt' 'h4/thm/integer/INT_LTE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_inj_wd' 'h4/thm/DeepSyntax/deep_form_11_2'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_iff' 'h4/thm/rat/RAT_EQ_NUM_CALCULATE_0'
0. 'coq/Coq_ZArith_BinInt_Z_opp_inj_wd' 'h4/thm/numRing/num_rewrites_tRRRRRRRLR'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_factor_r' 'h4/thm/integer/INT_DIVIDES_MUL_e1'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_irrefl' 'h4/thm/rat/RAT_LES_REF_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_irrefl' 'h4/thm/string/string_lt_nonrefl_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_lnot_diag'#@#variant 'h4/thm/real/REAL_ADD_RINV_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_nle_gt' 'h4/thm/arithmetic/NOT_LESS_EQUAL_'
0. 'coq/Coq_NArith_BinNat_N_succ_le_mono' 'h4/thm/numeral/numeral_lt_3'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lxor_nilpotent' 'h4/thm/arithmetic/ABS_DIFF_EQS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_Zpos' 'h4/thm/int_arith/INT_NUM_DIVIDES_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_cancel_l' 'h4/thm/hreal/HRAT_EQ_LADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_add_le_sub_r' 'h4/thm/real/REAL_LE_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_succ' 'h4/thm/bit/LOG2_TWOEXP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_lt_mono' 'h4/thm/integerRing/int_rewrites_tLRRRLRRR'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_nonneg' 'h4/thm/transc/ATN_BOUNDS_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_glb' 'h4/thm/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lcm_1_l' 'h4/thm/extreal/add_lzero_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_land_nonneg'#@#variant 'h4/thm/arithmetic/ZERO_LESS_ADD_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_le_mono_l' 'h4/thm/real/REAL_LE_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftr_div_pow2'#@#variant 'h4/thm/integer/INT_SUB_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pos_pred_succ' 'h4/thm/patricia_casts/num_to_string_string_to_num_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_le_lin'#@#variant 'h4/thm/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_pred_le' 'h4/thm/arithmetic/LESS_EQ_'
0. 'coq/Coq_Reals_RIneq_pos_INR' 'h4/thm/realax/REAL_POS_'
0. 'coq/Coq_NArith_BinNat_N_mul_shuffle3' 'h4/thm/HolSmt/r086_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_r' 'h4/thm/real/REAL_MAX_ALT_0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lcm_1_r' 'h4/thm/real/REAL_SUB_RZERO_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_iff' 'h4/thm/integerRing/int_rewrites_tLRRRRRRRRL'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_le_compat_r' 'h4/thm/hrat/TRAT_ADD_WELLDEFINED_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lcm_1_l' 'h4/thm/integer/INT_ADD_REDUCE_0'
0. 'coq/Coq_ZArith_Znumtheory_rel_prime_1'#@#variant 'h4/thm/arithmetic/ZERO_LESS_EQ_'
0. 'coq/Coq_NArith_BinNat_N_div2_succ_double' 'h4/thm/string/IMPLODE_EXPLODE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_0_succ' 'h4/thm/divides/ZERO_LT_PRIMES_'
0. 'coq/Coq_QArith_Qround_Qfloor_Z' 'h4/thm/string_num/n2s_s2n_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_nonneg_l'#@#variant 'h4/thm/arithmetic/EXP_BASE_LEQ_MONO_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_compare_succ_succ' 'h4/thm/toto/qk_numeralOrd_6'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_id' 'h4/thm/prelim/ordering_BIJ_0'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_oppc' 'h4/thm/extreal/extreal_exp_def_0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_succ_l' 'h4/thm/real/REAL_MUL_LNEG_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_succ_r' 'h4/thm/complex/COMPLEX_NEG_RDIV_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_opp_involutive' 'h4/thm/integer/INT_NEGNEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mod_mul' 'h4/thm/integer/INT_MOD_COMMON_FACTOR_'#@#variant
0. 'coq/Coq_Reals_Exp_prop_exp_pos' 'h4/thm/arithmetic/FACT_LESS_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_inj' 'h4/thm/num/INV_SUC_'
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_pos' 'h4/thm/prim_rec/LESS_0_'
0. 'coq/Coq_Arith_Mult_mult_le_compat_l' 'h4/thm/integer/TINT_LT_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_lt_trans' 'h4/thm/integer/INT_LET_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ldiff_land' 'h4/thm/extreal/extreal_div_def_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_succ_not_1' 'h4/thm/intto/BIT2_nz_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_lt' 'h4/thm/real/REAL_LT_'
0. 'coq/Coq_ZArith_BinInt_Z_ldiff_m1_r'#@#variant 'h4/thm/arithmetic/MOD_ONE_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lor_diag' 'h4/thm/arithmetic/MIN_IDEM_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_succ_l' 'h4/thm/arithmetic/MULT_e1'
0. 'coq/Coq_ZArith_Zdiv_div_Zdiv' 'h4/thm/integer/INT_DIV_'
0. 'coq/Coq_NArith_BinNat_N_ones_equiv'#@#variant 'h4/thm/numRing/num_rewrites_tLRLRR'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_succ_l' 'h4/thm/complex/COMPLEX_NEG_LMUL_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_r' 'h4/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_1_r' 'h4/thm/integer/INT_ADD_CALCULATE_1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_refl' 'h4/thm/rat/RAT_LEQ_REF_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ldiff_diag' 'h4/thm/arithmetic/ABS_DIFF_EQS_'
0. 'coq/Coq_NArith_BinNat_N_divide_0_r' 'h4/thm/extreal/le_infty_tRL'
0. 'coq/Coq_Bool_Bool_negb_prop_classical' 'h4/thm/integer/INT_LE_NEGTOTAL_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lor_diag' 'h4/thm/arithmetic/MAX_IDEM_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_succ_lt_mono' 'h4/thm/integerRing/int_rewrites_tLRRRLRRR'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_le_mono' 'h4/thm/numpair/tri_LT_I_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_cancel_l' 'h4/thm/integer/INT_EQ_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_pos_l'#@#variant 'h4/thm/transc/RPOW_LE_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_le_incl' 'h4/thm/extreal/lt_imp_le_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_compare_lt_iff' 'h4/thm/quote/index_lt_def_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_pos_pos' 'h4/thm/realax/TREAL_LT_MUL_'#@#variant
0. 'coq/Coq_Arith_Lt_le_not_lt' 'h4/thm/real/REAL_LTE_ANTSYM_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_divide_iff' 'h4/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_sub_lt_add_r' 'h4/thm/arithmetic/SUB_LEFT_GREATER_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mod_1_r'#@#variant 'h4/thm/arithmetic/MOD_ONE_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_ge_le_iff' 'h4/thm/pred_set/COUNT_applied_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_lcm_divide_iff' 'h4/thm/arithmetic/MAX_LT_e1'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_xO'#@#variant 'h4/thm/toto/num_dt_size_def_1'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_even' 'h4/thm/hrat/hrat_sucint_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_setbit_spec_prime'#@#variant 'h4/thm/rat/RAT_SUB_ADDAINV_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_xO_r' 'h4/thm/integer/INT_NEG_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_nonneg' 'h4/thm/divides/ZERO_LT_PRIMES_'
0. 'coq/Coq_ZArith_Zquot_Zquot_opp_r' 'h4/thm/complex/COMPLEX_NEG_RDIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_le_compat_l' 'h4/thm/real/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_le_mono' 'h4/thm/transc/EXP_MONO_IMP_'
0. 'coq/Coq_QArith_QArith_base_Qplus_lt_r' 'h4/thm/integer/INT_LE_LADD_'
0. 'coq/Coq_ZArith_Znat_Zabs2Nat_inj_neg' 'h4/thm/extreal/extreal_of_num_def_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_le_mono' 'h4/thm/numeral/numeral_distrib_22'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_le_iff' 'h4/thm/arithmetic/MAX_LT_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_le_mono' 'h4/thm/divides/LT_PRIMES_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div_le_mono' 'h4/thm/arithmetic/DIV_LE_MONOTONE_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_lub_lt_iff' 'h4/thm/arithmetic/MAX_LE_e1'
0. 'coq/Coq_Reals_RIneq_Rge_or_gt' 'h4/thm/real/REAL_LET_TOTAL_'
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_pos'#@#variant 'h4/thm/real/REAL_LT_INV_EQ_'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_iff' 'h4/thm/prelim/ordering2num_11_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_gt_cases' 'h4/thm/real/REAL_LTE_TOTAL_'
0. 'coq/Coq_ZArith_BinInt_Z_neq_pred_l' 'h4/thm/prim_rec/SUC_ID_'
0. 'coq/Coq_Arith_PeanoNat_Nat_Even_succ' 'h4/thm/numeral/numeral_distrib_21'#@#variant
0. 'coq/Coq_Reals_Ratan_atan_right_inv' 'h4/thm/numpair/invtri_linverse_'
0. 'coq/Coq_ZArith_BinInt_Z_lxor_m1_l'#@#variant 'h4/thm/extreal/sub_lzero_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_ge_le_iff' 'h4/thm/HolSmt/r103_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_nonpos_nonneg'#@#variant 'h4/thm/real/REAL_NEG_LE0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_0_r' 'h4/thm/integer/INT_DIVIDES_0_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_le_mono' 'h4/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_NArith_Nnat_N2Nat_id' 'h4/thm/ieee/roundmode_BIJ_0'
0. 'coq/Coq_PArith_BinPos_Pos_compare_xO_xO' 'h4/thm/toto/num_dtOrd_7'
0. 'coq/Coq_QArith_Qpower_Qpower_pos'#@#variant 'h4/thm/extreal/pow_pos_lt_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rmult_integral_contrapositive' 'h4/thm/extreal/add_not_infty_e1'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_factor_l' 'h4/thm/real/REAL_LE_MAX1_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_succ_l' 'h4/thm/arithmetic/ADD_e1'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_incr_twice_plus_one' 'h4/thm/numeral/numeral_suc_e2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_ge_cases' 'h4/thm/extreal/le_total_'
0. 'coq/Coq_Sorting_Permutation_Permutation_refl' 'h4/thm/rich_list/IS_SUFFIX_REFL_'
0. 'coq/Coq_Reals_Rtrigo1_tan_gt_0'#@#variant 'h4/thm/transc/SIN_POS_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_le_min_l' 'h4/thm/arithmetic/SUB_LESS_EQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_sub' 'h4/thm/complex/COMPLEX_SUB_ADD_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_pos_cancel_r'#@#variant 'h4/thm/real/REAL_LT_RDIV_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_Even_succ' 'h4/thm/binary_ieee/exp_gt2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div2_div'#@#variant 'h4/thm/arithmetic/PRE_SUB1_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_nonneg_pos'#@#variant 'h4/thm/extreal/let_add_'#@#variant
0. 'coq/Coq_Arith_Factorial_fact_le' 'h4/thm/transc/EXP_MONO_IMP_'
0. 'coq/Coq_PArith_BinPos_Pplus_one_succ_r' 'h4/thm/arithmetic/ADD1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_1_r' 'h4/thm/rat/RAT_ADD_RID_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_0_r' 'h4/thm/divides/ALL_DIVIDES_0_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_odd_1' 'h4/thm/ieee/Plus_zero_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_pos'#@#variant 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_1_l'#@#variant 'h4/thm/integer/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_succ_l' 'h4/thm/integer/INT_NEG_LMUL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_trichotomy' 'h4/thm/hreal/HREAL_LT_TOTAL_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_is_pos'#@#variant 'h4/thm/float/twogz_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_div_1_r' 'h4/thm/integer/INT_SUB_REDUCE_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_succ_r' 'h4/thm/frac/FRAC_AINV_RMUL_'
0. 'coq/Coq_NArith_BinNat_N_log2_le_mono' 'h4/thm/integer/TINT_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_id' 'h4/thm/real/REAL_MIN_REFL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div_1_r' 'h4/thm/HolSmt/r127_'
0. 'coq/Coq_ZArith_Zquot_Z_quot_pos' 'h4/thm/integer/INT_LT_MUL_'
0. 'coq/Coq_ZArith_BinInt_Z_shiftl_1_l'#@#variant 'h4/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_minus_one_neq_zero'#@#variant 'h4/thm/ieee/roundmode_distinct_0'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_2' 'h4/thm/real/REAL_HALF_BETWEEN_tRL'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_le_mono_r' 'h4/thm/arithmetic/LESS_EQ_MONO_ADD_EQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lnot_ones' 'h4/thm/integer/INT_ADD_LINV_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_le_mono' 'h4/thm/divides/LT_PRIMES_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_pos_l'#@#variant 'h4/thm/real/REAL_LE_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_nonneg' 'h4/thm/prim_rec/LESS_0_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_square_spec' 'h4/thm/arithmetic/TIMES2_'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_le' 'h4/thm/real/REAL_LT_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_phi' 'h4/thm/realax/TREAL_BIJ_0'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pos_pred_succ' 'h4/thm/ieee/num2ccode_ccode2num_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_le_mono' 'h4/thm/numpair/tri_LT_I_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_add_diag_r' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_0'
0. 'coq/Coq_QArith_Qcanon_Qcmult_inv_r'#@#variant 'h4/thm/rat/RAT_MUL_RINV_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_le_mono' 'h4/thm/divides/LT_PRIMES_'
0. 'coq/Coq_Reals_RIneq_Ropp_mult_distr_r' 'h4/thm/arithmetic/ADD_CLAUSES_e3'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_not_add_l' 'h4/thm/realax/HREAL_LT_ADDR_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_le_mono' 'h4/thm/numpair/tri_LT_I_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_min_distr_l' 'h4/thm/transc/RPOW_ADD_'
0. 'coq/Coq_NArith_Nnat_N2Nat_id' 'h4/thm/realax/TREAL_BIJ_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_lt_lin'#@#variant 'h4/thm/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div_str_pos' 'h4/thm/bit/DIV_GT0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_max_r' 'h4/thm/extreal/le_max2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_0_sub'#@#variant 'h4/thm/real/REAL_SUB_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_le_mono' 'h4/thm/numeral/numeral_distrib_22'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_testbit_even_0'#@#variant 'h4/thm/toto/qk_numeralOrd_4'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_le_lin'#@#variant 'h4/thm/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pred_div2_up' 'h4/thm/toto/num_dt_size_def_1'#@#variant
0. 'coq/Coq_NArith_BinNat_N_divide_lcm_l' 'h4/thm/realax/HREAL_LT_ADDL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_pred_l' 'h4/thm/rat/RAT_AINV_LMUL_'
0. 'coq/Coq_ZArith_BinInt_Z_le_gt_cases' 'h4/thm/integer/INT_LET_TOTAL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_divide_mono_r' 'h4/thm/integer/TINT_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_quot_1_r' 'h4/thm/rat/RAT_SUB_RID_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_cancel_r' 'h4/thm/complex/COMPLEX_EQ_RADD_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_pos_r'#@#variant 'h4/thm/logroot/EXP_LE_ISO_'#@#variant
0. 'coq/Coq_Init_Datatypes_unit_ind' 'h4/thm/one/one_induction_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_succ_l' 'h4/thm/arithmetic/MULT_e1'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_lt_iff' 'h4/thm/extreal/min_le_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_cancel_l' 'h4/thm/complex/COMPLEX_EQ_LADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_le_mono' 'h4/thm/transc/EXP_MONO_IMP_'
0. 'coq/Coq_Reals_Rfunctions_R_dist_eq' 'h4/thm/arithmetic/SUB_EQUAL_0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_pred_l' 'h4/thm/integer/INT_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_ge_cases' 'h4/thm/arithmetic/LESS_EQ_CASES_'
0. 'coq/Coq_ZArith_BinInt_Z_max_le_compat_r' 'h4/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_1_r' 'h4/thm/integer/INT_ADD_REDUCE_1'
0. 'coq/Coq_NArith_BinNat_N_gcd_add_diag_r' 'h4/thm/gcd/GCD_ADD_R_THM_e1'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_succ_lt_mono' 'h4/thm/numeral/numeral_lt_4'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_gcd_divide_iff' 'h4/thm/extreal/le_min_'
0. 'coq/Coq_Arith_Wf_nat_well_founded_gtof' 'h4/thm/prim_rec/WF_measure_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_inj_wd' 'h4/thm/toto/num_dt_11_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_mul_r' 'h4/thm/integer/INT_DIVIDES_RMUL_'
0. 'coq/Coq_ZArith_BinInt_Z_testbit_even_0'#@#variant 'h4/thm/toto/num_dtOrd_4'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_quot2' 'h4/thm/quote/index_size_def_1'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_eq_0_r' 'h4/thm/extreal/add_not_infty_e1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_abs_r' 'h4/thm/integer/INT_DIVIDES_NEG_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_0_l' 'h4/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rplus_ge_compat_r' 'h4/thm/hrat/TRAT_MUL_WELLDEFINED_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_succ_lt_mono' 'h4/thm/numpair/tri_LT_'
0. 'coq/Coq_Bool_Bool_diff_true_false' 'h4/thm/toto/cpn_distinct_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_neq_succ_0' 'h4/thm/intto/BIT2_nz_'
0. 'coq/Coq_Reals_RIneq_Rgt_minus' 'h4/thm/extreal/sub_lt_zero_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_1' 'h4/thm/numeral/numeral_pre_1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_pred_r' 'h4/thm/complex/COMPLEX_MUL_RNEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lxor_nilpotent' 'h4/thm/real/REAL_SUB_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_pred_lt_succ' 'h4/thm/bit/TWOEXP_LE_IMP_LE_LOG2_0'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_lt_mono' 'h4/thm/numeral/numeral_distrib_22'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_le_mono_r' 'h4/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_NArith_BinNat_N_odd_1' 'h4/thm/ieee/Plus_zero_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qplus_le_r' 'h4/thm/integer/INT_LT_LADD_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_inv_normc' 'h4/thm/quote/index_size_def_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_pos_r'#@#variant 'h4/thm/rat/RAT_LES_RMUL_POS_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_lt_mono_pos_l'#@#variant 'h4/thm/int_arith/justify_divides_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_nlt_ge' 'h4/thm/rat/RAT_LES_LEQ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_land_diag' 'h4/thm/extreal/min_refl_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_double_mul' 'h4/thm/frac/FRAC_AINV_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_sub_le_add_r' 'h4/thm/real/REAL_LT_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_neq_succ_0' 'h4/thm/quote/index_distinct_e2'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_lt_mono_l' 'h4/thm/rat/RAT_LES_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_lt_mono_pos_l'#@#variant 'h4/thm/arithmetic/EXP_BASE_LT_MONO_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rlt_not_eq' 'h4/thm/prim_rec/NOT_LESS_EQ_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_le_iff' 'h4/thm/util_prob/X_LE_MAX_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_neg_iff' 'h4/thm/toto/cpn_EQ_cpn_'
0. 'coq/Coq_Reals_Rtrigo1__PI2_RLT_0'#@#variant 'h4/thm/real/REAL_THIRDS_BETWEEN_e4'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_id' 'h4/thm/frac/frac_tybij_0'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_minus_one_neq_zero'#@#variant 'h4/thm/binary_ieee/rounding_distinct_e5'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_lub_lt_iff' 'h4/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_ZArith_BinInt_Z_pred_inj_wd' 'h4/thm/quote/index_11_e1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_lt_add_l' 'h4/thm/integer/INT_DIVIDES_RMUL_'
0. 'coq/Coq_PArith_Pnat_Pmult_nat_mult'#@#variant 'h4/thm/list/SUM_ACC_SUM_LEM_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_quot_0_l' 'h4/thm/integer/INT_REM0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_1_mul_pos'#@#variant 'h4/thm/extreal/lte_add_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_0_iff' 'h4/thm/numpair/tri_eq_0_0'
0. 'coq/Coq_Reals_Raxioms_R1_neq_R0' 'h4/thm/ieee/ccode_distinct_e5'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sub_add' 'h4/thm/hreal/HREAL_SUB_ADD_'
0. 'coq/Coq_NArith_BinNat_N_gcd_divide_r' 'h4/thm/real/REAL_MIN_LE2_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_succ_lt_mono' 'h4/thm/numeral/numeral_lte_3'
0. 'coq/Coq_ZArith_BinInt_Z_lt_add_lt_sub_r' 'h4/thm/integer/INT_LE_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_nonneg' 'h4/thm/prim_rec/LESS_0_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_eq_1'#@#variant 'h4/thm/arithmetic/MULT_EQ_1_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_pred_double_succ' 'h4/thm/numeral/numeral_pre_e4'
0. 'coq/Coq_NArith_BinNat_N_succ_inj_wd' 'h4/thm/rat/RAT_EQ_AINV_'
0. 'coq/Coq_Init_Datatypes_CompOpp_iff' 'h4/thm/rat/RAT_AINV_EQ_'
0. 'coq/Coq_ZArith_Znat_Zabs2Nat_inj_pos' 'h4/thm/rat/rat_sgn_def_'
0. 'coq/Coq_QArith_QArith_base_Zle_Qle' 'h4/thm/string/char_ge_def_'
0. 'coq/Coq_Reals_RIneq_Rplus_le_compat_l' 'h4/thm/integer/INT_LT_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_succ_l' 'h4/thm/arithmetic/MULT_CLAUSES_4'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ldiff_land' 'h4/thm/complex/complex_sub_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_max_r' 'h4/thm/hreal/HRAT_LT_ADDR_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_succ_r' 'h4/thm/complex/COMPLEX_NEG_RMUL_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_div2_double'#@#variant 'h4/thm/numeral/DIV2_BIT1_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_nle' 'h4/thm/integer/INT_NOT_LT_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_power_pos' 'h4/thm/real/POW_POS_'#@#variant
0. 'coq/Coq_Init_Peano_pred_Sn' 'h4/thm/transc/LN_EXP_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_le_mono' 'h4/thm/bit/TWOEXP_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_le_mono' 'h4/thm/integer/TINT_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_involutive' 'h4/thm/frac/FRAC_AINV_AINV_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_lub_lt_iff' 'h4/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_lt_cancel' 'h4/thm/arithmetic/LESS_MONO_REV_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_lt_mono_pos_l'#@#variant 'h4/thm/logroot/LE_EXP_ISO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_eq_cases' 'h4/thm/integer/INT_LE_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_lt_mono' 'h4/thm/numeral/numeral_distrib_22'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_opp_r' 'h4/thm/rat/RAT_SUB_ADDAINV_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_lt_trans' 'h4/thm/integer/INT_LET_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_lt_mono_neg_r' 'h4/thm/rat/RAT_LES_RMUL_NEG_'#@#variant
0. 'coq/Coq_Arith_Div2_div2_double'#@#variant 'h4/thm/transc/ATN_e2'
0. 'coq/Coq_NArith_BinNat_N_le_refl' 'h4/thm/divides/DIVIDES_REFL_'
0. 'coq/Coq_ZArith_BinInt_Zminus_succ_l' 'h4/thm/extreal/mul_lneg_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_ltb' 'h4/thm/toto/charOrd_'
0. 'coq/Coq_Reals_Rbasic_fun_Rle_max_compat_r' 'h4/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_sub_le_add_r' 'h4/thm/arithmetic/SUB_LEFT_GREATER_EQ_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_succ_inj_wd' 'h4/thm/transc/EXP_MONO_LE_'
0. 'coq/Coq_PArith_BinPos_Pos_pred_succ' 'h4/thm/string/IMPLODE_EXPLODE_'#@#variant
0. 'coq/Coq_ZArith_Znat_Z2Nat_inj_pos' 'h4/thm/rat/rat_nmr_def_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_le_mono_pos_r'#@#variant 'h4/thm/real/REAL_LE_RMUL_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_succ_le_mono' 'h4/thm/integerRing/int_rewrites_tLRRRLRRR'
0. 'coq/Coq_Init_Peano_pred_Sn' 'h4/thm/numeral/DIV2_BIT1_'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_iff' 'h4/thm/prelim/ordering2num_11_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_neq_0_succ' 'h4/thm/intto/BIT2_nz_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_nle' 'h4/thm/real/real_lte_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_le_mono_l' 'h4/thm/arithmetic/LT_ADD_LCANCEL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_lt_succ_r' 'h4/thm/prim_rec/LESS_SUC_'
0. 'coq/Coq_Reals_RIneq_cond_nonneg' 'h4/thm/extreal/lt_infty_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_total' 'h4/thm/string/string_lt_cases_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lxor_nilpotent' 'h4/thm/integer/INT_SUB_REFL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_shuffle3' 'h4/thm/HolSmt/r220_'
0. 'coq/Coq_PArith_BinPos_Pos_pred_sub' 'h4/thm/arithmetic/PRE_SUB1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_1_r' 'h4/thm/HolSmt/r080_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lnot_ones' 'h4/thm/real/REAL_ADD_LINV_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_div2_double' 'h4/thm/string/EXPLODE_IMPLODE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_inj_wd' 'h4/thm/string/IMPLODE_11_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_total' 'h4/thm/hreal/HREAL_LT_TOTAL_'
0. 'coq/Coq_QArith_Qminmax_Q_le_max_l' 'h4/thm/hreal/HRAT_LT_ADDL_'
0. 'coq/Coq_NArith_BinNat_N_pred_succ' 'h4/thm/numeral/numeral_add_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_1' 'h4/thm/real/REAL_INV_0_'
0. 'coq/Coq_PArith_BinPos_Pos_le_lt_trans' 'h4/thm/rat/RAT_LEQ_LES_TRANS_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_move_0_r' 'h4/thm/integer/INT_SUB_0_'#@#variant
0. 'coq/__constr_Coq_Init_Peano_le_0_1' 'h4/thm/rat/RAT_LEQ_REF_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_lor' 'h4/thm/transc/EXP_SUB_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_of_N' 'h4/thm/complex/complex_of_num_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_le_trans' 'h4/thm/real/REAL_LTE_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_neg_neg'#@#variant 'h4/thm/extreal/lt_mul_neg_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftl_mul_pow2'#@#variant 'h4/thm/frac/frac_div_def_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_nge' 'h4/thm/integer/int_le_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_add_lt_sub_r' 'h4/thm/real/REAL_LE_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_le_mono_nonneg_l'#@#variant 'h4/thm/arithmetic/EXP_BASE_LEQ_MONO_IMP_'#@#variant
0. 'coq/Coq_Reals_Rtrigo_calc_sin3PI4'#@#variant 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRL'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_0_succ' 'h4/thm/integral/LT_0_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_le_iff' 'h4/thm/extreal/le_max_'
0. 'coq/Coq_ZArith_BinInt_Z_clearbit_spec_prime'#@#variant 'h4/thm/HolSmt/r224_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_2' 'h4/thm/real/REAL_HALF_BETWEEN_tRL'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_lt_mono_l' 'h4/thm/integer/LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_pos_pred' 'h4/thm/frac/frac_sgn_def_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_eq_le_incl' 'h4/thm/hrat/TRAT_EQ_AP_'#@#variant
0. 'coq/Coq_Reals_Exp_prop_exp_pos_pos'#@#variant 'h4/thm/extreal/sqrt_pos_le_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_1' 'h4/thm/real/REAL_HALF_BETWEEN_tRL'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lcm_1_l' 'h4/thm/integer/INT_ADD_LID_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_le_mono_l' 'h4/thm/arithmetic/LESS_MONO_MULT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_le_mono_pos_l'#@#variant 'h4/thm/integer/INT_LE_MONO_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_succ_lt_mono' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_of_N' 'h4/thm/rat/rat_dnm_def_'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_one_neq_zero' 'h4/thm/binary_ieee/float_value_distinct_e2'
0. 'coq/Coq_NArith_BinNat_N_max_le_compat_r' 'h4/thm/arithmetic/LESS_MONO_ADD_'
0. 'coq/Coq_Arith_EqNat_eq_eq_nat' 'h4/thm/hrat/TRAT_EQ_AP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_clearbit_spec_prime'#@#variant 'h4/thm/real/real_sub_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sub_lt'#@#variant 'h4/thm/arithmetic/SUB_LESS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_land_diag' 'h4/thm/arithmetic/MAX_IDEM_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_double' 'h4/thm/toto/num_dt_size_def_1'#@#variant
0. 'coq/Coq_QArith_Qround_Zdiv_Qdiv' 'h4/thm/rat/rat_div_def_'
0. 'coq/Coq_NArith_BinNat_N_divide_factor_l' 'h4/thm/extreal/le_max1_'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_nonneg' 'h4/thm/transc/ATN_BOUNDS_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_r' 'h4/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_factor_l' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_add_le_sub_r' 'h4/thm/extreal/le_sub_imp_'
0. 'coq/Coq_NArith_BinNat_N_le_sub_le_add_r' 'h4/thm/real/REAL_LE_SUB_RADD_'
0. 'coq/Coq_Reals_R_Ifp_base_fp/1' 'h4/thm/transc/ATN_1'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_nonneg' 'h4/thm/prim_rec/LESS_0_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_nonneg' 'h4/thm/transc/ATN_0'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_le_mono' 'h4/thm/real/REAL_POS_MONO_'
0. 'coq/Coq_Reals_R_Ifp_base_fp/0' 'h4/thm/transc/ATN_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_inj_wd' 'h4/thm/DeepSyntax/deep_form_11_2'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_le_mono_r' 'h4/thm/arithmetic/LE_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_le_mono_l' 'h4/thm/arithmetic/ADD_MONO_LESS_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_even_opp' 'h4/thm/complex/MODU_CONJ_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_divide_mono_l' 'h4/thm/realax/TREAL_LT_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_nlt_ge' 'h4/thm/real/REAL_NOT_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftr_opp_r' 'h4/thm/frac/frac_div_def_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_rem_rem' 'h4/thm/integer/INT_MOD_MOD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_le_mono' 'h4/thm/numpair/tri_LT_I_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_nonneg_nonneg' 'h4/thm/integer/TINT_LT_MUL_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rgt_ge_trans' 'h4/thm/arithmetic/LESS_LESS_EQ_TRANS_'
0. 'coq/Coq_NArith_BinNat_N_sub_add_distr' 'h4/thm/logroot/EXP_MUL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftl_1_l'#@#variant 'h4/thm/extreal/sub_lzero_'#@#variant
0. 'coq/Coq_PArith_Pnat_SuccNat2Pos_inj_succ' 'h4/thm/complex/COMPLEX_OF_REAL_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_eq_0' 'h4/thm/gcd/GCD_EQ_0_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_ldiff' 'h4/thm/complex/COMPLEX_SUB_LNEG_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_shuffle3' 'h4/thm/HolSmt/r220_'
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_lcm_l' 'h4/thm/realax/HREAL_LT_ADDL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_1_l' 'h4/thm/HolSmt/r129_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_involutive' 'h4/thm/integerRing/int_calculate_12'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_ngt' 'h4/thm/HolSmt/r115_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_glb' 'h4/thm/divides/DIVIDES_SUB_'
0. 'coq/Coq_ZArith_BinInt_Z_opp_inj_wd' 'h4/thm/string/IMPLODE_11_'#@#variant
0. 'coq/Coq_Bool_Bool_orb_prop' 'h4/thm/extreal/add_not_infty_e1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_Odd_succ' 'h4/thm/binary_ieee/exp_gt2_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_shiftr_opp_r' 'h4/thm/extreal/sub_rneg_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_nonpos_nonpos' 'h4/thm/intExtension/INT_LT_ADD_NEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gt_lt_iff' 'h4/thm/real/real_ge_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_divide' 'h4/thm/real/lt_int_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_le_mono' 'h4/thm/bit/TWOEXP_MONO_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_div_1_r' 'h4/thm/integer/INT_ADD_REDUCE_1'
0. 'coq/Coq_Reals_Rpower_exp_Ropp' 'h4/thm/numeral_bit/numeral_ilog2_e2'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qclt_le_trans' 'h4/thm/integer/INT_LTE_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_0_iff' 'h4/thm/integer/INT_QUOT_CALCULATE_3'#@#variant
0. 'coq/Coq_ZArith_BinInt_Zminus_plus_simpl_r' 'h4/thm/arithmetic/ABS_DIFF_ADD_SAME_'
0. 'coq/Coq_ZArith_Zorder_Zle_0_pos'#@#variant 'h4/thm/frac/FRAC_DNMPOS_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_setbit_spec_prime'#@#variant 'h4/thm/HolSmt/r224_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_1' 'h4/thm/real/REAL_ABS_0_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_le_compat_l' 'h4/thm/realax/TREAL_LT_ADD_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_land_diag' 'h4/thm/extreal/min_refl_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_nonneg_pos'#@#variant 'h4/thm/util_prob/REAL_LT_LE_MUL_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_lt_mono_l' 'h4/thm/real/REAL_LT_LADD_'
0. 'coq/Coq_PArith_BinPos_Pos_compare_xO_xO' 'h4/thm/quote/index_compare_def_7'
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_sub_r' 'h4/thm/divides/DIVIDES_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_divide_mono_r' 'h4/thm/hrat/TRAT_ADD_WELLDEFINED_'#@#variant
0. 'coq/Coq_Reals_Rpower_Rpower_mult_distr'#@#variant 'h4/thm/transc/RPOW_DIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_1_l' 'h4/thm/extreal/add_lzero_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_rem_1_r'#@#variant 'h4/thm/arithmetic/MOD_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_nge' 'h4/thm/integer/int_le_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div2_div'#@#variant 'h4/thm/arithmetic/DIV2_def_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftr_div_pow2'#@#variant 'h4/thm/extreal/extreal_div_def_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_le_compat_r' 'h4/thm/hrat/TRAT_MUL_WELLDEFINED_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_xO_r' 'h4/thm/complex/COMPLEX_NEG_RDIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_clearbit_spec_prime'#@#variant 'h4/thm/frac/frac_div_def_'
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_diag' 'h4/thm/gcd/GCD_REF_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_cancel_l' 'h4/thm/integer/INT_EQ_LADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_1_l'#@#variant 'h4/thm/numeral/numeral_texp_help_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_irrefl' 'h4/thm/extreal/lt_refl_'
0. 'coq/Coq_ZArith_Zorder_Zle_0_pos'#@#variant 'h4/thm/float/twogz_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_lt_mono_l' 'h4/thm/rat/RAT_LES_LADD_'
0. 'coq/Coq_NArith_BinNat_N_add_cancel_r' 'h4/thm/real/REAL_EQ_RADD_'
0. 'coq/Coq_NArith_BinNat_N_add_succ_l' 'h4/thm/arithmetic/ADD_CLAUSES_2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div_le_mono'#@#variant 'h4/thm/arithmetic/DIV_LE_MONOTONE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_1_r' 'h4/thm/integer/INT_SUB_RZERO_'
0. 'coq/Coq_NArith_BinNat_N_divide_lcm_r' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_succ' 'h4/thm/numeral/numeral_add_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_0_mul_prime'#@#variant 'h4/thm/arithmetic/ODD_MULT_'
0. 'coq/Coq_NArith_BinNat_N_min_le_compat_r' 'h4/thm/hrat/TRAT_ADD_WELLDEFINED_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_le_refl' 'h4/thm/extreal/le_refl_'
0. 'coq/Coq_ZArith_BinInt_Z_square_spec' 'h4/thm/numeral/iSQR_'
0. 'coq/Coq_Reals_RIneq_Rplus_gt_compat_r' 'h4/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_ZArith_Zpower_two_power_pos_nat' 'h4/thm/rat/rat_dnm_def_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_sub_lt_add_r' 'h4/thm/extreal/le_sub_imp_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_opp_r' 'h4/thm/extreal/extreal_div_def_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_div_str_pos' 'h4/thm/bit/DIV_GT0_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_cancel_l' 'h4/thm/complex/COMPLEX_EQ_LADD_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Zplus_succ_r_reverse' 'h4/thm/arithmetic/ADD_SUC_'
0. 'coq/Coq_ZArith_Zorder_Zplus_gt_compat_l' 'h4/thm/realax/REAL_LT_IADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_nlt_ge' 'h4/thm/arithmetic/NOT_LESS_EQUAL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lcm_diag' 'h4/thm/real/REAL_DOUBLE_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_add_cancel_r' 'h4/thm/divides/DIVIDES_ADD_2_'
0. 'coq/Coq_ZArith_Zeven_Zeven_not_Zodd' 'h4/thm/float/FLOAT_DISTINCT_FINITE_e2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_lor'#@#variant 'h4/thm/util_prob/lg_mul_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_factor_l' 'h4/thm/hreal/HRAT_LT_ADDL_'
0. 'coq/Coq_ZArith_Zorder_Znot_le_gt' 'h4/thm/HolSmt/t015_'
0. 'coq/Coq_ZArith_BinInt_Z_min_le_compat_l' 'h4/thm/real/REAL_LE_LADD_IMP_'
0. 'coq/Coq_QArith_Qcanon_Q_apart_0_1'#@#variant 'h4/thm/binary_ieee/rounding_distinct_1'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_lub_lt_iff' 'h4/thm/util_prob/MAX_LE_X_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_eq_0' 'h4/thm/intExtension/INT_NO_ZERODIV_'#@#variant
0. 'coq/Coq_QArith_Qminmax_Q_max_assoc' 'h4/thm/hrat/TRAT_MUL_ASSOC_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_triangle' 'h4/thm/real/ABS_TRIANGLE_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_neg_iff' 'h4/thm/ieee/roundmode_EQ_roundmode_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_le_mono_l' 'h4/thm/integer/INT_LT_LADD_'
0. 'coq/Coq_NArith_Nnat_N2Nat_id' 'h4/thm/string/CHR_ORD_'
0. 'coq/Coq_QArith_QArith_base_Zle_Qle' 'h4/thm/realax/REAL_ISO_EQ_'
0. 'coq/Coq_Init_Datatypes_CompOpp_involutive' 'h4/thm/integer/INT_QUOT_CALCULATE_e4'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_ldiff_ldiff_l' 'h4/thm/arithmetic/SUB_PLUS_'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_minus_one_neq_zero'#@#variant 'h4/thm/binary_ieee/float_compare_distinct_0'
0. 'coq/Coq_NArith_BinNat_N_lt_asymm' 'h4/thm/hreal/HRAT_LT_ANTISYM_'
0. 'coq/Coq_ZArith_BinInt_Z_setbit_spec_prime'#@#variant 'h4/thm/extreal/sub_rneg_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_add_le_sub_r' 'h4/thm/real/REAL_LT_ADD_SUB_'
0. 'coq/Coq_PArith_BinPos_Pos_compare_xI_xI' 'h4/thm/toto/numeralOrd_5'
0. 'coq/Coq_Reals_RIneq_Rlt_le' 'h4/thm/rat/RAT_LES_IMP_LEQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_le_mono' 'h4/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sub_max_distr_l' 'h4/thm/transc/RPOW_ADD_'
0. 'coq/Coq_ZArith_BinInt_Z_divide_abs_r' 'h4/thm/integer/INT_DIVIDES_NEG_0'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_nonneg_nonneg' 'h4/thm/arithmetic/LESS_MULT2_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_lt_mono_r_iff'#@#variant 'h4/thm/arithmetic/EXP_BASE_LE_MONO_'#@#variant
0. 'coq/Coq_Bool_Bool_xorb_nilpotent' 'h4/thm/rat/RAT_SUB_ID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_0_r'#@#variant 'h4/thm/numeral/numeral_distrib_11'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_eq_0' 'h4/thm/real/REAL_ENTIRE_'#@#variant
0. 'coq/Coq_Reals_Rtrigo_calc_cos_PI3'#@#variant 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRL'
0. 'coq/Coq_QArith_Qcanon_Qcopp_involutive' 'h4/thm/real/REAL_NEG_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_succ_lt_mono' 'h4/thm/numeral/numeral_lte_3'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_of_Q' 'h4/thm/binary_ieee/num2rounding_rounding2num_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_ge_le_iff' 'h4/thm/arithmetic/GREATER_DEF_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_div2' 'h4/thm/rat/RAT_AINV_CALCULATE_'
0. 'coq/Coq_NArith_BinNat_N_max_id' 'h4/thm/arithmetic/MAX_IDEM_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_rem_mul' 'h4/thm/integer/INT_REM_COMMON_FACTOR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_le_compat_r' 'h4/thm/integer/TINT_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_clearbit_spec_prime'#@#variant 'h4/thm/integer/INT_SUB_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_lteq' 'h4/thm/real/REAL_LE_LT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sub_1_r'#@#variant 'h4/thm/arithmetic/DIV2_def_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lor_diag' 'h4/thm/real/REAL_MIN_REFL_'
0. 'coq/Coq_NArith_BinNat_N_nle_gt' 'h4/thm/real/real_lt_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_glb_iff' 'h4/thm/extreal/le_min_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_divide_mono_l' 'h4/thm/extreal/le_ladd_imp_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_irrefl' 'h4/thm/realax/TREAL_LT_REFL_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pow_0_r'#@#variant 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRL'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_sub_lt_add_r' 'h4/thm/real/REAL_LE_SUB_LADD_'
0. 'coq/Coq_Reals_RIneq_Rinv_0_lt_compat'#@#variant 'h4/thm/extreal/sqrt_pos_lt_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sub_move_r' 'h4/thm/rat/RAT_RSUB_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_pos'#@#variant 'h4/thm/transc/LN_POS_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_neq_0_lt_0' 'h4/thm/arithmetic/NOT_ZERO_LT_ZERO_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_lxor_r' 'h4/thm/arithmetic/ADD_CLAUSES_e3'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_le_compat_r' 'h4/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sub_succ_l' 'h4/thm/integer/INT_NEG_LMUL_'
0. 'coq/Coq_ZArith_Zorder_Zgt_irrefl' 'h4/thm/integer/TINT_LT_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_nonneg' 'h4/thm/arithmetic/FACT_LESS_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_lt_mono_l' 'h4/thm/integer/LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lxor_lnot_lnot' 'h4/thm/arithmetic/SUB_MONO_EQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_le_mono' 'h4/thm/prim_rec/LESS_MONO_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_eq_0_r' 'h4/thm/extreal/add_not_infty_e1'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_1_l' 'h4/thm/real/REAL_MUL_LZERO_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_lt_mono_pos_l'#@#variant 'h4/thm/real/REAL_LT_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_greatest' 'h4/thm/divides/DIVIDES_SUB_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_1_r'#@#variant 'h4/thm/arithmetic/DIV2_def_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_setbit_spec_prime'#@#variant 'h4/thm/complex/complex_sub_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_le_mono_l' 'h4/thm/rat/RAT_LES_LADD_'
0. 'coq/Coq_ZArith_Znat_Zabs2Nat_id' 'h4/thm/integer/NUM_OF_INT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_quot_pos'#@#variant 'h4/thm/integer/INT_LTE_ADD_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pow_le_mono_r_iff'#@#variant 'h4/thm/integer/INT_LT_MONO_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_lor' 'h4/thm/transc/EXP_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_1_r'#@#variant 'h4/thm/arithmetic/ADD1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div_1_r' 'h4/thm/HolSmt/r080_'
0. 'coq/Coq_Reals_Ratan_ps_atan_opp' 'h4/thm/DeepSyntax/posinf_def_2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_opp_r' 'h4/thm/integer/INT_SUB_RNEG_'
0. 'coq/Coq_Arith_PeanoNat_Nat_min_le_compat_r' 'h4/thm/hrat/TRAT_MUL_WELLDEFINED_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_eq_1'#@#variant 'h4/thm/gcd/GCD_EQ_0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_even_1' 'h4/thm/float/FLOAT_INFINITIES_SIGNED_e1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_le_mono_l' 'h4/thm/hreal/HRAT_LT_LMUL_'
0. 'coq/Coq_Arith_Plus_le_plus_r' 'h4/thm/extreal/le_max2_'
0. 'coq/Coq_Reals_Raxioms_R1_neq_R0' 'h4/thm/binary_ieee/rounding_distinct_e5'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lxor_m1_l'#@#variant 'h4/thm/numeral/numeral_texp_help_0'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_lt_mono_r' 'h4/thm/integer/INT_LE_RADD_'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_one_neq_zero' 'h4/thm/extreal/ne_02_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_le_mono' 'h4/thm/numpair/tri_LT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_le_mono_pos_l'#@#variant 'h4/thm/logroot/LT_EXP_ISO_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_lt_mono_l' 'h4/thm/integer/LT_LADD_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_add_lt_sub_r' 'h4/thm/arithmetic/SUB_LEFT_LESS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_ge_cases' 'h4/thm/real/REAL_LE_TOTAL_'
0. 'coq/Coq_ZArith_BinInt_Z_gcd_1_l' 'h4/thm/integer/INT_MUL_REDUCE_1'
0. 'coq/Coq_Reals_Raxioms_Rlt_asym' 'h4/thm/string/string_lt_antisym_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_le_mono_r_iff'#@#variant 'h4/thm/logroot/LT_EXP_ISO_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_0_l' 'h4/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_Init_Peano_pred_Sn' 'h4/thm/numRing/num_rewrites_tLLRRRR'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_shuffle3' 'h4/thm/HolSmt/r086_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_le_incl' 'h4/thm/arithmetic/LESS_IMP_LESS_OR_EQ_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_odd_sub' 'h4/thm/float/REAL_OF_NUM_SUB_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_lt_mono_l' 'h4/thm/integer/INT_LT_LADD_'
0. 'coq/Coq_ZArith_BinInt_Z_setbit_spec_prime'#@#variant 'h4/thm/real/REAL_SUB_RNEG_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_eq_mul_0_r' 'h4/thm/intExtension/INT_NOT0_MUL_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rge_ge_eq' 'h4/thm/extreal/le_antisym_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_divide_mono_r' 'h4/thm/integer/TINT_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_glb_lt' 'h4/thm/divides/DIVIDES_ADD_1_'
0. 'coq/Coq_PArith_BinPos_Pos_xI_succ_xO' 'h4/thm/numeral/numeral_pre_e4'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_ge_cases' 'h4/thm/arithmetic/LESS_EQ_CASES_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_ge_le_iff' 'h4/thm/real/real_ge_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_succ_le_mono' 'h4/thm/arithmetic/LESS_MONO_EQ_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_lt_mono_pos_l'#@#variant 'h4/thm/transc/RPOW_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ldiff_diag' 'h4/thm/real/REAL_SUB_REFL_'#@#variant
0. 'coq/Coq_ZArith_Znat_Z2Nat_inj_neg' 'h4/thm/extreal/extreal_size_def_e2'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_nlt_ge' 'h4/thm/real/real_lt_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_le_mono_l_iff' 'h4/thm/int_arith/INT_DIVIDES_LRMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_eq_mul_1'#@#variant 'h4/thm/arithmetic/ADD_EQ_0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_pred' 'h4/thm/prim_rec/PRE_e1'
0. 'coq/Coq_fourier_Fourier_util_Rfourier_eqLR_to_le' 'h4/thm/integer/TINT_EQ_AP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_lt_mono_r_iff'#@#variant 'h4/thm/arithmetic/EXP_BASE_LT_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_lt_mono_pos_r'#@#variant 'h4/thm/real/REAL_LE_RMUL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_1' 'h4/thm/real/REAL_ABS_0_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_opp' 'h4/thm/rat/RAT_AINV_CALCULATE_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_pred_of_succ_nat' 'h4/thm/numRing/num_ring_thms_e17'#@#variant
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_compare' 'h4/thm/toto/qk_numOrd_def_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_lt_mono_r' 'h4/thm/rat/RAT_LES_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_add_le' 'h4/thm/real/REAL_ABS_TRIANGLE_'
0. 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_lt_not_eq' 'h4/thm/prim_rec/LESS_NOT_EQ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_cancel_l' 'h4/thm/real/REAL_EQ_LADD_'
0. 'coq/Coq_Reals_Rpower_ln_exp' 'h4/thm/numeral_bit/NUMERAL_iDIV2_2'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_id' 'h4/thm/extreal/min_refl_'
0. 'coq/Coq_QArith_Qminmax_Q_le_max_r' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_1' 'h4/thm/integer/INT_NEG_0_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_1_l' 'h4/thm/arithmetic/ZERO_LESS_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_sub_le_add_r' 'h4/thm/integer/INT_LT_SUB_RADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_succ_r' 'h4/thm/frac/FRAC_AINV_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_nlt_ge' 'h4/thm/rat/RAT_LES_LEQ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_pos'#@#variant 'h4/thm/real/REAL_LE_INV_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pred_le_mono' 'h4/thm/numpair/tri_LT_I_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_opp_opp' 'h4/thm/complex/COMPLEX_NEG_DIV2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mod_1_r'#@#variant 'h4/thm/arithmetic/MOD_ONE_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_w4_spec' 'h4/thm/numRing/num_ring_thms_0'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_1_l' 'h4/thm/integer/TINT_ADD_LID_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_inv_normc' 'h4/thm/rat/RAT_AINV_CALCULATE_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_total' 'h4/thm/arithmetic/LESS_CASES_IMP_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_divide_iff' 'h4/thm/arithmetic/MIN_LE_e1'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pos_pred_succ' 'h4/thm/ieee/roundmode_BIJ_0'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_lt_mono_r' 'h4/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_Reals_R_sqrt_sqrt_positivity'#@#variant 'h4/thm/transc/SQRT_POS_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_nonneg' 'h4/thm/arithmetic/FACT_LESS_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_inj_wd' 'h4/thm/numpair/tri_11_'
0. 'coq/Coq_ZArith_Zquot_Zquot_opp_l' 'h4/thm/complex/COMPLEX_NEG_LDIV_'#@#variant
0. 'coq/Coq_ZArith_Zlogarithm_log_inf_correct/0'#@#variant 'h4/thm/binary_ieee/zero_lt_twopow_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_lt_iff' 'h4/thm/extreal/le_max_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_pred' 'h4/thm/numRing/num_rewrites_tRRLRR'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_pred_r' 'h4/thm/frac/FRAC_AINV_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_succ_diag_r' 'h4/thm/divides/INDEX_LESS_PRIMES_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_gt_lt_iff' 'h4/thm/rat/rat_gre_def_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_nonneg_nonneg' 'h4/thm/integer/TINT_LT_MUL_'#@#variant
0. 'coq/Coq_NArith_Nnat_Nat2N_id' 'h4/thm/prelim/num2ordering_ordering2num_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_neg_is_neg' 'h4/thm/string/ORD_BOUND_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_lcm_l' 'h4/thm/hreal/HRAT_LT_ADDL_'
0. 'coq/Coq_Reals_Rtrigo1_tan_neg' 'h4/thm/complex/CONJ_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_divide_mono_l' 'h4/thm/real/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lcm_1_r' 'h4/thm/rat/RAT_SUB_RID_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_succ_r' 'h4/thm/extreal/mul_rneg_'
0. 'coq/Coq_PArith_BinPos_Pos_gcd_divide_r' 'h4/thm/extreal/min_le2_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_1_l'#@#variant 'h4/thm/HolSmt/r129_'#@#variant
0. 'coq/Coq_Reals_Ratan_Alt_PI_eq' 'h4/thm/arithmetic/ALT_ZERO_'
0. 'coq/Coq_PArith_Pnat_SuccNat2Pos_inj_succ' 'h4/thm/extreal/extreal_abs_def_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_testbit_of_N' 'h4/thm/intto/pos_pos_thm_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_succ_lt_mono' 'h4/thm/integerRing/int_rewrites_tLRRRRLRRR'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_lt_trans' 'h4/thm/real/REAL_LET_TRANS_'
0. 'coq/Coq_ZArith_BinInt_Z_add_nonneg_pos'#@#variant 'h4/thm/util_prob/REAL_LT_LE_MUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_1_l'#@#variant 'h4/thm/extreal/le_infty_tLL'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_negb_odd' 'h4/thm/integerRing/int_ring_thms_e17'#@#variant
0. 'coq/Coq_Reals_RIneq_tech_Rgt_minus'#@#variant 'h4/thm/arithmetic/X_LE_X_EXP_'#@#variant
0. 'coq/Coq_PArith_Pnat_SuccNat2Pos_inj_iff' 'h4/thm/real/eq_ints_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sub_lt' 'h4/thm/arithmetic/SUB_LESS_'
0. 'coq/Coq_ZArith_BinInt_Z_le_max_l' 'h4/thm/integer/INT_DIVIDES_MUL_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_lt_mono' 'h4/thm/numeral/numeral_distrib_22'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_1_mul_pos'#@#variant 'h4/thm/real/REAL_LTE_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_neq_0_succ' 'h4/thm/toto/num_dt_distinct_1'
0. 'coq/Coq_Reals_RIneq_cond_nonpos' 'h4/thm/string/ORD_BOUND_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_le_compat_l' 'h4/thm/real/REAL_LT_IADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_refl' 'h4/thm/divides/DIVIDES_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div_1_r' 'h4/thm/integer/INT_SUB_RZERO_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_lcm_r' 'h4/thm/hreal/HRAT_LT_ADDR_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mod_0_l' 'h4/thm/integer/INT_DIV_0_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pred_le_mono' 'h4/thm/integer/TINT_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_gt' 'h4/thm/real/REAL_LT_'
0. 'coq/Coq_QArith_Qminmax_Q_max_comm' 'h4/thm/hrat/TRAT_MUL_SYM_'#@#variant
0. 'coq/Coq_QArith_Qreduction_Qred_opp' 'h4/thm/DeepSyntax/posinf_def_2'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_xO'#@#variant 'h4/thm/extreal/extreal_ainv_def_e2'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_lt_mono_pos_r'#@#variant 'h4/thm/real/REAL_LT_RMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_lt_trans' 'h4/thm/integer/INT_LET_TRANS_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_add_r' 'h4/thm/hreal/HRAT_LT_ADDL_'
0. 'coq/Coq_ZArith_BinInt_Z_divide_lcm_l' 'h4/thm/real/REAL_LE_MAX1_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_le_compat_l' 'h4/thm/real/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Arith_PeanoNat_Nat_clearbit_spec_prime'#@#variant 'h4/thm/real/real_sub_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_sub' 'h4/thm/complex/COMPLEX_SUB_ADD_'#@#variant
0. 'coq/Coq_ZArith_Zquot_Zquot_opp_l' 'h4/thm/arithmetic/PRE_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_eq_mul_0' 'h4/thm/extreal/entire_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_mul_succ_r' 'h4/thm/arithmetic/MULT_SUC_'
0. 'coq/Coq_ZArith_BinInt_Zopp_mult_distr_r' 'h4/thm/frac/FRAC_AINV_RMUL_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_compare' 'h4/thm/toto/charOrd_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lnot_0_l' 'h4/thm/extreal/sub_lzero_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_nlt_1_r' 'h4/thm/prim_rec/NOT_LESS_0_'
0. 'coq/Coq_QArith_Qcanon_Qcle_refl' 'h4/thm/extreal/le_refl_'
0. 'coq/Coq_NArith_BinNat_N_clearbit_spec_prime'#@#variant 'h4/thm/extreal/sub_rneg_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_le_compat_r' 'h4/thm/extreal/le_radd_imp_'
0. 'coq/Coq_PArith_BinPos_Pos_lt_total' 'h4/thm/hreal/HREAL_LT_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_succ_l' 'h4/thm/arithmetic/LESS_EQ_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_succ' 'h4/thm/complex/COMPLEX_OF_REAL_INV_'#@#variant
0. 'coq/Coq_Reals_RIneq_Ropp_involutive' 'h4/thm/int_bitwise/int_not_not_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pos_pred_succ' 'h4/thm/toto/num2cpn_cpn2num_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_eq_0' 'h4/thm/extreal/entire_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_nlt_ge' 'h4/thm/HolSmt/r115_'
0. 'coq/Coq_omega_OmegaLemmas_OMEGA2' 'h4/thm/binary_ieee/le2_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_opp_r' 'h4/thm/integer/INT_MUL_CALCULATE_2'
0. 'coq/Coq_Arith_PeanoNat_Nat_min_glb' 'h4/thm/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_gcd_0_l' 'h4/thm/numeral/numeral_texp_help_0'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_sub' 'h4/thm/float/REAL_OF_NUM_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_nlt_ge' 'h4/thm/real/real_lt_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_inj_wd' 'h4/thm/string/IMPLODE_11_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_gcd_1_r' 'h4/thm/extreal/mul_rzero_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sub_add_distr' 'h4/thm/arithmetic/SUB_RIGHT_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_1_l'#@#variant 'h4/thm/arithmetic/ZERO_MOD_'#@#variant
0. 'coq/Coq_Numbers_Cyclic_DoubleCyclic_DoubleBase_wwB_wBwB'#@#variant 'h4/thm/integer/int_of_num_e1'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_eq_1_l' 'h4/thm/transc/RPOW_NZ_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_min_l' 'h4/thm/extreal/min_le1_'
0. 'coq/Coq_ZArith_BinInt_Z_divide_0_r' 'h4/thm/divides/ALL_DIVIDES_0_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_succ_l' 'h4/thm/rat/RAT_AINV_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_add_le_sub_r' 'h4/thm/integer/INT_LT_SUB_RADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_1_l' 'h4/thm/HolSmt/r221_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_nle_gt' 'h4/thm/arithmetic/NOT_LESS_EQUAL_'
0. 'coq/Coq_NArith_BinNat_N_pred_div2_up' 'h4/thm/DeepSyntax/deep_form_size_def_2'#@#variant
0. 'coq/Coq_Bool_Bool_negb_xorb_r' 'h4/thm/complex/COMPLEX_NEG_RDIV_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_le_iff' 'h4/thm/arithmetic/MAX_LE_0'
0. 'coq/Coq_NArith_BinNat_N_pow_1_r' 'h4/thm/integer/INT_ADD_CALCULATE_1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_double'#@#variant 'h4/thm/transc/LN_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_clearbit_spec_prime'#@#variant 'h4/thm/real/real_sub_'
0. 'coq/Coq_Reals_Rpower_Rpower_pow'#@#variant 'h4/thm/transc/GEN_RPOW_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_neq' 'h4/thm/prim_rec/NOT_LESS_EQ_'
0. 'coq/Coq_QArith_QOrderedType_QOrder_lt_irrefl' 'h4/thm/prim_rec/LESS_REFL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_neg_iff'#@#variant 'h4/thm/intExtension/INT_SGN_CLAUSES_e2'#@#variant
0. 'coq/Coq_ZArith_BinInt_Zopp_mult_distr_l' 'h4/thm/rat/RAT_AINV_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_divide_xO_xO' 'h4/thm/integerRing/int_rewrites_tLRRRLRRR'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lxor_m1_l'#@#variant 'h4/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_le_mono' 'h4/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pred_le_mono' 'h4/thm/transc/EXP_MONO_IMP_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_pos_pos' 'h4/thm/integer/INT_LT_MUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_cancel_r' 'h4/thm/complex/COMPLEX_EQ_RADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_wf_0' 'h4/thm/prim_rec/WF_LESS_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_iff' 'h4/thm/integer/INT_REM_CALCULATE_3'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_succ_l' 'h4/thm/integer/INT_NEG_LMUL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_le_incl' 'h4/thm/rat/RAT_LES_IMP_LEQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_lt_mono_pos_l'#@#variant 'h4/thm/logroot/LE_EXP_ISO_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_compare_lt_iff' 'h4/thm/quote/index_lt_def_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_eq_mul_0' 'h4/thm/integer/INT_ENTIRE_'#@#variant
0. 'coq/Coq_Bool_Bool_eqb_reflx' 'h4/thm/rat/RAT_SUB_ID_'#@#variant
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_lt_antirefl' 'h4/thm/integer/INT_LT_REFL_'
0. 'coq/Coq_Reals_Ratan_Datan_seq_pos'#@#variant 'h4/thm/float/REAL_POW_LE_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_le_mono_r' 'h4/thm/hreal/HRAT_LT_RMUL_'
0. 'coq/Coq_ZArith_Zpower_two_power_pos_nat' 'h4/thm/ieee/Fraction_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_succ_le_mono' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_min_distr' 'h4/thm/complex/COMPLEX_EXP_SUB_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_pred_inj' 'h4/thm/num/INV_SUC_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_0_iff' 'h4/thm/intExtension/INT_SGN_CLAUSES_1'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_minus_one_neq_zero'#@#variant 'h4/thm/binary_ieee/rounding_distinct_4'
0. 'coq/Coq_NArith_BinNat_N_le_succ_diag_r' 'h4/thm/prim_rec/LESS_SUC_SUC_0'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_div2' 'h4/thm/toto/num_dt_size_def_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_succ_r' 'h4/thm/complex/COMPLEX_MUL_RNEG_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_add_r' 'h4/thm/transc/RPOW_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_succ_diag_r' 'h4/thm/prim_rec/LESS_SUC_SUC_0'
0. 'coq/Coq_ZArith_Znat_Nat2Z_id' 'h4/thm/patricia_casts/num_to_string_string_to_num_'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_one_neq_zero' 'h4/thm/binary_ieee/float_compare_distinct_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_lt_iff' 'h4/thm/arithmetic/MIN_LT_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_lcm_l' 'h4/thm/realax/HREAL_LT_ADDL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_lt_mono_pos_r'#@#variant 'h4/thm/logroot/EXP_LE_ISO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_pos_pred' 'h4/thm/frac/frac_sgn_def_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_le_trans' 'h4/thm/integer/INT_LTE_TRANS_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_antisymm' 'h4/thm/arithmetic/LESS_EQUAL_ANTISYM_'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_lt_not_gt' 'h4/thm/rat/RAT_LES_ANTISYM_'
0. 'coq/Coq_Reals_Rbasic_fun_Rmax_neg' 'h4/thm/intExtension/INT_LT_ADD_NEG_'#@#variant
0. 'coq/Coq_QArith_Qround_Qceiling_Z' 'h4/thm/ASCIInumbers/toString_toNum_cancel_'#@#variant
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_incr' 'h4/thm/complex/COMPLEX_OF_REAL_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_asymm' 'h4/thm/hreal/HRAT_LT_GT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_succ_diag_r' 'h4/thm/real/ABS_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_nlt_ge' 'h4/thm/real/REAL_NOT_LT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_lt_mono_pos_l'#@#variant 'h4/thm/transc/RPOW_LT_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_lt_mono' 'h4/thm/numpair/tri_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_rem_opp_l_prime' 'h4/thm/frac/FRAC_AINV_LMUL_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_ge' 'h4/thm/real/REAL_LT_'
0. 'coq/Coq_ZArith_Zorder_Zgt_pos_0' 'h4/thm/string/ORD_BOUND_'#@#variant
0. 'coq/Coq_Reals_ROrderedType_ROrder_le_refl' 'h4/thm/arithmetic/LESS_EQ_REFL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_involutive' 'h4/thm/real/REAL_INV_INV_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_succ' 'h4/thm/numeral/iDUB_removal_1'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_eq_cases' 'h4/thm/integral/LE_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_shuffle3' 'h4/thm/float/REAL_MUL_AC_e2'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_le_mono' 'h4/thm/bit/TWOEXP_MONO2_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_succ_inj_wd' 'h4/thm/complex/CONJ_EQ2_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_le_ngt' 'h4/thm/arithmetic/NOT_LESS_EQUAL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_eq_0' 'h4/thm/arithmetic/MULT_EQ_0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div2_nonneg'#@#variant 'h4/thm/real/REAL_LE_INV_EQ_'#@#variant
0. 'coq/Coq_ZArith_Znat_nat_N_Z' 'h4/thm/rat/rat_sgn_def_'
0. 'coq/Coq_Reals_Raxioms_R1_neq_R0' 'h4/thm/toto/cpn_distinct_1'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_succ'#@#variant 'h4/thm/real/REAL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_succ_l' 'h4/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_ZArith_Znat_Z2Nat_inj_pred' 'h4/thm/complex/COMPLEX_OF_REAL_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_opp_l' 'h4/thm/real/REAL_MUL_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_Zpos' 'h4/thm/real/REAL_OF_NUM_LE_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_pred_double_succ' 'h4/thm/numRing/num_rewrites_tLRLRR'
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_refl' 'h4/thm/extreal/le_refl_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_succ_diag_r' 'h4/thm/real/REAL_POS_INFLATE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lcm_1_l'#@#variant 'h4/thm/rat/RAT_SUB_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_clearbit_spec_prime'#@#variant 'h4/thm/frac/frac_div_def_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftl_mul_pow2'#@#variant 'h4/thm/complex/complex_sub_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_nle_gt' 'h4/thm/HolSmt/r096_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_is_pos'#@#variant 'h4/thm/realax/REAL_POS_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_nonneg' 'h4/thm/integral/LT_0_'
0. 'coq/Coq_ZArith_BinInt_Zpos_eq_iff' 'h4/thm/string_num/s2n_11_'#@#variant
0. 'coq/Coq_ZArith_Znat_Z_N_nat' 'h4/thm/extreal/extreal_of_num_def_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mod_small' 'h4/thm/arithmetic/LESS_MOD_'
0. 'coq/Coq_ZArith_Znat_N2Z_id' 'h4/thm/string/char_BIJ_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_lub_iff' 'h4/thm/arithmetic/MAX_LT_e1'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_lt_mono_r' 'h4/thm/real/REAL_LE_SUB_CANCEL2_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sub_min_distr_l' 'h4/thm/transc/RPOW_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_nlt' 'h4/thm/arithmetic/NOT_LESS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_pred_r' 'h4/thm/arithmetic/ADD_CLAUSES_e3'
0. 'coq/Coq_Reals_Raxioms_R1_neq_R0' 'h4/thm/ieee/ccode_distinct_3'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_minus_one_neq_zero'#@#variant 'h4/thm/real/REAL_10_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_lt_mono_pos_r'#@#variant 'h4/thm/real/REAL_LT_RDIV_'#@#variant
0. 'coq/Coq_ZArith_Zsqrt_compat_Zsqrt_equiv' 'h4/thm/arithmetic/SUC_ONE_ADD_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_2' 'h4/thm/extreal/half_between_e2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_lt_lin'#@#variant 'h4/thm/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Zlt_Qlt' 'h4/thm/string/char_gt_def_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_lt_mono_r' 'h4/thm/real/REAL_LE_SUB_CANCEL2_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_lt_mono_r' 'h4/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_le_compat_l' 'h4/thm/extreal/le_ladd_imp_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_1' 'h4/thm/extreal/half_between_e2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_le_lt_mono' 'h4/thm/integer/INT_LET_ADD2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_lt_mono' 'h4/thm/arithmetic/LESS_MONO_EQ_'
0. 'coq/Coq_ZArith_BinInt_Z_ldiff_m1_l'#@#variant 'h4/thm/numeral/numeral_texp_help_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_1_l' 'h4/thm/rat/RAT_MUL_LZERO_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_add_lt_sub_r' 'h4/thm/integer/INT_LT_ADD_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_inj_wd' 'h4/thm/quote/index_11_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_neg'#@#variant 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRL'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_le_mono_l' 'h4/thm/hrat/TRAT_MUL_WELLDEFINED_'#@#variant
0. 'coq/Coq_Reals_Ratan_ps_atan_opp' 'h4/thm/complex/CONJ_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_mul_r' 'h4/thm/arithmetic/SUB_PLUS_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ldiff_land' 'h4/thm/extreal/extreal_div_def_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_opp_diag_l' 'h4/thm/realax/REAL_ADD_LINV_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_0_sub'#@#variant 'h4/thm/rat/RAT_LES_0SUB_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_mul_le_mono_r' 'h4/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_opp_l' 'h4/thm/complex/COMPLEX_MUL_LNEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_ngt' 'h4/thm/rat/RAT_LEQ_LES_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_succ_le_mono' 'h4/thm/integerRing/int_rewrites_tLRRRLRRRR'
0. 'coq/Coq_NArith_BinNat_N_log2_up_le_lin'#@#variant 'h4/thm/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_wf_0' 'h4/thm/toto/StrongLinearOrder_LESS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_sub_distr' 'h4/thm/frac/FRAC_SUB_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_pred_l' 'h4/thm/arithmetic/ADD_e1'
0. 'coq/Coq_NArith_BinNat_N_log2_double'#@#variant 'h4/thm/transc/LN_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_neq_0_succ' 'h4/thm/transc/EXP_NZ_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_cancel_l' 'h4/thm/complex/COMPLEX_EQ_LADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lor_eq_0_iff' 'h4/thm/gcd/GCD_EQ_0_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_glb_lt_iff' 'h4/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_divide_xO_xO' 'h4/thm/numeral/numeral_lt_4'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_le_compat_l' 'h4/thm/real/REAL_LE_LADD_IMP_'
0. 'coq/Coq_ZArith_Zsqrt_compat_Zsqrt_plain_is_pos'#@#variant 'h4/thm/extreal/le_inv_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_gcd_divide_r' 'h4/thm/extreal/min_le2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_pos'#@#variant 'h4/thm/real/REAL_LT_INV_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_lor' 'h4/thm/transc/EXP_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_opp_r' 'h4/thm/frac/FRAC_AINV_RMUL_'
0. 'coq/Coq_ZArith_BinInt_Z_pred_succ' 'h4/thm/string/EXPLODE_IMPLODE_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_cancel_l' 'h4/thm/rat/RAT_EQ_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_le_mono' 'h4/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_pred_l' 'h4/thm/extreal/mul_lneg_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_succ_diag_r' 'h4/thm/prim_rec/LESS_SUC_SUC_0'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_refl' 'h4/thm/real/REAL_LE_REFL_'
0. 'coq/Coq_Reals_RIneq_Rmult_le_compat_l'#@#variant 'h4/thm/integral/REAL_LE_LMUL1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pos_pred_succ' 'h4/thm/string_num/n2s_s2n_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_max_l' 'h4/thm/integer/INT_DIVIDES_MUL_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_clearbit_spec_prime'#@#variant 'h4/thm/integer/INT_SUB_RNEG_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_diag' 'h4/thm/numeral/iSQR_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_add_le_sub_r' 'h4/thm/integer/INT_LT_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_lt_mono_l' 'h4/thm/arithmetic/LT_ADD_LCANCEL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div_str_pos'#@#variant 'h4/thm/bit/DIV_GT0_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_eq_0_gt_0_cases' 'h4/thm/arithmetic/LESS_0_CASES_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_lub_iff' 'h4/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_QArith_Qabs_Qabs_Qminus' 'h4/thm/real/ABS_SUB_'
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_pos_l'#@#variant 'h4/thm/logroot/LT_EXP_ISO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_sub_lt_add_r' 'h4/thm/extreal/le_sub_imp_'
0. 'coq/Coq_ZArith_Zorder_Zmult_lt_0_le_reg_r'#@#variant 'h4/thm/float/REAL_LT_RCANCEL_IMP_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_divide_mono_r' 'h4/thm/arithmetic/LESS_MONO_MULT_'
0. 'coq/Coq_Reals_Rtrigo1__PI2_RLT_0'#@#variant 'h4/thm/real/REAL_THIRDS_BETWEEN_tRRRL'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_le_mono' 'h4/thm/numeral/numeral_lte_e6'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_odd_1' 'h4/thm/float/FLOAT_INFINITIES_SIGNED_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_negb_odd' 'h4/thm/numRing/num_ring_thms_e17'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_eq_mul_0_r' 'h4/thm/intExtension/INT_NOT0_MUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_le_mono_l' 'h4/thm/integer/INT_LT_LADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lcm_diag' 'h4/thm/extreal/max_refl_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_nonneg_nonpos'#@#variant 'h4/thm/integer/INT_NEG_GT0_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_le_compat_r' 'h4/thm/integer/TINT_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_glb_iff' 'h4/thm/extreal/le_min_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_clearbit_spec_prime'#@#variant 'h4/thm/real/real_sub_'
0. 'coq/Coq_NArith_Nnat_N2Nat_id' 'h4/thm/extreal/real_normal_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_pos'#@#variant 'h4/thm/transc/EXP_LT_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_divide_iff' 'h4/thm/arithmetic/MIN_LT_e1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_le_mono_nonneg_r'#@#variant 'h4/thm/arithmetic/DIV_LE_MONOTONE_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_1_l' 'h4/thm/integer/INT_MUL_LZERO_'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_le_mono_l' 'h4/thm/hrat/TRAT_ADD_WELLDEFINED_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_nlt' 'h4/thm/real/REAL_NOT_LT_'
0. 'coq/Coq_ZArith_Znat_positive_N_nat' 'h4/thm/rat/RAT_SGN_CALCULATE_'
0. 'coq/Coq_PArith_BinPos_Pos_succ_not_1' 'h4/thm/quote/index_distinct_1'
0. 'coq/Coq_PArith_BinPos_Pos_mul_le_mono_l' 'h4/thm/hreal/HRAT_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_0_r'#@#variant 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRL'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_is_nonneg'#@#variant 'h4/thm/float/twogz_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_lt_trans' 'h4/thm/rat/RAT_LEQ_LES_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_lxor_r' 'h4/thm/arithmetic/ADD_CLAUSES_e3'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_inj_wd' 'h4/thm/complex/CONJ_EQ2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_nonneg_nonneg' 'h4/thm/binary_ieee/le2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_nonneg' 'h4/thm/arithmetic/FACT_LESS_'
0. 'coq/Coq_Reals_Rtrigo1_neg_sin' 'h4/thm/transc/SIN_PERIODIC_PI_'
0. 'coq/Coq_Reals_Rtrigo1_PI_neq0' 'h4/thm/toto/all_cpn_distinct_2'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_1' 'h4/thm/numeral/numeral_pre_1'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sub_le_mono_r' 'h4/thm/integer/TINT_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_opp_involutive' 'h4/thm/complex/COMPLEX_INV_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_eq_0' 'h4/thm/arithmetic/MULT_EQ_0_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pow_le_mono_r_iff'#@#variant 'h4/thm/int_arith/lt_justify_multiplication_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_sub_le_add_l' 'h4/thm/arithmetic/SUB_RIGHT_LESS_EQ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_1_l'#@#variant 'h4/thm/integer/INT_SUB_REDUCE_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_divide_xO_xO' 'h4/thm/numeral/numeral_lte_3'
0. 'coq/Coq_ZArith_Znat_positive_nat_Z' 'h4/thm/ieee/Sign_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_pos' 'h4/thm/arithmetic/FACT_LESS_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_odd_1' 'h4/thm/ieee/Plus_infinity_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_eq_mul_0' 'h4/thm/integer/INT_ENTIRE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gt_lt_iff' 'h4/thm/string/string_ge_def_'#@#variant
0. 'coq/Coq_QArith_Qpower_Qpower_pos_positive'#@#variant 'h4/thm/extreal/pow_pos_le_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_diag' 'h4/thm/real/REAL_DOUBLE_'#@#variant
0. 'coq/Coq_Reals_RIneq_Ropp_Ropp_IZR' 'h4/thm/extreal/extreal_ainv_def_e2'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lnot_ones' 'h4/thm/hrat/HRAT_MUL_LINV_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_0_r'#@#variant 'h4/thm/integer/INT_MOD_1_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_pos_r'#@#variant 'h4/thm/intExtension/INT_LT_RMUL_EXP_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_lt_mono_r' 'h4/thm/arithmetic/LESS_EQ_MONO_ADD_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_involutive' 'h4/thm/integerRing/int_rewrites_tLRRRRRRRRRRRRL'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_le_mono_l' 'h4/thm/integer/INT_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_even_1' 'h4/thm/float/FLOAT_INFINITIES_SIGNED_e1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_1_l' 'h4/thm/real/REAL_DIV_LZERO_'
0. 'coq/Coq_ZArith_BinInt_Z_succ_inj_wd' 'h4/thm/numeral/numeral_eq_6'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_ge_cases' 'h4/thm/arithmetic/LESS_CASES_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_nonneg' 'h4/thm/transc/ATN_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_le_lt_mono' 'h4/thm/integer/INT_LET_ADD2_'
0. 'coq/Coq_NArith_BinNat_N_succ_pos_pred' 'h4/thm/util_prob/lg_pow_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_1_r' 'h4/thm/arithmetic/DIV_ONE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_ge_cases' 'h4/thm/real/REAL_LE_TOTAL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_log2' 'h4/thm/extreal/extreal_inv_def_e2'
0. 'coq/Coq_PArith_BinPos_Pplus_one_succ_r' 'h4/thm/arithmetic/DIV2_def_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_eq_mul_0' 'h4/thm/intExtension/INT_NO_ZERODIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_lub_iff' 'h4/thm/util_prob/MAX_LE_X_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_ngt' 'h4/thm/integer/int_le_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_Odd_succ' 'h4/thm/binary_ieee/exp_ge2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_le_mono' 'h4/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_1_r' 'h4/thm/real/REAL_ADD_RID_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_negb_even' 'h4/thm/frac/frac_sgn_def_'
0. 'coq/Coq_ZArith_BinInt_Z_le_succ_diag_r' 'h4/thm/prim_rec/LESS_SUC_SUC_0'
0. 'coq/Coq_Structures_DecidableTypeEx_N_as_DT_lt_not_eq' 'h4/thm/hreal/HRAT_LT_NE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_lt_mono' 'h4/thm/numpair/tri_LT_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_lt_mono_l' 'h4/thm/integer/LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_cancel_l' 'h4/thm/real/REAL_EQ_LADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_succ_le_mono' 'h4/thm/integerRing/int_rewrites_tLRRRLRRRR'
0. 'coq/Coq_ZArith_Znumtheory_not_prime_1'#@#variant 'h4/thm/float/INFINITY_NOT_NAN_0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pred_div2_up' 'h4/thm/toto/num_dt_size_def_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_1_r' 'h4/thm/extreal/add_rzero_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_add_r' 'h4/thm/transc/RPOW_ADD_'
0. 'coq/Coq_Sets_Uniset_incl_left' 'h4/thm/rich_list/IS_SUFFIX_IS_SUBLIST_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_le_mono_nonneg_l'#@#variant 'h4/thm/extreal/le_lmul_imp_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_neq_0_succ' 'h4/thm/quote/index_distinct_e2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_opp' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRL'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_setbit_spec_prime'#@#variant 'h4/thm/complex/complex_div_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rmax_Rlt' 'h4/thm/util_prob/MAX_LE_X_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_lt_mono' 'h4/thm/transc/EXP_MONO_LE_'
0. 'coq/Coq_ZArith_Zquot_Zquot_opp_l' 'h4/thm/integer/INT_NEG_LMUL_'
0. 'coq/Coq_Numbers_Natural_BigN_Nbasic_plusnS' 'h4/thm/complex/COMPLEX_NEG_RMUL_'#@#variant
0. 'coq/Coq_omega_OmegaLemmas_Zred_factor0' 'h4/thm/HolSmt/r223_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_ngt' 'h4/thm/integer/INT_NOT_LT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_lt_mono_pos_r'#@#variant 'h4/thm/real/REAL_LT_RMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_pos_r'#@#variant 'h4/thm/logroot/EXP_LT_ISO_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_is_nonneg'#@#variant 'h4/thm/real/REAL_POS_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_lt_lin'#@#variant 'h4/thm/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div2_double' 'h4/thm/string/EXPLODE_IMPLODE_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_pos_neg'#@#variant 'h4/thm/extreal/mul_le_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_le_compat_l' 'h4/thm/extreal/le_ladd_imp_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_pos_pos' 'h4/thm/binary_ieee/le2_'#@#variant
0. 'coq/Coq_ZArith_Znumtheory_not_prime_0' 'h4/thm/numeral/numeral_evenodd_3'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pred_succ' 'h4/thm/prim_rec/PRE_e1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_trichotomy' 'h4/thm/realax/REAL_LT_TOTAL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_lt_mono' 'h4/thm/integer/INT_LT_NEG_'
0. 'coq/Coq_ZArith_BinInt_Z_div_le_mono'#@#variant 'h4/thm/integral/REAL_LE_RMUL1_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_of_Z' 'h4/thm/binary_ieee/rounding_BIJ_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pred_div2_up' 'h4/thm/toto/num_dt_size_def_e2'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_mul_l' 'h4/thm/integer/INT_DIVIDES_LMUL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_nge' 'h4/thm/integer/INT_NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_le_mono' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_PArith_BinPos_Pos_mul_eq_1_l' 'h4/thm/transc/RPOW_NZ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_max_l' 'h4/thm/integer/INT_DIVIDES_MUL_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lcm_divide_iff' 'h4/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_rem_opp_l_prime' 'h4/thm/arithmetic/PRE_SUB_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_negb_odd' 'h4/thm/util_prob/lg_pow_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_nonneg_nonneg' 'h4/thm/binary_ieee/le2_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gt_lt_iff' 'h4/thm/integer/int_ge_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_le_compat_l' 'h4/thm/extreal/le_ladd_imp_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_lt_le_mono' 'h4/thm/real/REAL_LTE_ADD2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lcm_1_r'#@#variant 'h4/thm/arithmetic/ADD1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_lt_iff' 'h4/thm/extreal/min_le_'
0. 'coq/Coq_Numbers_Cyclic_ZModulo_ZModulo_Ptail_pos'#@#variant 'h4/thm/realax/REAL_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_sub_lt_add_l' 'h4/thm/arithmetic/SUB_RIGHT_LESS_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_1_l'#@#variant 'h4/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qplus_inj_l' 'h4/thm/realax/HREAL_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_lteq' 'h4/thm/arithmetic/GREATER_OR_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_ge_le_iff' 'h4/thm/rat/rat_geq_def_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pred_le_mono' 'h4/thm/transc/EXP_MONO_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_divide/1' 'h4/thm/real/REAL_MIN_LE2_'
0. 'coq/Coq_ZArith_Znat_positive_nat_N' 'h4/thm/ieee/Sign_'#@#variant
0. 'coq/Coq_Reals_Ratan_Alt_PI_eq' 'h4/thm/integer/INT_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_nle_gt' 'h4/thm/real/REAL_NOT_LT_'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_double'#@#variant 'h4/thm/util_prob/neg_lg_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_eq_opp_r' 'h4/thm/complex/CONJ_EQ_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_le_mono' 'h4/thm/numeral/numeral_lte_3'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_le_mono' 'h4/thm/transc/EXP_MONO_IMP_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_nle_gt' 'h4/thm/real/REAL_NOT_LT_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_pos' 'h4/thm/extreal/extreal_of_num_def_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_eq_mul_0' 'h4/thm/rat/RAT_NO_ZERODIV_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Zpos_eq_iff' 'h4/thm/integer/INT_INJ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_neq_0_succ' 'h4/thm/num/ZERO_REP_DEF_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_succ_not_1' 'h4/thm/quote/index_distinct_1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_compare_succ' 'h4/thm/toto/numeralOrd_6'
0. 'coq/Coq_PArith_BinPos_Pos_divide_xO_xO' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_ge_cases' 'h4/thm/integer/INT_LET_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_succ_l' 'h4/thm/complex/COMPLEX_NEG_LDIV_'#@#variant
0. 'coq/Coq_Arith_Mult_mult_lt_compat_l'#@#variant 'h4/thm/arithmetic/EXP_BASE_LEQ_MONO_IMP_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_opp_diag_l' 'h4/thm/hrat/HRAT_MUL_LINV_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_lt_mono_pos_l'#@#variant 'h4/thm/real/REAL_LE_LMUL_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lt_1_mul_pos'#@#variant 'h4/thm/extreal/lte_add_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_add' 'h4/thm/real/REAL_ADD_SUB_ALT_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_pred_succ' 'h4/thm/numeral/numeral_add_0'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mod_1_r'#@#variant 'h4/thm/arithmetic/MOD_ONE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_succ_diag_r' 'h4/thm/bit/BIT_B_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sub_le_mono_l' 'h4/thm/extreal/le_lsub_imp_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_pos_l'#@#variant 'h4/thm/integer/INT_LE_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_neg_neg'#@#variant 'h4/thm/extreal/le_mul_neg_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pow_mul_r' 'h4/thm/frac/FRAC_SUB_ADD_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_is_nonneg' 'h4/thm/realax/REAL_POS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_succ' 'h4/thm/numeral/DIV2_BIT1_'
0. 'coq/Coq_ZArith_Znumtheory_rel_prime_div' 'h4/thm/extreal/let_trans_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_le_mono' 'h4/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_lt_lin'#@#variant 'h4/thm/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_sub_lt' 'h4/thm/arithmetic/SUB_LESS_'
0. 'coq/Coq_ZArith_Znat_Z2N_inj_div2' 'h4/thm/extreal/extreal_inv_def_e2'
0. 'coq/Coq_ZArith_BinInt_Z_divide_factor_r' 'h4/thm/hreal/HRAT_LT_ADDR_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_1_r' 'h4/thm/integer/INT_MUL_REDUCE_0'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_lt_trans' 'h4/thm/real/REAL_LET_TRANS_'
0. 'coq/Coq_QArith_Qround_Zdiv_Qdiv' 'h4/thm/integer/int_add_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pow_lt_mono_r'#@#variant 'h4/thm/integral/REAL_LE_LMUL1_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_nonpos_nonneg'#@#variant 'h4/thm/integer/INT_NEG_LT0_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_le_compat_l' 'h4/thm/integer/INT_LT_LADD_IMP_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_eq_opp_l' 'h4/thm/complex/CONJ_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_le_mono_l' 'h4/thm/realax/HREAL_LT_LADD_'
0. 'coq/Coq_NArith_BinNat_N_sqrt_lt_lin'#@#variant 'h4/thm/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_div_lt'#@#variant 'h4/thm/arithmetic/DIV_LESS_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lt_succ_diag_r' 'h4/thm/numpair/tri_le_'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_le_mono_l' 'h4/thm/arithmetic/LESS_MONO_MULT_'
0. 'coq/Coq_ZArith_Zorder_Zmult_le_compat_l'#@#variant 'h4/thm/logroot/ROOT_LE_MONO_'#@#variant
0. 'coq/Coq_PArith_Pnat_SuccNat2Pos_inj_iff' 'h4/thm/string_num/s2n_11_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_id' 'h4/thm/extreal/max_refl_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_mul_r' 'h4/thm/arithmetic/SUB_RIGHT_SUB_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_1_r' 'h4/thm/real/REAL_MUL_RZERO_'
0. 'coq/Coq_ZArith_BinInt_Z_divide_Zpos' 'h4/thm/string/char_gt_def_'
0. 'coq/Coq_ZArith_BinInt_Z_le_add_le_sub_r' 'h4/thm/real/REAL_LT_SUB_LADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_nonneg' 'h4/thm/integral/LT_0_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_sgn' 'h4/thm/rat/RAT_AINV_CALCULATE_'
0. 'coq/Coq_Reals_Rbasic_fun_Rle_max_compat_r' 'h4/thm/hrat/TRAT_MUL_WELLDEFINED_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_lt_nle' 'h4/thm/extreal/extreal_lt_def_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_add_r' 'h4/thm/integer/INT_DIVIDES_MUL_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_succ_l' 'h4/thm/arithmetic/MULT_e1'
0. 'coq/Coq_Arith_PeanoNat_Nat_mod_0_l' 'h4/thm/integer/INT_QUOT_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_le_compat_r' 'h4/thm/hrat/TRAT_MUL_WELLDEFINED_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_total' 'h4/thm/hreal/HRAT_LT_TOTAL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_refl' 'h4/thm/hrat/TRAT_EQ_REFL_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div_0_l' 'h4/thm/integer/INT_REM0_'#@#variant
0. 'coq/Coq_Reals_RIneq_cond_pos'#@#variant 'h4/thm/frac/FRAC_DNMPOS_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_involutive' 'h4/thm/integer/INT_QUOT_CALCULATE_e4'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_pred_l' 'h4/thm/complex/COMPLEX_NEG_LDIV_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftr_div_pow2'#@#variant 'h4/thm/HolSmt/r224_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lor_diag' 'h4/thm/real/REAL_MAX_REFL_'
0. 'coq/Coq_Reals_Rpower_exp_Ropp' 'h4/thm/numRing/num_rewrites_tLRLRRRRRR'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_glb_lt_iff' 'h4/thm/extreal/le_min_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_gcd_divide_iff' 'h4/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_total' 'h4/thm/extreal/lt_total_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_involutive' 'h4/thm/real/REAL_NEG_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_setbit_spec_prime'#@#variant 'h4/thm/rat/RAT_SUB_ADDAINV_'
0. 'coq/Coq_ZArith_BinInt_Z_lcm_diag' 'h4/thm/real/REAL_DOUBLE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_Even_succ' 'h4/thm/binary_ieee/exp_gt2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_1_r' 'h4/thm/HolSmt/r080_'
0. 'coq/Coq_NArith_BinNat_N_log2_up_le_mono' 'h4/thm/transc/EXP_MONO_IMP_'
0. 'coq/Coq_QArith_QArith_base_Qplus_le_r' 'h4/thm/integer/INT_LE_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftr_opp_r' 'h4/thm/rat/RAT_SUB_ADDAINV_'
0. 'coq/Coq_Strings_Ascii_ascii_nat_embedding' 'h4/thm/frac/frac_tybij_0'#@#variant
0. 'coq/Coq_Reals_RIneq_pos_INR'#@#variant 'h4/thm/extreal/lt_infty_0'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_lxor_l' 'h4/thm/integer/INT_NEG_LMUL_'
0. 'coq/Coq_ZArith_BinInt_Zpos_eq_iff' 'h4/thm/extreal/extreal_11_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div2_spec'#@#variant 'h4/thm/arithmetic/DIV2_def_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_ldiff_land' 'h4/thm/integer/INT_SUB_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_succ_r' 'h4/thm/util_prob/LE_SUC_'
0. 'coq/Coq_Reals_Exp_prop_div2_double'#@#variant 'h4/thm/transc/ATN_e2'
0. 'coq/Coq_Numbers_Cyclic_ZModulo_ZModulo_Ptail_pos'#@#variant 'h4/thm/integer/INT_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_le_mono_l' 'h4/thm/hreal/HRAT_LT_LADD_'
0. 'coq/Coq_Reals_Rbasic_fun_Rmin_Rgt' 'h4/thm/arithmetic/MAX_LE_e1'
0. 'coq/Coq_NArith_Nnat_Nat2N_id' 'h4/thm/ieee/num2ccode_ccode2num_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_mul_r' 'h4/thm/arithmetic/SUB_RIGHT_SUB_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sub_1_r'#@#variant 'h4/thm/arithmetic/ADD1_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_nonneg_l'#@#variant 'h4/thm/real/REAL_LT_LMUL_IMP_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_factor_r' 'h4/thm/hreal/HRAT_LT_ADDR_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_asymm' 'h4/thm/string/string_lt_antisym_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_neg_pos'#@#variant 'h4/thm/integer/INT_NEG_LE0_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_max_le_compat_l' 'h4/thm/real/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_Odd_succ' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRL'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_add_lt_sub_r' 'h4/thm/real/REAL_LE_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sub_le_mono_r' 'h4/thm/hrat/TRAT_ADD_WELLDEFINED_'#@#variant
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_le_neq' 'h4/thm/rat/RAT_LES_TOTAL_'
0. 'coq/Coq_NArith_BinNat_N_add_pos_nonneg'#@#variant 'h4/thm/integer/INT_LTE_ADD_'#@#variant
0. 'coq/Coq_ZArith_Zdiv_Zmod_1_l'#@#variant 'h4/thm/arithmetic/ZERO_MOD_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lxor_eq_0_iff' 'h4/thm/rat/RAT_EQ_SUB0_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_add_le_mono_l' 'h4/thm/integer/INT_LE_LADD_'
0. 'coq/Coq_Reals_RIneq_cond_pos'#@#variant 'h4/thm/extreal/lt_infty_0'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_neq' 'h4/thm/prim_rec/NOT_LESS_EQ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_le_mono_r' 'h4/thm/integer/INT_LE_RADD_'
0. 'coq/Coq_ZArith_Znat_Z_N_nat' 'h4/thm/rat/rat_nmr_def_'
0. 'coq/Coq_NArith_BinNat_N_max_le_compat_r' 'h4/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Reals_ROrderedType_ROrder_le_refl' 'h4/thm/realax/TREAL_EQ_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_opp' 'h4/thm/integer/INT_ABS_NEG_'
0. 'coq/Coq_ZArith_Znat_N_nat_Z' 'h4/thm/rat/RAT_SGN_CALCULATE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lnot_0_l' 'h4/thm/HolSmt/r129_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_abs_IZR' 'h4/thm/extreal/extreal_abs_def_0'
0. 'coq/Coq_NArith_BinNat_N_lt_lt_add_l' 'h4/thm/integer/INT_DIVIDES_RMUL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_gt_cases' 'h4/thm/real/REAL_LET_TOTAL_'
0. 'coq/Coq_PArith_BinPos_Pos_max_lt_iff' 'h4/thm/util_prob/X_LE_MAX_'
0. 'coq/Coq_PArith_BinPos_Pos_max_lt_iff' 'h4/thm/extreal/le_max_'
0. 'coq/Coq_NArith_BinNat_N_add_succ_l' 'h4/thm/complex/COMPLEX_MUL_LNEG_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_Odd_succ' 'h4/thm/binary_ieee/exp_ge2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_le_mono' 'h4/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Reals_Rpower_arcsinh_sinh' 'h4/thm/transc/ATN_e2'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_negb_odd' 'h4/thm/integerRing/int_ring_thms_e17'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_ldiff_land' 'h4/thm/integer/INT_SUB_CALCULATE_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_le_compat_r' 'h4/thm/integer/TINT_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_lt_mono_pos_r'#@#variant 'h4/thm/real/REAL_LT_RDIV_'#@#variant
0. 'coq/Coq_QArith_Qround_Qfloor_Z' 'h4/thm/binary_ieee/rounding_BIJ_0'
0. 'coq/Coq_PArith_BinPos_Pos_add_succ_r' 'h4/thm/complex/COMPLEX_NEG_RDIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_opp_r' 'h4/thm/integer/INT_SUB_CALCULATE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_shuffle3' 'h4/thm/float/REAL_MUL_AC_e2'
0. 'coq/Coq_QArith_Qcanon_Qcopp_involutive' 'h4/thm/real/REAL_NEGNEG_'
0. 'coq/Coq_Arith_Max_le_max_l' 'h4/thm/realax/HREAL_LT_ADDL_'
0. 'coq/Coq_Reals_RIneq_Rge_refl' 'h4/thm/integer/INT_DIVIDES_REFL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_pos_le'#@#variant 'h4/thm/divides/DIVIDES_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_0_iff' 'h4/thm/integer/INT_ABS_EQ0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_pos_pos' 'h4/thm/binary_ieee/le2_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_le_mono' 'h4/thm/bit/TWOEXP_MONO_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_succ_r' 'h4/thm/real/REAL_MUL_RNEG_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_nge' 'h4/thm/integer/int_le_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_eq_cases' 'h4/thm/integral/LE_LT_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lor_0_l' 'h4/thm/realax/TREAL_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_le_mono' 'h4/thm/bit/TWOEXP_MONO_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_cancel_l' 'h4/thm/rat/RAT_EQ_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_opp' 'h4/thm/numRing/num_rewrites_tLRRRRRRLRRRR'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lnot_0_l' 'h4/thm/rat/RAT_SUB_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_succ_r' 'h4/thm/frac/FRAC_AINV_RMUL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_cancel_l' 'h4/thm/arithmetic/EQ_ADD_LCANCEL_'
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_le_mono' 'h4/thm/numpair/tri_LT_I_'
0. 'coq/Coq_QArith_Qpower_Qpower_pos'#@#variant 'h4/thm/real/POW_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_le_mono' 'h4/thm/divides/LT_PRIMES_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div_1_r' 'h4/thm/extreal/add_rzero_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_le_mono_l' 'h4/thm/integer/LT_LADD_'
0. 'coq/Coq_NArith_BinNat_N_log2_le_mono' 'h4/thm/bit/TWOEXP_MONO_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_setbit_spec_prime'#@#variant 'h4/thm/HolSmt/r131_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_succ_le_mono' 'h4/thm/numpair/tri_LE_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_nonneg_nonneg' 'h4/thm/realax/REAL_LT_MUL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_max_le_compat_r' 'h4/thm/hrat/TRAT_MUL_WELLDEFINED_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_1' 'h4/thm/integer/INT_NEG_0_'
0. 'coq/Coq_Lists_List_rev_involutive' 'h4/thm/toto/toto_inv_toto_inv_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_0_succ' 'h4/thm/arithmetic/FACT_LESS_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gt_lt_iff' 'h4/thm/integer/int_ge_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_lub_iff' 'h4/thm/arithmetic/MAX_LT_e1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_neg_pos'#@#variant 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRL'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_id' 'h4/thm/extreal/min_refl_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_lt_mono_r' 'h4/thm/arithmetic/LE_ADD_RCANCEL_'
0. 'coq/Coq_Reals_RIneq_Rplus_gt_compat_r' 'h4/thm/extreal/le_radd_imp_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_le_mono_r' 'h4/thm/arithmetic/LT_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_inj_wd' 'h4/thm/numeral/numeral_eq_e7'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_1_l'#@#variant 'h4/thm/rat/RAT_SUB_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_lt_lin'#@#variant 'h4/thm/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sub_le_mono_r' 'h4/thm/integer/TINT_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_glb_lt_iff' 'h4/thm/extreal/le_min_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_comm' 'h4/thm/hrat/TRAT_MUL_SYM_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_lt_mono' 'h4/thm/numeral/numeral_lt_4'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_divide_mono_r' 'h4/thm/arithmetic/LESS_MONO_ADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_succ_l' 'h4/thm/frac/FRAC_AINV_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_le_mono_r' 'h4/thm/arithmetic/LESS_EQ_MONO_ADD_EQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_succ_l' 'h4/thm/frac/FRAC_AINV_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_pos_l'#@#variant 'h4/thm/int_arith/justify_divides_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zmult_lt_0_le_compat_r'#@#variant 'h4/thm/arithmetic/DIV_LE_MONOTONE_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sub_le_mono_r' 'h4/thm/integer/TINT_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_add_le_mono_l' 'h4/thm/realax/HREAL_LT_LADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_negb_even' 'h4/thm/util_prob/lg_pow_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_diag' 'h4/thm/HolSmt/r216_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_divide_antisym' 'h4/thm/divides/DIVIDES_ANTISYM_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_le_mono' 'h4/thm/extreal/lt_neg_'
0. 'coq/Coq_NArith_BinNat_N_div_0_l' 'h4/thm/integer/INT_REM0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_le_compat_r' 'h4/thm/hrat/TRAT_MUL_WELLDEFINED_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_inj_wd' 'h4/thm/quote/index_11_0'
0. 'coq/Coq_ZArith_Zeven_Zeven_odd_bool' 'h4/thm/frac/frac_sgn_def_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_0_l' 'h4/thm/integer/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_nonneg' 'h4/thm/divides/ZERO_LT_PRIMES_'
0. 'coq/Coq_ZArith_BinInt_Z_ltb_lt' 'h4/thm/quote/index_lt_def_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_factor_l' 'h4/thm/real/REAL_LE_MAX1_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_succ_le_mono' 'h4/thm/transc/EXP_MONO_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sub_min_distr_l' 'h4/thm/transc/RPOW_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lor_eq_0_iff' 'h4/thm/arithmetic/MULT_EQ_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_le_compat_r' 'h4/thm/arithmetic/LESS_MONO_MULT_'
0. 'coq/Coq_NArith_BinNat_N_pow_lt_mono_r_iff'#@#variant 'h4/thm/real/REAL_LT_LMUL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_rem_0_l' 'h4/thm/integer/INT_REM0_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_succ_lt_mono' 'h4/thm/integerRing/int_rewrites_tLRRRLRRRR'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_diag' 'h4/thm/real/REAL_MAX_REFL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_greatest' 'h4/thm/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_sub_le_add_r' 'h4/thm/integer/INT_LE_SUB_LADD_'
0. 'coq/Coq_ZArith_BinInt_Z_div_0_l' 'h4/thm/integer/INT_QUOT_0_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_nle_gt' 'h4/thm/rat/RAT_LEQ_LES_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lor_eq_0_iff' 'h4/thm/gcd/GCD_EQ_0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_1' 'h4/thm/real/REAL_NEG_0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_1_r' 'h4/thm/HolSmt/r214_'
0. 'coq/Coq_ZArith_Zquot_Zquot_opp_r' 'h4/thm/complex/COMPLEX_MUL_RNEG_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_inj_wd' 'h4/thm/quote/index_11_e1'
0. 'coq/Coq_Arith_PeanoNat_Nat_setbit_spec_prime'#@#variant 'h4/thm/real/REAL_SUB_RNEG_'
0. 'coq/Coq_Reals_Rtrigo_def_cos_sym' 'h4/thm/numRing/num_rewrites_tLRRRRRRLRRRR'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_le_iff' 'h4/thm/real/REAL_MIN_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_lt_mono_r' 'h4/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_ZArith_BinInt_Z_shiftl_1_l'#@#variant 'h4/thm/HolSmt/r128_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qeq_refl' 'h4/thm/integer/INT_LE_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_nge' 'h4/thm/arithmetic/NOT_LESS_'
0. 'coq/Coq_Reals_Rtrigo_calc_sqrt2_neq_0'#@#variant 'h4/thm/binary_ieee/rounding_distinct_3'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_sub_le_add_r' 'h4/thm/integer/INT_LT_SUB_LADD_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_is_nonneg'#@#variant 'h4/thm/binary_ieee/zero_lt_twopow_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_rem_opp_l_prime' 'h4/thm/integer/INT_MUL_CALCULATE_1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sub_add' 'h4/thm/hreal/HREAL_SUB_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mod_0_l' 'h4/thm/integer/INT_REM0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_lt_mono_nonneg'#@#variant 'h4/thm/real/REAL_LE_MUL2_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_opp_max_distr' 'h4/thm/complex/COMPLEX_EXP_SUB_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_le_mono_r' 'h4/thm/rat/RAT_LES_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_nge' 'h4/thm/HolSmt/r115_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_even_1' 'h4/thm/ieee/Minus_zero_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ldiff_m1_r'#@#variant 'h4/thm/arithmetic/EXP_0'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lt_irrefl' 'h4/thm/real/REAL_LT_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_succ_diag_r' 'h4/thm/numpair/tri_le_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_0_l' 'h4/thm/integral/LE_0_'
0. 'coq/Coq_ZArith_BinInt_Z_lxor_m1_l'#@#variant 'h4/thm/HolSmt/r221_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_lcm_l' 'h4/thm/real/REAL_LE_MAX1_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_nle' 'h4/thm/rat/RAT_LEQ_LES_'
0. 'coq/Coq_Reals_Exp_prop_exp_pos' 'h4/thm/divides/ZERO_LT_PRIMES_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ldiff_m1_l'#@#variant 'h4/thm/integer/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rmult_lt_0_compat' 'h4/thm/realax/REAL_LT_MUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_nlt_ge' 'h4/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_lt_mono_pos_r'#@#variant 'h4/thm/real/REAL_LT_RMUL_'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_iff' 'h4/thm/binary_ieee/float_compare_EQ_float_compare_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_divide_mul_r' 'h4/thm/integer/INT_DIVIDES_RMUL_'
0. 'coq/Coq_QArith_QArith_base_Qmult_le_r'#@#variant 'h4/thm/rat/RAT_LES_RMUL_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_pos_l'#@#variant 'h4/thm/rat/RAT_LES_LMUL_POS_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_0_r'#@#variant 'h4/thm/arithmetic/MOD_ONE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftl_opp_r' 'h4/thm/frac/frac_sub_def_'
0. 'coq/Coq_Reals_RIneq_Rgt_not_eq' 'h4/thm/prim_rec/LESS_NOT_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_add_r' 'h4/thm/divides/DIVIDES_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_succ_lt_mono' 'h4/thm/numeral/numeral_lt_3'
0. 'coq/Coq_Arith_PeanoNat_Nat_lxor_nilpotent' 'h4/thm/integer/INT_SUB_REFL_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_divide_mono_l' 'h4/thm/real/REAL_LT_IADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_add_pos_l'#@#variant 'h4/thm/arithmetic/X_LT_EXP_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_irrefl' 'h4/thm/integer/TINT_LT_REFL_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_negb_even' 'h4/thm/ratRing/rat_ring_thms_e17'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_cancel_l' 'h4/thm/integer/EQ_LADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_quot_mul' 'h4/thm/real/REAL_DIV_RMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_le_compat_l' 'h4/thm/realax/TREAL_LT_ADD_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_succ_lt_mono' 'h4/thm/numeral/numeral_distrib_22'
0. 'coq/Coq_QArith_QArith_base_inject_Z_opp' 'h4/thm/DeepSyntax/deep_form_size_def_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lcm_eq_0' 'h4/thm/extreal/entire_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_involutive' 'h4/thm/real/REAL_NEGNEG_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_ngt' 'h4/thm/rat/RAT_LEQ_LES_'
0. 'coq/Coq_fourier_Fourier_util_Rfourier_lt'#@#variant 'h4/thm/arithmetic/EXP_BASE_LEQ_MONO_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_lt_trans' 'h4/thm/rat/RAT_LEQ_LES_TRANS_'
0. 'coq/Coq_ZArith_BinInt_Z_succ_inj_wd' 'h4/thm/numeral/numeral_distrib_19'
0. 'coq/Coq_NArith_BinNat_N_lt_add_lt_sub_r' 'h4/thm/integer/INT_LT_ADD_SUB_'
0. 'coq/Coq_Bool_Bool_andb_diag' 'h4/thm/arithmetic/MIN_IDEM_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftl_opp_r' 'h4/thm/integer/INT_SUB_CALCULATE_'
0. 'coq/Coq_ZArith_BinInt_Z_log2_le_mono' 'h4/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_eqke_trans'#@#variant 'h4/thm/sorting/PERM_TRANS_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_neg_iff' 'h4/thm/ASCIInumbers/toString_inj_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rge_gt_trans' 'h4/thm/extreal/let_trans_'
0. 'coq/Coq_Arith_PeanoNat_Nat_nlt_ge' 'h4/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_Reals_Rfunctions_powerRZ_lt'#@#variant 'h4/thm/real/POW_POS_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_neg'#@#variant 'h4/thm/real/REAL_NEG_LT0_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_max_id' 'h4/thm/real/REAL_MIN_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_le_0_sub'#@#variant 'h4/thm/arithmetic/SUB_LESS_0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_0_l' 'h4/thm/numeral/numeral_texp_help_0'
0. 'coq/__constr_Coq_Init_Peano_le_0_1' 'h4/thm/integer/INT_DIVIDES_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_opp_r' 'h4/thm/integer/int_sub_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_asymm' 'h4/thm/integer/INT_LT_GT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_inj_wd' 'h4/thm/numRing/num_rewrites_tRRRRRRRLR'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_nlt_ge' 'h4/thm/arithmetic/NOT_LESS_EQUAL_'
0. 'coq/Coq_ZArith_BinInt_Z_le_sub_le_add_l' 'h4/thm/arithmetic/SUB_RIGHT_GREATER_'
0. 'coq/Coq_Arith_Min_le_min_r' 'h4/thm/real/REAL_MIN_LE2_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_0_l' 'h4/thm/integer/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_diag' 'h4/thm/arithmetic/MIN_IDEM_'
0. 'coq/Coq_NArith_BinNat_N_min_l' 'h4/thm/real/REAL_MIN_ALT_0'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_le_compat_l' 'h4/thm/real/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_succ_r' 'h4/thm/complex/COMPLEX_NEG_RDIV_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mod_1_l'#@#variant 'h4/thm/arithmetic/ZERO_DIV_'#@#variant
0. 'coq/Coq_Arith_Max_max_idempotent' 'h4/thm/arithmetic/MIN_IDEM_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_nonneg_pos'#@#variant 'h4/thm/integer/INT_LET_ADD_'#@#variant
0. 'coq/Coq_Init_Peano_plus_n_Sm' 'h4/thm/integer/INT_NEG_RMUL_'
0. 'coq/Coq_QArith_QArith_base_Qle_lt_trans' 'h4/thm/arithmetic/LESS_EQ_LESS_TRANS_'
0. 'coq/Coq_Arith_Min_le_min_l' 'h4/thm/arithmetic/SUB_LESS_EQ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_null_iff' 'h4/thm/integer/INT_DIV_CALCULATE_3'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_lub_iff' 'h4/thm/util_prob/MAX_LE_X_'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_lt_not_gt' 'h4/thm/real/REAL_LT_ANTISYM_'
0. 'coq/Coq_ZArith_Znat_Zabs_nat_N' 'h4/thm/ieee/Sign_'#@#variant
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_div2' 'h4/thm/toto/num_dt_size_def_e2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sub_le_mono_r' 'h4/thm/integer/TINT_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_lt_cancel' 'h4/thm/arithmetic/LESS_MONO_REV_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_le_iff' 'h4/thm/arithmetic/MAX_LE_0'
0. 'coq/Coq_ZArith_Zeven_Zodd_not_Zeven' 'h4/thm/float/FLOAT_DISTINCT_2'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_succ_le_mono' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_ZArith_BinInt_Z_lcm_1_l'#@#variant 'h4/thm/HolSmt/r221_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_ldiff_ldiff_l' 'h4/thm/arithmetic/SUB_PLUS_'
0. 'coq/Coq_MSets_MSetPositive_PositiveSet_E_bits_lt_antirefl' 'h4/thm/integer/INT_LT_REFL_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_iff' 'h4/thm/real/eq_ints_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_lt_mono_r_iff' 'h4/thm/rat/RAT_LES_LMUL_POS_'
0. 'coq/Coq_NArith_BinNat_N_lnot_0_l' 'h4/thm/HolSmt/r128_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sub_succ' 'h4/thm/extreal/neg_mul2_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_lt_le_mono' 'h4/thm/integer/INT_LTE_ADD2_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_lt_iff' 'h4/thm/real/REAL_LE_MAX_'
0. 'coq/Coq_NArith_BinNat_N_odd_1' 'h4/thm/float/FLOAT_INFINITIES_SIGNED_e1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_l' 'h4/thm/realax/TREAL_LT_ADD_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lcm_eq_0' 'h4/thm/intExtension/INT_NO_ZERODIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_1_r' 'h4/thm/rat/RAT_MUL_RZERO_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_add' 'h4/thm/real/REAL_ADD_SUB_ALT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_le_compat_l' 'h4/thm/integer/TINT_LT_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_succ_r' 'h4/thm/arithmetic/ADD_CLAUSES_e3'
0. 'coq/Coq_ZArith_Znat_Zabs2Nat_id' 'h4/thm/extreal/real_normal_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_le_compat_r' 'h4/thm/integer/TINT_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_le_add_r' 'h4/thm/arithmetic/LESS_EQ_ADD_'
0. 'coq/Coq_PArith_BinPos_Pos_min_l' 'h4/thm/arithmetic/LESS_MOD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_inj_wd' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_divide_mono_r' 'h4/thm/hrat/TRAT_MUL_WELLDEFINED_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_total' 'h4/thm/rat/RAT_LES_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pred_div2_up' 'h4/thm/complex/COMPLEX_OF_REAL_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_neq_0_lt_0'#@#variant 'h4/thm/arithmetic/NOT_ZERO_LT_ZERO_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qlt_irrefl' 'h4/thm/string/string_lt_nonrefl_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_le_iff' 'h4/thm/arithmetic/MAX_LT_0'
0. 'coq/Coq_Numbers_Cyclic_DoubleCyclic_DoubleBase_wB_pos'#@#variant 'h4/thm/real/POW_2_LE1_'#@#variant
0. 'coq/Coq_Reals_AltSeries_Alt_PI_RGT_0' 'h4/thm/transc/PI2_BOUNDS_e1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_eq_0_l' 'h4/thm/transc/RPOW_NZ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_glb_iff' 'h4/thm/arithmetic/MIN_LT_e1'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_ones_equiv'#@#variant 'h4/thm/numRing/num_rewrites_tLRLRR'
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_le_mono' 'h4/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_sub' 'h4/thm/real/REAL_ADD_SUB_ALT_'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_pred' 'h4/thm/extreal/extreal_inv_def_e2'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_divide_refl' 'h4/thm/poly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zmult_le_compat_r'#@#variant 'h4/thm/real/REAL_LT_RMUL_IMP_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_add_lt_mono_r' 'h4/thm/arithmetic/LT_ADD_RCANCEL_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_iff' 'h4/thm/ieee/roundmode2num_11_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_id' 'h4/thm/real/NUM_FLOOR_EQNS_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_lt_mono_r' 'h4/thm/arithmetic/LESS_EQ_MONO_ADD_EQ_'
0. 'coq/Coq_QArith_QArith_base_Zlt_Qlt' 'h4/thm/extreal/extreal_le_def_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_divide_mono_l' 'h4/thm/realax/REAL_LT_IADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_sub_lt_add_r' 'h4/thm/integer/INT_LT_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_land_diag' 'h4/thm/arithmetic/MIN_IDEM_'
0. 'coq/Coq_ZArith_BinInt_Z_max_lub_iff' 'h4/thm/util_prob/MAX_LE_X_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_move_0_l' 'h4/thm/integer/INT_RNEG_UNIQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_inj_wd' 'h4/thm/string/EXPLODE_11_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftl_mul_pow2'#@#variant 'h4/thm/extreal/extreal_div_def_'
0. 'coq/Coq_NArith_BinNat_N_log2_nonneg' 'h4/thm/transc/ATN_BOUNDS_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_nle_gt' 'h4/thm/real/REAL_NOT_LT_'
0. 'coq/Coq_Reals_SeqProp_CV_minus' 'h4/thm/seq/SER_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_eq_0_r' 'h4/thm/intExtension/INT_NOT0_MUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_cancel_l' 'h4/thm/rat/RAT_EQ_LMUL_'#@#variant
0. 'coq/Coq_Bool_Bool_negb_andb' 'h4/thm/transc/EXP_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_cancel_l' 'h4/thm/hreal/HRAT_EQ_LMUL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_null'#@#variant 'h4/thm/intExtension/INT_SGN_CLAUSES_e2'#@#variant
0. 'coq/Coq_Reals_Rpower_arcsinh_sinh' 'h4/thm/prim_rec/PRE_e1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_succ_l' 'h4/thm/arithmetic/ADD_e1'
0. 'coq/Coq_Reals_Raxioms_R1_neq_R0' 'h4/thm/float/not2eqz_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div_0_l' 'h4/thm/integer/INT_QUOT_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_le_mono_r' 'h4/thm/arithmetic/LT_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_even_sub' 'h4/thm/float/REAL_OF_NUM_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_1_l' 'h4/thm/HolSmt/r128_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ldiff_m1_l'#@#variant 'h4/thm/HolSmt/r129_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_pos_nonneg'#@#variant 'h4/thm/extreal/let_mul_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_setbit_spec_prime'#@#variant 'h4/thm/HolSmt/r224_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_quot_1_r' 'h4/thm/HolSmt/r127_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_lt_mono_nonneg'#@#variant 'h4/thm/integer/INT_LT_MUL2_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_le_mono_l' 'h4/thm/arithmetic/LT_ADD_LCANCEL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_max_id' 'h4/thm/extreal/min_refl_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_ge_cases' 'h4/thm/integer/INT_LET_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_divide/0' 'h4/thm/arithmetic/SUB_LESS_EQ_'
0. 'coq/Coq_ZArith_BinInt_Z_divide_lcm_l' 'h4/thm/extreal/le_max1_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_simpl_r' 'h4/thm/real/REAL_SUB_ADD_'
0. 'coq/Coq_QArith_Qreduction_Qred_opp' 'h4/thm/complex/CONJ_NEG_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_negb_even' 'h4/thm/util_prob/lg_pow_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pred_le_mono' 'h4/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_le_mono' 'h4/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_eq_le_incl' 'h4/thm/hrat/TRAT_EQ_AP_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_refl' 'h4/thm/integer/TINT_EQ_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_succ_l' 'h4/thm/extreal/mul_lneg_'
0. 'coq/Coq_PArith_Pnat_SuccNat2Pos_inj_iff' 'h4/thm/integer/INT_REM_CALCULATE_3'
0. 'coq/Coq_NArith_BinNat_N_lt_le_incl' 'h4/thm/arithmetic/LESS_IMP_LESS_OR_EQ_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_min_distr_l' 'h4/thm/arithmetic/EXP_ADD_'
0. 'coq/Coq_PArith_BinPos_Pos_max_lub_lt' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_e2'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pos_pred_succ' 'h4/thm/binary_ieee/num2rounding_rounding2num_'
0. 'coq/Coq_Lists_List_length_zero_iff_nil' 'h4/thm/list/LENGTH_NIL_SYM_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_le_incl' 'h4/thm/integer/INT_LT_IMP_LE_'
0. 'coq/Coq_PArith_Pnat_SuccNat2Pos_inj_iff' 'h4/thm/real/REAL_OF_NUM_EQ_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_nge' 'h4/thm/HolSmt/r096_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_neq' 'h4/thm/extreal/lt_imp_ne_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_succ' 'h4/thm/extreal/extreal_ainv_def_e2'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_glb_lt' 'h4/thm/divides/DIVIDES_ADD_1_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_pos' 'h4/thm/rat/rat_nmr_def_'
0. 'coq/Coq_Reals_Rpower_ln_exp' 'h4/thm/numpair/invtri_linverse_'
0. 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_mult_lt_compat_l'#@#variant 'h4/thm/arithmetic/EXP_BASE_LEQ_MONO_IMP_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_add_lt_mono_l' 'h4/thm/real/REAL_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_lub_lt_iff' 'h4/thm/util_prob/MAX_LE_X_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_lt_mono_r' 'h4/thm/arithmetic/LE_ADD_RCANCEL_'
0. 'coq/Coq_ZArith_BinInt_Z_pred_lt_mono' 'h4/thm/integerRing/int_rewrites_tLRRRLRRR'
0. 'coq/Coq_Numbers_Cyclic_DoubleCyclic_DoubleBase_lt_0_wB'#@#variant 'h4/thm/frac/FRAC_DNMPOS_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_divide' 'h4/thm/string/char_le_def_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_stepr' 'h4/thm/integer/INT_LTE_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_id' 'h4/thm/extreal/max_refl_'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_double'#@#variant 'h4/thm/toto/num_dt_size_def_e2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lcm_1_l'#@#variant 'h4/thm/integer/INT_SUB_REDUCE_1'#@#variant
0. 'coq/Coq_Init_Peano_not_eq_S' 'h4/thm/divides/PRIMES_11_'
0. 'coq/Coq_NArith_BinNat_N_add_1_l' 'h4/thm/rat/RAT_SUB_LID_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_lt_mono_r'#@#variant 'h4/thm/integral/REAL_LE_LMUL1_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_div2_double' 'h4/thm/numpair/invtri_linverse_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_l' 'h4/thm/integer/TINT_LT_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_lt_iff' 'h4/thm/arithmetic/MAX_LE_0'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_1_succ' 'h4/thm/transc/ATN_BOUNDS_0'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_lt_mono_l' 'h4/thm/hreal/HRAT_LT_LADD_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_opp' 'h4/thm/complex/COMPLEX_OF_REAL_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_antisym' 'h4/thm/arithmetic/LESS_EQUAL_ANTISYM_'
0. 'coq/Coq_ZArith_BinInt_Z_shiftr_opp_r' 'h4/thm/complex/COMPLEX_SUB_RNEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div_1_r' 'h4/thm/HolSmt/r214_'
0. 'coq/Coq_ZArith_BinInt_Zpos_eq_iff' 'h4/thm/integerRing/int_calculate_8'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_succ_diag_r' 'h4/thm/divides/INDEX_LESS_PRIMES_'
0. 'coq/Coq_NArith_BinNat_N_eq_0_gt_0_cases' 'h4/thm/arithmetic/LESS_0_CASES_'
0. 'coq/Coq_ZArith_BinInt_Z_pred_succ' 'h4/thm/numeral/DIV2_BIT1_'
0. 'coq/Coq_QArith_Qcanon_Q_apart_0_1'#@#variant 'h4/thm/ieee/roundmode_distinct_e5'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_eq_le_incl' 'h4/thm/realax/TREAL_EQ_AP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_le_mono_pos_r'#@#variant 'h4/thm/intExtension/INT_GT_RMUL_EXP_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_inv_normc' 'h4/thm/complex/COMPLEX_OF_REAL_INV_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_trichotomy' 'h4/thm/realax/REAL_LT_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_ge_le_iff' 'h4/thm/arithmetic/GREATER_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_pred_l' 'h4/thm/extreal/mul_lneg_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_lt_mono_pos_l'#@#variant 'h4/thm/int_arith/justify_divides_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_eq_add_0' 'h4/thm/gcd/GCD_EQ_0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_quot_1_r' 'h4/thm/HolSmt/r127_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_0_mul_prime' 'h4/thm/arithmetic/ZERO_LESS_MULT_'
0. 'coq/Coq_PArith_BinPos_Pos_add_diag' 'h4/thm/HolSmt/r216_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_pow_1_l'#@#variant 'h4/thm/arithmetic/ZERO_DIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lxor_m1_l'#@#variant 'h4/thm/extreal/sub_lzero_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_of_Qc_bis' 'h4/thm/complex/MODU_POS_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pow_gt_lin_r'#@#variant 'h4/thm/arithmetic/X_LT_EXP_X_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_min_id' 'h4/thm/extreal/min_refl_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_neq' 'h4/thm/integer/INT_LT_LE_'
0. 'coq/Coq_NArith_BinNat_N_lt_le_trans' 'h4/thm/rat/RAT_LES_LEQ_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_factor_l' 'h4/thm/hreal/HRAT_LT_ADDL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_0_r' 'h4/thm/arithmetic/LE_0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lcm_1_r' 'h4/thm/extreal/sub_rzero_'
0. 'coq/Coq_ZArith_BinInt_Z_add_move_r' 'h4/thm/integer/INT_EQ_SUB_RADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_le_mono' 'h4/thm/bit/TWOEXP_MONO2_'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qclt_not_eq' 'h4/thm/real/REAL_LT_IMP_NE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_le_compat_l' 'h4/thm/real/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_le_compat_l' 'h4/thm/real/REAL_LT_IADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_pos_neg'#@#variant 'h4/thm/extreal/mul_lt_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_of_Qc_bis' 'h4/thm/integer/INT_POS_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_of_Q' 'h4/thm/rat/RAT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_testbit_of_N' 'h4/thm/toto/charOrd_'
0. 'coq/Coq_PArith_BinPos_Pos_succ_lt_mono' 'h4/thm/numeral/numeral_distrib_28'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_lt_mono_r' 'h4/thm/arithmetic/LESS_EQ_MONO_ADD_EQ_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_cancel_r' 'h4/thm/real/REAL_EQ_RADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_nge' 'h4/thm/rat/RAT_LEQ_LES_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_le_mono' 'h4/thm/integerRing/int_rewrites_tRRRRRRLRRRR'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_trichotomy' 'h4/thm/hreal/HRAT_LT_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_add_distr' 'h4/thm/logroot/EXP_MUL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div_pos'#@#variant 'h4/thm/extreal/let_mul_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_l' 'h4/thm/integer/TINT_LT_ADD_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_cancel_r' 'h4/thm/rat/RAT_EQ_RADD_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_simpl_r' 'h4/thm/complex/COMPLEX_SUB_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_le_mono_r' 'h4/thm/integer/INT_LT_RADD_'
0. 'coq/Coq_ZArith_BinInt_Z_add_mod' 'h4/thm/integer/INT_MOD_PLUS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_eq_0' 'h4/thm/integer/INT_ENTIRE_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_eq_0_r' 'h4/thm/extreal/add_not_infty_0'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_succ_le_mono' 'h4/thm/transc/EXP_MONO_LE_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_pos_pos' 'h4/thm/binary_ieee/le2_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lcm_1_l' 'h4/thm/integer/INT_ADD_LID_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_neq_succ_0' 'h4/thm/num/NOT_SUC_'
0. 'coq/Coq_ZArith_Znat_positive_nat_Z' 'h4/thm/extreal/extreal_of_num_def_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_null_iff' 'h4/thm/extreal/neg_eq0_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftl_mul_pow2'#@#variant 'h4/thm/rat/RAT_DIV_MULMINV_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_le_mono' 'h4/thm/hrat/TRAT_INV_WELLDEFINED_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_cancel_l' 'h4/thm/hreal/HRAT_EQ_LADD_'
0. 'coq/Coq_Reals_RIneq_Rle_refl' 'h4/thm/realax/TREAL_EQ_REFL_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_succ_min_distr' 'h4/thm/real/REAL_ABS_TRIANGLE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_nge' 'h4/thm/real/real_lte_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_irrefl' 'h4/thm/integer/INT_LT_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_opp_r' 'h4/thm/extreal/sub_rneg_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_1_mul_pos'#@#variant 'h4/thm/extreal/let_mul_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_lor' 'h4/thm/transc/EXP_SUB_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sub_le_mono_r' 'h4/thm/hrat/TRAT_ADD_WELLDEFINED_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_quot_pos'#@#variant 'h4/thm/arithmetic/ONE_LT_MULT_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_nlt_ge' 'h4/thm/integer/INT_NOT_LE_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_odd' 'h4/thm/rat/rat_nmr_def_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_add_lt_sub_r' 'h4/thm/real/REAL_LT_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_pos_pos' 'h4/thm/binary_ieee/le2_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_max_le_compat_l' 'h4/thm/integer/INT_LT_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_lt_trans' 'h4/thm/arithmetic/LESS_EQ_LESS_TRANS_'
0. 'coq/Coq_Bool_Bool_negb_involutive_reverse' 'h4/thm/integer/INT_REM_CALCULATE_2'
0. 'coq/Coq_ZArith_Zorder_Zmult_le_compat_l'#@#variant 'h4/thm/extreal/le_lmul_imp_'#@#variant
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_pred' 'h4/thm/quote/index_size_def_1'#@#variant
0. 'coq/Coq_Reals_Ranalysis4_sinh_lt' 'h4/thm/divides/LT_PRIMES_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_compare' 'h4/thm/toto/charOrd_'
0. 'coq/Coq_ZArith_Znat_N2Z_is_nonneg'#@#variant 'h4/thm/real/POW_2_LE1_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_inj_wd' 'h4/thm/extreal/eq_neg_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_max_l' 'h4/thm/arithmetic/LESS_EQ_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_le_compat_l' 'h4/thm/integer/TINT_LT_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_lt_mono' 'h4/thm/integerRing/int_rewrites_tLRRRLRRR'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_r' 'h4/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lcm_diag' 'h4/thm/extreal/min_refl_'
0. 'coq/Coq_ZArith_BinInt_Z_add_sub_swap' 'h4/thm/int_arith/move_sub_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_max_r' 'h4/thm/extreal/le_max2_'
0. 'coq/Coq_ZArith_Zpow_alt_Zpower_alt_0_r'#@#variant 'h4/thm/integer/INT_MOD_1_'#@#variant
0. 'coq/Coq_Bool_Bool_negb_false_iff' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_nlt_ge' 'h4/thm/arithmetic/NOT_LESS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_1_mul_pos'#@#variant 'h4/thm/arithmetic/ONE_LT_MULT_IMP_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_succ_inj_wd' 'h4/thm/quote/index_11_0'
0. 'coq/Coq_ZArith_BinInt_Z_lt_sub_lt_add_r' 'h4/thm/real/REAL_LT_SUB_LADD_'
0. 'coq/Coq_FSets_FSetPositive_PositiveSet_eq_refl' 'h4/thm/poly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_cancel_l' 'h4/thm/hreal/HRAT_EQ_LADD_'
0. 'coq/Coq_ZArith_BinInt_Zpos_eq_iff' 'h4/thm/ieee/roundmode2num_11_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_1_mul_pos'#@#variant 'h4/thm/integer/INT_LTE_ADD_'#@#variant
0. 'coq/Coq_ZArith_Znat_Z2N_inj_div2' 'h4/thm/complex/COMPLEX_OF_REAL_NEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_id' 'h4/thm/extreal/min_refl_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_testbit_even_0'#@#variant 'h4/thm/toto/num_dtOrd_3'
0. 'coq/Coq_QArith_QArith_base_Qplus_0_l'#@#variant 'h4/thm/integer/TINT_ADD_LID_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_pred_inj_wd' 'h4/thm/integral/EQ_SUC_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_lt_mono_r' 'h4/thm/arithmetic/LESS_EQ_MONO_ADD_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sub_1_r'#@#variant 'h4/thm/arithmetic/ADD1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_glb' 'h4/thm/divides/DIVIDES_SUB_'
0. 'coq/Coq_Reals_Ratan_atan_opp' 'h4/thm/numeral/numeral_distrib_14'
0. 'coq/Coq_Reals_Rfunctions_Rpow_mult_distr' 'h4/thm/real/REAL_POW_DIV_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_cancel_r' 'h4/thm/arithmetic/EQ_MONO_ADD_EQ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_nonneg' 'h4/thm/transc/ATN_BOUNDS_0'#@#variant
0. 'coq/Coq_Reals_Ratan_ps_atan_opp' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_compare' 'h4/thm/intto/pos_pos_thm_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lor_eq_0_iff' 'h4/thm/arithmetic/MULT_EQ_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_nonneg_pos'#@#variant 'h4/thm/real/REAL_LET_ADD_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_eqb_eq' 'h4/thm/quote/compare_index_equal_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_nonneg' 'h4/thm/divides/ZERO_LT_PRIMES_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_inv_norm' 'h4/thm/transc/SQRT_POS_LE_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_nle_gt' 'h4/thm/integer/INT_NOT_LT_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_le_mono_l' 'h4/thm/integer/LT_LADD_'
0. 'coq/Coq_NArith_Ndist_ni_le_min_2' 'h4/thm/real/REAL_MIN_LE2_'
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_1_l'#@#variant 'h4/thm/integer/INT_DIVIDES_1_0'#@#variant
0. 'coq/Coq_ZArith_Znat_positive_nat_N' 'h4/thm/extreal/extreal_of_num_def_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_0'#@#variant 'h4/thm/transc/PI_POS_'
0. 'coq/Coq_ZArith_BinInt_Z_succ_inj_wd' 'h4/thm/integer/INT_EQ_CALCULATE_1'
0. 'coq/Coq_QArith_Qcanon_Qcopp_involutive' 'h4/thm/extreal/neg_neg_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_lt_mono_r' 'h4/thm/arithmetic/LE_ADD_RCANCEL_'
0. 'coq/Coq_ZArith_BinInt_Z_le_gt_cases' 'h4/thm/integer/INT_LTE_TOTAL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_nle_gt' 'h4/thm/rat/RAT_LES_LEQ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_eq_0' 'h4/thm/extreal/entire_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_le_mono_r' 'h4/thm/arithmetic/LT_ADD_RCANCEL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sub_le_mono_r' 'h4/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_succ_r' 'h4/thm/arithmetic/LE_e1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_1' 'h4/thm/real/REAL_NEG_0_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_id' 'h4/thm/arithmetic/MIN_IDEM_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sub_le_mono_r' 'h4/thm/integer/TINT_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_ge_cases' 'h4/thm/integer/INT_LTE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_le_mono_r' 'h4/thm/arithmetic/LESS_EQ_MONO_ADD_EQ_'
0. 'coq/Coq_PArith_BinPos_Pos_lt_le_trans' 'h4/thm/extreal/lte_trans_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_1' 'h4/thm/integer/INT_ADD_REDUCE_2'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_pred_r' 'h4/thm/complex/COMPLEX_NEG_RDIV_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_antisym' 'h4/thm/arithmetic/LESS_EQUAL_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lcm_1_l' 'h4/thm/integer/INT_SUB_LZERO_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_total' 'h4/thm/rat/RAT_LES_TOTAL_'
0. 'coq/Coq_Arith_Max_le_max_r' 'h4/thm/hreal/HRAT_LT_ADDR_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_succ_l' 'h4/thm/complex/COMPLEX_NEG_LDIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_succ' 'h4/thm/numeral/iDUB_removal_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_negb_even' 'h4/thm/ratRing/rat_ring_thms_e17'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_lub_lt_iff' 'h4/thm/arithmetic/MAX_LT_e1'
0. 'coq/Coq_ZArith_BinInt_Z_lnot_neg'#@#variant 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRL'#@#variant
0. 'coq/Coq_QArith_Qcanon_Q_apart_0_1'#@#variant 'h4/thm/toto/all_cpn_distinct_e3'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_le_incl' 'h4/thm/integer/INT_LT_IMP_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_lt_mono' 'h4/thm/numpair/tri_LT_'
0. 'coq/Coq_ZArith_BinInt_Z_succ_inj_wd' 'h4/thm/integer/INT_EQ_NEG_'
0. 'coq/Coq_NArith_BinNat_N_pred_succ' 'h4/thm/numRing/num_rewrites_tLLRRRR'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_negb_even' 'h4/thm/frac/frac_sgn_def_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_irrefl' 'h4/thm/integer/TINT_LT_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_lcm_l' 'h4/thm/real/REAL_LE_MAX1_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_add_diag_r' 'h4/thm/integer/INT_DIVIDES_MUL_0'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_add_diag_r' 'h4/thm/hreal/HRAT_LT_ADDL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_clearbit_spec_prime'#@#variant 'h4/thm/real/REAL_SUB_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_lub_iff' 'h4/thm/arithmetic/MAX_LE_e1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_le_compat_r' 'h4/thm/arithmetic/LESS_MONO_MULT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_nge' 'h4/thm/HolSmt/r115_'
0. 'coq/__constr_Coq_Arith_Even_even_0_2' 'h4/thm/transc/LN_POS_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_pred_succ' 'h4/thm/numeral/DIV2_BIT1_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_pos_neg'#@#variant 'h4/thm/integer/INT_NEG_GT0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_max_r' 'h4/thm/integer/INT_DIVIDES_MUL_e1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_nle_gt' 'h4/thm/integer/INT_NOT_LT_'
0. 'coq/Coq_Arith_Plus_plus_lt_le_compat' 'h4/thm/integer/INT_LTE_ADD2_'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_eq_not_lt' 'h4/thm/integer/INT_LT_IMP_NE_'
0. 'coq/Coq_QArith_QArith_base_Qmult_lt_compat_r'#@#variant 'h4/thm/arithmetic/DIV_LE_MONOTONE_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_abs_nonneg' 'h4/thm/integral/LT_0_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_1_r' 'h4/thm/arithmetic/DIV2_def_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_nlt_ge' 'h4/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_succ_le_mono' 'h4/thm/numeral/numeral_lt_4'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_le_incl' 'h4/thm/real/REAL_LT_IMP_LE_'
0. 'coq/Coq_NArith_BinNat_N_lt_le_trans' 'h4/thm/arithmetic/LESS_LESS_EQ_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pos_pred_succ' 'h4/thm/binary_ieee/rounding_BIJ_0'
0. 'coq/Coq_NArith_BinNat_N_mod_1_l'#@#variant 'h4/thm/transc/ONE_RPOW_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_div_str_pos' 'h4/thm/bit/DIV_GT0_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_l2i_i2l' 'h4/thm/ASCIInumbers/toString_toNum_cancel_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_reg_r' 'h4/thm/integer/INT_EQ_RMUL_IMP_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_lt_add_diag_r' 'h4/thm/real/REAL_LE_MAX1_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_pos'#@#variant 'h4/thm/transc/LN_POS_'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_xO'#@#variant 'h4/thm/complex/COMPLEX_OF_REAL_INV_'#@#variant
0. 'coq/Coq_Bool_Bool_diff_true_false' 'h4/thm/toto/cpn_distinct_e2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_pred' 'h4/thm/bit/LOG2_TWOEXP_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_neq' 'h4/thm/rat/RAT_LES_IMP_NEQ_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_irrefl' 'h4/thm/rat/RAT_LES_REF_'
0. 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_ge_le_iff' 'h4/thm/HolSmt/r103_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_glb' 'h4/thm/divides/DIVIDES_ADD_1_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lcm_1_l' 'h4/thm/integer/INT_SUB_LZERO_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_le_compat_l' 'h4/thm/real/REAL_LT_IADD_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_neg_iff' 'h4/thm/binary_ieee/rounding_EQ_rounding_'
0. 'coq/Coq_ZArith_BinInt_Z_lnot_land' 'h4/thm/complex/COMPLEX_EXP_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_nonneg'#@#variant 'h4/thm/real/REAL_NEG_GE0_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rmult_le_compat_r'#@#variant 'h4/thm/integral/REAL_LE_RMUL1_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_neg_iff' 'h4/thm/binary_ieee/float_compare2num_11_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_0_l' 'h4/thm/arithmetic/ZERO_DIV_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_add_cancel_r' 'h4/thm/poly/POLY_DIVIDES_SUB_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_double_spec'#@#variant 'h4/thm/real/REAL_INV_1OVER_'#@#variant
0. 'coq/Coq_Reals_AltSeries_PI_tg_pos'#@#variant 'h4/thm/real/REAL_POS_'#@#variant
0. 'coq/Coq_omega_OmegaLemmas_Zred_factor0' 'h4/thm/integer/INT_SUB_RZERO_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_lt_mono_pos_r'#@#variant 'h4/thm/intExtension/INT_GT_RMUL_EXP_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_ge_le_iff' 'h4/thm/integer/INT_GT_CALCULATE_'
0. 'coq/Coq_Reals_Ratan_Alt_PI_eq' 'h4/thm/rat/RAT_0_'#@#variant
0. 'coq/Coq_ZArith_Zpow_facts_Zpower_gt_1'#@#variant 'h4/thm/real/REAL_LTE_ADD_'#@#variant
0. 'coq/Coq_PArith_Pnat_Nat2Pos_inj_pred' 'h4/thm/extreal/extreal_sqrt_def_0'
0. 'coq/Coq_Arith_PeanoNat_Nat_succ_inj_wd' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_min_distr' 'h4/thm/hrat/TRAT_LDISTRIB_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_lt_mono_pos_l'#@#variant 'h4/thm/int_arith/lt_justify_multiplication_'#@#variant
0. 'coq/Coq_Arith_Even_odd_plus_l' 'h4/thm/extreal/let_mul_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_1_l' 'h4/thm/integer/INT_MUL_REDUCE_1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_add_lt_sub_r' 'h4/thm/integer/INT_LT_SUB_RADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mod_1_r' 'h4/thm/arithmetic/MOD_ONE_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_not_add_l' 'h4/thm/realax/HREAL_LT_ADDR_'
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_lcm_l' 'h4/thm/extreal/le_max1_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_lt_mono_l' 'h4/thm/integer/INT_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_nonneg' 'h4/thm/divides/ZERO_LT_PRIMES_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_diag'#@#variant 'h4/thm/HolSmt/r216_'#@#variant
0. 'coq/Coq_Reals_Rpower_ln_exp' 'h4/thm/transc/ATN_TAN_'
0. 'coq/Coq_Reals_RIneq_Ropp_minus_distr' 'h4/thm/real/REAL_NEG_SUB_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pred_sub'#@#variant 'h4/thm/arithmetic/ADD1_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_min_l' 'h4/thm/real/REAL_MIN_LE1_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_ge_cases' 'h4/thm/real/REAL_LTE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_le_mono_r' 'h4/thm/integer/INT_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_square_spec' 'h4/thm/arithmetic/TIMES2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_lt_mono_l' 'h4/thm/hreal/HRAT_LT_LMUL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_le_compat_l' 'h4/thm/integer/INT_LT_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_double_twice'#@#variant 'h4/thm/arithmetic/SUC_ONE_ADD_'#@#variant
0. 'coq/Coq_Bool_Bool_negb_involutive' 'h4/thm/real/REAL_NEGNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_involutive' 'h4/thm/real/ABS_ABS_'
0. 'coq/Coq_NArith_BinNat_N_pred_sub'#@#variant 'h4/thm/arithmetic/ADD1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_opp' 'h4/thm/numeral/numeral_add_6'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_lteq' 'h4/thm/real/REAL_LE_LT_'
0. 'coq/Coq_NArith_BinNat_N_le_ngt' 'h4/thm/real/real_lt_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_le_mono' 'h4/thm/prim_rec/LESS_MONO_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_id' 'h4/thm/ASCIInumbers/toString_toNum_cancel_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_glb_lt_iff' 'h4/thm/integral/REAL_LT_MIN_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_ldiff_ldiff_l' 'h4/thm/frac/FRAC_SUB_ADD_'
0. 'coq/Coq_Reals_Rbasic_fun_abs_IZR' 'h4/thm/extreal/extreal_exp_def_0'
0. 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_gt_lt_iff' 'h4/thm/string/string_gt_def_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lnot_lxor_l' 'h4/thm/complex/COMPLEX_MUL_LNEG_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_double_size_level' 'h4/thm/extreal/extreal_inv_def_e2'
0. 'coq/Coq_ZArith_BinInt_Z_pred_lt_mono' 'h4/thm/numeral/numeral_lte_e6'
0. 'coq/Coq_PArith_BinPos_Pos_gt_lt_iff' 'h4/thm/real/real_gt_'
0. 'coq/Coq_ZArith_Zorder_Zlt_0_le_0_pred'#@#variant 'h4/thm/transc/LN_POS_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_shiftr_shiftr' 'h4/thm/arithmetic/SUB_PLUS_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_le_mono_nonneg_l'#@#variant 'h4/thm/arithmetic/EXP_BASE_LEQ_MONO_IMP_'#@#variant
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_lt_antirefl' 'h4/thm/real/REAL_LT_REFL_'
0. 'coq/Coq_QArith_Qminmax_Q_min_glb_lt_iff' 'h4/thm/integral/REAL_LT_MIN_'
0. 'coq/Coq_ZArith_BinInt_Z_Even_succ' 'h4/thm/binary_ieee/exp_ge2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_compare_xO_xO' 'h4/thm/quote/index_compare_def_7'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_factor_r' 'h4/thm/extreal/le_max2_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lcm_divide_iff' 'h4/thm/util_prob/MAX_LE_X_'
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_nonneg_r'#@#variant 'h4/thm/integral/REAL_LE_RMUL1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_neq_succ_0' 'h4/thm/arithmetic/SUC_NOT_'
0. 'coq/Coq_ZArith_Znat_Z2Nat_inj_pos' 'h4/thm/realax/hreal_of_real_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_trichotomy' 'h4/thm/extreal/lt_total_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_nle' 'h4/thm/extreal/extreal_lt_def_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_nge' 'h4/thm/rat/RAT_LES_LEQ_'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_one_neq_zero' 'h4/thm/rat/RAT_1_NOT_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_glb_iff' 'h4/thm/arithmetic/MIN_LT_e1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_le_pred' 'h4/thm/float/LT_SUC_LE_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_nlt' 'h4/thm/real/real_lt_'
0. 'coq/Coq_ZArith_BinInt_Z_lcm_1_l' 'h4/thm/HolSmt/r221_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_lub_lt_iff' 'h4/thm/extreal/max_le_'
0. 'coq/Coq_NArith_BinNat_N_divide_refl' 'h4/thm/hrat/TRAT_EQ_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_refl' 'h4/thm/rat/RAT_EQUIV_REF_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_lt_mono_r' 'h4/thm/integer/INT_LE_RADD_'
0. 'coq/Coq_NArith_BinNat_N_max_lub' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_e2'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_le_trans' 'h4/thm/real/REAL_LTE_TRANS_'
0. 'coq/Coq_PArith_Pnat_SuccNat2Pos_inj_iff' 'h4/thm/ASCIInumbers/toString_11_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zle_0_nat'#@#variant 'h4/thm/integer/INT_POS_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rmin_glb_lt' 'h4/thm/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_ZArith_Zquot_Zquot_opp_l' 'h4/thm/complex/COMPLEX_MUL_LNEG_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_testbit' 'h4/thm/toto/qk_numOrd_def_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_r' 'h4/thm/extreal/le_radd_imp_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_0_l'#@#variant 'h4/thm/arithmetic/ONE_MOD_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pow_lt_mono_r_iff'#@#variant 'h4/thm/int_arith/justify_divides_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_lxor_r' 'h4/thm/real/REAL_MUL_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_refl' 'h4/thm/rat/RAT_LEQ_REF_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_0_mul_prime' 'h4/thm/arithmetic/ZERO_LESS_MULT_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_cancel_r' 'h4/thm/rat/RAT_EQ_RADD_'
0. 'coq/Coq_ZArith_BinInt_Z_succ_le_mono' 'h4/thm/numpair/tri_LE_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_incr_twice_plus_one' 'h4/thm/sptree/lrnext_thm_3'#@#variant
0. 'coq/Coq_NArith_BinNat_N_le_succ_l' 'h4/thm/arithmetic/LESS_EQ_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_lt_lin'#@#variant 'h4/thm/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_pos_l'#@#variant 'h4/thm/int_arith/justify_divides_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_refl' 'h4/thm/divides/DIVIDES_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_refl' 'h4/thm/integer/INT_LE_REFL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_irrefl' 'h4/thm/real/REAL_LT_REFL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_1_r' 'h4/thm/integer/INT_MUL_REDUCE_0'
0. 'coq/Coq_ZArith_Znat_Z2N_inj_lt'#@#variant 'h4/thm/float/FLOAT_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_pos_l'#@#variant 'h4/thm/arithmetic/EXP_BASE_LT_MONO_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_lt_mono_pos_r'#@#variant 'h4/thm/logroot/EXP_LT_ISO_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_is_nonneg'#@#variant 'h4/thm/extreal/lt_infty_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_succ_lt_mono' 'h4/thm/numeral/numeral_lte_3'
0. 'coq/Coq_Reals_R_sqr_Rsqr_neg' 'h4/thm/integer/INT_ABS_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_0_l' 'h4/thm/HolSmt/r128_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pos_pred_succ' 'h4/thm/realax/TREAL_BIJ_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_pred_r' 'h4/thm/complex/COMPLEX_NEG_RMUL_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qlt_le_weak' 'h4/thm/real/REAL_LT_IMP_LE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_lt_mono_neg_l' 'h4/thm/rat/RAT_LES_LMUL_NEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_neq' 'h4/thm/extreal/lt_imp_ne_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_nonneg' 'h4/thm/divides/ZERO_LT_PRIMES_'
0. 'coq/Coq_ZArith_BinInt_Z_add_simpl_r' 'h4/thm/arithmetic/ADD_SUB_'
0. 'coq/Coq_Reals_Rtrigo_calc_Rgt_3PI2_0'#@#variant 'h4/thm/real/REAL_THIRDS_BETWEEN_3'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_rem_opp_l_prime' 'h4/thm/complex/COMPLEX_MUL_LNEG_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qinv_le_0_compat'#@#variant 'h4/thm/transc/SQRT_POS_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_neg'#@#variant 'h4/thm/integer/INT_NEG_LE0_'#@#variant
0. 'coq/Coq_Reals_Exp_prop_div2_not_R0'#@#variant 'h4/thm/transc/LN_POS_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_lt_mono_r_iff'#@#variant 'h4/thm/logroot/LE_EXP_ISO_'#@#variant
0. 'coq/Coq_ZArith_Znat_Zabs2Nat_id' 'h4/thm/ieee/roundmode_BIJ_0'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_pred'#@#variant 'h4/thm/integer/int_of_num_e1'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_max_r' 'h4/thm/hreal/HRAT_LT_ADDR_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_nle_gt' 'h4/thm/rat/RAT_LEQ_LES_'
0. 'coq/Coq_PArith_BinPos_Pos_le_max_r' 'h4/thm/hreal/HRAT_LT_ADDR_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_ge_le_iff' 'h4/thm/real/real_gt_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_neq' 'h4/thm/hreal/HRAT_LT_NE_'
0. 'coq/Coq_NArith_BinNat_N_lnot_0_l' 'h4/thm/util_prob/lg_def_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_1' 'h4/thm/real/REAL_ABS_0_'
0. 'coq/Coq_NArith_BinNat_N_lt_nge' 'h4/thm/extreal/extreal_lt_def_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_odd_sub' 'h4/thm/integer/INT_SUB_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_lt_mono_pos_l'#@#variant 'h4/thm/integer/INT_LE_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_lt_mono_r'#@#variant 'h4/thm/integral/REAL_LE_LMUL1_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_max_r' 'h4/thm/extreal/le_max2_'
0. 'coq/Coq_NArith_BinNat_N_ldiff_diag' 'h4/thm/arithmetic/SUB_EQUAL_0_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_sub' 'h4/thm/float/REAL_OF_NUM_SUB_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div2_div'#@#variant 'h4/thm/arithmetic/ADD1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_neq_0_succ' 'h4/thm/toto/num_dt_distinct_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_add_lt_sub_r' 'h4/thm/integer/INT_LT_SUB_LADD_'
0. 'coq/Coq_PArith_BinPos_Pos_add_le_mono_r' 'h4/thm/arithmetic/LESS_EQ_MONO_ADD_EQ_'
0. 'coq/Coq_ZArith_Zgcd_alt_fibonacci_pos'#@#variant 'h4/thm/binary_ieee/zero_le_twopow_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_le_mono_l' 'h4/thm/integer/INT_LT_LADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_min_le_compat_r' 'h4/thm/hrat/TRAT_ADD_WELLDEFINED_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_max_l' 'h4/thm/hreal/HRAT_LT_ADDL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_le_compat_r' 'h4/thm/arithmetic/LESS_MONO_MULT_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_total' 'h4/thm/hreal/HREAL_LT_TOTAL_'
0. 'coq/Coq_Structures_OrderedTypeEx_PositiveOrderedTypeBits_bits_lt_antirefl' 'h4/thm/integer/TINT_LT_REFL_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_inj_wd' 'h4/thm/toto/num_dt_11_e1'
0. 'coq/Coq_QArith_Qminmax_Q_le_max_l' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_0'
0. 'coq/Coq_PArith_BinPos_Pos_lt_1_succ' 'h4/thm/arithmetic/FACT_LESS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_lt_mono_pos_r'#@#variant 'h4/thm/intExtension/INT_LT_RMUL_EXP_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ldiff_land' 'h4/thm/real/real_sub_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_eq_0_gt_0_cases'#@#variant 'h4/thm/arithmetic/LESS_0_CASES_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_ge_cases' 'h4/thm/real/REAL_LTE_TOTAL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_le_mono_l' 'h4/thm/integer/INT_LE_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_l' 'h4/thm/real/REAL_MAX_ALT_e1'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_divide' 'h4/thm/float/REAL_OF_NUM_LT_'
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_nonneg' 'h4/thm/integral/LT_0_'
0. 'coq/Coq_ZArith_Zgcd_alt_fibonacci_pos'#@#variant 'h4/thm/extreal/le_num_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_lt_mono_r_iff'#@#variant 'h4/thm/rat/RAT_LES_LMUL_POS_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_min_le_compat_l' 'h4/thm/integer/TINT_LT_ADD_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_add_r' 'h4/thm/hreal/HRAT_LT_ADDL_'
0. 'coq/Coq_ZArith_Zdiv_Zdiv_1_r' 'h4/thm/HolSmt/r080_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_1' 'h4/thm/integerRing/int_calculate_e13'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_eq_add_0' 'h4/thm/arithmetic/MULT_EQ_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_1_l'#@#variant 'h4/thm/util_prob/lg_def_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_eq_cases' 'h4/thm/integral/LE_LT_'
0. 'coq/Coq_Reals_RIneq_Rplus_ge_compat_l' 'h4/thm/realax/TREAL_LT_ADD_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_refl' 'h4/thm/integer/INT_LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_pos'#@#variant 'h4/thm/numeral/numeral_distrib_33'
0. 'coq/Coq_QArith_QArith_base_Qmult_le_r'#@#variant 'h4/thm/real/REAL_LT_RDIV_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_divide_xO_xO' 'h4/thm/integerRing/int_rewrites_tLRRRLRRRR'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_iff' 'h4/thm/rat/RAT_EQ_NUM_CALCULATE_0'
0. 'coq/Coq_Reals_Rfunctions_pow_lt'#@#variant 'h4/thm/real/POW_POS_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_lt_mono_pos_l'#@#variant 'h4/thm/arithmetic/EXP_BASE_LT_MONO_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Zle_Qle' 'h4/thm/realax/real_lt_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_square' 'h4/thm/extreal/extreal_ainv_def_e2'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_min_l' 'h4/thm/arithmetic/SUB_LESS_EQ_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_lt_add_r' 'h4/thm/arithmetic/LESS_IMP_LESS_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_sub' 'h4/thm/complex/COMPLEX_SUB_ADD_'#@#variant
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_iff' 'h4/thm/binary_ieee/rounding_EQ_rounding_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_le_mono' 'h4/thm/hrat/TRAT_INV_WELLDEFINED_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ge_le_iff' 'h4/thm/integer/INT_GT_CALCULATE_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_2' 'h4/thm/util_prob/HALF_LT_1_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_log2' 'h4/thm/extreal/extreal_ainv_def_e2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_add' 'h4/thm/integer/INT_SUB_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_eq_le_incl' 'h4/thm/realax/TREAL_EQ_AP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_inj_wd' 'h4/thm/extreal/eq_neg_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_sub_assoc' 'h4/thm/arithmetic/LESS_EQ_ADD_SUB_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_lt_mono' 'h4/thm/integerRing/int_rewrites_tRRRRRRLRRRR'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_1' 'h4/thm/util_prob/HALF_LT_1_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_PI_neq0' 'h4/thm/extreal/ne_02_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_lt_mono_l' 'h4/thm/hreal/HRAT_LT_LMUL_'
0. 'coq/Coq_NArith_BinNat_N_lcm_least' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_e2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_1_r' 'h4/thm/extreal/sub_rzero_'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_E_bits_lt_antirefl' 'h4/thm/realax/REAL_LT_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_le_iff' 'h4/thm/arithmetic/MIN_LE_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_nge' 'h4/thm/real/real_lte_'
0. 'coq/Coq_NArith_BinNat_N_lcm_1_l' 'h4/thm/real/REAL_ADD_LID_'
0. 'coq/Coq_ZArith_Zdiv_Zdiv2_div'#@#variant 'h4/thm/arithmetic/DIV2_def_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qinv_lt_0_compat'#@#variant 'h4/thm/extreal/sqrt_pos_lt_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_neq_0_succ' 'h4/thm/quote/index_distinct_1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_inj_wd' 'h4/thm/real/REAL_INV_INJ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_trichotomy' 'h4/thm/hreal/HRAT_LT_TOTAL_'
0. 'coq/Coq_QArith_QArith_base_Qplus_inj_l' 'h4/thm/real/REAL_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_move_0_r' 'h4/thm/rat/RAT_EQ_0SUB_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lnot_lxor_r' 'h4/thm/complex/COMPLEX_MUL_RNEG_'#@#variant
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_double' 'h4/thm/extreal/extreal_exp_def_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_quot_pos'#@#variant 'h4/thm/extreal/let_mul_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_divide_refl' 'h4/thm/real/REAL_LE_REFL_'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_pred' 'h4/thm/DeepSyntax/deep_form_size_def_2'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_eq_cases' 'h4/thm/real/REAL_LE_LT_'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_lt_total' 'h4/thm/integer/INT_LT_TOTAL_'
0. 'coq/Coq_ZArith_Zpow_facts_Zpower_divide'#@#variant 'h4/thm/arithmetic/X_LE_X_EXP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_nle_gt' 'h4/thm/arithmetic/NOT_LESS_EQUAL_'
0. 'coq/Coq_ZArith_Zorder_Zgt_irrefl' 'h4/thm/real/REAL_LT_REFL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_ngt' 'h4/thm/arithmetic/NOT_LESS_EQUAL_'
0. 'coq/Coq_NArith_BinNat_N_mul_neg_neg'#@#variant 'h4/thm/extreal/lt_mul_neg_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_le_iff' 'h4/thm/arithmetic/MIN_LT_0'
0. 'coq/Coq_Bool_Bool_diff_false_true' 'h4/thm/ieee/roundmode_distinct_3'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_pred_l' 'h4/thm/extreal/mul_lneg_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_sub_le_add_r' 'h4/thm/integer/INT_LT_SUB_LADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_even' 'h4/thm/ieee/Sign_'#@#variant
0. 'coq/Coq_Arith_Lt_lt_0_neq'#@#variant 'h4/thm/integer/INT_POS_NZ_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_1_l' 'h4/thm/numeral/texp_help_def_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_refl' 'h4/thm/real/REAL_LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_reg_r' 'h4/thm/real/REAL_EQ_RMUL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pred_le_mono' 'h4/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_nge' 'h4/thm/rat/RAT_LES_LEQ_'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_IsTO_le_lteq' 'h4/thm/real/REAL_LE_LT_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_lt_mono_pos_r'#@#variant 'h4/thm/logroot/EXP_LE_ISO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_divide_iff' 'h4/thm/extreal/le_min_'
0. 'coq/Coq_ZArith_Zlogarithm_log_near_correct1' 'h4/thm/extreal/lt_infty_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_asymm' 'h4/thm/rat/RAT_LES_ANTISYM_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_iff' 'h4/thm/toto/cpn_EQ_cpn_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_pos_r' 'h4/thm/logroot/EXP_LE_ISO_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_1' 'h4/thm/integerRing/int_calculate_e13'
0. 'coq/Coq_ZArith_BinInt_Z_abs_lt' 'h4/thm/integer/INT_ABS_LE_0'
0. 'coq/Coq_NArith_BinNat_N_div2_succ_double' 'h4/thm/string/EXPLODE_IMPLODE_'#@#variant
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_l2i_i2l'#@#variant 'h4/thm/integer/NUM_OF_INT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_le_iff' 'h4/thm/arithmetic/MAX_LT_0'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_cancel_l' 'h4/thm/integer/INT_EQ_LADD_'
0. 'coq/Coq_Reals_RIneq_Ropp_minus_distr' 'h4/thm/frac/FRAC_AINV_SUB_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_testbit' 'h4/thm/toto/charOrd_'
0. 'coq/Coq_Reals_RIneq_pos_INR'#@#variant 'h4/thm/float/twogz_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_nonneg_nonneg' 'h4/thm/integer/INT_LT_MUL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_rem_1_r'#@#variant 'h4/thm/util_prob/logr_1_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_clearbit_spec_prime'#@#variant 'h4/thm/real/REAL_SUB_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_lt_mono_r' 'h4/thm/rat/RAT_LES_RADD_'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_one_neq_zero' 'h4/thm/extreal/extreal_distinct_0'
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_nonneg'#@#variant 'h4/thm/integer/INT_LT_MUL2_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rgt_irrefl' 'h4/thm/integer/TINT_LT_REFL_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_clearbit_spec_prime'#@#variant 'h4/thm/complex/COMPLEX_SUB_RNEG_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_Nbasic_base_xO'#@#variant 'h4/thm/hrat/HRAT_SUCINT_e1'
0. 'coq/Coq_Bool_Bool_negb_involutive_reverse' 'h4/thm/integer/INT_NEGNEG_'
0. 'coq/Coq_NArith_BinNat_N_max_le_compat_r' 'h4/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_nlt_ge' 'h4/thm/integer/int_le_'
0. 'coq/Coq_Arith_PeanoNat_Nat_neq_0_succ' 'h4/thm/intto/BIT1_nz_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_irrefl' 'h4/thm/real/REAL_LT_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_r' 'h4/thm/arithmetic/LESS_MONO_MULT_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_lt_trans' 'h4/thm/arithmetic/LESS_EQ_LESS_TRANS_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_iff' 'h4/thm/prelim/ordering_EQ_ordering_'
0. 'coq/Coq_PArith_BinPos_Pos_min_id' 'h4/thm/extreal/min_refl_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_le_compat_r' 'h4/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_ZArith_Zpower_two_power_nat_S'#@#variant 'h4/thm/toto/num_dt_size_def_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_le_compat_r' 'h4/thm/integer/TINT_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_trichotomy' 'h4/thm/hreal/HREAL_LT_TOTAL_'
0. 'coq/Coq_Reals_RIneq_Rgt_not_eq' 'h4/thm/rat/RAT_LES_IMP_NEQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ge_le_iff' 'h4/thm/HolSmt/r103_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div2_double' 'h4/thm/numeral/numeral_add_0'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_0_r' 'h4/thm/divides/ALL_DIVIDES_0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_pos_cancel_r'#@#variant 'h4/thm/real/REAL_LT_RMUL_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_lt_mono' 'h4/thm/numpair/tri_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_1_r' 'h4/thm/HolSmt/r214_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_0_l' 'h4/thm/integer/INT_DIV_0_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_gcd_divide_l' 'h4/thm/arithmetic/SUB_LESS_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mod_0_l' 'h4/thm/integer/INT_MOD0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_divide_mono_l' 'h4/thm/realax/TREAL_LT_ADD_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_id' 'h4/thm/extreal/real_normal_'
0. 'coq/Coq_Arith_Mult_mult_lt_compat_r'#@#variant 'h4/thm/arithmetic/DIV_LE_MONOTONE_'#@#variant
0. 'coq/Coq_ZArith_Zsqrt_compat_Zsqrt_equiv' 'h4/thm/real/REAL_INV_1OVER_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_divide_mono_r' 'h4/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_pos_pred' 'h4/thm/util_prob/lg_pow_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_opp_r' 'h4/thm/complex/COMPLEX_NEG_RDIV_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_pred_l' 'h4/thm/integer/INT_MUL_CALCULATE_1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_1_l' 'h4/thm/real/REAL_DIV_LZERO_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_succ_lt_mono' 'h4/thm/numpair/tri_LE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_move_r' 'h4/thm/real/REAL_EQ_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_nonpos_nonpos' 'h4/thm/rat/RAT_LES0_LES0_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pos_pred_succ' 'h4/thm/string_num/s2n_n2s_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_succ_r' 'h4/thm/arithmetic/ADD_SUC_'
0. 'coq/Coq_ZArith_BinInt_Z_pred_inj_wd' 'h4/thm/extreal/eq_neg_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_quot_0_l' 'h4/thm/integer/INT_DIV_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_compare_succ' 'h4/thm/toto/num_dtOrd_e8'
0. 'coq/Coq_ZArith_Znat_Zabs2Nat_id' 'h4/thm/binary_ieee/float_compare_BIJ_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_negb_odd' 'h4/thm/ratRing/rat_ring_thms_e17'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_sgn' 'h4/thm/numpair/npair_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_ngt' 'h4/thm/HolSmt/r096_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_sub_assoc' 'h4/thm/arithmetic/LESS_EQ_ADD_SUB_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_id' 'h4/thm/real/REAL_MIN_REFL_'
0. 'coq/Coq_QArith_Qcanon_Qcle_not_lt' 'h4/thm/arithmetic/LESS_EQ_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ldiff_land' 'h4/thm/extreal/extreal_sub_add_'
0. 'coq/Coq_PArith_Pnat_Nat2Pos_inj_pred' 'h4/thm/toto/num_dt_size_def_e2'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_pred' 'h4/thm/bit/LOG2_TWOEXP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ldiff_diag' 'h4/thm/arithmetic/SUB_EQUAL_0_'
0. 'coq/Coq_QArith_Qround_Qfloor_Z' 'h4/thm/ieee/num2ccode_ccode2num_'
0. 'coq/Coq_Arith_PeanoNat_Nat_max_lub_lt_iff' 'h4/thm/arithmetic/MAX_LT_e1'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_add_r' 'h4/thm/arithmetic/EXP_ADD_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_add_lt_sub_r' 'h4/thm/real/REAL_LE_SUB_LADD_'
0. 'coq/Coq_ZArith_BinInt_Z_ldiff_m1_l'#@#variant 'h4/thm/extreal/sub_lzero_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftl_mul_pow2'#@#variant 'h4/thm/HolSmt/r224_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_le_mono' 'h4/thm/transc/EXP_MONO_LT_'
0. 'coq/Coq_Reals_Rtrigo1_PI_neq0' 'h4/thm/binary_ieee/rounding_distinct_4'
0. 'coq/Coq_QArith_Qcanon_Q_apart_0_1'#@#variant 'h4/thm/binary_ieee/float_compare_distinct_2'
0. 'coq/Coq_QArith_QOrderedType_QOrder_le_refl' 'h4/thm/rat/RAT_LEQ_REF_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_irrefl' 'h4/thm/realax/TREAL_LT_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_move_r' 'h4/thm/complex/COMPLEX_EQ_SUB_LADD_'#@#variant
0. 'coq/Coq_ZArith_Zpower_Zpower_pos_is_exp' 'h4/thm/real/REAL_POW_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_1_l' 'h4/thm/real/REAL_MUL_LZERO_'
0. 'coq/Coq_NArith_BinNat_N_eq_add_0' 'h4/thm/arithmetic/ADD_EQ_0_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_nle' 'h4/thm/HolSmt/r115_'
0. 'coq/Coq_NArith_Ndigits_Nless_def_4' 'h4/thm/toto/num_dtOrd_6'
0. 'coq/__constr_Coq_Lists_List_NoDup_0_1' 'h4/thm/list/NULL_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_land' 'h4/thm/complex/COMPLEX_EXP_ADD_'#@#variant
0. 'coq/Coq_QArith_Qminmax_Q_max_lub' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_e2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_even_opp' 'h4/thm/complex/MODU_CONJ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_total' 'h4/thm/arithmetic/LESS_LESS_CASES_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_le_lin'#@#variant 'h4/thm/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lt_add_lt_sub_r' 'h4/thm/integer/INT_LE_SUB_LADD_'
0. 'coq/Coq_fourier_Fourier_util_Rlt_zero_pos_plus1'#@#variant 'h4/thm/transc/SQRT_POS_LE_'#@#variant
0. 'coq/Coq_NArith_Ndigits_Nless_def_3' 'h4/thm/toto/num_dtOrd_6'
0. 'coq/Coq_QArith_Qcanon_Qcnot_le_lt' 'h4/thm/integer/INT_LET_TOTAL_'
0. 'coq/Coq_ZArith_BinInt_Z_nle_gt' 'h4/thm/HolSmt/r115_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_le_mono_r' 'h4/thm/integer/INT_LT_RADD_'
0. 'coq/Coq_Reals_RIneq_Rmult_integral_contrapositive_currified' 'h4/thm/intExtension/INT_NOT0_MUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_pos_nonneg'#@#variant 'h4/thm/real/REAL_LTE_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_inj_wd' 'h4/thm/transc/EXP_INJ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_square_spec' 'h4/thm/numeral/iDUB_'
0. 'coq/Coq_Numbers_Cyclic_DoubleCyclic_DoubleBase_wwB_wBwB'#@#variant 'h4/thm/real/real_of_num_e1'
0. 'coq/Coq_ZArith_BinInt_Z_abs_le' 'h4/thm/integer/INT_ABS_LE_0'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_pos' 'h4/thm/rat/rat_dnm_def_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_le_mono_r_iff'#@#variant 'h4/thm/arithmetic/EXP_BASE_LE_MONO_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_le_mono' 'h4/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gt_lt_iff' 'h4/thm/string/string_gt_def_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_le_compat_r' 'h4/thm/arithmetic/LESS_MONO_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_pos_nonneg'#@#variant 'h4/thm/integer/INT_LTE_ADD_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lcm_eq_0' 'h4/thm/rat/RAT_NO_ZERODIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_asymm' 'h4/thm/extreal/lt_antisym_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_mod' 'h4/thm/integer/INT_MOD_SUB_'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_minus_one_neq_zero'#@#variant 'h4/thm/toto/all_cpn_distinct_tLRL'
0. 'coq/Coq_Reals_R_sqr_Rsqr_abs' 'h4/thm/numRing/num_rewrites_tLRRRRRRLRRRR'#@#variant
0. 'coq/__constr_Coq_Relations_Relation_Operators_Desc_0_1' 'h4/thm/sorting/SORTED_NIL_'
0. 'coq/Coq_NArith_BinNat_N_add_lt_mono_r' 'h4/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_id' 'h4/thm/real/REAL_MIN_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_double_mul' 'h4/thm/arithmetic/ADD_CLAUSES_2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_1' 'h4/thm/transc/TAN_0_'
0. 'coq/Coq_Arith_PeanoNat_Nat_succ_inj_wd' 'h4/thm/integral/EQ_SUC_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_nonneg' 'h4/thm/integral/LT_0_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_pos_cancel_l'#@#variant 'h4/thm/real/REAL_LT_LMUL_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_lt_trans' 'h4/thm/integer/INT_LET_TRANS_'
0. 'coq/Coq_ZArith_BinInt_Z_le_max_r' 'h4/thm/extreal/le_max2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_null_iff' 'h4/thm/integer/INT_MOD_CALCULATE_e4'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_le_lin'#@#variant 'h4/thm/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_nle_gt' 'h4/thm/HolSmt/r096_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_refl' 'h4/thm/real/REAL_LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_double_spec'#@#variant 'h4/thm/real/REAL_INV_1OVER_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_sub_r' 'h4/thm/divides/DIVIDES_ADD_1_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_log2_2' 'h4/thm/real/REAL_HALF_BETWEEN_tRL'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_le_compat_l' 'h4/thm/integer/TINT_LT_ADD_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lxor_nilpotent' 'h4/thm/arithmetic/ABS_DIFF_EQS_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_pos_l'#@#variant 'h4/thm/real/REAL_LT_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_succ_lt_mono' 'h4/thm/transc/EXP_MONO_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_pred' 'h4/thm/numeral/numeral_add_0'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_min_le_compat_r' 'h4/thm/arithmetic/LESS_MONO_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pos_pred_succ' 'h4/thm/real/NUM_FLOOR_EQNS_0'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_log2_1' 'h4/thm/real/REAL_HALF_BETWEEN_tRL'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_minus_one_neq_zero'#@#variant 'h4/thm/toto/all_cpn_distinct_tRRL'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_add_r' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_0'
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_no_R0' 'h4/thm/intExtension/INT_NOT0_SGNNOT0_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_simpl_l' 'h4/thm/complex/COMPLEX_ADD_SUB_'#@#variant
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_iff' 'h4/thm/patricia_casts/string_to_num_11_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_le_compat_r' 'h4/thm/extreal/le_radd_imp_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ge_le_iff' 'h4/thm/string/string_gt_def_'#@#variant
0. 'coq/Coq_ZArith_Znat_Zabs2N_inj_neg' 'h4/thm/ieee/Fraction_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_1_r' 'h4/thm/HolSmt/r223_'
0. 'coq/Coq_Reals_Ratan_Datan_seq_pos'#@#variant 'h4/thm/integral/REAL_POW_LE_1_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_nonneg_nonneg' 'h4/thm/integer/INT_LT_MUL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_inj_wd' 'h4/thm/numRing/num_rewrites_tLRRRRRRLR'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_le_incl' 'h4/thm/integer/INT_LT_IMP_LE_'
0. 'coq/Coq_PArith_BinPos_Pos_max_lub_iff' 'h4/thm/arithmetic/MAX_LT_e1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_lt_le_mono' 'h4/thm/real/REAL_LTE_ADD2_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_lcm_r' 'h4/thm/extreal/le_max2_'
0. 'coq/Coq_NArith_BinNat_N_Odd_succ' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRL'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lor_diag' 'h4/thm/arithmetic/MAX_IDEM_'
0. 'coq/Coq_PArith_BinPos_Pos_lt_total' 'h4/thm/string/string_lt_cases_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_le_incl' 'h4/thm/real/REAL_LT_IMP_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div_1_r' 'h4/thm/extreal/sub_rzero_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_eq_le_incl' 'h4/thm/integer/INT_EQ_IMP_LE_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_sub_add' 'h4/thm/hreal/HREAL_SUB_ADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_1_l' 'h4/thm/integral/LE_0_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_le_mono_r' 'h4/thm/integer/INT_LE_RADD_'
0. 'coq/Coq_Reals_Raxioms_R1_neq_R0' 'h4/thm/ieee/ccode_distinct_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_lt_mono_l' 'h4/thm/hreal/HRAT_LT_LMUL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_2' 'h4/thm/real/REAL_THIRDS_BETWEEN_tRRRL'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_glb_iff' 'h4/thm/arithmetic/MIN_LE_e1'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_glb_iff' 'h4/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_0_l' 'h4/thm/HolSmt/r129_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_rem_opp_l_prime' 'h4/thm/rat/RAT_AINV_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sub_succ' 'h4/thm/real/REAL_NEG_MUL2_'
0. 'coq/Coq_PArith_BinPos_Pos_lt_irrefl' 'h4/thm/extreal/lt_refl_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lcm_1_l'#@#variant 'h4/thm/rat/RAT_SUB_LID_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_of_Qc' 'h4/thm/ASCIInumbers/toString_toNum_cancel_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_le_trans' 'h4/thm/real/REAL_LTE_TRANS_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_1' 'h4/thm/real/REAL_THIRDS_BETWEEN_tRRRL'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_odd_1' 'h4/thm/ieee/Plus_infinity_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_1' 'h4/thm/integerRing/int_rewrites_tRRRRRRRRRRRRRL'
0. 'coq/Coq_ZArith_BinInt_Z_mul_le_mono_pos_l'#@#variant 'h4/thm/transc/RPOW_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lxor_lnot_lnot' 'h4/thm/arithmetic/SUB_MONO_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lcm_diag' 'h4/thm/arithmetic/MAX_IDEM_'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_IsTO_lt_total' 'h4/thm/hreal/HRAT_LT_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_le_mono_r_iff'#@#variant 'h4/thm/arithmetic/EXP_BASE_LT_MONO_'#@#variant
0. 'coq/Coq_ZArith_Zdiv_mod_Zmod' 'h4/thm/integer/INT_MOD_'
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_l' 'h4/thm/integer/INT_LT_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_pos_r'#@#variant 'h4/thm/real/REAL_LE_RMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_0_l'#@#variant 'h4/thm/integral/LE_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_nonneg' 'h4/thm/prim_rec/LESS_0_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_lt_mono_l' 'h4/thm/integer/INT_LT_LADD_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_shuffle3' 'h4/thm/HolSmt/r086_'
0. 'coq/Coq_Strings_Ascii_ascii_nat_embedding' 'h4/thm/rat/RAT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_succ_r' 'h4/thm/complex/COMPLEX_NEG_RDIV_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_1' 'h4/thm/integerRing/int_calculate_e13'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_opp_diag_l' 'h4/thm/real/REAL_ADD_LINV_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_lt_mono_r' 'h4/thm/hreal/HRAT_LT_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_lxor_r' 'h4/thm/real/REAL_MUL_RNEG_'
0. 'coq/Coq_Arith_PeanoNat_Nat_nle_succ_0' 'h4/thm/integer/INT_ABS_LT0_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_cancel_r' 'h4/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_lteq' 'h4/thm/integral/LE_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_lor' 'h4/thm/complex/COMPLEX_EXP_ADD_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_nle' 'h4/thm/integer/INT_NOT_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_ge_cases' 'h4/thm/integer/INT_LET_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_neq_0_succ' 'h4/thm/quote/index_distinct_e2'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_iff' 'h4/thm/string_num/n2s_11_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_lcm_r' 'h4/thm/real/REAL_LE_MAX2_'
0. 'coq/Coq_Reals_Exp_prop_exp_pos_pos'#@#variant 'h4/thm/transc/SQRT_POS_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_pred_r' 'h4/thm/arithmetic/ADD_SUC_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_pred_of_succ_nat' 'h4/thm/integerRing/int_ring_thms_e17'#@#variant
0. 'coq/Coq_Reals_Rpower_Rpower_O'#@#variant 'h4/thm/logroot/LOG_1_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_lt_le_incl' 'h4/thm/real/REAL_LT_IMP_LE_'
0. 'coq/Coq_NArith_BinNat_N_gt_lt_iff' 'h4/thm/rat/rat_geq_def_'
0. 'coq/Coq_PArith_BinPos_Pos_min_lt_iff' 'h4/thm/real/REAL_MIN_LE_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_succ' 'h4/thm/toto/num_dt_size_def_e2'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_opp_involutive' 'h4/thm/integerRing/int_rewrites_tLRRRRRRRRRRRRL'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_leb' 'h4/thm/toto/charOrd_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_comm' 'h4/thm/hrat/TRAT_ADD_SYM_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_nlt_ge' 'h4/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_lt_mono_r' 'h4/thm/real/REAL_LE_SUB_CANCEL2_'
0. 'coq/Coq_Reals_RIneq_cond_nonzero' 'h4/thm/extreal/extreal_not_infty_0'
0. 'coq/Coq_ZArith_Znat_Z_N_nat' 'h4/thm/rat/rat_dnm_def_'
0. 'coq/Coq_fourier_Fourier_util_Rle_zero_pos_plus1'#@#variant 'h4/thm/extreal/le_inv_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_land_diag' 'h4/thm/arithmetic/MIN_IDEM_'
0. 'coq/Coq_Reals_RIneq_Rlt_or_le' 'h4/thm/arithmetic/LESS_CASES_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_null'#@#variant 'h4/thm/intExtension/INT_SGN_CLAUSES_0'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_nge' 'h4/thm/extreal/extreal_lt_def_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_add_simpl_r_r' 'h4/thm/arithmetic/ABS_DIFF_ADD_SAME_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_ge_le_iff' 'h4/thm/integer/int_ge_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_divide_r' 'h4/thm/extreal/min_le2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_nle_gt' 'h4/thm/rat/RAT_LEQ_LES_'
0. 'coq/Coq_Arith_PeanoNat_Nat_succ_lt_mono' 'h4/thm/numeral/numeral_distrib_28'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_lt_mono' 'h4/thm/numeral/numeral_distrib_22'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_1' 'h4/thm/real/REAL_ABS_0_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_gt_lt_iff' 'h4/thm/arithmetic/GREATER_DEF_'
0. 'coq/Coq_MMaps_MMapPositive_PositiveMap_lt_rev_append' 'h4/thm/realax/REAL_LT_IADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_add_le' 'h4/thm/real/REAL_ABS_TRIANGLE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_l' 'h4/thm/real/REAL_LT_IADD_'
0. 'coq/Coq_Program_Wf_measure_wf' 'h4/thm/relation/total_inv_image_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_1_r' 'h4/thm/HolSmt/r127_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_id' 'h4/thm/integer/NUM_OF_INT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lxor_eq_0_iff' 'h4/thm/real/REAL_SUB_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_succ_diag_r' 'h4/thm/prim_rec/LESS_SUC_SUC_0'
0. 'coq/Coq_Reals_RIneq_Rplus_lt_le_0_compat'#@#variant 'h4/thm/arithmetic/ONE_LT_MULT_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_nge' 'h4/thm/integer/int_le_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_ngt' 'h4/thm/real/REAL_NOT_LT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_divide_mono_l' 'h4/thm/realax/TREAL_LT_ADD_'#@#variant
0. 'coq/Coq_Reals_Rfunctions_pow_lt'#@#variant 'h4/thm/float/REAL_POW_LE_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_ge_le_iff' 'h4/thm/integer/INT_GT_CALCULATE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mod_1_r'#@#variant 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRL'#@#variant
0. 'coq/Coq_Arith_Min_min_idempotent' 'h4/thm/extreal/max_refl_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_land_diag' 'h4/thm/extreal/max_refl_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_pos'#@#variant 'h4/thm/real/REAL_LE_INV_EQ_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_ngt' 'h4/thm/real/REAL_NOT_LT_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_iff' 'h4/thm/rat/RAT_EQ_NUM_CALCULATE_0'
0. 'coq/Coq_Lists_List_hd_error_cons' 'h4/thm/llist/LHD_LCONS_'
0. 'coq/Coq_Reals_Rtrigo_calc_Rgt_3PI2_0'#@#variant 'h4/thm/real/REAL_THIRDS_BETWEEN_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_eq_iff'#@#variant 'h4/thm/extreal/abs_refl_'#@#variant
0. 'coq/Coq_Reals_Rtrigo_def_sin_no_R0' 'h4/thm/binary_ieee/zero_neq_twopow_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_null'#@#variant 'h4/thm/intExtension/INT_SGN_CLAUSES_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pos_pred_succ' 'h4/thm/prelim/ordering_BIJ_0'
0. 'coq/Coq_ZArith_Znat_Zabs2N_id' 'h4/thm/prelim/num2ordering_ordering2num_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_pred_double_spec' 'h4/thm/numRing/num_rewrites_tLRLRR'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_1_l'#@#variant 'h4/thm/extreal/sub_lzero_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_pos_r'#@#variant 'h4/thm/real/REAL_LT_RMUL_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_mul_le_mono_l' 'h4/thm/real/REAL_LE_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_le_compat_r' 'h4/thm/hrat/TRAT_MUL_WELLDEFINED_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_setbit_spec_prime'#@#variant 'h4/thm/integer/INT_SUB_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_nonneg_nonneg' 'h4/thm/realax/TREAL_LT_MUL_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_le_compat_r' 'h4/thm/hrat/TRAT_ADD_WELLDEFINED_'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_one_neq_zero' 'h4/thm/ieee/ccode_distinct_4'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_sub_assoc' 'h4/thm/arithmetic/LESS_EQ_ADD_SUB_'
0. 'coq/Coq_QArith_QArith_base_inject_Z_opp' 'h4/thm/complex/COMPLEX_OF_REAL_NEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_succ_diag_r' 'h4/thm/divides/INDEX_LESS_PRIMES_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mod_1_r'#@#variant 'h4/thm/integer/INT_MOD_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_nonneg' 'h4/thm/transc/ATN_0'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_is_nonneg'#@#variant 'h4/thm/extreal/le_num_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_ge_cases' 'h4/thm/real/REAL_LTE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_pos'#@#variant 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lxor_eq' 'h4/thm/extreal/sub_0_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_min_le_compat_l' 'h4/thm/real/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_digits/0'#@#variant 'h4/thm/integer/INT_POS_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_succ_pred_double' 'h4/thm/numeral/numeral_pre_e4'
0. 'coq/Coq_QArith_QArith_base_Zlt_Qlt' 'h4/thm/int_arith/INT_NUM_DIVIDES_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_simpl_r' 'h4/thm/integer/INT_SUB_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_neq' 'h4/thm/intExtension/INT_ABS_CALCULATE_NEG_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_nonneg' 'h4/thm/prim_rec/LESS_0_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_eq_cases' 'h4/thm/integral/LE_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_le_mono_l' 'h4/thm/integer/INT_LT_LADD_'
0. 'coq/Coq_Reals_AltSeries_PI_tg_pos'#@#variant 'h4/thm/real/POW_2_LE1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_lt_mono_l' 'h4/thm/hreal/HRAT_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_le_mono_r' 'h4/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_ZArith_BinInt_Z_log2_le_mono' 'h4/thm/integer/TINT_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_NArith_Nnat_Nat2N_id' 'h4/thm/pred_set/pair_to_num_inv_0'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_sin_neg' 'h4/thm/complex/CONJ_INV_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_le_compat_r' 'h4/thm/arithmetic/LESS_MONO_MULT_'
0. 'coq/Coq_QArith_Qcanon_Qcle_refl' 'h4/thm/integer/INT_DIVIDES_REFL_'
0. 'coq/Coq_QArith_QArith_base_Qplus_inj_l' 'h4/thm/hreal/HRAT_LT_LMUL_'
0. 'coq/Coq_Reals_ROrderedType_ROrder_le_lt_trans' 'h4/thm/real/REAL_LET_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_succ' 'h4/thm/numRing/num_rewrites_tLLRRRR'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_cancel_r' 'h4/thm/complex/COMPLEX_EQ_RADD_'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qclt_le_weak' 'h4/thm/rat/RAT_LES_IMP_LEQ_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_1_r' 'h4/thm/rat/RAT_SUB_RID_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mod_small' 'h4/thm/real/REAL_MIN_ALT_0'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_lt_mono_l' 'h4/thm/integer/INT_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_trichotomy' 'h4/thm/rat/RAT_LES_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_cancel_l' 'h4/thm/complex/COMPLEX_EQ_LADD_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_b2n_div2'#@#variant 'h4/thm/extreal/extreal_sub_def_3'
0. 'coq/Coq_Bool_Bool_negb_involutive_reverse' 'h4/thm/complex/COMPLEX_INV_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_0_l' 'h4/thm/integer/INT_SUB_REDUCE_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ldiff_m1_l'#@#variant 'h4/thm/integer/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_1_r' 'h4/thm/arithmetic/ADD1_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_le_1_l' 'h4/thm/integer/INT_DIVIDES_1_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_inj_wd' 'h4/thm/extreal/eq_neg_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lcm_1_r'#@#variant 'h4/thm/arithmetic/PRE_SUB1_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_lt_mono_l' 'h4/thm/integer/LT_LADD_'
0. 'coq/Coq_QArith_QOrderedType_QOrder_le_refl' 'h4/thm/rat/RAT_EQUIV_REF_'
0. 'coq/Coq_Reals_Ratan_atan_opp' 'h4/thm/complex/CONJ_NEG_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_pos_pos' 'h4/thm/binary_ieee/le2_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div2_div'#@#variant 'h4/thm/arithmetic/DIV2_def_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_le_0_l' 'h4/thm/divides/ONE_DIVIDES_ALL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_setbit_spec_prime'#@#variant 'h4/thm/real/real_div_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_setbit_spec_prime'#@#variant 'h4/thm/real/real_sub_'
0. 'coq/Coq_Reals_Rtrigo_calc_sqrt2_neq_0'#@#variant 'h4/thm/toto/cpn_distinct_e2'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_glb' 'h4/thm/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_involutive' 'h4/thm/integer/INT_NEGNEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_pos_l'#@#variant 'h4/thm/logroot/LE_EXP_ISO_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lxor_nilpotent' 'h4/thm/arithmetic/ABS_DIFF_EQS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sub_max_distr_l' 'h4/thm/arithmetic/EXP_ADD_'
0. 'coq/Coq_NArith_BinNat_N_succ_inj_wd' 'h4/thm/toto/num_dt_11_e1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_inj_wd' 'h4/thm/prim_rec/INV_SUC_EQ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_lt_mono_pos_l'#@#variant 'h4/thm/real/REAL_LE_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_inj_wd' 'h4/thm/real/REAL_INV_INJ_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_le_compat_l' 'h4/thm/real/REAL_LT_IADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_opp' 'h4/thm/numeral/numeral_distrib_16'
0. 'coq/Coq_NArith_Ndist_ni_le_min_2' 'h4/thm/extreal/min_le2_'
0. 'coq/Coq_QArith_Qminmax_Q_max_lub_iff' 'h4/thm/util_prob/MAX_LE_X_'
0. 'coq/Coq_ZArith_BinInt_Z_divide_lcm_l' 'h4/thm/realax/HREAL_LT_ADDL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pred_div2_up' 'h4/thm/extreal/extreal_sqrt_def_0'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_le_mono_r' 'h4/thm/rat/RAT_LES_RADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_ge_le_iff' 'h4/thm/string/string_gt_def_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_le_add_le_sub_r' 'h4/thm/rat/RAT_RSUB_LES_'
0. 'coq/Coq_ZArith_BinInt_Z_max_lt_iff' 'h4/thm/real/REAL_LE_MAX_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_glb_iff' 'h4/thm/arithmetic/MIN_LT_e1'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_eq_0' 'h4/thm/extreal/entire_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_double_spec'#@#variant 'h4/thm/extreal/inv_1over_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sub_0_l' 'h4/thm/extreal/sub_lzero_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_pos_r'#@#variant 'h4/thm/logroot/EXP_LE_ISO_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_div2_succ_double' 'h4/thm/numeral/numeral_add_0'#@#variant
0. 'coq/Coq_Reals_Ratan_atan_increasing' 'h4/thm/real/REAL_POS_MONO_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_succ_diag_r' 'h4/thm/divides/INDEX_LESS_PRIMES_'
0. 'coq/Coq_Reals_R_sqr_Rsqr_neg' 'h4/thm/numeral/numeral_add_6'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_pos_nonneg'#@#variant 'h4/thm/real/REAL_LTE_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_le_mono' 'h4/thm/bit/TWOEXP_MONO2_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_pos_l'#@#variant 'h4/thm/transc/RPOW_LT_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_le_mono_r' 'h4/thm/arithmetic/LESS_EQ_MONO_ADD_EQ_'
0. 'coq/Coq_ZArith_BinInt_Z_succ_lt_mono' 'h4/thm/numpair/tri_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div_1_r' 'h4/thm/HolSmt/r223_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sub_le_mono_r' 'h4/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lt_add_lt_sub_r' 'h4/thm/arithmetic/SUB_LEFT_LESS_'
0. 'coq/Coq_ZArith_Zdiv_Zdiv_1_r' 'h4/thm/HolSmt/r127_'
0. 'coq/Coq_ZArith_BinInt_Z_testbit_even_0'#@#variant 'h4/thm/toto/num_dtOrd_3'
0. 'coq/Coq_QArith_Qround_Qceiling_Z' 'h4/thm/realax/TREAL_BIJ_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_le_compat_r' 'h4/thm/extreal/le_radd_imp_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sub_min_distr_l' 'h4/thm/arithmetic/EXP_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_succ_r' 'h4/thm/complex/COMPLEX_NEG_RMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_le_lin'#@#variant 'h4/thm/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_succ_l' 'h4/thm/integer/INT_MUL_CALCULATE_1'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_of_Z' 'h4/thm/pred_set/pair_to_num_inv_0'#@#variant
0. 'coq/Coq_ZArith_Znat_Zabs2N_id' 'h4/thm/binary_ieee/num2rounding_rounding2num_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_le_compat_l' 'h4/thm/integer/INT_LT_LADD_IMP_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_le_compat_l' 'h4/thm/extreal/le_ladd_imp_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_lt_cancel' 'h4/thm/arithmetic/LESS_MONO_REV_'
0. 'coq/Coq_ZArith_BinInt_Z_mod_0_l' 'h4/thm/integer/INT_MOD0_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_gcd_diag' 'h4/thm/arithmetic/MAX_IDEM_'
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_add_cancel_r' 'h4/thm/divides/DIVIDES_ADD_2_'
0. 'coq/Coq_ZArith_BinInt_Z_add_opp_diag_l' 'h4/thm/hrat/HRAT_MUL_LINV_'
0. 'coq/Coq_Reals_ArithProp_lt_minus_O_lt'#@#variant 'h4/thm/extreal/sub_zero_lt_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ldiff_m1_l'#@#variant 'h4/thm/util_prob/lg_def_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rgt_not_ge' 'h4/thm/integer/INT_LTE_ANTSYM_'
0. 'coq/Coq_ZArith_BinInt_Z_pow_add_r'#@#variant 'h4/thm/util_prob/logr_mul_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_setbit_spec_prime'#@#variant 'h4/thm/frac/frac_div_def_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_eq_le_incl' 'h4/thm/HolSmt/t006_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mod_0_l' 'h4/thm/integer/INT_DIV_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_total' 'h4/thm/hreal/HREAL_LT_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_pow_succ_r' 'h4/thm/arithmetic/MULT_SUC_'
0. 'coq/Coq_NArith_BinNat_N_shiftl_mul_pow2'#@#variant 'h4/thm/extreal/extreal_sub_add_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_le_mono_nonneg_r'#@#variant 'h4/thm/real/REAL_LT_RMUL_IMP_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_nonneg' 'h4/thm/transc/ATN_BOUNDS_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div2_double' 'h4/thm/numeral/numeral_add_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_pos_r'#@#variant 'h4/thm/real/REAL_LT_RDIV_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_le_add_le_sub_r' 'h4/thm/integer/INT_LT_ADD_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_negb_odd' 'h4/thm/util_prob/lg_pow_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_le_mono' 'h4/thm/prim_rec/LESS_MONO_'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_one_neq_zero' 'h4/thm/toto/all_cpn_distinct_tLL'
0. 'coq/Coq_Reals_Rminmax_RHasMinMax_min_r' 'h4/thm/real/REAL_MIN_ALT_e1'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lcm_1_l' 'h4/thm/HolSmt/r213_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_inj_wd' 'h4/thm/numeral/numeral_eq_6'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_phi' 'h4/thm/rat/RAT_'
0. 'coq/Coq_ZArith_BinInt_Z_gcd_divide_r' 'h4/thm/real/REAL_MIN_LE2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_le_mono' 'h4/thm/integerRing/int_rewrites_tLRRRLRRRR'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_le_mono' 'h4/thm/hrat/TRAT_INV_WELLDEFINED_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_lt_trans' 'h4/thm/extreal/let_trans_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_lt_mono_pos_l'#@#variant 'h4/thm/arithmetic/EXP_BASE_LE_MONO_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_nonpos_nonneg'#@#variant 'h4/thm/integer/INT_NEG_LE0_'#@#variant
0. 'coq/Coq_ZArith_Znat_Zabs2N_id' 'h4/thm/integer/NUM_OF_INT_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_of_Qc' 'h4/thm/num/num_ISO_DEF_0'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_id' 'h4/thm/real/REAL_MAX_REFL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_le_lin' 'h4/thm/numpair/nsnd_le_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_0_l' 'h4/thm/arithmetic/ZERO_LESS_EQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_le_mono' 'h4/thm/transc/EXP_MONO_LT_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_lt_mono_l' 'h4/thm/realax/HREAL_LT_LADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_div2_double'#@#variant 'h4/thm/bit/LOG2_TWOEXP_'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qcle_not_lt' 'h4/thm/real/REAL_LET_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_neq_succ_0' 'h4/thm/bit/TWOEXP_NOT_ZERO_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_inj_wd' 'h4/thm/numeral/numeral_distrib_19'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_lt_mono_r' 'h4/thm/rat/RAT_LES_RADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_le_mono' 'h4/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_le_mono_l' 'h4/thm/arithmetic/LESS_MONO_ADD_'
0. 'coq/Coq_Bool_Bool_negb_involutive_reverse' 'h4/thm/integer/INT_DIV_CALCULATE_e4'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_succ_diag_r' 'h4/thm/real/REAL_POS_INFLATE_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_add_lt_sub_r' 'h4/thm/integer/INT_LT_ADD_SUB_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_alt_dichotomy' 'h4/thm/real/REAL_LE_TOTAL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ldiff_m1_l'#@#variant 'h4/thm/HolSmt/r128_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_inj_wd' 'h4/thm/transc/EXP_INJ_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_land_diag' 'h4/thm/extreal/max_refl_'
0. 'coq/Coq_ZArith_Znat_positive_nat_Z' 'h4/thm/realax/real_of_hreal_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_inj_wd' 'h4/thm/numpair/tri_11_'
0. 'coq/Coq_ZArith_BinInt_Z_ldiff_m1_l'#@#variant 'h4/thm/numeral/texp_help_def_0'
0. 'coq/Coq_ZArith_BinInt_Z_max_le_iff' 'h4/thm/util_prob/X_LE_MAX_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div2_double' 'h4/thm/string/EXPLODE_IMPLODE_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mod_same' 'h4/thm/integer/INT_MOD_ID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_le_compat_r' 'h4/thm/arithmetic/LESS_MONO_ADD_'
0. 'coq/Coq_Reals_RIneq_Rinv_0_lt_compat'#@#variant 'h4/thm/extreal/le_inv_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_sgn' 'h4/thm/complex/COMPLEX_OF_REAL_NEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_even_1' 'h4/thm/float/FLOAT_INFINITIES_SIGNED_e1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pred_le_mono' 'h4/thm/hrat/TRAT_INV_WELLDEFINED_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_refl' 'h4/thm/integer/INT_LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_eq_cases' 'h4/thm/integral/LE_LT_'
0. 'coq/Coq_NArith_BinNat_N_le_ngt' 'h4/thm/rat/RAT_LEQ_LES_'
0. 'coq/Coq_NArith_BinNat_N_succ_pos_spec' 'h4/thm/complex/MODU_REAL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_lt_mono_pos_r'#@#variant 'h4/thm/rat/RAT_LES_RMUL_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_square_spec' 'h4/thm/numeral/iDUB_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lor_eq_0_l' 'h4/thm/transc/RPOW_NZ_'#@#variant
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_gss' 'h4/thm/sptree/lookup_insert1_'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_le_neq' 'h4/thm/real/REAL_LT_TOTAL_'
0. 'coq/Coq_NArith_Ndist_ni_le_refl' 'h4/thm/realax/TREAL_EQ_REFL_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_1_l' 'h4/thm/real/REAL_ADD_LID_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_lt_mono_r' 'h4/thm/hreal/HRAT_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_rem_opp_l_prime' 'h4/thm/integer/INT_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_pow' 'h4/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_add_r' 'h4/thm/arithmetic/LESS_EQ_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_divide_mul_l' 'h4/thm/divides/DIVIDES_MULT_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_1_r' 'h4/thm/real/REAL_SUB_RZERO_'
0. 'coq/Coq_FSets_FSetPositive_PositiveSet_E_bits_lt_antirefl' 'h4/thm/hreal/HRAT_LT_REFL_'
0. 'coq/Coq_Reals_ROrderedType_ROrder_lt_le_trans' 'h4/thm/integer/INT_LTE_TRANS_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_le_compat_l' 'h4/thm/integer/TINT_LT_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_eq_1'#@#variant 'h4/thm/arithmetic/ADD_EQ_0_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_0_discr' 'h4/thm/quote/index_distinct_1'
0. 'coq/Coq_ZArith_BinInt_Z_abs_pow' 'h4/thm/integer/INT_NEG_LMUL_'
0. 'coq/Coq_ZArith_BinInt_Z_shiftr_opp_r' 'h4/thm/complex/complex_sub_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_divide_xO_xO' 'h4/thm/numeral/numeral_lte_3'
0. 'coq/Coq_Arith_PeanoNat_Nat_eq_add_0' 'h4/thm/arithmetic/MULT_EQ_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_lt_iff' 'h4/thm/util_prob/X_LE_MAX_'
0. 'coq/Coq_ZArith_BinInt_Z_lxor_eq_0_iff' 'h4/thm/rat/RAT_EQ_0SUB_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_diag' 'h4/thm/arithmetic/MAX_IDEM_'
0. 'coq/Coq_Reals_RIneq_Ropp_Ropp_IZR' 'h4/thm/extreal/extreal_exp_def_0'
0. 'coq/Coq_Reals_Rtrigo1_sin_neg' 'h4/thm/numeral/numeral_distrib_16'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_nonneg' 'h4/thm/transc/ATN_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lor_diag' 'h4/thm/real/REAL_MAX_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_refl' 'h4/thm/rat/RAT_EQUIV_REF_'
0. 'coq/Coq_ZArith_BinInt_Z_add_opp_r' 'h4/thm/integer/INT_SUB_CALCULATE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_neg_pos'#@#variant 'h4/thm/integer/INT_NEG_LT0_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_nge' 'h4/thm/integer/INT_NOT_LE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_succ_l' 'h4/thm/extreal/mul_lneg_'
0. 'coq/Coq_NArith_BinNat_N_mul_eq_0' 'h4/thm/rat/RAT_NO_ZERODIV_'#@#variant
0. 'coq/Coq_ZArith_Zeven_Zodd_not_Zeven' 'h4/thm/arithmetic/EVEN_AND_ODD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_nonneg_nonneg' 'h4/thm/realax/TREAL_LT_MUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_refl' 'h4/thm/extreal/le_refl_'
0. 'coq/Coq_Arith_PeanoNat_Nat_max_le_compat_r' 'h4/thm/hrat/TRAT_ADD_WELLDEFINED_'#@#variant
0. 'coq/Coq_Reals_Ratan_atan_right_inv' 'h4/thm/transc/LN_EXP_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mod_1_l'#@#variant 'h4/thm/arithmetic/ONE_MOD_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_setbit_spec_prime'#@#variant 'h4/thm/frac/frac_sub_def_'
0. 'coq/Coq_Reals_Rfunctions_RPow_abs' 'h4/thm/complex/COMPLEX_POW_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_eq_1'#@#variant 'h4/thm/arithmetic/ADD_EQ_0_'
0. 'coq/Coq_NArith_BinNat_N_pow_1_r' 'h4/thm/integer/INT_ADD_REDUCE_1'
0. 'coq/Coq_NArith_BinNat_N_log2_double'#@#variant 'h4/thm/util_prob/neg_lg_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_le_mono' 'h4/thm/integer/TINT_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zlt_le_succ' 'h4/thm/bit/BIT_IMP_GE_TWOEXP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftl_opp_r' 'h4/thm/real/real_div_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_lt_lin'#@#variant 'h4/thm/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div_1_r' 'h4/thm/rat/RAT_SUB_RID_'
0. 'coq/Coq_ZArith_Zdiv_Zmod_1_r'#@#variant 'h4/thm/integer/INT_MOD_1_'#@#variant
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_div2' 'h4/thm/toto/num_dt_size_def_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ldiff_m1_r'#@#variant 'h4/thm/util_prob/logr_1_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_min_glb_lt_iff' 'h4/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_ZArith_Znat_positive_nat_N' 'h4/thm/realax/real_of_hreal_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_Zpos' 'h4/thm/realax/real_lt_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_1_l' 'h4/thm/real/REAL_SUB_LZERO_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_le_mono_r' 'h4/thm/hreal/HRAT_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_le_mono' 'h4/thm/numeral/numeral_lt_3'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_lt_mono_r' 'h4/thm/arithmetic/LT_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lcm_eq_0' 'h4/thm/integer/INT_ENTIRE_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_eq_0' 'h4/thm/real/REAL_ENTIRE_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_refl' 'h4/thm/rat/RAT_LEQ_REF_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_le_mono_r' 'h4/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_wf_0' 'h4/thm/nets/DORDER_NGE_'
0. 'coq/Coq_Reals_AltSeries_PI_tg_pos'#@#variant 'h4/thm/extreal/lt_infty_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_setbit_spec_prime'#@#variant 'h4/thm/HolSmt/r224_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_lt_mono_l' 'h4/thm/real/REAL_LE_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_lt_iff' 'h4/thm/util_prob/X_LE_MAX_'
0. 'coq/Coq_ZArith_BinInt_Z_min_id' 'h4/thm/arithmetic/MAX_IDEM_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_opp_r' 'h4/thm/frac/frac_div_def_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_lcm_l' 'h4/thm/hreal/HRAT_LT_ADDL_'
0. 'coq/Coq_Reals_Ratan_atan_increasing' 'h4/thm/bit/TWOEXP_MONO2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_1' 'h4/thm/rat/RAT_AINV_0_'
0. 'coq/Coq_ZArith_Zpow_alt_Zpower_alt_0_r'#@#variant 'h4/thm/arithmetic/MOD_1_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_sub_diag' 'h4/thm/integer/INT_SUB_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_le_mono' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_le_compat_l' 'h4/thm/integer/INT_LT_LADD_IMP_'
0. 'coq/Coq_ZArith_BinInt_Z_add_pred_r' 'h4/thm/real/REAL_MUL_RNEG_'
0. 'coq/Coq_ZArith_BinInt_Z_add_pos_nonneg'#@#variant 'h4/thm/util_prob/REAL_LE_LT_MUL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_le_mono_pos_r'#@#variant 'h4/thm/real/REAL_LT_RMUL_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_le_max_l' 'h4/thm/realax/HREAL_LT_ADDL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_negb_even' 'h4/thm/integerRing/int_ring_thms_e17'#@#variant
0. 'coq/Coq_Structures_OrderedTypeEx_N_as_OT_lt_not_eq' 'h4/thm/rat/RAT_LES_IMP_NEQ_'
0. 'coq/Coq_PArith_BinPos_Pplus_one_succ_r' 'h4/thm/arithmetic/PRE_SUB1_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_irrefl' 'h4/thm/realax/REAL_LT_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_id' 'h4/thm/extreal/min_refl_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_iff' 'h4/thm/DeepSyntax/deep_form_11_5'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sub_diag' 'h4/thm/real/REAL_SUB_REFL_'#@#variant
0. 'coq/Coq_QArith_Qminmax_Q_max_lub_lt_iff' 'h4/thm/arithmetic/MAX_LT_e1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_divide/1' 'h4/thm/real/REAL_MIN_LE2_'
0. 'coq/Coq_QArith_Qcanon_Qcopp_involutive' 'h4/thm/integer/INT_MOD_CALCULATE_2'
0. 'coq/Coq_QArith_QArith_base_Qle_shift_div_r'#@#variant 'h4/thm/real/REAL_LE_LDIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_ge_cases' 'h4/thm/integer/INT_LET_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_involutive' 'h4/thm/integerRing/int_rewrites_tLRRRRRRRRRRRRL'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_add_lt_sub_r' 'h4/thm/integer/INT_LT_SUB_RADD_'
0. 'coq/Coq_QArith_Qreals_Qeq_eqR' 'h4/thm/realax/TREAL_BIJ_WELLDEF_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_lcm_l' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_0'
0. 'coq/Coq_ZArith_BinInt_Z_mul_1_l' 'h4/thm/real/REAL_ADD_LID_'
0. 'coq/Coq_PArith_BinPos_Pos_min_le_compat_l' 'h4/thm/realax/REAL_LT_IADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_refl' 'h4/thm/arithmetic/LESS_EQ_REFL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_divide' 'h4/thm/real/REAL_LE_'
0. 'coq/Coq_Reals_Rminmax_R_min_le_iff' 'h4/thm/arithmetic/MIN_LT_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_succ_l' 'h4/thm/real/REAL_MUL_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_neq_succ_0' 'h4/thm/toto/num_dt_distinct_1'
0. 'coq/Coq_Arith_PeanoNat_Nat_min_id' 'h4/thm/gcd/GCD_REF_'
0. 'coq/Coq_NArith_BinNat_N_sqrt_1' 'h4/thm/integerRing/int_rewrites_tRRRRRRRRRRRRRL'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_le_mono_r' 'h4/thm/arithmetic/LT_ADD_RCANCEL_'
0. 'coq/Coq_Reals_Raxioms_Rplus_lt_compat_l' 'h4/thm/realax/REAL_LT_IADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_even_sub' 'h4/thm/float/REAL_OF_NUM_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_succ' 'h4/thm/numRing/num_rewrites_tLRLRRR'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_lt_mono_pos_r'#@#variant 'h4/thm/real/REAL_LE_RMUL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_le_sub_0' 'h4/thm/rat/RAT_LES_SUB0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_pred_l' 'h4/thm/numpair/invtri_le_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_asymm' 'h4/thm/real/REAL_LT_GT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_b2n_div2'#@#variant 'h4/thm/extreal/extreal_sub_def_e6'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_1_succ' 'h4/thm/transc/ATN_0'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rmax_Rlt' 'h4/thm/arithmetic/MAX_LE_e1'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_succ_le_mono' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_le_pred' 'h4/thm/arithmetic/LESS_EQ_IMP_LESS_SUC_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_glb_lt_iff' 'h4/thm/integral/REAL_LT_MIN_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_nonneg'#@#variant 'h4/thm/real/REAL_LE_INV_EQ_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_nonneg' 'h4/thm/prim_rec/LESS_0_'
0. 'coq/Coq_ZArith_BinInt_Z_divide_lcm_r' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_1'
0. 'coq/Coq_Reals_Rtrigo1_sin_neg' 'h4/thm/transc/SIN_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_lub_iff' 'h4/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_gt_lt_iff' 'h4/thm/HolSmt/r103_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_le_mono_pos_l'#@#variant 'h4/thm/real/REAL_LE_LMUL_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_succ_r' 'h4/thm/real/REAL_NEG_RMUL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mod_1_r'#@#variant 'h4/thm/arithmetic/MOD_ONE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pred_succ' 'h4/thm/transc/ATN_TAN_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_rem_opp_opp' 'h4/thm/real/ABS_DIV_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_even' 'h4/thm/complex/MODU_NUM_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_lt_lin' 'h4/thm/transc/LN_LT_X_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_neg'#@#variant 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRL'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_refl' 'h4/thm/divides/DIVIDES_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_l' 'h4/thm/integer/INT_LT_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_pos_pos' 'h4/thm/arithmetic/LESS_MULT2_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_le_compat_l' 'h4/thm/realax/REAL_LT_IADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_lt_mono_pos_r'#@#variant 'h4/thm/real/REAL_LE_RMUL_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_max_r' 'h4/thm/extreal/le_max2_'
0. 'coq/Coq_QArith_Qminmax_Q_le_max_l' 'h4/thm/realax/HREAL_LT_ADDL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_1' 'h4/thm/integerRing/int_rewrites_tRRRRRRRRRRRRRL'
0. 'coq/Coq_Bool_Bool_negb_involutive' 'h4/thm/rat/RAT_AINV_AINV_'
0. 'coq/Coq_Numbers_BigNumPrelude_Zlt0_not_eq'#@#variant 'h4/thm/intExtension/LESS_IMP_NOT_0_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rle_max_compat_l' 'h4/thm/extreal/le_ladd_imp_'
0. 'coq/Coq_ZArith_BinInt_Z_min_le_iff' 'h4/thm/extreal/min_le_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_sub' 'h4/thm/real/REAL_SUB_ADD_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_sqrt' 'h4/thm/extreal/extreal_exp_def_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sub_add' 'h4/thm/arithmetic/SUB_ADD_'
0. 'coq/Coq_Reals_Rbasic_fun_Rmax_Rle' 'h4/thm/arithmetic/MAX_LE_0'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_succ_not_1' 'h4/thm/intto/BIT1_nz_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ge_le_iff' 'h4/thm/integer/INT_GT_CALCULATE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_total' 'h4/thm/real/REAL_LT_TOTAL_'
0. 'coq/Coq_PArith_BinPos_Pos_add_1_l' 'h4/thm/HolSmt/r129_'#@#variant
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_iff' 'h4/thm/integer/INT_DIV_CALCULATE_2'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_nonneg' 'h4/thm/transc/ATN_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_nonneg_pos'#@#variant 'h4/thm/real/REAL_LET_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_involutive' 'h4/thm/integer/INT_ABS_ABS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_1_r' 'h4/thm/HolSmt/r080_'
0. 'coq/Coq_NArith_BinNat_N_pred_sub'#@#variant 'h4/thm/arithmetic/PRE_SUB1_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_succ_lt_mono' 'h4/thm/transc/EXP_MONO_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_1_l'#@#variant 'h4/thm/integer/INT_SUB_REDUCE_1'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_0_succ' 'h4/thm/transc/ATN_BOUNDS_0'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_of_Q' 'h4/thm/ieee/roundmode_BIJ_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ldiff_m1_r'#@#variant 'h4/thm/integer/INT_MOD_1_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_1_l' 'h4/thm/HolSmt/r128_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_divide_cancel_r' 'h4/thm/int_arith/INT_DIVIDES_LRMUL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_divide_1_l'#@#variant 'h4/thm/divides/ONE_DIVIDES_ALL_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_Odd_succ' 'h4/thm/binary_ieee/exp_gt2_'#@#variant
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_eq_not_lt' 'h4/thm/real/REAL_LT_IMP_NE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_lcm_l' 'h4/thm/integer/INT_DIVIDES_MUL_0'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_refl' 'h4/thm/realax/TREAL_EQ_REFL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lt_0_sub'#@#variant 'h4/thm/integer/INT_SUB_LE_'#@#variant
0. 'coq/Coq_QArith_Qround_Qceiling_Z' 'h4/thm/extreal/real_normal_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_cancel_l' 'h4/thm/integer/INT_EQ_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_simpl_r' 'h4/thm/integer/INT_SUB_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_le_mono' 'h4/thm/numeral/numeral_lte_e6'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_lt_mono' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_lteq' 'h4/thm/arithmetic/LESS_OR_EQ_'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_double'#@#variant 'h4/thm/DeepSyntax/deep_form_size_def_2'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_2' 'h4/thm/util_prob/HALF_LT_1_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zgt_asym' 'h4/thm/integer/INT_LT_ANTISYM_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_iff' 'h4/thm/string/ORD_11_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_cancel_l' 'h4/thm/complex/COMPLEX_EQ_LADD_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_0_l_prime' 'h4/thm/integer/INT_QUOT_0_'#@#variant
0. 'coq/Coq_QArith_Qround_Qceiling_Z' 'h4/thm/real/NUM_FLOOR_EQNS_0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_le_mono_r' 'h4/thm/integer/INT_LE_RADD_'
0. 'coq/Coq_NArith_BinNat_N_add_cancel_r' 'h4/thm/arithmetic/EQ_ADD_RCANCEL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_1' 'h4/thm/util_prob/HALF_LT_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_0_r' 'h4/thm/arithmetic/LESS_EQ_0_'
0. 'coq/Coq_Relations_Operators_Properties_clos_rst_is_equiv' 'h4/thm/sptree/wf_mk_wf_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_add_r' 'h4/thm/extreal/le_max1_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_inj_wd' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_pos_pos' 'h4/thm/arithmetic/LESS_MULT2_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_le_incl' 'h4/thm/integer/INT_LT_IMP_LE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_glb_lt_iff' 'h4/thm/arithmetic/MIN_LT_e1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div_pos'#@#variant 'h4/thm/util_prob/REAL_LE_LT_MUL_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_sqrt_2' 'h4/thm/real/REAL_THIRDS_BETWEEN_tRRRL'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_negb_even' 'h4/thm/numRing/num_ring_thms_e17'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_pred_succ' 'h4/thm/numeral/numeral_add_0'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_log2' 'h4/thm/quote/index_size_def_0'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_le_sub_le_add_r' 'h4/thm/integer/INT_LT_SUB_LADD_'
0. 'coq/Coq_Structures_OrderedTypeEx_PositiveOrderedTypeBits_bits_lt_antirefl' 'h4/thm/realax/REAL_LT_REFL_'
0. 'coq/Coq_QArith_QArith_base_Qinv_lt_0_compat'#@#variant 'h4/thm/transc/SQRT_POS_LE_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_gcd_diag' 'h4/thm/real/REAL_MIN_REFL_'
0. 'coq/Coq_Reals_RIneq_Rnot_gt_ge' 'h4/thm/arithmetic/LESS_CASES_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_nonneg_l'#@#variant 'h4/thm/real/REAL_LE_LMUL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_refl' 'h4/thm/real/REAL_LE_REFL_'
0. 'coq/Coq_Reals_Ratan_ps_atan_opp' 'h4/thm/transc/TAN_NEG_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_le_iff' 'h4/thm/util_prob/X_LE_MAX_'
0. 'coq/__constr_Coq_Sets_Finite_sets_Finite_0_1' 'h4/thm/lbtree/finite_rules_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_opp' 'h4/thm/transc/COS_NEG_'
0. 'coq/Coq_ZArith_BinInt_Z_div_1_r' 'h4/thm/real/REAL_SUB_RZERO_'
0. 'coq/Coq_NArith_BinNat_N_setbit_spec_prime'#@#variant 'h4/thm/real/real_sub_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lcm_eq_0' 'h4/thm/extreal/entire_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sub_add_distr' 'h4/thm/arithmetic/EXP_EXP_MULT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lor_diag' 'h4/thm/arithmetic/MIN_IDEM_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_lt_mono_pos_l'#@#variant 'h4/thm/transc/RPOW_LE_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rle_antisym' 'h4/thm/divides/DIVIDES_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_le_lt_mono' 'h4/thm/real/REAL_LET_ADD2_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sub_le_mono_r' 'h4/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_ZArith_Zdiv_Zdiv_1_r' 'h4/thm/extreal/add_rzero_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_0_sub' 'h4/thm/arithmetic/SUB_LESS_0_'
0. 'coq/Coq_Arith_PeanoNat_Nat_pred_succ' 'h4/thm/numRing/num_rewrites_tLLRRRR'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_le_trans' 'h4/thm/arithmetic/LESS_LESS_EQ_TRANS_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_id' 'h4/thm/binary_ieee/num2rounding_rounding2num_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_le_mono_r' 'h4/thm/real/REAL_LE_SUB_CANCEL2_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_r' 'h4/thm/real/REAL_MIN_ALT_e1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_le_mono_r' 'h4/thm/arithmetic/LESS_MONO_ADD_EQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_ge_le_iff' 'h4/thm/arithmetic/GREATER_EQ_'
0. 'coq/Coq_NArith_BinNat_N_sub_add' 'h4/thm/hreal/HREAL_SUB_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_nlt' 'h4/thm/arithmetic/NOT_LESS_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_factor_l' 'h4/thm/hreal/HRAT_LT_ADDL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_le_mono_l' 'h4/thm/arithmetic/ADD_MONO_LESS_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lor_diag' 'h4/thm/real/REAL_MIN_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pred_succ' 'h4/thm/string/EXPLODE_IMPLODE_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Zopp_mult_distr_l' 'h4/thm/arithmetic/ADD_e1'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_glb_lt_iff' 'h4/thm/extreal/le_min_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_le_compat_r' 'h4/thm/arithmetic/LESS_MONO_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_le_mono_r' 'h4/thm/hreal/HRAT_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_square_spec' 'h4/thm/real/REAL_DOUBLE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_add_r' 'h4/thm/extreal/le_max1_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_pos_r'#@#variant 'h4/thm/real/REAL_LT_RDIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_succ_r' 'h4/thm/arithmetic/ADD_SUC_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sub_le_mono_r' 'h4/thm/extreal/le_radd_imp_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_lcm_r' 'h4/thm/hreal/HRAT_LT_ADDR_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_succ_diag_r' 'h4/thm/real/ABS_LE_'
0. 'coq/Coq_NArith_Ndist_ni_min_O_r' 'h4/thm/rat/RAT_MUL_RZERO_'
0. 'coq/Coq_NArith_BinNat_N_le_lt_trans' 'h4/thm/rat/RAT_LEQ_LES_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_compare_xO_xO' 'h4/thm/toto/qk_numeralOrd_6'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_divide_iff' 'h4/thm/extreal/le_min_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sub_le_mono_r' 'h4/thm/integer/TINT_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mod_0_l' 'h4/thm/integer/INT_MOD0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_rem_mul' 'h4/thm/integer/INT_MOD_COMMON_FACTOR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_succ_le_mono' 'h4/thm/numpair/tri_LE_'
0. 'coq/Coq_ZArith_BinInt_Z_gcd_1_l' 'h4/thm/rat/RAT_MUL_LZERO_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_le_mono_r' 'h4/thm/rat/RAT_LES_RADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_succ_inj_wd' 'h4/thm/numeral/numeral_lte_3'
0. 'coq/Coq_ZArith_Zorder_Zmult_lt_compat'#@#variant 'h4/thm/real/REAL_LE_MUL2_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftl_shiftl' 'h4/thm/logroot/EXP_MUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_le_compat_r' 'h4/thm/arithmetic/LESS_MONO_MULT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_asymm' 'h4/thm/real/REAL_LT_GT_'
0. 'coq/Coq_ZArith_BinInt_Z_lcm_1_r'#@#variant 'h4/thm/arithmetic/PRE_SUB1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_le_lin'#@#variant 'h4/thm/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ldiff_m1_r'#@#variant 'h4/thm/numeral/numeral_exp_0'#@#variant
0. 'coq/Coq_NArith_BinNat_N_neq_0_succ' 'h4/thm/transc/EXP_NZ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_ge_le_iff' 'h4/thm/string/string_ge_def_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_mul_le_mono_l' 'h4/thm/hreal/HRAT_LT_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_total' 'h4/thm/extreal/lt_total_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_0_r'#@#variant 'h4/thm/arithmetic/MOD_ONE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_diag' 'h4/thm/HolSmt/r216_'#@#variant
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_l2i_i2l'#@#variant 'h4/thm/string/CHR_ORD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_testbit_of_N' 'h4/thm/intto/pos_pos_thm_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_lt_mono_r' 'h4/thm/arithmetic/LESS_EQ_MONO_ADD_EQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_1_r' 'h4/thm/integer/INT_SUB_RZERO_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_lt_mono_r' 'h4/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_refl' 'h4/thm/hrat/TRAT_EQ_REFL_'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_id' 'h4/thm/rat/RAT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_total' 'h4/thm/rat/RAT_LES_TOTAL_'
0. 'coq/Coq_NArith_BinNat_N_le_neq' 'h4/thm/real/REAL_LT_LE_'
0. 'coq/Coq_QArith_QArith_base_Qeq_refl' 'h4/thm/rat/RAT_LEQ_REF_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_1' 'h4/thm/integerRing/int_calculate_e13'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_divide_xO_xO' 'h4/thm/transc/EXP_MONO_LE_'
0. 'coq/Coq_Arith_PeanoNat_Nat_setbit_spec_prime'#@#variant 'h4/thm/real/real_sub_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_odd_1' 'h4/thm/float/FLOAT_INFINITIES_SIGNED_e1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_le_mono' 'h4/thm/integerRing/int_rewrites_tLRRRLRRRR'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_mul_l' 'h4/thm/arithmetic/LESS_IMP_LESS_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_opp' 'h4/thm/transc/SIN_NEG_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_is_pos' 'h4/thm/extreal/lt_infty_0'
0. 'coq/Coq_Reals_Rpower_Rpower_mult' 'h4/thm/arithmetic/SUB_PLUS_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_opp' 'h4/thm/extreal/extreal_sqrt_def_0'
0. 'coq/Coq_QArith_Qcanon_Qcopp_involutive' 'h4/thm/integerRing/int_calculate_12'
0. 'coq/Coq_ZArith_BinInt_Z_lcm_1_l'#@#variant 'h4/thm/HolSmt/r129_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_lt_mono' 'h4/thm/integerRing/int_rewrites_tLRRRRLRRR'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_setbit_spec_prime'#@#variant 'h4/thm/HolSmt/r131_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_le_mono' 'h4/thm/numpair/tri_LT_I_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_pos_nonneg'#@#variant 'h4/thm/arithmetic/ONE_LT_MULT_IMP_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lnot_ones' 'h4/thm/realax/REAL_ADD_LINV_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_diag' 'h4/thm/arithmetic/SUB_EQUAL_0_'
0. 'coq/Coq_Reals_R_sqrt_sqrt_lt_R0'#@#variant 'h4/thm/real/REAL_LE_INV_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lor_diag' 'h4/thm/real/REAL_MAX_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_move_0_l' 'h4/thm/real/REAL_RNEG_UNIQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_lt_trans' 'h4/thm/extreal/let_trans_'
0. 'coq/Coq_Reals_Rtrigo1_PI_neq0' 'h4/thm/toto/cpn_distinct_0'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_sub_diag' 'h4/thm/rat/RAT_SUB_ID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_involutive' 'h4/thm/integer/INT_QUOT_CALCULATE_e4'
0. 'coq/Coq_NArith_BinNat_N_pow_le_mono_r_iff'#@#variant 'h4/thm/real/REAL_LT_LMUL_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_Zabs' 'h4/thm/extreal/extreal_abs_def_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_nlt_ge' 'h4/thm/real/REAL_NOT_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lor_nonneg'#@#variant 'h4/thm/arithmetic/ODD_MULT_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_succ_pred_double' 'h4/thm/numRing/num_rewrites_tLRLRR'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_cancel_l' 'h4/thm/hreal/HRAT_EQ_LADD_'
0. 'coq/Coq_Reals_Rbasic_fun_Rle_max_compat_r' 'h4/thm/extreal/le_radd_imp_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_succ' 'h4/thm/quote/index_size_def_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_1_l'#@#variant 'h4/thm/arithmetic/ZERO_LESS_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_succ' 'h4/thm/numRing/num_rewrites_tRRLRRR'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_lt' 'h4/thm/integer/INT_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_sub_le_add_r' 'h4/thm/real/REAL_LT_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_square_spec' 'h4/thm/numeral/iDUB_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pred_sub'#@#variant 'h4/thm/arithmetic/PRE_SUB1_'#@#variant
0. 'coq/Coq_QArith_Qreals_Q2R_opp' 'h4/thm/complex/COMPLEX_OF_REAL_INV_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rgt_not_ge' 'h4/thm/real/REAL_LET_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_divide_mul_r' 'h4/thm/integer/INT_DIVIDES_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_trichotomy' 'h4/thm/hreal/HREAL_LT_TOTAL_'
0. 'coq/Coq_PArith_BinPos_Pos_ge_le_iff' 'h4/thm/rat/rat_gre_def_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_0_r' 'h4/thm/extreal/le_infty_tRL'
0. 'coq/Coq_PArith_BinPos_Pos_lt_add_r' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_succ_le_pred' 'h4/thm/bit/TWOEXP_LE_IMP_LE_LOG2_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_lxor_r' 'h4/thm/frac/FRAC_AINV_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_succ_r' 'h4/thm/complex/COMPLEX_NEG_RMUL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_pow_le_mono_r'#@#variant 'h4/thm/logroot/ROOT_LE_MONO_'#@#variant
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_double_plus_one' 'h4/thm/extreal/extreal_exp_def_0'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_le_iff' 'h4/thm/extreal/le_max_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_sgn' 'h4/thm/toto/num_dt_size_def_e2'#@#variant
0. 'coq/Coq_Reals_R_Ifp_Int_part_INR' 'h4/thm/ieee/Sign_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_ge_le_iff' 'h4/thm/integer/INT_GT_CALCULATE_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_glb_lt_iff' 'h4/thm/extreal/le_min_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lor_eq_0_iff' 'h4/thm/arithmetic/MULT_EQ_1_'#@#variant
0. 'coq/Coq_Reals_RIneq_Ropp_involutive' 'h4/thm/complex/CONJ_CONJ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_even_1' 'h4/thm/float/FLOAT_INFINITIES_SIGNED_e1'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_le_max_l' 'h4/thm/arithmetic/LESS_EQ_ADD_'
0. 'coq/Coq_omega_OmegaLemmas_Zred_factor0' 'h4/thm/integer/INT_ADD_RID_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_ngt' 'h4/thm/rat/RAT_LES_LEQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_eq_cases' 'h4/thm/integral/LE_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_1_mul_pos'#@#variant 'h4/thm/extreal/let_mul_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_divide_factor_r' 'h4/thm/hreal/HRAT_LT_ADDR_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_irrefl' 'h4/thm/integer/INT_LT_REFL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_pos_r'#@#variant 'h4/thm/real/REAL_LT_RMUL_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_xO_r' 'h4/thm/arithmetic/ADD_SUC_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_le_mono_l' 'h4/thm/arithmetic/LESS_MONO_ADD_'
0. 'coq/Coq_ZArith_BinInt_Z_add_lt_mono_l' 'h4/thm/realax/HREAL_LT_LADD_'
0. 'coq/Coq_NArith_BinNat_N_pow_le_mono_l' 'h4/thm/hrat/TRAT_ADD_WELLDEFINED_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_opp_l' 'h4/thm/arithmetic/PRE_SUB_'
0. 'coq/Coq_ZArith_BinInt_Z_pred_lt_mono' 'h4/thm/arithmetic/LESS_MONO_EQ_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_id' 'h4/thm/complex/RE_COMPLEX_OF_REAL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_le_mono_r' 'h4/thm/arithmetic/LESS_MONO_ADD_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_divide_cancel_l' 'h4/thm/integer/INT_DIVIDES_MUL_BOTH_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_opp_r' 'h4/thm/complex/COMPLEX_SUB_RNEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_neq_succ_0' 'h4/thm/bit/TWOEXP_NOT_ZERO_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_move_r' 'h4/thm/complex/COMPLEX_EQ_SUB_RADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_le_lin'#@#variant 'h4/thm/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_1_l'#@#variant 'h4/thm/numeral/texp_help_def_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_0_sub'#@#variant 'h4/thm/arithmetic/SUB_LESS_0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_succ_diag_r' 'h4/thm/numpair/tri_le_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_le_mono_pos_r'#@#variant 'h4/thm/real/REAL_LT_RMUL_'#@#variant
0. 'coq/Coq_Bool_Bool_eqb_negb1' 'h4/thm/rat/RAT_ADD_LINV_'#@#variant
0. 'coq/Coq_Reals_Rtrigo_def_sin_no_R0' 'h4/thm/binary_ieee/float_value_distinct_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_ngt' 'h4/thm/integer/INT_NOT_LT_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_compare' 'h4/thm/toto/qk_numOrd_def_'
0. 'coq/Coq_ZArith_Zpow_facts_Zpower_lt_monotone'#@#variant 'h4/thm/logroot/LOG_LE_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_opp_l' 'h4/thm/complex/COMPLEX_MUL_LNEG_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_move_r' 'h4/thm/complex/COMPLEX_EQ_SUB_RADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_1_l'#@#variant 'h4/thm/integer/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_succ_0_discr' 'h4/thm/arithmetic/SUC_NOT_'
0. 'coq/Coq_Reals_Rbasic_fun_Rmin_right' 'h4/thm/real/REAL_MIN_ALT_e1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_refl' 'h4/thm/rat/RAT_EQUIV_REF_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_1_r' 'h4/thm/HolSmt/r127_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_iff' 'h4/thm/integer/INT_MOD_CALCULATE_3'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_cancel_l' 'h4/thm/integer/INT_EQ_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_lt_mono_r' 'h4/thm/hreal/HRAT_LT_RADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_le_mono_l' 'h4/thm/real/REAL_LE_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_cancel_l' 'h4/thm/realax/HREAL_EQ_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_sub_le_add_r' 'h4/thm/real/REAL_LE_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_lteq' 'h4/thm/integer/INT_LE_CALCULATE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_refl' 'h4/thm/extreal/le_refl_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_l' 'h4/thm/arithmetic/LESS_MOD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_trichotomy' 'h4/thm/hreal/HRAT_LT_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sub_add_distr' 'h4/thm/logroot/EXP_MUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_le_mono' 'h4/thm/numeral/numeral_lt_3'
0. 'coq/Coq_PArith_BinPos_Pos_lt_nle' 'h4/thm/integer/INT_NOT_LT_'
0. 'coq/Coq_NArith_BinNat_N_log2_le_mono' 'h4/thm/numpair/tri_LT_I_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_compare_xO_xO' 'h4/thm/toto/num_dtOrd_e8'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_glb_lt' 'h4/thm/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_double_mul' 'h4/thm/integer/INT_NEG_LMUL_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_l2i_i2l'#@#variant 'h4/thm/string_num/s2n_n2s_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftl_1_l'#@#variant 'h4/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_ZArith_Znat_positive_nat_Z' 'h4/thm/complex/MODU_NUM_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_nonneg'#@#variant 'h4/thm/real/REAL_LE_MUL2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_succ_le_mono' 'h4/thm/numeral/numeral_lt_3'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_gcd_divide_r' 'h4/thm/real/REAL_MIN_LE2_'
0. 'coq/Coq_Reals_RIneq_Rnot_le_lt' 'h4/thm/integer/INT_LTE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_cancel_l' 'h4/thm/real/REAL_EQ_LMUL2_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lt_sub_lt_add_r' 'h4/thm/integer/INT_LT_ADD_SUB_'
0. 'coq/Coq_Init_Peano_le_0_n' 'h4/thm/integer/INT_DIVIDES_1_0'#@#variant
0. 'coq/Coq_ZArith_Zeven_Zeven_pred' 'h4/thm/transc/EXP_LT_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_lcm_l' 'h4/thm/hreal/HRAT_LT_ADDL_'
0. 'coq/Coq_ZArith_BinInt_Z_sgn_opp' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRL'
0. 'coq/Coq_NArith_BinNat_N_max_le_compat_l' 'h4/thm/real/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_pred_l' 'h4/thm/numpair/nfst_le_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_le_mono_r' 'h4/thm/arithmetic/LESS_MONO_ADD_EQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftr_div_pow2'#@#variant 'h4/thm/integer/INT_SUB_RNEG_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_le' 'h4/thm/integer/INT_LT_'
0. 'coq/Coq_Bool_Bool_andb_true_iff' 'h4/thm/gcd/GCD_EQ_0_'
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_divide/0' 'h4/thm/arithmetic/SUB_LESS_EQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftr_div_pow2'#@#variant 'h4/thm/HolSmt/r131_'#@#variant
0. 'coq/Coq_ZArith_Znat_Z_N_nat' 'h4/thm/hrat/hrat_sucint_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_lt_mono_l_iff' 'h4/thm/int_arith/INT_DIVIDES_LRMUL_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_nonneg_nonneg' 'h4/thm/arithmetic/LESS_MULT2_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_pred_l' 'h4/thm/numpair/nfst_le_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_le_mono_l' 'h4/thm/arithmetic/LT_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_irrefl' 'h4/thm/extreal/lt_refl_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_gt_cases' 'h4/thm/integer/INT_LET_TOTAL_'
0. 'coq/Coq_Reals_RIneq_Rge_antisym' 'h4/thm/arithmetic/LESS_EQUAL_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mod_1_r'#@#variant 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRL'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_glb_lt_iff' 'h4/thm/extreal/le_min_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_pred_l' 'h4/thm/numpair/nsnd_le_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_neq_0_succ' 'h4/thm/transc/EXP_NZ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_succ_diag_r' 'h4/thm/real/REAL_POS_INFLATE_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_lt_cancel' 'h4/thm/arithmetic/LESS_MONO_REV_'
0. 'coq/Coq_ZArith_BinInt_Z_gcd_eq_0_l' 'h4/thm/transc/RPOW_NZ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_1_r' 'h4/thm/real/REAL_ADD_RID_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_lt_mono_l' 'h4/thm/arithmetic/ADD_MONO_LESS_EQ_'
0. 'coq/Coq_Arith_PeanoNat_Nat_min_glb_lt' 'h4/thm/divides/DIVIDES_ADD_1_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_pos_neg'#@#variant 'h4/thm/extreal/mul_lte_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_max_lt_iff' 'h4/thm/real/REAL_LE_MAX_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_lt_iff' 'h4/thm/real/REAL_MIN_LE_'
0. 'coq/Coq_NArith_BinNat_N_add_le_mono_l' 'h4/thm/realax/HREAL_LT_LADD_'
0. 'coq/Coq_Reals_R_sqrt_sqrt_pos' 'h4/thm/integral/LT_0_'
0. 'coq/Coq_PArith_BinPos_Pos_le_nlt' 'h4/thm/arithmetic/NOT_LESS_'
0. 'coq/Coq_NArith_BinNat_N_sqrt_lt_lin' 'h4/thm/transc/LN_LT_X_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ldiff_land' 'h4/thm/integer/INT_SUB_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_add_cancel_r' 'h4/thm/poly/POLY_DIVIDES_SUB_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_nge' 'h4/thm/rat/RAT_LEQ_LES_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_le_compat_r' 'h4/thm/hrat/TRAT_ADD_WELLDEFINED_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lcm_diag' 'h4/thm/gcd/GCD_REF_'
0. 'coq/Coq_Bool_Bool_orb_true_iff' 'h4/thm/intExtension/INT_NO_ZERODIV_'#@#variant
0. 'coq/Coq_ZArith_Znat_Zabs2Nat_id' 'h4/thm/complex/RE_COMPLEX_OF_REAL_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_sqrt' 'h4/thm/quote/index_size_def_1'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zplus_gt_compat_r' 'h4/thm/hrat/TRAT_ADD_WELLDEFINED_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_glb_lt' 'h4/thm/divides/DIVIDES_SUB_'
0. 'coq/Coq_ZArith_Zcompare_Zcompare_succ_compat' 'h4/thm/toto/num_dtOrd_e8'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_1_mul_pos'#@#variant 'h4/thm/extreal/lte_add_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_max_l' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_lt_cancel' 'h4/thm/arithmetic/LESS_MONO_REV_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_0_r_nonneg'#@#variant 'h4/thm/transc/RPOW_1_'#@#variant
0. 'coq/Coq_QArith_Qminmax_Q_min_le_compat_l' 'h4/thm/integer/TINT_LT_ADD_'#@#variant
0. 'coq/Coq_Structures_OrderedTypeEx_N_as_OT_lt_not_eq' 'h4/thm/real/REAL_LT_IMP_NE_'
0. 'coq/Coq_Reals_RIneq_INR_IZR_INZ' 'h4/thm/ieee/Exponent_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_neg'#@#variant 'h4/thm/integer/INT_NEG_LT0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_1_l' 'h4/thm/HolSmt/r079_'
0. 'coq/Coq_PArith_BinPos_Pos_mul_le_mono_r' 'h4/thm/integer/INT_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_le_mono' 'h4/thm/extreal/le_neg_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_pos'#@#variant 'h4/thm/numeral/numeral_distrib_32'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_add_diag_r' 'h4/thm/realax/HREAL_LT_ADDL_'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_IsTO_le_lteq' 'h4/thm/integer/INT_LE_LT_'
0. 'coq/Coq_NArith_BinNat_N_log2_up_le_mono' 'h4/thm/numpair/tri_LT_I_'
0. 'coq/Coq_ZArith_Znat_positive_nat_N' 'h4/thm/complex/MODU_NUM_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_lt_le_mono' 'h4/thm/integer/INT_LTE_ADD2_'
0. 'coq/Coq_ZArith_Zeven_Zodd_plus_Zeven' 'h4/thm/extreal/lte_add_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lcm_1_r_nonneg'#@#variant 'h4/thm/transc/RPOW_1_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_neq_succ_0' 'h4/thm/integer/INT_ABS_LT0_'#@#variant
0. 'coq/Coq_Reals_AltSeries_PI_tg_pos'#@#variant 'h4/thm/extreal/le_num_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_trichotomy' 'h4/thm/real/REAL_LT_TOTAL_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_div2' 'h4/thm/quote/index_size_def_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_lub_iff' 'h4/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_NArith_BinNat_N_lt_ge_cases' 'h4/thm/arithmetic/LESS_CASES_'
0. 'coq/Coq_ZArith_BinInt_Z_double_spec'#@#variant 'h4/thm/real/REAL_NEG_MINUS1_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_pos_nonneg'#@#variant 'h4/thm/extreal/lte_add_'#@#variant
0. 'coq/Coq_ZArith_Zpower_two_p_equiv'#@#variant 'h4/thm/real/REAL_INV_1OVER_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_le_mono_r' 'h4/thm/arithmetic/LT_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mod_1_l'#@#variant 'h4/thm/arithmetic/ZERO_MOD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_pos_cancel_l'#@#variant 'h4/thm/real/REAL_LT_LMUL_0_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lor_diag' 'h4/thm/gcd/GCD_REF_'
0. 'coq/Coq_Reals_ROrderedType_ROrder_TO_lt_total' 'h4/thm/rat/RAT_LES_TOTAL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_pos_le' 'h4/thm/divides/DIVIDES_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_pos_pos' 'h4/thm/arithmetic/LESS_MULT2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_le_mono_nonneg_l'#@#variant 'h4/thm/logroot/ROOT_LE_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lor_diag' 'h4/thm/real/REAL_MIN_REFL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_quot_1_r' 'h4/thm/integer/INT_ADD_REDUCE_1'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sub_add' 'h4/thm/arithmetic/SUB_ADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_le_lin' 'h4/thm/numpair/nsnd_le_'
0. 'coq/Coq_ZArith_Znat_Zabs2N_id' 'h4/thm/frac/frac_tybij_0'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_add_r' 'h4/thm/extreal/le_max1_'
0. 'coq/Coq_ZArith_BinInt_Z_gcd_divide_r' 'h4/thm/extreal/min_le2_'
0. 'coq/Coq_Reals_RIneq_Rge_or_gt' 'h4/thm/integer/INT_LTE_TOTAL_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_opp_norm' 'h4/thm/extreal/sqrt_pos_le_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_le_max_l' 'h4/thm/integer/INT_DIVIDES_MUL_0'
0. 'coq/Coq_ZArith_Znat_Z_nat_N' 'h4/thm/extreal/extreal_of_num_def_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_id' 'h4/thm/extreal/max_refl_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_refl' 'h4/thm/rat/RAT_LEQ_REF_'
0. 'coq/Coq_omega_OmegaLemmas_Zred_factor2'#@#variant 'h4/thm/arithmetic/MULT_SUC_'
0. 'coq/Coq_ZArith_Znat_Zabs2N_id' 'h4/thm/num/num_ISO_DEF_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_inj_wd' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_involutive' 'h4/thm/real/REAL_NEGNEG_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_cancel_l' 'h4/thm/rat/RAT_EQ_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_eq_cases' 'h4/thm/arithmetic/LESS_OR_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_Even_succ' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRL'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lxor_m1_l'#@#variant 'h4/thm/HolSmt/r129_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_odd_opp' 'h4/thm/complex/MODU_NEG_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_le_refl' 'h4/thm/integer/INT_LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_le_compat_r' 'h4/thm/arithmetic/LESS_MONO_MULT_'
0. 'coq/Coq_NArith_BinNat_N_shiftr_div_pow2'#@#variant 'h4/thm/complex/complex_sub_'#@#variant
0. 'coq/Coq_Init_Datatypes_CompOpp_involutive' 'h4/thm/integer/INT_NEGNEG_'
0. 'coq/Coq_Reals_Rtrigo1_cos_3PI2'#@#variant 'h4/thm/util_prob/HALF_CANCEL_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_pos' 'h4/thm/rat/rat_sgn_def_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_neq_succ_0' 'h4/thm/toto/num_dt_distinct_1'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_1' 'h4/thm/integer/INT_NEG_0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_quot_pos'#@#variant 'h4/thm/util_prob/REAL_LE_LT_MUL_'#@#variant
0. 'coq/Coq_Reals_Rfunctions_R_dist_eq' 'h4/thm/integer/INT_SUB_REFL_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_nle_succ_0' 'h4/thm/arithmetic/NOT_SUC_LESS_EQ_0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_lt_mono' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_eq_cases' 'h4/thm/string/string_le_def_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_opp_r' 'h4/thm/HolSmt/r224_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_asymm' 'h4/thm/real/REAL_LT_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_lt_mono_neg_r' 'h4/thm/rat/RAT_LES_RMUL_NEG_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_move_r' 'h4/thm/integer/INT_EQ_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_shuffle3' 'h4/thm/HolSmt/r220_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_le_mono' 'h4/thm/numpair/tri_LT_I_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_add_r' 'h4/thm/realax/HREAL_LT_ADDL_'
0. 'coq/Coq_Reals_Rbasic_fun_Rmax_Rle' 'h4/thm/extreal/le_max_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_setbit_spec_prime'#@#variant 'h4/thm/real/REAL_SUB_RNEG_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_ge_cases' 'h4/thm/real/REAL_LET_TOTAL_'
0. 'coq/Coq_NArith_BinNat_N_log2_up_nonneg' 'h4/thm/transc/ATN_BOUNDS_0'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_Ropp' 'h4/thm/real/ABS_NEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_ngt' 'h4/thm/rat/RAT_LEQ_LES_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_le_mono_pos_l'#@#variant 'h4/thm/int_arith/justify_divides_'#@#variant
0. 'coq/Coq_Reals_RIneq_Ropp_Ropp_IZR' 'h4/thm/extreal/extreal_abs_def_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_1_l'#@#variant 'h4/thm/integral/LE_0_'
0. 'coq/Coq_ZArith_Znat_positive_N_Z' 'h4/thm/extreal/extreal_of_num_def_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lnot_0_l' 'h4/thm/HolSmt/r221_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_pos_pos' 'h4/thm/arithmetic/LESS_MULT2_'
0. 'coq/Coq_QArith_Qabs_Qabs_wd' 'h4/thm/prim_rec/LESS_MONO_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_lub_lt_iff' 'h4/thm/util_prob/MAX_LE_X_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_succ_r' 'h4/thm/rat/RAT_AINV_RMUL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_factor_l' 'h4/thm/realax/HREAL_LT_ADDL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_lt_mono_pos_l'#@#variant 'h4/thm/logroot/LT_EXP_ISO_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_odd_1' 'h4/thm/ieee/Minus_zero_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sub_0_le' 'h4/thm/arithmetic/SUB_EQ_0_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_land_diag' 'h4/thm/real/REAL_MAX_REFL_'
0. 'coq/Coq_Reals_RIneq_Rge_refl' 'h4/thm/real/REAL_LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_antisym' 'h4/thm/divides/DIVIDES_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_Even_succ' 'h4/thm/binary_ieee/exp_ge2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_succ_l' 'h4/thm/arithmetic/ADD_CLAUSES_2'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_1_succ' 'h4/thm/arithmetic/FACT_LESS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ldiff_land' 'h4/thm/HolSmt/r224_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_le_mono' 'h4/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_max_l' 'h4/thm/hreal/HRAT_LT_ADDL_'
0. 'coq/Coq_ZArith_BinInt_Z_ge_le_iff' 'h4/thm/string/string_ge_def_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_cancel_l' 'h4/thm/hreal/HRAT_EQ_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_succ_l' 'h4/thm/prim_rec/SUC_LESS_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_neq' 'h4/thm/integer/INT_LT_IMP_NE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_le_mono_r' 'h4/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_cancel_l' 'h4/thm/hreal/HRAT_EQ_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_le_compat_r' 'h4/thm/arithmetic/LESS_MONO_ADD_'
0. 'coq/Coq_ZArith_BinInt_Z_max_lub_iff' 'h4/thm/extreal/max_le_'
0. 'coq/Coq_ZArith_BinInt_Z_add_succ_r' 'h4/thm/real/REAL_MUL_RNEG_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_of_Qc' 'h4/thm/ieee/float_tybij_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_opp_r' 'h4/thm/arithmetic/ADD_SUC_'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_one_neq_zero' 'h4/thm/prelim/ordering_distinct_e2'
0. 'coq/Coq_fourier_Fourier_util_Rfourier_lt'#@#variant 'h4/thm/extreal/le_lmul_imp_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_lt_iff' 'h4/thm/arithmetic/MIN_LE_0'
0. 'coq/Coq_Reals_RIneq_Rlt_le_trans' 'h4/thm/real/REAL_LTE_TRANS_'
0. 'coq/Coq_QArith_QArith_base_Qmult_lt_l'#@#variant 'h4/thm/logroot/LT_EXP_ISO_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_min_l' 'h4/thm/arithmetic/LESS_MOD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_lt_mono_pos_l'#@#variant 'h4/thm/transc/RPOW_LT_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_max_le_compat_r' 'h4/thm/integer/TINT_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pred_succ' 'h4/thm/transc/ATN_e2'
0. 'coq/Coq_QArith_QArith_base_Qlt_irrefl' 'h4/thm/realax/TREAL_LT_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_lcm_r' 'h4/thm/hreal/HRAT_LT_ADDR_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_add_lt_sub_r' 'h4/thm/real/REAL_LE_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_0_l_prime' 'h4/thm/integer/INT_MOD0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div_1_r' 'h4/thm/HolSmt/r127_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_id' 'h4/thm/ieee/float_tybij_0'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_succ'#@#variant 'h4/thm/real/REAL_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_sgn' 'h4/thm/extreal/extreal_ainv_def_e2'
0. 'coq/Coq_ZArith_BinInt_Z_add_opp_r' 'h4/thm/real/REAL_SUB_RNEG_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_le_mono_r' 'h4/thm/arithmetic/LT_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_sub_le_add_r' 'h4/thm/real/REAL_LT_SUB_RADD_'
0. 'coq/Coq_Reals_R_sqr_Rsqr_eq_0' 'h4/thm/real/REAL_INV_NZ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_square_spec' 'h4/thm/real/REAL_DOUBLE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_lt_mono_pos_r' 'h4/thm/logroot/EXP_LT_ISO_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_le_compat_l' 'h4/thm/realax/REAL_LT_IADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_1_l'#@#variant 'h4/thm/HolSmt/r221_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mod_1_r'#@#variant 'h4/thm/numeral/numeral_exp_0'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_le_mono_r' 'h4/thm/hreal/HRAT_LT_RADD_'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_E_bits_lt_antirefl' 'h4/thm/rat/RAT_LES_REF_'
0. 'coq/Coq_PArith_BinPos_Pos_mul_lt_mono_r' 'h4/thm/real/REAL_LE_SUB_CANCEL2_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_ldiff_diag' 'h4/thm/rat/RAT_SUB_ID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_succ_diag_r' 'h4/thm/arithmetic/LESS_EQ_SUC_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_pos_neg'#@#variant 'h4/thm/extreal/mul_lt_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_divide' 'h4/thm/integer/INT_LT_CALCULATE_0'
0. 'coq/Coq_NArith_BinNat_N_le_sub_le_add_l' 'h4/thm/arithmetic/SUB_RIGHT_GREATER_'
0. 'coq/Coq_fourier_Fourier_util_Rlt_zero_pos_plus1'#@#variant 'h4/thm/real/REAL_INV_POS_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_pos'#@#variant 'h4/thm/transc/EXP_LT_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lnot_0_l' 'h4/thm/numeral/numeral_texp_help_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_succ_r' 'h4/thm/arithmetic/LE_e1'
0. 'coq/Coq_ZArith_BinInt_Z_sub_le_mono_r' 'h4/thm/rat/RAT_LES_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pred_sub'#@#variant 'h4/thm/arithmetic/DIV2_def_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lt_eq_cases' 'h4/thm/integral/LE_LT_'
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_Zabs' 'h4/thm/extreal/extreal_sqrt_def_0'
0. 'coq/Coq_ZArith_BinInt_Z_opp_inj_wd' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_trichotomy' 'h4/thm/extreal/lt_total_'
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_factor_l' 'h4/thm/arithmetic/LESS_EQ_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_nonneg_nonpos'#@#variant 'h4/thm/real/REAL_NEG_GE0_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_inj_wd' 'h4/thm/toto/num_dt_11_0'
0. 'coq/Coq_ZArith_BinInt_Z_rem_rem' 'h4/thm/integer/INT_MOD_MOD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_lteq' 'h4/thm/integral/LE_LT_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_succ_inj' 'h4/thm/divides/PRIMES_11_'
0. 'coq/Coq_Reals_Ratan_Datan_seq_pos'#@#variant 'h4/thm/real/POW_POS_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_succ_lt_mono' 'h4/thm/arithmetic/LESS_EQ_MONO_'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_pred' 'h4/thm/extreal/extreal_inv_def_e2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lxor_nilpotent' 'h4/thm/rat/RAT_SUB_ID_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_compare_xI_xI' 'h4/thm/toto/qk_numeralOrd_5'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_abs' 'h4/thm/extreal/extreal_sqrt_def_0'
0. 'coq/Coq_NArith_BinNat_N_add_nonneg_pos'#@#variant 'h4/thm/integer/INT_LET_ADD_'#@#variant
0. 'coq/Coq_Arith_Lt_lt_not_le' 'h4/thm/real/REAL_LTE_ANTSYM_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_nlt_ge' 'h4/thm/real/real_lte_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sub_le_mono_r' 'h4/thm/extreal/le_radd_imp_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_nge' 'h4/thm/HolSmt/r115_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_lt_trans' 'h4/thm/extreal/let_trans_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_max_r' 'h4/thm/extreal/le_max2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_nle_gt' 'h4/thm/rat/RAT_LES_LEQ_'
0. 'coq/Coq_NArith_Ndist_ni_min_O_l' 'h4/thm/extreal/mul_lzero_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_compare_xI_xI' 'h4/thm/toto/numeralOrd_6'
0. 'coq/Coq_ZArith_Zquot_Zquot_opp_r' 'h4/thm/real/REAL_MUL_RNEG_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_divide_mono_l' 'h4/thm/realax/TREAL_LT_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_0_l' 'h4/thm/integral/LE_0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div_1_r' 'h4/thm/real/REAL_ADD_RID_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_divide_mono_l' 'h4/thm/real/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_succ' 'h4/thm/numeral_bit/numeral_ilog2_e2'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lcm_least' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_e2'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_le_mono' 'h4/thm/integer/TINT_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_nle' 'h4/thm/rat/RAT_LEQ_LES_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_nlt_ge' 'h4/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_neg_neg' 'h4/thm/intExtension/INT_LT_ADD_NEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_lt_cancel' 'h4/thm/arithmetic/LESS_MONO_REV_'
0. 'coq/Coq_NArith_BinNat_N_lt_asymm' 'h4/thm/arithmetic/LESS_ANTISYM_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_0_l' 'h4/thm/integer/INT_REM0_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_log2_up_le_mono' 'h4/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_min_le_compat_r' 'h4/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_antisymm' 'h4/thm/arithmetic/LESS_EQUAL_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_1' 'h4/thm/real/REAL_ABS_0_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_setbit_spec_prime'#@#variant 'h4/thm/extreal/sub_rneg_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_refl' 'h4/thm/poly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_le_compat_r' 'h4/thm/integer/TINT_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qplus_inj_r' 'h4/thm/real/REAL_LE_SUB_CANCEL2_'
0. 'coq/Coq_Arith_PeanoNat_Nat_Odd_succ' 'h4/thm/binary_ieee/exp_gt2_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_divide_iff' 'h4/thm/arithmetic/MIN_LE_e1'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftl_mul_pow2'#@#variant 'h4/thm/rat/RAT_SUB_ADDAINV_'
0. 'coq/Coq_Bool_Bool_diff_false_true' 'h4/thm/ieee/roundmode_distinct_2'
0. 'coq/Coq_Arith_PeanoNat_Nat_nle_gt' 'h4/thm/rat/RAT_LEQ_LES_'
0. 'coq/Coq_PArith_BinPos_Pcompare_eq_Gt' 'h4/thm/quote/index_lt_def_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_le_mono' 'h4/thm/prim_rec/LESS_MONO_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_double_mul' 'h4/thm/real/REAL_MUL_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lcm_1_r' 'h4/thm/HolSmt/r080_'
0. 'coq/Coq_Reals_Rminmax_R_max_le_compat_r' 'h4/thm/hrat/TRAT_ADD_WELLDEFINED_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_succ_le_mono' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_square_spec' 'h4/thm/numeral/iDUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_diag' 'h4/thm/arithmetic/TIMES2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_ldiff_diag' 'h4/thm/arithmetic/ABS_DIFF_EQS_'
0. 'coq/Coq_PArith_BinPos_Pos_lt_lt_succ' 'h4/thm/prim_rec/LESS_SUC_'
0. 'coq/Coq_Reals_Rtrigo1_sin_lb_gt_0'#@#variant 'h4/thm/transc/COS_POS_PI2_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_lt_succ_diag_r' 'h4/thm/bit/BIT_B_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_double_spec'#@#variant 'h4/thm/integer/INT_NEG_MINUS1_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_max_le_compat_l' 'h4/thm/realax/REAL_LT_IADD_'
0. 'coq/Coq_PArith_BinPos_Pos_add_succ_l' 'h4/thm/arithmetic/PRE_SUB_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_nonneg' 'h4/thm/arithmetic/FACT_LESS_'
0. 'coq/Coq_Reals_Rminmax_R_min_glb_lt' 'h4/thm/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_of_Qc_bis' 'h4/thm/float/twogz_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_succ_le_mono' 'h4/thm/integerRing/int_rewrites_tLRRRLRRR'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_trichotomy' 'h4/thm/realax/REAL_LT_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_lxor_r' 'h4/thm/frac/FRAC_AINV_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_rem_0_l' 'h4/thm/integer/INT_QUOT_0_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sub_min_distr_l' 'h4/thm/arithmetic/EXP_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_neg_pos_cases'#@#variant 'h4/thm/intExtension/INT_NE_IMP_LTGT_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_ge_cases' 'h4/thm/extreal/le_total_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_xO'#@#variant 'h4/thm/quote/index_size_def_1'#@#variant
0. 'coq/Coq_Arith_Gt_gt_n_S' 'h4/thm/hrat/TRAT_INV_WELLDEFINED_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_asymm' 'h4/thm/real/REAL_LT_ANTISYM_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_opp' 'h4/thm/complex/COMPLEX_OF_REAL_NEG_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_opp_l' 'h4/thm/complex/COMPLEX_NEG_LMUL_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_irrefl' 'h4/thm/integer/INT_LT_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_sub_le_add_r' 'h4/thm/integer/INT_LE_SUB_RADD_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_le_mono_nonneg_r'#@#variant 'h4/thm/real/REAL_LT_RMUL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_succ_r' 'h4/thm/float/LT_SUC_LE_'
0. 'coq/Coq_QArith_Qcanon_Qcmult_integral'#@#variant 'h4/thm/intExtension/INT_NOT0_MUL_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_le_mono' 'h4/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lcm_1_r' 'h4/thm/integer/INT_ADD_REDUCE_1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_negb_odd' 'h4/thm/frac/frac_sgn_def_'
0. 'coq/Coq_ZArith_BinInt_Z_ge_le_iff' 'h4/thm/integer/int_ge_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_null_iff' 'h4/thm/intExtension/INT_SGN_CLAUSES_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_trichotomy' 'h4/thm/hreal/HREAL_LT_TOTAL_'
0. 'coq/Coq_ZArith_BinInt_Zopp_mult_distr_r' 'h4/thm/integer/INT_MUL_CALCULATE_2'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lor_diag' 'h4/thm/gcd/GCD_REF_'
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_nonneg' 'h4/thm/transc/ATN_BOUNDS_0'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_ge_le_iff' 'h4/thm/integer/INT_GE_CALCULATE_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lnot_ones' 'h4/thm/realax/TREAL_ADD_LINV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lxor_nilpotent' 'h4/thm/rat/RAT_SUB_ID_'#@#variant
0. 'coq/Coq_NArith_Nnat_N2Nat_id' 'h4/thm/rat/RAT_'
0. 'coq/Coq_Reals_Rpower_arcsinh_lt' 'h4/thm/numpair/tri_LT_I_'
0. 'coq/Coq_Reals_RIneq_Rlt_not_eq' 'h4/thm/extreal/lt_imp_ne_'
0. 'coq/Coq_ZArith_BinInt_Z2Pos_inj_sqrt' 'h4/thm/toto/num_dt_size_def_1'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_id' 'h4/thm/real/REAL_MAX_REFL_'
0. 'coq/Coq_Reals_Ratan_pos_opp_lt'#@#variant 'h4/thm/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sub_pred_l' 'h4/thm/arithmetic/PRE_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_pos_r'#@#variant 'h4/thm/intExtension/INT_GT_RMUL_EXP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_eq_cases' 'h4/thm/string/string_le_def_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div2_succ_double' 'h4/thm/string/IMPLODE_EXPLODE_'#@#variant
0. 'coq/Coq_QArith_Qround_Qceiling_Z' 'h4/thm/string/char_BIJ_0'
0. 'coq/Coq_Structures_OrdersEx_PositiveOrderedTypeBits_bits_lt_antirefl' 'h4/thm/real/REAL_LT_REFL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_asymm' 'h4/thm/arithmetic/LESS_ANTISYM_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_refl' 'h4/thm/integer/INT_LE_REFL_'
0. 'coq/Coq_QArith_Qminmax_Q_min_le_compat_l' 'h4/thm/real/REAL_LT_IADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_le_mono' 'h4/thm/integerRing/int_rewrites_tRRRRRRLRRRR'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_lt_mono_r_iff'#@#variant 'h4/thm/arithmetic/EXP_BASE_LT_MONO_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_eq_iff'#@#variant 'h4/thm/real/ABS_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_pos_l'#@#variant 'h4/thm/int_arith/lt_justify_multiplication_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_le_mono' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_eq_le_incl' 'h4/thm/integer/TINT_EQ_AP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_move_r' 'h4/thm/rat/RAT_RSUB_EQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_1_r' 'h4/thm/extreal/add_rzero_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_lteq' 'h4/thm/real/REAL_LE_LT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_lt_mono_r_iff' 'h4/thm/integer/INT_LT_MONO_'
0. 'coq/Coq_Reals_RIneq_Ropp_mult_distr_r_reverse' 'h4/thm/frac/FRAC_AINV_RMUL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_divide_cancel_r' 'h4/thm/int_arith/INT_DIVIDES_LRMUL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lnot_involutive' 'h4/thm/real/REAL_INV_INV_'
0. 'coq/Coq_QArith_QArith_base_Zle_Qle' 'h4/thm/real/lt_int_0'
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_Rinv' 'h4/thm/rat/RAT_AINV_MINV_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_div2_succ_double' 'h4/thm/prim_rec/PRE_e1'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_sub_max'#@#variant 'h4/thm/DeepSyntax/deep_form_size_def_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_le_mono_r' 'h4/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_div2' 'h4/thm/DeepSyntax/deep_form_size_def_2'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_le_ngt' 'h4/thm/HolSmt/r115_'
0. 'coq/Coq_ZArith_Znat_Z2N_inj_pos' 'h4/thm/extreal/extreal_of_num_def_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_r' 'h4/thm/hrat/TRAT_MUL_WELLDEFINED_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_shiftr_div_pow2'#@#variant 'h4/thm/real/real_div_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_0_r' 'h4/thm/integer/INT_DIVIDES_0_0'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_succ' 'h4/thm/extreal/extreal_abs_def_0'
0. 'coq/Coq_Arith_Mult_mult_le_compat_r' 'h4/thm/arithmetic/LESS_MONO_ADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_ltb_lt' 'h4/thm/quote/index_lt_def_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_sub_add' 'h4/thm/arithmetic/SUB_ADD_'
0. 'coq/Coq_ZArith_BinInt_Z_abs_0_iff' 'h4/thm/numpair/tri_eq_0_e1'
0. 'coq/Coq_ZArith_BinInt_Z_add_add_simpl_r_r' 'h4/thm/arithmetic/ABS_DIFF_ADD_SAME_'
0. 'coq/Coq_PArith_BinPos_Pos_le_min_l' 'h4/thm/real/REAL_MIN_LE1_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_nonneg_r'#@#variant 'h4/thm/real/REAL_LT_RMUL_IMP_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zgt_succ' 'h4/thm/numpair/nfst_le_'
0. 'coq/Coq_ZArith_Znat_Z2N_inj_quot2' 'h4/thm/extreal/extreal_sqrt_def_0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pos_pred_succ' 'h4/thm/ieee/roundmode_BIJ_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_le_mono_r' 'h4/thm/arithmetic/LT_ADD_RCANCEL_'
0. 'coq/Coq_NArith_BinNat_N_shiftr_div_pow2'#@#variant 'h4/thm/real/real_sub_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_trichotomy' 'h4/thm/hreal/HRAT_LT_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sub_add_distr' 'h4/thm/logroot/EXP_MUL_'
0. 'coq/Coq_Reals_RIneq_Rplus_le_le_0_compat' 'h4/thm/arithmetic/LESS_MULT2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_pred_r' 'h4/thm/integer/INT_NEG_RMUL_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_cancel_l' 'h4/thm/realax/HREAL_EQ_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_lt_mono_r' 'h4/thm/hreal/HRAT_LT_RMUL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_succ_le_mono' 'h4/thm/numpair/tri_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_divide_mono_r' 'h4/thm/integer/TINT_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_succ_le_mono' 'h4/thm/numeral/numeral_distrib_28'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_succ' 'h4/thm/numRing/num_rewrites_tLRLRRR'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pos_pred_succ' 'h4/thm/string_num/s2n_n2s_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_succ_le_mono' 'h4/thm/numeral/numeral_lte_e6'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_le_mono' 'h4/thm/real/REAL_POS_MONO_'
0. 'coq/Coq_ZArith_BinInt_Z_add_move_l' 'h4/thm/rat/RAT_LSUB_EQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_odd_1' 'h4/thm/ieee/Minus_zero_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pred_succ' 'h4/thm/transc/LN_EXP_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_pos_l'#@#variant 'h4/thm/transc/RPOW_POS_LT_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_le_ngt' 'h4/thm/HolSmt/r096_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_le_mono' 'h4/thm/arithmetic/LESS_EQ_MONO_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div2_succ_double' 'h4/thm/numRing/num_rewrites_tLLRRRR'#@#variant
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_pred' 'h4/thm/quote/index_size_def_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lcm_1_r' 'h4/thm/integer/INT_SUB_RZERO_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ldiff_m1_r'#@#variant 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRL'#@#variant
0. 'coq/Coq_Init_Datatypes_CompOpp_involutive' 'h4/thm/complex/COMPLEX_INV_INV_'#@#variant
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_IsTO_le_lteq' 'h4/thm/rat/rat_leq_def_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftr_div_pow2'#@#variant 'h4/thm/extreal/extreal_div_def_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_add_r' 'h4/thm/extreal/le_max1_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_lt_mono_r'#@#variant 'h4/thm/real/REAL_LE_LMUL_IMP_'#@#variant
0. 'coq/Coq_ZArith_Zquot_Zquot_opp_r' 'h4/thm/frac/FRAC_AINV_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_1_l'#@#variant 'h4/thm/rat/RAT_SUB_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_m1_0' 'h4/thm/extreal/thirds_between_tRLL'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div_small' 'h4/thm/arithmetic/LESS_DIV_EQ_ZERO_'
0. 'coq/Coq_ZArith_BinInt_Z_opp_lt_mono' 'h4/thm/integer/INT_LE_NEG_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_eq_0' 'h4/thm/integer/INT_ENTIRE_'#@#variant
0. 'coq/Coq_Reals_Ratan_atan_opp' 'h4/thm/transc/TAN_NEG_'
0. 'coq/Coq_QArith_Qround_Qceiling_Z' 'h4/thm/string_num/n2s_s2n_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_max_distr' 'h4/thm/transc/EXP_ADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_succ_le_mono' 'h4/thm/numeral/numeral_lt_4'
0. 'coq/Coq_NArith_BinNat_N_shiftl_1_l'#@#variant 'h4/thm/HolSmt/r129_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_1_l' 'h4/thm/integer/INT_ADD_CALCULATE_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_id' 'h4/thm/extreal/max_refl_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_pos_pos' 'h4/thm/integer/TINT_LT_MUL_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_lt_mono_pos_r'#@#variant 'h4/thm/real/REAL_LT_RMUL_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_pred_succ' 'h4/thm/bit/LOG2_TWOEXP_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_lub_lt_iff' 'h4/thm/util_prob/MAX_LE_X_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_lt' 'h4/thm/integer/int_lt_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_lt_mono_l' 'h4/thm/arithmetic/LT_ADD_LCANCEL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_pred' 'h4/thm/numRing/num_rewrites_tLRLRRRRRR'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_lt' 'h4/thm/realax/real_lt_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftl_opp_r' 'h4/thm/integer/INT_SUB_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftr_opp_r' 'h4/thm/extreal/extreal_sub_add_'
0. 'coq/Coq_ZArith_Znumtheory_Zdivide_opp_l_rev' 'h4/thm/prim_rec/SUC_LESS_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_irrefl' 'h4/thm/realax/REAL_LT_REFL_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_id' 'h4/thm/patricia_casts/num_to_string_string_to_num_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lnot_ones' 'h4/thm/rat/RAT_ADD_LINV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_involutive' 'h4/thm/real/ABS_ABS_'
0. 'coq/Coq_Reals_Rpower_arcsinh_le' 'h4/thm/numpair/tri_LT_I_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_ge_le_iff' 'h4/thm/string/string_gt_def_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_0_r'#@#variant 'h4/thm/arithmetic/EXP_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_divide_mono_r' 'h4/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pow_le_mono_r_iff'#@#variant 'h4/thm/int_arith/justify_divides_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lcm_diag' 'h4/thm/real/REAL_DOUBLE_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_setbit_spec_prime'#@#variant 'h4/thm/rat/RAT_DIV_MULMINV_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_1_r' 'h4/thm/rat/RAT_ADD_RID_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_glb_lt_iff' 'h4/thm/integral/REAL_LT_MIN_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_succ_l' 'h4/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_1_mul_pos'#@#variant 'h4/thm/util_prob/REAL_LE_LT_MUL_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_nlt_ge' 'h4/thm/integer/INT_NOT_LT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_le_mono' 'h4/thm/transc/EXP_MONO_IMP_'
0. 'coq/Coq_NArith_BinNat_N_lt_le_trans' 'h4/thm/real/REAL_LTE_TRANS_'
0. 'coq/Coq_ZArith_Zeven_Zeven_not_Zodd' 'h4/thm/float/FLOAT_DISTINCT_2'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_abs_l' 'h4/thm/integer/INT_DIVIDES_NEG_e1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_opp_diag_r' 'h4/thm/real/REAL_ADD_RINV_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rge_refl' 'h4/thm/rat/RAT_LEQ_REF_'
0. 'coq/Coq_PArith_BinPos_Pos_min_glb_lt' 'h4/thm/divides/DIVIDES_SUB_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_le_compat_r' 'h4/thm/arithmetic/LESS_MONO_MULT_'
0. 'coq/Coq_Numbers_Cyclic_DoubleCyclic_DoubleBase_wB_pos'#@#variant 'h4/thm/extreal/le_num_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_le_mono_pos_r'#@#variant 'h4/thm/logroot/EXP_LT_ISO_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_abs_opp' 'h4/thm/transc/COS_NEG_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_opp_diag_l' 'h4/thm/real/REAL_ADD_LINV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_nonneg' 'h4/thm/transc/ATN_BOUNDS_0'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_succ' 'h4/thm/numRing/num_rewrites_tRRLRRR'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_negb_even' 'h4/thm/ratRing/rat_ring_thms_e17'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ge_le_iff' 'h4/thm/real/real_gt_'
0. 'coq/Coq_MMaps_MMapPositive_PositiveMap_E_bits_lt_antirefl' 'h4/thm/extreal/lt_refl_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_max_l' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_0'
0. 'coq/Coq_ZArith_Znumtheory_not_prime_1'#@#variant 'h4/thm/float/ZERO_NOT_NAN_e1'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_le_mono_r_iff'#@#variant 'h4/thm/logroot/LE_EXP_ISO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_id' 'h4/thm/extreal/max_refl_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_le_mono_l' 'h4/thm/hreal/HRAT_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_le_mono' 'h4/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_succ_le_mono' 'h4/thm/transc/EXP_MONO_LT_'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_lt_mono'#@#variant 'h4/thm/real/REAL_LE_MUL2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_le_mono_l' 'h4/thm/integer/LT_LADD_'
0. 'coq/Coq_QArith_Qreals_Q2R_opp' 'h4/thm/extreal/extreal_exp_def_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_clearbit_spec_prime'#@#variant 'h4/thm/frac/frac_div_def_'
0. 'coq/Coq_Arith_Gt_gt_Sn_n' 'h4/thm/numpair/nsnd_le_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_le_mono_r' 'h4/thm/arithmetic/LESS_EQ_MONO_ADD_EQ_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_nonneg' 'h4/thm/arithmetic/FACT_LESS_'
0. 'coq/Coq_Reals_Exp_prop_div2_double'#@#variant 'h4/thm/string/IMPLODE_EXPLODE_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_lt_lin'#@#variant 'h4/thm/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_add_pos_r'#@#variant 'h4/thm/arithmetic/X_LE_X_EXP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_le_mono' 'h4/thm/numpair/tri_LT_I_'
0. 'coq/Coq_ZArith_Znat_nat_N_Z' 'h4/thm/rat/RAT_SGN_CALCULATE_'
0. 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_ge_le_iff' 'h4/thm/integer/INT_GE_CALCULATE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_pos_l'#@#variant 'h4/thm/integer/INT_LE_MONO_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_pred_lt_mono' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_le_compat_r' 'h4/thm/arithmetic/LESS_MONO_MULT_'
0. 'coq/Coq_QArith_Qcanon_Qred_involutive' 'h4/thm/real/ABS_ABS_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Ring31_Int31ring_add_comm'#@#variant 'h4/thm/hrat/TRAT_ADD_SYM_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_succ_inj_wd' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_succ_l' 'h4/thm/arithmetic/MULT_CLAUSES_4'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_cancel_l' 'h4/thm/hreal/HRAT_EQ_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_refl' 'h4/thm/hrat/TRAT_EQ_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_nge' 'h4/thm/real/real_lte_'
0. 'coq/Coq_ZArith_Znat_Z2N_inj_neg' 'h4/thm/extreal/extreal_size_def_e2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_lor' 'h4/thm/complex/COMPLEX_EXP_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_ngt' 'h4/thm/rat/RAT_LEQ_LES_'
0. 'coq/__constr_Coq_Sorting_Permutation_Permutation_0_4' 'h4/thm/rich_list/IS_PREFIX_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_le_mono_l' 'h4/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_alt_dichotomy' 'h4/thm/real/REAL_LE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_nlt_ge' 'h4/thm/integer/INT_NOT_LE_'
0. 'coq/Coq_QArith_Qreals_Q2R_opp' 'h4/thm/DeepSyntax/deep_form_size_def_2'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_add_cancel_l' 'h4/thm/integer/INT_EQ_LADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_add_lt_sub_r' 'h4/thm/real/REAL_LT_SUB_RADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_le_mono_l_iff' 'h4/thm/int_arith/INT_DIVIDES_LRMUL_'#@#variant
0. 'coq/Coq_Numbers_BigNumPrelude_Zlt0_not_eq'#@#variant 'h4/thm/integer/INT_POS_NZ_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_sin_lb_gt_0'#@#variant 'h4/thm/transc/SIN_POS_PI2_'#@#variant
0. 'coq/Coq_Arith_Plus_plus_lt_compat_l' 'h4/thm/integer/TINT_LT_ADD_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_gt' 'h4/thm/integer/INT_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_divide_mono_r' 'h4/thm/hrat/TRAT_MUL_WELLDEFINED_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_max_id' 'h4/thm/extreal/min_refl_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_nonneg_pos'#@#variant 'h4/thm/real/REAL_LET_ADD_'#@#variant
0. 'coq/Coq_Reals_SeqProp_CV_plus' 'h4/thm/seq/SER_ADD_'
0. 'coq/Coq_ZArith_BinInt_Z_le_add_le_sub_r' 'h4/thm/arithmetic/SUB_LEFT_LESS_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_le' 'h4/thm/integer/int_lt_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_power_norm' 'h4/thm/extreal/pow_pos_lt_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_le_mono' 'h4/thm/arithmetic/LESS_EQ_MONO_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_pos_r'#@#variant 'h4/thm/intExtension/INT_LT_RMUL_EXP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_lt_mono_l' 'h4/thm/integer/INT_LT_LADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_lxor_r' 'h4/thm/real/REAL_MUL_RNEG_'
0. 'coq/Coq_ZArith_Zorder_Zsucc_le_compat' 'h4/thm/numpair/tri_LT_I_'
0. 'coq/Coq_Reals_Rpower_Rpower_mult' 'h4/thm/arithmetic/SUB_RIGHT_SUB_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_le' 'h4/thm/realax/real_lt_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_succ_lt_mono' 'h4/thm/integerRing/int_rewrites_tLRRRLRRR'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_inj' 'h4/thm/divides/PRIMES_11_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_sqrt' 'h4/thm/extreal/extreal_ainv_def_e2'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_le_mono_r_iff'#@#variant 'h4/thm/rat/RAT_LES_LMUL_POS_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_pred_l' 'h4/thm/integer/INT_MUL_CALCULATE_1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_total' 'h4/thm/arithmetic/LESS_LESS_CASES_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_ge_le_iff' 'h4/thm/integer/int_gt_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_incr_twice' 'h4/thm/numeral/numeral_pre_e4'
0. 'coq/Coq_Init_Datatypes_CompOpp_involutive' 'h4/thm/integer/INT_DIV_CALCULATE_e4'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_testbit' 'h4/thm/intto/pos_pos_thm_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_w3_spec' 'h4/thm/integerRing/int_ring_thms_0'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_le_mono_pos_l'#@#variant 'h4/thm/arithmetic/EXP_BASE_LT_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_nonneg_l'#@#variant 'h4/thm/extreal/le_lmul_imp_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ldiff_land' 'h4/thm/real/real_sub_'
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_add_le' 'h4/thm/real/ABS_TRIANGLE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_1_l' 'h4/thm/real/REAL_ADD_LID_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_b2n_div2'#@#variant 'h4/thm/extreal/extreal_sub_def_e6'
0. 'coq/Coq_Reals_AltSeries_PI_tg_pos'#@#variant 'h4/thm/realax/REAL_POS_'#@#variant
0. 'coq/Coq_MSets_MSetPositive_PositiveSet_inter_spec' 'h4/thm/int_bitwise/int_bit_and_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_le_mono_r'#@#variant 'h4/thm/extreal/le_lmul_imp_'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qclt_not_eq' 'h4/thm/rat/RAT_LES_IMP_NEQ_'
0. 'coq/Coq_Reals_RIneq_Rplus_minus' 'h4/thm/integer/INT_SUB_ADD2_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_lt_mono_neg_r' 'h4/thm/rat/RAT_LES_RMUL_NEG_'#@#variant
0. 'coq/Coq_Reals_R_sqrt_sqrt_le_1_alt' 'h4/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_move_0_r' 'h4/thm/rat/RAT_EQ_0SUB_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_asymm' 'h4/thm/extreal/lt_antisym_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mod_1_r'#@#variant 'h4/thm/numeral/numeral_exp_0'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_0_r'#@#variant 'h4/thm/numeral/numeral_exp_0'#@#variant
0. 'coq/Coq_ZArith_Zlogarithm_log_inf_correct/0' 'h4/thm/extreal/lt_infty_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_eq_1'#@#variant 'h4/thm/arithmetic/MULT_EQ_1_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_neq_succ_0' 'h4/thm/toto/num_dt_distinct_0'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_le_compat_l' 'h4/thm/extreal/le_ladd_imp_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_nonpos_nonneg'#@#variant 'h4/thm/integer/INT_NEG_LT0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_lt_mono_pos_l'#@#variant 'h4/thm/real/REAL_LE_LMUL_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_w6_spec' 'h4/thm/numRing/num_ring_thms_0'#@#variant
0. 'coq/Coq_ZArith_Zgcd_alt_fibonacci_pos'#@#variant 'h4/thm/real/REAL_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_eq_mul_0_r' 'h4/thm/extreal/add_not_infty_e1'
0. 'coq/Coq_PArith_BinPos_Pos_gt_lt_iff' 'h4/thm/integer/INT_GT_CALCULATE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_le_mono_r' 'h4/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_ZArith_BinInt_Z_pred_le_mono' 'h4/thm/integerRing/int_rewrites_tLRRRRLRRR'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_0_l' 'h4/thm/extreal/sub_lzero_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_b2z_div2'#@#variant 'h4/thm/extreal/extreal_sub_def_3'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_lt_mono_pos_l'#@#variant 'h4/thm/rat/RAT_LES_LMUL_POS_'#@#variant
0. 'coq/Coq_Reals_R_Ifp_Int_part_INR' 'h4/thm/rat/rat_dnm_def_'
0. 'coq/Coq_ZArith_BinInt_Z_pred_lt_mono' 'h4/thm/integerRing/int_rewrites_tLRRRLRRRR'
0. 'coq/Coq_Reals_RIneq_Rle_le_eq' 'h4/thm/extreal/le_antisym_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_lt_mono_pos_l'#@#variant 'h4/thm/int_arith/justify_divides_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_lt_mono_l' 'h4/thm/rat/RAT_LES_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_xO_r' 'h4/thm/integer/INT_MUL_CALCULATE_2'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pos_pred_succ' 'h4/thm/ieee/num2roundmode_roundmode2num_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_0_l'#@#variant 'h4/thm/arithmetic/ZERO_LESS_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_nonneg_r'#@#variant 'h4/thm/arithmetic/DIV_LE_MONOTONE_'#@#variant
0. 'coq/Coq_QArith_Qround_Qceiling_comp' 'h4/thm/realax/TREAL_BIJ_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_div2'#@#variant 'h4/thm/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_lteq' 'h4/thm/integer/INT_LE_CALCULATE_'
0. 'coq/Coq_NArith_BinNat_N_shiftl_shiftl' 'h4/thm/arithmetic/SUB_PLUS_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_id' 'h4/thm/arithmetic/MIN_IDEM_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_max_r' 'h4/thm/hreal/HRAT_LT_ADDR_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gt_lt_iff' 'h4/thm/arithmetic/GREATER_DEF_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_opp_r' 'h4/thm/integer/INT_MUL_CALCULATE_2'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_lt_mono_l' 'h4/thm/hreal/HRAT_LT_LMUL_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_inv_normc' 'h4/thm/extreal/extreal_sqrt_def_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_1_l' 'h4/thm/extreal/mul_lzero_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_succ_l' 'h4/thm/arithmetic/ADD_e1'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_1_r'#@#variant 'h4/thm/arithmetic/ADD1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gt_lt_iff' 'h4/thm/rat/rat_gre_def_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_le_mono_r' 'h4/thm/real/REAL_LE_SUB_CANCEL2_'
0. 'coq/Coq_ZArith_Znat_N_nat_Z' 'h4/thm/rat/rat_nmr_def_'
0. 'coq/Coq_Reals_Rtrigo1_neg_cos' 'h4/thm/transc/SIN_PERIODIC_PI_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ldiff_m1_r'#@#variant 'h4/thm/arithmetic/MOD_ONE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_lt_mono_pos_r'#@#variant 'h4/thm/intExtension/INT_LT_RMUL_EXP_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_pos_r'#@#variant 'h4/thm/logroot/EXP_LE_ISO_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_l' 'h4/thm/real/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_nge' 'h4/thm/HolSmt/r115_'
0. 'coq/Coq_ZArith_Zdiv_Z_div_same_full'#@#variant 'h4/thm/real/REAL_DIV_REFL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_nonneg_nonneg' 'h4/thm/arithmetic/LESS_MULT2_'
0. 'coq/Coq_PArith_BinPos_Pos_pred_succ' 'h4/thm/prim_rec/PRE_e1'
0. 'coq/Coq_ZArith_BinInt_Z_add_1_r'#@#variant 'h4/thm/arithmetic/DIV2_def_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_le_mono_r'#@#variant 'h4/thm/extreal/le_lmul_imp_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_1_r' 'h4/thm/HolSmt/r127_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_ge' 'h4/thm/integer/INT_LT_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_sub' 'h4/thm/integer/INT_SUB_ADD_'
0. 'coq/Coq_ZArith_Zgcd_alt_fibonacci_pos' 'h4/thm/realax/REAL_POS_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_1' 'h4/thm/integer/INT_NEG_0_'
0. 'coq/Coq_NArith_BinNat_N_min_id' 'h4/thm/arithmetic/MIN_IDEM_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_min_distr_l' 'h4/thm/arithmetic/EXP_ADD_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_of_Z' 'h4/thm/string_num/n2s_s2n_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_nlt_ge' 'h4/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_1_r' 'h4/thm/HolSmt/r214_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_neg_neg' 'h4/thm/intExtension/INT_LT_ADD_NEG_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_add_r' 'h4/thm/realax/HREAL_LT_ADDL_'
0. 'coq/Coq_ZArith_Znat_Zabs2N_inj_pos' 'h4/thm/complex/complex_of_num_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_stepr' 'h4/thm/extreal/lte_trans_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_0_l'#@#variant 'h4/thm/arithmetic/ONE_MOD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_le_trans' 'h4/thm/integer/INT_LTE_TRANS_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_le_compat_r' 'h4/thm/hrat/TRAT_ADD_WELLDEFINED_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_inj_wd' 'h4/thm/numpair/tri_11_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_pos_pos' 'h4/thm/realax/TREAL_LT_MUL_'#@#variant
0. 'coq/Coq_Lists_List_length_zero_iff_nil' 'h4/thm/quantHeuristics/LIST_LENGTH_5_70'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_succ_diag_r' 'h4/thm/bit/BIT_B_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_succ_lt_mono' 'h4/thm/numpair/tri_LE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_refl' 'h4/thm/integer/TINT_EQ_REFL_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_shiftl_mul_pow2'#@#variant 'h4/thm/complex/complex_div_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_add_lt_sub_r' 'h4/thm/integer/INT_LE_SUB_LADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_pos'#@#variant 'h4/thm/transc/EXP_LT_1_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_add_lt_mono_l' 'h4/thm/integer/INT_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sub_diag' 'h4/thm/integer/INT_SUB_REFL_'#@#variant
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_ltk_trans'#@#variant 'h4/thm/sorting/PERM_TRANS_'
0. 'coq/Coq_ZArith_Znat_Z2N_inj_quot2' 'h4/thm/complex/COMPLEX_OF_REAL_NEG_'#@#variant
0. 'coq/Coq_Arith_Div2_div2_double'#@#variant 'h4/thm/bit/LOG2_TWOEXP_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Zplus_succ_r_reverse' 'h4/thm/real/REAL_MUL_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ge_le_iff' 'h4/thm/integer/INT_GE_CALCULATE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_add_lt_sub_r' 'h4/thm/real/REAL_LT_ADD_SUB_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_le_mono_l' 'h4/thm/arithmetic/LT_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_glb_iff' 'h4/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_PArith_BinPos_Pos_compare_xI_xI' 'h4/thm/toto/num_dtOrd_e8'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_lt_mono_pos_l'#@#variant 'h4/thm/real/REAL_LT_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_compare_xO_xO' 'h4/thm/toto/numeralOrd_5'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_neg_iff' 'h4/thm/ieee/ccode_EQ_ccode_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div_1_r' 'h4/thm/rat/RAT_ADD_RID_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_divide_iff' 'h4/thm/extreal/le_min_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_cancel_r' 'h4/thm/arithmetic/EQ_ADD_RCANCEL_'
0. 'coq/Coq_NArith_BinNat_N_add_nonneg_nonneg' 'h4/thm/realax/TREAL_LT_MUL_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_negb_even' 'h4/thm/ratRing/rat_ring_thms_e17'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_le_mono_l' 'h4/thm/integer/TINT_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_le_mono' 'h4/thm/divides/LT_PRIMES_'
0. 'coq/Coq_Reals_Ratan_atan_increasing' 'h4/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_opp_r' 'h4/thm/complex/complex_sub_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_succ_lt_mono' 'h4/thm/integerRing/int_rewrites_tLRRRLRRR'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_add_lt_sub_r' 'h4/thm/real/REAL_LT_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_pos_neg'#@#variant 'h4/thm/extreal/mul_le_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_sub_lt_add_l' 'h4/thm/arithmetic/SUB_RIGHT_LESS_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_pred_l' 'h4/thm/integer/INT_MUL_CALCULATE_1'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_quot2' 'h4/thm/extreal/extreal_sqrt_def_0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_le_mono' 'h4/thm/divides/LT_PRIMES_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_antisym' 'h4/thm/rat/RAT_LEQ_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_rem_opp_opp' 'h4/thm/real/ABS_DIV_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_eq_0' 'h4/thm/rat/RAT_NO_ZERODIV_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_nge' 'h4/thm/real/REAL_NOT_LT_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_of_Z' 'h4/thm/prelim/ordering_BIJ_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_le_mono_nonneg_r'#@#variant 'h4/thm/real/REAL_LT_RMUL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lxor_eq_0_iff' 'h4/thm/rat/RAT_EQ_0SUB_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_eq_0' 'h4/thm/rat/RAT_NO_ZERODIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_le_mono' 'h4/thm/numpair/tri_LT_I_'
0. 'coq/Coq_QArith_Qcanon_Qcopp_involutive' 'h4/thm/int_bitwise/int_not_not_'
0. 'coq/Coq_ZArith_Zpower_two_power_pos_nat' 'h4/thm/complex/complex_of_num_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_eq_cases' 'h4/thm/rat/rat_leq_def_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_le_lin' 'h4/thm/numpair/nfst_le_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_succ_l' 'h4/thm/complex/COMPLEX_NEG_LDIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_sub_le_add_l' 'h4/thm/rat/RAT_LSUB_LES_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_refl' 'h4/thm/hrat/TRAT_EQ_REFL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_diag'#@#variant 'h4/thm/HolSmt/r216_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_glb' 'h4/thm/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_succ_inj' 'h4/thm/divides/PRIMES_11_'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_double'#@#variant 'h4/thm/toto/num_dt_size_def_1'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_neg_iff' 'h4/thm/ieee/roundmode2num_11_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_opp_l' 'h4/thm/integer/INT_MUL_CALCULATE_1'
0. 'coq/Coq_QArith_Qminmax_Q_min_le_compat_r' 'h4/thm/hrat/TRAT_ADD_WELLDEFINED_'#@#variant
0. 'coq/Coq_ZArith_Zdiv_Zdiv_1_r' 'h4/thm/extreal/sub_rzero_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_le_mono' 'h4/thm/integerRing/int_rewrites_tRRRRRRLRRRR'
0. 'coq/Coq_ZArith_Zeven_Zodd_pred' 'h4/thm/transc/LN_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_factor_l' 'h4/thm/extreal/le_max1_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gt_lt_iff' 'h4/thm/integer/INT_GE_CALCULATE_'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_ltk_trans'#@#variant 'h4/thm/rich_list/IS_PREFIX_TRANS_'
0. 'coq/Coq_ZArith_BinInt_Z_negb_even' 'h4/thm/ratRing/rat_ring_thms_e17'#@#variant
0. 'coq/Coq_Arith_Even_odd_plus_l' 'h4/thm/arithmetic/ONE_LT_MULT_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_succ' 'h4/thm/transc/ATN_TAN_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_le_mono' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_cancel_r' 'h4/thm/integer/INT_EQ_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_0_r'#@#variant 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRL'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_lt_mono_r'#@#variant 'h4/thm/real/REAL_LE_LMUL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_glb' 'h4/thm/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lnot_involutive' 'h4/thm/frac/FRAC_AINV_AINV_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_lt_mono_l' 'h4/thm/hreal/HRAT_LT_LADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lxor_nilpotent' 'h4/thm/arithmetic/SUB_EQUAL_0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_odd_1' 'h4/thm/ieee/Plus_zero_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_succ' 'h4/thm/rat/RAT_AINV_CALCULATE_'
0. 'coq/Coq_NArith_BinNat_N_double_mul' 'h4/thm/integer/INT_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_le_mono_r'#@#variant 'h4/thm/real/REAL_LE_LMUL_IMP_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sqrt_1' 'h4/thm/integerRing/int_calculate_e13'
0. 'coq/Coq_QArith_Qreals_Q2R_opp' 'h4/thm/extreal/extreal_inv_def_e2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_land_diag' 'h4/thm/arithmetic/MAX_IDEM_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_odd_1' 'h4/thm/ieee/Minus_infinity_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lcm_eq_0' 'h4/thm/real/REAL_ENTIRE_'#@#variant
0. 'coq/Coq_ZArith_Znumtheory_not_prime_1'#@#variant 'h4/thm/numeral/numeral_distrib_34'
0. 'coq/Coq_ZArith_BinInt_Z_lt_sub_lt_add_r' 'h4/thm/integer/INT_LE_SUB_LADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_lxor_l' 'h4/thm/integer/INT_MUL_CALCULATE_1'
0. 'coq/Coq_ZArith_BinInt_Z_lor_lnot_diag'#@#variant 'h4/thm/rat/RAT_ADD_RINV_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rinv_0_lt_compat'#@#variant 'h4/thm/transc/SQRT_POS_LE_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_opp_min_distr' 'h4/thm/complex/COMPLEX_EXP_ADD_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_nonneg_nonpos'#@#variant 'h4/thm/extreal/mul_lte_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_trichotomy' 'h4/thm/rat/RAT_LES_TOTAL_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_iff' 'h4/thm/string_num/s2n_11_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_0_iff' 'h4/thm/integer/INT_REM_CALCULATE_e4'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_eq_0' 'h4/thm/arithmetic/MULT_EQ_0_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_0_l' 'h4/thm/integer/INT_DIVIDES_1_0'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_neg_iff' 'h4/thm/binary_ieee/rounding2num_11_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_0_r'#@#variant 'h4/thm/integer/INT_MOD_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_refl' 'h4/thm/rat/RAT_EQUIV_REF_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_add_le' 'h4/thm/real/ABS_TRIANGLE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_pred' 'h4/thm/sptree/lrnext_thm_e4'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lcm_1_l' 'h4/thm/extreal/add_lzero_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_alt_dichotomy' 'h4/thm/real/REAL_LE_TOTAL_'
0. 'coq/Coq_ZArith_Zorder_Zlt_le_succ' 'h4/thm/arithmetic/LESS_OR_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_add_lt_sub_r' 'h4/thm/rat/RAT_RSUB_LES_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_lt' 'h4/thm/extreal/abs_bounds_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_sub_lt_add_l' 'h4/thm/arithmetic/SUB_RIGHT_GREATER_'
0. 'coq/Coq_Reals_RIneq_Rplus_gt_compat_r' 'h4/thm/integer/TINT_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_add' 'h4/thm/real/REAL_SUB_ADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_succ_r' 'h4/thm/arithmetic/ADD_SUC_'
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_sub_r' 'h4/thm/divides/DIVIDES_ADD_1_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_setbit_spec_prime'#@#variant 'h4/thm/extreal/extreal_div_def_'
0. 'coq/Coq_Reals_Rpower_exp_increasing' 'h4/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_le_mono_r'#@#variant 'h4/thm/arithmetic/EXP_BASE_LEQ_MONO_IMP_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pred_div2_up' 'h4/thm/toto/num_dt_size_def_e2'#@#variant
0. 'coq/Coq_Bool_Bool_diff_true_false' 'h4/thm/ieee/roundmode_distinct_0'
0. 'coq/Coq_ZArith_Znat_Z2N_inj_pos' 'h4/thm/rat/rat_nmr_def_'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_pred' 'h4/thm/DeepSyntax/deep_form_size_def_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_pow_succ_r' 'h4/thm/arithmetic/EXP_e1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_inj_wd' 'h4/thm/numeral/numeral_eq_e7'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_1_l'#@#variant 'h4/thm/integer/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_succ_not_1' 'h4/thm/bit/TWOEXP_NOT_ZERO_'#@#variant
0. 'coq/Coq_ZArith_Znat_positive_nat_Z' 'h4/thm/ieee/Fraction_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigN_BigZ_spec_Z_of_N' 'h4/thm/ieee/Exponent_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_r' 'h4/thm/real/REAL_MAX_ALT_0'
0. 'coq/Coq_NArith_BinNat_N_neq_succ_0' 'h4/thm/intto/BIT2_nz_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_0_succ' 'h4/thm/transc/ATN_BOUNDS_0'#@#variant
0. 'coq/Coq_QArith_Qcanon_Q_apart_0_1'#@#variant 'h4/thm/binary_ieee/rounding_distinct_2'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gt_lt_iff' 'h4/thm/arithmetic/GREATER_DEF_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_le_mono_l' 'h4/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Strings_Ascii_ascii_N_embedding' 'h4/thm/ASCIInumbers/toString_toNum_cancel_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_id' 'h4/thm/gcd/GCD_REF_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_0_l' 'h4/thm/integer/INT_SUB_REDUCE_1'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_le_lin'#@#variant 'h4/thm/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_double_twice'#@#variant 'h4/thm/arithmetic/SUC_ONE_ADD_'#@#variant
0. 'coq/Coq_Classes_Morphisms_subrelation_refl' 'h4/thm/rich_list/IS_SUFFIX_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_opp_min_distr' 'h4/thm/transc/EXP_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_1' 'h4/thm/real/REAL_ABS_0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_pos_pos' 'h4/thm/integer/TINT_LT_MUL_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lcm_1_l' 'h4/thm/rat/RAT_ADD_LID_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_ldiff_diag' 'h4/thm/real/REAL_SUB_REFL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_gcd_0_l' 'h4/thm/util_prob/lg_def_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_max_lub_iff' 'h4/thm/arithmetic/MAX_LE_e1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_lt_mono_r' 'h4/thm/integer/INT_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_succ_diag_r' 'h4/thm/divides/INDEX_LESS_PRIMES_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_ldiff_diag' 'h4/thm/arithmetic/ABS_DIFF_EQS_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_nge' 'h4/thm/arithmetic/NOT_LESS_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_id' 'h4/thm/string/char_BIJ_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pos_pred_succ' 'h4/thm/ieee/ccode_BIJ_0'
0. 'coq/Coq_NArith_BinNat_N_pow_le_mono_l' 'h4/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_succ' 'h4/thm/string/EXPLODE_IMPLODE_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_sub_r' 'h4/thm/divides/DIVIDES_SUB_'
0. 'coq/Coq_Reals_RIneq_pos_INR'#@#variant 'h4/thm/binary_ieee/zero_le_twopow_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_max_distr' 'h4/thm/transc/EXP_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_id' 'h4/thm/real/REAL_MIN_REFL_'
0. 'coq/Coq_Reals_Rtrigo_calc_Rlt_3PI2_2PI'#@#variant 'h4/thm/real/REAL_HALF_BETWEEN_tRL'#@#variant
0. 'coq/Coq_NArith_BinNat_N_succ_inj_wd' 'h4/thm/quote/index_11_e1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div_0_l' 'h4/thm/integer/INT_REM0_'#@#variant
0. 'coq/Coq_Reals_Ratan_atan_opp' 'h4/thm/numeral/numeral_distrib_16'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mod_1_l'#@#variant 'h4/thm/transc/ONE_RPOW_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_div_1_r' 'h4/thm/HolSmt/r127_'
0. 'coq/Coq_QArith_QArith_base_Qplus_lt_l' 'h4/thm/arithmetic/LESS_EQ_MONO_ADD_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_lt_mono_pos_r'#@#variant 'h4/thm/intExtension/INT_GT_RMUL_EXP_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_ge_le_iff' 'h4/thm/rat/rat_gre_def_'
0. 'coq/Coq_NArith_BinNat_N_log2_up_nonneg' 'h4/thm/arithmetic/FACT_LESS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_double'#@#variant 'h4/thm/transc/LN_INV_'#@#variant
0. 'coq/Coq_Reals_Ratan_ps_atan_opp' 'h4/thm/complex/COMPLEX_INV_NEG_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_pred_le_mono' 'h4/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_asymm' 'h4/thm/arithmetic/LESS_ANTISYM_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_setbit_spec_prime'#@#variant 'h4/thm/extreal/extreal_sub_add_'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_eqke_eqk'#@#variant 'h4/thm/rich_list/IS_SUFFIX_IS_SUBLIST_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_le_mono_nonneg_l'#@#variant 'h4/thm/extreal/le_lmul_imp_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_ge_le_iff' 'h4/thm/real/real_gt_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_pos_nonneg'#@#variant 'h4/thm/integer/INT_LTE_ADD_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_max_r' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_le' 'h4/thm/extreal/abs_bounds_'
0. 'coq/Coq_QArith_Qminmax_Q_min_le_compat_r' 'h4/thm/arithmetic/LESS_MONO_MULT_'
0. 'coq/Coq_ZArith_Znat_positive_nat_N' 'h4/thm/ieee/Fraction_'#@#variant
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_succ' 'h4/thm/extreal/extreal_abs_def_0'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_iff' 'h4/thm/toto/cpn2num_11_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_double_mul' 'h4/thm/complex/COMPLEX_NEG_LDIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_succ_r' 'h4/thm/complex/COMPLEX_MUL_RNEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_nonneg' 'h4/thm/prim_rec/LESS_0_'
0. 'coq/Coq_ZArith_Zorder_Zgt_irrefl' 'h4/thm/hreal/HRAT_LT_REFL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_lt_mono_pos_l'#@#variant 'h4/thm/int_arith/justify_divides_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_wf_0' 'h4/thm/arithmetic/transitive_LESS_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_sub_diag' 'h4/thm/arithmetic/SUB_EQUAL_0_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_divide_mono_r' 'h4/thm/arithmetic/LESS_MONO_MULT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_opp_diag_l' 'h4/thm/real/REAL_ADD_LINV_'#@#variant
0. 'coq/Coq_ZArith_Znat_Z2N_inj_pos' 'h4/thm/ieee/Sign_'#@#variant
0. 'coq/Coq_ZArith_Zdiv_Zdiv2_div'#@#variant 'h4/thm/arithmetic/PRE_SUB1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_lt_mono_r' 'h4/thm/rat/RAT_LES_RADD_'
0. 'coq/Coq_PArith_BinPos_Pos_add_le_mono_r' 'h4/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_PArith_BinPos_Pos_gt_lt_iff' 'h4/thm/string/string_ge_def_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Zopp_mult_distr_l' 'h4/thm/arithmetic/ADD_CLAUSES_2'
0. 'coq/Coq_Reals_Raxioms_Rplus_lt_compat_l' 'h4/thm/integer/TINT_LT_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mod_same' 'h4/thm/integer/INT_REM_ID_'#@#variant
0. 'coq/Coq_ZArith_Znat_Z_N_nat' 'h4/thm/ieee/Exponent_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_sub_le_add_r' 'h4/thm/real/REAL_LT_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_1_l' 'h4/thm/real/REAL_SUB_LZERO_'
0. 'coq/Coq_PArith_BinPos_Pos_le_refl' 'h4/thm/poly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_Lists_List_nil_cons' 'h4/thm/rich_list/NOT_SNOC_NIL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_max_le_compat_r' 'h4/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_refl' 'h4/thm/hrat/TRAT_EQ_REFL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_le_mono_nonneg_l'#@#variant 'h4/thm/integral/REAL_LE_LMUL1_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lt_irrefl' 'h4/thm/hreal/HRAT_LT_REFL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lcm_eq_0' 'h4/thm/arithmetic/MULT_EQ_0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_nge' 'h4/thm/real/real_lte_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_comm' 'h4/thm/hrat/TRAT_ADD_SYM_'#@#variant
0. 'coq/Coq_Bool_Bool_diff_true_false' 'h4/thm/frac/FRAC_1_0_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_le_compat_r' 'h4/thm/integer/TINT_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_PArith_Pnat_SuccNat2Pos_inj_iff' 'h4/thm/toto/cpn_EQ_cpn_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lcm_1_l' 'h4/thm/integer/INT_SUB_REDUCE_1'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_succ_r' 'h4/thm/real/REAL_MUL_RNEG_'
0. 'coq/Coq_ZArith_BinInt_Z_rem_opp_l_prime' 'h4/thm/rat/RAT_AINV_LMUL_'
0. 'coq/Coq_NArith_BinNat_N_divide_refl' 'h4/thm/arithmetic/LESS_EQ_REFL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_ge_cases' 'h4/thm/integer/INT_LTE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_null'#@#variant 'h4/thm/intExtension/INT_SGN_CLAUSES_e2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_pred_l' 'h4/thm/arithmetic/ADD_CLAUSES_2'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_1_mul_pos'#@#variant 'h4/thm/extreal/lte_add_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_shuffle3' 'h4/thm/HolSmt/r086_'
0. 'coq/Coq_Structures_DecidableTypeEx_N_as_DT_lt_not_eq' 'h4/thm/realax/HREAL_LT_NE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lcm_1_r' 'h4/thm/extreal/add_rzero_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_irrefl' 'h4/thm/integer/TINT_LT_REFL_'#@#variant
0. 'coq/Coq_Bool_Bool_negb_involutive' 'h4/thm/real/REAL_NEG_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_le_mono' 'h4/thm/bit/TWOEXP_MONO_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_rem_le'#@#variant 'h4/thm/arithmetic/DIV_LESS_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_asymm' 'h4/thm/hreal/HRAT_LT_ANTISYM_'
0. 'coq/Coq_ZArith_Zquot_Zrem_opp_l' 'h4/thm/arithmetic/ADD_e1'
0. 'coq/Coq_Reals_Rsqrt_def_pow_2_n_neq_R0' 'h4/thm/extreal/extreal_distinct_1'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_double'#@#variant 'h4/thm/quote/index_size_def_1'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_sub_le_add_l' 'h4/thm/rat/RAT_LSUB_LES_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gt_lt_iff' 'h4/thm/integer/INT_GE_CALCULATE_'
0. 'coq/Coq_ZArith_BinInt_Z_ldiff_ldiff_l' 'h4/thm/arithmetic/SUB_PLUS_'
0. 'coq/Coq_Arith_PeanoNat_Nat_max_le_compat_l' 'h4/thm/extreal/le_ladd_imp_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_rem_1_r'#@#variant 'h4/thm/util_prob/logr_1_'#@#variant
0. 'coq/Coq_ZArith_Znat_Zabs2Nat_id' 'h4/thm/string_num/s2n_n2s_'#@#variant
0. 'coq/Coq_Reals_Rtrigo_calc_sqrt2_neq_0'#@#variant 'h4/thm/ieee/roundmode_distinct_2'
0. 'coq/Coq_ZArith_BinInt_Z_opp_min_distr' 'h4/thm/transc/EXP_SUB_'
0. 'coq/Coq_NArith_BinNat_N_odd_sub' 'h4/thm/float/REAL_OF_NUM_SUB_'
0. 'coq/Coq_Reals_RIneq_minus_INR' 'h4/thm/integer/INT_SUB_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_lt_mono_r' 'h4/thm/real/REAL_LE_SUB_CANCEL2_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_succ_lt_mono' 'h4/thm/integerRing/int_rewrites_tLRRRLRRRR'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_succ_r' 'h4/thm/integer/INT_NEG_RMUL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mod_mul' 'h4/thm/integer/INT_MOD_COMMON_FACTOR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lor_diag' 'h4/thm/arithmetic/MAX_IDEM_'
0. 'coq/Coq_ZArith_BinInt_Z_divide_factor_l' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_neq_succ_0' 'h4/thm/intto/BIT2_nz_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_succ_diag_r' 'h4/thm/prim_rec/LESS_SUC_SUC_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_lt_mono_pos_r'#@#variant 'h4/thm/real/REAL_LT_RDIV_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_succ_diag_r' 'h4/thm/prim_rec/LESS_SUC_SUC_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ldiff_land' 'h4/thm/rat/RAT_SUB_ADDAINV_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_alt_dichotomy' 'h4/thm/extreal/le_total_'
0. 'coq/Coq_Reals_Rtrigo1_PI_neq0' 'h4/thm/prelim/ordering_distinct_1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_lt_mono_r' 'h4/thm/hreal/HRAT_LT_RADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_lxor_r' 'h4/thm/complex/COMPLEX_NEG_RDIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_mul_r' 'h4/thm/logroot/EXP_MUL_'
0. 'coq/Coq_Bool_Bool_xorb_true_r' 'h4/thm/arithmetic/PRE_SUB1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_1_r' 'h4/thm/integer/INT_ADD_RID_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_le_mono' 'h4/thm/divides/LT_PRIMES_'
0. 'coq/Coq_QArith_QArith_base_Qplus_lt_l' 'h4/thm/real/REAL_LE_SUB_CANCEL2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_succ' 'h4/thm/sptree/lrnext_thm_3'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_mul_lt_mono_l' 'h4/thm/hreal/HRAT_LT_LADD_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_quot2' 'h4/thm/complex/COMPLEX_OF_REAL_NEG_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_of_Qc' 'h4/thm/string/char_BIJ_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_mul_r'#@#variant 'h4/thm/arithmetic/DIV_DIV_DIV_MULT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_nonpos_nonpos' 'h4/thm/intExtension/INT_LT_ADD_NEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_succ_l' 'h4/thm/integer/INT_NEG_LMUL_'
0. 'coq/Coq_ZArith_BinInt_Z_le_refl' 'h4/thm/realax/TREAL_EQ_REFL_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_le_gt_cases' 'h4/thm/real/REAL_LTE_TOTAL_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_1_r' 'h4/thm/extreal/add_rzero_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_neg_neg'#@#variant 'h4/thm/extreal/le_mul_neg_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_succ_inj_wd' 'h4/thm/complex/CONJ_EQ2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_eq_add_0' 'h4/thm/arithmetic/MULT_EQ_1_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_le_compat_r' 'h4/thm/arithmetic/LESS_MONO_MULT_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_id' 'h4/thm/ieee/num2roundmode_roundmode2num_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_sub_le_add_r' 'h4/thm/real/REAL_LT_ADD_SUB_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_phi' 'h4/thm/ieee/float_tybij_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_succ_le_mono' 'h4/thm/integerRing/int_rewrites_tLRRRLRRR'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_lt_mono_r' 'h4/thm/integer/INT_LE_RADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mod_0_l' 'h4/thm/integer/INT_QUOT_0_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lt_0_sub'#@#variant 'h4/thm/integer/INT_SUB_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_nlt_1_r' 'h4/thm/extreal/lt_infty_3'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_rem_1_r'#@#variant 'h4/thm/arithmetic/MOD_1_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rplus_ge_compat_l' 'h4/thm/real/REAL_LT_IADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_add_lt_sub_r' 'h4/thm/arithmetic/SUB_LEFT_GREATER_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_succ_lt_mono' 'h4/thm/numeral/numeral_distrib_28'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_succ_r' 'h4/thm/complex/COMPLEX_MUL_RNEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_le_iff' 'h4/thm/extreal/min_le_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_sub_le_add_r' 'h4/thm/integer/INT_LE_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftl_opp_r' 'h4/thm/extreal/sub_rneg_'
0. 'coq/Coq_Reals_R_sqrt_sqrt_pos' 'h4/thm/arithmetic/FACT_LESS_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_inj_wd' 'h4/thm/extreal/eq_neg_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mod_small' 'h4/thm/arithmetic/LESS_MOD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftl_1_l'#@#variant 'h4/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_inj_wd' 'h4/thm/integer/INT_EQ_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_cancel_l' 'h4/thm/hreal/HRAT_EQ_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_max_r' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_1'
0. 'coq/Coq_NArith_BinNat_N_shiftr_div_pow2'#@#variant 'h4/thm/integer/int_sub_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_lt_trans' 'h4/thm/integer/INT_LET_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftr_div_pow2'#@#variant 'h4/thm/extreal/sub_rneg_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_1_l'#@#variant 'h4/thm/HolSmt/r129_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_cancel_r' 'h4/thm/rat/RAT_EQ_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_nonneg' 'h4/thm/arithmetic/FACT_LESS_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_ngt' 'h4/thm/HolSmt/r096_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lcm_eq_0' 'h4/thm/integer/INT_ENTIRE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_nlt_0_r' 'h4/thm/prim_rec/NOT_LESS_0_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_glb_lt_iff' 'h4/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_Reals_Rminmax_R_opp_min_distr' 'h4/thm/complex/COMPLEX_EXP_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_le_mono' 'h4/thm/numpair/tri_LT_I_'
0. 'coq/Coq_ZArith_Znat_Z2N_inj_pred' 'h4/thm/toto/num_dt_size_def_e2'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pow_le_mono_r_iff'#@#variant 'h4/thm/integer/INT_LT_MONO_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qnot_le_lt' 'h4/thm/real/REAL_LTE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_le_iff' 'h4/thm/real/REAL_LE_MAX_'
0. 'coq/Coq_NArith_BinNat_N_add_1_l'#@#variant 'h4/thm/integer/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_testbit_even_0'#@#variant 'h4/thm/toto/numeralOrd_4'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_iff' 'h4/thm/integerRing/int_rewrites_tLRRRRRRRRL'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_0_sub'#@#variant 'h4/thm/extreal/sub_zero_le_'#@#variant
0. 'coq/Coq_Arith_Factorial_fact_le' 'h4/thm/prim_rec/LESS_MONO_'
0. 'coq/Coq_NArith_BinNat_N_succ_lt_mono' 'h4/thm/transc/EXP_MONO_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_sub_lt_add_r' 'h4/thm/extreal/lt_sub_imp_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_pos_nonneg'#@#variant 'h4/thm/util_prob/REAL_LE_LT_MUL_'#@#variant
0. 'coq/Coq_Reals_Rpower_sinh_arcsinh' 'h4/thm/transc/ATN_TAN_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_pred' 'h4/thm/numRing/num_rewrites_tLLRRRR'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pred_le_mono' 'h4/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Arith_EqNat_eq_nat_refl' 'h4/thm/realax/TREAL_EQ_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pred_div2_up' 'h4/thm/extreal/extreal_abs_def_0'
0. 'coq/Coq_PArith_BinPos_Pos_max_le_compat_r' 'h4/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lxor_nilpotent' 'h4/thm/arithmetic/ABS_DIFF_EQS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_lt_mono' 'h4/thm/numpair/tri_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_pos_pos' 'h4/thm/realax/TREAL_LT_MUL_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_nle' 'h4/thm/HolSmt/r115_'
0. 'coq/Coq_NArith_BinNat_N_le_max_l' 'h4/thm/integer/INT_DIVIDES_MUL_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_le_mono' 'h4/thm/integer/INT_LE_NEG_'
0. 'coq/Coq_PArith_BinPos_Pos_max_id' 'h4/thm/extreal/min_refl_'
0. 'coq/Coq_NArith_BinNat_N_pow_lt_mono_r_iff'#@#variant 'h4/thm/logroot/LE_EXP_ISO_'#@#variant
0. 'coq/Coq_Arith_Compare_dec_not_eq' 'h4/thm/realax/REAL_LT_TOTAL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_inj_wd' 'h4/thm/integer/INT_EQ_CALCULATE_1'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_nonneg'#@#variant 'h4/thm/real/REAL_LT_MUL2_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zplus_lt_compat_r' 'h4/thm/hrat/TRAT_MUL_WELLDEFINED_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lnot_ldiff' 'h4/thm/integer/INT_SUB_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pred_le_mono' 'h4/thm/numpair/tri_LT_I_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_le_compat_r' 'h4/thm/integer/TINT_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_log2_nonneg' 'h4/thm/arithmetic/FACT_LESS_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_1_l' 'h4/thm/util_prob/lg_def_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_diag' 'h4/thm/real/REAL_SUB_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_lt_iff' 'h4/thm/util_prob/X_LE_MAX_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_sub_lt_add_r' 'h4/thm/arithmetic/SUB_LEFT_LESS_'
0. 'coq/Coq_PArith_BinPos_Pos_lt_nle' 'h4/thm/arithmetic/NOT_LESS_EQUAL_'
0. 'coq/Coq_PArith_BinPos_Pos_ge_le_iff' 'h4/thm/integer/int_ge_'
0. 'coq/Coq_ZArith_Zsqrt_compat_Zsqrt_plain_is_pos'#@#variant 'h4/thm/real/REAL_LE_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_l' 'h4/thm/real/REAL_MIN_ALT_0'
0. 'coq/Coq_NArith_BinNat_N_lt_succ_l' 'h4/thm/prim_rec/SUC_LESS_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_div2_double'#@#variant 'h4/thm/numeral/numeral_add_0'#@#variant
0. 'coq/Coq_ZArith_Zdiv_eqm_trans' 'h4/thm/arithmetic/MODEQ_TRANS_'
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_factor_r' 'h4/thm/integer/INT_DIVIDES_MUL_e1'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_add_lt_sub_r' 'h4/thm/integer/INT_LT_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_glb_iff' 'h4/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_le_mono' 'h4/thm/transc/EXP_MONO_LT_'
0. 'coq/Coq_Reals_Rbasic_fun_Rmin_glb' 'h4/thm/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_add_diag_r' 'h4/thm/gcd/GCD_ADD_R_THM_e1'
0. 'coq/Coq_ZArith_BinInt_Z_pow_le_mono_r'#@#variant 'h4/thm/integral/REAL_LE_LMUL1_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_cancel_l' 'h4/thm/hreal/HRAT_EQ_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ldiff_m1_l'#@#variant 'h4/thm/numeral/texp_help_def_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_pred_l' 'h4/thm/frac/FRAC_AINV_LMUL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_pos'#@#variant 'h4/thm/real/ABS_NZ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_compare_succ_succ' 'h4/thm/quote/index_compare_def_7'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_1_l'#@#variant 'h4/thm/integer/INT_SUB_REDUCE_1'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_id' 'h4/thm/real/REAL_MIN_REFL_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_gt' 'h4/thm/integer/int_lt_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_shiftl_mul_pow2'#@#variant 'h4/thm/complex/complex_sub_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_inj_wd' 'h4/thm/rat/RAT_EQ_AINV_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_gt' 'h4/thm/realax/real_lt_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_pos_l'#@#variant 'h4/thm/arithmetic/EXP_BASE_LE_MONO_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_cancel_r' 'h4/thm/complex/COMPLEX_EQ_RADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_lt_iff' 'h4/thm/real/REAL_MIN_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sub_max_distr_l' 'h4/thm/transc/RPOW_SUB_'
0. 'coq/Coq_Reals_Rminmax_R_opp_min_distr' 'h4/thm/transc/EXP_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_testbit_even_0'#@#variant 'h4/thm/toto/num_dtOrd_4'
0. 'coq/Coq_ZArith_Zorder_Zplus_lt_reg_r' 'h4/thm/arithmetic/LESS_MONO_ADD_INV_'
0. 'coq/Coq_ZArith_BinInt_Z_pred_succ' 'h4/thm/numRing/num_rewrites_tLLRRRR'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftr_opp_r' 'h4/thm/complex/complex_sub_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_assoc' 'h4/thm/hrat/TRAT_MUL_ASSOC_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_rem_opp_opp' 'h4/thm/real/ABS_DIV_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_cancel_l' 'h4/thm/complex/COMPLEX_EQ_LADD_'#@#variant
0. 'coq/Coq_Reals_Rpower_exp_Ropp' 'h4/thm/sptree/lrnext_thm_e4'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_trichotomy' 'h4/thm/integer/INT_LT_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_cancel_r' 'h4/thm/rat/RAT_EQ_RMUL_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_pred_double_succ' 'h4/thm/numeral/numeral_suc_1'
0. 'coq/Coq_NArith_BinNat_N_succ_le_mono' 'h4/thm/numeral/numeral_distrib_28'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftr_div_pow2'#@#variant 'h4/thm/rat/RAT_DIV_MULMINV_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_succ_l' 'h4/thm/integer/INT_MUL_CALCULATE_1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_le_lin' 'h4/thm/numpair/nfst_le_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_move_0_r' 'h4/thm/integer/INT_LNEG_UNIQ_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_r' 'h4/thm/real/REAL_MIN_ALT_e1'
0. 'coq/Coq_Reals_RList_RList_P1' 'h4/thm/float/REAL_POW_LE_1_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lcm_1_l' 'h4/thm/integer/TINT_MUL_LID_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_1_r' 'h4/thm/extreal/sub_rzero_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_pred_sub' 'h4/thm/arithmetic/PRE_SUB1_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftr_opp_r' 'h4/thm/rat/RAT_DIV_MULMINV_'
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_triang_inv2' 'h4/thm/real/ABS_SUB_ABS_'
0. 'coq/Coq_NArith_Nnat_N2Nat_id' 'h4/thm/binary_ieee/float_compare_BIJ_0'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_le_mono_r' 'h4/thm/hreal/HRAT_LT_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_null_iff' 'h4/thm/integer/INT_NEG_EQ0_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_iff' 'h4/thm/prelim/ordering2num_11_'
0. 'coq/Coq_Reals_Raxioms_Rmult_lt_compat_l'#@#variant 'h4/thm/real/REAL_LT_LMUL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_0_discr' 'h4/thm/num/NOT_SUC_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_negb_odd' 'h4/thm/frac/frac_sgn_def_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_neq_0_succ' 'h4/thm/intto/BIT2_nz_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_succ_diag_r' 'h4/thm/real/REAL_POS_INFLATE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_quot_le_mono'#@#variant 'h4/thm/integral/REAL_LE_RMUL1_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_lt_mono_l' 'h4/thm/arithmetic/LE_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_le_mono_pos_r'#@#variant 'h4/thm/rat/RAT_LES_RMUL_POS_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_1_r' 'h4/thm/integer/INT_SUB_RZERO_'
0. 'coq/Coq_Reals_RIneq_opp_IZR' 'h4/thm/quote/index_size_def_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_gcd_divide_l' 'h4/thm/real/REAL_MIN_LE1_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_le_compat_l' 'h4/thm/realax/REAL_LT_IADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_pred_r' 'h4/thm/rat/RAT_AINV_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lor_lnot_diag'#@#variant 'h4/thm/integer/INT_ADD_RINV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_lteq' 'h4/thm/string/string_le_def_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_lt_succ_r' 'h4/thm/prim_rec/LESS_SUC_'
0. 'coq/Coq_NArith_BinNat_N_lt_neq' 'h4/thm/extreal/lt_imp_ne_'
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_double'#@#variant 'h4/thm/util_prob/lg_inv_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pred_succ' 'h4/thm/numeral_bit/NUMERAL_iDIV2_2'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_succ_r' 'h4/thm/integer/INT_NEG_RMUL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_factor_l' 'h4/thm/realax/HREAL_LT_ADDL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_refl' 'h4/thm/poly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_le_antisym' 'h4/thm/arithmetic/LESS_EQUAL_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_add_lt_sub_r' 'h4/thm/integer/INT_LT_ADD_SUB_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_ge_cases' 'h4/thm/integer/INT_LET_TOTAL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_lor' 'h4/thm/complex/COMPLEX_EXP_ADD_'#@#variant
0. 'coq/Coq_QArith_Qminmax_Q_min_comm' 'h4/thm/hrat/TRAT_ADD_SYM_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_ldiff_diag' 'h4/thm/arithmetic/SUB_EQUAL_0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_eq_0_r' 'h4/thm/extreal/add_not_infty_e1'
0. 'coq/Coq_NArith_BinNat_N_mul_pos_neg'#@#variant 'h4/thm/extreal/mul_le_'#@#variant
0. 'coq/__constr_Coq_FSets_FSetPositive_PositiveSet_ct_0_3' 'h4/thm/gcd/IS_GCD_0L_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_square_nonneg'#@#variant 'h4/thm/integer/INT_LE_SQUARE_'#@#variant
0. 'coq/Coq_ZArith_Znat_Z2Nat_inj_neg' 'h4/thm/binary_ieee/float_value_size_def_0'#@#variant
0. 'coq/Coq_PArith_Pnat_SuccNat2Pos_inj_iff' 'h4/thm/ieee/roundmode_EQ_roundmode_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftr_div_pow2'#@#variant 'h4/thm/integer/INT_SUB_CALCULATE_'
0. 'coq/Coq_NArith_BinNat_N_le_refl' 'h4/thm/arithmetic/LESS_EQ_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_opp_eq_mul_m1'#@#variant 'h4/thm/arithmetic/PRE_SUB1_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_sub_le_mono_r' 'h4/thm/integer/TINT_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lt_pred_l' 'h4/thm/bit/BIT_LOG2_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sub_diag' 'h4/thm/arithmetic/SUB_EQUAL_0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_land_diag' 'h4/thm/real/REAL_MIN_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_nonneg_pos'#@#variant 'h4/thm/extreal/let_add_'#@#variant
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_iff' 'h4/thm/string_num/n2s_11_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_0_sub'#@#variant 'h4/thm/real/REAL_SUB_LT_'#@#variant
0. 'coq/Coq_Reals_Rpower_sinh_arcsinh' 'h4/thm/string/EXPLODE_IMPLODE_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_succ_inj_wd' 'h4/thm/real/REAL_EQ_NEG_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_ge' 'h4/thm/integer/int_lt_'#@#variant
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_E_bits_lt_antirefl' 'h4/thm/prim_rec/LESS_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_add_le_mono_r' 'h4/thm/arithmetic/LT_ADD_RCANCEL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_0_discr' 'h4/thm/intto/BIT1_nz_'
0. 'coq/Coq_NArith_BinNat_N_pred_div2_up' 'h4/thm/extreal/extreal_abs_def_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_pos_pos' 'h4/thm/integer/INT_LT_MUL_'
0. 'coq/Coq_ZArith_BinInt_Z_lcm_1_l'#@#variant 'h4/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_ge' 'h4/thm/realax/real_lt_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_eq_mul_0' 'h4/thm/rat/RAT_NO_ZERODIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_lt_mono_pos_l'#@#variant 'h4/thm/real/REAL_LE_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_total' 'h4/thm/realax/REAL_LT_TOTAL_'
0. 'coq/Coq_NArith_BinNat_N_sqrt_le_lin' 'h4/thm/numpair/invtri_le_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_refl' 'h4/thm/extreal/le_refl_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_mul_below' 'h4/thm/real/REAL_SUB_ABS_'
0. 'coq/Coq_Reals_Rbasic_fun_Rle_min_compat_r' 'h4/thm/arithmetic/LESS_MONO_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div_1_r' 'h4/thm/integer/INT_ADD_RID_'
0. 'coq/Coq_Structures_OrderedTypeEx_PositiveOrderedTypeBits_bits_lt_antirefl' 'h4/thm/real/REAL_LT_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_sgn_null_iff' 'h4/thm/numpair/tri_eq_0_e1'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_nonneg_pos'#@#variant 'h4/thm/integer/INT_LET_ADD_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_refl' 'h4/thm/extreal/le_refl_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lxor_nilpotent' 'h4/thm/arithmetic/ABS_DIFF_EQS_'
0. 'coq/Coq_NArith_Nnat_Nat2N_id' 'h4/thm/complex/RE_COMPLEX_OF_REAL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_Odd_succ' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRL'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lt_nge' 'h4/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_irrefl' 'h4/thm/hreal/HRAT_LT_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_div_1_r' 'h4/thm/extreal/add_rzero_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lnot_0_l' 'h4/thm/rat/RAT_SUB_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lcm_1_r' 'h4/thm/HolSmt/r214_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_nle_gt' 'h4/thm/rat/RAT_LEQ_LES_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_le_lin'#@#variant 'h4/thm/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_min_l' 'h4/thm/real/REAL_MIN_ALT_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_succ_r' 'h4/thm/util_prob/LE_SUC_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_setbit_spec_prime'#@#variant 'h4/thm/real/real_sub_'
0. 'coq/Coq_ZArith_BinInt_Z_gcd_eq_0' 'h4/thm/gcd/GCD_EQ_0_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_succ_le_mono' 'h4/thm/arithmetic/LESS_MONO_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_0_r'#@#variant 'h4/thm/arithmetic/EXP_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_1' 'h4/thm/real/REAL_ABS_0_'
0. 'coq/Coq_NArith_BinNat_N_max_le_iff' 'h4/thm/arithmetic/MAX_LE_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_Even_succ' 'h4/thm/numeral/numeral_distrib_21'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftl_opp_r' 'h4/thm/integer/INT_SUB_CALCULATE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div2_double' 'h4/thm/string/IMPLODE_EXPLODE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_sub_le_add_r' 'h4/thm/integer/INT_LT_SUB_RADD_'
0. 'coq/Coq_NArith_BinNat_N_succ_lt_mono' 'h4/thm/numeral/numeral_lt_3'
0. 'coq/Coq_NArith_BinNat_N_le_lt_trans' 'h4/thm/extreal/let_trans_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lnot_lxor_r' 'h4/thm/numpair/napp_thm_e1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_shuffle3' 'h4/thm/HolSmt/r220_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_lt_mono_r' 'h4/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_minus_one_neq_zero'#@#variant 'h4/thm/ieee/roundmode_distinct_4'
0. 'coq/Coq_Arith_PeanoNat_Nat_div_lt'#@#variant 'h4/thm/arithmetic/DIV_LESS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_lt_mono_nonneg'#@#variant 'h4/thm/real/REAL_LE_MUL2_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_le_lt_trans' 'h4/thm/arithmetic/LESS_EQ_LESS_TRANS_'
0. 'coq/Coq_PArith_BinPos_Pos_ge_le_iff' 'h4/thm/string/string_gt_def_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_max_distr_l' 'h4/thm/transc/RPOW_SUB_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_double_mul' 'h4/thm/complex/COMPLEX_NEG_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_nge' 'h4/thm/HolSmt/r096_'
0. 'coq/Coq_NArith_BinNat_N_max_lt_iff' 'h4/thm/util_prob/X_LE_MAX_'
0. 'coq/Coq_ZArith_Zorder_Zmult_le_compat'#@#variant 'h4/thm/real/REAL_LT_MUL2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_null'#@#variant 'h4/thm/intExtension/INT_SGN_CLAUSES_e2'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_0_l' 'h4/thm/HolSmt/r221_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_succ_le_mono' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_div2_div'#@#variant 'h4/thm/arithmetic/PRE_SUB1_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_divide_antisym' 'h4/thm/rat/RAT_LEQ_ANTISYM_'
0. 'coq/Coq_Reals_RIneq_Rle_not_lt' 'h4/thm/real/REAL_LET_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_succ_l' 'h4/thm/integer/INT_MUL_CALCULATE_1'
0. 'coq/Coq_ZArith_BinInt_Z_le_succ_l' 'h4/thm/arithmetic/LESS_EQ_'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_one_neq_zero' 'h4/thm/ieee/ccode_distinct_1'
0. 'coq/Coq_ZArith_BinInt_Z_divide_Zpos' 'h4/thm/string/char_lt_def_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_refl' 'h4/thm/divides/DIVIDES_REFL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_pos_r'#@#variant 'h4/thm/real/REAL_LE_RMUL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_gcd_divide_l' 'h4/thm/arithmetic/SUB_LESS_EQ_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_lt_mono_l' 'h4/thm/integer/LT_LADD_'
0. 'coq/Coq_NArith_BinNat_N_le_succ_diag_r' 'h4/thm/numpair/tri_le_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lor_diag' 'h4/thm/real/REAL_MAX_REFL_'
0. 'coq/Coq_NArith_BinNat_N_lcm_1_r' 'h4/thm/integer/INT_SUB_RZERO_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mod_1_r'#@#variant 'h4/thm/arithmetic/MOD_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_double'#@#variant 'h4/thm/util_prob/lg_inv_'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_iff' 'h4/thm/ASCIInumbers/toString_11_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ldiff_land' 'h4/thm/rat/RAT_DIV_MULMINV_'
0. 'coq/Coq_Reals_RIneq_Rle_refl' 'h4/thm/integer/INT_DIVIDES_REFL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sub_succ' 'h4/thm/extreal/neg_mul2_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_refl' 'h4/thm/poly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_lt_mono_r' 'h4/thm/arithmetic/LT_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_lt_mono_r' 'h4/thm/arithmetic/LT_ADD_RCANCEL_'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_minus_one_neq_zero'#@#variant 'h4/thm/frac/FRAC_1_0_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_1_l' 'h4/thm/integer/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_inj_wd' 'h4/thm/quote/index_11_e1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div_str_pos' 'h4/thm/bit/DIV_GT0_'
0. 'coq/Coq_ZArith_Zlogarithm_log_sup_correct1'#@#variant 'h4/thm/extreal/le_num_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_lt_mono_r' 'h4/thm/arithmetic/LESS_EQ_MONO_ADD_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_succ_inj_wd' 'h4/thm/toto/num_dt_11_e1'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_min_l' 'h4/thm/arithmetic/SUB_LESS_EQ_'
0. 'coq/Coq_QArith_QOrderedType_QOrder_le_eq' 'h4/thm/integer/INT_LTE_TRANS_'
0. 'coq/Coq_Reals_Rtrigo_def_sin_antisym' 'h4/thm/numeral/numeral_distrib_14'
0. 'coq/Coq_Reals_Rpower_arcsinh_sinh' 'h4/thm/numeral/DIV2_BIT1_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_le_compat_l' 'h4/thm/real/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lcm_1_r'#@#variant 'h4/thm/arithmetic/PRE_SUB1_'#@#variant
0. 'coq/Coq_ZArith_Znat_Z2N_inj_le'#@#variant 'h4/thm/float/FLOAT_GE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_le_mono' 'h4/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_b2n_div2'#@#variant 'h4/thm/extreal/extreal_sub_def_e6'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_double_mul' 'h4/thm/extreal/mul_lneg_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_phi' 'h4/thm/frac/frac_tybij_0'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_1_r' 'h4/thm/rat/RAT_MUL_RZERO_'
0. 'coq/Coq_Arith_Even_odd_plus_r' 'h4/thm/util_prob/REAL_LT_LE_MUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_le_mono_pos_r'#@#variant 'h4/thm/real/REAL_LE_RMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_le_mono_l' 'h4/thm/integer/INT_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_odd_1' 'h4/thm/ieee/Minus_infinity_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_0_succ' 'h4/thm/prim_rec/LESS_0_'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_le_mono' 'h4/thm/divides/LT_PRIMES_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_eq_cases' 'h4/thm/arithmetic/GREATER_OR_EQ_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_1_l'#@#variant 'h4/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_div2_double'#@#variant 'h4/thm/numpair/invtri_linverse_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_refl' 'h4/thm/integer/INT_DIVIDES_REFL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_succ_r' 'h4/thm/integer/INT_MUL_CALCULATE_2'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_divide' 'h4/thm/int_arith/INT_NUM_DIVIDES_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_opp_r' 'h4/thm/frac/frac_div_def_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_nge' 'h4/thm/rat/RAT_LES_LEQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_pred_l' 'h4/thm/integer/INT_MUL_CALCULATE_1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_lt_mono' 'h4/thm/numeral/numeral_distrib_22'
0. 'coq/Coq_Reals_RIneq_Ropp_inv_permute' 'h4/thm/real/REAL_NEG_INV_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_shiftr_opp_r' 'h4/thm/integer/INT_SUB_CALCULATE_'
0. 'coq/Coq_NArith_BinNat_N_log2_le_mono' 'h4/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_1_r' 'h4/thm/integer/INT_ADD_RID_'
0. 'coq/Coq_Arith_Factorial_fact_neq_0' 'h4/thm/toto/num_dt_distinct_0'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_xO'#@#variant 'h4/thm/extreal/extreal_sqrt_def_0'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_nlt' 'h4/thm/HolSmt/r096_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_opp' 'h4/thm/complex/CONJ_INV_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_min_distr' 'h4/thm/complex/COMPLEX_EXP_SUB_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_triang' 'h4/thm/real/REAL_ABS_TRIANGLE_'
0. 'coq/Coq_NArith_BinNat_N_add_lt_mono_l' 'h4/thm/hreal/HRAT_LT_LADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_setbit_spec_prime'#@#variant 'h4/thm/integer/int_sub_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_sub_lt_add_r' 'h4/thm/integer/INT_LT_ADD_SUB_'
0. 'coq/Coq_ZArith_BinInt_Z_div_1_r' 'h4/thm/extreal/sub_rzero_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_1_r' 'h4/thm/extreal/sub_rzero_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_nle_gt' 'h4/thm/extreal/extreal_lt_def_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_refl' 'h4/thm/real/REAL_LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_eq_0' 'h4/thm/arithmetic/ADD_EQ_0_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_1_l'#@#variant 'h4/thm/HolSmt/r221_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_divide_xO_xO' 'h4/thm/numpair/tri_LE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_le_mono' 'h4/thm/bit/TWOEXP_MONO2_'#@#variant
0. 'coq/Coq_QArith_Qround_Qfloor_Z' 'h4/thm/ASCIInumbers/toString_toNum_cancel_'#@#variant
0. 'coq/Coq_Reals_Rpower_exp_increasing' 'h4/thm/bit/TWOEXP_MONO_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_pred_succ' 'h4/thm/numeral/DIV2_BIT1_'
0. 'coq/Coq_ZArith_Zorder_Zmult_lt_compat_l'#@#variant 'h4/thm/logroot/ROOT_LE_MONO_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_1' 'h4/thm/util_prob/ONE_MINUS_HALF_'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_iff' 'h4/thm/integerRing/int_calculate_8'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_diag' 'h4/thm/numeral/iDUB_'
0. 'coq/Coq_PArith_BinPos_Pos_le_nlt' 'h4/thm/real/REAL_NOT_LT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div_1_r' 'h4/thm/integer/INT_SUB_RZERO_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_pos'#@#variant 'h4/thm/numeral/numeral_distrib_32'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_iff' 'h4/thm/prelim/ordering2num_11_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_succ_diag_r' 'h4/thm/real/REAL_POS_INFLATE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_simpl_r' 'h4/thm/real/REAL_SUB_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_ldiff_ldiff_l' 'h4/thm/frac/FRAC_SUB_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gt_lt_iff' 'h4/thm/integer/INT_GE_CALCULATE_'
0. 'coq/Coq_NArith_Ndist_ni_le_refl' 'h4/thm/integer/TINT_EQ_REFL_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_le_mono_r' 'h4/thm/hreal/HRAT_LT_RADD_'
0. 'coq/Coq_NArith_BinNat_N_lcm_eq_0' 'h4/thm/integer/INT_ENTIRE_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_pos_pos' 'h4/thm/arithmetic/LESS_MULT2_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_mul_r' 'h4/thm/arithmetic/DIV_DIV_DIV_MULT_'
0. 'coq/Coq_Reals_Rtrigo1_sin_gt_0'#@#variant 'h4/thm/transc/SIN_POS_PI_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_pred_l' 'h4/thm/arithmetic/ADD_CLAUSES_2'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_1_l'#@#variant 'h4/thm/integer/INT_SUB_REDUCE_1'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_clearbit_spec_prime'#@#variant 'h4/thm/integer/INT_SUB_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lcm_diag' 'h4/thm/real/REAL_MAX_REFL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_le_mono_r' 'h4/thm/integer/INT_LE_RADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sub_max_distr_l' 'h4/thm/transc/RPOW_ADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_0_r'#@#variant 'h4/thm/arithmetic/MOD_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_involutive' 'h4/thm/integer/INT_ABS_ABS_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_divide_xO_xO' 'h4/thm/integerRing/int_rewrites_tLRRRLRRR'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_refl' 'h4/thm/poly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_null_iff' 'h4/thm/numpair/tri_eq_0_e1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_pos'#@#variant 'h4/thm/transc/EXP_LT_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_quot_1_r' 'h4/thm/HolSmt/r214_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_lt_succ_r' 'h4/thm/prim_rec/LESS_SUC_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_inj_wd' 'h4/thm/integral/EQ_SUC_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_pos_l'#@#variant 'h4/thm/transc/RPOW_LE_'#@#variant
0. 'coq/Coq_fourier_Fourier_util_Rfourier_le'#@#variant 'h4/thm/real/REAL_LE_LMUL_IMP_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_glb' 'h4/thm/divides/DIVIDES_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_succ_inj_wd' 'h4/thm/complex/CONJ_EQ2_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lcm_least' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_e2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_factor_r' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_1'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_1' 'h4/thm/real/REAL_INV_0_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_succ' 'h4/thm/quote/index_size_def_0'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_sub_le_add_r' 'h4/thm/integer/INT_LT_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mod_0_l' 'h4/thm/integer/INT_MOD0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_lt_lin'#@#variant 'h4/thm/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ldiff_m1_r'#@#variant 'h4/thm/arithmetic/MOD_1_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sub_le_mono_r' 'h4/thm/arithmetic/LT_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_le_mono' 'h4/thm/bit/TWOEXP_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_add_r' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_min_r' 'h4/thm/real/REAL_MIN_LE2_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_inj_l' 'h4/thm/real/REAL_EQ_RMUL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_pred' 'h4/thm/transc/LN_EXP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_inj_wd' 'h4/thm/toto/num_dt_11_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftl_mul_pow2'#@#variant 'h4/thm/extreal/extreal_div_def_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_cancel_l' 'h4/thm/realax/HREAL_LT_LADD_'
0. 'coq/Coq_NArith_BinNat_N_le_ge_cases' 'h4/thm/real/REAL_LE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_lt_mono' 'h4/thm/numeral/numeral_distrib_22'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_nonneg_pos'#@#variant 'h4/thm/util_prob/REAL_LT_LE_MUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_nonneg' 'h4/thm/divides/ZERO_LT_PRIMES_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_eq_0' 'h4/thm/arithmetic/ADD_EQ_0_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_succ_le_mono' 'h4/thm/arithmetic/LESS_EQ_MONO_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_eq_cases' 'h4/thm/integer/INT_LE_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_neq_0_succ' 'h4/thm/intto/BIT2_nz_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_pos'#@#variant 'h4/thm/numeral/numeral_distrib_33'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_pos_pos' 'h4/thm/integer/INT_LT_MUL_'
0. 'coq/Coq_Arith_Plus_plus_le_compat_l' 'h4/thm/real/REAL_LT_IADD_'
0. 'coq/Coq_Reals_RIneq_Ropp_involutive' 'h4/thm/integer/INT_MOD_CALCULATE_2'
0. 'coq/Coq_ZArith_Zorder_Zmult_lt_0_le_compat_r' 'h4/thm/arithmetic/DIV_LE_MONOTONE_'
0. 'coq/Coq_Arith_Plus_plus_le_lt_compat' 'h4/thm/integer/INT_LET_ADD2_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_id' 'h4/thm/real/REAL_MAX_REFL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_r' 'h4/thm/hrat/TRAT_ADD_WELLDEFINED_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_succ_r' 'h4/thm/util_prob/LE_SUC_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_irrefl' 'h4/thm/string/string_lt_nonrefl_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_irrefl' 'h4/thm/realax/HREAL_LT_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_lnot_lxor_r' 'h4/thm/real/REAL_NEG_RMUL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_0_discr' 'h4/thm/toto/num_dt_distinct_1'
0. 'coq/Coq_Reals_Rtrigo_calc_sin3PI4'#@#variant 'h4/thm/arithmetic/ONE_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_le_mono_l' 'h4/thm/realax/HREAL_LT_LADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_alt_dichotomy' 'h4/thm/extreal/le_total_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_lt_iff' 'h4/thm/arithmetic/MIN_LE_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_trichotomy' 'h4/thm/arithmetic/LESS_CASES_IMP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_max_l' 'h4/thm/realax/HREAL_LT_ADDL_'
0. 'coq/Coq_NArith_BinNat_N_min_lt_iff' 'h4/thm/extreal/min_le_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_lt_mono' 'h4/thm/numpair/tri_LE_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_add_lt_sub_r' 'h4/thm/real/REAL_LT_ADD_SUB_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_succ_r' 'h4/thm/rat/RAT_AINV_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_neq_0_succ' 'h4/thm/quote/index_distinct_e2'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_le_lt_mono' 'h4/thm/real/REAL_LET_ADD2_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_succ_r' 'h4/thm/frac/FRAC_AINV_RMUL_'
0. 'coq/Coq_ZArith_BinInt_Z_square_nonneg'#@#variant 'h4/thm/integer/INT_LE_SQUARE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_1_l' 'h4/thm/integer/INT_MUL_REDUCE_1'
0. 'coq/Coq_Arith_PeanoNat_Nat_pred_succ' 'h4/thm/transc/ATN_e2'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_succ_r' 'h4/thm/arithmetic/MULT_CLAUSES_e5'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_pos_cancel_r'#@#variant 'h4/thm/real/REAL_LT_RDIV_0_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_succ' 'h4/thm/toto/num_dt_size_def_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_le_iff' 'h4/thm/util_prob/X_LE_MAX_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_le_mono_l' 'h4/thm/real/REAL_LE_LADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_log2' 'h4/thm/complex/COMPLEX_OF_REAL_NEG_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_trichotomy' 'h4/thm/real/REAL_LT_TOTAL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_le_mono' 'h4/thm/prim_rec/LESS_MONO_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_ge_le_iff' 'h4/thm/pred_set/COUNT_applied_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pow_inj_r'#@#variant 'h4/thm/float/REAL_LT_LCANCEL_IMP_'#@#variant
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_lt_total' 'h4/thm/realax/REAL_LT_TOTAL_'
0. 'coq/Coq_ZArith_Znat_Z2N_inj_pos' 'h4/thm/rat/rat_dnm_def_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_eq_cases' 'h4/thm/real/REAL_LE_LT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_lt_iff' 'h4/thm/arithmetic/MIN_LT_0'
0. 'coq/Coq_MMaps_MMapPositive_PositiveMap_E_bits_lt_antirefl' 'h4/thm/integer/INT_LT_REFL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_quot_pos'#@#variant 'h4/thm/extreal/lte_add_'#@#variant
0. 'coq/Coq_Structures_OrderedTypeEx_PositiveOrderedTypeBits_bits_lt_antirefl' 'h4/thm/prim_rec/LESS_REFL_'
0. 'coq/Coq_ZArith_Zquot_Zquot_opp_l' 'h4/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_le_mono_l' 'h4/thm/arithmetic/LE_ADD_LCANCEL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_pred_succ' 'h4/thm/string/IMPLODE_EXPLODE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_pos_neg'#@#variant 'h4/thm/integer/INT_NEG_GT0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_opp_r' 'h4/thm/extreal/extreal_div_def_'
0. 'coq/Coq_Reals_RIneq_Rle_0_sqr' 'h4/thm/integral/LT_0_'
0. 'coq/Coq_Reals_RIneq_Rinv_l_sym' 'h4/thm/realax/REAL_MUL_LINV_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_ones_equiv'#@#variant 'h4/thm/numeral_bit/NUMERAL_iDIV2_4'
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_Rabsolu' 'h4/thm/real/ABS_ABS_'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_nonneg' 'h4/thm/integral/LT_0_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lxor_m1_r'#@#variant 'h4/thm/arithmetic/PRE_SUB1_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_eq_mul_0' 'h4/thm/arithmetic/MULT_EQ_0_'
0. 'coq/Coq_ZArith_BinInt_Z_le_succ_diag_r' 'h4/thm/numpair/tri_le_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_eq_mul_0_r' 'h4/thm/intExtension/INT_NOT0_MUL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_triangle' 'h4/thm/real/REAL_ABS_TRIANGLE_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_id' 'h4/thm/real/REAL_MAX_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_lnot_lxor_r' 'h4/thm/arithmetic/ADD_CLAUSES_e3'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_succ_diag_r' 'h4/thm/real/REAL_POS_INFLATE_'
0. 'coq/Coq_ZArith_BinInt_Z_shiftr_opp_r' 'h4/thm/extreal/extreal_sub_add_'
0. 'coq/Coq_Sorting_Permutation_Permutation_length' 'h4/thm/sorting/PERM_LENGTH_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_lt_mono_r_iff'#@#variant 'h4/thm/arithmetic/EXP_BASE_LE_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_cancel_r' 'h4/thm/rat/RAT_EQ_RMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_ngt' 'h4/thm/rat/RAT_LES_LEQ_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_nonneg_nonneg' 'h4/thm/arithmetic/LESS_MULT2_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_succ_le_mono' 'h4/thm/integerRing/int_rewrites_tLRRRLRRRR'
0. 'coq/Coq_PArith_BinPos_Pos_succ_le_mono' 'h4/thm/numpair/tri_LT_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_id' 'h4/thm/string_num/n2s_s2n_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lt_total' 'h4/thm/arithmetic/LESS_CASES_IMP_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_is_pos'#@#variant 'h4/thm/real/POW_2_LE1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_glb_iff' 'h4/thm/arithmetic/MIN_LE_e1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_move_0_r' 'h4/thm/real/REAL_LNEG_UNIQ_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftr_opp_r' 'h4/thm/rat/RAT_SUB_ADDAINV_'
0. 'coq/Coq_Reals_Raxioms_R1_neq_R0' 'h4/thm/real/REAL_10_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_mul_le_mono_l' 'h4/thm/integer/INT_LE_LADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_nle_gt' 'h4/thm/real/real_lte_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_xO_r' 'h4/thm/arithmetic/ADD_SUC_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_le_mono_l' 'h4/thm/realax/HREAL_LT_LADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_ge_le_iff' 'h4/thm/integer/INT_GE_CALCULATE_'
0. 'coq/Coq_QArith_QArith_base_Qplus_lt_l' 'h4/thm/hreal/HRAT_LT_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_add_lt_sub_r' 'h4/thm/arithmetic/SUB_LEFT_LESS_'
0. 'coq/Coq_Sets_Multiset_meq_refl' 'h4/thm/sorting/PERM_SINGLE_SWAP_REFL_'
0. 'coq/Coq_NArith_BinNat_N_pow_1_l' 'h4/thm/integer/INT_MUL_REDUCE_1'
0. 'coq/Coq_Arith_PeanoNat_Nat_min_r' 'h4/thm/real/REAL_MIN_ALT_e1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ldiff_ldiff_l' 'h4/thm/logroot/EXP_MUL_'
0. 'coq/Coq_ZArith_BinInt_Zpos_eq_iff' 'h4/thm/ieee/roundmode_EQ_roundmode_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_move_r' 'h4/thm/complex/COMPLEX_EQ_SUB_LADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_le_mono' 'h4/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_id' 'h4/thm/frac/frac_bij_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_succ_r_prime' 'h4/thm/arithmetic/EXP_e1'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_min_l' 'h4/thm/real/REAL_MIN_LE1_'
0. 'coq/__constr_Coq_Arith_Even_even_1_1' 'h4/thm/transc/EXP_LT_1_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_pred_succ' 'h4/thm/numRing/num_rewrites_tLLRRRR'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_nonneg' 'h4/thm/integral/LT_0_'
0. 'coq/Coq_Arith_Minus_minus_plus' 'h4/thm/real/REAL_ADD_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_pred_succ' 'h4/thm/prim_rec/PRE_e1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_1_l' 'h4/thm/integer/INT_ADD_LID_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_add_distr' 'h4/thm/arithmetic/SUB_RIGHT_SUB_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_neg_iff' 'h4/thm/DeepSyntax/deep_form_11_5'
0. 'coq/Coq_Lists_List_length_zero_iff_nil' 'h4/thm/quantHeuristics/LIST_LENGTH_20_280'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_add_pos_l'#@#variant 'h4/thm/arithmetic/X_LT_EXP_X_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_max_lub_iff' 'h4/thm/util_prob/MAX_LE_X_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_divide_refl' 'h4/thm/arithmetic/LESS_EQ_REFL_'
0. 'coq/Coq_Bool_Bool_negb_involutive' 'h4/thm/integer/INT_DIV_CALCULATE_e4'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_ngt' 'h4/thm/rat/RAT_LEQ_LES_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_setbit_spec_prime'#@#variant 'h4/thm/complex/complex_sub_'#@#variant
0. 'coq/Coq_NArith_Nnat_N2Nat_id' 'h4/thm/ieee/ccode_BIJ_0'
0. 'coq/Coq_Reals_R_sqr_Rsqr_inv' 'h4/thm/rat/RAT_AINV_MINV_'#@#variant
0. 'coq/Coq_Bool_Bool_diff_false_true' 'h4/thm/ieee/roundmode_distinct_1'
0. 'coq/Coq_Arith_PeanoNat_Nat_double_twice'#@#variant 'h4/thm/integer/INT_NEG_MINUS1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_involutive' 'h4/thm/int_bitwise/int_not_not_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_le_trans' 'h4/thm/integer/INT_LTE_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_1_r' 'h4/thm/HolSmt/r127_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_asymm' 'h4/thm/integer/INT_LT_GT_'
0. 'coq/Coq_Reals_Rtrigo_calc_rad_deg' 'h4/thm/string/IMPLODE_EXPLODE_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_diag' 'h4/thm/HolSmt/r216_'#@#variant
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_l2i_i2l'#@#variant 'h4/thm/ASCIInumbers/toString_toNum_cancel_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_succ_l' 'h4/thm/arithmetic/PRE_SUB_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_id' 'h4/thm/real/REAL_MIN_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_le_mono_r' 'h4/thm/hreal/HRAT_LT_RMUL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_succ_lt_mono' 'h4/thm/integerRing/int_rewrites_tLRRRLRRR'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_lt_mono_l' 'h4/thm/integer/INT_LE_LADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_factor_l' 'h4/thm/integer/INT_DIVIDES_MUL_0'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_incr_twice_plus_one' 'h4/thm/numeral/numeral_iisuc_1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_cancel_l' 'h4/thm/realax/HREAL_EQ_LADD_'
0. 'coq/Coq_QArith_Qcanon_Qclt_le_trans' 'h4/thm/rat/RAT_LES_LEQ_TRANS_'
0. 'coq/Coq_Arith_PeanoNat_Nat_neq_succ_0' 'h4/thm/toto/num_dt_distinct_0'
0. 'coq/Coq_PArith_BinPos_Pos_lt_irrefl' 'h4/thm/integer/INT_LT_REFL_'
0. 'coq/Coq_Reals_Rbasic_fun_Rle_min_compat_r' 'h4/thm/integer/TINT_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rplus_gt_compat_l' 'h4/thm/real/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_1_r' 'h4/thm/HolSmt/r223_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_greatest' 'h4/thm/divides/DIVIDES_ADD_1_'
0. 'coq/Coq_NArith_BinNat_N_sqrt_le_mono' 'h4/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Arith_Factorial_fact_neq_0' 'h4/thm/intto/BIT2_nz_'
0. 'coq/Coq_PArith_BinPos_Pos_le_nlt' 'h4/thm/integer/int_le_'
0. 'coq/Coq_PArith_BinPos_Pos_lt_nle' 'h4/thm/real/real_lt_'
0. 'coq/Coq_NArith_BinNat_N_max_lub_lt_iff' 'h4/thm/util_prob/MAX_LE_X_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_opp' 'h4/thm/complex/CONJ_NEG_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_div_1_r' 'h4/thm/integer/INT_ADD_RID_'
0. 'coq/Coq_QArith_Qround_Qceiling_Z' 'h4/thm/complex/RE_COMPLEX_OF_REAL_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pred_div2_up' 'h4/thm/rat/RAT_AINV_CALCULATE_'
0. 'coq/Coq_Reals_RIneq_Rmult_gt_reg_l'#@#variant 'h4/thm/float/REAL_LE_LCANCEL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pos_pred_succ' 'h4/thm/binary_ieee/float_compare_BIJ_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_alt_dichotomy' 'h4/thm/integer/INT_LE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_cancel_l' 'h4/thm/real/REAL_EQ_LMUL2_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_opp_opp' 'h4/thm/arithmetic/SUB_MONO_EQ_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_neq_succ_0' 'h4/thm/bit/TWOEXP_NOT_ZERO_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rplus_opp_l' 'h4/thm/rat/RAT_ADD_LINV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftl_1_l'#@#variant 'h4/thm/extreal/sub_lzero_'#@#variant
0. 'coq/Coq_ZArith_Zdiv_mod_Zmod' 'h4/thm/integer/INT_DIV_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_lt_mono_r_iff'#@#variant 'h4/thm/arithmetic/EXP_BASE_LT_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_lt_mono_pos_r'#@#variant 'h4/thm/real/REAL_LE_RMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_involutive' 'h4/thm/integer/INT_QUOT_CALCULATE_e4'
0. 'coq/Coq_Sets_Powerset_facts_Empty_set_zero' 'h4/thm/rich_list/APPEND_NIL_e1'
0. 'coq/Coq_ZArith_BinInt_Z_le_sub_le_add_r' 'h4/thm/real/REAL_LT_SUB_LADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_r' 'h4/thm/hrat/TRAT_ADD_WELLDEFINED_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_eq_le_incl' 'h4/thm/HolSmt/t007_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_irrefl' 'h4/thm/string/string_lt_nonrefl_'#@#variant
0. 'coq/Coq_Reals_Rprod_le_n_2n'#@#variant 'h4/thm/prim_rec/LESS_SUC_SUC_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_compare_eq_iff' 'h4/thm/quote/compare_index_equal_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_pos_pos' 'h4/thm/integer/INT_LT_MUL_'
0. 'coq/Coq_Reals_Rpower_exp_le_3'#@#variant 'h4/thm/real/REAL_THIRDS_BETWEEN_2'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_le_mono_l' 'h4/thm/arithmetic/LT_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_add_lt_sub_r' 'h4/thm/integer/INT_LE_SUB_LADD_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigN_BigZ_spec_Z_of_N' 'h4/thm/complex/MODU_NUM_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_succ_l' 'h4/thm/integer/INT_NEG_LMUL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_0_sub'#@#variant 'h4/thm/integer/INT_SUB_LT_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_mul_le_mono_l' 'h4/thm/realax/HREAL_LT_LADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_div_same'#@#variant 'h4/thm/integer/INT_DIV_ID_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_le_sub_le_add_r' 'h4/thm/integer/INT_LT_SUB_LADD_'
0. 'coq/Coq_ZArith_BinInt_Z_gcd_0_l' 'h4/thm/HolSmt/r129_'#@#variant
0. 'coq/Coq_Program_Wf_measure_wf' 'h4/thm/relation/symmetric_inv_image_'
0. 'coq/Coq_Arith_PeanoNat_Nat_succ_inj_wd' 'h4/thm/transc/EXP_INJ_'
0. 'coq/Coq_ZArith_BinInt_Z_max_id' 'h4/thm/arithmetic/MAX_IDEM_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lnot_ones' 'h4/thm/hreal/HREAL_MUL_LINV_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_succ_l' 'h4/thm/rat/RAT_AINV_LMUL_'
0. 'coq/Coq_Reals_Rtrigo_calc_cos_PI3'#@#variant 'h4/thm/arithmetic/ONE_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_sub_lt' 'h4/thm/arithmetic/LESS_DIV_EQ_ZERO_'
0. 'coq/Coq_NArith_BinNat_N_eq_mul_0_r' 'h4/thm/extreal/add_not_infty_0'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_one_neq_zero' 'h4/thm/binary_ieee/rounding_distinct_2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_eq_iff'#@#variant 'h4/thm/integer/INT_ABS_EQ_ID_'#@#variant
0. 'coq/Coq_Reals_RIneq_Req_le' 'h4/thm/real/REAL_EQ_IMP_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_succ' 'h4/thm/numpair/invtri_linverse_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_cancel_l' 'h4/thm/real/REAL_EQ_LADD_'
0. 'coq/Coq_QArith_QOrderedType_QOrder_not_gt_le' 'h4/thm/arithmetic/LESS_CASES_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pos_pred_spec' 'h4/thm/util_prob/lg_pow_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pow_le_mono_l' 'h4/thm/extreal/le_radd_imp_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_le_compat_l' 'h4/thm/extreal/le_ladd_imp_'
0. 'coq/Coq_QArith_Qcanon_Qclt_le_weak' 'h4/thm/extreal/lt_imp_le_'
0. 'coq/Coq_Bool_Bool_negb_involutive_reverse' 'h4/thm/integerRing/int_calculate_12'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_succ_r' 'h4/thm/real/REAL_MUL_RNEG_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_0_l' 'h4/thm/hrat/TRAT_MUL_LID_'#@#variant
0. 'coq/Coq_Reals_R_sqrt_sqrt_le_1_alt' 'h4/thm/transc/EXP_MONO_IMP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_mul_r' 'h4/thm/arithmetic/SUB_PLUS_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_lt_mono' 'h4/thm/numpair/tri_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_opp_diag_l' 'h4/thm/hreal/HREAL_MUL_LINV_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_le_mono_r' 'h4/thm/arithmetic/LT_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_gt_cases' 'h4/thm/real/REAL_LTE_TOTAL_'
0. 'coq/Coq_Reals_RIneq_Ropp_involutive' 'h4/thm/rat/RAT_AINV_AINV_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_1' 'h4/thm/extreal/neg_0_'
0. 'coq/Coq_NArith_BinNat_N_sub_diag' 'h4/thm/integer/INT_SUB_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pos_pred_succ' 'h4/thm/integer/NUM_OF_INT_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigN_BigZ_spec_Z_of_N' 'h4/thm/complex/complex_of_num_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_succ_r' 'h4/thm/arithmetic/ADD_CLAUSES_e3'
0. 'coq/Coq_ZArith_BinInt_Z_sub_0_l' 'h4/thm/integer/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_lcm_l' 'h4/thm/hreal/HRAT_LT_ADDL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_1_l'#@#variant 'h4/thm/extreal/le_infty_tLL'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_xO_r' 'h4/thm/rat/RAT_AINV_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div2_double' 'h4/thm/string/IMPLODE_EXPLODE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_ge_le_iff' 'h4/thm/integer/int_gt_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lnot_lxor_r' 'h4/thm/numpair/napp_thm_e1'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_iff' 'h4/thm/prelim/ordering_EQ_ordering_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_le_iff' 'h4/thm/arithmetic/MAX_LT_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sub_succ' 'h4/thm/complex/COMPLEX_NEG_DIV2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_testbit_even_0'#@#variant 'h4/thm/toto/numeralOrd_3'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_1_l' 'h4/thm/HolSmt/r079_'
0. 'coq/Coq_Reals_Rbasic_fun_Rle_max_compat_r' 'h4/thm/integer/TINT_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_nle' 'h4/thm/integer/int_le_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_eq_0_l' 'h4/thm/transc/RPOW_NZ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_succ_le_mono' 'h4/thm/integerRing/int_rewrites_tLRRRRLRRR'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_eq_0_r' 'h4/thm/extreal/add_not_infty_0'
0. 'coq/Coq_ZArith_BinInt_Z_le_lt_trans' 'h4/thm/arithmetic/LESS_EQ_LESS_TRANS_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_succ_l' 'h4/thm/frac/FRAC_AINV_LMUL_'
0. 'coq/Coq_Reals_Rprod_le_n_2n'#@#variant 'h4/thm/arithmetic/LESS_EQ_SUC_REFL_'
0. 'coq/Coq_Reals_RIneq_Rgt_ge_trans' 'h4/thm/integer/INT_LTE_TRANS_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_min_r' 'h4/thm/extreal/min_le2_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_iff' 'h4/thm/complex/COMPLEX_OF_NUM_EQ_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_max_id' 'h4/thm/gcd/GCD_REF_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_glb' 'h4/thm/divides/DIVIDES_SUB_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_succ_lt_mono' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_1_l' 'h4/thm/integral/LE_0_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_le_compat_r' 'h4/thm/arithmetic/LESS_MONO_MULT_'
0. 'coq/Coq_ZArith_BinInt_Z_add_pos_pos' 'h4/thm/integer/INT_LT_MUL_'
0. 'coq/Coq_ZArith_BinInt_Z_lnot_land' 'h4/thm/complex/COMPLEX_EXP_SUB_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_max_r' 'h4/thm/hreal/HRAT_LT_ADDR_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_lt_mono_pos_l'#@#variant 'h4/thm/int_arith/justify_divides_'#@#variant
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_eqk_refl'#@#variant 'h4/thm/Encode/biprefix_refl_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_rem_0_l' 'h4/thm/integer/INT_DIV_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sub_le_mono_r' 'h4/thm/hrat/TRAT_MUL_WELLDEFINED_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_lt_mono_pos_l'#@#variant 'h4/thm/logroot/LE_EXP_ISO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_succ_l' 'h4/thm/arithmetic/ADD_e1'
0. 'coq/Coq_ZArith_BinInt_Z_gt_lt_iff' 'h4/thm/rat/rat_geq_def_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_asymm' 'h4/thm/realax/HREAL_LT_GT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_pos_nonneg'#@#variant 'h4/thm/extreal/let_mul_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_div_pos'#@#variant 'h4/thm/arithmetic/ONE_LT_MULT_IMP_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rle_min_compat_l' 'h4/thm/realax/REAL_LT_IADD_'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_lt_not_gt' 'h4/thm/real/REAL_LT_GT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_lt_mono_pos_r'#@#variant 'h4/thm/real/REAL_LT_RMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_irrefl' 'h4/thm/real/REAL_LT_REFL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_le_mono' 'h4/thm/numpair/tri_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_neg_nonpos' 'h4/thm/rat/RAT_LES0_LEQ0_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_pred' 'h4/thm/numeral/iDUB_removal_1'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_neq_succ_0' 'h4/thm/num/ZERO_REP_DEF_'
0. 'coq/Coq_NArith_BinNat_N_lt_nge' 'h4/thm/rat/RAT_LES_LEQ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_lxor_l' 'h4/thm/frac/FRAC_AINV_LMUL_'
0. 'coq/Coq_NArith_BinNat_N_add_nonneg_nonneg' 'h4/thm/integer/TINT_LT_MUL_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_le_succ_diag_r' 'h4/thm/divides/INDEX_LESS_PRIMES_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div_str_pos' 'h4/thm/bit/DIV_GT0_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_succ_discr' 'h4/thm/prim_rec/SUC_ID_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_0_r' 'h4/thm/arithmetic/LESS_EQ_0_'
0. 'coq/Coq_ZArith_BinInt_Z_lnot_lxor_r' 'h4/thm/frac/FRAC_AINV_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_divide_xO_xO' 'h4/thm/numeral/numeral_distrib_28'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_eq_sym_iff' 'h4/thm/rat/RAT_EQUIV_SYM_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_1' 'h4/thm/transc/TAN_0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftl_1_l'#@#variant 'h4/thm/integer/INT_SUB_REDUCE_1'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_compare_succ' 'h4/thm/toto/num_dtOrd_7'
0. 'coq/Coq_Reals_R_sqrt_sqrt_positivity'#@#variant 'h4/thm/extreal/sqrt_pos_lt_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_le_incl' 'h4/thm/integer/INT_LT_IMP_LE_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_double_size' 'h4/thm/complex/MODU_NEG_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_le_max_l' 'h4/thm/extreal/le_max1_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_succ_diag_r' 'h4/thm/real/REAL_POS_INFLATE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_succ_r' 'h4/thm/rat/RAT_AINV_RMUL_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_iff' 'h4/thm/complex/COMPLEX_OF_NUM_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_sub_le' 'h4/thm/arithmetic/LESS_DIV_EQ_ZERO_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_double_twice'#@#variant 'h4/thm/real/REAL_NEG_MINUS1_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_pos_lt'#@#variant 'h4/thm/intExtension/INT_ABS_NOT0POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_divide_mono_r' 'h4/thm/extreal/le_radd_imp_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_le_mono' 'h4/thm/numpair/tri_LT_I_'
0. 'coq/Coq_QArith_Qcanon_Q_apart_0_1'#@#variant 'h4/thm/ieee/ccode_distinct_e5'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ldiff_m1_l'#@#variant 'h4/thm/rat/RAT_SUB_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_pred_r' 'h4/thm/extreal/mul_rneg_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_le_incl' 'h4/thm/extreal/lt_imp_le_'
0. 'coq/Coq_NArith_BinNat_N_lnot_0_l' 'h4/thm/HolSmt/r129_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_1_l' 'h4/thm/integer/INT_SUB_REDUCE_1'
0. 'coq/Coq_FSets_FSetPositive_PositiveSet_E_bits_lt_antirefl' 'h4/thm/realax/TREAL_LT_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_div2_double'#@#variant 'h4/thm/bit/LOG2_TWOEXP_'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qclt_le_trans' 'h4/thm/arithmetic/LESS_LESS_EQ_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_div2_double'#@#variant 'h4/thm/numeral_bit/NUMERAL_iDIV2_2'
0. 'coq/Coq_PArith_BinPos_Pos_succ_le_mono' 'h4/thm/numeral/numeral_lt_3'
0. 'coq/Coq_Reals_RIneq_Rlt_irrefl' 'h4/thm/hreal/HRAT_LT_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lcm_1_l'#@#variant 'h4/thm/HolSmt/r128_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_1_r' 'h4/thm/rat/RAT_SUB_RID_'
0. 'coq/Coq_ZArith_BinInt_Zopp_mult_distr_l' 'h4/thm/complex/COMPLEX_NEG_LDIV_'#@#variant
0. 'coq/Coq_Bool_Bool_negb_xorb_r' 'h4/thm/real/REAL_MUL_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_divide_mono_l' 'h4/thm/integer/TINT_LT_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_ldiff_ldiff_l' 'h4/thm/arithmetic/EXP_EXP_MULT_'
0. 'coq/Coq_ZArith_Znat_N_nat_Z' 'h4/thm/rat/rat_dnm_def_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_iff' 'h4/thm/integerRing/int_rewrites_tLRRRRRRRRL'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_negb_odd' 'h4/thm/numRing/num_ring_thms_e17'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_add_r' 'h4/thm/integer/INT_DIVIDES_MUL_0'
0. 'coq/Coq_Arith_Plus_le_plus_r' 'h4/thm/hreal/HRAT_LT_ADDR_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_eq_le_incl' 'h4/thm/realax/TREAL_EQ_AP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_lt_mono_l' 'h4/thm/real/REAL_LE_LADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_rem_same' 'h4/thm/integer/INT_MOD_ID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_trichotomy' 'h4/thm/hreal/HREAL_LT_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lnot_lxor_r' 'h4/thm/numpair/napp_thm_e1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_lt_mono_r' 'h4/thm/integer/INT_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_le_compat_r' 'h4/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_sub_le_add_r' 'h4/thm/arithmetic/SUB_LEFT_LESS_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_divide_add_cancel_l' 'h4/thm/poly/POLY_DIVIDES_SUB2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lcm_diag' 'h4/thm/arithmetic/MIN_IDEM_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_le_mono' 'h4/thm/integer/INT_LT_NEG_'
0. 'coq/Coq_Arith_PeanoNat_Nat_succ_lt_mono' 'h4/thm/transc/EXP_MONO_LE_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_lt_mono_r' 'h4/thm/integer/INT_LE_RADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_lt_iff' 'h4/thm/arithmetic/MIN_LT_0'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_le_mono' 'h4/thm/numpair/tri_LT_I_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_clearbit_spec_prime'#@#variant 'h4/thm/complex/COMPLEX_SUB_RNEG_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_pred_succ' 'h4/thm/numeral_bit/NUMERAL_iDIV2_2'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_negb_even' 'h4/thm/util_prob/lg_pow_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_lt_mono_nonneg'#@#variant 'h4/thm/integer/INT_LT_MUL2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_asymm' 'h4/thm/realax/HREAL_LT_GT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_lt_mono_pos_r'#@#variant 'h4/thm/logroot/EXP_LE_ISO_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_min_glb_lt' 'h4/thm/divides/DIVIDES_ADD_1_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lcm_eq_0' 'h4/thm/intExtension/INT_NO_ZERODIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_le_mono_pos_l'#@#variant 'h4/thm/logroot/LT_EXP_ISO_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_succ_l' 'h4/thm/integer/INT_NEG_LMUL_'
0. 'coq/Coq_Reals_Rsqrt_def_pow_2_n_neq_R0' 'h4/thm/extreal/num_not_infty_e1'
0. 'coq/Coq_ZArith_BinInt_Z_add_nonpos_nonpos' 'h4/thm/intExtension/INT_LT_ADD_NEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_double'#@#variant 'h4/thm/transc/LN_INV_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_succ_l' 'h4/thm/integer/INT_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_nle_gt' 'h4/thm/integer/INT_NOT_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div_1_r' 'h4/thm/HolSmt/r127_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_lt_mono_r' 'h4/thm/hreal/HRAT_LT_RMUL_'
0. 'coq/Coq_Init_Peano_plus_n_Sm' 'h4/thm/real/REAL_NEG_RMUL_'
0. 'coq/Coq_ZArith_Zlogarithm_ZERO_le_N_digits' 'h4/thm/prim_rec/LESS_0_'
0. 'coq/Coq_NArith_Ndist_ni_le_refl' 'h4/thm/hrat/TRAT_EQ_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sub_le_mono_l' 'h4/thm/extreal/le_lsub_imp_'
0. 'coq/Coq_ZArith_BinInt_Z_max_lub_lt_iff' 'h4/thm/util_prob/MAX_LE_X_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_lcm_r' 'h4/thm/real/REAL_LE_MAX2_'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_pos'#@#variant 'h4/thm/transc/LN_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_1' 'h4/thm/real/ABS_0_'
0. 'coq/Coq_Sets_Multiset_meq_refl' 'h4/thm/rich_list/IS_SUFFIX_REFL_'
0. 'coq/Coq_ZArith_Zorder_Zeq_plus_swap' 'h4/thm/real/REAL_EQ_SUB_LADD_'
0. 'coq/Coq_ZArith_BinInt_Z_divide_mul_r' 'h4/thm/integer/INT_DIVIDES_RMUL_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_simpl_r' 'h4/thm/arithmetic/ADD_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_1' 'h4/thm/real/REAL_INV_0_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_nonneg_l'#@#variant 'h4/thm/extreal/le_lmul_imp_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mod_1_r' 'h4/thm/arithmetic/MOD_ONE_'
0. 'coq/Coq_ZArith_Znat_N2Z_id' 'h4/thm/integer/NUM_OF_INT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_le_compat_l' 'h4/thm/realax/REAL_LT_IADD_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_opp' 'h4/thm/quote/index_size_def_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_divide_mono_r' 'h4/thm/arithmetic/LESS_MONO_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_le_mono_pos_l'#@#variant 'h4/thm/transc/RPOW_LT_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_add_le' 'h4/thm/real/ABS_TRIANGLE_'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_le_neq' 'h4/thm/realax/REAL_LT_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_ldiff_ldiff_l' 'h4/thm/frac/FRAC_SUB_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_inj_wd' 'h4/thm/toto/num_dt_11_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_lt_mono' 'h4/thm/numpair/tri_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_0_sub'#@#variant 'h4/thm/integer/INT_SUB_LE_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_of_Qc' 'h4/thm/ieee/ccode_BIJ_0'
0. 'coq/Coq_Strings_Ascii_ascii_nat_embedding' 'h4/thm/binary_ieee/num2rounding_rounding2num_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_inj_wd' 'h4/thm/string/IMPLODE_11_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_r' 'h4/thm/real/REAL_MAX_ALT_0'
0. 'coq/Coq_ZArith_BinInt_Zsucc_pred' 'h4/thm/transc/ATN_e2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_eq_cases' 'h4/thm/integer/INT_LE_LT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mod_1_r'#@#variant 'h4/thm/arithmetic/EXP_0'#@#variant
0. 'coq/Coq_NArith_BinNat_N_ldiff_diag' 'h4/thm/integer/INT_SUB_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_opp_r' 'h4/thm/complex/complex_sub_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_nge' 'h4/thm/HolSmt/r115_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_lt_trans' 'h4/thm/integer/INT_LET_TRANS_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_nge' 'h4/thm/real/real_lte_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_pos_pos' 'h4/thm/integer/INT_LT_MUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_lt_mono_pos_r'#@#variant 'h4/thm/real/REAL_LT_RDIV_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_xO_r' 'h4/thm/real/REAL_MUL_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_nge' 'h4/thm/real/real_lt_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_0_iff' 'h4/thm/real/REAL_INV_EQ_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_antisym' 'h4/thm/divides/DIVIDES_ANTISYM_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_lt_mono_pos_l'#@#variant 'h4/thm/rat/RAT_LES_LMUL_POS_'#@#variant
0. 'coq/Coq_Reals_Rfunctions_poly'#@#variant 'h4/thm/real/POW_PLUS1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_lt_mono_r' 'h4/thm/integer/INT_LE_RADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lcm_divide_iff' 'h4/thm/util_prob/MAX_LE_X_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_nle_gt' 'h4/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_id' 'h4/thm/ieee/roundmode_BIJ_0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_lt_mono_r_iff'#@#variant 'h4/thm/rat/RAT_LES_LMUL_POS_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_sub_r' 'h4/thm/divides/DIVIDES_ADD_1_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_nlt_ge' 'h4/thm/real/REAL_NOT_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_1_mul_pos'#@#variant 'h4/thm/arithmetic/ONE_LT_MULT_IMP_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_divide_l' 'h4/thm/extreal/min_le1_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_le_mono_pos_r' 'h4/thm/logroot/EXP_LE_ISO_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pos_pred_spec' 'h4/thm/numRing/num_ring_thms_e17'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_quot_le_mono' 'h4/thm/arithmetic/DIV_LE_MONOTONE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_negb_odd' 'h4/thm/util_prob/lg_pow_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_is_nonneg'#@#variant 'h4/thm/integer/INT_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_diag' 'h4/thm/arithmetic/TIMES2_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pow_le_mono_l' 'h4/thm/arithmetic/LESS_MONO_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_ldiff_diag' 'h4/thm/integer/INT_SUB_REFL_'#@#variant
0. 'coq/Coq_NArith_Ndist_ni_le_refl' 'h4/thm/rat/RAT_EQUIV_REF_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_le_mono' 'h4/thm/integer/TINT_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_pred_l' 'h4/thm/complex/COMPLEX_MUL_LNEG_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_quot_le_mono'#@#variant 'h4/thm/extreal/le_rmul_imp_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_le_mono' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_eq_cases' 'h4/thm/real/REAL_LE_LT_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_le_trans' 'h4/thm/integer/INT_LTE_TRANS_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_sub_1_r' 'h4/thm/arithmetic/PRE_SUB1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_le_compat_r' 'h4/thm/arithmetic/LESS_MONO_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_le_mono_l' 'h4/thm/realax/HREAL_LT_LADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_nonneg'#@#variant 'h4/thm/numeral/numeral_distrib_32'
0. 'coq/Coq_QArith_QArith_base_Qplus_lt_l' 'h4/thm/integer/INT_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_nonneg_nonneg' 'h4/thm/integer/INT_LT_MUL_'
0. 'coq/Coq_NArith_BinNat_N_le_add_le_sub_r' 'h4/thm/extreal/le_sub_imp_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_succ_diag_r' 'h4/thm/arithmetic/LESS_EQ_SUC_REFL_'
0. 'coq/Coq_ZArith_Zorder_Zmult_lt_compat_l'#@#variant 'h4/thm/extreal/le_lmul_imp_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sgn_null_iff' 'h4/thm/integer/INT_MOD_CALCULATE_e4'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lcm_diag' 'h4/thm/real/REAL_MAX_REFL_'
0. 'coq/Coq_QArith_Qcanon_Qcle_refl' 'h4/thm/rat/RAT_LEQ_REF_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_neq' 'h4/thm/integer/INT_LT_IMP_NE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_le_iff' 'h4/thm/arithmetic/MAX_LT_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_l' 'h4/thm/real/REAL_MIN_ALT_0'
0. 'coq/Coq_Reals_RIneq_Rge_not_gt' 'h4/thm/integer/INT_LET_ANTISYM_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_nlt_0_r' 'h4/thm/extreal/lt_infty_3'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_pos'#@#variant 'h4/thm/extreal/lt_infty_0'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_id' 'h4/thm/realax/TREAL_BIJ_0'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_opp_r' 'h4/thm/real/real_div_'
0. 'coq/Coq_Arith_PeanoNat_Nat_succ_inj_wd' 'h4/thm/numRing/num_rewrites_tLRRRRRRLR'
0. 'coq/Coq_ZArith_BinInt_Z_lt_nge' 'h4/thm/integer/INT_NOT_LE_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_double_size_level' 'h4/thm/DeepSyntax/deep_form_size_def_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_cancel_l' 'h4/thm/real/REAL_EQ_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_le_compat_l' 'h4/thm/integer/TINT_LT_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lxor_nilpotent' 'h4/thm/rat/RAT_SUB_ID_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_le_iff' 'h4/thm/arithmetic/MIN_LT_0'
0. 'coq/Coq_ZArith_BinInt_Z_shiftr_opp_r' 'h4/thm/rat/RAT_DIV_MULMINV_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_opp' 'h4/thm/complex/COMPLEX_INV_NEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_refl' 'h4/thm/divides/DIVIDES_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_divide_Zpos' 'h4/thm/string/char_le_def_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_1_l' 'h4/thm/HolSmt/r129_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_irrefl' 'h4/thm/rat/RAT_LES_REF_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_pos_nonneg'#@#variant 'h4/thm/extreal/let_mul_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_lcm_r' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_1'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_glb' 'h4/thm/divides/DIVIDES_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_eq_0_gt_0_cases'#@#variant 'h4/thm/arithmetic/LESS_0_CASES_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_glb_iff' 'h4/thm/arithmetic/MIN_LE_e1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_0_sub'#@#variant 'h4/thm/extreal/sub_zero_le_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_succ_l' 'h4/thm/complex/COMPLEX_NEG_LDIV_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qplus_le_l' 'h4/thm/arithmetic/LESS_EQ_MONO_ADD_EQ_'
0. 'coq/Coq_ZArith_Zorder_Zplus_gt_compat_l' 'h4/thm/real/REAL_LE_LADD_IMP_'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_iff' 'h4/thm/integer/INT_MOD_CALCULATE_3'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_involutive' 'h4/thm/real/ABS_ABS_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_neq' 'h4/thm/prim_rec/LESS_NOT_EQ_'
0. 'coq/Coq_NArith_BinNat_N_le_0_r' 'h4/thm/arithmetic/LE_0'
0. 'coq/Coq_ZArith_BinInt_Z_pow_1_r' 'h4/thm/real/REAL_SUB_RZERO_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_add_r' 'h4/thm/divides/DIVIDES_SUB_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_compare_xO_xO' 'h4/thm/toto/num_dtOrd_7'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_inj_wd' 'h4/thm/real/REAL_EQ_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_max_l' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_le_mono' 'h4/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pow_1_r' 'h4/thm/HolSmt/r080_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_of_Qc' 'h4/thm/ASCIInumbers/toNum_toString_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sub_cancel_r' 'h4/thm/rat/RAT_EQ_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div_str_pos'#@#variant 'h4/thm/bit/DIV_GT0_'#@#variant
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_l2i_i2l' 'h4/thm/ASCIInumbers/toNum_toString_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_r' 'h4/thm/arithmetic/LESS_MONO_ADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mod_mul' 'h4/thm/integer/INT_REM_COMMON_FACTOR_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_nonneg_nonpos'#@#variant 'h4/thm/extreal/mul_lte_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_ones_equiv'#@#variant 'h4/thm/numeral/numeral_pre_e4'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_le_trans' 'h4/thm/integer/INT_LTE_TRANS_'
0. 'coq/Coq_ZArith_Zeven_Zodd_not_Zeven' 'h4/thm/float/FLOAT_DISTINCT_3'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_gcd_divide_iff' 'h4/thm/integral/REAL_LT_MIN_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_lt' 'h4/thm/integer/INT_LT_'
0. 'coq/Coq_ZArith_BinInt_Z_add_cancel_r' 'h4/thm/arithmetic/EQ_ADD_RCANCEL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_le_compat_r' 'h4/thm/integer/TINT_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_greatest' 'h4/thm/divides/DIVIDES_ADD_1_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mod_1_r'#@#variant 'h4/thm/numeral/numeral_exp_0'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_succ'#@#variant 'h4/thm/real/real_of_num_e1'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_xO_r' 'h4/thm/complex/COMPLEX_MUL_RNEG_'#@#variant
0. 'coq/Coq_QArith_Qround_Qceiling_Z' 'h4/thm/patricia_casts/num_to_string_string_to_num_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mod_0_l' 'h4/thm/integer/INT_DIV_0_'#@#variant
0. 'coq/Coq_Reals_Rfunctions_pow_nonzero' 'h4/thm/extreal/pow_zero_imp_'#@#variant
0. 'coq/Coq_ZArith_Zquot_Z_quot_pos' 'h4/thm/integer/TINT_LT_MUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_l' 'h4/thm/real/REAL_MIN_ALT_0'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_2' 'h4/thm/real/REAL_THIRDS_BETWEEN_tLRL'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_lt_mono_l' 'h4/thm/integer/INT_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pred_le_mono' 'h4/thm/bit/TWOEXP_MONO_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_1' 'h4/thm/real/REAL_THIRDS_BETWEEN_tLRL'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_lt_mono_r' 'h4/thm/integer/INT_LT_RADD_'
0. 'coq/Coq_ZArith_BinInt_Z_opp_succ' 'h4/thm/numeral/numeral_suc_e2'
0. 'coq/Coq_PArith_BinPos_Pos_min_lt_iff' 'h4/thm/arithmetic/MIN_LE_0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_refl' 'h4/thm/realax/TREAL_EQ_REFL_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_nle_succ_0' 'h4/thm/arithmetic/NOT_SUC_LESS_EQ_0_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_nonneg_l'#@#variant 'h4/thm/integral/REAL_LE_LMUL1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_setbit_spec_prime'#@#variant 'h4/thm/complex/complex_div_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_1' 'h4/thm/integer/INT_NEG_0_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_add_diag_r' 'h4/thm/integer/INT_DIVIDES_MUL_0'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_le_mono_r_iff'#@#variant 'h4/thm/arithmetic/EXP_BASE_LT_MONO_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_le_alt_dichotomy' 'h4/thm/extreal/le_total_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_le_mono_r' 'h4/thm/arithmetic/LT_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_neg_pos'#@#variant 'h4/thm/real/REAL_NEG_LT0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_square_nonneg'#@#variant 'h4/thm/integer/INT_LE_SQUARE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_succ' 'h4/thm/string/IMPLODE_EXPLODE_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_succ_inj_wd' 'h4/thm/complex/CONJ_EQ2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_succ_not_1' 'h4/thm/toto/num_dt_distinct_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ldiff_land' 'h4/thm/frac/frac_sub_def_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_add_lt_sub_r' 'h4/thm/real/REAL_LT_ADD_SUB_'
0. 'coq/Coq_ZArith_Zeven_Zodd_Sn' 'h4/thm/transc/EXP_LT_1_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_inj' 'h4/thm/divides/PRIMES_11_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lcm_1_l' 'h4/thm/realax/TREAL_ADD_LID_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_lt_mono'#@#variant 'h4/thm/integer/INT_LT_MUL2_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_pow_0_l_prime' 'h4/thm/integer/INT_DIV_0_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_lt_iff' 'h4/thm/arithmetic/MIN_LE_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_lub' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_e2'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_succ_le_mono' 'h4/thm/numpair/tri_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_lub_iff' 'h4/thm/extreal/max_le_'
0. 'coq/Coq_ZArith_Zlogarithm_log_inf_correct2/0' 'h4/thm/complex/RE_IM_LE_MODU_e1'#@#variant
0. 'coq/Coq_Reals_RIneq_Rmult_lt_compat_r'#@#variant 'h4/thm/integral/REAL_LE_RMUL1_'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qcmult_integral'#@#variant 'h4/thm/extreal/add_not_infty_e1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_add_lt_sub_r' 'h4/thm/rat/RAT_RSUB_LES_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_le_mono_l' 'h4/thm/integer/LT_LADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_lteq' 'h4/thm/real/REAL_LE_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_rem_1_r'#@#variant 'h4/thm/numeral/numeral_distrib_11'#@#variant
0. 'coq/Coq_Reals_Rpower_ln_mult'#@#variant 'h4/thm/transc/LN_DIV_'#@#variant
0. 'coq/__constr_Coq_Init_Peano_le_0_1' 'h4/thm/arithmetic/LESS_EQ_REFL_'
0. 'coq/Coq_ZArith_Zeven_Zquot2_opp' 'h4/thm/numeral/numeral_distrib_16'
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_le_mono' 'h4/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_le_trans' 'h4/thm/arithmetic/LESS_LESS_EQ_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftl_mul_pow2'#@#variant 'h4/thm/extreal/sub_rneg_'
0. 'coq/Coq_QArith_Qminmax_Q_max_lub_lt_iff' 'h4/thm/arithmetic/MAX_LE_e1'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_le_mono_r' 'h4/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_ZArith_Zeven_Zeven_not_Zodd' 'h4/thm/float/FLOAT_DISTINCT_5'
0. 'coq/Coq_QArith_QArith_base_Qplus_le_l' 'h4/thm/real/REAL_LE_SUB_CANCEL2_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_opp' 'h4/thm/complex/CONJ_INV_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lnot_0_l' 'h4/thm/numeral/numeral_texp_help_0'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_lt_mono_r' 'h4/thm/arithmetic/LE_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_le_mono' 'h4/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lxor_nilpotent' 'h4/thm/rat/RAT_SUB_ID_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pow_lt_mono_r_iff' 'h4/thm/real/REAL_LT_LMUL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_divide_mono_l' 'h4/thm/real/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_double_inj' 'h4/thm/divides/PRIMES_11_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_gt_cases' 'h4/thm/real/REAL_LTE_TOTAL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_nonneg_r'#@#variant 'h4/thm/extreal/le_rmul_imp_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_1_l' 'h4/thm/integer/INT_ADD_CALCULATE_0'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_pos_pos' 'h4/thm/realax/TREAL_LT_MUL_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_compare_succ' 'h4/thm/quote/index_compare_def_7'
0. 'coq/Coq_PArith_BinPos_Pos_min_r' 'h4/thm/real/REAL_MIN_ALT_e1'
0. 'coq/Coq_Reals_Ratan_Ropp_div' 'h4/thm/frac/FRAC_AINV_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_lteq' 'h4/thm/integral/LE_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_clearbit_spec_prime'#@#variant 'h4/thm/integer/int_sub_'
0. 'coq/Coq_NArith_BinNat_N_clearbit_spec_prime'#@#variant 'h4/thm/extreal/extreal_sub_add_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lxor_nilpotent' 'h4/thm/real/REAL_SUB_REFL_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lt_ge_cases' 'h4/thm/integer/INT_LET_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_gcd_greatest' 'h4/thm/divides/DIVIDES_ADD_1_'
0. 'coq/Coq_PArith_Pnat_SuccNat2Pos_inj_iff' 'h4/thm/ASCIInumbers/toString_inj_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_1_l' 'h4/thm/integer/INT_MUL_LZERO_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_quot_same'#@#variant 'h4/thm/integer/INT_QUOT_ID_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_opp_r' 'h4/thm/arithmetic/ADD_SUC_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_lt' 'h4/thm/integer/INT_ABS_LE_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftr_opp_r' 'h4/thm/extreal/extreal_sub_add_'
0. 'coq/Coq_QArith_QArith_base_Qmult_1_l'#@#variant 'h4/thm/realax/TREAL_MUL_LID_'#@#variant
0. 'coq/Coq_Arith_Even_even_or_odd' 'h4/thm/arithmetic/EVEN_OR_ODD_'
0. 'coq/Coq_QArith_QArith_base_inject_Z_opp' 'h4/thm/complex/COMPLEX_OF_REAL_INV_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_div2' 'h4/thm/extreal/extreal_ainv_def_e2'
0. 'coq/Coq_Reals_R_sqrt_sqrt_pow2'#@#variant 'h4/thm/transc/POW_2_SQRT_'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_le' 'h4/thm/integer/INT_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftr_div_pow2'#@#variant 'h4/thm/complex/complex_div_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_pos'#@#variant 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_0_discr' 'h4/thm/bit/TWOEXP_NOT_ZERO_'#@#variant
0. 'coq/Coq_QArith_Qminmax_Q_le_max_r' 'h4/thm/extreal/le_max2_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_trichotomy' 'h4/thm/hreal/HREAL_LT_TOTAL_'
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_pos_r'#@#variant 'h4/thm/real/REAL_LT_RMUL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lt_trichotomy' 'h4/thm/extreal/lt_total_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_refl' 'h4/thm/rat/RAT_EQUIV_REF_'
0. 'coq/Coq_PArith_BinPos_Pos_compare_xI_xI' 'h4/thm/toto/qk_numeralOrd_6'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_1_l'#@#variant 'h4/thm/extreal/sub_lzero_'#@#variant
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_double'#@#variant 'h4/thm/toto/num_dt_size_def_e2'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_compare_succ_succ' 'h4/thm/quote/index_compare_def_5'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_id' 'h4/thm/num/num_ISO_DEF_0'
0. 'coq/Coq_QArith_Qminmax_Q_min_le_iff' 'h4/thm/real/REAL_MIN_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_sub' 'h4/thm/real/REAL_SUB_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_add_diag_r' 'h4/thm/real/REAL_LE_MAX1_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_0_l' 'h4/thm/util_prob/lg_def_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_wf_0' 'h4/thm/arithmetic/transitive_LESS_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_le_compat_l' 'h4/thm/realax/TREAL_LT_ADD_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_negb_odd' 'h4/thm/numRing/num_ring_thms_e17'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_cancel_l' 'h4/thm/integer/INT_EQ_LADD_'
0. 'coq/Coq_NArith_BinNat_N_add_1_l'#@#variant 'h4/thm/numeral/numeral_texp_help_0'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_id' 'h4/thm/gcd/GCD_REF_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_nle' 'h4/thm/real/REAL_NOT_LT_'
0. 'coq/Coq_Reals_RIneq_Ropp_involutive' 'h4/thm/real/REAL_NEG_NEG_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_succ_l' 'h4/thm/arithmetic/LESS_EQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_ngt' 'h4/thm/rat/RAT_LEQ_LES_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_compare_xO_xO' 'h4/thm/quote/index_compare_def_7'
0. 'coq/Coq_ZArith_BinInt_Z_opp_inj_wd' 'h4/thm/extreal/eq_neg_'
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_le_mono' 'h4/thm/integer/TINT_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_pow' 'h4/thm/real/REAL_MUL_LNEG_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_glb_iff' 'h4/thm/extreal/le_min_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_le_mono' 'h4/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_nonneg' 'h4/thm/arithmetic/FACT_LESS_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_le_mono' 'h4/thm/bit/TWOEXP_MONO2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_xI_succ_xO' 'h4/thm/numRing/num_rewrites_tLRLRR'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_glb_lt_iff' 'h4/thm/integral/REAL_LT_MIN_'
0. 'coq/Coq_Arith_PeanoNat_Nat_min_le_compat_r' 'h4/thm/integer/TINT_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_div_mul' 'h4/thm/real/REAL_DIV_RMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftl_mul_pow2'#@#variant 'h4/thm/frac/frac_div_def_'
0. 'coq/Coq_QArith_Qround_Qfloor_Z' 'h4/thm/ieee/roundmode_BIJ_0'
0. 'coq/Coq_ZArith_BinInt_Z_succ_pred' 'h4/thm/string/IMPLODE_EXPLODE_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_le_incl' 'h4/thm/real/REAL_LT_IMP_LE_'
0. 'coq/Coq_Reals_Rtrigo_calc_rad_deg' 'h4/thm/bit/LOG2_TWOEXP_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_div_0_l' 'h4/thm/integer/INT_MOD0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_gt_lin_r'#@#variant 'h4/thm/arithmetic/X_LT_EXP_X_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_lt_cancel' 'h4/thm/arithmetic/LESS_MONO_REV_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_divide_mono_r' 'h4/thm/arithmetic/LESS_MONO_MULT_'
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_divide_iff' 'h4/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mod_1_r'#@#variant 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRL'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_diag' 'h4/thm/integer/INT_SUB_REFL_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_lub' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_e2'
0. 'coq/Coq_Reals_Rbasic_fun_Rmin_l' 'h4/thm/real/REAL_MIN_LE1_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftr_div_pow2'#@#variant 'h4/thm/real/REAL_SUB_RNEG_'
0. 'coq/Coq_Sets_Uniset_leb_refl' 'h4/thm/divides/DIVIDES_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_0_r' 'h4/thm/arithmetic/LESS_EQ_0_'
0. 'coq/Coq_ZArith_Zgcd_alt_Zgcd_bound_opp' 'h4/thm/complex/MODU_CONJ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_lteq' 'h4/thm/string/string_le_def_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lxor_eq' 'h4/thm/extreal/sub_0_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_divide_mono_r' 'h4/thm/hrat/TRAT_MUL_WELLDEFINED_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lt_neq' 'h4/thm/prim_rec/NOT_LESS_EQ_'
0. 'coq/Coq_Arith_PeanoNat_Nat_testbit_even_0'#@#variant 'h4/thm/toto/numeralOrd_4'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_cancel_l' 'h4/thm/arithmetic/EQ_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lxor_eq_0_iff' 'h4/thm/rat/RAT_EQ_0SUB_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_min_le_compat_r' 'h4/thm/hrat/TRAT_MUL_WELLDEFINED_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rmult_gt_0_compat' 'h4/thm/rat/RAT_LES0_LES0_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_1_l'#@#variant 'h4/thm/extreal/sub_lzero_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_min_glb_lt' 'h4/thm/divides/DIVIDES_SUB_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_involutive' 'h4/thm/complex/COMPLEX_NEGNEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_mul_r' 'h4/thm/arithmetic/EXP_EXP_MULT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_nonneg' 'h4/thm/arithmetic/FACT_LESS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mod_1_r'#@#variant 'h4/thm/integer/INT_MOD_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_le' 'h4/thm/integer/INT_ABS_LE_0'
0. 'coq/Coq_Reals_Rbasic_fun_Rmax_left' 'h4/thm/real/REAL_MAX_ALT_e1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_divide_iff' 'h4/thm/arithmetic/MIN_LE_e1'
0. 'coq/Coq_QArith_QArith_base_Qinv_lt_0_compat'#@#variant 'h4/thm/transc/SQRT_POS_LT_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lor_diag' 'h4/thm/arithmetic/MIN_IDEM_'
0. 'coq/Coq_QArith_QArith_base_Qmult_le_compat_r'#@#variant 'h4/thm/real/REAL_LE_RMUL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_le_mono' 'h4/thm/integer/INT_LT_NEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div2_double' 'h4/thm/numeral/DIV2_BIT1_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_eq_0' 'h4/thm/rat/RAT_NO_ZERODIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_le_lin' 'h4/thm/numpair/invtri_le_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_ldiff_diag' 'h4/thm/real/REAL_SUB_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_pred_l' 'h4/thm/arithmetic/MULT_e1'
0. 'coq/Coq_QArith_QOrderedType_QOrder_le_refl' 'h4/thm/integer/INT_LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_add_le_sub_r' 'h4/thm/real/REAL_LE_SUB_RADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_le_mono' 'h4/thm/real/REAL_POS_MONO_'
0. 'coq/Coq_PArith_BinPos_Pos_le_refl' 'h4/thm/divides/DIVIDES_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mod_small' 'h4/thm/real/REAL_MIN_ALT_0'
0. 'coq/Coq_ZArith_BinInt_Z_clearbit_spec_prime'#@#variant 'h4/thm/integer/INT_SUB_CALCULATE_'
0. 'coq/Coq_NArith_Nnat_N2Nat_id' 'h4/thm/frac/frac_tybij_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_lt_mono_pos_r'#@#variant 'h4/thm/real/REAL_LT_RDIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_lcm_r' 'h4/thm/real/REAL_LE_MAX2_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div_1_r' 'h4/thm/integer/INT_ADD_RID_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_refl' 'h4/thm/divides/DIVIDES_REFL_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_inv_norm' 'h4/thm/extreal/sqrt_pos_lt_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_nle_gt' 'h4/thm/integer/INT_NOT_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_lt_mono_r' 'h4/thm/integer/INT_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_factor_r' 'h4/thm/real/REAL_LE_MAX2_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_gt_cases' 'h4/thm/real/REAL_LTE_TOTAL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_1' 'h4/thm/integer/INT_NEG_0_'
0. 'coq/Coq_PArith_BinPos_Pos_add_succ_l' 'h4/thm/rat/RAT_AINV_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_r' 'h4/thm/hrat/TRAT_ADD_WELLDEFINED_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_le_iff' 'h4/thm/arithmetic/MAX_LT_0'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_minus_one_neq_zero'#@#variant 'h4/thm/ieee/ccode_distinct_4'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_Even_succ' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRL'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_one_neq_zero' 'h4/thm/prelim/ordering_distinct_1'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_pos_neg'#@#variant 'h4/thm/extreal/mul_lt_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_1_r' 'h4/thm/integer/INT_MUL_RZERO_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_succ_inj_wd' 'h4/thm/numRing/num_rewrites_tRRRRRRRLR'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_le_incl' 'h4/thm/arithmetic/LESS_IMP_LESS_OR_EQ_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_lt_mono_pos_l'#@#variant 'h4/thm/rat/RAT_LES_LMUL_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_0_r'#@#variant 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRL'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_le_mono_l' 'h4/thm/arithmetic/LE_ADD_LCANCEL_'
0. 'coq/Coq_QArith_QOrderedType_QOrder_le_refl' 'h4/thm/integer/INT_DIVIDES_REFL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_nge' 'h4/thm/real/real_lt_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_inj_wd' 'h4/thm/string/IMPLODE_11_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_eq_0' 'h4/thm/rat/RAT_NO_ZERODIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_pos_l'#@#variant 'h4/thm/real/REAL_LE_LMUL_'#@#variant
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_lt_le' 'h4/thm/realax/HREAL_LT_GT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_le_mono_r' 'h4/thm/real/REAL_LE_SUB_CANCEL2_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_sqrt' 'h4/thm/rat/RAT_AINV_CALCULATE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_le_mono_r' 'h4/thm/arithmetic/EXP_BASE_LEQ_MONO_IMP_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_1_l'#@#variant 'h4/thm/integral/LE_0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_lt_trans' 'h4/thm/integer/INT_LET_TRANS_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_nonneg'#@#variant 'h4/thm/transc/RPOW_POS_LT_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_abs_IZR' 'h4/thm/quote/index_size_def_1'#@#variant
0. 'coq/Coq_Bool_Bool_diff_true_false' 'h4/thm/toto/all_cpn_distinct_1'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_ge_le_iff' 'h4/thm/rat/rat_gre_def_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_cancel_r' 'h4/thm/real/REAL_EQ_RADD_'
0. 'coq/Coq_ZArith_BinInt_Z_succ_inj_wd' 'h4/thm/numpair/tri_11_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pos_pred_succ' 'h4/thm/pred_set/pair_to_num_inv_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_pos_l'#@#variant 'h4/thm/int_arith/justify_divides_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_eq_cases' 'h4/thm/integral/LE_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lcm_eq_0' 'h4/thm/arithmetic/MULT_EQ_0_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_sub_1_r' 'h4/thm/arithmetic/ADD1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_pos'#@#variant 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ones_equiv'#@#variant 'h4/thm/numeral_bit/NUMERAL_iDIV2_4'
0. 'coq/Coq_Arith_PeanoNat_Nat_succ_inj_wd' 'h4/thm/integer/INT_EQ_CALCULATE_1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lxor_eq_0_iff' 'h4/thm/integer/INT_SUB_0_'#@#variant
0. 'coq/Coq_Arith_Lt_lt_n_S' 'h4/thm/bit/TWOEXP_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_le_iff' 'h4/thm/arithmetic/MIN_LT_0'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_sqrt' 'h4/thm/extreal/extreal_inv_def_e2'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_total' 'h4/thm/rat/RAT_LES_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_ge_le_iff' 'h4/thm/pred_set/COUNT_applied_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_succ_l' 'h4/thm/arithmetic/LESS_EQ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_eq_iff'#@#variant 'h4/thm/extreal/abs_refl_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_add_r' 'h4/thm/realax/HREAL_LT_ADDL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_le_mono_l' 'h4/thm/realax/HREAL_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_clearbit_spec_prime'#@#variant 'h4/thm/extreal/sub_rneg_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_pos_r'#@#variant 'h4/thm/intExtension/INT_LT_RMUL_EXP_'#@#variant
0. 'coq/Coq_Init_Peano_O_S' 'h4/thm/bit/TWOEXP_NOT_ZERO_'#@#variant
0. 'coq/Coq_ZArith_Znat_Zabs2N_id' 'h4/thm/ieee/float_tybij_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_lt_cancel' 'h4/thm/arithmetic/LESS_MONO_REV_'
0. 'coq/Coq_NArith_BinNat_N_land_diag' 'h4/thm/arithmetic/MIN_IDEM_'
0. 'coq/Coq_ZArith_BinInt_Z_divide_Zpos' 'h4/thm/int_arith/INT_NUM_DIVIDES_'
0. 'coq/Coq_NArith_Nnat_Nat2N_id' 'h4/thm/ASCIInumbers/toNum_toString_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_sub' 'h4/thm/real/REAL_ADD_SUB_ALT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_simpl_r' 'h4/thm/integer/INT_SUB_ADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_pred_lt_succ' 'h4/thm/bit/TWOEXP_LE_IMP_LE_LOG2_0'#@#variant
0. 'coq/Coq_NArith_BinNat_N_min_glb_lt_iff' 'h4/thm/arithmetic/MIN_LE_e1'
0. 'coq/Coq_Init_Peano_le_n_S' 'h4/thm/numpair/tri_LT_I_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftr_opp_r' 'h4/thm/rat/RAT_DIV_MULMINV_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_succ' 'h4/thm/numeral/numeral_add_0'#@#variant
0. 'coq/Coq_Reals_RIneq_Req_ge' 'h4/thm/real/REAL_EQ_IMP_LE_'
0. 'coq/Coq_PArith_BinPos_Pos_mul_le_mono_r' 'h4/thm/arithmetic/LESS_EQ_MONO_ADD_EQ_'
0. 'coq/Coq_Reals_Rbasic_fun_abs_IZR' 'h4/thm/extreal/extreal_sqrt_def_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_lub_iff' 'h4/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_lt_mono' 'h4/thm/arithmetic/LESS_EQ_MONO_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_1' 'h4/thm/real/REAL_NEG_0_'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_eqk_refl'#@#variant 'h4/thm/rich_list/IS_SUFFIX_REFL_'
0. 'coq/Coq_NArith_BinNat_N_add_cancel_l' 'h4/thm/integer/EQ_LADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_nonneg_r'#@#variant 'h4/thm/real/REAL_LT_RMUL_IMP_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_lt_mono' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_gcd_comm' 'h4/thm/hrat/TRAT_MUL_SYM_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_ge_cases' 'h4/thm/real/REAL_LET_TOTAL_'
0. 'coq/Coq_Reals_Rfunctions_powerRZ_lt'#@#variant 'h4/thm/extreal/pow_pos_lt_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_le_mono_r' 'h4/thm/arithmetic/LE_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_pred_succ' 'h4/thm/numpair/invtri_linverse_'
0. 'coq/Coq_Reals_RIneq_Ropp_involutive' 'h4/thm/integerRing/int_rewrites_tLRRRRRRRRRRRRL'
0. 'coq/Coq_Reals_RIneq_Rplus_le_le_0_compat' 'h4/thm/binary_ieee/le2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_succ_r' 'h4/thm/extreal/mul_rneg_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lnot_lxor_r' 'h4/thm/numpair/napp_thm_e1'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_lt_antirefl' 'h4/thm/rat/RAT_LES_REF_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_sub_le_add_r' 'h4/thm/arithmetic/SUB_LEFT_GREATER_EQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_lcm_r' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_le_mono_l' 'h4/thm/extreal/le_radd_imp_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_divide_mono_l' 'h4/thm/integer/TINT_LT_ADD_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_cancel_l' 'h4/thm/realax/HREAL_EQ_LADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_nle_gt' 'h4/thm/arithmetic/NOT_LESS_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sub_lt' 'h4/thm/arithmetic/SUB_LESS_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_le_mono_l' 'h4/thm/hreal/HRAT_LT_LMUL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_succ_l' 'h4/thm/complex/COMPLEX_NEG_LDIV_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_0_r_nonneg'#@#variant 'h4/thm/transc/RPOW_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_pred_l' 'h4/thm/frac/FRAC_AINV_LMUL_'
0. 'coq/Coq_PArith_Pnat_SuccNat2Pos_inj_iff' 'h4/thm/DeepSyntax/deep_form_11_6'
0. 'coq/Coq_ZArith_Znat_Nat2Z_is_nonneg'#@#variant 'h4/thm/extreal/le_num_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_le_mono_r' 'h4/thm/logroot/ROOT_LE_MONO_'
0. 'coq/Coq_NArith_BinNat_N_double_mul' 'h4/thm/extreal/mul_lneg_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_pos_l'#@#variant 'h4/thm/real/REAL_LT_LMUL_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_le_min_l' 'h4/thm/arithmetic/SUB_LESS_EQ_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lcm_diag' 'h4/thm/real/REAL_MIN_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_opp_inj_wd' 'h4/thm/real/REAL_INV_INJ_'
0. 'coq/Coq_Bool_Bool_negb_involutive_reverse' 'h4/thm/integer/INT_MOD_CALCULATE_2'
0. 'coq/Coq_ZArith_BinInt_Z_mul_mod' 'h4/thm/integer/INT_MOD_PLUS_'#@#variant
0. 'coq/Coq_ZArith_Znumtheory_not_prime_1'#@#variant 'h4/thm/float/INFINITY_NOT_NAN_e1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_refl' 'h4/thm/integer/INT_LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_succ_l' 'h4/thm/extreal/mul_lneg_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_id' 'h4/thm/real/REAL_MIN_REFL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_double_size_level' 'h4/thm/extreal/extreal_ainv_def_e2'
0. 'coq/Coq_Reals_Rtrigo_calc_Rgt_3PI2_0'#@#variant 'h4/thm/extreal/half_between_tLL'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_nlt' 'h4/thm/integer/INT_NOT_LT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_lt_mono_l' 'h4/thm/rat/RAT_LES_LADD_'
0. 'coq/Coq_PArith_BinPos_Pos_succ_le_mono' 'h4/thm/integerRing/int_rewrites_tLRRRRLRRR'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_add_r' 'h4/thm/arithmetic/LESS_EQ_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_inj_wd' 'h4/thm/real/REAL_EQ_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_lt_mono_r_iff'#@#variant 'h4/thm/int_arith/lt_justify_multiplication_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_iff' 'h4/thm/binary_ieee/float_compare_EQ_float_compare_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_succ' 'h4/thm/extreal/extreal_sqrt_def_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_ldiff_diag' 'h4/thm/arithmetic/SUB_EQUAL_0_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_sub_1_r' 'h4/thm/arithmetic/ADD1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_inj_wd' 'h4/thm/quote/index_11_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_add_r' 'h4/thm/divides/DIVIDES_ADD_1_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_le_mono_l' 'h4/thm/real/REAL_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_involutive' 'h4/thm/complex/CONJ_CONJ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_le_compat_r' 'h4/thm/integer/TINT_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_of_pos' 'h4/thm/rat/rat_nmr_def_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_divide_xO_xO' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_succ_diag_r' 'h4/thm/bit/BIT_B_'#@#variant
0. 'coq/Coq_Bool_Bool_andb_false_iff' 'h4/thm/integer/INT_ENTIRE_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_lt_mono_pos_l'#@#variant 'h4/thm/transc/RPOW_LE_'#@#variant
0. 'coq/Coq_Reals_Rtrigo_calc_sqrt2_neq_0'#@#variant 'h4/thm/ieee/ccode_distinct_1'
0. 'coq/Coq_ZArith_Znat_N2Z_id' 'h4/thm/string/CHR_ORD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_pos_pos' 'h4/thm/binary_ieee/le2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_asymm' 'h4/thm/integer/INT_LT_GT_'
0. 'coq/Coq_ZArith_BinInt_Z_testbit_even_0'#@#variant 'h4/thm/toto/numeralOrd_4'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div_le_mono'#@#variant 'h4/thm/extreal/le_rmul_imp_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_pos_pred' 'h4/thm/numRing/num_ring_thms_e17'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_of_N' 'h4/thm/ieee/Sign_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_nle_gt' 'h4/thm/rat/RAT_LEQ_LES_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_diag' 'h4/thm/extreal/max_refl_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_add_r' 'h4/thm/divides/DIVIDES_ADD_1_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sub_le_mono_r' 'h4/thm/arithmetic/LESS_MONO_MULT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div2_succ_double' 'h4/thm/prim_rec/PRE_e1'
0. 'coq/Coq_ZArith_BinInt_Z_eq_opp_r' 'h4/thm/rat/RAT_AINV_EQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_refl' 'h4/thm/rat/RAT_EQUIV_REF_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_le_compat_r' 'h4/thm/integer/TINT_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_le_iff' 'h4/thm/extreal/min_le_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_l2i_i2l'#@#variant 'h4/thm/ieee/roundmode_BIJ_0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_double_spec'#@#variant 'h4/thm/real/REAL_INV_1OVER_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Zminus_diag_reverse' 'h4/thm/integer/INT_SUB_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_div_0_l' 'h4/thm/integer/INT_QUOT_0_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lt_pred_le' 'h4/thm/arithmetic/LESS_EQ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_lt_mono_r' 'h4/thm/integer/INT_LT_RADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_refl' 'h4/thm/rat/RAT_EQUIV_REF_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_clearbit_spec_prime'#@#variant 'h4/thm/frac/frac_sub_def_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_opp' 'h4/thm/complex/CONJ_NEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_0_r'#@#variant 'h4/thm/numeral/numeral_exp_0'#@#variant
0. 'coq/Coq_QArith_QOrderedType_QOrder_eq_refl' 'h4/thm/integer/INT_LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_lub_iff' 'h4/thm/extreal/max_le_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_lt' 'h4/thm/extreal/abs_bounds_lt_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_1_r' 'h4/thm/real/REAL_ADD_RID_'
0. 'coq/Coq_ZArith_BinInt_Z_nlt_ge' 'h4/thm/arithmetic/NOT_LESS_EQUAL_'
0. 'coq/Coq_Reals_RIneq_Rplus_lt_0_compat' 'h4/thm/integer/TINT_LT_MUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_divide_iff' 'h4/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_factor_l' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_quot_lt'#@#variant 'h4/thm/arithmetic/DIV_LESS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_le_mono' 'h4/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Bool_Bool_negb_xorb_r' 'h4/thm/complex/COMPLEX_NEG_RMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_succ_le_mono' 'h4/thm/transc/EXP_MONO_LE_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_gcd_greatest' 'h4/thm/divides/DIVIDES_SUB_'
0. 'coq/Coq_ZArith_Znat_positive_N_Z' 'h4/thm/ieee/Fraction_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftl_opp_r' 'h4/thm/HolSmt/r224_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_clearbit_spec_prime'#@#variant 'h4/thm/integer/int_sub_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_Even_or_Odd' 'h4/thm/arithmetic/EVEN_OR_ODD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_lt_mono_r' 'h4/thm/arithmetic/LESS_MONO_ADD_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_1_l'#@#variant 'h4/thm/util_prob/lg_def_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_add_le' 'h4/thm/real/REAL_ABS_TRIANGLE_'
0. 'coq/Coq_ZArith_BinInt_Z_eq_opp_l' 'h4/thm/rat/RAT_AINV_EQ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ldiff_land' 'h4/thm/integer/INT_SUB_RNEG_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_eq_opp_r' 'h4/thm/complex/COMPLEX_NEG_EQ_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zle_0_pos'#@#variant 'h4/thm/extreal/lt_infty_0'#@#variant
0. 'coq/Coq_PArith_Pnat_SuccNat2Pos_inj_iff' 'h4/thm/binary_ieee/rounding_EQ_rounding_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_le_mono' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_opp_r' 'h4/thm/complex/complex_sub_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div2_succ_double' 'h4/thm/numRing/num_rewrites_tLLRRRR'#@#variant
0. 'coq/Coq_PArith_Pnat_SuccNat2Pos_inj_iff' 'h4/thm/binary_ieee/float_compare2num_11_'
0. 'coq/Coq_ZArith_BinInt_Z_add_lt_mono_l' 'h4/thm/integer/LT_LADD_'
0. 'coq/Coq_Lists_List_nil_cons' 'h4/thm/rich_list/NOT_NIL_SNOC_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_lt_lin' 'h4/thm/transc/LN_LT_X_'
0. 'coq/Coq_ZArith_BinInt_Z_succ_lt_mono' 'h4/thm/arithmetic/LESS_EQ_MONO_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_lub_iff' 'h4/thm/arithmetic/MAX_LE_e1'
0. 'coq/Coq_Reals_RIneq_Ropp_div' 'h4/thm/frac/FRAC_AINV_LMUL_'
0. 'coq/Coq_ZArith_BinInt_Z_quot_1_r' 'h4/thm/integer/INT_SUB_RZERO_'
0. 'coq/Coq_ZArith_BinInt_Z_pred_lt_mono' 'h4/thm/numeral/numeral_distrib_22'
0. 'coq/Coq_ZArith_Zorder_Zplus_lt_compat_r' 'h4/thm/integer/TINT_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_factor_r' 'h4/thm/integer/INT_DIVIDES_MUL_e1'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pred_div2_up' 'h4/thm/DeepSyntax/deep_form_size_def_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_Odd_succ' 'h4/thm/numeral/numeral_distrib_21'#@#variant
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_double_plus_one' 'h4/thm/quote/index_size_def_0'#@#variant
0. 'coq/Coq_QArith_Qcanon_Q_apart_0_1'#@#variant 'h4/thm/binary_ieee/float_compare_distinct_3'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_id' 'h4/thm/extreal/max_refl_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_lt_mono_r' 'h4/thm/rat/RAT_LES_RADD_'
0. 'coq/Coq_ZArith_BinInt_Z_pred_inj_wd' 'h4/thm/numeral/numeral_eq_6'
0. 'coq/Coq_ZArith_Znat_Z2N_inj_pos' 'h4/thm/rat/rat_sgn_def_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_asymm' 'h4/thm/realax/HREAL_LT_GT_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_pred_double_succ' 'h4/thm/numeral/numeral_pre_e4'
0. 'coq/Coq_ZArith_Zpow_facts_Zpower_pos_pos'#@#variant 'h4/thm/float/REAL_POW_LE_1_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_move_r' 'h4/thm/rat/RAT_RSUB_EQ_'
0. 'coq/Coq_NArith_BinNat_N_add_1_l'#@#variant 'h4/thm/util_prob/lg_def_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_max_lub_iff' 'h4/thm/arithmetic/MAX_LT_e1'
0. 'coq/Coq_Reals_Rfunctions_INR_fact_neq_0' 'h4/thm/real/REAL_FACT_NZ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_pos_nonneg'#@#variant 'h4/thm/util_prob/REAL_LE_LT_MUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_pos_pos' 'h4/thm/realax/REAL_LT_MUL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_eq_opp_l' 'h4/thm/complex/COMPLEX_NEG_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_lt_mono_r'#@#variant 'h4/thm/extreal/le_lmul_imp_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rle_0_sqr' 'h4/thm/arithmetic/FACT_LESS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div_0_l' 'h4/thm/integer/INT_REM0_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_max_lub_iff' 'h4/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_pred_l' 'h4/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_Bool_Bool_orb_diag' 'h4/thm/extreal/min_refl_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_iff' 'h4/thm/real/REAL_OF_NUM_EQ_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_nle' 'h4/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_1' 'h4/thm/real/ABS_0_'
0. 'coq/Coq_Reals_Rfunctions_pow_add' 'h4/thm/complex/COMPLEX_SCALAR_RMUL_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_negb_even' 'h4/thm/ratRing/rat_ring_thms_e17'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lxor_lnot_lnot' 'h4/thm/arithmetic/ABS_DIFF_ADD_SAME_'
0. 'coq/Coq_ZArith_Znat_N_nat_Z' 'h4/thm/hrat/hrat_sucint_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pred_succ' 'h4/thm/numeral/numeral_add_0'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qlt_shift_div_l'#@#variant 'h4/thm/real/REAL_LE_RDIV_'#@#variant
0. 'coq/Coq_NArith_Nnat_N2Nat_id' 'h4/thm/prelim/num2ordering_ordering2num_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_nonneg'#@#variant 'h4/thm/real/REAL_LE_MUL2_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_min_glb_lt_iff' 'h4/thm/arithmetic/MIN_LE_e1'
0. 'coq/Coq_Arith_PeanoNat_Nat_neq_succ_0' 'h4/thm/arithmetic/SUC_NOT_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_cancel_r' 'h4/thm/rat/RAT_EQ_RADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lcm_1_l'#@#variant 'h4/thm/numeral/texp_help_def_0'
0. 'coq/Coq_Arith_Minus_minus_diag_reverse' 'h4/thm/integer/INT_SUB_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_ngt' 'h4/thm/rat/RAT_LEQ_LES_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_lt_mono' 'h4/thm/extreal/lt_neg_'
0. 'coq/Coq_Structures_OrderedTypeEx_Z_as_OT_lt_not_eq' 'h4/thm/extreal/lt_imp_ne_'
0. 'coq/Coq_Arith_PeanoNat_Nat_leb_le' 'h4/thm/quote/index_lt_def_'
0. 'coq/Coq_Reals_Ratan_atan_opp' 'h4/thm/DeepSyntax/posinf_def_2'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_cancel_l' 'h4/thm/complex/COMPLEX_EQ_LADD_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_PI_neq0' 'h4/thm/binary_ieee/rounding_distinct_e5'
0. 'coq/Coq_Reals_RIneq_Rgt_not_ge' 'h4/thm/arithmetic/LESS_EQ_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_le_mono_pos_r'#@#variant 'h4/thm/intExtension/INT_GT_RMUL_EXP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_div_mul' 'h4/thm/integer/INT_DIV_RMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_double_spec'#@#variant 'h4/thm/real/REAL_INV_1OVER_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_succ_lt_mono' 'h4/thm/numeral/numeral_lte_3'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_quot_0_l' 'h4/thm/integer/INT_MOD0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftr_div_pow2'#@#variant 'h4/thm/extreal/extreal_sub_add_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_neq_mul_0' 'h4/thm/rat/RAT_NO_ZERODIV_NEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_le_mono' 'h4/thm/numpair/tri_LT_I_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_add_r' 'h4/thm/integer/INT_DIVIDES_MUL_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_le' 'h4/thm/extreal/abs_bounds_lt_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_pos_pos' 'h4/thm/integer/TINT_LT_MUL_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_lt_cancel' 'h4/thm/arithmetic/LESS_MONO_REV_'
0. 'coq/Coq_QArith_Qround_Qfloor_Z' 'h4/thm/complex/RE_COMPLEX_OF_REAL_'#@#variant
0. 'coq/Coq_Arith_Div2_div2_double'#@#variant 'h4/thm/transc/LN_EXP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_eq_mul_m1'#@#variant 'h4/thm/arithmetic/PRE_SUB1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_cancel_l' 'h4/thm/hreal/HRAT_EQ_LMUL_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_le_compat_r' 'h4/thm/extreal/le_radd_imp_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_cancel_l' 'h4/thm/rat/RAT_EQ_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_opp_r' 'h4/thm/complex/COMPLEX_MUL_RNEG_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_eq_le_incl' 'h4/thm/integer/INT_LT_IMP_LE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_inj_wd' 'h4/thm/numeral/numeral_distrib_19'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_inj_wd' 'h4/thm/string/EXPLODE_11_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_succ_l' 'h4/thm/extreal/mul_lneg_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_pred' 'h4/thm/numeral_bit/NUMERAL_iDIV2_2'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_setbit_spec_prime'#@#variant 'h4/thm/real/real_div_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_succ_diag_r' 'h4/thm/divides/INDEX_LESS_PRIMES_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_compare_xO_xO' 'h4/thm/quote/index_compare_def_5'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_nonneg' 'h4/thm/divides/ZERO_LT_PRIMES_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_pos_l'#@#variant 'h4/thm/int_arith/justify_divides_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_lt_mono_pos_r'#@#variant 'h4/thm/logroot/EXP_LE_ISO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_le_mono' 'h4/thm/transc/EXP_MONO_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ge_le_iff' 'h4/thm/string/string_ge_def_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_inj_wd' 'h4/thm/transc/EXP_INJ_'
0. 'coq/Coq_Reals_Rfunctions_pow_le'#@#variant 'h4/thm/real/REAL_POW_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_eq_opp_r' 'h4/thm/complex/COMPLEX_NEG_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_factor_l' 'h4/thm/extreal/le_max1_'
0. 'coq/Coq_ZArith_Zcompare_Zcompare_succ_compat' 'h4/thm/quote/index_compare_def_5'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_testbit_even_0'#@#variant 'h4/thm/toto/qk_numeralOrd_3'
0. 'coq/Coq_NArith_BinNat_N_le_max_r' 'h4/thm/extreal/le_max2_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_lt_mono_r' 'h4/thm/arithmetic/LT_ADD_RCANCEL_'
0. 'coq/Coq_ZArith_BinInt_Z_le_max_l' 'h4/thm/realax/HREAL_LT_ADDL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_compare_eq_iff' 'h4/thm/quote/compare_index_equal_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ones_equiv'#@#variant 'h4/thm/numeral/numeral_suc_1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_1_r' 'h4/thm/integer/INT_ADD_REDUCE_1'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_1' 'h4/thm/integer/INT_ADD_REDUCE_2'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_divide_mono_r' 'h4/thm/hrat/TRAT_MUL_WELLDEFINED_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qplus_le_l' 'h4/thm/hreal/HRAT_LT_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_pred' 'h4/thm/numeral/iDUB_removal_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_le_lin' 'h4/thm/numpair/invtri_le_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_null'#@#variant 'h4/thm/intExtension/INT_SGN_CLAUSES_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_ge_cases' 'h4/thm/integer/INT_LE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_nonneg' 'h4/thm/arithmetic/FACT_LESS_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_succ_lt_mono' 'h4/thm/numeral/numeral_lt_4'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_le_mono_l' 'h4/thm/rat/RAT_LES_LADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_le_compat_r' 'h4/thm/hrat/TRAT_MUL_WELLDEFINED_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_1_r' 'h4/thm/integer/INT_ADD_RID_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_xI_succ_xO' 'h4/thm/numeral_bit/NUMERAL_iDIV2_4'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_eq_opp_l' 'h4/thm/complex/COMPLEX_NEG_EQ_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sqrt_le_mono' 'h4/thm/integer/TINT_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pow_0_r'#@#variant 'h4/thm/util_prob/logr_1_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pos_pred_succ' 'h4/thm/complex/RE_COMPLEX_OF_REAL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_asymm' 'h4/thm/arithmetic/LESS_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sub_add_distr' 'h4/thm/arithmetic/SUB_RIGHT_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_gt_cases' 'h4/thm/real/REAL_LTE_TOTAL_'
0. 'coq/Coq_PArith_BinPos_Pos_add_lt_mono_r' 'h4/thm/hreal/HRAT_LT_RADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_lcm_r' 'h4/thm/real/REAL_LE_MAX2_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_le_mono_pos_r'#@#variant 'h4/thm/real/REAL_LT_RDIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_clearbit_spec_prime'#@#variant 'h4/thm/frac/frac_sub_def_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_is_nonneg'#@#variant 'h4/thm/real/POW_2_LE1_'#@#variant
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_IsTO_lt_total' 'h4/thm/arithmetic/LESS_LESS_CASES_'
0. 'coq/Coq_Arith_Mult_mult_le_compat_l' 'h4/thm/integer/INT_LT_LADD_IMP_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_lt_mono_l' 'h4/thm/real/REAL_LE_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_refl' 'h4/thm/hrat/TRAT_EQ_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_succ_r_prime' 'h4/thm/arithmetic/EXP_e1'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_gt' 'h4/thm/integer/INT_LT_'
0. 'coq/Coq_Reals_Rbasic_fun_Rmin_glb_lt' 'h4/thm/divides/DIVIDES_ADD_1_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_succ_inj_wd' 'h4/thm/numRing/num_rewrites_tRRRRRRRLR'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lxor_lnot_lnot' 'h4/thm/arithmetic/SUB_MONO_EQ_'
0. 'coq/Coq_ZArith_Zeven_Zquot2_quot'#@#variant 'h4/thm/arithmetic/DIV2_def_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_div2_div'#@#variant 'h4/thm/arithmetic/ADD1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_succ_lt_mono' 'h4/thm/numpair/tri_LT_'
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_le_mono' 'h4/thm/bit/TWOEXP_MONO2_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_nonpos_nonpos' 'h4/thm/intExtension/INT_LT_ADD_NEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_testbit_even_0'#@#variant 'h4/thm/toto/num_dtOrd_3'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftl_opp_r' 'h4/thm/real/REAL_SUB_RNEG_'
0. 'coq/Coq_Reals_Rtrigo_calc_toRad_inj' 'h4/thm/divides/PRIMES_11_'
0. 'coq/Coq_Reals_Rtrigo_def_sin_antisym' 'h4/thm/complex/COMPLEX_INV_NEG_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_gcd_0_l' 'h4/thm/HolSmt/r221_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_PI_neq0' 'h4/thm/ieee/roundmode_distinct_3'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_le_mono' 'h4/thm/real/REAL_POS_MONO_'
0. 'coq/Coq_Arith_PeanoNat_Nat_negb_odd' 'h4/thm/integerRing/int_ring_thms_e17'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_ngt' 'h4/thm/extreal/extreal_lt_def_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_gt_lt_iff' 'h4/thm/integer/int_ge_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_factor_r' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_1'
0. 'coq/Coq_NArith_BinNat_N_lcm_divide_iff' 'h4/thm/extreal/max_le_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_Even_succ' 'h4/thm/binary_ieee/exp_ge2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_r' 'h4/thm/hrat/TRAT_ADD_WELLDEFINED_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rmax_lub' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_e2'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_negb_odd' 'h4/thm/frac/frac_sgn_def_'
0. 'coq/Coq_Reals_RIneq_Rgt_asym' 'h4/thm/hreal/HRAT_LT_ANTISYM_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_0_sub'#@#variant 'h4/thm/real/REAL_SUB_LE_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_lt_mono_pos_r'#@#variant 'h4/thm/logroot/EXP_LT_ISO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_cancel_l' 'h4/thm/hreal/HRAT_EQ_LMUL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gt_lt_iff' 'h4/thm/rat/rat_geq_def_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_lt_mono_r' 'h4/thm/arithmetic/LESS_MONO_ADD_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_refl' 'h4/thm/integer/INT_DIVIDES_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_lteq' 'h4/thm/integral/LE_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_inj' 'h4/thm/num/INV_SUC_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_lt_mono_r'#@#variant 'h4/thm/arithmetic/EXP_BASE_LEQ_MONO_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_le_mono' 'h4/thm/transc/EXP_MONO_IMP_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_succ' 'h4/thm/extreal/extreal_inv_def_e2'
0. 'coq/Coq_Sets_Constructive_sets_Included_Empty' 'h4/thm/rich_list/IS_PREFIX_NIL_0'
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_nonneg_r'#@#variant 'h4/thm/extreal/le_rmul_imp_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_lt_mono_l' 'h4/thm/arithmetic/LT_ADD_LCANCEL_'
0. 'coq/Coq_NArith_BinNat_N_lt_neq' 'h4/thm/hreal/HRAT_LT_NE_'
0. 'coq/Coq_ZArith_Zquot_Zquot_opp_opp' 'h4/thm/integer/INT_NEG_MUL2_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_clearbit_spec_prime'#@#variant 'h4/thm/extreal/sub_rneg_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_le_mono' 'h4/thm/integerRing/int_rewrites_tLRRRRLRRR'
0. 'coq/Coq_ZArith_BinInt_Z_gcd_greatest' 'h4/thm/divides/DIVIDES_SUB_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_nonneg'#@#variant 'h4/thm/integer/INT_LT_MUL2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_div2' 'h4/thm/numpair/invtri_lower_'
0. 'coq/Coq_NArith_BinNat_N_nle_gt' 'h4/thm/real/real_lte_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_le_mono_l' 'h4/thm/arithmetic/LE_ADD_LCANCEL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftr_shiftr' 'h4/thm/arithmetic/EXP_EXP_MULT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_1_r' 'h4/thm/integer/INT_SUB_RZERO_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_pos'#@#variant 'h4/thm/real/REAL_LE_INV_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_succ_l' 'h4/thm/arithmetic/PRE_SUB_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_total' 'h4/thm/extreal/lt_total_'
0. 'coq/Coq_ZArith_Zorder_Zplus_le_compat_l' 'h4/thm/real/REAL_LT_IADD_'
0. 'coq/Coq_omega_OmegaLemmas_Zred_factor0' 'h4/thm/extreal/add_rzero_'
0. 'coq/Coq_ZArith_BinInt_Z_lnot_neg'#@#variant 'h4/thm/numeral/numeral_distrib_24'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_lt_mono_r' 'h4/thm/hreal/HRAT_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_cancel_l' 'h4/thm/realax/HREAL_EQ_LADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_irrefl' 'h4/thm/realax/HREAL_LT_REFL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_nlt_0_r' 'h4/thm/bit/BIT_ZERO_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_total' 'h4/thm/realax/REAL_LT_TOTAL_'
0. 'coq/Coq_ZArith_Znat_nat_N_Z' 'h4/thm/extreal/extreal_of_num_def_'
0. 'coq/Coq_QArith_QOrderedType_QOrder_not_ge_lt' 'h4/thm/real/REAL_LET_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pred_le_mono' 'h4/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_lt_mono' 'h4/thm/arithmetic/LESS_EQ_MONO_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_divide_mono_r' 'h4/thm/integer/TINT_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_divide_mono_r' 'h4/thm/arithmetic/LESS_MONO_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pred_div2_up' 'h4/thm/extreal/extreal_abs_def_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_succ_diag_r' 'h4/thm/bit/BIT_B_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_max_id' 'h4/thm/arithmetic/MIN_IDEM_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_pos_neg'#@#variant 'h4/thm/real/REAL_NEG_GE0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_rem_1_r'#@#variant 'h4/thm/arithmetic/EXP_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_simpl_r' 'h4/thm/integer/INT_SUB_ADD_'
0. 'coq/Coq_PArith_BinPos_Pos_mul_cancel_r' 'h4/thm/arithmetic/EQ_MONO_ADD_EQ_'
0. 'coq/Coq_ZArith_BinInt_Z_succ_pred' 'h4/thm/bit/LOG2_TWOEXP_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_setbit_spec_prime'#@#variant 'h4/thm/complex/COMPLEX_SUB_RNEG_'#@#variant
0. 'coq/Coq_QArith_Qminmax_Q_max_lub_lt_iff' 'h4/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_NArith_BinNat_N_pos_pred_succ' 'h4/thm/num/num_ISO_DEF_0'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_cancel_l' 'h4/thm/integer/INT_EQ_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_succ_r' 'h4/thm/complex/COMPLEX_NEG_RMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_pos'#@#variant 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_lub_iff' 'h4/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_ZArith_Zorder_Zle_0_pos' 'h4/thm/extreal/lt_infty_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_le_mono' 'h4/thm/integerRing/int_rewrites_tRRRRRRLRRRR'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_succ' 'h4/thm/numeral_bit/numeral_ilog2_1'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_opp_involutive' 'h4/thm/integer/INT_DIV_CALCULATE_e4'
0. 'coq/Coq_Reals_Rpower_Rpower_1'#@#variant 'h4/thm/transc/RPOW_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_land_lnot_diag' 'h4/thm/rat/RAT_ADD_RINV_'#@#variant
0. 'coq/Coq_ZArith_Zquot_Z_quot_monotone'#@#variant 'h4/thm/extreal/le_rmul_imp_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_ge_cases' 'h4/thm/real/REAL_LET_TOTAL_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigN_BigZ_spec_Z_of_N' 'h4/thm/realax/hreal_of_real_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftl_opp_r' 'h4/thm/real/real_sub_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_sub_0' 'h4/thm/rat/RAT_LES_SUB0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_nlt_1_r' 'h4/thm/prim_rec/NOT_LESS_0_'
0. 'coq/Coq_Arith_Minus_minus_plus' 'h4/thm/integer/INT_ADD_SUB_'
0. 'coq/Coq_NArith_BinNat_N_pow_le_mono_r_iff'#@#variant 'h4/thm/logroot/LE_EXP_ISO_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_nonneg_r'#@#variant 'h4/thm/real/REAL_LE_RMUL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_nle_gt' 'h4/thm/integer/INT_NOT_LE_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_succ' 'h4/thm/toto/num_dt_size_def_e2'#@#variant
0. 'coq/Coq_Init_Datatypes_CompOpp_involutive' 'h4/thm/integerRing/int_calculate_12'
0. 'coq/Coq_Strings_Ascii_ascii_nat_embedding' 'h4/thm/string/CHR_ORD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_sub_lt_add_r' 'h4/thm/real/REAL_LE_SUB_RADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_lxor_l' 'h4/thm/arithmetic/PRE_SUB_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_wf_0' 'h4/thm/toto/StrongLinearOrder_LESS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_pred_l' 'h4/thm/complex/COMPLEX_MUL_LNEG_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lnot_0_l' 'h4/thm/extreal/sub_lzero_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_asymm' 'h4/thm/hreal/HRAT_LT_GT_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_le_compat_r' 'h4/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_abs_pow' 'h4/thm/frac/FRAC_AINV_LMUL_'
0. 'coq/Coq_Reals_Rfunctions_pow_Rsqr'#@#variant 'h4/thm/complex/COMPLEX_NEG_SCALAR_RMUL_'#@#variant
0. 'coq/Coq_QArith_Qcanon_test_field'#@#variant 'h4/thm/real/REAL_DIV_RMUL_'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_ge' 'h4/thm/integer/INT_LT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_opp_r' 'h4/thm/rat/RAT_SUB_ADDAINV_'
0. 'coq/Coq_NArith_BinNat_N_succ_inj_wd' 'h4/thm/extreal/eq_neg_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_lt_mono_r' 'h4/thm/arithmetic/LT_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_0_discr' 'h4/thm/quote/index_distinct_1'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_nlt' 'h4/thm/integer/INT_NOT_LE_'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_one_neq_zero' 'h4/thm/toto/all_cpn_distinct_1'
0. 'coq/Coq_NArith_BinNat_N_lxor_eq_0_iff' 'h4/thm/rat/RAT_EQ_0SUB_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_pos_r' 'h4/thm/logroot/EXP_LE_ISO_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_opp_r' 'h4/thm/real/real_div_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_glb_lt_iff' 'h4/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_succ' 'h4/thm/extreal/extreal_abs_def_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_nge' 'h4/thm/arithmetic/NOT_LESS_'
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_Rinv' 'h4/thm/real/REAL_NEG_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_add_r' 'h4/thm/divides/DIVIDES_ADD_1_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_ldiff_diag' 'h4/thm/arithmetic/SUB_EQUAL_0_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_lt_m1_0' 'h4/thm/transc/COS_2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_lt_mono_pos_r'#@#variant 'h4/thm/intExtension/INT_GT_RMUL_EXP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_succ_l' 'h4/thm/arithmetic/MULT_e1'
0. 'coq/Coq_ZArith_Znumtheory_Zdivide_opp_r' 'h4/thm/prim_rec/LESS_SUC_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_null_iff' 'h4/thm/integer/INT_NEG_EQ0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_succ' 'h4/thm/numeral/numeral_suc_e2'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_0_l' 'h4/thm/integer/INT_DIVIDES_1_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_min_distr' 'h4/thm/complex/COMPLEX_EXP_ADD_'#@#variant
0. 'coq/Coq_Reals_R_sqr_Rsqr_neg' 'h4/thm/numRing/num_rewrites_tLRRRRRRLRRRR'#@#variant
0. 'coq/Coq_ZArith_Znumtheory_not_prime_0' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lxor_nonneg'#@#variant 'h4/thm/arithmetic/EVEN_ADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_le_compat_l' 'h4/thm/realax/TREAL_LT_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_inj_wd' 'h4/thm/quote/index_11_0'
0. 'coq/Coq_PArith_BinPos_Pos_lt_add_diag_r' 'h4/thm/arithmetic/LESS_EQ_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_ge_cases' 'h4/thm/real/REAL_LTE_TOTAL_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_int31_specs' 'h4/thm/numRing/num_ring_thms_0'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_inv_normc' 'h4/thm/quote/index_size_def_1'#@#variant
0. 'coq/Coq_Reals_Rfunctions_pow_add' 'h4/thm/complex/COMPLEX_POW_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_pos_pos' 'h4/thm/binary_ieee/le2_'#@#variant
0. 'coq/Coq_Bool_Bool_andb_false_iff' 'h4/thm/intExtension/INT_NO_ZERODIV_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_Odd_succ' 'h4/thm/binary_ieee/exp_ge2_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_neq' 'h4/thm/prim_rec/LESS_NOT_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_opp_r' 'h4/thm/HolSmt/r131_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mod_1_r'#@#variant 'h4/thm/arithmetic/MOD_1_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_max_le_compat_r' 'h4/thm/integer/TINT_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_wf_0' 'h4/thm/prim_rec/WF_LESS_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_pos_nonneg'#@#variant 'h4/thm/arithmetic/ONE_LT_MULT_IMP_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_refl' 'h4/thm/rat/RAT_LEQ_REF_'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_minus_one_neq_zero'#@#variant 'h4/thm/toto/all_cpn_distinct_tLL'
0. 'coq/Coq_ZArith_BinInt_Z_div_pos'#@#variant 'h4/thm/extreal/let_mul_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_le_mono_l' 'h4/thm/real/REAL_LT_LADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_nle_gt' 'h4/thm/integer/INT_NOT_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_add_r' 'h4/thm/real/REAL_LE_MAX1_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lnot_0_l' 'h4/thm/integer/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_divide' 'h4/thm/integer/int_lt_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_lt_mono_r' 'h4/thm/arithmetic/LESS_MONO_ADD_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_le_compat_r' 'h4/thm/hrat/TRAT_ADD_WELLDEFINED_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_ngt' 'h4/thm/real/real_lte_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_cancel_r' 'h4/thm/hreal/HRAT_LT_RADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_le_mono_r' 'h4/thm/arithmetic/LT_ADD_RCANCEL_'
0. 'coq/Coq_ZArith_Zlogarithm_Zlog2_up_log_sup' 'h4/thm/ratRing/rat_ring_thms_e17'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qplus_lt_l' 'h4/thm/integer/INT_LE_RADD_'
0. 'coq/Coq_ZArith_Zsqrt_compat_Zsqrt_equiv' 'h4/thm/real/REAL_NEG_MINUS1_'#@#variant
0. 'coq/Coq_Bool_Bool_orb_prop' 'h4/thm/extreal/add_not_infty_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_setbit_spec_prime'#@#variant 'h4/thm/integer/INT_SUB_RNEG_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_sub' 'h4/thm/complex/COMPLEX_SUB_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_neq_0_succ' 'h4/thm/num/NOT_SUC_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_succ_not_1' 'h4/thm/num/NOT_SUC_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_le_iff' 'h4/thm/arithmetic/MIN_LE_0'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pow_lt_mono_r'#@#variant 'h4/thm/real/REAL_LT_LMUL_IMP_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_null_iff' 'h4/thm/numpair/tri_eq_0_e1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_lt_mono' 'h4/thm/numpair/tri_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sub_min_distr_l' 'h4/thm/arithmetic/EXP_ADD_'
0. 'coq/Coq_ZArith_Znat_Zabs2Nat_inj_pos' 'h4/thm/rat/rat_dnm_def_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_succ'#@#variant 'h4/thm/hrat/trat_sucint_e1'#@#variant
0. 'coq/Coq_NArith_BinNat_N_gcd_1_r' 'h4/thm/real/REAL_MUL_RZERO_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div_1_r' 'h4/thm/integer/INT_ADD_RID_'
0. 'coq/Coq_Lists_List_lel_trans' 'h4/thm/sorting/PERM_TRANS_'
0. 'coq/Coq_NArith_BinNat_N_pow_mul_r' 'h4/thm/arithmetic/SUB_PLUS_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_pred_double_succ' 'h4/thm/numeral_bit/NUMERAL_iDIV2_4'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_succ_lt_mono' 'h4/thm/transc/EXP_MONO_LE_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_log2' 'h4/thm/extreal/extreal_exp_def_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pos_pred_succ' 'h4/thm/toto/cpn_BIJ_0'
0. 'coq/Coq_Reals_Rbasic_fun_Rmin_Rgt' 'h4/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_lub_iff' 'h4/thm/extreal/max_le_'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_succ_r_prime' 'h4/thm/arithmetic/MULT_CLAUSES_e5'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_refl' 'h4/thm/integer/INT_LE_REFL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_succ_diag_r' 'h4/thm/real/REAL_POS_INFLATE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_b2z_div2'#@#variant 'h4/thm/extreal/extreal_sub_def_e6'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_cancel_l' 'h4/thm/rat/RAT_EQ_LADD_'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_empty_1' 'h4/thm/patricia/EMPTY_IS_PTREE_'
0. 'coq/Coq_NArith_BinNat_N_divide_factor_l' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_1_r' 'h4/thm/real/REAL_ADD_RID_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_id' 'h4/thm/real/REAL_MIN_REFL_'
0. 'coq/Coq_Bool_Bool_diff_false_true' 'h4/thm/ieee/roundmode_distinct_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftl_mul_pow2'#@#variant 'h4/thm/integer/INT_SUB_CALCULATE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_pos_l'#@#variant 'h4/thm/real/REAL_LE_LMUL_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_pos'#@#variant 'h4/thm/numeral/numeral_distrib_32'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_involutive' 'h4/thm/integerRing/int_rewrites_tLRRRRRRRRRRRRL'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gt_lt_iff' 'h4/thm/rat/rat_geq_def_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_divide_mono_r' 'h4/thm/arithmetic/LESS_MONO_MULT_'
0. 'coq/Coq_ZArith_BinInt_Z_lcm_divide_iff' 'h4/thm/extreal/max_le_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_lt_lin' 'h4/thm/transc/LN_LT_X_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_succ_le_mono' 'h4/thm/arithmetic/LESS_MONO_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_inj_wd' 'h4/thm/numRing/num_rewrites_tLRRRRRRLR'
0. 'coq/Coq_Reals_RIneq_Ropp_mult_distr_l' 'h4/thm/integer/INT_NEG_LMUL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_nge' 'h4/thm/integer/INT_NOT_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_rem_1_l'#@#variant 'h4/thm/arithmetic/ONE_MOD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_square_nonneg'#@#variant 'h4/thm/integer/INT_LE_SQUARE_'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qcle_lt_trans' 'h4/thm/rat/RAT_LEQ_LES_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_lt_mono_pos_r'#@#variant 'h4/thm/real/REAL_LE_RMUL_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_id' 'h4/thm/gcd/GCD_REF_'
0. 'coq/Coq_ZArith_BinInt_Z_add_opp_r' 'h4/thm/frac/frac_sub_def_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_lt_iff' 'h4/thm/util_prob/X_LE_MAX_'
0. 'coq/Coq_PArith_BinPos_Pos_add_succ_l' 'h4/thm/complex/COMPLEX_NEG_LDIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_lt_mono_r' 'h4/thm/arithmetic/LESS_MONO_ADD_EQ_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_setbit_spec_prime'#@#variant 'h4/thm/real/REAL_SUB_RNEG_'
0. 'coq/Coq_ZArith_BinInt_Z_le_refl' 'h4/thm/integer/TINT_EQ_REFL_'#@#variant
0. 'coq/Coq_QArith_QArith_base_inject_Z_opp' 'h4/thm/toto/num_dt_size_def_1'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_1_r' 'h4/thm/rat/RAT_ADD_RID_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div_same'#@#variant 'h4/thm/real/REAL_DIV_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_lt_mono_pos_r'#@#variant 'h4/thm/intExtension/INT_LT_RMUL_EXP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_1_l'#@#variant 'h4/thm/extreal/le_infty_tLL'
0. 'coq/Coq_ZArith_Zorder_Zsucc_lt_compat' 'h4/thm/bit/TWOEXP_MONO2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_pos_pos' 'h4/thm/realax/REAL_LT_MUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_refl' 'h4/thm/hrat/TRAT_EQ_REFL_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_gcd_divide_l' 'h4/thm/arithmetic/SUB_LESS_EQ_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_total' 'h4/thm/hreal/HREAL_LT_TOTAL_'
0. 'coq/Coq_ZArith_BinInt_Z_add_move_r' 'h4/thm/real/REAL_EQ_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_trichotomy' 'h4/thm/arithmetic/LESS_CASES_IMP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_lor' 'h4/thm/transc/EXP_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_succ_l' 'h4/thm/frac/FRAC_AINV_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_cancel_l' 'h4/thm/real/REAL_EQ_LADD_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_opp_l' 'h4/thm/complex/COMPLEX_MUL_LNEG_'#@#variant
0. 'coq/Coq_NArith_Ndigits_Pbit_Ptestbit' 'h4/thm/ratRing/rat_ring_thms_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_id' 'h4/thm/real/REAL_MIN_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_le_ngt' 'h4/thm/real/real_lt_'
0. 'coq/Coq_Reals_Rbasic_fun_Rmin_glb' 'h4/thm/divides/DIVIDES_ADD_1_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_nonneg_nonneg' 'h4/thm/integer/INT_LT_MUL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_testbit_even_0'#@#variant 'h4/thm/toto/num_dtOrd_4'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_eq_0' 'h4/thm/arithmetic/MULT_EQ_0_'
0. 'coq/Coq_NArith_BinNat_N_Even_or_Odd' 'h4/thm/arithmetic/EVEN_OR_ODD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ldiff_land' 'h4/thm/rat/RAT_SUB_ADDAINV_'
0. 'coq/Coq_ZArith_BinInt_Z_lxor_m1_l'#@#variant 'h4/thm/integer/INT_SUB_REDUCE_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_inj_wd' 'h4/thm/quote/index_11_0'
0. 'coq/Coq_NArith_BinNat_N_double_spec'#@#variant 'h4/thm/extreal/inv_1over_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lxor_m1_l'#@#variant 'h4/thm/integer/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_le_mono_r' 'h4/thm/hreal/HRAT_LT_RADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_add_r' 'h4/thm/arithmetic/EXP_ADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_glb_lt' 'h4/thm/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_add_lt_sub_r' 'h4/thm/arithmetic/SUB_LEFT_LESS_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_xO'#@#variant 'h4/thm/rat/RAT_AINV_CALCULATE_'
0. 'coq/Coq_PArith_BinPos_Pos_mul_lt_mono_l' 'h4/thm/hreal/HRAT_LT_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_max_l' 'h4/thm/realax/HREAL_LT_ADDL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_min_l' 'h4/thm/arithmetic/SUB_LESS_EQ_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_incr_twice_plus_one' 'h4/thm/numRing/num_rewrites_tRRLRR'
0. 'coq/Coq_Numbers_Cyclic_DoubleCyclic_DoubleBase_lt_0_wB'#@#variant 'h4/thm/realax/REAL_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_setbit_spec_prime'#@#variant 'h4/thm/rat/RAT_DIV_MULMINV_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_irrefl' 'h4/thm/realax/TREAL_LT_REFL_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_lt_mono'#@#variant 'h4/thm/real/REAL_LT_MUL2_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_le_sub_le_add_r' 'h4/thm/rat/RAT_RSUB_LES_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_r' 'h4/thm/real/REAL_MAX_ALT_0'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_double' 'h4/thm/toto/num_dt_size_def_e2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_lteq' 'h4/thm/rat/rat_leq_def_'
0. 'coq/Coq_Bool_Bool_diff_true_false' 'h4/thm/extreal/ne_02_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_max_distr' 'h4/thm/hrat/TRAT_LDISTRIB_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_cancel_l' 'h4/thm/rat/RAT_EQ_LADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_le_mono' 'h4/thm/arithmetic/LESS_MONO_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div2_nonneg'#@#variant 'h4/thm/numeral/numeral_distrib_32'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_nonneg_l'#@#variant 'h4/thm/logroot/ROOT_LE_MONO_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_pow_0_r'#@#variant 'h4/thm/integer/INT_MOD_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_pos_pos' 'h4/thm/integer/TINT_LT_MUL_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pplus_one_succ_l' 'h4/thm/integer/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_Arith_EqNat_eq_nat_refl' 'h4/thm/integer/TINT_EQ_REFL_'#@#variant
0. 'coq/Coq_Bool_Bool_negb_xorb_r' 'h4/thm/integer/INT_NEG_RMUL_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_of_Qc' 'h4/thm/string/CHR_ORD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_1_l' 'h4/thm/integer/INT_SUB_REDUCE_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_le_mono' 'h4/thm/transc/EXP_MONO_IMP_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_opp_opp' 'h4/thm/complex/COMPLEX_NEG_DIV2_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qplus_le_l' 'h4/thm/integer/INT_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gt_lt_iff' 'h4/thm/rat/rat_geq_def_'
0. 'coq/Coq_MMaps_MMapPositive_PositiveMap_E_bits_lt_antirefl' 'h4/thm/realax/HREAL_LT_REFL_'
0. 'coq/Coq_Bool_Bool_negb_false_iff' 'h4/thm/numeral/numeral_distrib_18'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_divide_mono_l' 'h4/thm/integer/INT_LT_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_inj_wd' 'h4/thm/string/EXPLODE_11_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_le_neq' 'h4/thm/integral/LT_LE_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_max_r' 'h4/thm/integer/INT_DIVIDES_MUL_e1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_succ_inj_wd' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_add_r' 'h4/thm/integer/INT_DIVIDES_MUL_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_lt_lin'#@#variant 'h4/thm/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_setbit_spec_prime'#@#variant 'h4/thm/frac/frac_div_def_'
0. 'coq/Coq_Reals_RIneq_Rgt_not_ge' 'h4/thm/real/REAL_LTE_ANTSYM_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_wf_0' 'h4/thm/prim_rec/WF_LESS_'
0. 'coq/Coq_NArith_BinNat_N_sub_add_distr' 'h4/thm/arithmetic/EXP_EXP_MULT_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_add_r' 'h4/thm/real/REAL_LE_MAX1_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_sub_le_add_r' 'h4/thm/real/REAL_LE_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_eq_mul_1'#@#variant 'h4/thm/gcd/GCD_EQ_0_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_sub' 'h4/thm/float/REAL_OF_NUM_SUB_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_pos_spec' 'h4/thm/complex/MODU_REAL_'#@#variant
0. 'coq/Coq_Lists_List_Forall_impl' 'h4/thm/list/MONO_EXISTS_'
0. 'coq/Coq_Reals_R_sqrt_sqrt_lt_R0'#@#variant 'h4/thm/transc/SQRT_POS_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lor_diag' 'h4/thm/arithmetic/MIN_IDEM_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_eq_le_incl' 'h4/thm/HolSmt/t006_'
0. 'coq/Coq_Reals_RIneq_Rinv_r_sym' 'h4/thm/real/REAL_MUL_RINV_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_lt_mono_r_iff'#@#variant 'h4/thm/integer/INT_LE_MONO_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_quot_1_r' 'h4/thm/real/REAL_ADD_RID_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_succ_lt_mono' 'h4/thm/numeral/numeral_lt_4'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_inj_wd' 'h4/thm/quote/index_11_e1'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_double'#@#variant 'h4/thm/util_prob/lg_inv_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_negb_even' 'h4/thm/frac/frac_sgn_def_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_le_mono' 'h4/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_1_r' 'h4/thm/extreal/sub_rzero_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_le_compat_l' 'h4/thm/realax/REAL_LT_IADD_'
0. 'coq/Coq_QArith_QOrderedType_QOrder_le_lt_trans' 'h4/thm/integer/INT_LET_TRANS_'
0. 'coq/Coq_MSets_MSetPositive_PositiveSet_choose_spec3_prime'#@#variant 'h4/thm/realax/TREAL_BIJ_WELLDEF_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_is_nonneg'#@#variant 'h4/thm/binary_ieee/zero_lt_twopow_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_pred_r' 'h4/thm/real/REAL_NEG_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_cancel_l' 'h4/thm/integer/INT_EQ_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lcm_eq_0' 'h4/thm/extreal/entire_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_opp_l' 'h4/thm/arithmetic/PRE_SUB_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigN_BigZ_spec_Z_of_N' 'h4/thm/rat/rat_dnm_def_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_add' 'h4/thm/complex/COMPLEX_SUB_ADD_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_compare_xI_xI' 'h4/thm/toto/qk_numeralOrd_6'
0. 'coq/Coq_NArith_Nnat_N2Nat_id' 'h4/thm/ieee/num2ccode_ccode2num_'
0. 'coq/Coq_ZArith_Zeven_Zquot2_opp' 'h4/thm/transc/SIN_NEG_'
0. 'coq/Coq_ZArith_BinInt_Z_pred_le_mono' 'h4/thm/numpair/tri_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_ge_cases' 'h4/thm/integer/INT_LE_TOTAL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_succ_le_mono' 'h4/thm/integerRing/int_rewrites_tRRRRRRLRRRR'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_le_iff' 'h4/thm/real/REAL_MIN_LE_'
0. 'coq/Coq_Bool_Bool_diff_false_true' 'h4/thm/toto/all_cpn_distinct_2'
0. 'coq/Coq_ZArith_BinInt_Z_le_sub_le_add_r' 'h4/thm/integer/INT_LT_ADD_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_clearbit_spec_prime'#@#variant 'h4/thm/frac/frac_sub_def_'
0. 'coq/Coq_QArith_Qabs_Qle_Qabs' 'h4/thm/numpair/tri_le_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_refl' 'h4/thm/poly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_succ' 'h4/thm/complex/COMPLEX_EXP_NEG_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_1_r' 'h4/thm/real/REAL_ADD_RID_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pred_le_mono' 'h4/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_add_r' 'h4/thm/realax/HREAL_LT_ADDL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_mul_r' 'h4/thm/integer/INT_DIVIDES_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_rem_same' 'h4/thm/integer/INT_MOD_ID_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_pred_r' 'h4/thm/extreal/mul_rneg_'
0. 'coq/Coq_ZArith_BinInt_Z_ldiff_m1_l'#@#variant 'h4/thm/HolSmt/r129_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_rem_opp_l_prime' 'h4/thm/arithmetic/ADD_e1'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftr_div_pow2'#@#variant 'h4/thm/HolSmt/r131_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_sin_pos_tech'#@#variant 'h4/thm/transc/SIN_POS_'#@#variant
0. 'coq/Coq_Arith_Factorial_fact_le' 'h4/thm/hrat/TRAT_INV_WELLDEFINED_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lt_nge' 'h4/thm/extreal/extreal_lt_def_'
0. 'coq/Coq_ZArith_BinInt_Z_odd_1' 'h4/thm/ieee/Minus_infinity_'#@#variant
0. 'coq/Coq_ZArith_Znat_nat_N_Z' 'h4/thm/rat/rat_nmr_def_'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_le_mono_l_iff' 'h4/thm/int_arith/INT_DIVIDES_LRMUL_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_divide_xO_xO' 'h4/thm/integerRing/int_rewrites_tLRRRLRRR'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_asymm' 'h4/thm/real/REAL_LT_GT_'
0. 'coq/Coq_ZArith_Znat_positive_N_nat' 'h4/thm/realax/hreal_of_real_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pos_pred_succ' 'h4/thm/ieee/roundmode_BIJ_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_nle_gt' 'h4/thm/real/real_lt_'
0. 'coq/Coq_Reals_Rminmax_R_minus_min_distr_l' 'h4/thm/transc/RPOW_ADD_'
0. 'coq/Coq_ZArith_Znat_Z_N_nat' 'h4/thm/complex/MODU_NUM_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_rem_small'#@#variant 'h4/thm/integer/INT_LESS_MOD_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_of_Qc' 'h4/thm/hrat/hrat_sucint_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_succ_diag_r' 'h4/thm/prim_rec/LESS_SUC_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_le_compat_r' 'h4/thm/integer/TINT_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_neq' 'h4/thm/extreal/lt_imp_ne_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_succ_diag_r' 'h4/thm/real/ABS_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_le_iff' 'h4/thm/arithmetic/MAX_LE_0'
0. 'coq/Coq_Arith_Gt_gt_irrefl' 'h4/thm/realax/REAL_LT_REFL_'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_iff' 'h4/thm/rat/RAT_EQ_NUM_CALCULATE_0'
0. 'coq/Coq_QArith_Qreals_Q2R_opp' 'h4/thm/quote/index_size_def_0'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_quot_1_r' 'h4/thm/rat/RAT_ADD_RID_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_pred_double_succ' 'h4/thm/numRing/num_rewrites_tLRLRR'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_r' 'h4/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_1_l' 'h4/thm/integer/INT_SUB_REDUCE_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_lt_mono' 'h4/thm/numeral/numeral_distrib_22'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_max_distr' 'h4/thm/transc/EXP_SUB_'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_iff' 'h4/thm/binary_ieee/rounding_EQ_rounding_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_lt_mono_r_iff'#@#variant 'h4/thm/integer/INT_LE_MONO_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mod_1_l'#@#variant 'h4/thm/arithmetic/ZERO_DIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_pred_of_succ_nat' 'h4/thm/numRing/num_ring_thms_e17'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_neq_0_succ' 'h4/thm/arithmetic/SUC_NOT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_refl' 'h4/thm/integer/INT_DIVIDES_REFL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_lt_mono_l' 'h4/thm/real/REAL_LE_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_id' 'h4/thm/gcd/GCD_REF_'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_add_r' 'h4/thm/arithmetic/EXP_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_max_r' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_1'
0. 'coq/Coq_NArith_BinNat_N_pow_1_r' 'h4/thm/HolSmt/r127_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_of_N' 'h4/thm/complex/MODU_NUM_'#@#variant
0. 'coq/Coq_QArith_Qround_Qfloor_Z' 'h4/thm/patricia_casts/num_to_string_string_to_num_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_pos_neg'#@#variant 'h4/thm/extreal/mul_le_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lor_lnot_diag'#@#variant 'h4/thm/rat/RAT_ADD_RINV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_le_mono' 'h4/thm/real/REAL_LE_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_opp_r' 'h4/thm/real/REAL_SUB_RNEG_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_opp' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_ZArith_BinInt_Z_mul_1_l' 'h4/thm/integer/INT_ADD_REDUCE_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_ngt' 'h4/thm/integer/INT_NOT_LT_'
0. 'coq/Coq_ZArith_Zpow_facts_Zpower_pos_1_r' 'h4/thm/complex/COMPLEX_POW_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftl_mul_pow2'#@#variant 'h4/thm/complex/complex_div_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_succ_r' 'h4/thm/arithmetic/ADD_SUC_'
0. 'coq/Coq_Arith_PeanoNat_Nat_land_diag' 'h4/thm/extreal/min_refl_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lnot_ones' 'h4/thm/integer/TINT_ADD_LINV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div_1_r' 'h4/thm/real/REAL_ADD_RID_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_sub_mask_neg_iff_prime' 'h4/thm/quote/index_lt_def_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_succ_diag_r' 'h4/thm/real/REAL_POS_INFLATE_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_pos' 'h4/thm/ieee/Fraction_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_shiftl_1_l'#@#variant 'h4/thm/integer/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_succ' 'h4/thm/extreal/extreal_sqrt_def_0'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_succ_r' 'h4/thm/integer/INT_MUL_CALCULATE_2'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_iff' 'h4/thm/toto/cpn_EQ_cpn_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_pred_r' 'h4/thm/real/REAL_MUL_RNEG_'
0. 'coq/Coq_ZArith_BinInt_Z_lxor_eq' 'h4/thm/extreal/sub_0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_pos_pos' 'h4/thm/realax/REAL_LT_MUL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_total' 'h4/thm/hreal/HRAT_LT_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_eq_0_r' 'h4/thm/intExtension/INT_NOT0_MUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_Zpos' 'h4/thm/string/char_lt_def_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_lt_mono_l' 'h4/thm/arithmetic/LT_ADD_LCANCEL_'
0. 'coq/Coq_ZArith_BinInt_Z_add_lt_mono_r' 'h4/thm/rat/RAT_LES_RADD_'
0. 'coq/Coq_NArith_Ndec_Nleb_Nle' 'h4/thm/quote/index_lt_def_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_add_lt_sub_r' 'h4/thm/real/REAL_LT_SUB_LADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftr_opp_r' 'h4/thm/HolSmt/r131_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_le_mono' 'h4/thm/integer/TINT_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_glb' 'h4/thm/divides/DIVIDES_ADD_1_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_iff' 'h4/thm/toto/cpn2num_11_'
0. 'coq/Coq_ZArith_BinInt_Zpos_eq_iff' 'h4/thm/string/CHAR_EQ_THM_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_le_iff' 'h4/thm/arithmetic/MAX_LE_0'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_max_r' 'h4/thm/real/REAL_LE_MAX2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_eq_le_incl' 'h4/thm/hrat/TRAT_EQ_AP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pred_succ' 'h4/thm/numeral/numeral_add_0'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_factor_l' 'h4/thm/integer/INT_DIVIDES_MUL_0'
0. 'coq/Coq_QArith_QOrderedType_QOrder_lt_eq' 'h4/thm/arithmetic/LESS_LESS_EQ_TRANS_'
0. 'coq/Coq_Arith_Le_le_n_S' 'h4/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_nle_gt' 'h4/thm/integer/INT_NOT_LE_'
0. 'coq/Coq_NArith_BinNat_N_add_lt_mono_l' 'h4/thm/realax/HREAL_LT_LADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_lt_iff' 'h4/thm/arithmetic/MIN_LE_0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_cancel_l' 'h4/thm/integer/INT_EQ_LADD_'
0. 'coq/Coq_Reals_RIneq_Rinv_r' 'h4/thm/rat/RAT_MUL_RINV_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_le_mono_l' 'h4/thm/integer/INT_LE_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_lt_mono_neg_l' 'h4/thm/rat/RAT_LES_LMUL_NEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_wf_0'#@#variant 'h4/thm/prim_rec/WF_LESS_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_ngt' 'h4/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_NArith_BinNat_N_add_le_mono_r' 'h4/thm/arithmetic/LESS_MONO_ADD_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_glb_lt' 'h4/thm/divides/DIVIDES_ADD_1_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_factor_l' 'h4/thm/realax/HREAL_LT_ADDL_'
0. 'coq/Coq_Bool_Bool_xorb_true_l' 'h4/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_neq' 'h4/thm/real/REAL_LT_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_lt_mono_r_iff'#@#variant 'h4/thm/integer/INT_LT_MONO_'#@#variant
0. 'coq/Coq_Reals_RIneq_cond_nonzero' 'h4/thm/binary_ieee/zero_neq_twopow_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_lt_mono_pos_r'#@#variant 'h4/thm/intExtension/INT_LT_RMUL_EXP_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_le_iff' 'h4/thm/util_prob/X_LE_MAX_'
0. 'coq/Coq_ZArith_Zorder_Zsucc_le_compat' 'h4/thm/bit/TWOEXP_MONO_'#@#variant
0. 'coq/Coq_Reals_Ratan_Datan_seq_pos'#@#variant 'h4/thm/real/REAL_POW_LT_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_opp_succ' 'h4/thm/numRing/num_rewrites_tLLRRRRRR'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftr_opp_r' 'h4/thm/extreal/extreal_div_def_'
0. 'coq/Coq_NArith_BinNat_N_mod_1_l'#@#variant 'h4/thm/arithmetic/ONE_MOD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_pos_nonneg'#@#variant 'h4/thm/integer/INT_LTE_ADD_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_log2' 'h4/thm/toto/num_dt_size_def_e2'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_mul_lt_mono_r' 'h4/thm/integer/INT_LT_RADD_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_div2' 'h4/thm/extreal/extreal_exp_def_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pos_pred_succ' 'h4/thm/string/CHR_ORD_'
0. 'coq/Coq_Reals_RIneq_Rplus_ge_gt_compat' 'h4/thm/real/REAL_LET_ADD2_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_le_mono_r_iff'#@#variant 'h4/thm/arithmetic/EXP_BASE_LE_MONO_'#@#variant
0. 'coq/Coq_Strings_Ascii_ascii_N_embedding' 'h4/thm/frac/frac_bij_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div2_succ_double' 'h4/thm/numpair/invtri_linverse_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_lt_mono_l' 'h4/thm/hreal/HRAT_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_antisymm' 'h4/thm/divides/DIVIDES_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_1_l' 'h4/thm/integer/INT_ADD_LID_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_id' 'h4/thm/extreal/max_refl_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_pos_nonneg'#@#variant 'h4/thm/extreal/let_mul_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_Zabs' 'h4/thm/extreal/extreal_exp_def_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_min_r' 'h4/thm/real/REAL_MIN_LE2_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_lt_mono_l' 'h4/thm/integer/LT_LADD_'
0. 'coq/Coq_ZArith_BinInt_Z_succ_inj_wd' 'h4/thm/numRing/num_rewrites_tRRRRRRRLR'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftl_opp_r' 'h4/thm/complex/COMPLEX_SUB_RNEG_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_le_incl' 'h4/thm/arithmetic/LESS_IMP_LESS_OR_EQ_'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_nonneg' 'h4/thm/transc/ATN_0'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_pred_of_succ_nat' 'h4/thm/frac/frac_sgn_def_'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_le_mono' 'h4/thm/numpair/tri_LT_I_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_le_iff' 'h4/thm/real/REAL_MIN_LE_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_add_r' 'h4/thm/real/REAL_LE_MAX1_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_1_mul_pos'#@#variant 'h4/thm/extreal/let_mul_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_odd_1' 'h4/thm/float/FLOAT_INFINITIES_SIGNED_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_0_r' 'h4/thm/extreal/le_infty_tRL'
0. 'coq/Coq_ZArith_BinInt_Z_pred_inj_wd' 'h4/thm/integer/INT_EQ_CALCULATE_1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_le_mono' 'h4/thm/prim_rec/LESS_MONO_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_pos_nonneg'#@#variant 'h4/thm/integer/INT_LTE_ADD_'#@#variant
0. 'coq/Coq_QArith_Qreduction_Qred_opp' 'h4/thm/transc/TAN_NEG_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_le_mono' 'h4/thm/bit/TWOEXP_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_nlt_0_r' 'h4/thm/prim_rec/NOT_LESS_0_'
0. 'coq/Coq_Reals_Rfunctions_pow_O' 'h4/thm/integer/INT_EXP_REDUCE_0'#@#variant
0. 'coq/Coq_Bool_Bool_orb_prop' 'h4/thm/intExtension/INT_NOT0_MUL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_shuffle3' 'h4/thm/HolSmt/r086_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_eq_cases' 'h4/thm/integer/INT_LE_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_mod' 'h4/thm/integer/INT_MOD_SUB_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_sqrt_2' 'h4/thm/real/REAL_THIRDS_BETWEEN_e4'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_lt' 'h4/thm/real/REAL_OF_NUM_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_compare_eq_iff' 'h4/thm/quote/compare_index_equal_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_1_r' 'h4/thm/HolSmt/r223_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_add_pos_l'#@#variant 'h4/thm/arithmetic/X_LT_EXP_X_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_pred_inj_wd' 'h4/thm/integer/INT_EQ_NEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_lt_mono_l' 'h4/thm/real/REAL_LE_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_le_compat_r' 'h4/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_lcm_divide_iff' 'h4/thm/util_prob/MAX_LE_X_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_neq' 'h4/thm/rat/RAT_LES_IMP_NEQ_'
0. 'coq/Coq_ZArith_BinInt_Z_ldiff_m1_r'#@#variant 'h4/thm/numeral/numeral_distrib_11'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_1_r' 'h4/thm/extreal/add_rzero_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_lteq' 'h4/thm/arithmetic/GREATER_OR_EQ_'
0. 'coq/Coq_Reals_RIneq_Rinv_le_contravar'#@#variant 'h4/thm/real/REAL_LT_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_succ_diag_r' 'h4/thm/real/REAL_POS_INFLATE_'
0. 'coq/Coq_ZArith_BinInt_Z_land_lnot_diag' 'h4/thm/hreal/HRAT_MUL_RINV_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_succ_l' 'h4/thm/arithmetic/ADD_e1'
0. 'coq/Coq_ZArith_Zdiv_div_Zdiv' 'h4/thm/integer/INT_DIV_CALCULATE_0'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_glb' 'h4/thm/divides/DIVIDES_ADD_1_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_succ_le_mono' 'h4/thm/integerRing/int_rewrites_tLRRRRLRRR'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pred_le_mono' 'h4/thm/real/REAL_POS_MONO_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_le_compat_r' 'h4/thm/extreal/le_radd_imp_'
0. 'coq/Coq_NArith_BinNat_N_nlt_ge' 'h4/thm/arithmetic/NOT_LESS_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pred_succ' 'h4/thm/transc/ATN_TAN_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_1_l'#@#variant 'h4/thm/numeral/numeral_texp_help_0'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_le_mono_r' 'h4/thm/arithmetic/LESS_MONO_ADD_EQ_'
0. 'coq/Coq_PArith_BinPos_Pos_succ_pred_double' 'h4/thm/numeral/numeral_suc_1'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pos_pred_spec' 'h4/thm/integerRing/int_ring_thms_e17'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sub_cancel_l' 'h4/thm/integer/EQ_LADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_0_l'#@#variant 'h4/thm/integral/LE_0_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_divide_xO_xO' 'h4/thm/numeral/numeral_lte_3'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_mul_r' 'h4/thm/integer/INT_DIVIDES_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_double_inj' 'h4/thm/num/INV_SUC_'
0. 'coq/Coq_NArith_BinNat_N_lt_succ_diag_r' 'h4/thm/real/ABS_LE_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_le_compat_r' 'h4/thm/hrat/TRAT_MUL_WELLDEFINED_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_opp_r' 'h4/thm/extreal/extreal_div_def_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_greatest' 'h4/thm/divides/DIVIDES_ADD_1_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_1_l'#@#variant 'h4/thm/integral/LE_0_'
0. 'coq/Coq_ZArith_BinInt_Z_div_1_r' 'h4/thm/real/REAL_ADD_RID_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_add_r' 'h4/thm/transc/RPOW_ADD_'
0. 'coq/Coq_ZArith_Znat_Zabs_nat_N' 'h4/thm/extreal/extreal_of_num_def_'
0. 'coq/Coq_Reals_RIneq_Rlt_le_trans' 'h4/thm/rat/RAT_LES_LEQ_TRANS_'
0. 'coq/Coq_PArith_BinPos_Pos_divide_add_cancel_l' 'h4/thm/poly/POLY_DIVIDES_SUB2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_eq_mul_0_r' 'h4/thm/intExtension/INT_NOT0_MUL_'#@#variant
0. 'coq/Coq_Reals_Rfunctions_tech_pow_Rmult' 'h4/thm/poly/poly_exp_def_e1'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_lt' 'h4/thm/float/REAL_OF_NUM_LT_'
0. 'coq/Coq_ZArith_BinInt_Zminus_succ_l' 'h4/thm/integer/INT_NEG_LMUL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sub_le_mono_r' 'h4/thm/arithmetic/LESS_MONO_MULT_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_even' 'h4/thm/extreal/extreal_of_num_def_'
0. 'coq/Coq_Reals_RIneq_Ropp_minus_distr_prime' 'h4/thm/integer/INT_NEG_SUB_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_le_mono_r' 'h4/thm/arithmetic/LT_ADD_RCANCEL_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_pos_pos' 'h4/thm/binary_ieee/le2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_Zpos' 'h4/thm/string/char_ge_def_'
0. 'coq/Coq_NArith_BinNat_N_lnot_ones' 'h4/thm/integer/INT_ADD_LINV_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_divide_refl' 'h4/thm/integer/INT_DIVIDES_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_le_mono_r_iff'#@#variant 'h4/thm/arithmetic/EXP_BASE_LT_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_add_le_sub_r' 'h4/thm/integer/INT_LE_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_max_r' 'h4/thm/real/REAL_LE_MAX2_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_pos_r'#@#variant 'h4/thm/real/REAL_LE_RMUL_'#@#variant
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_l2i_i2l'#@#variant 'h4/thm/num/num_ISO_DEF_0'
0. 'coq/Coq_ZArith_Zorder_Zgt_asym' 'h4/thm/real/REAL_LT_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_le_mono' 'h4/thm/transc/EXP_MONO_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_neq_succ_diag_r' 'h4/thm/prim_rec/SUC_ID_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_div_str_pos'#@#variant 'h4/thm/bit/DIV_GT0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_1_l'#@#variant 'h4/thm/divides/ONE_DIVIDES_ALL_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_lt_le_incl' 'h4/thm/extreal/lt_imp_le_'
0. 'coq/Coq_ZArith_Zlogarithm_log_inf_correct/1' 'h4/thm/complex/RE_IM_LE_MODU_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_0_sub'#@#variant 'h4/thm/rat/RAT_LES_0SUB_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rmult_integral' 'h4/thm/intExtension/INT_NOT0_MUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_lt_mono_r' 'h4/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_1_l'#@#variant 'h4/thm/util_prob/lg_def_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_inj_wd' 'h4/thm/numRing/num_rewrites_tLRRRRRRLR'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_gt_lt_iff' 'h4/thm/pred_set/COUNT_applied_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_nonneg'#@#variant 'h4/thm/integer/INT_NEG_GT0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_xO_r' 'h4/thm/rat/RAT_AINV_RMUL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_succ_not_1' 'h4/thm/quote/index_distinct_e2'
0. 'coq/Coq_ZArith_BinInt_Z_lor_diag' 'h4/thm/extreal/max_refl_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_div2' 'h4/thm/toto/num_dt_size_def_e2'#@#variant
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_iff' 'h4/thm/ASCIInumbers/toString_11_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_1_l'#@#variant 'h4/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_1_l' 'h4/thm/HolSmt/r128_'
0. 'coq/Coq_QArith_QArith_base_Qnot_le_lt' 'h4/thm/integer/INT_LTE_TOTAL_'
0. 'coq/Coq_NArith_BinNat_N_succ_0_discr' 'h4/thm/num/NOT_SUC_'
0. 'coq/Coq_Bool_Bool_eqb_true_iff' 'h4/thm/integer/INT_SUB_0_'#@#variant
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_incr' 'h4/thm/quote/index_size_def_0'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_0_l' 'h4/thm/realax/TREAL_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_lt_mono_r_iff'#@#variant 'h4/thm/transc/RPOW_LE_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_le_refl' 'h4/thm/hrat/TRAT_EQ_REFL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_nle_gt' 'h4/thm/HolSmt/r096_'
0. 'coq/Coq_Reals_RIneq_Rle_refl' 'h4/thm/real/REAL_LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_1_l'#@#variant 'h4/thm/rat/RAT_SUB_LID_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_le_iff' 'h4/thm/arithmetic/MAX_LE_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_lt_mono_r' 'h4/thm/arithmetic/LT_ADD_RCANCEL_'
0. 'coq/Coq_PArith_BinPos_Pos_pred_succ' 'h4/thm/transc/ATN_e2'
0. 'coq/Coq_QArith_Qminmax_Q_max_lt_iff' 'h4/thm/extreal/le_max_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_inj_wd' 'h4/thm/rat/RAT_EQ_AINV_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftl_mul_pow2'#@#variant 'h4/thm/rat/RAT_SUB_ADDAINV_'
0. 'coq/Coq_NArith_BinNat_N_setbit_spec_prime'#@#variant 'h4/thm/integer/INT_SUB_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_refl' 'h4/thm/hrat/TRAT_EQ_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_refl' 'h4/thm/integer/TINT_EQ_REFL_'#@#variant
0. 'coq/Coq_Reals_Rtrigo_calc_Rlt_3PI2_2PI'#@#variant 'h4/thm/util_prob/HALF_LT_1_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lnot_lor' 'h4/thm/complex/COMPLEX_EXP_SUB_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_succ_l' 'h4/thm/complex/COMPLEX_MUL_LNEG_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_lcm_r' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_mod' 'h4/thm/integer/INT_MOD_PLUS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_lt_mono_r_iff'#@#variant 'h4/thm/rat/RAT_LES_LMUL_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftl_1_l'#@#variant 'h4/thm/HolSmt/r221_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_neq_succ_diag_l' 'h4/thm/prim_rec/SUC_ID_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_le' 'h4/thm/real/REAL_OF_NUM_LE_'
0. 'coq/Coq_ZArith_BinInt_Z_succ_lt_mono' 'h4/thm/transc/EXP_MONO_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_Even_succ' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRL'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_pred_double_succ' 'h4/thm/numeral/numeral_suc_1'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_succ_inj_wd' 'h4/thm/integerRing/int_rewrites_tLRRRLRRRR'
0. 'coq/Coq_Arith_PeanoNat_Nat_min_id' 'h4/thm/real/REAL_MAX_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_compare_eq_iff' 'h4/thm/quote/compare_index_equal_'
0. 'coq/Coq_QArith_QArith_base_inject_Z_opp' 'h4/thm/rat/RAT_AINV_CALCULATE_'
0. 'coq/Coq_NArith_Nnat_Nat2N_id' 'h4/thm/patricia_casts/num_to_string_string_to_num_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lnot_ones' 'h4/thm/bit/SUC_SUB_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_nge' 'h4/thm/rat/RAT_LES_LEQ_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_add_le' 'h4/thm/real/REAL_ABS_TRIANGLE_'
0. 'coq/Coq_NArith_Nnat_N2Nat_id' 'h4/thm/ASCIInumbers/toString_toNum_cancel_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pos_pred_succ' 'h4/thm/prelim/num2ordering_ordering2num_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div_pos'#@#variant 'h4/thm/real/REAL_LTE_ADD_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_opp_r' 'h4/thm/real/REAL_SUB_RNEG_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_digits/0'#@#variant 'h4/thm/float/twogz_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_min_id' 'h4/thm/gcd/GCD_REF_'
0. 'coq/Coq_Reals_RIneq_Rmult_le_reg_l'#@#variant 'h4/thm/float/REAL_LE_LCANCEL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_eq_cases' 'h4/thm/arithmetic/GREATER_OR_EQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_pos_l'#@#variant 'h4/thm/int_arith/justify_divides_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_total' 'h4/thm/real/REAL_LT_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_divide_xO_xO' 'h4/thm/numpair/tri_LT_'
0. 'coq/Coq_ZArith_Zorder_Zlt_neg_0' 'h4/thm/extreal/lt_infty_1'
0. 'coq/Coq_Init_Datatypes_CompOpp_iff' 'h4/thm/integer/INT_NEG_EQ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_nonneg' 'h4/thm/prim_rec/LESS_0_'
0. 'coq/Coq_ZArith_BinInt_Z_add_cancel_l' 'h4/thm/hreal/HRAT_EQ_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_le_mono_pos_l'#@#variant 'h4/thm/logroot/LE_EXP_ISO_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_nlt' 'h4/thm/HolSmt/r096_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_le_mono_r' 'h4/thm/rat/RAT_LES_RADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_rem_1_r'#@#variant 'h4/thm/numeral/numeral_distrib_11'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_succ_r' 'h4/thm/arithmetic/ADD_SUC_'
0. 'coq/Coq_PArith_BinPos_Pos_mul_xO_r' 'h4/thm/arithmetic/ADD_SUC_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_pos_r'#@#variant 'h4/thm/real/REAL_LT_RMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_ldiff_diag' 'h4/thm/rat/RAT_SUB_ID_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_lt' 'h4/thm/string/char_gt_def_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_le' 'h4/thm/float/REAL_OF_NUM_LT_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_neq_1_0' 'h4/thm/integer/TINT_10_'#@#variant
0. 'coq/Coq_Arith_EqNat_eq_nat_refl' 'h4/thm/hrat/TRAT_EQ_REFL_'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_sub' 'h4/thm/float/REAL_OF_NUM_SUB_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_Zpos' 'h4/thm/extreal/extreal_lt_eq_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_nonneg_pos'#@#variant 'h4/thm/extreal/let_add_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_succ_l' 'h4/thm/integer/INT_NEG_LMUL_'
0. 'coq/Coq_ZArith_BinInt_Z_ge_le_iff' 'h4/thm/real/real_gt_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_succ_inj_wd' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_pred_l' 'h4/thm/complex/COMPLEX_MUL_LNEG_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_succ_l' 'h4/thm/extreal/mul_lneg_'
0. 'coq/Coq_NArith_BinNat_N_divide_add_cancel_r' 'h4/thm/divides/DIVIDES_ADD_2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div_pos'#@#variant 'h4/thm/util_prob/REAL_LE_LT_MUL_'#@#variant
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_iff' 'h4/thm/integerRing/int_calculate_8'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_id' 'h4/thm/extreal/real_normal_'
0. 'coq/Coq_ZArith_Znat_Zabs_nat_N' 'h4/thm/ieee/Fraction_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_lt_mono_r' 'h4/thm/hreal/HRAT_LT_RADD_'
0. 'coq/Coq_NArith_BinNat_N_testbit_even_0'#@#variant 'h4/thm/toto/qk_numeralOrd_3'
0. 'coq/Coq_ZArith_BinInt_Z_succ_le_mono' 'h4/thm/numeral/numeral_distrib_28'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_lxor_l' 'h4/thm/integer/INT_MUL_CALCULATE_1'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_lt_trans' 'h4/thm/extreal/let_trans_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_le_mono' 'h4/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zplus_lt_compat_r' 'h4/thm/integer/TINT_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pred_succ' 'h4/thm/numeral/DIV2_BIT1_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_add_lt_sub_r' 'h4/thm/real/REAL_LT_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sub_max_distr_l' 'h4/thm/transc/RPOW_ADD_'
0. 'coq/Coq_ZArith_Zdiv_Zmod_1_r'#@#variant 'h4/thm/numeral/numeral_exp_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_0_succ' 'h4/thm/divides/ZERO_LT_PRIMES_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_lt_mono_pos_l'#@#variant 'h4/thm/transc/RPOW_LT_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_eq'#@#variant 'h4/thm/intExtension/INT_ABS_CALCULATE_POS_'#@#variant
0. 'coq/Coq_ZArith_Znumtheory_not_prime_0' 'h4/thm/float/INFINITY_NOT_NAN_0'
0. 'coq/Coq_ZArith_BinInt_Z_add_opp_diag_l' 'h4/thm/rat/RAT_ADD_LINV_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_succ_inj_wd' 'h4/thm/real/REAL_INV_INJ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_1' 'h4/thm/real/REAL_INV_0_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_inv_normc' 'h4/thm/toto/num_dt_size_def_1'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_iff' 'h4/thm/string_num/s2n_11_'#@#variant
0. 'coq/Coq_QArith_Qreduction_Qred_compare' 'h4/thm/toto/num_dtOrd_e8'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_opp_r' 'h4/thm/frac/frac_div_def_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_neg_neg'#@#variant 'h4/thm/extreal/lt_mul_neg_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_pos_neg'#@#variant 'h4/thm/extreal/mul_lte_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_total' 'h4/thm/realax/REAL_LT_TOTAL_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_l2i_i2l'#@#variant 'h4/thm/ieee/num2roundmode_roundmode2num_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_1_r' 'h4/thm/integer/INT_ADD_RID_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_lcm_r' 'h4/thm/extreal/le_max2_'
0. 'coq/Coq_ZArith_Zgcd_alt_Zgcd_is_gcd' 'h4/thm/gcd/GCD_IS_GCD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_1_l' 'h4/thm/real/REAL_ADD_LID_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_opp_norm' 'h4/thm/extreal/le_inv_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_cancel_r' 'h4/thm/arithmetic/EQ_ADD_RCANCEL_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_pos' 'h4/thm/realax/hreal_of_real_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_r' 'h4/thm/real/REAL_MIN_ALT_e1'
0. 'coq/Coq_NArith_BinNat_N_nlt_ge' 'h4/thm/real/REAL_NOT_LT_'
0. 'coq/Coq_ZArith_BinInt_Z_eq_le_incl' 'h4/thm/hrat/TRAT_EQ_AP_'#@#variant
0. 'coq/Coq_Init_Datatypes_CompOpp_involutive' 'h4/thm/integer/INT_MOD_CALCULATE_2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_cancel_r' 'h4/thm/integer/INT_EQ_RADD_'
0. 'coq/Coq_ZArith_BinInt_Z_pow_1_r' 'h4/thm/extreal/add_rzero_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_opp_r' 'h4/thm/frac/frac_sub_def_'
0. 'coq/Coq_NArith_BinNat_N_neq_0_lt_0'#@#variant 'h4/thm/extreal/lt_infty_e6'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_le_gt_cases' 'h4/thm/real/REAL_LET_TOTAL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_compare_xI_xI' 'h4/thm/toto/qk_numeralOrd_6'
0. 'coq/Coq_Arith_EqNat_eq_nat_refl' 'h4/thm/rat/RAT_EQUIV_REF_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_red' 'h4/thm/extreal/extreal_sqrt_def_0'
0. 'coq/Coq_Reals_Rtrigo_calc_sqrt2_neq_0'#@#variant 'h4/thm/binary_ieee/float_compare_distinct_2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_nle_gt' 'h4/thm/real/real_lt_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_lt_mono_r' 'h4/thm/integer/INT_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_pos_r'#@#variant 'h4/thm/logroot/EXP_LE_ISO_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_succ_l' 'h4/thm/integer/INT_NEG_LMUL_'
0. 'coq/Coq_ZArith_Znat_N_nat_Z' 'h4/thm/ieee/Exponent_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_le_lin'#@#variant 'h4/thm/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_ge_le_iff' 'h4/thm/arithmetic/GREATER_DEF_'
0. 'coq/Coq_ZArith_Zquot_Z_quot_pos' 'h4/thm/realax/REAL_LT_MUL_'
0. 'coq/Coq_Reals_AltSeries_PI_tg_pos'#@#variant 'h4/thm/float/twogz_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_total' 'h4/thm/rat/RAT_LES_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_compare_xO_xO' 'h4/thm/toto/qk_numeralOrd_5'
0. 'coq/Coq_QArith_QArith_base_Qnot_lt_le' 'h4/thm/arithmetic/LESS_CASES_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_neq_succ_0' 'h4/thm/num/ZERO_REP_DEF_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_opp_opp' 'h4/thm/complex/COMPLEX_NEG_DIV2_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sgn_opp' 'h4/thm/DeepSyntax/neginf_def_2'
0. 'coq/Coq_ZArith_BinInt_Z_lt_succ_diag_r' 'h4/thm/real/ABS_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_refl' 'h4/thm/realax/TREAL_EQ_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gt_lt_iff' 'h4/thm/integer/int_gt_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_le_mono' 'h4/thm/divides/LT_PRIMES_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_le' 'h4/thm/string/char_gt_def_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_le_mono' 'h4/thm/prim_rec/LESS_MONO_'
0. 'coq/Coq_ZArith_Zquot_Zquot_opp_l' 'h4/thm/arithmetic/ADD_CLAUSES_2'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_min_l' 'h4/thm/arithmetic/SUB_LESS_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_lt_mono_r'#@#variant 'h4/thm/extreal/le_lmul_imp_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_0_r' 'h4/thm/arithmetic/LESS_EQ_0_'
0. 'coq/Coq_PArith_Pnat_SuccNat2Pos_inj_succ' 'h4/thm/extreal/extreal_ainv_def_e2'
0. 'coq/Coq_ZArith_Zorder_Zgt_asym' 'h4/thm/hreal/HRAT_LT_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_le_compat_r' 'h4/thm/arithmetic/LESS_MONO_MULT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_pos_le'#@#variant 'h4/thm/divides/DIVIDES_LE_'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_minus_one_neq_zero'#@#variant 'h4/thm/ieee/ccode_distinct_e5'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_le_mono' 'h4/thm/real/REAL_LE_NEG_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_iff' 'h4/thm/integer/INT_REM_CALCULATE_3'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_succ_lt_mono' 'h4/thm/arithmetic/LESS_MONO_EQ_'
0. 'coq/Coq_Reals_Rtrigo1_PI2_Rlt_PI'#@#variant 'h4/thm/extreal/lt_infty_2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_ngt' 'h4/thm/integer/INT_NOT_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_neg_pos_cases'#@#variant 'h4/thm/intExtension/INT_NE_IMP_LTGT_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_le_trans' 'h4/thm/arithmetic/LESS_LESS_EQ_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div_pos'#@#variant 'h4/thm/real/REAL_LTE_ADD_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_id' 'h4/thm/real/REAL_MAX_REFL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_lor' 'h4/thm/complex/COMPLEX_EXP_ADD_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_le_sub_le_add_r' 'h4/thm/real/REAL_LT_SUB_LADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_clearbit_spec_prime'#@#variant 'h4/thm/integer/INT_SUB_CALCULATE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_pos_r'#@#variant 'h4/thm/real/REAL_LT_RDIV_'#@#variant
0. 'coq/Coq_PArith_Pnat_SuccNat2Pos_inj_iff' 'h4/thm/real/REAL_INJ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_nge' 'h4/thm/real/REAL_NOT_LT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_le_mono_pos_l'#@#variant 'h4/thm/rat/RAT_LES_LMUL_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_1_r'#@#variant 'h4/thm/arithmetic/ADD1_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_succ_lt_mono' 'h4/thm/numeral/numeral_lt_3'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_minus_one_neq_zero'#@#variant 'h4/thm/ieee/ccode_distinct_3'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_le_mono_r_iff'#@#variant 'h4/thm/rat/RAT_LES_LMUL_POS_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_pos_cancel_r'#@#variant 'h4/thm/real/REAL_LT_RMUL_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_Zpos' 'h4/thm/string/char_lt_def_'
0. 'coq/Coq_Reals_RIneq_Rnot_ge_gt' 'h4/thm/real/REAL_LET_TOTAL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_xO_r' 'h4/thm/extreal/mul_rneg_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_div2' 'h4/thm/quote/index_size_def_1'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_min_le_iff' 'h4/thm/arithmetic/MIN_LE_0'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_iff' 'h4/thm/ASCIInumbers/toString_inj_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sub_diag' 'h4/thm/real/REAL_SUB_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_clearbit_spec_prime'#@#variant 'h4/thm/rat/RAT_DIV_MULMINV_'
0. 'coq/Coq_PArith_Pnat_Nat2Pos_inj_sub' 'h4/thm/integer/INT_DIV_CALCULATE_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_le_mono' 'h4/thm/integer/TINT_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_lcm_l' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_0'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_divide_mono_l' 'h4/thm/real/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sub_add' 'h4/thm/arithmetic/SUB_ADD_'
0. 'coq/Coq_Reals_RIneq_Rlt_le_trans' 'h4/thm/extreal/lte_trans_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_asymm' 'h4/thm/real/REAL_LT_ANTISYM_'
0. 'coq/Coq_PArith_BinPos_Pos_max_l' 'h4/thm/real/REAL_MAX_ALT_e1'
0. 'coq/Coq_Reals_Rtrigo1_PI_neq0' 'h4/thm/toto/cpn_distinct_1'
0. 'coq/Coq_Arith_Compare_dec_nat_compare_lt' 'h4/thm/quote/index_lt_def_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_lt_mono_r' 'h4/thm/real/REAL_LE_SUB_CANCEL2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_factor_l' 'h4/thm/extreal/le_max1_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_inj_wd' 'h4/thm/extreal/eq_neg_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftl_mul_pow2'#@#variant 'h4/thm/extreal/extreal_sub_add_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_divide_xO_xO' 'h4/thm/transc/EXP_MONO_LE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_shuffle3' 'h4/thm/float/REAL_MUL_AC_e2'
0. 'coq/Coq_QArith_Qcanon_Qclt_le_trans' 'h4/thm/real/REAL_LTE_TRANS_'
0. 'coq/Coq_Numbers_Cyclic_DoubleCyclic_DoubleBase_wB_pos'#@#variant 'h4/thm/integer/INT_POS_'#@#variant
0. 'coq/Coq_ZArith_Zeven_Zodd_not_Zeven' 'h4/thm/float/FLOAT_DISTINCT_6'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_le_mono' 'h4/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_opp_succ' 'h4/thm/numRing/num_rewrites_tRRLRRR'
0. 'coq/Coq_ZArith_BinInt_Z_lt_succ_l' 'h4/thm/prim_rec/SUC_LESS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_mul_l' 'h4/thm/divides/DIVIDES_MULT_'
0. 'coq/Coq_Reals_Rminmax_R_min_le_compat_r' 'h4/thm/integer/TINT_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_pow_1_r' 'h4/thm/extreal/sub_rzero_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_succ_r' 'h4/thm/real/REAL_NEG_RMUL_'
0. 'coq/Coq_Structures_OrderedTypeEx_Z_as_OT_lt_not_eq' 'h4/thm/realax/HREAL_LT_NE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_r' 'h4/thm/hrat/TRAT_MUL_WELLDEFINED_'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_minus_one_neq_zero'#@#variant 'h4/thm/toto/all_cpn_distinct_2'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lcm_1_r' 'h4/thm/extreal/sub_rzero_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_compare' 'h4/thm/intto/pos_pos_thm_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_antisymm' 'h4/thm/divides/DIVIDES_ANTISYM_'
0. 'coq/Coq_QArith_Qround_Zdiv_Qdiv' 'h4/thm/hrat/hrat_add_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_pos_pos' 'h4/thm/binary_ieee/le2_'#@#variant
0. 'coq/Coq_Reals_SeqProp_CV_minus' 'h4/thm/seq/SEQ_SUB_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_refl' 'h4/thm/integer/TINT_EQ_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_land_diag' 'h4/thm/real/REAL_MAX_REFL_'
0. 'coq/Coq_QArith_QArith_base_Qle_refl' 'h4/thm/real/REAL_LE_REFL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_opp_r' 'h4/thm/frac/frac_sub_def_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_quot_1_r' 'h4/thm/integer/INT_SUB_RZERO_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_1_r' 'h4/thm/integer/INT_SUB_RZERO_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_succ_diag_r' 'h4/thm/numpair/tri_le_'
0. 'coq/Coq_Sets_Powerset_facts_Empty_set_zero' 'h4/thm/llist/LAPPEND_0'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_nge' 'h4/thm/arithmetic/NOT_LESS_EQUAL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_div_mul' 'h4/thm/real/REAL_DIV_RMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lnot_0_l' 'h4/thm/integer/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_w5_spec' 'h4/thm/integerRing/int_ring_thms_0'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_pred_lt_mono' 'h4/thm/numpair/tri_LT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_nonneg_nonneg' 'h4/thm/realax/TREAL_LT_MUL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_succ_r' 'h4/thm/extreal/mul_rneg_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_mod' 'h4/thm/integer/INT_MOD_PLUS_'#@#variant
0. 'coq/Coq_QArith_Qreduction_Qred_opp' 'h4/thm/complex/CONJ_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_pred' 'h4/thm/numRing/num_rewrites_tLRLRRR'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_divide_mul_r' 'h4/thm/integer/INT_DIVIDES_RMUL_'
0. 'coq/Coq_PArith_BinPos_Pos_succ_pred_double' 'h4/thm/numRing/num_rewrites_tLRLRR'
0. 'coq/Coq_Reals_Rbasic_fun_Rmin_Rgt' 'h4/thm/extreal/max_le_'
0. 'coq/Coq_ZArith_BinInt_Z_ldiff_m1_l'#@#variant 'h4/thm/rat/RAT_SUB_LID_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_lt_mono_neg_r' 'h4/thm/rat/RAT_LES_RMUL_NEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_pos_neg'#@#variant 'h4/thm/extreal/mul_lt_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lcm_1_l' 'h4/thm/HolSmt/r213_'
0. 'coq/Coq_Reals_Rbasic_fun_Rmin_pos' 'h4/thm/realax/TREAL_LT_MUL_'#@#variant
0. 'coq/Coq_Reals_Ratan_atan_opp' 'h4/thm/complex/CONJ_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_l' 'h4/thm/real/REAL_MAX_ALT_e1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_eq_cases' 'h4/thm/integer/INT_LE_LT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_move_r' 'h4/thm/real/REAL_EQ_SUB_LADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_lcm_l' 'h4/thm/integer/INT_DIVIDES_MUL_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_lt_mono_l' 'h4/thm/rat/RAT_LES_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_greatest' 'h4/thm/divides/DIVIDES_ADD_1_'
0. 'coq/Coq_NArith_BinNat_N_mul_1_r' 'h4/thm/integer/INT_SUB_REDUCE_0'
0. 'coq/Coq_QArith_QArith_base_Qle_refl' 'h4/thm/divides/DIVIDES_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_lt_mono_l' 'h4/thm/integer/LT_LADD_'
0. 'coq/Coq_Reals_Rpower_exp_increasing' 'h4/thm/hrat/TRAT_INV_WELLDEFINED_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_succ' 'h4/thm/complex/COMPLEX_OF_REAL_NEG_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_ngt' 'h4/thm/arithmetic/NOT_LESS_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_lt_mono_r' 'h4/thm/arithmetic/LESS_EQ_MONO_ADD_EQ_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_le_mono_r' 'h4/thm/hreal/HRAT_LT_RADD_'
0. 'coq/Coq_Reals_RIneq_Rmult_lt_0_compat' 'h4/thm/realax/TREAL_LT_MUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_neq' 'h4/thm/rat/RAT_LES_IMP_NEQ_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_id' 'h4/thm/real/REAL_MIN_REFL_'
0. 'coq/Coq_ZArith_Zpower_two_power_nat_equiv'#@#variant 'h4/thm/ratRing/rat_ring_thms_e17'#@#variant
0. 'coq/Coq_Reals_RIneq_Rle_refl' 'h4/thm/rat/RAT_LEQ_REF_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_sub_lt' 'h4/thm/arithmetic/LESS_DIV_EQ_ZERO_'
0. 'coq/Coq_Reals_Rtrigo1_PI_neq0' 'h4/thm/prelim/ordering_distinct_e2'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_wB_pos'#@#variant 'h4/thm/extreal/lt_infty_2'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_refl' 'h4/thm/rat/RAT_EQUIV_REF_'
0. 'coq/Coq_NArith_BinNat_N_sqrt_1' 'h4/thm/intExtension/INT_ABS_CALCULATE_0_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_succ' 'h4/thm/numeral/iDUB_removal_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_pos'#@#variant 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mod_1_r'#@#variant 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRL'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_le_mono_r' 'h4/thm/real/REAL_LE_SUB_CANCEL2_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_add_cancel_r' 'h4/thm/poly/POLY_DIVIDES_SUB_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_neq_0_lt_0'#@#variant 'h4/thm/arithmetic/NOT_ZERO_LT_ZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_add_r' 'h4/thm/extreal/le_max1_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_lxor_r' 'h4/thm/rat/RAT_AINV_RMUL_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_pred_l' 'h4/thm/frac/FRAC_AINV_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_0_l' 'h4/thm/arithmetic/ZERO_DIV_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_ones_equiv'#@#variant 'h4/thm/numRing/num_rewrites_tLRLRR'
0. 'coq/Coq_Reals_RIneq_succ_IZR' 'h4/thm/real/REAL_OF_NUM_SUC_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gt_lt_iff' 'h4/thm/arithmetic/GREATER_EQ_'
0. 'coq/Coq_PArith_BinPos_Pos_min_lt_iff' 'h4/thm/arithmetic/MIN_LT_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_le_iff' 'h4/thm/extreal/min_le_'
0. 'coq/Coq_ZArith_Znat_Zabs2Nat_inj_neg' 'h4/thm/rat/rat_sgn_def_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_le_mono' 'h4/thm/integerRing/int_rewrites_tLRRRLRRRR'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_lt_mono' 'h4/thm/numeral/numeral_lte_e6'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_succ' 'h4/thm/numRing/num_rewrites_tRRLRR'
0. 'coq/Coq_Lists_List_length_zero_iff_nil' 'h4/thm/quantHeuristics/LIST_LENGTH_7_99'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_lt_mono_pos_r'#@#variant 'h4/thm/real/REAL_LT_RDIV_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_irrefl' 'h4/thm/prim_rec/LESS_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_simpl_r' 'h4/thm/arithmetic/ADD_SUB_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_xO'#@#variant 'h4/thm/complex/COMPLEX_OF_REAL_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_pos'#@#variant 'h4/thm/numeral/numeral_distrib_33'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_le_iff' 'h4/thm/arithmetic/MIN_LE_0'
0. 'coq/Coq_PArith_BinPos_Pos_add_le_mono_r' 'h4/thm/arithmetic/LESS_MONO_ADD_EQ_'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_iff' 'h4/thm/prelim/ordering_EQ_ordering_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_sgn' 'h4/thm/complex/COMPLEX_OF_REAL_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_nle' 'h4/thm/integer/int_le_'
0. 'coq/Coq_Reals_R_sqrt_sqrt_lt_1_alt' 'h4/thm/bit/LOG2_LE_MONO_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sub_diag' 'h4/thm/real/REAL_SUB_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lor_eq_0_iff' 'h4/thm/arithmetic/ADD_EQ_0_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_of_Qc' 'h4/thm/extreal/extreal_of_num_def_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_lt_mono'#@#variant 'h4/thm/real/REAL_LT_MUL2_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_le_compat_l' 'h4/thm/realax/REAL_LT_IADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_Zpos' 'h4/thm/float/REAL_OF_NUM_LT_'
0. 'coq/Coq_Arith_Minus_minus_plus' 'h4/thm/complex/COMPLEX_ADD_SUB_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_Zpos' 'h4/thm/string/char_ge_def_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_refl' 'h4/thm/extreal/le_refl_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_succ_l' 'h4/thm/complex/COMPLEX_NEG_LMUL_'#@#variant
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_iff' 'h4/thm/complex/COMPLEX_OF_NUM_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_eq_le_incl' 'h4/thm/integer/TINT_EQ_AP_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zsucc_lt_compat' 'h4/thm/numpair/tri_LT_I_'
0. 'coq/Coq_FSets_FSetPositive_PositiveSet_eq_refl' 'h4/thm/integer/INT_LE_REFL_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_incr_twice' 'h4/thm/numeral_bit/NUMERAL_iDIV2_4'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_r' 'h4/thm/integer/TINT_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div_same'#@#variant 'h4/thm/integer/INT_QUOT_ID_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftl_1_l'#@#variant 'h4/thm/rat/RAT_SUB_LID_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_lt_mono_pos_r'#@#variant 'h4/thm/real/REAL_LT_RDIV_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qlt_irrefl' 'h4/thm/hreal/HRAT_LT_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_diag'#@#variant 'h4/thm/arithmetic/TIMES2_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_le_ngt' 'h4/thm/rat/RAT_LEQ_LES_'
0. 'coq/Coq_ZArith_BinInt_Z_clearbit_spec_prime'#@#variant 'h4/thm/real/real_sub_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_of_Q' 'h4/thm/ASCIInumbers/toNum_toString_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sub_opp_r' 'h4/thm/real/real_div_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_pred_l' 'h4/thm/numpair/nfst_le_'
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_le_mono' 'h4/thm/numpair/tri_LT_I_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_lxor_l' 'h4/thm/extreal/mul_lneg_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_1' 'h4/thm/real/REAL_ABS_0_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_succ_r' 'h4/thm/real/REAL_MUL_RNEG_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_lub_lt_iff' 'h4/thm/util_prob/MAX_LE_X_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_total' 'h4/thm/string/string_lt_cases_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_pred'#@#variant 'h4/thm/integer/tint_of_num_e1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_le_mono' 'h4/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_total' 'h4/thm/real/REAL_LT_TOTAL_'
0. 'coq/Coq_ZArith_Zlogarithm_log_inf_correct/1' 'h4/thm/complex/RE_IM_LE_MODU_e1'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_succ_le_mono' 'h4/thm/numeral/numeral_lt_3'
0. 'coq/Coq_ZArith_Zsqrt_compat_Zsqrt_plain_is_pos'#@#variant 'h4/thm/transc/SQRT_POS_LT_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_w2_spec' 'h4/thm/integerRing/int_is_ring_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_nonpos_nonneg'#@#variant 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRL'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_succ_lt_mono' 'h4/thm/integerRing/int_rewrites_tLRRRLRRRR'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_le_mono_l' 'h4/thm/arithmetic/LE_ADD_LCANCEL_'
0. 'coq/Coq_ZArith_Zquot_Z_quot_pos' 'h4/thm/arithmetic/LESS_MULT2_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_0_discr' 'h4/thm/num/ZERO_REP_DEF_'
0. 'coq/Coq_Arith_Factorial_fact_le' 'h4/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_nonneg' 'h4/thm/transc/ATN_0'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_le_iff' 'h4/thm/extreal/le_max_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_gcd_greatest' 'h4/thm/divides/DIVIDES_ADD_1_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_odd_sub' 'h4/thm/float/REAL_OF_NUM_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_glb_iff' 'h4/thm/extreal/le_min_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_greatest' 'h4/thm/divides/DIVIDES_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_inj_wd' 'h4/thm/rat/RAT_EQ_AINV_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div_0_l' 'h4/thm/integer/INT_DIV_0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_nge' 'h4/thm/real/real_lt_'
0. 'coq/Coq_ZArith_BinInt_Z_log2_nonneg' 'h4/thm/integral/LT_0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lxor_eq_0_iff' 'h4/thm/integer/INT_SUB_0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftr_opp_r' 'h4/thm/real/real_div_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_lt_mono_r'#@#variant 'h4/thm/real/REAL_LE_LMUL_IMP_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_iff' 'h4/thm/DeepSyntax/deep_form_11_5'
0. 'coq/Coq_Arith_PeanoNat_Nat_lor_eq_0_iff' 'h4/thm/gcd/GCD_EQ_0_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_le_compat_r' 'h4/thm/integer/TINT_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Reals_RIneq_Ropp_mult_distr_l' 'h4/thm/arithmetic/PRE_SUB_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_alt_dichotomy' 'h4/thm/arithmetic/LESS_EQ_CASES_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_sub_le' 'h4/thm/arithmetic/LESS_DIV_EQ_ZERO_'
0. 'coq/Coq_Reals_RIneq_opp_IZR' 'h4/thm/toto/num_dt_size_def_e2'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_sub_le_add_r' 'h4/thm/rat/RAT_RSUB_LES_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_le_mono_r'#@#variant 'h4/thm/logroot/ROOT_LE_MONO_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_le_compat_r' 'h4/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_1_mul_pos'#@#variant 'h4/thm/extreal/lte_add_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_1_l' 'h4/thm/numeral/numeral_texp_help_0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_max_l' 'h4/thm/realax/HREAL_LT_ADDL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_nge' 'h4/thm/rat/RAT_LES_LEQ_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_sub_lt_add_r' 'h4/thm/extreal/lt_sub_imp_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_succ_inj_wd' 'h4/thm/numeral/numeral_distrib_19'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_of_Q' 'h4/thm/num/num_ISO_DEF_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_1' 'h4/thm/real/REAL_NEG_0_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lcm_eq_0' 'h4/thm/extreal/entire_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_sub_le_add_l' 'h4/thm/arithmetic/SUB_RIGHT_LESS_EQ_'
0. 'coq/Coq_Reals_Rpower_exp_Ropp' 'h4/thm/numeral/numeral_iisuc_1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_eq_cases' 'h4/thm/arithmetic/GREATER_OR_EQ_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_opp_pos' 'h4/thm/util_prob/lg_pow_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_sub' 'h4/thm/real/REAL_ADD_SUB_ALT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_move_r' 'h4/thm/complex/COMPLEX_EQ_SUB_LADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lcm_1_l'#@#variant 'h4/thm/HolSmt/r129_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_even_sub' 'h4/thm/integer/INT_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_lt_mono_neg_r' 'h4/thm/rat/RAT_LES_RMUL_NEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mod_small'#@#variant 'h4/thm/integer/INT_LESS_MOD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_pred_succ' 'h4/thm/transc/ATN_e2'
0. 'coq/Coq_Reals_Rpower_exp_Ropp' 'h4/thm/numeral_bit/numeral_ilog2_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_succ_l' 'h4/thm/prim_rec/SUC_LESS_'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_iff' 'h4/thm/integerRing/int_rewrites_tLRRRRRRRRL'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_pred' 'h4/thm/string/IMPLODE_EXPLODE_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftr_div_pow2'#@#variant 'h4/thm/HolSmt/r131_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_nle_succ_0' 'h4/thm/arithmetic/NOT_SUC_LESS_EQ_0_'
0. 'coq/Coq_PArith_Pnat_Nat2Pos_inj_sub' 'h4/thm/integer/INT_REM_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pred_le_mono' 'h4/thm/prim_rec/LESS_MONO_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_le_mono' 'h4/thm/numeral/numeral_lt_3'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pred_le_mono' 'h4/thm/bit/TWOEXP_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_neq_0_succ' 'h4/thm/bit/TWOEXP_NOT_ZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_le_compat_l' 'h4/thm/real/REAL_LT_IADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_refl' 'h4/thm/arithmetic/LESS_EQ_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lxor_nilpotent' 'h4/thm/real/REAL_SUB_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_pred_r' 'h4/thm/integer/INT_MUL_CALCULATE_2'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftl_1_l'#@#variant 'h4/thm/util_prob/lg_def_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_id' 'h4/thm/arithmetic/MIN_IDEM_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_negb_odd' 'h4/thm/frac/frac_sgn_def_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_le_mono_r' 'h4/thm/integer/INT_LE_RADD_'
0. 'coq/Coq_Reals_RIneq_Rplus_le_compat_r' 'h4/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_iff' 'h4/thm/binary_ieee/float_value_11_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_le_mono_l' 'h4/thm/integer/INT_LE_LADD_'
0. 'coq/Coq_Arith_Lt_nat_total_order' 'h4/thm/integer/INT_LT_TOTAL_'
0. 'coq/Coq_Bool_Bool_negb_false_iff' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Reals_RIneq_opp_IZR' 'h4/thm/DeepSyntax/deep_form_size_def_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_lxor_l' 'h4/thm/integer/INT_MUL_CALCULATE_1'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_irrefl' 'h4/thm/realax/HREAL_LT_REFL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_lt_trans' 'h4/thm/extreal/let_trans_'
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_double'#@#variant 'h4/thm/transc/LN_INV_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_pow_1_r' 'h4/thm/integer/INT_ADD_RID_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sub_1_r'#@#variant 'h4/thm/arithmetic/PRE_SUB1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_le_compat_l' 'h4/thm/realax/TREAL_LT_ADD_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_le_mono' 'h4/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qle_refl' 'h4/thm/poly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_PArith_Pnat_SuccNat2Pos_inj_succ' 'h4/thm/extreal/extreal_inv_def_e2'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ge_le_iff' 'h4/thm/pred_set/COUNT_applied_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_lor' 'h4/thm/transc/EXP_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_nle_gt' 'h4/thm/integer/INT_NOT_LT_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_even' 'h4/thm/ieee/Fraction_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_1_mul_pos'#@#variant 'h4/thm/integer/INT_LTE_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lcm_1_r' 'h4/thm/HolSmt/r223_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_lt_iff' 'h4/thm/extreal/le_max_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_succ_le_mono' 'h4/thm/numeral/numeral_lte_e6'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_1_r' 'h4/thm/integer/INT_ADD_CALCULATE_1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_opp_r' 'h4/thm/complex/COMPLEX_NEG_RMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_trichotomy' 'h4/thm/real/REAL_LT_TOTAL_'
0. 'coq/Coq_NArith_BinNat_N_pow_lt_mono_r' 'h4/thm/extreal/le_lmul_imp_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_1' 'h4/thm/integerRing/int_rewrites_tRRRRRRRRRRRRRL'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_sub_lt_add_r' 'h4/thm/integer/INT_LE_SUB_RADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftr_div_pow2'#@#variant 'h4/thm/complex/complex_div_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_le_mono' 'h4/thm/real/REAL_POS_MONO_'
0. 'coq/Coq_Reals_RIneq_Rgt_ge' 'h4/thm/integer/INT_LT_IMP_LE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_succ_r' 'h4/thm/complex/COMPLEX_MUL_RNEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_1' 'h4/thm/real/REAL_INV_0_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_lt_mono_r'#@#variant 'h4/thm/real/REAL_LT_LMUL_IMP_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_sqrt_2' 'h4/thm/real/REAL_HALF_BETWEEN_e2'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_cancel_l' 'h4/thm/real/REAL_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_succ_r' 'h4/thm/arithmetic/EXP_e1'
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_1' 'h4/thm/intExtension/INT_ABS_CALCULATE_0_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_asymm' 'h4/thm/integer/INT_LT_ANTISYM_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_setbit_spec_prime'#@#variant 'h4/thm/frac/frac_div_def_'
0. 'coq/Coq_QArith_QArith_base_Qeq_refl' 'h4/thm/real/REAL_LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_cancel_r' 'h4/thm/integer/INT_EQ_RADD_'
0. 'coq/Coq_ZArith_BinInt_Z_lnot_lxor_l' 'h4/thm/real/REAL_MUL_LNEG_'
0. 'coq/Coq_PArith_BinPos_Pos_mul_xI_r' 'h4/thm/numeral/numeral_exp_1'
0. 'coq/Coq_NArith_BinNat_N_pow_1_l' 'h4/thm/rat/RAT_MUL_LZERO_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_min_l' 'h4/thm/extreal/min_le1_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_le_max_l' 'h4/thm/hreal/HRAT_LT_ADDL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_add_le_sub_r' 'h4/thm/rat/RAT_RSUB_LES_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mod_same' 'h4/thm/integer/INT_REM_ID_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_PI_neq0' 'h4/thm/ieee/ccode_distinct_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_Even_succ' 'h4/thm/binary_ieee/exp_gt2_'#@#variant
0. 'coq/Coq_MSets_MSetPositive_PositiveSet_E_bits_lt_antirefl' 'h4/thm/hreal/HRAT_LT_REFL_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_power_pos' 'h4/thm/integral/REAL_POW_LE_1_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_glb_lt_iff' 'h4/thm/integral/REAL_LT_MIN_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_nge' 'h4/thm/HolSmt/r115_'
0. 'coq/Coq_ZArith_BinInt_Z_min_id' 'h4/thm/gcd/GCD_REF_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_lt_mono_r' 'h4/thm/real/REAL_LE_SUB_CANCEL2_'
0. 'coq/Coq_ZArith_Zorder_Zplus_lt_compat_l' 'h4/thm/integer/INT_LT_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_pred' 'h4/thm/numRing/num_rewrites_tRRLRRR'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_nge' 'h4/thm/real/real_lt_'
0. 'coq/Coq_ZArith_BinInt_Z_nle_gt' 'h4/thm/integer/int_le_'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_eqk_refl'#@#variant 'h4/thm/sorting/PERM_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_le_mono' 'h4/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_inj_wd' 'h4/thm/numRing/num_rewrites_tLRRRRRRLR'
0. 'coq/Coq_NArith_BinNat_N_div_1_r' 'h4/thm/integer/INT_SUB_REDUCE_0'
0. 'coq/Coq_NArith_BinNat_N_add_nonneg_nonneg' 'h4/thm/integer/INT_LT_MUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_setbit_spec_prime'#@#variant 'h4/thm/HolSmt/r131_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_lt_mono_r' 'h4/thm/real/REAL_LE_LMUL_IMP_'
0. 'coq/Coq_QArith_Qreduction_Qred_comp' 'h4/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_sub' 'h4/thm/real/REAL_ADD_SUB_ALT_'
0. 'coq/Coq_Reals_R_sqr_Rsqr_neg_minus' 'h4/thm/real/ABS_SUB_'
0. 'coq/Coq_Reals_Rbasic_fun_abs_IZR' 'h4/thm/toto/num_dt_size_def_1'#@#variant
0. 'coq/Coq_ZArith_Znat_Zabs2N_inj_pos' 'h4/thm/rat/rat_sgn_def_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_pos_r'#@#variant 'h4/thm/real/REAL_LT_RDIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_1_r' 'h4/thm/integer/INT_MUL_RZERO_'
0. 'coq/Coq_QArith_QArith_base_Qeq_refl' 'h4/thm/divides/DIVIDES_REFL_'
0. 'coq/Coq_ZArith_Znat_positive_N_Z' 'h4/thm/realax/real_of_hreal_'#@#variant
0. 'coq/Coq_Reals_R_sqrt_sqrt_le_1_alt' 'h4/thm/numpair/tri_LT_I_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lnot_ones' 'h4/thm/rat/RAT_ADD_LINV_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigN_BigZ_spec_Z_of_N' 'h4/thm/realax/real_of_hreal_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_shiftl_mul_pow2'#@#variant 'h4/thm/HolSmt/r131_'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_id' 'h4/thm/string_num/s2n_n2s_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_irrefl' 'h4/thm/prim_rec/LESS_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_lt_mono_r_iff'#@#variant 'h4/thm/arithmetic/EXP_BASE_LT_MONO_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_lt_1_2' 'h4/thm/extreal/lt_infty_2'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_compare_succ_succ' 'h4/thm/toto/num_dtOrd_7'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_cancel_l' 'h4/thm/hreal/HRAT_EQ_LADD_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_gt' 'h4/thm/real/REAL_OF_NUM_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mod_mul' 'h4/thm/integer/INT_REM_COMMON_FACTOR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_1_r' 'h4/thm/rat/RAT_ADD_RID_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_lt_mono_l' 'h4/thm/arithmetic/ADD_MONO_LESS_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_eq_0_gt_0_cases' 'h4/thm/arithmetic/LESS_0_CASES_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_lt_mono_pos_l'#@#variant 'h4/thm/int_arith/lt_justify_multiplication_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qplus_le_l' 'h4/thm/integer/INT_LE_RADD_'
0. 'coq/Coq_QArith_QArith_base_Qinv_le_0_compat'#@#variant 'h4/thm/extreal/le_inv_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_nonneg' 'h4/thm/arithmetic/FACT_LESS_'
0. 'coq/Coq_ZArith_Znat_Zabs2N_id_abs' 'h4/thm/complex/MODU_REAL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_1_l' 'h4/thm/integer/INT_SUB_LZERO_'
0. 'coq/Coq_Reals_Ratan_Alt_PI_eq' 'h4/thm/numeral/numeral_distrib_13'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_lt_cancel' 'h4/thm/arithmetic/LESS_MONO_REV_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_divide_mono_l' 'h4/thm/realax/REAL_LT_IADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_divide_iff' 'h4/thm/arithmetic/MIN_LE_e1'
0. 'coq/Coq_ZArith_BinInt_Z_mul_le_mono_pos_l'#@#variant 'h4/thm/rat/RAT_LES_LMUL_POS_'#@#variant
0. 'coq/Coq_Reals_ROrderedType_ROrder_le_lt_trans' 'h4/thm/rat/RAT_LEQ_LES_TRANS_'
0. 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_ge_le_iff' 'h4/thm/integer/int_ge_'
0. 'coq/Coq_Reals_ROrderedType_ROrder_lt_irrefl' 'h4/thm/integer/INT_LT_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_le_mono' 'h4/thm/prim_rec/LESS_MONO_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_rem_1_r'#@#variant 'h4/thm/arithmetic/MOD_ONE_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_inj_wd' 'h4/thm/numeral/numeral_eq_e7'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_succ_le_mono' 'h4/thm/transc/EXP_MONO_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_neq' 'h4/thm/integer/INT_LT_IMP_NE_'
0. 'coq/Coq_QArith_QArith_base_Qle_refl' 'h4/thm/rat/RAT_EQUIV_REF_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_max_distr_l' 'h4/thm/transc/RPOW_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_nlt' 'h4/thm/extreal/extreal_lt_def_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_clearbit_spec_prime'#@#variant 'h4/thm/rat/RAT_DIV_MULMINV_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_succ_l' 'h4/thm/real/REAL_MUL_LNEG_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lcm_diag' 'h4/thm/gcd/GCD_REF_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_nge' 'h4/thm/real/REAL_NOT_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_succ_diag_r' 'h4/thm/numpair/tri_le_'
0. 'coq/Coq_Reals_Rtrigo_calc_sin_lb_ge_0'#@#variant 'h4/thm/transc/COS_POS_PI2_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_le_iff' 'h4/thm/real/REAL_MIN_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sub_succ' 'h4/thm/integer/INT_NEG_MUL2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_lt_mono' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_NArith_BinNat_N_le_max_l' 'h4/thm/extreal/le_max1_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_le_compat_r' 'h4/thm/integer/TINT_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_gt' 'h4/thm/float/REAL_OF_NUM_LT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_null_iff' 'h4/thm/real/REAL_INV_EQ_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_0_r' 'h4/thm/integer/INT_DIVIDES_0_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_inj_wd' 'h4/thm/numRing/num_rewrites_tRRRRRRRLR'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_le_mono_l' 'h4/thm/real/REAL_LT_LADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_pos_pos' 'h4/thm/realax/TREAL_LT_MUL_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lor_eq_0_iff' 'h4/thm/arithmetic/MULT_EQ_1_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_succ_r' 'h4/thm/integer/INT_MUL_CALCULATE_2'
0. 'coq/Coq_NArith_BinNat_N_log2_pos'#@#variant 'h4/thm/transc/LN_POS_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_mul_xO_r' 'h4/thm/integer/INT_MUL_CALCULATE_2'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_neq_0_succ' 'h4/thm/toto/num_dt_distinct_1'
0. 'coq/Coq_ZArith_Zquot_Zquot_opp_r' 'h4/thm/arithmetic/ADD_CLAUSES_e3'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftr_opp_r' 'h4/thm/rat/RAT_DIV_MULMINV_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_cancel_r' 'h4/thm/arithmetic/LESS_MONO_ADD_EQ_'
0. 'coq/Coq_PArith_BinPos_Pplus_one_succ_l' 'h4/thm/HolSmt/r128_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_total' 'h4/thm/integer/INT_LT_TOTAL_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_mul_1_l' 'h4/thm/realax/TREAL_MUL_LID_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rle_not_lt' 'h4/thm/arithmetic/LESS_EQ_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_lt_mono_r_iff'#@#variant 'h4/thm/logroot/LE_EXP_ISO_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_opp_inj_wd' 'h4/thm/numeral/numeral_distrib_19'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ldiff_land' 'h4/thm/HolSmt/r131_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_irrefl' 'h4/thm/real/REAL_LT_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_le_compat_r' 'h4/thm/extreal/le_radd_imp_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mod_1_r'#@#variant 'h4/thm/util_prob/logr_1_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lcm_eq_0' 'h4/thm/real/REAL_ENTIRE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_divide_mono_r' 'h4/thm/hrat/TRAT_ADD_WELLDEFINED_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_pow' 'h4/thm/arithmetic/ADD_e1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_le_trans' 'h4/thm/rat/RAT_LES_LEQ_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_le_compat_l' 'h4/thm/realax/REAL_LT_IADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_inj_wd' 'h4/thm/extreal/eq_neg_'
0. 'coq/Coq_Arith_Plus_plus_lt_compat_r' 'h4/thm/arithmetic/LESS_MONO_ADD_'
0. 'coq/Coq_QArith_QArith_base_Qmult_lt_l'#@#variant 'h4/thm/arithmetic/EXP_BASE_LE_MONO_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_neg_xO'#@#variant 'h4/thm/DeepSyntax/deep_form_size_def_2'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_lt_mono_pos_l'#@#variant 'h4/thm/int_arith/lt_justify_multiplication_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_sub_max_distr_l' 'h4/thm/transc/RPOW_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_add_distr' 'h4/thm/arithmetic/SUB_PLUS_'
0. 'coq/Coq_Bool_Bool_diff_false_true' 'h4/thm/toto/all_cpn_distinct_tLL'
0. 'coq/Coq_Structures_OrdersEx_PositiveOrderedTypeBits_bits_lt_antirefl' 'h4/thm/prim_rec/LESS_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_lcm_1_l'#@#variant 'h4/thm/extreal/sub_lzero_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_le_mono' 'h4/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_1_l'#@#variant 'h4/thm/extreal/le_infty_tLL'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_mod' 'h4/thm/integer/INT_MOD_PLUS_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rmult_eq_reg_l' 'h4/thm/integer/INT_EQ_LMUL_IMP_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_le_ngt' 'h4/thm/real/real_lte_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_pos_neg'#@#variant 'h4/thm/real/REAL_NEG_GT0_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Zpos_eq_iff' 'h4/thm/complex/COMPLEX_OF_REAL_EQ_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_succ_pos_pred' 'h4/thm/integerRing/int_ring_thms_e17'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_lub' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_e2'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_neq_succ_0' 'h4/thm/intto/BIT1_nz_'
0. 'coq/Coq_Bool_Bool_negb_involutive' 'h4/thm/real/REAL_INV_INV_'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_le_mono' 'h4/thm/real/REAL_POS_MONO_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_1_r'#@#variant 'h4/thm/arithmetic/PRE_SUB1_'#@#variant
0. 'coq/Coq_ZArith_Znat_Zabs2Nat_id' 'h4/thm/toto/cpn_BIJ_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_max_r' 'h4/thm/real/REAL_LE_MAX2_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_ge' 'h4/thm/real/REAL_OF_NUM_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_le_mono' 'h4/thm/numeral/numeral_distrib_28'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_divide_mono_l' 'h4/thm/extreal/le_ladd_imp_'
0. 'coq/Coq_Reals_RIneq_Rgt_or_ge' 'h4/thm/arithmetic/LESS_CASES_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_pos_neg'#@#variant 'h4/thm/extreal/mul_lt_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_involutive' 'h4/thm/extreal/neg_neg_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_add_r' 'h4/thm/divides/DIVIDES_ADD_1_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_of_Q' 'h4/thm/prelim/num2ordering_ordering2num_'
0. 'coq/Coq_NArith_BinNat_N_div2_succ_double' 'h4/thm/numRing/num_rewrites_tLLRRRR'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_divide_mono_l' 'h4/thm/integer/TINT_LT_ADD_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_succ_r' 'h4/thm/arithmetic/EXP_e1'
0. 'coq/Coq_QArith_Qminmax_Q_max_le_compat_l' 'h4/thm/realax/TREAL_LT_ADD_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_max_lt_iff' 'h4/thm/arithmetic/MAX_LT_0'
0. 'coq/Coq_Reals_Raxioms_R1_neq_R0' 'h4/thm/toto/all_cpn_distinct_2'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_nle_gt' 'h4/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_PArith_BinPos_Pos_le_max_l' 'h4/thm/realax/HREAL_LT_ADDL_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_opp_opp' 'h4/thm/integer/INT_NEG_MUL2_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_1_r' 'h4/thm/HolSmt/r127_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_gt_cases' 'h4/thm/arithmetic/LESS_CASES_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_ge_le_iff' 'h4/thm/pred_set/COUNT_applied_'
0. 'coq/Coq_NArith_BinNat_N_log2_up_le_mono' 'h4/thm/integer/TINT_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_succ_r' 'h4/thm/arithmetic/ADD_SUC_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_le_incl' 'h4/thm/arithmetic/LESS_IMP_LESS_OR_EQ_'
0. 'coq/Coq_ZArith_BinInt_Z_testbit_even_0'#@#variant 'h4/thm/toto/qk_numeralOrd_4'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_ngt' 'h4/thm/integer/INT_NOT_LE_'
0. 'coq/Coq_ZArith_Zorder_Zsucc_gt_compat' 'h4/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Numbers_Cyclic_DoubleCyclic_DoubleBase_wB_pos'#@#variant 'h4/thm/realax/REAL_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_pos'#@#variant 'h4/thm/numeral/numeral_distrib_32'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_nle_succ_0' 'h4/thm/integer/INT_ABS_LT0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_l' 'h4/thm/realax/REAL_LT_IADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_le_mono_r_iff'#@#variant 'h4/thm/int_arith/lt_justify_multiplication_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_gt' 'h4/thm/string/char_gt_def_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_divide_refl' 'h4/thm/rat/RAT_EQUIV_REF_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_double_spec'#@#variant 'h4/thm/integer/INT_NEG_MINUS1_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_abs_0_iff' 'h4/thm/integer/INT_QUOT_CALCULATE_3'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_ge' 'h4/thm/float/REAL_OF_NUM_LT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_inj_wd' 'h4/thm/numeral/numeral_eq_6'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_of_Qc' 'h4/thm/realax/real_of_hreal_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_quot_le_mono'#@#variant 'h4/thm/real/REAL_LT_RMUL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_0_sub'#@#variant 'h4/thm/arithmetic/SUB_LESS_0_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_compare_xO_xO' 'h4/thm/toto/numeralOrd_5'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_le_max_r' 'h4/thm/hreal/HRAT_LT_ADDR_'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_succ' 'h4/thm/complex/COMPLEX_OF_REAL_NEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_add_r' 'h4/thm/realax/HREAL_LT_ADDL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_succ_diag_r' 'h4/thm/numpair/tri_le_'
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_pos_l'#@#variant 'h4/thm/transc/RPOW_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div_1_r' 'h4/thm/integer/INT_ADD_CALCULATE_1'
0. 'coq/Coq_ZArith_BinInt_Z_sub_cancel_l' 'h4/thm/hreal/HRAT_EQ_LMUL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_div2' 'h4/thm/extreal/extreal_ainv_def_e2'
0. 'coq/Coq_PArith_BinPos_Pos_add_lt_mono_r' 'h4/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_ZArith_BinInt_Z_min_glb_iff' 'h4/thm/arithmetic/MIN_LE_e1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_le_mono_r' 'h4/thm/arithmetic/LESS_MONO_ADD_EQ_'
0. 'coq/Coq_QArith_QArith_base_Qplus_lt_r' 'h4/thm/arithmetic/LE_ADD_LCANCEL_'
0. 'coq/Coq_Arith_Gt_gt_n_S' 'h4/thm/numpair/tri_LT_I_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_xO'#@#variant 'h4/thm/toto/num_dt_size_def_e2'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rle_abs' 'h4/thm/real/ABS_LE_'
0. 'coq/Coq_PArith_BinPos_Pos_lt_irrefl' 'h4/thm/rat/RAT_LES_REF_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_lt_mono' 'h4/thm/numeral/numeral_lte_e6'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_le_mono_r' 'h4/thm/arithmetic/LE_ADD_RCANCEL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_lt_mono_r' 'h4/thm/integer/INT_LT_RADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_Even_succ' 'h4/thm/binary_ieee/exp_gt2_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_mod' 'h4/thm/integer/INT_MOD_PLUS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_sub_le_add_r' 'h4/thm/integer/INT_LE_SUB_RADD_'
0. 'coq/Coq_PArith_BinPos_Pos_square_spec' 'h4/thm/numeral/iSQR_'
0. 'coq/Coq_PArith_Pnat_SuccNat2Pos_inj_iff' 'h4/thm/string/CHAR_EQ_THM_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_pred' 'h4/thm/string/EXPLODE_IMPLODE_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_negb_even' 'h4/thm/numRing/num_ring_thms_e17'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lnot_ones' 'h4/thm/hrat/HRAT_MUL_LINV_'
0. 'coq/Coq_ZArith_Znat_Z_N_nat' 'h4/thm/ieee/Sign_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_add_le_sub_r' 'h4/thm/arithmetic/SUB_LEFT_GREATER_EQ_'
0. 'coq/Coq_PArith_Pnat_SuccNat2Pos_inj_succ' 'h4/thm/toto/num_dt_size_def_1'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zeq_plus_swap' 'h4/thm/integer/INT_EQ_SUB_LADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_inj_wd' 'h4/thm/complex/CONJ_EQ2_'#@#variant
0. 'coq/__constr_Coq_Arith_Even_even_0_2' 'h4/thm/transc/EXP_LT_1_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_le_mono_r' 'h4/thm/hreal/HRAT_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_land_diag' 'h4/thm/gcd/GCD_REF_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_lt_trans' 'h4/thm/extreal/let_trans_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_succ_not_1' 'h4/thm/bit/TWOEXP_NOT_ZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_lt' 'h4/thm/integer/INT_ABS_LE_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lcm_1_r'#@#variant 'h4/thm/arithmetic/DIV2_def_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_le_mono' 'h4/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_le_lt_iff' 'h4/thm/rat/RAT_LEQ_LES_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_gcd_greatest' 'h4/thm/divides/DIVIDES_SUB_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_id' 'h4/thm/toto/num2cpn_cpn2num_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gt_lt_iff' 'h4/thm/pred_set/COUNT_applied_'
0. 'coq/Coq_Arith_Minus_pred_of_minus'#@#variant 'h4/thm/arithmetic/DIV2_def_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_RRle_abs' 'h4/thm/real/ABS_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftr_div_pow2'#@#variant 'h4/thm/extreal/sub_rneg_'
0. 'coq/Coq_NArith_BinNat_N_le_pred_l' 'h4/thm/numpair/nsnd_le_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_le_mono' 'h4/thm/hrat/TRAT_INV_WELLDEFINED_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sub_lt_mono_r' 'h4/thm/hreal/HRAT_LT_RADD_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_of_Qc' 'h4/thm/toto/num2cpn_cpn2num_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_1_l'#@#variant 'h4/thm/extreal/sub_lzero_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_add_assoc' 'h4/thm/hrat/TRAT_MUL_ASSOC_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_quot_pos'#@#variant 'h4/thm/arithmetic/ONE_LT_MULT_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_max_l' 'h4/thm/arithmetic/LESS_EQ_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_1_l'#@#variant 'h4/thm/HolSmt/r128_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_r' 'h4/thm/hrat/TRAT_ADD_WELLDEFINED_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_le_compat_r' 'h4/thm/integer/TINT_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_lt_mono_pos_r'#@#variant 'h4/thm/intExtension/INT_GT_RMUL_EXP_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_pos' 'h4/thm/transc/ATN_BOUNDS_0'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_ngt' 'h4/thm/integer/INT_NOT_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_0_r_nonneg'#@#variant 'h4/thm/transc/RPOW_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_setbit_spec_prime'#@#variant 'h4/thm/integer/int_sub_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_cancel_r' 'h4/thm/complex/COMPLEX_EQ_RADD_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_le_ngt' 'h4/thm/extreal/extreal_lt_def_'
0. 'coq/Coq_ZArith_BinInt_Z_add_1_l' 'h4/thm/integer/INT_SUB_LZERO_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_glb_iff' 'h4/thm/extreal/le_min_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_asymm' 'h4/thm/real/REAL_LT_GT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div_1_r' 'h4/thm/rat/RAT_ADD_RID_'
0. 'coq/Coq_QArith_Qpower_Qpower_pos_positive'#@#variant 'h4/thm/integral/REAL_POW_LE_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_shuffle3' 'h4/thm/HolSmt/r220_'
0. 'coq/Coq_ZArith_BinInt_Z_min_glb_iff' 'h4/thm/extreal/le_min_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_inj_wd' 'h4/thm/integer/INT_EQ_NEG_'
0. 'coq/Coq_ZArith_BinInt_Z_le_sub_le_add_r' 'h4/thm/arithmetic/SUB_LEFT_LESS_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_le_mono_l' 'h4/thm/arithmetic/ADD_MONO_LESS_EQ_'
0. 'coq/Coq_ZArith_BinInt_Z_nlt_ge' 'h4/thm/integer/INT_NOT_LT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_quot_same'#@#variant 'h4/thm/integer/INT_QUOT_ID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftr_div_pow2'#@#variant 'h4/thm/complex/COMPLEX_SUB_RNEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_le_mono_l' 'h4/thm/arithmetic/LE_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_succ_lt_mono' 'h4/thm/numpair/tri_LE_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_ge' 'h4/thm/string/char_gt_def_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_2' 'h4/thm/real/REAL_HALF_BETWEEN_e2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_negb_odd' 'h4/thm/frac/frac_sgn_def_'
0. 'coq/Coq_ZArith_Znat_Z2N_inj_neg' 'h4/thm/DeepSyntax/deep_form_size_def_4'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_div_0_l' 'h4/thm/integer/INT_QUOT_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_add_lt_sub_r' 'h4/thm/real/REAL_LE_SUB_RADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_neq_mul_0' 'h4/thm/rat/RAT_NO_ZERODIV_NEG_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pred_le_mono' 'h4/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_le_incl' 'h4/thm/extreal/lt_imp_le_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_1' 'h4/thm/real/REAL_HALF_BETWEEN_e2'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_land' 'h4/thm/transc/EXP_ADD_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_le_min_l' 'h4/thm/extreal/min_le1_'
0. 'coq/Coq_Arith_Gt_gt_n_S' 'h4/thm/prim_rec/LESS_MONO_'
0. 'coq/Coq_Reals_RIneq_Rplus_le_compat_r' 'h4/thm/hrat/TRAT_ADD_WELLDEFINED_'#@#variant
0. 'coq/Coq_Strings_Ascii_ascii_nat_embedding' 'h4/thm/ASCIInumbers/toString_toNum_cancel_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qeq_refl' 'h4/thm/rat/RAT_EQUIV_REF_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_succ_inj_wd' 'h4/thm/numeral/numeral_distrib_19'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_0_r' 'h4/thm/arithmetic/LESS_EQ_0_'
0. 'coq/Coq_QArith_QOrderedType_QOrder_lt_irrefl' 'h4/thm/realax/TREAL_LT_REFL_'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qcopp_involutive' 'h4/thm/integer/INT_MUL_CALCULATE_e3'
0. 'coq/Coq_ZArith_BinInt_Z_le_0_sub'#@#variant 'h4/thm/rat/RAT_LES_0SUB_'#@#variant
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_gempty' 'h4/thm/llist/LNTH_THM_0'
0. 'coq/Coq_NArith_BinNat_N_shiftl_1_l'#@#variant 'h4/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_ZArith_Zquot_Zrem_opp_l' 'h4/thm/frac/FRAC_AINV_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_le_compat_r' 'h4/thm/arithmetic/LESS_MONO_MULT_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_id' 'h4/thm/gcd/GCD_REF_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_move_0_r' 'h4/thm/integer/INT_SUB_0_'#@#variant
0. 'coq/Coq_Reals_Raxioms_Rplus_lt_compat_l' 'h4/thm/real/REAL_LE_LADD_IMP_'
0. 'coq/Coq_ZArith_Znat_nat_N_Z' 'h4/thm/rat/rat_dnm_def_'
0. 'coq/Coq_ZArith_Zeven_Zeven_odd_bool' 'h4/thm/integerRing/int_ring_thms_e17'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftr_opp_r' 'h4/thm/frac/frac_sub_def_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_inj_wd' 'h4/thm/integer/INT_EQ_CALCULATE_1'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftr_div_pow2'#@#variant 'h4/thm/frac/frac_div_def_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_nle_gt' 'h4/thm/arithmetic/NOT_LESS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftr_div_pow2'#@#variant 'h4/thm/rat/RAT_DIV_MULMINV_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_lt_mono_l' 'h4/thm/arithmetic/LE_ADD_LCANCEL_'
0. 'coq/Coq_ZArith_BinInt_Z_rem_opp_l_prime' 'h4/thm/arithmetic/ADD_CLAUSES_2'
0. 'coq/Coq_Reals_R_sqrt_sqrt_lt_1_alt'#@#variant 'h4/thm/bit/LOG2_LE_MONO_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_ldiff_diag' 'h4/thm/integer/INT_SUB_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_le' 'h4/thm/integer/INT_ABS_LE_0'
0. 'coq/Coq_Reals_RIneq_Rmult_le_compat_l'#@#variant 'h4/thm/real/REAL_LE_LMUL_IMP_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lt_add_lt_sub_r' 'h4/thm/real/REAL_LE_SUB_RADD_'
0. 'coq/Coq_QArith_Qminmax_Q_min_le_iff' 'h4/thm/arithmetic/MIN_LE_0'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_le_incl' 'h4/thm/rat/RAT_LES_IMP_LEQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftr_shiftr' 'h4/thm/frac/FRAC_SUB_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_null_iff' 'h4/thm/numpair/tri_eq_0_0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_wf_0' 'h4/thm/toto/StrongLinearOrder_LESS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_add_lt_sub_r' 'h4/thm/integer/INT_LT_SUB_LADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_opp_r' 'h4/thm/integer/INT_MUL_CALCULATE_2'
0. 'coq/Coq_NArith_BinNat_N_ldiff_ldiff_l' 'h4/thm/arithmetic/SUB_PLUS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_setbit_spec_prime'#@#variant 'h4/thm/real/REAL_SUB_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_divide_xO_xO' 'h4/thm/arithmetic/LESS_MONO_EQ_'
0. 'coq/Coq_PArith_BinPos_Pos_lt_irrefl' 'h4/thm/realax/TREAL_LT_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftl_1_l'#@#variant 'h4/thm/HolSmt/r128_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_double_mul' 'h4/thm/integer/INT_MUL_CALCULATE_1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftr_opp_r' 'h4/thm/integer/INT_SUB_CALCULATE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_testbit_even_0'#@#variant 'h4/thm/toto/numeralOrd_4'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_neg_pos'#@#variant 'h4/thm/real/REAL_NEG_LE0_'#@#variant
0. 'coq/Coq_Init_Peano_eq_add_S' 'h4/thm/divides/PRIMES_11_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lor_diag' 'h4/thm/arithmetic/MAX_IDEM_'
0. 'coq/Coq_Arith_Compare_dec_nat_compare_gt' 'h4/thm/quote/index_lt_def_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_nle_gt' 'h4/thm/integer/INT_NOT_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_le_mono' 'h4/thm/integer/TINT_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lcm_1_r' 'h4/thm/rat/RAT_SUB_RID_'
0. 'coq/Coq_ZArith_BinInt_Z_add_opp_r' 'h4/thm/frac/frac_div_def_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_succ_le_mono' 'h4/thm/transc/EXP_MONO_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_factor_l' 'h4/thm/real/REAL_LE_MAX1_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_pred' 'h4/thm/numeral_bit/numeral_ilog2_e2'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_of_Z' 'h4/thm/ieee/ccode_BIJ_0'
0. 'coq/Coq_ZArith_BinInt_Z_pow_0_l_prime' 'h4/thm/integer/INT_REM0_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_double_mul' 'h4/thm/arithmetic/PRE_SUB_'
0. 'coq/Coq_ZArith_BinInt_Z_eq_opp_r' 'h4/thm/complex/CONJ_EQ_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_opp_r' 'h4/thm/complex/COMPLEX_MUL_RNEG_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_min_lt_iff' 'h4/thm/arithmetic/MIN_LT_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_neg_iff'#@#variant 'h4/thm/intExtension/INT_SGN_CLAUSES_0'#@#variant
0. 'coq/Coq_Bool_Bool_diff_true_false' 'h4/thm/prelim/ordering_distinct_e2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_lt_mono_pos_l'#@#variant 'h4/thm/logroot/LT_EXP_ISO_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zsucc_le_compat' 'h4/thm/integer/TINT_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_log2' 'h4/thm/complex/COMPLEX_OF_REAL_INV_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_succ' 'h4/thm/transc/ATN_TAN_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lxor_lnot_lnot' 'h4/thm/arithmetic/ABS_DIFF_ADD_SAME_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_pos_r'#@#variant 'h4/thm/logroot/EXP_LE_ISO_'#@#variant
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_succ' 'h4/thm/extreal/extreal_exp_def_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_le_mono' 'h4/thm/hrat/TRAT_INV_WELLDEFINED_'#@#variant
0. 'coq/Coq_Strings_Ascii_ascii_N_embedding' 'h4/thm/ASCIInumbers/toNum_toString_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_le_mono_r' 'h4/thm/integer/INT_LE_RADD_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_lt' 'h4/thm/string/char_lt_def_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_id' 'h4/thm/arithmetic/MAX_IDEM_'
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_nonneg'#@#variant 'h4/thm/real/REAL_LT_MUL2_'#@#variant
0. 'coq/Coq_QArith_Qabs_Qabs_wd' 'h4/thm/divides/LT_PRIMES_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_nlt' 'h4/thm/HolSmt/r115_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_lt_mono_r_iff'#@#variant 'h4/thm/real/REAL_LT_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_opp_r' 'h4/thm/extreal/sub_rneg_'
0. 'coq/Coq_Arith_PeanoNat_Nat_nlt_ge' 'h4/thm/integer/INT_NOT_LE_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_of_Qc' 'h4/thm/frac/frac_bij_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_nonneg' 'h4/thm/integral/LT_0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_le_lt_mono' 'h4/thm/real/REAL_LET_ADD2_'
0. 'coq/Coq_Reals_RIneq_cond_nonneg'#@#variant 'h4/thm/real/REAL_POS_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_eq_0' 'h4/thm/arithmetic/MULT_EQ_0_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_succ_diag_r' 'h4/thm/prim_rec/LESS_SUC_SUC_0'
0. 'coq/Coq_QArith_Qcanon_Q_apart_0_1'#@#variant 'h4/thm/binary_ieee/rounding_distinct_3'
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_left1' 'h4/thm/intExtension/INT_ABS_CALCULATE_NEG_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_le_incl' 'h4/thm/rat/RAT_LES_IMP_LEQ_'
0. 'coq/Coq_NArith_BinNat_N_pow_mul_r' 'h4/thm/arithmetic/SUB_RIGHT_SUB_'
0. 'coq/Coq_Arith_PeanoNat_Nat_neq_0_lt_0'#@#variant 'h4/thm/arithmetic/NOT_ZERO_LT_ZERO_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_succ_lt_mono' 'h4/thm/numeral/numeral_distrib_22'
0. 'coq/Coq_ZArith_Znat_Z_N_nat' 'h4/thm/complex/complex_of_num_'#@#variant
0. 'coq/Coq_fourier_Fourier_util_Rfourier_le' 'h4/thm/logroot/ROOT_LE_MONO_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_Zpos' 'h4/thm/realax/REAL_ISO_EQ_'
0. 'coq/Coq_Sets_Uniset_incl_right' 'h4/thm/rich_list/IS_PREFIX_IS_SUBLIST_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_sub_lt_add_r' 'h4/thm/integer/INT_LE_SUB_LADD_'
0. 'coq/Coq_ZArith_BinInt_Z_eq_opp_l' 'h4/thm/complex/CONJ_EQ_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_le_mono_l' 'h4/thm/arithmetic/LT_ADD_LCANCEL_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_pos'#@#variant 'h4/thm/real/REAL_LE_INV_EQ_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qplus_lt_r' 'h4/thm/hreal/HRAT_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_lt_mono_r' 'h4/thm/hreal/HRAT_LT_RMUL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_wf_0'#@#variant 'h4/thm/prim_rec/WF_LESS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_rem_0_l' 'h4/thm/integer/INT_MOD0_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pow_le_mono_l' 'h4/thm/integer/TINT_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_neq_0_lt_0' 'h4/thm/extreal/lt_infty_e6'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_iff' 'h4/thm/ieee/roundmode2num_11_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_compare_succ_succ' 'h4/thm/toto/numeralOrd_5'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_gt_cases' 'h4/thm/integer/INT_LTE_TOTAL_'
0. 'coq/Coq_ZArith_BinInt_Zpos_eq_iff' 'h4/thm/binary_ieee/float_value_11_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_eq_1'#@#variant 'h4/thm/arithmetic/MULT_EQ_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftl_opp_r' 'h4/thm/rat/RAT_SUB_ADDAINV_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ldiff_land' 'h4/thm/frac/frac_div_def_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_diag' 'h4/thm/arithmetic/SUB_EQUAL_0_'
0. 'coq/Coq_QArith_Qcanon_Qcnot_lt_le' 'h4/thm/arithmetic/LESS_CASES_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_succ_r' 'h4/thm/integer/INT_NEG_RMUL_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_red' 'h4/thm/toto/num_dt_size_def_1'#@#variant
0. 'coq/Coq_Numbers_Cyclic_ZModulo_ZModulo_spec_more_than_1_digit'#@#variant 'h4/thm/integer/INT_NZ_IMP_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lnot_ones' 'h4/thm/hreal/HREAL_MUL_LINV_'
0. 'coq/Coq_Strings_Ascii_ascii_N_embedding' 'h4/thm/complex/RE_COMPLEX_OF_REAL_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_eq_add_0' 'h4/thm/arithmetic/MULT_EQ_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_lor' 'h4/thm/complex/COMPLEX_EXP_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_lt_iff' 'h4/thm/extreal/le_max_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_rem_0_l' 'h4/thm/integer/INT_MOD0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div2_nonneg'#@#variant 'h4/thm/numeral/numeral_distrib_32'
0. 'coq/Coq_QArith_QOrderedType_QOrder_eq_refl' 'h4/thm/realax/TREAL_EQ_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_refl' 'h4/thm/realax/TREAL_EQ_REFL_'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_lt' 'h4/thm/extreal/extreal_lt_eq_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_double'#@#variant 'h4/thm/transc/LN_INV_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_0_l' 'h4/thm/integer/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_pos_nonneg'#@#variant 'h4/thm/arithmetic/ONE_LT_MULT_IMP_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftr_opp_r' 'h4/thm/complex/COMPLEX_SUB_RNEG_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rnot_lt_ge' 'h4/thm/HolSmt/t015_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_diag' 'h4/thm/extreal/min_refl_'
0. 'coq/Coq_NArith_BinNat_N_gcd_1_l' 'h4/thm/integer/INT_MUL_REDUCE_1'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_compare_succ_succ' 'h4/thm/toto/num_dtOrd_e8'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_1_l'#@#variant 'h4/thm/integral/LE_0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lcm_diag' 'h4/thm/arithmetic/MAX_IDEM_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sub_0_le' 'h4/thm/arithmetic/SUB_EQ_0_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_inj_wd' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Bool_Bool_diff_false_true' 'h4/thm/toto/all_cpn_distinct_1'
0. 'coq/Coq_Reals_RIneq_Rmult_le_compat_l'#@#variant 'h4/thm/extreal/le_lmul_imp_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_asymm' 'h4/thm/hreal/HRAT_LT_GT_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_pos_r'#@#variant 'h4/thm/logroot/EXP_LT_ISO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_lcm_eq_r' 'h4/thm/real/REAL_MAX_ALT_0'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_irrefl' 'h4/thm/hreal/HRAT_LT_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_add_pos_r'#@#variant 'h4/thm/arithmetic/X_LE_X_EXP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_pred_l' 'h4/thm/rat/RAT_AINV_LMUL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_ge_le_iff' 'h4/thm/HolSmt/r103_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_0_l' 'h4/thm/extreal/sub_lzero_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_ngt' 'h4/thm/real/real_lt_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_gt_cases' 'h4/thm/integer/INT_LET_TOTAL_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_le' 'h4/thm/string/char_lt_def_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_le_iff' 'h4/thm/extreal/min_le_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_succ_le_mono' 'h4/thm/numeral/numeral_distrib_28'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_pos'#@#variant 'h4/thm/transc/LN_POS_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_log2_lt_cancel' 'h4/thm/arithmetic/LESS_MONO_REV_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_setbit_spec_prime'#@#variant 'h4/thm/extreal/sub_rneg_'
0. 'coq/Coq_ZArith_BinInt_Z_add_lt_mono_r' 'h4/thm/arithmetic/LT_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_leb_le' 'h4/thm/quote/index_lt_def_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_min_r' 'h4/thm/real/REAL_MIN_LE2_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_lt_mono_r' 'h4/thm/arithmetic/LESS_MONO_ADD_EQ_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_lt_mono' 'h4/thm/integerRing/int_rewrites_tLRRRLRRRR'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_ge_cases' 'h4/thm/integer/INT_LET_TOTAL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_0_l' 'h4/thm/integer/INT_MOD0_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rgt_asym' 'h4/thm/real/REAL_LT_GT_'
0. 'coq/Coq_Reals_Rtrigo_def_cos_sym' 'h4/thm/integer/INT_ABS_NEG_'
0. 'coq/Coq_Reals_RIneq_Rminus_0_l' 'h4/thm/HolSmt/r128_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_id' 'h4/thm/real/REAL_MIN_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_mod_1_r'#@#variant 'h4/thm/integer/INT_MOD_1_'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qcle_lt_trans' 'h4/thm/extreal/let_trans_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_succ_r' 'h4/thm/integer/INT_MUL_CALCULATE_2'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_ltb_lt' 'h4/thm/quote/index_lt_def_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_nlt' 'h4/thm/integer/INT_NOT_LT_'
0. 'coq/Coq_Reals_RIneq_minus_INR' 'h4/thm/float/REAL_OF_NUM_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_rem_opp_l_prime' 'h4/thm/real/REAL_MUL_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_id' 'h4/thm/gcd/GCD_REF_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_neq' 'h4/thm/realax/HREAL_LT_NE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_sub_diag_r' 'h4/thm/gcd/GCD_ADD_R_THM_e1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_le_mono' 'h4/thm/transc/EXP_MONO_IMP_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_lcm_l' 'h4/thm/real/REAL_LE_MAX1_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_max_l' 'h4/thm/realax/HREAL_LT_ADDL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_min_glb' 'h4/thm/divides/DIVIDES_ADD_1_'
0. 'coq/Coq_ZArith_BinInt_Z_add_cancel_l' 'h4/thm/integer/INT_EQ_LADD_'
0. 'coq/Coq_ZArith_Zlogarithm_log_inf_correct1'#@#variant 'h4/thm/extreal/le_num_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pred_le_mono' 'h4/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rmult_lt_reg_l'#@#variant 'h4/thm/float/REAL_LT_LCANCEL_IMP_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_iff' 'h4/thm/string_num/n2s_11_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_double'#@#variant 'h4/thm/util_prob/neg_lg_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_lub_lt' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_e2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_sub_lt_add_r' 'h4/thm/rat/RAT_RSUB_LES_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_pred' 'h4/thm/numRing/num_rewrites_tLRLRRR'
0. 'coq/Coq_Reals_RIneq_Rle_not_lt' 'h4/thm/real/REAL_LTE_ANTSYM_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_1_l' 'h4/thm/HolSmt/r221_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_le_mono' 'h4/thm/numeral/numeral_distrib_28'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_le_mono' 'h4/thm/real/REAL_POS_MONO_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lor_diag' 'h4/thm/extreal/min_refl_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_lt_mono' 'h4/thm/extreal/le_neg_'
0. 'coq/Coq_ZArith_BinInt_Z_nle_gt' 'h4/thm/rat/RAT_LES_LEQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_le_mono' 'h4/thm/numpair/tri_LE_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_le_mono_l' 'h4/thm/hreal/HRAT_LT_LMUL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_le_incl' 'h4/thm/integer/INT_LT_IMP_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_nonneg_pos'#@#variant 'h4/thm/extreal/lte_mul_'#@#variant
0. 'coq/Coq_Arith_Factorial_lt_O_fact' 'h4/thm/transc/ATN_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_lub_iff' 'h4/thm/arithmetic/MAX_LE_e1'
0. 'coq/Coq_PArith_BinPos_Pos_divide_xO_xO' 'h4/thm/integerRing/int_rewrites_tLRRRLRRRR'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_of_Qc' 'h4/thm/complex/RE_COMPLEX_OF_REAL_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_le_mono' 'h4/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_0_r'#@#variant 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRL'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_le' 'h4/thm/extreal/extreal_lt_eq_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_sub_le_add_l' 'h4/thm/arithmetic/SUB_RIGHT_LESS_EQ_'
0. 'coq/Coq_QArith_Qcanon_Qcopp_involutive' 'h4/thm/integer/INT_QUOT_CALCULATE_e4'
0. 'coq/Coq_NArith_BinNat_N_mul_lt_mono_pos_l'#@#variant 'h4/thm/rat/RAT_LES_LMUL_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_double'#@#variant 'h4/thm/transc/LN_INV_'#@#variant
0. 'coq/Coq_NArith_Ndist_ni_min_idemp' 'h4/thm/arithmetic/MIN_IDEM_'
0. 'coq/Coq_NArith_BinNat_N_pos_pred_succ' 'h4/thm/binary_ieee/rounding_BIJ_0'
0. 'coq/Coq_ZArith_Zquot_Zquot_opp_opp' 'h4/thm/complex/COMPLEX_NEG_DIV2_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_pred_l' 'h4/thm/numpair/invtri_le_'
0. 'coq/Coq_Reals_RIneq_Rplus_le_le_0_compat' 'h4/thm/integer/TINT_LT_MUL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_pred_l' 'h4/thm/complex/COMPLEX_NEG_LMUL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_opp_max_distr' 'h4/thm/complex/COMPLEX_EXP_ADD_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_1_r' 'h4/thm/integer/INT_ADD_RID_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_id' 'h4/thm/real/REAL_MIN_REFL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sub_diag' 'h4/thm/rat/RAT_SUB_ID_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_neq_0_succ' 'h4/thm/toto/num_dt_distinct_1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_quot_1_r' 'h4/thm/integer/INT_SUB_RZERO_'
0. 'coq/Coq_Arith_PeanoNat_Nat_max_lub_lt_iff' 'h4/thm/extreal/max_le_'
0. 'coq/Coq_QArith_QOrderedType_QOrder_le_refl' 'h4/thm/hrat/TRAT_EQ_REFL_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_succ'#@#variant 'h4/thm/real/real_of_num_e1'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_1_l'#@#variant 'h4/thm/HolSmt/r128_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_inj' 'h4/thm/num/INV_SUC_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_pred' 'h4/thm/prim_rec/PRE_e1'
0. 'coq/Coq_QArith_QOrderedType_QOrder_eq_lt' 'h4/thm/integer/INT_LET_TRANS_'
0. 'coq/Coq_QArith_Qreduction_Qred_comp' 'h4/thm/bit/TWOEXP_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_ngt' 'h4/thm/integer/INT_NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_pos_r'#@#variant 'h4/thm/intExtension/INT_GT_RMUL_EXP_'#@#variant
0. 'coq/Coq_NArith_Ndist_ni_le_refl' 'h4/thm/poly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_pos_nonneg'#@#variant 'h4/thm/extreal/lte_add_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_0_r'#@#variant 'h4/thm/integer/INT_MOD_1_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_clearbit_spec_prime'#@#variant 'h4/thm/HolSmt/r224_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_le_mono' 'h4/thm/integerRing/int_rewrites_tLRRRLRRR'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_land_lnot_diag' 'h4/thm/rat/RAT_ADD_RINV_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_glb_lt_iff' 'h4/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_NArith_BinNat_N_pow_lt_mono_r_iff' 'h4/thm/int_arith/lt_justify_multiplication_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pred_succ' 'h4/thm/transc/ATN_TAN_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_pred_l' 'h4/thm/complex/COMPLEX_NEG_LMUL_'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qclt_le_weak' 'h4/thm/real/REAL_LT_IMP_LE_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_xI_succ_xO' 'h4/thm/numeral/numeral_suc_1'
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_null'#@#variant 'h4/thm/intExtension/INT_SGN_CLAUSES_0'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_le_iff' 'h4/thm/arithmetic/MIN_LT_0'
0. 'coq/Coq_QArith_QArith_base_Qmult_le_compat_r'#@#variant 'h4/thm/integral/REAL_LE_RMUL1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_nge' 'h4/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_NArith_BinNat_N_add_le_mono_r' 'h4/thm/arithmetic/LT_ADD_RCANCEL_'
0. 'coq/Coq_NArith_BinNat_N_pow_lt_mono_r'#@#variant 'h4/thm/arithmetic/EXP_BASE_LEQ_MONO_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_nonneg_r'#@#variant 'h4/thm/extreal/le_rmul_imp_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_succ_diag_r' 'h4/thm/divides/INDEX_LESS_PRIMES_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_refl' 'h4/thm/rat/RAT_LEQ_REF_'
0. 'coq/Coq_omega_OmegaLemmas_Zred_factor2'#@#variant 'h4/thm/arithmetic/EXP_e1'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_lt_cancel' 'h4/thm/arithmetic/LESS_MONO_REV_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_lt_mono_r' 'h4/thm/real/REAL_LE_SUB_CANCEL2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_1_l' 'h4/thm/rat/RAT_ADD_LID_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_0_iff' 'h4/thm/extreal/neg_eq0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_pred' 'h4/thm/numRing/num_rewrites_tRRLRRR'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_le_compat_l' 'h4/thm/real/REAL_LT_IADD_'
0. 'coq/Coq_Sets_Multiset_meq_trans' 'h4/thm/sorting/PERM_TRANS_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_0_mul_prime'#@#variant 'h4/thm/arithmetic/ZERO_LESS_MULT_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pred_div2_up' 'h4/thm/complex/COMPLEX_OF_REAL_NEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_pos_neg'#@#variant 'h4/thm/extreal/mul_lt_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_nonneg' 'h4/thm/transc/ATN_BOUNDS_0'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_gt_lt_iff' 'h4/thm/rat/rat_gre_def_'
0. 'coq/Coq_NArith_BinNat_N_gcd_1_r' 'h4/thm/extreal/mul_rzero_'
0. 'coq/Coq_NArith_Ndist_ni_min_O_r' 'h4/thm/integer/INT_MUL_RZERO_'
0. 'coq/Coq_ZArith_BinInt_Z_add_pred_l' 'h4/thm/complex/COMPLEX_NEG_LMUL_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_add_pos_l'#@#variant 'h4/thm/arithmetic/X_LT_EXP_X_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_succ_pred' 'h4/thm/transc/ATN_e2'
0. 'coq/Coq_PArith_Pnat_SuccNat2Pos_inj_iff' 'h4/thm/ieee/ccode_EQ_ccode_'
0. 'coq/Coq_Reals_RIneq_Req_le' 'h4/thm/HolSmt/t006_'
0. 'coq/Coq_ZArith_BinInt_Z_opp_max_distr' 'h4/thm/transc/EXP_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_nonneg_nonneg' 'h4/thm/integer/TINT_LT_MUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_nonneg_l'#@#variant 'h4/thm/logroot/ROOT_LE_MONO_'#@#variant
0. 'coq/Coq_Structures_DecidableTypeEx_N_as_DT_lt_not_eq' 'h4/thm/extreal/lt_imp_ne_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_comm' 'h4/thm/hrat/TRAT_MUL_SYM_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_gcd_1_l' 'h4/thm/integer/INT_MUL_LZERO_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_0_succ' 'h4/thm/integral/LT_0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_0_l_prime' 'h4/thm/integer/INT_REM0_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_even' 'h4/thm/ieee/Exponent_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_le_mono' 'h4/thm/hrat/TRAT_INV_WELLDEFINED_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_min_le_compat_r' 'h4/thm/integer/TINT_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qplus_inj_r' 'h4/thm/hreal/HRAT_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_lt_trans' 'h4/thm/extreal/let_trans_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_asymm' 'h4/thm/real/REAL_LT_GT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_1_l' 'h4/thm/rat/RAT_ADD_LID_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_nge' 'h4/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_1_mul_pos'#@#variant 'h4/thm/integer/INT_LTE_ADD_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_succ_not_1' 'h4/thm/intto/BIT2_nz_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_inj_wd' 'h4/thm/real/REAL_EQ_NEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftl_1_l'#@#variant 'h4/thm/numeral/numeral_texp_help_0'
0. 'coq/Coq_Reals_Rpower_sinh_arcsinh' 'h4/thm/numRing/num_rewrites_tLLRRRR'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lnot_lxor_l' 'h4/thm/integer/INT_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_0_l'#@#variant 'h4/thm/integral/LE_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_nonneg_r'#@#variant 'h4/thm/real/REAL_LT_RMUL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_nge' 'h4/thm/arithmetic/NOT_LESS_EQUAL_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_of_Q' 'h4/thm/real/NUM_FLOOR_EQNS_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_ngt' 'h4/thm/integer/INT_NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_0_r'#@#variant 'h4/thm/arithmetic/MOD_1_'#@#variant
0. 'coq/Coq_ZArith_Znat_Zabs2N_id' 'h4/thm/string_num/n2s_s2n_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_sqrt_2' 'h4/thm/transc/COS_2_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_pred_le' 'h4/thm/arithmetic/OR_LESS_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_nle' 'h4/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_PArith_BinPos_Pos_lt_le_trans' 'h4/thm/arithmetic/LESS_LESS_EQ_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_1' 'h4/thm/real/ABS_0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lcm_1_l'#@#variant 'h4/thm/HolSmt/r221_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sub_add_distr' 'h4/thm/arithmetic/SUB_PLUS_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_gt_cases' 'h4/thm/integer/INT_LET_TOTAL_'
0. 'coq/Coq_ZArith_Znat_Zabs2Nat_id' 'h4/thm/string/char_BIJ_0'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_add_0_l' 'h4/thm/integer/TINT_MUL_LID_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_max_le_iff' 'h4/thm/extreal/le_max_'
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_Ropp' 'h4/thm/transc/COS_NEG_'
0. 'coq/Coq_ZArith_Zdiv_Zmod_1_r'#@#variant 'h4/thm/arithmetic/MOD_ONE_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_0_r'#@#variant 'h4/thm/numeral/numeral_distrib_11'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_double_mul' 'h4/thm/complex/COMPLEX_NEG_LDIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mod_1_r'#@#variant 'h4/thm/arithmetic/MOD_1_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lor_eq_0_l' 'h4/thm/transc/RPOW_NZ_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_le_mono_r' 'h4/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_succ_lt_mono' 'h4/thm/numpair/tri_LT_'
0. 'coq/Coq_ZArith_BinInt_Z_div2_neg' 'h4/thm/real/REAL_POS_LE_ZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_1' 'h4/thm/extreal/neg_0_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_ltb' 'h4/thm/intto/pos_pos_thm_'
0. 'coq/Coq_PArith_Pnat_SuccNat2Pos_inj_iff' 'h4/thm/ieee/roundmode2num_11_'
0. 'coq/Coq_Reals_RIneq_Rplus_lt_reg_r' 'h4/thm/arithmetic/LESS_MONO_ADD_INV_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_succ_r' 'h4/thm/arithmetic/ADD_SUC_'
0. 'coq/Coq_PArith_BinPos_Pos_lt_add_r' 'h4/thm/real/REAL_LE_MAX1_'
0. 'coq/Coq_QArith_Qround_Zdiv_Qdiv' 'h4/thm/rat/rat_sub_def_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_lt_mono_r' 'h4/thm/integral/REAL_LE_LMUL1_'
0. 'coq/Coq_QArith_QOrderedType_QOrder_eq_le' 'h4/thm/integer/INT_LET_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div2_spec'#@#variant 'h4/thm/arithmetic/DIV2_def_'#@#variant
0. 'coq/Coq_Bool_Bool_diff_false_true' 'h4/thm/binary_ieee/float_value_distinct_e2'
0. 'coq/Coq_Reals_Rpower_exp_le_3'#@#variant 'h4/thm/real/REAL_THIRDS_BETWEEN_tRRRL'#@#variant
0. 'coq/Coq_ZArith_Znat_Z2N_inj_quot2' 'h4/thm/extreal/extreal_inv_def_e2'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_le_compat_r' 'h4/thm/arithmetic/LESS_MONO_ADD_'
0. 'coq/Coq_setoid_ring_RealField_Rdef_pow_add' 'h4/thm/real/REAL_POW_ADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_succ'#@#variant 'h4/thm/integer/INT_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_log2_up_le_mono' 'h4/thm/bit/TWOEXP_MONO2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_pos_r'#@#variant 'h4/thm/real/REAL_LE_RMUL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_lt_mono_pos_r'#@#variant 'h4/thm/intExtension/INT_GT_RMUL_EXP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_succ_le_mono' 'h4/thm/arithmetic/LESS_EQ_MONO_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_neg_iff' 'h4/thm/DeepSyntax/deep_form_11_4'
0. 'coq/Coq_Arith_PeanoNat_Nat_pred_le_mono' 'h4/thm/real/REAL_POS_MONO_'
0. 'coq/Coq_NArith_BinNat_N_min_le_iff' 'h4/thm/arithmetic/MIN_LE_0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftl_shiftl' 'h4/thm/arithmetic/EXP_EXP_MULT_'
0. 'coq/Coq_ZArith_BinInt_Z_log2_lt_cancel' 'h4/thm/arithmetic/LESS_MONO_REV_'
0. 'coq/Coq_Arith_PeanoNat_Nat_div2_double'#@#variant 'h4/thm/numeral/numeral_add_0'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_sub_diag' 'h4/thm/arithmetic/SUB_EQUAL_0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_le_mono_pos_r'#@#variant 'h4/thm/intExtension/INT_LT_RMUL_EXP_'#@#variant
0. 'coq/Coq_PArith_Pnat_SuccNat2Pos_inj_iff' 'h4/thm/binary_ieee/rounding2num_11_'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_le_mono' 'h4/thm/hrat/TRAT_INV_WELLDEFINED_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_le_mono' 'h4/thm/integerRing/int_rewrites_tRRRRRRLRRRR'
0. 'coq/Coq_ZArith_BinInt_Z_sub_max_distr_l' 'h4/thm/transc/RPOW_ADD_'
0. 'coq/Coq_NArith_BinNat_N_max_lub_lt_iff' 'h4/thm/extreal/max_le_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_lt_mono_pos_l'#@#variant 'h4/thm/int_arith/justify_divides_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_lt_mono_l' 'h4/thm/arithmetic/LT_ADD_LCANCEL_'
0. 'coq/Coq_Arith_Factorial_lt_O_fact' 'h4/thm/integral/LT_0_'
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_divide_iff' 'h4/thm/integral/REAL_LT_MIN_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_le_mono' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mod_same' 'h4/thm/integer/INT_MOD_ID_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rmult_le_pos' 'h4/thm/integer/INT_LT_MUL_'
0. 'coq/Coq_PArith_BinPos_Pos_add_lt_mono_r' 'h4/thm/hreal/HRAT_LT_RMUL_'
0. 'coq/Coq_ZArith_BinInt_Z_setbit_spec_prime'#@#variant 'h4/thm/rat/RAT_DIV_MULMINV_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_nlt' 'h4/thm/arithmetic/NOT_LESS_EQUAL_'
0. 'coq/Coq_Reals_Rminmax_R_max_lt_iff' 'h4/thm/real/REAL_LE_MAX_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_succ_inj' 'h4/thm/num/INV_SUC_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_glb_iff' 'h4/thm/arithmetic/MIN_LT_e1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_divide_r' 'h4/thm/real/REAL_MIN_LE2_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_succ_le_mono' 'h4/thm/numeral/numeral_lte_3'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_1_l' 'h4/thm/integer/INT_SUB_REDUCE_1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_add_le_sub_r' 'h4/thm/arithmetic/SUB_LEFT_LESS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_nle_gt' 'h4/thm/arithmetic/NOT_LESS_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_pred_double_spec' 'h4/thm/numRing/num_rewrites_tLRLRR'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_lub_iff' 'h4/thm/util_prob/MAX_LE_X_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_lt_mono_l' 'h4/thm/realax/HREAL_LT_LADD_'
0. 'coq/Coq_Bool_Bool_diff_true_false' 'h4/thm/ieee/ccode_distinct_e5'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_eq_0_r' 'h4/thm/extreal/add_not_infty_0'
0. 'coq/Coq_Reals_RIneq_cond_nonzero' 'h4/thm/extreal/num_not_infty_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_diag' 'h4/thm/HolSmt/r216_'#@#variant
0. 'coq/Coq_QArith_Qreals_Qle_Rle' 'h4/thm/realax/TREAL_ISO_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftr_opp_r' 'h4/thm/frac/frac_div_def_'
0. 'coq/Coq_ZArith_BinInt_Z_opp_succ' 'h4/thm/numeral_bit/numeral_ilog2_e2'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_refl' 'h4/thm/arithmetic/LESS_EQ_REFL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_divide_mono_l' 'h4/thm/real/REAL_LE_LADD_IMP_'
0. 'coq/Coq_QArith_Qcanon_Qcle_antisym' 'h4/thm/divides/DIVIDES_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_max_r' 'h4/thm/integer/INT_DIVIDES_MUL_e1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_sub_lt_add_r' 'h4/thm/arithmetic/SUB_LEFT_GREATER_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_cancel_r' 'h4/thm/complex/COMPLEX_EQ_RADD_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_succ_pred_double' 'h4/thm/numeral/numeral_pre_e4'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_eq_0' 'h4/thm/arithmetic/ADD_EQ_0_'
0. 'coq/Coq_Reals_RIneq_Rinv_r' 'h4/thm/real/REAL_MUL_RINV_'#@#variant
0. 'coq/Coq_Reals_Rpower_exp_Ropp' 'h4/thm/numeral/iDUB_removal_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_1_r'#@#variant 'h4/thm/arithmetic/ADD1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_cancel_r' 'h4/thm/arithmetic/EQ_MONO_ADD_EQ_'
0. 'coq/Coq_Classes_SetoidClass_setoid_refl' 'h4/thm/llist/LFINITE_fromList_'
0. 'coq/Coq_ZArith_Zcomplements_floor_ok/0' 'h4/thm/real/POW_2_LT_'#@#variant
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_double'#@#variant 'h4/thm/quote/index_size_def_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div2_succ_double' 'h4/thm/transc/ATN_e2'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_le_mono' 'h4/thm/divides/LT_PRIMES_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_le_compat_r' 'h4/thm/extreal/le_radd_imp_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_setbit_spec_prime'#@#variant 'h4/thm/integer/int_sub_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_l' 'h4/thm/arithmetic/LESS_MOD_'
0. 'coq/Coq_ZArith_BinInt_Zopp_mult_distr_r' 'h4/thm/complex/COMPLEX_MUL_RNEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div_same'#@#variant 'h4/thm/integer/INT_QUOT_ID_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mod_small' 'h4/thm/arithmetic/LESS_MOD_'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_iff' 'h4/thm/binary_ieee/rounding2num_11_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_lt_mono_nonneg'#@#variant 'h4/thm/real/REAL_LE_MUL2_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_inv_normc' 'h4/thm/extreal/extreal_inv_def_e2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_opp_r' 'h4/thm/HolSmt/r224_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lor_lnot_diag'#@#variant 'h4/thm/real/REAL_ADD_RINV_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_le_mono_r_iff'#@#variant 'h4/thm/integer/INT_LE_MONO_'#@#variant
0. 'coq/Coq_Bool_Bool_negb_xorb_r' 'h4/thm/extreal/mul_rneg_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_divide_mono_l' 'h4/thm/integer/TINT_LT_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lxor_lnot_lnot' 'h4/thm/complex/COMPLEX_NEG_MUL2_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_le_mono' 'h4/thm/bit/TWOEXP_MONO_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_le_lteq' 'h4/thm/integer/INT_LE_CALCULATE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_neq_succ_0' 'h4/thm/num/NOT_SUC_'
0. 'coq/Coq_Reals_ROrderedType_ROrder_TO_lt_total' 'h4/thm/hreal/HRAT_LT_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pred_le_mono' 'h4/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Reals_Rtrigo_calc_toRad_inj' 'h4/thm/num/INV_SUC_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_succ_diag_r' 'h4/thm/real/REAL_POS_INFLATE_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_lt_mono_r' 'h4/thm/integer/INT_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_min_r' 'h4/thm/real/REAL_MIN_LE2_'
0. 'coq/Coq_Bool_Bool_negb_involutive_reverse' 'h4/thm/complex/COMPLEX_NEGNEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_eq_cases' 'h4/thm/arithmetic/GREATER_OR_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_Zpos' 'h4/thm/realax/REAL_ISO_EQ_'
0. 'coq/Coq_PArith_BinPos_Pos_mul_lt_mono_l' 'h4/thm/integer/INT_LE_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_ge_cases' 'h4/thm/arithmetic/LESS_EQ_CASES_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_1_l' 'h4/thm/rat/RAT_SUB_LID_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_iff' 'h4/thm/integer/INT_QUOT_CALCULATE_2'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_lt_mono_r' 'h4/thm/integral/REAL_LE_LMUL1_'
0. 'coq/Coq_ZArith_BinInt_Z_testbit_even_0'#@#variant 'h4/thm/toto/numeralOrd_3'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pow_lt_mono_r_iff'#@#variant 'h4/thm/logroot/LE_EXP_ISO_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_ge_le_iff' 'h4/thm/real/real_ge_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_le_mono' 'h4/thm/bit/TWOEXP_MONO2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_lt_mono_pos_l'#@#variant 'h4/thm/real/REAL_LE_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_pred_l' 'h4/thm/arithmetic/MULT_CLAUSES_4'
0. 'coq/Coq_Bool_Bool_negb_involutive' 'h4/thm/integer/INT_NEGNEG_'
0. 'coq/Coq_MSets_MSetPositive_PositiveSet_equal_spec' 'h4/thm/quote/index_lt_def_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_divide_mono_r' 'h4/thm/integer/TINT_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_1_l'#@#variant 'h4/thm/divides/ONE_DIVIDES_ALL_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_max_lub_lt_iff' 'h4/thm/arithmetic/MAX_LE_e1'
0. 'coq/Coq_NArith_BinNat_N_double_mul' 'h4/thm/rat/RAT_AINV_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_le_mono' 'h4/thm/numpair/tri_LT_I_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_le_succ_r' 'h4/thm/prim_rec/LESS_SUC_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_opp_r' 'h4/thm/rat/RAT_SUB_ADDAINV_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_move_r' 'h4/thm/integer/INT_EQ_SUB_LADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_lor' 'h4/thm/complex/COMPLEX_EXP_SUB_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_glb_lt' 'h4/thm/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_max_le_iff' 'h4/thm/util_prob/X_LE_MAX_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lcm_1_l' 'h4/thm/HolSmt/r079_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_le_mono' 'h4/thm/numpair/tri_LT_I_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_lt_mono' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_IsTO_lt_total' 'h4/thm/real/REAL_LT_TOTAL_'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_eqke_refl'#@#variant 'h4/thm/Encode/biprefix_refl_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_lt_mono' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_QArith_Qcanon_Qcnot_le_lt' 'h4/thm/real/REAL_LET_TOTAL_'
0. 'coq/Coq_Reals_Rbasic_fun_Rmax_r' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_1'
0. 'coq/Coq_ZArith_BinInt_Z_le_lteq' 'h4/thm/arithmetic/GREATER_OR_EQ_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_lt_m1_0' 'h4/thm/util_prob/HALF_LT_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_clearbit_spec_prime'#@#variant 'h4/thm/integer/INT_SUB_RNEG_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_odd' 'h4/thm/rat/rat_dnm_def_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_double_size_level' 'h4/thm/rat/RAT_AINV_CALCULATE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_0_l' 'h4/thm/integer/INT_REM0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ldiff_m1_l'#@#variant 'h4/thm/util_prob/lg_def_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_gcd_eq_0' 'h4/thm/gcd/GCD_EQ_0_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_sub_le_add_r' 'h4/thm/real/REAL_LE_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_lt_mono_pos_r'#@#variant 'h4/thm/intExtension/INT_LT_RMUL_EXP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_inj_wd' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_divide_mono_r' 'h4/thm/hrat/TRAT_ADD_WELLDEFINED_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mod_1_l'#@#variant 'h4/thm/transc/ONE_RPOW_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_1' 'h4/thm/real/REAL_INV_0_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_nle' 'h4/thm/rat/RAT_LES_LEQ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_1_r' 'h4/thm/HolSmt/r080_'
0. 'coq/Coq_ZArith_Zorder_Zle_0_pos'#@#variant 'h4/thm/complex/MODU_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_le_mono_r_iff'#@#variant 'h4/thm/integer/INT_LE_MONO_'#@#variant
0. 'coq/Coq_Init_Peano_le_n_S' 'h4/thm/bit/TWOEXP_MONO_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_lt_mono_l' 'h4/thm/integer/LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_nle_gt' 'h4/thm/integer/INT_NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_0_iff' 'h4/thm/real/REAL_INV_EQ_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_pos_pos' 'h4/thm/arithmetic/LESS_MULT2_'
0. 'coq/Coq_ZArith_BinInt_Z_sgn_sgn' 'h4/thm/integer/INT_ABS_ABS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_lt_mono_r' 'h4/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_succ_r' 'h4/thm/util_prob/LE_SUC_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_double'#@#variant 'h4/thm/util_prob/neg_lg_'#@#variant
0. 'coq/Coq_Init_Peano_pred_Sn' 'h4/thm/prim_rec/PRE_e1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftl_opp_r' 'h4/thm/integer/int_sub_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_succ_lt_mono' 'h4/thm/numeral/numeral_distrib_28'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_1_l'#@#variant 'h4/thm/integer/INT_DIVIDES_1_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_glb_lt' 'h4/thm/divides/DIVIDES_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_leb_le' 'h4/thm/quote/index_lt_def_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_ge_le_iff' 'h4/thm/arithmetic/GREATER_DEF_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_nlt_ge' 'h4/thm/real/real_lt_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_opp_r' 'h4/thm/frac/FRAC_AINV_RMUL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_nlt' 'h4/thm/integer/INT_NOT_LE_'
0. 'coq/Coq_PArith_BinPos_Pos_mul_lt_mono_l' 'h4/thm/realax/HREAL_LT_LADD_'
0. 'coq/Coq_ZArith_BinInt_Z_max_le_compat_r' 'h4/thm/hrat/TRAT_MUL_WELLDEFINED_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_assoc' 'h4/thm/hrat/TRAT_MUL_ASSOC_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_1' 'h4/thm/real/REAL_ABS_0_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_factor_r' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_1'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_asymm' 'h4/thm/hreal/HRAT_LT_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lcm_eq_0' 'h4/thm/extreal/entire_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_le_max_l' 'h4/thm/hreal/HRAT_LT_ADDL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_double'#@#variant 'h4/thm/util_prob/neg_lg_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_sub_le_add_r' 'h4/thm/real/REAL_LT_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_id' 'h4/thm/real/REAL_MIN_REFL_'
0. 'coq/Coq_Reals_Rbasic_fun_Rminmax' 'h4/thm/arithmetic/MIN_MAX_LE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pos_pred_succ' 'h4/thm/string/CHR_ORD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_1_r' 'h4/thm/arithmetic/PRE_SUB1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_nge' 'h4/thm/arithmetic/NOT_LESS_'
0. 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_le_lt_iff' 'h4/thm/arithmetic/NOT_LESS_EQUAL_'
0. 'coq/Coq_Reals_RIneq_Rlt_irrefl' 'h4/thm/realax/TREAL_LT_REFL_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_le_mono_r' 'h4/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_lt_mono_pos_l'#@#variant 'h4/thm/real/REAL_LT_LMUL_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_1' 'h4/thm/integer/INT_NEG_0_'
0. 'coq/Coq_NArith_BinNat_N_lxor_nilpotent' 'h4/thm/rat/RAT_SUB_ID_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_1' 'h4/thm/integer/INT_ADD_REDUCE_2'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_0_l' 'h4/thm/arithmetic/ZERO_LESS_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_le_compat_r' 'h4/thm/integer/TINT_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_nonneg_nonneg' 'h4/thm/realax/TREAL_LT_MUL_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_lt_mono_r' 'h4/thm/arithmetic/LT_ADD_RCANCEL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftl_mul_pow2'#@#variant 'h4/thm/HolSmt/r131_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_succ' 'h4/thm/complex/COMPLEX_EXP_NEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_le_mono' 'h4/thm/numpair/tri_LE_'
0. 'coq/Coq_ZArith_BinInt_Z_land_diag' 'h4/thm/arithmetic/MIN_IDEM_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_succ_diag_r' 'h4/thm/real/REAL_POS_INFLATE_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_of_Z' 'h4/thm/rat/RAT_'
0. 'coq/Coq_ZArith_BinInt_Z_max_lub_lt_iff' 'h4/thm/extreal/max_le_'
0. 'coq/Coq_PArith_BinPos_Pos_le_lt_trans' 'h4/thm/real/REAL_LET_TRANS_'
0. 'coq/Coq_QArith_Qabs_Qabs_wd' 'h4/thm/transc/EXP_MONO_IMP_'
0. 'coq/Coq_ZArith_Zorder_Zplus_le_compat_l' 'h4/thm/realax/TREAL_LT_ADD_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sub_add_distr' 'h4/thm/arithmetic/SUB_RIGHT_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_le_mono_r'#@#variant 'h4/thm/logroot/ROOT_LE_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_eq_mul_0' 'h4/thm/extreal/entire_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_succ_inj_wd' 'h4/thm/real/REAL_EQ_NEG_'
0. 'coq/Coq_NArith_BinNat_N_add_pos_l'#@#variant 'h4/thm/transc/RPOW_POS_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_lt_mono' 'h4/thm/extreal/le_neg_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_eq_mul_0_r' 'h4/thm/extreal/add_not_infty_0'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_le_iff' 'h4/thm/extreal/le_max_'
0. 'coq/Coq_QArith_Qcanon_Qcle_antisym' 'h4/thm/arithmetic/LESS_EQUAL_ANTISYM_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_setbit_spec_prime'#@#variant 'h4/thm/complex/complex_div_'#@#variant
0. 'coq/Coq_Reals_Rpower_ln_exp' 'h4/thm/transc/ATN_e2'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_lub_iff' 'h4/thm/arithmetic/MAX_LE_e1'
0. 'coq/Coq_PArith_BinPos_Pos_pred_succ' 'h4/thm/numRing/num_rewrites_tLLRRRR'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_succ_r' 'h4/thm/arithmetic/ADD_CLAUSES_e3'
0. 'coq/Coq_PArith_BinPos_Pos_mul_xO_r' 'h4/thm/arithmetic/ADD_CLAUSES_e3'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_l' 'h4/thm/real/REAL_MAX_ALT_e1'
0. 'coq/Coq_Arith_PeanoNat_Nat_sub_add_distr' 'h4/thm/logroot/EXP_MUL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_sub_diag' 'h4/thm/real/REAL_SUB_REFL_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lcm_eq_0' 'h4/thm/integer/INT_ENTIRE_'#@#variant
0. 'coq/Coq_Lists_List_incl_refl' 'h4/thm/sorting/PERM_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gt_lt_iff' 'h4/thm/real/real_ge_'
0. 'coq/Coq_ZArith_BinInt_Z_divide_1_l'#@#variant 'h4/thm/integral/LE_0_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_0_succ' 'h4/thm/transc/ATN_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_le_mono_r_iff'#@#variant 'h4/thm/integer/INT_LT_MONO_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_pos_r'#@#variant 'h4/thm/intExtension/INT_LT_RMUL_EXP_'#@#variant
0. 'coq/Coq_ZArith_Znat_Zabs_N_nat' 'h4/thm/rat/rat_sgn_def_'
0. 'coq/Coq_Arith_PeanoNat_Nat_clearbit_spec_prime'#@#variant 'h4/thm/extreal/extreal_div_def_'
0. 'coq/Coq_QArith_Qcanon_Qcnot_lt_le' 'h4/thm/integer/INT_LTE_TOTAL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftl_mul_pow2'#@#variant 'h4/thm/complex/complex_div_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_pos_pos' 'h4/thm/integer/TINT_LT_MUL_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_0_discr' 'h4/thm/quote/index_distinct_e2'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_sqrt' 'h4/thm/DeepSyntax/deep_form_size_def_2'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_ge_le_iff' 'h4/thm/real/real_ge_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_le_mono' 'h4/thm/integer/TINT_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_succ_lt_mono' 'h4/thm/transc/EXP_MONO_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_lteq' 'h4/thm/integer/INT_LE_LT_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_le_lin'#@#variant 'h4/thm/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rge_antisym' 'h4/thm/divides/DIVIDES_ANTISYM_'
0. 'coq/Coq_NArith_BinNat_N_le_sub_le_add_r' 'h4/thm/rat/RAT_RSUB_LES_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_inj_wd' 'h4/thm/string/EXPLODE_11_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_neq_succ_0' 'h4/thm/intto/BIT1_nz_'
0. 'coq/Coq_ZArith_Znat_Zabs2N_id' 'h4/thm/string_num/s2n_n2s_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_1' 'h4/thm/transc/SIN_0_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_rem_opp_l_prime' 'h4/thm/integer/INT_NEG_LMUL_'
0. 'coq/Coq_Arith_Plus_plus_lt_le_compat' 'h4/thm/real/REAL_LTE_ADD2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_nge' 'h4/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_QArith_QArith_base_Zle_Qle' 'h4/thm/integer/int_lt_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_ldiff_diag' 'h4/thm/real/REAL_SUB_REFL_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_quot2' 'h4/thm/extreal/extreal_inv_def_e2'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_le_compat_l' 'h4/thm/integer/TINT_LT_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_pos'#@#variant 'h4/thm/numeral/numeral_distrib_33'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_land' 'h4/thm/complex/COMPLEX_EXP_SUB_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_le_compat_l' 'h4/thm/realax/TREAL_LT_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_opp_r' 'h4/thm/extreal/extreal_div_def_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_succ_le_mono' 'h4/thm/integerRing/int_rewrites_tLRRRRLRRR'
0. 'coq/Coq_ZArith_Znat_Z_nat_N' 'h4/thm/realax/hreal_of_real_'#@#variant
0. 'coq/Coq_QArith_QOrderedType_QOrder_lt_le_trans' 'h4/thm/extreal/lte_trans_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_mul_r' 'h4/thm/frac/FRAC_SUB_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_neq' 'h4/thm/integer/INT_LT_LE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftr_shiftr' 'h4/thm/arithmetic/SUB_PLUS_'
0. 'coq/__constr_Coq_Sets_Finite_sets_Finite_0_1' 'h4/thm/list/NULL_0'
0. 'coq/Coq_Reals_RIneq_Ropp_mult_distr_l_reverse' 'h4/thm/arithmetic/PRE_SUB_'
0. 'coq/Coq_QArith_QArith_base_Zlt_Qlt' 'h4/thm/integer/int_lt_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_total' 'h4/thm/hreal/HRAT_LT_TOTAL_'
0. 'coq/Coq_QArith_Qround_Qceiling_Z' 'h4/thm/pred_set/pair_to_num_inv_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_succ_le_mono' 'h4/thm/numeral/numeral_distrib_28'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_minus_one_neq_zero'#@#variant 'h4/thm/toto/all_cpn_distinct_1'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_le_mono' 'h4/thm/integer/TINT_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_null_iff' 'h4/thm/integer/INT_QUOT_CALCULATE_3'#@#variant
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_pred' 'h4/thm/extreal/extreal_abs_def_0'
0. 'coq/Coq_Reals_RIneq_Rplus_gt_compat_l' 'h4/thm/integer/INT_LT_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mod_small' 'h4/thm/arithmetic/LESS_MOD_'
0. 'coq/Coq_Reals_Rminmax_R_min_le_iff' 'h4/thm/extreal/min_le_'
0. 'coq/Coq_NArith_BinNat_N_le_succ_diag_r' 'h4/thm/prim_rec/LESS_SUC_REFL_'
0. 'coq/Coq_Reals_Rtrigo_calc_sqrt2_neq_0'#@#variant 'h4/thm/binary_ieee/rounding_distinct_0'
0. 'coq/Coq_NArith_Nnat_Nat2N_id' 'h4/thm/integer/NUM_OF_INT_'
0. 'coq/Coq_NArith_Ndigits_Nless_def_4' 'h4/thm/toto/qk_numeralOrd_e8'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_nle_gt' 'h4/thm/integer/int_le_'
0. 'coq/Coq_Reals_Rfunctions_tech_pow_Rmult' 'h4/thm/complex/complex_pow_def_e1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_cancel_l' 'h4/thm/realax/HREAL_EQ_LADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_0_l' 'h4/thm/numeral/texp_help_def_0'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_gt' 'h4/thm/string/char_lt_def_'
0. 'coq/Coq_QArith_QOrderedType_QOrder_lt_eq' 'h4/thm/extreal/lte_trans_'
0. 'coq/Coq_NArith_Ndigits_Nless_def_3' 'h4/thm/toto/qk_numeralOrd_e8'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_inj_wd' 'h4/thm/DeepSyntax/deep_form_11_2'
0. 'coq/Coq_Program_Wf_measure_wf' 'h4/thm/relation/transitive_inv_image_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_l2i_i2l'#@#variant 'h4/thm/binary_ieee/float_compare_BIJ_0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_clearbit_spec_prime'#@#variant 'h4/thm/real/real_div_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_succ_l' 'h4/thm/rat/RAT_AINV_LMUL_'
0. 'coq/Coq_ZArith_Zorder_Zgt_irrefl' 'h4/thm/integer/INT_LT_REFL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_le_mono_r' 'h4/thm/integer/INT_LT_RADD_'
0. 'coq/Coq_Reals_Rtrigo_calc_deg_rad' 'h4/thm/transc/ATN_TAN_'
0. 'coq/Coq_Arith_PeanoNat_Nat_clearbit_spec_prime'#@#variant 'h4/thm/frac/frac_sub_def_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lnot_ones' 'h4/thm/hrat/HRAT_MUL_LINV_'
0. 'coq/Coq_NArith_BinNat_N_neq_0_succ' 'h4/thm/toto/num_dt_distinct_0'
0. 'coq/Coq_ZArith_BinInt_Z_pow_0_r'#@#variant 'h4/thm/numeral/numeral_distrib_11'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_min_glb_lt_iff' 'h4/thm/arithmetic/MIN_LE_e1'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_0_mul_prime' 'h4/thm/arithmetic/ZERO_LESS_MULT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftr_div_pow2'#@#variant 'h4/thm/integer/INT_SUB_CALCULATE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_le_trans' 'h4/thm/extreal/lte_trans_'
0. 'coq/Coq_Arith_Min_min_l' 'h4/thm/arithmetic/LESS_MOD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_lt_le_mono' 'h4/thm/integer/INT_LTE_ADD2_'
0. 'coq/Coq_Reals_Ratan_Alt_PI_eq' 'h4/thm/rat/RAT_OF_NUM_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_cancel_r' 'h4/thm/complex/COMPLEX_EQ_RADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_le_mono' 'h4/thm/transc/EXP_MONO_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_le_mono' 'h4/thm/bit/TWOEXP_MONO2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_lt_mono_l' 'h4/thm/rat/RAT_LES_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_1' 'h4/thm/real/ABS_0_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_nonneg_pos'#@#variant 'h4/thm/real/REAL_LET_ADD_'#@#variant
0. 'coq/Coq_ZArith_Znat_nat_N_Z' 'h4/thm/hrat/hrat_sucint_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_1_r' 'h4/thm/real/REAL_SUB_RZERO_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_le_mono_r' 'h4/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_1_r' 'h4/thm/rat/RAT_ADD_RID_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_id' 'h4/thm/real/REAL_MIN_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_pos_pos' 'h4/thm/realax/REAL_LT_MUL_'
0. 'coq/Coq_QArith_QArith_base_Qlt_shift_div_r'#@#variant 'h4/thm/real/REAL_LE_LDIV_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Zminus_diag_reverse' 'h4/thm/arithmetic/SUB_EQUAL_0_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_nonneg_r'#@#variant 'h4/thm/real/REAL_LE_RMUL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_le_mono' 'h4/thm/bit/TWOEXP_MONO_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rlt_or_le' 'h4/thm/integer/INT_LTE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_le_mono_l' 'h4/thm/arithmetic/LE_ADD_LCANCEL_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_log2_2' 'h4/thm/extreal/half_between_tRL'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_land_nonneg' 'h4/thm/arithmetic/ZERO_LESS_ADD_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_iff' 'h4/thm/ieee/ccode_EQ_ccode_'
0. 'coq/Coq_Arith_PeanoNat_Nat_odd_sub' 'h4/thm/float/REAL_OF_NUM_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_le_iff' 'h4/thm/arithmetic/MIN_LT_0'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_minus_one_neq_zero'#@#variant 'h4/thm/rat/RAT_1_NOT_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_nonneg'#@#variant 'h4/thm/real/REAL_LE_INV_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_nonneg'#@#variant 'h4/thm/transc/RPOW_POS_LT_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_land_diag' 'h4/thm/real/REAL_MIN_REFL_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_log2_1' 'h4/thm/extreal/half_between_tRL'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_min_le_compat_l' 'h4/thm/integer/INT_LT_LADD_IMP_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_lxor_l' 'h4/thm/complex/COMPLEX_MUL_LNEG_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_le_compat_r' 'h4/thm/arithmetic/LESS_MONO_MULT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_ldiff_ldiff_l' 'h4/thm/logroot/EXP_MUL_'
0. 'coq/Coq_Reals_Rtrigo1_PI_neq0' 'h4/thm/toto/all_cpn_distinct_tLL'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_pos'#@#variant 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_lt_mono_pos_l'#@#variant 'h4/thm/arithmetic/EXP_BASE_LE_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_1_mul_pos'#@#variant 'h4/thm/util_prob/REAL_LE_LT_MUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_le_compat_l' 'h4/thm/real/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_le_mono' 'h4/thm/integer/TINT_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sub_le_mono_r' 'h4/thm/hrat/TRAT_MUL_WELLDEFINED_'#@#variant
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_phi' 'h4/thm/string_num/s2n_n2s_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_opp_l' 'h4/thm/complex/COMPLEX_NEG_LMUL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_cancel_r' 'h4/thm/real/REAL_EQ_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_opp_r' 'h4/thm/integer/INT_SUB_RNEG_'
0. 'coq/Coq_NArith_BinNat_N_neq_succ_0' 'h4/thm/quote/index_distinct_1'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_gt_lt_iff' 'h4/thm/integer/INT_GE_CALCULATE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_le_mono_l' 'h4/thm/arithmetic/ADD_MONO_LESS_EQ_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_le_mono' 'h4/thm/divides/LT_PRIMES_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div_1_r' 'h4/thm/HolSmt/r080_'
0. 'coq/Coq_Bool_Bool_negb_involutive_reverse' 'h4/thm/extreal/neg_neg_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_le_mono_r_iff'#@#variant 'h4/thm/transc/RPOW_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_1_r' 'h4/thm/integer/INT_SUB_REDUCE_0'
0. 'coq/Coq_NArith_BinNat_N_mul_lt_mono_pos_r'#@#variant 'h4/thm/logroot/EXP_LT_ISO_'#@#variant
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_bounded/0'#@#variant 'h4/thm/real/POW_2_LE1_'#@#variant
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_double' 'h4/thm/complex/COMPLEX_OF_REAL_INV_'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_gt' 'h4/thm/extreal/extreal_lt_eq_'
0. 'coq/Coq_Arith_PeanoNat_Nat_div2_double'#@#variant 'h4/thm/transc/LN_EXP_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_refl' 'h4/thm/arithmetic/LESS_EQ_REFL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_le_compat_r' 'h4/thm/arithmetic/LESS_MONO_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ldiff_land' 'h4/thm/frac/frac_div_def_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_nonneg_nonneg' 'h4/thm/arithmetic/LESS_MULT2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_pred' 'h4/thm/sptree/lrnext_thm_3'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_asymm' 'h4/thm/realax/HREAL_LT_GT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_le_mono_r_iff'#@#variant 'h4/thm/rat/RAT_LES_LMUL_POS_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_setbit_spec_prime'#@#variant 'h4/thm/rat/RAT_SUB_ADDAINV_'
0. 'coq/Coq_ZArith_BinInt_Z_ldiff_land' 'h4/thm/rat/RAT_DIV_MULMINV_'
0. 'coq/Coq_Reals_Raxioms_R1_neq_R0' 'h4/thm/extreal/extreal_distinct_0'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_succ_le_mono' 'h4/thm/numeral/numeral_distrib_22'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_succ_l' 'h4/thm/complex/COMPLEX_NEG_LMUL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_lt_mono_l' 'h4/thm/hreal/HRAT_LT_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_eq_0_r' 'h4/thm/extreal/add_not_infty_0'
0. 'coq/Coq_ZArith_BinInt_Z_lxor_nilpotent' 'h4/thm/rat/RAT_SUB_ID_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_divide_add_r' 'h4/thm/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rmin_Rgt' 'h4/thm/arithmetic/MAX_LT_e1'
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_nonneg_r'#@#variant 'h4/thm/arithmetic/DIV_LE_MONOTONE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_cancel_r' 'h4/thm/complex/COMPLEX_EQ_RADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_pred' 'h4/thm/prim_rec/PRE_e1'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_ge' 'h4/thm/string/char_lt_def_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_succ_le_mono' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_setbit_spec_prime'#@#variant 'h4/thm/extreal/extreal_div_def_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_succ_diag_r' 'h4/thm/real/REAL_POS_INFLATE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_0_l' 'h4/thm/numeral/texp_help_def_0'
0. 'coq/Coq_NArith_BinNat_N_lcm_1_r' 'h4/thm/HolSmt/r214_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_pos'#@#variant 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Reals_Rpower_exp_le_3'#@#variant 'h4/thm/real/REAL_HALF_BETWEEN_tRL'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_testbit_even_0'#@#variant 'h4/thm/quote/index_compare_def_3'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_le_lin'#@#variant 'h4/thm/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_1' 'h4/thm/real/REAL_INV_0_'
0. 'coq/Coq_NArith_BinNat_N_div_0_l' 'h4/thm/integer/INT_QUOT_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_succ_l' 'h4/thm/complex/COMPLEX_NEG_LMUL_'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_lt_not_eq' 'h4/thm/extreal/lt_imp_ne_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_double'#@#variant 'h4/thm/util_prob/lg_inv_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_rem_opp_l_prime' 'h4/thm/complex/COMPLEX_NEG_LDIV_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qlt_irrefl' 'h4/thm/prim_rec/LESS_REFL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_neg_neg'#@#variant 'h4/thm/extreal/lt_mul_neg_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_null'#@#variant 'h4/thm/intExtension/INT_SGN_CLAUSES_0'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_div_lt'#@#variant 'h4/thm/arithmetic/DIV_LESS_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_cos_sin'#@#variant 'h4/thm/transc/COS_SIN_'#@#variant
0. 'coq/Coq_ZArith_Znat_Zabs2Nat_id' 'h4/thm/binary_ieee/num2float_compare_float_compare2num_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_clearbit_spec_prime'#@#variant 'h4/thm/integer/int_sub_'
0. 'coq/Coq_Bool_Bool_negb_prop_classical' 'h4/thm/real/REAL_LE_NEGTOTAL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_succ_inj' 'h4/thm/divides/PRIMES_11_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_le_compat_l' 'h4/thm/integer/INT_LT_LADD_IMP_'
0. 'coq/Coq_Arith_Even_odd_plus_l' 'h4/thm/util_prob/REAL_LE_LT_MUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lcm_eq_0' 'h4/thm/intExtension/INT_NO_ZERODIV_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_1_l' 'h4/thm/real/REAL_MUL_LZERO_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftl_mul_pow2'#@#variant 'h4/thm/real/real_div_'
0. 'coq/Coq_Reals_R_sqrt_sqrt_positivity'#@#variant 'h4/thm/transc/SQRT_POS_LE_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div2_succ_double' 'h4/thm/string/EXPLODE_IMPLODE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lnot_0_l' 'h4/thm/HolSmt/r128_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_lt_mono' 'h4/thm/transc/EXP_MONO_LT_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_cancel_l' 'h4/thm/hreal/HRAT_EQ_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_nle_gt' 'h4/thm/real/real_lt_'
0. 'coq/Coq_Reals_RIneq_Rle_refl' 'h4/thm/arithmetic/LESS_EQ_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_add_succ_l' 'h4/thm/complex/COMPLEX_NEG_LMUL_'#@#variant
0. 'coq/Coq_Reals_Rpower_exp_Ropp' 'h4/thm/numRing/num_rewrites_tLLRRRRRR'
0. 'coq/Coq_NArith_BinNat_N_add_cancel_l' 'h4/thm/real/REAL_EQ_LADD_'
0. 'coq/Coq_NArith_BinNat_N_mul_divide_mono_r' 'h4/thm/arithmetic/LESS_MONO_ADD_'
0. 'coq/Coq_PArith_BinPos_Pos_lt_succ_r' 'h4/thm/float/LT_SUC_LE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_le_mono_l' 'h4/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mod_1_l'#@#variant 'h4/thm/arithmetic/ZERO_DIV_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_lt_mono_pos_l'#@#variant 'h4/thm/arithmetic/EXP_BASE_LE_MONO_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_setbit_spec_prime'#@#variant 'h4/thm/HolSmt/r131_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_1_r' 'h4/thm/integer/INT_ADD_RID_'
0. 'coq/Coq_QArith_Qminmax_Q_max_assoc' 'h4/thm/hrat/TRAT_ADD_ASSOC_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_pos_l'#@#variant 'h4/thm/transc/RPOW_LT_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_abs_IZR' 'h4/thm/extreal/extreal_inv_def_e2'
0. 'coq/Coq_Arith_Max_le_max_r' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_1'
0. 'coq/Coq_ZArith_Znat_Z2N_inj_le'#@#variant 'h4/thm/float/FLOAT_GT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_quot_mul' 'h4/thm/integer/INT_DIV_RMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_1_l'#@#variant 'h4/thm/arithmetic/ZERO_LESS_EQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_factor_l' 'h4/thm/realax/HREAL_LT_ADDL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_add_le_sub_r' 'h4/thm/real/REAL_LT_ADD_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_eq_cases' 'h4/thm/integer/INT_LE_LT_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_ge' 'h4/thm/extreal/extreal_lt_eq_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_0_r' 'h4/thm/integer/INT_DIVIDES_0_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_ge_cases' 'h4/thm/arithmetic/LESS_EQ_CASES_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_even_1' 'h4/thm/ieee/Minus_infinity_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rle_max_compat_l' 'h4/thm/integer/INT_LT_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_le_mono_l' 'h4/thm/real/REAL_LE_LADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_nle_gt' 'h4/thm/HolSmt/r096_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_id' 'h4/thm/gcd/GCD_REF_'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_lor' 'h4/thm/transc/EXP_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_le_compat_r' 'h4/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_le_trans' 'h4/thm/integer/INT_LTE_TRANS_'
0. 'coq/Coq_Reals_R_sqrt_sqrt_lt_1_alt'#@#variant 'h4/thm/extreal/sqrt_mono_le_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lcm_1_l' 'h4/thm/integer/INT_ADD_CALCULATE_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_even_1' 'h4/thm/rat/rat_of_num_def_compute_1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_clearbit_spec_prime'#@#variant 'h4/thm/integer/INT_SUB_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_lt_mono' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_ZArith_BinInt_Z_mul_opp_l' 'h4/thm/frac/FRAC_AINV_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_ngt' 'h4/thm/integer/INT_NOT_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_nonneg_l'#@#variant 'h4/thm/logroot/ROOT_LE_MONO_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_lt_mono_pos_r'#@#variant 'h4/thm/rat/RAT_LES_RMUL_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_nle_gt' 'h4/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_lt_add_r' 'h4/thm/integer/INT_DIVIDES_LMUL_'
0. 'coq/Coq_ZArith_BinInt_Z_shiftr_opp_r' 'h4/thm/real/REAL_SUB_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_opp_l' 'h4/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_refl' 'h4/thm/realax/TREAL_EQ_REFL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lcm_eq_0' 'h4/thm/rat/RAT_NO_ZERODIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_odd_1' 'h4/thm/ieee/Plus_infinity_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_ltb_lt' 'h4/thm/quote/index_lt_def_'
0. 'coq/Coq_ZArith_BinInt_Z_le_succ_diag_r' 'h4/thm/prim_rec/LESS_SUC_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lcm_eq_0' 'h4/thm/rat/RAT_NO_ZERODIV_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_le_compat_r' 'h4/thm/integer/TINT_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_nle_succ_0' 'h4/thm/arithmetic/NOT_SUC_LESS_EQ_0_'
0. 'coq/Coq_QArith_QArith_base_Qplus_le_r' 'h4/thm/arithmetic/LE_ADD_LCANCEL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_l' 'h4/thm/realax/TREAL_LT_ADD_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lnot_0_l' 'h4/thm/HolSmt/r221_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_id' 'h4/thm/prelim/ordering_BIJ_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_succ_l' 'h4/thm/arithmetic/LESS_EQ_'
0. 'coq/Coq_ZArith_Zpower_two_p_correct'#@#variant 'h4/thm/real/REAL_NEG_MINUS1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_null'#@#variant 'h4/thm/intExtension/INT_SGN_CLAUSES_0'#@#variant
0. 'coq/Coq_QArith_Qabs_Qle_Qabs' 'h4/thm/prim_rec/LESS_SUC_SUC_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_sub_lt_add_r' 'h4/thm/arithmetic/SUB_LEFT_LESS_'
0. 'coq/Coq_Arith_Lt_lt_pred' 'h4/thm/bit/TWOEXP_LE_IMP_LE_LOG2_0'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_le_sub_le_add_r' 'h4/thm/arithmetic/SUB_LEFT_GREATER_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sub_add_distr' 'h4/thm/logroot/EXP_MUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_div_0_l' 'h4/thm/integer/INT_MOD0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_succ_l' 'h4/thm/arithmetic/ADD_e1'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_iff' 'h4/thm/toto/cpn2num_11_'
0. 'coq/Coq_NArith_BinNat_N_le_max_l' 'h4/thm/real/REAL_LE_MAX1_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_testbit_of_N' 'h4/thm/toto/qk_numOrd_def_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_pos'#@#variant 'h4/thm/numeral/numeral_distrib_32'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_eq_mul_m1'#@#variant 'h4/thm/arithmetic/ADD1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftr_shiftr' 'h4/thm/arithmetic/SUB_RIGHT_SUB_'
0. 'coq/Coq_Strings_Ascii_ascii_nat_embedding' 'h4/thm/binary_ieee/float_compare_BIJ_0'
0. 'coq/Coq_Arith_Gt_gt_Sn_O' 'h4/thm/transc/ATN_1'#@#variant
0. 'coq/Coq_Bool_Bool_negb_involutive_reverse' 'h4/thm/frac/FRAC_AINV_AINV_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_le_mono_r' 'h4/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_id' 'h4/thm/gcd/GCD_REF_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftr_div_pow2'#@#variant 'h4/thm/complex/complex_div_'#@#variant
0. 'coq/Coq_Reals_RIneq_Req_ge' 'h4/thm/HolSmt/t006_'
0. 'coq/Coq_NArith_BinNat_N_neq_0_succ' 'h4/thm/intto/BIT2_nz_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_nle_gt' 'h4/thm/integer/INT_NOT_LE_'
0. 'coq/Coq_Strings_Ascii_ascii_nat_embedding' 'h4/thm/complex/RE_COMPLEX_OF_REAL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_pos_nonneg'#@#variant 'h4/thm/extreal/lte_add_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_le_ngt' 'h4/thm/integer/int_le_'
0. 'coq/Coq_NArith_BinNat_N_setbit_spec_prime'#@#variant 'h4/thm/frac/frac_div_def_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pred_succ' 'h4/thm/numRing/num_rewrites_tLLRRRR'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_le_mono_l' 'h4/thm/rat/RAT_LES_LADD_'
0. 'coq/Coq_Numbers_BigNumPrelude_Zlt0_not_eq'#@#variant 'h4/thm/intExtension/INT_GT0_IMP_NOT0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_pos_pos' 'h4/thm/arithmetic/LESS_MULT2_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftl_mul_pow2'#@#variant 'h4/thm/complex/COMPLEX_SUB_RNEG_'#@#variant
0. 'coq/Coq_ZArith_Zeven_Zodd_even_bool' 'h4/thm/util_prob/lg_pow_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_rem_opp_l_prime' 'h4/thm/real/REAL_MUL_LNEG_'
0. 'coq/Coq_ZArith_BinInt_Z_lxor_eq_0_iff' 'h4/thm/integer/INT_SUB_0_'#@#variant
0. 'coq/Coq_Init_Peano_le_0_n' 'h4/thm/arithmetic/ZERO_LESS_EQ_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_land_diag' 'h4/thm/real/REAL_MIN_REFL_'
0. 'coq/Coq_NArith_BinNat_N_min_glb_lt' 'h4/thm/divides/DIVIDES_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_max_l' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_le_mono' 'h4/thm/numeral/numeral_lte_3'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_refl' 'h4/thm/realax/TREAL_EQ_REFL_'#@#variant
0. 'coq/Coq_ZArith_Znat_Zabs2N_inj_pos' 'h4/thm/ieee/Sign_'#@#variant
0. 'coq/Coq_Arith_Minus_pred_of_minus'#@#variant 'h4/thm/arithmetic/PRE_SUB1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div_1_r' 'h4/thm/real/REAL_SUB_RZERO_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_pred_l' 'h4/thm/integer/INT_NEG_LMUL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_opp_r' 'h4/thm/integer/INT_DIVIDES_NEG_0'
0. 'coq/Coq_ZArith_BinInt_Z_div_1_r' 'h4/thm/rat/RAT_ADD_RID_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_xO_r' 'h4/thm/extreal/mul_rneg_'
0. 'coq/Coq_ZArith_BinInt_Z_pow_pos_nonneg'#@#variant 'h4/thm/arithmetic/ONE_LT_MULT_IMP_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lnot_lxor_l' 'h4/thm/complex/COMPLEX_NEG_LDIV_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_even_1' 'h4/thm/float/FLOAT_INFINITIES_SIGNED_e1'#@#variant
0. 'coq/Coq_Reals_Rtrigo_calc_Rgt_3PI2_0'#@#variant 'h4/thm/real/REAL_THIRDS_BETWEEN_tLRRL'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_1_l'#@#variant 'h4/thm/arithmetic/ZERO_LESS_EQ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftl_1_l'#@#variant 'h4/thm/HolSmt/r128_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftl_opp_r' 'h4/thm/frac/frac_div_def_'
0. 'coq/Coq_Arith_PeanoNat_Nat_min_glb_lt_iff' 'h4/thm/extreal/le_min_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_inj_wd' 'h4/thm/complex/COMPLEX_INV_INJ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ldiff_ldiff_l' 'h4/thm/arithmetic/EXP_EXP_MULT_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_of_Q' 'h4/thm/string_num/s2n_n2s_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_lt_mono_pos_l'#@#variant 'h4/thm/integer/INT_LT_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_succ_pred_double' 'h4/thm/numRing/num_rewrites_tLRLRR'
0. 'coq/Coq_QArith_Qcanon_canon' 'h4/thm/real/ABS_N_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_id' 'h4/thm/rat/RAT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_pred_r' 'h4/thm/complex/COMPLEX_MUL_RNEG_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pow_le_mono_l' 'h4/thm/arithmetic/LESS_MONO_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_0_sub'#@#variant 'h4/thm/rat/RAT_LES_0SUB_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_lt_cancel' 'h4/thm/arithmetic/LESS_MONO_REV_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_add_lt_sub_r' 'h4/thm/integer/INT_LE_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftl_mul_pow2'#@#variant 'h4/thm/frac/frac_div_def_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_lt' 'h4/thm/real/ABS_BOUNDS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_testbit_even_0'#@#variant 'h4/thm/toto/num_dtOrd_4'
0. 'coq/Coq_QArith_Qcanon_Qcle_lt_trans' 'h4/thm/integer/INT_LET_TRANS_'
0. 'coq/Coq_ZArith_BinInt_Z_log2_null'#@#variant 'h4/thm/intExtension/INT_SGN_CLAUSES_0'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_divide_xO_xO' 'h4/thm/transc/EXP_MONO_LE_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_l2i_i2l'#@#variant 'h4/thm/frac/frac_bij_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_le_iff' 'h4/thm/extreal/min_le_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_double_mul' 'h4/thm/frac/FRAC_AINV_LMUL_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_phi' 'h4/thm/prelim/ordering_BIJ_0'
0. 'coq/Coq_ZArith_BinInt_Z_shiftl_opp_r' 'h4/thm/extreal/sub_rneg_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div_1_r' 'h4/thm/integer/INT_SUB_REDUCE_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_lt_trans' 'h4/thm/real/REAL_LET_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_succ_inj_wd' 'h4/thm/real/REAL_EQ_NEG_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_eq_opp_r' 'h4/thm/real/REAL_NEG_EQ_'
0. 'coq/Coq_Reals_Exp_prop_exp_pos' 'h4/thm/integral/LT_0_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_0_l' 'h4/thm/integer/INT_SUB_REDUCE_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sub_le_mono_r' 'h4/thm/arithmetic/LESS_MONO_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_lt_add_r' 'h4/thm/integer/INT_DIVIDES_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_0_l'#@#variant 'h4/thm/arithmetic/ZERO_MOD_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_nle_gt' 'h4/thm/real/REAL_NOT_LT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_le_mono_nonneg_l'#@#variant 'h4/thm/extreal/le_lmul_imp_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_le_mono_l' 'h4/thm/integer/INT_LT_LADD_'
0. 'coq/Coq_Reals_Rpower_ln_exp' 'h4/thm/numeral/DIV2_BIT1_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_nge' 'h4/thm/integer/int_le_'
0. 'coq/Coq_ZArith_Zorder_Zplus_gt_reg_r' 'h4/thm/arithmetic/LESS_MONO_ADD_INV_'
0. 'coq/Coq_Reals_Raxioms_R1_neq_R0' 'h4/thm/binary_ieee/rounding_distinct_2'
0. 'coq/Coq_ZArith_BinInt_Z_mul_divide_cancel_r' 'h4/thm/int_arith/INT_DIVIDES_LRMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftr_div_pow2'#@#variant 'h4/thm/real/REAL_SUB_RNEG_'
0. 'coq/Coq_Reals_Exp_prop_div2_double'#@#variant 'h4/thm/numpair/invtri_linverse_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_lteq' 'h4/thm/integer/INT_LE_CALCULATE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_lt' 'h4/thm/integer/INT_ABS_LT_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_add_lt_sub_r' 'h4/thm/integer/INT_LE_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_max_l' 'h4/thm/extreal/le_max1_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_double' 'h4/thm/quote/index_size_def_0'#@#variant
0. 'coq/Coq_Reals_RIneq_pos_INR'#@#variant 'h4/thm/integer/INT_POS_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_lub_iff' 'h4/thm/arithmetic/MAX_LE_e1'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_lub_iff' 'h4/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_neq' 'h4/thm/rat/RAT_LES_IMP_NEQ_'
0. 'coq/Coq_ZArith_BinInt_Z_opp_inj_wd' 'h4/thm/DeepSyntax/deep_form_11_2'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_even' 'h4/thm/rat/rat_nmr_def_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_clearbit_spec_prime'#@#variant 'h4/thm/frac/frac_sub_def_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_mod' 'h4/thm/integer/INT_MOD_PLUS_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_1_mul_pos'#@#variant 'h4/thm/real/REAL_LTE_ADD_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_lt_mono_pos_r'#@#variant 'h4/thm/real/REAL_LT_RMUL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_pos_nonneg'#@#variant 'h4/thm/real/REAL_LTE_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_setbit_spec_prime'#@#variant 'h4/thm/complex/complex_div_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lxor_eq_0_iff' 'h4/thm/rat/RAT_EQ_SUB0_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_asymm' 'h4/thm/hreal/HRAT_LT_ANTISYM_'
0. 'coq/Coq_Reals_RIneq_opp_IZR' 'h4/thm/extreal/extreal_exp_def_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_id' 'h4/thm/extreal/max_refl_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_min_l' 'h4/thm/extreal/min_le1_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_nlt_ge' 'h4/thm/rat/RAT_LES_LEQ_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_le_mono' 'h4/thm/numpair/tri_LT_I_'
0. 'coq/Coq_NArith_BinNat_N_lor_diag' 'h4/thm/arithmetic/MIN_IDEM_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_bounded/1'#@#variant 'h4/thm/string/ORD_BOUND_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lxor_nonneg'#@#variant 'h4/thm/arithmetic/EVEN_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_eq_opp_l' 'h4/thm/real/REAL_NEG_EQ_'
0. 'coq/Coq_Arith_PeanoNat_Nat_setbit_spec_prime'#@#variant 'h4/thm/integer/INT_SUB_CALCULATE_'
0. 'coq/Coq_ZArith_BinInt_Z_eq_opp_r' 'h4/thm/integer/INT_NEG_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_succ_l' 'h4/thm/arithmetic/MULT_CLAUSES_4'
0. 'coq/Coq_NArith_BinNat_N_le_add_le_sub_r' 'h4/thm/extreal/lt_sub_imp_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_succ_r' 'h4/thm/complex/COMPLEX_NEG_RMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lcm_1_l' 'h4/thm/HolSmt/r128_'
0. 'coq/Coq_ZArith_BinInt_Z_abs_lt' 'h4/thm/integer/INT_ABS_LT_0'
0. 'coq/Coq_Arith_PeanoNat_Nat_succ_le_mono' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_lub_iff' 'h4/thm/extreal/max_le_'
0. 'coq/Coq_NArith_BinNat_N_add_succ_l' 'h4/thm/arithmetic/PRE_SUB_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_le_compat_r' 'h4/thm/extreal/le_radd_imp_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_1_succ' 'h4/thm/prim_rec/LESS_0_'
0. 'coq/Coq_NArith_BinNat_N_testbit_even_0'#@#variant 'h4/thm/quote/index_compare_def_3'
0. 'coq/Coq_Reals_RIneq_Rgt_asym' 'h4/thm/rat/RAT_LES_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_trichotomy' 'h4/thm/real/REAL_LT_TOTAL_'
0. 'coq/Coq_Numbers_Cyclic_DoubleCyclic_DoubleBase_wwB_wBwB'#@#variant 'h4/thm/integer/INT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_diag' 'h4/thm/real/REAL_MAX_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gt_lt_iff' 'h4/thm/arithmetic/GREATER_DEF_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lxor_m1_r'#@#variant 'h4/thm/arithmetic/DIV2_def_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_pos'#@#variant 'h4/thm/transc/EXP_LT_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_1_l'#@#variant 'h4/thm/integer/INT_SUB_REDUCE_1'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_lt_iff' 'h4/thm/arithmetic/MAX_LE_0'
0. 'coq/Coq_ZArith_BinInt_Z_lxor_eq_0_iff' 'h4/thm/rat/RAT_EQ_SUB0_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_ge_le_iff' 'h4/thm/rat/rat_geq_def_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_nonneg_pos'#@#variant 'h4/thm/extreal/let_add_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_opp_r' 'h4/thm/complex/complex_div_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_succ'#@#variant 'h4/thm/hrat/trat_sucint_e1'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_total' 'h4/thm/arithmetic/LESS_CASES_IMP_'
0. 'coq/Coq_Arith_PeanoNat_Nat_succ_le_mono' 'h4/thm/arithmetic/LESS_EQ_MONO_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_lt_mono' 'h4/thm/numpair/tri_LE_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_le_mono_r' 'h4/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_lt_mono_nonneg'#@#variant 'h4/thm/real/REAL_LE_MUL2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_cancel_l' 'h4/thm/realax/HREAL_EQ_LADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_add_lt_sub_r' 'h4/thm/integer/INT_LE_SUB_LADD_'
0. 'coq/Coq_Numbers_Natural_BigN_Nbasic_plusnS' 'h4/thm/complex/COMPLEX_MUL_RNEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_neq_0_succ' 'h4/thm/intto/BIT2_nz_'
0. 'coq/Coq_ZArith_BinInt_Z_eq_opp_l' 'h4/thm/integer/INT_NEG_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_le' 'h4/thm/real/ABS_BOUNDS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_le_trans' 'h4/thm/integer/INT_LTE_TRANS_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_le_lt_mono' 'h4/thm/real/REAL_LET_ADD2_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_gcd_0_l' 'h4/thm/integer/TINT_ADD_LID_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_divide' 'h4/thm/realax/REAL_ISO_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_le_mono' 'h4/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_max_l' 'h4/thm/real/REAL_LE_MAX1_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_neg_is_nonpos' 'h4/thm/extreal/lt_infty_1'
0. 'coq/Coq_Reals_Rminmax_RHasMinMax_min_l' 'h4/thm/real/REAL_MIN_ALT_0'
0. 'coq/Coq_ZArith_Zdiv_mod_Zmod' 'h4/thm/integer/INT_REM_CALCULATE_0'
0. 'coq/Coq_PArith_BinPos_Pos_succ_lt_mono' 'h4/thm/numpair/tri_LE_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_ngt' 'h4/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_lt_mono_pos_l'#@#variant 'h4/thm/real/REAL_LE_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_lt_mono_l' 'h4/thm/rat/RAT_LES_LADD_'
0. 'coq/Coq_Strings_Ascii_ascii_nat_embedding' 'h4/thm/string/char_BIJ_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_opp_r' 'h4/thm/real/REAL_NEG_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_refl' 'h4/thm/extreal/le_refl_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_involutive' 'h4/thm/frac/FRAC_AINV_AINV_'
0. 'coq/Coq_Reals_Rtrigo_calc_sqrt2_neq_0'#@#variant 'h4/thm/toto/all_cpn_distinct_tLRL'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_1_r' 'h4/thm/real/REAL_ADD_RID_'
0. 'coq/Coq_QArith_Qcanon_Q_apart_0_1'#@#variant 'h4/thm/prelim/ordering_distinct_e2'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_lt_trans' 'h4/thm/extreal/let_trans_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_ge_le_iff' 'h4/thm/rat/rat_gre_def_'
0. 'coq/Coq_Arith_PeanoNat_Nat_succ_inj_wd' 'h4/thm/DeepSyntax/deep_form_11_2'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_nlt_ge' 'h4/thm/HolSmt/r115_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_cancel_l' 'h4/thm/arithmetic/EQ_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_le' 'h4/thm/integer/INT_ABS_LT_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_inj' 'h4/thm/divides/PRIMES_11_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_pos_r'#@#variant 'h4/thm/real/REAL_LT_RDIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mod_same' 'h4/thm/integer/INT_REM_ID_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_mod' 'h4/thm/integer/INT_MOD_PLUS_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_refl' 'h4/thm/hrat/TRAT_EQ_REFL_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lt_trichotomy' 'h4/thm/hreal/HREAL_LT_TOTAL_'
0. 'coq/Coq_NArith_BinNat_N_lt_trichotomy' 'h4/thm/extreal/lt_total_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_succ_le_mono' 'h4/thm/numeral/numeral_lt_3'
0. 'coq/Coq_NArith_BinNat_N_shiftl_1_l'#@#variant 'h4/thm/HolSmt/r128_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qplus_le_r' 'h4/thm/hreal/HRAT_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_neg_neg' 'h4/thm/rat/RAT_LES0_LES0_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_0_r'#@#variant 'h4/thm/numeral/numeral_exp_0'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_lcm_l' 'h4/thm/real/REAL_LE_MAX1_'
0. 'coq/Coq_QArith_QArith_base_Qle_lt_trans' 'h4/thm/rat/RAT_LEQ_LES_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_pos_pos' 'h4/thm/realax/REAL_LT_MUL_'
0. 'coq/Coq_NArith_BinNat_N_lt_eq_cases' 'h4/thm/real/REAL_LE_LT_'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_lt_le' 'h4/thm/string/string_lt_antisym_'#@#variant
0. 'coq/Coq_PArith_Pnat_SuccNat2Pos_inj_iff' 'h4/thm/DeepSyntax/deep_form_11_5'
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_pos_r'#@#variant 'h4/thm/real/REAL_LT_RDIV_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_le_mono_pos_r' 'h4/thm/logroot/EXP_LE_ISO_'
0. 'coq/Coq_PArith_BinPos_Pos_le_max_r' 'h4/thm/extreal/le_max2_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_square' 'h4/thm/quote/index_size_def_1'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_lt_mono_l' 'h4/thm/integer/INT_LT_LADD_'
0. 'coq/Coq_ZArith_BinInt_Z_le_add_le_sub_r' 'h4/thm/integer/INT_LE_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_succ_l' 'h4/thm/real/REAL_MUL_LNEG_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_pred' 'h4/thm/transc/ATN_e2'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_lt_mono_r' 'h4/thm/arithmetic/LESS_EQ_MONO_ADD_EQ_'
0. 'coq/Coq_PArith_BinPos_Pos_add_le_mono_r' 'h4/thm/rat/RAT_LES_RADD_'
0. 'coq/Coq_QArith_Qabs_Qabs_Qle_condition' 'h4/thm/integer/INT_ABS_LT_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div_0_l' 'h4/thm/integer/INT_DIV_0_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_Zabs' 'h4/thm/toto/num_dt_size_def_e2'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_opp_r' 'h4/thm/frac/frac_sub_def_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_neq' 'h4/thm/extreal/lt_imp_ne_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_inj_l' 'h4/thm/integer/INT_EQ_RMUL_IMP_'#@#variant
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_iff' 'h4/thm/string_num/n2s_11_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_add_distr' 'h4/thm/arithmetic/EXP_EXP_MULT_'
0. 'coq/Coq_ZArith_BinInt_Z_abs_le' 'h4/thm/integer/INT_ABS_LT_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_involutive' 'h4/thm/integerRing/int_calculate_12'
0. 'coq/Coq_QArith_QArith_base_Qeq_bool_iff' 'h4/thm/quote/index_lt_def_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_rem_opp_l_prime' 'h4/thm/complex/COMPLEX_NEG_LDIV_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_gcd_0_l' 'h4/thm/extreal/sub_lzero_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_1_l'#@#variant 'h4/thm/arithmetic/ONE_MOD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_eq_mul_1'#@#variant 'h4/thm/gcd/GCD_EQ_0_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_land_lnot_diag' 'h4/thm/integer/INT_ADD_RINV_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_divide_factor_r' 'h4/thm/extreal/le_max2_'
0. 'coq/Coq_ZArith_BinInt_Z_lnot_lxor_r' 'h4/thm/complex/COMPLEX_NEG_RDIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pred_succ' 'h4/thm/string/IMPLODE_EXPLODE_'#@#variant
0. 'coq/Coq_Reals_Raxioms_R1_neq_R0' 'h4/thm/extreal/ne_02_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_le_max_r' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_1'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_le_iff' 'h4/thm/extreal/min_le_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lcm_divide_iff' 'h4/thm/util_prob/MAX_LE_X_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lnot_0_l' 'h4/thm/rat/RAT_SUB_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_lt_mono_l' 'h4/thm/arithmetic/LE_ADD_LCANCEL_'
0. 'coq/Coq_QArith_Qpower_Qpower_pos_positive'#@#variant 'h4/thm/float/REAL_POW_LE_1_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_pred_succ' 'h4/thm/string/EXPLODE_IMPLODE_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_eqb' 'h4/thm/toto/charOrd_'
0. 'coq/Coq_Arith_PeanoNat_Nat_max_id' 'h4/thm/real/REAL_MAX_REFL_'
0. 'coq/Coq_Reals_RIneq_Rge_gt_trans' 'h4/thm/rat/RAT_LEQ_LES_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div_str_pos'#@#variant 'h4/thm/bit/DIV_GT0_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Zpos_eq_iff' 'h4/thm/integer/INT_EQ_CALCULATE_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ldiff_land' 'h4/thm/integer/int_sub_'
0. 'coq/Coq_Reals_RIneq_Rmult_integral' 'h4/thm/extreal/add_not_infty_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ldiff_land' 'h4/thm/complex/COMPLEX_SUB_RNEG_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_pos'#@#variant 'h4/thm/numeral/numeral_distrib_32'
0. 'coq/Coq_Init_Peano_eq_add_S' 'h4/thm/num/INV_SUC_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_antisymm' 'h4/thm/arithmetic/LESS_EQUAL_ANTISYM_'
0. 'coq/Coq_PArith_BinPos_Pos_max_id' 'h4/thm/gcd/GCD_REF_'
0. 'coq/Coq_QArith_Qround_Zdiv_Qdiv' 'h4/thm/rat/rat_mul_def_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lcm_1_l' 'h4/thm/hrat/TRAT_MUL_LID_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lt_succ_diag_r' 'h4/thm/bit/BIT_B_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_sub_l' 'h4/thm/arithmetic/SUB_LESS_EQ_'
0. 'coq/Coq_PArith_BinPos_Pos_min_glb' 'h4/thm/divides/DIVIDES_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_0_l_prime' 'h4/thm/integer/INT_QUOT_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pred_succ' 'h4/thm/prim_rec/PRE_e1'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_refl' 'h4/thm/arithmetic/LESS_EQ_REFL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_eqb' 'h4/thm/toto/qk_numOrd_def_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div_1_r' 'h4/thm/integer/INT_ADD_CALCULATE_1'
0. 'coq/Coq_Classes_Morphisms_subrelation_refl' 'h4/thm/Encode/biprefix_refl_'
0. 'coq/Coq_ZArith_BinInt_Z_abs_0_iff' 'h4/thm/integer/INT_DIV_CALCULATE_3'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_1_r' 'h4/thm/extreal/mul_rzero_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_clearbit_spec_prime'#@#variant 'h4/thm/integer/int_sub_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_lt_mono' 'h4/thm/integer/INT_LE_NEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sub_add_distr' 'h4/thm/arithmetic/SUB_PLUS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div_pos'#@#variant 'h4/thm/arithmetic/ONE_LT_MULT_IMP_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_iff' 'h4/thm/ASCIInumbers/toString_11_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_lt_mono'#@#variant 'h4/thm/integer/INT_LT_MUL2_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_of_Q' 'h4/thm/string_num/n2s_s2n_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_1_l'#@#variant 'h4/thm/integral/LE_0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_mod' 'h4/thm/integer/INT_MOD_SUB_'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_minus_one_neq_zero'#@#variant 'h4/thm/extreal/extreal_distinct_0'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_le_trans' 'h4/thm/arithmetic/LESS_LESS_EQ_TRANS_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_lt' 'h4/thm/string/char_ge_def_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_lt_mono_r_iff'#@#variant 'h4/thm/int_arith/lt_justify_multiplication_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_eq_le_incl' 'h4/thm/HolSmt/t007_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_b2z_div2'#@#variant 'h4/thm/extreal/extreal_sub_def_3'
0. 'coq/Coq_PArith_BinPos_Pos_min_le_compat_r' 'h4/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_succ_l' 'h4/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_shuffle3' 'h4/thm/HolSmt/r220_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_lt_mono' 'h4/thm/transc/EXP_MONO_LT_'
0. 'coq/Coq_QArith_QOrderedType_QOrder_eq_lt' 'h4/thm/rat/RAT_LEQ_LES_TRANS_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_quot_0_l' 'h4/thm/integer/INT_QUOT_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_log2' 'h4/thm/rat/RAT_AINV_CALCULATE_'
0. 'coq/Coq_PArith_BinPos_Pos_mul_lt_mono_r' 'h4/thm/arithmetic/LESS_EQ_MONO_ADD_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_succ_le_mono' 'h4/thm/numeral/numeral_lte_e6'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_1_r' 'h4/thm/integer/INT_ADD_CALCULATE_1'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_ge_le_iff' 'h4/thm/rat/rat_geq_def_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_pos_cancel_r'#@#variant 'h4/thm/real/REAL_LT_RDIV_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_succ_le_mono' 'h4/thm/numeral/numeral_lte_e6'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_nonneg' 'h4/thm/transc/ATN_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_1_l' 'h4/thm/extreal/sub_lzero_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_divide_xO_xO' 'h4/thm/numeral/numeral_distrib_28'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_le_mono' 'h4/thm/bit/TWOEXP_MONO2_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_le_mono_l' 'h4/thm/integer/INT_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_nle_gt' 'h4/thm/real/real_lt_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_irrefl' 'h4/thm/realax/REAL_LT_REFL_'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_E_bits_lt_antirefl' 'h4/thm/extreal/lt_refl_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_nonneg_nonneg' 'h4/thm/realax/REAL_LT_MUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_sub_lt_add_r' 'h4/thm/extreal/le_sub_imp_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_1' 'h4/thm/integer/INT_ADD_REDUCE_2'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_lt_mono_pos_l'#@#variant 'h4/thm/real/REAL_LT_LMUL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_pow_1_r' 'h4/thm/real/REAL_ADD_RID_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_lt_mono_l' 'h4/thm/integer/INT_LE_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_negb_even' 'h4/thm/ratRing/rat_ring_thms_e17'#@#variant
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_int31_specs' 'h4/thm/integerRing/int_ring_thms_0'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_opp_r' 'h4/thm/HolSmt/r131_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_ngt' 'h4/thm/arithmetic/NOT_LESS_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_opp' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRLRRRR'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_pred_succ' 'h4/thm/numeral/numeral_add_0'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sgn_null_iff' 'h4/thm/integer/INT_QUOT_CALCULATE_3'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_refl' 'h4/thm/integer/INT_DIVIDES_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_min_l' 'h4/thm/extreal/min_le1_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_pos_pos' 'h4/thm/integer/TINT_LT_MUL_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_neq_0_lt_0' 'h4/thm/extreal/lt_infty_e6'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_lt_mono_l' 'h4/thm/integer/INT_LT_LADD_'
0. 'coq/Coq_NArith_BinNat_N_sqrt_1' 'h4/thm/real/REAL_NEG_0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_add_pos_r'#@#variant 'h4/thm/extreal/le_addr_imp_'#@#variant
0. 'coq/Coq_Bool_Bool_orb_true_iff' 'h4/thm/real/REAL_ENTIRE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sub_succ' 'h4/thm/complex/COMPLEX_NEG_MUL2_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_testbit' 'h4/thm/toto/qk_numOrd_def_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_eq_cases' 'h4/thm/integer/INT_LE_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_irrefl' 'h4/thm/string/string_lt_nonrefl_'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_lt' 'h4/thm/real/REAL_LT_'
0. 'coq/Coq_ZArith_BinInt_Z_log2_nonneg' 'h4/thm/transc/ATN_BOUNDS_0'#@#variant
0. 'coq/Coq_ZArith_Zlogarithm_log_sup_correct1'#@#variant 'h4/thm/float/twogz_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_eq_0_gt_0_cases'#@#variant 'h4/thm/arithmetic/LESS_0_CASES_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_id' 'h4/thm/gcd/GCD_REF_'
0. 'coq/Coq_PArith_BinPos_Pos_sub_1_r' 'h4/thm/arithmetic/DIV2_def_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_divide_cancel_l' 'h4/thm/integer/INT_DIVIDES_MUL_BOTH_'#@#variant
0. 'coq/Coq_NArith_Ndist_ni_le_total' 'h4/thm/arithmetic/LESS_EQ_CASES_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_le_mono' 'h4/thm/hrat/TRAT_INV_WELLDEFINED_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_sub_le_add_r' 'h4/thm/integer/INT_LT_SUB_LADD_'
0. 'coq/Coq_NArith_BinNat_N_lt_eq_cases' 'h4/thm/extreal/le_lt_'
0. 'coq/Coq_Reals_Rtrigo_calc_Rgt_3PI2_0'#@#variant 'h4/thm/real/REAL_HALF_BETWEEN_1'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_0_sub'#@#variant 'h4/thm/rat/RAT_LES_0SUB_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_add_r'#@#variant 'h4/thm/util_prob/logr_div_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_lt_iff' 'h4/thm/extreal/min_le_'
0. 'coq/Coq_NArith_BinNat_N_add_succ_r' 'h4/thm/integer/INT_NEG_RMUL_'
0. 'coq/Coq_ZArith_Znat_Z2N_inj_pos' 'h4/thm/ieee/Fraction_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_mul_xO_r' 'h4/thm/integer/INT_NEG_RMUL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_add_lt_sub_r' 'h4/thm/arithmetic/SUB_LEFT_LESS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_ngt' 'h4/thm/integer/INT_NOT_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lcm_diag' 'h4/thm/extreal/max_refl_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_lt_mono_l' 'h4/thm/real/REAL_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_pos_pos' 'h4/thm/integer/TINT_LT_MUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_lt_mono_r' 'h4/thm/rat/RAT_LES_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_divide_cancel_l' 'h4/thm/integer/INT_DIVIDES_MUL_BOTH_'#@#variant
0. 'coq/Coq_ZArith_Zlogarithm_log_near_correct1'#@#variant 'h4/thm/float/twogz_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mod_mul' 'h4/thm/integer/INT_REM_COMMON_FACTOR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_1' 'h4/thm/util_prob/ONE_MINUS_HALF_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_div2' 'h4/thm/DeepSyntax/deep_form_size_def_2'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_lt_mono_pos_l'#@#variant 'h4/thm/transc/RPOW_LE_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_mul_le_mono_r' 'h4/thm/arithmetic/LE_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_eq_0_r' 'h4/thm/extreal/add_not_infty_e1'
0. 'coq/Coq_Reals_Exp_prop_exp_plus' 'h4/thm/transc/EXP_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_div_0_l' 'h4/thm/integer/INT_DIV_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_0_r'#@#variant 'h4/thm/numeral/numeral_distrib_11'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_le_mono' 'h4/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_ZArith_Zpower_two_power_nat_S'#@#variant 'h4/thm/rat/RAT_AINV_CALCULATE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div2_spec'#@#variant 'h4/thm/arithmetic/PRE_SUB1_'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_le' 'h4/thm/string/char_ge_def_'
0. 'coq/Coq_QArith_Qreduction_Qred_opp' 'h4/thm/float/REAL_ABS_INV_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_lt_le_mono' 'h4/thm/real/REAL_LTE_ADD2_'
0. 'coq/Coq_NArith_BinNat_N_mul_divide_mono_l' 'h4/thm/realax/REAL_LT_IADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_rem_same' 'h4/thm/integer/INT_REM_ID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_le_mono_r_iff'#@#variant 'h4/thm/arithmetic/EXP_BASE_LT_MONO_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_le_compat_l' 'h4/thm/realax/TREAL_LT_ADD_'#@#variant
0. 'coq/Coq_QArith_QOrderedType_QOrder_eq_le' 'h4/thm/rat/RAT_LEQ_LES_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_succ_lt_mono' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_NArith_BinNat_N_lt_le_incl' 'h4/thm/rat/RAT_LES_IMP_LEQ_'
0. 'coq/Coq_QArith_QArith_base_Qle_lt_trans' 'h4/thm/real/REAL_LET_TRANS_'
0. 'coq/Coq_Reals_Ratan_Ratan_seq_opp' 'h4/thm/real/REAL_POW_INV_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_eq_0' 'h4/thm/arithmetic/MULT_EQ_1_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_lt_mono_pos_r'#@#variant 'h4/thm/intExtension/INT_LT_RMUL_EXP_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_pos_l'#@#variant 'h4/thm/int_arith/lt_justify_multiplication_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_0_l' 'h4/thm/HolSmt/r221_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pos_pred_succ' 'h4/thm/prelim/ordering_BIJ_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_le_mono' 'h4/thm/numeral/numeral_lte_3'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_le_mono' 'h4/thm/real/REAL_POS_MONO_'
0. 'coq/Coq_NArith_Nnat_Nat2N_id' 'h4/thm/ieee/num2roundmode_roundmode2num_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_1_r' 'h4/thm/integer/INT_MUL_RZERO_'
0. 'coq/Coq_Reals_Rtrigo_calc_sqrt2_neq_0'#@#variant 'h4/thm/toto/all_cpn_distinct_tRRL'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_succ_l' 'h4/thm/complex/COMPLEX_NEG_LDIV_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pos_pred_succ' 'h4/thm/patricia_casts/num_to_string_string_to_num_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_nlt_ge' 'h4/thm/arithmetic/NOT_LESS_EQUAL_'
0. 'coq/Coq_ZArith_BinInt_Zsucc_pred' 'h4/thm/numpair/invtri_linverse_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_id' 'h4/thm/extreal/min_refl_'
0. 'coq/Coq_ZArith_BinInt_Z_succ_inj_wd' 'h4/thm/transc/EXP_INJ_'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_minus_one_neq_zero'#@#variant 'h4/thm/toto/all_cpn_distinct_e3'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_le_mono' 'h4/thm/prim_rec/LESS_MONO_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_total' 'h4/thm/string/string_lt_cases_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_le_incl' 'h4/thm/arithmetic/LESS_IMP_LESS_OR_EQ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_lt_mono_l' 'h4/thm/arithmetic/LT_ADD_LCANCEL_'
0. 'coq/Coq_Reals_RIneq_Rinv_l_sym' 'h4/thm/rat/RAT_MUL_LINV_'#@#variant
0. 'coq/Coq_Reals_Rpower_sinh_arcsinh' 'h4/thm/numeral_bit/NUMERAL_iDIV2_2'
0. 'coq/Coq_ZArith_Zpower_two_p_is_exp'#@#variant 'h4/thm/util_prob/lg_mul_'#@#variant
0. 'coq/Coq_NArith_Ndist_ni_le_refl' 'h4/thm/real/REAL_LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_min_l' 'h4/thm/extreal/min_le1_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_cancel_r' 'h4/thm/rat/RAT_EQ_RADD_'
0. 'coq/Coq_Reals_RIneq_Rinv_l_sym' 'h4/thm/real/REAL_MUL_LINV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_le_iff' 'h4/thm/real/REAL_LE_MAX_'
0. 'coq/Coq_Reals_ROrderedType_ROrder_le_refl' 'h4/thm/rat/RAT_EQUIV_REF_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_nonneg_l'#@#variant 'h4/thm/logroot/ROOT_LE_MONO_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_le_mono' 'h4/thm/transc/EXP_MONO_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_add_r' 'h4/thm/transc/RPOW_ADD_'
0. 'coq/Coq_Arith_Mult_mult_le_compat_l' 'h4/thm/realax/TREAL_LT_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_total' 'h4/thm/integer/INT_LT_TOTAL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_Zpos' 'h4/thm/real/REAL_OF_NUM_LE_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_lt_mono_pos_l'#@#variant 'h4/thm/arithmetic/EXP_BASE_LE_MONO_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_pow_lt_mono'#@#variant 'h4/thm/real/REAL_LE_MUL2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_le_compat_l' 'h4/thm/extreal/le_ladd_imp_'
0. 'coq/Coq_Reals_RIneq_cond_pos'#@#variant 'h4/thm/float/twogz_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_inj_wd' 'h4/thm/complex/COMPLEX_INV_INJ_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_le_mono_r' 'h4/thm/hreal/HRAT_LT_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_inj_wd' 'h4/thm/integral/EQ_SUC_'
0. 'coq/Coq_ZArith_Znat_N_nat_Z' 'h4/thm/complex/MODU_NUM_'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_le' 'h4/thm/real/REAL_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_le_compat_r' 'h4/thm/integer/TINT_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_ge_cases' 'h4/thm/arithmetic/LESS_CASES_'
0. 'coq/Coq_ZArith_BinInt_Z_lcm_1_r_nonneg'#@#variant 'h4/thm/transc/RPOW_1_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_pos'#@#variant 'h4/thm/numeral/numeral_distrib_32'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pos_pred_succ' 'h4/thm/ieee/float_tybij_0'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_pred_double_spec' 'h4/thm/numeral/numeral_suc_1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_le_mono' 'h4/thm/transc/EXP_MONO_IMP_'
0. 'coq/Coq_ZArith_BinInt_Z_le_ge_cases' 'h4/thm/integer/INT_LE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftr_div_pow2'#@#variant 'h4/thm/extreal/extreal_sub_add_'
0. 'coq/Coq_ZArith_Znat_Z2Nat_inj_pos' 'h4/thm/rat/rat_sgn_def_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_succ_r' 'h4/thm/frac/FRAC_AINV_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lnot_0_l' 'h4/thm/integer/INT_SUB_REDUCE_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_lt_iff' 'h4/thm/extreal/le_max_'
0. 'coq/Coq_Reals_Rtrigo_calc_Rlt_3PI2_2PI'#@#variant 'h4/thm/real/REAL_THIRDS_BETWEEN_tLRL'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_total' 'h4/thm/integer/INT_LT_TOTAL_'
0. 'coq/Coq_ZArith_Zcompare_Zcompare_succ_compat' 'h4/thm/toto/qk_numeralOrd_6'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_succ_lt_mono' 'h4/thm/numeral/numeral_distrib_22'
0. 'coq/Coq_ZArith_Znat_Z2N_inj_pred' 'h4/thm/extreal/extreal_exp_def_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_le_mono_r_iff'#@#variant 'h4/thm/logroot/LE_EXP_ISO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_le_mono_l' 'h4/thm/real/REAL_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lor_diag' 'h4/thm/extreal/max_refl_'
0. 'coq/Coq_NArith_BinNat_N_shiftl_mul_pow2'#@#variant 'h4/thm/extreal/sub_rneg_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_sub_lt_add_r' 'h4/thm/real/REAL_LT_ADD_SUB_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_nlt_1_r' 'h4/thm/extreal/lt_infty_3'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_total' 'h4/thm/hreal/HRAT_LT_TOTAL_'
0. 'coq/Coq_PArith_BinPos_Pos_max_lub_lt_iff' 'h4/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_lt_add_r' 'h4/thm/integer/INT_DIVIDES_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_diag' 'h4/thm/rat/RAT_SUB_ID_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_gt_lt_iff' 'h4/thm/arithmetic/GREATER_EQ_'
0. 'coq/Coq_Reals_RIneq_cond_pos' 'h4/thm/extreal/lt_infty_0'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_succ_lt_mono' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_inj_wd' 'h4/thm/extreal/eq_neg_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_opp' 'h4/thm/real/ABS_NEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_1_l' 'h4/thm/real/REAL_MUL_LZERO_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_asymm' 'h4/thm/rat/RAT_LES_ANTISYM_'
0. 'coq/Coq_Arith_PeanoNat_Nat_ldiff_ldiff_l' 'h4/thm/arithmetic/SUB_PLUS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_clearbit_spec_prime'#@#variant 'h4/thm/real/real_div_'
0. 'coq/Coq_ZArith_Znat_Z2Nat_inj_le'#@#variant 'h4/thm/float/FLOAT_LE_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_pos_l'#@#variant 'h4/thm/int_arith/lt_justify_multiplication_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_le_iff' 'h4/thm/arithmetic/MIN_LE_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_1' 'h4/thm/real/REAL_ABS_0_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_refl' 'h4/thm/integer/INT_LE_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_succ_diag_r' 'h4/thm/bit/BIT_B_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div2_nonneg'#@#variant 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_le_mono' 'h4/thm/numeral/numeral_distrib_28'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_lcm_l' 'h4/thm/extreal/le_max1_'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_double'#@#variant 'h4/thm/transc/LN_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_le_compat_l' 'h4/thm/real/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_neq' 'h4/thm/rat/RAT_LES_IMP_NEQ_'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_null'#@#variant 'h4/thm/intExtension/INT_SGN_CLAUSES_0'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_Odd_succ' 'h4/thm/numeral/numeral_distrib_21'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_iff' 'h4/thm/binary_ieee/rounding2num_11_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_nle_gt' 'h4/thm/rat/RAT_LES_LEQ_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_lt_mono_pos_l'#@#variant 'h4/thm/transc/RPOW_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_succ_diag_r' 'h4/thm/numpair/tri_le_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_total' 'h4/thm/arithmetic/LESS_LESS_CASES_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_succ_r' 'h4/thm/extreal/mul_rneg_'
0. 'coq/Coq_Reals_RIneq_Ropp_Ropp_IZR' 'h4/thm/extreal/extreal_sqrt_def_0'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_le_compat_l' 'h4/thm/real/REAL_LT_IADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_le_compat_r' 'h4/thm/arithmetic/LESS_MONO_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_pos_nonneg'#@#variant 'h4/thm/integer/INT_LTE_ADD_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lcm_divide_iff' 'h4/thm/extreal/max_le_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div2_neg' 'h4/thm/real/REAL_POS_LE_ZERO_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rlt_irrefl' 'h4/thm/rat/RAT_LES_REF_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gt_lt_iff' 'h4/thm/integer/int_ge_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_add_diag_r' 'h4/thm/arithmetic/LESS_EQ_ADD_'
0. 'coq/Coq_ZArith_BinInt_Z_lcm_1_l' 'h4/thm/extreal/sub_lzero_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_cancel_l' 'h4/thm/real/REAL_EQ_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_0_succ' 'h4/thm/prim_rec/LESS_0_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_le_mono' 'h4/thm/extreal/le_neg_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_le_mono_nonneg_r'#@#variant 'h4/thm/integral/REAL_LE_RMUL1_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_lub_iff' 'h4/thm/extreal/max_le_'
0. 'coq/Coq_ZArith_Zorder_Zgt_irrefl' 'h4/thm/rat/RAT_LES_REF_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_le_mono_l_iff' 'h4/thm/int_arith/INT_DIVIDES_LRMUL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_lt_iff' 'h4/thm/real/REAL_LE_MAX_'
0. 'coq/Coq_NArith_BinNat_N_lt_neq' 'h4/thm/realax/HREAL_LT_NE_'
0. 'coq/Coq_PArith_BinPos_Pos_mul_cancel_r' 'h4/thm/arithmetic/EQ_ADD_RCANCEL_'
0. 'coq/Coq_ZArith_BinInt_Z_divide_Zpos' 'h4/thm/realax/REAL_ISO_EQ_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_cancel_r' 'h4/thm/arithmetic/EQ_ADD_RCANCEL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_le_mono' 'h4/thm/numpair/tri_LT_I_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pow_le_mono_l' 'h4/thm/extreal/le_radd_imp_'
0. 'coq/Coq_ZArith_BinInt_Z_succ_inj_wd' 'h4/thm/quote/index_11_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_le_iff' 'h4/thm/arithmetic/MAX_LE_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_pos_cancel_r'#@#variant 'h4/thm/real/REAL_LT_RDIV_0_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_quot_str_pos'#@#variant 'h4/thm/bit/DIV_GT0_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_1_l' 'h4/thm/util_prob/lg_def_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_invc' 'h4/thm/extreal/extreal_abs_def_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div_1_r' 'h4/thm/integer/INT_ADD_CALCULATE_1'
0. 'coq/Coq_ZArith_BinInt_Z_le_ngt' 'h4/thm/rat/RAT_LES_LEQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_involutive' 'h4/thm/real/REAL_NEG_NEG_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_lt' 'h4/thm/string/char_lt_def_'
0. 'coq/Coq_ZArith_BinInt_Z_divide_factor_l' 'h4/thm/hreal/HRAT_LT_ADDL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_rem_same' 'h4/thm/integer/INT_REM_ID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_le_mono' 'h4/thm/numpair/tri_LT_I_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_1_l'#@#variant 'h4/thm/HolSmt/r129_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_le_compat_r' 'h4/thm/hrat/TRAT_MUL_WELLDEFINED_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_land_diag' 'h4/thm/extreal/max_refl_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_divide_mono_r' 'h4/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Bool_Bool_eqb_negb1' 'h4/thm/real/REAL_ADD_LINV_'#@#variant
0. 'coq/Coq_Arith_Lt_le_lt_n_Sm' 'h4/thm/arithmetic/LESS_EQ_IMP_LESS_SUC_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mod_0_l' 'h4/thm/integer/INT_REM0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_pos'#@#variant 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_ZArith_BinInt_Z_sgn_nonneg'#@#variant 'h4/thm/numeral/numeral_distrib_32'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sub_le_mono_l' 'h4/thm/extreal/le_lsub_imp_'
0. 'coq/Coq_ZArith_BinInt_Z_divide_Zpos' 'h4/thm/real/le_int_0'
0. 'coq/Coq_ZArith_BinInt_Z_clearbit_spec_prime'#@#variant 'h4/thm/integer/int_sub_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_opp' 'h4/thm/DeepSyntax/deep_form_size_def_2'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_lt_mono_l' 'h4/thm/integer/LT_LADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_ones_equiv'#@#variant 'h4/thm/numeral/numeral_suc_1'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_0_discr' 'h4/thm/num/ZERO_REP_DEF_'
0. 'coq/Coq_NArith_BinNat_N_square_spec' 'h4/thm/numeral/iSQR_'
0. 'coq/Coq_Reals_Rtrigo1_COS_bound/0'#@#variant 'h4/thm/integral/LT_0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_sub_r' 'h4/thm/divides/DIVIDES_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_eq_0' 'h4/thm/intExtension/INT_NO_ZERODIV_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_min_glb_iff' 'h4/thm/arithmetic/MIN_LT_e1'
0. 'coq/Coq_Arith_PeanoNat_Nat_ones_equiv'#@#variant 'h4/thm/numeral/numeral_pre_e4'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_le_trans' 'h4/thm/integer/INT_LTE_TRANS_'
0. 'coq/Coq_ZArith_BinInt_Z_add_opp_r' 'h4/thm/complex/complex_div_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_trichotomy' 'h4/thm/real/REAL_LT_TOTAL_'
0. 'coq/Coq_Numbers_Natural_BigN_Nbasic_base_xO'#@#variant 'h4/thm/real/REAL_'#@#variant
0. 'coq/Coq_QArith_Qround_Qceiling_Z' 'h4/thm/toto/cpn_BIJ_0'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_le_lin' 'h4/thm/numpair/invtri_le_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_le_compat_l' 'h4/thm/realax/REAL_LT_IADD_'
0. 'coq/Coq_ZArith_Zeven_Zeven_not_Zodd' 'h4/thm/float/FLOAT_DISTINCT_6'
0. 'coq/Coq_Bool_Bool_eqb_negb2' 'h4/thm/rat/RAT_ADD_RINV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_r' 'h4/thm/arithmetic/LESS_MONO_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_quot_mul' 'h4/thm/real/REAL_DIV_RMUL_'#@#variant
0. 'coq/Coq_Arith_Wf_nat_well_founded_gtof' 'h4/thm/arithmetic/transitive_measure_'
0. 'coq/Coq_QArith_Qminmax_Q_max_lub_iff' 'h4/thm/arithmetic/MAX_LE_e1'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_eq_1_l' 'h4/thm/transc/RPOW_NZ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_trichotomy' 'h4/thm/integer/INT_LT_TOTAL_'
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_Ropp' 'h4/thm/numRing/num_rewrites_tLRRRRRRLRRRR'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_le_trans' 'h4/thm/integer/INT_LTE_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_lt_mono_r' 'h4/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_Init_Peano_le_n_S' 'h4/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_le_mono' 'h4/thm/prim_rec/LESS_MONO_'
0. 'coq/Coq_NArith_BinNat_N_add_succ_l' 'h4/thm/rat/RAT_AINV_LMUL_'
0. 'coq/Coq_Reals_Rbasic_fun_RRle_abs' 'h4/thm/arithmetic/LESS_EQ_SUC_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_max_lt_iff' 'h4/thm/arithmetic/MAX_LE_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_pos_pred' 'h4/thm/numRing/num_ring_thms_e17'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_null_iff' 'h4/thm/integer/INT_ABS_EQ0_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_lt_mono' 'h4/thm/transc/EXP_MONO_LT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lcm_1_l' 'h4/thm/rat/RAT_ADD_LID_'
0. 'coq/Coq_NArith_BinNat_N_add_sub' 'h4/thm/integer/INT_SUB_ADD_'
0. 'coq/Coq_Reals_Rtrigo1_tan_neg' 'h4/thm/complex/COMPLEX_INV_NEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_succ_l' 'h4/thm/integer/INT_NEG_LMUL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_lt_iff' 'h4/thm/real/REAL_MIN_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_neg_neg' 'h4/thm/rat/RAT_LES0_LES0_ADD_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qlt_le_trans' 'h4/thm/rat/RAT_LES_LEQ_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_le_compat_r' 'h4/thm/integer/TINT_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftl_1_l'#@#variant 'h4/thm/rat/RAT_SUB_LID_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_opp_involutive' 'h4/thm/int_bitwise/int_not_not_'
0. 'coq/Coq_ZArith_BinInt_Z_add_opp_r' 'h4/thm/extreal/sub_rneg_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_inj_wd' 'h4/thm/complex/COMPLEX_EQ_NEG_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_min_glb_iff' 'h4/thm/extreal/le_min_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_0_mul_prime'#@#variant 'h4/thm/arithmetic/ZERO_LESS_MULT_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_compare_succ' 'h4/thm/toto/numeralOrd_6'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_ones_equiv'#@#variant 'h4/thm/numeral_bit/NUMERAL_iDIV2_4'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_ltb_lt' 'h4/thm/quote/index_lt_def_'
0. 'coq/Coq_Init_Datatypes_CompOpp_involutive' 'h4/thm/complex/COMPLEX_NEGNEG_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_div2' 'h4/thm/rat/RAT_AINV_CALCULATE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_succ_r' 'h4/thm/complex/COMPLEX_MUL_RNEG_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_eq_0_r' 'h4/thm/intExtension/INT_NOT0_MUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_odd_1' 'h4/thm/float/FLOAT_INFINITIES_SIGNED_e1'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pred_succ' 'h4/thm/transc/LN_EXP_'
0. 'coq/Coq_ZArith_Znat_N2Z_is_nonneg'#@#variant 'h4/thm/complex/MODU_POS_'#@#variant
0. 'coq/Coq_Bool_Bool_orb_false_iff' 'h4/thm/arithmetic/ADD_EQ_0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_pos_r'#@#variant 'h4/thm/intExtension/INT_GT_RMUL_EXP_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_ge_le_iff' 'h4/thm/arithmetic/GREATER_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_opp_r' 'h4/thm/integer/int_sub_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_lt_mono'#@#variant 'h4/thm/integer/INT_LT_MUL2_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_ldiff_diag' 'h4/thm/integer/INT_SUB_REFL_'#@#variant
0. 'coq/Coq_Reals_Rfunctions_tech_pow_Rmult' 'h4/thm/integer/int_exp_e1'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_lt_mono_pos_l'#@#variant 'h4/thm/int_arith/justify_divides_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_le_mono' 'h4/thm/prim_rec/LESS_MONO_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_le' 'h4/thm/string/char_lt_def_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_succ_le_mono' 'h4/thm/integerRing/int_rewrites_tRRRRRRLRRRR'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_pred_l' 'h4/thm/rat/RAT_AINV_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_lt_mono_pos_l'#@#variant 'h4/thm/logroot/LE_EXP_ISO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_lxor_l' 'h4/thm/arithmetic/ADD_e1'
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_r' 'h4/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_sub_r' 'h4/thm/divides/DIVIDES_ADD_1_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_Zpos' 'h4/thm/real/REAL_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_sub_le_add_r' 'h4/thm/real/REAL_LE_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_id' 'h4/thm/arithmetic/MIN_IDEM_'
0. 'coq/Coq_Reals_ROrderedType_ROrder_lt_irrefl' 'h4/thm/real/REAL_LT_REFL_'
0. 'coq/Coq_Reals_RIneq_Ropp_mult_distr_l' 'h4/thm/real/REAL_MUL_LNEG_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_m1_0' 'h4/thm/extreal/thirds_between_tRLL'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_lcm_l' 'h4/thm/arithmetic/LESS_EQ_ADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_0_succ' 'h4/thm/divides/ZERO_LT_PRIMES_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pred_0' 'h4/thm/realax/TREAL_INV_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_asymm' 'h4/thm/realax/HREAL_LT_GT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_pow' 'h4/thm/frac/FRAC_AINV_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_m1_0'#@#variant 'h4/thm/extreal/lt_infty_2'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_nonneg' 'h4/thm/arithmetic/FACT_LESS_'
0. 'coq/Coq_NArith_BinNat_N_mul_nonneg_nonneg' 'h4/thm/integer/TINT_LT_MUL_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_land_diag' 'h4/thm/extreal/max_refl_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_refl' 'h4/thm/poly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_lnot_diag'#@#variant 'h4/thm/rat/RAT_ADD_RINV_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_negb_even' 'h4/thm/frac/frac_sgn_def_'
0. 'coq/Coq_Reals_Rtrigo_calc_Rlt_sqrt3_0'#@#variant 'h4/thm/real/REAL_HALF_BETWEEN_tLL'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_le_mono' 'h4/thm/integer/TINT_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_div_str_pos'#@#variant 'h4/thm/bit/DIV_GT0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_lor' 'h4/thm/complex/COMPLEX_EXP_SUB_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_pow_succ_r' 'h4/thm/arithmetic/MULT_CLAUSES_e5'
0. 'coq/Coq_QArith_Qabs_Qabs_wd' 'h4/thm/bit/TWOEXP_MONO_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_div2_div'#@#variant 'h4/thm/arithmetic/DIV2_def_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_gt_lt_iff' 'h4/thm/integer/int_gt_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lnot_ones' 'h4/thm/rat/RAT_ADD_LINV_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qeq_refl' 'h4/thm/arithmetic/LESS_EQ_REFL_'
0. 'coq/Coq_Reals_R_sqr_Rsqr_abs' 'h4/thm/numeral/numeral_add_12'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_le_succ_diag_r' 'h4/thm/bit/BIT_B_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_mul_1_l' 'h4/thm/integer/TINT_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_nonneg_nonneg' 'h4/thm/realax/TREAL_LT_MUL_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_lt_mono_pos_l'#@#variant 'h4/thm/logroot/LE_EXP_ISO_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_pos_neg'#@#variant 'h4/thm/extreal/mul_lte_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sub_succ' 'h4/thm/arithmetic/SUB_MONO_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_opp_l' 'h4/thm/arithmetic/ADD_CLAUSES_2'
0. 'coq/Coq_fourier_Fourier_util_Rlt_zero_pos_plus1'#@#variant 'h4/thm/extreal/sqrt_pos_lt_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_sub_diag' 'h4/thm/arithmetic/ABS_DIFF_EQS_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lor_diag' 'h4/thm/real/REAL_MAX_REFL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_1' 'h4/thm/real/REAL_ABS_0_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_le_compat_r' 'h4/thm/extreal/le_radd_imp_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_le_lt_mono' 'h4/thm/real/REAL_LET_ADD2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_sub_le_add_r' 'h4/thm/integer/INT_LT_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_alt_dichotomy' 'h4/thm/real/REAL_LE_TOTAL_'
0. 'coq/Coq_ZArith_Znat_Zabs2N_id' 'h4/thm/ASCIInumbers/toNum_toString_'#@#variant
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_incr' 'h4/thm/quote/index_size_def_1'#@#variant
0. 'coq/Coq_NArith_BinNat_N_gcd_greatest' 'h4/thm/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_min_le_compat_l' 'h4/thm/real/REAL_LT_IADD_'
0. 'coq/Coq_QArith_Qminmax_Q_max_lub_iff' 'h4/thm/extreal/max_le_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_lt_mono_l' 'h4/thm/integer/INT_LE_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_id' 'h4/thm/arithmetic/MIN_IDEM_'
0. 'coq/Coq_Reals_ROrderedType_ROrder_le_refl' 'h4/thm/real/REAL_LE_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z2Pos_inj_sqrt' 'h4/thm/extreal/extreal_inv_def_e2'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_add_le_sub_r' 'h4/thm/extreal/lt_sub_imp_'
0. 'coq/Coq_Arith_PeanoNat_Nat_succ_lt_mono' 'h4/thm/numeral/numeral_lte_e6'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_quot_le_mono'#@#variant 'h4/thm/arithmetic/DIV_LE_MONOTONE_'#@#variant
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_iff' 'h4/thm/toto/cpn_EQ_cpn_'
0. 'coq/Coq_ZArith_BinInt_Z_log2_lor'#@#variant 'h4/thm/util_prob/lg_mul_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_sub_distr' 'h4/thm/real/REAL_SUB_LNEG_'
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_add_le' 'h4/thm/real/REAL_ABS_TRIANGLE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_sub_le_add_r' 'h4/thm/real/REAL_LT_ADD_SUB_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_succ_le_mono' 'h4/thm/transc/EXP_MONO_LT_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_sqrt' 'h4/thm/complex/COMPLEX_OF_REAL_INV_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_succ_r' 'h4/thm/float/LT_SUC_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_le_mono_l' 'h4/thm/integer/INT_LE_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_pred_l' 'h4/thm/arithmetic/ADD_e1'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_le_mono_l' 'h4/thm/arithmetic/LESS_MONO_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_lt_mono' 'h4/thm/numpair/tri_LE_'
0. 'coq/Coq_ZArith_Znat_nat_N_Z' 'h4/thm/ieee/Exponent_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_iff' 'h4/thm/complex/COMPLEX_OF_NUM_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_asymm' 'h4/thm/string/string_lt_antisym_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sgn_opp' 'h4/thm/numeral_bit/iDUB_NUMERAL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_le_compat_r' 'h4/thm/integer/TINT_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_land_diag' 'h4/thm/extreal/max_refl_'
0. 'coq/Coq_ZArith_BinInt_Z_min_le_compat_r' 'h4/thm/arithmetic/LESS_MONO_MULT_'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_div2' 'h4/thm/extreal/extreal_inv_def_e2'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_0_l' 'h4/thm/integer/INT_DIVIDES_1_0'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_lt_iff' 'h4/thm/real/REAL_LE_MAX_'
0. 'coq/Coq_QArith_Qabs_Qle_Qabs' 'h4/thm/real/REAL_POS_INFLATE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_ngt' 'h4/thm/arithmetic/NOT_LESS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_double'#@#variant 'h4/thm/transc/LN_INV_'#@#variant
0. 'coq/Coq_Reals_Ratan_Ratan_seq_opp' 'h4/thm/float/REAL_ABS_POW_'
0. 'coq/Coq_ZArith_BinInt_Z_lnot_involutive' 'h4/thm/rat/RAT_AINV_AINV_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_le_mono' 'h4/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_le_mono_pos_l'#@#variant 'h4/thm/logroot/LT_EXP_ISO_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qplus_inj_r' 'h4/thm/arithmetic/LT_ADD_RCANCEL_'
0. 'coq/Coq_Reals_RList_RList_P1' 'h4/thm/integral/REAL_POW_LE_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_le_compat_l' 'h4/thm/realax/TREAL_LT_ADD_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_iff' 'h4/thm/ASCIInumbers/toString_inj_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_le_0_l'#@#variant 'h4/thm/integral/LE_0_'#@#variant
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_bounded/0'#@#variant 'h4/thm/frac/FRAC_DNMPOS_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_even' 'h4/thm/realax/real_of_hreal_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_lt_mono_pos_r' 'h4/thm/logroot/EXP_LT_ISO_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_min_distr' 'h4/thm/transc/EXP_SUB_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_testbit_even_0'#@#variant 'h4/thm/toto/qk_numeralOrd_4'
0. 'coq/Coq_ZArith_BinInt_Z_testbit_even_0'#@#variant 'h4/thm/quote/index_compare_def_4'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_le_mono_r_iff'#@#variant 'h4/thm/real/REAL_LT_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div_0_l' 'h4/thm/integer/INT_MOD0_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_neq' 'h4/thm/rat/RAT_LES_IMP_NEQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_square_spec' 'h4/thm/HolSmt/r216_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div2_succ_double' 'h4/thm/transc/ATN_e2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_negb_odd' 'h4/thm/frac/frac_sgn_def_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mod_1_r'#@#variant 'h4/thm/arithmetic/MOD_1_'#@#variant
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_succ' 'h4/thm/complex/COMPLEX_OF_REAL_NEG_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_max_id' 'h4/thm/gcd/GCD_REF_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_inj' 'h4/thm/num/INV_SUC_'
0. 'coq/Coq_QArith_Qcanon_Q_apart_0_1'#@#variant 'h4/thm/binary_ieee/float_compare_distinct_4'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_sub_distr' 'h4/thm/frac/FRAC_SUB_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_max_l' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_0'
0. 'coq/Coq_ZArith_BinInt_Zsucc_pred' 'h4/thm/numeral_bit/NUMERAL_iDIV2_2'
0. 'coq/Coq_ZArith_BinInt_Z_le_0_sub' 'h4/thm/arithmetic/SUB_LESS_0_'
0. 'coq/Coq_NArith_BinNat_N_succ_inj' 'h4/thm/num/INV_SUC_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_gt_lin_r'#@#variant 'h4/thm/arithmetic/X_LT_EXP_X_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_l' 'h4/thm/realax/TREAL_LT_ADD_'#@#variant
0. 'coq/Coq_Reals_Rsqrt_def_Rsqrt_positivity'#@#variant 'h4/thm/float/twogz_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_nlt' 'h4/thm/extreal/extreal_lt_def_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mod_1_r'#@#variant 'h4/thm/numeral/numeral_distrib_11'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftl_opp_r' 'h4/thm/rat/RAT_SUB_ADDAINV_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_pos_pos' 'h4/thm/integer/TINT_LT_MUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_inj_wd' 'h4/thm/complex/CONJ_EQ2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftl_mul_pow2'#@#variant 'h4/thm/integer/INT_SUB_CALCULATE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_nge' 'h4/thm/real/REAL_NOT_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_add_lt_sub_r' 'h4/thm/real/REAL_LT_SUB_LADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_neq_0_succ' 'h4/thm/bit/TWOEXP_NOT_ZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_1_l' 'h4/thm/rat/RAT_MUL_LZERO_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ldiff_m1_r'#@#variant 'h4/thm/arithmetic/MOD_ONE_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_le_refl' 'h4/thm/poly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_le_compat_r' 'h4/thm/extreal/le_radd_imp_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gt_lt_iff' 'h4/thm/string/string_gt_def_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_ge_le_iff' 'h4/thm/arithmetic/GREATER_EQ_'
0. 'coq/Coq_Arith_PeanoNat_Nat_testbit_even_0'#@#variant 'h4/thm/quote/index_compare_def_3'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_Zlnot_alt2'#@#variant 'h4/thm/numeral_bit/iLOG2_def_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lnot_0_l' 'h4/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_assoc' 'h4/thm/hrat/TRAT_ADD_ASSOC_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_succ_lt_mono' 'h4/thm/numeral/numeral_lt_3'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_irrefl' 'h4/thm/extreal/lt_refl_'
0. 'coq/Coq_Reals_Rminmax_R_max_lub_iff' 'h4/thm/arithmetic/MAX_LE_e1'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_le_mono' 'h4/thm/bit/TWOEXP_MONO2_'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_one_neq_zero' 'h4/thm/binary_ieee/rounding_distinct_e5'
0. 'coq/Coq_Init_Datatypes_CompOpp_involutive' 'h4/thm/real/REAL_INV_INV_'
0. 'coq/Coq_ZArith_Znumtheory_Zgcd_is_gcd' 'h4/thm/gcd/GCD_IS_GCD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_0_sub'#@#variant 'h4/thm/integer/INT_SUB_LE_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_negb_even' 'h4/thm/integerRing/int_ring_thms_e17'#@#variant
0. 'coq/Coq_ZArith_Zeven_Zeven_plus_Zodd' 'h4/thm/real/REAL_LET_ADD_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_lt_mono_r' 'h4/thm/arithmetic/LT_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_nonneg' 'h4/thm/integral/LT_0_'
0. 'coq/Coq_Arith_Compare_dec_not_eq' 'h4/thm/real/REAL_LT_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_le_compat_l' 'h4/thm/integer/TINT_LT_ADD_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lor_diag' 'h4/thm/extreal/min_refl_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_le_lt_mono' 'h4/thm/real/REAL_LET_ADD2_'
0. 'coq/Coq_NArith_BinNat_N_lt_asymm' 'h4/thm/realax/HREAL_LT_GT_'
0. 'coq/Coq_NArith_BinNat_N_sub_le_mono_r' 'h4/thm/integer/TINT_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_le_mono_r' 'h4/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_add_le' 'h4/thm/real/REAL_ABS_TRIANGLE_'
0. 'coq/Coq_ZArith_BinInt_Z_lor_nonneg' 'h4/thm/arithmetic/ZERO_LESS_MULT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_nlt_ge' 'h4/thm/arithmetic/NOT_LESS_EQUAL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_le_compat_l' 'h4/thm/realax/REAL_LT_IADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_lub_lt' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_e2'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_lt_le_mono' 'h4/thm/real/REAL_LTE_ADD2_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_id' 'h4/thm/ASCIInumbers/toString_toNum_cancel_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qmult_assoc' 'h4/thm/hrat/TRAT_MUL_ASSOC_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_cancel_l' 'h4/thm/complex/COMPLEX_EQ_LADD_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_of_Qc' 'h4/thm/ieee/num2ccode_ccode2num_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_succ_diag_r' 'h4/thm/bit/BIT_B_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_1_r' 'h4/thm/extreal/sub_rzero_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_sub_diag_r' 'h4/thm/gcd/GCD_ADD_R_THM_e1'
0. 'coq/Coq_ZArith_BinInt_Zplus_succ_r_reverse' 'h4/thm/complex/COMPLEX_NEG_RDIV_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_divide_mono_l' 'h4/thm/integer/TINT_LT_ADD_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_divide_xO_xO' 'h4/thm/integerRing/int_rewrites_tLRRRRLRRR'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_irrefl' 'h4/thm/rat/RAT_LES_REF_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_opp_r' 'h4/thm/frac/frac_div_def_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_cancel_l' 'h4/thm/real/REAL_EQ_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_opp_r' 'h4/thm/rat/RAT_DIV_MULMINV_'
0. 'coq/Coq_ZArith_BinInt_Z_opp_pred' 'h4/thm/numeral/numeral_suc_e2'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_square_spec' 'h4/thm/numeral/iSQR_'
0. 'coq/Coq_Arith_PeanoNat_Nat_succ_inj_wd' 'h4/thm/toto/num_dt_11_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_1_r'#@#variant 'h4/thm/arithmetic/PRE_SUB1_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_lt_mono_pos_r'#@#variant 'h4/thm/real/REAL_LT_RDIV_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_nonneg_l'#@#variant 'h4/thm/arithmetic/EXP_BASE_LEQ_MONO_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_nonneg_nonneg' 'h4/thm/integer/INT_LT_MUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_0_l_prime' 'h4/thm/integer/INT_DIV_0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_lt_mono' 'h4/thm/real/REAL_LT_NEG_'
0. 'coq/Coq_Reals_RIneq_Rle_or_lt' 'h4/thm/integer/INT_LET_TOTAL_'
0. 'coq/Coq_PArith_BinPos_Pos_divide_xO_xO' 'h4/thm/numpair/tri_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_succ_diag_r' 'h4/thm/prim_rec/LESS_SUC_SUC_0'
0. 'coq/Coq_QArith_Qabs_Qabs_Qle_condition' 'h4/thm/integer/INT_ABS_LE_0'
0. 'coq/Coq_ZArith_Zpow_facts_Zpower_pos_1_r' 'h4/thm/real/POW_1_'#@#variant
0. 'coq/Coq_Bool_Bool_orb_negb_r' 'h4/thm/real/REAL_ADD_RINV_'#@#variant
0. 'coq/Coq_PArith_Pnat_Nat2Pos_inj_pred' 'h4/thm/extreal/extreal_inv_def_e2'
0. 'coq/Coq_ZArith_Zquot_Z_quot_pos' 'h4/thm/binary_ieee/le2_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_quot_0_l' 'h4/thm/integer/INT_DIV_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_le_mono' 'h4/thm/numeral/numeral_distrib_28'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_ngt' 'h4/thm/integer/INT_NOT_LE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_nonneg_nonpos'#@#variant 'h4/thm/extreal/mul_lt_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ldiff_m1_l'#@#variant 'h4/thm/extreal/sub_lzero_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_inj_wd' 'h4/thm/toto/num_dt_11_0'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_total' 'h4/thm/realax/REAL_LT_TOTAL_'
0. 'coq/Coq_QArith_Qround_Qfloor_Z' 'h4/thm/extreal/real_normal_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_1_l'#@#variant 'h4/thm/extreal/le_infty_tLL'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_0_discr' 'h4/thm/intto/BIT2_nz_'
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_factor_l' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_le_mono_l' 'h4/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qlt_le_weak' 'h4/thm/arithmetic/LESS_IMP_LESS_OR_EQ_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_lt_succ' 'h4/thm/prim_rec/LESS_SUC_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_neq_0_succ' 'h4/thm/num/ZERO_REP_DEF_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lxor_nilpotent' 'h4/thm/arithmetic/SUB_EQUAL_0_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_succ_not_1' 'h4/thm/quote/index_distinct_1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_pow' 'h4/thm/real/REAL_MUL_LNEG_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_1_r' 'h4/thm/extreal/add_rzero_'
0. 'coq/Coq_Arith_Gt_gt_asym' 'h4/thm/real/REAL_LT_GT_'
0. 'coq/Coq_ZArith_Zdiv_Z_mod_same_full' 'h4/thm/arithmetic/SUB_EQUAL_0_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_compare_succ' 'h4/thm/toto/qk_numeralOrd_5'
0. 'coq/Coq_Reals_RIneq_Ropp_mult_distr_l' 'h4/thm/arithmetic/ADD_CLAUSES_2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_lt_cancel' 'h4/thm/arithmetic/LESS_MONO_REV_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_ge_cases' 'h4/thm/real/REAL_LET_TOTAL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_min_glb_lt_iff' 'h4/thm/arithmetic/MIN_LT_e1'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_eq_le_incl' 'h4/thm/real/REAL_EQ_IMP_LE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_ldiff_diag' 'h4/thm/rat/RAT_SUB_ID_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_divide_refl' 'h4/thm/real/REAL_LE_REFL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_lt_mono' 'h4/thm/numpair/tri_LT_'
0. 'coq/Coq_Init_Datatypes_CompOpp_involutive' 'h4/thm/extreal/neg_neg_'
0. 'coq/Coq_NArith_BinNat_N_min_glb_lt_iff' 'h4/thm/arithmetic/MIN_LT_e1'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_factor_l' 'h4/thm/arithmetic/LESS_EQ_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_le_mono_l' 'h4/thm/rat/RAT_LES_LADD_'
0. 'coq/Coq_NArith_BinNat_N_le_max_l' 'h4/thm/realax/HREAL_LT_ADDL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_double_mul' 'h4/thm/arithmetic/ADD_e1'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftl_shiftl' 'h4/thm/frac/FRAC_SUB_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div2_double' 'h4/thm/numpair/invtri_linverse_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_le_mono' 'h4/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pow_lt_mono_r_iff'#@#variant 'h4/thm/integer/INT_LE_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_setbit_spec_prime'#@#variant 'h4/thm/integer/INT_SUB_RNEG_'
0. 'coq/Coq_NArith_BinNat_N_pow_1_r' 'h4/thm/integer/INT_SUB_REDUCE_0'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_div2' 'h4/thm/quote/index_size_def_1'#@#variant
0. 'coq/Coq_Reals_ROrderedType_R_as_OT_le_lteq' 'h4/thm/rat/rat_leq_def_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_nge' 'h4/thm/real/REAL_NOT_LT_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_add_le' 'h4/thm/real/REAL_ABS_TRIANGLE_'
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_pos_l'#@#variant 'h4/thm/rat/RAT_LES_LMUL_POS_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_factor_l' 'h4/thm/hreal/HRAT_LT_ADDL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_nonneg_r'#@#variant 'h4/thm/extreal/le_rmul_imp_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_mul_lt_mono_r' 'h4/thm/hreal/HRAT_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_le_mono' 'h4/thm/numpair/tri_LT_I_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_lt' 'h4/thm/extreal/abs_bounds_lt_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_abs' 'h4/thm/DeepSyntax/deep_form_size_def_2'#@#variant
0. 'coq/Coq_Reals_Ratan_Datan_seq_pos'#@#variant 'h4/thm/extreal/pow_pos_le_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_pos_pos' 'h4/thm/integer/INT_LT_MUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_mod' 'h4/thm/integer/INT_MOD_SUB_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_refl' 'h4/thm/rat/RAT_LEQ_REF_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_ltb_lt' 'h4/thm/quote/index_lt_def_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lor_eq_0_iff' 'h4/thm/arithmetic/ADD_EQ_0_'
0. 'coq/Coq_NArith_BinNat_N_lt_add_lt_sub_r' 'h4/thm/real/REAL_LE_SUB_RADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_pos_nonneg'#@#variant 'h4/thm/extreal/let_mul_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_divide/1' 'h4/thm/extreal/min_le2_'
0. 'coq/Coq_ZArith_BinInt_Z_opp_nonneg_nonpos'#@#variant 'h4/thm/integer/INT_NEG_GT0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_1_l' 'h4/thm/rat/RAT_ADD_LID_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_r' 'h4/thm/arithmetic/LESS_MONO_MULT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_eq_mul_0' 'h4/thm/integer/INT_ENTIRE_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_divide_refl' 'h4/thm/divides/DIVIDES_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_add_le' 'h4/thm/real/REAL_ABS_TRIANGLE_'
0. 'coq/Coq_PArith_BinPos_Pos_mul_le_mono_l' 'h4/thm/arithmetic/LE_ADD_LCANCEL_'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_succ' 'h4/thm/extreal/extreal_exp_def_0'
0. 'coq/Coq_Reals_RIneq_Rinv_involutive' 'h4/thm/real/REAL_INVINV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_add_cancel_r' 'h4/thm/divides/DIVIDES_ADD_2_'
0. 'coq/Coq_QArith_QOrderedType_QOrder_lt_le_trans' 'h4/thm/rat/RAT_LES_LEQ_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_succ_l' 'h4/thm/arithmetic/MULT_e1'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_gt' 'h4/thm/string/char_ge_def_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_square_nonneg'#@#variant 'h4/thm/integer/INT_LE_SQUARE_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_lt_total' 'h4/thm/arithmetic/LESS_CASES_IMP_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_le_mono' 'h4/thm/bit/TWOEXP_MONO2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_sub_r' 'h4/thm/divides/DIVIDES_SUB_'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_iff' 'h4/thm/integer/INT_MOD_CALCULATE_3'
0. 'coq/Coq_PArith_Pnat_SuccNat2Pos_inj_iff' 'h4/thm/rat/RAT_EQ_NUM_CALCULATE_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftr_div_pow2'#@#variant 'h4/thm/frac/frac_sub_def_'
0. 'coq/Coq_Arith_Even_even_mult_aux/1' 'h4/thm/arithmetic/EVEN_MULT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_pred_l' 'h4/thm/complex/COMPLEX_NEG_LDIV_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sub_min_distr_l' 'h4/thm/transc/RPOW_ADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_succ_diag_r' 'h4/thm/prim_rec/LESS_SUC_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_diag' 'h4/thm/real/REAL_MIN_REFL_'
0. 'coq/Coq_Init_Datatypes_CompOpp_inj' 'h4/thm/divides/PRIMES_11_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_le_mono' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_total' 'h4/thm/hreal/HREAL_LT_TOTAL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_double_spec'#@#variant 'h4/thm/arithmetic/SUC_ONE_ADD_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_lt_mono_r_iff'#@#variant 'h4/thm/real/REAL_LT_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_div2_double'#@#variant 'h4/thm/string/IMPLODE_EXPLODE_'#@#variant
0. 'coq/Coq_fourier_Fourier_util_Rlt_zero_1' 'h4/thm/transc/PI2_BOUNDS_e1'#@#variant
0. 'coq/Coq_ZArith_Zgcd_alt_fibonacci_pos'#@#variant 'h4/thm/float/twogz_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pos_pred_succ' 'h4/thm/binary_ieee/num2float_compare_float_compare2num_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_eq_cases' 'h4/thm/arithmetic/GREATER_OR_EQ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_le_mono_nonneg_r'#@#variant 'h4/thm/real/REAL_LE_RMUL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_cancel_l' 'h4/thm/rat/RAT_EQ_LADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_add_diag_r' 'h4/thm/extreal/le_max1_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_quot_pos'#@#variant 'h4/thm/extreal/let_mul_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_w2_spec' 'h4/thm/numRing/num_semi_ring_'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qcle_not_lt' 'h4/thm/real/REAL_LTE_ANTSYM_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_gt_cases' 'h4/thm/real/REAL_LTE_TOTAL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_pos'#@#variant 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_pos'#@#variant 'h4/thm/numeral/numeral_distrib_33'
0. 'coq/Coq_Reals_RIneq_Rplus_le_compat_r' 'h4/thm/arithmetic/LESS_MONO_ADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_pos_nonneg'#@#variant 'h4/thm/arithmetic/ONE_LT_MULT_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_lt_mono_r_iff'#@#variant 'h4/thm/transc/RPOW_LE_'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qcmult_inv_l'#@#variant 'h4/thm/rat/RAT_MUL_LINV_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_div2' 'h4/thm/rat/RAT_AINV_CALCULATE_'
0. 'coq/Coq_NArith_BinNat_N_lt_nge' 'h4/thm/integer/INT_NOT_LT_'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_succ' 'h4/thm/rat/RAT_AINV_CALCULATE_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_le_compat_l' 'h4/thm/real/REAL_LT_IADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_pred' 'h4/thm/bit/LOG2_TWOEXP_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qle_not_lt' 'h4/thm/integer/INT_LET_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_0_sub'#@#variant 'h4/thm/real/REAL_SUB_LE_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_ge_le_iff' 'h4/thm/real/real_gt_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_lt_mono_pos_l'#@#variant 'h4/thm/logroot/LT_EXP_ISO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_nonneg'#@#variant 'h4/thm/integer/INT_NEG_GT0_'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_gt' 'h4/thm/real/REAL_LT_'
0. 'coq/Coq_ZArith_Zeven_Zodd_plus_Zeven' 'h4/thm/util_prob/REAL_LE_LT_MUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_wf_0' 'h4/thm/arithmetic/transitive_LESS_'
0. 'coq/Coq_ZArith_Znat_Z2N_inj_lt'#@#variant 'h4/thm/float/FLOAT_GE_'
0. 'coq/Coq_Strings_Ascii_ascii_N_embedding' 'h4/thm/prelim/num2ordering_ordering2num_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_max_l' 'h4/thm/realax/HREAL_LT_ADDL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_inj_wd' 'h4/thm/prim_rec/INV_SUC_EQ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_even_1' 'h4/thm/float/FLOAT_INFINITIES_SIGNED_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftl_mul_pow2'#@#variant 'h4/thm/complex/complex_div_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_move_r' 'h4/thm/rat/RAT_RSUB_EQ_'
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_r' 'h4/thm/hrat/TRAT_ADD_WELLDEFINED_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_null'#@#variant 'h4/thm/intExtension/INT_SGN_CLAUSES_e2'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_glb_lt_iff' 'h4/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lxor_nilpotent' 'h4/thm/arithmetic/SUB_EQUAL_0_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_le_mono' 'h4/thm/prim_rec/LESS_MONO_'
0. 'coq/Coq_ZArith_Zorder_not_Zeq' 'h4/thm/arithmetic/LESS_CASES_IMP_'
0. 'coq/Coq_Bool_Bool_xorb_true_l' 'h4/thm/HolSmt/r128_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pos_pred_succ' 'h4/thm/binary_ieee/float_compare_BIJ_0'
0. 'coq/Coq_NArith_BinNat_N_shiftl_mul_pow2'#@#variant 'h4/thm/rat/RAT_SUB_ADDAINV_'
0. 'coq/Coq_ZArith_BinInt_Z_max_le_compat_r' 'h4/thm/integer/TINT_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_lt_cancel' 'h4/thm/arithmetic/LESS_MONO_REV_'
0. 'coq/Coq_Arith_Compare_dec_not_eq' 'h4/thm/hreal/HRAT_LT_TOTAL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_divide_mono_l' 'h4/thm/extreal/le_ladd_imp_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_succ' 'h4/thm/transc/LN_EXP_'
0. 'coq/Coq_Reals_Exp_prop_exp_pos_pos'#@#variant 'h4/thm/transc/SQRT_POS_LT_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_divide' 'h4/thm/extreal/extreal_le_def_0'
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_eq_0' 'h4/thm/arithmetic/MULT_EQ_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_involutive' 'h4/thm/integer/INT_DIV_CALCULATE_e4'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_nle_gt' 'h4/thm/arithmetic/NOT_LESS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_le' 'h4/thm/extreal/abs_bounds_lt_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_of_Qc_bis' 'h4/thm/realax/REAL_POS_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_divide' 'h4/thm/real/lt_int_0'
0. 'coq/Coq_QArith_QArith_base_Qplus_inj_l' 'h4/thm/integer/INT_LT_LADD_'
0. 'coq/Coq_Init_Peano_plus_Sn_m' 'h4/thm/integer/INT_NEG_LMUL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_1_l' 'h4/thm/rat/RAT_SUB_LID_'
0. 'coq/Coq_Reals_Rtrigo1_SIN_bound/0'#@#variant 'h4/thm/prim_rec/LESS_0_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_le_incl' 'h4/thm/real/REAL_LT_IMP_LE_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_ngt' 'h4/thm/real/real_lte_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_le_mono_r' 'h4/thm/rat/RAT_LES_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_lxor_l' 'h4/thm/arithmetic/ADD_e1'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_lcm_l' 'h4/thm/arithmetic/LESS_EQ_ADD_'
0. 'coq/Coq_Reals_ROrderedType_ROrder_lt_le_trans' 'h4/thm/extreal/lte_trans_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_Zpos' 'h4/thm/real/REAL_LE_'
0. 'coq/Coq_Reals_Rminmax_R_min_glb_lt_iff' 'h4/thm/integral/REAL_LT_MIN_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_ge' 'h4/thm/string/char_ge_def_'
0. 'coq/Coq_QArith_Qabs_Qabs_Qmult' 'h4/thm/real/REAL_ABS_TRIANGLE_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_diag' 'h4/thm/numeral/iDUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_lnot_diag'#@#variant 'h4/thm/integer/INT_ADD_RINV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_max_distr_l' 'h4/thm/transc/RPOW_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_1_l' 'h4/thm/extreal/le_infty_tLL'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_nle_gt' 'h4/thm/integer/INT_NOT_LE_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_succ_r' 'h4/thm/real/REAL_NEG_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_glb_iff' 'h4/thm/extreal/le_min_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_lt_mono_l' 'h4/thm/hreal/HRAT_LT_LADD_'
0. 'coq/Coq_ZArith_BinInt_Zminus_succ_l' 'h4/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_trichotomy' 'h4/thm/hreal/HRAT_LT_TOTAL_'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_double'#@#variant 'h4/thm/complex/COMPLEX_OF_REAL_NEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_negb_even' 'h4/thm/util_prob/lg_pow_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_le_mono_pos_r'#@#variant 'h4/thm/intExtension/INT_GT_RMUL_EXP_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_eq_mul_0' 'h4/thm/integer/INT_ENTIRE_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_negb_even' 'h4/thm/util_prob/lg_pow_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_0_l'#@#variant 'h4/thm/transc/ONE_RPOW_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_lt_eq_cases' 'h4/thm/integral/LE_LT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div_1_r' 'h4/thm/extreal/sub_rzero_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lxor_eq' 'h4/thm/extreal/sub_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_1_l' 'h4/thm/integer/INT_SUB_REDUCE_1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_refl' 'h4/thm/poly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_Arith_Gt_gt_n_S' 'h4/thm/bit/TWOEXP_MONO2_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_is_pos'#@#variant 'h4/thm/integer/INT_POS_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_div2_double' 'h4/thm/transc/LN_EXP_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_incr_twice_plus_one' 'h4/thm/numeral_bit/numeral_ilog2_1'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_divide_cancel_l' 'h4/thm/integer/INT_DIVIDES_MUL_BOTH_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_add_1_l' 'h4/thm/integer/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_succ_r' 'h4/thm/integer/INT_MUL_CALCULATE_2'
0. 'coq/Coq_Arith_Plus_plus_lt_compat_l' 'h4/thm/integer/INT_LT_LADD_IMP_'
0. 'coq/Coq_Reals_RIneq_Rge_gt_trans' 'h4/thm/integer/INT_LET_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_lt_mono_pos_r'#@#variant 'h4/thm/real/REAL_LT_RDIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_inj_wd' 'h4/thm/numeral/numeral_eq_e7'
0. 'coq/Coq_Init_Datatypes_CompOpp_involutive' 'h4/thm/frac/FRAC_AINV_AINV_'
0. 'coq/Coq_ZArith_BinInt_Z_double_spec'#@#variant 'h4/thm/real/REAL_INV_1OVER_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_le_mono_pos_l'#@#variant 'h4/thm/int_arith/justify_divides_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_0_r' 'h4/thm/divides/ALL_DIVIDES_0_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_nlt' 'h4/thm/HolSmt/r115_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_succ_l' 'h4/thm/frac/FRAC_AINV_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_move_r' 'h4/thm/complex/COMPLEX_EQ_SUB_RADD_'#@#variant
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_spec_compare' 'h4/thm/toto/charOrd_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_lt_mono' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_sqrt' 'h4/thm/toto/num_dt_size_def_1'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_min_le_compat_r' 'h4/thm/hrat/TRAT_MUL_WELLDEFINED_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_double_mul' 'h4/thm/complex/COMPLEX_MUL_LNEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_neg_pos'#@#variant 'h4/thm/numeral/numeral_distrib_24'#@#variant
0. 'coq/Coq_ZArith_Zpower_Zpower_pos_is_exp' 'h4/thm/real/POW_ADD_'
0. 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_mult_lt_compat_l'#@#variant 'h4/thm/integral/REAL_LE_LMUL1_'#@#variant
0. 'coq/Coq_fourier_Fourier_util_Rfourier_lt'#@#variant 'h4/thm/real/REAL_LE_LMUL_IMP_'#@#variant
0. 'coq/Coq_Bool_Bool_negb_involutive' 'h4/thm/integer/INT_MOD_CALCULATE_2'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_add_r' 'h4/thm/hreal/HRAT_LT_ADDL_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_ge' 'h4/thm/real/REAL_LT_'
0. 'coq/Coq_ZArith_BinInt_Z_le_ge_cases' 'h4/thm/arithmetic/LESS_EQ_CASES_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_1_r' 'h4/thm/integer/INT_ADD_CALCULATE_1'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_testbit_even_0'#@#variant 'h4/thm/toto/numeralOrd_3'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_pos'#@#variant 'h4/thm/numeral/numeral_distrib_32'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_glb' 'h4/thm/divides/DIVIDES_ADD_1_'
0. 'coq/Coq_Reals_RIneq_Rnot_lt_le' 'h4/thm/arithmetic/LESS_CASES_'
0. 'coq/Coq_ZArith_BinInt_Z_divide_refl' 'h4/thm/poly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_shiftr_opp_r' 'h4/thm/extreal/extreal_div_def_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_le_mono_l' 'h4/thm/real/REAL_LT_LADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_add_r' 'h4/thm/transc/RPOW_ADD_'
0. 'coq/Coq_Lists_List_app_nil_end' 'h4/thm/sptree/union_LN_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftl_1_l'#@#variant 'h4/thm/rat/RAT_SUB_LID_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_min_glb_lt_iff' 'h4/thm/arithmetic/MIN_LT_e1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div_1_r' 'h4/thm/extreal/add_rzero_'
0. 'coq/Coq_ZArith_BinInt_Z_add_lt_mono_l' 'h4/thm/integer/INT_LE_LADD_'
0. 'coq/Coq_Reals_RIneq_Rge_refl' 'h4/thm/integer/TINT_EQ_REFL_'#@#variant
0. 'coq/Coq_ZArith_Zorder_not_Zeq' 'h4/thm/string/string_lt_cases_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_size_nat_monotone' 'h4/thm/realax/TREAL_ISO_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_id' 'h4/thm/arithmetic/MAX_IDEM_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_le_mono' 'h4/thm/bit/TWOEXP_MONO2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_shiftr' 'h4/thm/integer/INT_SUB_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_glb_lt_iff' 'h4/thm/integral/REAL_LT_MIN_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_pos_pos' 'h4/thm/integer/INT_LT_MUL_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_bounded/0'#@#variant 'h4/thm/binary_ieee/zero_lt_twopow_'#@#variant
0. 'coq/Coq_Reals_RIneq_cond_pos'#@#variant 'h4/thm/real/REAL_POS_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_shiftl_opp_r' 'h4/thm/complex/COMPLEX_SUB_RNEG_'#@#variant
0. 'coq/Coq_ZArith_Znat_Zabs2N_id' 'h4/thm/toto/num2cpn_cpn2num_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_1_l' 'h4/thm/rat/RAT_SUB_LID_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_pos_nonneg'#@#variant 'h4/thm/util_prob/REAL_LE_LT_MUL_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_pred_le_mono' 'h4/thm/prim_rec/LESS_MONO_'
0. 'coq/Coq_ZArith_Zorder_Zsucc_lt_compat' 'h4/thm/bit/TWOEXP_MONO_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zle_0_nat'#@#variant 'h4/thm/complex/MODU_POS_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_add_lt_mono_r' 'h4/thm/integer/INT_LE_RADD_'
0. 'coq/Coq_ZArith_Zorder_Znot_gt_le' 'h4/thm/HolSmt/t015_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ldiff_ldiff_l' 'h4/thm/arithmetic/EXP_EXP_MULT_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_divide_xO_xO' 'h4/thm/numeral/numeral_distrib_22'
0. 'coq/Coq_ZArith_BinInt_Z_ldiff_diag' 'h4/thm/rat/RAT_SUB_ID_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_0_r'#@#variant 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRL'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_ge_le_iff' 'h4/thm/real/real_gt_'
0. 'coq/Coq_NArith_BinNat_N_max_lt_iff' 'h4/thm/extreal/le_max_'
0. 'coq/Coq_ZArith_BinInt_Zminus_succ_l' 'h4/thm/complex/COMPLEX_NEG_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pred_succ' 'h4/thm/numeral/DIV2_BIT1_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sub_le_mono_r' 'h4/thm/arithmetic/LESS_MONO_MULT_'
0. 'coq/Coq_Arith_Lt_le_not_lt' 'h4/thm/real/REAL_LET_ANTISYM_'
0. 'coq/Coq_NArith_BinNat_N_sub_lt'#@#variant 'h4/thm/arithmetic/SUB_LESS_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_le_compat_l' 'h4/thm/real/REAL_LT_IADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_eqb_eq' 'h4/thm/quote/compare_index_equal_'
0. 'coq/Coq_NArith_BinNat_N_mul_1_r' 'h4/thm/real/REAL_SUB_RZERO_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_succ_diag_r' 'h4/thm/prim_rec/LESS_SUC_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_add_lt_sub_r' 'h4/thm/integer/INT_LT_SUB_RADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_Odd_succ' 'h4/thm/binary_ieee/exp_gt2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_lcm_l' 'h4/thm/realax/HREAL_LT_ADDL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_1_r' 'h4/thm/rat/RAT_ADD_RID_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_odd_1' 'h4/thm/ieee/Minus_zero_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pow_le_mono_r_iff'#@#variant 'h4/thm/logroot/LE_EXP_ISO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_ngt' 'h4/thm/real/real_lt_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_lt_mono' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_ZArith_BinInt_Z_succ_le_mono' 'h4/thm/numeral/numeral_lt_4'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_lt_mono_r' 'h4/thm/real/REAL_LE_SUB_CANCEL2_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_pos_l'#@#variant 'h4/thm/real/REAL_LE_LMUL_'#@#variant
0. 'coq/Coq_Reals_Rtrigo_calc_rad_deg' 'h4/thm/transc/ATN_TAN_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_involutive' 'h4/thm/complex/CONJ_CONJ_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lt_irrefl' 'h4/thm/prim_rec/LESS_REFL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_odd' 'h4/thm/realax/hreal_of_real_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_gt' 'h4/thm/string/char_lt_def_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_div2' 'h4/thm/numpair/invtri_lower_'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_nonneg' 'h4/thm/divides/ZERO_LT_PRIMES_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div_pos'#@#variant 'h4/thm/extreal/lte_add_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_PI_neq0' 'h4/thm/ieee/roundmode_distinct_4'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_0_l' 'h4/thm/integer/INT_QUOT_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_lteq' 'h4/thm/arithmetic/LESS_OR_EQ_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_xI_r' 'h4/thm/numeral/numeral_exp_1'
0. 'coq/Coq_NArith_BinNat_N_add_lt_mono_r' 'h4/thm/rat/RAT_LES_RADD_'
0. 'coq/Coq_PArith_BinPos_Pos_le_min_l' 'h4/thm/extreal/min_le1_'
0. 'coq/Coq_Reals_RIneq_Rmult_opp_opp' 'h4/thm/arithmetic/SUB_MONO_EQ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_add' 'h4/thm/arithmetic/ADD_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_divide_mono_r' 'h4/thm/arithmetic/LESS_MONO_ADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_min_lt_iff' 'h4/thm/real/REAL_MIN_LE_'
0. 'coq/Coq_omega_OmegaLemmas_Zred_factor0' 'h4/thm/HolSmt/r214_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_ltb_lt' 'h4/thm/quote/index_lt_def_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_max_l' 'h4/thm/real/REAL_LE_MAX1_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_id' 'h4/thm/gcd/GCD_REF_'
0. 'coq/Coq_ZArith_Zeven_Zquot2_opp' 'h4/thm/complex/CONJ_NEG_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_ngt' 'h4/thm/HolSmt/r096_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_lt_mono_l' 'h4/thm/rat/RAT_LES_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_total' 'h4/thm/string/string_lt_cases_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_abs_opp' 'h4/thm/numeral/numeral_add_12'#@#variant
0. 'coq/Coq_Arith_Gt_gt_n_S' 'h4/thm/divides/LT_PRIMES_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_le_iff' 'h4/thm/arithmetic/MAX_LE_0'
0. 'coq/Coq_ZArith_Zorder_Zeq_plus_swap' 'h4/thm/complex/COMPLEX_EQ_SUB_LADD_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_divide_refl' 'h4/thm/rat/RAT_EQUIV_REF_'
0. 'coq/Coq_ZArith_BinInt_Z_lnot_lxor_r' 'h4/thm/integer/INT_MUL_CALCULATE_2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_succ_diag_r' 'h4/thm/real/REAL_POS_INFLATE_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_succ_lt_mono' 'h4/thm/numpair/tri_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_square_nonneg'#@#variant 'h4/thm/real/REAL_LE_SQUARE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_pos_r'#@#variant 'h4/thm/intExtension/INT_LT_RMUL_EXP_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_le_mono_l' 'h4/thm/integer/INT_LE_LADD_'
0. 'coq/Coq_NArith_BinNat_N_double_mul' 'h4/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_NArith_BinNat_N_mul_eq_0_r' 'h4/thm/extreal/add_not_infty_e1'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_lt_mono_l' 'h4/thm/arithmetic/ADD_MONO_LESS_EQ_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_le_compat_l' 'h4/thm/realax/REAL_LT_IADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_ngt' 'h4/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_Reals_Rminmax_R_min_id' 'h4/thm/real/REAL_MAX_REFL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sub_lt'#@#variant 'h4/thm/arithmetic/SUB_LESS_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_sub_lt_add_r' 'h4/thm/extreal/lt_sub_imp_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_le_mono_nonneg'#@#variant 'h4/thm/real/REAL_LE_MUL2_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_succ_inj_wd' 'h4/thm/quote/index_11_0'
0. 'coq/Coq_ZArith_BinInt_Z_lnot_involutive' 'h4/thm/integer/INT_ADD_REDUCE_3'
0. 'coq/Coq_Reals_Rminmax_R_le_max_l' 'h4/thm/integer/INT_DIVIDES_MUL_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ge_le_iff' 'h4/thm/integer/INT_GT_CALCULATE_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_xO_r' 'h4/thm/frac/FRAC_AINV_RMUL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_cancel_l' 'h4/thm/hreal/HRAT_EQ_LMUL_'
0. 'coq/Coq_Reals_RIneq_S_INR' 'h4/thm/hrat/HRAT_SUCINT_e1'
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_mul_l' 'h4/thm/divides/DIVIDES_MULT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_square_spec' 'h4/thm/numeral/iSQR_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ldiff_m1_l'#@#variant 'h4/thm/numeral/texp_help_def_0'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_eqke_trans'#@#variant 'h4/thm/rich_list/IS_PREFIX_TRANS_'
0. 'coq/Coq_QArith_QArith_base_Zle_Qle' 'h4/thm/integer/INT_LT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_opp_r' 'h4/thm/HolSmt/r224_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_le_mono_nonneg_r'#@#variant 'h4/thm/extreal/le_rmul_imp_'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qclt_alt' 'h4/thm/quote/index_lt_def_'
0. 'coq/Coq_ZArith_Zquot_Zquot_opp_l' 'h4/thm/arithmetic/ADD_e1'
0. 'coq/Coq_NArith_BinNat_N_log2_lor' 'h4/thm/complex/COMPLEX_EXP_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_divide_mul_l' 'h4/thm/arithmetic/LESS_IMP_LESS_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_succ_lt_mono' 'h4/thm/integerRing/int_rewrites_tRRRRRRLRRRR'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_neq' 'h4/thm/hreal/HRAT_LT_NE_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_destr_t' 'h4/thm/integral/LE_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_le_iff' 'h4/thm/arithmetic/MAX_LT_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_eq_0_l' 'h4/thm/transc/RPOW_NZ_'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_id' 'h4/thm/ieee/ccode_BIJ_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_succ_r' 'h4/thm/float/LT_SUC_LE_'
0. 'coq/Coq_Arith_Even_odd_plus_l' 'h4/thm/real/REAL_LTE_ADD_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_lt_0_2' 'h4/thm/extreal/lt_infty_2'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_involutive' 'h4/thm/real/REAL_NEG_NEG_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_sqrt' 'h4/thm/extreal/extreal_ainv_def_e2'
0. 'coq/Coq_ZArith_Zorder_Zplus_le_compat_l' 'h4/thm/integer/TINT_LT_ADD_'#@#variant
0. 'coq/Coq_Reals_RIneq_succ_IZR' 'h4/thm/real/REAL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_id' 'h4/thm/real/REAL_MIN_REFL_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_lt_0_1' 'h4/thm/extreal/lt_infty_2'
0. 'coq/Coq_QArith_Qcanon_Qclt_not_le' 'h4/thm/integer/INT_LTE_ANTSYM_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_cancel_l' 'h4/thm/realax/HREAL_EQ_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_nonneg_r'#@#variant 'h4/thm/integral/REAL_LE_RMUL1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_1' 'h4/thm/rat/RAT_AINV_0_'
0. 'coq/Coq_NArith_BinNat_N_div_small' 'h4/thm/arithmetic/LESS_DIV_EQ_ZERO_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_succ_diag_r' 'h4/thm/arithmetic/LESS_EQ_SUC_REFL_'
0. 'coq/Coq_ZArith_Zeven_Zquot2_opp' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRL'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_double_plus_one' 'h4/thm/DeepSyntax/deep_form_size_def_2'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_glb_iff' 'h4/thm/integral/REAL_LT_MIN_'
0. 'coq/Coq_Arith_Gt_gt_asym' 'h4/thm/real/REAL_LT_ANTISYM_'
0. 'coq/Coq_NArith_BinNat_N_mul_1_l' 'h4/thm/real/REAL_ADD_LID_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_1_l'#@#variant 'h4/thm/HolSmt/r129_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_trichotomy' 'h4/thm/arithmetic/LESS_LESS_CASES_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_le_0_2' 'h4/thm/transc/PI2_BOUNDS_e1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_even_sub' 'h4/thm/integer/INT_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_ngt' 'h4/thm/integer/INT_NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_inj_wd' 'h4/thm/toto/num_dt_11_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_pos_l'#@#variant 'h4/thm/real/REAL_LT_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_negb_even' 'h4/thm/integerRing/int_ring_thms_e17'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_le_mono_l' 'h4/thm/integer/TINT_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_eq_0_r' 'h4/thm/intExtension/INT_NOT0_MUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_succ_l' 'h4/thm/arithmetic/ADD_e1'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_le_0_1' 'h4/thm/transc/PI2_BOUNDS_e1'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_divide' 'h4/thm/extreal/extreal_le_def_0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftl_1_l'#@#variant 'h4/thm/HolSmt/r221_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_double_spec'#@#variant 'h4/thm/integer/INT_NEG_MINUS1_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_ldiff_m1_r'#@#variant 'h4/thm/numeral/numeral_exp_0'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_abs_pow' 'h4/thm/real/REAL_MUL_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_nge' 'h4/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lxor_m1_l'#@#variant 'h4/thm/numeral/numeral_texp_help_0'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_ge' 'h4/thm/string/char_lt_def_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_cancel_r' 'h4/thm/rat/RAT_EQ_RMUL_'#@#variant
0. 'coq/Coq_ZArith_Zpow_facts_Zpower_pos_1_r' 'h4/thm/extreal/pow_1_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_odd' 'h4/thm/rat/rat_dnm_def_'
0. 'coq/Coq_NArith_BinNat_N_pos_pred_succ' 'h4/thm/binary_ieee/float_compare_BIJ_0'
0. 'coq/Coq_ZArith_BinInt_Z_succ_inj_wd' 'h4/thm/toto/num_dt_11_e1'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_eq_le_incl' 'h4/thm/hrat/TRAT_EQ_AP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_lub_lt' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_e2'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_nonneg_nonneg' 'h4/thm/realax/REAL_LT_MUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_lt_mono_r_iff'#@#variant 'h4/thm/int_arith/lt_justify_multiplication_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_lt_le_incl' 'h4/thm/integer/INT_LT_IMP_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_refl' 'h4/thm/integer/INT_LE_REFL_'
0. 'coq/Coq_QArith_Qminmax_Q_max_le_compat_l' 'h4/thm/extreal/le_ladd_imp_'
0. 'coq/Coq_Reals_R_sqr_Rsqr_div' 'h4/thm/real/ABS_DIV_'#@#variant
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_E_bits_lt_antirefl' 'h4/thm/integer/INT_LT_REFL_'
0. 'coq/Coq_NArith_BinNat_N_sub_max_distr_l' 'h4/thm/transc/RPOW_ADD_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_1_r'#@#variant 'h4/thm/arithmetic/PRE_SUB1_'#@#variant
0. 'coq/Coq_Reals_Rsqrt_def_Rsqrt_positivity'#@#variant 'h4/thm/real/POW_2_LE1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_land_diag' 'h4/thm/arithmetic/MIN_IDEM_'
0. 'coq/Coq_Numbers_Natural_BigN_Nbasic_plusnS' 'h4/thm/frac/FRAC_AINV_RMUL_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_lt_iff' 'h4/thm/real/REAL_LE_MAX_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div2_double' 'h4/thm/numpair/invtri_linverse_'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_div2' 'h4/thm/DeepSyntax/deep_form_size_def_2'#@#variant
0. 'coq/Coq_ZArith_BinInt_Zminus_succ_l' 'h4/thm/frac/FRAC_AINV_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_succ_lt_mono' 'h4/thm/transc/EXP_MONO_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_glb_lt' 'h4/thm/divides/DIVIDES_ADD_1_'
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_sub_r' 'h4/thm/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Lists_List_length_zero_iff_nil' 'h4/thm/quantHeuristics/LIST_LENGTH_0_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_asymm' 'h4/thm/hreal/HRAT_LT_ANTISYM_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_pos_pos' 'h4/thm/arithmetic/LESS_MULT2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_max_l' 'h4/thm/extreal/le_max1_'
0. 'coq/Coq_NArith_BinNat_N_divide_lcm_l' 'h4/thm/integer/INT_DIVIDES_MUL_0'
0. 'coq/Coq_Reals_Rtrigo_calc_rad_deg' 'h4/thm/string/EXPLODE_IMPLODE_'#@#variant
0. 'coq/Coq_Lists_Streams_trans_EqSt' 'h4/thm/rich_list/IS_PREFIX_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_lt_mono_l' 'h4/thm/integer/INT_LE_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_negb_even' 'h4/thm/frac/frac_sgn_def_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_pos_pos' 'h4/thm/integer/INT_LT_MUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_succ_diag_r' 'h4/thm/real/ABS_LE_'
0. 'coq/__constr_Coq_Lists_List_Exists_0_1' 'h4/thm/llist/exists_rules_0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lxor_nilpotent' 'h4/thm/arithmetic/SUB_EQUAL_0_'
0. 'coq/Coq_Bool_Bool_negb_xorb_l' 'h4/thm/extreal/mul_lneg_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_succ_inj' 'h4/thm/arithmetic/LESS_MONO_REV_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_le_compat_r' 'h4/thm/arithmetic/LESS_MONO_MULT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_pos_nonneg'#@#variant 'h4/thm/extreal/let_mul_'#@#variant
0. 'coq/Coq_Reals_Ratan_atan_increasing' 'h4/thm/divides/LT_PRIMES_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ge_le_iff' 'h4/thm/HolSmt/r103_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_ngt' 'h4/thm/real/REAL_NOT_LT_'
0. 'coq/Coq_Arith_Factorial_fact_le' 'h4/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rmult_integral_contrapositive_currified' 'h4/thm/extreal/add_not_infty_e1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_nge' 'h4/thm/arithmetic/NOT_LESS_EQUAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_le_mono' 'h4/thm/integerRing/int_rewrites_tLRRRRLRRR'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_1_succ' 'h4/thm/divides/ZERO_LT_PRIMES_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_succ' 'h4/thm/quote/index_size_def_0'#@#variant
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_lt_le' 'h4/thm/hreal/HRAT_LT_GT_'
0. 'coq/Coq_PArith_Pnat_SuccNat2Pos_inj_compare' 'h4/thm/toto/charOrd_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_total' 'h4/thm/hreal/HRAT_LT_TOTAL_'
0. 'coq/Coq_Reals_ROrderedType_ROrder_TO_le_lteq' 'h4/thm/extreal/le_lt_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_opp_r' 'h4/thm/complex/COMPLEX_NEG_RDIV_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_nlt_ge' 'h4/thm/rat/RAT_LEQ_LES_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_pred_l' 'h4/thm/extreal/mul_lneg_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_succ_diag_r' 'h4/thm/real/ABS_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_cancel_l' 'h4/thm/integer/INT_EQ_LMUL2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_refl' 'h4/thm/poly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_Reals_AltSeries_PI_tg_pos'#@#variant 'h4/thm/complex/MODU_POS_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_max_le_compat_l' 'h4/thm/real/REAL_LT_IADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_lt_mono_l' 'h4/thm/real/REAL_LE_LADD_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_leb' 'h4/thm/intto/pos_pos_thm_'
0. 'coq/Coq_ZArith_Znumtheory_rel_prime_1'#@#variant 'h4/thm/extreal/le_infty_tLL'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_eq_cases' 'h4/thm/arithmetic/GREATER_OR_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_lt_mono' 'h4/thm/arithmetic/LESS_EQ_MONO_'
0. 'coq/Coq_NArith_BinNat_N_lt_le_pred' 'h4/thm/arithmetic/LESS_EQ_IMP_LESS_SUC_'
0. 'coq/Coq_Numbers_Natural_BigN_Nbasic_base_xO'#@#variant 'h4/thm/real/real_of_num_e1'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sub_succ' 'h4/thm/real/REAL_NEG_MUL2_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_1' 'h4/thm/rat/RAT_AINV_0_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_is_pos'#@#variant 'h4/thm/real/POW_2_LE1_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_nlt_ge' 'h4/thm/HolSmt/r096_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_lt_mono' 'h4/thm/integer/INT_LT_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_1_l' 'h4/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_irrefl' 'h4/thm/realax/TREAL_LT_REFL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_Even_succ' 'h4/thm/binary_ieee/exp_ge2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_even_opp' 'h4/thm/complex/MODU_NEG_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_min_r' 'h4/thm/real/REAL_MIN_LE2_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_le_compat_r' 'h4/thm/integer/TINT_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lt_le_trans' 'h4/thm/extreal/lte_trans_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pos_pred_succ' 'h4/thm/string/char_BIJ_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_le_mono' 'h4/thm/bit/TWOEXP_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_land' 'h4/thm/complex/COMPLEX_EXP_ADD_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rlt_Rminus'#@#variant 'h4/thm/extreal/sub_zero_lt_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_1_r' 'h4/thm/real/REAL_SUB_RZERO_'
0. 'coq/Coq_NArith_Ndist_ni_le_refl' 'h4/thm/extreal/le_refl_'
0. 'coq/Coq_ZArith_Znat_positive_N_nat' 'h4/thm/complex/complex_of_num_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_le_compat_l' 'h4/thm/realax/TREAL_LT_ADD_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_div_1_r' 'h4/thm/real/REAL_SUB_RZERO_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_lt_mono_r_iff' 'h4/thm/real/REAL_LT_LMUL_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_trichotomy' 'h4/thm/arithmetic/LESS_CASES_IMP_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_gt_lt_iff' 'h4/thm/arithmetic/GREATER_DEF_'
0. 'coq/Coq_Reals_RIneq_Rdiv_lt_0_compat' 'h4/thm/integer/TINT_LT_MUL_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_id' 'h4/thm/ASCIInumbers/toString_toNum_cancel_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rmax_Rlt' 'h4/thm/arithmetic/MAX_LT_e1'
0. 'coq/Coq_NArith_BinNat_N_lt_0_succ' 'h4/thm/prim_rec/LESS_0_'
0. 'coq/Coq_ZArith_Znat_Zabs2N_inj_le'#@#variant 'h4/thm/float/FLOAT_LT_'
0. 'coq/Coq_ZArith_BinInt_Zpred_succ' 'h4/thm/transc/LN_EXP_'
0. 'coq/Coq_Reals_RIneq_Rminus_0_l' 'h4/thm/integer/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_opp' 'h4/thm/numeral/numeral_add_12'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lt_0_mul_prime' 'h4/thm/arithmetic/ZERO_LESS_MULT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_lt_iff' 'h4/thm/real/REAL_LE_MAX_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_neq_succ_0' 'h4/thm/num/NOT_SUC_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lcm_divide_iff' 'h4/thm/extreal/max_le_'
0. 'coq/Coq_PArith_BinPos_Pos_add_lt_mono_l' 'h4/thm/arithmetic/ADD_MONO_LESS_EQ_'
0. 'coq/Coq_ZArith_BinInt_Z_abs_opp' 'h4/thm/integer/INT_ABS_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_max_l' 'h4/thm/hreal/HRAT_LT_ADDL_'
0. 'coq/Coq_ZArith_BinInt_Z_le_pred_l' 'h4/thm/numpair/nsnd_le_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_nlt' 'h4/thm/arithmetic/NOT_LESS_EQUAL_'
0. 'coq/Coq_NArith_BinNat_N_pos_pred_succ' 'h4/thm/ieee/num2ccode_ccode2num_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lxor_lnot_lnot' 'h4/thm/complex/COMPLEX_NEG_DIV2_'#@#variant
0. 'coq/Coq_QArith_Qminmax_Q_min_lt_iff' 'h4/thm/arithmetic/MIN_LT_0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mod_1_l'#@#variant 'h4/thm/arithmetic/ZERO_DIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_nonneg_nonneg' 'h4/thm/integer/INT_LT_MUL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_succ_l' 'h4/thm/arithmetic/MULT_CLAUSES_4'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_add_r' 'h4/thm/transc/RPOW_SUB_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_id' 'h4/thm/ieee/ccode_BIJ_0'
0. 'coq/Coq_NArith_BinNat_N_lnot_ones' 'h4/thm/hreal/HREAL_MUL_LINV_'
0. 'coq/Coq_NArith_BinNat_N_log2_up_nonneg' 'h4/thm/prim_rec/LESS_0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_nle_gt' 'h4/thm/arithmetic/NOT_LESS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_le_compat_l' 'h4/thm/real/REAL_LT_IADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_total' 'h4/thm/realax/REAL_LT_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lcm_eq_0' 'h4/thm/rat/RAT_NO_ZERODIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_succ' 'h4/thm/numRing/num_rewrites_tLLRRRRRR'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_max_r' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_1'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_1_l' 'h4/thm/extreal/mul_lzero_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_1_r' 'h4/thm/integer/INT_SUB_REDUCE_0'
0. 'coq/Coq_Reals_RIneq_Rlt_or_le' 'h4/thm/real/REAL_LTE_TOTAL_'
0. 'coq/Coq_ZArith_Znat_N_nat_Z' 'h4/thm/ieee/Sign_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Zpred_succ' 'h4/thm/bit/LOG2_TWOEXP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_eq_le_incl' 'h4/thm/HolSmt/t007_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_pred' 'h4/thm/numeral/numeral_add_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_pos_l'#@#variant 'h4/thm/arithmetic/EXP_BASE_LE_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mod_1_l'#@#variant 'h4/thm/arithmetic/ZERO_MOD_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_gcd_1_l' 'h4/thm/rat/RAT_MUL_LZERO_'
0. 'coq/Coq_NArith_BinNat_N_add_1_l'#@#variant 'h4/thm/integer/INT_SUB_REDUCE_1'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_le_compat_l' 'h4/thm/realax/TREAL_LT_ADD_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zeq_plus_swap' 'h4/thm/complex/COMPLEX_EQ_SUB_RADD_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_le_compat_l' 'h4/thm/realax/TREAL_LT_ADD_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_sub_le_add_r' 'h4/thm/real/REAL_LE_SUB_RADD_'
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_pos_r'#@#variant 'h4/thm/logroot/EXP_LT_ISO_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_eq_0_r' 'h4/thm/intExtension/INT_NOT0_MUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_ldiff_ldiff_l' 'h4/thm/arithmetic/EXP_EXP_MULT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sub_diag' 'h4/thm/arithmetic/ABS_DIFF_EQS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_lt_mono' 'h4/thm/integerRing/int_rewrites_tLRRRRLRRR'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_testbit_even_0'#@#variant 'h4/thm/toto/num_dtOrd_3'
0. 'coq/Coq_FSets_FSetPositive_PositiveSet_eq_refl' 'h4/thm/arithmetic/LESS_EQ_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_quot_1_r' 'h4/thm/rat/RAT_ADD_RID_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_Even_succ' 'h4/thm/binary_ieee/exp_gt2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_le_compat_l' 'h4/thm/integer/TINT_LT_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_cancel_r' 'h4/thm/complex/COMPLEX_EQ_RADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_xI_succ_xO' 'h4/thm/numeral/numeral_pre_e4'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_involutive' 'h4/thm/integer/INT_DIV_CALCULATE_e4'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_testbit_even_0'#@#variant 'h4/thm/toto/qk_numeralOrd_4'
0. 'coq/Coq_Reals_RIneq_Rplus_le_le_0_compat' 'h4/thm/integer/INT_LT_MUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lcm_eq_0' 'h4/thm/rat/RAT_NO_ZERODIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_inj_wd' 'h4/thm/toto/num_dt_11_e1'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_eq_cases' 'h4/thm/real/REAL_LE_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_trichotomy' 'h4/thm/hreal/HRAT_LT_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_divide_xO_xO' 'h4/thm/numeral/numeral_lt_3'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_divide_mono_l' 'h4/thm/integer/INT_LT_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_setbit_spec_prime'#@#variant 'h4/thm/real/real_div_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_lteq' 'h4/thm/rat/rat_leq_def_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_lt_mono_r'#@#variant 'h4/thm/logroot/ROOT_LE_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_lt_mono_r' 'h4/thm/arithmetic/LESS_EQ_MONO_ADD_EQ_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lcm_1_r' 'h4/thm/integer/INT_ADD_REDUCE_1'
0. 'coq/Coq_NArith_BinNat_N_max_le_compat_r' 'h4/thm/hrat/TRAT_MUL_WELLDEFINED_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_odd_1' 'h4/thm/ieee/Minus_zero_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_pos_pos' 'h4/thm/arithmetic/LESS_MULT2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_move_0_l' 'h4/thm/integer/INT_RNEG_UNIQ_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_move_r' 'h4/thm/real/REAL_EQ_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_nle' 'h4/thm/real/real_lte_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_eq_mul_m1'#@#variant 'h4/thm/arithmetic/DIV2_def_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_l' 'h4/thm/real/REAL_LT_IADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_nge' 'h4/thm/integer/INT_NOT_LT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_le_mono_l' 'h4/thm/integer/TINT_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_simpl_r' 'h4/thm/arithmetic/ADD_SUB_'
0. 'coq/Coq_ZArith_Zcompare_Zcompare_succ_compat' 'h4/thm/quote/index_compare_def_7'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_lt_mono'#@#variant 'h4/thm/real/REAL_LE_MUL2_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_refl' 'h4/thm/real/REAL_LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_diag' 'h4/thm/gcd/GCD_REF_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_le_mono_r_iff' 'h4/thm/real/REAL_LE_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pos_pred_succ' 'h4/thm/prelim/num2ordering_ordering2num_'
0. 'coq/Coq_Init_Datatypes_CompOpp_inj' 'h4/thm/num/INV_SUC_'
0. 'coq/Coq_ZArith_Znat_Z2N_inj_neg' 'h4/thm/DeepSyntax/deep_form_size_def_5'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_1_l' 'h4/thm/extreal/sub_lzero_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_lt_mono_r'#@#variant 'h4/thm/real/REAL_LT_LMUL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_1_l' 'h4/thm/HolSmt/r221_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_succ_l' 'h4/thm/complex/COMPLEX_NEG_LDIV_'#@#variant
0. 'coq/Coq_NArith_Ndigits_Nless_def_4' 'h4/thm/toto/qk_numeralOrd_7'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_id' 'h4/thm/real/REAL_MAX_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_cancel_l' 'h4/thm/hreal/HRAT_EQ_LMUL_'
0. 'coq/Coq_QArith_Qreduction_Qred_comp' 'h4/thm/hrat/TRAT_INV_WELLDEFINED_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_max_lub_iff' 'h4/thm/util_prob/MAX_LE_X_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_odd_1' 'h4/thm/ieee/Plus_zero_'#@#variant
0. 'coq/Coq_NArith_Ndigits_Nless_def_3' 'h4/thm/toto/qk_numeralOrd_7'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_nonneg' 'h4/thm/transc/ATN_BOUNDS_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_lcm_eq_r' 'h4/thm/real/REAL_MAX_ALT_0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pred_div2_up' 'h4/thm/extreal/extreal_inv_def_e2'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_sub_1_r' 'h4/thm/arithmetic/DIV2_def_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_l' 'h4/thm/realax/TREAL_LT_ADD_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_pred_lt_mono' 'h4/thm/arithmetic/LESS_EQ_MONO_'
0. 'coq/Coq_NArith_BinNat_N_pow_0_r'#@#variant 'h4/thm/numeral/numeral_exp_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_lt_mono'#@#variant 'h4/thm/real/REAL_LE_MUL2_'#@#variant
0. 'coq/Coq_Reals_RIneq_S_INR' 'h4/thm/integer/int_of_num_e1'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_of_N' 'h4/thm/extreal/extreal_of_num_def_'
0. 'coq/Coq_Reals_Rbasic_fun_Rmax_lub_lt' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_e2'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_shiftr' 'h4/thm/integer/INT_SUB_LNEG_'
0. 'coq/Coq_ZArith_BinInt_Z_lnot_ldiff' 'h4/thm/real/REAL_SUB_LNEG_'
0. 'coq/Coq_QArith_QOrderedType_QOrder_not_gt_le' 'h4/thm/integer/INT_LTE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_pred' 'h4/thm/numeral_bit/numeral_ilog2_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_lor' 'h4/thm/complex/COMPLEX_EXP_SUB_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_cancel_l' 'h4/thm/realax/HREAL_EQ_LADD_'
0. 'coq/Coq_NArith_BinNat_N_Odd_succ' 'h4/thm/binary_ieee/exp_gt2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_quot_le_mono'#@#variant 'h4/thm/extreal/le_rmul_imp_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_succ_lt_mono' 'h4/thm/integerRing/int_rewrites_tLRRRRLRRR'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_le_mono_r' 'h4/thm/arithmetic/LT_ADD_RCANCEL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_max_le_compat_l' 'h4/thm/real/REAL_LT_IADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_pos_l'#@#variant 'h4/thm/arithmetic/EXP_BASE_LE_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_inj_wd' 'h4/thm/quote/index_11_e1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lor_diag' 'h4/thm/real/REAL_MAX_REFL_'
0. 'coq/Coq_NArith_BinNat_N_mul_lt_mono_pos_r'#@#variant 'h4/thm/intExtension/INT_GT_RMUL_EXP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_lteq' 'h4/thm/real/REAL_LE_LT_'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_le_mono' 'h4/thm/hrat/TRAT_INV_WELLDEFINED_'#@#variant
0. 'coq/Coq_Reals_R_sqrt_sqrt_le_1_alt' 'h4/thm/bit/TWOEXP_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ldiff_m1_r'#@#variant 'h4/thm/arithmetic/MOD_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_double_spec'#@#variant 'h4/thm/real/REAL_NEG_MINUS1_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_lt_lin'#@#variant 'h4/thm/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_max_le_iff' 'h4/thm/real/REAL_LE_MAX_'
0. 'coq/Coq_Reals_R_sqrt_sqrt_lt_R0'#@#variant 'h4/thm/extreal/sqrt_pos_lt_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_nle' 'h4/thm/rat/RAT_LES_LEQ_'
0. 'coq/Coq_PArith_BinPos_Pos_add_cancel_r' 'h4/thm/arithmetic/EQ_MONO_ADD_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_gt_lt_iff' 'h4/thm/arithmetic/GREATER_DEF_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_refl' 'h4/thm/rat/RAT_LEQ_REF_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_cancel_l' 'h4/thm/integer/INT_EQ_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_lt_mono' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_id' 'h4/thm/ieee/roundmode_BIJ_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mod_1_r'#@#variant 'h4/thm/numeral/numeral_exp_0'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_w4_spec' 'h4/thm/integerRing/int_is_ring_'#@#variant
0. 'coq/Coq_Arith_Plus_plus_le_compat_l' 'h4/thm/extreal/le_ladd_imp_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_nge' 'h4/thm/integer/INT_NOT_LE_'
0. 'coq/Coq_NArith_BinNat_N_mul_lt_mono_pos_l'#@#variant 'h4/thm/int_arith/justify_divides_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_ge_le_iff' 'h4/thm/integer/INT_GT_CALCULATE_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pred_le_mono' 'h4/thm/prim_rec/LESS_MONO_'
0. 'coq/Coq_ZArith_BinInt_Z_le_sub_le_add_r' 'h4/thm/real/REAL_LT_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mod_0_l' 'h4/thm/integer/INT_QUOT_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_pred_succ' 'h4/thm/numeral/DIV2_BIT1_'
0. 'coq/Coq_ZArith_Zlogarithm_log_inf_correct1' 'h4/thm/extreal/lt_infty_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_ngt' 'h4/thm/real/real_lt_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftl_shiftl' 'h4/thm/arithmetic/SUB_PLUS_'
0. 'coq/Coq_NArith_BinNat_N_setbit_spec_prime'#@#variant 'h4/thm/rat/RAT_DIV_MULMINV_'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_pred' 'h4/thm/extreal/extreal_abs_def_0'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_le_mono_l' 'h4/thm/integer/TINT_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_irrefl' 'h4/thm/integer/INT_LT_REFL_'
0. 'coq/Coq_NArith_BinNat_N_succ_le_mono' 'h4/thm/numeral/numeral_lte_3'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_neq_0_lt_0'#@#variant 'h4/thm/arithmetic/NOT_ZERO_LT_ZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_r' 'h4/thm/real/REAL_MAX_ALT_0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_1' 'h4/thm/rat/RAT_AINV_0_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_succ_pred_pos'#@#variant 'h4/thm/transc/LN_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_1_r'#@#variant 'h4/thm/arithmetic/DIV2_def_'#@#variant
0. 'coq/Coq_ZArith_Znat_Zabs2N_inj_pos' 'h4/thm/realax/real_of_hreal_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_opp_l' 'h4/thm/integer/INT_DIVIDES_NEG_e1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_add_r' 'h4/thm/arithmetic/LESS_EQ_ADD_'
0. 'coq/Coq_NArith_BinNat_N_shiftr_shiftr' 'h4/thm/frac/FRAC_SUB_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_lub_iff' 'h4/thm/arithmetic/MAX_LT_e1'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_pos_r'#@#variant 'h4/thm/rat/RAT_LES_RMUL_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_pred' 'h4/thm/numeral/numeral_suc_e2'
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_1' 'h4/thm/real/REAL_INV_0_'
0. 'coq/Coq_ZArith_BinInt_Z_opp_inj_wd' 'h4/thm/prim_rec/INV_SUC_EQ_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_iff' 'h4/thm/string/CHAR_EQ_THM_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_lt_mono_r' 'h4/thm/hreal/HRAT_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_1_l' 'h4/thm/integer/INT_SUB_LZERO_'
0. 'coq/Coq_Arith_PeanoNat_Nat_succ_inj_wd' 'h4/thm/numeral/numeral_eq_6'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_le_compat_r' 'h4/thm/extreal/le_radd_imp_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div2_spec'#@#variant 'h4/thm/arithmetic/PRE_SUB1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div2_div'#@#variant 'h4/thm/arithmetic/ADD1_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_ldiff_m1_l'#@#variant 'h4/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_pos_nonneg'#@#variant 'h4/thm/arithmetic/ONE_LT_MULT_IMP_'#@#variant
0. 'coq/Coq_Arith_Div2_even_odd_double/0' 'h4/thm/transc/EXP_LN_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_xO'#@#variant 'h4/thm/extreal/extreal_inv_def_e2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ltb_lt' 'h4/thm/quote/index_lt_def_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_0_r'#@#variant 'h4/thm/arithmetic/MOD_1_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_le_succ_l' 'h4/thm/arithmetic/LESS_EQ_'
0. 'coq/Coq_QArith_Qminmax_Q_min_glb' 'h4/thm/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_le_mono_nonneg_l'#@#variant 'h4/thm/integral/REAL_LE_LMUL1_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_divide_mono_r' 'h4/thm/arithmetic/LESS_MONO_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_0_l' 'h4/thm/arithmetic/ZERO_LESS_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_trichotomy' 'h4/thm/string/string_lt_cases_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_Nbasic_base_xO'#@#variant 'h4/thm/integer/INT_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_refl' 'h4/thm/rat/RAT_LEQ_REF_'
0. 'coq/Coq_QArith_QOrderedType_QOrder_eq_lt' 'h4/thm/extreal/let_trans_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_phi' 'h4/thm/ieee/ccode_BIJ_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_pos_nonneg'#@#variant 'h4/thm/real/REAL_LTE_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_quot_mul' 'h4/thm/integer/INT_DIV_RMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_add_le_sub_r' 'h4/thm/real/REAL_LE_SUB_LADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_pos'#@#variant 'h4/thm/realax/REAL_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_le_mono_r' 'h4/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div_1_r' 'h4/thm/real/REAL_SUB_RZERO_'
0. 'coq/Coq_ZArith_BinInt_Z_div_0_l' 'h4/thm/integer/INT_REM0_'#@#variant
0. 'coq/Coq_ZArith_Znat_N_nat_Z' 'h4/thm/complex/complex_of_num_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftr_opp_r' 'h4/thm/HolSmt/r131_'#@#variant
0. 'coq/Coq_Lists_List_concat_nil' 'h4/thm/option/OPTION_JOIN_DEF_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_le_mono' 'h4/thm/numeral/numeral_lte_3'
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_divide_r' 'h4/thm/extreal/min_le2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_lteq' 'h4/thm/extreal/le_lt_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_quot_1_r' 'h4/thm/integer/INT_ADD_CALCULATE_1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftl_1_l'#@#variant 'h4/thm/numeral/texp_help_def_0'
0. 'coq/Coq_ZArith_Znat_N2Z_is_nonneg'#@#variant 'h4/thm/binary_ieee/zero_lt_twopow_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_max_lt_iff' 'h4/thm/util_prob/X_LE_MAX_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_inj_wd' 'h4/thm/numeral/numeral_eq_e7'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_succ_le_mono' 'h4/thm/arithmetic/LESS_EQ_MONO_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_gt_lt_iff' 'h4/thm/real/real_ge_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_lt_mono_pos_l'#@#variant 'h4/thm/arithmetic/EXP_BASE_LT_MONO_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_double_twice'#@#variant 'h4/thm/real/REAL_NEG_MINUS1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_wf_0'#@#variant 'h4/thm/prim_rec/WF_LESS_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_nonneg' 'h4/thm/prim_rec/LESS_0_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_1_l'#@#variant 'h4/thm/util_prob/lg_def_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_lt_mono_r_iff'#@#variant 'h4/thm/arithmetic/EXP_BASE_LT_MONO_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_divide_1_l'#@#variant 'h4/thm/divides/ONE_DIVIDES_ALL_'#@#variant
0. 'coq/__constr_Coq_Init_Peano_le_0_1' 'h4/thm/divides/DIVIDES_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sub_add_distr' 'h4/thm/arithmetic/EXP_EXP_MULT_'
0. 'coq/Coq_ZArith_BinInt_Z_ldiff_m1_l'#@#variant 'h4/thm/HolSmt/r221_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_sub_add' 'h4/thm/arithmetic/SUB_ADD_'
0. 'coq/Coq_Arith_Plus_plus_lt_compat_r' 'h4/thm/hrat/TRAT_MUL_WELLDEFINED_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pred_div2_up' 'h4/thm/extreal/extreal_ainv_def_e2'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_IsTO_lt_total' 'h4/thm/rat/RAT_LES_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_move_r' 'h4/thm/integer/INT_EQ_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_factor_l' 'h4/thm/hreal/HRAT_LT_ADDL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_compare' 'h4/thm/intto/pos_pos_thm_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sub_le_mono_r' 'h4/thm/hrat/TRAT_MUL_WELLDEFINED_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_inj_wd' 'h4/thm/numpair/tri_11_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_id' 'h4/thm/real/REAL_MIN_REFL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_odd' 'h4/thm/extreal/extreal_of_num_def_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_0_r' 'h4/thm/arithmetic/ADD1_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pplus_one_succ_l' 'h4/thm/rat/RAT_SUB_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_lt_mono_l' 'h4/thm/arithmetic/LE_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div_1_r' 'h4/thm/integer/INT_SUB_REDUCE_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_cancel_l' 'h4/thm/real/REAL_EQ_LMUL2_'#@#variant
0. 'coq/Coq_QArith_Qround_Qle_ceiling' 'h4/thm/real/LE_NUM_CEILING_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_le_mono_pos_l'#@#variant 'h4/thm/integer/INT_LT_MONO_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_compare_xO_xO' 'h4/thm/toto/qk_numeralOrd_5'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lcm_diag' 'h4/thm/arithmetic/TIMES2_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_even_1' 'h4/thm/ieee/Plus_zero_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_divide_opp_l' 'h4/thm/integer/INT_DIVIDES_NEG_e1'
0. 'coq/Coq_Reals_Rtrigo_calc_Rlt_sqrt3_0'#@#variant 'h4/thm/extreal/half_between_1'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_neq_0_succ' 'h4/thm/arithmetic/SUC_NOT_'
0. 'coq/Coq_Reals_Ratan_atan_increasing' 'h4/thm/bit/TWOEXP_MONO_'#@#variant
0. 'coq/Coq_FSets_FSetPositive_PositiveSet_subset_spec' 'h4/thm/quote/index_lt_def_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_move_r' 'h4/thm/integer/INT_EQ_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_factor_r' 'h4/thm/hreal/HRAT_LT_ADDR_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_nge' 'h4/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_compare_xO_xO' 'h4/thm/toto/numeralOrd_6'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_le_mono_r' 'h4/thm/arithmetic/LE_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lor_diag' 'h4/thm/gcd/GCD_REF_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_divide_mono_r' 'h4/thm/hrat/TRAT_MUL_WELLDEFINED_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_succ_le_mono' 'h4/thm/numpair/tri_LE_'
0. 'coq/Coq_ZArith_BinInt_Z_pred_inj_wd' 'h4/thm/numpair/tri_11_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_pos'#@#variant 'h4/thm/real/REAL_LE_INV_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_max_distr' 'h4/thm/complex/COMPLEX_EXP_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_sub_le_add_r' 'h4/thm/integer/INT_LE_SUB_RADD_'
0. 'coq/Coq_Program_Wf_measure_wf' 'h4/thm/relation/WF_inv_image_'
0. 'coq/Coq_NArith_BinNat_N_lcm_diag' 'h4/thm/extreal/min_refl_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_1_mul_pos'#@#variant 'h4/thm/extreal/let_mul_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lxor_eq_0_iff' 'h4/thm/rat/RAT_EQ_SUB0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_refl' 'h4/thm/integer/INT_LE_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_neq' 'h4/thm/hreal/HRAT_LT_NE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_neq' 'h4/thm/integer/INT_LT_LE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_le_compat_r' 'h4/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qmult_lt_0_le_reg_r'#@#variant 'h4/thm/float/REAL_LE_RCANCEL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_min_r' 'h4/thm/extreal/min_le2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_pred_r' 'h4/thm/complex/COMPLEX_NEG_RMUL_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_r' 'h4/thm/arithmetic/LESS_MONO_ADD_'
0. 'coq/Coq_ZArith_BinInt_Z_nle_gt' 'h4/thm/real/real_lte_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_eqb' 'h4/thm/intto/pos_pos_thm_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sub_max_distr_l' 'h4/thm/transc/RPOW_SUB_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_opp_opp' 'h4/thm/arithmetic/SUB_MONO_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_square_spec' 'h4/thm/HolSmt/r216_'#@#variant
0. 'coq/Coq_QArith_QOrderedType_QOrder_eq_le' 'h4/thm/extreal/let_trans_'
0. 'coq/Coq_QArith_QArith_base_Qplus_inj_r' 'h4/thm/arithmetic/LESS_EQ_MONO_ADD_EQ_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_le_mono_l' 'h4/thm/hreal/HRAT_LT_LADD_'
0. 'coq/Coq_Reals_RIneq_Rminus_0_l' 'h4/thm/HolSmt/r129_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rinv_neq_0_compat' 'h4/thm/intExtension/INT_NOT0_SGNNOT0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_neq' 'h4/thm/hreal/HRAT_LT_NE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_negb_even' 'h4/thm/numRing/num_ring_thms_e17'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_iff' 'h4/thm/string/CHAR_EQ_THM_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_pos_r'#@#variant 'h4/thm/real/REAL_LT_RMUL_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_le_mono_r' 'h4/thm/arithmetic/LESS_EQ_MONO_ADD_EQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_succ_r' 'h4/thm/real/REAL_NEG_RMUL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sub_le_mono_r' 'h4/thm/hrat/TRAT_ADD_WELLDEFINED_'#@#variant
0. 'coq/Coq_Lists_List_hd_error_nil' 'h4/thm/llist/fromList_0'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_nonneg_r'#@#variant 'h4/thm/real/REAL_LT_RMUL_IMP_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_succ_pred' 'h4/thm/transc/ATN_TAN_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_rem_opp_l_prime' 'h4/thm/arithmetic/ADD_e1'
0. 'coq/Coq_NArith_BinNat_N_succ_pos_pred' 'h4/thm/frac/frac_sgn_def_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_pos'#@#variant 'h4/thm/transc/EXP_LT_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_cancel_l' 'h4/thm/integer/INT_EQ_LMUL2_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_0_l' 'h4/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_alt_dichotomy' 'h4/thm/integer/INT_LE_TOTAL_'
0. 'coq/Coq_ZArith_BinInt_Z_gcd_diag' 'h4/thm/real/REAL_DOUBLE_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_le_gt_cases' 'h4/thm/integer/INT_LTE_TOTAL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_add_r' 'h4/thm/realax/HREAL_LT_ADDL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_lt_mono_r' 'h4/thm/integer/INT_LE_RADD_'
0. 'coq/Coq_Init_Datatypes_CompOpp_iff' 'h4/thm/real/REAL_NEG_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_ldiff_diag' 'h4/thm/arithmetic/ABS_DIFF_EQS_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_ngt' 'h4/thm/rat/RAT_LES_LEQ_'
0. 'coq/Coq_NArith_BinNat_N_succ_double_inj' 'h4/thm/num/INV_SUC_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_max_l' 'h4/thm/real/REAL_LE_MAX1_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mod_1_r'#@#variant 'h4/thm/numeral/numeral_distrib_11'#@#variant
0. 'coq/Coq_Arith_Le_le_n_S' 'h4/thm/hrat/TRAT_INV_WELLDEFINED_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_0_l' 'h4/thm/integer/INT_REM0_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_sgn' 'h4/thm/toto/num_dt_size_def_1'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_opp' 'h4/thm/rat/RAT_AINV_CALCULATE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_le_mono' 'h4/thm/real/REAL_POS_MONO_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lnot_0_l' 'h4/thm/HolSmt/r128_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_rem_abs' 'h4/thm/real/ABS_DIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_eq_iff'#@#variant 'h4/thm/integer/INT_ABS_EQ_ID_'#@#variant
0. 'coq/Coq_Reals_Ratan_Alt_PI_eq' 'h4/thm/real/REAL_0_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_le_mono_r' 'h4/thm/arithmetic/LESS_EQ_MONO_ADD_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_compare_xI_xI' 'h4/thm/toto/num_dtOrd_7'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_land_diag' 'h4/thm/arithmetic/MIN_IDEM_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_factor_l' 'h4/thm/realax/HREAL_LT_ADDL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftr_opp_r' 'h4/thm/extreal/sub_rneg_'
0. 'coq/Coq_NArith_BinNat_N_gt_lt_iff' 'h4/thm/string/string_ge_def_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_factor_l' 'h4/thm/arithmetic/LESS_EQ_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_ge_cases' 'h4/thm/real/REAL_LET_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_cancel_l' 'h4/thm/arithmetic/EQ_ADD_LCANCEL_'
0. 'coq/Coq_Arith_Mult_mult_le_compat_l' 'h4/thm/real/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Strings_Ascii_ascii_nat_embedding' 'h4/thm/ieee/num2ccode_ccode2num_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_even_1' 'h4/thm/ieee/Minus_zero_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_1_l'#@#variant 'h4/thm/extreal/le_infty_tLL'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_pos_l'#@#variant 'h4/thm/real/REAL_LE_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_compare_succ' 'h4/thm/quote/index_compare_def_7'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_1_mul_pos'#@#variant 'h4/thm/extreal/let_mul_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rminus_eq_contra' 'h4/thm/extreal/sub_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_odd_sub' 'h4/thm/integer/INT_SUB_'
0. 'coq/Coq_Arith_PeanoNat_Nat_square_spec' 'h4/thm/arithmetic/TIMES2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lcm_divide_iff' 'h4/thm/util_prob/MAX_LE_X_'
0. 'coq/Coq_QArith_QOrderedType_QOrder_lt_irrefl' 'h4/thm/extreal/lt_refl_'
0. 'coq/Coq_Reals_RIneq_Ropp_mult_distr_l_reverse' 'h4/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_ZArith_Zorder_Zplus_le_compat_r' 'h4/thm/arithmetic/LESS_MONO_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_lt_mono_pos_r'#@#variant 'h4/thm/real/REAL_LE_RMUL_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_lt_mono_r' 'h4/thm/arithmetic/LESS_EQ_MONO_ADD_EQ_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_iff' 'h4/thm/DeepSyntax/deep_form_11_4'
0. 'coq/Coq_Reals_Rfunctions_tech_pow_Rmult' 'h4/thm/real/pow_e1'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_ltb' 'h4/thm/toto/qk_numOrd_def_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_sub_lt_add_r' 'h4/thm/real/REAL_LT_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_le_iff' 'h4/thm/arithmetic/MIN_LE_0'
0. 'coq/Coq_ZArith_BinInt_Z_add_neg_neg' 'h4/thm/intExtension/INT_LT_ADD_NEG_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_refl' 'h4/thm/real/REAL_LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_double'#@#variant 'h4/thm/util_prob/lg_inv_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_neg_neg' 'h4/thm/intExtension/INT_LT_ADD_NEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_succ_lt_mono' 'h4/thm/integerRing/int_rewrites_tLRRRLRRR'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_le_mono' 'h4/thm/bit/TWOEXP_MONO_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pow_lt_mono_r_iff'#@#variant 'h4/thm/logroot/LT_EXP_ISO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_add_lt_sub_r' 'h4/thm/integer/INT_LT_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_pred' 'h4/thm/complex/COMPLEX_EXP_NEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_antisym' 'h4/thm/divides/DIVIDES_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_inj_wd' 'h4/thm/real/REAL_EQ_NEG_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_sub_le_add_r' 'h4/thm/integer/INT_LT_ADD_SUB_'
0. 'coq/Coq_MMaps_MMapPositive_PositiveMap_E_bits_lt_antirefl' 'h4/thm/hreal/HRAT_LT_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftl_shiftl' 'h4/thm/arithmetic/SUB_RIGHT_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_l' 'h4/thm/real/REAL_MIN_ALT_0'
0. 'coq/Coq_Reals_Rtrigo_calc_sqrt2_neq_0'#@#variant 'h4/thm/toto/all_cpn_distinct_2'
0. 'coq/Coq_Reals_RIneq_Req_le' 'h4/thm/hrat/TRAT_EQ_AP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_le_iff' 'h4/thm/arithmetic/MIN_LT_0'
0. 'coq/Coq_Reals_Rminmax_R_min_glb_lt' 'h4/thm/divides/DIVIDES_ADD_1_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_nonneg_nonneg' 'h4/thm/integer/INT_LT_MUL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_sub_lt_add_l' 'h4/thm/rat/RAT_LSUB_LES_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_lt_mono' 'h4/thm/integerRing/int_rewrites_tLRRRRLRRR'
0. 'coq/Coq_NArith_Ndigits_Nless_def_2' 'h4/thm/quote/index_compare_def_5'
0. 'coq/Coq_QArith_Qround_Zdiv_Qdiv' 'h4/thm/realax/real_add_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_le_sub_le_add_r' 'h4/thm/arithmetic/SUB_LEFT_GREATER_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftl_1_l'#@#variant 'h4/thm/integer/INT_SUB_REDUCE_1'#@#variant
0. 'coq/Coq_NArith_Ndigits_Nless_def_1' 'h4/thm/quote/index_compare_def_5'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_setbit_spec_prime'#@#variant 'h4/thm/rat/RAT_DIV_MULMINV_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pos_pred_succ' 'h4/thm/real/NUM_FLOOR_EQNS_0'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_1_l' 'h4/thm/rat/RAT_SUB_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_pred_l' 'h4/thm/frac/FRAC_AINV_LMUL_'
0. 'coq/Coq_ZArith_BinInt_Z_ldiff_land' 'h4/thm/complex/COMPLEX_SUB_RNEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_reg_l' 'h4/thm/integer/INT_EQ_LMUL_IMP_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_le_lt_trans' 'h4/thm/integer/INT_LET_TRANS_'
0. 'coq/Coq_ZArith_BinInt_Z_log2_null'#@#variant 'h4/thm/intExtension/INT_SGN_CLAUSES_e2'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_gcd_0_l' 'h4/thm/rat/RAT_SUB_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_cancel_l' 'h4/thm/arithmetic/EQ_ADD_LCANCEL_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_pow_pos' 'h4/thm/integer/INT_EXP_CALCULATE_1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_1_l'#@#variant 'h4/thm/arithmetic/ZERO_DIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_1_r' 'h4/thm/extreal/mul_rzero_'
0. 'coq/Coq_ZArith_BinInt_Z_succ_pred' 'h4/thm/string/EXPLODE_IMPLODE_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sgn_opp' 'h4/thm/DeepSyntax/posinf_def_2'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_succ_inj_wd' 'h4/thm/prim_rec/INV_SUC_EQ_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_id' 'h4/thm/frac/frac_tybij_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_irrefl' 'h4/thm/rat/RAT_LES_REF_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_lub_lt_iff' 'h4/thm/arithmetic/MAX_LE_e1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_sgn' 'h4/thm/real/ABS_ABS_'
0. 'coq/Coq_Init_Peano_pred_Sn' 'h4/thm/string/IMPLODE_EXPLODE_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_le_mono' 'h4/thm/bit/TWOEXP_MONO_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_le_sub_le_add_r' 'h4/thm/real/REAL_LT_ADD_SUB_'
0. 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_ge_le_iff' 'h4/thm/pred_set/COUNT_applied_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sub_le_mono_r' 'h4/thm/arithmetic/LESS_MONO_MULT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_mod' 'h4/thm/integer/INT_MOD_SUB_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_opp_l' 'h4/thm/arithmetic/ADD_CLAUSES_2'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_r' 'h4/thm/real/REAL_MIN_ALT_e1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_divide_mono_l' 'h4/thm/extreal/le_ladd_imp_'
0. 'coq/Coq_Bool_Bool_eqb_negb1' 'h4/thm/bit/SUC_SUB_'#@#variant
0. 'coq/Coq_Strings_Ascii_ascii_N_embedding' 'h4/thm/string/char_BIJ_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_le_mono_l' 'h4/thm/real/REAL_LT_LADD_'
0. 'coq/Coq_Reals_Rtrigo_def_cosn_no_R0' 'h4/thm/extreal/extreal_not_infty_0'
0. 'coq/Coq_ZArith_BinInt_Z_sub_0_l' 'h4/thm/numeral/numeral_texp_help_0'
0. 'coq/Coq_QArith_QArith_base_Zlt_Qlt' 'h4/thm/real/le_int_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_irrefl' 'h4/thm/hreal/HRAT_LT_REFL_'
0. 'coq/Coq_Arith_Mult_mult_le_compat_r' 'h4/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_ZArith_Znumtheory_rel_prime_mult' 'h4/thm/divides/DIVIDES_SUB_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_of_Qc' 'h4/thm/rat/rat_sgn_def_'
0. 'coq/Coq_Reals_Rpower_exp_lt_inv' 'h4/thm/arithmetic/LESS_MONO_REV_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_simpl_r' 'h4/thm/arithmetic/ADD_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_1_l' 'h4/thm/rat/RAT_MUL_LZERO_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_diag'#@#variant 'h4/thm/numeral/iSQR_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_eq_add_0' 'h4/thm/gcd/GCD_EQ_0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_inj_wd' 'h4/thm/complex/COMPLEX_EQ_NEG_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qlt_irrefl' 'h4/thm/rat/RAT_LES_REF_'
0. 'coq/Coq_Lists_List_Exists_nil' 'h4/thm/llist/exists_thm_0'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_succ_le_mono' 'h4/thm/numeral/numeral_lte_e6'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_1_l' 'h4/thm/extreal/sub_lzero_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_eq_0' 'h4/thm/real/REAL_ENTIRE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_lt_mono_l' 'h4/thm/hreal/HRAT_LT_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_nonneg' 'h4/thm/divides/ZERO_LT_PRIMES_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mod_same' 'h4/thm/integer/INT_REM_ID_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_nlt_ge' 'h4/thm/integer/int_le_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_total' 'h4/thm/integer/INT_LT_TOTAL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_divide_xO_xO' 'h4/thm/numeral/numeral_distrib_28'
0. 'coq/Coq_NArith_BinNat_N_add_succ_r' 'h4/thm/extreal/mul_rneg_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lor_diag' 'h4/thm/extreal/max_refl_'
0. 'coq/Coq_PArith_BinPos_Pos_mul_xO_r' 'h4/thm/extreal/mul_rneg_'
0. 'coq/Coq_Reals_R_sqr_Rsqr_abs' 'h4/thm/transc/COS_NEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_le_mono_r_iff'#@#variant 'h4/thm/int_arith/lt_justify_multiplication_'#@#variant
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_pred' 'h4/thm/extreal/extreal_sqrt_def_0'
0. 'coq/Coq_ZArith_Znat_Zabs2N_id' 'h4/thm/real/NUM_FLOOR_EQNS_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lcm_divide_iff' 'h4/thm/util_prob/MAX_LE_X_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_nonneg_nonpos'#@#variant 'h4/thm/integer/INT_NEG_GE0_'#@#variant
0. 'coq/Coq_ZArith_Zeven_Zeven_pred' 'h4/thm/transc/LN_POS_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_negb_even' 'h4/thm/numRing/num_ring_thms_e17'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_PI_neq0' 'h4/thm/binary_ieee/rounding_distinct_2'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_nle_gt' 'h4/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_ZArith_BinInt_Z_rem_0_l' 'h4/thm/integer/INT_QUOT_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_succ_l' 'h4/thm/arithmetic/ADD_e1'
0. 'coq/Coq_NArith_BinNat_N_lnot_0_l' 'h4/thm/numeral/texp_help_def_0'
0. 'coq/Coq_NArith_BinNat_N_le_max_r' 'h4/thm/integer/INT_DIVIDES_MUL_e1'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_divide_refl' 'h4/thm/realax/TREAL_EQ_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_refl' 'h4/thm/integer/INT_DIVIDES_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_compare_xI_xI' 'h4/thm/quote/index_compare_def_7'
0. 'coq/Coq_QArith_Qcanon_Q_apart_0_1'#@#variant 'h4/thm/ieee/ccode_distinct_2'
0. 'coq/Coq_Reals_RIneq_pos_INR'#@#variant 'h4/thm/real/REAL_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_pos_pred' 'h4/thm/integerRing/int_ring_thms_e17'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_divide_xO_xO' 'h4/thm/integerRing/int_rewrites_tRRRRRRLRRRR'
0. 'coq/Coq_ZArith_Zorder_Zgt_asym' 'h4/thm/arithmetic/LESS_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_lt_lin' 'h4/thm/transc/LN_LT_X_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_quot_1_r' 'h4/thm/real/REAL_ADD_RID_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_nonneg' 'h4/thm/transc/ATN_BOUNDS_0'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_1_succ' 'h4/thm/transc/ATN_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_le_mono' 'h4/thm/divides/LT_PRIMES_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_cancel_l' 'h4/thm/integer/EQ_LADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_1' 'h4/thm/integerRing/int_rewrites_tRRRRRRRRRRRRRL'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_lub_lt_iff' 'h4/thm/arithmetic/MAX_LE_e1'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_sub' 'h4/thm/real/REAL_ADD_SUB_ALT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_lt_mono' 'h4/thm/real/REAL_LE_NEG2_'
0. 'coq/Coq_NArith_BinNat_N_gt_lt_iff' 'h4/thm/integer/int_ge_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_0_discr' 'h4/thm/arithmetic/SUC_NOT_'
0. 'coq/Coq_NArith_BinNat_N_pos_pred_succ' 'h4/thm/string/char_BIJ_0'
0. 'coq/Coq_Reals_RIneq_Rplus_ge_compat_l' 'h4/thm/integer/TINT_LT_ADD_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_sub_le_add_r' 'h4/thm/integer/INT_LE_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_inj_wd' 'h4/thm/quote/index_11_e1'
0. 'coq/Coq_Reals_Rfunctions_powerRZ_lt'#@#variant 'h4/thm/integral/REAL_POW_LE_1_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_pos_l'#@#variant 'h4/thm/real/REAL_LT_LMUL_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_eqb' 'h4/thm/toto/charOrd_'
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_lt_cancel' 'h4/thm/arithmetic/LESS_MONO_REV_'
0. 'coq/Coq_Reals_RIneq_Rlt_le_trans' 'h4/thm/arithmetic/LESS_LESS_EQ_TRANS_'
0. 'coq/Coq_ZArith_Znat_Zabs2N_inj_neg' 'h4/thm/complex/complex_of_num_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_even_sub' 'h4/thm/integer/INT_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_le_compat_r' 'h4/thm/arithmetic/LESS_MONO_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_le_mono_r' 'h4/thm/arithmetic/LESS_MONO_ADD_EQ_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_0_succ' 'h4/thm/divides/ZERO_LT_PRIMES_'
0. 'coq/Coq_Arith_EqNat_eq_nat_refl' 'h4/thm/real/REAL_LE_REFL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div2_spec'#@#variant 'h4/thm/arithmetic/ADD1_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_inj_wd' 'h4/thm/numeral/numeral_eq_6'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_1' 'h4/thm/integerRing/int_rewrites_tRRRRRRRRRRRRRL'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_id' 'h4/thm/gcd/GCD_REF_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_le_compat_r' 'h4/thm/hrat/TRAT_ADD_WELLDEFINED_'#@#variant
0. 'coq/Coq_Reals_RIneq_Ropp_inv_permute' 'h4/thm/rat/RAT_AINV_MINV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_0_l' 'h4/thm/extreal/le_infty_tLL'
0. 'coq/Coq_ZArith_BinInt_Z_lxor_lnot_lnot' 'h4/thm/real/REAL_NEG_MUL2_'
0. 'coq/Coq_ZArith_BinInt_Z_eq_le_incl' 'h4/thm/HolSmt/t006_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_cancel_l' 'h4/thm/integer/INT_EQ_LMUL2_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_opp_pred' 'h4/thm/numRing/num_rewrites_tLLRRRRRR'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_1_mul_pos'#@#variant 'h4/thm/extreal/lte_add_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_le_mono' 'h4/thm/divides/LT_PRIMES_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_lt_mono_r_iff'#@#variant 'h4/thm/integer/INT_LE_MONO_'#@#variant
0. 'coq/Coq_ZArith_Znat_Z2Nat_inj_pred' 'h4/thm/quote/index_size_def_0'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_eqb' 'h4/thm/toto/qk_numOrd_def_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_neg_pos'#@#variant 'h4/thm/integer/INT_NEG_LE0_'#@#variant
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_iff' 'h4/thm/extreal/extreal_11_'
0. 'coq/Coq_Arith_PeanoNat_Nat_ldiff_ldiff_l' 'h4/thm/frac/FRAC_SUB_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_nle_gt' 'h4/thm/HolSmt/r096_'
0. 'coq/Coq_ZArith_BinInt_Z_le_neq' 'h4/thm/integral/LT_LE_'
0. 'coq/Coq_Arith_Compare_dec_not_eq' 'h4/thm/string/string_lt_cases_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_1_r' 'h4/thm/HolSmt/r080_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_le_mono' 'h4/thm/integer/TINT_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Arith_Gt_gt_asym' 'h4/thm/hreal/HRAT_LT_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_divide_xO_xO' 'h4/thm/transc/EXP_MONO_LT_'
0. 'coq/Coq_ZArith_BinInt_Z_div2_nonneg'#@#variant 'h4/thm/real/REAL_LE_INV_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_1_l'#@#variant 'h4/thm/HolSmt/r221_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_lub_iff' 'h4/thm/extreal/max_le_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_sub_mask_neg_iff_prime' 'h4/thm/quote/index_lt_def_'
0. 'coq/Coq_QArith_Qabs_Qabs_Qle_condition' 'h4/thm/real/ABS_BOUNDS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftr_opp_r' 'h4/thm/real/real_sub_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_pos_l'#@#variant 'h4/thm/transc/RPOW_LE_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_max_le_compat_l' 'h4/thm/real/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_factor_r' 'h4/thm/hreal/HRAT_LT_ADDR_'
0. 'coq/Coq_NArith_Nnat_Nat2N_id' 'h4/thm/frac/frac_bij_0'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_ge_cases' 'h4/thm/integer/INT_LE_TOTAL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lcm_1_r' 'h4/thm/HolSmt/r214_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftr_div_pow2'#@#variant 'h4/thm/complex/COMPLEX_SUB_RNEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_le_mono' 'h4/thm/numeral/numeral_lte_3'
0. 'coq/Coq_Reals_Rtrigo1__PI2_RLT_0'#@#variant 'h4/thm/extreal/half_between_e2'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_le_mono' 'h4/thm/bit/TWOEXP_MONO_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_le_trans' 'h4/thm/rat/RAT_LES_LEQ_TRANS_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_nlt_ge' 'h4/thm/arithmetic/NOT_LESS_EQUAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_succ_diag_r' 'h4/thm/numpair/tri_le_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_le_mono_l' 'h4/thm/realax/HREAL_LT_LADD_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_pos' 'h4/thm/hrat/hrat_sucint_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_le_compat_l' 'h4/thm/integer/INT_LT_LADD_IMP_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_le_mono_r' 'h4/thm/hreal/HRAT_LT_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_le_mono' 'h4/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lxor_eq_0_iff' 'h4/thm/rat/RAT_EQ_0SUB_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_irrefl' 'h4/thm/integer/TINT_LT_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_inj_wd' 'h4/thm/numeral/numeral_eq_e7'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_pos_r'#@#variant 'h4/thm/intExtension/INT_LT_RMUL_EXP_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_div2' 'h4/thm/extreal/extreal_abs_def_0'
0. 'coq/Coq_PArith_BinPos_Pos_lt_irrefl' 'h4/thm/real/REAL_LT_REFL_'
0. 'coq/Coq_Reals_RIneq_Rplus_le_compat_r' 'h4/thm/arithmetic/LESS_MONO_MULT_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_le_incl' 'h4/thm/real/REAL_LT_IMP_LE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_opp_r' 'h4/thm/complex/complex_div_'#@#variant
0. 'coq/Coq_Reals_Rpower_Rpower_mult' 'h4/thm/logroot/EXP_MUL_'
0. 'coq/Coq_Reals_RIneq_S_INR' 'h4/thm/real/real_of_num_e1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_le_succ_r' 'h4/thm/prim_rec/LESS_SUC_'
0. 'coq/Coq_NArith_BinNat_N_pow_0_l' 'h4/thm/integer/INT_QUOT_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_pred' 'h4/thm/numeral/DIV2_BIT1_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_cancel_l' 'h4/thm/real/REAL_EQ_LMUL2_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_lt_mono_nonneg'#@#variant 'h4/thm/real/REAL_LT_MUL2_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_succ_lt_mono' 'h4/thm/arithmetic/LESS_MONO_EQ_'
0. 'coq/Coq_PArith_BinPos_Pos_le_nlt' 'h4/thm/integer/INT_NOT_LE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_lt_mono' 'h4/thm/numeral/numeral_lt_3'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_lt_mono_r' 'h4/thm/arithmetic/LESS_MONO_ADD_EQ_'
0. 'coq/Coq_ZArith_BinInt_Z_add_move_0_l' 'h4/thm/integer/INT_RNEG_UNIQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_inj_wd' 'h4/thm/numpair/tri_11_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_total' 'h4/thm/arithmetic/LESS_CASES_IMP_'
0. 'coq/Coq_ZArith_BinInt_Z_le_add_le_sub_r' 'h4/thm/real/REAL_LE_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_1' 'h4/thm/rat/RAT_AINV_0_'
0. 'coq/Coq_Strings_Ascii_ascii_nat_embedding' 'h4/thm/binary_ieee/rounding_BIJ_0'
0. 'coq/Coq_ZArith_BinInt_Z_mul_le_mono_pos_l'#@#variant 'h4/thm/arithmetic/EXP_BASE_LE_MONO_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_lteq' 'h4/thm/string/string_le_def_'#@#variant
0. 'coq/Coq_NArith_Nnat_N2Nat_id' 'h4/thm/ASCIInumbers/toNum_toString_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_0_l'#@#variant 'h4/thm/arithmetic/ZERO_LESS_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div_le_mono'#@#variant 'h4/thm/real/REAL_LT_RMUL_IMP_'#@#variant
0. 'coq/Coq_ZArith_Znat_Zabs2N_inj_pos' 'h4/thm/complex/MODU_NUM_'#@#variant
0. 'coq/Coq_Bool_Bool_negb_orb' 'h4/thm/complex/COMPLEX_EXP_SUB_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_sub_le_add_l' 'h4/thm/arithmetic/SUB_RIGHT_GREATER_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_nlt_ge' 'h4/thm/rat/RAT_LES_LEQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_refl' 'h4/thm/integer/TINT_EQ_REFL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_quot_pos'#@#variant 'h4/thm/integer/INT_LTE_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_le_iff' 'h4/thm/real/REAL_MIN_LE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_opp_r' 'h4/thm/rat/RAT_DIV_MULMINV_'
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_1_l'#@#variant 'h4/thm/integral/LE_0_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mod_0_l' 'h4/thm/integer/INT_QUOT_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lcm_1_l'#@#variant 'h4/thm/numeral/texp_help_def_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_lt_mono_r_iff'#@#variant 'h4/thm/integer/INT_LT_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_odd_1' 'h4/thm/ieee/Minus_infinity_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_gt_lt_iff' 'h4/thm/rat/rat_geq_def_'
0. 'coq/Coq_Lists_List_length_zero_iff_nil' 'h4/thm/quantHeuristics/LIST_LENGTH_1_14'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_succ_l' 'h4/thm/rat/RAT_AINV_LMUL_'
0. 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_ge_le_iff' 'h4/thm/integer/int_gt_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_inj_wd' 'h4/thm/rat/RAT_EQ_AINV_'
0. 'coq/Coq_Reals_RIneq_Rgt_not_eq' 'h4/thm/prim_rec/NOT_LESS_EQ_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_testbit' 'h4/thm/intto/pos_pos_thm_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_nonneg' 'h4/thm/transc/ATN_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_lteq' 'h4/thm/arithmetic/GREATER_OR_EQ_'
0. 'coq/Coq_ZArith_BinInt_Z_divide_add_r' 'h4/thm/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_succ' 'h4/thm/numeral/iDUB_removal_1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_pred_r' 'h4/thm/arithmetic/ADD_SUC_'
0. 'coq/Coq_Strings_Ascii_ascii_N_embedding' 'h4/thm/ieee/roundmode_BIJ_0'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_1' 'h4/thm/integer/INT_ADD_REDUCE_2'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sub_succ' 'h4/thm/complex/COMPLEX_NEG_DIV2_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_divide_factor_r' 'h4/thm/extreal/le_max2_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_le_incl' 'h4/thm/integer/INT_LT_IMP_LE_'
0. 'coq/Coq_Reals_Raxioms_R1_neq_R0' 'h4/thm/ieee/roundmode_distinct_3'
0. 'coq/Coq_NArith_BinNat_N_lt_0_mul_prime'#@#variant 'h4/thm/arithmetic/ODD_MULT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sub_succ' 'h4/thm/extreal/neg_mul2_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_nonneg_nonneg' 'h4/thm/binary_ieee/le2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_ones_equiv'#@#variant 'h4/thm/numeral/numeral_pre_e4'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_succ_l' 'h4/thm/complex/COMPLEX_MUL_LNEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_negb_odd' 'h4/thm/ratRing/rat_ring_thms_e17'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_opp' 'h4/thm/DeepSyntax/posinf_def_2'
0. 'coq/Coq_Arith_PeanoNat_Nat_lcm_divide_iff' 'h4/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_asymm' 'h4/thm/realax/HREAL_LT_GT_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_ge_le_iff' 'h4/thm/string/string_ge_def_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_succ_lt_mono' 'h4/thm/numeral/numeral_lt_4'
0. 'coq/Coq_Reals_Raxioms_R1_neq_R0' 'h4/thm/binary_ieee/float_compare_distinct_4'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftr_div_pow2'#@#variant 'h4/thm/real/real_sub_'
0. 'coq/Coq_QArith_QOrderedType_QOrder_le_lt_trans' 'h4/thm/rat/RAT_LEQ_LES_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_1_l' 'h4/thm/integer/INT_ADD_REDUCE_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_min_l' 'h4/thm/arithmetic/SUB_LESS_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_lt_mono_r' 'h4/thm/hreal/HRAT_LT_RMUL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_clearbit_spec_prime'#@#variant 'h4/thm/HolSmt/r131_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_square_spec' 'h4/thm/HolSmt/r216_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_cancel_l' 'h4/thm/real/REAL_EQ_LADD_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_pred'#@#variant 'h4/thm/real/real_of_num_e1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_rem_small'#@#variant 'h4/thm/integer/INT_LESS_MOD_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_ge_cases' 'h4/thm/integer/INT_LTE_TOTAL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_pred_le_mono' 'h4/thm/hrat/TRAT_INV_WELLDEFINED_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_divide_mono_r' 'h4/thm/hrat/TRAT_ADD_WELLDEFINED_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_COS_bound/0'#@#variant 'h4/thm/divides/ZERO_LT_PRIMES_'
0. 'coq/Coq_NArith_BinNat_N_pred_le_mono' 'h4/thm/hrat/TRAT_INV_WELLDEFINED_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_pos_l'#@#variant 'h4/thm/transc/RPOW_LT_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qplus_assoc' 'h4/thm/hrat/TRAT_ADD_ASSOC_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lt_eq_cases' 'h4/thm/integral/LE_LT_'
0. 'coq/Coq_PArith_BinPos_Pos_compare_xO_xO' 'h4/thm/toto/num_dtOrd_e8'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_shuffle3' 'h4/thm/float/REAL_MUL_AC_e2'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_add_pos_r'#@#variant 'h4/thm/arithmetic/X_LE_X_EXP_'#@#variant
0. 'coq/Coq_ZArith_Zdiv_Zdiv_1_r' 'h4/thm/HolSmt/r214_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_quot_pos'#@#variant 'h4/thm/arithmetic/ONE_LT_MULT_IMP_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_abs' 'h4/thm/rat/RAT_AINV_CALCULATE_'
0. 'coq/__constr_Coq_Init_Peano_le_0_1' 'h4/thm/poly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_PositiveOrderedTypeBits_bits_lt_antirefl' 'h4/thm/integer/TINT_LT_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_le_mono_l' 'h4/thm/integer/INT_LE_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_lub_lt_iff' 'h4/thm/arithmetic/MAX_LE_e1'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_eq_mul_0' 'h4/thm/arithmetic/MULT_EQ_0_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_testbit_even_0'#@#variant 'h4/thm/toto/qk_numeralOrd_4'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_1_l'#@#variant 'h4/thm/HolSmt/r128_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_irrefl' 'h4/thm/prim_rec/LESS_REFL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_trichotomy' 'h4/thm/integer/INT_LT_TOTAL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_sub_le_add_r' 'h4/thm/real/REAL_LT_ADD_SUB_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_pred_lt_succ' 'h4/thm/bit/TWOEXP_LE_IMP_LE_LOG2_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_le_lin'#@#variant 'h4/thm/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_ge_le_iff' 'h4/thm/real/real_gt_'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_one_neq_zero' 'h4/thm/binary_ieee/float_compare_distinct_4'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_asymm' 'h4/thm/rat/RAT_LES_ANTISYM_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_1' 'h4/thm/integerRing/int_rewrites_tRRRRRRRRRRRRRL'
0. 'coq/Coq_Reals_Rtrigo1_sin_PI_x' 'h4/thm/numeral/numeral_add_12'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_0_l' 'h4/thm/integer/INT_MOD0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_sub_le_add_r' 'h4/thm/real/REAL_LT_SUB_RADD_'
0. 'coq/Coq_ZArith_Zlogarithm_log_sup_correct1' 'h4/thm/extreal/lt_infty_0'
0. 'coq/Coq_ZArith_Znat_Nat2Z_id' 'h4/thm/toto/num2cpn_cpn2num_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_eq_le_incl' 'h4/thm/hrat/TRAT_EQ_AP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_lt_mono_r_iff'#@#variant 'h4/thm/int_arith/justify_divides_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_succ_le_mono' 'h4/thm/numeral/numeral_lt_3'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_pow' 'h4/thm/integer/INT_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_ge_le_iff' 'h4/thm/integer/int_ge_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_nonneg' 'h4/thm/transc/ATN_BOUNDS_0'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sgn_opp' 'h4/thm/complex/CONJ_INV_'#@#variant
0. 'coq/Coq_Init_Datatypes_prod_ind' 'h4/thm/pair/pair_induction_'
0. 'coq/Coq_Reals_RIneq_Rplus_lt_compat_r' 'h4/thm/integer/TINT_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_lub_iff' 'h4/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_divide_l' 'h4/thm/extreal/min_le1_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_reg_l' 'h4/thm/real/REAL_EQ_LMUL_IMP_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_add_diag_r' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_0'
0. 'coq/Coq_ZArith_Zquot_Zquot_opp_r' 'h4/thm/integer/INT_NEG_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sub_diag' 'h4/thm/integer/INT_SUB_REFL_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_le_succ_diag_r' 'h4/thm/real/REAL_POS_INFLATE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_refl' 'h4/thm/hrat/TRAT_EQ_REFL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_nonneg'#@#variant 'h4/thm/real/REAL_NEG_GE0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_ge_cases' 'h4/thm/real/REAL_LET_TOTAL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_lcm_l' 'h4/thm/arithmetic/LESS_EQ_ADD_'
0. 'coq/Coq_ZArith_BinInt_Z_divide_1_l'#@#variant 'h4/thm/integer/INT_DIVIDES_1_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_1_r' 'h4/thm/real/REAL_SUB_RZERO_'
0. 'coq/Coq_PArith_BinPos_Pos_ge_le_iff' 'h4/thm/rat/rat_geq_def_'
0. 'coq/Coq_ZArith_BinInt_Z_pow_1_r' 'h4/thm/rat/RAT_ADD_RID_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_min_distr' 'h4/thm/complex/COMPLEX_EXP_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_ge_cases' 'h4/thm/integer/INT_LTE_TOTAL_'
0. 'coq/Coq_Arith_Gt_gt_asym' 'h4/thm/hreal/HRAT_LT_GT_'
0. 'coq/Coq_Arith_PeanoNat_Nat_clearbit_spec_prime'#@#variant 'h4/thm/rat/RAT_SUB_ADDAINV_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_cancel_r' 'h4/thm/arithmetic/EQ_ADD_RCANCEL_'
0. 'coq/Coq_ZArith_BinInt_Z_shiftl_opp_r' 'h4/thm/complex/complex_sub_'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_succ' 'h4/thm/extreal/extreal_exp_def_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_pos'#@#variant 'h4/thm/transc/EXP_LT_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_sub_l' 'h4/thm/arithmetic/SUB_LESS_EQ_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_pred_sub' 'h4/thm/arithmetic/DIV2_def_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_succ_r' 'h4/thm/rat/RAT_AINV_RMUL_'
0. 'coq/Coq_QArith_QArith_base_Qmult_comm' 'h4/thm/hrat/TRAT_MUL_SYM_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_pos'#@#variant 'h4/thm/transc/EXP_LT_1_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_pos'#@#variant 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_pos'#@#variant 'h4/thm/real/REAL_LE_INV_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_eq_1'#@#variant 'h4/thm/gcd/GCD_EQ_0_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_eq_0' 'h4/thm/integer/INT_ENTIRE_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_divide' 'h4/thm/string/char_gt_def_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_compare_lt_iff' 'h4/thm/quote/index_lt_def_'
0. 'coq/Coq_Reals_Rfunctions_pow_lt'#@#variant 'h4/thm/real/REAL_POW_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_lt_mono_r_iff'#@#variant 'h4/thm/rat/RAT_LES_LMUL_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_1_r' 'h4/thm/integer/INT_SUB_REDUCE_0'
0. 'coq/Coq_Reals_RIneq_Rmult_le_compat'#@#variant 'h4/thm/real/REAL_LT_MUL2_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_pos_nonneg'#@#variant 'h4/thm/extreal/lte_add_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_le_0_sub'#@#variant 'h4/thm/integer/INT_SUB_LE_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_square_spec' 'h4/thm/numeral/iDUB_'
0. 'coq/Coq_Structures_OrdersEx_PositiveOrderedTypeBits_bits_lt_antirefl' 'h4/thm/realax/REAL_LT_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lcm_1_l'#@#variant 'h4/thm/HolSmt/r129_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_divide_xO_xO' 'h4/thm/integerRing/int_rewrites_tLRRRRLRRR'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_succ_lt_mono' 'h4/thm/arithmetic/LESS_EQ_MONO_'
0. 'coq/Coq_NArith_BinNat_N_add_succ_l' 'h4/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_pos' 'h4/thm/complex/complex_of_num_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_nonneg' 'h4/thm/prim_rec/LESS_0_'
0. 'coq/Coq_ZArith_Zorder_Zgt_asym' 'h4/thm/hreal/HRAT_LT_GT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_setbit_spec_prime'#@#variant 'h4/thm/real/REAL_SUB_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_le_mono' 'h4/thm/divides/LT_PRIMES_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_compare' 'h4/thm/intto/pos_pos_thm_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_gcd_greatest' 'h4/thm/divides/DIVIDES_ADD_1_'
0. 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_ge_le_iff' 'h4/thm/arithmetic/GREATER_EQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_pos_l'#@#variant 'h4/thm/int_arith/justify_divides_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_0_r' 'h4/thm/divides/ALL_DIVIDES_0_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_le_compat_r' 'h4/thm/extreal/le_radd_imp_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_le_mono_pos_l'#@#variant 'h4/thm/logroot/LE_EXP_ISO_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pow_0_r'#@#variant 'h4/thm/numeral/numeral_distrib_11'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_mod' 'h4/thm/integer/INT_MOD_PLUS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_neg_iff'#@#variant 'h4/thm/intExtension/INT_SGN_CLAUSES_0'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_neg_xO'#@#variant 'h4/thm/toto/num_dt_size_def_e2'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_lub_lt_iff' 'h4/thm/extreal/max_le_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_of_Q' 'h4/thm/toto/cpn_BIJ_0'
0. 'coq/Coq_ZArith_BinInt_Z_shiftr_opp_r' 'h4/thm/complex/complex_div_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_neq_0_lt_0'#@#variant 'h4/thm/extreal/lt_infty_e6'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_succ_r' 'h4/thm/complex/COMPLEX_NEG_RMUL_'#@#variant
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_iff' 'h4/thm/ASCIInumbers/toString_11_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_divide' 'h4/thm/real/REAL_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_lt_mono_pos_l'#@#variant 'h4/thm/logroot/LT_EXP_ISO_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_cancel_l' 'h4/thm/hreal/HRAT_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_le_mono_r' 'h4/thm/hreal/HRAT_LT_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_succ_inj_wd' 'h4/thm/prim_rec/INV_SUC_EQ_'
0. 'coq/Coq_ZArith_BinInt_Z_pow_le_mono_r'#@#variant 'h4/thm/real/REAL_LE_LMUL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_succ_l' 'h4/thm/integer/INT_MUL_CALCULATE_1'
0. 'coq/Coq_Arith_PeanoNat_Nat_Even_or_Odd' 'h4/thm/arithmetic/EVEN_OR_ODD_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_of_Qc' 'h4/thm/ieee/Fraction_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_pred_l' 'h4/thm/numpair/nfst_le_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_0_l_prime' 'h4/thm/integer/INT_DIV_0_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_sin_neg' 'h4/thm/complex/COMPLEX_INV_NEG_'#@#variant
0. 'coq/Coq_QArith_QOrderedType_QOrder_le_refl' 'h4/thm/integer/TINT_EQ_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_le_mono_l' 'h4/thm/integer/INT_LE_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_ngt' 'h4/thm/arithmetic/NOT_LESS_'
0. 'coq/Coq_ZArith_Znat_Zabs_nat_N' 'h4/thm/rat/RAT_SGN_CALCULATE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_pos_pos' 'h4/thm/binary_ieee/le2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_diag'#@#variant 'h4/thm/real/REAL_DOUBLE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_0_discr' 'h4/thm/intto/BIT1_nz_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_testbit_even_0'#@#variant 'h4/thm/toto/numeralOrd_4'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_pos_cancel_l'#@#variant 'h4/thm/real/REAL_LT_LMUL_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_pow_succ_r' 'h4/thm/arithmetic/MULT_SUC_'
0. 'coq/Coq_Structures_DecidableTypeEx_Z_as_DT_lt_not_eq' 'h4/thm/integer/INT_LT_IMP_NE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_inj_wd' 'h4/thm/numRing/num_rewrites_tLRRRRRRLR'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lxor_m1_l'#@#variant 'h4/thm/HolSmt/r221_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_factor_l' 'h4/thm/realax/HREAL_LT_ADDL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_inj_wd' 'h4/thm/complex/COMPLEX_EQ_NEG_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_shuffle3' 'h4/thm/float/REAL_MUL_AC_e2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_lt_mono' 'h4/thm/transc/EXP_MONO_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_lt_mono_pos_l'#@#variant 'h4/thm/transc/RPOW_LT_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_ngt' 'h4/thm/integer/INT_NOT_LE_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_pos_l'#@#variant 'h4/thm/logroot/LE_EXP_ISO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_nonneg' 'h4/thm/divides/ZERO_LT_PRIMES_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_sub_le_add_r' 'h4/thm/real/REAL_LT_SUB_LADD_'
0. 'coq/Coq_PArith_BinPos_Pos_mul_lt_mono_r' 'h4/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_le_lin' 'h4/thm/numpair/nsnd_le_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lxor_lnot_lnot' 'h4/thm/arithmetic/ABS_DIFF_ADD_SAME_'
0. 'coq/Coq_PArith_BinPos_Pos_mul_cancel_l' 'h4/thm/hreal/HRAT_EQ_LADD_'
0. 'coq/Coq_NArith_Nnat_Nat2N_id' 'h4/thm/ieee/roundmode_BIJ_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lxor_m1_r'#@#variant 'h4/thm/arithmetic/PRE_SUB1_'#@#variant
0. 'coq/Coq_Arith_Lt_le_not_lt' 'h4/thm/integer/INT_LET_ANTISYM_'
0. 'coq/Coq_Reals_Rbasic_fun_Rmax_r' 'h4/thm/hreal/HRAT_LT_ADDR_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_mod' 'h4/thm/integer/INT_MOD_SUB_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_succ_le_pred' 'h4/thm/bit/TWOEXP_LE_IMP_LE_LOG2_0'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_factor_r' 'h4/thm/real/REAL_LE_MAX2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_le_mono' 'h4/thm/numpair/tri_LT_I_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_of_Z' 'h4/thm/binary_ieee/num2float_compare_float_compare2num_'
0. 'coq/Coq_NArith_BinNat_N_lt_0_succ' 'h4/thm/arithmetic/FACT_LESS_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_le_compat_r' 'h4/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_setbit_spec_prime'#@#variant 'h4/thm/real/REAL_SUB_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_nlt_ge' 'h4/thm/real/real_lte_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_lt_lin' 'h4/thm/transc/LN_LT_X_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_phi' 'h4/thm/binary_ieee/float_compare_BIJ_0'
0. 'coq/Coq_NArith_BinNat_N_pow_lt_mono_r' 'h4/thm/real/REAL_LT_LMUL_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_gcd_divide_l' 'h4/thm/extreal/min_le1_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_le_trans' 'h4/thm/extreal/lte_trans_'
0. 'coq/Coq_NArith_BinNat_N_double_mul' 'h4/thm/frac/FRAC_AINV_LMUL_'
0. 'coq/Coq_Reals_Rbasic_fun_Rle_min_compat_r' 'h4/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_lt_mono_l' 'h4/thm/hreal/HRAT_LT_LADD_'
0. 'coq/Coq_QArith_Qcanon_Q_apart_0_1'#@#variant 'h4/thm/ieee/roundmode_distinct_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div_0_l' 'h4/thm/integer/INT_MOD0_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_pow_le_mono_r'#@#variant 'h4/thm/arithmetic/EXP_BASE_LEQ_MONO_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_le_mono_r' 'h4/thm/integer/INT_LE_RADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_nonneg_l'#@#variant 'h4/thm/logroot/ROOT_LE_MONO_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_max_le_compat_l' 'h4/thm/integer/INT_LT_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_move_0_l' 'h4/thm/HolSmt/r076_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_inj_wd' 'h4/thm/numpair/tri_11_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_eq_0' 'h4/thm/extreal/entire_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_le_mono_r' 'h4/thm/hreal/HRAT_LT_RMUL_'
0. 'coq/Coq_ZArith_Zorder_Zlt_neg_0' 'h4/thm/string/ORD_BOUND_'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_one_neq_zero' 'h4/thm/ieee/ccode_distinct_e5'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_le_compat_r' 'h4/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_pred_lt_mono' 'h4/thm/transc/EXP_MONO_LE_'
0. 'coq/Coq_ZArith_BinInt_Z_negb_odd' 'h4/thm/ratRing/rat_ring_thms_e17'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_1_r' 'h4/thm/integer/INT_MUL_REDUCE_0'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_succ_r' 'h4/thm/integer/INT_MUL_CALCULATE_2'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_iff' 'h4/thm/integerRing/int_calculate_8'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_pos_nonneg'#@#variant 'h4/thm/arithmetic/ONE_LT_MULT_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_pos_pred' 'h4/thm/integerRing/int_ring_thms_e17'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_le_mono' 'h4/thm/divides/LT_PRIMES_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_id' 'h4/thm/gcd/GCD_REF_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_compare_xI_xI' 'h4/thm/quote/index_compare_def_5'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_lteq' 'h4/thm/rat/rat_leq_def_'
0. 'coq/Coq_Reals_Rsqrt_def_Rsqrt_positivity'#@#variant 'h4/thm/binary_ieee/zero_le_twopow_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_le_mono_r' 'h4/thm/arithmetic/LE_ADD_RCANCEL_'
0. 'coq/Coq_Reals_Rtrigo_calc_sqrt2_neq_0'#@#variant 'h4/thm/extreal/ne_01_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_compare_lt_iff' 'h4/thm/quote/index_lt_def_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_eq_le_incl' 'h4/thm/extreal/lt_imp_le_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lor_eq_0_l' 'h4/thm/transc/RPOW_NZ_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_opp_pred' 'h4/thm/numRing/num_rewrites_tRRLRRR'
0. 'coq/Coq_Arith_Mult_mult_is_O' 'h4/thm/extreal/add_not_infty_e1'
0. 'coq/Coq_Reals_AltSeries_PI_tg_pos'#@#variant 'h4/thm/binary_ieee/zero_lt_twopow_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_sub_diag' 'h4/thm/integer/INT_SUB_REFL_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pplus_one_succ_l' 'h4/thm/HolSmt/r129_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_sin_neg' 'h4/thm/numeral/numeral_distrib_14'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_nlt_ge' 'h4/thm/arithmetic/NOT_LESS_EQUAL_'
0. 'coq/Coq_NArith_Nnat_Nat2N_id' 'h4/thm/realax/TREAL_BIJ_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_0_l' 'h4/thm/integer/INT_DIV_0_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_id' 'h4/thm/extreal/min_refl_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lxor_lnot_lnot' 'h4/thm/arithmetic/ABS_DIFF_ADD_SAME_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_le_mono_l' 'h4/thm/hreal/HRAT_LT_LADD_'
0. 'coq/Coq_ZArith_BinInt_Z_opp_inj_wd' 'h4/thm/integral/EQ_SUC_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_Even_succ' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRL'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_sub_le_add_r' 'h4/thm/real/REAL_LE_SUB_LADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_max_le_compat_l' 'h4/thm/realax/TREAL_LT_ADD_'#@#variant
0. 'coq/Coq_Arith_Lt_nat_total_order' 'h4/thm/hreal/HRAT_LT_TOTAL_'
0. 'coq/Coq_Bool_Bool_diff_true_false' 'h4/thm/real/REAL_10_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_nle_gt' 'h4/thm/HolSmt/r096_'
0. 'coq/Coq_NArith_BinNat_N_divide_factor_l' 'h4/thm/hreal/HRAT_LT_ADDL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_1_mul_pos'#@#variant 'h4/thm/integer/INT_LTE_ADD_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_even_1' 'h4/thm/float/FLOAT_INFINITIES_SIGNED_0'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sub_max_distr_l' 'h4/thm/transc/RPOW_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_compare_succ_succ' 'h4/thm/toto/num_dtOrd_7'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_shuffle3' 'h4/thm/float/REAL_MUL_AC_e2'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_lt_iff' 'h4/thm/util_prob/X_LE_MAX_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_nonneg' 'h4/thm/transc/ATN_BOUNDS_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_eq_mul_0' 'h4/thm/real/REAL_ENTIRE_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_max_distr' 'h4/thm/transc/EXP_ADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_inj_l' 'h4/thm/integer/INT_EQ_RMUL_IMP_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lt_eq_cases' 'h4/thm/rat/rat_leq_def_'
0. 'coq/Coq_NArith_BinNat_N_min_glb_iff' 'h4/thm/integral/REAL_LT_MIN_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_lub_iff' 'h4/thm/extreal/max_le_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_neq' 'h4/thm/prim_rec/LESS_NOT_EQ_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_lt_trans' 'h4/thm/real/REAL_LET_TRANS_'
0. 'coq/Coq_Reals_Ratan_atan_opp' 'h4/thm/numeral_bit/iDUB_NUMERAL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_succ_r' 'h4/thm/float/LT_SUC_LE_'
0. 'coq/Coq_Reals_Rminmax_R_max_lub_iff' 'h4/thm/arithmetic/MAX_LT_e1'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div2_succ_double' 'h4/thm/numeral/DIV2_BIT1_'
0. 'coq/Coq_Reals_Rbasic_fun_Rle_max_compat_r' 'h4/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_minus_one_neq_zero'#@#variant 'h4/thm/binary_ieee/rounding_distinct_1'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_irrefl' 'h4/thm/prim_rec/LESS_REFL_'
0. 'coq/Coq_Reals_Rminmax_R_max_lub_iff' 'h4/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_ZArith_BinInt_Z_pred_le_mono' 'h4/thm/numeral/numeral_distrib_28'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ldiff_land' 'h4/thm/integer/INT_SUB_CALCULATE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_le_lt_mono' 'h4/thm/integer/INT_LET_ADD2_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_sub' 'h4/thm/real/REAL_SUB_ADD_'
0. 'coq/Coq_NArith_BinNat_N_succ_0_discr' 'h4/thm/num/ZERO_REP_DEF_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_refl' 'h4/thm/integer/INT_DIVIDES_REFL_'
0. 'coq/Coq_QArith_Qcanon_Qcdiv_mult_l'#@#variant 'h4/thm/real/REAL_DIV_RMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mod_1_l'#@#variant 'h4/thm/transc/ONE_RPOW_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_lt_mono_l' 'h4/thm/realax/HREAL_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_pos'#@#variant 'h4/thm/real/REAL_LT_INV_EQ_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_neq' 'h4/thm/extreal/lt_le_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_w1_spec' 'h4/thm/numRing/num_semi_ring_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_land_diag' 'h4/thm/real/REAL_MAX_REFL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_id' 'h4/thm/extreal/min_refl_'
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_left' 'h4/thm/intExtension/INT_ABS_CALCULATE_NEG_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_1_r' 'h4/thm/integer/INT_ADD_CALCULATE_1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_0_iff' 'h4/thm/integer/INT_MOD_CALCULATE_e4'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_0_l' 'h4/thm/divides/ONE_DIVIDES_ALL_'#@#variant
0. 'coq/Coq_Init_Peano_pred_Sn' 'h4/thm/numeral_bit/NUMERAL_iDIV2_2'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_of_pos' 'h4/thm/ieee/Sign_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_pred' 'h4/thm/numeral/iDUB_removal_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_div2_div'#@#variant 'h4/thm/arithmetic/DIV2_def_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_le_mono' 'h4/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_opp_r' 'h4/thm/extreal/extreal_sub_add_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_clearbit_spec_prime'#@#variant 'h4/thm/integer/INT_SUB_CALCULATE_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_lt_mono_l' 'h4/thm/arithmetic/LE_ADD_LCANCEL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_pred_le_mono' 'h4/thm/bit/TWOEXP_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_asymm' 'h4/thm/string/string_lt_antisym_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_pos_pos' 'h4/thm/integer/TINT_LT_MUL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_square' 'h4/thm/quote/index_size_def_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_succ_l' 'h4/thm/prim_rec/SUC_LESS_'
0. 'coq/Coq_QArith_QArith_base_Zle_Qle' 'h4/thm/real/REAL_OF_NUM_LE_'
0. 'coq/Coq_Reals_RIneq_Rmult_le_compat_r'#@#variant 'h4/thm/arithmetic/DIV_LE_MONOTONE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_le_mono_l' 'h4/thm/realax/HREAL_LT_LADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_pred' 'h4/thm/numRing/num_rewrites_tRRLRR'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_lt' 'h4/thm/real/ABS_BOUNDS_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_succ_r' 'h4/thm/complex/COMPLEX_NEG_RDIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_1' 'h4/thm/rat/RAT_AINV_0_'
0. 'coq/Coq_Bool_Bool_diff_true_false' 'h4/thm/prelim/ordering_distinct_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lxor_eq_0_iff' 'h4/thm/rat/RAT_EQ_0SUB_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_pos_r'#@#variant 'h4/thm/real/REAL_LT_RDIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_ge_le_iff' 'h4/thm/rat/rat_geq_def_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_sub_le_add_r' 'h4/thm/rat/RAT_RSUB_LES_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_succ_lt_mono' 'h4/thm/integerRing/int_rewrites_tLRRRRLRRR'
0. 'coq/Coq_PArith_BinPos_Pos_add_succ_r' 'h4/thm/arithmetic/ADD_SUC_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_sub_le_add_r' 'h4/thm/arithmetic/SUB_LEFT_GREATER_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_lt_mono_l' 'h4/thm/arithmetic/ADD_MONO_LESS_EQ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_pred_l' 'h4/thm/extreal/mul_lneg_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div_mul' 'h4/thm/integer/INT_DIV_RMUL_'#@#variant
0. 'coq/Coq_Lists_List_length_zero_iff_nil' 'h4/thm/quantHeuristics/LIST_LENGTH_0_1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_le_mono_l' 'h4/thm/integer/LT_LADD_'
0. 'coq/Coq_PArith_BinPos_Pos_sub_diag' 'h4/thm/rat/RAT_SUB_ID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_total' 'h4/thm/string/string_lt_cases_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_eq_0' 'h4/thm/arithmetic/MULT_EQ_1_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_pred_l' 'h4/thm/complex/COMPLEX_NEG_LDIV_'#@#variant
0. 'coq/Coq_Bool_Bool_diff_false_true' 'h4/thm/extreal/ne_01_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_le_mono_l' 'h4/thm/arithmetic/LE_ADD_LCANCEL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_succ_le_mono' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Reals_RIneq_Rdiv_lt_0_compat' 'h4/thm/binary_ieee/le2_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_max_distr' 'h4/thm/hrat/TRAT_LDISTRIB_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_succ_pred' 'h4/thm/numeral/DIV2_BIT1_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_nlt' 'h4/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_QArith_Qcanon_Q_apart_0_1'#@#variant 'h4/thm/binary_ieee/rounding_distinct_4'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_opp_l' 'h4/thm/complex/COMPLEX_NEG_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_succ_l' 'h4/thm/complex/COMPLEX_MUL_LNEG_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_quot_0_l' 'h4/thm/integer/INT_REM0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_1_l' 'h4/thm/HolSmt/r233_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_neq_succ_0' 'h4/thm/toto/num_dt_distinct_1'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_iff' 'h4/thm/binary_ieee/float_compare2num_11_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_le_mono_r' 'h4/thm/integer/INT_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_compare_succ' 'h4/thm/toto/qk_numeralOrd_5'
0. 'coq/Coq_Reals_RIneq_Req_ge' 'h4/thm/hrat/TRAT_EQ_AP_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_gt_lt_iff' 'h4/thm/rat/rat_gre_def_'
0. 'coq/Coq_NArith_BinNat_N_succ_0_discr' 'h4/thm/transc/EXP_NZ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_add_le' 'h4/thm/real/REAL_ABS_TRIANGLE_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_id' 'h4/thm/patricia_casts/num_to_string_string_to_num_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_succ_r' 'h4/thm/integer/INT_MUL_CALCULATE_2'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_gt_cases' 'h4/thm/integer/INT_LET_TOTAL_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_add_comm' 'h4/thm/hrat/TRAT_ADD_SYM_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_1_l' 'h4/thm/real/REAL_SUB_LZERO_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_le_mono' 'h4/thm/bit/TWOEXP_MONO2_'#@#variant
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_l2i_i2l'#@#variant 'h4/thm/binary_ieee/num2float_compare_float_compare2num_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_pos_r' 'h4/thm/logroot/EXP_LE_ISO_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_nonneg_nonneg' 'h4/thm/realax/TREAL_LT_MUL_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_mul_cancel_r' 'h4/thm/rat/RAT_EQ_RADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_eq_le_incl' 'h4/thm/integer/INT_EQ_IMP_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_lcm_r' 'h4/thm/real/REAL_LE_MAX2_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_clearbit_spec_prime'#@#variant 'h4/thm/real/real_div_'
0. 'coq/Coq_NArith_BinNat_N_lt_total' 'h4/thm/real/REAL_LT_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_le_mono' 'h4/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_add_sub' 'h4/thm/real/REAL_ADD_SUB_ALT_'
0. 'coq/Coq_Arith_Factorial_fact_le' 'h4/thm/bit/TWOEXP_MONO2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_pos'#@#variant 'h4/thm/real/REAL_LT_INV_EQ_'#@#variant
0. 'coq/Coq_Reals_RIneq_Ropp_mult_distr_l_reverse' 'h4/thm/arithmetic/ADD_CLAUSES_2'
0. 'coq/Coq_Reals_Rtrigo_def_sin_antisym' 'h4/thm/DeepSyntax/neginf_def_2'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_neg'#@#variant 'h4/thm/real/REAL_NEG_LE0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_lxor_l' 'h4/thm/complex/COMPLEX_NEG_LDIV_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_abs_lt' 'h4/thm/real/ABS_BOUNDS_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mod_1_r'#@#variant 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRL'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_rem_abs' 'h4/thm/real/ABS_DIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_lt_add_r' 'h4/thm/divides/DIVIDES_MULT_'
0. 'coq/Coq_NArith_BinNat_N_shiftr_div_pow2'#@#variant 'h4/thm/extreal/extreal_div_def_'
0. 'coq/Coq_PArith_BinPos_Pos_min_glb' 'h4/thm/divides/DIVIDES_ADD_1_'
0. 'coq/Coq_ZArith_BinInt_Z_pow_le_mono_r' 'h4/thm/logroot/ROOT_LE_MONO_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_succ_diag_r' 'h4/thm/prim_rec/LESS_SUC_SUC_0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_succ_diag_r' 'h4/thm/divides/INDEX_LESS_PRIMES_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_land_lnot_diag' 'h4/thm/real/REAL_ADD_RINV_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_eq_mul_0_r' 'h4/thm/extreal/add_not_infty_0'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_odd' 'h4/thm/ieee/Fraction_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_le_min_r' 'h4/thm/extreal/min_le2_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div2_succ_double' 'h4/thm/prim_rec/PRE_e1'
0. 'coq/Coq_NArith_BinNat_N_pow_le_mono_r_iff'#@#variant 'h4/thm/integer/INT_LE_MONO_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_log2_up_pos'#@#variant 'h4/thm/transc/LN_POS_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_lt_mono_r' 'h4/thm/arithmetic/LESS_EQ_MONO_ADD_EQ_'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_le_mono_l' 'h4/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_0_l' 'h4/thm/integer/INT_DIV_0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_1_l' 'h4/thm/integer/INT_ADD_REDUCE_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_pos'#@#variant 'h4/thm/real/ABS_NZ_'#@#variant
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_div2' 'h4/thm/extreal/extreal_inv_def_e2'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_succ_not_1' 'h4/thm/intto/BIT1_nz_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_succ_inj_wd' 'h4/thm/transc/EXP_INJ_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_lt_mono_l' 'h4/thm/integer/INT_LE_LADD_'
0. 'coq/Coq_ZArith_BinInt_Z_pred_lt_mono' 'h4/thm/numeral/numeral_lt_3'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lcm_1_r'#@#variant 'h4/thm/arithmetic/DIV2_def_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lxor_0_l' 'h4/thm/realax/TREAL_MUL_LID_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_pred_l' 'h4/thm/real/REAL_MUL_LNEG_'
0. 'coq/Coq_NArith_BinNat_N_min_le_compat_l' 'h4/thm/real/REAL_LT_IADD_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_asymm' 'h4/thm/hreal/HRAT_LT_GT_'
0. 'coq/Coq_QArith_Qfield_Qopp_plus' 'h4/thm/real/REAL_ABS_TRIANGLE_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_mod' 'h4/thm/integer/INT_MOD_CALCULATE_0'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_add_lt_sub_r' 'h4/thm/integer/INT_LT_SUB_LADD_'
0. 'coq/Coq_NArith_BinNat_N_mul_lt_mono_pos_l'#@#variant 'h4/thm/arithmetic/EXP_BASE_LE_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_divide_l' 'h4/thm/extreal/min_le1_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_opp_r' 'h4/thm/rat/RAT_DIV_MULMINV_'
0. 'coq/Coq_ZArith_Zorder_Zplus_lt_compat_l' 'h4/thm/extreal/le_ladd_imp_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_gt_lt_iff' 'h4/thm/arithmetic/GREATER_EQ_'
0. 'coq/Coq_Reals_Rtrigo_calc_Rlt_3PI2_2PI'#@#variant 'h4/thm/real/REAL_HALF_BETWEEN_e2'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_quot_same'#@#variant 'h4/thm/integer/INT_DIV_ID_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_le' 'h4/thm/real/ABS_BOUNDS_'
0. 'coq/Coq_ZArith_BinInt_Z_opp_eq_mul_m1'#@#variant 'h4/thm/arithmetic/ADD1_'#@#variant
0. 'coq/Coq_Numbers_Cyclic_DoubleCyclic_DoubleBase_wwB_wBwB'#@#variant 'h4/thm/real/REAL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_l' 'h4/thm/real/REAL_LE_LADD_IMP_'
0. 'coq/Coq_QArith_Qcanon_Qred_involutive' 'h4/thm/integer/INT_ABS_ABS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lxor_nilpotent' 'h4/thm/arithmetic/SUB_EQUAL_0_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_ltb_lt' 'h4/thm/quote/index_lt_def_'
0. 'coq/Coq_NArith_BinNat_N_sub_diag' 'h4/thm/arithmetic/SUB_EQUAL_0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_nonneg' 'h4/thm/transc/ATN_BOUNDS_0'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_of_Qc' 'h4/thm/extreal/real_normal_'
0. 'coq/Coq_Arith_PeanoNat_Nat_pred_succ' 'h4/thm/numeral_bit/NUMERAL_iDIV2_2'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ones_equiv'#@#variant 'h4/thm/numeral/numeral_suc_1'
0. 'coq/Coq_Arith_PeanoNat_Nat_ldiff_diag' 'h4/thm/arithmetic/ABS_DIFF_EQS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_pos'#@#variant 'h4/thm/transc/LN_POS_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lt_0_sub'#@#variant 'h4/thm/real/REAL_SUB_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_pred_l' 'h4/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_PArith_BinPos_Pos_sub_lt' 'h4/thm/arithmetic/LESS_DIV_EQ_ZERO_'
0. 'coq/Coq_omega_OmegaLemmas_OMEGA2' 'h4/thm/realax/TREAL_LT_MUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_null'#@#variant 'h4/thm/intExtension/INT_SGN_CLAUSES_e2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_inj_wd' 'h4/thm/extreal/eq_neg_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_sub_lt_add_r' 'h4/thm/real/REAL_LE_SUB_RADD_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_lt_m1_0' 'h4/thm/extreal/half_between_tRL'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div2_nonneg'#@#variant 'h4/thm/numeral/numeral_distrib_33'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_of_Q' 'h4/thm/string/char_BIJ_0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_le_mono_r_iff' 'h4/thm/int_arith/justify_divides_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_min_l' 'h4/thm/arithmetic/SUB_LESS_EQ_'
0. 'coq/Coq_Reals_R_sqrt_sqrt_less_alt'#@#variant 'h4/thm/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_le_compat_l' 'h4/thm/real/REAL_LT_IADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_max_l' 'h4/thm/realax/HREAL_LT_ADDL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_ge_cases' 'h4/thm/integer/INT_LTE_TOTAL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_irrefl' 'h4/thm/integer/INT_LT_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_pred_inj_wd' 'h4/thm/numRing/num_rewrites_tRRRRRRRLR'
0. 'coq/Coq_ZArith_Zorder_Zplus_le_compat_r' 'h4/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_nlt' 'h4/thm/arithmetic/NOT_LESS_'
0. 'coq/Coq_Bool_Bool_negb_true_iff' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_neq_0_succ' 'h4/thm/num/ZERO_REP_DEF_'
0. 'coq/Coq_Reals_Cos_plus_cos_plus' 'h4/thm/transc/COS_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_le_mono_r_iff'#@#variant 'h4/thm/transc/RPOW_LE_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_divide_mono_r' 'h4/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Reals_ROrderedType_ROrder_lt_irrefl' 'h4/thm/realax/REAL_LT_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lcm_1_l' 'h4/thm/real/REAL_SUB_LZERO_'
0. 'coq/Coq_Lists_List_map_cons' 'h4/thm/llist/LMAP_e1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_double'#@#variant 'h4/thm/util_prob/neg_lg_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_inj' 'h4/thm/divides/PRIMES_11_'
0. 'coq/Coq_ZArith_Zdiv_Zmod_1_r'#@#variant 'h4/thm/arithmetic/MOD_1_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_square_spec' 'h4/thm/real/REAL_DOUBLE_'#@#variant
0. 'coq/Coq_Bool_Bool_negb_involutive' 'h4/thm/integerRing/int_calculate_12'
0. 'coq/Coq_Sets_Powerset_facts_Union_associative' 'h4/thm/list/APPEND_ASSOC_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_pos_l'#@#variant 'h4/thm/logroot/LT_EXP_ISO_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_1_l' 'h4/thm/real/REAL_MUL_LZERO_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div_pos'#@#variant 'h4/thm/extreal/let_mul_'#@#variant
0. 'coq/Coq_Reals_Rfunctions_powerRZ_NOR' 'h4/thm/real/POW_NZ_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_gcd_greatest' 'h4/thm/divides/DIVIDES_SUB_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_sub_le_add_r' 'h4/thm/integer/INT_LT_ADD_SUB_'
0. 'coq/Coq_NArith_Ndigits_Nless_def_2' 'h4/thm/toto/num_dtOrd_7'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_succ_diag_r' 'h4/thm/numpair/tri_le_'
0. 'coq/Coq_Reals_ROrderedType_ROrder_le_refl' 'h4/thm/rat/RAT_LEQ_REF_'
0. 'coq/Coq_NArith_BinNat_N_le_refl' 'h4/thm/realax/TREAL_EQ_REFL_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_1_r' 'h4/thm/extreal/add_rzero_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_le_mono_r' 'h4/thm/hreal/HRAT_LT_RMUL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_succ_inj_wd' 'h4/thm/rat/RAT_EQ_AINV_'
0. 'coq/Coq_NArith_Ndigits_Nless_def_1' 'h4/thm/toto/num_dtOrd_7'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_iff' 'h4/thm/prelim/ordering_EQ_ordering_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_lteq' 'h4/thm/arithmetic/GREATER_OR_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_lt_lin'#@#variant 'h4/thm/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_opp_neg_pos'#@#variant 'h4/thm/integer/INT_NEG_LT0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_nonzero' 'h4/thm/transc/RPOW_NZ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_diag' 'h4/thm/numeral/iDUB_'
0. 'coq/Coq_Structures_OrderedTypeEx_Z_as_OT_lt_not_eq' 'h4/thm/hreal/HRAT_LT_NE_'
0. 'coq/Coq_NArith_BinNat_N_sqrt_add_le' 'h4/thm/real/ABS_TRIANGLE_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_1' 'h4/thm/intExtension/INT_ABS_CALCULATE_0_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_le_mono_l' 'h4/thm/hreal/HRAT_LT_LMUL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_le_compat_l' 'h4/thm/extreal/le_ladd_imp_'
0. 'coq/Coq_Arith_Lt_lt_le_S' 'h4/thm/bit/BIT_IMP_GE_TWOEXP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_lt_mono' 'h4/thm/real/REAL_LE_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_glb' 'h4/thm/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lcm_divide_iff' 'h4/thm/arithmetic/MAX_LE_e1'
0. 'coq/Coq_QArith_Qminmax_Q_max_min_distr' 'h4/thm/hrat/TRAT_LDISTRIB_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_id' 'h4/thm/arithmetic/MIN_IDEM_'
0. 'coq/Coq_QArith_Qfield_Qopp_plus' 'h4/thm/real/ABS_TRIANGLE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_neq_0_lt_0'#@#variant 'h4/thm/extreal/lt_infty_e6'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_opp_r' 'h4/thm/rat/RAT_AINV_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sub_1_r'#@#variant 'h4/thm/arithmetic/DIV2_def_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_setbit_spec_prime'#@#variant 'h4/thm/integer/int_sub_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_le_mono_l' 'h4/thm/realax/HREAL_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_add_le_sub_r' 'h4/thm/integer/INT_LE_SUB_LADD_'
0. 'coq/Coq_ZArith_Zquot_Zrem_opp_l' 'h4/thm/real/REAL_MUL_LNEG_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_iff' 'h4/thm/ieee/ccode2num_11_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_lt_iff' 'h4/thm/arithmetic/MAX_LE_0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_shiftr' 'h4/thm/complex/COMPLEX_SUB_LNEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mod_mul' 'h4/thm/integer/INT_MOD_COMMON_FACTOR_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_max_l' 'h4/thm/arithmetic/LESS_EQ_ADD_'
0. 'coq/Coq_Init_Peano_le_pred' 'h4/thm/divides/LT_PRIMES_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_lt_mono_l' 'h4/thm/rat/RAT_LES_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_add_r' 'h4/thm/integer/INT_DIVIDES_MUL_0'
0. 'coq/Coq_NArith_BinNat_N_lt_le_incl' 'h4/thm/extreal/lt_imp_le_'
0. 'coq/Coq_Reals_Exp_prop_exp_plus' 'h4/thm/transc/EXP_SUB_'
0. 'coq/Coq_PArith_BinPos_Pos_min_le_compat_l' 'h4/thm/extreal/le_ladd_imp_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_factor_l' 'h4/thm/arithmetic/LESS_EQ_ADD_'
0. 'coq/Coq_PArith_BinPos_Pos_sub_le' 'h4/thm/arithmetic/LESS_DIV_EQ_ZERO_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_ngt' 'h4/thm/arithmetic/NOT_LESS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_lt_mono' 'h4/thm/numeral/numeral_lte_e6'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_pos_pos' 'h4/thm/binary_ieee/le2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_irrefl' 'h4/thm/hreal/HRAT_LT_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_lt_mono' 'h4/thm/transc/EXP_MONO_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pred_succ' 'h4/thm/transc/LN_EXP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_succ_diag_r' 'h4/thm/divides/INDEX_LESS_PRIMES_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_le_mono_pos_r'#@#variant 'h4/thm/real/REAL_LT_RDIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_l' 'h4/thm/real/REAL_MIN_ALT_0'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_nlt' 'h4/thm/real/REAL_NOT_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_le_mono_r' 'h4/thm/real/REAL_LE_SUB_CANCEL2_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_1_r' 'h4/thm/integer/INT_ADD_CALCULATE_1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_succ' 'h4/thm/numRing/num_rewrites_tLLRRRR'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_id' 'h4/thm/extreal/max_refl_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_add_r' 'h4/thm/divides/DIVIDES_SUB_'
0. 'coq/Coq_NArith_BinNat_N_negb_even' 'h4/thm/integerRing/int_ring_thms_e17'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_le_mono' 'h4/thm/prim_rec/LESS_MONO_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ldiff_m1_r'#@#variant 'h4/thm/util_prob/logr_1_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_lt_mono'#@#variant 'h4/thm/real/REAL_LE_MUL2_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_le_max_r' 'h4/thm/extreal/le_max2_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_succ_inj_wd' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_lt_mono_l' 'h4/thm/integer/INT_LT_LADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_mod' 'h4/thm/integer/INT_MOD_PLUS_'#@#variant
0. 'coq/Coq_QArith_Qreduction_Qred_correct' 'h4/thm/numpair/nsnd_le_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_pred_l' 'h4/thm/arithmetic/MULT_e1'
0. 'coq/Coq_NArith_BinNat_N_lt_total' 'h4/thm/hreal/HRAT_LT_TOTAL_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_asymm' 'h4/thm/string/string_lt_antisym_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_le_lin' 'h4/thm/numpair/nsnd_le_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_lt_iff' 'h4/thm/arithmetic/MIN_LT_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_inj_wd' 'h4/thm/rat/RAT_EQ_AINV_'
0. 'coq/Coq_PArith_BinPos_Pos_min_le_iff' 'h4/thm/extreal/min_le_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_quot_1_r' 'h4/thm/HolSmt/r080_'
0. 'coq/Coq_Reals_Ratan_Ropp_div' 'h4/thm/extreal/mul_lneg_'
0. 'coq/Coq_Reals_RIneq_Ropp_involutive' 'h4/thm/real/REAL_NEGNEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_l' 'h4/thm/real/REAL_MIN_ALT_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_alt_dichotomy' 'h4/thm/extreal/le_total_'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_iff' 'h4/thm/integerRing/int_rewrites_tLRRRRRRRRL'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lcm_1_r' 'h4/thm/HolSmt/r223_'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_div2' 'h4/thm/quote/index_size_def_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_sub_le_add_r' 'h4/thm/integer/INT_LE_SUB_RADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_divide_xO_xO' 'h4/thm/arithmetic/LESS_MONO_EQ_'
0. 'coq/Coq_ZArith_BinInt_Z_ldiff_m1_l'#@#variant 'h4/thm/HolSmt/r128_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_wf_0' 'h4/thm/arithmetic/transitive_LESS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_le_trans' 'h4/thm/extreal/lte_trans_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_double_mul' 'h4/thm/complex/COMPLEX_NEG_LMUL_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_pos_pos' 'h4/thm/realax/TREAL_LT_MUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_0_r' 'h4/thm/extreal/le_infty_tRL'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_nle_gt' 'h4/thm/extreal/extreal_lt_def_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_power_pos' 'h4/thm/extreal/pow_pos_le_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_id' 'h4/thm/binary_ieee/num2rounding_rounding2num_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_sub' 'h4/thm/integer/INT_SUB_ADD_'
0. 'coq/Coq_ZArith_BinInt_Z_min_le_compat_l' 'h4/thm/realax/TREAL_LT_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_succ_r' 'h4/thm/complex/COMPLEX_NEG_RMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lcm_diag' 'h4/thm/numeral/iDUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_1_r' 'h4/thm/rat/RAT_SUB_RID_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_setbit_spec_prime'#@#variant 'h4/thm/HolSmt/r131_'#@#variant
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_E_bits_lt_antirefl' 'h4/thm/realax/HREAL_LT_REFL_'
0. 'coq/Coq_ZArith_Znat_Z2Nat_inj_pred' 'h4/thm/extreal/extreal_ainv_def_e2'
0. 'coq/Coq_NArith_BinNat_N_mul_nonneg_nonneg' 'h4/thm/integer/INT_LT_MUL_'
0. 'coq/Coq_NArith_BinNat_N_mul_1_r' 'h4/thm/extreal/sub_rzero_'
0. 'coq/Coq_ZArith_BinInt_Z_max_lub_iff' 'h4/thm/arithmetic/MAX_LE_e1'
0. 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_gt_lt_iff' 'h4/thm/HolSmt/r103_'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_le_mono_l' 'h4/thm/extreal/le_radd_imp_'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_lt_mono_r_iff'#@#variant 'h4/thm/int_arith/justify_divides_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div_lt'#@#variant 'h4/thm/arithmetic/DIV_LESS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_1_r' 'h4/thm/rat/RAT_ADD_RID_'
0. 'coq/Coq_PArith_BinPos_Pos_lt_succ_diag_r' 'h4/thm/prim_rec/LESS_SUC_REFL_'
0. 'coq/Coq_Reals_Ratan_Ropp_div' 'h4/thm/integer/INT_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_nlt_ge' 'h4/thm/arithmetic/NOT_LESS_EQUAL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_lt_mono_r_iff'#@#variant 'h4/thm/arithmetic/EXP_BASE_LT_MONO_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_sin_ge_0'#@#variant 'h4/thm/transc/COS_POS_PI2_LE_'#@#variant
0. 'coq/Coq_ZArith_Zbool_Zgt_is_gt_bool' 'h4/thm/quote/index_lt_def_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_gcd_divide_r' 'h4/thm/extreal/min_le2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_1_r'#@#variant 'h4/thm/arithmetic/PRE_SUB1_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_le_mono_r' 'h4/thm/hreal/HRAT_LT_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_involutive' 'h4/thm/integer/INT_ADD_REDUCE_3'
0. 'coq/Coq_ZArith_Zpower_Zpower_pos_is_exp' 'h4/thm/complex/COMPLEX_RSCALAR_RMUL_SUB_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_id' 'h4/thm/arithmetic/MIN_IDEM_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_lt_mono_r' 'h4/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_irrefl' 'h4/thm/prim_rec/LESS_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mod_le'#@#variant 'h4/thm/arithmetic/DIV_LESS_'#@#variant
0. 'coq/Coq_Arith_Min_min_idempotent' 'h4/thm/gcd/GCD_REF_'
0. 'coq/Coq_MMaps_MMapWeakList_Some_iff' 'h4/thm/fcp/bit1_11_e1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_lt_mono_r' 'h4/thm/arithmetic/LT_ADD_RCANCEL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mod_opp_opp' 'h4/thm/real/ABS_DIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_cancel_l' 'h4/thm/rat/RAT_EQ_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_pos_cancel_r'#@#variant 'h4/thm/real/REAL_LT_RDIV_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_0_succ' 'h4/thm/transc/ATN_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_b2n_div2'#@#variant 'h4/thm/extreal/extreal_sub_def_3'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_xI_r' 'h4/thm/numeral/numeral_exp_1'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_compare_xI_xI' 'h4/thm/quote/index_compare_def_5'
0. 'coq/Coq_PArith_BinPos_Pos_divide_xO_xO' 'h4/thm/numeral/numeral_lt_4'
0. 'coq/Coq_Reals_RIneq_cond_nonneg'#@#variant 'h4/thm/realax/REAL_POS_'#@#variant
0. 'coq/Coq_ZArith_Znat_nat_N_Z' 'h4/thm/complex/MODU_NUM_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_div_same'#@#variant 'h4/thm/integer/INT_DIV_ID_'#@#variant
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_l2i_i2l'#@#variant 'h4/thm/complex/RE_COMPLEX_OF_REAL_'#@#variant
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_succ' 'h4/thm/rat/RAT_AINV_CALCULATE_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_iff' 'h4/thm/integer/INT_EQ_CALCULATE_0'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_pos'#@#variant 'h4/thm/float/twogz_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_lt_mono_pos_l'#@#variant 'h4/thm/integer/INT_LE_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_compare_succ_succ' 'h4/thm/toto/num_dtOrd_e8'
0. 'coq/Coq_PArith_BinPos_Pos_mul_succ_r' 'h4/thm/arithmetic/EXP_e1'
0. 'coq/Coq_ZArith_Znumtheory_rel_prime_mult' 'h4/thm/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_clearbit_spec_prime'#@#variant 'h4/thm/integer/INT_SUB_CALCULATE_'
0. 'coq/Coq_ZArith_BinInt_Z_quot_1_r' 'h4/thm/HolSmt/r214_'
0. 'coq/Coq_PArith_BinPos_Pos_ge_le_iff' 'h4/thm/integer/int_gt_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_glb_lt' 'h4/thm/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_pos_pos' 'h4/thm/integer/INT_LT_MUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_square_nonneg'#@#variant 'h4/thm/real/REAL_LE_SQUARE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_eq_opp_r' 'h4/thm/integer/INT_NEG_EQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_double_mul' 'h4/thm/integer/INT_NEG_LMUL_'
0. 'coq/Coq_Reals_Rpower_exp_le_3'#@#variant 'h4/thm/util_prob/HALF_LT_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_lub' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_e2'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_le_mono' 'h4/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_cancel_r' 'h4/thm/real/REAL_EQ_RADD_'
0. 'coq/Coq_PArith_BinPos_Pos_mul_lt_mono_r' 'h4/thm/hreal/HRAT_LT_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_le_mono' 'h4/thm/real/REAL_POS_MONO_'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_pred' 'h4/thm/complex/COMPLEX_OF_REAL_NEG_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_cancel_l' 'h4/thm/integer/EQ_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_pred_double_succ' 'h4/thm/numeral/numeral_pre_e4'
0. 'coq/Coq_ZArith_BinInt_Z_square_spec' 'h4/thm/numeral/iDUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_eq_mul_0' 'h4/thm/extreal/entire_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_lt_mono_r_iff'#@#variant 'h4/thm/logroot/LE_EXP_ISO_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_b2n_div2'#@#variant 'h4/thm/extreal/extreal_sub_def_3'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_eq_cases' 'h4/thm/integer/INT_LE_CALCULATE_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_eq_cases' 'h4/thm/arithmetic/GREATER_OR_EQ_'
0. 'coq/Coq_NArith_Ndist_ni_min_O_r' 'h4/thm/real/REAL_MUL_RZERO_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_succ_le_mono' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_divide_mul_l' 'h4/thm/arithmetic/LESS_IMP_LESS_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_pos_pos' 'h4/thm/integer/TINT_LT_MUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_1_mul_pos'#@#variant 'h4/thm/real/REAL_LTE_ADD_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_Zpos' 'h4/thm/integer/int_lt_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_sub' 'h4/thm/integer/INT_SUB_ADD_'
0. 'coq/Coq_Reals_Rpower_Rpower_O'#@#variant 'h4/thm/transc/RPOW_0_'#@#variant
0. 'coq/Coq_Init_Peano_plus_n_Sm' 'h4/thm/integer/INT_MUL_CALCULATE_2'
0. 'coq/Coq_Reals_RIneq_Ropp_involutive' 'h4/thm/integer/INT_QUOT_CALCULATE_e4'
0. 'coq/Coq_ZArith_BinInt_Z_gcd_1_l' 'h4/thm/real/REAL_MUL_LZERO_'
0. 'coq/Coq_Reals_R_Ifp_base_fp/1' 'h4/thm/transc/ATN_BOUNDS_e1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_nonneg_pos'#@#variant 'h4/thm/extreal/lte_mul_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_lt_mono_pos_r'#@#variant 'h4/thm/logroot/EXP_LT_ISO_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_log2' 'h4/thm/quote/index_size_def_0'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_neg_iff' 'h4/thm/ieee/ccode2num_11_'
0. 'coq/Coq_NArith_BinNat_N_div_1_r' 'h4/thm/extreal/add_rzero_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mod_1_r'#@#variant 'h4/thm/util_prob/logr_1_'#@#variant
0. 'coq/Coq_Reals_R_Ifp_base_fp/0' 'h4/thm/transc/ATN_BOUNDS_e1'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_le_refl' 'h4/thm/extreal/le_refl_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_succ_l' 'h4/thm/extreal/mul_lneg_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_le_compat_r' 'h4/thm/hrat/TRAT_MUL_WELLDEFINED_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_eq_opp_l' 'h4/thm/integer/INT_NEG_EQ_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_clearbit_spec_prime'#@#variant 'h4/thm/rat/RAT_DIV_MULMINV_'
0. 'coq/Coq_NArith_BinNat_N_max_le_compat_r' 'h4/thm/integer/TINT_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_le_compat_r' 'h4/thm/extreal/le_radd_imp_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_simpl_r' 'h4/thm/integer/INT_SUB_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_wf_0'#@#variant 'h4/thm/prim_rec/WF_LESS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_nlt_ge' 'h4/thm/integer/int_le_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_lt_add_r' 'h4/thm/arithmetic/LESS_IMP_LESS_ADD_'
0. 'coq/Coq_QArith_Qminmax_Q_min_le_iff' 'h4/thm/extreal/min_le_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_neq_0_lt_0' 'h4/thm/arithmetic/NOT_ZERO_LT_ZERO_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_lt_mono_l' 'h4/thm/arithmetic/LE_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_nge' 'h4/thm/real/REAL_NOT_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_lub_iff' 'h4/thm/util_prob/MAX_LE_X_'
0. 'coq/Coq_ZArith_BinInt_Z_abs_nonneg' 'h4/thm/divides/ZERO_LT_PRIMES_'
0. 'coq/Coq_ZArith_BinInt_Z_divide_add_cancel_r' 'h4/thm/poly/POLY_DIVIDES_SUB_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_lt' 'h4/thm/extreal/abs_bounds_lt_'
0. 'coq/Coq_PArith_BinPos_Pos_min_le_compat_r' 'h4/thm/extreal/le_radd_imp_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_square_nonneg'#@#variant 'h4/thm/real/REAL_LE_SQUARE_'#@#variant
0. 'coq/Coq_QArith_Qreduction_Qminus_prime_correct' 'h4/thm/arithmetic/MIN_MAX_LE_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_ltb_lt' 'h4/thm/quote/index_lt_def_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_setbit_spec_prime'#@#variant 'h4/thm/integer/INT_SUB_CALCULATE_'
0. 'coq/Coq_Reals_RIneq_Rle_refl' 'h4/thm/poly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_oppc' 'h4/thm/extreal/extreal_abs_def_0'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_odd' 'h4/thm/realax/hreal_of_real_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_odd_1' 'h4/thm/ieee/Plus_zero_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_Even_succ' 'h4/thm/numeral/numeral_distrib_21'#@#variant
0. 'coq/Coq_Reals_RIneq_Rle_lt_trans' 'h4/thm/extreal/let_trans_'
0. 'coq/Coq_Arith_Mult_mult_le_compat_r' 'h4/thm/integer/TINT_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qplus_inj_l' 'h4/thm/rat/RAT_LES_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_lt_mono_l' 'h4/thm/arithmetic/ADD_MONO_LESS_EQ_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_mod' 'h4/thm/integer/INT_QUOT_'
0. 'coq/Coq_ZArith_BinInt_Z_div_0_l' 'h4/thm/integer/INT_DIV_0_'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_one_neq_zero' 'h4/thm/ieee/roundmode_distinct_2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_le_mono_l' 'h4/thm/integer/LT_LADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pred_succ' 'h4/thm/numRing/num_rewrites_tLLRRRR'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_sub_lt_add_l' 'h4/thm/rat/RAT_LSUB_LES_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_sub_le_add_r' 'h4/thm/real/REAL_LT_ADD_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_lt_mono_r' 'h4/thm/integer/INT_LT_RADD_'
0. 'coq/Coq_PArith_BinPos_Pos_le_min_l' 'h4/thm/arithmetic/SUB_LESS_EQ_'
0. 'coq/Coq_Structures_OrderedTypeEx_PositiveOrderedTypeBits_bits_lt_antirefl' 'h4/thm/integer/INT_LT_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_0_r'#@#variant 'h4/thm/util_prob/logr_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_succ' 'h4/thm/numeral/numeral_iisuc_e2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_neq' 'h4/thm/integral/LT_LE_'
0. 'coq/Coq_NArith_BinNat_N_div2_double' 'h4/thm/bit/LOG2_TWOEXP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_gt_lt_iff' 'h4/thm/real/real_gt_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_eq_mul_0_r' 'h4/thm/extreal/add_not_infty_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_le_mono_r_iff'#@#variant 'h4/thm/int_arith/lt_justify_multiplication_'#@#variant
0. 'coq/Coq_Arith_EqNat_eq_nat_refl' 'h4/thm/extreal/le_refl_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_divide_xO_xO' 'h4/thm/arithmetic/LESS_EQ_MONO_'
0. 'coq/Coq_QArith_QArith_base_Qle_refl' 'h4/thm/integer/INT_DIVIDES_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_lt_add_r' 'h4/thm/divides/DIVIDES_MULT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_inj' 'h4/thm/num/INV_SUC_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_lnot_diag'#@#variant 'h4/thm/rat/RAT_ADD_RINV_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_le_lteq' 'h4/thm/string/string_le_def_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_r' 'h4/thm/arithmetic/LESS_MONO_ADD_'
0. 'coq/Coq_ZArith_BinInt_Z_abs_nonneg' 'h4/thm/transc/ATN_0'#@#variant
0. 'coq/Coq_Reals_RIneq_INR_IZR_INZ' 'h4/thm/realax/hreal_of_real_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_r' 'h4/thm/extreal/le_radd_imp_'
0. 'coq/Coq_PArith_BinPos_Pos_compare_succ_succ' 'h4/thm/toto/num_dtOrd_e8'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_1_mul_pos'#@#variant 'h4/thm/extreal/let_mul_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_ldiff_ldiff_l' 'h4/thm/arithmetic/EXP_EXP_MULT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_add_le' 'h4/thm/real/REAL_ABS_TRIANGLE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_succ_inj_wd' 'h4/thm/transc/EXP_INJ_'
0. 'coq/Coq_ZArith_BinInt_Zopp_mult_distr_r' 'h4/thm/extreal/mul_rneg_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_xO_r' 'h4/thm/arithmetic/ADD_CLAUSES_e3'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_add_le_sub_r' 'h4/thm/extreal/lt_sub_imp_'
0. 'coq/Coq_ZArith_BinInt_Z_negb_odd' 'h4/thm/numRing/num_ring_thms_e17'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_le_compat_r' 'h4/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_gcd_divide_l' 'h4/thm/arithmetic/SUB_LESS_EQ_'
0. 'coq/Coq_Arith_EqNat_eq_eq_nat' 'h4/thm/real/REAL_EQ_IMP_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_inj_wd' 'h4/thm/extreal/eq_neg_'
0. 'coq/Coq_ZArith_BinInt_Z_sgn_opp' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_pred'#@#variant 'h4/thm/hrat/trat_sucint_e1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_pred_l' 'h4/thm/arithmetic/PRE_SUB_'
0. 'coq/Coq_Lists_List_length_zero_iff_nil' 'h4/thm/quantHeuristics/LIST_LENGTH_3_43'
0. 'coq/Coq_Lists_List_length_zero_iff_nil' 'h4/thm/quantHeuristics/LIST_LENGTH_2_28'
0. 'coq/Coq_ZArith_BinInt_Z_add_pos_pos' 'h4/thm/realax/REAL_LT_MUL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_move_l' 'h4/thm/rat/RAT_LSUB_EQ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_pred' 'h4/thm/numeral/DIV2_BIT1_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_involutive' 'h4/thm/frac/FRAC_AINV_AINV_'
0. 'coq/Coq_Arith_Div2_div2_double'#@#variant 'h4/thm/string/IMPLODE_EXPLODE_'#@#variant
0. 'coq/Coq_Sets_Partial_Order_PO_cond2' 'h4/thm/llist/LFINITE_fromList_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lor_diag' 'h4/thm/extreal/max_refl_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_setbit_spec_prime'#@#variant 'h4/thm/extreal/extreal_sub_add_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_pred_double_succ' 'h4/thm/numeral_bit/NUMERAL_iDIV2_4'
0. 'coq/Coq_Sets_Partial_Order_PO_cond1' 'h4/thm/llist/LFINITE_fromList_'
0. 'coq/Coq_NArith_Nnat_N2Nat_id' 'h4/thm/binary_ieee/rounding_BIJ_0'
0. 'coq/Coq_NArith_BinNat_N_mul_1_r' 'h4/thm/integer/INT_ADD_RID_'
0. 'coq/Coq_ZArith_BinInt_Z_land_diag' 'h4/thm/extreal/max_refl_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mod_1_r'#@#variant 'h4/thm/arithmetic/MOD_1_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_max_le_iff' 'h4/thm/arithmetic/MAX_LT_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_inj_wd' 'h4/thm/string/IMPLODE_11_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sub_succ' 'h4/thm/complex/COMPLEX_NEG_DIV2_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_pos_nonneg'#@#variant 'h4/thm/real/REAL_LTE_ADD_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_testbit_even_0'#@#variant 'h4/thm/quote/index_compare_def_3'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_xO_r' 'h4/thm/integer/INT_NEG_RMUL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_ones_equiv'#@#variant 'h4/thm/numRing/num_rewrites_tLRLRR'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_le_compat_r' 'h4/thm/integer/TINT_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sub_le_mono_r' 'h4/thm/integer/INT_LT_RADD_'
0. 'coq/Coq_ZArith_BinInt_Z_opp_involutive' 'h4/thm/integer/INT_REM_CALCULATE_2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_le' 'h4/thm/extreal/abs_bounds_lt_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div_1_r' 'h4/thm/rat/RAT_SUB_RID_'
0. 'coq/Coq_Reals_RIneq_double'#@#variant 'h4/thm/HolSmt/r216_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_div_1_r' 'h4/thm/extreal/sub_rzero_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_le_mono_l' 'h4/thm/arithmetic/LESS_MONO_MULT_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_id' 'h4/thm/ASCIInumbers/toString_toNum_cancel_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_le_mono' 'h4/thm/bit/TWOEXP_MONO2_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_divide_xO_xO' 'h4/thm/numeral/numeral_lte_e6'
0. 'coq/Coq_Reals_R_sqrt_sqrt_lt_R0'#@#variant 'h4/thm/real/REAL_INV_POS_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_sqrt_2' 'h4/thm/extreal/half_between_e2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ldiff_ldiff_l' 'h4/thm/frac/FRAC_SUB_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_succ_r' 'h4/thm/rat/RAT_AINV_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_lt_mono_pos_r'#@#variant 'h4/thm/intExtension/INT_GT_RMUL_EXP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_succ_r_prime' 'h4/thm/arithmetic/MULT_SUC_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_0_sub'#@#variant 'h4/thm/integer/INT_SUB_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_lt_iff' 'h4/thm/arithmetic/MAX_LT_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gt_lt_iff' 'h4/thm/integer/INT_GT_CALCULATE_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_1_l' 'h4/thm/extreal/le_infty_tLL'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_le_mono_nonneg_r'#@#variant 'h4/thm/extreal/le_rmul_imp_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_odd' 'h4/thm/complex/MODU_NUM_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_neq' 'h4/thm/integral/LT_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_succ_diag_r' 'h4/thm/real/ABS_LE_'
0. 'coq/Coq_NArith_BinNat_N_pred_le_mono' 'h4/thm/divides/LT_PRIMES_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ge_le_iff' 'h4/thm/string/string_ge_def_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_le_mono' 'h4/thm/hrat/TRAT_INV_WELLDEFINED_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_le_mono' 'h4/thm/integer/TINT_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_sqrt' 'h4/thm/extreal/extreal_sqrt_def_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftl_1_l'#@#variant 'h4/thm/HolSmt/r129_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_le_mono' 'h4/thm/numeral/numeral_distrib_28'
0. 'coq/Coq_Sets_Uniset_seq_congr' 'h4/thm/sorting/PERM_CONG_'
0. 'coq/Coq_NArith_BinNat_N_lt_succ_diag_r' 'h4/thm/arithmetic/LESS_EQ_SUC_REFL_'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_pred' 'h4/thm/extreal/extreal_exp_def_0'
0. 'coq/Coq_Sorting_Permutation_Permutation_trans' 'h4/thm/rich_list/IS_PREFIX_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_opp_l' 'h4/thm/integer/INT_MUL_CALCULATE_1'
0. 'coq/Coq_Arith_PeanoNat_Nat_odd_sub' 'h4/thm/integer/INT_SUB_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div2_double' 'h4/thm/bit/LOG2_TWOEXP_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_lt_mono_l' 'h4/thm/hreal/HRAT_LT_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_succ_l' 'h4/thm/rat/RAT_AINV_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_succ' 'h4/thm/transc/ATN_TAN_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_nonneg_nonneg' 'h4/thm/binary_ieee/le2_'#@#variant
0. 'coq/Coq_ZArith_Znat_Zabs2Nat_inj_pos' 'h4/thm/complex/MODU_NUM_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_le_mono' 'h4/thm/real/REAL_POS_MONO_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_succ_l' 'h4/thm/extreal/mul_lneg_'
0. 'coq/Coq_NArith_BinNat_N_pow_lt_mono_r_iff' 'h4/thm/rat/RAT_LES_LMUL_POS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_0_l' 'h4/thm/HolSmt/r128_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_pow' 'h4/thm/complex/COMPLEX_NEG_LDIV_'#@#variant
0. 'coq/Coq_NArith_Ndist_ni_le_refl' 'h4/thm/integer/INT_DIVIDES_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_succ_diag_r' 'h4/thm/real/ABS_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_1' 'h4/thm/integerRing/int_rewrites_tRRRRRRRRRRRRRL'
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_nonneg' 'h4/thm/transc/ATN_0'#@#variant
0. 'coq/Coq_Strings_Ascii_ascii_N_embedding' 'h4/thm/realax/TREAL_BIJ_0'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_irrefl' 'h4/thm/integer/TINT_LT_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_nonzero' 'h4/thm/transc/RPOW_NZ_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_succ_l' 'h4/thm/complex/COMPLEX_NEG_LDIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_rem_rem' 'h4/thm/integer/INT_MOD_MOD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_land_diag' 'h4/thm/arithmetic/MAX_IDEM_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_opp_r' 'h4/thm/extreal/extreal_sub_add_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_null_iff' 'h4/thm/real/REAL_NEG_EQ0_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zgt_asym' 'h4/thm/rat/RAT_LES_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div2_div'#@#variant 'h4/thm/arithmetic/DIV2_def_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_pred_succ' 'h4/thm/transc/LN_EXP_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lcm_divide_iff' 'h4/thm/arithmetic/MAX_LE_e1'
0. 'coq/Coq_ZArith_BinInt_Z_div_lt'#@#variant 'h4/thm/arithmetic/DIV_LESS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_add_le' 'h4/thm/real/REAL_ABS_TRIANGLE_'
0. 'coq/Coq_Bool_Bool_orb_negb_r' 'h4/thm/integer/INT_ADD_RINV_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_le_nlt' 'h4/thm/real/real_lte_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_nle' 'h4/thm/rat/RAT_LEQ_LES_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_lub_iff' 'h4/thm/arithmetic/MAX_LT_e1'
0. 'coq/Coq_Arith_Plus_le_plus_l' 'h4/thm/arithmetic/LESS_EQ_ADD_'
0. 'coq/Coq_ZArith_BinInt_Z_min_le_compat_l' 'h4/thm/realax/REAL_LT_IADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_sub_le_add_r' 'h4/thm/arithmetic/SUB_LEFT_LESS_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_lt_mono' 'h4/thm/integerRing/int_rewrites_tLRRRLRRRR'
0. 'coq/Coq_Bool_Bool_diff_false_true' 'h4/thm/ieee/ccode_distinct_3'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_lt_mono_l' 'h4/thm/rat/RAT_LES_LADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_mul_r' 'h4/thm/logroot/EXP_MUL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_irrefl' 'h4/thm/real/REAL_LT_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_lteq' 'h4/thm/rat/rat_leq_def_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_lt_mono_pos_l'#@#variant 'h4/thm/real/REAL_LT_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_1_l' 'h4/thm/extreal/add_lzero_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_divide_lcm_l' 'h4/thm/extreal/le_max1_'
0. 'coq/Coq_NArith_BinNat_N_lt_ge_cases' 'h4/thm/real/REAL_LET_TOTAL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ldiff_land' 'h4/thm/HolSmt/r131_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_neq' 'h4/thm/realax/HREAL_LT_NE_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_succ_lt_mono' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_lt_mono_r_iff'#@#variant 'h4/thm/real/REAL_LT_LMUL_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_le_compat_r' 'h4/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_le_compat_r' 'h4/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_le_compat_r' 'h4/thm/integer/TINT_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_iff' 'h4/thm/integer/INT_QUOT_CALCULATE_2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_null_iff' 'h4/thm/integer/INT_DIV_CALCULATE_3'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_le_sub_le_add_r' 'h4/thm/real/REAL_LT_SUB_RADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_le_mono' 'h4/thm/bit/TWOEXP_MONO_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_le_1_l' 'h4/thm/divides/ONE_DIVIDES_ALL_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_succ_not_1' 'h4/thm/arithmetic/SUC_NOT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_le_mono' 'h4/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_le_mono_l' 'h4/thm/realax/HREAL_LT_LADD_'
0. 'coq/Coq_Reals_RIneq_Rinv_le_contravar'#@#variant 'h4/thm/integral/REAL_LE_INV2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_lt_mono_l' 'h4/thm/real/REAL_LT_LADD_'
0. 'coq/Coq_ZArith_Zquot_Zquot_opp_opp' 'h4/thm/real/REAL_NEG_MUL2_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_0_succ' 'h4/thm/transc/ATN_BOUNDS_0'#@#variant
0. 'coq/Coq_Reals_Rminmax_RHasMinMax_min_l' 'h4/thm/arithmetic/LESS_MOD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_succ' 'h4/thm/numeral/numeral_iisuc_1'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftl_mul_pow2'#@#variant 'h4/thm/real/real_sub_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_2' 'h4/thm/real/REAL_HALF_BETWEEN_e2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftl_opp_r' 'h4/thm/extreal/extreal_sub_add_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_neq_0_succ' 'h4/thm/intto/BIT1_nz_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gt_lt_iff' 'h4/thm/HolSmt/r103_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_le_mono' 'h4/thm/hrat/TRAT_INV_WELLDEFINED_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pred_div2_up' 'h4/thm/complex/COMPLEX_OF_REAL_INV_'#@#variant
0. 'coq/Coq_Reals_Rpower_exp_Ropp' 'h4/thm/numeral/iDUB_removal_1'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_lt' 'h4/thm/int_arith/INT_NUM_DIVIDES_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_le_mono_l' 'h4/thm/arithmetic/LE_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_divide_mono_l' 'h4/thm/integer/TINT_LT_ADD_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_alt_dichotomy' 'h4/thm/arithmetic/LESS_EQ_CASES_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_le_mono' 'h4/thm/bit/TWOEXP_MONO2_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_succ_l' 'h4/thm/real/REAL_MUL_LNEG_'
0. 'coq/Coq_ZArith_Znat_Zabs_N_nat' 'h4/thm/ieee/Exponent_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_cancel_l' 'h4/thm/integer/EQ_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_compare_xI_xI' 'h4/thm/toto/num_dtOrd_e8'
0. 'coq/Coq_ZArith_BinInt_Z_mul_le_mono_pos_l'#@#variant 'h4/thm/real/REAL_LT_LMUL_'#@#variant
0. 'coq/Coq_Bool_Bool_eqb_reflx' 'h4/thm/arithmetic/ABS_DIFF_EQS_'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_le_mono_l' 'h4/thm/hrat/TRAT_MUL_WELLDEFINED_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_pos_r' 'h4/thm/logroot/EXP_LE_ISO_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_inj_wd' 'h4/thm/rat/RAT_EQ_AINV_'
0. 'coq/Coq_ZArith_Znat_Zabs2N_inj_pos' 'h4/thm/hrat/hrat_sucint_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_eqb_eq' 'h4/thm/quote/compare_index_equal_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_lt_mono_r_iff'#@#variant 'h4/thm/real/REAL_LT_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_pos'#@#variant 'h4/thm/transc/EXP_LT_1_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_divide' 'h4/thm/string/char_ge_def_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_id' 'h4/thm/real/REAL_MAX_REFL_'
0. 'coq/Coq_Reals_RIneq_Ropp_div' 'h4/thm/extreal/mul_lneg_'
0. 'coq/Coq_QArith_QArith_base_Qlt_le_weak' 'h4/thm/rat/RAT_LES_IMP_LEQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_le_mono' 'h4/thm/bit/TWOEXP_MONO_'#@#variant
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_div2' 'h4/thm/DeepSyntax/deep_form_size_def_2'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rle_min_compat_r' 'h4/thm/hrat/TRAT_MUL_WELLDEFINED_'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_lt' 'h4/thm/float/REAL_OF_NUM_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mod_1_r'#@#variant 'h4/thm/integer/INT_MOD_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ge_le_iff' 'h4/thm/arithmetic/GREATER_EQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_divide_mono_r' 'h4/thm/integer/TINT_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_inj_wd' 'h4/thm/integral/EQ_SUC_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_succ' 'h4/thm/string/EXPLODE_IMPLODE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_sub_le_add_l' 'h4/thm/rat/RAT_LSUB_LES_'
0. 'coq/Coq_PArith_BinPos_Pos_lt_add_diag_r' 'h4/thm/hreal/HRAT_LT_ADDL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_1_l' 'h4/thm/numeral/numeral_texp_help_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_succ_l' 'h4/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_sqrt' 'h4/thm/quote/index_size_def_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_nle_gt' 'h4/thm/extreal/extreal_lt_def_'
0. 'coq/Coq_ZArith_BinInt_Z_add_pos_pos' 'h4/thm/binary_ieee/le2_'#@#variant
0. 'coq/Coq_ZArith_Znumtheory_rel_prime_1'#@#variant 'h4/thm/integral/LE_0_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_cancel_r' 'h4/thm/arithmetic/EQ_MONO_ADD_EQ_'
0. 'coq/Coq_Reals_Ranalysis4_sinh_lt' 'h4/thm/bit/TWOEXP_MONO_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_le_mono_r' 'h4/thm/integer/INT_LT_RADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lcm_divide_iff' 'h4/thm/extreal/max_le_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_neg'#@#variant 'h4/thm/integer/INT_NEG_LT0_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_pow_succ_r' 'h4/thm/arithmetic/EXP_e1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_min_r' 'h4/thm/extreal/min_le2_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_glb' 'h4/thm/divides/DIVIDES_ADD_1_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_1_2' 'h4/thm/extreal/lt_infty_2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_eq_0' 'h4/thm/gcd/GCD_EQ_0_'
0. 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_gt_lt_iff' 'h4/thm/real/real_ge_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sub_0_le' 'h4/thm/arithmetic/SUB_EQ_0_'
0. 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_ge_le_iff' 'h4/thm/rat/rat_geq_def_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_0_r' 'h4/thm/numeral/numeral_exp_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_le_mono' 'h4/thm/integerRing/int_rewrites_tLRRRLRRR'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_rem_mul' 'h4/thm/integer/INT_REM_COMMON_FACTOR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_trichotomy' 'h4/thm/arithmetic/LESS_LESS_CASES_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_log2' 'h4/thm/DeepSyntax/deep_form_size_def_2'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_cancel_l' 'h4/thm/integer/INT_EQ_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_b2n_div2'#@#variant 'h4/thm/extreal/extreal_sub_def_3'
0. 'coq/Coq_ZArith_BinInt_Zplus_succ_r_reverse' 'h4/thm/integer/INT_MUL_CALCULATE_2'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mod_0_l' 'h4/thm/integer/INT_QUOT_0_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_sqrt' 'h4/thm/extreal/extreal_abs_def_0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_setbit_spec_prime'#@#variant 'h4/thm/extreal/sub_rneg_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_add_distr' 'h4/thm/frac/FRAC_SUB_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_eq_add_0' 'h4/thm/arithmetic/ADD_EQ_0_'
0. 'coq/Coq_ZArith_BinInt_Z_add_neg_neg' 'h4/thm/rat/RAT_LES0_LES0_ADD_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_pos_r'#@#variant 'h4/thm/intExtension/INT_GT_RMUL_EXP_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_pred_l' 'h4/thm/arithmetic/MULT_CLAUSES_4'
0. 'coq/Coq_fourier_Fourier_util_Rlt_zero_pos_plus1'#@#variant 'h4/thm/transc/SQRT_POS_LT_'#@#variant
0. 'coq/Coq_Arith_Mult_mult_le_compat_r' 'h4/thm/extreal/le_radd_imp_'
0. 'coq/Coq_NArith_BinNat_N_Even_succ' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRL'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_pred_of_succ_nat' 'h4/thm/numRing/num_ring_thms_e17'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_null_iff' 'h4/thm/integer/INT_REM_CALCULATE_e4'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_succ_l' 'h4/thm/complex/COMPLEX_NEG_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_div2_double'#@#variant 'h4/thm/numeral/DIV2_BIT1_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_opp' 'h4/thm/complex/COMPLEX_OF_REAL_NEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_ngt' 'h4/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_1_l'#@#variant 'h4/thm/rat/RAT_SUB_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sub_diag' 'h4/thm/arithmetic/ABS_DIFF_EQS_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_lub_lt_iff' 'h4/thm/arithmetic/MAX_LT_e1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_le_mono_r'#@#variant 'h4/thm/real/REAL_LT_LMUL_IMP_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lxor_eq_0_iff' 'h4/thm/integer/INT_SUB_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_1_l' 'h4/thm/real/REAL_MUL_LZERO_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pos_pred_succ' 'h4/thm/binary_ieee/num2float_compare_float_compare2num_'
0. 'coq/Coq_Reals_Rtrigo_calc_rad_deg' 'h4/thm/numeral/numeral_add_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_0_r' 'h4/thm/integer/INT_DIVIDES_0_0'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_pos_l'#@#variant 'h4/thm/int_arith/justify_divides_'#@#variant
0. 'coq/Coq_ZArith_Znat_Z2Nat_inj_pos' 'h4/thm/ieee/Fraction_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z2Pos_inj_sqrt' 'h4/thm/DeepSyntax/deep_form_size_def_2'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lcm_least' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_e2'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_eq_le_incl' 'h4/thm/integer/TINT_EQ_AP_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_iff' 'h4/thm/ieee/roundmode2num_11_'
0. 'coq/Coq_PArith_Pnat_Nat2Pos_inj_sub' 'h4/thm/integer/INT_MOD_'
0. 'coq/Coq_Bool_Bool_diff_false_true' 'h4/thm/prelim/ordering_distinct_1'
0. 'coq/Coq_ZArith_BinInt_Z_lnot_involutive' 'h4/thm/real/REAL_NEGNEG_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_comparec' 'h4/thm/toto/charOrd_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_succ_lt_mono' 'h4/thm/arithmetic/LESS_MONO_EQ_'
0. 'coq/Coq_NArith_BinNat_N_div_1_r' 'h4/thm/integer/INT_ADD_RID_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_opp' 'h4/thm/float/REAL_ABS_INV_'
0. 'coq/Coq_Arith_PeanoNat_Nat_double_twice'#@#variant 'h4/thm/extreal/inv_1over_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1__PI2_RLT_0'#@#variant 'h4/thm/real/REAL_THIRDS_BETWEEN_tLRL'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_nle' 'h4/thm/real/real_lt_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_le' 'h4/thm/int_arith/INT_NUM_DIVIDES_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_le_trans' 'h4/thm/real/REAL_LTE_TRANS_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_0_r' 'h4/thm/divides/ALL_DIVIDES_0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_eq_le_incl' 'h4/thm/integer/TINT_EQ_AP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_move_r' 'h4/thm/rat/RAT_RSUB_EQ_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_ge_le_iff' 'h4/thm/string/string_ge_def_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_lt_mono_pos_r' 'h4/thm/logroot/EXP_LT_ISO_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_id' 'h4/thm/gcd/GCD_REF_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_irrefl' 'h4/thm/integer/TINT_LT_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_lteq' 'h4/thm/extreal/le_lt_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_lt_lin'#@#variant 'h4/thm/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lt_succ_diag_r' 'h4/thm/arithmetic/LESS_EQ_SUC_REFL_'
0. 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_gt_lt_iff' 'h4/thm/integer/INT_GT_CALCULATE_'
0. 'coq/Coq_ZArith_Zorder_Zlt_not_le' 'h4/thm/integer/INT_LTE_ANTSYM_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gt_lt_iff' 'h4/thm/string/string_gt_def_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_opp_r' 'h4/thm/integer/INT_DIVIDES_NEG_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_lub_lt_iff' 'h4/thm/arithmetic/MAX_LT_e1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_Zpos' 'h4/thm/string/char_ge_def_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_eq_0' 'h4/thm/intExtension/INT_NO_ZERODIV_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_even' 'h4/thm/realax/hreal_of_real_'#@#variant
0. 'coq/Coq_NArith_Nnat_N2Nat_id' 'h4/thm/prelim/ordering_BIJ_0'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_eq_cases' 'h4/thm/extreal/le_lt_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_divide_cancel_r' 'h4/thm/int_arith/INT_DIVIDES_LRMUL_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_max_lub_lt_iff' 'h4/thm/arithmetic/MAX_LT_e1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_1_r' 'h4/thm/rat/RAT_SUB_RID_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_factor_r' 'h4/thm/real/REAL_LE_MAX2_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_le' 'h4/thm/float/REAL_OF_NUM_LT_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_lteq' 'h4/thm/integer/INT_LE_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_eq_cases' 'h4/thm/integer/INT_LE_CALCULATE_'
0. 'coq/Coq_Reals_RIneq_Rplus_opp_l' 'h4/thm/real/REAL_ADD_LINV_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qinv_lt_0_compat'#@#variant 'h4/thm/real/REAL_INV_POS_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_max_id' 'h4/thm/real/REAL_MAX_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_eq_cases' 'h4/thm/arithmetic/GREATER_OR_EQ_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_le_compat_l' 'h4/thm/real/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_opp' 'h4/thm/DeepSyntax/posinf_def_2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_involutive' 'h4/thm/integer/INT_MOD_CALCULATE_2'
0. 'coq/Coq_Reals_RIneq_Ropp_Ropp_IZR' 'h4/thm/toto/num_dt_size_def_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_quot_pos'#@#variant 'h4/thm/real/REAL_LTE_ADD_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_nonneg' 'h4/thm/transc/ATN_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_ngt' 'h4/thm/HolSmt/r096_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lnot_0_l' 'h4/thm/util_prob/lg_def_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_le_mono_pos_l'#@#variant 'h4/thm/arithmetic/EXP_BASE_LT_MONO_'#@#variant
0. 'coq/Coq_Reals_Rfunctions_RPow_abs' 'h4/thm/real/POW_ABS_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ldiff_m1_r'#@#variant 'h4/thm/numeral/numeral_distrib_11'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_le_mono_r_iff'#@#variant 'h4/thm/arithmetic/EXP_BASE_LT_MONO_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rminus_0_l' 'h4/thm/util_prob/lg_def_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_eq_1'#@#variant 'h4/thm/arithmetic/ADD_EQ_0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lcm_1_r' 'h4/thm/integer/INT_ADD_CALCULATE_1'
0. 'coq/Coq_NArith_BinNat_N_max_lub_iff' 'h4/thm/extreal/max_le_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_le_compat_l' 'h4/thm/integer/INT_LT_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_nlt_ge' 'h4/thm/integer/int_le_'
0. 'coq/Coq_FSets_FSetPositive_PositiveSet_E_bits_lt_antirefl' 'h4/thm/integer/TINT_LT_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_lt_add_r' 'h4/thm/arithmetic/LESS_IMP_LESS_ADD_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_l2i_i2l'#@#variant 'h4/thm/prelim/num2ordering_ordering2num_'
0. 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_le_lt_iff' 'h4/thm/extreal/extreal_lt_def_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_pos_neg'#@#variant 'h4/thm/extreal/mul_le_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_eq_mul_1'#@#variant 'h4/thm/arithmetic/MULT_EQ_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_lub_iff' 'h4/thm/util_prob/MAX_LE_X_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_nonneg' 'h4/thm/transc/ATN_BOUNDS_0'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_succ_l' 'h4/thm/arithmetic/MULT_e1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_lub_lt_iff' 'h4/thm/extreal/max_le_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_of_Z' 'h4/thm/real/NUM_FLOOR_EQNS_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_1_r' 'h4/thm/extreal/add_rzero_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_divide_mono_r' 'h4/thm/integer/TINT_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rmult_le_compat'#@#variant 'h4/thm/integer/INT_LT_MUL2_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_nonneg'#@#variant 'h4/thm/real/REAL_LT_MUL2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pred_succ' 'h4/thm/numpair/invtri_linverse_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_even_sub' 'h4/thm/float/REAL_OF_NUM_SUB_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_succ_m1'#@#variant 'h4/thm/real/REAL_THIRDS_BETWEEN_2'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_lcm_r' 'h4/thm/integer/INT_DIVIDES_MUL_e1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sub_add_distr' 'h4/thm/frac/FRAC_SUB_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div2_succ_double' 'h4/thm/numpair/invtri_linverse_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_compare_succ_succ' 'h4/thm/toto/qk_numeralOrd_5'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_cancel_l' 'h4/thm/arithmetic/EQ_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_refl' 'h4/thm/realax/TREAL_EQ_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ldiff_land' 'h4/thm/real/real_div_'
0. 'coq/Coq_NArith_Ndigits_Nless_def_2' 'h4/thm/toto/numeralOrd_6'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_Odd_succ' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRL'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_lt_mono_pos_l'#@#variant 'h4/thm/arithmetic/EXP_BASE_LE_MONO_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftl_1_l'#@#variant 'h4/thm/HolSmt/r221_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_lt_mono_r' 'h4/thm/hreal/HRAT_LT_RMUL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_pred_of_succ_nat' 'h4/thm/frac/frac_sgn_def_'
0. 'coq/Coq_NArith_Ndigits_Nless_def_1' 'h4/thm/toto/numeralOrd_6'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_rem_1_r'#@#variant 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRL'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_nle_succ_0' 'h4/thm/integer/INT_ABS_LT0_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lxor_eq_0_iff' 'h4/thm/rat/RAT_EQ_SUB0_'#@#variant
0. 'coq/Coq_ZArith_Zdiv_Z_mod_same_full' 'h4/thm/real/REAL_SUB_REFL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lt_add_lt_sub_r' 'h4/thm/integer/INT_LT_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_cancel_l' 'h4/thm/integer/EQ_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_lt_mono'#@#variant 'h4/thm/integer/INT_LT_MUL2_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_sub' 'h4/thm/arithmetic/ADD_SUB_'
0. 'coq/Coq_Reals_RIneq_Rplus_lt_le_compat' 'h4/thm/real/REAL_LTE_ADD2_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_gcd_divide_iff' 'h4/thm/arithmetic/MIN_LE_e1'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lor_0_l' 'h4/thm/realax/TREAL_ADD_LID_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_le_mono_l' 'h4/thm/hreal/HRAT_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_lub_lt_iff' 'h4/thm/arithmetic/MAX_LT_e1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_1' 'h4/thm/numeral/numeral_pre_1'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_le_mono_l' 'h4/thm/real/REAL_LE_LADD_'
0. 'coq/Coq_PArith_BinPos_Pos_min_id' 'h4/thm/arithmetic/MIN_IDEM_'
0. 'coq/Coq_Sets_Powerset_Union_increases_l' 'h4/thm/rich_list/IS_PREFIX_APPEND3_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_lt_mono_pos_l'#@#variant 'h4/thm/transc/RPOW_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_rem_1_r'#@#variant 'h4/thm/integer/INT_MOD_1_'#@#variant
0. 'coq/Coq_Init_Datatypes_CompOpp_iff' 'h4/thm/complex/COMPLEX_NEG_EQ_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qinv_le_0_compat'#@#variant 'h4/thm/extreal/sqrt_pos_le_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_pred' 'h4/thm/numRing/num_rewrites_tLLRRRR'#@#variant
0. 'coq/Coq_NArith_Ndist_ni_le_total' 'h4/thm/real/REAL_LE_TOTAL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_1_r'#@#variant 'h4/thm/arithmetic/PRE_SUB1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_xO_r' 'h4/thm/complex/COMPLEX_NEG_RDIV_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_lt_mono_r_iff'#@#variant 'h4/thm/transc/RPOW_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_succ_l' 'h4/thm/integer/INT_MUL_CALCULATE_1'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_lteq' 'h4/thm/integer/INT_LE_LT_'
0. 'coq/Coq_ZArith_Znumtheory_Zis_gcd_0' 'h4/thm/gcd/IS_GCD_0R_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_gt_lt_iff' 'h4/thm/integer/INT_GT_CALCULATE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lcm_1_r' 'h4/thm/rat/RAT_ADD_RID_'
0. 'coq/Coq_PArith_BinPos_Pos_max_le_compat_l' 'h4/thm/extreal/le_ladd_imp_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_le_mono_l' 'h4/thm/real/REAL_LE_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_ge_le_iff' 'h4/thm/string/string_gt_def_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_le_compat_r' 'h4/thm/integer/TINT_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_lt_mono_nonneg'#@#variant 'h4/thm/integer/INT_LT_MUL2_'#@#variant
0. 'coq/Coq_Reals_Exp_prop_div2_double'#@#variant 'h4/thm/string/EXPLODE_IMPLODE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_inj_wd' 'h4/thm/extreal/eq_neg_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_eq_0' 'h4/thm/real/REAL_ENTIRE_'#@#variant
0. 'coq/Coq_ZArith_Zeven_Zeven_not_Zodd' 'h4/thm/float/FLOAT_DISTINCT_0'
0. 'coq/Coq_NArith_BinNat_N_add_succ_l' 'h4/thm/frac/FRAC_AINV_LMUL_'
0. 'coq/Coq_ZArith_BinInt_Z_sgn_null_iff' 'h4/thm/integer/INT_DIV_CALCULATE_3'#@#variant
0. 'coq/Coq_Reals_RIneq_Rplus_opp_l' 'h4/thm/realax/REAL_ADD_LINV_'
0. 'coq/Coq_PArith_Pnat_Nat2Pos_inj_pred' 'h4/thm/DeepSyntax/deep_form_size_def_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_add_r' 'h4/thm/arithmetic/EXP_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_pred_l' 'h4/thm/numpair/nsnd_le_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_nonneg_nonneg' 'h4/thm/integer/TINT_LT_MUL_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_odd' 'h4/thm/extreal/extreal_of_num_def_'
0. 'coq/Coq_ZArith_Znat_Z2N_inj_div2' 'h4/thm/toto/num_dt_size_def_e2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_succ_l' 'h4/thm/complex/COMPLEX_NEG_LDIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_le_mono' 'h4/thm/bit/TWOEXP_MONO_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_clearbit_spec_prime'#@#variant 'h4/thm/integer/INT_SUB_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mod_1_l'#@#variant 'h4/thm/arithmetic/ZERO_DIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_succ_l' 'h4/thm/arithmetic/MULT_CLAUSES_4'
0. 'coq/Coq_Arith_Lt_nat_total_order' 'h4/thm/string/string_lt_cases_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_rem_opp_l_prime' 'h4/thm/arithmetic/ADD_CLAUSES_2'
0. 'coq/Coq_Numbers_Natural_BigN_Nbasic_base_xO'#@#variant 'h4/thm/rat/RAT_OF_NUM_e1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_quot_0_l' 'h4/thm/integer/INT_QUOT_0_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qlt_not_le' 'h4/thm/integer/INT_LTE_ANTSYM_'
0. 'coq/Coq_NArith_BinNat_N_sqrt_1' 'h4/thm/real/REAL_ABS_0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftr_opp_r' 'h4/thm/real/REAL_SUB_RNEG_'
0. 'coq/Coq_ZArith_BinInt_Z_opp_pred' 'h4/thm/numeral_bit/numeral_ilog2_e2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_1_l'#@#variant 'h4/thm/divides/ONE_DIVIDES_ALL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_divide_cancel_r' 'h4/thm/int_arith/INT_DIVIDES_LRMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lxor_eq_0_iff' 'h4/thm/rat/RAT_EQ_SUB0_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_lt_mono_l' 'h4/thm/integer/INT_LT_LADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_0_l' 'h4/thm/HolSmt/r129_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_opp' 'h4/thm/transc/SIN_NEG_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_1_l' 'h4/thm/HolSmt/r221_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_PositiveOrderedTypeBits_bits_lt_antirefl' 'h4/thm/extreal/lt_refl_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_nle_succ_0' 'h4/thm/integer/INT_ABS_LT0_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_min_lt_iff' 'h4/thm/real/REAL_MIN_LE_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_succ_le_mono' 'h4/thm/integerRing/int_rewrites_tLRRRRLRRR'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_inj' 'h4/thm/divides/PRIMES_11_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_add_pos_r'#@#variant 'h4/thm/extreal/le_addr_imp_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div_mul' 'h4/thm/real/REAL_DIV_RMUL_'#@#variant
0. 'coq/Coq_ZArith_Znumtheory_not_prime_1'#@#variant 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_ZArith_Znat_Nat2Z_is_nonneg'#@#variant 'h4/thm/binary_ieee/zero_le_twopow_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qplus_lt_r' 'h4/thm/integer/LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_max_r' 'h4/thm/hreal/HRAT_LT_ADDR_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_wf_0' 'h4/thm/prim_rec/WF_LESS_'
0. 'coq/Coq_QArith_Qreduction_Qmult_prime_correct' 'h4/thm/arithmetic/MIN_MAX_LE_'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_lt_antirefl' 'h4/thm/extreal/lt_refl_'
0. 'coq/Coq_Reals_Rminmax_R_minus_min_distr_l' 'h4/thm/transc/RPOW_SUB_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_divide_mono_r' 'h4/thm/hrat/TRAT_ADD_WELLDEFINED_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_lt_add_r' 'h4/thm/integer/INT_DIVIDES_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_le_mono_r' 'h4/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_clearbit_spec_prime'#@#variant 'h4/thm/complex/COMPLEX_SUB_RNEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div2_nonneg'#@#variant 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Reals_Raxioms_R1_neq_R0' 'h4/thm/prelim/ordering_distinct_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_le_mono' 'h4/thm/numpair/tri_LE_'
0. 'coq/Coq_NArith_BinNat_N_log2_shiftr' 'h4/thm/integer/INT_SUB_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_total' 'h4/thm/arithmetic/LESS_CASES_IMP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_le_incl' 'h4/thm/real/REAL_LT_IMP_LE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_le_succ_r' 'h4/thm/prim_rec/LESS_SUC_'
0. 'coq/Coq_PArith_BinPos_Pos_lt_irrefl' 'h4/thm/realax/REAL_LT_REFL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_ge_cases' 'h4/thm/arithmetic/LESS_CASES_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_cancel_l' 'h4/thm/integer/EQ_LADD_'
0. 'coq/Coq_ZArith_Zorder_Zgt_asym' 'h4/thm/extreal/lt_antisym_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lcm_1_l' 'h4/thm/real/REAL_SUB_LZERO_'
0. 'coq/Coq_ZArith_BinInt_Z_max_le_compat_l' 'h4/thm/realax/TREAL_LT_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_min_distr_l' 'h4/thm/transc/RPOW_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ldiff_land' 'h4/thm/real/real_sub_'
0. 'coq/Coq_Reals_AltSeries_PI_tg_pos' 'h4/thm/realax/REAL_POS_'
0. 'coq/Coq_PArith_BinPos_Pos_square_spec' 'h4/thm/arithmetic/TIMES2_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_lt_total' 'h4/thm/hreal/HRAT_LT_TOTAL_'
0. 'coq/Coq_NArith_BinNat_N_shiftl_shiftl' 'h4/thm/frac/FRAC_SUB_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_neq' 'h4/thm/realax/HREAL_LT_NE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_double_twice'#@#variant 'h4/thm/integer/INT_NEG_MINUS1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_r' 'h4/thm/hrat/TRAT_MUL_WELLDEFINED_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_nonneg'#@#variant 'h4/thm/real/REAL_NEG_GT0_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_iff' 'h4/thm/patricia_casts/string_to_num_11_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_succ_inj' 'h4/thm/num/INV_SUC_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_pred_l' 'h4/thm/real/REAL_MUL_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_quot_1_r' 'h4/thm/extreal/add_rzero_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_pos_r'#@#variant 'h4/thm/real/REAL_LE_RMUL_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_le_sub_le_add_r' 'h4/thm/real/REAL_LT_SUB_RADD_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_succ' 'h4/thm/extreal/extreal_inv_def_e2'
0. 'coq/Coq_QArith_Qpower_Qsqr_nonneg'#@#variant 'h4/thm/real/REAL_LE_POW2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_cancel_r' 'h4/thm/arithmetic/EQ_MONO_ADD_EQ_'
0. 'coq/Coq_Reals_Rpower_exp_le_3'#@#variant 'h4/thm/extreal/half_between_tRL'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lcm_eq_0' 'h4/thm/arithmetic/MULT_EQ_0_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lxor_eq_0_iff' 'h4/thm/integer/INT_SUB_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_sub_le_add_r' 'h4/thm/integer/INT_LE_SUB_LADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_refl' 'h4/thm/integer/INT_LE_REFL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gt_lt_iff' 'h4/thm/string/string_gt_def_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_Nbasic_base_xO'#@#variant 'h4/thm/real/REAL_OF_NUM_SUC_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_log2_up_double'#@#variant 'h4/thm/util_prob/neg_lg_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lt_nge' 'h4/thm/arithmetic/NOT_LESS_EQUAL_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_of_Q' 'h4/thm/binary_ieee/rounding_BIJ_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_le_mono_l' 'h4/thm/realax/HREAL_LT_LADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mod_mul' 'h4/thm/integer/INT_REM_COMMON_FACTOR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_add_lt_sub_r' 'h4/thm/real/REAL_LT_SUB_LADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_l' 'h4/thm/real/REAL_LT_IADD_'
0. 'coq/Coq_Reals_Rtrigo_def_sin_no_R0' 'h4/thm/binary_ieee/float_value_distinct_1'
0. 'coq/Coq_NArith_BinNat_N_pow_le_mono_r_iff'#@#variant 'h4/thm/logroot/LT_EXP_ISO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_0_l' 'h4/thm/numeral/numeral_texp_help_0'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_ge_le_iff' 'h4/thm/integer/int_gt_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_lt_mono' 'h4/thm/integerRing/int_rewrites_tLRRRRLRRR'
0. 'coq/Coq_Arith_Even_odd_plus_l' 'h4/thm/integer/INT_LTE_ADD_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pred_sub'#@#variant 'h4/thm/arithmetic/DIV2_def_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_add_le' 'h4/thm/real/REAL_ABS_TRIANGLE_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_pred_l' 'h4/thm/numpair/nfst_le_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_inj_wd' 'h4/thm/complex/CONJ_EQ2_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_le_lt_mono' 'h4/thm/real/REAL_LET_ADD2_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_divide_mono_l' 'h4/thm/integer/INT_LT_LADD_IMP_'
0. 'coq/Coq_NArith_BinNat_N_le_min_r' 'h4/thm/real/REAL_MIN_LE2_'
0. 'coq/Coq_Reals_Raxioms_R1_neq_R0' 'h4/thm/ieee/roundmode_distinct_0'
0. 'coq/Coq_Reals_Rpower_ln_Rinv'#@#variant 'h4/thm/transc/LN_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_mul_r' 'h4/thm/frac/FRAC_SUB_ADD_'
0. 'coq/Coq_ZArith_Znat_Zabs2N_id' 'h4/thm/ieee/num2roundmode_roundmode2num_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_lub_iff' 'h4/thm/arithmetic/MAX_LT_e1'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_pos'#@#variant 'h4/thm/frac/FRAC_DNMPOS_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_le_succ_diag_r' 'h4/thm/bit/BIT_B_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_ones_equiv'#@#variant 'h4/thm/numeral/numeral_pre_e4'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_sub_lt_add_r' 'h4/thm/extreal/lt_sub_imp_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_le_compat_l' 'h4/thm/realax/REAL_LT_IADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_succ_lt_mono' 'h4/thm/numeral/numeral_lt_4'
0. 'coq/Coq_NArith_BinNat_N_le_max_l' 'h4/thm/arithmetic/LESS_EQ_ADD_'
0. 'coq/Coq_ZArith_BinInt_Z_log2_pos'#@#variant 'h4/thm/transc/LN_POS_'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qcdiv_mult_l'#@#variant 'h4/thm/integer/INT_DIV_RMUL_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_succ_inj_wd' 'h4/thm/transc/EXP_MONO_LT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_1' 'h4/thm/intExtension/INT_ABS_CALCULATE_0_'
0. 'coq/Coq_Reals_Raxioms_R1_neq_R0' 'h4/thm/binary_ieee/float_compare_distinct_1'
0. 'coq/Coq_Reals_RIneq_Rmult_lt_reg_r'#@#variant 'h4/thm/float/REAL_LE_RCANCEL_IMP_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zplus_le_compat_r' 'h4/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lnot_0_l' 'h4/thm/integer/INT_SUB_REDUCE_1'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qlt_le_trans' 'h4/thm/real/REAL_LTE_TRANS_'
0. 'coq/Coq_ZArith_BinInt_Z_le_lteq' 'h4/thm/rat/rat_leq_def_'
0. 'coq/Coq_ZArith_BinInt_Z_lnot_ldiff' 'h4/thm/complex/COMPLEX_SUB_LNEG_'#@#variant
0. 'coq/Coq_Reals_Ratan_Alt_PI_eq' 'h4/thm/rat/RAT_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_1_l' 'h4/thm/rat/RAT_MUL_LZERO_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_antisym' 'h4/thm/arithmetic/LESS_EQUAL_ANTISYM_'
0. 'coq/Coq_NArith_BinNat_N_pow_lt_mono'#@#variant 'h4/thm/real/REAL_LE_MUL2_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_even_opp' 'h4/thm/complex/MODU_CONJ_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_lt_mono_nonneg'#@#variant 'h4/thm/integer/INT_LT_MUL2_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_glb' 'h4/thm/divides/DIVIDES_SUB_'
0. 'coq/Coq_Arith_Mult_mult_is_O' 'h4/thm/intExtension/INT_NOT0_MUL_'#@#variant
0. 'coq/Coq_Bool_Bool_negb_xorb_l' 'h4/thm/complex/COMPLEX_MUL_LNEG_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ldiff_land' 'h4/thm/integer/int_sub_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_1' 'h4/thm/integer/INT_NEG_0_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_irrefl' 'h4/thm/hreal/HRAT_LT_REFL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lcm_1_r'#@#variant 'h4/thm/arithmetic/DIV2_def_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_lt_mono_r' 'h4/thm/hreal/HRAT_LT_RMUL_'
0. 'coq/Coq_PArith_BinPos_Pos_compare_xO_xO' 'h4/thm/toto/qk_numeralOrd_6'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_iff' 'h4/thm/binary_ieee/float_compare2num_11_'
0. 'coq/Coq_Reals_RIneq_Rplus_ge_compat_r' 'h4/thm/integer/TINT_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Reals_Raxioms_R1_neq_R0' 'h4/thm/toto/all_cpn_distinct_tLL'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_1_mul_pos'#@#variant 'h4/thm/util_prob/REAL_LE_LT_MUL_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Zle_Qle' 'h4/thm/extreal/extreal_lt_eq_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_wf_0' 'h4/thm/toto/StrongLinearOrder_LESS_'
0. 'coq/Coq_Bool_Bool_negb_false_iff' 'h4/thm/numeral/numeral_distrib_17'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_double_mul' 'h4/thm/arithmetic/ADD_e1'
0. 'coq/Coq_ZArith_BinInt_Z_sub_cancel_r' 'h4/thm/arithmetic/EQ_MONO_ADD_EQ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_inj_wd' 'h4/thm/real/REAL_INV_INJ_'
0. 'coq/Coq_PArith_BinPos_Pos_add_succ_l' 'h4/thm/arithmetic/ADD_e1'
0. 'coq/Coq_ZArith_BinInt_Z_le_0_sub'#@#variant 'h4/thm/integer/INT_SUB_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_add_lt_sub_r' 'h4/thm/real/REAL_LE_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_inj_wd' 'h4/thm/toto/num_dt_11_e1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_succ_l' 'h4/thm/arithmetic/PRE_SUB_'
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_Rabsolu' 'h4/thm/integer/INT_ABS_ABS_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_lxor_r' 'h4/thm/arithmetic/ADD_CLAUSES_e3'
0. 'coq/Coq_NArith_BinNat_N_div2_double' 'h4/thm/string/IMPLODE_EXPLODE_'#@#variant
0. 'coq/Coq_Bool_Bool_andb_true_iff' 'h4/thm/arithmetic/MULT_EQ_1_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_reg_r' 'h4/thm/integer/INT_EQ_RMUL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_id' 'h4/thm/real/REAL_MAX_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_le_mono_r' 'h4/thm/hreal/HRAT_LT_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_lt_mono_l' 'h4/thm/real/REAL_LT_LADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_greatest' 'h4/thm/divides/DIVIDES_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_move_r' 'h4/thm/real/REAL_EQ_SUB_LADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_add_r' 'h4/thm/realax/HREAL_LT_ADDL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_inj_wd' 'h4/thm/real/REAL_EQ_NEG_'
0. 'coq/Coq_QArith_Qminmax_Q_min_le_compat_r' 'h4/thm/arithmetic/LESS_MONO_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_refl' 'h4/thm/real/REAL_LE_REFL_'
0. 'coq/Coq_Lists_Streams_EqSt_reflex' 'h4/thm/rich_list/IS_SUFFIX_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_divide_opp_r' 'h4/thm/integer/INT_DIVIDES_NEG_0'
0. 'coq/Coq_ZArith_Znumtheory_Zgcd_1_rel_prime'#@#variant 'h4/thm/arithmetic/SUB_EQ_0_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_lt_mono_l' 'h4/thm/rat/RAT_LES_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_succ' 'h4/thm/transc/ATN_e2'
0. 'coq/Coq_QArith_Qminmax_Q_max_lub_lt_iff' 'h4/thm/extreal/max_le_'
0. 'coq/Coq_Arith_PeanoNat_Nat_compare_succ' 'h4/thm/toto/numeralOrd_5'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_max_l' 'h4/thm/real/REAL_LE_MAX1_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_lt' 'h4/thm/string/char_gt_def_'
0. 'coq/Coq_Bool_Bool_negb_involutive' 'h4/thm/integer/INT_ADD_REDUCE_3'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_sub_r' 'h4/thm/divides/DIVIDES_SUB_'
0. 'coq/Coq_Bool_Bool_diff_false_true' 'h4/thm/rat/RAT_1_NOT_0_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rmin_glb_lt' 'h4/thm/divides/DIVIDES_SUB_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_sqrt' 'h4/thm/rat/RAT_AINV_CALCULATE_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_trichotomy' 'h4/thm/realax/REAL_LT_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_pred' 'h4/thm/complex/COMPLEX_EXP_NEG_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_abs' 'h4/thm/complex/COMPLEX_OF_REAL_NEG_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_quot_str_pos' 'h4/thm/bit/DIV_GT0_'
0. 'coq/Coq_QArith_QArith_base_Qnot_le_lt' 'h4/thm/real/REAL_LET_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_pos_nonneg'#@#variant 'h4/thm/extreal/lte_add_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_antisym' 'h4/thm/rat/RAT_LEQ_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_lcm_l' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_0'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_pred_succ' 'h4/thm/transc/ATN_TAN_'
0. 'coq/Coq_ZArith_Zlogarithm_ZERO_le_N_digits' 'h4/thm/divides/ZERO_LT_PRIMES_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_pred_of_succ_nat' 'h4/thm/ratRing/rat_ring_thms_e17'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pow_1_r' 'h4/thm/real/REAL_SUB_RZERO_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_xO_r' 'h4/thm/real/REAL_NEG_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_le_mono' 'h4/thm/prim_rec/LESS_MONO_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_eq_cases' 'h4/thm/string/string_le_def_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_antisym' 'h4/thm/divides/DIVIDES_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_add_pos_r'#@#variant 'h4/thm/extreal/le_addr_imp_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_le_mono' 'h4/thm/bit/TWOEXP_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_succ_l' 'h4/thm/complex/COMPLEX_NEG_LDIV_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_add_le_sub_r' 'h4/thm/arithmetic/SUB_LEFT_LESS_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_lt_mono' 'h4/thm/integerRing/int_rewrites_tLRRRLRRR'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_involutive' 'h4/thm/real/REAL_INV_INV_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_setbit_spec_prime'#@#variant 'h4/thm/HolSmt/r131_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_min_glb_lt_iff' 'h4/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_divide_iff' 'h4/thm/integral/REAL_LT_MIN_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_le_mono_r' 'h4/thm/integer/INT_LT_RADD_'
0. 'coq/Coq_ZArith_BinInt_Z_divide_factor_l' 'h4/thm/integer/INT_DIVIDES_MUL_0'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_opp' 'h4/thm/toto/num_dt_size_def_e2'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_null'#@#variant 'h4/thm/intExtension/INT_SGN_CLAUSES_e2'#@#variant
0. 'coq/Coq_Lists_List_app_nil_l' 'h4/thm/list/REV_DEF_0'
0. 'coq/Coq_ZArith_BinInt_Z_mul_neg_neg'#@#variant 'h4/thm/extreal/le_mul_neg_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_mul_le_mono_r' 'h4/thm/rat/RAT_LES_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_0_succ' 'h4/thm/prim_rec/LESS_0_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_le_mono' 'h4/thm/integerRing/int_rewrites_tLRRRRLRRR'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_opp_r' 'h4/thm/real/REAL_SUB_RNEG_'
0. 'coq/Coq_Reals_Rsqrt_def_Rsqrt_positivity'#@#variant 'h4/thm/frac/FRAC_DNMPOS_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftr_opp_r' 'h4/thm/complex/complex_div_'#@#variant
0. 'coq/Coq_Reals_Rtrigo_calc_sqrt2_neq_0'#@#variant 'h4/thm/ieee/roundmode_distinct_4'
0. 'coq/Coq_NArith_BinNat_N_mod_0_l' 'h4/thm/integer/INT_DIV_0_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rplus_lt_0_compat' 'h4/thm/integer/INT_LT_MUL_'
0. 'coq/Coq_Reals_RIneq_Rgt_irrefl' 'h4/thm/string/string_lt_nonrefl_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lt_le_pred' 'h4/thm/float/LT_SUC_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_le_mono_r_iff'#@#variant 'h4/thm/integer/INT_LE_MONO_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_divide_mono_r' 'h4/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_1_l' 'h4/thm/HolSmt/r233_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_1_l' 'h4/thm/real/REAL_DIV_LZERO_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_le_mono_r' 'h4/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_sub_le_add_r' 'h4/thm/real/REAL_LT_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_refl' 'h4/thm/integer/TINT_EQ_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_1_r' 'h4/thm/arithmetic/DIV_ONE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div_pos'#@#variant 'h4/thm/arithmetic/ONE_LT_MULT_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_le_trans' 'h4/thm/real/REAL_LTE_TRANS_'
0. 'coq/Coq_ZArith_Znat_Zabs_nat_N' 'h4/thm/rat/rat_nmr_def_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_mod' 'h4/thm/integer/INT_MOD_SUB_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_div_0_l' 'h4/thm/integer/INT_REM0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_eq_0' 'h4/thm/integer/INT_ENTIRE_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_refl' 'h4/thm/integer/TINT_EQ_REFL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lt_irrefl' 'h4/thm/prim_rec/LESS_REFL_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_succ' 'h4/thm/quote/index_size_def_1'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_ldiff_ldiff_l' 'h4/thm/arithmetic/EXP_EXP_MULT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_lub_lt_iff' 'h4/thm/arithmetic/MAX_LE_e1'
0. 'coq/Coq_Reals_Rtrigo1_neg_sin' 'h4/thm/transc/COS_PERIODIC_PI_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_add_cancel_r' 'h4/thm/poly/POLY_DIVIDES_SUB_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_min_le_compat_l' 'h4/thm/extreal/le_ladd_imp_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_incr_twice_plus_one' 'h4/thm/complex/COMPLEX_EXP_NEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_le_mono_l' 'h4/thm/arithmetic/LT_ADD_LCANCEL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_double_inj' 'h4/thm/divides/PRIMES_11_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_double'#@#variant 'h4/thm/util_prob/neg_lg_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_opp' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRL'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_sub' 'h4/thm/arithmetic/ADD_SUB_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_eq_cases' 'h4/thm/extreal/le_lt_'
0. 'coq/Coq_NArith_BinNat_N_mod_1_r'#@#variant 'h4/thm/numeral/numeral_distrib_11'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_mul_r' 'h4/thm/arithmetic/SUB_RIGHT_SUB_'
0. 'coq/Coq_NArith_BinNat_N_succ_0_discr' 'h4/thm/quote/index_distinct_e2'
0. 'coq/Coq_PArith_BinPos_Pos_add_diag' 'h4/thm/real/REAL_DOUBLE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_succ' 'h4/thm/transc/EXP_NEG_'
0. 'coq/Coq_Bool_Bool_diff_true_false' 'h4/thm/integer/INT_10_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sub_succ' 'h4/thm/arithmetic/SUB_MONO_EQ_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_le' 'h4/thm/string/char_gt_def_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_le_succ_r' 'h4/thm/prim_rec/LESS_SUC_'
0. 'coq/Coq_ZArith_BinInt_Z_pow_0_r'#@#variant 'h4/thm/arithmetic/EXP_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_succ_le_mono' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_odd_1' 'h4/thm/float/FLOAT_INFINITIES_SIGNED_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_ngt' 'h4/thm/HolSmt/r096_'
0. 'coq/Coq_QArith_Qminmax_Q_max_le_compat_l' 'h4/thm/integer/INT_LT_LADD_IMP_'
0. 'coq/Coq_ZArith_Zorder_Zmult_lt_compat'#@#variant 'h4/thm/integer/INT_LT_MUL2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_succ_l' 'h4/thm/arithmetic/LESS_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_succ_l' 'h4/thm/arithmetic/MULT_CLAUSES_4'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_pred_succ' 'h4/thm/prim_rec/PRE_e1'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_min_l' 'h4/thm/real/REAL_MIN_LE1_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lor_diag' 'h4/thm/extreal/min_refl_'
0. 'coq/Coq_NArith_BinNat_N_divide_add_r' 'h4/thm/divides/DIVIDES_ADD_1_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_add_r' 'h4/thm/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_refl' 'h4/thm/integer/TINT_EQ_REFL_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_SIN_bound/1' 'h4/thm/transc/ATN_BOUNDS_e1'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_cos_minus' 'h4/thm/transc/COS_ADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lcm_comm' 'h4/thm/hrat/TRAT_MUL_SYM_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_r' 'h4/thm/real/REAL_MAX_ALT_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_factor_r' 'h4/thm/integer/INT_DIVIDES_MUL_e1'
0. 'coq/Coq_ZArith_BinInt_Z_lt_sub_lt_add_l' 'h4/thm/arithmetic/SUB_RIGHT_LESS_EQ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_lt_mono_pos_r'#@#variant 'h4/thm/intExtension/INT_GT_RMUL_EXP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_succ_inj_wd' 'h4/thm/numpair/tri_11_'
0. 'coq/Coq_ZArith_BinInt_Z_succ_inj_wd' 'h4/thm/string/IMPLODE_11_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zmult_le_compat_l'#@#variant 'h4/thm/real/REAL_LT_LMUL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mod_1_r'#@#variant 'h4/thm/arithmetic/EXP_0'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pred_le_mono' 'h4/thm/hrat/TRAT_INV_WELLDEFINED_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_diag' 'h4/thm/gcd/GCD_REF_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_succ_r' 'h4/thm/float/LT_SUC_LE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_reg_l' 'h4/thm/integer/INT_EQ_LMUL_IMP_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_eq_mul_0_r' 'h4/thm/intExtension/INT_NOT0_MUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lnot_lxor_l' 'h4/thm/int_arith/move_sub_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_lt_mono_r' 'h4/thm/rat/RAT_LES_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_diag' 'h4/thm/arithmetic/MIN_IDEM_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_lteq' 'h4/thm/arithmetic/GREATER_OR_EQ_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_1_l' 'h4/thm/extreal/neg_minus1_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_succ_inj_wd' 'h4/thm/prim_rec/INV_SUC_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_negb_odd' 'h4/thm/util_prob/lg_pow_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_le_nlt' 'h4/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_factor_l' 'h4/thm/integer/INT_DIVIDES_MUL_0'
0. 'coq/Coq_ZArith_Zorder_Zplus_lt_compat_r' 'h4/thm/arithmetic/LESS_MONO_MULT_'
0. 'coq/Coq_Sets_Uniset_seq_trans' 'h4/thm/sorting/PERM_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mod_1_l'#@#variant 'h4/thm/transc/ONE_RPOW_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_0_l'#@#variant 'h4/thm/arithmetic/ZERO_LESS_EQ_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_succ_r' 'h4/thm/integer/INT_NEG_RMUL_'
0. 'coq/Coq_Arith_Lt_le_not_lt' 'h4/thm/integer/INT_LTE_ANTSYM_'
0. 'coq/Coq_ZArith_BinInt_Z_le_succ_diag_r' 'h4/thm/bit/BIT_B_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_succ_lt_mono' 'h4/thm/numeral/numeral_lte_e6'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lxor_m1_r'#@#variant 'h4/thm/arithmetic/DIV2_def_'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_minus_one_neq_zero'#@#variant 'h4/thm/binary_ieee/rounding_distinct_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_refl' 'h4/thm/realax/TREAL_EQ_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftr_div_pow2'#@#variant 'h4/thm/complex/complex_sub_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lt_total' 'h4/thm/string/string_lt_cases_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lcm_divide_iff' 'h4/thm/extreal/max_le_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_0_r' 'h4/thm/extreal/le_infty_tRL'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_le_mono_r_iff'#@#variant 'h4/thm/integer/INT_LT_MONO_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_total' 'h4/thm/rat/RAT_LES_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_lt_mono_r' 'h4/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_Reals_RIneq_Ropp_involutive' 'h4/thm/integer/INT_ADD_REDUCE_3'
0. 'coq/Coq_Reals_Raxioms_R1_neq_R0' 'h4/thm/integer/INT_10_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_add' 'h4/thm/real/REAL_ADD_SUB_ALT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_divide_iff' 'h4/thm/integral/REAL_LT_MIN_'
0. 'coq/Coq_QArith_QArith_base_Qmult_le_r'#@#variant 'h4/thm/intExtension/INT_GT_RMUL_EXP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ldiff_diag' 'h4/thm/integer/INT_SUB_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_0_sub'#@#variant 'h4/thm/real/REAL_SUB_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_lt_mono' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_lt_mono' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_1_l' 'h4/thm/integer/INT_ADD_REDUCE_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_lt_iff' 'h4/thm/extreal/le_max_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_gt_cases' 'h4/thm/arithmetic/LESS_CASES_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_add_assoc' 'h4/thm/hrat/TRAT_ADD_ASSOC_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_shuffle3' 'h4/thm/HolSmt/r220_'
0. 'coq/Coq_Reals_RIneq_S_INR' 'h4/thm/integer/INT_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_succ_lt_mono' 'h4/thm/numeral/numeral_lte_3'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_1_r' 'h4/thm/integer/INT_MUL_REDUCE_0'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_succ_l' 'h4/thm/frac/FRAC_AINV_LMUL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_irrefl' 'h4/thm/string/string_lt_nonrefl_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_opp_l' 'h4/thm/HolSmt/r225_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_le_compat_l' 'h4/thm/real/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_clearbit_spec_prime'#@#variant 'h4/thm/rat/RAT_SUB_ADDAINV_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_succ_r' 'h4/thm/arithmetic/ADD_CLAUSES_e3'
0. 'coq/Coq_Reals_RIneq_Rnot_ge_gt' 'h4/thm/real/REAL_LTE_TOTAL_'
0. 'coq/Coq_Init_Peano_le_pred' 'h4/thm/bit/TWOEXP_MONO_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_eq_mul_1'#@#variant 'h4/thm/arithmetic/ADD_EQ_0_'
0. 'coq/Coq_ZArith_BinInt_Z_le_sub_le_add_r' 'h4/thm/integer/INT_LE_SUB_RADD_'
0. 'coq/Coq_NArith_BinNat_N_div_str_pos'#@#variant 'h4/thm/bit/DIV_GT0_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_shuffle3' 'h4/thm/float/REAL_MUL_AC_e2'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_add_cancel_r' 'h4/thm/divides/DIVIDES_ADD_2_'
0. 'coq/Coq_ZArith_BinInt_Z_ldiff_land' 'h4/thm/extreal/sub_rneg_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_inj' 'h4/thm/num/INV_SUC_'
0. 'coq/Coq_PArith_BinPos_Pos_compare_succ_succ' 'h4/thm/quote/index_compare_def_7'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_iff' 'h4/thm/integer/INT_DIV_CALCULATE_2'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_shuffle3' 'h4/thm/float/REAL_MUL_AC_e2'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sub_le_mono_r' 'h4/thm/arithmetic/LESS_MONO_ADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_sub' 'h4/thm/arithmetic/ADD_SUB_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_clearbit_spec_prime'#@#variant 'h4/thm/complex/complex_div_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_div_mul' 'h4/thm/real/REAL_DIV_RMUL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_le_lteq' 'h4/thm/extreal/le_lt_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_succ_diag_r' 'h4/thm/arithmetic/LESS_EQ_SUC_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_succ_l' 'h4/thm/arithmetic/MULT_CLAUSES_4'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_sub_triangle' 'h4/thm/real/REAL_SUB_ABS_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_le_mono' 'h4/thm/numpair/tri_LT_I_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_succ_not_1' 'h4/thm/transc/EXP_NZ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_lt_mono_l' 'h4/thm/real/REAL_LT_LADD_'
0. 'coq/Coq_ZArith_BinInt_Z_succ_pred' 'h4/thm/numeral/numeral_add_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_double_mul' 'h4/thm/complex/COMPLEX_NEG_LDIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_add_lt_sub_r' 'h4/thm/real/REAL_LT_SUB_RADD_'
0. 'coq/Coq_ZArith_BinInt_Z_add_nonneg_pos'#@#variant 'h4/thm/extreal/lte_mul_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_lt_mono_pos_l'#@#variant 'h4/thm/arithmetic/EXP_BASE_LE_MONO_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_le_compat_r' 'h4/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_le_lt_iff' 'h4/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_pred_succ' 'h4/thm/string/IMPLODE_EXPLODE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div2_spec'#@#variant 'h4/thm/arithmetic/ADD1_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_le_succ_l' 'h4/thm/arithmetic/LESS_EQ_'
0. 'coq/Coq_Reals_Rprod_le_n_2n'#@#variant 'h4/thm/bit/BIT_B_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_max_le_compat_r' 'h4/thm/integer/TINT_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mod_1_r'#@#variant 'h4/thm/integer/INT_MOD_1_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_sub' 'h4/thm/integer/INT_SUB_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftl_opp_r' 'h4/thm/complex/complex_sub_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_ldiff_ldiff_l' 'h4/thm/frac/FRAC_SUB_ADD_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_gt' 'h4/thm/int_arith/INT_NUM_DIVIDES_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lnot_ones' 'h4/thm/integer/INT_ADD_LINV_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_neq_0_succ' 'h4/thm/num/NOT_SUC_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_leb' 'h4/thm/toto/qk_numOrd_def_'
0. 'coq/Coq_ZArith_Zpower_two_power_nat_S'#@#variant 'h4/thm/extreal/extreal_inv_def_e2'
0. 'coq/Coq_ZArith_BinInt_Z_le_min_l' 'h4/thm/arithmetic/SUB_LESS_EQ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_opp_r' 'h4/thm/complex/complex_div_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_le_mono_l' 'h4/thm/arithmetic/ADD_MONO_LESS_EQ_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_succ' 'h4/thm/quote/index_size_def_1'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pow_succ_r_prime' 'h4/thm/arithmetic/MULT_CLAUSES_e5'
0. 'coq/Coq_ZArith_BinInt_Z_log2_le_mono' 'h4/thm/hrat/TRAT_INV_WELLDEFINED_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_divide_xO_xO' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_clearbit_spec_prime'#@#variant 'h4/thm/complex/COMPLEX_SUB_RNEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_sub_0' 'h4/thm/rat/RAT_LES_SUB0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftl_opp_r' 'h4/thm/rat/RAT_DIV_MULMINV_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ge_le_iff' 'h4/thm/HolSmt/r103_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_1_r' 'h4/thm/real/REAL_SUB_RZERO_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_le_mono_r_iff'#@#variant 'h4/thm/int_arith/justify_divides_'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_gt' 'h4/thm/float/REAL_OF_NUM_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_0_succ' 'h4/thm/arithmetic/FACT_LESS_'
0. 'coq/Coq_ZArith_Znat_nat_N_Z' 'h4/thm/ieee/Sign_'#@#variant
0. 'coq/Coq_Reals_Ratan_atan_increasing' 'h4/thm/integer/TINT_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_lt' 'h4/thm/real/REAL_LE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_opp_r' 'h4/thm/rat/RAT_DIV_MULMINV_'
0. 'coq/Coq_Arith_Plus_plus_le_compat_l' 'h4/thm/realax/TREAL_LT_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_diag' 'h4/thm/numeral/iSQR_'
0. 'coq/Coq_ZArith_BinInt_Z_succ_le_mono' 'h4/thm/numeral/numeral_lte_3'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_lt_mono_pos_l'#@#variant 'h4/thm/logroot/LE_EXP_ISO_'#@#variant
0. 'coq/Coq_Reals_Rsqrt_def_pow_2_n_neq_R0' 'h4/thm/extreal/extreal_not_infty_e1'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_pos_pos' 'h4/thm/realax/TREAL_LT_MUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_lxor_r' 'h4/thm/complex/COMPLEX_MUL_RNEG_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_1_r'#@#variant 'h4/thm/arithmetic/PRE_SUB1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_le_compat_l' 'h4/thm/integer/INT_LT_LADD_IMP_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_eq_cases' 'h4/thm/arithmetic/GREATER_OR_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_opp' 'h4/thm/integer/INT_ABS_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_1_l'#@#variant 'h4/thm/arithmetic/ONE_MOD_'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_iff' 'h4/thm/binary_ieee/rounding_EQ_rounding_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_stepr' 'h4/thm/rat/RAT_LES_LEQ_TRANS_'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_double'#@#variant 'h4/thm/extreal/extreal_inv_def_e2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_cancel_r' 'h4/thm/rat/RAT_EQ_RADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_pred_succ' 'h4/thm/numRing/num_rewrites_tLLRRRR'#@#variant
0. 'coq/Coq_Arith_Plus_plus_lt_compat_l' 'h4/thm/realax/REAL_LT_IADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ldiff_land' 'h4/thm/rat/RAT_SUB_ADDAINV_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div2_nonneg'#@#variant 'h4/thm/numeral/numeral_distrib_33'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_1_r' 'h4/thm/integer/INT_SUB_REDUCE_0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_asymm' 'h4/thm/integer/INT_LT_GT_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_id' 'h4/thm/string/char_BIJ_0'
0. 'coq/Coq_ZArith_BinInt_Z_min_lt_iff' 'h4/thm/arithmetic/MIN_LE_0'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_succ_diag_r' 'h4/thm/arithmetic/LESS_EQ_SUC_REFL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_lt_mono_neg_r' 'h4/thm/rat/RAT_LES_RMUL_NEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_compare_xI_xI' 'h4/thm/toto/numeralOrd_5'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_sub_le_add_r' 'h4/thm/integer/INT_LT_ADD_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lxor_m1_l'#@#variant 'h4/thm/numeral/texp_help_def_0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_0_l' 'h4/thm/extreal/le_infty_tLL'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_testbit_even_0'#@#variant 'h4/thm/quote/index_compare_def_3'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_eq_mul_0' 'h4/thm/real/REAL_ENTIRE_'#@#variant
0. 'coq/Coq_Bool_Bool_negb_involutive_reverse' 'h4/thm/real/REAL_NEG_NEG_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_neq_succ_0' 'h4/thm/quote/index_distinct_1'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_le_iff' 'h4/thm/arithmetic/MAX_LT_0'
0. 'coq/Coq_Reals_RIneq_Rge_minus' 'h4/thm/extreal/sub_lt_zero_'#@#variant
0. 'coq/Coq_Reals_RIneq_Ropp_mult_distr_r_reverse' 'h4/thm/complex/COMPLEX_NEG_RDIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_succ_l' 'h4/thm/integer/INT_NEG_LMUL_'
0. 'coq/Coq_PArith_BinPos_Pos_le_refl' 'h4/thm/integer/INT_DIVIDES_REFL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lxor_m1_l'#@#variant 'h4/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_of_Qc_bis' 'h4/thm/extreal/le_num_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_le_mono_r_iff'#@#variant 'h4/thm/rat/RAT_LES_LMUL_POS_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rmult_lt_0_compat' 'h4/thm/arithmetic/LESS_MULT2_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_lub_lt_iff' 'h4/thm/extreal/max_le_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_div2_double'#@#variant 'h4/thm/prim_rec/PRE_e1'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_succ'#@#variant 'h4/thm/rat/RAT_OF_NUM_e1'
0. 'coq/Coq_Reals_Rtrigo1_PI_neq0' 'h4/thm/rat/RAT_1_NOT_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pos_pred_succ' 'h4/thm/frac/frac_bij_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_succ_r' 'h4/thm/complex/COMPLEX_MUL_RNEG_'#@#variant
0. 'coq/Coq_Arith_EqNat_eq_eq_nat' 'h4/thm/HolSmt/t007_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_le_iff' 'h4/thm/extreal/min_le_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_neq_succ_0' 'h4/thm/num/NOT_SUC_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_ge' 'h4/thm/int_arith/INT_NUM_DIVIDES_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_opp' 'h4/thm/extreal/extreal_ainv_def_e2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_involutive' 'h4/thm/real/REAL_NEG_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_add_lt_sub_r' 'h4/thm/integer/INT_LE_SUB_RADD_'
0. 'coq/Coq_Reals_Rtrigo_def_cos_sym' 'h4/thm/transc/COS_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_opp_l' 'h4/thm/arithmetic/ADD_e1'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_pos_pos' 'h4/thm/arithmetic/LESS_MULT2_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_setbit_spec_prime'#@#variant 'h4/thm/extreal/extreal_div_def_'
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_1' 'h4/thm/extreal/neg_0_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_inj_wd' 'h4/thm/real/REAL_EQ_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_gt_lt_iff' 'h4/thm/string/string_ge_def_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_cancel_r' 'h4/thm/integer/INT_EQ_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_le_mono_l' 'h4/thm/realax/HREAL_LT_LADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_lt_mono_r' 'h4/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_nonneg' 'h4/thm/arithmetic/FACT_LESS_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_add_lt_sub_r' 'h4/thm/real/REAL_LE_SUB_RADD_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_phi' 'h4/thm/string/CHR_ORD_'
0. 'coq/Coq_ZArith_BinInt_Z_lcm_1_r'#@#variant 'h4/thm/arithmetic/ADD1_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_le_mono_l' 'h4/thm/arithmetic/LE_ADD_LCANCEL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ldiff_m1_l'#@#variant 'h4/thm/extreal/sub_lzero_'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_ge' 'h4/thm/float/REAL_OF_NUM_LT_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_le_mono_r' 'h4/thm/integer/INT_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_asymm' 'h4/thm/string/string_lt_antisym_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_divide_mono_l' 'h4/thm/realax/TREAL_LT_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lxor_nonneg'#@#variant 'h4/thm/arithmetic/EVEN_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_le_mono_l' 'h4/thm/integer/LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_0_l' 'h4/thm/HolSmt/r129_'#@#variant
0. 'coq/Coq_Reals_RIneq_pos_INR'#@#variant 'h4/thm/realax/REAL_POS_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_le' 'h4/thm/real/REAL_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_pos_l'#@#variant 'h4/thm/logroot/LT_EXP_ISO_'#@#variant
0. 'coq/Coq_ZArith_Zlogarithm_ZERO_le_N_digits' 'h4/thm/transc/ATN_BOUNDS_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lcm_1_l' 'h4/thm/rat/RAT_ADD_LID_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_eq_0' 'h4/thm/extreal/entire_'#@#variant
0. 'coq/Coq_fourier_Fourier_util_Rle_zero_pos_plus1'#@#variant 'h4/thm/real/REAL_LE_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lxor_m1_l'#@#variant 'h4/thm/rat/RAT_SUB_LID_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_add_distr' 'h4/thm/arithmetic/SUB_PLUS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_pos_neg'#@#variant 'h4/thm/integer/INT_NEG_GE0_'#@#variant
0. 'coq/Coq_ZArith_Zpower_two_p_is_exp'#@#variant 'h4/thm/transc/LN_MUL_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_square_spec' 'h4/thm/numeral/iSQR_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_irrefl' 'h4/thm/rat/RAT_LES_REF_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_even_sub' 'h4/thm/float/REAL_OF_NUM_SUB_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_eqb_eq' 'h4/thm/quote/index_lt_def_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_lt_mono_neg_l' 'h4/thm/rat/RAT_LES_LMUL_NEG_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_nonneg_nonneg' 'h4/thm/realax/REAL_LT_MUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_mul_r' 'h4/thm/arithmetic/SUB_PLUS_'
0. 'coq/Coq_ZArith_Znat_Z2N_inj_pred' 'h4/thm/quote/index_size_def_1'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_succ_inj_wd' 'h4/thm/complex/CONJ_EQ2_'#@#variant
0. 'coq/Coq_ZArith_Znat_Z2Nat_inj_pos' 'h4/thm/complex/MODU_NUM_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_abs_0_iff' 'h4/thm/integer/INT_NEG_EQ0_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_succ_not_1' 'h4/thm/transc/EXP_NZ_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_le_mono' 'h4/thm/real/REAL_LE_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_Zpos' 'h4/thm/real/REAL_LT_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mod_1_r'#@#variant 'h4/thm/numeral/numeral_exp_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_opp_r' 'h4/thm/frac/frac_div_def_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_lt_iff' 'h4/thm/util_prob/X_LE_MAX_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ldiff_ldiff_l' 'h4/thm/arithmetic/SUB_RIGHT_SUB_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_div2' 'h4/thm/complex/COMPLEX_OF_REAL_INV_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_le_mono' 'h4/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_land' 'h4/thm/transc/EXP_SUB_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_neq' 'h4/thm/real/REAL_LT_IMP_NE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lnot_ones' 'h4/thm/bit/SUC_SUB_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_nonneg' 'h4/thm/transc/ATN_0'#@#variant
0. 'coq/Coq_NArith_BinNat_N_setbit_spec_prime'#@#variant 'h4/thm/HolSmt/r131_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_double_mul' 'h4/thm/complex/COMPLEX_MUL_LNEG_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_l' 'h4/thm/extreal/le_ladd_imp_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_0_mul_prime'#@#variant 'h4/thm/arithmetic/ODD_MULT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftl_1_l'#@#variant 'h4/thm/integer/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_pos_l'#@#variant 'h4/thm/transc/RPOW_LT_'#@#variant
0. 'coq/Coq_Arith_Plus_plus_le_compat_r' 'h4/thm/arithmetic/LESS_MONO_MULT_'
0. 'coq/Coq_Bool_Bool_negb_involutive_reverse' 'h4/thm/complex/CONJ_CONJ_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_ge_le_iff' 'h4/thm/arithmetic/GREATER_DEF_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_le_mono' 'h4/thm/transc/EXP_MONO_IMP_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_w4_spec' 'h4/thm/numRing/num_semi_ring_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_gcd_divide_l' 'h4/thm/extreal/min_le1_'
0. 'coq/Coq_Reals_RIneq_Rle_refl' 'h4/thm/integer/INT_LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_nle_gt' 'h4/thm/HolSmt/r096_'
0. 'coq/Coq_ZArith_Znumtheory_not_prime_1'#@#variant 'h4/thm/numeral/numeral_evenodd_3'
0. 'coq/Coq_PArith_BinPos_Pos_gt_lt_iff' 'h4/thm/rat/rat_gre_def_'
0. 'coq/Coq_NArith_BinNat_N_mul_mod' 'h4/thm/integer/INT_MOD_PLUS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_neq_0_succ' 'h4/thm/intto/BIT1_nz_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_abs' 'h4/thm/toto/num_dt_size_def_e2'#@#variant
0. 'coq/Coq_ZArith_BinInt_Zopp_mult_distr_r' 'h4/thm/arithmetic/ADD_SUC_'
0. 'coq/Coq_ZArith_Znat_Z2N_inj_pred' 'h4/thm/extreal/extreal_sqrt_def_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_factor_r' 'h4/thm/extreal/le_max2_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div_lt'#@#variant 'h4/thm/arithmetic/DIV_LESS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lnot_0_l' 'h4/thm/util_prob/lg_def_'#@#variant
0. 'coq/Coq_Reals_Rtrigo_calc_sqrt2_neq_0'#@#variant 'h4/thm/toto/all_cpn_distinct_e3'
0. 'coq/Coq_ZArith_Zlogarithm_ZERO_le_N_digits' 'h4/thm/integral/LT_0_'
0. 'coq/Coq_NArith_BinNat_N_lcm_1_r' 'h4/thm/integer/INT_ADD_CALCULATE_1'
0. 'coq/Coq_QArith_Qabs_Qabs_wd' 'h4/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_is_nonneg' 'h4/thm/realax/REAL_POS_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_2' 'h4/thm/real/REAL_THIRDS_BETWEEN_2'#@#variant
0. 'coq/Coq_QArith_QOrderedType_QOrder_eq_refl' 'h4/thm/extreal/le_refl_'
0. 'coq/Coq_Arith_PeanoNat_Nat_setbit_spec_prime'#@#variant 'h4/thm/HolSmt/r224_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_0_r'#@#variant 'h4/thm/numeral/numeral_distrib_11'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_irrefl' 'h4/thm/real/REAL_LT_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_opp_involutive' 'h4/thm/integer/INT_MUL_CALCULATE_e3'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_1' 'h4/thm/real/REAL_THIRDS_BETWEEN_2'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_max_lub_lt_iff' 'h4/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_lt_mono_l' 'h4/thm/rat/RAT_LES_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_involutive' 'h4/thm/int_bitwise/int_not_not_'
0. 'coq/Coq_QArith_Qround_Qfloor_Z' 'h4/thm/real/NUM_FLOOR_EQNS_0'
0. 'coq/Coq_NArith_BinNat_N_add_succ_r' 'h4/thm/complex/COMPLEX_MUL_RNEG_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rlt_not_eq' 'h4/thm/real/REAL_LT_IMP_NE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_le_mono' 'h4/thm/real/REAL_POS_MONO_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_1_r' 'h4/thm/rat/RAT_ADD_RID_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_succ_inj_wd' 'h4/thm/numeral/numeral_eq_e7'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div2_div'#@#variant 'h4/thm/arithmetic/DIV2_def_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_id' 'h4/thm/ieee/num2roundmode_roundmode2num_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_succ' 'h4/thm/numpair/invtri_linverse_'
0. 'coq/Coq_ZArith_BinInt_Z_le_lt_trans' 'h4/thm/integer/INT_LET_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_nonneg_l'#@#variant 'h4/thm/real/REAL_LE_LMUL_IMP_'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_id' 'h4/thm/frac/frac_bij_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_gt_cases' 'h4/thm/arithmetic/LESS_CASES_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_le_mono' 'h4/thm/hrat/TRAT_INV_WELLDEFINED_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gt_lt_iff' 'h4/thm/rat/rat_gre_def_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_pred_l' 'h4/thm/arithmetic/ADD_e1'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_ge_le_iff' 'h4/thm/HolSmt/r103_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_le_mono' 'h4/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qcopp_involutive' 'h4/thm/integer/INT_ADD_REDUCE_3'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_mul_l' 'h4/thm/divides/DIVIDES_MULT_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_succ_l' 'h4/thm/real/REAL_MUL_LNEG_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_succ_m1'#@#variant 'h4/thm/extreal/half_between_tRL'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_RRle_abs' 'h4/thm/bit/BIT_B_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_r' 'h4/thm/arithmetic/LESS_MONO_MULT_'
0. 'coq/Coq_ZArith_BinInt_Z_shiftl_opp_r' 'h4/thm/integer/INT_SUB_CALCULATE_'
0. 'coq/Coq_ZArith_Zlogarithm_log_sup_correct1'#@#variant 'h4/thm/binary_ieee/zero_lt_twopow_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_succ_lt_mono' 'h4/thm/integerRing/int_rewrites_tLRRRRLRRR'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_eq_mul_0' 'h4/thm/arithmetic/MULT_EQ_0_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_divide_mono_r' 'h4/thm/arithmetic/LESS_MONO_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_div2_double'#@#variant 'h4/thm/numRing/num_rewrites_tLLRRRR'#@#variant
0. 'coq/Coq_Reals_Rtrigo_calc_sqrt2_neq_0'#@#variant 'h4/thm/toto/cpn_distinct_0'
0. 'coq/Coq_Init_Peano_plus_Sn_m' 'h4/thm/complex/COMPLEX_NEG_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_testbit_even_0'#@#variant 'h4/thm/toto/qk_numeralOrd_3'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_quot_pos'#@#variant 'h4/thm/extreal/lte_add_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_quot_str_pos' 'h4/thm/bit/DIV_GT0_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_asymm' 'h4/thm/arithmetic/LESS_ANTISYM_'
0. 'coq/Coq_Reals_RIneq_Rsqr_0_uniq' 'h4/thm/intExtension/INT_NOT0_SGNNOT0_'#@#variant
0. 'coq/Coq_QArith_Qround_Qfloor_Z' 'h4/thm/ieee/ccode_BIJ_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_ngt' 'h4/thm/extreal/extreal_lt_def_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_succ_r' 'h4/thm/integer/INT_NEG_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_lor'#@#variant 'h4/thm/util_prob/lg_mul_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_1_l'#@#variant 'h4/thm/numeral/texp_help_def_0'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_succ' 'h4/thm/DeepSyntax/deep_form_size_def_2'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_nle_gt' 'h4/thm/arithmetic/NOT_LESS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftl_1_l'#@#variant 'h4/thm/util_prob/lg_def_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_1' 'h4/thm/rat/RAT_AINV_0_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_mul_r' 'h4/thm/arithmetic/EXP_EXP_MULT_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_pred_succ' 'h4/thm/transc/LN_EXP_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_lt_trans' 'h4/thm/arithmetic/LESS_EQ_LESS_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_add_lt_sub_r' 'h4/thm/integer/INT_LE_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lcm_divide_iff' 'h4/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_Reals_Rminmax_R_le_max_l' 'h4/thm/extreal/le_max1_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_glb_iff' 'h4/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_Reals_Rpower_arcsinh_lt' 'h4/thm/real/REAL_POS_MONO_'
0. 'coq/Coq_MMaps_MMapPositive_PositiveMap_E_bits_lt_antirefl' 'h4/thm/realax/TREAL_LT_REFL_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_pos_nonneg'#@#variant 'h4/thm/real/REAL_LTE_ADD_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_nle_gt' 'h4/thm/HolSmt/r096_'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_succ' 'h4/thm/complex/COMPLEX_OF_REAL_INV_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rplus_le_compat_l' 'h4/thm/realax/REAL_LT_IADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_nle_gt' 'h4/thm/integer/int_le_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_lt_mono' 'h4/thm/transc/EXP_MONO_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_clearbit_spec_prime'#@#variant 'h4/thm/HolSmt/r224_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_le_mono' 'h4/thm/numeral/numeral_distrib_28'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_neg_iff' 'h4/thm/toto/cpn2num_11_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_lt_mono_pos_l'#@#variant 'h4/thm/integer/INT_LT_MONO_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_succ_r' 'h4/thm/complex/COMPLEX_NEG_RDIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_add_r' 'h4/thm/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_lt_mono_r' 'h4/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_ge_cases' 'h4/thm/real/REAL_LE_TOTAL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_pred_succ' 'h4/thm/numeral_bit/NUMERAL_iDIV2_2'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_iff' 'h4/thm/integer/INT_INJ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_lxor_r' 'h4/thm/extreal/mul_rneg_'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_lt_le' 'h4/thm/real/REAL_LT_GT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_succ_inj_wd' 'h4/thm/quote/index_11_e1'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_succ_diag_r' 'h4/thm/divides/INDEX_LESS_PRIMES_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_succ_diag_r' 'h4/thm/prim_rec/LESS_SUC_SUC_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lcm_least' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_e2'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_lt_mono_l' 'h4/thm/real/REAL_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_max_r' 'h4/thm/integer/INT_DIVIDES_MUL_e1'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_clearbit_spec_prime'#@#variant 'h4/thm/integer/INT_SUB_RNEG_'
0. 'coq/Coq_ZArith_BinInt_Z_ldiff_land' 'h4/thm/extreal/extreal_sub_add_'
0. 'coq/Coq_ZArith_BinInt_Z_add_pred_r' 'h4/thm/integer/INT_NEG_RMUL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_pos_le' 'h4/thm/divides/DIVIDES_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_le_lt_mono' 'h4/thm/integer/INT_LET_ADD2_'
0. 'coq/Coq_NArith_BinNat_N_lt_asymm' 'h4/thm/extreal/lt_antisym_'
0. 'coq/Coq_Reals_Rtrigo1_SIN_bound/1' 'h4/thm/transc/ATN_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_irrefl' 'h4/thm/realax/HREAL_LT_REFL_'
0. 'coq/Coq_Arith_Compare_dec_not_eq' 'h4/thm/arithmetic/LESS_CASES_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lnot_lxor_l' 'h4/thm/int_arith/move_sub_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_refl' 'h4/thm/extreal/le_refl_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_pos_nonneg'#@#variant 'h4/thm/real/REAL_LTE_ADD_'#@#variant
0. 'coq/Coq_Init_Peano_min_r' 'h4/thm/real/REAL_MIN_ALT_e1'
0. 'coq/Coq_ZArith_BinInt_Z_lor_lnot_diag'#@#variant 'h4/thm/integer/INT_ADD_RINV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pos_pred_succ' 'h4/thm/complex/RE_COMPLEX_OF_REAL_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_eq_1'#@#variant 'h4/thm/gcd/GCD_EQ_0_'
0. 'coq/Coq_ZArith_BinInt_Z_add_1_l' 'h4/thm/extreal/sub_lzero_'
0. 'coq/Coq_QArith_Qminmax_Q_min_glb_iff' 'h4/thm/arithmetic/MIN_LE_e1'
0. 'coq/Coq_ZArith_BinInt_Z_sgn_opp' 'h4/thm/transc/TAN_NEG_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_le_compat_r' 'h4/thm/arithmetic/LESS_MONO_MULT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_diag' 'h4/thm/real/REAL_DOUBLE_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_le_ge_cases' 'h4/thm/extreal/le_total_'
0. 'coq/Coq_Reals_Rtrigo1_sin2'#@#variant 'h4/thm/numeral/numeral_div2_e2'
0. 'coq/Coq_ZArith_BinInt_Z_shiftl_1_l'#@#variant 'h4/thm/rat/RAT_SUB_LID_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_neq_succ_0' 'h4/thm/toto/num_dt_distinct_1'
0. 'coq/Coq_ZArith_BinInt_Z_land_lnot_diag' 'h4/thm/integer/INT_ADD_RINV_'#@#variant
0. 'coq/Coq_ZArith_Znat_Zabs2Nat_inj_neg' 'h4/thm/rat/rat_dnm_def_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_lt_mono_pos_l'#@#variant 'h4/thm/real/REAL_LE_LMUL_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_of_N' 'h4/thm/realax/real_of_hreal_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_clearbit_spec_prime'#@#variant 'h4/thm/rat/RAT_SUB_ADDAINV_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_succ_r' 'h4/thm/float/LT_SUC_LE_'
0. 'coq/Coq_Reals_Ratan_ps_atan_opp' 'h4/thm/DeepSyntax/neginf_def_2'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_setbit_spec_prime'#@#variant 'h4/thm/complex/complex_div_'#@#variant
0. 'coq/Coq_Reals_Rpower_exp_increasing' 'h4/thm/real/REAL_POS_MONO_'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_one_neq_zero' 'h4/thm/binary_ieee/float_compare_distinct_1'
0. 'coq/Coq_PArith_BinPos_Pos_nlt_1_r' 'h4/thm/extreal/lt_infty_3'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_lt_add_r' 'h4/thm/divides/DIVIDES_MULT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_0_l' 'h4/thm/integer/INT_QUOT_0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_trichotomy' 'h4/thm/arithmetic/LESS_CASES_IMP_'
0. 'coq/Coq_PArith_BinPos_Ppred_minus' 'h4/thm/arithmetic/PRE_SUB1_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_refl' 'h4/thm/integer/INT_LE_REFL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_succ_lt_mono' 'h4/thm/numeral/numeral_distrib_22'
0. 'coq/Coq_Strings_Ascii_ascii_N_embedding' 'h4/thm/binary_ieee/num2rounding_rounding2num_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_pos'#@#variant 'h4/thm/real/REAL_LT_INV_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_cancel_r' 'h4/thm/rat/RAT_EQ_RADD_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_sqrt_2' 'h4/thm/util_prob/HALF_LT_1_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lcm_1_l' 'h4/thm/HolSmt/r079_'
0. 'coq/Coq_Arith_Max_max_idempotent' 'h4/thm/arithmetic/MAX_IDEM_'
0. 'coq/Coq_Reals_Rtrigo1__PI2_RLT_0'#@#variant 'h4/thm/util_prob/HALF_LT_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_lt_mono_nonneg'#@#variant 'h4/thm/real/REAL_LT_MUL2_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_succ_not_1' 'h4/thm/toto/num_dt_distinct_1'
0. 'coq/Coq_ZArith_Znat_Zabs2N_id' 'h4/thm/ieee/ccode_BIJ_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_nonneg'#@#variant 'h4/thm/numeral/numeral_distrib_33'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_divide' 'h4/thm/integer/INT_LE_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_lt' 'h4/thm/extreal/extreal_le_def_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_pos_cancel_r'#@#variant 'h4/thm/real/REAL_LT_RMUL_0_'#@#variant
0. 'coq/Coq_Reals_Rpower_arcsinh_le' 'h4/thm/real/REAL_POS_MONO_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ldiff_land' 'h4/thm/rat/RAT_DIV_MULMINV_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_divide_l' 'h4/thm/arithmetic/SUB_LESS_EQ_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sub_add' 'h4/thm/hreal/HREAL_SUB_ADD_'
0. 'coq/Coq_Lists_SetoidList_NoDupA_singleton' 'h4/thm/sorting/SORTED_SING_'
0. 'coq/Coq_ZArith_Zpower_two_p_S'#@#variant 'h4/thm/util_prob/lg_inv_'#@#variant
0. 'coq/Coq_QArith_Qcanon_Q_apart_0_1'#@#variant 'h4/thm/extreal/ne_01_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_double_spec'#@#variant 'h4/thm/real/REAL_INV_1OVER_'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qclt_not_le' 'h4/thm/real/REAL_LTE_ANTSYM_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_lt_lin'#@#variant 'h4/thm/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_even_1' 'h4/thm/float/FLOAT_INFINITIES_SIGNED_e1'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_div2' 'h4/thm/complex/COMPLEX_OF_REAL_INV_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_1_l' 'h4/thm/extreal/mul_lzero_'
0. 'coq/Coq_Reals_R_sqrt_sqrt_lt_R0'#@#variant 'h4/thm/extreal/le_inv_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_pred_le' 'h4/thm/arithmetic/OR_LESS_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_1_r' 'h4/thm/arithmetic/PRE_SUB1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_id' 'h4/thm/arithmetic/MIN_IDEM_'
0. 'coq/Coq_ZArith_BinInt_Z_shiftl_opp_r' 'h4/thm/extreal/extreal_sub_add_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_asymm' 'h4/thm/hreal/HRAT_LT_ANTISYM_'
0. 'coq/Coq_ZArith_Znat_Z_N_nat' 'h4/thm/realax/real_of_hreal_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_double_mul' 'h4/thm/extreal/mul_lneg_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_le_mono' 'h4/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_le_mono' 'h4/thm/numeral/numeral_lte_3'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_le_compat_r' 'h4/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_of_Qc' 'h4/thm/rat/rat_nmr_def_'
0. 'coq/Coq_Structures_OrderedTypeEx_N_as_OT_lt_not_eq' 'h4/thm/extreal/lt_imp_ne_'
0. 'coq/Coq_Lists_Streams_sym_EqSt' 'h4/thm/Encode/biprefix_sym_'
0. 'coq/Coq_NArith_BinNat_N_clearbit_spec_prime'#@#variant 'h4/thm/integer/INT_SUB_CALCULATE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_divide_l' 'h4/thm/extreal/min_le1_'
0. 'coq/Coq_QArith_QArith_base_Qmult_le_l'#@#variant 'h4/thm/integer/INT_LT_MONO_'#@#variant
0. 'coq/Coq_Reals_ROrderedType_ROrder_TO_lt_total' 'h4/thm/arithmetic/LESS_CASES_IMP_'
0. 'coq/Coq_Reals_R_sqrt_sqrt_pos' 'h4/thm/divides/ZERO_LT_PRIMES_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_clearbit_spec_prime'#@#variant 'h4/thm/HolSmt/r224_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_neq_mul_0' 'h4/thm/rat/RAT_NO_ZERODIV_NEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_setbit_spec_prime'#@#variant 'h4/thm/rat/RAT_SUB_ADDAINV_'
0. 'coq/Coq_Reals_ROrderedType_R_as_OT_le_lteq' 'h4/thm/integral/LE_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_cancel_r' 'h4/thm/real/REAL_EQ_RADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_sub_assoc' 'h4/thm/numpair/napp_thm_e1'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_1_l' 'h4/thm/numeral/texp_help_def_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftl_opp_r' 'h4/thm/rat/RAT_SUB_ADDAINV_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lcm_diag' 'h4/thm/HolSmt/r216_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_nonneg_l'#@#variant 'h4/thm/real/REAL_LT_LMUL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_eq_mul_m1'#@#variant 'h4/thm/arithmetic/ADD1_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_leb_le' 'h4/thm/quote/index_lt_def_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_pow' 'h4/thm/rat/RAT_AINV_LMUL_'
0. 'coq/Coq_QArith_Qcanon_Q_apart_0_1'#@#variant 'h4/thm/binary_ieee/rounding_distinct_0'
0. 'coq/Coq_Arith_Div2_odd_div2' 'h4/thm/transc/SQRT_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_le_compat_r' 'h4/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lxor_lnot_lnot' 'h4/thm/integer/INT_NEG_MUL2_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_succ_l' 'h4/thm/complex/COMPLEX_MUL_LNEG_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_glb_iff' 'h4/thm/arithmetic/MIN_LE_e1'
0. 'coq/Coq_Reals_Rtrigo_calc_sqrt2_neq_0'#@#variant 'h4/thm/prelim/ordering_distinct_0'
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_pos_l'#@#variant 'h4/thm/arithmetic/EXP_BASE_LE_MONO_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_lt_mono_r' 'h4/thm/arithmetic/LT_ADD_RCANCEL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_lt_mono_pos_r' 'h4/thm/logroot/EXP_LT_ISO_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pred_succ' 'h4/thm/numpair/invtri_linverse_'
0. 'coq/Coq_Reals_Rtrigo_calc_deg_rad' 'h4/thm/numeral_bit/NUMERAL_iDIV2_2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_lnot_diag'#@#variant 'h4/thm/integer/INT_ADD_RINV_'#@#variant
0. 'coq/Coq_FSets_FSetPositive_PositiveSet_E_bits_lt_antirefl' 'h4/thm/integer/INT_LT_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lcm_1_r' 'h4/thm/arithmetic/DIV_ONE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_0_succ' 'h4/thm/transc/ATN_BOUNDS_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_mul_l' 'h4/thm/arithmetic/LESS_IMP_LESS_ADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_2' 'h4/thm/extreal/half_between_tRL'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_lt_mono' 'h4/thm/arithmetic/LESS_MONO_EQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_ge_le_iff' 'h4/thm/string/string_ge_def_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lcm_1_l' 'h4/thm/rat/RAT_SUB_LID_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_irrefl' 'h4/thm/rat/RAT_LES_REF_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_eq_sym_iff' 'h4/thm/realax/TREAL_EQ_SYM_'#@#variant
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_double'#@#variant 'h4/thm/extreal/extreal_exp_def_0'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_gt' 'h4/thm/string/char_gt_def_'
0. 'coq/Coq_ZArith_BinInt_Z_div2_spec'#@#variant 'h4/thm/arithmetic/ADD1_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_1' 'h4/thm/extreal/half_between_tRL'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lcm_1_r' 'h4/thm/real/REAL_ADD_RID_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_total' 'h4/thm/string/string_lt_cases_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_cancel_r' 'h4/thm/rat/RAT_EQ_RADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_le_mono' 'h4/thm/prim_rec/LESS_MONO_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_rem_1_l'#@#variant 'h4/thm/arithmetic/ZERO_DIV_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_le_min_r' 'h4/thm/extreal/min_le2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_cancel_l' 'h4/thm/integer/INT_EQ_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_lxor_r' 'h4/thm/complex/COMPLEX_MUL_RNEG_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_inj_wd' 'h4/thm/complex/COMPLEX_INV_INJ_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div_1_r' 'h4/thm/rat/RAT_ADD_RID_'
0. 'coq/Coq_NArith_BinNat_N_add_succ_r' 'h4/thm/rat/RAT_AINV_RMUL_'
0. 'coq/Coq_NArith_BinNat_N_max_le_compat_l' 'h4/thm/integer/INT_LT_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_double'#@#variant 'h4/thm/util_prob/lg_inv_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_mul_xO_r' 'h4/thm/rat/RAT_AINV_RMUL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_le_mono_l' 'h4/thm/rat/RAT_LES_LADD_'
0. 'coq/Coq_ZArith_Zorder_Zle_0_nat'#@#variant 'h4/thm/real/REAL_POS_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_add_lt_mono_l' 'h4/thm/rat/RAT_LES_LADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_div2_double'#@#variant 'h4/thm/numeral_bit/NUMERAL_iDIV2_2'
0. 'coq/Coq_Reals_Rtrigo1_tan_neg' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRL'
0. 'coq/Coq_PArith_Pnat_Pos2SuccNat_id_succ' 'h4/thm/complex/MODU_REAL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_gt_lt_iff' 'h4/thm/string/string_ge_def_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_0_sub'#@#variant 'h4/thm/integer/INT_SUB_LE_'#@#variant
0. 'coq/Coq_ZArith_Zpow_facts_Zpower_mod' 'h4/thm/bit/MOD_PLUS_LEFT_'
0. 'coq/Coq_NArith_BinNat_N_lt_nge' 'h4/thm/arithmetic/NOT_LESS_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_lt_mono_pos_r'#@#variant 'h4/thm/logroot/EXP_LT_ISO_'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_le_lt_iff' 'h4/thm/arithmetic/NOT_LESS_'
0. 'coq/Coq_ZArith_BinInt_Z_divide_factor_l' 'h4/thm/realax/HREAL_LT_ADDL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_1_l'#@#variant 'h4/thm/HolSmt/r221_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_iff' 'h4/thm/integer/INT_DIV_CALCULATE_2'
0. 'coq/Coq_ZArith_BinInt_Z_divide_Zpos' 'h4/thm/real/lt_int_0'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_l2i_i2l'#@#variant 'h4/thm/ieee/float_tybij_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lor_eq_0_iff' 'h4/thm/arithmetic/ADD_EQ_0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_shuffle3' 'h4/thm/HolSmt/r220_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_neg'#@#variant 'h4/thm/integer/INT_NEG_LE0_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rle_refl' 'h4/thm/integer/TINT_EQ_REFL_'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_le' 'h4/thm/extreal/extreal_le_def_0'
0. 'coq/Coq_PArith_BinPos_Pos_succ_le_mono' 'h4/thm/transc/EXP_MONO_LT_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_opp_r' 'h4/thm/rat/RAT_SUB_ADDAINV_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_lxor_l' 'h4/thm/complex/COMPLEX_NEG_LMUL_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_abs' 'h4/thm/extreal/extreal_ainv_def_e2'
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_lcm_l' 'h4/thm/arithmetic/LESS_EQ_ADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_glb_lt' 'h4/thm/divides/DIVIDES_SUB_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_odd' 'h4/thm/ieee/Fraction_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_nonneg_nonneg' 'h4/thm/realax/REAL_LT_MUL_'
0. 'coq/Coq_NArith_BinNat_N_add_cancel_r' 'h4/thm/complex/COMPLEX_EQ_RADD_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_lt_mono' 'h4/thm/transc/EXP_MONO_LE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ge_le_iff' 'h4/thm/real/real_ge_'
0. 'coq/Coq_Reals_RIneq_Rnot_ge_gt' 'h4/thm/integer/INT_LET_TOTAL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_reg_r' 'h4/thm/integer/INT_EQ_RMUL_IMP_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_add_lt_sub_r' 'h4/thm/integer/INT_LT_ADD_SUB_'
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_antisym' 'h4/thm/rat/RAT_LEQ_ANTISYM_'
0. 'coq/Coq_Lists_List_app_assoc_reverse' 'h4/thm/sptree/union_assoc_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_odd_1' 'h4/thm/rat/rat_of_num_def_1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_setbit_spec_prime'#@#variant 'h4/thm/complex/complex_div_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_cancel_l' 'h4/thm/rat/RAT_EQ_LADD_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_id' 'h4/thm/string_num/s2n_n2s_'#@#variant
0. 'coq/Coq_ZArith_Znat_Zabs2Nat_id' 'h4/thm/real/NUM_FLOOR_EQNS_0'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_pos'#@#variant 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_opp' 'h4/thm/extreal/extreal_sqrt_def_0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_0_l'#@#variant 'h4/thm/integral/LE_0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_cancel_r' 'h4/thm/rat/RAT_EQ_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lor_diag' 'h4/thm/arithmetic/MAX_IDEM_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_1' 'h4/thm/transc/SQRT_0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_0_discr' 'h4/thm/transc/EXP_NZ_'#@#variant
0. 'coq/Coq_ZArith_Znat_Zabs_N_nat' 'h4/thm/rat/rat_dnm_def_'
0. 'coq/Coq_Reals_RIneq_Rlt_0_1' 'h4/thm/transc/PI2_BOUNDS_e1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftl_1_l'#@#variant 'h4/thm/HolSmt/r128_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_le_compat_r' 'h4/thm/integer/TINT_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rle_abs' 'h4/thm/arithmetic/LESS_EQ_SUC_REFL_'
0. 'coq/Coq_NArith_Ndist_ni_min_O_l' 'h4/thm/integer/INT_MUL_REDUCE_1'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_lcm_l' 'h4/thm/realax/HREAL_LT_ADDL_'
0. 'coq/Coq_Reals_Raxioms_Rplus_opp_r' 'h4/thm/hreal/HRAT_MUL_RINV_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sub_1_r'#@#variant 'h4/thm/arithmetic/PRE_SUB1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_glb' 'h4/thm/divides/DIVIDES_SUB_'
0. 'coq/Coq_Reals_R_sqr_Rsqr_neg' 'h4/thm/numeral/numeral_add_12'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_antisymm' 'h4/thm/rat/RAT_LEQ_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_le_compat_r' 'h4/thm/hrat/TRAT_ADD_WELLDEFINED_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_divide_l' 'h4/thm/real/REAL_MIN_LE1_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_le_trans' 'h4/thm/arithmetic/LESS_LESS_EQ_TRANS_'
0. 'coq/Coq_NArith_BinNat_N_eq_mul_0_r' 'h4/thm/extreal/add_not_infty_e1'
0. 'coq/Coq_Arith_Minus_minus_diag_reverse' 'h4/thm/arithmetic/ABS_DIFF_EQS_'
0. 'coq/Coq_PArith_BinPos_Pos_add_succ_r' 'h4/thm/real/REAL_NEG_RMUL_'
0. 'coq/Coq_Init_Peano_O_S' 'h4/thm/transc/EXP_NZ_'#@#variant
0. 'coq/Coq_NArith_Nnat_Nat2N_id' 'h4/thm/string_num/s2n_n2s_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_max_le_compat_l' 'h4/thm/extreal/le_ladd_imp_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_nlt_ge' 'h4/thm/real/real_lte_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_lt_mono_r_iff'#@#variant 'h4/thm/int_arith/lt_justify_multiplication_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_pred_succ' 'h4/thm/bit/LOG2_TWOEXP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_lt_iff' 'h4/thm/arithmetic/MIN_LE_0'
0. 'coq/Coq_Structures_DecidableTypeEx_Z_as_DT_lt_not_eq' 'h4/thm/realax/HREAL_LT_NE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_le_compat_r' 'h4/thm/arithmetic/LESS_MONO_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_le_mono_nonneg_l'#@#variant 'h4/thm/real/REAL_LE_LMUL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_Odd_succ' 'h4/thm/binary_ieee/exp_gt2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_cancel_r' 'h4/thm/rat/RAT_EQ_RADD_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_ge' 'h4/thm/string/char_gt_def_'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_lt_total' 'h4/thm/arithmetic/LESS_LESS_CASES_'
0. 'coq/Coq_Reals_Rpower_exp_increasing' 'h4/thm/bit/TWOEXP_MONO2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_succ_diag_r' 'h4/thm/numpair/tri_le_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_lt_mono_pos_l'#@#variant 'h4/thm/logroot/LE_EXP_ISO_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_succ_le_mono' 'h4/thm/integerRing/int_rewrites_tLRRRRLRRR'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_eq_le_incl' 'h4/thm/real/REAL_EQ_IMP_LE_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_le_compat_l' 'h4/thm/real/REAL_LT_IADD_'
0. 'coq/Coq_NArith_BinNat_N_add_nonneg_pos'#@#variant 'h4/thm/extreal/let_add_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_pos_eq'#@#variant 'h4/thm/real/REAL_POS_ID_'#@#variant
0. 'coq/Coq_Reals_Rtrigo_calc_sin3PI4'#@#variant 'h4/thm/numeral/numeral_fact_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_l' 'h4/thm/real/REAL_MAX_ALT_e1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_add_r' 'h4/thm/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_opp_inj_wd' 'h4/thm/numRing/num_rewrites_tLRRRRRRLR'
0. 'coq/Coq_ZArith_Zdiv_Zmod_1_l'#@#variant 'h4/thm/arithmetic/ZERO_DIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_Zpos' 'h4/thm/real/REAL_LT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_inj_wd' 'h4/thm/rat/RAT_EQ_AINV_'
0. 'coq/Coq_QArith_Qcanon_Qcmult_integral_l'#@#variant 'h4/thm/extreal/add_not_infty_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_nonneg_nonneg' 'h4/thm/realax/REAL_LT_MUL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_nle_gt' 'h4/thm/integer/INT_NOT_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_le_mono_l' 'h4/thm/integer/LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_le_compat_l' 'h4/thm/integer/TINT_LT_ADD_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_le_iff' 'h4/thm/real/REAL_LE_MAX_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_neq' 'h4/thm/real/REAL_LT_IMP_NE_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_le_mono' 'h4/thm/real/REAL_POS_MONO_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_0_r' 'h4/thm/divides/ALL_DIVIDES_0_'
0. 'coq/Coq_NArith_BinNat_N_neq_succ_0' 'h4/thm/num/NOT_SUC_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_pred_double_spec' 'h4/thm/numeral/numeral_pre_e4'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_Even_or_Odd' 'h4/thm/arithmetic/EVEN_OR_ODD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_opp_diag_l' 'h4/thm/hrat/HRAT_MUL_LINV_'
0. 'coq/Coq_Reals_RIneq_double'#@#variant 'h4/thm/numeral/iDUB_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_1_r' 'h4/thm/arithmetic/DIV2_def_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_negb_even' 'h4/thm/integerRing/int_ring_thms_e17'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sub_le_mono_r' 'h4/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_min_le_compat_l' 'h4/thm/integer/TINT_LT_ADD_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_div_same'#@#variant 'h4/thm/real/REAL_DIV_REFL_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_mul_r' 'h4/thm/arithmetic/SUB_PLUS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_r' 'h4/thm/real/REAL_MAX_ALT_0'
0. 'coq/Coq_NArith_BinNat_N_setbit_spec_prime'#@#variant 'h4/thm/integer/int_sub_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_lub_iff' 'h4/thm/util_prob/MAX_LE_X_'
0. 'coq/Coq_QArith_QArith_base_Qlt_not_le' 'h4/thm/real/REAL_LET_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_nle_gt' 'h4/thm/HolSmt/r096_'
0. 'coq/Coq_ZArith_BinInt_Z_lnot_lxor_l' 'h4/thm/arithmetic/ADD_CLAUSES_2'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_1_r' 'h4/thm/rat/RAT_SUB_RID_'
0. 'coq/Coq_NArith_BinNat_N_div_same'#@#variant 'h4/thm/real/REAL_DIV_REFL_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_pos_neg'#@#variant 'h4/thm/extreal/mul_lte_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_inj_wd' 'h4/thm/complex/CONJ_EQ2_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_lt_mono_l' 'h4/thm/hreal/HRAT_LT_LADD_'
0. 'coq/Coq_Reals_R_Ifp_Int_part_INR' 'h4/thm/complex/MODU_NUM_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_succ_l' 'h4/thm/arithmetic/ADD_CLAUSES_2'
0. 'coq/Coq_ZArith_BinInt_Z_abs_opp' 'h4/thm/numeral/numeral_add_6'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_iff' 'h4/thm/integerRing/int_calculate_8'
0. 'coq/Coq_Bool_Bool_diff_false_true' 'h4/thm/ieee/ccode_distinct_2'
0. 'coq/Coq_ZArith_BinInt_Z_negb_even' 'h4/thm/numRing/num_ring_thms_e17'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_le_iff' 'h4/thm/real/REAL_LE_MAX_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_total' 'h4/thm/arithmetic/LESS_CASES_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_sub_add' 'h4/thm/hreal/HREAL_SUB_ADD_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_assoc' 'h4/thm/hrat/TRAT_ADD_ASSOC_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_neq' 'h4/thm/prim_rec/LESS_NOT_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_ge_le_iff' 'h4/thm/pred_set/COUNT_applied_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_divide_mono_r' 'h4/thm/integer/TINT_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Reals_Rfunctions_pow_mult' 'h4/thm/complex/COMPLEX_SCALAR_RMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div_lt'#@#variant 'h4/thm/arithmetic/DIV_LESS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_glb' 'h4/thm/divides/DIVIDES_ADD_1_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_le_incl' 'h4/thm/rat/RAT_LES_IMP_LEQ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_cancel_r' 'h4/thm/arithmetic/EQ_ADD_RCANCEL_'
0. 'coq/Coq_ZArith_Znat_Z2N_inj_pos' 'h4/thm/hrat/hrat_sucint_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_succ_diag_r' 'h4/thm/divides/INDEX_LESS_PRIMES_'
0. 'coq/Coq_ZArith_Znat_Zabs2Nat_id_abs' 'h4/thm/complex/MODU_REAL_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_succ_lt_mono' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_succ_inj_wd' 'h4/thm/numeral/numeral_eq_e7'
0. 'coq/Coq_ZArith_BinInt_Z_ldiff_land' 'h4/thm/frac/frac_sub_def_'
0. 'coq/Coq_ZArith_BinInt_Z_max_lub_iff' 'h4/thm/arithmetic/MAX_LT_e1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_max_r' 'h4/thm/hreal/HRAT_LT_ADDR_'
0. 'coq/Coq_PArith_BinPos_Pos_divide_xO_xO' 'h4/thm/numeral/numeral_lte_e6'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_pow' 'h4/thm/complex/COMPLEX_MUL_LNEG_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_gt_lt_iff' 'h4/thm/integer/int_ge_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_succ_le_mono' 'h4/thm/numeral/numeral_distrib_22'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_id' 'h4/thm/ASCIInumbers/toNum_toString_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_gt_cases' 'h4/thm/arithmetic/LESS_CASES_'
0. 'coq/Coq_ZArith_Znat_positive_N_Z' 'h4/thm/rat/rat_sgn_def_'
0. 'coq/Coq_Reals_Rtrigo_def_sin_antisym' 'h4/thm/numeral/numeral_distrib_16'
0. 'coq/Coq_QArith_QArith_base_Qlt_irrefl' 'h4/thm/integer/TINT_LT_REFL_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_nonneg'#@#variant 'h4/thm/real/REAL_LE_MUL2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_le_compat_l' 'h4/thm/real/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_neg'#@#variant 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRL'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lt_0_sub'#@#variant 'h4/thm/extreal/sub_zero_le_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_testbit_even_0'#@#variant 'h4/thm/toto/num_dtOrd_4'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_succ_le_mono' 'h4/thm/numpair/tri_LT_'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_le_mono_r_iff'#@#variant 'h4/thm/int_arith/justify_divides_'#@#variant
0. 'coq/Coq_Reals_Rfunctions_pow_1'#@#variant 'h4/thm/complex/COMPLEX_POW_1_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_gt_lt_iff' 'h4/thm/integer/INT_GE_CALCULATE_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_id' 'h4/thm/extreal/min_refl_'
0. 'coq/Coq_MMaps_MMapPositive_PositiveMap_lt_rev_append' 'h4/thm/integer/TINT_LT_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_cancel_l' 'h4/thm/rat/RAT_EQ_LMUL_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_even' 'h4/thm/rat/rat_sgn_def_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_opp_r' 'h4/thm/complex/COMPLEX_SUB_RNEG_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lxor_0_l' 'h4/thm/integer/TINT_MUL_LID_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_RRle_abs' 'h4/thm/prim_rec/LESS_SUC_SUC_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div2_succ_double' 'h4/thm/transc/ATN_TAN_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_1_l' 'h4/thm/integer/INT_MUL_REDUCE_1'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_le_mono_r_iff'#@#variant 'h4/thm/arithmetic/EXP_BASE_LT_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_lt_mono_l_iff' 'h4/thm/int_arith/INT_DIVIDES_LRMUL_'#@#variant
0. 'coq/Coq_QArith_Qminmax_Q_min_le_compat_r' 'h4/thm/integer/TINT_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_sin_lb_gt_0'#@#variant 'h4/thm/transc/SIN_POS_PI_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zle_0_nat' 'h4/thm/extreal/lt_infty_0'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_compare_xO_xO' 'h4/thm/toto/qk_numeralOrd_6'
0. 'coq/Coq_Arith_PeanoNat_Nat_succ_lt_mono' 'h4/thm/arithmetic/LESS_EQ_MONO_'
0. 'coq/Coq_Bool_Bool_andb_false_iff' 'h4/thm/arithmetic/MULT_EQ_0_'
0. 'coq/Coq_Init_Peano_max_r' 'h4/thm/real/REAL_MAX_ALT_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_le_trans' 'h4/thm/real/REAL_LTE_TRANS_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_pred_succ' 'h4/thm/numpair/invtri_linverse_'
0. 'coq/Coq_ZArith_BinInt_Zplus_succ_r_reverse' 'h4/thm/rat/RAT_AINV_RMUL_'
0. 'coq/Coq_Reals_RIneq_Ropp_mult_distr_r' 'h4/thm/arithmetic/ADD_SUC_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sub_succ' 'h4/thm/integer/INT_NEG_MUL2_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_le_mono_l' 'h4/thm/real/REAL_LT_LADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_le_mono_r' 'h4/thm/rat/RAT_LES_RADD_'
0. 'coq/Coq_NArith_BinNat_N_lt_nge' 'h4/thm/real/REAL_NOT_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_ldiff_ldiff_l' 'h4/thm/frac/FRAC_SUB_ADD_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_cancel_l' 'h4/thm/rat/RAT_EQ_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_ge_le_iff' 'h4/thm/integer/INT_GE_CALCULATE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_1' 'h4/thm/rat/RAT_AINV_0_'
0. 'coq/Coq_ZArith_BinInt_Z_lnot_land' 'h4/thm/transc/EXP_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_clearbit_spec_prime'#@#variant 'h4/thm/HolSmt/r224_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_setbit_spec_prime'#@#variant 'h4/thm/integer/INT_SUB_CALCULATE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_div2_double'#@#variant 'h4/thm/transc/ATN_TAN_'
0. 'coq/Coq_ZArith_BinInt_Z_divide_Zpos' 'h4/thm/integer/int_lt_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lt_add_pos_r'#@#variant 'h4/thm/arithmetic/X_LE_X_EXP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_succ_le_mono' 'h4/thm/transc/EXP_MONO_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_le_compat_l' 'h4/thm/extreal/le_ladd_imp_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_lteq' 'h4/thm/real/REAL_LE_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_mul_r' 'h4/thm/arithmetic/EXP_EXP_MULT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_glb_iff' 'h4/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_cancel_r' 'h4/thm/real/REAL_EQ_RADD_'
0. 'coq/Coq_ZArith_BinInt_Z_add_le_mono_l' 'h4/thm/rat/RAT_LES_LADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_lt_mono' 'h4/thm/transc/EXP_MONO_LT_'
0. 'coq/Coq_NArith_Ndist_ni_min_O_r' 'h4/thm/extreal/mul_rzero_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_asymm' 'h4/thm/arithmetic/LESS_ANTISYM_'
0. 'coq/Coq_QArith_QArith_base_Qplus_le_r' 'h4/thm/integer/LT_LADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_involutive' 'h4/thm/integer/INT_NEGNEG_'
0. 'coq/Coq_Arith_Max_max_idempotent' 'h4/thm/real/REAL_MIN_REFL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_pos_l'#@#variant 'h4/thm/integer/INT_LE_MONO_'#@#variant
0. 'coq/Coq_omega_OmegaLemmas_OMEGA2' 'h4/thm/integer/TINT_LT_MUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_move_0_r' 'h4/thm/integer/INT_SUB_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_lt_mono_r_iff'#@#variant 'h4/thm/integer/INT_LE_MONO_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_pos_pos' 'h4/thm/binary_ieee/le2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_glb_lt' 'h4/thm/divides/DIVIDES_ADD_1_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_xI_succ_xO' 'h4/thm/numRing/num_rewrites_tLRLRR'
0. 'coq/Coq_ZArith_Znat_Zabs2N_id' 'h4/thm/complex/RE_COMPLEX_OF_REAL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_gcd_1_l' 'h4/thm/extreal/mul_lzero_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_succ_lt_mono' 'h4/thm/numeral/numeral_lt_3'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_gt' 'h4/thm/real/REAL_LE_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_nlt' 'h4/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_le_compat_l' 'h4/thm/integer/TINT_LT_ADD_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_Odd_succ' 'h4/thm/numeral/numeral_distrib_21'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_Nbasic_plusnS' 'h4/thm/arithmetic/ADD_CLAUSES_e3'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_le_neq' 'h4/thm/extreal/lt_total_'
0. 'coq/Coq_PArith_BinPos_Pos_lt_total' 'h4/thm/real/REAL_LT_TOTAL_'
0. 'coq/Coq_Reals_Rtrigo_calc_sin_lb_ge_0'#@#variant 'h4/thm/transc/SIN_POS_PI_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_null'#@#variant 'h4/thm/intExtension/INT_SGN_CLAUSES_e2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_succ_inj_wd' 'h4/thm/quote/index_11_e1'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_lt_mono' 'h4/thm/numeral/numeral_distrib_28'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_trichotomy' 'h4/thm/arithmetic/LESS_LESS_CASES_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_max_l' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_0'
0. 'coq/Coq_PArith_BinPos_Pos_add_cancel_r' 'h4/thm/arithmetic/EQ_ADD_RCANCEL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_le_mono' 'h4/thm/divides/LT_PRIMES_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_ge_le_iff' 'h4/thm/real/real_ge_'
0. 'coq/Coq_Init_Peano_plus_Sn_m' 'h4/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_lnot_diag'#@#variant 'h4/thm/real/REAL_ADD_RINV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_nlt_0_r' 'h4/thm/bit/BIT_ZERO_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_le_mono_r_iff'#@#variant 'h4/thm/logroot/LE_EXP_ISO_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_opp_l' 'h4/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_Reals_RIneq_Rgt_or_ge' 'h4/thm/integer/INT_LTE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_le_compat_l' 'h4/thm/integer/INT_LT_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_add_r' 'h4/thm/hreal/HRAT_LT_ADDL_'
0. 'coq/Coq_NArith_BinNat_N_double_inj' 'h4/thm/num/INV_SUC_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_pos'#@#variant 'h4/thm/binary_ieee/zero_lt_twopow_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_succ_r' 'h4/thm/real/REAL_MUL_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_refl' 'h4/thm/extreal/le_refl_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_sub' 'h4/thm/integer/INT_SUB_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_nonneg' 'h4/thm/transc/ATN_BOUNDS_0'#@#variant
0. 'coq/Coq_Bool_Bool_diff_false_true' 'h4/thm/prelim/ordering_distinct_0'
0. 'coq/Coq_Reals_Exp_prop_div2_double'#@#variant 'h4/thm/numeral_bit/NUMERAL_iDIV2_2'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_total' 'h4/thm/arithmetic/LESS_LESS_CASES_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_pos_r'#@#variant 'h4/thm/logroot/EXP_LT_ISO_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_le_refl' 'h4/thm/integer/TINT_EQ_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_le_compat_r' 'h4/thm/hrat/TRAT_MUL_WELLDEFINED_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftr_div_pow2'#@#variant 'h4/thm/complex/COMPLEX_SUB_RNEG_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_antisymm' 'h4/thm/divides/DIVIDES_ANTISYM_'
0. 'coq/Coq_NArith_BinNat_N_gcd_greatest' 'h4/thm/divides/DIVIDES_ADD_1_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_greatest' 'h4/thm/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_succ_le_mono' 'h4/thm/integerRing/int_rewrites_tRRRRRRLRRRR'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_lt_mono_pos_r' 'h4/thm/logroot/EXP_LT_ISO_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_le_iff' 'h4/thm/arithmetic/MAX_LT_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_eq_0_l' 'h4/thm/transc/RPOW_NZ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lcm_diag' 'h4/thm/real/REAL_MIN_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_eq_0_r' 'h4/thm/extreal/add_not_infty_0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_0_r' 'h4/thm/divides/DIVIDES_ONE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftr_shiftr' 'h4/thm/logroot/EXP_MUL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_square_spec' 'h4/thm/HolSmt/r216_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_gt_lt_iff' 'h4/thm/string/string_gt_def_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_le_refl' 'h4/thm/integer/INT_DIVIDES_REFL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sub_le_mono_r' 'h4/thm/integer/TINT_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_0_l' 'h4/thm/integer/INT_MOD0_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_max_le_iff' 'h4/thm/extreal/le_max_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_le_mono_r' 'h4/thm/arithmetic/EXP_BASE_LEQ_MONO_IMP_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_ge_le_iff' 'h4/thm/rat/rat_gre_def_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_div2' 'h4/thm/toto/num_dt_size_def_1'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ldiff_land' 'h4/thm/complex/COMPLEX_SUB_RNEG_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_pred_l' 'h4/thm/arithmetic/MULT_CLAUSES_4'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_0_l' 'h4/thm/HolSmt/r128_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_neg_neg'#@#variant 'h4/thm/extreal/le_mul_neg_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_inj_wd' 'h4/thm/toto/num_dt_11_0'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_bounded/0'#@#variant 'h4/thm/extreal/lt_infty_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_testbit_even_0'#@#variant 'h4/thm/quote/index_compare_def_4'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_1_r' 'h4/thm/arithmetic/ADD1_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sub_succ' 'h4/thm/arithmetic/SUB_MONO_EQ_'
0. 'coq/Coq_PArith_BinPos_Pos_mul_lt_mono_r' 'h4/thm/integer/INT_LE_RADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_le_mono_l' 'h4/thm/integer/LT_LADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lcm_1_l'#@#variant 'h4/thm/HolSmt/r129_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_nonneg_pos'#@#variant 'h4/thm/util_prob/REAL_LT_LE_MUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_succ_l' 'h4/thm/arithmetic/ADD_e1'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_max_l' 'h4/thm/extreal/le_max1_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_nonneg_l'#@#variant 'h4/thm/real/REAL_LE_LMUL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_succ_diag_r' 'h4/thm/real/ABS_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_inj_wd' 'h4/thm/prim_rec/INV_SUC_EQ_'
0. 'coq/Coq_QArith_Qreduction_Qred_compare' 'h4/thm/toto/numeralOrd_6'
0. 'coq/Coq_ZArith_BinInt_Z_log2_lor'#@#variant 'h4/thm/transc/LN_MUL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_xO'#@#variant 'h4/thm/extreal/extreal_abs_def_0'
0. 'coq/Coq_Reals_ROrderedType_ROrder_TO_le_lteq' 'h4/thm/rat/rat_leq_def_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_iff' 'h4/thm/binary_ieee/rounding2num_11_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_opp_r' 'h4/thm/real/real_sub_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_clearbit_spec_prime'#@#variant 'h4/thm/HolSmt/r224_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sub_add' 'h4/thm/arithmetic/SUB_ADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_w6_spec' 'h4/thm/integerRing/int_is_ring_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_rem_0_l' 'h4/thm/integer/INT_REM0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_max_distr_l' 'h4/thm/arithmetic/EXP_ADD_'
0. 'coq/Coq_Reals_R_sqrt_sqrt_Rsqr_abs' 'h4/thm/numeral/numeral_suc_1'
0. 'coq/Coq_ZArith_Zorder_Zplus_lt_compat_r' 'h4/thm/extreal/le_radd_imp_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mod_0_l' 'h4/thm/integer/INT_DIV_0_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_pos_pos' 'h4/thm/integer/INT_LT_MUL_'
0. 'coq/Coq_Reals_Rtrigo_calc_rad_deg' 'h4/thm/numRing/num_rewrites_tLLRRRR'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_land_diag' 'h4/thm/real/REAL_MIN_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_succ_discr' 'h4/thm/prim_rec/SUC_ID_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_id' 'h4/thm/arithmetic/MIN_IDEM_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_ge' 'h4/thm/real/REAL_LE_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_le_mono_r' 'h4/thm/integer/INT_LE_RADD_'
0. 'coq/Coq_ZArith_Zcomplements_Zlength_cons' 'h4/thm/list/LENGTH_SNOC_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_le_mono_l' 'h4/thm/integer/LT_LADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_succ_l' 'h4/thm/arithmetic/ADD_e1'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_negb_odd' 'h4/thm/integerRing/int_ring_thms_e17'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lxor_lnot_lnot' 'h4/thm/complex/COMPLEX_NEG_MUL2_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rmult_le_pos' 'h4/thm/realax/REAL_LT_MUL_'
0. 'coq/Coq_NArith_BinNat_N_le_pred_l' 'h4/thm/numpair/invtri_le_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_lt_mono_r' 'h4/thm/hreal/HRAT_LT_RADD_'
0. 'coq/Coq_Reals_RIneq_Rdiv_lt_0_compat' 'h4/thm/integer/INT_LT_MUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_succ_lt_mono' 'h4/thm/numeral/numeral_lte_e6'
0. 'coq/Coq_ZArith_BinInt_Z_shiftl_opp_r' 'h4/thm/rat/RAT_DIV_MULMINV_'
0. 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_gt_lt_iff' 'h4/thm/integer/INT_GE_CALCULATE_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_1_mul_pos'#@#variant 'h4/thm/extreal/let_mul_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_le_mono_l' 'h4/thm/integer/INT_LT_LADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_add_lt_sub_r' 'h4/thm/real/REAL_LT_ADD_SUB_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pos_pred_succ' 'h4/thm/extreal/real_normal_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_opp_l' 'h4/thm/arithmetic/ADD_CLAUSES_2'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftl_1_l'#@#variant 'h4/thm/numeral/numeral_texp_help_0'
0. 'coq/Coq_NArith_BinNat_N_lt_trichotomy' 'h4/thm/arithmetic/LESS_CASES_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_1_l' 'h4/thm/HolSmt/r213_'
0. 'coq/Coq_Arith_EqNat_eq_nat_refl' 'h4/thm/integer/INT_DIVIDES_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_add_lt_sub_r' 'h4/thm/integer/INT_LE_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_pos_le'#@#variant 'h4/thm/divides/DIVIDES_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_neg'#@#variant 'h4/thm/real/REAL_NEG_LE0_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_glb_lt' 'h4/thm/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_mul_l' 'h4/thm/arithmetic/LESS_IMP_LESS_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_le_incl' 'h4/thm/extreal/lt_imp_le_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_inj_wd' 'h4/thm/complex/COMPLEX_INV_INJ_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lxor_eq_0_iff' 'h4/thm/integer/INT_SUB_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_lt_mono_pos_r' 'h4/thm/logroot/EXP_LT_ISO_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lcm_divide_iff' 'h4/thm/arithmetic/MAX_LT_e1'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div_1_r' 'h4/thm/rat/RAT_SUB_RID_'
0. 'coq/Coq_ZArith_Znat_Z2N_inj_pos' 'h4/thm/complex/complex_of_num_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_le_iff' 'h4/thm/extreal/min_le_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_le_mono' 'h4/thm/divides/LT_PRIMES_'
0. 'coq/Coq_Numbers_Cyclic_DoubleCyclic_DoubleBase_lt_0_wB'#@#variant 'h4/thm/complex/MODU_POS_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_lt_mono_pos_l'#@#variant 'h4/thm/transc/RPOW_LT_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_glb_iff' 'h4/thm/extreal/le_min_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_of_Qc' 'h4/thm/binary_ieee/float_compare_BIJ_0'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_lt_mono_r' 'h4/thm/arithmetic/LESS_MONO_ADD_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_add_le_sub_r' 'h4/thm/real/REAL_LE_SUB_RADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_0_r'#@#variant 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRL'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sub_add_distr' 'h4/thm/frac/FRAC_SUB_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_sub' 'h4/thm/complex/COMPLEX_SUB_ADD_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_divide_mono_r' 'h4/thm/hrat/TRAT_ADD_WELLDEFINED_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_eq_le_incl' 'h4/thm/HolSmt/t006_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_pos_cancel_l'#@#variant 'h4/thm/real/REAL_LT_LMUL_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_lub_lt_iff' 'h4/thm/arithmetic/MAX_LT_e1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_add' 'h4/thm/integer/INT_SUB_ADD_'
0. 'coq/Coq_NArith_BinNat_N_min_le_compat_l' 'h4/thm/realax/TREAL_LT_ADD_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_neg_neg'#@#variant 'h4/thm/extreal/lt_mul_neg_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lt_succ_diag_r' 'h4/thm/prim_rec/LESS_SUC_SUC_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_factor_r' 'h4/thm/real/REAL_LE_MAX2_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_sub_le_add_r' 'h4/thm/real/REAL_LT_SUB_RADD_'
0. 'coq/Coq_PArith_BinPos_Pos_lt_1_succ' 'h4/thm/integral/LT_0_'
0. 'coq/Coq_NArith_BinNat_N_eq_mul_0' 'h4/thm/extreal/entire_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lor_eq_0_iff' 'h4/thm/arithmetic/ADD_EQ_0_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_cancel_l' 'h4/thm/rat/RAT_EQ_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_le_mono' 'h4/thm/numeral/numeral_distrib_28'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_le_mono_r' 'h4/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_lt_mono_l' 'h4/thm/real/REAL_LE_LADD_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_neg_xO'#@#variant 'h4/thm/quote/index_size_def_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_nonneg' 'h4/thm/integral/LT_0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_pos_r'#@#variant 'h4/thm/intExtension/INT_GT_RMUL_EXP_'#@#variant
0. 'coq/Coq_Reals_RIneq_S_INR' 'h4/thm/rat/RAT_OF_NUM_e1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_pred_l' 'h4/thm/integer/INT_NEG_LMUL_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_1_r' 'h4/thm/integer/INT_ADD_CALCULATE_1'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_double_spec'#@#variant 'h4/thm/arithmetic/SUC_ONE_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_divide_mono_r' 'h4/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_succ_r' 'h4/thm/integer/INT_NEG_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_double_spec'#@#variant 'h4/thm/integer/INT_NEG_MINUS1_'#@#variant
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_iff' 'h4/thm/ieee/ccode2num_11_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_neq' 'h4/thm/realax/HREAL_LT_NE_'
0. 'coq/Coq_ZArith_Znat_Zabs2N_id' 'h4/thm/binary_ieee/float_compare_BIJ_0'
0. 'coq/Coq_ZArith_Znat_Zabs_nat_N' 'h4/thm/realax/hreal_of_real_'#@#variant
0. 'coq/Coq_Reals_Rtrigo_calc_Rgt_3PI2_0'#@#variant 'h4/thm/extreal/half_between_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_le_lin'#@#variant 'h4/thm/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Sets_Uniset_seq_refl' 'h4/thm/sorting/PERM_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sub_le_mono_r' 'h4/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_diag' 'h4/thm/arithmetic/ABS_DIFF_EQS_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_succ_diag_r' 'h4/thm/real/ABS_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_0_l'#@#variant 'h4/thm/transc/ONE_RPOW_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_eq_mul_m1'#@#variant 'h4/thm/arithmetic/DIV2_def_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_pos'#@#variant 'h4/thm/numeral/numeral_distrib_33'
0. 'coq/Coq_NArith_BinNat_N_eq_mul_0' 'h4/thm/real/REAL_ENTIRE_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_pos_le'#@#variant 'h4/thm/divides/DIVIDES_LE_'#@#variant
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_double'#@#variant 'h4/thm/complex/COMPLEX_OF_REAL_NEG_'#@#variant
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_IsTO_le_lteq' 'h4/thm/integer/INT_LE_CALCULATE_'
0. 'coq/Coq_Sorting_Permutation_Permutation_refl' 'h4/thm/Encode/biprefix_refl_'
0. 'coq/Coq_ZArith_BinInt_Z_add_opp_diag_r' 'h4/thm/rat/RAT_ADD_RINV_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_ge_le_iff' 'h4/thm/HolSmt/r103_'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_minus_one_neq_zero'#@#variant 'h4/thm/ieee/roundmode_distinct_2'
0. 'coq/Coq_Reals_Rbasic_fun_Rmax_l' 'h4/thm/integer/INT_DIVIDES_MUL_0'
0. 'coq/Coq_Arith_PeanoNat_Nat_negb_even' 'h4/thm/integerRing/int_ring_thms_e17'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_le_iff' 'h4/thm/arithmetic/MAX_LE_0'
0. 'coq/Coq_QArith_Qround_Qceiling_Z' 'h4/thm/frac/frac_tybij_0'#@#variant
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_pred' 'h4/thm/complex/COMPLEX_OF_REAL_NEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_id' 'h4/thm/extreal/max_refl_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_nlt' 'h4/thm/rat/RAT_LES_LEQ_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_nonneg_nonpos'#@#variant 'h4/thm/extreal/mul_le_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_nlt_ge' 'h4/thm/HolSmt/r115_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_nonneg_r'#@#variant 'h4/thm/arithmetic/DIV_LE_MONOTONE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_lt_iff' 'h4/thm/real/REAL_LE_MAX_'
0. 'coq/Coq_ZArith_BinInt_Z_log2_le_mono' 'h4/thm/divides/LT_PRIMES_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_add_r' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_0'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_pred_succ' 'h4/thm/numeral_bit/NUMERAL_iDIV2_2'
0. 'coq/Coq_QArith_QArith_base_Zle_Qle' 'h4/thm/real/REAL_LT_'
0. 'coq/Coq_ZArith_Znat_Z2N_inj_lt'#@#variant 'h4/thm/float/FLOAT_GT_'
0. 'coq/Coq_NArith_BinNat_N_sub_le_mono_r' 'h4/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_divide_l' 'h4/thm/real/REAL_MIN_LE1_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_glb' 'h4/thm/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_min_l' 'h4/thm/real/REAL_MIN_LE1_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_iff' 'h4/thm/real/REAL_OF_NUM_EQ_'
0. 'coq/Coq_NArith_BinNat_N_mul_1_l' 'h4/thm/integer/INT_ADD_REDUCE_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_1' 'h4/thm/numeral_bit/NUMERAL_iDIV2_1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_antisymm' 'h4/thm/rat/RAT_LEQ_ANTISYM_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_succ_diag_r' 'h4/thm/real/ABS_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_antisymm' 'h4/thm/rat/RAT_LEQ_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_add_le' 'h4/thm/real/ABS_TRIANGLE_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_diag' 'h4/thm/real/REAL_DOUBLE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_le_trans' 'h4/thm/arithmetic/LESS_LESS_EQ_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_1_l'#@#variant 'h4/thm/numeral/texp_help_def_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftl_mul_pow2'#@#variant 'h4/thm/complex/complex_sub_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_sub' 'h4/thm/real/REAL_SUB_ADD_'
0. 'coq/Coq_ZArith_BinInt_Z_clearbit_spec_prime'#@#variant 'h4/thm/complex/complex_sub_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lcm_least' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_e2'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_red' 'h4/thm/toto/num_dt_size_def_e2'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lxor_eq' 'h4/thm/extreal/sub_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_null_iff' 'h4/thm/integer/INT_DIV_CALCULATE_3'#@#variant
0. 'coq/Coq_Arith_Gt_gt_Sn_O' 'h4/thm/transc/SIN_BOUNDS_e1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_0_r_nonneg'#@#variant 'h4/thm/transc/RPOW_1_'#@#variant
0. 'coq/Coq_Reals_RIneq_Ropp_div' 'h4/thm/complex/COMPLEX_MUL_LNEG_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_pow_0_r'#@#variant 'h4/thm/arithmetic/MOD_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div2_succ_double' 'h4/thm/transc/ATN_e2'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_cancel_l' 'h4/thm/rat/RAT_EQ_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_nle_gt' 'h4/thm/extreal/extreal_lt_def_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftl_opp_r' 'h4/thm/extreal/extreal_sub_add_'
0. 'coq/Coq_ZArith_Zgcd_alt_fibonacci_pos'#@#variant 'h4/thm/extreal/lt_infty_0'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_le_mono_pos_l'#@#variant 'h4/thm/real/REAL_LT_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_asymm' 'h4/thm/rat/RAT_LES_ANTISYM_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_l' 'h4/thm/real/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_factor_r' 'h4/thm/hreal/HRAT_LT_ADDR_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_le_compat_r' 'h4/thm/arithmetic/LESS_MONO_ADD_'
0. 'coq/Coq_ZArith_BinInt_Z_clearbit_spec_prime'#@#variant 'h4/thm/rat/RAT_DIV_MULMINV_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_id' 'h4/thm/extreal/max_refl_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_iff' 'h4/thm/extreal/extreal_11_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mod_0_l' 'h4/thm/integer/INT_MOD0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_testbit_even_0'#@#variant 'h4/thm/toto/numeralOrd_3'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_le_mono_r_iff'#@#variant 'h4/thm/real/REAL_LT_LMUL_'#@#variant
0. 'coq/Coq_fourier_Fourier_util_Rle_zero_pos_plus1'#@#variant 'h4/thm/extreal/sqrt_pos_le_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_add_pos_l'#@#variant 'h4/thm/arithmetic/X_LT_EXP_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_sub_le_add_r' 'h4/thm/arithmetic/SUB_LEFT_GREATER_EQ_'
0. 'coq/Coq_Lists_List_lel_refl' 'h4/thm/sorting/PERM_SINGLE_SWAP_REFL_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_double' 'h4/thm/quote/index_size_def_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_1_l' 'h4/thm/real/REAL_DIV_LZERO_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_le_compat_l' 'h4/thm/realax/TREAL_LT_ADD_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_min_l' 'h4/thm/real/REAL_MIN_ALT_0'
0. 'coq/Coq_ZArith_BinInt_Z_pow_mul_r'#@#variant 'h4/thm/arithmetic/DIV_DIV_DIV_MULT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_succ_l' 'h4/thm/frac/FRAC_AINV_LMUL_'
0. 'coq/Coq_Reals_Rbasic_fun_Rle_min_compat_l' 'h4/thm/extreal/le_ladd_imp_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_is_nonneg'#@#variant 'h4/thm/float/twogz_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_simpl_r' 'h4/thm/real/REAL_SUB_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_Even_or_Odd' 'h4/thm/arithmetic/EVEN_OR_ODD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gt_lt_iff' 'h4/thm/integer/INT_GE_CALCULATE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_le_mono' 'h4/thm/bit/TWOEXP_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_lt_mono_r' 'h4/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_Reals_Ratan_atan_right_inv' 'h4/thm/numeral/numeral_add_0'#@#variant
0. 'coq/Coq_omega_OmegaLemmas_Zred_factor0' 'h4/thm/integer/INT_ADD_CALCULATE_1'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_1_mul_pos'#@#variant 'h4/thm/arithmetic/ONE_LT_MULT_IMP_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_lt_lin'#@#variant 'h4/thm/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_lt_mono' 'h4/thm/numeral/numeral_distrib_28'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_pred' 'h4/thm/transc/ATN_TAN_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_max_l' 'h4/thm/integer/INT_DIVIDES_MUL_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_lt_mono' 'h4/thm/real/REAL_LT_NEG_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_lxor_l' 'h4/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_le_mono' 'h4/thm/integer/TINT_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_lt_mono_pos_l'#@#variant 'h4/thm/real/REAL_LE_LMUL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z2Pos_inj_sqrt' 'h4/thm/extreal/extreal_ainv_def_e2'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_size_nat_monotone' 'h4/thm/realax/TREAL_ISO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_1_l'#@#variant 'h4/thm/divides/ONE_DIVIDES_ALL_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_power_norm' 'h4/thm/float/REAL_POW_LE_1_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_divide_lcm_l' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_0'
0. 'coq/Coq_Reals_Rminmax_R_min_le_compat_r' 'h4/thm/arithmetic/LESS_MONO_MULT_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_succ_r' 'h4/thm/extreal/mul_rneg_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_succ_l' 'h4/thm/arithmetic/MULT_e1'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_le_iff' 'h4/thm/arithmetic/MIN_LT_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_negb_even' 'h4/thm/ratRing/rat_ring_thms_e17'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_rem_opp_l_prime' 'h4/thm/complex/COMPLEX_MUL_LNEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_lcm_l' 'h4/thm/integer/INT_DIVIDES_MUL_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_pos_le' 'h4/thm/divides/DIVIDES_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_1_mul_pos'#@#variant 'h4/thm/arithmetic/ONE_LT_MULT_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_0_r' 'h4/thm/divides/DIVIDES_ONE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_neg_neg'#@#variant 'h4/thm/extreal/le_mul_neg_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_of_Qc' 'h4/thm/rat/RAT_SGN_CALCULATE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_succ_l' 'h4/thm/complex/COMPLEX_NEG_LDIV_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_sub_add_distr' 'h4/thm/arithmetic/SUB_RIGHT_SUB_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_sqrt' 'h4/thm/DeepSyntax/deep_form_size_def_2'#@#variant
0. 'coq/Coq_Reals_Rsqrt_def_pow_2_n_neq_R0' 'h4/thm/binary_ieee/float_value_distinct_1'
0. 'coq/Coq_NArith_BinNat_N_log2_pos'#@#variant 'h4/thm/transc/EXP_LT_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div_pos'#@#variant 'h4/thm/extreal/lte_add_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_le_lt_mono' 'h4/thm/integer/INT_LET_ADD2_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lor_eq_0_iff' 'h4/thm/arithmetic/ADD_EQ_0_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_cancel_l' 'h4/thm/arithmetic/LT_ADD_LCANCEL_'
0. 'coq/Coq_Reals_Rbasic_fun_RRle_abs' 'h4/thm/divides/INDEX_LESS_PRIMES_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_pos_pos' 'h4/thm/realax/REAL_LT_MUL_'
0. 'coq/Coq_PArith_BinPos_Pos_gcd_divide_l' 'h4/thm/real/REAL_MIN_LE1_'
0. 'coq/Coq_ZArith_BinInt_Z_abs_pow' 'h4/thm/arithmetic/PRE_SUB_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_cancel_l' 'h4/thm/rat/RAT_EQ_LMUL_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lt_neq' 'h4/thm/real/REAL_LT_IMP_NE_'
0. 'coq/Coq_QArith_Qabs_Qabs_triangle' 'h4/thm/real/ABS_TRIANGLE_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_gt' 'h4/thm/extreal/extreal_le_def_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_Zpos' 'h4/thm/real/le_int_0'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_comm' 'h4/thm/hrat/TRAT_MUL_SYM_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_mul_lt_mono_l' 'h4/thm/arithmetic/ADD_MONO_LESS_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_lcm_l' 'h4/thm/extreal/le_max1_'
0. 'coq/Coq_Reals_Ratan_Alt_PI_eq' 'h4/thm/real/real_of_num_0'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_succ_l' 'h4/thm/arithmetic/LESS_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_quot_same'#@#variant 'h4/thm/integer/INT_DIV_ID_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_lt_mono_r' 'h4/thm/arithmetic/LESS_EQ_MONO_ADD_EQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_negb_odd' 'h4/thm/numRing/num_ring_thms_e17'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_eq_mul_1'#@#variant 'h4/thm/arithmetic/ADD_EQ_0_'
0. 'coq/Coq_PArith_BinPos_Pos_pow_succ_r' 'h4/thm/arithmetic/MULT_SUC_'
0. 'coq/Coq_Reals_Rpower_arcsinh_lt' 'h4/thm/transc/EXP_MONO_IMP_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sub_add_distr' 'h4/thm/logroot/EXP_MUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_add_lt_sub_r' 'h4/thm/integer/INT_LT_SUB_RADD_'
0. 'coq/Coq_ZArith_BinInt_Z_Even_or_Odd' 'h4/thm/arithmetic/EVEN_OR_ODD_'
0. 'coq/Coq_ZArith_BinInt_Z_land_nonneg'#@#variant 'h4/thm/arithmetic/ZERO_LESS_ADD_'#@#variant
0. 'coq/Coq_Bool_Bool_negb_true_iff' 'h4/thm/numeral/numeral_distrib_18'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_id' 'h4/thm/arithmetic/MIN_IDEM_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_opp_r' 'h4/thm/complex/COMPLEX_MUL_RNEG_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_mod' 'h4/thm/integer/INT_REM_'
0. 'coq/Coq_ZArith_BinInt_Zpos_eq_iff' 'h4/thm/DeepSyntax/deep_form_11_5'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_le_mono_r' 'h4/thm/real/REAL_LE_SUB_CANCEL2_'
0. 'coq/Coq_ZArith_BinInt_Z_lcm_diag' 'h4/thm/numeral/iSQR_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_1_l'#@#variant 'h4/thm/integer/INT_DIVIDES_1_0'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_succ_inj_wd' 'h4/thm/string/EXPLODE_11_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_involutive' 'h4/thm/int_bitwise/int_not_not_'
0. 'coq/Coq_NArith_BinNat_N_pos_pred_succ' 'h4/thm/toto/num2cpn_cpn2num_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_add_le' 'h4/thm/real/ABS_TRIANGLE_'
0. 'coq/Coq_ZArith_Zbool_Zlt_is_lt_bool' 'h4/thm/quote/index_lt_def_'
0. 'coq/Coq_Reals_RIneq_Rnot_le_lt' 'h4/thm/real/REAL_LET_TOTAL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_le_compat_r' 'h4/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_eq_0' 'h4/thm/arithmetic/MULT_EQ_0_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_le_trans' 'h4/thm/rat/RAT_LES_LEQ_TRANS_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_succ_diag_r' 'h4/thm/prim_rec/LESS_SUC_SUC_0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_1_r' 'h4/thm/rat/RAT_MUL_RZERO_'
0. 'coq/Coq_NArith_BinNat_N_pow_lt_mono_r' 'h4/thm/real/REAL_LE_LMUL_IMP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_le_mono_r' 'h4/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_sub_le_add_r' 'h4/thm/arithmetic/SUB_LEFT_GREATER_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_eq_add_0' 'h4/thm/arithmetic/ADD_EQ_0_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_le_max_l' 'h4/thm/arithmetic/LESS_EQ_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lcm_diag' 'h4/thm/real/REAL_MAX_REFL_'
0. 'coq/Coq_QArith_Qround_Qceiling_Z' 'h4/thm/string_num/s2n_n2s_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_sub_le_add_l' 'h4/thm/rat/RAT_LSUB_LES_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_negb_odd' 'h4/thm/ratRing/rat_ring_thms_e17'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_1_l'#@#variant 'h4/thm/HolSmt/r221_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_compare_xO_xO' 'h4/thm/toto/qk_numeralOrd_6'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_opp_r' 'h4/thm/real/real_sub_'
0. 'coq/Coq_ZArith_Zeven_Zodd_pred' 'h4/thm/transc/EXP_LT_1_'#@#variant
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_pred' 'h4/thm/extreal/extreal_exp_def_0'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_add_r' 'h4/thm/hreal/HRAT_LT_ADDL_'
0. 'coq/Coq_NArith_BinNat_N_add_1_l'#@#variant 'h4/thm/HolSmt/r221_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_inj' 'h4/thm/divides/PRIMES_11_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_nonneg_r'#@#variant 'h4/thm/integral/REAL_LE_RMUL1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_succ_not_1' 'h4/thm/toto/num_dt_distinct_0'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_is_pos' 'h4/thm/realax/REAL_POS_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftr_div_pow2'#@#variant 'h4/thm/extreal/sub_rneg_'
0. 'coq/Coq_Reals_Rtrigo_calc_sin_cos_PI4'#@#variant 'h4/thm/numeral/numeral_iisuc_0'
0. 'coq/Coq_ZArith_Zeven_Zodd_not_Zeven' 'h4/thm/float/FLOAT_DISTINCT_1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ldiff_land' 'h4/thm/frac/frac_sub_def_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_eq_mul_0' 'h4/thm/intExtension/INT_NO_ZERODIV_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_le_max_l' 'h4/thm/hreal/HRAT_LT_ADDL_'
0. 'coq/Coq_Reals_RIneq_Rlt_not_le' 'h4/thm/integer/INT_LTE_ANTSYM_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_1_l'#@#variant 'h4/thm/HolSmt/r129_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_divide_refl' 'h4/thm/divides/DIVIDES_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_pred' 'h4/thm/string/EXPLODE_IMPLODE_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_div_1_r' 'h4/thm/integer/INT_ADD_CALCULATE_1'
0. 'coq/Coq_ZArith_BinInt_Z_log2_double'#@#variant 'h4/thm/transc/LN_INV_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_eq_1'#@#variant 'h4/thm/arithmetic/MULT_EQ_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lcm_eq_0' 'h4/thm/intExtension/INT_NO_ZERODIV_'#@#variant
0. 'coq/Coq_Arith_Lt_lt_not_le' 'h4/thm/arithmetic/LESS_EQ_ANTISYM_'
0. 'coq/Coq_ZArith_Zpower_two_power_pos_equiv'#@#variant 'h4/thm/ratRing/rat_ring_thms_e17'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qplus_lt_l' 'h4/thm/hreal/HRAT_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_sub_le_add_r' 'h4/thm/real/REAL_LT_ADD_SUB_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div2_succ_double' 'h4/thm/transc/LN_EXP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lcm_divide_iff' 'h4/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_mul_inv_diag_l' 'h4/thm/realax/TREAL_MUL_LINV_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_nonneg_pos'#@#variant 'h4/thm/util_prob/REAL_LT_LE_MUL_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_r' 'h4/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ge_le_iff' 'h4/thm/integer/int_ge_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lcm_1_l'#@#variant 'h4/thm/integer/INT_SUB_REDUCE_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_clearbit_spec_prime'#@#variant 'h4/thm/HolSmt/r131_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_eq_mul_0' 'h4/thm/real/REAL_ENTIRE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_pos_nonneg'#@#variant 'h4/thm/extreal/let_mul_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_greatest' 'h4/thm/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_lt_mono'#@#variant 'h4/thm/real/REAL_LE_MUL2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_le_mono_l' 'h4/thm/arithmetic/LT_ADD_LCANCEL_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_ge' 'h4/thm/extreal/extreal_le_def_0'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_pred' 'h4/thm/rat/RAT_AINV_CALCULATE_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_opp_r' 'h4/thm/extreal/extreal_div_def_'
0. 'coq/Coq_NArith_BinNat_N_le_refl' 'h4/thm/hrat/TRAT_EQ_REFL_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zsucc_gt_compat' 'h4/thm/divides/LT_PRIMES_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_pred_double_spec' 'h4/thm/numRing/num_rewrites_tLRLRR'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_pos'#@#variant 'h4/thm/numeral/numeral_distrib_32'
0. 'coq/Coq_Bool_Bool_diff_true_false' 'h4/thm/ieee/ccode_distinct_0'
0. 'coq/Coq_ZArith_BinInt_Z_min_le_compat_r' 'h4/thm/arithmetic/LESS_MONO_ADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_succ_lt_mono' 'h4/thm/integerRing/int_rewrites_tRRRRRRLRRRR'
0. 'coq/Coq_ZArith_Znat_Z2Nat_id'#@#variant 'h4/thm/ASCIInumbers/DEC_UNDEC_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_1_r' 'h4/thm/HolSmt/r223_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_not_add_l' 'h4/thm/hrat/TRAT_NOZERO_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_pow_0_l'#@#variant 'h4/thm/transc/ONE_RPOW_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_cancel_l' 'h4/thm/rat/RAT_EQ_LADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_lt_mono_pos_l'#@#variant 'h4/thm/logroot/LT_EXP_ISO_'#@#variant
0. 'coq/Coq_Reals_SeqProp_CV_minus' 'h4/thm/seq/SEQ_ADD_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_sqrt' 'h4/thm/extreal/extreal_inv_def_e2'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_square_spec' 'h4/thm/HolSmt/r216_'#@#variant
0. 'coq/Coq_Reals_Rpower_arcsinh_le' 'h4/thm/transc/EXP_MONO_IMP_'
0. 'coq/Coq_Init_Datatypes_CompOpp_involutive' 'h4/thm/real/REAL_NEG_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_double_spec'#@#variant 'h4/thm/real/REAL_NEG_MINUS1_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_lt_mono_nonneg'#@#variant 'h4/thm/integer/INT_LT_MUL2_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_divide_mono_l' 'h4/thm/realax/REAL_LT_IADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_pos_pos' 'h4/thm/integer/TINT_LT_MUL_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_nlt_ge' 'h4/thm/real/real_lt_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_add_r' 'h4/thm/arithmetic/LESS_EQ_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_succ_pred_double' 'h4/thm/numeral/numeral_pre_e4'
0. 'coq/Coq_Arith_PeanoNat_Nat_nlt_0_r' 'h4/thm/prim_rec/NOT_LESS_0_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_glb' 'h4/thm/divides/DIVIDES_SUB_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_negb_odd' 'h4/thm/integerRing/int_ring_thms_e17'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_setbit_spec_prime'#@#variant 'h4/thm/integer/INT_SUB_RNEG_'
0. 'coq/Coq_Arith_PeanoNat_Nat_eq_mul_0_r' 'h4/thm/extreal/add_not_infty_0'
0. 'coq/Coq_ZArith_BinInt_Z_add_move_r' 'h4/thm/integer/INT_EQ_SUB_LADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_pos_l'#@#variant 'h4/thm/arithmetic/EXP_BASE_LE_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sub_lt'#@#variant 'h4/thm/arithmetic/SUB_LESS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftl_opp_r' 'h4/thm/rat/RAT_DIV_MULMINV_'
0. 'coq/Coq_NArith_BinNat_N_eq_le_incl' 'h4/thm/realax/TREAL_EQ_AP_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_gt_lt_iff' 'h4/thm/rat/rat_gre_def_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_0_r'#@#variant 'h4/thm/util_prob/logr_1_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rle_min_compat_r' 'h4/thm/extreal/le_radd_imp_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_inj_wd' 'h4/thm/prim_rec/INV_SUC_EQ_'
0. 'coq/Coq_PArith_BinPos_Pos_succ_lt_mono' 'h4/thm/numeral/numeral_distrib_22'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_le_mono' 'h4/thm/prim_rec/LESS_MONO_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lcm_1_l' 'h4/thm/extreal/sub_lzero_'
0. 'coq/Coq_Reals_ROrderedType_ROrder_lt_le_trans' 'h4/thm/real/REAL_LTE_TRANS_'
0. 'coq/Coq_Numbers_Natural_BigN_Nbasic_base_xO'#@#variant 'h4/thm/integer/int_of_num_e1'
0. 'coq/Coq_Arith_PeanoNat_Nat_div2_double'#@#variant 'h4/thm/string/IMPLODE_EXPLODE_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_le_mono_r' 'h4/thm/arithmetic/LESS_EQ_MONO_ADD_EQ_'
0. 'coq/Coq_NArith_BinNat_N_gt_lt_iff' 'h4/thm/real/real_gt_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_succ_l' 'h4/thm/complex/COMPLEX_MUL_LNEG_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_lt_mono_r' 'h4/thm/real/REAL_LE_SUB_CANCEL2_'
0. 'coq/Coq_Bool_Bool_diff_false_true' 'h4/thm/binary_ieee/rounding_distinct_3'
0. 'coq/Coq_Reals_Raxioms_Rlt_asym' 'h4/thm/integer/INT_LT_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_nonpos_nonneg'#@#variant 'h4/thm/real/REAL_NEG_LE0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_lt_mono_l' 'h4/thm/real/REAL_LT_LADD_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_divide_mono_l' 'h4/thm/realax/TREAL_LT_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_nonneg' 'h4/thm/transc/ATN_BOUNDS_0'#@#variant
0. 'coq/Coq_Lists_List_length_zero_iff_nil' 'h4/thm/list/LENGTH_EQ_NUM_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lcm_1_l'#@#variant 'h4/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_lub_lt_iff' 'h4/thm/extreal/max_le_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_eq_add_0' 'h4/thm/gcd/GCD_EQ_0_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_le_mono_pos_l'#@#variant 'h4/thm/transc/RPOW_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_le_compat_r' 'h4/thm/arithmetic/LESS_MONO_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_le_mono_l' 'h4/thm/integer/LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_succ_not_1' 'h4/thm/arithmetic/SUC_NOT_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_succ_lt_mono' 'h4/thm/transc/EXP_MONO_LT_'
0. 'coq/Coq_NArith_BinNat_N_le_refl' 'h4/thm/rat/RAT_EQUIV_REF_'
0. 'coq/Coq_ZArith_BinInt_Z_add_le_mono_l' 'h4/thm/arithmetic/LE_ADD_LCANCEL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_add_lt_sub_r' 'h4/thm/integer/INT_LT_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_pos'#@#variant 'h4/thm/transc/LN_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_neq' 'h4/thm/integral/LT_LE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_le_mono_r_iff'#@#variant 'h4/thm/transc/RPOW_LT_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rnot_gt_ge' 'h4/thm/integer/INT_LTE_TOTAL_'
0. 'coq/Coq_ZArith_BinInt_Z_opp_pos_neg'#@#variant 'h4/thm/integer/INT_NEG_GT0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_simpl_r' 'h4/thm/complex/COMPLEX_SUB_ADD_'#@#variant
0. 'coq/Coq_FSets_FSetPositive_PositiveSet_eq_refl' 'h4/thm/divides/DIVIDES_REFL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_quot_1_r' 'h4/thm/HolSmt/r214_'
0. 'coq/Coq_ZArith_BinInt_Z_gcd_1_r' 'h4/thm/integer/INT_MUL_REDUCE_0'
0. 'coq/Coq_Reals_Rsqrt_def_Rsqrt_positivity'#@#variant 'h4/thm/extreal/lt_infty_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_lt_mono_r' 'h4/thm/arithmetic/LE_ADD_RCANCEL_'
0. 'coq/Coq_Program_Wf_measure_wf' 'h4/thm/relation/reflexive_inv_image_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_land_diag' 'h4/thm/extreal/max_refl_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_clearbit_spec_prime'#@#variant 'h4/thm/real/real_sub_'
0. 'coq/Coq_Arith_Div2_div2_double'#@#variant 'h4/thm/string/EXPLODE_IMPLODE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_inj_wd' 'h4/thm/complex/COMPLEX_INV_INJ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_1_mul_pos'#@#variant 'h4/thm/arithmetic/ONE_LT_MULT_IMP_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_sqrt' 'h4/thm/extreal/extreal_abs_def_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_odd_1' 'h4/thm/float/FLOAT_INFINITIES_SIGNED_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_lt_mono_r_iff'#@#variant 'h4/thm/transc/RPOW_LE_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_le_lt_mono' 'h4/thm/integer/INT_LET_ADD2_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div2_double' 'h4/thm/transc/ATN_e2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_quot_1_r' 'h4/thm/integer/INT_ADD_REDUCE_1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_lt_mono_r' 'h4/thm/integer/INT_LE_RADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_trichotomy' 'h4/thm/hreal/HRAT_LT_TOTAL_'
0. 'coq/Coq_Reals_Rtrigo_calc_sqrt2_neq_0'#@#variant 'h4/thm/ieee/ccode_distinct_3'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div_mul' 'h4/thm/real/REAL_DIV_RMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_1' 'h4/thm/intExtension/INT_ABS_CALCULATE_0_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_opp_neg' 'h4/thm/util_prob/lg_pow_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_divide_mono_l' 'h4/thm/integer/INT_LT_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_lub_lt_iff' 'h4/thm/arithmetic/MAX_LT_e1'
0. 'coq/Coq_ZArith_Zlogarithm_log_near_correct1'#@#variant 'h4/thm/real/POW_2_LE1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_lt_mono_r' 'h4/thm/arithmetic/LE_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_nonneg'#@#variant 'h4/thm/transc/RPOW_POS_LT_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_move_r' 'h4/thm/complex/COMPLEX_EQ_SUB_LADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_lt_le_mono' 'h4/thm/real/REAL_LTE_ADD2_'
0. 'coq/Coq_Init_Datatypes_CompOpp_involutive' 'h4/thm/complex/CONJ_CONJ_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_mul_lt_mono_r' 'h4/thm/arithmetic/LESS_MONO_ADD_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_0_l' 'h4/thm/integer/INT_SUB_REDUCE_1'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_le_compat_l' 'h4/thm/integer/TINT_LT_ADD_'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_minus_one_neq_zero'#@#variant 'h4/thm/binary_ieee/float_compare_distinct_2'
0. 'coq/Coq_NArith_Nnat_N2Nat_id' 'h4/thm/binary_ieee/num2rounding_rounding2num_'
0. 'coq/Coq_Bool_Bool_negb_andb' 'h4/thm/complex/COMPLEX_EXP_SUB_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_succ_inj_wd' 'h4/thm/string/IMPLODE_11_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_sub_le_add_r' 'h4/thm/real/REAL_LE_SUB_LADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_diag' 'h4/thm/extreal/min_refl_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_0_l' 'h4/thm/util_prob/lg_def_'#@#variant
0. 'coq/Coq_Reals_R_sqrt_sqrt_lt_0_alt' 'h4/thm/arithmetic/LESS_MONO_REV_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_lor' 'h4/thm/transc/EXP_ADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_irrefl' 'h4/thm/realax/TREAL_LT_REFL_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_le_min_l' 'h4/thm/real/REAL_MIN_LE1_'
0. 'coq/Coq_ZArith_BinInt_Z_mod_1_r'#@#variant 'h4/thm/arithmetic/EXP_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_setbit_spec_prime'#@#variant 'h4/thm/rat/RAT_DIV_MULMINV_'
0. 'coq/Coq_NArith_BinNat_N_pow_1_r' 'h4/thm/extreal/add_rzero_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_Odd_succ' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRL'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pred_le_mono' 'h4/thm/divides/LT_PRIMES_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_max_l' 'h4/thm/arithmetic/LESS_EQ_ADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_nle' 'h4/thm/rat/RAT_LEQ_LES_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_nle_gt' 'h4/thm/HolSmt/r115_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_glb' 'h4/thm/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_move_0_r' 'h4/thm/real/REAL_SUB_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_succ_inj_wd' 'h4/thm/string/EXPLODE_11_'#@#variant
0. 'coq/Coq_Arith_Gt_gt_irrefl' 'h4/thm/rat/RAT_LES_REF_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_square_spec' 'h4/thm/HolSmt/r216_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_divide_mono_l' 'h4/thm/realax/TREAL_LT_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lxor_eq_0_iff' 'h4/thm/integer/INT_SUB_0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_pos_pos' 'h4/thm/integer/TINT_LT_MUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_b2z_div2'#@#variant 'h4/thm/extreal/extreal_sub_def_3'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lxor_m1_l'#@#variant 'h4/thm/HolSmt/r128_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rmult_gt_0_compat' 'h4/thm/intExtension/INT_LT_ADD_NEG_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_lt_mono_l' 'h4/thm/arithmetic/ADD_MONO_LESS_EQ_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_le_iff' 'h4/thm/arithmetic/MAX_LT_0'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_succ_le_pred' 'h4/thm/bit/TWOEXP_LE_IMP_LE_LOG2_0'#@#variant
0. 'coq/Coq_Reals_RIneq_Rplus_lt_0_compat' 'h4/thm/realax/REAL_LT_MUL_'
0. 'coq/Coq_PArith_BinPos_Pos_le_lteq' 'h4/thm/integer/INT_LE_LT_'
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_nonneg' 'h4/thm/divides/ZERO_LT_PRIMES_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_lt' 'h4/thm/int_arith/INT_NUM_DIVIDES_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_lt_mono_l' 'h4/thm/arithmetic/ADD_MONO_LESS_EQ_'
0. 'coq/Coq_NArith_BinNat_N_add_le_mono_r' 'h4/thm/real/REAL_LE_SUB_CANCEL2_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_neq' 'h4/thm/extreal/lt_imp_ne_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_gt_cases' 'h4/thm/real/REAL_LET_TOTAL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_nle_gt' 'h4/thm/rat/RAT_LEQ_LES_'
0. 'coq/Coq_ZArith_BinInt_Z_gcd_0_l' 'h4/thm/integer/INT_SUB_REDUCE_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_le_mono_nonneg_r'#@#variant 'h4/thm/real/REAL_LE_RMUL_IMP_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_lt_nle' 'h4/thm/HolSmt/r096_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_clearbit_spec_prime'#@#variant 'h4/thm/frac/frac_div_def_'
0. 'coq/Coq_NArith_BinNat_N_gt_lt_iff' 'h4/thm/string/string_gt_def_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_divide' 'h4/thm/real/REAL_OF_NUM_LE_'
0. 'coq/Coq_ZArith_BinInt_Zpos_eq_iff' 'h4/thm/string/ORD_11_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div_le_mono'#@#variant 'h4/thm/integral/REAL_LE_RMUL1_'#@#variant
0. 'coq/Coq_Reals_Rtrigo_calc_sqrt2_neq_0'#@#variant 'h4/thm/prelim/ordering_distinct_1'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_le_mono' 'h4/thm/numeral/numeral_distrib_22'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lnot_0_l' 'h4/thm/numeral/numeral_texp_help_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_le_lt_mono' 'h4/thm/integer/INT_LET_ADD2_'
0. 'coq/Coq_ZArith_Zcomplements_Zlength_nil' 'h4/thm/list/LENGTH_0'
0. 'coq/Coq_QArith_Qcanon_Qcmult_inv_r'#@#variant 'h4/thm/real/REAL_MUL_RINV_'#@#variant
0. 'coq/Coq_ZArith_Znat_Z2Nat_inj_pred' 'h4/thm/toto/num_dt_size_def_e2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_lt_trans' 'h4/thm/rat/RAT_LEQ_LES_TRANS_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_eq_cases' 'h4/thm/arithmetic/LESS_OR_EQ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_succ_l' 'h4/thm/arithmetic/MULT_CLAUSES_4'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_of_Qc' 'h4/thm/ieee/Exponent_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_nonneg_nonneg' 'h4/thm/integer/INT_LT_MUL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_compare_xI_xI' 'h4/thm/toto/num_dtOrd_7'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_1' 'h4/thm/rat/RAT_AINV_0_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_antisymm' 'h4/thm/rat/RAT_LEQ_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_eq_0' 'h4/thm/real/REAL_ENTIRE_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_eq_mul_0' 'h4/thm/extreal/entire_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_add_le' 'h4/thm/real/ABS_TRIANGLE_'
0. 'coq/Coq_Reals_Rsqrt_def_Rsqrt_positivity'#@#variant 'h4/thm/integer/INT_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_inj_wd' 'h4/thm/integer/INT_EQ_CALCULATE_1'
0. 'coq/Coq_ZArith_BinInt_Z_add_lt_mono_l' 'h4/thm/arithmetic/ADD_MONO_LESS_EQ_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_ge_le_iff' 'h4/thm/integer/int_ge_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_ldiff_ldiff_l' 'h4/thm/arithmetic/SUB_PLUS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_alt_dichotomy' 'h4/thm/integer/INT_LE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_pos'#@#variant 'h4/thm/transc/EXP_LT_1_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_pow_pos_nonneg'#@#variant 'h4/thm/extreal/let_mul_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_opp' 'h4/thm/toto/num_dt_size_def_1'#@#variant
0. 'coq/Coq_Arith_Factorial_fact_neq_0' 'h4/thm/num/NOT_SUC_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_irrefl' 'h4/thm/prim_rec/LESS_REFL_'
0. 'coq/Coq_Reals_Ratan_pow2_ge_0'#@#variant 'h4/thm/real/REAL_LE_POW2_'#@#variant
0. 'coq/Coq_ZArith_Znumtheory_Zdivide_Zgcd' 'h4/thm/divides/DIVIDES_SUB_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lor_diag' 'h4/thm/gcd/GCD_REF_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_le_mono_l' 'h4/thm/hreal/HRAT_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_lt_mono_l' 'h4/thm/realax/HREAL_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_le_iff' 'h4/thm/arithmetic/MIN_LT_0'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_iff' 'h4/thm/integer/INT_EQ_CALCULATE_0'
0. 'coq/Coq_ZArith_BinInt_Z_lt_nge' 'h4/thm/integer/INT_NOT_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_opp_r' 'h4/thm/integer/INT_SUB_CALCULATE_'
0. 'coq/Coq_ZArith_BinInt_Z_pow_0_r'#@#variant 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRL'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_le_iff' 'h4/thm/real/REAL_MIN_LE_'
0. 'coq/Coq_Reals_RIneq_Rlt_irrefl' 'h4/thm/integer/TINT_LT_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_cancel_l' 'h4/thm/arithmetic/EQ_ADD_LCANCEL_'
0. 'coq/Coq_ZArith_Znat_Zabs2N_inj_neg' 'h4/thm/rat/rat_sgn_def_'
0. 'coq/Coq_PArith_BinPos_Pos_lt_eq_cases' 'h4/thm/integer/INT_LE_LT_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pred_succ' 'h4/thm/numpair/invtri_lower_'
0. 'coq/Coq_ZArith_BinInt_Z_succ_pred' 'h4/thm/numRing/num_rewrites_tLLRRRR'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mod_0_l' 'h4/thm/integer/INT_DIV_0_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rmult_gt_reg_l'#@#variant 'h4/thm/float/REAL_LT_LCANCEL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftr_div_pow2'#@#variant 'h4/thm/real/real_sub_'
0. 'coq/Coq_ZArith_BinInt_Z_clearbit_spec_prime'#@#variant 'h4/thm/rat/RAT_SUB_ADDAINV_'
0. 'coq/Coq_Reals_RIneq_Rlt_le' 'h4/thm/integer/INT_LT_IMP_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_nle_gt' 'h4/thm/extreal/extreal_lt_def_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lor_eq_0_l' 'h4/thm/transc/RPOW_NZ_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_l' 'h4/thm/arithmetic/LESS_MOD_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_le_mono' 'h4/thm/transc/EXP_MONO_IMP_'
0. 'coq/Coq_MSets_MSetPositive_PositiveSet_union_spec' 'h4/thm/int_bitwise/int_bit_or_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_eq_cases' 'h4/thm/extreal/le_lt_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_even_1' 'h4/thm/ieee/Minus_infinity_'#@#variant
0. 'coq/Coq_Reals_Rfunctions_pow_O' 'h4/thm/real/pow_rat_0'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_stepr' 'h4/thm/integer/INT_LTE_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_quot_pos'#@#variant 'h4/thm/arithmetic/ONE_LT_MULT_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_le_mono' 'h4/thm/bit/TWOEXP_MONO_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_add_diag_r' 'h4/thm/gcd/GCD_ADD_R_THM_e1'
0. 'coq/Coq_PArith_BinPos_Pos_pred_succ' 'h4/thm/transc/ATN_TAN_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_lt_mono' 'h4/thm/numeral/numeral_distrib_28'
0. 'coq/Coq_ZArith_BinInt_Z_div_1_r' 'h4/thm/HolSmt/r223_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_succ_r_prime' 'h4/thm/arithmetic/EXP_e1'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_lt_mono_r' 'h4/thm/integer/INT_LE_RADD_'
0. 'coq/Coq_ZArith_Zpower_two_power_nat_S'#@#variant 'h4/thm/extreal/extreal_exp_def_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_mul_r' 'h4/thm/arithmetic/EXP_EXP_MULT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_irrefl' 'h4/thm/realax/HREAL_LT_REFL_'
0. 'coq/Coq_PArith_BinPos_Pos_gt_lt_iff' 'h4/thm/integer/int_ge_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_opp_l' 'h4/thm/complex/COMPLEX_NEG_LDIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_sub_le_add_r' 'h4/thm/real/REAL_LE_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_simpl_r' 'h4/thm/real/REAL_SUB_ADD_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_sqrt' 'h4/thm/extreal/extreal_sqrt_def_0'
0. 'coq/Coq_ZArith_BinInt_Z_negb_even' 'h4/thm/integerRing/int_ring_thms_e17'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lxor_eq_0_iff' 'h4/thm/rat/RAT_EQ_0SUB_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_refl' 'h4/thm/integer/TINT_EQ_REFL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_quot_1_r' 'h4/thm/extreal/sub_rzero_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_lt_mono' 'h4/thm/real/REAL_LT_NEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_null'#@#variant 'h4/thm/intExtension/INT_SGN_CLAUSES_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_id' 'h4/thm/arithmetic/MAX_IDEM_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_involutive' 'h4/thm/integer/INT_NEGNEG_'
0. 'coq/Coq_ZArith_Zorder_Zplus_gt_compat_l' 'h4/thm/real/REAL_LT_IADD_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_le' 'h4/thm/int_arith/INT_NUM_DIVIDES_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_1' 'h4/thm/real/ABS_0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_1_r' 'h4/thm/rat/RAT_SUB_RID_'
0. 'coq/Coq_NArith_BinNat_N_pow_1_r' 'h4/thm/extreal/sub_rzero_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_compare_succ' 'h4/thm/toto/qk_numeralOrd_6'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_eq_le_incl' 'h4/thm/HolSmt/t007_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_greatest' 'h4/thm/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_pow2'#@#variant 'h4/thm/transc/LN_LE_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_lt_mono_pos_r'#@#variant 'h4/thm/intExtension/INT_GT_RMUL_EXP_'#@#variant
0. 'coq/Coq_ZArith_Zquot_Zrem_opp_l' 'h4/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_QArith_Qcanon_Qcle_refl' 'h4/thm/integer/INT_LE_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_cancel_r' 'h4/thm/complex/COMPLEX_EQ_RADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_1_r'#@#variant 'h4/thm/arithmetic/DIV2_def_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_cancel_l' 'h4/thm/hreal/HRAT_EQ_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_succ_l' 'h4/thm/extreal/mul_lneg_'
0. 'coq/Coq_NArith_BinNat_N_lt_add_lt_sub_r' 'h4/thm/integer/INT_LT_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_nle' 'h4/thm/real/real_lt_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div_same'#@#variant 'h4/thm/integer/INT_DIV_ID_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_tan_neg' 'h4/thm/DeepSyntax/neginf_def_2'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_id' 'h4/thm/extreal/max_refl_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_eq_mul_0' 'h4/thm/arithmetic/MULT_EQ_0_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_pos_pos' 'h4/thm/realax/REAL_LT_MUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_lcm_l' 'h4/thm/extreal/le_max1_'
0. 'coq/Coq_ZArith_BinInt_Z_add_le_mono_l' 'h4/thm/hreal/HRAT_LT_LADD_'
0. 'coq/Coq_ZArith_Zorder_Zgt_asym' 'h4/thm/realax/HREAL_LT_GT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_wf_0' 'h4/thm/nets/DORDER_NGE_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_irrefl' 'h4/thm/realax/TREAL_LT_REFL_'#@#variant
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_IsTO_lt_total' 'h4/thm/string/string_lt_cases_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_le_mono_r' 'h4/thm/arithmetic/LESS_EQ_MONO_ADD_EQ_'
0. 'coq/Coq_ZArith_Zlogarithm_log_sup_correct1'#@#variant 'h4/thm/extreal/lt_infty_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_id' 'h4/thm/extreal/min_refl_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_1' 'h4/thm/integerRing/int_rewrites_tRRRRRRRRRRRRRL'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_pow' 'h4/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_pos_le' 'h4/thm/divides/DIVIDES_LE_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_cancel_l' 'h4/thm/realax/HREAL_EQ_LADD_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_succ_m1'#@#variant 'h4/thm/real/REAL_HALF_BETWEEN_tRL'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_divide_xO_xO' 'h4/thm/numeral/numeral_lte_3'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_nge' 'h4/thm/integer/INT_NOT_LE_'
0. 'coq/Coq_Reals_RIneq_Rmult_eq_reg_r' 'h4/thm/integer/INT_EQ_RMUL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_1_l' 'h4/thm/HolSmt/r233_'
0. 'coq/Coq_Numbers_Cyclic_DoubleCyclic_DoubleBase_lt_0_wB' 'h4/thm/extreal/lt_infty_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_le_compat_r' 'h4/thm/hrat/TRAT_ADD_WELLDEFINED_'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qcnot_lt_le' 'h4/thm/real/REAL_LTE_TOTAL_'
0. 'coq/Coq_Reals_Rminmax_R_min_glb' 'h4/thm/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_1_mul_pos'#@#variant 'h4/thm/extreal/lte_add_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_le_max_l' 'h4/thm/real/REAL_LE_MAX1_'
0. 'coq/Coq_ZArith_BinInt_Z_sgn_opp' 'h4/thm/complex/COMPLEX_INV_NEG_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rgt_not_eq' 'h4/thm/extreal/lt_imp_ne_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_of_Q' 'h4/thm/binary_ieee/num2float_compare_float_compare2num_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_lt_mono_r' 'h4/thm/integer/INT_LE_RADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_le_mono_r' 'h4/thm/arithmetic/LE_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_ngt' 'h4/thm/HolSmt/r096_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_lt_mono' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div2_succ_double' 'h4/thm/string/IMPLODE_EXPLODE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_sgn' 'h4/thm/integer/INT_ABS_ABS_'
0. 'coq/Coq_Reals_RIneq_cond_nonneg'#@#variant 'h4/thm/binary_ieee/zero_le_twopow_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_asymm' 'h4/thm/hreal/HRAT_LT_GT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_add_le' 'h4/thm/real/ABS_TRIANGLE_'
0. 'coq/Coq_ZArith_Znat_Z2Nat_inj_lt'#@#variant 'h4/thm/float/FLOAT_LE_'
0. 'coq/Coq_ZArith_BinInt_Z_shiftr_opp_r' 'h4/thm/HolSmt/r224_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sub_diag' 'h4/thm/rat/RAT_SUB_ID_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_inj_wd' 'h4/thm/numeral/numeral_eq_6'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_double_inj' 'h4/thm/num/INV_SUC_'
0. 'coq/Coq_ZArith_Zcomplements_floor_gt0' 'h4/thm/extreal/lt_infty_1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_lt_mono_r' 'h4/thm/arithmetic/LE_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_Odd_succ' 'h4/thm/numeral/numeral_distrib_21'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_nonneg_nonneg' 'h4/thm/integer/INT_LT_MUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_quot_le_mono'#@#variant 'h4/thm/extreal/le_rmul_imp_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_eq_cases' 'h4/thm/integer/INT_LE_CALCULATE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_opp_diag_l' 'h4/thm/rat/RAT_ADD_LINV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_opp_l' 'h4/thm/arithmetic/PRE_SUB_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_ge_cases' 'h4/thm/real/REAL_LTE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_succ_le_mono' 'h4/thm/numeral/numeral_lt_4'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_refl' 'h4/thm/real/REAL_LE_REFL_'
0. 'coq/Coq_Numbers_Cyclic_DoubleCyclic_DoubleSqrt_Zplus_mod_one'#@#variant 'h4/thm/arithmetic/ADD_MODULUS_0'#@#variant
0. 'coq/Coq_Reals_ROrderedType_ROrder_not_gt_le' 'h4/thm/real/REAL_LET_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_div2_double'#@#variant 'h4/thm/transc/LN_EXP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_1_l'#@#variant 'h4/thm/divides/ONE_DIVIDES_ALL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_le_mono_l' 'h4/thm/integer/INT_LE_LADD_'
0. 'coq/Coq_ZArith_Zpower_two_power_pos_nat' 'h4/thm/realax/hreal_of_real_'#@#variant
0. 'coq/Coq_Reals_ROrderedType_ROrder_not_ge_lt' 'h4/thm/integer/INT_LET_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lxor_nilpotent' 'h4/thm/arithmetic/ABS_DIFF_EQS_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_pos'#@#variant 'h4/thm/transc/LN_POS_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_eq_cases' 'h4/thm/string/string_le_def_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_neg_iff' 'h4/thm/binary_ieee/float_compare_EQ_float_compare_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_pred' 'h4/thm/transc/ATN_e2'
0. 'coq/Coq_Reals_Raxioms_R1_neq_R0' 'h4/thm/toto/cpn_distinct_0'
0. 'coq/Coq_ZArith_BinInt_Z_le_add_le_sub_r' 'h4/thm/real/REAL_LT_ADD_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_clearbit_spec_prime'#@#variant 'h4/thm/HolSmt/r131_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_nonneg' 'h4/thm/divides/ZERO_LT_PRIMES_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lcm_divide_iff' 'h4/thm/extreal/max_le_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_opp' 'h4/thm/numeral/numeral_add_12'#@#variant
0. 'coq/Coq_Arith_Plus_plus_le_compat_r' 'h4/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_divide_iff' 'h4/thm/integral/REAL_LT_MIN_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_0_succ' 'h4/thm/prim_rec/LESS_0_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_le_compat_r' 'h4/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_lt_le_mono' 'h4/thm/integer/INT_LTE_ADD2_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_pos_nonneg'#@#variant 'h4/thm/arithmetic/ONE_LT_MULT_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_eq_cases' 'h4/thm/rat/rat_leq_def_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_neq' 'h4/thm/real/REAL_LT_IMP_NE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftr_div_pow2'#@#variant 'h4/thm/HolSmt/r224_'#@#variant
0. 'coq/Coq_Reals_Raxioms_R1_neq_R0' 'h4/thm/ieee/ccode_distinct_2'
0. 'coq/Coq_NArith_BinNat_N_sub_succ' 'h4/thm/complex/COMPLEX_NEG_DIV2_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_mul_r' 'h4/thm/arithmetic/SUB_RIGHT_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_sub_assoc' 'h4/thm/arithmetic/LESS_EQ_ADD_SUB_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_ngt' 'h4/thm/arithmetic/NOT_LESS_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Ring31_Int31ring_add_comm'#@#variant 'h4/thm/hrat/TRAT_MUL_SYM_'#@#variant
0. 'coq/Coq_QArith_Qcanon_Q_apart_0_1'#@#variant 'h4/thm/ieee/ccode_distinct_3'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_1_r'#@#variant 'h4/thm/arithmetic/PRE_SUB1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_lt_mono_l' 'h4/thm/hreal/HRAT_LT_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftl_1_l'#@#variant 'h4/thm/HolSmt/r221_'#@#variant
0. 'coq/Coq_Arith_Gt_gt_n_S' 'h4/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Zlt_Qlt' 'h4/thm/integer/INT_LE_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_compare_xO_xO' 'h4/thm/toto/numeralOrd_5'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_succ_lt_mono' 'h4/thm/arithmetic/LESS_EQ_MONO_'
0. 'coq/Coq_Reals_Rtrigo_def_sin_no_R0' 'h4/thm/extreal/extreal_distinct_1'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_Zlnot_alt1'#@#variant 'h4/thm/numeral_bit/iLOG2_def_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_1_l' 'h4/thm/HolSmt/r128_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lnot_0_l' 'h4/thm/numeral/numeral_texp_help_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_le_mono_pos_r'#@#variant 'h4/thm/intExtension/INT_GT_RMUL_EXP_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_ngt' 'h4/thm/HolSmt/r096_'
0. 'coq/Coq_ZArith_BinInt_Z_quot_pos'#@#variant 'h4/thm/extreal/let_mul_'#@#variant
0. 'coq/Coq_Arith_Plus_plus_lt_compat_l' 'h4/thm/real/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_add_r' 'h4/thm/real/REAL_LE_MAX1_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pred_div2_up' 'h4/thm/extreal/extreal_ainv_def_e2'
0. 'coq/Coq_PArith_BinPos_Pos_max_le_compat_r' 'h4/thm/integer/TINT_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_l' 'h4/thm/arithmetic/LESS_MOD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_opp_r' 'h4/thm/complex/COMPLEX_SUB_RNEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_lt_mono' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_pos_pos' 'h4/thm/integer/TINT_LT_MUL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_pred_le_mono' 'h4/thm/numeral/numeral_lt_4'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pred_sub'#@#variant 'h4/thm/arithmetic/ADD1_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_sub'#@#variant 'h4/thm/DeepSyntax/deep_form_size_def_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_0_discr' 'h4/thm/toto/num_dt_distinct_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_eq_mul_0' 'h4/thm/arithmetic/MULT_EQ_0_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sub_diag' 'h4/thm/arithmetic/ABS_DIFF_EQS_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_iff' 'h4/thm/rat/RAT_EQ_NUM_CALCULATE_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_pred_l' 'h4/thm/arithmetic/ADD_e1'
0. 'coq/Coq_ZArith_Znat_Z2Nat_inj_pos' 'h4/thm/ieee/Exponent_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_sub_lt_add_r' 'h4/thm/extreal/lt_sub_imp_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div_le_mono'#@#variant 'h4/thm/real/REAL_LE_RMUL_IMP_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_le_mono' 'h4/thm/numeral/numeral_lt_4'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_add_lt_sub_r' 'h4/thm/arithmetic/SUB_LEFT_LESS_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_lub_lt_iff' 'h4/thm/arithmetic/MAX_LT_e1'
0. 'coq/Coq_QArith_Qcanon_Qcmult_integral_l'#@#variant 'h4/thm/intExtension/INT_NOT0_MUL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_succ_inj_wd' 'h4/thm/toto/num_dt_11_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_opp_r' 'h4/thm/real/REAL_SUB_RNEG_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_cancel_r' 'h4/thm/integer/INT_EQ_RADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_1_mul_pos'#@#variant 'h4/thm/util_prob/REAL_LE_LT_MUL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_div2_div'#@#variant 'h4/thm/arithmetic/DIV2_def_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pow_lt_mono_r_iff'#@#variant 'h4/thm/transc/RPOW_LE_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_le_compat_r' 'h4/thm/integer/TINT_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_pred' 'h4/thm/numRing/num_rewrites_tLLRRRRRR'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_square' 'h4/thm/complex/COMPLEX_OF_REAL_NEG_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_succ_inj_wd' 'h4/thm/numpair/tri_11_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_lt_mono_r' 'h4/thm/real/REAL_LE_SUB_CANCEL2_'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_iff' 'h4/thm/real/REAL_INJ_'
0. 'coq/__constr_Coq_Lists_SetoidList_NoDupA_0_1' 'h4/thm/sorting/SORTED_NIL_'
0. 'coq/Coq_QArith_Qround_Qfloor_Z' 'h4/thm/binary_ieee/num2rounding_rounding2num_'
0. 'coq/Coq_PArith_BinPos_Pos_max_id' 'h4/thm/arithmetic/MIN_IDEM_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_ldiff_ldiff_l' 'h4/thm/arithmetic/SUB_RIGHT_SUB_'
0. 'coq/Coq_PArith_BinPos_Pos_add_succ_r' 'h4/thm/arithmetic/ADD_CLAUSES_e3'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_sub' 'h4/thm/real/REAL_SUB_ADD_'
0. 'coq/Coq_Reals_Rbasic_fun_RRle_abs' 'h4/thm/numpair/tri_le_'
0. 'coq/Coq_Arith_Even_even_mult_aux/0' 'h4/thm/arithmetic/ODD_MULT_'
0. 'coq/Coq_NArith_BinNat_N_shiftl_1_l'#@#variant 'h4/thm/numeral/numeral_texp_help_0'
0. 'coq/Coq_ZArith_BinInt_Z_min_glb' 'h4/thm/divides/DIVIDES_ADD_1_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_1' 'h4/thm/real/REAL_NEG_0_'
0. 'coq/Coq_Reals_Rtrigo1_tan_neg' 'h4/thm/DeepSyntax/posinf_def_2'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_nonneg'#@#variant 'h4/thm/real/REAL_LT_MUL2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_opp_diag_r' 'h4/thm/hreal/HRAT_MUL_RINV_'
0. 'coq/Coq_QArith_Qcanon_Q_apart_0_1'#@#variant 'h4/thm/real/REAL_10_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_lt_cancel' 'h4/thm/arithmetic/LESS_MONO_REV_'
0. 'coq/Coq_NArith_BinNat_N_setbit_spec_prime'#@#variant 'h4/thm/complex/COMPLEX_SUB_RNEG_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_pos_nonneg'#@#variant 'h4/thm/extreal/lte_add_'#@#variant
0. 'coq/Coq_Arith_Div2_div2_double'#@#variant 'h4/thm/numeral/numeral_add_0'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_succ_r' 'h4/thm/real/REAL_NEG_RMUL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_eq_mul_0' 'h4/thm/intExtension/INT_NO_ZERODIV_'#@#variant
0. 'coq/Coq_QArith_Qpower_Qpower_pos_positive'#@#variant 'h4/thm/extreal/pow_pos_lt_'#@#variant
0. 'coq/Coq_QArith_Qminmax_Q_min_le_compat_r' 'h4/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1__PI2_RLT_0'#@#variant 'h4/thm/extreal/half_between_tRL'#@#variant
0. 'coq/Coq_Lists_List_map_length' 'h4/thm/llist/LLENGTH_MAP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pred_succ' 'h4/thm/numeral/numeral_add_0'#@#variant
0. 'coq/Coq_Reals_RIneq_Rplus_ge_compat_l' 'h4/thm/extreal/le_ladd_imp_'
0. 'coq/Coq_NArith_BinNat_N_pow_1_r' 'h4/thm/integer/INT_ADD_RID_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_succ_l' 'h4/thm/extreal/mul_lneg_'
0. 'coq/Coq_ZArith_Zdiv_Zdiv_opp_opp' 'h4/thm/real/REAL_NEG_MUL2_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_ge_le_iff' 'h4/thm/string/string_gt_def_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lcm_divide_iff' 'h4/thm/extreal/max_le_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_le_mono_pos_l'#@#variant 'h4/thm/arithmetic/EXP_BASE_LE_MONO_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_refl' 'h4/thm/extreal/le_refl_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_eq_le_incl' 'h4/thm/real/REAL_LT_IMP_LE_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_lt_mono_l' 'h4/thm/integer/LT_LADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pow_le_mono_l' 'h4/thm/hrat/TRAT_ADD_WELLDEFINED_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_trichotomy' 'h4/thm/hreal/HREAL_LT_TOTAL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_1' 'h4/thm/transc/SQRT_0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_double_mul' 'h4/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_le_compat_l' 'h4/thm/real/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_divide_iff' 'h4/thm/integral/REAL_LT_MIN_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_gt_cases' 'h4/thm/integer/INT_LTE_TOTAL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_min_le_compat_l' 'h4/thm/integer/INT_LT_LADD_IMP_'
0. 'coq/Coq_Reals_R_Ifp_Int_part_INR' 'h4/thm/hrat/hrat_sucint_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div2_double' 'h4/thm/transc/ATN_e2'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftr_div_pow2'#@#variant 'h4/thm/rat/RAT_SUB_ADDAINV_'
0. 'coq/Coq_NArith_BinNat_N_negb_odd' 'h4/thm/integerRing/int_ring_thms_e17'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_lteq' 'h4/thm/arithmetic/LESS_OR_EQ_'
0. 'coq/Coq_PArith_BinPos_Pos_lt_eq_cases' 'h4/thm/integer/INT_LE_CALCULATE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_lub_iff' 'h4/thm/arithmetic/MAX_LE_e1'
0. 'coq/Coq_QArith_Qround_Qceiling_Z' 'h4/thm/prelim/ordering_BIJ_0'
0. 'coq/Coq_Reals_Rminmax_R_max_le_compat_l' 'h4/thm/real/REAL_LT_IADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_1' 'h4/thm/intExtension/INT_ABS_CALCULATE_0_'
0. 'coq/Coq_QArith_Qround_Qceiling_Z' 'h4/thm/ieee/num2roundmode_roundmode2num_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftr_div_pow2'#@#variant 'h4/thm/frac/frac_sub_def_'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_iff' 'h4/thm/ieee/roundmode_EQ_roundmode_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div2_div'#@#variant 'h4/thm/arithmetic/PRE_SUB1_'#@#variant
0. 'coq/Coq_Reals_Ratan_Ratan_seq_opp' 'h4/thm/complex/COMPLEX_POW_INV_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_add_le_mono_r' 'h4/thm/arithmetic/LT_ADD_RCANCEL_'
0. 'coq/Coq_Reals_Rminmax_R_min_r' 'h4/thm/real/REAL_MIN_ALT_e1'
0. 'coq/Coq_Reals_Rpower_exp_increasing' 'h4/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_pos'#@#variant 'h4/thm/transc/LN_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_le_mono_r' 'h4/thm/arithmetic/LESS_EQ_MONO_ADD_EQ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_asymm' 'h4/thm/hreal/HRAT_LT_GT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sub_le_mono_r' 'h4/thm/extreal/le_radd_imp_'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_eqk_trans'#@#variant 'h4/thm/rich_list/IS_PREFIX_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_le_mono' 'h4/thm/arithmetic/LESS_MONO_EQ_'
0. 'coq/Coq_Reals_Rminmax_R_max_le_compat_r' 'h4/thm/arithmetic/LESS_MONO_MULT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_cancel_r' 'h4/thm/rat/RAT_EQ_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_neq_pred_l' 'h4/thm/prim_rec/SUC_ID_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_lt_mono_r' 'h4/thm/hreal/HRAT_LT_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_setbit_spec_prime'#@#variant 'h4/thm/real/real_sub_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_rem_opp_l_prime' 'h4/thm/extreal/mul_lneg_'
0. 'coq/Coq_NArith_BinNat_N_lt_le_incl' 'h4/thm/real/REAL_LT_IMP_LE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_0_discr' 'h4/thm/transc/EXP_NZ_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lt_sub_lt_add_l' 'h4/thm/arithmetic/SUB_RIGHT_GREATER_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_1_r' 'h4/thm/integer/INT_ADD_REDUCE_1'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_succ_r' 'h4/thm/arithmetic/MULT_SUC_'
0. 'coq/Coq_ZArith_Zorder_not_Zeq' 'h4/thm/extreal/lt_total_'
0. 'coq/Coq_Arith_Compare_dec_not_eq' 'h4/thm/hreal/HREAL_LT_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_nonneg_nonneg' 'h4/thm/integer/INT_LT_MUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_succ_inj_wd' 'h4/thm/string/EXPLODE_11_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_pos_l'#@#variant 'h4/thm/logroot/LE_EXP_ISO_'#@#variant
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_le_neq' 'h4/thm/string/string_lt_cases_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_add_diag_r' 'h4/thm/hreal/HRAT_LT_ADDL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_clearbit_spec_prime'#@#variant 'h4/thm/frac/frac_div_def_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_double'#@#variant 'h4/thm/util_prob/lg_inv_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sub_le_mono_r' 'h4/thm/extreal/le_radd_imp_'
0. 'coq/Coq_Arith_Le_le_n_S' 'h4/thm/numpair/tri_LT_I_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ldiff_land' 'h4/thm/real/REAL_SUB_RNEG_'
0. 'coq/Coq_NArith_Ndigits_Nless_def_2' 'h4/thm/toto/qk_numeralOrd_5'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_neg_iff' 'h4/thm/integer/INT_DIV_CALCULATE_2'
0. 'coq/Coq_ZArith_BinInt_Z_add_opp_diag_l' 'h4/thm/hreal/HREAL_MUL_LINV_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_eq_mul_1'#@#variant 'h4/thm/arithmetic/ADD_EQ_0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_ge_le_iff' 'h4/thm/integer/int_ge_'
0. 'coq/Coq_NArith_Ndigits_Nless_def_1' 'h4/thm/toto/qk_numeralOrd_5'
0. 'coq/Coq_Reals_Rtrigo1_PI_neq0' 'h4/thm/ieee/roundmode_distinct_1'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_pos'#@#variant 'h4/thm/real/REAL_LE_INV_EQ_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mod_small' 'h4/thm/real/REAL_MIN_ALT_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ldiff_diag' 'h4/thm/arithmetic/SUB_EQUAL_0_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_ge_cases' 'h4/thm/integer/INT_LTE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_gt_cases' 'h4/thm/real/REAL_LET_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_sub_l' 'h4/thm/real/REAL_MIN_LE1_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_of_Q' 'h4/thm/integer/NUM_OF_INT_'
0. 'coq/Coq_Init_Peano_le_S_n' 'h4/thm/arithmetic/LESS_MONO_REV_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_odd' 'h4/thm/realax/real_of_hreal_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_gt_cases' 'h4/thm/integer/INT_LTE_TOTAL_'
0. 'coq/Coq_PArith_BinPos_Pos_add_le_mono_l' 'h4/thm/real/REAL_LT_LADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_le_mono_r' 'h4/thm/arithmetic/LE_ADD_RCANCEL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_null'#@#variant 'h4/thm/intExtension/INT_SGN_CLAUSES_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_double_spec'#@#variant 'h4/thm/arithmetic/SUC_ONE_ADD_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_rem_1_r'#@#variant 'h4/thm/integer/INT_MOD_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mod_0_l' 'h4/thm/integer/INT_MOD0_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_setbit_spec_prime'#@#variant 'h4/thm/real/real_div_'
0. 'coq/Coq_ZArith_BinInt_Z_quot_0_l' 'h4/thm/integer/INT_QUOT_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_glb_iff' 'h4/thm/arithmetic/MIN_LT_e1'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_iff' 'h4/thm/binary_ieee/float_compare2num_11_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_pow2'#@#variant 'h4/thm/transc/LN_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_lt_trans' 'h4/thm/rat/RAT_LEQ_LES_TRANS_'
0. 'coq/Coq_ZArith_BinInt_Z_lnot_involutive' 'h4/thm/extreal/neg_neg_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_le_mono_l' 'h4/thm/hreal/HRAT_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_le_mono_l' 'h4/thm/integer/TINT_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_inj_wd' 'h4/thm/numeral/numeral_distrib_19'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_diag' 'h4/thm/extreal/min_refl_'
0. 'coq/Coq_ZArith_BinInt_Z_add_lt_le_mono' 'h4/thm/integer/INT_LTE_ADD2_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_cancel_r' 'h4/thm/integer/INT_EQ_RADD_'
0. 'coq/Coq_Arith_Gt_gt_irrefl' 'h4/thm/hreal/HRAT_LT_REFL_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_succ' 'h4/thm/complex/COMPLEX_OF_REAL_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mod_mul' 'h4/thm/integer/INT_MOD_COMMON_FACTOR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_inj_wd' 'h4/thm/integer/INT_EQ_CALCULATE_1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_pos'#@#variant 'h4/thm/numeral/numeral_distrib_33'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_lt' 'h4/thm/extreal/extreal_lt_eq_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_sqrt' 'h4/thm/toto/num_dt_size_def_e2'#@#variant
0. 'coq/Coq_Bool_Bool_diff_true_false' 'h4/thm/binary_ieee/rounding_distinct_1'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mod_1_l'#@#variant 'h4/thm/arithmetic/ZERO_DIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_add_r' 'h4/thm/transc/RPOW_ADD_'
0. 'coq/Coq_ZArith_BinInt_Z_add_lt_mono_r' 'h4/thm/hreal/HRAT_LT_RMUL_'
0. 'coq/Coq_Arith_Lt_lt_not_le' 'h4/thm/integer/INT_LET_ANTISYM_'
0. 'coq/Coq_Reals_Rpower_ln_exp' 'h4/thm/transc/LN_EXP_'
0. 'coq/Coq_ZArith_BinInt_Z_succ_inj_wd' 'h4/thm/numeral/numeral_eq_e7'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_max_r' 'h4/thm/extreal/le_max2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_1_r'#@#variant 'h4/thm/arithmetic/DIV2_def_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mod_0_l' 'h4/thm/integer/INT_MOD0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_succ_l' 'h4/thm/arithmetic/PRE_SUB_'
0. 'coq/Coq_Reals_Rpower_exp_le_3'#@#variant 'h4/thm/real/REAL_THIRDS_BETWEEN_tLRL'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_neq' 'h4/thm/integral/LT_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_nle_gt' 'h4/thm/integer/int_le_'
0. 'coq/Coq_Reals_Rtrigo1_PI_neq0' 'h4/thm/binary_ieee/float_compare_distinct_4'
0. 'coq/Coq_ZArith_Znat_N_nat_Z' 'h4/thm/rat/rat_sgn_def_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_min_r' 'h4/thm/extreal/min_le2_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_pos'#@#variant 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_NArith_Nnat_N2Nat_id' 'h4/thm/ieee/float_tybij_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div2_succ_double' 'h4/thm/numeral_bit/NUMERAL_iDIV2_2'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_double'#@#variant 'h4/thm/extreal/extreal_ainv_def_e2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_nonneg' 'h4/thm/prim_rec/LESS_0_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_sub_diag' 'h4/thm/integer/INT_SUB_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_opp' 'h4/thm/transc/SIN_NEG_'
0. 'coq/Coq_Reals_RIneq_Rge_or_gt' 'h4/thm/integer/INT_LET_TOTAL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lcm_1_r' 'h4/thm/HolSmt/r127_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_succ_inj_wd' 'h4/thm/arithmetic/LESS_MONO_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_eq_cases' 'h4/thm/extreal/le_lt_'
0. 'coq/Coq_Reals_R_sqr_Rsqr_neg' 'h4/thm/transc/COS_NEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_1' 'h4/thm/intExtension/INT_ABS_CALCULATE_0_'
0. 'coq/Coq_Reals_Rbasic_fun_Rle_max_compat_r' 'h4/thm/arithmetic/LESS_MONO_MULT_'
0. 'coq/Coq_NArith_BinNat_N_gcd_diag' 'h4/thm/real/REAL_MAX_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_succ_r' 'h4/thm/complex/COMPLEX_NEG_RMUL_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sqrt_1' 'h4/thm/transc/SQRT_0_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_nonneg_l'#@#variant 'h4/thm/arithmetic/EXP_BASE_LEQ_MONO_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sub_add_distr' 'h4/thm/arithmetic/SUB_RIGHT_SUB_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_succ_diag_r' 'h4/thm/prim_rec/LESS_SUC_SUC_0'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_lt_iff' 'h4/thm/extreal/le_max_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_le_mono' 'h4/thm/transc/EXP_MONO_IMP_'
0. 'coq/Coq_Arith_PeanoNat_Nat_succ_inj_wd' 'h4/thm/prim_rec/INV_SUC_EQ_'
0. 'coq/Coq_NArith_BinNat_N_divide_lcm_l' 'h4/thm/real/REAL_LE_MAX1_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_le_mono_r' 'h4/thm/arithmetic/LESS_EQ_MONO_ADD_EQ_'
0. 'coq/Coq_Arith_Le_le_n_S' 'h4/thm/prim_rec/LESS_MONO_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_cancel_r' 'h4/thm/integer/INT_EQ_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_lub_lt_iff' 'h4/thm/extreal/max_le_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_quot_1_r' 'h4/thm/integer/INT_SUB_REDUCE_0'
0. 'coq/Coq_Reals_Rtrigo1_PI_neq0' 'h4/thm/binary_ieee/rounding_distinct_3'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_lt_mono_l' 'h4/thm/integer/LT_LADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_compare_lt_iff' 'h4/thm/quote/index_lt_def_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_le_mono_l' 'h4/thm/hrat/TRAT_ADD_WELLDEFINED_'#@#variant
0. 'coq/Coq_Strings_Ascii_ascii_N_embedding' 'h4/thm/patricia_casts/num_to_string_string_to_num_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftl_1_l'#@#variant 'h4/thm/HolSmt/r129_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_pred_l' 'h4/thm/complex/COMPLEX_NEG_LDIV_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lcm_1_l' 'h4/thm/HolSmt/r213_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_1' 'h4/thm/rat/RAT_AINV_0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_Even_succ' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRL'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_sub_add' 'h4/thm/arithmetic/SUB_ADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_succ_le_mono' 'h4/thm/numeral/numeral_lte_e6'
0. 'coq/Coq_ZArith_BinInt_Z_max_le_compat_r' 'h4/thm/arithmetic/LESS_MONO_ADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sub_succ' 'h4/thm/integer/INT_NEG_MUL2_'
0. 'coq/Coq_ZArith_Znat_positive_N_Z' 'h4/thm/rat/RAT_SGN_CALCULATE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_testbit_of_N' 'h4/thm/toto/qk_numOrd_def_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_le_mono' 'h4/thm/transc/EXP_MONO_LE_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_lt_mono_pos_l'#@#variant 'h4/thm/logroot/LT_EXP_ISO_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lcm_1_l'#@#variant 'h4/thm/extreal/sub_lzero_'#@#variant
0. 'coq/Coq_Classes_SetoidClass_pequiv_prf' 'h4/thm/llist/LFINITE_fromList_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_lt_mono_pos_l'#@#variant 'h4/thm/real/REAL_LE_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pos_pred_succ' 'h4/thm/frac/frac_tybij_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_max_r' 'h4/thm/integer/INT_DIVIDES_MUL_e1'
0. 'coq/Coq_NArith_Nnat_Nat2N_id' 'h4/thm/rat/RAT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_testbit_even_0'#@#variant 'h4/thm/toto/num_dtOrd_4'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_irrefl' 'h4/thm/real/REAL_LT_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_divide_mono_l' 'h4/thm/integer/INT_LT_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_sub_le_add_r' 'h4/thm/rat/RAT_RSUB_LES_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_ldiff_diag' 'h4/thm/arithmetic/SUB_EQUAL_0_'
0. 'coq/Coq_ZArith_BinInt_Z_abs_involutive' 'h4/thm/integer/INT_ABS_ABS_'
0. 'coq/Coq_ZArith_BinInt_Z_opp_inj_wd' 'h4/thm/toto/num_dt_11_e1'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_divide_xO_xO' 'h4/thm/integerRing/int_rewrites_tRRRRRRLRRRR'
0. 'coq/Coq_ZArith_BinInt_Z_lt_asymm' 'h4/thm/integer/INT_LT_ANTISYM_'
0. 'coq/Coq_NArith_BinNat_N_le_sub_le_add_r' 'h4/thm/integer/INT_LE_SUB_RADD_'
0. 'coq/Coq_NArith_Ndist_ni_le_refl' 'h4/thm/rat/RAT_LEQ_REF_'
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_factor_l' 'h4/thm/hreal/HRAT_LT_ADDL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_1_l'#@#variant 'h4/thm/integer/INT_SUB_REDUCE_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_glb_iff' 'h4/thm/extreal/le_min_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_le' 'h4/thm/extreal/extreal_lt_eq_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_ngt' 'h4/thm/integer/INT_NOT_LT_'
0. 'coq/Coq_QArith_Qminmax_Q_min_le_compat_r' 'h4/thm/extreal/le_radd_imp_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_wf_0' 'h4/thm/toto/StrongLinearOrder_LESS_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_opp_l' 'h4/thm/integer/INT_NEG_LMUL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ldiff_m1_r'#@#variant 'h4/thm/arithmetic/MOD_ONE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_le_mono_r' 'h4/thm/rat/RAT_LES_RADD_'
0. 'coq/Coq_Reals_Rtrigo_calc_rad_deg' 'h4/thm/numeral_bit/NUMERAL_iDIV2_2'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_max_r' 'h4/thm/extreal/le_max2_'
0. 'coq/Coq_ZArith_Znat_Zabs2N_inj_opp' 'h4/thm/complex/MODU_CONJ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_testbit_even_0'#@#variant 'h4/thm/quote/index_compare_def_3'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pow_gt_lin_r'#@#variant 'h4/thm/arithmetic/X_LT_EXP_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_lt_mono' 'h4/thm/integerRing/int_rewrites_tLRRRRLRRR'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_clearbit_spec_prime'#@#variant 'h4/thm/rat/RAT_DIV_MULMINV_'
0. 'coq/Coq_Reals_Ratan_Alt_PI_eq' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRL'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ge_le_iff' 'h4/thm/pred_set/COUNT_applied_'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_minus_one_neq_zero'#@#variant 'h4/thm/toto/cpn_distinct_1'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_max_r' 'h4/thm/hreal/HRAT_LT_ADDR_'
0. 'coq/Coq_ZArith_BinInt_Z_divide_0_r' 'h4/thm/integer/INT_DIVIDES_0_0'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lt_nge' 'h4/thm/HolSmt/r096_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_involutive' 'h4/thm/rat/RAT_AINV_AINV_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_lt_mono_l' 'h4/thm/real/REAL_LT_LADD_'
0. 'coq/Coq_NArith_BinNat_N_clearbit_spec_prime'#@#variant 'h4/thm/real/real_sub_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_succ_lt_mono' 'h4/thm/numeral/numeral_distrib_28'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_lt_le' 'h4/thm/arithmetic/LESS_ANTISYM_'
0. 'coq/Coq_Arith_PeanoNat_Nat_succ_le_mono' 'h4/thm/integerRing/int_rewrites_tRRRRRRLRRRR'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_nonneg' 'h4/thm/transc/ATN_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_ngt' 'h4/thm/HolSmt/r096_'
0. 'coq/Coq_Reals_Rminmax_R_min_le_compat_r' 'h4/thm/extreal/le_radd_imp_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_1_r' 'h4/thm/HolSmt/r127_'
0. 'coq/Coq_ZArith_Zpow_facts_Zpower_gt_1'#@#variant 'h4/thm/arithmetic/ONE_LT_MULT_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_le_mono_r' 'h4/thm/arithmetic/LESS_EQ_MONO_ADD_EQ_'
0. 'coq/Coq_ZArith_BinInt_Z_Even_succ' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRL'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_1_r'#@#variant 'h4/thm/arithmetic/DIV2_def_'#@#variant
0. 'coq/Coq_Reals_Rpower_sinh_arcsinh' 'h4/thm/numpair/invtri_linverse_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_cancel_l' 'h4/thm/rat/RAT_EQ_LMUL_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_0_l' 'h4/thm/integral/LE_0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_lteq' 'h4/thm/integer/INT_LE_CALCULATE_'
0. 'coq/Coq_ZArith_BinInt_Z_mod_1_r'#@#variant 'h4/thm/arithmetic/MOD_ONE_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_add_simpl_r_r' 'h4/thm/arithmetic/ABS_DIFF_ADD_SAME_'
0. 'coq/Coq_PArith_BinPos_Pos_divide_xO_xO' 'h4/thm/numeral/numeral_distrib_22'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_id' 'h4/thm/real/REAL_MAX_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_1_mul_pos'#@#variant 'h4/thm/integer/INT_LTE_ADD_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_le_compat_r' 'h4/thm/hrat/TRAT_MUL_WELLDEFINED_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_irrefl' 'h4/thm/string/string_lt_nonrefl_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_abs_pow' 'h4/thm/complex/COMPLEX_MUL_LNEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_null'#@#variant 'h4/thm/intExtension/INT_SGN_CLAUSES_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_le_mono' 'h4/thm/transc/EXP_MONO_IMP_'
0. 'coq/Coq_Bool_Bool_diff_false_true' 'h4/thm/ieee/ccode_distinct_1'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_lt_trans' 'h4/thm/real/REAL_LET_TRANS_'
0. 'coq/Coq_QArith_Qround_Qfloor_Z' 'h4/thm/prelim/num2ordering_ordering2num_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_0_2' 'h4/thm/extreal/lt_infty_2'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_eq_cases' 'h4/thm/integer/INT_LE_CALCULATE_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_1_l' 'h4/thm/divides/ONE_DIVIDES_ALL_'#@#variant
0. 'coq/Coq_omega_OmegaLemmas_OMEGA2' 'h4/thm/integer/INT_LT_MUL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_0_1' 'h4/thm/extreal/lt_infty_2'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_neq_0_succ' 'h4/thm/num/NOT_SUC_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_add_le_sub_r' 'h4/thm/integer/INT_LE_SUB_RADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_1_l'#@#variant 'h4/thm/arithmetic/ONE_MOD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_0_discr' 'h4/thm/quote/index_distinct_e2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_abs_r' 'h4/thm/integer/INT_DIVIDES_NEG_0'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_nonneg' 'h4/thm/transc/ATN_0'#@#variant
0. 'coq/Coq_Reals_Rfunctions_pow_mult' 'h4/thm/integer/INT_EXP_MULTIPLY_EXPONENTS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_total' 'h4/thm/string/string_lt_cases_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_0_l'#@#variant 'h4/thm/integral/LE_0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_nlt_ge' 'h4/thm/extreal/extreal_lt_def_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_opp_r' 'h4/thm/frac/frac_div_def_'
0. 'coq/Coq_PArith_BinPos_Pos_ge_le_iff' 'h4/thm/real/real_gt_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_divide_xO_xO' 'h4/thm/transc/EXP_MONO_LT_'
0. 'coq/Coq_NArith_BinNat_N_log2_up_null'#@#variant 'h4/thm/intExtension/INT_SGN_CLAUSES_0'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_total' 'h4/thm/hreal/HREAL_LT_TOTAL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftl_1_l'#@#variant 'h4/thm/integer/INT_SUB_REDUCE_1'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_0_2' 'h4/thm/transc/PI2_BOUNDS_e1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div_1_r' 'h4/thm/integer/INT_ADD_REDUCE_1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_lor' 'h4/thm/transc/EXP_SUB_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_iff' 'h4/thm/extreal/extreal_11_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_involutive' 'h4/thm/frac/FRAC_AINV_AINV_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_nonneg_nonpos'#@#variant 'h4/thm/extreal/mul_lt_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_0_1' 'h4/thm/transc/PI2_BOUNDS_e1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_trichotomy' 'h4/thm/arithmetic/LESS_CASES_IMP_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_le_mono_nonneg_l'#@#variant 'h4/thm/logroot/ROOT_LE_MONO_'#@#variant
0. 'coq/Coq_ZArith_Zlogarithm_Zlog2_up_log_sup' 'h4/thm/numRing/num_ring_thms_e17'#@#variant
0. 'coq/Coq_Bool_Bool_diff_false_true' 'h4/thm/integer/INT_10_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_lor' 'h4/thm/complex/COMPLEX_EXP_SUB_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_lt_mono_r_iff' 'h4/thm/integer/INT_LT_MONO_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mod_0_l' 'h4/thm/integer/INT_DIV_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_eq_cases' 'h4/thm/rat/rat_leq_def_'
0. 'coq/Coq_NArith_BinNat_N_sub_le_mono_r' 'h4/thm/arithmetic/LESS_MONO_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_opp_r' 'h4/thm/frac/frac_sub_def_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_le_mono_pos_l'#@#variant 'h4/thm/integer/INT_LT_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_divide_r' 'h4/thm/extreal/min_le2_'
0. 'coq/Coq_Arith_Compare_dec_not_eq' 'h4/thm/rat/RAT_LES_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_sub_le_add_l' 'h4/thm/rat/RAT_LSUB_LES_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sub_max_distr_l' 'h4/thm/transc/RPOW_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lxor_m1_r'#@#variant 'h4/thm/arithmetic/ADD1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_le_mono_l' 'h4/thm/hrat/TRAT_ADD_WELLDEFINED_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_pos_r' 'h4/thm/logroot/EXP_LE_ISO_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_nonneg' 'h4/thm/prim_rec/LESS_0_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_shuffle3' 'h4/thm/HolSmt/r086_'
0. 'coq/Coq_Arith_PeanoNat_Nat_min_le_compat_r' 'h4/thm/extreal/le_radd_imp_'
0. 'coq/Coq_Arith_Factorial_fact_le' 'h4/thm/bit/TWOEXP_MONO_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_min_le_compat_r' 'h4/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_iff' 'h4/thm/integer/INT_DIV_CALCULATE_2'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pos_pred_spec' 'h4/thm/integerRing/int_ring_thms_e17'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_nonneg_nonpos'#@#variant 'h4/thm/real/REAL_NEG_GT0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_sub_mask_neg_iff_prime' 'h4/thm/quote/index_lt_def_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_lt_mono_pos_r'#@#variant 'h4/thm/logroot/EXP_LE_ISO_'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_gt' 'h4/thm/int_arith/INT_NUM_DIVIDES_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_lt_mono_r' 'h4/thm/hreal/HRAT_LT_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_lt_iff' 'h4/thm/util_prob/X_LE_MAX_'
0. 'coq/Coq_QArith_Qcanon_Q_apart_0_1'#@#variant 'h4/thm/ieee/roundmode_distinct_1'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gt_lt_iff' 'h4/thm/integer/int_gt_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_shiftr' 'h4/thm/complex/COMPLEX_SUB_LNEG_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_max_lt_iff' 'h4/thm/arithmetic/MAX_LE_0'
0. 'coq/Coq_Reals_RIneq_Rsqr_0_uniq' 'h4/thm/real/REAL_INV_NZ_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_COS_bound/0'#@#variant 'h4/thm/transc/ATN_0'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_1'#@#variant 'h4/thm/hrat/TRAT_SUCINT_0'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_max_r' 'h4/thm/integer/INT_DIVIDES_MUL_e1'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_nge' 'h4/thm/real/real_lt_'
0. 'coq/Coq_PArith_BinPos_Pos_add_sub' 'h4/thm/integer/INT_SUB_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lcm_divide_iff' 'h4/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_ZArith_Zlogarithm_log_sup_correct1'#@#variant 'h4/thm/frac/FRAC_DNMPOS_'#@#variant
0. 'coq/Coq_ZArith_Znumtheory_not_prime_0' 'h4/thm/divides/NOT_PRIME_0_'
0. 'coq/Coq_NArith_Ndist_le_ni_le' 'h4/thm/realax/TREAL_ISO_'#@#variant
0. 'coq/Coq_Reals_RIneq_Ropp_mult_distr_l_reverse' 'h4/thm/arithmetic/ADD_e1'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_le_compat_r' 'h4/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_pred_succ' 'h4/thm/numeral/DIV2_BIT1_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_succ_lt_mono' 'h4/thm/numeral/numeral_distrib_22'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_lt_mono_l' 'h4/thm/hreal/HRAT_LT_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_1_l'#@#variant 'h4/thm/HolSmt/r128_'#@#variant
0. 'coq/Coq_Init_Peano_O_S' 'h4/thm/quote/index_distinct_1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_le_mono_pos_l'#@#variant 'h4/thm/real/REAL_LE_LMUL_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_lt_mono' 'h4/thm/numeral/numeral_lt_4'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftl_opp_r' 'h4/thm/HolSmt/r131_'#@#variant
0. 'coq/Coq_ZArith_Znat_Z2Nat_inj_pos' 'h4/thm/hrat/hrat_sucint_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_sub_assoc' 'h4/thm/numpair/napp_thm_e1'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_lt_mono_l' 'h4/thm/realax/HREAL_LT_LADD_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_sub' 'h4/thm/integer/INT_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_succ_diag_r' 'h4/thm/divides/INDEX_LESS_PRIMES_'
0. 'coq/Coq_QArith_QArith_base_Qinv_le_0_compat'#@#variant 'h4/thm/extreal/sqrt_pos_lt_'#@#variant
0. 'coq/Coq_Reals_Ratan_Ropp_div' 'h4/thm/complex/COMPLEX_NEG_LMUL_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_le_mono_l' 'h4/thm/integer/INT_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_pos_pos' 'h4/thm/realax/TREAL_LT_MUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_le_lt_mono' 'h4/thm/integer/INT_LET_ADD2_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_lt_mono'#@#variant 'h4/thm/real/REAL_LT_MUL2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_Even_succ' 'h4/thm/binary_ieee/exp_gt2_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lnot_lor' 'h4/thm/transc/EXP_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_nonneg' 'h4/thm/integral/LT_0_'
0. 'coq/Coq_Reals_RIneq_Rlt_irrefl' 'h4/thm/integer/INT_LT_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_opp_lt_mono' 'h4/thm/extreal/lt_neg_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_pos_l'#@#variant 'h4/thm/transc/RPOW_POS_LT_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_ldiff_diag' 'h4/thm/real/REAL_SUB_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_le_mono' 'h4/thm/numeral/numeral_lte_3'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_le_mono_l' 'h4/thm/hreal/HRAT_LT_LMUL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_refl' 'h4/thm/rat/RAT_LEQ_REF_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_le_mono' 'h4/thm/real/REAL_LE_NEG2_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_pred_le' 'h4/thm/arithmetic/LESS_EQ_'
0. 'coq/Coq_QArith_QArith_base_Qnot_le_lt' 'h4/thm/integer/INT_LET_TOTAL_'
0. 'coq/Coq_Reals_RIneq_Rplus_le_compat_r' 'h4/thm/hrat/TRAT_MUL_WELLDEFINED_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_testbit_even_0'#@#variant 'h4/thm/toto/qk_numeralOrd_4'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_le_mono_l' 'h4/thm/integer/TINT_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_iff' 'h4/thm/string/CHAR_EQ_THM_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftl_opp_r' 'h4/thm/extreal/extreal_div_def_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_0_1' 'h4/thm/prim_rec/LESS_0_0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_opp' 'h4/thm/DeepSyntax/neginf_def_2'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_succ_inj_wd' 'h4/thm/real/REAL_INV_INJ_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_compare_succ_succ' 'h4/thm/toto/qk_numeralOrd_6'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_0_l' 'h4/thm/integer/INT_REM0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_succ_diag_r' 'h4/thm/divides/INDEX_LESS_PRIMES_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_divide_mono_l' 'h4/thm/realax/REAL_LT_IADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_sub_diag' 'h4/thm/rat/RAT_SUB_ID_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_divide_mono_l' 'h4/thm/real/REAL_LT_IADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_cancel_l' 'h4/thm/integer/EQ_LADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_le_compat_l' 'h4/thm/integer/INT_LT_LADD_IMP_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_sub_lt_add_r' 'h4/thm/real/REAL_LT_ADD_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_lub_iff' 'h4/thm/arithmetic/MAX_LE_e1'
0. 'coq/Coq_ZArith_BinInt_Z_sub_0_l' 'h4/thm/HolSmt/r129_'#@#variant
0. 'coq/Coq_Reals_RIneq_cond_pos'#@#variant 'h4/thm/complex/MODU_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_eq_le_incl' 'h4/thm/HolSmt/t006_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_max_l' 'h4/thm/hreal/HRAT_LT_ADDL_'
0. 'coq/Coq_QArith_QArith_base_Qmult_lt_r'#@#variant 'h4/thm/real/REAL_LT_RDIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_0_r'#@#variant 'h4/thm/arithmetic/MOD_1_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_le_mono_r' 'h4/thm/integer/INT_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_sub_le_add_r' 'h4/thm/arithmetic/SUB_LEFT_GREATER_EQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_ones_equiv'#@#variant 'h4/thm/numeral_bit/NUMERAL_iDIV2_4'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_ge' 'h4/thm/int_arith/INT_NUM_DIVIDES_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_nonneg' 'h4/thm/prim_rec/LESS_0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_le_mono' 'h4/thm/arithmetic/LESS_MONO_EQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_0_r'#@#variant 'h4/thm/arithmetic/MOD_ONE_'#@#variant
0. 'coq/Coq_Reals_RIneq_Ropp_mult_distr_l' 'h4/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_lt_mono_l' 'h4/thm/real/REAL_LT_LADD_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_double' 'h4/thm/extreal/extreal_inv_def_e2'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_cancel_r' 'h4/thm/rat/RAT_EQ_RADD_'
0. 'coq/Coq_NArith_BinNat_N_pred_div2_up' 'h4/thm/toto/num_dt_size_def_1'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_1_l' 'h4/thm/integer/INT_SUB_LZERO_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_pred_r' 'h4/thm/real/REAL_NEG_RMUL_'
0. 'coq/Coq_NArith_BinNat_N_lcm_1_r' 'h4/thm/integer/INT_ADD_REDUCE_1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_le_mono' 'h4/thm/numeral/numeral_lt_4'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mod_1_l'#@#variant 'h4/thm/arithmetic/ONE_MOD_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_assoc' 'h4/thm/hrat/TRAT_MUL_ASSOC_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_simpl_r' 'h4/thm/integer/INT_SUB_ADD_'
0. 'coq/Coq_Reals_RIneq_Rle_or_lt' 'h4/thm/arithmetic/LESS_CASES_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_antisym' 'h4/thm/arithmetic/LESS_EQUAL_ANTISYM_'
0. 'coq/Coq_ZArith_Znat_positive_N_nat' 'h4/thm/ieee/Sign_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_1_l' 'h4/thm/HolSmt/r221_'
0. 'coq/Coq_NArith_BinNat_N_mul_pos_cancel_l'#@#variant 'h4/thm/real/REAL_LT_LMUL_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_sub' 'h4/thm/integer/INT_SUB_ADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_even_1' 'h4/thm/float/FLOAT_INFINITIES_SIGNED_e1'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rmin_Rgt_r' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_e2'
0. 'coq/Coq_Lists_List_concat_cons' 'h4/thm/llist/LFLATTEN_APPEND_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_land_diag' 'h4/thm/real/REAL_MAX_REFL_'
0. 'coq/Coq_Reals_Rpower_arcsinh_sinh' 'h4/thm/numeral_bit/NUMERAL_iDIV2_2'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_le_mono' 'h4/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_QArith_Qabs_Qabs_wd' 'h4/thm/integer/TINT_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_divide' 'h4/thm/real/REAL_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_1_l' 'h4/thm/extreal/neg_minus1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_involutive' 'h4/thm/extreal/neg_neg_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_pred_succ' 'h4/thm/transc/ATN_e2'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_nonneg' 'h4/thm/integral/LT_0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_1_r' 'h4/thm/extreal/sub_rzero_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_inj_wd' 'h4/thm/DeepSyntax/deep_form_11_2'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_add_lt_sub_r' 'h4/thm/real/REAL_LE_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_succ_diag_r' 'h4/thm/numpair/tri_le_'
0. 'coq/Coq_Bool_Bool_orb_diag' 'h4/thm/extreal/max_refl_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_1_r' 'h4/thm/integer/INT_ADD_RID_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_eq_0' 'h4/thm/real/REAL_ENTIRE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_le_mono' 'h4/thm/divides/LT_PRIMES_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_factor_l' 'h4/thm/hreal/HRAT_LT_ADDL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftr_opp_r' 'h4/thm/frac/frac_div_def_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_lt_trans' 'h4/thm/real/REAL_LET_TRANS_'
0. 'coq/Coq_ZArith_BinInt_Z_add_lt_mono_r' 'h4/thm/integer/INT_LT_RADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_testbit_even_0'#@#variant 'h4/thm/toto/qk_numeralOrd_3'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_red' 'h4/thm/extreal/extreal_exp_def_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div_1_r' 'h4/thm/HolSmt/r127_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_1_r' 'h4/thm/real/REAL_SUB_RZERO_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_pos_r'#@#variant 'h4/thm/logroot/EXP_LT_ISO_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_lt_mono_r' 'h4/thm/rat/RAT_LES_RADD_'
0. 'coq/Coq_ZArith_BinInt_Z_Odd_succ' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRL'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_add_lt_sub_r' 'h4/thm/arithmetic/SUB_LEFT_GREATER_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sub_diag' 'h4/thm/real/REAL_SUB_REFL_'#@#variant
0. 'coq/Coq_ZArith_Znat_Zabs2Nat_id' 'h4/thm/binary_ieee/num2rounding_rounding2num_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_gt_cases' 'h4/thm/integer/INT_LTE_TOTAL_'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_succ' 'h4/thm/complex/COMPLEX_OF_REAL_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_pow' 'h4/thm/complex/COMPLEX_NEG_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_lt_lin'#@#variant 'h4/thm/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Init_Peano_plus_Sn_m' 'h4/thm/integer/INT_MUL_CALCULATE_1'
0. 'coq/Coq_NArith_BinNat_N_add_succ_r' 'h4/thm/real/REAL_NEG_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_pos'#@#variant 'h4/thm/real/REAL_LT_INV_EQ_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_mul_xO_r' 'h4/thm/real/REAL_NEG_RMUL_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_double_plus_one' 'h4/thm/extreal/extreal_sqrt_def_0'
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_pos_lt'#@#variant 'h4/thm/real/ABS_CASES_'#@#variant
0. 'coq/Coq_QArith_Qpower_Qpower_pos'#@#variant 'h4/thm/extreal/pow_pos_le_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_Even_succ' 'h4/thm/binary_ieee/exp_gt2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lcm_1_l'#@#variant 'h4/thm/util_prob/lg_def_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lxor_m1_r'#@#variant 'h4/thm/arithmetic/PRE_SUB1_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_succ_le_mono' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lxor_eq_0_iff' 'h4/thm/arithmetic/ABS_DIFF_EQ_0_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_lteq' 'h4/thm/integral/LE_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_succ_l' 'h4/thm/arithmetic/ADD_e1'
0. 'coq/Coq_Arith_Max_le_max_l' 'h4/thm/integer/INT_DIVIDES_MUL_0'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_lt_not_gt' 'h4/thm/extreal/lt_antisym_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_inj_wd' 'h4/thm/numeral/numeral_distrib_19'
0. 'coq/Coq_ZArith_BinInt_Z_divide_add_r' 'h4/thm/divides/DIVIDES_ADD_1_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_le_mono_r' 'h4/thm/arithmetic/LE_ADD_RCANCEL_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_divide_mono_l' 'h4/thm/real/REAL_LT_IADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_0_discr' 'h4/thm/transc/EXP_NZ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_trichotomy' 'h4/thm/arithmetic/LESS_LESS_CASES_'
0. 'coq/Coq_NArith_BinNat_N_le_0_l' 'h4/thm/integral/LE_0_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_lt_mono_l' 'h4/thm/realax/HREAL_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_lt_mono' 'h4/thm/numeral/numeral_lte_3'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_lub_iff' 'h4/thm/extreal/max_le_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_le_mono' 'h4/thm/numpair/tri_LT_I_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_neq' 'h4/thm/real/REAL_LT_IMP_NE_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_succ_lt_mono' 'h4/thm/arithmetic/LESS_EQ_MONO_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_pos_cancel_r'#@#variant 'h4/thm/real/REAL_LT_RDIV_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_sub_le_add_l' 'h4/thm/rat/RAT_LSUB_LES_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_1_l' 'h4/thm/extreal/add_lzero_'
0. 'coq/Coq_Bool_Bool_negb_involutive_reverse' 'h4/thm/real/REAL_NEGNEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_pos'#@#variant 'h4/thm/transc/LN_POS_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_0_r' 'h4/thm/integer/INT_DIVIDES_0_0'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_1' 'h4/thm/real/ABS_0_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_le_mono' 'h4/thm/numeral/numeral_lte_e6'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_lt_mono' 'h4/thm/numeral/numeral_lt_3'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_succ_diag_r' 'h4/thm/divides/INDEX_LESS_PRIMES_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lor_nonneg' 'h4/thm/arithmetic/ZERO_LESS_MULT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_succ_r' 'h4/thm/arithmetic/ADD_SUC_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_nle_gt' 'h4/thm/integer/int_le_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mod_mod' 'h4/thm/integer/INT_MOD_MOD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_pos_pos' 'h4/thm/integer/INT_LT_MUL_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_compare' 'h4/thm/toto/charOrd_'
0. 'coq/Coq_Reals_Rtrigo1_sin_neg' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRL'
0. 'coq/Coq_QArith_QArith_base_Qplus_le_l' 'h4/thm/hreal/HRAT_LT_RADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_odd_1' 'h4/thm/ieee/Minus_infinity_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_le_max_l' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_glb_iff' 'h4/thm/arithmetic/MIN_LT_e1'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_succ_r' 'h4/thm/integer/INT_MUL_CALCULATE_2'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_divide_add_cancel_l' 'h4/thm/poly/POLY_DIVIDES_SUB2_'#@#variant
0. 'coq/Coq_ZArith_Zpower_two_power_nat_S'#@#variant 'h4/thm/complex/COMPLEX_OF_REAL_INV_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_nle_succ_0' 'h4/thm/integer/INT_ABS_LT0_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_log2' 'h4/thm/extreal/extreal_exp_def_0'
0. 'coq/Coq_NArith_BinNat_N_shiftr_div_pow2'#@#variant 'h4/thm/complex/COMPLEX_SUB_RNEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_factor_l' 'h4/thm/extreal/le_max1_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_le_mono' 'h4/thm/transc/EXP_MONO_IMP_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_le_compat_l' 'h4/thm/realax/TREAL_LT_ADD_'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_minus_one_neq_zero'#@#variant 'h4/thm/ieee/roundmode_distinct_1'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_setbit_spec_prime'#@#variant 'h4/thm/HolSmt/r131_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_le_mono_r_iff'#@#variant 'h4/thm/int_arith/lt_justify_multiplication_'#@#variant
0. 'coq/Coq_Init_Peano_le_pred' 'h4/thm/prim_rec/LESS_MONO_'
0. 'coq/Coq_NArith_BinNat_N_log2_up_le_mono' 'h4/thm/bit/TWOEXP_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_le_compat_l' 'h4/thm/realax/TREAL_LT_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_add_r' 'h4/thm/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_cancel_r' 'h4/thm/arithmetic/EQ_MONO_ADD_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_nonpos_nonneg'#@#variant 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRL'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_le_compat_r' 'h4/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_min_glb_lt_iff' 'h4/thm/extreal/le_min_'
0. 'coq/Coq_QArith_QOrderedType_QOrder_le_refl' 'h4/thm/divides/DIVIDES_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_eq_mul_0' 'h4/thm/integer/INT_ENTIRE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_nonneg_l'#@#variant 'h4/thm/integral/REAL_LE_LMUL1_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_nlt_ge' 'h4/thm/real/real_lte_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_shuffle3' 'h4/thm/HolSmt/r220_'
0. 'coq/Coq_ZArith_BinInt_Z_rem_mul' 'h4/thm/integer/INT_REM_COMMON_FACTOR_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lxor_eq_0_iff' 'h4/thm/arithmetic/ABS_DIFF_EQ_0_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_le_mono_pos_l'#@#variant 'h4/thm/logroot/LE_EXP_ISO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_inj_wd' 'h4/thm/real/REAL_EQ_NEG_'
0. 'coq/Coq_NArith_BinNat_N_pow_succ_r_prime' 'h4/thm/arithmetic/EXP_e1'
0. 'coq/Coq_NArith_BinNat_N_gcd_divide_l' 'h4/thm/extreal/min_le1_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lcm_1_r' 'h4/thm/HolSmt/r080_'
0. 'coq/Coq_QArith_Qminmax_Q_min_le_compat_r' 'h4/thm/hrat/TRAT_MUL_WELLDEFINED_'#@#variant
0. 'coq/Coq_Reals_RIneq_Ropp_minus_distr' 'h4/thm/integer/INT_NEG_SUB_'
0. 'coq/Coq_QArith_QOrderedType_QOrder_lt_irrefl' 'h4/thm/realax/HREAL_LT_REFL_'
0. 'coq/Coq_NArith_BinNat_N_lt_add_pos_l'#@#variant 'h4/thm/arithmetic/X_LT_EXP_X_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rmax_l' 'h4/thm/hreal/HRAT_LT_ADDL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_le_mono_l' 'h4/thm/hreal/HRAT_LT_LMUL_'
0. 'coq/Coq_Reals_ROrderedType_ROrder_le_lt_trans' 'h4/thm/arithmetic/LESS_EQ_LESS_TRANS_'
0. 'coq/Coq_PArith_BinPos_Pos_add_le_mono_l' 'h4/thm/arithmetic/LT_ADD_LCANCEL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_double_size_level' 'h4/thm/toto/num_dt_size_def_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_even_1' 'h4/thm/rat/rat_of_num_def_1'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_total' 'h4/thm/arithmetic/LESS_CASES_IMP_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_divide_mono_l' 'h4/thm/integer/TINT_LT_ADD_'#@#variant
0. 'coq/Coq_Bool_Bool_orb_diag' 'h4/thm/arithmetic/MAX_IDEM_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_rem_0_l' 'h4/thm/integer/INT_QUOT_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_divide_mul_l' 'h4/thm/integer/INT_DIVIDES_LMUL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_null'#@#variant 'h4/thm/intExtension/INT_SGN_CLAUSES_0'#@#variant
0. 'coq/Coq_ZArith_Zlogarithm_log_inf_correct/0'#@#variant 'h4/thm/extreal/lt_infty_0'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_lt_mono_pos_l'#@#variant 'h4/thm/rat/RAT_LES_LMUL_POS_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_succ_le_mono' 'h4/thm/integerRing/int_rewrites_tLRRRLRRRR'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_ngt' 'h4/thm/extreal/extreal_lt_def_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_divide_mono_r' 'h4/thm/integer/TINT_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Zpos_eq_iff' 'h4/thm/binary_ieee/float_compare_EQ_float_compare_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_mul_l' 'h4/thm/arithmetic/LESS_IMP_LESS_ADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_lteq' 'h4/thm/integral/LE_LT_'
0. 'coq/Coq_ZArith_Znat_Zabs2Nat_id' 'h4/thm/realax/TREAL_BIJ_0'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_add_lt_mono_r' 'h4/thm/arithmetic/LE_ADD_RCANCEL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_add_distr' 'h4/thm/arithmetic/SUB_RIGHT_SUB_'
0. 'coq/Coq_ZArith_BinInt_Z_shiftr_opp_r' 'h4/thm/HolSmt/r131_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_lt_mono_r' 'h4/thm/real/REAL_LT_LMUL_IMP_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_pred' 'h4/thm/numeral/iDUB_removal_1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_succ_le_mono' 'h4/thm/numeral/numeral_distrib_22'
0. 'coq/Coq_Bool_Bool_orb_true_iff' 'h4/thm/extreal/entire_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rplus_opp_l' 'h4/thm/hrat/HRAT_MUL_LINV_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_pred_succ' 'h4/thm/transc/ATN_e2'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_le_mono_nonneg'#@#variant 'h4/thm/integer/INT_LT_MUL2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_pred' 'h4/thm/string/IMPLODE_EXPLODE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_glb_iff' 'h4/thm/extreal/le_min_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_lt_iff' 'h4/thm/util_prob/X_LE_MAX_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_neg_neg'#@#variant 'h4/thm/extreal/lt_mul_neg_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_1_l'#@#variant 'h4/thm/arithmetic/ZERO_LESS_EQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pos_pred_succ' 'h4/thm/num/num_ISO_DEF_0'
0. 'coq/Coq_Reals_Rminmax_R_max_l' 'h4/thm/real/REAL_MAX_ALT_e1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_1_l' 'h4/thm/real/REAL_MUL_LZERO_'
0. 'coq/Coq_NArith_BinNat_N_mul_shuffle3' 'h4/thm/float/REAL_MUL_AC_e2'
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_l' 'h4/thm/realax/REAL_LT_IADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_1_succ' 'h4/thm/integral/LT_0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_0_r' 'h4/thm/extreal/le_infty_tRL'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_nle_gt' 'h4/thm/integer/int_le_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_lt_mono' 'h4/thm/rat/RAT_LES_AINV_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_setbit_spec_prime'#@#variant 'h4/thm/rat/RAT_DIV_MULMINV_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_lxor_l' 'h4/thm/complex/COMPLEX_MUL_LNEG_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_add_le' 'h4/thm/real/REAL_ABS_TRIANGLE_'
0. 'coq/Coq_NArith_BinNat_N_pos_pred_succ' 'h4/thm/ASCIInumbers/toString_toNum_cancel_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_succ' 'h4/thm/bit/LOG2_TWOEXP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_opp_diag_l' 'h4/thm/hrat/HRAT_MUL_LINV_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_le_compat_l' 'h4/thm/integer/INT_LT_LADD_IMP_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_le_compat_r' 'h4/thm/arithmetic/LESS_MONO_ADD_'
0. 'coq/Coq_Arith_Plus_le_plus_l' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_le_mono_r' 'h4/thm/rat/RAT_LES_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_rem_opp_l_prime' 'h4/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_Reals_Rtrigo1_SIN_bound/1' 'h4/thm/transc/SIN_BOUNDS_e1'#@#variant
0. 'coq/Coq_Reals_RIneq_Ropp_div' 'h4/thm/real/REAL_MUL_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_lteq' 'h4/thm/real/REAL_LE_LT_'
0. 'coq/Coq_Reals_RIneq_Rdiv_lt_0_compat' 'h4/thm/arithmetic/LESS_MULT2_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_nlt_1_r' 'h4/thm/bit/BIT_ZERO_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_eq_mul_0' 'h4/thm/extreal/entire_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_refl' 'h4/thm/integer/TINT_EQ_REFL_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rplus_lt_compat_r' 'h4/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Reals_Rtrigo_calc_sqrt2_neq_0'#@#variant 'h4/thm/binary_ieee/float_compare_distinct_4'
0. 'coq/Coq_ZArith_Zorder_Zeq_plus_swap' 'h4/thm/real/REAL_EQ_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_square_spec' 'h4/thm/arithmetic/TIMES2_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_le_compat_r' 'h4/thm/hrat/TRAT_ADD_WELLDEFINED_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_r' 'h4/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_le_mono' 'h4/thm/prim_rec/LESS_MONO_'
0. 'coq/Coq_PArith_Pnat_SuccNat2Pos_inj_succ' 'h4/thm/DeepSyntax/deep_form_size_def_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_succ_inj_wd' 'h4/thm/integer/INT_EQ_NEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_inj_wd' 'h4/thm/transc/EXP_INJ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_1_r' 'h4/thm/HolSmt/r223_'
0. 'coq/Coq_Arith_PeanoNat_Nat_max_le_compat_l' 'h4/thm/integer/INT_LT_LADD_IMP_'
0. 'coq/Coq_ZArith_Zdiv_Z_div_mult_full' 'h4/thm/real/REAL_DIV_RMUL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sub_lt_mono_r' 'h4/thm/integer/INT_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div_1_r' 'h4/thm/extreal/sub_rzero_'
0. 'coq/Coq_Bool_Bool_diff_false_true' 'h4/thm/binary_ieee/float_compare_distinct_1'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_divide_r' 'h4/thm/extreal/min_le2_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_Int31Cyclic_specs' 'h4/thm/numRing/num_ring_thms_0'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_divide_mono_r' 'h4/thm/hrat/TRAT_ADD_WELLDEFINED_'#@#variant
0. 'coq/Coq_Reals_RIneq_lt_INR' 'h4/thm/realax/TREAL_ISO_'#@#variant
0. 'coq/Coq_Reals_Rtrigo_def_sin_no_R0' 'h4/thm/extreal/num_not_infty_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ldiff_m1_l'#@#variant 'h4/thm/extreal/sub_lzero_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_refl' 'h4/thm/rat/RAT_LEQ_REF_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_le_mono_r_iff'#@#variant 'h4/thm/integer/INT_LE_MONO_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_of_pos' 'h4/thm/complex/complex_of_num_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lcm_1_r' 'h4/thm/integer/INT_SUB_RZERO_'
0. 'coq/Coq_ZArith_Zquot_Zquot_opp_r' 'h4/thm/complex/COMPLEX_NEG_RMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_le_mono' 'h4/thm/integer/TINT_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_sin_shift'#@#variant 'h4/thm/transc/COS_SIN_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div_1_r' 'h4/thm/real/REAL_SUB_RZERO_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_le_mono_r' 'h4/thm/logroot/ROOT_LE_MONO_'
0. 'coq/Coq_NArith_BinNat_N_divide_factor_l' 'h4/thm/realax/HREAL_LT_ADDL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_irrefl' 'h4/thm/extreal/lt_refl_'
0. 'coq/Coq_ZArith_BinInt_Zpos_eq_iff' 'h4/thm/DeepSyntax/deep_form_11_4'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_m1_0' 'h4/thm/extreal/thirds_between_tRLL'#@#variant
0. 'coq/Coq_NArith_BinNat_N_gcd_diag' 'h4/thm/extreal/max_refl_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_succ_r' 'h4/thm/real/REAL_MUL_RNEG_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_le_mono_r' 'h4/thm/hreal/HRAT_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_nonneg' 'h4/thm/transc/ATN_0'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_PI_neq0' 'h4/thm/toto/all_cpn_distinct_tRRL'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lnot_ones' 'h4/thm/rat/RAT_ADD_LINV_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_succ_not_1' 'h4/thm/quote/index_distinct_e2'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_le_compat_r' 'h4/thm/integer/TINT_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_le_0_l' 'h4/thm/integer/INT_DIVIDES_1_0'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_divide_mono_r' 'h4/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lor_diag' 'h4/thm/gcd/GCD_REF_'
0. 'coq/Coq_ZArith_Zlogarithm_Zlog2_log_inf' 'h4/thm/frac/frac_sgn_def_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_trichotomy' 'h4/thm/arithmetic/LESS_CASES_IMP_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_iff' 'h4/thm/DeepSyntax/deep_form_11_4'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_shiftr' 'h4/thm/complex/COMPLEX_SUB_LNEG_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_max_r' 'h4/thm/real/REAL_MAX_ALT_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div_same'#@#variant 'h4/thm/integer/INT_DIV_ID_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Zopp_mult_distr_l' 'h4/thm/integer/INT_NEG_LMUL_'
0. 'coq/Coq_ZArith_BinInt_Z_divide_1_l'#@#variant 'h4/thm/arithmetic/ZERO_LESS_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_testbit_even_0'#@#variant 'h4/thm/toto/num_dtOrd_4'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_nonneg_nonneg' 'h4/thm/binary_ieee/le2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_divide_iff' 'h4/thm/integral/REAL_LT_MIN_'
0. 'coq/Coq_Reals_RIneq_cond_nonneg'#@#variant 'h4/thm/binary_ieee/zero_lt_twopow_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_neq_mul_0' 'h4/thm/rat/RAT_NO_ZERODIV_NEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_id' 'h4/thm/arithmetic/MIN_IDEM_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_div2' 'h4/thm/quote/index_size_def_1'#@#variant
0. 'coq/Coq_Bool_Bool_negb_xorb_l' 'h4/thm/arithmetic/ADD_e1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sub_le_mono_r' 'h4/thm/extreal/le_radd_imp_'
0. 'coq/Coq_Bool_Bool_diff_true_false' 'h4/thm/binary_ieee/float_compare_distinct_4'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_succ_l' 'h4/thm/complex/COMPLEX_NEG_LDIV_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lt_asymm' 'h4/thm/string/string_lt_antisym_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_le_max_l' 'h4/thm/realax/HREAL_LT_ADDL_'
0. 'coq/Coq_NArith_BinNat_N_le_sub_l' 'h4/thm/real/REAL_MIN_LE1_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_asymm' 'h4/thm/hreal/HRAT_LT_GT_'
0. 'coq/Coq_Reals_Rsqrt_def_Rsqrt_positivity'#@#variant 'h4/thm/real/REAL_POS_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_nonneg_pos'#@#variant 'h4/thm/real/REAL_LET_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_eq_1'#@#variant 'h4/thm/arithmetic/ADD_EQ_0_'
0. 'coq/Coq_QArith_QArith_base_Qle_lt_trans' 'h4/thm/integer/INT_LET_TRANS_'
0. 'coq/Coq_ZArith_BinInt_Z_le_lteq' 'h4/thm/integer/INT_LE_LT_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_succ_l' 'h4/thm/frac/FRAC_AINV_LMUL_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_comm' 'h4/thm/hrat/TRAT_MUL_SYM_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_succ' 'h4/thm/numeral/iDUB_removal_1'
0. 'coq/Coq_Arith_PeanoNat_Nat_clearbit_spec_prime'#@#variant 'h4/thm/rat/RAT_DIV_MULMINV_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_nlt_ge' 'h4/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_NArith_BinNat_N_mul_pos_pos' 'h4/thm/realax/REAL_LT_MUL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_opp_r' 'h4/thm/complex/COMPLEX_NEG_RMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_setbit_spec_prime'#@#variant 'h4/thm/extreal/extreal_sub_add_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_le_lin'#@#variant 'h4/thm/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_eq_0' 'h4/thm/arithmetic/MULT_EQ_0_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_le_mono_l' 'h4/thm/hrat/TRAT_ADD_WELLDEFINED_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_gt_lt_iff' 'h4/thm/pred_set/COUNT_applied_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_gt' 'h4/thm/extreal/extreal_lt_eq_'
0. 'coq/Coq_Reals_Ratan_atan_right_inv' 'h4/thm/numRing/num_rewrites_tLLRRRR'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lnot_0_l' 'h4/thm/HolSmt/r221_'#@#variant
0. 'coq/Coq_ZArith_Znat_Zabs2N_inj_lt'#@#variant 'h4/thm/float/FLOAT_LT_'
0. 'coq/Coq_ZArith_BinInt_Z_land_nonneg'#@#variant 'h4/thm/arithmetic/EVEN_MULT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_1' 'h4/thm/integer/INT_ADD_REDUCE_2'
0. 'coq/Coq_FSets_FSetPositive_PositiveSet_E_bits_lt_antirefl' 'h4/thm/real/REAL_LT_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_rem_1_l'#@#variant 'h4/thm/arithmetic/ZERO_DIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_pos_pos' 'h4/thm/realax/TREAL_LT_MUL_'#@#variant
0. 'coq/Coq_ZArith_Znat_Zabs_N_nat' 'h4/thm/ieee/Sign_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_divide_mono_l' 'h4/thm/real/REAL_LT_IADD_'
0. 'coq/Coq_Strings_Ascii_ascii_nat_embedding' 'h4/thm/num/num_ISO_DEF_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_lt_mono_r_iff'#@#variant 'h4/thm/real/REAL_LE_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_nonneg' 'h4/thm/integral/LT_0_'
0. 'coq/Coq_Reals_RIneq_Ropp_div' 'h4/thm/complex/COMPLEX_NEG_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_le_mono' 'h4/thm/divides/LT_PRIMES_'
0. 'coq/Coq_QArith_Qreduction_Qred_compare' 'h4/thm/toto/qk_numeralOrd_5'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_le_mono_l' 'h4/thm/real/REAL_LE_LADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_le_mono_r' 'h4/thm/hreal/HRAT_LT_RMUL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_succ_diag_r' 'h4/thm/real/REAL_POS_INFLATE_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_succ_lt_mono' 'h4/thm/numeral/numeral_lte_e6'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_nonneg' 'h4/thm/transc/ATN_BOUNDS_0'#@#variant
0. 'coq/Coq_MMaps_MMapWeakList_Some_iff' 'h4/thm/option/option_CLAUSES_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_1_l' 'h4/thm/HolSmt/r213_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_id' 'h4/thm/arithmetic/MIN_IDEM_'
0. 'coq/Coq_Numbers_Cyclic_DoubleCyclic_DoubleBase_lt_0_wB' 'h4/thm/realax/REAL_POS_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_lt_mono_r_iff'#@#variant 'h4/thm/int_arith/justify_divides_'#@#variant
0. 'coq/Coq_QArith_QOrderedType_QOrder_eq_refl' 'h4/thm/divides/DIVIDES_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_irrefl' 'h4/thm/real/REAL_LT_REFL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_clearbit_spec_prime'#@#variant 'h4/thm/frac/frac_div_def_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mod_1_l'#@#variant 'h4/thm/arithmetic/ONE_MOD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_lt_mono_r' 'h4/thm/hreal/HRAT_LT_RMUL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_w1_spec' 'h4/thm/numRing/num_ring_thms_0'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_setbit_spec_prime'#@#variant 'h4/thm/extreal/extreal_div_def_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_0_r' 'h4/thm/divides/DIVIDES_ONE_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_null'#@#variant 'h4/thm/intExtension/INT_SGN_CLAUSES_e2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_le_compat_l' 'h4/thm/integer/TINT_LT_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_lcm_r' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_le_mono' 'h4/thm/integerRing/int_rewrites_tLRRRLRRR'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_succ_inj_wd' 'h4/thm/real/REAL_INV_INJ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_pred_l' 'h4/thm/complex/COMPLEX_MUL_LNEG_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_nonneg' 'h4/thm/arithmetic/FACT_LESS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ldiff_m1_l'#@#variant 'h4/thm/integer/INT_SUB_REDUCE_1'#@#variant
0. 'coq/Coq_Arith_Gt_gt_n_S' 'h4/thm/transc/EXP_MONO_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_nge' 'h4/thm/rat/RAT_LES_LEQ_'
0. 'coq/Coq_NArith_BinNat_N_neq_succ_0' 'h4/thm/quote/index_distinct_e2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_sub_le_add_r' 'h4/thm/integer/INT_LE_SUB_LADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lnot_0_l' 'h4/thm/extreal/sub_lzero_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_involutive' 'h4/thm/complex/CONJ_CONJ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_l' 'h4/thm/extreal/le_ladd_imp_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_inj_l' 'h4/thm/real/REAL_EQ_RMUL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_le_mono' 'h4/thm/numeral/numeral_lt_4'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_div_small' 'h4/thm/arithmetic/LESS_DIV_EQ_ZERO_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_compare' 'h4/thm/toto/charOrd_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_1' 'h4/thm/integerRing/int_calculate_e13'
0. 'coq/Coq_QArith_QArith_base_Zlt_Qlt' 'h4/thm/integer/INT_LT_CALCULATE_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pred_le_mono' 'h4/thm/transc/EXP_MONO_IMP_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_succ_r' 'h4/thm/complex/COMPLEX_MUL_RNEG_'#@#variant
0. 'coq/Coq_ZArith_Zgcd_alt_fibonacci_pos'#@#variant 'h4/thm/realax/REAL_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_1_l' 'h4/thm/integer/INT_MUL_LZERO_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mod_1_r'#@#variant 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRL'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_b2n_div2'#@#variant 'h4/thm/extreal/extreal_sub_def_e6'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_id' 'h4/thm/arithmetic/MAX_IDEM_'
0. 'coq/Coq_NArith_BinNat_N_min_le_compat_l' 'h4/thm/integer/TINT_LT_ADD_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_0_r' 'h4/thm/extreal/le_infty_tRL'
0. 'coq/Coq_Reals_Ratan_Ropp_div' 'h4/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_Bool_Bool_eqb_negb2' 'h4/thm/real/REAL_ADD_RINV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lcm_eq_0' 'h4/thm/real/REAL_ENTIRE_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_pos'#@#variant 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_clearbit_spec_prime'#@#variant 'h4/thm/frac/frac_sub_def_'
0. 'coq/Coq_Reals_Raxioms_R1_neq_R0' 'h4/thm/toto/cpn_distinct_e2'
0. 'coq/Coq_ZArith_Znat_N2Z_is_nonneg'#@#variant 'h4/thm/frac/FRAC_DNMPOS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_succ_diag_r' 'h4/thm/real/ABS_LE_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_1_l' 'h4/thm/HolSmt/r213_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_le_lt_mono' 'h4/thm/integer/INT_LET_ADD2_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_pos_l'#@#variant 'h4/thm/transc/RPOW_LT_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rlt_le_trans' 'h4/thm/integer/INT_LTE_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_lt_mono_neg_l' 'h4/thm/rat/RAT_LES_LMUL_NEG_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_cancel_l' 'h4/thm/rat/RAT_EQ_LADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_lt_mono_r' 'h4/thm/integer/INT_LT_RADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_le_mono_r' 'h4/thm/hreal/HRAT_LT_RMUL_'
0. 'coq/Coq_QArith_Qminmax_Q_max_le_iff' 'h4/thm/real/REAL_LE_MAX_'
0. 'coq/Coq_NArith_BinNat_N_min_le_iff' 'h4/thm/arithmetic/MIN_LT_0'
0. 'coq/Coq_ZArith_BinInt_Z_mul_eq_0' 'h4/thm/rat/RAT_NO_ZERODIV_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pred_succ' 'h4/thm/bit/LOG2_TWOEXP_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rplus_gt_compat_r' 'h4/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_opp_r' 'h4/thm/integer/INT_SUB_RNEG_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_of_Z' 'h4/thm/ieee/roundmode_BIJ_0'
0. 'coq/Coq_ZArith_BinInt_Zpos_eq_iff' 'h4/thm/patricia_casts/string_to_num_11_'#@#variant
0. 'coq/Coq_Bool_Bool_diff_false_true' 'h4/thm/binary_ieee/rounding_distinct_2'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_lub_iff' 'h4/thm/util_prob/MAX_LE_X_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_sub_distr' 'h4/thm/frac/FRAC_SUB_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_ldiff' 'h4/thm/integer/INT_SUB_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_pos_le'#@#variant 'h4/thm/divides/DIVIDES_LE_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_shuffle3' 'h4/thm/float/REAL_MUL_AC_e2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_refl' 'h4/thm/integer/INT_LE_REFL_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_ge' 'h4/thm/extreal/extreal_lt_eq_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_lt_trans' 'h4/thm/real/REAL_LET_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_lt_mono_pos_l'#@#variant 'h4/thm/transc/RPOW_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_succ_diag_r' 'h4/thm/prim_rec/LESS_SUC_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_lt_mono_r_iff'#@#variant 'h4/thm/real/REAL_LT_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_negb_odd' 'h4/thm/numRing/num_ring_thms_e17'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_succ'#@#variant 'h4/thm/rat/RAT_OF_NUM_e1'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lcm_1_l' 'h4/thm/integer/TINT_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_eq_0_gt_0_cases' 'h4/thm/arithmetic/LESS_0_CASES_'
0. 'coq/Coq_PArith_BinPos_Pos_add_cancel_l' 'h4/thm/hreal/HRAT_EQ_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_nonneg_nonneg' 'h4/thm/arithmetic/LESS_MULT2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_0_l' 'h4/thm/util_prob/lg_def_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_OT_lt_total' 'h4/thm/arithmetic/LESS_CASES_IMP_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_ge_cases' 'h4/thm/integer/INT_LE_TOTAL_'
0. 'coq/Coq_NArith_BinNat_N_le_lteq' 'h4/thm/arithmetic/GREATER_OR_EQ_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_nge' 'h4/thm/HolSmt/r115_'
0. 'coq/Coq_ZArith_BinInt_Z_add_opp_r' 'h4/thm/HolSmt/r131_'#@#variant
0. 'coq/Coq_Reals_Rtrigo_calc_sin_cos_PI4'#@#variant 'h4/thm/numeral/numeral_suc_0'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_log2' 'h4/thm/quote/index_size_def_1'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_succ_lt_mono' 'h4/thm/arithmetic/LESS_MONO_EQ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_pred' 'h4/thm/numeral/numeral_add_0'#@#variant
0. 'coq/Coq_Reals_Rtrigo_calc_sin_cos_PI4'#@#variant 'h4/thm/numRing/num_rewrites_tLLRRR'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_square_spec' 'h4/thm/numeral/iSQR_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_lt' 'h4/thm/real/REAL_OF_NUM_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_lt_mono' 'h4/thm/numeral/numeral_lte_3'
0. 'coq/Coq_Reals_Rtrigo1_PI_neq0' 'h4/thm/toto/cpn_distinct_e2'
0. 'coq/Coq_ZArith_BinInt_Z_mod_1_l'#@#variant 'h4/thm/transc/ONE_RPOW_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_le_iff' 'h4/thm/extreal/le_max_'
0. 'coq/Coq_Arith_PeanoNat_Nat_neq_succ_0' 'h4/thm/num/NOT_SUC_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_eq_0' 'h4/thm/arithmetic/MULT_EQ_0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div_1_r' 'h4/thm/HolSmt/r223_'
0. 'coq/Coq_Reals_Ratan_ps_atan_opp' 'h4/thm/numeral/numeral_distrib_14'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_max_distr_l' 'h4/thm/transc/RPOW_SUB_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_lt_mono_pos_l'#@#variant 'h4/thm/logroot/LT_EXP_ISO_'#@#variant
0. 'coq/Coq_Reals_RIneq_Ropp_mult_distr_r' 'h4/thm/real/REAL_MUL_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_double'#@#variant 'h4/thm/util_prob/neg_lg_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_shiftr_opp_r' 'h4/thm/frac/frac_sub_def_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_move_r' 'h4/thm/integer/INT_EQ_SUB_LADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_gt_lt_iff' 'h4/thm/rat/rat_gre_def_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_lt_iff' 'h4/thm/arithmetic/MIN_LE_0'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_diag' 'h4/thm/real/REAL_DOUBLE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_lub_iff' 'h4/thm/extreal/max_le_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_l' 'h4/thm/integer/INT_LT_LADD_IMP_'
0. 'coq/Coq_NArith_BinNat_N_log2_shiftr' 'h4/thm/real/REAL_SUB_LNEG_'
0. 'coq/Coq_ZArith_BinInt_Z_succ_inj_wd' 'h4/thm/real/REAL_INV_INJ_'
0. 'coq/Coq_ZArith_Znat_Z2Nat_inj_pred' 'h4/thm/toto/num_dt_size_def_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_cancel_l' 'h4/thm/hreal/HRAT_EQ_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_neq' 'h4/thm/real/REAL_LT_IMP_NE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_ngt' 'h4/thm/HolSmt/r115_'
0. 'coq/Coq_Reals_ROrderedType_ROrder_not_ge_lt' 'h4/thm/arithmetic/LESS_CASES_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_refl' 'h4/thm/rat/RAT_LEQ_REF_'
0. 'coq/Coq_NArith_BinNat_N_add_1_r'#@#variant 'h4/thm/arithmetic/PRE_SUB1_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_of_pos' 'h4/thm/ieee/Fraction_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_inj_wd' 'h4/thm/real/REAL_INV_INJ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_div2_double'#@#variant 'h4/thm/transc/ATN_e2'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gt_lt_iff' 'h4/thm/pred_set/COUNT_applied_'
0. 'coq/Coq_ZArith_BinInt_Z_le_add_le_sub_r' 'h4/thm/integer/INT_LT_SUB_LADD_'
0. 'coq/Coq_QArith_QArith_base_Qmult_1_l'#@#variant 'h4/thm/integer/TINT_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_nonneg' 'h4/thm/integral/LT_0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_pos_pos' 'h4/thm/integer/INT_LT_MUL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mod_1_r'#@#variant 'h4/thm/util_prob/logr_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_square_spec' 'h4/thm/real/REAL_DOUBLE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_pos_pred' 'h4/thm/ratRing/rat_ring_thms_e17'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lxor_eq_0_iff' 'h4/thm/arithmetic/ABS_DIFF_EQ_0_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_lteq' 'h4/thm/integer/INT_LE_CALCULATE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftl_1_l'#@#variant 'h4/thm/rat/RAT_SUB_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_nonneg' 'h4/thm/divides/ZERO_LT_PRIMES_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_glb_iff' 'h4/thm/arithmetic/MIN_LT_e1'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_succ_le_mono' 'h4/thm/integerRing/int_rewrites_tLRRRLRRRR'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_sub_le_add_r' 'h4/thm/arithmetic/SUB_LEFT_LESS_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_succ_r' 'h4/thm/real/REAL_NEG_RMUL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_ngt' 'h4/thm/rat/RAT_LEQ_LES_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_1' 'h4/thm/extreal/neg_0_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_gcd_divide_l' 'h4/thm/arithmetic/SUB_LESS_EQ_'
0. 'coq/Coq_NArith_BinNat_N_mul_pos_pos' 'h4/thm/binary_ieee/le2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_le_compat_l' 'h4/thm/realax/REAL_LT_IADD_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_lt_mono_pos_r'#@#variant 'h4/thm/rat/RAT_LES_RMUL_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sub_min_distr_l' 'h4/thm/transc/RPOW_SUB_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_m1_0' 'h4/thm/extreal/thirds_between_tRLR'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftl_opp_r' 'h4/thm/real/real_div_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_0_l' 'h4/thm/hrat/TRAT_MUL_LID_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_cancel_l' 'h4/thm/realax/HREAL_EQ_LADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_eq_0' 'h4/thm/real/REAL_ENTIRE_'#@#variant
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_lt_le' 'h4/thm/hreal/HRAT_LT_ANTISYM_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lcm_diag' 'h4/thm/extreal/max_refl_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_le_mono_l' 'h4/thm/hreal/HRAT_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_diag'#@#variant 'h4/thm/numeral/iDUB_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lnot_0_l' 'h4/thm/extreal/sub_lzero_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_neg_cos' 'h4/thm/transc/COS_PERIODIC_PI_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_0_l'#@#variant 'h4/thm/integral/LE_0_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_1_l'#@#variant 'h4/thm/HolSmt/r129_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_le_ngt' 'h4/thm/HolSmt/r115_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_factor_r' 'h4/thm/integer/INT_DIVIDES_MUL_e1'
0. 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_mult_lt_compat_l'#@#variant 'h4/thm/real/REAL_LE_LMUL_IMP_'#@#variant
0. 'coq/Coq_Arith_Div2_div2_double'#@#variant 'h4/thm/prim_rec/PRE_e1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_pos_neg'#@#variant 'h4/thm/real/REAL_NEG_GE0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_Odd_succ' 'h4/thm/binary_ieee/exp_ge2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_inj_wd' 'h4/thm/real/REAL_EQ_NEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftl_shiftl' 'h4/thm/logroot/EXP_MUL_'
0. 'coq/Coq_QArith_QArith_base_Qplus_comm' 'h4/thm/hrat/TRAT_MUL_SYM_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_add_lt_sub_r' 'h4/thm/integer/INT_LT_ADD_SUB_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_nonpos' 'h4/thm/real/REAL_POS_LE_ZERO_'#@#variant
0. 'coq/Coq_Reals_Rfunctions_Rlt_pow' 'h4/thm/extreal/pow_le_mono_'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_one_neq_zero' 'h4/thm/integer/INT_10_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_max_l' 'h4/thm/integer/INT_DIVIDES_MUL_0'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_le_mono_l' 'h4/thm/integer/INT_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pos_pred_succ' 'h4/thm/ASCIInumbers/toNum_toString_'#@#variant
0. 'coq/Coq_setoid_ring_RealField_Rdef_pow_add' 'h4/thm/complex/COMPLEX_RSCALAR_RMUL_SUB_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_negb_odd' 'h4/thm/util_prob/lg_pow_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_succ_inj_wd' 'h4/thm/toto/num_dt_11_e1'
0. 'coq/Coq_PArith_BinPos_Pos_square_spec' 'h4/thm/real/REAL_DOUBLE_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_1' 'h4/thm/integer/INT_ADD_REDUCE_2'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pred_le_mono' 'h4/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_le_gt_cases' 'h4/thm/real/REAL_LET_TOTAL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_cancel_l' 'h4/thm/real/REAL_EQ_LADD_'
0. 'coq/Coq_ZArith_Znat_N2Z_is_nonneg'#@#variant 'h4/thm/integer/INT_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_odd_sub' 'h4/thm/integer/INT_SUB_'
0. 'coq/Coq_ZArith_Zsqrt_compat_Zsqrt_le'#@#variant 'h4/thm/bit/LOG2_LE_MONO_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_succ_le_mono' 'h4/thm/numeral/numeral_lte_e6'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_sqrt' 'h4/thm/complex/COMPLEX_OF_REAL_NEG_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_opp_r' 'h4/thm/integer/int_sub_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_succ_diag_r' 'h4/thm/real/ABS_LE_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_inv_norm' 'h4/thm/extreal/sqrt_pos_le_'#@#variant
0. 'coq/Coq_ZArith_Znat_Zabs2N_inj_neg' 'h4/thm/ieee/Sign_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div_mul' 'h4/thm/integer/INT_DIV_RMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_eq_mul_0' 'h4/thm/rat/RAT_NO_ZERODIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_succ_r' 'h4/thm/real/REAL_NEG_RMUL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_1_r' 'h4/thm/rat/RAT_ADD_RID_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_ngt' 'h4/thm/extreal/extreal_lt_def_'
0. 'coq/Coq_Reals_Rpower_sinh_arcsinh' 'h4/thm/transc/LN_EXP_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_le' 'h4/thm/real/REAL_OF_NUM_LE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_pos_l'#@#variant 'h4/thm/real/REAL_LE_LMUL_'#@#variant
0. 'coq/Coq_Reals_Rlimit_eps2'#@#variant 'h4/thm/real/REAL_HALF_DOUBLE_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_lt_mono'#@#variant 'h4/thm/real/REAL_LE_MUL2_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_lt_add_r' 'h4/thm/hreal/HRAT_LT_ADDL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ldiff_m1_l'#@#variant 'h4/thm/numeral/texp_help_def_0'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_add_diag_r' 'h4/thm/realax/HREAL_LT_ADDL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_lt_mono_nonneg'#@#variant 'h4/thm/real/REAL_LT_MUL2_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_iff' 'h4/thm/ieee/roundmode_EQ_roundmode_'
0. 'coq/Coq_PArith_BinPos_Pos_lt_add_r' 'h4/thm/extreal/le_max1_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftl_mul_pow2'#@#variant 'h4/thm/frac/frac_sub_def_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_incr_twice_plus_one' 'h4/thm/numeral/iDUB_removal_0'
0. 'coq/Coq_NArith_BinNat_N_eq_mul_1'#@#variant 'h4/thm/arithmetic/MULT_EQ_1_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_no_R0' 'h4/thm/real/REAL_INV_NZ_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_ones_equiv'#@#variant 'h4/thm/numeral/numeral_suc_1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_quot_1_r' 'h4/thm/real/REAL_SUB_RZERO_'
0. 'coq/Coq_Reals_SeqProp_CV_plus' 'h4/thm/seq/SEQ_MUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_lcm_l' 'h4/thm/extreal/le_max1_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_sub_lt' 'h4/thm/arithmetic/LESS_DIV_EQ_ZERO_'
0. 'coq/Coq_PArith_BinPos_Pos_succ_not_1' 'h4/thm/num/NOT_SUC_'
0. 'coq/Coq_NArith_BinNat_N_div2_succ_double' 'h4/thm/transc/ATN_TAN_'
0. 'coq/Coq_Reals_RIneq_Rplus_lt_le_0_compat'#@#variant 'h4/thm/integer/INT_LTE_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_succ_l' 'h4/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gt_lt_iff' 'h4/thm/real/real_ge_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_le_mono' 'h4/thm/bit/TWOEXP_MONO2_'#@#variant
0. 'coq/Coq_Bool_Bool_xorb_true_r' 'h4/thm/arithmetic/ADD1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_succ_inj_wd' 'h4/thm/complex/COMPLEX_EQ_NEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_lt_mono' 'h4/thm/rat/RAT_LES_AINV_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_le_compat_r' 'h4/thm/hrat/TRAT_ADD_WELLDEFINED_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_divide_xO_xO' 'h4/thm/numeral/numeral_distrib_22'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_nonneg_pos'#@#variant 'h4/thm/integer/INT_LET_ADD_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_Nbasic_plusnS' 'h4/thm/complex/COMPLEX_NEG_RDIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_lxor_l' 'h4/thm/complex/COMPLEX_MUL_LNEG_'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_iff' 'h4/thm/DeepSyntax/deep_form_11_6'
0. 'coq/Coq_Arith_Plus_plus_lt_compat_r' 'h4/thm/integer/TINT_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_QArith_Qround_Qfloor_Z' 'h4/thm/string/char_BIJ_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_neq_0_lt_0'#@#variant 'h4/thm/extreal/lt_infty_e6'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_le_mono' 'h4/thm/prim_rec/LESS_MONO_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pred_succ' 'h4/thm/bit/LOG2_TWOEXP_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sub_diag' 'h4/thm/rat/RAT_SUB_ID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_antisym' 'h4/thm/rat/RAT_LEQ_ANTISYM_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_nle' 'h4/thm/integer/int_le_'
0. 'coq/__constr_Coq_Init_Peano_le_0_1' 'h4/thm/rat/RAT_EQUIV_REF_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_mul_l' 'h4/thm/integer/INT_DIVIDES_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_1' 'h4/thm/transc/SIN_0_'
0. 'coq/Coq_ZArith_Znat_positive_N_nat' 'h4/thm/extreal/extreal_of_num_def_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_square_nonneg'#@#variant 'h4/thm/integer/INT_LE_SQUARE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lcm_divide_iff' 'h4/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_neg_neg'#@#variant 'h4/thm/extreal/le_mul_neg_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_lt_mono_pos_l'#@#variant 'h4/thm/logroot/LE_EXP_ISO_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_le_succ_diag_r' 'h4/thm/arithmetic/LESS_EQ_SUC_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_odd_opp' 'h4/thm/complex/MODU_CONJ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftl_1_l'#@#variant 'h4/thm/numeral/numeral_texp_help_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_square_spec' 'h4/thm/arithmetic/TIMES2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_lt_mono' 'h4/thm/transc/EXP_MONO_LE_'
0. 'coq/Coq_NArith_BinNat_N_divide_lcm_l' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_0'
0. 'coq/Coq_PArith_BinPos_Pos_add_cancel_r' 'h4/thm/rat/RAT_EQ_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_refl' 'h4/thm/rat/RAT_EQUIV_REF_'
0. 'coq/Coq_NArith_Ndigits_Ndouble_plus_one_bit0' 'h4/thm/real/POW_MINUS1_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_div2' 'h4/thm/extreal/extreal_sqrt_def_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftr_opp_r' 'h4/thm/integer/int_sub_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_succ_inj_wd' 'h4/thm/integer/INT_EQ_NEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lor_diag' 'h4/thm/real/REAL_MAX_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_inj_wd' 'h4/thm/transc/EXP_INJ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_eq_opp_r' 'h4/thm/integer/INT_NEG_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_inj_wd' 'h4/thm/complex/COMPLEX_EQ_NEG_'#@#variant
0. 'coq/Coq_Reals_Raxioms_R1_neq_R0' 'h4/thm/prelim/ordering_distinct_e2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_inj_wd' 'h4/thm/complex/CONJ_EQ2_'#@#variant
0. 'coq/Coq_Reals_Rpower_sinh_arcsinh' 'h4/thm/string/IMPLODE_EXPLODE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_opp_l' 'h4/thm/real/REAL_MUL_LNEG_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_invc' 'h4/thm/extreal/extreal_inv_def_e2'
0. 'coq/Coq_Reals_Rtrigo_calc_sin_lb_ge_0'#@#variant 'h4/thm/transc/COS_POS_PI2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_add' 'h4/thm/real/REAL_SUB_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_lt_iff' 'h4/thm/real/REAL_MIN_LE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_lt_mono_r_iff'#@#variant 'h4/thm/int_arith/justify_divides_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_sin_neg' 'h4/thm/transc/TAN_NEG_'
0. 'coq/Coq_Reals_Raxioms_Rmult_lt_compat_l'#@#variant 'h4/thm/logroot/ROOT_LE_MONO_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lt_add_lt_sub_r' 'h4/thm/rat/RAT_RSUB_LES_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_le_mono' 'h4/thm/integer/TINT_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_glb_lt_iff' 'h4/thm/arithmetic/MIN_LT_e1'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_max_r' 'h4/thm/integer/INT_DIVIDES_MUL_e1'
0. 'coq/Coq_PArith_Pnat_Nat2Pos_inj_sub' 'h4/thm/integer/INT_DIV_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sub_succ' 'h4/thm/complex/COMPLEX_NEG_MUL2_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_cancel_r' 'h4/thm/complex/COMPLEX_EQ_RADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_asymm' 'h4/thm/string/string_lt_antisym_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pow_le_mono_r_iff' 'h4/thm/int_arith/justify_divides_'
0. 'coq/Coq_Numbers_Cyclic_ZModulo_ZModulo_Ptail_pos'#@#variant 'h4/thm/float/twogz_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_eq_le_incl' 'h4/thm/integer/TINT_EQ_AP_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mod_1_r'#@#variant 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRL'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_le_mono' 'h4/thm/prim_rec/LESS_MONO_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_total' 'h4/thm/real/REAL_LT_TOTAL_'
0. 'coq/Coq_ZArith_Zdiv_div_Zdiv' 'h4/thm/integer/INT_QUOT_CALCULATE_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_Odd_succ' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRL'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_le_compat_l' 'h4/thm/real/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_nonneg' 'h4/thm/transc/ATN_0'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_1_r' 'h4/thm/rat/RAT_ADD_RID_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_le_mono_l' 'h4/thm/realax/HREAL_LT_LADD_'
0. 'coq/Coq_Bool_Bool_negb_involutive' 'h4/thm/integer/INT_QUOT_CALCULATE_e4'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pred_le_mono' 'h4/thm/transc/EXP_MONO_IMP_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_add_r' 'h4/thm/extreal/le_max1_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_0_l' 'h4/thm/extreal/le_infty_tLL'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_eq_opp_l' 'h4/thm/integer/INT_NEG_EQ_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_eq_0' 'h4/thm/arithmetic/MULT_EQ_0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_le_mono_r' 'h4/thm/rat/RAT_LES_RADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_nlt_ge' 'h4/thm/real/REAL_NOT_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_nonneg' 'h4/thm/transc/ATN_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_0_sub'#@#variant 'h4/thm/arithmetic/SUB_LESS_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_testbit_even_0'#@#variant 'h4/thm/toto/qk_numeralOrd_4'
0. 'coq/Coq_ZArith_Zorder_not_Zeq' 'h4/thm/rat/RAT_LES_TOTAL_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_divide_lcm_l' 'h4/thm/real/REAL_LE_MAX1_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lnot_0_l' 'h4/thm/HolSmt/r129_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_eq_mul_1'#@#variant 'h4/thm/arithmetic/MULT_EQ_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_quot_1_r' 'h4/thm/HolSmt/r223_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_nge' 'h4/thm/arithmetic/NOT_LESS_EQUAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_eq_opp_r' 'h4/thm/complex/CONJ_EQ_'#@#variant
0. 'coq/Coq_QArith_Qreals_Q2R_opp' 'h4/thm/rat/RAT_AINV_CALCULATE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_inj_wd' 'h4/thm/complex/CONJ_EQ2_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_divide_mul_l' 'h4/thm/arithmetic/LESS_IMP_LESS_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_add_lt_sub_r' 'h4/thm/real/REAL_LE_SUB_RADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_sub_le' 'h4/thm/arithmetic/LESS_DIV_EQ_ZERO_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_succ_lt_mono' 'h4/thm/integerRing/int_rewrites_tRRRRRRLRRRR'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_ones_equiv'#@#variant 'h4/thm/numRing/num_rewrites_tLRLRR'
0. 'coq/Coq_ZArith_BinInt_Z_pow_0_l' 'h4/thm/arithmetic/ZERO_MOD_'
0. 'coq/Coq_ZArith_BinInt_Z_lnot_lor' 'h4/thm/complex/COMPLEX_EXP_ADD_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div_same'#@#variant 'h4/thm/integer/INT_DIV_ID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mod_1_r'#@#variant 'h4/thm/arithmetic/EXP_0'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_succ_r' 'h4/thm/complex/COMPLEX_NEG_RMUL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_move_0_r' 'h4/thm/integer/INT_LNEG_UNIQ_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_mul_xO_r' 'h4/thm/complex/COMPLEX_NEG_RMUL_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rmin_Rgt' 'h4/thm/util_prob/MAX_LE_X_'
0. 'coq/Coq_Init_Peano_O_S' 'h4/thm/toto/num_dt_distinct_1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_id' 'h4/thm/arithmetic/MIN_IDEM_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_pos_nonneg'#@#variant 'h4/thm/real/REAL_LTE_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_le_mono_r' 'h4/thm/logroot/ROOT_LE_MONO_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_quot_1_r' 'h4/thm/rat/RAT_SUB_RID_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_opp_l' 'h4/thm/integer/INT_DIVIDES_NEG_e1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ldiff_m1_r'#@#variant 'h4/thm/arithmetic/MOD_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_divide_mono_r' 'h4/thm/hrat/TRAT_MUL_WELLDEFINED_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_sub_assoc' 'h4/thm/arithmetic/LESS_EQ_ADD_SUB_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_lt_mono_l' 'h4/thm/realax/HREAL_LT_LADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_move_r' 'h4/thm/real/REAL_EQ_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_le_compat_r' 'h4/thm/arithmetic/LESS_MONO_MULT_'
0. 'coq/Coq_Reals_Rminmax_R_max_lub_iff' 'h4/thm/util_prob/MAX_LE_X_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lcm_eq_0' 'h4/thm/integer/INT_ENTIRE_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_lt_lin'#@#variant 'h4/thm/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_sub_lt_add_l' 'h4/thm/arithmetic/SUB_RIGHT_LESS_EQ_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_incr_twice' 'h4/thm/numeral/numeral_suc_1'
0. 'coq/Coq_Arith_Max_le_max_l' 'h4/thm/arithmetic/LESS_EQ_ADD_'
0. 'coq/Coq_Reals_RIneq_Rlt_0_1' 'h4/thm/extreal/lt_infty_2'
0. 'coq/Coq_NArith_Ndigits_Nless_def_4' 'h4/thm/toto/num_dtOrd_5'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_even_1' 'h4/thm/ieee/Plus_infinity_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_le_mono_r' 'h4/thm/hreal/HRAT_LT_RADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_le_mono' 'h4/thm/divides/LT_PRIMES_'
0. 'coq/Coq_Reals_Rtrigo_calc_sin_cos_PI4'#@#variant 'h4/thm/numRing/num_rewrites_tLLRR'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_incr_twice_plus_one' 'h4/thm/numRing/num_rewrites_tRRLRRR'
0. 'coq/Coq_QArith_QArith_base_Qinv_le_0_compat'#@#variant 'h4/thm/transc/SQRT_POS_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_le_mono_l' 'h4/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_1_r' 'h4/thm/integer/INT_MUL_REDUCE_0'
0. 'coq/Coq_omega_OmegaLemmas_Zred_factor0' 'h4/thm/integer/INT_ADD_REDUCE_1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_lxor_r' 'h4/thm/complex/COMPLEX_MUL_RNEG_'#@#variant
0. 'coq/Coq_NArith_Ndigits_Nless_def_3' 'h4/thm/toto/num_dtOrd_5'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_pos_l'#@#variant 'h4/thm/logroot/LT_EXP_ISO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div_0_l' 'h4/thm/integer/INT_REM0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftl_opp_r' 'h4/thm/rat/RAT_DIV_MULMINV_'
0. 'coq/Coq_Reals_Ratan_ps_atan_opp' 'h4/thm/complex/CONJ_NEG_'#@#variant
0. 'coq/Coq_NArith_Ndist_ni_min_O_l' 'h4/thm/rat/RAT_MUL_LZERO_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_eq_opp_l' 'h4/thm/complex/CONJ_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_lt_mono_pos_r'#@#variant 'h4/thm/logroot/EXP_LE_ISO_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_iff' 'h4/thm/binary_ieee/float_compare2num_11_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_ge_le_iff' 'h4/thm/HolSmt/r103_'
0. 'coq/Coq_QArith_QOrderedType_QOrder_eq_refl' 'h4/thm/poly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_l' 'h4/thm/real/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Arith_PeanoNat_Nat_max_le_iff' 'h4/thm/arithmetic/MAX_LE_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_move_r' 'h4/thm/complex/COMPLEX_EQ_SUB_LADD_'#@#variant
0. 'coq/Coq_QArith_Qreduction_Qred_opp' 'h4/thm/numeral/numeral_distrib_16'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lcm_divide_iff' 'h4/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_Even_succ' 'h4/thm/numeral/numeral_distrib_21'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lcm_1_l'#@#variant 'h4/thm/numeral/numeral_texp_help_0'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_compare_xI_xI' 'h4/thm/toto/qk_numeralOrd_5'
0. 'coq/Coq_Reals_SeqProp_CV_plus' 'h4/thm/seq/SEQ_SUB_'
0. 'coq/Coq_Reals_Rbasic_fun_abs_IZR' 'h4/thm/DeepSyntax/deep_form_size_def_2'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_id' 'h4/thm/ieee/float_tybij_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_antisym' 'h4/thm/arithmetic/LESS_EQUAL_ANTISYM_'
0. 'coq/Coq_QArith_Qcanon_Qclt_not_eq' 'h4/thm/prim_rec/NOT_LESS_EQ_'
0. 'coq/Coq_Lists_List_map_length' 'h4/thm/list/LENGTH_MAP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_le_mono' 'h4/thm/integerRing/int_rewrites_tLRRRLRRR'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_refl' 'h4/thm/poly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_id' 'h4/thm/arithmetic/MIN_IDEM_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_compare_xI_xI' 'h4/thm/toto/numeralOrd_6'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_inj' 'h4/thm/divides/PRIMES_11_'
0. 'coq/Coq_Arith_PeanoNat_Nat_double_twice'#@#variant 'h4/thm/real/REAL_INV_1OVER_'#@#variant
0. 'coq/Coq_PArith_Pnat_SuccNat2Pos_inj_iff' 'h4/thm/ieee/ccode2num_11_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_nonneg_l'#@#variant 'h4/thm/extreal/le_lmul_imp_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lxor_m1_l'#@#variant 'h4/thm/HolSmt/r128_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_diag' 'h4/thm/HolSmt/r216_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_log2_double'#@#variant 'h4/thm/util_prob/neg_lg_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_1' 'h4/thm/numeral/numeral_pre_1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_pred_r' 'h4/thm/integer/INT_MUL_CALCULATE_2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_inj_wd' 'h4/thm/numeral/numeral_eq_e7'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_cancel_r' 'h4/thm/arithmetic/EQ_MONO_ADD_EQ_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_mod' 'h4/thm/integer/INT_DIV_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_nle_gt' 'h4/thm/integer/INT_NOT_LE_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_glb_lt' 'h4/thm/divides/DIVIDES_SUB_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_div2' 'h4/thm/quote/index_size_def_1'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_glb_iff' 'h4/thm/arithmetic/MIN_LT_e1'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_of_Qc' 'h4/thm/patricia_casts/num_to_string_string_to_num_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_sub'#@#variant 'h4/thm/DeepSyntax/deep_form_size_def_0'#@#variant
0. 'coq/Coq_QArith_Qreduction_Qred_comp' 'h4/thm/prim_rec/LESS_MONO_'
0. 'coq/Coq_ZArith_BinInt_Z_min_le_compat_r' 'h4/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_testbit_even_0'#@#variant 'h4/thm/toto/numeralOrd_4'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_gt_cases' 'h4/thm/real/REAL_LET_TOTAL_'
0. 'coq/Coq_Reals_RIneq_Rplus_gt_compat_r' 'h4/thm/hrat/TRAT_ADD_WELLDEFINED_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_le_mono_l' 'h4/thm/real/REAL_LE_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lcm_1_l' 'h4/thm/integer/INT_SUB_REDUCE_1'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lnot_ones' 'h4/thm/hrat/HRAT_MUL_LINV_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_succ_r' 'h4/thm/arithmetic/ADD_CLAUSES_e3'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_lt_mono_r' 'h4/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_Reals_RIneq_Rgt_irrefl' 'h4/thm/hreal/HRAT_LT_REFL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_nlt_ge' 'h4/thm/arithmetic/NOT_LESS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_0_iff' 'h4/thm/real/REAL_NEG_EQ0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lcm_1_r' 'h4/thm/extreal/add_rzero_'
0. 'coq/Coq_QArith_QArith_base_Qmult_lt_l'#@#variant 'h4/thm/transc/RPOW_LT_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_setbit_spec_prime'#@#variant 'h4/thm/real/real_sub_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_compare_succ' 'h4/thm/toto/num_dtOrd_7'
0. 'coq/Coq_QArith_Qminmax_Q_max_le_compat_r' 'h4/thm/hrat/TRAT_MUL_WELLDEFINED_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_sub_diag' 'h4/thm/arithmetic/ABS_DIFF_EQS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_le_mono_r_iff'#@#variant 'h4/thm/transc/RPOW_LE_'#@#variant
0. 'coq/Coq_Reals_RIneq_Ropp_div' 'h4/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_invc' 'h4/thm/quote/index_size_def_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lxor_m1_l'#@#variant 'h4/thm/integer/INT_SUB_REDUCE_1'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lxor_lnot_lnot' 'h4/thm/arithmetic/ABS_DIFF_ADD_SAME_'
0. 'coq/Coq_PArith_BinPos_Pos_pred_of_succ_nat' 'h4/thm/frac/frac_sgn_def_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_nlt' 'h4/thm/rat/RAT_LES_LEQ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_lteq' 'h4/thm/string/string_le_def_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_inv_normc' 'h4/thm/extreal/extreal_exp_def_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_nonneg_l'#@#variant 'h4/thm/real/REAL_LT_LMUL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_pos_neg'#@#variant 'h4/thm/extreal/mul_le_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_square' 'h4/thm/extreal/extreal_sqrt_def_0'
0. 'coq/Coq_NArith_BinNat_N_testbit_even_0'#@#variant 'h4/thm/toto/num_dtOrd_3'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_double_inj' 'h4/thm/num/INV_SUC_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_max_l' 'h4/thm/real/REAL_LE_MAX1_'
0. 'coq/Coq_NArith_BinNat_N_gcd_divide_iff' 'h4/thm/integral/REAL_LT_MIN_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pos_pred_succ' 'h4/thm/patricia_casts/num_to_string_string_to_num_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_lub_iff' 'h4/thm/util_prob/MAX_LE_X_'
0. 'coq/Coq_ZArith_Zquot_Zquot_opp_l' 'h4/thm/complex/COMPLEX_NEG_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_lt_mono_r' 'h4/thm/integer/INT_LE_RADD_'
0. 'coq/Coq_ZArith_Znat_N_nat_Z' 'h4/thm/realax/real_of_hreal_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_1_r' 'h4/thm/integer/INT_ADD_RID_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ldiff_land' 'h4/thm/HolSmt/r224_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_gcd_divide_r' 'h4/thm/extreal/min_le2_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_1' 'h4/thm/numeral_bit/NUMERAL_iDIV2_1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_inj_wd' 'h4/thm/numRing/num_rewrites_tLRRRRRRLR'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_0_discr' 'h4/thm/num/NOT_SUC_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_eq_add_0' 'h4/thm/arithmetic/MULT_EQ_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_cancel_l' 'h4/thm/real/REAL_EQ_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_opp_r' 'h4/thm/real/REAL_MUL_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_nle_gt' 'h4/thm/rat/RAT_LEQ_LES_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_1_l' 'h4/thm/HolSmt/r128_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_PI_neq0' 'h4/thm/ieee/ccode_distinct_e5'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_lt_mono_r' 'h4/thm/arithmetic/LE_ADD_RCANCEL_'
0. 'coq/Coq_ZArith_BinInt_Z_le_sub_le_add_l' 'h4/thm/arithmetic/SUB_RIGHT_LESS_EQ_'
0. 'coq/Coq_ZArith_Zlogarithm_log_sup_correct1'#@#variant 'h4/thm/real/REAL_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_lcm_l' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_0'
0. 'coq/Coq_ZArith_BinInt_Zplus_succ_r_reverse' 'h4/thm/integer/INT_NEG_RMUL_'
0. 'coq/Coq_Reals_RIneq_Rlt_irrefl' 'h4/thm/realax/HREAL_LT_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lcm_eq_0' 'h4/thm/extreal/entire_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_mul_r' 'h4/thm/arithmetic/SUB_PLUS_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_sub_le_add_r' 'h4/thm/integer/INT_LE_SUB_LADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_neq' 'h4/thm/real/REAL_LT_LE_'
0. 'coq/Coq_Reals_Rtrigo_calc_tan_PI3'#@#variant 'h4/thm/sptree/lrnext_thm_2'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_cancel_l' 'h4/thm/arithmetic/EQ_ADD_LCANCEL_'
0. 'coq/Coq_NArith_BinNat_N_mul_pos_cancel_r'#@#variant 'h4/thm/real/REAL_LT_RDIV_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_quot_pos'#@#variant 'h4/thm/util_prob/REAL_LE_LT_MUL_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_min_le_compat_l' 'h4/thm/real/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_le_mono' 'h4/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_pos_nonneg'#@#variant 'h4/thm/integer/INT_LTE_ADD_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_divide_1_l'#@#variant 'h4/thm/integral/LE_0_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_irrefl' 'h4/thm/realax/HREAL_LT_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_lt_mono'#@#variant 'h4/thm/integer/INT_LT_MUL2_'#@#variant
0. 'coq/__constr_Coq_Init_Peano_le_0_1' 'h4/thm/integer/TINT_EQ_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_ngt' 'h4/thm/arithmetic/NOT_LESS_EQUAL_'
0. 'coq/Coq_ZArith_BinInt_Z2Pos_inj_sqrt' 'h4/thm/extreal/extreal_abs_def_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_setbit_spec_prime'#@#variant 'h4/thm/integer/int_sub_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_id' 'h4/thm/extreal/max_refl_'
0. 'coq/Coq_ZArith_Zorder_Zlt_0_le_0_pred'#@#variant 'h4/thm/transc/EXP_LT_1_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_opp_l' 'h4/thm/frac/FRAC_AINV_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_cancel_l' 'h4/thm/hreal/HRAT_EQ_LMUL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div_mul' 'h4/thm/real/REAL_DIV_RMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_lcm_eq_r' 'h4/thm/real/REAL_MAX_ALT_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_0_iff' 'h4/thm/integer/INT_REM_CALCULATE_e4'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_asymm' 'h4/thm/integer/INT_LT_GT_'
0. 'coq/Coq_ZArith_Zpower_two_p_equiv'#@#variant 'h4/thm/real/REAL_NEG_MINUS1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftr_div_pow2'#@#variant 'h4/thm/complex/complex_sub_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_lt_le_mono' 'h4/thm/real/REAL_LTE_ADD2_'
0. 'coq/Coq_Reals_RIneq_Rgt_not_eq' 'h4/thm/hreal/HRAT_LT_NE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sub_max_distr_l' 'h4/thm/arithmetic/EXP_ADD_'
0. 'coq/Coq_Arith_Plus_plus_lt_compat_r' 'h4/thm/extreal/le_radd_imp_'
0. 'coq/Coq_Bool_Bool_andb_negb_r' 'h4/thm/hreal/HRAT_MUL_RINV_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sub_1_r'#@#variant 'h4/thm/arithmetic/DIV2_def_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rle_min_compat_r' 'h4/thm/integer/TINT_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_succ' 'h4/thm/numeral/DIV2_BIT1_'
0. 'coq/Coq_Init_Peano_le_n_S' 'h4/thm/prim_rec/LESS_MONO_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_succ_le_mono' 'h4/thm/transc/EXP_MONO_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lor_eq_0_iff' 'h4/thm/arithmetic/MULT_EQ_1_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_div_1_r' 'h4/thm/rat/RAT_ADD_RID_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_square_spec' 'h4/thm/real/REAL_DOUBLE_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_opp_r' 'h4/thm/frac/FRAC_AINV_RMUL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_1_l' 'h4/thm/integer/INT_MUL_REDUCE_1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_le_iff' 'h4/thm/real/REAL_MIN_LE_'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_pred' 'h4/thm/rat/RAT_AINV_CALCULATE_'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_E_bits_lt_antirefl' 'h4/thm/hreal/HRAT_LT_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_gcd_greatest' 'h4/thm/divides/DIVIDES_ADD_1_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sub_succ' 'h4/thm/extreal/neg_mul2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftl_1_l'#@#variant 'h4/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_inj_wd' 'h4/thm/numRing/num_rewrites_tRRRRRRRLR'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_iff' 'h4/thm/complex/COMPLEX_OF_REAL_EQ_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lor_eq_0_l' 'h4/thm/transc/RPOW_NZ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_mul_r' 'h4/thm/arithmetic/SUB_RIGHT_SUB_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_0_r' 'h4/thm/divides/DIVIDES_ONE_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_pos_neg'#@#variant 'h4/thm/integer/INT_NEG_GE0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_neq_0_succ' 'h4/thm/toto/num_dt_distinct_1'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_Odd_succ' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRL'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_1' 'h4/thm/extreal/neg_0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_total' 'h4/thm/rat/RAT_LES_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lnot_0_l' 'h4/thm/numeral/texp_help_def_0'
0. 'coq/Coq_ZArith_Znat_positive_nat_Z' 'h4/thm/rat/rat_sgn_def_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_lt_m1_0' 'h4/thm/real/REAL_HALF_BETWEEN_tRL'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_le_lin'#@#variant 'h4/thm/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_mul_cancel_l' 'h4/thm/complex/COMPLEX_EQ_LADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_odd_opp' 'h4/thm/complex/MODU_NEG_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lcm_divide_iff' 'h4/thm/arithmetic/MAX_LE_e1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_0_sub' 'h4/thm/arithmetic/SUB_LESS_0_'
0. 'coq/Coq_QArith_QArith_base_Qmult_le_r'#@#variant 'h4/thm/intExtension/INT_LT_RMUL_EXP_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_succ_lt_mono' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Arith_PeanoNat_Nat_compare_succ' 'h4/thm/toto/num_dtOrd_e8'
0. 'coq/Coq_ZArith_BinInt_Z_lor_diag' 'h4/thm/gcd/GCD_REF_'
0. 'coq/Coq_Reals_Rtrigo_calc_Rgt_3PI2_0'#@#variant 'h4/thm/real/REAL_THIRDS_BETWEEN_tLL'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_involutive' 'h4/thm/complex/COMPLEX_INV_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_1_r' 'h4/thm/rat/RAT_SUB_RID_'
0. 'coq/Coq_Reals_Rminmax_R_min_le_iff' 'h4/thm/real/REAL_MIN_LE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ldiff_land' 'h4/thm/real/real_div_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_add' 'h4/thm/arithmetic/ADD_SUB_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_1_l' 'h4/thm/HolSmt/r128_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_min_le_compat_r' 'h4/thm/arithmetic/LESS_MONO_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lcm_diag' 'h4/thm/numeral/iSQR_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_divide_mono_l' 'h4/thm/real/REAL_LT_IADD_'
0. 'coq/Coq_ZArith_BinInt_Z_add_lt_mono_r' 'h4/thm/integer/INT_LE_RADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_lt_mono' 'h4/thm/arithmetic/LESS_EQ_MONO_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_sub_le_add_l' 'h4/thm/arithmetic/SUB_RIGHT_LESS_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lcm_1_l'#@#variant 'h4/thm/extreal/sub_lzero_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftl_opp_r' 'h4/thm/frac/frac_sub_def_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pred_sub'#@#variant 'h4/thm/arithmetic/DIV2_def_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ge_le_iff' 'h4/thm/arithmetic/GREATER_DEF_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_nle_gt' 'h4/thm/integer/int_le_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_lt_mono_r_iff'#@#variant 'h4/thm/real/REAL_LE_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_cancel_r' 'h4/thm/real/REAL_EQ_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_refl' 'h4/thm/real/REAL_LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_ngt' 'h4/thm/integer/int_le_'
0. 'coq/Coq_Bool_Bool_diff_true_false' 'h4/thm/binary_ieee/rounding_distinct_0'
0. 'coq/Coq_Arith_PeanoNat_Nat_eq_mul_0' 'h4/thm/extreal/entire_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_succ_lt_mono' 'h4/thm/numeral/numeral_lt_3'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_neq_succ_0' 'h4/thm/intto/BIT1_nz_'
0. 'coq/Coq_NArith_BinNat_N_log2_nonneg' 'h4/thm/integral/LT_0_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_even_sub' 'h4/thm/float/REAL_OF_NUM_SUB_'
0. 'coq/Coq_NArith_BinNat_N_pow_inj_l' 'h4/thm/integer/INT_EQ_RMUL_IMP_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_min_id' 'h4/thm/arithmetic/MAX_IDEM_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_add_lt_sub_r' 'h4/thm/arithmetic/SUB_LEFT_LESS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pos_pred_succ' 'h4/thm/frac/frac_bij_0'#@#variant
0. 'coq/Coq_NArith_Nnat_Nat2N_id' 'h4/thm/ieee/ccode_BIJ_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_opp' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRL'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_neq_0_lt_0'#@#variant 'h4/thm/arithmetic/NOT_ZERO_LT_ZERO_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_log2' 'h4/thm/extreal/extreal_ainv_def_e2'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_succ_l' 'h4/thm/arithmetic/PRE_SUB_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_land_diag' 'h4/thm/extreal/min_refl_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_0_r'#@#variant 'h4/thm/arithmetic/MOD_ONE_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_2' 'h4/thm/real/REAL_THIRDS_BETWEEN_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_lcm_l' 'h4/thm/extreal/le_max1_'
0. 'coq/Coq_Reals_RIneq_Rge_not_gt' 'h4/thm/real/REAL_LET_ANTISYM_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_pos_r'#@#variant 'h4/thm/intExtension/INT_GT_RMUL_EXP_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_divide_Zpos' 'h4/thm/real/REAL_LE_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_1' 'h4/thm/real/REAL_THIRDS_BETWEEN_2'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_trichotomy' 'h4/thm/string/string_lt_cases_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_is_nonneg'#@#variant 'h4/thm/binary_ieee/zero_le_twopow_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftl_opp_r' 'h4/thm/integer/INT_SUB_CALCULATE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_opp_r' 'h4/thm/integer/INT_SUB_CALCULATE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_lt_mono_pos_r'#@#variant 'h4/thm/logroot/EXP_LT_ISO_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_of_Z' 'h4/thm/string/CHR_ORD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_divide_cancel_r' 'h4/thm/int_arith/INT_DIVIDES_LRMUL_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rplus_lt_compat_r' 'h4/thm/extreal/le_radd_imp_'
0. 'coq/Coq_ZArith_BinInt_Z_land_nonneg' 'h4/thm/arithmetic/ZERO_LESS_ADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_square_spec' 'h4/thm/numeral/iSQR_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_1_l'#@#variant 'h4/thm/numeral/numeral_texp_help_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_move_r' 'h4/thm/real/REAL_EQ_SUB_RADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_cancel_l' 'h4/thm/realax/HREAL_EQ_LADD_'
0. 'coq/Coq_MMaps_MMapPositive_PositiveMap_empty_spec' 'h4/thm/sptree/lookup_def_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lor_lnot_diag'#@#variant 'h4/thm/hreal/HRAT_MUL_RINV_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_0_r'#@#variant 'h4/thm/numeral/numeral_distrib_11'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_succ_inj_wd' 'h4/thm/complex/COMPLEX_EQ_NEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_le_mono' 'h4/thm/prim_rec/LESS_MONO_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_irrefl' 'h4/thm/real/REAL_LT_REFL_'
0. 'coq/Coq_Init_Peano_pred_Sn' 'h4/thm/numpair/invtri_linverse_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_divide_mono_l' 'h4/thm/extreal/le_ladd_imp_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_incr_twice_plus_one' 'h4/thm/sptree/lrnext_thm_e4'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_lteq' 'h4/thm/string/string_le_def_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_mul_l' 'h4/thm/integer/INT_DIVIDES_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_add_diag_r' 'h4/thm/realax/HREAL_LT_ADDL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_divide' 'h4/thm/extreal/extreal_lt_eq_'
0. 'coq/Coq_ZArith_Znat_positive_nat_N' 'h4/thm/rat/rat_sgn_def_'
0. 'coq/Coq_NArith_BinNat_N_pow_1_l' 'h4/thm/real/REAL_MUL_LZERO_'
0. 'coq/Coq_NArith_BinNat_N_add_pos_nonneg'#@#variant 'h4/thm/util_prob/REAL_LE_LT_MUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_pred' 'h4/thm/numeral/numeral_iisuc_e2'
0. 'coq/Coq_Reals_RIneq_Rmult_le_reg_l'#@#variant 'h4/thm/float/REAL_LT_LCANCEL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lor_diag' 'h4/thm/arithmetic/MIN_IDEM_'
0. 'coq/Coq_Reals_RIneq_cond_nonzero' 'h4/thm/extreal/num_not_infty_e1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftl_1_l'#@#variant 'h4/thm/numeral/texp_help_def_0'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_square_nonneg'#@#variant 'h4/thm/integer/INT_LE_SQUARE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_0_iff' 'h4/thm/integer/INT_ABS_EQ0_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_lcm_l' 'h4/thm/integer/INT_DIVIDES_MUL_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_pos_pos' 'h4/thm/binary_ieee/le2_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lt_sub_lt_add_r' 'h4/thm/integer/INT_LT_SUB_LADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_lor'#@#variant 'h4/thm/transc/LN_MUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_le_mono_r' 'h4/thm/arithmetic/LESS_EQ_MONO_ADD_EQ_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_le_mono_r' 'h4/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_PArith_BinPos_Pos_lt_add_diag_r' 'h4/thm/realax/HREAL_LT_ADDL_'
0. 'coq/Coq_PArith_BinPos_Pos_add_lt_mono_l' 'h4/thm/integer/LT_LADD_'
0. 'coq/Coq_PArith_Pnat_Nat2Pos_inj_pred' 'h4/thm/extreal/extreal_abs_def_0'
0. 'coq/Coq_ZArith_BinInt_Z_divide_Zpos' 'h4/thm/integer/INT_LT_CALCULATE_0'
0. 'coq/Coq_ZArith_BinInt_Z_nle_gt' 'h4/thm/arithmetic/NOT_LESS_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_lt_mono_l' 'h4/thm/arithmetic/ADD_MONO_LESS_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_0_r' 'h4/thm/extreal/le_infty_tRL'
0. 'coq/Coq_ZArith_BinInt_Z_gcd_divide_iff' 'h4/thm/integral/REAL_LT_MIN_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_pos_le'#@#variant 'h4/thm/divides/DIVIDES_LE_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_inj_wd' 'h4/thm/DeepSyntax/deep_form_11_2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_inj_wd' 'h4/thm/complex/COMPLEX_EQ_NEG_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_ldiff_ldiff_l' 'h4/thm/logroot/EXP_MUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_inj_wd' 'h4/thm/complex/CONJ_EQ2_'#@#variant
0. 'coq/Coq_ZArith_Zeven_Zodd_plus_Zeven' 'h4/thm/extreal/let_mul_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_div_str_pos' 'h4/thm/bit/DIV_GT0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_eq_add_0' 'h4/thm/gcd/GCD_EQ_0_'
0. 'coq/Coq_Bool_Bool_xorb_negb_negb' 'h4/thm/complex/COMPLEX_NEG_MUL2_'#@#variant
0. 'coq/Coq_Reals_R_Ifp_Int_part_INR' 'h4/thm/complex/complex_of_num_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_succ_inj' 'h4/thm/num/INV_SUC_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_quot_1_r' 'h4/thm/HolSmt/r127_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_le_incl' 'h4/thm/arithmetic/LESS_IMP_LESS_OR_EQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_nle_gt' 'h4/thm/HolSmt/r115_'
0. 'coq/Coq_NArith_Nnat_N2Nat_id' 'h4/thm/frac/frac_bij_0'#@#variant
0. 'coq/Coq_QArith_Qround_Qfloor_Z' 'h4/thm/string_num/s2n_n2s_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pred_div2_up' 'h4/thm/complex/COMPLEX_OF_REAL_INV_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_le_sub_l' 'h4/thm/extreal/min_le1_'
0. 'coq/Coq_NArith_BinNat_N_add_le_mono_r' 'h4/thm/integer/INT_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_r' 'h4/thm/real/REAL_MIN_ALT_e1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_pred_r' 'h4/thm/integer/INT_MUL_CALCULATE_2'
0. 'coq/Coq_NArith_BinNat_N_sub_succ' 'h4/thm/complex/COMPLEX_NEG_MUL2_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_id' 'h4/thm/gcd/GCD_REF_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_succ_not_1' 'h4/thm/bit/TWOEXP_NOT_ZERO_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qplus_lt_le_compat' 'h4/thm/real/REAL_LTE_ADD2_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_divide_mono_r' 'h4/thm/integer/TINT_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_minus_one_neq_zero'#@#variant 'h4/thm/ieee/ccode_distinct_1'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_sub_le_add_r' 'h4/thm/arithmetic/SUB_LEFT_LESS_'
0. 'coq/Coq_NArith_BinNat_N_div2_double' 'h4/thm/prim_rec/PRE_e1'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_refl' 'h4/thm/extreal/le_refl_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_add_le_sub_r' 'h4/thm/real/REAL_LE_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div_1_r' 'h4/thm/integer/INT_ADD_RID_'
0. 'coq/Coq_QArith_Qminmax_Q_max_le_iff' 'h4/thm/arithmetic/MAX_LT_0'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_inv_normc' 'h4/thm/toto/num_dt_size_def_e2'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_le_refl' 'h4/thm/arithmetic/LESS_EQ_REFL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_le_mono' 'h4/thm/real/REAL_POS_MONO_'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_minus_one_neq_zero'#@#variant 'h4/thm/toto/cpn_distinct_0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_irrefl' 'h4/thm/realax/HREAL_LT_REFL_'
0. 'coq/Coq_PArith_BinPos_Pos_compare_xI_xI' 'h4/thm/quote/index_compare_def_5'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_phi' 'h4/thm/prelim/num2ordering_ordering2num_'
0. 'coq/Coq_Arith_PeanoNat_Nat_clearbit_spec_prime'#@#variant 'h4/thm/real/REAL_SUB_RNEG_'
0. 'coq/Coq_NArith_BinNat_N_mul_divide_mono_r' 'h4/thm/hrat/TRAT_MUL_WELLDEFINED_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_min_glb_lt' 'h4/thm/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_nonneg'#@#variant 'h4/thm/real/REAL_LE_MUL2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lcm_1_r' 'h4/thm/HolSmt/r214_'
0. 'coq/Coq_QArith_QArith_base_Qlt_le_weak' 'h4/thm/extreal/lt_imp_le_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_rem_1_r'#@#variant 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRL'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftl_opp_r' 'h4/thm/complex/COMPLEX_SUB_RNEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_eq_0' 'h4/thm/integer/INT_ENTIRE_'#@#variant
0. 'coq/Coq_QArith_Qcanon_Q_apart_0_1'#@#variant 'h4/thm/prelim/ordering_distinct_0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lor_diag' 'h4/thm/arithmetic/MIN_IDEM_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lxor_nilpotent' 'h4/thm/rat/RAT_SUB_ID_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zle_lt_succ' 'h4/thm/arithmetic/LESS_EQ_IMP_LESS_SUC_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_sub' 'h4/thm/arithmetic/ADD_SUB_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_max_l' 'h4/thm/hreal/HRAT_LT_ADDL_'
0. 'coq/Coq_ZArith_BinInt_Z_opp_nonneg_nonpos'#@#variant 'h4/thm/real/REAL_NEG_GT0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_setbit_spec_prime'#@#variant 'h4/thm/integer/int_sub_'
0. 'coq/Coq_Reals_RIneq_cond_nonneg'#@#variant 'h4/thm/extreal/le_num_'#@#variant
0. 'coq/Coq_Reals_Ratan_pow2_abs'#@#variant 'h4/thm/real/REAL_POW2_ABS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_lor' 'h4/thm/transc/EXP_SUB_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_nonneg' 'h4/thm/prim_rec/LESS_0_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_Int31Cyclic_specs' 'h4/thm/numRing/num_semi_ring_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_compare_succ_succ' 'h4/thm/toto/qk_numeralOrd_5'
0. 'coq/Coq_ZArith_Znat_Zabs2N_id' 'h4/thm/binary_ieee/rounding_BIJ_0'
0. 'coq/Coq_Bool_Bool_diff_false_true' 'h4/thm/ieee/ccode_distinct_0'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_succ_le_mono' 'h4/thm/numpair/tri_LT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_inj_wd' 'h4/thm/real/REAL_EQ_NEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_0_discr' 'h4/thm/toto/num_dt_distinct_0'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_w6_spec' 'h4/thm/numRing/num_semi_ring_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_le_mono_l' 'h4/thm/realax/HREAL_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_opp_diag_l' 'h4/thm/rat/RAT_ADD_LINV_'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_gt' 'h4/thm/real/REAL_OF_NUM_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_even_1' 'h4/thm/ieee/Plus_infinity_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div2_spec'#@#variant 'h4/thm/arithmetic/DIV2_def_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_divide_mono_r' 'h4/thm/arithmetic/LESS_MONO_MULT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_Odd_succ' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRL'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_le_compat_r' 'h4/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_pow' 'h4/thm/complex/COMPLEX_MUL_LNEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lxor_nilpotent' 'h4/thm/arithmetic/ABS_DIFF_EQS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_0_l' 'h4/thm/rat/RAT_SUB_LID_'#@#variant
0. 'coq/Coq_Reals_Rtrigo_calc_sqrt2_neq_0'#@#variant 'h4/thm/binary_ieee/float_value_distinct_e2'
0. 'coq/Coq_Arith_PeanoNat_Nat_min_id' 'h4/thm/real/REAL_MIN_REFL_'
0. 'coq/Coq_NArith_BinNat_N_eq_mul_0' 'h4/thm/rat/RAT_NO_ZERODIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_pred_succ' 'h4/thm/string/EXPLODE_IMPLODE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_glb_lt_iff' 'h4/thm/arithmetic/MIN_LE_e1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_0_iff' 'h4/thm/real/REAL_INV_EQ_0_'#@#variant
0. 'coq/Coq_Arith_Factorial_fact_neq_0' 'h4/thm/quote/index_distinct_e2'
0. 'coq/Coq_NArith_BinNat_N_lor_diag' 'h4/thm/real/REAL_MAX_REFL_'
0. 'coq/Coq_ZArith_Zeven_Zeven_not_Zodd' 'h4/thm/float/FLOAT_DISTINCT_1'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_succ_r' 'h4/thm/util_prob/LE_SUC_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_refl' 'h4/thm/arithmetic/LESS_EQ_REFL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_glb_lt' 'h4/thm/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_total' 'h4/thm/integer/INT_LT_TOTAL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_succ_diag_r' 'h4/thm/arithmetic/LESS_EQ_SUC_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_irrefl' 'h4/thm/string/string_lt_nonrefl_'#@#variant
0. 'coq/Coq_QArith_Qminmax_Q_le_max_r' 'h4/thm/real/REAL_LE_MAX2_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ldiff_diag' 'h4/thm/arithmetic/ABS_DIFF_EQS_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_1_l' 'h4/thm/integer/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_1' 'h4/thm/intExtension/INT_ABS_CALCULATE_0_'
0. 'coq/Coq_ZArith_BinInt_Z_lcm_divide_iff' 'h4/thm/arithmetic/MAX_LE_e1'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_irrefl' 'h4/thm/integer/TINT_LT_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mod_1_l'#@#variant 'h4/thm/arithmetic/ZERO_DIV_'#@#variant
0. 'coq/Coq_Reals_AltSeries_PI_tg_pos'#@#variant 'h4/thm/frac/FRAC_DNMPOS_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pow_le_mono_r_iff'#@#variant 'h4/thm/transc/RPOW_LE_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_le_mono' 'h4/thm/integer/TINT_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_ldiff_diag' 'h4/thm/integer/INT_SUB_REFL_'#@#variant
0. 'coq/Coq_MSets_MSetPositive_PositiveSet_E_bits_lt_antirefl' 'h4/thm/realax/REAL_LT_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_le_mono_l' 'h4/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_PArith_Pnat_SuccNat2Pos_inj_iff' 'h4/thm/prelim/ordering2num_11_'
0. 'coq/Coq_Reals_RIneq_Ropp_mult_distr_l' 'h4/thm/rat/RAT_AINV_LMUL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_sub_le_add_l' 'h4/thm/rat/RAT_LSUB_LES_'
0. 'coq/Coq_Reals_RIneq_opp_IZR' 'h4/thm/extreal/extreal_sqrt_def_0'
0. 'coq/Coq_Init_Datatypes_CompOpp_involutive' 'h4/thm/real/REAL_NEGNEG_'
0. 'coq/Coq_Arith_PeanoNat_Nat_eq_mul_0' 'h4/thm/real/REAL_ENTIRE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_lt_mono_l' 'h4/thm/integer/LT_LADD_'
0. 'coq/Coq_Reals_RIneq_Ropp_mult_distr_l_reverse' 'h4/thm/complex/COMPLEX_NEG_LDIV_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sub_opp_r' 'h4/thm/rat/RAT_DIV_MULMINV_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_1_l'#@#variant 'h4/thm/HolSmt/r128_'#@#variant
0. 'coq/Coq_QArith_Qround_Qfloor_Z' 'h4/thm/ASCIInumbers/toNum_toString_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_divide_l' 'h4/thm/extreal/min_le1_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_pred_l' 'h4/thm/bit/BIT_LOG2_'
0. 'coq/Coq_ZArith_Zquot_Zquot_opp_l' 'h4/thm/real/REAL_MUL_LNEG_'
0. 'coq/Coq_QArith_QArith_base_Qmult_lt_l'#@#variant 'h4/thm/real/REAL_LT_LMUL_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_nonneg_r'#@#variant 'h4/thm/real/REAL_LE_RMUL_IMP_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_glb_iff' 'h4/thm/arithmetic/MIN_LT_e1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_le_compat_l' 'h4/thm/realax/REAL_LT_IADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_pred_l' 'h4/thm/numpair/nfst_le_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_inj_wd' 'h4/thm/complex/COMPLEX_EQ_NEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_double_mul' 'h4/thm/integer/INT_MUL_CALCULATE_1'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_le_neq' 'h4/thm/arithmetic/LESS_LESS_CASES_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftr_div_pow2'#@#variant 'h4/thm/integer/int_sub_'
0. 'coq/Coq_NArith_BinNat_N_add_succ_r' 'h4/thm/frac/FRAC_AINV_RMUL_'
0. 'coq/Coq_PArith_BinPos_Pos_mul_xO_r' 'h4/thm/frac/FRAC_AINV_RMUL_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_id' 'h4/thm/toto/num2cpn_cpn2num_'
0. 'coq/Coq_Arith_PeanoNat_Nat_pred_succ' 'h4/thm/prim_rec/PRE_e1'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_compare_xI_xI' 'h4/thm/toto/numeralOrd_6'
0. 'coq/Coq_ZArith_Zlogarithm_log_inf_correct1'#@#variant 'h4/thm/binary_ieee/zero_lt_twopow_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_setbit_spec_prime'#@#variant 'h4/thm/frac/frac_div_def_'
0. 'coq/Coq_NArith_BinNat_N_pow_1_r' 'h4/thm/real/REAL_ADD_RID_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_pred' 'h4/thm/numeral/numeral_iisuc_1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_opp' 'h4/thm/complex/CONJ_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_0_r'#@#variant 'h4/thm/util_prob/logr_1_'#@#variant
0. 'coq/Coq_QArith_Qcanon_test_field'#@#variant 'h4/thm/integer/INT_DIV_RMUL_'#@#variant
0. 'coq/Coq_Reals_Rpower_sinh_arcsinh' 'h4/thm/bit/LOG2_TWOEXP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_le_mono_l' 'h4/thm/arithmetic/LT_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_le_mono_l' 'h4/thm/arithmetic/ADD_MONO_LESS_EQ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_pred_l' 'h4/thm/complex/COMPLEX_MUL_LNEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_nonneg' 'h4/thm/divides/ZERO_LT_PRIMES_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_le_mono' 'h4/thm/hrat/TRAT_INV_WELLDEFINED_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lcm_1_l' 'h4/thm/extreal/add_lzero_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_neg_pos'#@#variant 'h4/thm/real/REAL_NEG_LT0_'#@#variant
0. 'coq/Coq_PArith_Pnat_SuccNat2Pos_inj_succ' 'h4/thm/extreal/extreal_exp_def_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_max_r' 'h4/thm/integer/INT_DIVIDES_MUL_e1'
0. 'coq/Coq_NArith_BinNat_N_sqrt_le_mono' 'h4/thm/hrat/TRAT_INV_WELLDEFINED_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_le_mono' 'h4/thm/arithmetic/LESS_MONO_EQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_le_mono' 'h4/thm/bit/TWOEXP_MONO2_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_1_l' 'h4/thm/rat/RAT_MUL_LZERO_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_0_succ' 'h4/thm/transc/ATN_0'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_pos_nonneg'#@#variant 'h4/thm/extreal/let_mul_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_1_r' 'h4/thm/integer/INT_ADD_REDUCE_1'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_ge' 'h4/thm/real/REAL_OF_NUM_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_null_iff' 'h4/thm/real/REAL_NEG_EQ0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pred_le_mono' 'h4/thm/integer/TINT_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_refl' 'h4/thm/integer/INT_LE_REFL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_ge_le_iff' 'h4/thm/real/real_ge_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_cancel_l' 'h4/thm/real/REAL_EQ_LADD_'
0. 'coq/__constr_Coq_Sorting_Sorted_StronglySorted_0_1' 'h4/thm/sorting/SORTED_NIL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_even_1' 'h4/thm/ieee/Minus_infinity_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_nle_gt' 'h4/thm/HolSmt/r096_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_succ_diag_r' 'h4/thm/arithmetic/LESS_EQ_SUC_REFL_'
0. 'coq/Coq_Reals_Ranalysis4_sinh_lt' 'h4/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_nonneg_nonneg' 'h4/thm/binary_ieee/le2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lnot_0_l' 'h4/thm/numeral/texp_help_def_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_opp_diag_r' 'h4/thm/hreal/HRAT_MUL_RINV_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_sub_1_r' 'h4/thm/arithmetic/PRE_SUB1_'#@#variant
0. 'coq/Coq_Reals_Rfunctions_Rpow_mult_distr' 'h4/thm/real/pow_rat_e5'
0. 'coq/Coq_Init_Peano_plus_n_Sm' 'h4/thm/complex/COMPLEX_MUL_RNEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_lcm_l' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_0'
0. 'coq/Coq_ZArith_Zeven_Zquot2_opp' 'h4/thm/numeral_bit/iDUB_NUMERAL_'
0. 'coq/Coq_NArith_BinNat_N_shiftr_shiftr' 'h4/thm/arithmetic/EXP_EXP_MULT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ldiff_ldiff_l' 'h4/thm/frac/FRAC_SUB_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lcm_1_l' 'h4/thm/extreal/sub_lzero_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_nonneg_l'#@#variant 'h4/thm/real/REAL_LE_LMUL_IMP_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_sin_neg' 'h4/thm/DeepSyntax/posinf_def_2'
0. 'coq/Coq_ZArith_BinInt_Z2Pos_inj_sqrt' 'h4/thm/rat/RAT_AINV_CALCULATE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_neq_0_lt_0' 'h4/thm/extreal/lt_infty_e6'
0. 'coq/Coq_NArith_BinNat_N_div_0_l' 'h4/thm/integer/INT_MOD0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_double_spec'#@#variant 'h4/thm/real/REAL_NEG_MINUS1_'#@#variant
0. 'coq/Coq_QArith_Qreduction_Qred_opp' 'h4/thm/numeral_bit/iDUB_NUMERAL_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_iff' 'h4/thm/binary_ieee/rounding_EQ_rounding_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_null'#@#variant 'h4/thm/intExtension/INT_SGN_CLAUSES_0'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_lt_mono_r' 'h4/thm/rat/RAT_LES_RADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_1_r' 'h4/thm/integer/INT_SUB_RZERO_'
0. 'coq/Coq_ZArith_Znat_Z2N_inj_quot2' 'h4/thm/DeepSyntax/deep_form_size_def_2'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_le_refl' 'h4/thm/rat/RAT_LEQ_REF_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_succ_diag_r' 'h4/thm/arithmetic/LESS_EQ_SUC_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_succ_l' 'h4/thm/prim_rec/SUC_LESS_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_cancel_l' 'h4/thm/hreal/HRAT_EQ_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mod_0_l' 'h4/thm/integer/INT_MOD0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_pos'#@#variant 'h4/thm/transc/EXP_LT_1_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_le_compat_l' 'h4/thm/real/REAL_LT_IADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_nonneg' 'h4/thm/transc/ATN_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_involutive' 'h4/thm/integer/INT_REM_CALCULATE_2'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_even_1' 'h4/thm/ieee/Minus_infinity_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_inj_wd' 'h4/thm/numeral/numeral_eq_6'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_nonneg_nonneg' 'h4/thm/realax/REAL_LT_MUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_add_lt_sub_r' 'h4/thm/real/REAL_LT_SUB_RADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_le_mono_l' 'h4/thm/realax/HREAL_LT_LADD_'
0. 'coq/Coq_NArith_BinNat_N_min_glb_iff' 'h4/thm/arithmetic/MIN_LE_e1'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_eq_0_l' 'h4/thm/transc/RPOW_NZ_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_ge_le_iff' 'h4/thm/HolSmt/r103_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_ge_cases' 'h4/thm/integer/INT_LTE_TOTAL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_sub_le_add_r' 'h4/thm/arithmetic/SUB_LEFT_LESS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lor_eq_0_iff' 'h4/thm/arithmetic/MULT_EQ_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_glb' 'h4/thm/divides/DIVIDES_SUB_'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_lt_cancel' 'h4/thm/arithmetic/LESS_MONO_REV_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_odd_sub' 'h4/thm/float/REAL_OF_NUM_SUB_'
0. 'coq/Coq_Reals_AltSeries_PI_tg_pos'#@#variant 'h4/thm/integer/INT_POS_'#@#variant
0. 'coq/Coq_Reals_Rtrigo_calc_sin3PI4'#@#variant 'h4/thm/arithmetic/FACT_0'
0. 'coq/Coq_QArith_Qreduction_Qred_comp' 'h4/thm/real/REAL_POS_MONO_'
0. 'coq/Coq_QArith_QOrderedType_QOrder_le_eq' 'h4/thm/real/REAL_LTE_TRANS_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_nonneg_l'#@#variant 'h4/thm/real/REAL_LE_LMUL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_succ_lt_mono' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Arith_Plus_le_plus_r' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_1'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_add_diag_r' 'h4/thm/real/REAL_LE_MAX1_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_pow' 'h4/thm/arithmetic/ADD_CLAUSES_2'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_id' 'h4/thm/arithmetic/MAX_IDEM_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_pred_l' 'h4/thm/rat/RAT_AINV_LMUL_'
0. 'coq/Coq_Reals_Rminmax_R_min_le_compat_l' 'h4/thm/realax/REAL_LT_IADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_nlt' 'h4/thm/integer/INT_NOT_LT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_nonneg_nonpos'#@#variant 'h4/thm/real/REAL_NEG_GE0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_nonneg' 'h4/thm/transc/ATN_BOUNDS_0'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_rem_0_l' 'h4/thm/integer/INT_DIV_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_1_l' 'h4/thm/integer/INT_MUL_REDUCE_1'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_le_iff' 'h4/thm/extreal/min_le_'
0. 'coq/Coq_PArith_BinPos_Pos_le_1_l' 'h4/thm/integral/LE_0_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_double_twice'#@#variant 'h4/thm/integer/INT_NEG_MINUS1_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_nle_gt' 'h4/thm/rat/RAT_LEQ_LES_'
0. 'coq/Coq_ZArith_Znumtheory_prime_ge_2'#@#variant 'h4/thm/divides/PRIME_POS_'
0. 'coq/Coq_Arith_EqNat_eq_nat_refl' 'h4/thm/rat/RAT_LEQ_REF_'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_div2' 'h4/thm/extreal/extreal_abs_def_0'
0. 'coq/Coq_ZArith_Zpow_facts_Zpower_pos_0_l' 'h4/thm/real/POW_ONE_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_succ_inj' 'h4/thm/divides/PRIMES_11_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_lt_mono' 'h4/thm/numpair/tri_LT_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_1_succ' 'h4/thm/transc/ATN_BOUNDS_0'#@#variant
0. 'coq/Coq_QArith_Qminmax_Q_le_min_r' 'h4/thm/extreal/min_le2_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_succ_le_mono' 'h4/thm/numpair/tri_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_refl' 'h4/thm/poly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_IsTO_lt_total' 'h4/thm/extreal/lt_total_'
0. 'coq/Coq_ZArith_Znat_Zabs2Nat_inj_pos' 'h4/thm/realax/real_of_hreal_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_nonneg_nonpos'#@#variant 'h4/thm/real/REAL_NEG_GT0_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_le_sub_le_add_l' 'h4/thm/rat/RAT_LSUB_LES_'
0. 'coq/Coq_Reals_Rminmax_R_le_max_r' 'h4/thm/integer/INT_DIVIDES_MUL_e1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_1_l'#@#variant 'h4/thm/integer/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_nle_gt' 'h4/thm/real/real_lte_'
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_0_r' 'h4/thm/divides/ALL_DIVIDES_0_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_nlt' 'h4/thm/real/real_lte_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_involutive' 'h4/thm/complex/COMPLEX_NEGNEG_'#@#variant
0. 'coq/Coq_Arith_Lt_lt_n_S' 'h4/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mod_1_r'#@#variant 'h4/thm/numeral/numeral_distrib_11'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ldiff_land' 'h4/thm/extreal/extreal_sub_add_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_clearbit_spec_prime'#@#variant 'h4/thm/complex/complex_sub_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_min_glb_iff' 'h4/thm/extreal/le_min_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_lteq' 'h4/thm/rat/rat_leq_def_'
0. 'coq/Coq_Reals_RIneq_Rplus_le_lt_0_compat'#@#variant 'h4/thm/extreal/let_add_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_id' 'h4/thm/arithmetic/MAX_IDEM_'
0. 'coq/Coq_QArith_Qminmax_Q_max_lub_iff' 'h4/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_Arith_Even_even_mult_aux/1' 'h4/thm/arithmetic/ZERO_LESS_ADD_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_assoc' 'h4/thm/hrat/TRAT_ADD_ASSOC_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_ngt' 'h4/thm/integer/int_le_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_cancel_r' 'h4/thm/rat/RAT_EQ_RMUL_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_abs_IZR' 'h4/thm/rat/RAT_AINV_CALCULATE_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_odd' 'h4/thm/realax/real_of_hreal_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_sub_r' 'h4/thm/divides/DIVIDES_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_divide_iff' 'h4/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_move_r' 'h4/thm/complex/COMPLEX_EQ_SUB_LADD_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftl_opp_r' 'h4/thm/frac/frac_div_def_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mod_1_r'#@#variant 'h4/thm/arithmetic/MOD_ONE_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_add_succ_l' 'h4/thm/complex/COMPLEX_NEG_LMUL_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qmult_1_l'#@#variant 'h4/thm/realax/TREAL_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_refl' 'h4/thm/poly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_lub_lt_iff' 'h4/thm/extreal/max_le_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_le_mono_l' 'h4/thm/hreal/HRAT_LT_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_add_cancel_r' 'h4/thm/poly/POLY_DIVIDES_SUB_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_nonneg' 'h4/thm/divides/ZERO_LT_PRIMES_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_divide_xO_xO' 'h4/thm/integerRing/int_rewrites_tRRRRRRLRRRR'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_neq' 'h4/thm/rat/RAT_LES_IMP_NEQ_'
0. 'coq/Coq_Reals_Rtrigo_calc_sqrt2_neq_0'#@#variant 'h4/thm/float/not2eqz_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_pos_l'#@#variant 'h4/thm/logroot/LT_EXP_ISO_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_pos' 'h4/thm/complex/MODU_NUM_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pow_0_r'#@#variant 'h4/thm/arithmetic/MOD_1_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_id' 'h4/thm/extreal/max_refl_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_double' 'h4/thm/DeepSyntax/deep_form_size_def_2'#@#variant
0. 'coq/Coq_Bool_Bool_eqb_negb1' 'h4/thm/hreal/HREAL_MUL_LINV_'
0. 'coq/Coq_PArith_BinPos_Pos_mul_le_mono_r' 'h4/thm/real/REAL_LE_SUB_CANCEL2_'
0. 'coq/Coq_NArith_BinNat_N_eq_le_incl' 'h4/thm/HolSmt/t007_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_1_l' 'h4/thm/integer/INT_ADD_LID_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_opp_l' 'h4/thm/arithmetic/ADD_e1'
0. 'coq/Coq_ZArith_BinInt_Z_abs_pow' 'h4/thm/complex/COMPLEX_NEG_LDIV_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_opp_neg_pos'#@#variant 'h4/thm/numeral/numeral_distrib_24'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_lt_mono' 'h4/thm/integerRing/int_rewrites_tLRRRRLRRR'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_id' 'h4/thm/extreal/min_refl_'
0. 'coq/Coq_ZArith_Zorder_Zplus_gt_compat_l' 'h4/thm/realax/TREAL_LT_ADD_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_double_mul' 'h4/thm/integer/INT_NEG_LMUL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_lt_mono' 'h4/thm/integerRing/int_rewrites_tLRRRLRRRR'
0. 'coq/Coq_fourier_Fourier_util_Rle_zero_pos_plus1'#@#variant 'h4/thm/transc/SQRT_POS_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_lt_mono_pos_l'#@#variant 'h4/thm/integer/INT_LT_MONO_'#@#variant
0. 'coq/Coq_QArith_QOrderedType_QOrder_le_refl' 'h4/thm/arithmetic/LESS_EQ_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_add_lt_mono_l' 'h4/thm/real/REAL_LE_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_1_r' 'h4/thm/HolSmt/r127_'
0. 'coq/Coq_Reals_Rpower_Rpower_mult' 'h4/thm/frac/FRAC_SUB_ADD_'
0. 'coq/Coq_PArith_Pnat_Nat2Pos_inj_pred' 'h4/thm/rat/RAT_AINV_CALCULATE_'
0. 'coq/Coq_ZArith_Znat_Zabs_nat_N' 'h4/thm/hrat/hrat_sucint_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gt_lt_iff' 'h4/thm/integer/int_ge_'
0. 'coq/Coq_ZArith_BinInt_Z_max_lub_lt' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_e2'
0. 'coq/Coq_Arith_PeanoNat_Nat_max_lt_iff' 'h4/thm/arithmetic/MAX_LT_0'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_IsTO_le_lteq' 'h4/thm/string/string_le_def_'#@#variant
0. 'coq/Coq_ZArith_Zsqrt_compat_Zsqrt_equiv' 'h4/thm/integer/INT_NEG_MINUS1_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rmin_pos' 'h4/thm/realax/REAL_LT_MUL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_land_diag' 'h4/thm/arithmetic/MAX_IDEM_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_opp_r' 'h4/thm/HolSmt/r131_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_divide' 'h4/thm/string/char_gt_def_'
0. 'coq/Coq_NArith_BinNat_N_double_mul' 'h4/thm/real/REAL_MUL_LNEG_'
0. 'coq/Coq_Reals_SeqProp_CV_mult' 'h4/thm/seq/SER_ADD_'
0. 'coq/Coq_ZArith_BinInt_Zpred_succ' 'h4/thm/numeral/DIV2_BIT1_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_of_Z' 'h4/thm/frac/frac_bij_0'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_le_compat_l' 'h4/thm/integer/INT_LT_LADD_IMP_'
0. 'coq/Coq_ZArith_BinInt_Z_div_mul' 'h4/thm/integer/INT_DIV_RMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_lt_mono_r_iff'#@#variant 'h4/thm/int_arith/justify_divides_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_irrefl' 'h4/thm/prim_rec/LESS_REFL_'
0. 'coq/Coq_NArith_BinNat_N_shiftl_mul_pow2'#@#variant 'h4/thm/real/REAL_SUB_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_pos_pos' 'h4/thm/binary_ieee/le2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_le_compat_l' 'h4/thm/extreal/le_ladd_imp_'
0. 'coq/Coq_ZArith_BinInt_Z_shiftl_1_l'#@#variant 'h4/thm/HolSmt/r221_'#@#variant
0. 'coq/Coq_ZArith_Zeven_Zquot2_opp' 'h4/thm/float/REAL_ABS_INV_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_succ_inj_wd' 'h4/thm/integerRing/int_rewrites_tRRRRRRLRRRR'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_irrefl' 'h4/thm/real/REAL_LT_REFL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_add_lt_sub_r' 'h4/thm/rat/RAT_RSUB_LES_'
0. 'coq/Coq_Reals_Rbasic_fun_RRle_abs' 'h4/thm/prim_rec/LESS_SUC_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_max_l' 'h4/thm/hreal/HRAT_LT_ADDL_'
0. 'coq/Coq_Reals_Rfunctions_pow_1'#@#variant 'h4/thm/real/POW_1_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_add_le_sub_r' 'h4/thm/integer/INT_LT_ADD_SUB_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_refl' 'h4/thm/hrat/TRAT_EQ_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_div_str_pos' 'h4/thm/bit/DIV_GT0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_0_discr' 'h4/thm/quote/index_distinct_e2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_nle_gt' 'h4/thm/HolSmt/r115_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_0_iff' 'h4/thm/real/REAL_NEG_EQ0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div_1_r' 'h4/thm/integer/INT_ADD_REDUCE_1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_lt_mono_r' 'h4/thm/hreal/HRAT_LT_RADD_'
0. 'coq/Coq_ZArith_BinInt_Z_clearbit_spec_prime'#@#variant 'h4/thm/real/real_div_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_opp' 'h4/thm/numeral_bit/iDUB_NUMERAL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_lt_mono_r' 'h4/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_add_pos_r'#@#variant 'h4/thm/extreal/le_addr_imp_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_eq_cases' 'h4/thm/arithmetic/GREATER_OR_EQ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_involutive' 'h4/thm/complex/CONJ_CONJ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_ngt' 'h4/thm/integer/int_le_'
0. 'coq/Coq_Reals_Rtrigo_def_cos_sym' 'h4/thm/numeral/numeral_add_6'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_0_l'#@#variant 'h4/thm/arithmetic/ZERO_LESS_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mod_1_l'#@#variant 'h4/thm/transc/ONE_RPOW_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_sub_lt_add_r' 'h4/thm/real/REAL_LT_SUB_RADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_succ_not_1' 'h4/thm/intto/BIT2_nz_'
0. 'coq/Coq_ZArith_Zpower_two_power_pos_nat' 'h4/thm/complex/MODU_NUM_'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_iff' 'h4/thm/integerRing/int_calculate_8'
0. 'coq/Coq_Reals_Rtrigo_calc_cos_PI3'#@#variant 'h4/thm/arithmetic/FACT_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_asymm' 'h4/thm/hreal/HRAT_LT_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_divide_r' 'h4/thm/extreal/min_le2_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_le_mono' 'h4/thm/transc/EXP_MONO_IMP_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_opp' 'h4/thm/complex/COMPLEX_OF_REAL_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_pred_sub' 'h4/thm/arithmetic/ADD1_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_pow_1_r' 'h4/thm/HolSmt/r223_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_pos'#@#variant 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_divide_iff' 'h4/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_opp_l' 'h4/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_min_l' 'h4/thm/real/REAL_MIN_LE1_'
0. 'coq/Coq_Arith_Lt_lt_pred_n_n'#@#variant 'h4/thm/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_l' 'h4/thm/integer/TINT_LT_ADD_'#@#variant
0. 'coq/Coq_ZArith_Zpower_two_power_pos_nat' 'h4/thm/ieee/Sign_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_le_mono' 'h4/thm/integerRing/int_rewrites_tLRRRLRRR'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_succ_r' 'h4/thm/arithmetic/LE_e1'
0. 'coq/Coq_QArith_Qreduction_Qred_comp' 'h4/thm/bit/TWOEXP_MONO2_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_eq_0' 'h4/thm/extreal/entire_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rplus_gt_ge_compat' 'h4/thm/real/REAL_LTE_ADD2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div_le_mono'#@#variant 'h4/thm/real/REAL_LE_RMUL_IMP_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lor_nonneg'#@#variant 'h4/thm/arithmetic/ZERO_LESS_MULT_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_add_le' 'h4/thm/real/ABS_TRIANGLE_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_stepr' 'h4/thm/extreal/lte_trans_'
0. 'coq/Coq_Reals_RIneq_Rle_not_lt' 'h4/thm/integer/INT_LET_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_nonneg' 'h4/thm/prim_rec/LESS_0_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_le_mono' 'h4/thm/numpair/tri_LT_I_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_rem_opp_l_prime' 'h4/thm/integer/INT_MUL_CALCULATE_1'
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_greatest' 'h4/thm/divides/DIVIDES_ADD_1_'
0. 'coq/Coq_Bool_Bool_negb_orb' 'h4/thm/transc/EXP_SUB_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lxor_nilpotent' 'h4/thm/integer/INT_SUB_REFL_'#@#variant
0. 'coq/Coq_QArith_Qreduction_Qred_compare' 'h4/thm/toto/qk_numeralOrd_6'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_irrefl' 'h4/thm/integer/TINT_LT_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_involutive' 'h4/thm/rat/RAT_AINV_AINV_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_eq_cases' 'h4/thm/extreal/le_lt_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_divide_lcm_l' 'h4/thm/realax/HREAL_LT_ADDL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_pos_r'#@#variant 'h4/thm/logroot/EXP_LE_ISO_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_max_le_compat_l' 'h4/thm/real/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_shuffle3' 'h4/thm/HolSmt/r086_'
0. 'coq/Coq_NArith_BinNat_N_mul_eq_0' 'h4/thm/real/REAL_ENTIRE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_lt_mono_pos_r' 'h4/thm/logroot/EXP_LT_ISO_'
0. 'coq/Coq_ZArith_Zorder_Zle_0_pos'#@#variant 'h4/thm/integer/INT_POS_'#@#variant
0. 'coq/Coq_Reals_Raxioms_Rplus_lt_compat_l' 'h4/thm/real/REAL_LT_IADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_irrefl' 'h4/thm/rat/RAT_LES_REF_'
0. 'coq/Coq_Bool_Bool_diff_false_true' 'h4/thm/binary_ieee/float_compare_distinct_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pos_pred_succ' 'h4/thm/toto/num2cpn_cpn2num_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_rem_0_l' 'h4/thm/integer/INT_DIV_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_quot_abs' 'h4/thm/real/ABS_DIV_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_pos_le' 'h4/thm/divides/DIVIDES_LE_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_iff' 'h4/thm/real/REAL_INJ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_le_mono_l' 'h4/thm/extreal/le_radd_imp_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_max_l' 'h4/thm/hreal/HRAT_LT_ADDL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_inj_wd' 'h4/thm/toto/num_dt_11_e1'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_xO_r' 'h4/thm/integer/INT_MUL_CALCULATE_2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_1' 'h4/thm/intExtension/INT_ABS_CALCULATE_0_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_lt_mono_l_iff' 'h4/thm/int_arith/INT_DIVIDES_LRMUL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_sub_distr' 'h4/thm/real/REAL_SUB_LNEG_'
0. 'coq/Coq_NArith_BinNat_N_min_glb' 'h4/thm/divides/DIVIDES_SUB_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_nonpos_nonpos'#@#variant 'h4/thm/extreal/le_mul_neg_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_factor_r' 'h4/thm/real/REAL_LE_MAX2_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lcm_diag' 'h4/thm/arithmetic/MIN_IDEM_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sub_diag' 'h4/thm/arithmetic/SUB_EQUAL_0_'
0. 'coq/Coq_NArith_BinNat_N_add_sub' 'h4/thm/real/REAL_ADD_SUB_ALT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_land_diag' 'h4/thm/gcd/GCD_REF_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pred_le_mono' 'h4/thm/prim_rec/LESS_MONO_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_quot2' 'h4/thm/DeepSyntax/deep_form_size_def_2'#@#variant
0. 'coq/Coq_ZArith_Znat_positive_N_nat' 'h4/thm/realax/real_of_hreal_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rplus_ge_compat_r' 'h4/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_nle_gt' 'h4/thm/rat/RAT_LES_LEQ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_1_r' 'h4/thm/extreal/sub_rzero_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_refl' 'h4/thm/divides/DIVIDES_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_max_id' 'h4/thm/real/REAL_MIN_REFL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_inj_wd' 'h4/thm/string/EXPLODE_11_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_max_lt_iff' 'h4/thm/arithmetic/MAX_LT_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_move_0_r' 'h4/thm/integer/INT_LNEG_UNIQ_'#@#variant
0. 'coq/Coq_Numbers_Cyclic_ZModulo_ZModulo_Ptail_pos'#@#variant 'h4/thm/real/POW_2_LE1_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lor_diag' 'h4/thm/real/REAL_MIN_REFL_'
0. 'coq/Coq_Reals_RIneq_Rplus_opp_r_uniq' 'h4/thm/extreal/rinv_uniq_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gt_lt_iff' 'h4/thm/pred_set/COUNT_applied_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_lt_le_mono' 'h4/thm/integer/INT_LTE_ADD2_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_le_mono_l' 'h4/thm/real/REAL_LT_LADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_greatest' 'h4/thm/divides/DIVIDES_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lcm_diag' 'h4/thm/real/REAL_MIN_REFL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_2' 'h4/thm/extreal/half_between_e2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_mod' 'h4/thm/integer/INT_MOD_SUB_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_div2_succ_double' 'h4/thm/numpair/invtri_linverse_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_min_distr' 'h4/thm/complex/COMPLEX_EXP_SUB_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_log2_shiftr' 'h4/thm/complex/COMPLEX_SUB_LNEG_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_succ_diag_r' 'h4/thm/divides/INDEX_LESS_PRIMES_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_move_r' 'h4/thm/complex/COMPLEX_EQ_SUB_RADD_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sqrt_1' 'h4/thm/real/REAL_INV_0_'
0. 'coq/Coq_ZArith_BinInt_Z_lnot_involutive' 'h4/thm/integerRing/int_rewrites_tLRRRRRRRRRRRRL'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lcm_divide_iff' 'h4/thm/arithmetic/MAX_LT_e1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_eq_le_incl' 'h4/thm/hrat/TRAT_EQ_AP_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mod_le'#@#variant 'h4/thm/arithmetic/DIV_LESS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_r' 'h4/thm/integer/TINT_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_le_mono_r' 'h4/thm/hreal/HRAT_LT_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_nonneg' 'h4/thm/arithmetic/FACT_LESS_'
0. 'coq/Coq_NArith_Nnat_Nat2N_id' 'h4/thm/frac/frac_tybij_0'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_sub_lt_add_r' 'h4/thm/real/REAL_LE_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_glb_lt_iff' 'h4/thm/arithmetic/MIN_LT_e1'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_antisym' 'h4/thm/divides/DIVIDES_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_le_compat_r' 'h4/thm/hrat/TRAT_MUL_WELLDEFINED_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_1_l' 'h4/thm/integer/INT_ADD_LID_'
0. 'coq/Coq_Reals_Rminmax_R_min_glb_iff' 'h4/thm/integral/REAL_LT_MIN_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_le_mono' 'h4/thm/arithmetic/LESS_MONO_EQ_'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_double'#@#variant 'h4/thm/extreal/extreal_inv_def_e2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_add_le_sub_r' 'h4/thm/real/REAL_LT_ADD_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_quot_0_l' 'h4/thm/integer/INT_DIV_0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_neq' 'h4/thm/integer/INT_LT_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_le_mono' 'h4/thm/numeral/numeral_lt_4'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_clearbit_spec_prime'#@#variant 'h4/thm/extreal/extreal_sub_add_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_1_l'#@#variant 'h4/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_PI_neq0' 'h4/thm/prelim/ordering_distinct_0'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_le_trans' 'h4/thm/arithmetic/LESS_LESS_EQ_TRANS_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_succ_r' 'h4/thm/integer/INT_MUL_CALCULATE_2'
0. 'coq/Coq_ZArith_BinInt_Z_ldiff_land' 'h4/thm/frac/frac_div_def_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lor_eq_0_iff' 'h4/thm/gcd/GCD_EQ_0_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_nge' 'h4/thm/rat/RAT_LEQ_LES_'
0. 'coq/Coq_Numbers_Cyclic_DoubleCyclic_DoubleSqrt_Zplus_mod_one' 'h4/thm/arithmetic/ADD_MODULUS_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_opp_r' 'h4/thm/real/real_div_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_land_diag' 'h4/thm/arithmetic/MAX_IDEM_'
0. 'coq/Coq_Reals_Rminmax_R_OT_lt_total' 'h4/thm/extreal/lt_total_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_lub' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_e2'
0. 'coq/Coq_NArith_Nnat_N2Nat_id' 'h4/thm/num/num_ISO_DEF_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_1_mul_pos'#@#variant 'h4/thm/integer/INT_LTE_ADD_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_le_mono' 'h4/thm/integerRing/int_rewrites_tLRRRRLRRR'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_le_mono_l' 'h4/thm/arithmetic/LT_ADD_LCANCEL_'
0. 'coq/Coq_ZArith_BinInt_Z_ones_equiv'#@#variant 'h4/thm/numeral_bit/NUMERAL_iDIV2_4'
0. 'coq/Coq_Reals_Rtrigo_calc_sqrt2_neq_0'#@#variant 'h4/thm/binary_ieee/rounding_distinct_2'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_lcm_divide_iff' 'h4/thm/arithmetic/MAX_LE_e1'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div_1_r' 'h4/thm/HolSmt/r127_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_incr_twice_plus_one' 'h4/thm/numeral_bit/numeral_ilog2_e2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_total' 'h4/thm/arithmetic/LESS_LESS_CASES_'
0. 'coq/Coq_Reals_Rminmax_R_max_le_compat_l' 'h4/thm/realax/TREAL_LT_ADD_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_lt_mono_r' 'h4/thm/real/REAL_LE_SUB_CANCEL2_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_nge' 'h4/thm/HolSmt/r096_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_bounded/0' 'h4/thm/realax/REAL_POS_'
0. 'coq/Coq_NArith_BinNat_N_nle_gt' 'h4/thm/extreal/extreal_lt_def_'
0. 'coq/Coq_ZArith_BinInt_Z_gcd_add_diag_r' 'h4/thm/gcd/GCD_ADD_R_THM_e1'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gt_lt_iff' 'h4/thm/arithmetic/GREATER_DEF_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mod_1_r' 'h4/thm/arithmetic/MOD_ONE_'
0. 'coq/Coq_NArith_BinNat_N_le_refl' 'h4/thm/poly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_succ_diag_r' 'h4/thm/divides/INDEX_LESS_PRIMES_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_succ_r_prime' 'h4/thm/arithmetic/EXP_e1'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_gt_lin_r'#@#variant 'h4/thm/arithmetic/X_LT_EXP_X_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lcm_1_l' 'h4/thm/HolSmt/r079_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_ge_le_iff' 'h4/thm/rat/rat_geq_def_'
0. 'coq/Coq_PArith_BinPos_Pos_ge_le_iff' 'h4/thm/integer/INT_GT_CALCULATE_'
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_pos' 'h4/thm/divides/ZERO_LT_PRIMES_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_asymm' 'h4/thm/extreal/lt_antisym_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_le_mono_l' 'h4/thm/hrat/TRAT_MUL_WELLDEFINED_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_nonneg' 'h4/thm/transc/ATN_0'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_succ_inj_wd' 'h4/thm/complex/COMPLEX_EQ_NEG_'#@#variant
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_double_plus_one' 'h4/thm/complex/COMPLEX_OF_REAL_INV_'#@#variant
0. 'coq/Coq_QArith_Qminmax_Q_min_glb_iff' 'h4/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_inj_wd' 'h4/thm/numeral/numeral_eq_6'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_even_1' 'h4/thm/ieee/Minus_infinity_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_add_r' 'h4/thm/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_lt_mono_r' 'h4/thm/rat/RAT_LES_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_factor_l' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_0'
0. 'coq/Coq_Reals_Rtrigo1_PI_neq0' 'h4/thm/binary_ieee/float_compare_distinct_e5'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_lt_lin'#@#variant 'h4/thm/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_lt_cancel' 'h4/thm/arithmetic/LESS_MONO_REV_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_sub_distr' 'h4/thm/frac/FRAC_SUB_SUB_'
0. 'coq/Coq_Reals_Rtrigo_def_sin_antisym' 'h4/thm/transc/SIN_NEG_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_asymm' 'h4/thm/rat/RAT_LES_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_opp_r' 'h4/thm/real/REAL_NEG_RMUL_'
0. 'coq/Coq_ZArith_BinInt_Z_gt_lt_iff' 'h4/thm/string/string_gt_def_'#@#variant
0. 'coq/Coq_ZArith_Zlogarithm_Zlog2_up_log_sup' 'h4/thm/util_prob/lg_pow_'#@#variant
0. 'coq/Coq_Reals_Rminmax_RHasMinMax_max_l' 'h4/thm/real/REAL_MAX_ALT_e1'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_0_l' 'h4/thm/integer/TINT_MUL_LID_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_lt_total' 'h4/thm/extreal/lt_total_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_involutive' 'h4/thm/extreal/neg_neg_'
0. 'coq/Coq_NArith_BinNat_N_le_succ_r' 'h4/thm/util_prob/LE_SUC_'
0. 'coq/Coq_Bool_Bool_diff_false_true' 'h4/thm/binary_ieee/rounding_distinct_1'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_nonneg' 'h4/thm/integral/LT_0_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_iff' 'h4/thm/ASCIInumbers/toString_inj_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_succ_r' 'h4/thm/complex/COMPLEX_NEG_RMUL_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mod_1_r'#@#variant 'h4/thm/arithmetic/EXP_0'#@#variant
0. 'coq/Coq_Reals_RIneq_Rplus_le_compat_l' 'h4/thm/realax/TREAL_LT_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_eqb_eq' 'h4/thm/quote/compare_index_equal_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_lt_mono' 'h4/thm/numpair/tri_LT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ldiff_m1_l'#@#variant 'h4/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_succ_diag_r' 'h4/thm/numpair/tri_le_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pos_pred_succ' 'h4/thm/string_num/n2s_s2n_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_le_neq' 'h4/thm/integral/LT_LE_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_glb_lt' 'h4/thm/divides/DIVIDES_SUB_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_eq_le_incl' 'h4/thm/HolSmt/t006_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_1_l'#@#variant 'h4/thm/numeral/texp_help_def_0'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pred_le_mono' 'h4/thm/integer/TINT_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lt_eq_cases' 'h4/thm/integer/INT_LE_CALCULATE_'
0. 'coq/Coq_ZArith_BinInt_Z_lor_diag' 'h4/thm/arithmetic/MAX_IDEM_'
0. 'coq/Coq_MSets_MSetPositive_PositiveSet_E_bits_lt_antirefl' 'h4/thm/integer/TINT_LT_REFL_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_sin_lb_gt_0'#@#variant 'h4/thm/transc/SIN_POS_PI_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_le_mono' 'h4/thm/transc/EXP_MONO_IMP_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_ge_cases' 'h4/thm/integer/INT_LE_TOTAL_'
0. 'coq/Coq_Bool_Bool_negb_andb' 'h4/thm/transc/EXP_SUB_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_nlt_ge' 'h4/thm/HolSmt/r115_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_succ_diag_r' 'h4/thm/bit/BIT_B_'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_is_nonneg'#@#variant 'h4/thm/extreal/lt_infty_0'#@#variant
0. 'coq/Coq_ZArith_Zquot_Zquot_opp_opp' 'h4/thm/complex/COMPLEX_NEG_MUL2_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_le_mono_l' 'h4/thm/rat/RAT_LES_LADD_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_is_pos'#@#variant 'h4/thm/frac/FRAC_DNMPOS_'#@#variant
0. 'coq/Coq_fourier_Fourier_util_Rfourier_le'#@#variant 'h4/thm/logroot/ROOT_LE_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_clearbit_spec_prime'#@#variant 'h4/thm/complex/complex_sub_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_negb_even' 'h4/thm/frac/frac_sgn_def_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_factor_r' 'h4/thm/extreal/le_max2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_nle_gt' 'h4/thm/real/real_lte_'
0. 'coq/Coq_ZArith_BinInt_Z_abs_0_iff' 'h4/thm/integer/INT_MOD_CALCULATE_e4'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_pred_l' 'h4/thm/real/REAL_MUL_LNEG_'
0. 'coq/Coq_ZArith_Zorder_Zmult_lt_compat_r'#@#variant 'h4/thm/extreal/le_rmul_imp_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_pred_sub' 'h4/thm/arithmetic/ADD1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_pred' 'h4/thm/transc/EXP_NEG_'
0. 'coq/Coq_NArith_BinNat_N_min_le_compat_r' 'h4/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_neq_succ_0' 'h4/thm/quote/index_distinct_1'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_add_lt_sub_r' 'h4/thm/integer/INT_LE_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_pos_nonneg'#@#variant 'h4/thm/extreal/lte_add_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_le_compat_r' 'h4/thm/integer/TINT_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_lt_mono_r' 'h4/thm/arithmetic/LESS_MONO_ADD_EQ_'
0. 'coq/Coq_NArith_BinNat_N_sqrt_le_lin' 'h4/thm/numpair/nfst_le_'
0. 'coq/Coq_Arith_Le_le_n_S' 'h4/thm/bit/TWOEXP_MONO2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div_0_l' 'h4/thm/integer/INT_QUOT_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pred_succ' 'h4/thm/string/IMPLODE_EXPLODE_'#@#variant
0. 'coq/Coq_Strings_Ascii_ascii_N_embedding' 'h4/thm/string/CHR_ORD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_nonneg_nonneg' 'h4/thm/binary_ieee/le2_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_add_diag_r' 'h4/thm/gcd/GCD_ADD_R_THM_e1'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pow_le_mono_l' 'h4/thm/integer/TINT_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_min_r' 'h4/thm/extreal/min_le2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_eq_mul_0_r' 'h4/thm/extreal/add_not_infty_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_opp' 'h4/thm/complex/COMPLEX_INV_NEG_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_neq_pred_l' 'h4/thm/prim_rec/SUC_ID_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_succ_r' 'h4/thm/real/REAL_NEG_RMUL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftl_1_l'#@#variant 'h4/thm/HolSmt/r129_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_move_r' 'h4/thm/integer/INT_EQ_SUB_RADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_1_l' 'h4/thm/HolSmt/r129_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_factor_l' 'h4/thm/integer/INT_DIVIDES_MUL_0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_eq_0' 'h4/thm/extreal/entire_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_pos_nonneg'#@#variant 'h4/thm/arithmetic/ONE_LT_MULT_IMP_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_le_iff' 'h4/thm/extreal/le_max_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_glb' 'h4/thm/divides/DIVIDES_SUB_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_lt_iff' 'h4/thm/arithmetic/MIN_LT_0'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_eqk_sym'#@#variant 'h4/thm/Encode/biprefix_sym_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_1_l'#@#variant 'h4/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_succ_l' 'h4/thm/complex/COMPLEX_MUL_LNEG_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_antisym' 'h4/thm/divides/DIVIDES_ANTISYM_'
0. 'coq/Coq_ZArith_BinInt_Z_lcm_1_r'#@#variant 'h4/thm/arithmetic/DIV2_def_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_nle_gt' 'h4/thm/rat/RAT_LES_LEQ_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_add' 'h4/thm/integer/INT_SUB_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_succ_diag_r' 'h4/thm/divides/INDEX_LESS_PRIMES_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_refl' 'h4/thm/poly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_clearbit_spec_prime'#@#variant 'h4/thm/integer/int_sub_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_factor_l' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_nonneg' 'h4/thm/transc/ATN_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_sub_r' 'h4/thm/divides/DIVIDES_ADD_1_'
0. 'coq/Coq_Arith_Mult_mult_le_compat_r' 'h4/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_setbit_spec_prime'#@#variant 'h4/thm/real/real_div_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_pos_l'#@#variant 'h4/thm/rat/RAT_LES_LMUL_POS_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_compare_eq_iff' 'h4/thm/quote/compare_index_equal_'
0. 'coq/Coq_NArith_BinNat_N_div2_double' 'h4/thm/numeral/DIV2_BIT1_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_gcd_divide_l' 'h4/thm/extreal/min_le1_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_lt_mono_l' 'h4/thm/integer/LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_1_l' 'h4/thm/divides/ONE_DIVIDES_ALL_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_lt_mono_l' 'h4/thm/real/REAL_LT_LADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div_1_r' 'h4/thm/extreal/sub_rzero_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_land_diag' 'h4/thm/extreal/min_refl_'
0. 'coq/Coq_Reals_RList_RList_P1' 'h4/thm/real/POW_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_null_iff' 'h4/thm/integer/INT_MOD_CALCULATE_e4'#@#variant
0. 'coq/Coq_Reals_RIneq_succ_IZR' 'h4/thm/integer/tint_of_num_e1'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_max_r' 'h4/thm/real/REAL_MAX_ALT_0'
0. 'coq/Coq_Reals_Ratan_Ropp_div' 'h4/thm/integer/INT_MUL_CALCULATE_1'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_1_l' 'h4/thm/hrat/TRAT_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_le_mono_nonneg'#@#variant 'h4/thm/real/REAL_LT_MUL2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_sub_r' 'h4/thm/divides/DIVIDES_ADD_1_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_r' 'h4/thm/integer/TINT_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_one_neq_zero' 'h4/thm/ieee/ccode_distinct_2'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ge_le_iff' 'h4/thm/integer/INT_GE_CALCULATE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lcm_divide_iff' 'h4/thm/arithmetic/MAX_LE_e1'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div2_succ_double' 'h4/thm/numeral/DIV2_BIT1_'
0. 'coq/Coq_Arith_PeanoNat_Nat_neq_succ_0' 'h4/thm/num/ZERO_REP_DEF_'
0. 'coq/Coq_ZArith_BinInt_Z_add_opp_l' 'h4/thm/HolSmt/r225_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_divide' 'h4/thm/string/char_lt_def_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_div2' 'h4/thm/quote/index_size_def_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_pos_nonneg'#@#variant 'h4/thm/util_prob/REAL_LE_LT_MUL_'#@#variant
0. 'coq/Coq_Reals_Rfunctions_pow_le'#@#variant 'h4/thm/extreal/pow_pos_lt_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_le_succ_le_pred' 'h4/thm/bit/TWOEXP_LE_IMP_LE_LOG2_0'#@#variant
0. 'coq/Coq_NArith_BinNat_N_le_ngt' 'h4/thm/integer/INT_NOT_LE_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_divide' 'h4/thm/float/REAL_OF_NUM_LT_'
0. 'coq/Coq_ZArith_BinInt_Zminus_succ_l' 'h4/thm/complex/COMPLEX_MUL_LNEG_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_add_sub' 'h4/thm/arithmetic/ADD_SUB_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_eq_mul_0_r' 'h4/thm/extreal/add_not_infty_e1'
0. 'coq/Coq_Reals_RIneq_Rmult_le_compat_l'#@#variant 'h4/thm/real/REAL_LT_LMUL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_id' 'h4/thm/real/REAL_MAX_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_ldiff_m1_r'#@#variant 'h4/thm/integer/INT_MOD_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_irrefl' 'h4/thm/realax/REAL_LT_REFL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_pos_nonneg'#@#variant 'h4/thm/real/REAL_LTE_ADD_'#@#variant
0. 'coq/Coq_Bool_Bool_eqb_negb1' 'h4/thm/integer/INT_ADD_LINV_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_inj_wd' 'h4/thm/integral/EQ_SUC_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_divide' 'h4/thm/int_arith/INT_NUM_DIVIDES_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_reg_r' 'h4/thm/real/REAL_EQ_RMUL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_1' 'h4/thm/integer/INT_ADD_REDUCE_2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_0_iff' 'h4/thm/integer/INT_NEG_EQ0_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_nonneg' 'h4/thm/divides/ZERO_LT_PRIMES_'
0. 'coq/Coq_Reals_RIneq_Ropp_mult_distr_l' 'h4/thm/complex/COMPLEX_NEG_LDIV_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_shuffle3' 'h4/thm/HolSmt/r220_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_gcd_divide_r' 'h4/thm/real/REAL_MIN_LE2_'
0. 'coq/Coq_Arith_PeanoNat_Nat_succ_inj_wd' 'h4/thm/complex/COMPLEX_EQ_NEG_'#@#variant
0. 'coq/Coq_ZArith_Zlogarithm_log_inf_correct/0'#@#variant 'h4/thm/extreal/le_num_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_abs' 'h4/thm/complex/COMPLEX_OF_REAL_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_divide_r' 'h4/thm/extreal/min_le2_'
0. 'coq/Coq_ZArith_BinInt_Z_shiftl_opp_r' 'h4/thm/real/REAL_SUB_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_lub' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_e2'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_inj_wd' 'h4/thm/integral/EQ_SUC_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_shuffle3' 'h4/thm/float/REAL_MUL_AC_e2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_irrefl' 'h4/thm/string/string_lt_nonrefl_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_add_le_mono_l' 'h4/thm/integer/INT_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_shuffle3' 'h4/thm/float/REAL_MUL_AC_e2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_le_mono_l' 'h4/thm/arithmetic/ADD_MONO_LESS_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_succ_l' 'h4/thm/rat/RAT_AINV_LMUL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_nonneg_l'#@#variant 'h4/thm/integral/REAL_LE_LMUL1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_rem_1_l'#@#variant 'h4/thm/arithmetic/ZERO_MOD_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_lteq' 'h4/thm/real/REAL_LE_LT_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_eq_0' 'h4/thm/intExtension/INT_NO_ZERODIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_simpl_r' 'h4/thm/real/REAL_SUB_ADD_'
0. 'coq/Coq_NArith_BinNat_N_add_1_l'#@#variant 'h4/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftl_1_l'#@#variant 'h4/thm/integer/INT_SUB_REDUCE_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_inj_wd' 'h4/thm/real/REAL_INV_INJ_'
0. 'coq/Coq_ZArith_BinInt_Z_ge_le_iff' 'h4/thm/integer/INT_GE_CALCULATE_'
0. 'coq/Coq_NArith_BinNat_N_pos_pred_succ' 'h4/thm/realax/TREAL_BIJ_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_simpl_l' 'h4/thm/complex/COMPLEX_ADD_SUB_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_le_mono' 'h4/thm/integer/TINT_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_1_l'#@#variant 'h4/thm/HolSmt/r129_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_div2' 'h4/thm/toto/num_dt_size_def_1'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_involutive' 'h4/thm/frac/FRAC_AINV_AINV_'
0. 'coq/Coq_ZArith_Zeven_Zodd_plus_Zeven' 'h4/thm/real/REAL_LTE_ADD_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_pred_l' 'h4/thm/numpair/nfst_le_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_iff' 'h4/thm/DeepSyntax/deep_form_11_5'
0. 'coq/Coq_ZArith_BinInt_Z_gcd_0_r_nonneg'#@#variant 'h4/thm/transc/RPOW_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_lteq' 'h4/thm/integral/LE_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_divide_mono_r' 'h4/thm/extreal/le_radd_imp_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_r' 'h4/thm/integer/TINT_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_succ_l' 'h4/thm/rat/RAT_AINV_LMUL_'
0. 'coq/Coq_QArith_Qcanon_Qclt_not_eq' 'h4/thm/hreal/HRAT_LT_NE_'
0. 'coq/Coq_QArith_Qround_Qceiling_Z' 'h4/thm/binary_ieee/float_compare_BIJ_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_1' 'h4/thm/util_prob/ONE_MINUS_HALF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_nonneg' 'h4/thm/transc/ATN_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_le_iff' 'h4/thm/arithmetic/MIN_LT_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_le_mono' 'h4/thm/transc/EXP_MONO_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_1_mul_pos'#@#variant 'h4/thm/real/REAL_LTE_ADD_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_le_trans' 'h4/thm/rat/RAT_LES_LEQ_TRANS_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_lt_cancel' 'h4/thm/arithmetic/LESS_MONO_REV_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_total' 'h4/thm/hreal/HREAL_LT_TOTAL_'
0. 'coq/Coq_Arith_Le_le_n_S' 'h4/thm/divides/LT_PRIMES_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_total' 'h4/thm/string/string_lt_cases_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_nlt_0_r' 'h4/thm/extreal/lt_infty_3'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lxor_m1_l'#@#variant 'h4/thm/integer/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_id' 'h4/thm/binary_ieee/rounding_BIJ_0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_eq_0_gt_0_cases'#@#variant 'h4/thm/arithmetic/LESS_0_CASES_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_nle' 'h4/thm/HolSmt/r096_'
0. 'coq/Coq_ZArith_Zorder_Zsucc_gt_compat' 'h4/thm/bit/TWOEXP_MONO2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pred_succ' 'h4/thm/transc/LN_EXP_'
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_r' 'h4/thm/hrat/TRAT_MUL_WELLDEFINED_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_inj_wd' 'h4/thm/numpair/tri_11_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_rem' 'h4/thm/integer/INT_MOD_SUB_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_le_mono' 'h4/thm/real/REAL_POS_MONO_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_1_l' 'h4/thm/extreal/add_lzero_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_invc' 'h4/thm/extreal/extreal_ainv_def_e2'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lxor_eq_0_iff' 'h4/thm/arithmetic/ABS_DIFF_EQ_0_'
0. 'coq/Coq_Reals_RIneq_Rminus_0_l' 'h4/thm/integer/INT_SUB_REDUCE_1'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_lt_mono_l' 'h4/thm/hreal/HRAT_LT_LADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lxor_eq_0_iff' 'h4/thm/arithmetic/ABS_DIFF_EQ_0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_0_l' 'h4/thm/util_prob/lg_def_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ldiff_land' 'h4/thm/frac/frac_div_def_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_add_r' 'h4/thm/arithmetic/EXP_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pos_pred_succ' 'h4/thm/realax/TREAL_BIJ_0'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_glb_iff' 'h4/thm/arithmetic/MIN_LE_e1'
0. 'coq/Coq_ZArith_BinInt_Z_mul_opp_opp' 'h4/thm/complex/COMPLEX_NEG_MUL2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_opp_l' 'h4/thm/frac/FRAC_AINV_LMUL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_0_l'#@#variant 'h4/thm/arithmetic/ZERO_MOD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_xO_r' 'h4/thm/real/REAL_MUL_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_eq_cases' 'h4/thm/arithmetic/LESS_OR_EQ_'
0. 'coq/Coq_NArith_BinNat_N_log2_le_mono' 'h4/thm/real/REAL_POS_MONO_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_max_l' 'h4/thm/integer/INT_DIVIDES_MUL_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_asymm' 'h4/thm/arithmetic/LESS_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_le_mono_l' 'h4/thm/hreal/HRAT_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_eq_0_r' 'h4/thm/extreal/add_not_infty_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_pow' 'h4/thm/real/REAL_MUL_LNEG_'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_eqk_refl'#@#variant 'h4/thm/sorting/PERM_SINGLE_SWAP_REFL_'
0. 'coq/Coq_PArith_Pnat_SuccNat2Pos_inj_iff' 'h4/thm/toto/cpn2num_11_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_lt_mono_pos_l'#@#variant 'h4/thm/arithmetic/EXP_BASE_LE_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_le_mono_r' 'h4/thm/hreal/HRAT_LT_RADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_of_N' 'h4/thm/rat/rat_sgn_def_'
0. 'coq/Coq_ZArith_BinInt_Z_le_neq' 'h4/thm/extreal/lt_le_'
0. 'coq/Coq_Arith_PeanoNat_Nat_div2_double'#@#variant 'h4/thm/numpair/invtri_linverse_'
0. 'coq/Coq_Structures_DecidableTypeEx_Z_as_DT_lt_not_eq' 'h4/thm/extreal/lt_imp_ne_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_add_le_sub_r' 'h4/thm/integer/INT_LT_SUB_RADD_'
0. 'coq/Coq_Reals_Rminmax_R_max_le_compat_l' 'h4/thm/realax/REAL_LT_IADD_'
0. 'coq/Coq_QArith_Qreduction_Qred_opp' 'h4/thm/transc/SIN_NEG_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_sub_lt_add_r' 'h4/thm/integer/INT_LT_ADD_SUB_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_double'#@#variant 'h4/thm/transc/LN_INV_'#@#variant
0. 'coq/Coq_ZArith_Znat_Zabs2Nat_inj_pos' 'h4/thm/rat/RAT_SGN_CALCULATE_'
0. 'coq/Coq_PArith_BinPos_Pos_lt_eq_cases' 'h4/thm/arithmetic/LESS_OR_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_le_mono_r_iff'#@#variant 'h4/thm/real/REAL_LE_LMUL_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_setbit_spec_prime'#@#variant 'h4/thm/extreal/extreal_sub_add_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div2_succ_double' 'h4/thm/string/EXPLODE_IMPLODE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_1_l' 'h4/thm/real/REAL_SUB_LZERO_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lcm_divide_iff' 'h4/thm/arithmetic/MAX_LE_e1'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_power_pos' 'h4/thm/float/REAL_POW_LE_1_'#@#variant
0. 'coq/Coq_QArith_QOrderedType_QOrder_lt_eq' 'h4/thm/rat/RAT_LES_LEQ_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_lcm_r' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_1'
0. 'coq/Coq_NArith_BinNat_N_gcd_divide_iff' 'h4/thm/extreal/le_min_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_divide_mono_r' 'h4/thm/arithmetic/LESS_MONO_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_eq_cases' 'h4/thm/integer/INT_LE_CALCULATE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_divide_r' 'h4/thm/real/REAL_MIN_LE2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_Odd_succ' 'h4/thm/binary_ieee/exp_ge2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_divide_iff' 'h4/thm/integral/REAL_LT_MIN_'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_double'#@#variant 'h4/thm/extreal/extreal_exp_def_0'
0. 'coq/Coq_NArith_BinNat_N_succ_pos_pred' 'h4/thm/ratRing/rat_ring_thms_e17'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lxor_eq' 'h4/thm/extreal/sub_0_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_ge_cases' 'h4/thm/real/REAL_LTE_TOTAL_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_nonneg' 'h4/thm/integral/LT_0_'
0. 'coq/Coq_QArith_Qcanon_Qcle_lt_trans' 'h4/thm/arithmetic/LESS_EQ_LESS_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_le_mono_r_iff'#@#variant 'h4/thm/int_arith/justify_divides_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_neq_succ_0' 'h4/thm/quote/index_distinct_e2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_rem_1_r'#@#variant 'h4/thm/numeral/numeral_exp_0'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_succ_le_mono' 'h4/thm/integerRing/int_rewrites_tRRRRRRLRRRR'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gt_lt_iff' 'h4/thm/pred_set/COUNT_applied_'
0. 'coq/Coq_QArith_Qcanon_Q_apart_0_1'#@#variant 'h4/thm/toto/all_cpn_distinct_tLRL'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_iff' 'h4/thm/integer/INT_EQ_CALCULATE_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_lt_mono_r' 'h4/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_setbit_spec_prime'#@#variant 'h4/thm/real/real_sub_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_lt_mono_nonneg'#@#variant 'h4/thm/real/REAL_LE_MUL2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_le_mono' 'h4/thm/numeral/numeral_lt_4'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_nonneg' 'h4/thm/arithmetic/FACT_LESS_'
0. 'coq/Coq_Reals_Rfunctions_pow_nonzero' 'h4/thm/real/POW_ZERO_'#@#variant
0. 'coq/Coq_Reals_RIneq_cond_nonneg'#@#variant 'h4/thm/real/POW_2_LE1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div2_double' 'h4/thm/transc/ATN_TAN_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lor_nonneg'#@#variant 'h4/thm/arithmetic/ZERO_LESS_MULT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_1_r'#@#variant 'h4/thm/arithmetic/PRE_SUB1_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pos_pred_succ' 'h4/thm/string/char_BIJ_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_1_l'#@#variant 'h4/thm/HolSmt/r221_'#@#variant
0. 'coq/Coq_Reals_RIneq_double'#@#variant 'h4/thm/numeral/iSQR_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_cancel_l' 'h4/thm/complex/COMPLEX_EQ_LADD_'#@#variant
0. 'coq/Coq_ZArith_BinInt_ZL0'#@#variant 'h4/thm/real/REAL_DIV_REFL3_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_le_compat_r' 'h4/thm/hrat/TRAT_MUL_WELLDEFINED_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_div2_div'#@#variant 'h4/thm/arithmetic/PRE_SUB1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_cancel_r' 'h4/thm/integer/INT_EQ_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_null_iff' 'h4/thm/integer/INT_QUOT_CALCULATE_3'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_lub_iff' 'h4/thm/util_prob/MAX_LE_X_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_move_r' 'h4/thm/rat/RAT_RSUB_EQ_'
0. 'coq/Coq_Reals_Rtrigo_def_cosn_no_R0' 'h4/thm/extreal/num_not_infty_0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_factor_l' 'h4/thm/extreal/le_max1_'
0. 'coq/Coq_NArith_BinNat_N_pow_lt_mono_r'#@#variant 'h4/thm/real/REAL_LT_LMUL_IMP_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_clearbit_spec_prime'#@#variant 'h4/thm/complex/COMPLEX_SUB_RNEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_neg_neg'#@#variant 'h4/thm/extreal/lt_mul_neg_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_ones_equiv'#@#variant 'h4/thm/numeral/numeral_pre_e4'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_ge_le_iff' 'h4/thm/integer/INT_GE_CALCULATE_'
0. 'coq/Coq_Lists_List_split_length_l' 'h4/thm/list/LENGTH_UNZIP_0'
0. 'coq/Coq_ZArith_Znat_Z2N_inj_div2' 'h4/thm/extreal/extreal_exp_def_0'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_le_mono' 'h4/thm/divides/LT_PRIMES_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_clearbit_spec_prime'#@#variant 'h4/thm/frac/frac_div_def_'
0. 'coq/Coq_Bool_Bool_orb_negb_r' 'h4/thm/hreal/HRAT_MUL_RINV_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_refl' 'h4/thm/divides/DIVIDES_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_sub_assoc' 'h4/thm/arithmetic/LESS_EQ_ADD_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_le_mono_r' 'h4/thm/integer/INT_LT_RADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_ngt' 'h4/thm/integer/INT_NOT_LE_'
0. 'coq/Coq_ZArith_BinInt_Z_lor_diag' 'h4/thm/real/REAL_MIN_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_gcd_greatest' 'h4/thm/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_nle_gt' 'h4/thm/extreal/extreal_lt_def_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_0_discr' 'h4/thm/intto/BIT2_nz_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_0_succ' 'h4/thm/prim_rec/LESS_0_'
0. 'coq/Coq_ZArith_Znat_positive_N_nat' 'h4/thm/complex/MODU_NUM_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_lub_iff' 'h4/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_nlt_0_r' 'h4/thm/extreal/lt_infty_3'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_eq_0' 'h4/thm/intExtension/INT_NO_ZERODIV_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_lt_mono' 'h4/thm/integerRing/int_rewrites_tLRRRRLRRR'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_asymm' 'h4/thm/realax/HREAL_LT_GT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_nonneg_nonneg' 'h4/thm/integer/INT_LT_MUL_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_iff' 'h4/thm/binary_ieee/rounding_EQ_rounding_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_le_lin'#@#variant 'h4/thm/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Arith_Min_min_idempotent' 'h4/thm/arithmetic/MIN_IDEM_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_pred_sub' 'h4/thm/arithmetic/PRE_SUB1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_1_r' 'h4/thm/integer/INT_MUL_RZERO_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_wB_pos'#@#variant 'h4/thm/transc/PI2_BOUNDS_e1'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_pos_pos' 'h4/thm/realax/REAL_LT_MUL_'
0. 'coq/Coq_Bool_Bool_diff_false_true' 'h4/thm/toto/all_cpn_distinct_tRRL'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lnot_0_l' 'h4/thm/HolSmt/r128_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_involutive' 'h4/thm/complex/CONJ_CONJ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_le_mono_pos_l'#@#variant 'h4/thm/transc/RPOW_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_le_mono_r_iff'#@#variant 'h4/thm/real/REAL_LT_LMUL_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_power_norm' 'h4/thm/real/REAL_POW_LT_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Zle_Qle' 'h4/thm/string/char_gt_def_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_xO_r' 'h4/thm/complex/COMPLEX_MUL_RNEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_eq_cases' 'h4/thm/extreal/le_lt_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_le_mono' 'h4/thm/real/REAL_POS_MONO_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_eq_cases' 'h4/thm/arithmetic/LESS_OR_EQ_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lnot_ones' 'h4/thm/hrat/TRAT_MUL_LINV_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zle_0_nat'#@#variant 'h4/thm/realax/REAL_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_diag' 'h4/thm/arithmetic/MAX_IDEM_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lxor_nilpotent' 'h4/thm/integer/INT_SUB_REFL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_simpl_r' 'h4/thm/real/REAL_ADD_SUB_ALT_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_lt_mono_l' 'h4/thm/integer/INT_LE_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_le_mono' 'h4/thm/hrat/TRAT_INV_WELLDEFINED_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zmult_lt_0_le_compat_r'#@#variant 'h4/thm/real/REAL_LT_RMUL_IMP_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_clearbit_spec_prime'#@#variant 'h4/thm/extreal/extreal_div_def_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_lt_cancel' 'h4/thm/arithmetic/LESS_MONO_REV_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_eq_mul_0' 'h4/thm/rat/RAT_NO_ZERODIV_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_lt' 'h4/thm/extreal/extreal_le_def_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_succ_l' 'h4/thm/arithmetic/ADD_e1'
0. 'coq/Coq_Strings_Ascii_ascii_nat_embedding' 'h4/thm/ieee/num2roundmode_roundmode2num_'
0. 'coq/Coq_Bool_Bool_negb_true_iff' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_lt_mono_pos_l'#@#variant 'h4/thm/transc/RPOW_LT_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_le_max_r' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_1'
0. 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_gt_lt_iff' 'h4/thm/integer/int_ge_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_diag' 'h4/thm/gcd/GCD_REF_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_pred_l' 'h4/thm/bit/BIT_LOG2_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_nonneg_l'#@#variant 'h4/thm/arithmetic/EXP_BASE_LEQ_MONO_IMP_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_divide_refl' 'h4/thm/hrat/TRAT_EQ_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_pos_l'#@#variant 'h4/thm/logroot/LT_EXP_ISO_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sgn_nonneg'#@#variant 'h4/thm/real/REAL_LE_INV_EQ_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sqrt_le_mono' 'h4/thm/divides/LT_PRIMES_'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_double'#@#variant 'h4/thm/extreal/extreal_sqrt_def_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_le_mono' 'h4/thm/prim_rec/LESS_MONO_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_simpl_r' 'h4/thm/complex/COMPLEX_SUB_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_le_mono_r' 'h4/thm/rat/RAT_LES_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_nonneg_nonneg' 'h4/thm/realax/REAL_LT_MUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_add_pos_l'#@#variant 'h4/thm/arithmetic/X_LT_EXP_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_max_r' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_1'
0. 'coq/Coq_NArith_BinNat_N_pow_lt_mono_r_iff'#@#variant 'h4/thm/transc/RPOW_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_le_compat_r' 'h4/thm/integer/TINT_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_nonneg_nonneg' 'h4/thm/realax/REAL_LT_MUL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_nlt_ge' 'h4/thm/arithmetic/NOT_LESS_EQUAL_'
0. 'coq/Coq_Reals_Rtrigo1_tan_neg' 'h4/thm/numeral/numeral_distrib_16'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_odd_opp' 'h4/thm/complex/MODU_NEG_'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_is_pos'#@#variant 'h4/thm/extreal/lt_infty_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_even_1' 'h4/thm/rat/rat_of_num_def_1'
0. 'coq/Coq_NArith_BinNat_N_div_str_pos' 'h4/thm/bit/DIV_GT0_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_gcd_divide_l' 'h4/thm/arithmetic/SUB_LESS_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_le_compat_r' 'h4/thm/extreal/le_radd_imp_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_le_mono' 'h4/thm/real/REAL_POS_MONO_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lcm_eq_0' 'h4/thm/integer/INT_ENTIRE_'#@#variant
0. 'coq/Coq_Arith_Mult_mult_lt_compat_r'#@#variant 'h4/thm/real/REAL_LT_RMUL_IMP_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_le_nlt' 'h4/thm/extreal/extreal_lt_def_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_succ_diag_r' 'h4/thm/prim_rec/LESS_SUC_REFL_'
0. 'coq/Coq_QArith_QArith_base_Qplus_inj_l' 'h4/thm/real/REAL_LE_LADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_lt_mono_r'#@#variant 'h4/thm/integral/REAL_LE_LMUL1_'#@#variant
0. 'coq/Coq_ZArith_Znat_Zabs2N_inj_neg' 'h4/thm/realax/real_of_hreal_'#@#variant
0. 'coq/Coq_ZArith_Zeven_Zeven_odd_bool' 'h4/thm/ratRing/rat_ring_thms_e17'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_0_l' 'h4/thm/integral/LE_0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_le_mono' 'h4/thm/integerRing/int_rewrites_tLRRRLRRRR'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lcm_diag' 'h4/thm/gcd/GCD_REF_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_clearbit_spec_prime'#@#variant 'h4/thm/integer/INT_SUB_RNEG_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_1' 'h4/thm/rat/RAT_AINV_0_'
0. 'coq/Coq_ZArith_BinInt_Z_pred_le_mono' 'h4/thm/numeral/numeral_lte_3'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_move_0_r' 'h4/thm/arithmetic/ABS_DIFF_EQ_0_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_1_l' 'h4/thm/rat/RAT_ADD_LID_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_le_compat_l' 'h4/thm/real/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Arith_Lt_lt_le_S' 'h4/thm/arithmetic/LESS_OR_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_nonneg_r'#@#variant 'h4/thm/arithmetic/DIV_LE_MONOTONE_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pos_pred_succ' 'h4/thm/string/CHR_ORD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_alt_dichotomy' 'h4/thm/extreal/le_total_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_sub_lt_add_r' 'h4/thm/real/REAL_LT_ADD_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_le_compat_l' 'h4/thm/real/REAL_LT_IADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_pred_r' 'h4/thm/complex/COMPLEX_NEG_RDIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_ge_le_iff' 'h4/thm/integer/INT_GT_CALCULATE_'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_pred' 'h4/thm/complex/COMPLEX_OF_REAL_INV_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sub_le_mono_r' 'h4/thm/arithmetic/LE_ADD_RCANCEL_'
0. 'coq/Coq_Reals_RIneq_cond_neg' 'h4/thm/extreal/lt_infty_1'
0. 'coq/Coq_PArith_BinPos_Pos_succ_lt_mono' 'h4/thm/transc/EXP_MONO_LE_'
0. 'coq/Coq_ZArith_BinInt_Z_divide_Zpos' 'h4/thm/integer/INT_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_0_sub'#@#variant 'h4/thm/extreal/sub_zero_le_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_le_mono_pos_r'#@#variant 'h4/thm/rat/RAT_LES_RMUL_POS_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_0_l' 'h4/thm/realax/TREAL_MUL_LID_'#@#variant
0. 'coq/Coq_QArith_Qcanon_Q_apart_0_1'#@#variant 'h4/thm/integer/INT_10_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_le_lin' 'h4/thm/numpair/nsnd_le_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_iff' 'h4/thm/string/ORD_11_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_1' 'h4/thm/integer/INT_ADD_REDUCE_2'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_le_compat_l' 'h4/thm/real/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_m1_0'#@#variant 'h4/thm/transc/PI2_BOUNDS_e1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_le_iff' 'h4/thm/extreal/min_le_'
0. 'coq/Coq_Strings_Ascii_ascii_nat_embedding' 'h4/thm/ASCIInumbers/toNum_toString_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_eq_1_l' 'h4/thm/transc/RPOW_NZ_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_le_mono_r' 'h4/thm/real/REAL_LE_SUB_CANCEL2_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_max_r' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_1'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_nonneg_pos'#@#variant 'h4/thm/real/REAL_LET_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sub_diag' 'h4/thm/real/REAL_SUB_REFL_'#@#variant
0. 'coq/Coq_Reals_SeqProp_CV_plus' 'h4/thm/seq/SEQ_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lcm_diag' 'h4/thm/numeral/iSQR_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_sub' 'h4/thm/complex/COMPLEX_SUB_ADD_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div2_double' 'h4/thm/numeral/numeral_add_0'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_le_incl' 'h4/thm/arithmetic/LESS_IMP_LESS_OR_EQ_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_pos_neg'#@#variant 'h4/thm/extreal/mul_lte_'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_one_neq_zero' 'h4/thm/binary_ieee/rounding_distinct_3'
0. 'coq/Coq_Strings_Ascii_ascii_N_embedding' 'h4/thm/pred_set/pair_to_num_inv_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_le_mono_r' 'h4/thm/hreal/HRAT_LT_RADD_'
0. 'coq/Coq_FSets_FSetPositive_PositiveSet_eq_refl' 'h4/thm/extreal/le_refl_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_1_r'#@#variant 'h4/thm/arithmetic/ADD1_'#@#variant
0. 'coq/Coq_Reals_Rtrigo_def_cosn_no_R0' 'h4/thm/extreal/num_not_infty_e1'
0. 'coq/Coq_Arith_PeanoNat_Nat_lxor_eq_0_iff' 'h4/thm/arithmetic/ABS_DIFF_EQ_0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div_lt'#@#variant 'h4/thm/arithmetic/DIV_LESS_'#@#variant
0. 'coq/Coq_QArith_QOrderedType_QOrder_le_refl' 'h4/thm/real/REAL_LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_sub_r' 'h4/thm/divides/DIVIDES_ADD_1_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_total' 'h4/thm/extreal/lt_total_'
0. 'coq/Coq_ZArith_BinInt_Z_lnot_lxor_r' 'h4/thm/real/REAL_MUL_RNEG_'
0. 'coq/Coq_ZArith_Znat_N2Z_id' 'h4/thm/prelim/num2ordering_ordering2num_'
0. 'coq/Coq_Numbers_Natural_BigN_Nbasic_base_xO'#@#variant 'h4/thm/integer/tint_of_num_e1'#@#variant
0. 'coq/Coq_Reals_RIneq_Rmult_integral' 'h4/thm/extreal/add_not_infty_e1'
0. 'coq/Coq_ZArith_Znat_Nat2Z_id' 'h4/thm/prelim/ordering_BIJ_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftl_mul_pow2'#@#variant 'h4/thm/integer/int_sub_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_refl' 'h4/thm/integer/INT_LE_REFL_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_double_plus_one' 'h4/thm/rat/RAT_AINV_CALCULATE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_lt_mono_l' 'h4/thm/realax/HREAL_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_succ' 'h4/thm/numRing/num_rewrites_tLRLRRR'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_eq_0_r' 'h4/thm/extreal/add_not_infty_e1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_succ' 'h4/thm/numRing/num_rewrites_tLLRRRR'#@#variant
0. 'coq/Coq_Numbers_Cyclic_DoubleCyclic_DoubleBase_wwB_wBwB'#@#variant 'h4/thm/rat/RAT_OF_NUM_e1'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_nge' 'h4/thm/integer/int_le_'
0. 'coq/Coq_PArith_BinPos_Pos_min_le_compat_l' 'h4/thm/integer/INT_LT_LADD_IMP_'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_le_mono' 'h4/thm/divides/LT_PRIMES_'
0. 'coq/Coq_Reals_Exp_prop_exp_pos_pos'#@#variant 'h4/thm/real/REAL_INV_POS_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lt_1_mul_pos'#@#variant 'h4/thm/integer/INT_LTE_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mod_le'#@#variant 'h4/thm/arithmetic/DIV_LESS_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lt_sub_lt_add_l' 'h4/thm/rat/RAT_LSUB_LES_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_divide_mul_l' 'h4/thm/divides/DIVIDES_MULT_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_succ_r' 'h4/thm/arithmetic/LE_e1'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_le' 'h4/thm/extreal/extreal_le_def_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ldiff_ldiff_l' 'h4/thm/logroot/EXP_MUL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_glb_iff' 'h4/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_ZArith_BinInt_Z_gcd_divide_iff' 'h4/thm/extreal/le_min_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_testbit_even_0'#@#variant 'h4/thm/toto/qk_numeralOrd_3'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_le_compat_l' 'h4/thm/integer/TINT_LT_ADD_'#@#variant
0. 'coq/Coq_Bool_Bool_diff_false_true' 'h4/thm/toto/cpn_distinct_1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_1_r'#@#variant 'h4/thm/arithmetic/DIV2_def_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_add_le' 'h4/thm/real/REAL_ABS_TRIANGLE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_add' 'h4/thm/integer/INT_SUB_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_le_mono_r' 'h4/thm/integer/INT_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_1' 'h4/thm/real/REAL_INV_0_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_pred' 'h4/thm/transc/LN_EXP_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gt_lt_iff' 'h4/thm/pred_set/COUNT_applied_'
0. 'coq/Coq_NArith_BinNat_N_shiftl_mul_pow2'#@#variant 'h4/thm/rat/RAT_DIV_MULMINV_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_lt_mono_pos_l'#@#variant 'h4/thm/arithmetic/EXP_BASE_LT_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_lt_mono_pos_r'#@#variant 'h4/thm/real/REAL_LT_RMUL_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_divide_antisym' 'h4/thm/arithmetic/LESS_EQUAL_ANTISYM_'
0. 'coq/Coq_NArith_BinNat_N_sub_le_mono_r' 'h4/thm/integer/TINT_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_invc' 'h4/thm/toto/num_dt_size_def_e2'#@#variant
0. 'coq/Coq_ZArith_Znat_Z_nat_N' 'h4/thm/ieee/Fraction_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_succ_r' 'h4/thm/util_prob/LE_SUC_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_negb_even' 'h4/thm/ratRing/rat_ring_thms_e17'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_le_mono_r_iff' 'h4/thm/integer/INT_LE_MONO_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_le_mono' 'h4/thm/prim_rec/LESS_MONO_'
0. 'coq/Coq_ZArith_Znat_N2Z_id' 'h4/thm/ieee/float_tybij_0'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sub_opp_r' 'h4/thm/integer/int_sub_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lcm_diag' 'h4/thm/arithmetic/MIN_IDEM_'
0. 'coq/Coq_PArith_BinPos_Pos_gcd_greatest' 'h4/thm/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Reals_R_sqr_Rsqr_inv' 'h4/thm/real/REAL_NEG_INV_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_lt_mono_pos_l'#@#variant 'h4/thm/real/REAL_LE_LMUL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_lt_mono_l' 'h4/thm/arithmetic/LE_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_rem_opp_l_prime' 'h4/thm/integer/INT_NEG_LMUL_'
0. 'coq/Coq_ZArith_Znat_Zabs2N_inj_opp' 'h4/thm/complex/MODU_NEG_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_tan_neg' 'h4/thm/transc/SIN_NEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_refl' 'h4/thm/rat/RAT_EQUIV_REF_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_nonneg_nonneg' 'h4/thm/binary_ieee/le2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_ge_le_iff' 'h4/thm/HolSmt/r103_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_lub_iff' 'h4/thm/extreal/max_le_'
0. 'coq/Coq_ZArith_BinInt_Z_opp_le_mono' 'h4/thm/extreal/le_neg_'
0. 'coq/Coq_Arith_PeanoNat_Nat_max_lub_lt_iff' 'h4/thm/arithmetic/MAX_LE_e1'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_pred_double_succ' 'h4/thm/numeral/numeral_pre_e4'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_le_mono' 'h4/thm/numeral/numeral_lt_3'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_refl' 'h4/thm/real/REAL_LE_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_lcm_eq_0' 'h4/thm/integer/INT_ENTIRE_'#@#variant
0. 'coq/Coq_QArith_QArith_base_inject_Z_opp' 'h4/thm/toto/num_dt_size_def_e2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_lt_mono_r' 'h4/thm/arithmetic/LESS_EQ_MONO_ADD_EQ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_eq_0' 'h4/thm/intExtension/INT_NO_ZERODIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_land_diag' 'h4/thm/extreal/max_refl_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_max_l' 'h4/thm/arithmetic/LESS_EQ_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_glb_lt_iff' 'h4/thm/extreal/le_min_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_div_0_l' 'h4/thm/integer/INT_QUOT_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftl_mul_pow2'#@#variant 'h4/thm/integer/INT_SUB_RNEG_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_power_pos' 'h4/thm/extreal/pow_pos_lt_'#@#variant
0. 'coq/Coq_Reals_Rtrigo_calc_sqrt2_neq_0'#@#variant 'h4/thm/ieee/ccode_distinct_e5'
0. 'coq/Coq_Structures_OrderedTypeEx_PositiveOrderedTypeBits_bits_lt_antirefl' 'h4/thm/hreal/HRAT_LT_REFL_'
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_pos_l'#@#variant 'h4/thm/logroot/LE_EXP_ISO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_lcm_l' 'h4/thm/hreal/HRAT_LT_ADDL_'
0. 'coq/Coq_NArith_BinNat_N_log2_lor' 'h4/thm/transc/EXP_SUB_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_inj_wd' 'h4/thm/integral/EQ_SUC_'
0. 'coq/Coq_NArith_BinNat_N_log2_lor' 'h4/thm/complex/COMPLEX_EXP_SUB_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_le_mono' 'h4/thm/integer/TINT_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_le_mono_l' 'h4/thm/hreal/HRAT_LT_LMUL_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_1_l' 'h4/thm/integer/INT_ADD_LID_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_nonneg' 'h4/thm/arithmetic/FACT_LESS_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_l' 'h4/thm/integer/INT_LT_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_simpl_r' 'h4/thm/real/REAL_SUB_ADD_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_of_Z' 'h4/thm/patricia_casts/num_to_string_string_to_num_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_neq_0_succ' 'h4/thm/quote/index_distinct_1'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_1_l'#@#variant 'h4/thm/integral/LE_0_'
0. 'coq/Coq_ZArith_Znat_N2Z_id' 'h4/thm/ieee/roundmode_BIJ_0'
0. 'coq/Coq_ZArith_Znat_Zabs2Nat_id' 'h4/thm/ieee/num2ccode_ccode2num_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_max_l' 'h4/thm/real/REAL_LE_MAX1_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_0_r'#@#variant 'h4/thm/arithmetic/MOD_ONE_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_nonneg_nonpos'#@#variant 'h4/thm/integer/INT_NEG_GT0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_simpl_l' 'h4/thm/complex/COMPLEX_ADD_SUB_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_add_r' 'h4/thm/extreal/le_max1_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_sub_lt_add_r' 'h4/thm/real/REAL_LT_ADD_SUB_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_testbit_even_0'#@#variant 'h4/thm/quote/index_compare_def_4'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_even_1' 'h4/thm/float/FLOAT_INFINITIES_SIGNED_0'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_cancel_r' 'h4/thm/real/REAL_EQ_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_inj_wd' 'h4/thm/string/EXPLODE_11_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_le_mono_r_iff'#@#variant 'h4/thm/int_arith/justify_divides_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_eq_mul_0' 'h4/thm/rat/RAT_NO_ZERODIV_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rgt_ge' 'h4/thm/real/REAL_LT_IMP_LE_'
0. 'coq/Coq_NArith_BinNat_N_lt_neq' 'h4/thm/prim_rec/NOT_LESS_EQ_'
0. 'coq/Coq_NArith_BinNat_N_lnot_ones' 'h4/thm/bit/SUC_SUB_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_lt_mono' 'h4/thm/numeral/numeral_lte_e6'
0. 'coq/Coq_ZArith_BinInt_Z_succ_le_mono' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_divide_mono_r' 'h4/thm/arithmetic/LESS_MONO_MULT_'
0. 'coq/Coq_PArith_BinPos_Pos_max_le_iff' 'h4/thm/util_prob/X_LE_MAX_'
0. 'coq/Coq_PArith_BinPos_Pos_max_le_iff' 'h4/thm/extreal/le_max_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_le_mono' 'h4/thm/numpair/tri_LT_I_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_neq_0_succ' 'h4/thm/num/NOT_SUC_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_nge' 'h4/thm/arithmetic/NOT_LESS_EQUAL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_nlt_ge' 'h4/thm/integer/INT_NOT_LT_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_lt_mono_nonneg'#@#variant 'h4/thm/integer/INT_LT_MUL2_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_le_ngt' 'h4/thm/arithmetic/NOT_LESS_'
0. 'coq/Coq_ZArith_Znat_Zabs2N_inj_pos' 'h4/thm/rat/RAT_SGN_CALCULATE_'
0. 'coq/Coq_Arith_PeanoNat_Nat_odd_1' 'h4/thm/rat/rat_of_num_def_1'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_divide_mono_r' 'h4/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_Zpos' 'h4/thm/integer/INT_LT_CALCULATE_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_cancel_l' 'h4/thm/complex/COMPLEX_EQ_LADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_succ_l' 'h4/thm/real/REAL_MUL_LNEG_'
0. 'coq/Coq_ZArith_BinInt_Z_clearbit_spec_prime'#@#variant 'h4/thm/frac/frac_div_def_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_le_trans' 'h4/thm/rat/RAT_LES_LEQ_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_sub_le_add_r' 'h4/thm/real/REAL_LE_SUB_RADD_'
0. 'coq/Coq_NArith_BinNat_N_lt_irrefl' 'h4/thm/extreal/lt_refl_'
0. 'coq/Coq_PArith_BinPos_Pos_lt_succ_diag_r' 'h4/thm/numpair/tri_le_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_incr_twice_plus_one' 'h4/thm/numRing/num_rewrites_tLRLRRRRRR'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_ngt' 'h4/thm/HolSmt/r115_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_l' 'h4/thm/integer/TINT_LT_ADD_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_log2_double'#@#variant 'h4/thm/util_prob/lg_inv_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_asymm' 'h4/thm/integer/INT_LT_GT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_divide_cancel_r' 'h4/thm/int_arith/INT_DIVIDES_LRMUL_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_lt_mono_r' 'h4/thm/real/REAL_LE_SUB_CANCEL2_'
0. 'coq/Coq_Numbers_Cyclic_ZModulo_ZModulo_Ptail_pos' 'h4/thm/realax/REAL_POS_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_glb_lt' 'h4/thm/divides/DIVIDES_SUB_'
0. 'coq/Coq_Arith_PeanoNat_Nat_compare_succ' 'h4/thm/toto/qk_numeralOrd_6'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_testbit_even_0'#@#variant 'h4/thm/quote/index_compare_def_3'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_id' 'h4/thm/arithmetic/MIN_IDEM_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div_0_l' 'h4/thm/integer/INT_REM0_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_sub_le_add_r' 'h4/thm/integer/INT_LE_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_nlt' 'h4/thm/rat/RAT_LEQ_LES_'
0. 'coq/Coq_Reals_RIneq_Rinv_0_lt_compat'#@#variant 'h4/thm/real/REAL_LE_INV_'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_minus_one_neq_zero'#@#variant 'h4/thm/ieee/ccode_distinct_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_add_lt_sub_r' 'h4/thm/integer/INT_LT_SUB_RADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_nle_gt' 'h4/thm/integer/INT_NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_add_r' 'h4/thm/extreal/le_max1_'
0. 'coq/Coq_NArith_BinNat_N_add_le_mono_l' 'h4/thm/arithmetic/LE_ADD_LCANCEL_'
0. 'coq/Coq_Reals_RIneq_Rplus_ge_compat_r' 'h4/thm/extreal/le_radd_imp_'
0. 'coq/Coq_ZArith_Zquot_Zrem_opp_l' 'h4/thm/integer/INT_MUL_CALCULATE_1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_ge_cases' 'h4/thm/arithmetic/LESS_CASES_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_rem_opp_l_prime' 'h4/thm/arithmetic/ADD_CLAUSES_2'
0. 'coq/Coq_Structures_OrderedTypeEx_PositiveOrderedTypeBits_bits_lt_antirefl' 'h4/thm/string/string_lt_nonrefl_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_opp_eq_mul_m1'#@#variant 'h4/thm/arithmetic/DIV2_def_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_nge' 'h4/thm/rat/RAT_LES_LEQ_'
0. 'coq/Coq_Sets_Multiset_meq_refl' 'h4/thm/rich_list/IS_PREFIX_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_eq_cases' 'h4/thm/arithmetic/LESS_OR_EQ_'
0. 'coq/Coq_Reals_Rfunctions_powerRZ_O' 'h4/thm/real/pow_rat_0'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_succ_r' 'h4/thm/integer/INT_NEG_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_lt_mono_r'#@#variant 'h4/thm/real/REAL_LT_LMUL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_0_sub' 'h4/thm/arithmetic/SUB_LESS_0_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_add_r' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_succ_inj_wd' 'h4/thm/toto/num_dt_11_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_pos_pos' 'h4/thm/realax/REAL_LT_MUL_'
0. 'coq/Coq_PArith_BinPos_Pos_mul_cancel_r' 'h4/thm/real/REAL_EQ_RADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mod_1_r'#@#variant 'h4/thm/arithmetic/MOD_ONE_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_max_le_compat_r' 'h4/thm/extreal/le_radd_imp_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_pred_double_succ' 'h4/thm/numeral_bit/NUMERAL_iDIV2_4'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_pred' 'h4/thm/transc/ATN_TAN_'
0. 'coq/Coq_ZArith_BinInt_Z_eq_mul_0' 'h4/thm/arithmetic/MULT_EQ_0_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_refl' 'h4/thm/poly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lcm_1_l' 'h4/thm/real/REAL_ADD_LID_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_irrefl' 'h4/thm/rat/RAT_LES_REF_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_1' 'h4/thm/integerRing/int_calculate_e13'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ldiff_land' 'h4/thm/complex/COMPLEX_SUB_RNEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_opp_r' 'h4/thm/rat/RAT_DIV_MULMINV_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_asymm' 'h4/thm/real/REAL_LT_GT_'
0. 'coq/Coq_ZArith_BinInt_Z_gcd_divide_l' 'h4/thm/extreal/min_le1_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div_same'#@#variant 'h4/thm/real/REAL_DIV_REFL_'#@#variant
0. 'coq/Coq_Arith_Div2_even_odd_double/0' 'h4/thm/arithmetic/SUC_PRE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_le_mono_pos_r'#@#variant 'h4/thm/logroot/EXP_LE_ISO_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_lt_mono_l' 'h4/thm/hreal/HRAT_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_triangle' 'h4/thm/real/REAL_ABS_TRIANGLE_'
0. 'coq/Coq_ZArith_BinInt_Z_lcm_1_l' 'h4/thm/integer/INT_SUB_REDUCE_1'
0. 'coq/Coq_NArith_BinNat_N_double_spec'#@#variant 'h4/thm/integer/INT_NEG_MINUS1_'#@#variant
0. 'coq/Coq_Reals_RIneq_cond_nonneg' 'h4/thm/realax/REAL_POS_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_double_size_level' 'h4/thm/extreal/extreal_abs_def_0'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_lt_mono_r' 'h4/thm/arithmetic/LESS_EQ_MONO_ADD_EQ_'
0. 'coq/Coq_ZArith_BinInt_Z_pred_inj_wd' 'h4/thm/string/IMPLODE_11_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_divide_r' 'h4/thm/real/REAL_MIN_LE2_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_pos_neg'#@#variant 'h4/thm/extreal/mul_le_'#@#variant
0. 'coq/Coq_ZArith_Zquot_Z_rem_same' 'h4/thm/real/REAL_SUB_REFL_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lcm_1_r' 'h4/thm/HolSmt/r080_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_nonneg_l'#@#variant 'h4/thm/integral/REAL_LE_LMUL1_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_le_mono' 'h4/thm/numeral/numeral_distrib_28'
0. 'coq/Coq_ZArith_Zlogarithm_Zlog2_log_inf' 'h4/thm/ratRing/rat_ring_thms_e17'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_lt' 'h4/thm/integer/INT_ABS_LE_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_lt_mono' 'h4/thm/real/REAL_LE_NEG_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_succ_max_distr' 'h4/thm/real/ABS_TRIANGLE_'
0. 'coq/Coq_PArith_BinPos_Pos_lt_add_diag_r' 'h4/thm/extreal/le_max1_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_succ_le_mono' 'h4/thm/integerRing/int_rewrites_tRRRRRRLRRRR'
0. 'coq/Coq_ZArith_BinInt_Z_pred_inj_wd' 'h4/thm/prim_rec/INV_SUC_EQ_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_cancel_r' 'h4/thm/arithmetic/LESS_EQ_MONO_ADD_EQ_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_is_pos'#@#variant 'h4/thm/binary_ieee/zero_le_twopow_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_lcm_r' 'h4/thm/extreal/le_max2_'
0. 'coq/Coq_ZArith_Znat_Zabs2Nat_id' 'h4/thm/patricia_casts/num_to_string_string_to_num_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_nonneg_pos'#@#variant 'h4/thm/extreal/let_add_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_le_mono_r' 'h4/thm/real/REAL_LE_SUB_CANCEL2_'
0. 'coq/Coq_ZArith_BinInt_Z_succ_le_mono' 'h4/thm/integerRing/int_rewrites_tLRRRLRRRR'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_neg_neg'#@#variant 'h4/thm/extreal/le_mul_neg_'#@#variant
0. 'coq/Coq_ZArith_Zlogarithm_log_inf_correct1'#@#variant 'h4/thm/extreal/lt_infty_0'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_sub_max'#@#variant 'h4/thm/DeepSyntax/deep_form_size_def_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_lt_cancel' 'h4/thm/arithmetic/LESS_MONO_REV_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_succ_l' 'h4/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_lt_mono' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Reals_Rpower_ln_exp' 'h4/thm/string/IMPLODE_EXPLODE_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_le_succ_r' 'h4/thm/arithmetic/LE_e1'
0. 'coq/Coq_MSets_MSetPositive_PositiveSet_E_bits_lt_antirefl' 'h4/thm/rat/RAT_LES_REF_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_cancel_l' 'h4/thm/complex/COMPLEX_EQ_LADD_'#@#variant
0. 'coq/Coq_ZArith_Zeven_Zquot2_opp' 'h4/thm/DeepSyntax/posinf_def_2'
0. 'coq/Coq_ZArith_BinInt_Z_abs_eq_iff'#@#variant 'h4/thm/integer/INT_ABS_EQ_ID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div2_double' 'h4/thm/transc/ATN_TAN_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_div2' 'h4/thm/DeepSyntax/deep_form_size_def_2'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_pred_double_spec' 'h4/thm/numeral/numeral_suc_1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_nonneg' 'h4/thm/transc/ATN_0'#@#variant
0. 'coq/Coq_Arith_Gt_plus_gt_compat_l' 'h4/thm/realax/TREAL_LT_ADD_'#@#variant
0. 'coq/Coq_Sets_Powerset_facts_Empty_set_zero' 'h4/thm/sptree/union_def_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_succ_r_prime' 'h4/thm/arithmetic/MULT_SUC_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_add_le' 'h4/thm/real/ABS_TRIANGLE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_neg_pos'#@#variant 'h4/thm/real/REAL_NEG_LE0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_le_mono' 'h4/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Reals_ROrderedType_ROrder_lt_irrefl' 'h4/thm/realax/TREAL_LT_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_1_mul_pos'#@#variant 'h4/thm/arithmetic/ONE_LT_MULT_IMP_'#@#variant
0. 'coq/Coq_Arith_Plus_le_plus_l' 'h4/thm/real/REAL_LE_MAX1_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_eq_opp_r' 'h4/thm/rat/RAT_AINV_EQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_double_spec'#@#variant 'h4/thm/extreal/inv_1over_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_id' 'h4/thm/arithmetic/MAX_IDEM_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_eq_0_r' 'h4/thm/intExtension/INT_NOT0_MUL_'#@#variant
0. 'coq/Coq_Reals_RList_RList_P1' 'h4/thm/extreal/pow_pos_le_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_total' 'h4/thm/real/REAL_LT_TOTAL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_succ_l' 'h4/thm/integer/INT_NEG_LMUL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_le_mono_r' 'h4/thm/arithmetic/LESS_MONO_ADD_EQ_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_id' 'h4/thm/toto/cpn_BIJ_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_succ' 'h4/thm/numRing/num_rewrites_tRRLRRR'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lnot_ones' 'h4/thm/real/REAL_ADD_LINV_'#@#variant
0. 'coq/Coq_Bool_Bool_andb_diag' 'h4/thm/extreal/max_refl_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_Zpos' 'h4/thm/real/REAL_LT_'
0. 'coq/Coq_QArith_QOrderedType_QOrder_lt_irrefl' 'h4/thm/real/REAL_LT_REFL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_cancel_l' 'h4/thm/rat/RAT_EQ_LMUL_'#@#variant
0. 'coq/Coq_QArith_Qreduction_Qred_correct' 'h4/thm/numpair/invtri_le_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_le_trans' 'h4/thm/arithmetic/LESS_LESS_EQ_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_inj_wd' 'h4/thm/integer/INT_EQ_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_lt_mono_l' 'h4/thm/real/REAL_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_1_r' 'h4/thm/integer/INT_ADD_RID_'
0. 'coq/Coq_Arith_PeanoNat_Nat_min_glb_iff' 'h4/thm/integral/REAL_LT_MIN_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_1_r' 'h4/thm/real/REAL_SUB_RZERO_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_divide_mono_l' 'h4/thm/real/REAL_LT_IADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_le_compat_r' 'h4/thm/integer/TINT_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_le_mono_r' 'h4/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_NArith_BinNat_N_add_succ_l' 'h4/thm/real/REAL_MUL_LNEG_'
0. 'coq/Coq_ZArith_Zorder_Zeq_plus_swap' 'h4/thm/integer/INT_EQ_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_add_lt_sub_r' 'h4/thm/real/REAL_LT_SUB_LADD_'
0. 'coq/Coq_ZArith_BinInt_Z_add_lt_mono_l' 'h4/thm/hreal/HRAT_LT_LADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_lub_iff' 'h4/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_add_r' 'h4/thm/arithmetic/LESS_EQ_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lcm_1_l' 'h4/thm/HolSmt/r221_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_nonneg_nonneg' 'h4/thm/realax/REAL_LT_MUL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_lt_iff' 'h4/thm/extreal/min_le_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_lt_mono_r' 'h4/thm/arithmetic/LESS_EQ_MONO_ADD_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_eq_opp_l' 'h4/thm/rat/RAT_AINV_EQ_'
0. 'coq/Coq_NArith_BinNat_N_add_lt_mono_l' 'h4/thm/arithmetic/ADD_MONO_LESS_EQ_'
0. 'coq/Coq_Arith_PeanoNat_Nat_land_diag' 'h4/thm/real/REAL_MAX_REFL_'
0. 'coq/Coq_fourier_Fourier_util_Rfourier_eqLR_to_le' 'h4/thm/HolSmt/t006_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_refl' 'h4/thm/hrat/TRAT_EQ_REFL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_shiftr_opp_r' 'h4/thm/integer/int_sub_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_xO_r' 'h4/thm/arithmetic/ADD_SUC_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_lcm_r' 'h4/thm/hreal/HRAT_LT_ADDR_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_compare_xO_xO' 'h4/thm/toto/num_dtOrd_7'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_sub_assoc' 'h4/thm/arithmetic/LESS_EQ_ADD_SUB_'
0. 'coq/Coq_NArith_BinNat_N_log2_le_lin'#@#variant 'h4/thm/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lor_eq_0_iff' 'h4/thm/gcd/GCD_EQ_0_'
0. 'coq/Coq_ZArith_BinInt_Z_add_nonneg_nonneg' 'h4/thm/realax/TREAL_LT_MUL_'#@#variant
0. 'coq/Coq_Reals_Rminmax_Rmin_r' 'h4/thm/real/REAL_MIN_ALT_e1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_setbit_spec_prime'#@#variant 'h4/thm/complex/complex_div_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_max_lub_iff' 'h4/thm/extreal/max_le_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_opp_l' 'h4/thm/HolSmt/r132_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_eq_cases' 'h4/thm/extreal/le_lt_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_rem' 'h4/thm/integer/INT_MOD_PLUS_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lnot_lxor_l' 'h4/thm/int_arith/move_sub_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_neg_neg'#@#variant 'h4/thm/extreal/lt_mul_neg_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_le' 'h4/thm/integer/INT_ABS_LE_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_quot_1_r' 'h4/thm/extreal/sub_rzero_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_irrefl' 'h4/thm/realax/TREAL_LT_REFL_'#@#variant
0. 'coq/Coq_Reals_RIneq_Ropp_mult_distr_l_reverse' 'h4/thm/real/REAL_MUL_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_le_mono_r' 'h4/thm/arithmetic/LT_ADD_RCANCEL_'
0. 'coq/Coq_ZArith_BinInt_Z_leb_le' 'h4/thm/quote/index_lt_def_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mod_1_l'#@#variant 'h4/thm/arithmetic/ZERO_MOD_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_of_Qc' 'h4/thm/complex/MODU_NUM_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_le_compat_r' 'h4/thm/arithmetic/LESS_MONO_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_lcm_r' 'h4/thm/extreal/le_max2_'
0. 'coq/Coq_Reals_RIneq_cond_pos'#@#variant 'h4/thm/real/POW_2_LE1_'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_ge_le_iff' 'h4/thm/string/string_ge_def_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_red' 'h4/thm/quote/index_size_def_0'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_ngt' 'h4/thm/HolSmt/r096_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_diag' 'h4/thm/integer/INT_SUB_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_div2' 'h4/thm/numpair/invtri_lower_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_eq_mul_0_r' 'h4/thm/intExtension/INT_NOT0_MUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_1_r' 'h4/thm/integer/INT_SUB_RZERO_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_neq' 'h4/thm/realax/HREAL_LT_NE_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_add_diag_r' 'h4/thm/integer/INT_DIVIDES_MUL_0'
0. 'coq/Coq_Arith_PeanoNat_Nat_lor_eq_0_iff' 'h4/thm/arithmetic/ADD_EQ_0_'
0. 'coq/Coq_ZArith_BinInt_Z_Even_succ' 'h4/thm/binary_ieee/exp_gt2_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pred_le_mono' 'h4/thm/real/REAL_POS_MONO_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_gt_lt_iff' 'h4/thm/HolSmt/r103_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_cancel_l' 'h4/thm/real/REAL_EQ_LMUL2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_le_mono' 'h4/thm/integerRing/int_rewrites_tLRRRLRRRR'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_ge_le_iff' 'h4/thm/real/real_gt_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_lt_mono_l' 'h4/thm/integer/INT_LE_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_sub_lt_add_r' 'h4/thm/integer/INT_LT_SUB_RADD_'
0. 'coq/Coq_NArith_BinNat_N_lt_add_lt_sub_r' 'h4/thm/rat/RAT_RSUB_LES_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mod_1_l'#@#variant 'h4/thm/arithmetic/ZERO_DIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_le_compat_l' 'h4/thm/integer/TINT_LT_ADD_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_sin_lb_gt_0'#@#variant 'h4/thm/transc/SIN_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_le_iff' 'h4/thm/real/REAL_LE_MAX_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div_str_pos' 'h4/thm/bit/DIV_GT0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pos_pred_succ' 'h4/thm/ASCIInumbers/toString_toNum_cancel_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pos_pred_succ' 'h4/thm/binary_ieee/rounding_BIJ_0'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_lub_lt_iff' 'h4/thm/arithmetic/MAX_LT_e1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_trichotomy' 'h4/thm/real/REAL_LT_TOTAL_'
0. 'coq/Coq_ZArith_Znat_positive_nat_Z' 'h4/thm/rat/rat_dnm_def_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_neq' 'h4/thm/hreal/HRAT_LT_NE_'
0. 'coq/Coq_NArith_BinNat_N_neq_0_succ' 'h4/thm/toto/num_dt_distinct_1'
0. 'coq/Coq_Arith_Max_le_max_l' 'h4/thm/real/REAL_LE_MAX1_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_div2' 'h4/thm/extreal/extreal_inv_def_e2'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_opp_l' 'h4/thm/rat/RAT_AINV_LMUL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_divide/1' 'h4/thm/extreal/min_le2_'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_lt_mono_r_iff'#@#variant 'h4/thm/integer/INT_LT_MONO_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qmult_lt_compat_r'#@#variant 'h4/thm/real/REAL_LT_RMUL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_le_mono_l' 'h4/thm/integer/LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_0_l' 'h4/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_divide_mul_l' 'h4/thm/arithmetic/LESS_IMP_LESS_ADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_succ_lt_mono' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_cancel_l' 'h4/thm/hreal/HRAT_EQ_LADD_'
0. 'coq/Coq_Reals_Rfunctions_R_dist_plus' 'h4/thm/arithmetic/ABS_DIFF_SUMS_'
0. 'coq/Coq_NArith_BinNat_N_add_le_mono_l' 'h4/thm/hreal/HRAT_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_lt_mono_r' 'h4/thm/arithmetic/LESS_MONO_ADD_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_le_lin' 'h4/thm/numpair/nsnd_le_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_nlt_1_r' 'h4/thm/prim_rec/NOT_LESS_0_'
0. 'coq/Coq_ZArith_Zsqrt_compat_Zsqrt_equiv' 'h4/thm/extreal/inv_1over_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_lt_mono_r' 'h4/thm/arithmetic/LE_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_lt_iff' 'h4/thm/extreal/le_max_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_1' 'h4/thm/integer/INT_ADD_REDUCE_2'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_divide_mono_l' 'h4/thm/realax/REAL_LT_IADD_'
0. 'coq/Coq_ZArith_BinInt_Z_eq_le_incl' 'h4/thm/integer/TINT_EQ_AP_'#@#variant
0. 'coq/Coq_Reals_ROrderedType_ROrder_not_gt_le' 'h4/thm/integer/INT_LTE_TOTAL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_greatest' 'h4/thm/divides/DIVIDES_ADD_1_'
0. 'coq/Coq_Reals_Ratan_atan_bound/1'#@#variant 'h4/thm/transc/ATN_1'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_ldiff_land' 'h4/thm/real/real_sub_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lor_eq_0_l' 'h4/thm/transc/RPOW_NZ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_0_sub'#@#variant 'h4/thm/integer/INT_SUB_LE_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_nlt_ge' 'h4/thm/arithmetic/NOT_LESS_EQUAL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_opp_r' 'h4/thm/rat/RAT_AINV_RMUL_'
0. 'coq/Coq_NArith_BinNat_N_log2_up_double'#@#variant 'h4/thm/util_prob/lg_inv_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_cancel_r' 'h4/thm/real/REAL_EQ_RADD_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_iff' 'h4/thm/binary_ieee/rounding2num_11_'
0. 'coq/Coq_PArith_BinPos_Pos_nlt_1_r' 'h4/thm/bit/BIT_ZERO_'
0. 'coq/Coq_ZArith_BinInt_Zplus_succ_r_reverse' 'h4/thm/complex/COMPLEX_NEG_RMUL_'#@#variant
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_iff' 'h4/thm/DeepSyntax/deep_form_11_6'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_compare_succ' 'h4/thm/quote/index_compare_def_5'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_0_l' 'h4/thm/realax/TREAL_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mod_1_r'#@#variant 'h4/thm/util_prob/logr_1_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qplus_lt_r' 'h4/thm/arithmetic/LT_ADD_LCANCEL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_lt_mono' 'h4/thm/transc/EXP_MONO_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_negb_even' 'h4/thm/util_prob/lg_pow_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_nle' 'h4/thm/integer/int_le_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_mul_l' 'h4/thm/divides/DIVIDES_MULT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_succ_l' 'h4/thm/arithmetic/LESS_EQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_le_mono_r_iff'#@#variant 'h4/thm/real/REAL_LE_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_succ_inj_wd' 'h4/thm/string/IMPLODE_11_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div_1_r' 'h4/thm/HolSmt/r080_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_trichotomy' 'h4/thm/string/string_lt_cases_'#@#variant
0. 'coq/Coq_QArith_Qreduction_Qred_comp' 'h4/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_1_l' 'h4/thm/extreal/le_infty_tLL'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_ngt' 'h4/thm/real/real_lte_'
0. 'coq/Coq_ZArith_Znat_Zabs2N_inj_neg' 'h4/thm/complex/MODU_NUM_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_eq_le_incl' 'h4/thm/HolSmt/t007_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_sub_distr' 'h4/thm/integer/INT_SUB_LNEG_'
0. 'coq/Coq_Reals_Rtrigo_calc_sqrt2_neq_0'#@#variant 'h4/thm/binary_ieee/float_compare_distinct_e5'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_ge_cases' 'h4/thm/integer/INT_LE_TOTAL_'
0. 'coq/Coq_QArith_Qabs_Qabs_wd' 'h4/thm/numpair/tri_LT_I_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_le_mono' 'h4/thm/prim_rec/LESS_MONO_'
0. 'coq/Coq_NArith_BinNat_N_pow_1_l' 'h4/thm/extreal/mul_lzero_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_nge' 'h4/thm/real/real_lte_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_sqrt' 'h4/thm/complex/COMPLEX_OF_REAL_NEG_'#@#variant
0. 'coq/Coq_ZArith_Znat_positive_nat_N' 'h4/thm/rat/rat_dnm_def_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_div2' 'h4/thm/extreal/extreal_abs_def_0'
0. 'coq/Coq_ZArith_BinInt_Z_opp_le_mono' 'h4/thm/rat/RAT_LES_AINV_'
0. 'coq/Coq_Reals_Rbasic_fun_Rle_max_compat_l' 'h4/thm/real/REAL_LE_LADD_IMP_'
0. 'coq/Coq_ZArith_BinInt_Z_pred_inj_wd' 'h4/thm/complex/CONJ_EQ2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_compare_xO_xO' 'h4/thm/quote/index_compare_def_7'
0. 'coq/Coq_Reals_Ratan_pow2_ge_0'#@#variant 'h4/thm/extreal/le_pow2_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sub_cancel_r' 'h4/thm/real/REAL_EQ_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_cancel_l' 'h4/thm/integer/INT_EQ_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_le_mono_pos_r'#@#variant 'h4/thm/logroot/EXP_LT_ISO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_eq_0' 'h4/thm/gcd/GCD_EQ_0_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_lt_mono_l' 'h4/thm/arithmetic/ADD_MONO_LESS_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_le_iff' 'h4/thm/arithmetic/MAX_LE_0'
0. 'coq/Coq_NArith_BinNat_N_lt_0_succ' 'h4/thm/transc/ATN_BOUNDS_0'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_ldiff_land' 'h4/thm/rat/RAT_SUB_ADDAINV_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_trichotomy' 'h4/thm/extreal/lt_total_'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_eqke_refl'#@#variant 'h4/thm/rich_list/IS_SUFFIX_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ldiff_ldiff_l' 'h4/thm/logroot/EXP_MUL_'
0. 'coq/Coq_Reals_R_Ifp_Int_part_INR' 'h4/thm/rat/rat_sgn_def_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_ge_cases' 'h4/thm/real/REAL_LTE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_pred_le' 'h4/thm/arithmetic/OR_LESS_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_square_spec' 'h4/thm/arithmetic/TIMES2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_le_mono' 'h4/thm/numeral/numeral_lt_3'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_lteq' 'h4/thm/integer/INT_LE_CALCULATE_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_ltb_lt' 'h4/thm/quote/index_lt_def_'
0. 'coq/Coq_ZArith_Znat_N2Z_id' 'h4/thm/toto/num2cpn_cpn2num_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_0_iff' 'h4/thm/integer/INT_ABS_EQ0_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_double_size_level' 'h4/thm/toto/num_dt_size_def_e2'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zgt_irrefl' 'h4/thm/realax/TREAL_LT_REFL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sub_max_distr_l' 'h4/thm/transc/RPOW_SUB_'
0. 'coq/Coq_NArith_BinNat_N_min_le_compat_r' 'h4/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_xO'#@#variant 'h4/thm/complex/COMPLEX_OF_REAL_NEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_quot_same'#@#variant 'h4/thm/real/REAL_DIV_REFL_'#@#variant
0. 'coq/Coq_Lists_List_incl_tran' 'h4/thm/rich_list/IS_PREFIX_TRANS_'
0. 'coq/Coq_NArith_BinNat_N_mul_lt_mono_pos_r'#@#variant 'h4/thm/rat/RAT_LES_RMUL_POS_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_log2' 'h4/thm/rat/RAT_AINV_CALCULATE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_lt_mono_r_iff'#@#variant 'h4/thm/integer/INT_LE_MONO_'#@#variant
0. 'coq/Coq_Reals_Raxioms_Rlt_asym' 'h4/thm/real/REAL_LT_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_lcm_l' 'h4/thm/hreal/HRAT_LT_ADDL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mod_small' 'h4/thm/real/REAL_MIN_ALT_0'
0. 'coq/Coq_NArith_BinNat_N_sqrt_mul_below' 'h4/thm/real/REAL_SUB_ABS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_clearbit_spec_prime'#@#variant 'h4/thm/real/real_div_'
0. 'coq/Coq_NArith_BinNat_N_mul_divide_mono_l' 'h4/thm/integer/TINT_LT_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_le_compat_r' 'h4/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_lt' 'h4/thm/integer/INT_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_cancel_r' 'h4/thm/integer/INT_EQ_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_nge' 'h4/thm/arithmetic/NOT_LESS_EQUAL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_1_mul_pos'#@#variant 'h4/thm/arithmetic/ONE_LT_MULT_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_lxor_r' 'h4/thm/complex/COMPLEX_NEG_RMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_asymm' 'h4/thm/real/REAL_LT_ANTISYM_'
0. 'coq/Coq_QArith_QArith_base_Zle_Qle' 'h4/thm/extreal/extreal_le_def_0'
0. 'coq/Coq_Arith_PeanoNat_Nat_eq_0_gt_0_cases'#@#variant 'h4/thm/arithmetic/LESS_0_CASES_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_nonneg'#@#variant 'h4/thm/integer/INT_NEG_GE0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div_1_r' 'h4/thm/integer/INT_ADD_RID_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_compare_succ_succ' 'h4/thm/quote/index_compare_def_5'
0. 'coq/Coq_NArith_BinNat_N_lnot_0_l' 'h4/thm/integer/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lnot_ones' 'h4/thm/hrat/HRAT_MUL_LINV_'
0. 'coq/Coq_ZArith_BinInt_Z_add_diag'#@#variant 'h4/thm/numeral/iDUB_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_refl' 'h4/thm/rat/RAT_LEQ_REF_'
0. 'coq/Coq_Arith_PeanoNat_Nat_max_le_compat_r' 'h4/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lxor_m1_r'#@#variant 'h4/thm/arithmetic/ADD1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_glb_iff' 'h4/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_le_compat_r' 'h4/thm/hrat/TRAT_MUL_WELLDEFINED_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lnot_nonneg'#@#variant 'h4/thm/real/REAL_NEG_GT0_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zsucc_gt_compat' 'h4/thm/numpair/tri_LT_I_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pred_succ' 'h4/thm/numeral/DIV2_BIT1_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_glb' 'h4/thm/divides/DIVIDES_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_1_r' 'h4/thm/real/REAL_ADD_RID_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_succ_le_pred' 'h4/thm/bit/TWOEXP_LE_IMP_LE_LOG2_0'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_add_succ_r' 'h4/thm/extreal/mul_rneg_'
0. 'coq/Coq_NArith_BinNat_N_mul_divide_mono_l' 'h4/thm/extreal/le_ladd_imp_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_1_l'#@#variant 'h4/thm/util_prob/lg_def_'#@#variant
0. 'coq/Coq_ZArith_Zeven_Zquot2_opp' 'h4/thm/complex/CONJ_INV_'#@#variant
0. 'coq/Coq_Reals_Rfunctions_pow_O' 'h4/thm/integer/INT_EXP_CALCULATE_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_asymm' 'h4/thm/integer/INT_LT_ANTISYM_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_ldiff' 'h4/thm/integer/INT_SUB_LNEG_'
0. 'coq/Coq_PArith_BinPos_Pos_succ_lt_mono' 'h4/thm/transc/EXP_MONO_LT_'
0. 'coq/Coq_NArith_BinNat_N_divide_lcm_r' 'h4/thm/hreal/HRAT_LT_ADDR_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_succ'#@#variant 'h4/thm/integer/tint_of_num_e1'#@#variant
0. 'coq/Coq_NArith_BinNat_N_log2_up_pos'#@#variant 'h4/thm/transc/EXP_LT_1_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div2_div'#@#variant 'h4/thm/arithmetic/PRE_SUB1_'#@#variant
0. 'coq/Coq_Init_Peano_plus_n_Sm' 'h4/thm/complex/COMPLEX_NEG_RMUL_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_add_succ_l' 'h4/thm/real/REAL_MUL_LNEG_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_lt_mono_nonneg'#@#variant 'h4/thm/real/REAL_LT_MUL2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_refl' 'h4/thm/divides/DIVIDES_REFL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_0_succ' 'h4/thm/transc/ATN_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_max_l' 'h4/thm/hreal/HRAT_LT_ADDL_'
0. 'coq/Coq_ZArith_BinInt_Zplus_succ_r_reverse' 'h4/thm/real/REAL_NEG_RMUL_'
0. 'coq/Coq_ZArith_Zeven_Zeven_not_Zodd' 'h4/thm/float/FLOAT_DISTINCT_4'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_l' 'h4/thm/real/REAL_MIN_ALT_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_succ_r' 'h4/thm/complex/COMPLEX_NEG_RDIV_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_max_lub_lt_iff' 'h4/thm/util_prob/MAX_LE_X_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sub_0_le' 'h4/thm/arithmetic/SUB_EQ_0_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_pos_pred' 'h4/thm/util_prob/lg_pow_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_2' 'h4/thm/util_prob/HALF_LT_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_compare_succ_succ' 'h4/thm/quote/index_compare_def_5'
0. 'coq/Coq_PArith_BinPos_Pos_xI_succ_xO' 'h4/thm/numeral_bit/NUMERAL_iDIV2_4'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_gt_cases' 'h4/thm/real/REAL_LTE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_Zpos' 'h4/thm/integer/INT_LT_CALCULATE_0'
0. 'coq/Coq_PArith_BinPos_Pos_add_1_r' 'h4/thm/arithmetic/ADD1_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_le_sub_le_add_l' 'h4/thm/arithmetic/SUB_RIGHT_LESS_EQ_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_id' 'h4/thm/ieee/ccode_BIJ_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_max_distr_l' 'h4/thm/transc/RPOW_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_nonneg_nonneg' 'h4/thm/arithmetic/LESS_MULT2_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_nonneg' 'h4/thm/transc/ATN_BOUNDS_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_pos'#@#variant 'h4/thm/transc/EXP_LT_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_ngt' 'h4/thm/HolSmt/r115_'
0. 'coq/Coq_NArith_Nnat_Nat2N_id' 'h4/thm/ASCIInumbers/toString_toNum_cancel_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_le_lin'#@#variant 'h4/thm/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pred_div2_up' 'h4/thm/extreal/extreal_sqrt_def_0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftr_div_pow2'#@#variant 'h4/thm/extreal/extreal_div_def_'
0. 'coq/Coq_Reals_RIneq_cond_pos'#@#variant 'h4/thm/binary_ieee/zero_le_twopow_'#@#variant
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_bounded/1'#@#variant 'h4/thm/extreal/lt_infty_1'
0. 'coq/Coq_Reals_RIneq_Rplus_gt_compat_r' 'h4/thm/arithmetic/LESS_MONO_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_lt_mono_r' 'h4/thm/arithmetic/LE_ADD_RCANCEL_'
0. 'coq/Coq_Reals_RIneq_Ropp_mult_distr_l' 'h4/thm/arithmetic/ADD_e1'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_sub' 'h4/thm/integer/INT_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_id' 'h4/thm/arithmetic/MIN_IDEM_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_nge' 'h4/thm/real/REAL_NOT_LT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_total' 'h4/thm/rat/RAT_LES_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_succ_l' 'h4/thm/arithmetic/ADD_e1'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_r' 'h4/thm/real/REAL_MIN_ALT_e1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_nle_succ_0' 'h4/thm/arithmetic/NOT_SUC_LESS_EQ_0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_pos_nonneg'#@#variant 'h4/thm/util_prob/REAL_LE_LT_MUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_ge_cases' 'h4/thm/extreal/le_total_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gt_lt_iff' 'h4/thm/arithmetic/GREATER_DEF_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_inj_wd' 'h4/thm/prim_rec/INV_SUC_EQ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_involutive' 'h4/thm/extreal/neg_neg_'
0. 'coq/Coq_ZArith_Zeven_Zodd_Sn' 'h4/thm/transc/LN_POS_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_pred_l' 'h4/thm/frac/FRAC_AINV_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_add' 'h4/thm/complex/COMPLEX_SUB_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_ge_cases' 'h4/thm/arithmetic/LESS_CASES_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_gt' 'h4/thm/extreal/extreal_le_def_0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_lt_iff' 'h4/thm/extreal/min_le_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_double_plus_one' 'h4/thm/complex/COMPLEX_OF_REAL_NEG_'#@#variant
0. 'coq/Coq_Reals_Ratan_atan_opp' 'h4/thm/float/REAL_ABS_INV_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_neg_neg'#@#variant 'h4/thm/extreal/le_mul_neg_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_succ_inj_wd' 'h4/thm/toto/num_dt_11_0'
0. 'coq/Coq_Arith_PeanoNat_Nat_pred_le_mono' 'h4/thm/divides/LT_PRIMES_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_le' 'h4/thm/integer/INT_LE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_1_r' 'h4/thm/integer/INT_SUB_REDUCE_0'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_le_mono_l' 'h4/thm/integer/INT_LE_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_1' 'h4/thm/integerRing/int_calculate_e13'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_opp' 'h4/thm/transc/TAN_NEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_add_le' 'h4/thm/real/ABS_TRIANGLE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_max_r' 'h4/thm/hreal/HRAT_LT_ADDR_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_total' 'h4/thm/extreal/lt_total_'
0. 'coq/Coq_MMaps_MMapPositive_PositiveMap_lt_rev_append' 'h4/thm/extreal/le_ladd_imp_'
0. 'coq/Coq_NArith_BinNat_N_mod_1_r'#@#variant 'h4/thm/arithmetic/MOD_1_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_succ_inj_wd' 'h4/thm/transc/EXP_INJ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_eq_cases' 'h4/thm/real/REAL_LE_LT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_lt_mono' 'h4/thm/transc/EXP_MONO_LT_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_pow_succ_r' 'h4/thm/arithmetic/MULT_CLAUSES_e5'
0. 'coq/Coq_ZArith_BinInt_Zplus_succ_r_reverse' 'h4/thm/extreal/mul_rneg_'
0. 'coq/Coq_NArith_BinNat_N_neq_0_succ' 'h4/thm/num/NOT_SUC_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_0_mul_prime'#@#variant 'h4/thm/arithmetic/ZERO_LESS_MULT_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_succ_lt_mono' 'h4/thm/integerRing/int_rewrites_tLRRRRLRRR'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_le_mono' 'h4/thm/hrat/TRAT_INV_WELLDEFINED_'#@#variant
0. 'coq/Coq_fourier_Fourier_util_Rfourier_le'#@#variant 'h4/thm/integral/REAL_LE_LMUL1_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_divide' 'h4/thm/integer/INT_LT_CALCULATE_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_glb_iff' 'h4/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_NArith_BinNat_N_le_refl' 'h4/thm/real/REAL_LE_REFL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pred_div2_up' 'h4/thm/extreal/extreal_exp_def_0'
0. 'coq/Coq_Reals_Rpower_exp_Ropp' 'h4/thm/numeral/numeral_iisuc_e2'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_succ_r' 'h4/thm/float/LT_SUC_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_lt_mono' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_1_l' 'h4/thm/integer/INT_SUB_REDUCE_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_max_r' 'h4/thm/extreal/le_max2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ge_le_iff' 'h4/thm/rat/rat_gre_def_'
0. 'coq/Coq_Reals_PartSum_cauchy_abs' 'h4/thm/seq/SER_ACONV_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_pred_l' 'h4/thm/extreal/mul_lneg_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_shuffle3' 'h4/thm/HolSmt/r220_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_succ_r' 'h4/thm/complex/COMPLEX_MUL_RNEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_irrefl' 'h4/thm/rat/RAT_LES_REF_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_le_compat_r' 'h4/thm/extreal/le_radd_imp_'
0. 'coq/Coq_ZArith_Zquot_Zrem_opp_l' 'h4/thm/complex/COMPLEX_NEG_LDIV_'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_iff' 'h4/thm/binary_ieee/rounding2num_11_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_sub_assoc' 'h4/thm/arithmetic/LESS_EQ_ADD_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_succ' 'h4/thm/numeral_bit/numeral_ilog2_e2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_glb_lt_iff' 'h4/thm/arithmetic/MIN_LE_e1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_opp_l' 'h4/thm/complex/COMPLEX_MUL_LNEG_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_succ' 'h4/thm/quote/index_size_def_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_1' 'h4/thm/rat/RAT_AINV_0_'
0. 'coq/Coq_Arith_Mult_mult_le_compat_r' 'h4/thm/integer/TINT_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_divide_mono_r' 'h4/thm/extreal/le_radd_imp_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_diag' 'h4/thm/arithmetic/TIMES2_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_gcd_1_r' 'h4/thm/integer/INT_MUL_RZERO_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_add_lt_sub_r' 'h4/thm/arithmetic/SUB_LEFT_GREATER_EQ_'
0. 'coq/Coq_Reals_RIneq_Rmult_integral_contrapositive' 'h4/thm/intExtension/INT_NOT0_MUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_le_compat_r' 'h4/thm/arithmetic/LESS_MONO_MULT_'
0. 'coq/Coq_NArith_BinNat_N_max_lub_lt_iff' 'h4/thm/arithmetic/MAX_LE_e1'
0. 'coq/Coq_Bool_Bool_diff_false_true' 'h4/thm/ieee/roundmode_distinct_e5'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_of_Qc' 'h4/thm/binary_ieee/rounding_BIJ_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_nle_gt' 'h4/thm/rat/RAT_LEQ_LES_'
0. 'coq/Coq_PArith_BinPos_Pos_add_succ_r' 'h4/thm/integer/INT_MUL_CALCULATE_2'
0. 'coq/Coq_Classes_DecidableClass_Decidable_eq_bool_obligation_1' 'h4/thm/real/REAL_SUB_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_le_mono' 'h4/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_glb_lt_iff' 'h4/thm/arithmetic/MIN_LE_e1'
0. 'coq/Coq_ZArith_BinInt_Z_add_simpl_r' 'h4/thm/real/REAL_SUB_ADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_lt_iff' 'h4/thm/real/REAL_LE_MAX_'
0. 'coq/Coq_ZArith_Zorder_Zplus_lt_compat_r' 'h4/thm/hrat/TRAT_ADD_WELLDEFINED_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_divide_mono_r' 'h4/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lnot_lxor_r' 'h4/thm/integer/INT_NEG_RMUL_'
0. 'coq/Coq_NArith_BinNat_N_min_r' 'h4/thm/real/REAL_MIN_ALT_e1'
0. 'coq/Coq_PArith_BinPos_Pos_lt_add_r' 'h4/thm/realax/HREAL_LT_ADDL_'
0. 'coq/Coq_PArith_BinPos_Pos_lt_eq_cases' 'h4/thm/extreal/le_lt_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_pos' 'h4/thm/ieee/Sign_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_null_iff' 'h4/thm/real/REAL_NEG_EQ0_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_divide_xO_xO' 'h4/thm/transc/EXP_MONO_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pred_le_mono' 'h4/thm/integer/TINT_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_nlt' 'h4/thm/extreal/extreal_lt_def_'
0. 'coq/Coq_ZArith_BinInt_Z2Pos_inj_sqrt' 'h4/thm/extreal/extreal_sqrt_def_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_land_diag' 'h4/thm/arithmetic/MIN_IDEM_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_ngt' 'h4/thm/rat/RAT_LES_LEQ_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_lt_add_l' 'h4/thm/integer/INT_DIVIDES_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_le_trans' 'h4/thm/arithmetic/LESS_LESS_EQ_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_inj_wd' 'h4/thm/integer/INT_EQ_NEG_'
0. 'coq/Coq_QArith_Qcanon_Q_apart_0_1'#@#variant 'h4/thm/ieee/ccode_distinct_4'
0. 'coq/Coq_ZArith_Zpower_two_p_correct'#@#variant 'h4/thm/arithmetic/SUC_ONE_ADD_'#@#variant
0. 'coq/Coq_Bool_Bool_diff_true_false' 'h4/thm/toto/all_cpn_distinct_tLRL'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_irrefl' 'h4/thm/extreal/lt_refl_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_nonpos' 'h4/thm/real/REAL_POS_LE_ZERO_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_ge' 'h4/thm/extreal/extreal_le_def_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_lcm_r' 'h4/thm/hreal/HRAT_LT_ADDR_'
0. 'coq/Coq_Reals_Rprod_le_n_2n'#@#variant 'h4/thm/divides/INDEX_LESS_PRIMES_'
0. 'coq/Coq_QArith_QOrderedType_QOrder_lt_le_trans' 'h4/thm/integer/INT_LTE_TRANS_'
0. 'coq/Coq_NArith_BinNat_N_gt_lt_iff' 'h4/thm/real/real_ge_'
0. 'coq/Coq_NArith_BinNat_N_div2_double' 'h4/thm/numeral/numeral_add_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_le_mono' 'h4/thm/integer/TINT_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_negb_even' 'h4/thm/frac/frac_sgn_def_'
0. 'coq/Coq_Reals_Raxioms_Rlt_asym' 'h4/thm/hreal/HRAT_LT_ANTISYM_'
0. 'coq/Coq_Sorting_Permutation_Permutation_refl' 'h4/thm/rich_list/IS_PREFIX_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_rem_1_l'#@#variant 'h4/thm/transc/ONE_RPOW_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sub_opp_r' 'h4/thm/real/real_sub_'
0. 'coq/Coq_ZArith_BinInt_Z_divide_lcm_l' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_0'
0. 'coq/Coq_NArith_BinNat_N_add_lt_mono_r' 'h4/thm/hreal/HRAT_LT_RMUL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_lt_add_r' 'h4/thm/integer/INT_DIVIDES_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_lt_mono_r' 'h4/thm/rat/RAT_LES_RADD_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_mul_below' 'h4/thm/real/REAL_SUB_ABS_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pred_le_mono' 'h4/thm/numpair/tri_LT_I_'
0. 'coq/Coq_ZArith_BinInt_Zopp_mult_distr_l' 'h4/thm/complex/COMPLEX_NEG_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_le_compat_r' 'h4/thm/arithmetic/LESS_MONO_ADD_'
0. 'coq/Coq_PArith_BinPos_Pos_lt_irrefl' 'h4/thm/string/string_lt_nonrefl_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_1_l' 'h4/thm/integer/INT_SUB_REDUCE_1'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_mul_r' 'h4/thm/arithmetic/EXP_EXP_MULT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_r' 'h4/thm/arithmetic/LESS_MONO_MULT_'
0. 'coq/Coq_Arith_Plus_plus_lt_compat_r' 'h4/thm/hrat/TRAT_ADD_WELLDEFINED_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_nonneg_nonneg' 'h4/thm/integer/INT_LT_MUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_trichotomy' 'h4/thm/hreal/HREAL_LT_TOTAL_'
0. 'coq/Coq_Reals_RIneq_Rge_gt_trans' 'h4/thm/arithmetic/LESS_EQ_LESS_TRANS_'
0. 'coq/Coq_ZArith_Znat_positive_N_nat' 'h4/thm/ieee/Fraction_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Zopp_mult_distr_l' 'h4/thm/frac/FRAC_AINV_LMUL_'
0. 'coq/Coq_NArith_BinNat_N_mul_divide_mono_r' 'h4/thm/extreal/le_radd_imp_'
0. 'coq/Coq_NArith_BinNat_N_succ_le_mono' 'h4/thm/integerRing/int_rewrites_tRRRRRRLRRRR'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_simpl_l' 'h4/thm/float/ADD_SUB2_'
0. 'coq/Coq_Reals_Rminmax_R_le_max_l' 'h4/thm/arithmetic/LESS_EQ_ADD_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_l2i_i2l'#@#variant 'h4/thm/ieee/ccode_BIJ_0'
0. 'coq/Coq_Lists_Streams_EqSt_reflex' 'h4/thm/rich_list/IS_PREFIX_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_succ_r' 'h4/thm/arithmetic/ADD_SUC_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_neq_0_lt_0' 'h4/thm/arithmetic/NOT_ZERO_LT_ZERO_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_succ_l' 'h4/thm/prim_rec/SUC_LESS_'
0. 'coq/Coq_NArith_BinNat_N_min_glb_iff' 'h4/thm/arithmetic/MIN_LT_e1'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_iff' 'h4/thm/ieee/ccode2num_11_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_succ_lt_mono' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_sub_assoc' 'h4/thm/arithmetic/LESS_EQ_ADD_SUB_'
0. 'coq/Coq_ZArith_BinInt_Z_add_opp_l' 'h4/thm/HolSmt/r130_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mod_mod' 'h4/thm/integer/INT_MOD_MOD_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pos_pred_succ' 'h4/thm/real/NUM_FLOOR_EQNS_0'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_lt_mono_l' 'h4/thm/arithmetic/LE_ADD_LCANCEL_'
0. 'coq/Coq_ZArith_Zlogarithm_log_inf_correct1'#@#variant 'h4/thm/frac/FRAC_DNMPOS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_0_r'#@#variant 'h4/thm/arithmetic/EXP_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_divide_mono_l' 'h4/thm/realax/TREAL_LT_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div_1_r' 'h4/thm/real/REAL_ADD_RID_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_factor_r' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_1'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_le_compat_r' 'h4/thm/hrat/TRAT_ADD_WELLDEFINED_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_le_ngt' 'h4/thm/extreal/extreal_lt_def_'
0. 'coq/Coq_QArith_QArith_base_Zlt_Qlt' 'h4/thm/real/REAL_LE_'
0. 'coq/Coq_Bool_Bool_negb_xorb_l' 'h4/thm/complex/COMPLEX_NEG_LDIV_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_cancel_r' 'h4/thm/integer/INT_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div2_nonneg'#@#variant 'h4/thm/real/REAL_LT_INV_EQ_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_opp_succ' 'h4/thm/numRing/num_rewrites_tRRLRR'
0. 'coq/Coq_Arith_Max_le_max_l' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_0'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_gt_lt_iff' 'h4/thm/arithmetic/GREATER_DEF_'
0. 'coq/Coq_Arith_PeanoNat_Nat_neq_succ_diag_r' 'h4/thm/prim_rec/SUC_ID_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_pred_of_succ_nat' 'h4/thm/frac/frac_sgn_def_'
0. 'coq/Coq_ZArith_Zquot_Zquot_Zquot' 'h4/thm/arithmetic/SUB_PLUS_'
0. 'coq/Coq_Reals_RIneq_Ropp_Ropp_IZR' 'h4/thm/quote/index_size_def_0'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_assoc' 'h4/thm/hrat/TRAT_MUL_ASSOC_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_succ_le_mono' 'h4/thm/numpair/tri_LE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_nonneg' 'h4/thm/arithmetic/FACT_LESS_'
0. 'coq/Coq_Reals_Rpower_sinh_arcsinh' 'h4/thm/transc/ATN_e2'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pos_pred_succ' 'h4/thm/ieee/ccode_BIJ_0'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_ge_le_iff' 'h4/thm/integer/INT_GT_CALCULATE_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_sqrt_1' 'h4/thm/realax/TREAL_INV_0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_lcm_l' 'h4/thm/arithmetic/LESS_EQ_ADD_'
0. 'coq/Coq_ZArith_Zpower_two_power_pos_nat' 'h4/thm/hrat/hrat_sucint_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_succ_diag_r' 'h4/thm/arithmetic/LESS_EQ_SUC_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_opp_r' 'h4/thm/complex/complex_sub_'#@#variant
0. 'coq/Coq_Arith_Plus_le_plus_trans' 'h4/thm/divides/DIVIDES_MULT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_le_mono_l' 'h4/thm/real/REAL_LE_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_inj_wd' 'h4/thm/string/IMPLODE_11_'#@#variant
0. 'coq/Coq_Reals_Rpower_arcsinh_lt' 'h4/thm/prim_rec/LESS_MONO_'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_one_neq_zero' 'h4/thm/toto/cpn_distinct_0'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_sqrt_0' 'h4/thm/realax/TREAL_INV_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_le_mono_r' 'h4/thm/integer/INT_LT_RADD_'
0. 'coq/Coq_PArith_BinPos_Pos_le_max_r' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_1'
0. 'coq/Coq_NArith_BinNat_N_sub_add' 'h4/thm/arithmetic/SUB_ADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_0_r' 'h4/thm/extreal/le_infty_1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_rem_1_r'#@#variant 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRL'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_max_r' 'h4/thm/extreal/le_max2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ldiff_m1_r'#@#variant 'h4/thm/numeral/numeral_distrib_11'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_not_add_l' 'h4/thm/hrat/TRAT_NOZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pos_pred_succ' 'h4/thm/ASCIInumbers/toString_toNum_cancel_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_even_1' 'h4/thm/ieee/Plus_zero_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_le_mono_r' 'h4/thm/integer/INT_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_succ_le_mono' 'h4/thm/integerRing/int_rewrites_tLRRRLRRR'
0. 'coq/Coq_PArith_BinPos_Pos_le_lteq' 'h4/thm/extreal/le_lt_'
0. 'coq/Coq_Init_Peano_pred_Sn' 'h4/thm/bit/LOG2_TWOEXP_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_pred_of_succ_nat' 'h4/thm/ratRing/rat_ring_thms_e17'#@#variant
0. 'coq/Coq_Arith_Even_odd_plus_r' 'h4/thm/real/REAL_LET_ADD_'#@#variant
0. 'coq/Coq_ZArith_Znat_Z2N_inj_quot2' 'h4/thm/extreal/extreal_ainv_def_e2'
0. 'coq/Coq_ZArith_BinInt_Z_gcd_1_l' 'h4/thm/HolSmt/r233_'
0. 'coq/Coq_Arith_PeanoNat_Nat_neq_succ_diag_l' 'h4/thm/prim_rec/SUC_ID_'
0. 'coq/Coq_Reals_Rfunctions_pow_mult' 'h4/thm/real/REAL_POW_POW_'
0. 'coq/Coq_ZArith_BinInt_Z_le_sub_le_add_r' 'h4/thm/real/REAL_LT_ADD_SUB_'
0. 'coq/Coq_Strings_Ascii_ascii_nat_embedding' 'h4/thm/string_num/n2s_s2n_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_lt_add_l' 'h4/thm/integer/INT_DIVIDES_RMUL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sub_le_mono_r' 'h4/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pred_le_mono' 'h4/thm/real/REAL_POS_MONO_'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_IsTO_lt_total' 'h4/thm/hreal/HREAL_LT_TOTAL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_le_mono_r' 'h4/thm/hreal/HRAT_LT_RMUL_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_bounded/0'#@#variant 'h4/thm/binary_ieee/zero_le_twopow_'#@#variant
0. 'coq/Coq_Reals_RIneq_Ropp_0_le_ge_contravar'#@#variant 'h4/thm/transc/LN_POS_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_max_id' 'h4/thm/arithmetic/MAX_IDEM_'
0. 'coq/Coq_Bool_Bool_diff_false_true' 'h4/thm/binary_ieee/rounding_distinct_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_l' 'h4/thm/real/REAL_MAX_ALT_e1'
0. 'coq/Coq_ZArith_Znat_Nat2Z_is_nonneg'#@#variant 'h4/thm/frac/FRAC_DNMPOS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_nonneg' 'h4/thm/transc/ATN_0'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_le_lin' 'h4/thm/numpair/nfst_le_'
0. 'coq/Coq_Reals_RIneq_succ_IZR' 'h4/thm/hrat/HRAT_SUCINT_e1'
0. 'coq/Coq_PArith_BinPos_Pos_add_diag' 'h4/thm/numeral/iSQR_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_1_l' 'h4/thm/integer/INT_ADD_LID_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lcm_diag' 'h4/thm/real/REAL_DOUBLE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pos_pred_succ' 'h4/thm/real/NUM_FLOOR_EQNS_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_succ_inj_wd' 'h4/thm/string/IMPLODE_11_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_red' 'h4/thm/extreal/extreal_abs_def_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_Even_succ' 'h4/thm/binary_ieee/exp_gt2_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_sub_assoc' 'h4/thm/arithmetic/LESS_EQ_ADD_SUB_'
0. 'coq/Coq_ZArith_Zorder_Zplus_gt_compat_l' 'h4/thm/integer/TINT_LT_ADD_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_pos'#@#variant 'h4/thm/numeral/numeral_distrib_32'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_Even_succ' 'h4/thm/binary_ieee/exp_ge2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_pos'#@#variant 'h4/thm/real/REAL_LE_INV_EQ_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_lt_mono_r' 'h4/thm/hreal/HRAT_LT_RMUL_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_neg_iff' 'h4/thm/integer/INT_EQ_CALCULATE_0'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_gt_lt_iff' 'h4/thm/real/real_ge_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_1' 'h4/thm/transc/TAN_0_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_nonneg_pos'#@#variant 'h4/thm/util_prob/REAL_LT_LE_MUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_ngt' 'h4/thm/real/real_lte_'
0. 'coq/Coq_PArith_BinPos_Pos_min_glb_lt_iff' 'h4/thm/arithmetic/MIN_LT_e1'
0. 'coq/Coq_ZArith_BinInt_Z_shiftl_opp_r' 'h4/thm/extreal/extreal_div_def_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_ge_cases' 'h4/thm/integer/INT_LE_TOTAL_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_oppc' 'h4/thm/extreal/extreal_inv_def_e2'
0. 'coq/Coq_NArith_BinNat_N_shiftr_shiftr' 'h4/thm/arithmetic/SUB_RIGHT_SUB_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_nle_gt' 'h4/thm/HolSmt/r115_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_opp_l' 'h4/thm/rat/RAT_AINV_LMUL_'
0. 'coq/Coq_QArith_QOrderedType_QOrder_lt_irrefl' 'h4/thm/integer/TINT_LT_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_nlt_0_r' 'h4/thm/prim_rec/NOT_LESS_0_'
0. 'coq/Coq_Reals_RIneq_cond_pos'#@#variant 'h4/thm/integer/INT_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_double_spec'#@#variant 'h4/thm/arithmetic/SUC_ONE_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_le_mono' 'h4/thm/integerRing/int_rewrites_tRRRRRRLRRRR'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_opp_r' 'h4/thm/arithmetic/ADD_SUC_'
0. 'coq/Coq_NArith_BinNat_N_divide_lcm_l' 'h4/thm/hreal/HRAT_LT_ADDL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_le_mono' 'h4/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_clearbit_spec_prime'#@#variant 'h4/thm/real/real_div_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_antisymm' 'h4/thm/rat/RAT_LEQ_ANTISYM_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_inj_wd' 'h4/thm/rat/RAT_EQ_AINV_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_max_l' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ldiff_land' 'h4/thm/extreal/sub_rneg_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_le_compat_l' 'h4/thm/extreal/le_ladd_imp_'
0. 'coq/Coq_Reals_ROrderedType_ROrder_TO_lt_total' 'h4/thm/hreal/HREAL_LT_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_1_r' 'h4/thm/extreal/add_rzero_'
0. 'coq/Coq_Reals_Rtrigo1_PI_neq0' 'h4/thm/toto/all_cpn_distinct_tLRL'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pred_succ' 'h4/thm/numeral_bit/NUMERAL_iDIV2_2'
0. 'coq/Coq_PArith_BinPos_Pos_mul_le_mono_l' 'h4/thm/real/REAL_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_pos_l'#@#variant 'h4/thm/integer/INT_LT_MONO_'#@#variant
0. 'coq/Coq_Reals_Exp_prop_exp_pos' 'h4/thm/transc/ATN_BOUNDS_0'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_ngt' 'h4/thm/rat/RAT_LES_LEQ_'
0. 'coq/Coq_ZArith_Zorder_Znot_lt_ge' 'h4/thm/HolSmt/t015_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_le_mono' 'h4/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Reals_Rpower_arcsinh_le' 'h4/thm/prim_rec/LESS_MONO_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_1_r' 'h4/thm/arithmetic/DIV2_def_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_le_compat_r' 'h4/thm/integer/TINT_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_compare_xO_xO' 'h4/thm/quote/index_compare_def_5'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_setbit_spec_prime'#@#variant 'h4/thm/integer/INT_SUB_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_lxor_l' 'h4/thm/arithmetic/ADD_CLAUSES_2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_nge' 'h4/thm/arithmetic/NOT_LESS_EQUAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_lxor_r' 'h4/thm/complex/COMPLEX_NEG_RMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_divide_iff' 'h4/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_pos_pos' 'h4/thm/arithmetic/LESS_MULT2_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_le_mono_r_iff'#@#variant 'h4/thm/int_arith/justify_divides_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_pred_double_succ' 'h4/thm/numeral/numeral_suc_1'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_div2' 'h4/thm/extreal/extreal_inv_def_e2'
0. 'coq/Coq_Reals_RIneq_Ropp_neq_0_compat' 'h4/thm/intExtension/INT_NOT0_SGNNOT0_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_shiftr_div_pow2'#@#variant 'h4/thm/integer/INT_SUB_CALCULATE_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_glb_iff' 'h4/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_triangle' 'h4/thm/real/ABS_TRIANGLE_'
0. 'coq/Coq_NArith_BinNat_N_pow_1_r' 'h4/thm/rat/RAT_ADD_RID_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_lt_mono' 'h4/thm/numeral/numeral_distrib_28'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_neq' 'h4/thm/intExtension/INT_ABS_CALCULATE_NEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_pos_nonneg'#@#variant 'h4/thm/extreal/let_mul_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_asymm' 'h4/thm/rat/RAT_LES_ANTISYM_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_id' 'h4/thm/gcd/GCD_REF_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lxor_nilpotent' 'h4/thm/integer/INT_SUB_REFL_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_shiftl_shiftl' 'h4/thm/arithmetic/EXP_EXP_MULT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sub_1_r'#@#variant 'h4/thm/arithmetic/PRE_SUB1_'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qcplus_opp_r'#@#variant 'h4/thm/rat/RAT_ADD_RINV_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_move_0_l' 'h4/thm/real/REAL_RNEG_UNIQ_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_0_l' 'h4/thm/arithmetic/ZERO_LESS_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_even_1' 'h4/thm/ieee/Plus_infinity_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lxor_lnot_lnot' 'h4/thm/arithmetic/SUB_MONO_EQ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_max_distr' 'h4/thm/transc/EXP_SUB_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_Odd_succ' 'h4/thm/binary_ieee/exp_ge2_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lnot_0_l' 'h4/thm/HolSmt/r128_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_pos'#@#variant 'h4/thm/numeral/numeral_distrib_32'
0. 'coq/Coq_NArith_BinNat_N_nlt_ge' 'h4/thm/real/real_lt_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_le_compat_l' 'h4/thm/real/REAL_LT_IADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_succ_le_mono' 'h4/thm/numeral/numeral_lt_4'
0. 'coq/Coq_Arith_PeanoNat_Nat_setbit_spec_prime'#@#variant 'h4/thm/rat/RAT_DIV_MULMINV_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_pred_l' 'h4/thm/numpair/nsnd_le_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_factor_r' 'h4/thm/hreal/HRAT_LT_ADDR_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_pred_succ' 'h4/thm/numeral/DIV2_BIT1_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sub_le_mono_r' 'h4/thm/arithmetic/LESS_MONO_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_min_r' 'h4/thm/extreal/min_le2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_pos_nonneg'#@#variant 'h4/thm/integer/INT_LTE_ADD_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_le_compat_r' 'h4/thm/integer/TINT_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_1' 'h4/thm/real/REAL_ABS_0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_0_l' 'h4/thm/arithmetic/ZERO_LESS_EQ_'
0. 'coq/Coq_ZArith_BinInt_Z_gcd_0_l' 'h4/thm/numeral/texp_help_def_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_diag' 'h4/thm/integer/INT_SUB_REFL_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_0_r'#@#variant 'h4/thm/integer/INT_MOD_1_'#@#variant
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_E_bits_lt_antirefl' 'h4/thm/realax/TREAL_LT_REFL_'#@#variant
0. 'coq/Coq_Reals_RIneq_INR_IZR_INZ' 'h4/thm/realax/real_of_hreal_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_lt_mono_r'#@#variant 'h4/thm/arithmetic/EXP_BASE_LEQ_MONO_IMP_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ldiff_land' 'h4/thm/real/REAL_SUB_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_l' 'h4/thm/real/REAL_LT_IADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div2_spec'#@#variant 'h4/thm/arithmetic/ADD1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_1_l' 'h4/thm/integer/INT_MUL_LZERO_'
0. 'coq/Coq_ZArith_BinInt_Z_opp_neg_pos'#@#variant 'h4/thm/real/REAL_NEG_LE0_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_le_mono_l' 'h4/thm/hreal/HRAT_LT_LMUL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lor_diag' 'h4/thm/gcd/GCD_REF_'
0. 'coq/Coq_NArith_BinNat_N_add_cancel_l' 'h4/thm/complex/COMPLEX_EQ_LADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_pos_le' 'h4/thm/divides/DIVIDES_LE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_lt_mono_pos_l'#@#variant 'h4/thm/logroot/LE_EXP_ISO_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_of_pos' 'h4/thm/realax/real_of_hreal_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_opp_involutive' 'h4/thm/rat/RAT_AINV_AINV_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_of_Qc' 'h4/thm/binary_ieee/num2float_compare_float_compare2num_'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_lt_antirefl' 'h4/thm/realax/TREAL_LT_REFL_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_le_incl' 'h4/thm/real/REAL_LT_IMP_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_ge_cases' 'h4/thm/extreal/le_total_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_pos_cancel_r'#@#variant 'h4/thm/real/REAL_LT_RMUL_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mod_1_r'#@#variant 'h4/thm/numeral/numeral_distrib_11'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_le_compat_l' 'h4/thm/integer/TINT_LT_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_lt_le_mono' 'h4/thm/integer/INT_LTE_ADD2_'
0. 'coq/Coq_Reals_Ranalysis4_sinh_lt' 'h4/thm/transc/EXP_MONO_IMP_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_nlt' 'h4/thm/HolSmt/r115_'
0. 'coq/Coq_Reals_Rminmax_R_min_lt_iff' 'h4/thm/arithmetic/MIN_LE_0'
0. 'coq/Coq_Reals_Ratan_atan_increasing' 'h4/thm/prim_rec/LESS_MONO_'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_div2' 'h4/thm/extreal/extreal_abs_def_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_sub_triangle' 'h4/thm/real/REAL_SUB_ABS_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_xO_r' 'h4/thm/integer/INT_MUL_CALCULATE_2'
0. 'coq/Coq_ZArith_Zlogarithm_log_sup_correct1'#@#variant 'h4/thm/real/POW_2_LE1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_le_mono' 'h4/thm/bit/TWOEXP_MONO2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_nge' 'h4/thm/integer/int_le_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_lt_mono_r' 'h4/thm/arithmetic/LE_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_nonneg_nonneg' 'h4/thm/realax/TREAL_LT_MUL_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_max_id' 'h4/thm/real/REAL_MIN_REFL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_le_compat_r' 'h4/thm/extreal/le_radd_imp_'
0. 'coq/Coq_NArith_BinNat_N_mod_1_r'#@#variant 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRL'#@#variant
0. 'coq/Coq_QArith_QOrderedType_QOrder_not_ge_lt' 'h4/thm/integer/INT_LET_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_nonpos_nonneg'#@#variant 'h4/thm/real/REAL_NEG_LE0_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pos_pred_succ' 'h4/thm/ieee/float_tybij_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_succ_r' 'h4/thm/integer/INT_MUL_CALCULATE_2'
0. 'coq/Coq_ZArith_Zorder_not_Zeq' 'h4/thm/hreal/HREAL_LT_TOTAL_'
0. 'coq/Coq_ZArith_Zdiv_Zmod_eq_full' 'h4/thm/integer/int_rem_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lt_irrefl' 'h4/thm/rat/RAT_LES_REF_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_eq_cases' 'h4/thm/real/REAL_LE_LT_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_lt_mono_l' 'h4/thm/integer/INT_LE_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lnot_ones' 'h4/thm/bit/SUC_SUB_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_oppc' 'h4/thm/quote/index_size_def_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_le_mono_r' 'h4/thm/integer/INT_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pred_le_mono' 'h4/thm/prim_rec/LESS_MONO_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_glb_iff' 'h4/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_divide_mono_r' 'h4/thm/extreal/le_radd_imp_'
0. 'coq/__constr_Coq_Sorting_Sorted_Sorted_0_1' 'h4/thm/sorting/SORTED_NIL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_divide_iff' 'h4/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_Arith_Le_le_S_n' 'h4/thm/arithmetic/LESS_MONO_REV_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_move_r' 'h4/thm/complex/COMPLEX_EQ_SUB_RADD_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_1_r' 'h4/thm/integer/INT_MUL_RZERO_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_div2'#@#variant 'h4/thm/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_lt_mono_l' 'h4/thm/integer/INT_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_double_mul' 'h4/thm/complex/COMPLEX_MUL_LNEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_trichotomy' 'h4/thm/rat/RAT_LES_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_le_compat_r' 'h4/thm/arithmetic/LESS_MONO_MULT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_1_r' 'h4/thm/integer/INT_ADD_CALCULATE_1'
0. 'coq/Coq_ZArith_BinInt_Z2Pos_inj_sqrt' 'h4/thm/toto/num_dt_size_def_e2'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_le_lteq' 'h4/thm/string/string_le_def_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_total' 'h4/thm/rat/RAT_LES_TOTAL_'
0. 'coq/Coq_NArith_BinNat_N_odd_sub' 'h4/thm/integer/INT_SUB_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_neq' 'h4/thm/extreal/lt_le_'
0. 'coq/Coq_Init_Peano_pred_Sn' 'h4/thm/numeral/numeral_add_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_lcm_eq_r' 'h4/thm/real/REAL_MAX_ALT_0'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_add_r' 'h4/thm/realax/HREAL_LT_ADDL_'
0. 'coq/Coq_QArith_Qcanon_Qclt_not_eq' 'h4/thm/integer/INT_LT_IMP_NE_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_max_r' 'h4/thm/real/REAL_LE_MAX2_'
0. 'coq/Coq_ZArith_Znat_nat_N_Z' 'h4/thm/realax/real_of_hreal_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_le_mono' 'h4/thm/numeral/numeral_distrib_22'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lxor_nilpotent' 'h4/thm/integer/INT_SUB_REFL_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_mod' 'h4/thm/integer/INT_MOD_SUB_'#@#variant
0. 'coq/Coq_Reals_Rpower_sinh_arcsinh' 'h4/thm/prim_rec/PRE_e1'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_lteq' 'h4/thm/real/REAL_LE_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_involutive' 'h4/thm/rat/RAT_AINV_AINV_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_le_pred' 'h4/thm/arithmetic/LESS_EQ_IMP_LESS_SUC_'
0. 'coq/Coq_ZArith_BinInt_Z_div_same'#@#variant 'h4/thm/real/REAL_DIV_REFL_'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qcplus_opp_r'#@#variant 'h4/thm/hreal/HRAT_MUL_RINV_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_cancel_l' 'h4/thm/complex/COMPLEX_EQ_LADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_opp_r' 'h4/thm/rat/RAT_AINV_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sub_diag' 'h4/thm/integer/INT_SUB_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_pred_sub' 'h4/thm/arithmetic/ADD1_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_lt_mono_r' 'h4/thm/integer/INT_LT_RADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_le_mono_r' 'h4/thm/arithmetic/LE_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pred_succ' 'h4/thm/transc/ATN_e2'
0. 'coq/Coq_ZArith_BinInt_Z_add_lnot_diag'#@#variant 'h4/thm/integer/INT_ADD_RINV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_clearbit_spec_prime'#@#variant 'h4/thm/complex/complex_div_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_sub_le_add_l' 'h4/thm/arithmetic/SUB_RIGHT_GREATER_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_setbit_spec_prime'#@#variant 'h4/thm/rat/RAT_DIV_MULMINV_'
0. 'coq/Coq_PArith_BinPos_Pos_add_lt_mono_l' 'h4/thm/arithmetic/LT_ADD_LCANCEL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_factor_l' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_0'
0. 'coq/Coq_Reals_Exp_prop_exp_pos' 'h4/thm/prim_rec/LESS_0_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_lt_lin'#@#variant 'h4/thm/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_1_r' 'h4/thm/integer/INT_ADD_RID_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_divide_xO_xO' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_ZArith_BinInt_Z_mul_pos_pos' 'h4/thm/integer/TINT_LT_MUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_inj_wd' 'h4/thm/prim_rec/INV_SUC_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_1_l' 'h4/thm/real/REAL_ADD_LID_'
0. 'coq/Coq_Reals_Rminmax_R_max_le_compat_l' 'h4/thm/integer/TINT_LT_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_setbit_spec_prime'#@#variant 'h4/thm/integer/INT_SUB_CALCULATE_'
0. 'coq/Coq_ZArith_Zdiv_div_Zdiv' 'h4/thm/integer/INT_QUOT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_max_l' 'h4/thm/hreal/HRAT_LT_ADDL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_diag' 'h4/thm/extreal/max_refl_'
0. 'coq/Coq_Bool_Bool_xorb_eq' 'h4/thm/extreal/sub_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_negb_even' 'h4/thm/numRing/num_ring_thms_e17'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_lt_mono_neg_l' 'h4/thm/rat/RAT_LES_LMUL_NEG_'#@#variant
0. 'coq/Coq_QArith_Qcanon_Q_apart_0_1'#@#variant 'h4/thm/ieee/roundmode_distinct_2'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_eq_0' 'h4/thm/rat/RAT_NO_ZERODIV_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sub_move_0_r' 'h4/thm/rat/RAT_EQ_0SUB_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_pred'#@#variant 'h4/thm/rat/RAT_OF_NUM_e1'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_lt_le_mono' 'h4/thm/integer/INT_LTE_ADD2_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_inj_wd' 'h4/thm/numRing/num_rewrites_tRRRRRRRLR'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_one_neq_zero' 'h4/thm/toto/all_cpn_distinct_2'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_pos_pred' 'h4/thm/frac/frac_sgn_def_'
0. 'coq/Coq_Reals_Rtrigo1_PI_neq0' 'h4/thm/ieee/roundmode_distinct_2'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div2_nonneg'#@#variant 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_ZArith_Zorder_Zmult_lt_compat_l'#@#variant 'h4/thm/integral/REAL_LE_LMUL1_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_succ_diag_r' 'h4/thm/divides/INDEX_LESS_PRIMES_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_sub_l' 'h4/thm/extreal/min_le1_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_nlt' 'h4/thm/integer/INT_NOT_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lcm_divide_iff' 'h4/thm/arithmetic/MAX_LT_e1'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_lub_iff' 'h4/thm/arithmetic/MAX_LE_e1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_refl' 'h4/thm/realax/TREAL_EQ_REFL_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_succ_inj_wd' 'h4/thm/numeral/numeral_lt_3'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_opp_r' 'h4/thm/rat/RAT_SUB_ADDAINV_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_1_r'#@#variant 'h4/thm/arithmetic/DIV2_def_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_pos'#@#variant 'h4/thm/transc/LN_POS_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_divide_refl' 'h4/thm/divides/DIVIDES_REFL_'
0. 'coq/Coq_Reals_Rbasic_fun_Rle_abs' 'h4/thm/prim_rec/LESS_SUC_SUC_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_glb_lt_iff' 'h4/thm/arithmetic/MIN_LT_e1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_antisymm' 'h4/thm/rat/RAT_LEQ_ANTISYM_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_1_r'#@#variant 'h4/thm/arithmetic/ADD1_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_succ_le_mono' 'h4/thm/transc/EXP_MONO_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_inj_wd' 'h4/thm/complex/COMPLEX_INV_INJ_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_add_1_r' 'h4/thm/arithmetic/PRE_SUB1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_nle' 'h4/thm/integer/INT_NOT_LE_'
0. 'coq/Coq_Reals_ROrderedType_ROrder_TO_lt_total' 'h4/thm/realax/REAL_LT_TOTAL_'
0. 'coq/Coq_Reals_RIneq_Rlt_0_sqr'#@#variant 'h4/thm/real/ABS_CASES_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_nonneg_nonneg' 'h4/thm/integer/TINT_LT_MUL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_quot_le_mono'#@#variant 'h4/thm/real/REAL_LE_RMUL_IMP_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_2' 'h4/thm/realax/TREAL_INV_0_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_opp_l' 'h4/thm/integer/INT_MUL_CALCULATE_1'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_irrefl' 'h4/thm/realax/REAL_LT_REFL_'
0. 'coq/Coq_ZArith_Zlogarithm_log_near_correct1'#@#variant 'h4/thm/frac/FRAC_DNMPOS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_le_mono' 'h4/thm/hrat/TRAT_INV_WELLDEFINED_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_1' 'h4/thm/realax/TREAL_INV_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_0_l' 'h4/thm/numeral/texp_help_def_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_nle_gt' 'h4/thm/real/real_lte_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_lt_mono'#@#variant 'h4/thm/real/REAL_LT_MUL2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_land_diag' 'h4/thm/arithmetic/MIN_IDEM_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_gt' 'h4/thm/integer/INT_LE_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_ngt' 'h4/thm/extreal/extreal_lt_def_'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_double'#@#variant 'h4/thm/extreal/extreal_ainv_def_e2'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_0' 'h4/thm/realax/TREAL_INV_0_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lt_succ_diag_r' 'h4/thm/divides/INDEX_LESS_PRIMES_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div2_spec'#@#variant 'h4/thm/arithmetic/PRE_SUB1_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_nlt_ge' 'h4/thm/arithmetic/NOT_LESS_EQUAL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_div2_double'#@#variant 'h4/thm/string/EXPLODE_IMPLODE_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qeq_alt' 'h4/thm/quote/index_lt_def_'
0. 'coq/Coq_Structures_DecidableTypeEx_N_as_DT_lt_not_eq' 'h4/thm/prim_rec/NOT_LESS_EQ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mod_1_l'#@#variant 'h4/thm/arithmetic/ZERO_MOD_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_lt_mono_l' 'h4/thm/realax/HREAL_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_factor_l' 'h4/thm/hreal/HRAT_LT_ADDL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_id' 'h4/thm/arithmetic/MAX_IDEM_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_l2i_i2l'#@#variant 'h4/thm/patricia_casts/num_to_string_string_to_num_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_land_diag' 'h4/thm/extreal/max_refl_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_ngt' 'h4/thm/integer/int_le_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pos_pred_spec' 'h4/thm/ratRing/rat_ring_thms_e17'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftl_1_l'#@#variant 'h4/thm/integer/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lcm_eq_0' 'h4/thm/arithmetic/MULT_EQ_0_'
0. 'coq/Coq_Reals_ROrderedType_ROrder_TO_le_lteq' 'h4/thm/integral/LE_LT_'
0. 'coq/Coq_NArith_Nnat_N2Nat_id' 'h4/thm/string_num/s2n_n2s_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_succ_l' 'h4/thm/extreal/mul_lneg_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_cancel_r' 'h4/thm/integer/INT_EQ_RADD_'
0. 'coq/Coq_PArith_BinPos_Pos_max_le_compat_l' 'h4/thm/real/REAL_LT_IADD_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_of_Z' 'h4/thm/toto/cpn_BIJ_0'
0. 'coq/Coq_ZArith_BinInt_Z_sub_succ_l' 'h4/thm/extreal/mul_lneg_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_lt_mono_l' 'h4/thm/arithmetic/LE_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_inj_wd' 'h4/thm/string/IMPLODE_11_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_compare' 'h4/thm/toto/qk_numOrd_def_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_w3_spec' 'h4/thm/numRing/num_ring_thms_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_neq' 'h4/thm/rat/RAT_LES_IMP_NEQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_compare_lt_iff' 'h4/thm/quote/index_lt_def_'
0. 'coq/Coq_Reals_Rfunctions_powerRZ_NOR' 'h4/thm/extreal/pow_zero_imp_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_factor_r' 'h4/thm/hreal/HRAT_LT_ADDR_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div_0_l' 'h4/thm/integer/INT_QUOT_0_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_lt_mono_r' 'h4/thm/hreal/HRAT_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_lt_mono_r'#@#variant 'h4/thm/logroot/ROOT_LE_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_sub_le_add_r' 'h4/thm/integer/INT_LE_SUB_RADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_le_compat_r' 'h4/thm/hrat/TRAT_ADD_WELLDEFINED_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_1_l'#@#variant 'h4/thm/numeral/numeral_texp_help_0'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_iff' 'h4/thm/integer/INT_EQ_CALCULATE_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_1_l'#@#variant 'h4/thm/arithmetic/ZERO_LESS_EQ_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_compare' 'h4/thm/toto/charOrd_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_opp_norm' 'h4/thm/transc/SQRT_POS_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div2_double' 'h4/thm/string/EXPLODE_IMPLODE_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_cancel_r' 'h4/thm/integer/INT_EQ_RADD_'
0. 'coq/Coq_Reals_ROrderedType_ROrder_TO_lt_total' 'h4/thm/extreal/lt_total_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_min_r' 'h4/thm/real/REAL_MIN_LE2_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_asymm' 'h4/thm/real/REAL_LT_GT_'
0. 'coq/Coq_NArith_BinNat_N_le_antisymm' 'h4/thm/divides/DIVIDES_ANTISYM_'
0. 'coq/Coq_NArith_BinNat_N_add_1_l' 'h4/thm/real/REAL_SUB_LZERO_'
0. 'coq/Coq_ZArith_BinInt_Z_quot_pos'#@#variant 'h4/thm/util_prob/REAL_LE_LT_MUL_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_sub_r' 'h4/thm/divides/DIVIDES_ADD_1_'
0. 'coq/Coq_ZArith_BinInt_Z_add_pos_pos' 'h4/thm/arithmetic/LESS_MULT2_'
0. 'coq/Coq_ZArith_BinInt_Z_opp_inj_wd' 'h4/thm/complex/CONJ_EQ2_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_square_spec' 'h4/thm/numeral/iSQR_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_neq_0_lt_0' 'h4/thm/arithmetic/NOT_ZERO_LT_ZERO_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_land_nonneg'#@#variant 'h4/thm/arithmetic/ZERO_LESS_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sub_max_distr_l' 'h4/thm/transc/RPOW_SUB_'
0. 'coq/Coq_NArith_BinNat_N_pos_pred_succ' 'h4/thm/complex/RE_COMPLEX_OF_REAL_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_lt_mono_r' 'h4/thm/integer/INT_LT_RADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_le_mono_r' 'h4/thm/integer/INT_LT_RADD_'
0. 'coq/Coq_Strings_Ascii_ascii_nat_embedding' 'h4/thm/ieee/ccode_BIJ_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_le_mono_nonneg'#@#variant 'h4/thm/integer/INT_LT_MUL2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lcm_1_r' 'h4/thm/extreal/sub_rzero_'
0. 'coq/Coq_Arith_PeanoNat_Nat_max_lub_iff' 'h4/thm/arithmetic/MAX_LE_e1'
0. 'coq/Coq_PArith_BinPos_Pos_min_le_iff' 'h4/thm/real/REAL_MIN_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_lub_lt' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_e2'
0. 'coq/Coq_QArith_QArith_base_Qmult_le_l'#@#variant 'h4/thm/int_arith/lt_justify_multiplication_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_nlt_ge' 'h4/thm/HolSmt/r096_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_reg_l' 'h4/thm/integer/INT_EQ_LMUL_IMP_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_odd_1' 'h4/thm/ieee/Plus_infinity_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_max_l' 'h4/thm/arithmetic/LESS_EQ_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_glb_iff' 'h4/thm/integral/REAL_LT_MIN_'
0. 'coq/Coq_QArith_Qcanon_Q_apart_0_1'#@#variant 'h4/thm/binary_ieee/rounding_distinct_e5'
0. 'coq/Coq_PArith_BinPos_Pos_succ_pred_double' 'h4/thm/numeral/numeral_pre_e4'
0. 'coq/Coq_Reals_Rminmax_R_min_glb_lt_iff' 'h4/thm/arithmetic/MIN_LE_e1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_1_r'#@#variant 'h4/thm/arithmetic/DIV2_def_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_lt_mono_pos_l'#@#variant 'h4/thm/integer/INT_LE_MONO_'#@#variant
0. 'coq/Coq_Strings_Ascii_ascii_nat_embedding' 'h4/thm/string_num/s2n_n2s_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lt_0_mul_prime'#@#variant 'h4/thm/arithmetic/ZERO_LESS_MULT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_le_mono' 'h4/thm/integerRing/int_rewrites_tRRRRRRLRRRR'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_ge' 'h4/thm/integer/INT_LE_'
0. 'coq/Coq_ZArith_Zdiv_Zdiv_1_r' 'h4/thm/integer/INT_ADD_CALCULATE_1'
0. 'coq/Coq_Reals_RIneq_Rplus_le_lt_compat' 'h4/thm/real/REAL_LET_ADD2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_move_0_r' 'h4/thm/arithmetic/ABS_DIFF_EQ_0_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_succ_diag_r' 'h4/thm/bit/BIT_B_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_COS_bound/1' 'h4/thm/transc/ATN_BOUNDS_e1'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qlt_le_trans' 'h4/thm/integer/INT_LTE_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_nle_gt' 'h4/thm/HolSmt/r115_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftl_1_l'#@#variant 'h4/thm/util_prob/lg_def_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_max_l' 'h4/thm/real/REAL_MAX_ALT_e1'
0. 'coq/Coq_Reals_ROrderedType_R_as_OT_le_lteq' 'h4/thm/real/REAL_LE_LT_'
0. 'coq/Coq_ZArith_BinInt_Z_lnot_lxor_l' 'h4/thm/arithmetic/ADD_e1'
0. 'coq/Coq_ZArith_BinInt_Z_ldiff_ldiff_l' 'h4/thm/arithmetic/EXP_EXP_MULT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_succ_le_mono' 'h4/thm/numeral/numeral_lte_3'
0. 'coq/Coq_MMaps_MMapPositive_PositiveMap_E_eqb_eq' 'h4/thm/quote/compare_index_equal_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_0_r'#@#variant 'h4/thm/numeral/numeral_distrib_11'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_simpl_r' 'h4/thm/arithmetic/ADD_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_lt_mono_l' 'h4/thm/real/REAL_LE_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_antisymm' 'h4/thm/rat/RAT_LEQ_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_add_le' 'h4/thm/real/ABS_TRIANGLE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftr_div_pow2'#@#variant 'h4/thm/real/real_div_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_lt_mono_r' 'h4/thm/hreal/HRAT_LT_RMUL_'
0. 'coq/Coq_NArith_BinNat_N_succ_0_discr' 'h4/thm/intto/BIT1_nz_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_sqrt' 'h4/thm/toto/num_dt_size_def_1'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_nonneg' 'h4/thm/integral/LT_0_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_id' 'h4/thm/real/REAL_MAX_REFL_'
0. 'coq/Coq_ZArith_Zlogarithm_log_inf_correct/0'#@#variant 'h4/thm/integer/INT_POS_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_le_mono' 'h4/thm/hrat/TRAT_INV_WELLDEFINED_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_1_l' 'h4/thm/realax/TREAL_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_pos'#@#variant 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_r' 'h4/thm/hrat/TRAT_MUL_WELLDEFINED_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_simpl_l' 'h4/thm/integer/INT_ADD_SUB_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_lt_succ_r' 'h4/thm/prim_rec/LESS_SUC_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_gt_lt_iff' 'h4/thm/rat/rat_geq_def_'
0. 'coq/Coq_NArith_BinNat_N_le_ge_cases' 'h4/thm/arithmetic/LESS_EQ_CASES_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_lt_iff' 'h4/thm/real/REAL_LE_MAX_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_factor_l' 'h4/thm/realax/HREAL_LT_ADDL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_sub_diag' 'h4/thm/arithmetic/SUB_EQUAL_0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_0_r' 'h4/thm/arithmetic/DIV2_def_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_land_diag' 'h4/thm/extreal/min_refl_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_add_lt_sub_r' 'h4/thm/real/REAL_LE_SUB_RADD_'
0. 'coq/Coq_ZArith_BinInt_Zsucc_pred' 'h4/thm/numeral/numeral_add_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_opp_r' 'h4/thm/extreal/extreal_div_def_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_factor_l' 'h4/thm/arithmetic/LESS_EQ_ADD_'
0. 'coq/Coq_NArith_Ndigits_Ptestbit_Pbit' 'h4/thm/numRing/num_ring_thms_1'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_stepr' 'h4/thm/arithmetic/LESS_LESS_EQ_TRANS_'
0. 'coq/Coq_NArith_BinNat_N_divide_refl' 'h4/thm/poly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_shuffle3' 'h4/thm/HolSmt/r086_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_lxor_l' 'h4/thm/arithmetic/ADD_CLAUSES_2'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lnot_ones' 'h4/thm/realax/REAL_ADD_LINV_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_add_r' 'h4/thm/hreal/HRAT_LT_ADDL_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_lub_iff' 'h4/thm/arithmetic/MAX_LT_e1'
0. 'coq/Coq_MMaps_MMapWeakList_Some_iff' 'h4/thm/sptree/spt_11_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_quot_le_mono' 'h4/thm/arithmetic/DIV_LE_MONOTONE_'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_le_mono_l' 'h4/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_nonneg' 'h4/thm/transc/ATN_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_le_lin'#@#variant 'h4/thm/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_le_compat_r' 'h4/thm/arithmetic/LESS_MONO_MULT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ltb_lt' 'h4/thm/quote/index_lt_def_'
0. 'coq/Coq_NArith_BinNat_N_lcm_1_r' 'h4/thm/HolSmt/r127_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_compare_lt_iff' 'h4/thm/quote/index_lt_def_'
0. 'coq/Coq_ZArith_Znat_Z2Nat_inj_le'#@#variant 'h4/thm/float/FLOAT_GT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_pred_l' 'h4/thm/numpair/nsnd_le_'
0. 'coq/Coq_ZArith_BinInt_Z_add_nonneg_nonneg' 'h4/thm/integer/TINT_LT_MUL_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_ge_le_iff' 'h4/thm/string/string_ge_def_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_nonpos_nonpos'#@#variant 'h4/thm/extreal/lt_mul_neg_'#@#variant
0. 'coq/Coq_Bool_Bool_diff_false_true' 'h4/thm/toto/cpn_distinct_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_refl' 'h4/thm/extreal/le_refl_'
0. 'coq/Coq_Reals_R_sqrt_sqrt_le_1_alt' 'h4/thm/hrat/TRAT_INV_WELLDEFINED_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_le_mono' 'h4/thm/bit/TWOEXP_MONO_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_le_mono' 'h4/thm/hrat/TRAT_INV_WELLDEFINED_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_1_succ' 'h4/thm/divides/ZERO_LT_PRIMES_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_compare_xO_xO' 'h4/thm/quote/index_compare_def_5'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_div2' 'h4/thm/extreal/extreal_sqrt_def_0'
0. 'coq/Coq_Reals_Rpower_Rpower_mult' 'h4/thm/arithmetic/EXP_EXP_MULT_'
0. 'coq/Coq_Init_Peano_plus_Sn_m' 'h4/thm/complex/COMPLEX_NEG_LDIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_inj_wd' 'h4/thm/toto/num_dt_11_0'
0. 'coq/Coq_Arith_PeanoNat_Nat_nle_gt' 'h4/thm/real/REAL_NOT_LT_'
0. 'coq/Coq_NArith_BinNat_N_lt_wf_0' 'h4/thm/nets/DORDER_NGE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_negb_odd' 'h4/thm/ratRing/rat_ring_thms_e17'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_divide_xO_xO' 'h4/thm/numeral/numeral_distrib_28'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_0_l' 'h4/thm/integer/INT_SUB_REDUCE_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div_pos'#@#variant 'h4/thm/integer/INT_LTE_ADD_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_nonneg_r'#@#variant 'h4/thm/arithmetic/DIV_LE_MONOTONE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_lxor_l' 'h4/thm/integer/INT_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_sub_lt_add_l' 'h4/thm/arithmetic/SUB_RIGHT_GREATER_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_add_lt_sub_r' 'h4/thm/integer/INT_LT_SUB_LADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_sub_le_add_r' 'h4/thm/arithmetic/SUB_LEFT_GREATER_EQ_'
0. 'coq/Coq_ZArith_BinInt_Z_rem_opp_l_prime' 'h4/thm/integer/INT_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lor_diag' 'h4/thm/arithmetic/MAX_IDEM_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_lt_iff' 'h4/thm/real/REAL_LE_MAX_'
0. 'coq/Coq_Reals_Rtrigo_calc_sqrt2_neq_0'#@#variant 'h4/thm/frac/FRAC_1_0_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_is_pos'#@#variant 'h4/thm/extreal/le_num_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_add_lt_sub_r' 'h4/thm/real/REAL_LT_ADD_SUB_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_involutive' 'h4/thm/integer/INT_MUL_CALCULATE_e3'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_pos_l'#@#variant 'h4/thm/transc/RPOW_POS_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_1_l' 'h4/thm/extreal/mul_lzero_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mod_mul' 'h4/thm/integer/INT_MOD_COMMON_FACTOR_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_opp_succ' 'h4/thm/numRing/num_rewrites_tLRLRRRRRR'
0. 'coq/Coq_ZArith_BinInt_Z_lt_succ_diag_r' 'h4/thm/divides/INDEX_LESS_PRIMES_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_setbit_spec_prime'#@#variant 'h4/thm/frac/frac_div_def_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_factor_l' 'h4/thm/real/REAL_LE_MAX1_'
0. 'coq/Coq_ZArith_Zorder_Zgt_asym' 'h4/thm/real/REAL_LT_GT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_nonneg'#@#variant 'h4/thm/numeral/numeral_distrib_33'
0. 'coq/Coq_ZArith_BinInt_Z_pow_0_l'#@#variant 'h4/thm/arithmetic/ONE_MOD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_add_le_sub_r' 'h4/thm/integer/INT_LT_ADD_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftl_opp_r' 'h4/thm/HolSmt/r131_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_le_mono_l' 'h4/thm/rat/RAT_LES_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ge_le_iff' 'h4/thm/integer/INT_GE_CALCULATE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_pred_l' 'h4/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_le_mono' 'h4/thm/hrat/TRAT_INV_WELLDEFINED_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_le_mono' 'h4/thm/bit/TWOEXP_MONO2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_eq_le_incl' 'h4/thm/HolSmt/t007_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_eq_0_r' 'h4/thm/extreal/add_not_infty_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_le_mono' 'h4/thm/integer/INT_LE_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_opp_r' 'h4/thm/integer/INT_SUB_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_Odd_succ' 'h4/thm/numeral/numeral_distrib_21'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_divide_l' 'h4/thm/arithmetic/SUB_LESS_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_1_l'#@#variant 'h4/thm/numeral/texp_help_def_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_lteq' 'h4/thm/arithmetic/GREATER_OR_EQ_'
0. 'coq/Coq_ZArith_BinInt_Z_pow_1_r' 'h4/thm/integer/INT_SUB_REDUCE_0'
0. 'coq/Coq_ZArith_Zorder_Zplus_gt_compat_r' 'h4/thm/arithmetic/LESS_MONO_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_add_diag_r' 'h4/thm/gcd/GCD_ADD_R_THM_e1'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_succ_r' 'h4/thm/rat/RAT_AINV_RMUL_'
0. 'coq/Coq_Structures_OrderedTypeEx_N_as_OT_lt_not_eq' 'h4/thm/hreal/HRAT_LT_NE_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_succ_r' 'h4/thm/frac/FRAC_AINV_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_lt_mono_l' 'h4/thm/real/REAL_LE_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_testbit_even_0'#@#variant 'h4/thm/toto/numeralOrd_4'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_sub' 'h4/thm/real/REAL_ADD_SUB_ALT_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_le_compat_l' 'h4/thm/realax/REAL_LT_IADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_max_r' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_1'
0. 'coq/Coq_NArith_BinNat_N_divide_refl' 'h4/thm/rat/RAT_EQUIV_REF_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_lor'#@#variant 'h4/thm/util_prob/lg_mul_'#@#variant
0. 'coq/Coq_Lists_Streams_EqSt_reflex' 'h4/thm/sorting/PERM_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_mul_r'#@#variant 'h4/thm/arithmetic/DIV_DIV_DIV_MULT_'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qcle_not_lt' 'h4/thm/integer/INT_LET_ANTISYM_'
0. 'coq/Coq_ZArith_BinInt_Z_min_glb_iff' 'h4/thm/integral/REAL_LT_MIN_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_succ_diag_r' 'h4/thm/real/REAL_POS_INFLATE_'
0. 'coq/Coq_Reals_RIneq_Rplus_lt_compat_r' 'h4/thm/integer/TINT_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_pos_pos' 'h4/thm/arithmetic/LESS_MULT2_'
0. 'coq/Coq_ZArith_Znat_N2Z_id' 'h4/thm/ieee/num2ccode_ccode2num_'
0. 'coq/Coq_QArith_QArith_base_Zle_Qle' 'h4/thm/int_arith/INT_NUM_DIVIDES_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_lt_mono_pos_l'#@#variant 'h4/thm/transc/RPOW_LE_'#@#variant
0. 'coq/Coq_ZArith_Znat_Zabs2Nat_inj_neg' 'h4/thm/complex/MODU_NUM_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_inj_wd' 'h4/thm/toto/num_dt_11_e1'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_nonneg_r'#@#variant 'h4/thm/real/REAL_LE_RMUL_IMP_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_assoc' 'h4/thm/hrat/TRAT_MUL_ASSOC_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_asymm' 'h4/thm/hreal/HRAT_LT_GT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_trichotomy' 'h4/thm/integer/INT_LT_TOTAL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sub_le_mono_r' 'h4/thm/extreal/le_radd_imp_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_le_mono_pos_l'#@#variant 'h4/thm/arithmetic/EXP_BASE_LE_MONO_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_lt_mono_r_iff'#@#variant 'h4/thm/int_arith/lt_justify_multiplication_'#@#variant
0. 'coq/Coq_Reals_Raxioms_Rplus_lt_compat_l' 'h4/thm/realax/TREAL_LT_ADD_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_le_mono' 'h4/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lcm_eq_0' 'h4/thm/real/REAL_ENTIRE_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_lt_mono_r' 'h4/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_nonneg' 'h4/thm/divides/ZERO_LT_PRIMES_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_m1_0' 'h4/thm/extreal/thirds_between_tRLL'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_neq' 'h4/thm/extreal/lt_le_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_sub_l' 'h4/thm/extreal/min_le1_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_0_l' 'h4/thm/integer/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_le_mono_r' 'h4/thm/integer/INT_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_succ_diag_r' 'h4/thm/real/ABS_LE_'
0. 'coq/Coq_Reals_RIneq_Rge_not_gt' 'h4/thm/arithmetic/LESS_EQ_ANTISYM_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_ngt' 'h4/thm/integer/INT_NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_null'#@#variant 'h4/thm/intExtension/INT_SGN_CLAUSES_e2'#@#variant
0. 'coq/Coq_QArith_QOrderedType_QOrder_eq_refl' 'h4/thm/rat/RAT_LEQ_REF_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_le_compat_r' 'h4/thm/hrat/TRAT_ADD_WELLDEFINED_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_compare_succ_succ' 'h4/thm/toto/qk_numeralOrd_6'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_clearbit_spec_prime'#@#variant 'h4/thm/complex/complex_div_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lcm_1_r' 'h4/thm/HolSmt/r223_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_nlt_ge' 'h4/thm/real/REAL_NOT_LT_'
0. 'coq/Coq_Arith_PeanoNat_Nat_div_mul' 'h4/thm/real/REAL_DIV_RMUL_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rinv_0_lt_compat'#@#variant 'h4/thm/transc/SQRT_POS_LT_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pred_div2_up' 'h4/thm/quote/index_size_def_0'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_nlt_ge' 'h4/thm/real/REAL_NOT_LT_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_log2_2' 'h4/thm/extreal/half_between_e2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_1_l'#@#variant 'h4/thm/rat/RAT_SUB_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_le_mono_r' 'h4/thm/arithmetic/LESS_MONO_ADD_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_inj_wd' 'h4/thm/transc/EXP_INJ_'
0. 'coq/Coq_Arith_PeanoNat_Nat_nlt_0_r' 'h4/thm/bit/BIT_ZERO_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sub_0_le' 'h4/thm/arithmetic/SUB_EQ_0_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftr_opp_r' 'h4/thm/frac/frac_sub_def_'
0. 'coq/Coq_QArith_QArith_base_Zlt_Qlt' 'h4/thm/float/REAL_OF_NUM_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_1_r' 'h4/thm/integer/INT_ADD_REDUCE_1'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_ldiff_ldiff_l' 'h4/thm/logroot/EXP_MUL_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_log2_1' 'h4/thm/extreal/half_between_e2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_cancel_r' 'h4/thm/integer/INT_EQ_RADD_'
0. 'coq/Coq_QArith_QArith_base_Qplus_le_r' 'h4/thm/arithmetic/LT_ADD_LCANCEL_'
0. 'coq/Coq_ZArith_BinInt_Z_pow_pos_nonneg'#@#variant 'h4/thm/integer/INT_LTE_ADD_'#@#variant
0. 'coq/Coq_ZArith_Zquot_Zquot_Zquot' 'h4/thm/arithmetic/SUB_RIGHT_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_le_compat_r' 'h4/thm/arithmetic/LESS_MONO_ADD_'
0. 'coq/Coq_ZArith_BinInt_Z_log2_pos'#@#variant 'h4/thm/transc/EXP_LT_1_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_le_mono_l' 'h4/thm/integer/LT_LADD_'
0. 'coq/Coq_NArith_BinNat_N_divide_0_r' 'h4/thm/divides/ALL_DIVIDES_0_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_nle_gt' 'h4/thm/arithmetic/NOT_LESS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftr_shiftr' 'h4/thm/arithmetic/SUB_PLUS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_double'#@#variant 'h4/thm/util_prob/lg_inv_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_opp_sub_distr' 'h4/thm/real/REAL_SUB_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_neg_iff'#@#variant 'h4/thm/intExtension/INT_SGN_CLAUSES_e2'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_compare' 'h4/thm/intto/pos_pos_thm_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_le_compat_r' 'h4/thm/hrat/TRAT_ADD_WELLDEFINED_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_div_same'#@#variant 'h4/thm/integer/INT_QUOT_ID_'#@#variant
0. 'coq/Coq_Sets_Multiset_meq_sym' 'h4/thm/Encode/biprefix_sym_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div2_succ_double' 'h4/thm/numeral/DIV2_BIT1_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sub_le_mono_r' 'h4/thm/integer/TINT_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_gcd_greatest' 'h4/thm/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lxor_nilpotent' 'h4/thm/arithmetic/ABS_DIFF_EQS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_0_discr' 'h4/thm/intto/BIT2_nz_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_succ' 'h4/thm/extreal/extreal_exp_def_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_add_r' 'h4/thm/hreal/HRAT_LT_ADDL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_1_r' 'h4/thm/extreal/add_rzero_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_le_mono' 'h4/thm/numeral/numeral_lt_4'
0. 'coq/Coq_ZArith_BinInt_Z_sgn_null_iff' 'h4/thm/integer/INT_NEG_EQ0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftr_opp_r' 'h4/thm/real/real_div_'
0. 'coq/Coq_ZArith_Zlogarithm_log_inf_correct/0'#@#variant 'h4/thm/realax/REAL_POS_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_Ropp' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRLRRRR'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_negb_even' 'h4/thm/util_prob/lg_pow_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_max_l' 'h4/thm/extreal/le_max1_'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_lt_mono_r_iff'#@#variant 'h4/thm/int_arith/lt_justify_multiplication_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_sub' 'h4/thm/real/REAL_ADD_SUB_ALT_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_nonneg_r'#@#variant 'h4/thm/real/REAL_LE_RMUL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_1_r' 'h4/thm/integer/INT_MUL_RZERO_'
0. 'coq/Coq_NArith_BinNat_N_le_alt_dichotomy' 'h4/thm/arithmetic/LESS_EQ_CASES_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_pred_sub' 'h4/thm/arithmetic/PRE_SUB1_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_cancel_l' 'h4/thm/rat/RAT_EQ_LMUL_'#@#variant
0. 'coq/Coq_ZArith_Znat_Zabs2N_inj_neg' 'h4/thm/hrat/hrat_sucint_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_add_diag_r' 'h4/thm/gcd/GCD_ADD_R_THM_e1'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_lt_succ_r' 'h4/thm/prim_rec/LESS_SUC_'
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_l' 'h4/thm/realax/TREAL_LT_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_refl' 'h4/thm/real/REAL_LE_REFL_'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_iff' 'h4/thm/ASCIInumbers/toString_inj_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_lt_mono_r' 'h4/thm/arithmetic/LESS_EQ_MONO_ADD_EQ_'
0. 'coq/Coq_NArith_BinNat_N_add_lt_mono_l' 'h4/thm/real/REAL_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_eqb_eq' 'h4/thm/quote/compare_index_equal_'
0. 'coq/Coq_Reals_Rtrigo1_cos2'#@#variant 'h4/thm/numeral/numeral_div2_e2'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_ge_le_iff' 'h4/thm/real/real_gt_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftl_opp_r' 'h4/thm/extreal/sub_rneg_'
0. 'coq/Coq_Arith_PeanoNat_Nat_even_sub' 'h4/thm/float/REAL_OF_NUM_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_pow' 'h4/thm/integer/INT_MUL_CALCULATE_1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_ngt' 'h4/thm/extreal/extreal_lt_def_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_asymm' 'h4/thm/arithmetic/LESS_ANTISYM_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_pos_pred' 'h4/thm/integerRing/int_ring_thms_e17'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftl_1_l'#@#variant 'h4/thm/extreal/sub_lzero_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_le_mono_r'#@#variant 'h4/thm/integral/REAL_LE_LMUL1_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_pred_l' 'h4/thm/numpair/nsnd_le_'
0. 'coq/Coq_NArith_BinNat_N_pow_lt_mono_r_iff'#@#variant 'h4/thm/integer/INT_LT_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mod_mul' 'h4/thm/integer/INT_REM_COMMON_FACTOR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_le_mono' 'h4/thm/divides/LT_PRIMES_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_cancel_r' 'h4/thm/complex/COMPLEX_EQ_RADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_inj_wd' 'h4/thm/complex/COMPLEX_INV_INJ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_le_iff' 'h4/thm/util_prob/X_LE_MAX_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_eq_mul_1'#@#variant 'h4/thm/gcd/GCD_EQ_0_'
0. 'coq/Coq_Reals_Rtrigo1_tan_neg' 'h4/thm/numeral_bit/iDUB_NUMERAL_'
0. 'coq/Coq_NArith_BinNat_N_div2_double' 'h4/thm/transc/ATN_e2'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_ge_le_iff' 'h4/thm/integer/int_ge_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_nonneg_nonpos'#@#variant 'h4/thm/integer/INT_NEG_GE0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_pred_r' 'h4/thm/arithmetic/ADD_SUC_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_cancel_l' 'h4/thm/complex/COMPLEX_EQ_LADD_'#@#variant
0. 'coq/Coq_QArith_Qround_Qceiling_Z' 'h4/thm/ASCIInumbers/toNum_toString_'#@#variant
0. 'coq/Coq_ZArith_Zlogarithm_log_inf_correct/0'#@#variant 'h4/thm/complex/MODU_POS_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_le_mono' 'h4/thm/numpair/tri_LE_'
0. 'coq/Coq_NArith_BinNat_N_lt_trichotomy' 'h4/thm/real/REAL_LT_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_le_mono' 'h4/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_le_succ_r' 'h4/thm/util_prob/LE_SUC_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_succ_lt_mono' 'h4/thm/numeral/numeral_lt_4'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_reg_l' 'h4/thm/real/REAL_EQ_LMUL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_nle_gt' 'h4/thm/real/real_lte_'
0. 'coq/Coq_Structures_OrdersEx_PositiveOrderedTypeBits_bits_lt_antirefl' 'h4/thm/integer/INT_LT_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_sub_le_add_l' 'h4/thm/arithmetic/SUB_RIGHT_LESS_EQ_'
0. 'coq/Coq_Strings_Ascii_ascii_N_embedding' 'h4/thm/binary_ieee/rounding_BIJ_0'
0. 'coq/Coq_Reals_RIneq_Rplus_gt_ge_compat' 'h4/thm/integer/INT_LTE_ADD2_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_square_nonneg'#@#variant 'h4/thm/integer/INT_LE_SQUARE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_Odd_succ' 'h4/thm/binary_ieee/exp_ge2_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_PI_neq0' 'h4/thm/extreal/extreal_distinct_0'
0. 'coq/Coq_QArith_Qminmax_Q_le_max_l' 'h4/thm/extreal/le_max1_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_neq' 'h4/thm/extreal/lt_le_'
0. 'coq/Coq_ZArith_Zorder_Zsucc_lt_compat' 'h4/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_pos_l'#@#variant 'h4/thm/transc/RPOW_LT_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_move_0_r' 'h4/thm/rat/RAT_EQ_0SUB_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_pos_pos' 'h4/thm/integer/INT_LT_MUL_'
0. 'coq/Coq_ZArith_BinInt_Z_lnot_nonneg'#@#variant 'h4/thm/integer/INT_NEG_GT0_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_size_nat_monotone' 'h4/thm/realax/TREAL_ISO_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lt_le_trans' 'h4/thm/extreal/lte_trans_'
0. 'coq/Coq_NArith_BinNat_N_gcd_1_l' 'h4/thm/real/REAL_MUL_LZERO_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_cancel_l' 'h4/thm/real/REAL_EQ_LADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_glb' 'h4/thm/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_sub_le_add_l' 'h4/thm/arithmetic/SUB_RIGHT_GREATER_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_le_iff' 'h4/thm/util_prob/X_LE_MAX_'
0. 'coq/Coq_ZArith_Znat_Z2N_inj_pos' 'h4/thm/complex/MODU_NUM_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_sub_min_distr_l' 'h4/thm/arithmetic/EXP_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_refl' 'h4/thm/arithmetic/LESS_EQ_REFL_'
0. 'coq/Coq_NArith_BinNat_N_pow_le_mono_r_iff'#@#variant 'h4/thm/transc/RPOW_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_total' 'h4/thm/string/string_lt_cases_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_le_refl' 'h4/thm/extreal/le_refl_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_pred_double_spec' 'h4/thm/numeral/numeral_pre_e4'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_le_mono_r' 'h4/thm/arithmetic/LT_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_add_pos_l'#@#variant 'h4/thm/arithmetic/X_LT_EXP_X_'#@#variant
0. 'coq/Coq_ZArith_Zlogarithm_log_inf_correct/0'#@#variant 'h4/thm/real/REAL_POS_'#@#variant
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_iff' 'h4/thm/binary_ieee/float_compare2num_11_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_asymm' 'h4/thm/string/string_lt_antisym_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_eq_mul_0' 'h4/thm/rat/RAT_NO_ZERODIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_move_r' 'h4/thm/integer/INT_EQ_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_le_mono' 'h4/thm/numpair/tri_LT_I_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_total' 'h4/thm/realax/REAL_LT_TOTAL_'
0. 'coq/Coq_Reals_RIneq_cond_nonpos' 'h4/thm/extreal/lt_infty_1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_le_mono' 'h4/thm/arithmetic/LESS_MONO_EQ_'
0. 'coq/Coq_Reals_RIneq_Rminus_0_l' 'h4/thm/HolSmt/r221_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_pow' 'h4/thm/arithmetic/ADD_e1'
0. 'coq/Coq_ZArith_BinInt_Z_opp_succ' 'h4/thm/numeral_bit/numeral_ilog2_1'#@#variant
0. 'coq/Coq_Reals_RIneq_Rgt_irrefl' 'h4/thm/realax/TREAL_LT_REFL_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pow_lt_mono_r'#@#variant 'h4/thm/logroot/ROOT_LE_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_le_compat_l' 'h4/thm/real/REAL_LT_IADD_'
0. 'coq/Coq_ZArith_BinInt_Z_sgn_null_iff' 'h4/thm/real/ABS_ZERO_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_ge_le_iff' 'h4/thm/pred_set/COUNT_applied_'
0. 'coq/Coq_Reals_RIneq_pos_INR'#@#variant 'h4/thm/real/POW_2_LE1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_mod' 'h4/thm/integer/INT_MOD_PLUS_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_testbit_even_0'#@#variant 'h4/thm/toto/numeralOrd_4'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lxor_nilpotent' 'h4/thm/integer/INT_SUB_REFL_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_sub_le_mono_r' 'h4/thm/arithmetic/LESS_MONO_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div_lt'#@#variant 'h4/thm/arithmetic/DIV_LESS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_square_nonneg'#@#variant 'h4/thm/integer/INT_LE_SQUARE_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_lt_mono' 'h4/thm/numeral/numeral_lt_4'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lxor_comm' 'h4/thm/hrat/TRAT_ADD_SYM_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_cancel_r' 'h4/thm/rat/RAT_EQ_RMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_nonneg' 'h4/thm/divides/ZERO_LT_PRIMES_'
0. 'coq/Coq_Strings_Ascii_ascii_nat_embedding' 'h4/thm/prelim/ordering_BIJ_0'
0. 'coq/Coq_QArith_Qround_Qfloor_Z' 'h4/thm/toto/num2cpn_cpn2num_'
0. 'coq/Coq_Numbers_Cyclic_DoubleCyclic_DoubleBase_lt_0_wB'#@#variant 'h4/thm/integer/INT_POS_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_square_spec' 'h4/thm/real/REAL_DOUBLE_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_square_spec' 'h4/thm/numeral/iSQR_'
0. 'coq/Coq_Bool_Bool_negb_xorb_r' 'h4/thm/rat/RAT_AINV_RMUL_'
0. 'coq/Coq_Reals_RIneq_Rplus_gt_compat_r' 'h4/thm/arithmetic/LESS_MONO_MULT_'
0. 'coq/Coq_PArith_BinPos_Pos_add_le_mono_r' 'h4/thm/hreal/HRAT_LT_RADD_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_id' 'h4/thm/ieee/roundmode_BIJ_0'
0. 'coq/Coq_Reals_RIneq_Rplus_le_compat_l' 'h4/thm/real/REAL_LT_IADD_'
0. 'coq/Coq_PArith_BinPos_Pos_min_le_compat_r' 'h4/thm/integer/TINT_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qle_bool_iff' 'h4/thm/quote/index_lt_def_'
0. 'coq/Coq_QArith_Qround_Qfloor_Z' 'h4/thm/binary_ieee/float_compare_BIJ_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sub_lt'#@#variant 'h4/thm/arithmetic/SUB_LESS_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_max_le_compat_r' 'h4/thm/arithmetic/LESS_MONO_ADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_irrefl' 'h4/thm/prim_rec/LESS_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_inj_wd' 'h4/thm/integer/INT_EQ_CALCULATE_1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_testbit_even_0'#@#variant 'h4/thm/quote/index_compare_def_3'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_le_trans' 'h4/thm/rat/RAT_LES_LEQ_TRANS_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_le_mono_l' 'h4/thm/real/REAL_LE_LADD_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_of_Z' 'h4/thm/num/num_ISO_DEF_0'
0. 'coq/Coq_Arith_PeanoNat_Nat_neq_succ_0' 'h4/thm/transc/EXP_NZ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_eq_mul_0' 'h4/thm/rat/RAT_NO_ZERODIV_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_1_l' 'h4/thm/rat/RAT_SUB_LID_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_lt' 'h4/thm/real/REAL_OF_NUM_LE_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_le_compat_r' 'h4/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Reals_R_Ifp_Int_part_INR' 'h4/thm/rat/RAT_SGN_CALCULATE_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_double_plus_one' 'h4/thm/extreal/extreal_inv_def_e2'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_gcd_divide_l' 'h4/thm/real/REAL_MIN_LE1_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div2_succ_double' 'h4/thm/transc/ATN_TAN_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_compare_xO_xO' 'h4/thm/toto/num_dtOrd_e8'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_1_r' 'h4/thm/HolSmt/r127_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_add_le' 'h4/thm/real/ABS_TRIANGLE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_quot_1_r' 'h4/thm/integer/INT_ADD_RID_'
0. 'coq/Coq_NArith_BinNat_N_le_lteq' 'h4/thm/string/string_le_def_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_l' 'h4/thm/realax/TREAL_LT_ADD_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_pos'#@#variant 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_pred_lt_succ' 'h4/thm/bit/TWOEXP_LE_IMP_LE_LOG2_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ldiff_m1_l'#@#variant 'h4/thm/HolSmt/r221_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_le_compat_r' 'h4/thm/extreal/le_radd_imp_'
0. 'coq/Coq_Arith_Wf_nat_well_founded_ltof' 'h4/thm/prim_rec/WF_measure_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_neg'#@#variant 'h4/thm/numeral/numeral_distrib_24'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_le_mono_r' 'h4/thm/arithmetic/LESS_MONO_ADD_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_opp_diag_r' 'h4/thm/integer/INT_ADD_RINV_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_COS_bound/1' 'h4/thm/transc/ATN_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_lteq' 'h4/thm/string/string_le_def_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_shuffle3' 'h4/thm/HolSmt/r086_'
0. 'coq/Coq_ZArith_BinInt_Z_lor_nonneg'#@#variant 'h4/thm/arithmetic/ODD_MULT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_succ_r' 'h4/thm/real/REAL_NEG_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div_le_mono'#@#variant 'h4/thm/arithmetic/DIV_LE_MONOTONE_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rgt_not_eq' 'h4/thm/realax/HREAL_LT_NE_'
0. 'coq/Coq_ZArith_BinInt_Z_ldiff_diag' 'h4/thm/arithmetic/ABS_DIFF_EQS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_add_le' 'h4/thm/real/ABS_TRIANGLE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_sub_le_add_r' 'h4/thm/real/REAL_LT_SUB_RADD_'
0. 'coq/Coq_NArith_BinNat_N_pow_le_mono_l' 'h4/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_nonneg' 'h4/thm/arithmetic/FACT_LESS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_le_mono_l' 'h4/thm/arithmetic/LT_ADD_LCANCEL_'
0. 'coq/Coq_NArith_BinNat_N_nlt_ge' 'h4/thm/rat/RAT_LEQ_LES_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_pos_l'#@#variant 'h4/thm/arithmetic/EXP_BASE_LT_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_le_mono_pos_r'#@#variant 'h4/thm/real/REAL_LT_RMUL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_1' 'h4/thm/transc/SQRT_0_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_opp_r' 'h4/thm/integer/INT_SUB_RNEG_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_min_l' 'h4/thm/arithmetic/SUB_LESS_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_Zpos' 'h4/thm/integer/int_lt_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_shuffle3' 'h4/thm/HolSmt/r086_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_add_distr_l' 'h4/thm/hrat/TRAT_LDISTRIB_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rmult_le_pos' 'h4/thm/arithmetic/LESS_MULT2_'
0. 'coq/Coq_Lists_List_Forall_impl' 'h4/thm/llist/MONO_exists_'
0. 'coq/Coq_Reals_Ratan_atan_increasing' 'h4/thm/transc/EXP_MONO_IMP_'
0. 'coq/Coq_Reals_Rfunctions_pow_1_odd'#@#variant 'h4/thm/real/pow_rat_2'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zle_0_pos'#@#variant 'h4/thm/binary_ieee/zero_lt_twopow_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_lcm_l' 'h4/thm/extreal/le_max1_'
0. 'coq/Coq_NArith_BinNat_N_divide_add_r' 'h4/thm/divides/DIVIDES_SUB_'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_iff' 'h4/thm/DeepSyntax/deep_form_11_5'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_eqke_refl'#@#variant 'h4/thm/rich_list/IS_PREFIX_REFL_'
0. 'coq/Coq_ZArith_Zlogarithm_log_inf_correct1'#@#variant 'h4/thm/real/REAL_POS_'#@#variant
0. 'coq/Coq_Lists_List_lel_refl' 'h4/thm/rich_list/IS_SUFFIX_REFL_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_inv_norm' 'h4/thm/extreal/le_inv_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_sub_l' 'h4/thm/real/REAL_MIN_LE1_'
0. 'coq/Coq_QArith_QOrderedType_QOrder_eq_refl' 'h4/thm/rat/RAT_EQUIV_REF_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_succ_l' 'h4/thm/extreal/mul_lneg_'
0. 'coq/__constr_Coq_Init_Peano_le_0_2' 'h4/thm/prim_rec/LESS_SUC_'
0. 'coq/Coq_Arith_PeanoNat_Nat_succ_lt_mono' 'h4/thm/numeral/numeral_lte_3'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div2_double' 'h4/thm/numRing/num_rewrites_tLLRRRR'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_succ_l' 'h4/thm/integer/INT_MUL_CALCULATE_1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_nonneg_nonpos'#@#variant 'h4/thm/extreal/mul_lt_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_inj_wd' 'h4/thm/quote/index_11_0'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_eq_bool' 'h4/thm/toto/charOrd_'
0. 'coq/Coq_NArith_BinNat_N_setbit_spec_prime'#@#variant 'h4/thm/extreal/sub_rneg_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_lt_mono_neg_r' 'h4/thm/rat/RAT_LES_RMUL_NEG_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_eq_le_incl' 'h4/thm/integer/TINT_EQ_AP_'#@#variant
0. 'coq/Coq_Reals_Exp_prop_div2_double'#@#variant 'h4/thm/transc/LN_EXP_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lxor_nilpotent' 'h4/thm/real/REAL_SUB_REFL_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div_1_r' 'h4/thm/extreal/add_rzero_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_nle' 'h4/thm/HolSmt/r096_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_max_r' 'h4/thm/real/REAL_LE_MAX2_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_le_mono' 'h4/thm/numpair/tri_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_le_mono' 'h4/thm/integer/TINT_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_pow_succ_r' 'h4/thm/arithmetic/MULT_SUC_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_cancel_r' 'h4/thm/rat/RAT_EQ_RADD_'
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_le_mono' 'h4/thm/divides/LT_PRIMES_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_divide_mono_r' 'h4/thm/integer/TINT_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_min_le_compat_r' 'h4/thm/hrat/TRAT_ADD_WELLDEFINED_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_le_mono' 'h4/thm/transc/EXP_MONO_LE_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_refl' 'h4/thm/arithmetic/LESS_EQ_REFL_'
0. 'coq/Coq_Init_Peano_O_S' 'h4/thm/toto/num_dt_distinct_0'
0. 'coq/Coq_NArith_BinNat_N_le_alt_dichotomy' 'h4/thm/integer/INT_LE_TOTAL_'
0. 'coq/Coq_ZArith_BinInt_Z_add_succ_l' 'h4/thm/integer/INT_MUL_CALCULATE_1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_lxor_l' 'h4/thm/integer/INT_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_eq_0' 'h4/thm/arithmetic/ADD_EQ_0_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_le' 'h4/thm/real/REAL_OF_NUM_LE_'
0. 'coq/Coq_PArith_BinPos_Pos_min_glb_iff' 'h4/thm/arithmetic/MIN_LT_e1'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_nonneg_l'#@#variant 'h4/thm/real/REAL_LT_LMUL_IMP_'#@#variant
0. 'coq/Coq_PArith_Pnat_SuccNat2Pos_inj_succ' 'h4/thm/quote/index_size_def_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftl_opp_r' 'h4/thm/real/real_sub_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_le_mono' 'h4/thm/integer/INT_LT_NEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gt_lt_iff' 'h4/thm/integer/INT_GT_CALCULATE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lxor_eq_0_iff' 'h4/thm/real/REAL_SUB_0_'#@#variant
0. 'coq/Coq_Arith_Gt_gt_irrefl' 'h4/thm/realax/TREAL_LT_REFL_'#@#variant
0. 'coq/Coq_ZArith_Zbool_Zle_is_le_bool' 'h4/thm/quote/index_lt_def_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_0_l' 'h4/thm/HolSmt/r128_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_Even_succ' 'h4/thm/numeral/numeral_distrib_21'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_min_glb_lt_iff' 'h4/thm/arithmetic/MIN_LE_e1'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_le_mono_l' 'h4/thm/integer/INT_LT_LADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_total' 'h4/thm/integer/INT_LT_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_compare_xI_xI' 'h4/thm/toto/qk_numeralOrd_6'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_le_mono' 'h4/thm/divides/LT_PRIMES_'
0. 'coq/Coq_Init_Datatypes_CompOpp_involutive' 'h4/thm/integer/INT_REM_CALCULATE_2'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_lcm_r' 'h4/thm/integer/INT_DIVIDES_MUL_e1'
0. 'coq/Coq_NArith_BinNat_N_neq_succ_0' 'h4/thm/intto/BIT1_nz_'
0. 'coq/Coq_Reals_Rminmax_R_min_le_compat_r' 'h4/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lt_add_pos_r'#@#variant 'h4/thm/extreal/le_addr_imp_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_divide_mono_r' 'h4/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_gt_lt_iff' 'h4/thm/arithmetic/GREATER_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_le_mono_nonneg'#@#variant 'h4/thm/integer/INT_LT_MUL2_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_pos_nonneg'#@#variant 'h4/thm/integer/INT_LTE_ADD_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sub_diag' 'h4/thm/arithmetic/SUB_EQUAL_0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_glb_lt_iff' 'h4/thm/extreal/le_min_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lor_diag' 'h4/thm/real/REAL_MAX_REFL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_1_l' 'h4/thm/rat/RAT_MUL_LZERO_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sub_le_mono_r' 'h4/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_le_mono' 'h4/thm/integer/INT_LE_NEG_'
0. 'coq/Coq_NArith_BinNat_N_min_id' 'h4/thm/gcd/GCD_REF_'
0. 'coq/Coq_Reals_RIneq_pos_INR'#@#variant 'h4/thm/complex/MODU_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_succ' 'h4/thm/sptree/lrnext_thm_e4'#@#variant
0. 'coq/Coq_NArith_BinNat_N_nle_gt' 'h4/thm/integer/int_le_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_add_r' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_land_diag' 'h4/thm/arithmetic/MAX_IDEM_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_max_l' 'h4/thm/extreal/le_max1_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_involutive' 'h4/thm/real/REAL_NEGNEG_'
0. 'coq/Coq_Lists_List_app_nil_l' 'h4/thm/option/OPTION_CHOICE_def_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_glb_lt_iff' 'h4/thm/arithmetic/MIN_LT_e1'
0. 'coq/Coq_ZArith_Znat_Nat2Z_id' 'h4/thm/binary_ieee/num2rounding_rounding2num_'
0. 'coq/Coq_NArith_BinNat_N_setbit_spec_prime'#@#variant 'h4/thm/real/REAL_SUB_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_inj_wd' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_eq_cases' 'h4/thm/arithmetic/LESS_OR_EQ_'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_pred' 'h4/thm/complex/COMPLEX_OF_REAL_INV_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_compare_lt_iff' 'h4/thm/quote/index_lt_def_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_add_pos_r'#@#variant 'h4/thm/extreal/le_addr_imp_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_1_r' 'h4/thm/extreal/sub_rzero_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_le_mono' 'h4/thm/bit/TWOEXP_MONO2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_pos_pos' 'h4/thm/arithmetic/LESS_MULT2_'
0. 'coq/Coq_NArith_BinNat_N_mul_lt_mono_pos_l'#@#variant 'h4/thm/transc/RPOW_LT_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_opp_l' 'h4/thm/HolSmt/r132_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_inj_wd' 'h4/thm/numRing/num_rewrites_tRRRRRRRLR'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lcm_1_r' 'h4/thm/integer/INT_SUB_REDUCE_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_lxor_r' 'h4/thm/rat/RAT_AINV_RMUL_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_iff' 'h4/thm/toto/cpn_EQ_cpn_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_le_mono_r' 'h4/thm/arithmetic/LESS_MONO_ADD_EQ_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_lt_trans' 'h4/thm/arithmetic/LESS_EQ_LESS_TRANS_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_neg_is_nonpos' 'h4/thm/string/ORD_BOUND_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_le_mono' 'h4/thm/real/REAL_POS_MONO_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_eq_cases' 'h4/thm/rat/rat_leq_def_'
0. 'coq/Coq_Reals_AltSeries_Alt_PI_RGT_0' 'h4/thm/extreal/lt_infty_2'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_refl' 'h4/thm/integer/INT_DIVIDES_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_max_l' 'h4/thm/realax/HREAL_LT_ADDL_'
0. 'coq/__constr_Coq_Sets_Finite_sets_Finite_0_1' 'h4/thm/llist/LFINITE_rules_0'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_lt_m1_0' 'h4/thm/real/REAL_THIRDS_BETWEEN_e4'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qcmult_integral_l'#@#variant 'h4/thm/extreal/add_not_infty_e1'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_ge_le_iff' 'h4/thm/rat/rat_geq_def_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_Zpos' 'h4/thm/string/char_le_def_'
0. 'coq/Coq_ZArith_BinInt_Z_lxor_m1_l'#@#variant 'h4/thm/util_prob/lg_def_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_le_mono' 'h4/thm/numpair/tri_LT_I_'
0. 'coq/Coq_ZArith_BinInt_Z_pred_inj_wd' 'h4/thm/DeepSyntax/deep_form_11_2'
0. 'coq/Coq_Reals_Rtrigo1_PI_neq0' 'h4/thm/binary_ieee/rounding_distinct_0'
0. 'coq/Coq_NArith_BinNat_N_nle_gt' 'h4/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_clearbit_spec_prime'#@#variant 'h4/thm/rat/RAT_SUB_ADDAINV_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_rem_mul' 'h4/thm/integer/INT_MOD_COMMON_FACTOR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mod_mod' 'h4/thm/integer/INT_MOD_MOD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_max_l' 'h4/thm/real/REAL_LE_MAX1_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_clearbit_spec_prime'#@#variant 'h4/thm/complex/complex_sub_'#@#variant
0. 'coq/Coq_Reals_Rtrigo_calc_sqrt2_neq_0'#@#variant 'h4/thm/realax/REAL_10_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_nlt_ge' 'h4/thm/real/REAL_NOT_LT_'
0. 'coq/Coq_Reals_RIneq_Rlt_not_eq' 'h4/thm/integer/INT_LT_IMP_NE_'
0. 'coq/Coq_Reals_Rminmax_R_OT_lt_total' 'h4/thm/rat/RAT_LES_TOTAL_'
0. 'coq/Coq_PArith_BinPos_Pos_le_nlt' 'h4/thm/integer/INT_NOT_LT_'
0. 'coq/Coq_QArith_QArith_base_Qmult_le_l'#@#variant 'h4/thm/transc/RPOW_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lor_eq_0_iff' 'h4/thm/gcd/GCD_EQ_0_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_max_distr_l' 'h4/thm/arithmetic/EXP_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_le_mono' 'h4/thm/real/REAL_POS_MONO_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gt_lt_iff' 'h4/thm/HolSmt/r103_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_refl' 'h4/thm/rat/RAT_LEQ_REF_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_nonpos_nonneg'#@#variant 'h4/thm/real/REAL_NEG_LT0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_le_mono' 'h4/thm/real/REAL_POS_MONO_'
0. 'coq/Coq_PArith_Pnat_SuccNat2Pos_inj_iff' 'h4/thm/integer/INT_QUOT_CALCULATE_2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_0_l_prime' 'h4/thm/integer/INT_MOD0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_trichotomy' 'h4/thm/string/string_lt_cases_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_divide_xO_xO' 'h4/thm/numpair/tri_LE_'
0. 'coq/Coq_Reals_RIneq_Rge_not_gt' 'h4/thm/real/REAL_LTE_ANTSYM_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_le_compat_r' 'h4/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_pred_inj_wd' 'h4/thm/toto/num_dt_11_0'
0. 'coq/Coq_Arith_Minus_minus_diag_reverse' 'h4/thm/rat/RAT_SUB_ID_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_le_compat_r' 'h4/thm/hrat/TRAT_ADD_WELLDEFINED_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_pos_pos' 'h4/thm/integer/TINT_LT_MUL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_pos'#@#variant 'h4/thm/numeral/numeral_distrib_32'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_succ' 'h4/thm/extreal/extreal_abs_def_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_nle_gt' 'h4/thm/HolSmt/r096_'
0. 'coq/Coq_Reals_Rfunctions_Rinv_pow' 'h4/thm/real/POW_INV_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_eq_cases' 'h4/thm/extreal/le_lt_'
0. 'coq/Coq_PArith_BinPos_Pos_square_spec' 'h4/thm/HolSmt/r216_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_quot_0_l' 'h4/thm/integer/INT_MOD0_'#@#variant
0. 'coq/Coq_Reals_RIneq_cond_nonneg'#@#variant 'h4/thm/frac/FRAC_DNMPOS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_trichotomy' 'h4/thm/extreal/lt_total_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_ldiff_ldiff_l' 'h4/thm/logroot/EXP_MUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_move_0_r' 'h4/thm/rat/RAT_EQ_SUB0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_null_iff' 'h4/thm/numpair/tri_eq_0_e1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_lt_iff' 'h4/thm/extreal/le_max_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_lt_succ_r' 'h4/thm/prim_rec/LESS_SUC_'
0. 'coq/Coq_ZArith_Zorder_Zsucc_le_compat' 'h4/thm/bit/TWOEXP_MONO2_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qlt_irrefl' 'h4/thm/extreal/lt_refl_'
0. 'coq/Coq_Numbers_Cyclic_DoubleCyclic_DoubleBase_lt_0_wB'#@#variant 'h4/thm/real/REAL_POS_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_opp_lt_mono' 'h4/thm/integer/INT_LT_NEG_'
0. 'coq/Coq_NArith_BinNat_N_shiftl_mul_pow2'#@#variant 'h4/thm/integer/INT_SUB_CALCULATE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_sub_lt_add_r' 'h4/thm/integer/INT_LT_ADD_SUB_'
0. 'coq/Coq_Reals_RIneq_Rle_lt_trans' 'h4/thm/rat/RAT_LEQ_LES_TRANS_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_compare_succ_succ' 'h4/thm/quote/index_compare_def_7'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_testbit_even_0'#@#variant 'h4/thm/toto/num_dtOrd_4'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_lt_lin'#@#variant 'h4/thm/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_lub_iff' 'h4/thm/arithmetic/MAX_LE_e1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_refl' 'h4/thm/real/REAL_LE_REFL_'
0. 'coq/Coq_Reals_RIneq_cond_nonneg'#@#variant 'h4/thm/float/twogz_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_le_mono' 'h4/thm/bit/TWOEXP_MONO_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_succ_lt_mono' 'h4/thm/integerRing/int_rewrites_tRRRRRRLRRRR'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_ngt' 'h4/thm/rat/RAT_LEQ_LES_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_involutive' 'h4/thm/real/REAL_INV_INV_'
0. 'coq/Coq_ZArith_BinInt_Z_opp_neg_pos'#@#variant 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRL'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_diag' 'h4/thm/extreal/min_refl_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_glb_lt_iff' 'h4/thm/arithmetic/MIN_LT_e1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_min_distr_l' 'h4/thm/transc/RPOW_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_1_succ' 'h4/thm/transc/ATN_0'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_pos'#@#variant 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_diag' 'h4/thm/numeral/iDUB_'
0. 'coq/Coq_ZArith_BinInt_Z_mod_mul' 'h4/thm/integer/INT_MOD_COMMON_FACTOR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_clearbit_spec_prime'#@#variant 'h4/thm/extreal/sub_rneg_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_add_r' 'h4/thm/real/REAL_LE_MAX1_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_le_mono' 'h4/thm/transc/EXP_MONO_IMP_'
0. 'coq/Coq_ZArith_BinInt_Z_double_spec'#@#variant 'h4/thm/extreal/inv_1over_'#@#variant
0. 'coq/Coq_QArith_QOrderedType_QOrder_not_ge_lt' 'h4/thm/real/REAL_LTE_TOTAL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_succ_l' 'h4/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_pred_double_spec' 'h4/thm/numeral_bit/NUMERAL_iDIV2_4'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_lcm_r' 'h4/thm/extreal/le_max2_'
0. 'coq/Coq_ZArith_Znat_N2Z_is_nonneg'#@#variant 'h4/thm/realax/REAL_POS_'#@#variant
0. 'coq/Coq_Arith_Div2_div2_double'#@#variant 'h4/thm/numRing/num_rewrites_tLLRRRR'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_iff' 'h4/thm/ieee/roundmode_EQ_roundmode_'
0. 'coq/Coq_Bool_Bool_negb_involutive_reverse' 'h4/thm/integer/INT_MUL_CALCULATE_e3'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_divide_mono_l' 'h4/thm/extreal/le_ladd_imp_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_nle_gt' 'h4/thm/rat/RAT_LES_LEQ_'
0. 'coq/Coq_ZArith_Zpower_two_power_nat_S'#@#variant 'h4/thm/extreal/extreal_abs_def_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_double_mul' 'h4/thm/rat/RAT_AINV_LMUL_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_le_mono_nonneg_l'#@#variant 'h4/thm/real/REAL_LT_LMUL_IMP_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_mul_below' 'h4/thm/real/REAL_SUB_ABS_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sub_diag' 'h4/thm/integer/INT_SUB_REFL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_abs_0_iff' 'h4/thm/integer/INT_REM_CALCULATE_e4'#@#variant
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_iff' 'h4/thm/string/ORD_11_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_sub_mask_nul_iff' 'h4/thm/quote/compare_index_equal_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_1' 'h4/thm/integer/INT_ADD_REDUCE_2'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_ge_cases' 'h4/thm/real/REAL_LE_TOTAL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_asymm' 'h4/thm/string/string_lt_antisym_'#@#variant
0. 'coq/Coq_ZArith_Znat_Z2N_inj_pred' 'h4/thm/extreal/extreal_ainv_def_e2'
0. 'coq/Coq_Reals_Rtrigo_def_sin_antisym' 'h4/thm/DeepSyntax/posinf_def_2'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_le_mono' 'h4/thm/divides/LT_PRIMES_'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_one_neq_zero' 'h4/thm/binary_ieee/rounding_distinct_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_le_mono_l' 'h4/thm/arithmetic/LESS_MONO_MULT_'
0. 'coq/Coq_PArith_Pnat_SuccNat2Pos_inj_compare' 'h4/thm/toto/qk_numOrd_def_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_1_l' 'h4/thm/integer/INT_MUL_REDUCE_1'
0. 'coq/Coq_NArith_BinNat_N_add_lt_mono_r' 'h4/thm/integer/INT_LE_RADD_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_neg_iff' 'h4/thm/real/eq_ints_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div2_double' 'h4/thm/prim_rec/PRE_e1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_nonpos_nonneg'#@#variant 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRL'#@#variant
0. 'coq/Coq_NArith_BinNat_N_succ_0_discr' 'h4/thm/toto/num_dt_distinct_0'
0. 'coq/Coq_NArith_BinNat_N_add_shuffle3' 'h4/thm/float/REAL_MUL_AC_e2'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_eq_bool' 'h4/thm/intto/pos_pos_thm_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_lub_lt_iff' 'h4/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_refl' 'h4/thm/arithmetic/LESS_EQ_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_le_mono' 'h4/thm/numeral/numeral_lt_4'
0. 'coq/Coq_ZArith_BinInt_Z_le_succ_r' 'h4/thm/util_prob/LE_SUC_'
0. 'coq/Coq_Reals_R_sqrt_sqrt_mult'#@#variant 'h4/thm/transc/SQRT_DIV_'#@#variant
0. 'coq/Coq_Init_Peano_plus_n_Sm' 'h4/thm/arithmetic/ADD_SUC_'
0. 'coq/Coq_PArith_BinPos_Pos_gcd_greatest' 'h4/thm/divides/DIVIDES_ADD_1_'
0. 'coq/Coq_ZArith_Znat_Z2N_inj_pos' 'h4/thm/rat/RAT_SGN_CALCULATE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftl_1_l'#@#variant 'h4/thm/numeral/texp_help_def_0'
0. 'coq/Coq_NArith_BinNat_N_ge_le_iff' 'h4/thm/arithmetic/GREATER_EQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pos_pred_spec' 'h4/thm/frac/frac_sgn_def_'
0. 'coq/Coq_QArith_QArith_base_Qplus_lt_l' 'h4/thm/arithmetic/LESS_MONO_ADD_EQ_'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_le_mono_r_iff'#@#variant 'h4/thm/integer/INT_LT_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_cancel_r' 'h4/thm/rat/RAT_EQ_RMUL_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_max_le_iff' 'h4/thm/real/REAL_LE_MAX_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_succ_le_mono' 'h4/thm/integerRing/int_rewrites_tLRRRLRRRR'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_le_iff' 'h4/thm/real/REAL_MIN_LE_'
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_lcm_r' 'h4/thm/real/REAL_LE_MAX2_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_opp_l' 'h4/thm/integer/INT_MUL_CALCULATE_1'
0. 'coq/Coq_ZArith_BinInt_Z_log2_le_mono' 'h4/thm/real/REAL_POS_MONO_'
0. 'coq/Coq_ZArith_BinInt_Z_opp_neg_pos'#@#variant 'h4/thm/integer/INT_NEG_LE0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_le_compat_r' 'h4/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Sets_Multiset_meq_refl' 'h4/thm/sorting/PERM_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_shiftl_opp_r' 'h4/thm/complex/complex_div_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_succ_l' 'h4/thm/rat/RAT_AINV_LMUL_'
0. 'coq/Coq_NArith_BinNat_N_lxor_nilpotent' 'h4/thm/real/REAL_SUB_REFL_'#@#variant
0. 'coq/Coq_Reals_Rfunctions_pow_1'#@#variant 'h4/thm/complex/COMPLEX_SCALAR_RMUL_ONE_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_even_1' 'h4/thm/ieee/Minus_zero_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_involutive' 'h4/thm/integer/INT_QUOT_CALCULATE_e4'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_minus_one_neq_zero'#@#variant 'h4/thm/ieee/roundmode_distinct_e5'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftr_div_pow2'#@#variant 'h4/thm/integer/int_sub_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_sub_lt_add_r' 'h4/thm/rat/RAT_RSUB_LES_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_xO_r' 'h4/thm/rat/RAT_AINV_RMUL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div2_neg' 'h4/thm/real/REAL_POS_LE_ZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_inj_wd' 'h4/thm/numeral/numeral_distrib_19'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_lub' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_e2'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_eqb' 'h4/thm/toto/charOrd_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_le_incl' 'h4/thm/integer/INT_LT_IMP_LE_'
0. 'coq/Coq_NArith_Ndist_ni_le_min_1' 'h4/thm/real/REAL_MIN_LE1_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_pred_l' 'h4/thm/bit/BIT_LOG2_'
0. 'coq/Coq_Reals_RIneq_Ropp_mult_distr_r_reverse' 'h4/thm/real/REAL_NEG_RMUL_'
0. 'coq/Coq_ZArith_Zeven_Zodd_not_Zeven' 'h4/thm/float/FLOAT_DISTINCT_5'
0. 'coq/Coq_Arith_Mult_mult_lt_compat_r'#@#variant 'h4/thm/extreal/le_rmul_imp_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_inj_wd' 'h4/thm/integer/INT_EQ_CALCULATE_1'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_le_trans' 'h4/thm/rat/RAT_LES_LEQ_TRANS_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_le_compat_l' 'h4/thm/extreal/le_ladd_imp_'
0. 'coq/Coq_Numbers_Natural_BigN_Nbasic_plusnS' 'h4/thm/rat/RAT_AINV_RMUL_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_opp_r' 'h4/thm/arithmetic/ADD_CLAUSES_e3'
0. 'coq/Coq_QArith_Qround_Qceiling_resp_le' 'h4/thm/realax/TREAL_ISO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_succ_l' 'h4/thm/complex/COMPLEX_MUL_LNEG_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_pred_inj_wd' 'h4/thm/numeral/numeral_eq_e7'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_gt_cases' 'h4/thm/integer/INT_LTE_TOTAL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_nonneg' 'h4/thm/divides/ZERO_LT_PRIMES_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_max_r' 'h4/thm/hreal/HRAT_LT_ADDR_'
0. 'coq/Coq_NArith_BinNat_N_max_le_compat_r' 'h4/thm/extreal/le_radd_imp_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_opp_diag_l' 'h4/thm/hreal/HREAL_MUL_LINV_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_lt_mono_l' 'h4/thm/real/REAL_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_irrefl' 'h4/thm/hreal/HRAT_LT_REFL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_pos_pos' 'h4/thm/integer/TINT_LT_MUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_lt_trans' 'h4/thm/arithmetic/LESS_EQ_LESS_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_eq_cases' 'h4/thm/string/string_le_def_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_lt_mono' 'h4/thm/numeral/numeral_lte_3'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_lt_mono' 'h4/thm/real/REAL_LE_NEG2_'
0. 'coq/__constr_Coq_MSets_MSetPositive_PositiveSet_ct_0_3' 'h4/thm/gcd/IS_GCD_0L_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lxor_nilpotent' 'h4/thm/integer/INT_SUB_REFL_'#@#variant
0. 'coq/Coq_ZArith_Zsqrt_compat_Zsqrt_plain_is_pos'#@#variant 'h4/thm/real/REAL_INV_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_le_mono' 'h4/thm/divides/LT_PRIMES_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_le_mono_nonneg_l'#@#variant 'h4/thm/real/REAL_LT_LMUL_IMP_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_cancel_l' 'h4/thm/integer/LT_LADD_'
0. 'coq/Coq_PArith_Pnat_Nat2Pos_inj_pred' 'h4/thm/complex/COMPLEX_OF_REAL_NEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_alt_dichotomy' 'h4/thm/arithmetic/LESS_EQ_CASES_'
0. 'coq/Coq_ZArith_BinInt_Z_succ_le_mono' 'h4/thm/numeral/numeral_distrib_22'
0. 'coq/Coq_Reals_RIneq_Rgt_asym' 'h4/thm/realax/HREAL_LT_GT_'
0. 'coq/Coq_Arith_Lt_neq_0_lt' 'h4/thm/arithmetic/LESS_0_CASES_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_lt_mono' 'h4/thm/numeral/numeral_lt_3'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_pred' 'h4/thm/numeral/iDUB_removal_1'
0. 'coq/Coq_QArith_QArith_base_inject_Z_opp' 'h4/thm/extreal/extreal_inv_def_e2'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_nlt_ge' 'h4/thm/rat/RAT_LES_LEQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_refl' 'h4/thm/rat/RAT_LEQ_REF_'
0. 'coq/Coq_ZArith_Zpow_alt_Zpower_alt_0_r'#@#variant 'h4/thm/arithmetic/EXP_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_lt_mono_r' 'h4/thm/hreal/HRAT_LT_RMUL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_1_r'#@#variant 'h4/thm/arithmetic/DIV2_def_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rle_min_compat_l' 'h4/thm/integer/INT_LT_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_Zpos' 'h4/thm/integer/int_lt_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rle_0_sqr' 'h4/thm/transc/ATN_0'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_le_mono' 'h4/thm/transc/EXP_MONO_IMP_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_cancel_l' 'h4/thm/hreal/HRAT_EQ_LADD_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_ge_cases' 'h4/thm/real/REAL_LET_TOTAL_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_neg_xO'#@#variant 'h4/thm/extreal/extreal_exp_def_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_cancel_r' 'h4/thm/integer/INT_EQ_RADD_'
0. 'coq/Coq_NArith_BinNat_N_lcm_divide_iff' 'h4/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_succ_r' 'h4/thm/arithmetic/ADD_SUC_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_nlt_ge' 'h4/thm/integer/INT_NOT_LT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_add_lt_sub_r' 'h4/thm/real/REAL_LE_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div2_double' 'h4/thm/numRing/num_rewrites_tLLRRRR'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_lt_cancel' 'h4/thm/arithmetic/LESS_MONO_REV_'
0. 'coq/Coq_ZArith_BinInt_Zpos_eq_iff' 'h4/thm/rat/RAT_EQ_NUM_CALCULATE_0'
0. 'coq/Coq_ZArith_BinInt_Z_lt_pred_l' 'h4/thm/numpair/invtri_le_'
0. 'coq/Coq_ZArith_BinInt_Z_add_le_mono_r' 'h4/thm/rat/RAT_LES_RADD_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_sqrt' 'h4/thm/toto/num_dt_size_def_e2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pos_pred_succ' 'h4/thm/rat/RAT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_odd_1' 'h4/thm/rat/rat_of_num_def_1'
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_pos_r'#@#variant 'h4/thm/rat/RAT_LES_RMUL_POS_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_pos_pos' 'h4/thm/realax/REAL_LT_MUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_neg_nonpos' 'h4/thm/rat/RAT_LES0_LEQ0_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div2_succ_double' 'h4/thm/transc/LN_EXP_'
0. 'coq/Coq_ZArith_Zlogarithm_log_near_correct1'#@#variant 'h4/thm/binary_ieee/zero_lt_twopow_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_le_mono_r_iff'#@#variant 'h4/thm/integer/INT_LE_MONO_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_eq_add_0' 'h4/thm/gcd/GCD_EQ_0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lor_diag' 'h4/thm/extreal/min_refl_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_ngt' 'h4/thm/HolSmt/r115_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_1_r'#@#variant 'h4/thm/arithmetic/DIV2_def_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftr_opp_r' 'h4/thm/extreal/extreal_div_def_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_1_r' 'h4/thm/HolSmt/r223_'
0. 'coq/Coq_Strings_Ascii_ascii_N_embedding' 'h4/thm/ieee/ccode_BIJ_0'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_lt_mono_l' 'h4/thm/arithmetic/LT_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_add_r' 'h4/thm/integer/INT_DIVIDES_MUL_0'
0. 'coq/Coq_Reals_R_sqrt_sqrt_positivity'#@#variant 'h4/thm/real/REAL_INV_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mod_1_r'#@#variant 'h4/thm/arithmetic/EXP_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_le_compat_r' 'h4/thm/arithmetic/LESS_MONO_ADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_assoc' 'h4/thm/hrat/TRAT_ADD_ASSOC_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_of_Qc' 'h4/thm/prelim/num2ordering_ordering2num_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lnot_0_l' 'h4/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_oppc' 'h4/thm/extreal/extreal_ainv_def_e2'
0. 'coq/Coq_NArith_BinNat_N_lnot_0_l' 'h4/thm/rat/RAT_SUB_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_nlt' 'h4/thm/rat/RAT_LEQ_LES_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_lt_cancel' 'h4/thm/arithmetic/LESS_MONO_REV_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_gt_lt_iff' 'h4/thm/real/real_gt_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_l' 'h4/thm/real/REAL_MAX_ALT_e1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_lt_iff' 'h4/thm/arithmetic/MAX_LT_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_sub_le_add_r' 'h4/thm/integer/INT_LT_ADD_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_pred_double_spec' 'h4/thm/numRing/num_rewrites_tLRLRR'
0. 'coq/Coq_ZArith_BinInt_Z_div_le_mono'#@#variant 'h4/thm/arithmetic/DIV_LE_MONOTONE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_divide_mono_r' 'h4/thm/hrat/TRAT_MUL_WELLDEFINED_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_id' 'h4/thm/extreal/max_refl_'
0. 'coq/Coq_Bool_Bool_diff_true_false' 'h4/thm/binary_ieee/float_compare_distinct_e5'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_iff' 'h4/thm/ASCIInumbers/toString_inj_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lcm_diag' 'h4/thm/arithmetic/MIN_IDEM_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pos_pred_succ' 'h4/thm/pred_set/pair_to_num_inv_0'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_setbit_spec_prime'#@#variant 'h4/thm/complex/complex_sub_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_1_l'#@#variant 'h4/thm/arithmetic/ZERO_MOD_'#@#variant
0. 'coq/Coq_Arith_Max_le_max_l' 'h4/thm/hreal/HRAT_LT_ADDL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_lub_iff' 'h4/thm/arithmetic/MAX_LE_e1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_setbit_spec_prime'#@#variant 'h4/thm/integer/int_sub_'
0. 'coq/Coq_Reals_Rbasic_fun_abs_IZR' 'h4/thm/complex/COMPLEX_OF_REAL_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_eq_mul_1'#@#variant 'h4/thm/arithmetic/MULT_EQ_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_nonneg_pos'#@#variant 'h4/thm/extreal/lte_mul_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_total' 'h4/thm/arithmetic/LESS_LESS_CASES_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ldiff_m1_l'#@#variant 'h4/thm/rat/RAT_SUB_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_irrefl' 'h4/thm/prim_rec/LESS_REFL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_pos'#@#variant 'h4/thm/real/REAL_LE_INV_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_succ_pred_double' 'h4/thm/numeral/numeral_pre_e4'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_add_le' 'h4/thm/real/ABS_TRIANGLE_'
0. 'coq/Coq_Reals_RIneq_Rnot_le_lt' 'h4/thm/real/REAL_LTE_TOTAL_'
0. 'coq/Coq_Arith_Factorial_fact_le' 'h4/thm/integer/TINT_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_le_iff' 'h4/thm/arithmetic/MIN_LE_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_lt_mono_l' 'h4/thm/integer/INT_LE_LADD_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_le_mono' 'h4/thm/divides/LT_PRIMES_'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_lt_cancel' 'h4/thm/arithmetic/LESS_MONO_REV_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pow_lt_mono'#@#variant 'h4/thm/integer/INT_LT_MUL2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_le_mono_l' 'h4/thm/hreal/HRAT_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_pos_nonneg'#@#variant 'h4/thm/extreal/lte_add_'#@#variant
0. 'coq/Coq_Arith_Lt_lt_0_neq'#@#variant 'h4/thm/intExtension/INT_GT0_IMP_NOT0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_nonneg_pos'#@#variant 'h4/thm/util_prob/REAL_LT_LE_MUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_le_trans' 'h4/thm/rat/RAT_LES_LEQ_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_le_mono_l' 'h4/thm/integer/LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lcm_1_l'#@#variant 'h4/thm/numeral/numeral_texp_help_0'
0. 'coq/Coq_Arith_Gt_gt_n_S' 'h4/thm/integer/TINT_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_setbit_spec_prime'#@#variant 'h4/thm/extreal/extreal_sub_add_'
0. 'coq/Coq_Reals_Rtrigo_calc_sqrt2_neq_0'#@#variant 'h4/thm/ieee/roundmode_distinct_1'
0. 'coq/Coq_Lists_List_app_length' 'h4/thm/list/LENGTH_APPEND_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_inj_l' 'h4/thm/integer/INT_EQ_RMUL_IMP_'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_id' 'h4/thm/prelim/num2ordering_ordering2num_'
0. 'coq/Coq_ZArith_Zorder_Zplus_gt_compat_r' 'h4/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_mul_r' 'h4/thm/logroot/EXP_MUL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_succ_lt_mono' 'h4/thm/arithmetic/LESS_EQ_MONO_'
0. 'coq/Coq_NArith_BinNat_N_pos_pred_spec' 'h4/thm/util_prob/lg_pow_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lcm_eq_0' 'h4/thm/real/REAL_ENTIRE_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_iff' 'h4/thm/DeepSyntax/deep_form_11_4'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_glb_lt_iff' 'h4/thm/arithmetic/MIN_LE_e1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_clearbit_spec_prime'#@#variant 'h4/thm/extreal/extreal_sub_add_'
0. 'coq/Coq_NArith_BinNat_N_divide_sub_r' 'h4/thm/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_lt_mono_l' 'h4/thm/realax/HREAL_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lxor_m1_l'#@#variant 'h4/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_factor_l' 'h4/thm/realax/HREAL_LT_ADDL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_0_r' 'h4/thm/divides/ALL_DIVIDES_0_'
0. 'coq/Coq_NArith_BinNat_N_mul_lt_mono_pos_l'#@#variant 'h4/thm/real/REAL_LE_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_r' 'h4/thm/real/REAL_MAX_ALT_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_neq' 'h4/thm/prim_rec/NOT_LESS_EQ_'
0. 'coq/Coq_ZArith_BinInt_Z_pow_0_r'#@#variant 'h4/thm/util_prob/logr_1_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_cancel_l' 'h4/thm/rat/RAT_EQ_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_lt_mono_r_iff'#@#variant 'h4/thm/real/REAL_LE_LMUL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_min_l' 'h4/thm/arithmetic/SUB_LESS_EQ_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_add_le' 'h4/thm/real/REAL_ABS_TRIANGLE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_eq_le_incl' 'h4/thm/HolSmt/t007_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_succ_m1'#@#variant 'h4/thm/real/REAL_THIRDS_BETWEEN_tLRL'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_min_id' 'h4/thm/real/REAL_MAX_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_setbit_spec_prime'#@#variant 'h4/thm/frac/frac_div_def_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_cancel_r' 'h4/thm/arithmetic/EQ_MONO_ADD_EQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_le_mono_l' 'h4/thm/real/REAL_LE_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_1_l' 'h4/thm/integer/INT_SUB_REDUCE_1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sub_le_mono_r' 'h4/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_cancel_l' 'h4/thm/realax/HREAL_EQ_LADD_'
0. 'coq/Coq_ZArith_Zorder_Zsucc_lt_reg' 'h4/thm/arithmetic/LESS_MONO_REV_'
0. 'coq/Coq_NArith_BinNat_N_le_lteq' 'h4/thm/rat/rat_leq_def_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_move_r' 'h4/thm/integer/INT_EQ_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_opp_diag_l' 'h4/thm/bit/SUC_SUB_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_sin_lb_gt_0'#@#variant 'h4/thm/transc/SIN_POS_PI2_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_diag'#@#variant 'h4/thm/arithmetic/TIMES2_'#@#variant
0. 'coq/Coq_Lists_List_map_app' 'h4/thm/llist/LMAP_APPEND_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_le_mono' 'h4/thm/numpair/tri_LT_I_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_inj_wd' 'h4/thm/numRing/num_rewrites_tRRRRRRRLR'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_lxor_r' 'h4/thm/rat/RAT_AINV_RMUL_'
0. 'coq/Coq_PArith_BinPos_Pos_lt_nle' 'h4/thm/rat/RAT_LES_LEQ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lcm_1_l'#@#variant 'h4/thm/util_prob/lg_def_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lt_add_lt_sub_r' 'h4/thm/real/REAL_LT_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lcm_diag' 'h4/thm/extreal/min_refl_'
0. 'coq/Coq_ZArith_Znat_Z2Nat_inj_le'#@#variant 'h4/thm/float/FLOAT_GE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lcm_1_r' 'h4/thm/HolSmt/r127_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_refl' 'h4/thm/arithmetic/LESS_EQ_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_eq_cases' 'h4/thm/rat/rat_leq_def_'
0. 'coq/Coq_QArith_QArith_base_Qmult_le_l'#@#variant 'h4/thm/real/REAL_LT_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_min_r' 'h4/thm/real/REAL_MIN_LE2_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_refl' 'h4/thm/integer/INT_DIVIDES_REFL_'
0. 'coq/Coq_Reals_Ratan_atan_right_inv' 'h4/thm/numeral_bit/NUMERAL_iDIV2_2'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_iff' 'h4/thm/string/ORD_11_'
0. 'coq/Coq_ZArith_BinInt_Z_lxor_nilpotent' 'h4/thm/real/REAL_SUB_REFL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_pred_l' 'h4/thm/arithmetic/ADD_e1'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_negb_odd' 'h4/thm/frac/frac_sgn_def_'
0. 'coq/Coq_Reals_RIneq_Rgt_asym' 'h4/thm/integer/INT_LT_GT_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_succ_diag_r' 'h4/thm/bit/BIT_B_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_le_mono' 'h4/thm/real/REAL_POS_MONO_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_setbit_spec_prime'#@#variant 'h4/thm/frac/frac_sub_def_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_diag' 'h4/thm/arithmetic/TIMES2_'#@#variant
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_div2' 'h4/thm/complex/COMPLEX_OF_REAL_NEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_neq_succ_0' 'h4/thm/quote/index_distinct_1'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_0'#@#variant 'h4/thm/hrat/TRAT_SUCINT_0'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_le_mono_r'#@#variant 'h4/thm/integral/REAL_LE_LMUL1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_id' 'h4/thm/extreal/min_refl_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_of_Qc' 'h4/thm/ieee/roundmode_BIJ_0'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_neg_iff' 'h4/thm/integer/INT_INJ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_refl' 'h4/thm/rat/RAT_LEQ_REF_'
0. 'coq/Coq_Reals_Rtrigo_calc_deg_rad' 'h4/thm/string/IMPLODE_EXPLODE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lnot_0_l' 'h4/thm/HolSmt/r129_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftr_opp_r' 'h4/thm/complex/complex_sub_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ldiff_m1_l'#@#variant 'h4/thm/util_prob/lg_def_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftl_mul_pow2'#@#variant 'h4/thm/real/real_div_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_lt_m1_0'#@#variant 'h4/thm/extreal/lt_infty_2'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_Even_succ' 'h4/thm/numeral/numeral_distrib_21'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_nonneg' 'h4/thm/transc/ATN_BOUNDS_0'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_succ_pred_double' 'h4/thm/numeral_bit/NUMERAL_iDIV2_4'
0. 'coq/Coq_PArith_BinPos_Pos_pred_double_succ' 'h4/thm/numeral_bit/NUMERAL_iDIV2_4'
0. 'coq/Coq_QArith_QArith_base_Qplus_0_l'#@#variant 'h4/thm/realax/TREAL_MUL_LID_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_sin_neg' 'h4/thm/float/REAL_ABS_INV_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_add_le' 'h4/thm/real/ABS_TRIANGLE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_divide_mono_l' 'h4/thm/real/REAL_LT_IADD_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_opp_pos' 'h4/thm/numRing/num_ring_thms_e17'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_succ_lt_mono' 'h4/thm/numeral/numeral_distrib_22'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_lt_mono_l' 'h4/thm/rat/RAT_LES_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pos_pred_succ' 'h4/thm/ieee/num2roundmode_roundmode2num_'
0. 'coq/Coq_QArith_Qminmax_Q_max_le_compat_l' 'h4/thm/realax/REAL_LT_IADD_'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_minus_one_neq_zero'#@#variant 'h4/thm/binary_ieee/float_compare_distinct_e5'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mod_small' 'h4/thm/real/REAL_MIN_ALT_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_m1_0'#@#variant 'h4/thm/extreal/lt_infty_2'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_pos_l'#@#variant 'h4/thm/transc/RPOW_LE_'#@#variant
0. 'coq/Coq_QArith_Qcanon_Q_apart_0_1'#@#variant 'h4/thm/prelim/ordering_distinct_1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_1_l' 'h4/thm/rat/RAT_SUB_LID_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_nlt_ge' 'h4/thm/rat/RAT_LEQ_LES_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_lt_mono_r_iff'#@#variant 'h4/thm/real/REAL_LT_LMUL_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_gt' 'h4/thm/real/REAL_OF_NUM_LE_'
0. 'coq/Coq_ZArith_Zquot_Z_rem_same' 'h4/thm/arithmetic/ABS_DIFF_EQS_'
0. 'coq/Coq_PArith_Pnat_Nat2Pos_inj_sub' 'h4/thm/integer/INT_REM_CALCULATE_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_succ_lt_mono' 'h4/thm/numpair/tri_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_lt_mono_l' 'h4/thm/hreal/HRAT_LT_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mod_1_l'#@#variant 'h4/thm/arithmetic/ONE_MOD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_lt_mono_r' 'h4/thm/hreal/HRAT_LT_RMUL_'
0. 'coq/Coq_QArith_QArith_base_Qle_refl' 'h4/thm/realax/TREAL_EQ_REFL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lt_trichotomy' 'h4/thm/arithmetic/LESS_LESS_CASES_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_clearbit_spec_prime'#@#variant 'h4/thm/extreal/sub_rneg_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_nonneg_nonneg' 'h4/thm/arithmetic/LESS_MULT2_'
0. 'coq/Coq_Arith_Factorial_lt_O_fact' 'h4/thm/prim_rec/LESS_0_'
0. 'coq/Coq_ZArith_BinInt_Z_neq_succ_diag_r' 'h4/thm/prim_rec/SUC_ID_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_glb_lt_iff' 'h4/thm/arithmetic/MIN_LE_e1'
0. 'coq/Coq_Arith_PeanoNat_Nat_eq_mul_0' 'h4/thm/arithmetic/MULT_EQ_0_'
0. 'coq/Coq_Reals_Rsqrt_def_pow_2_n_neq_R0' 'h4/thm/extreal/extreal_not_infty_0'
0. 'coq/Coq_NArith_BinNat_N_pred_div2_up' 'h4/thm/extreal/extreal_exp_def_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_glb_lt_iff' 'h4/thm/arithmetic/MIN_LE_e1'
0. 'coq/Coq_NArith_BinNat_N_nle_gt' 'h4/thm/rat/RAT_LES_LEQ_'
0. 'coq/Coq_NArith_BinNat_N_sub_diag' 'h4/thm/rat/RAT_SUB_ID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lcm_1_l' 'h4/thm/HolSmt/r079_'
0. 'coq/Coq_ZArith_BinInt_Z_lcm_1_l'#@#variant 'h4/thm/HolSmt/r128_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_lcm_r' 'h4/thm/extreal/le_max2_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_add_distr' 'h4/thm/frac/FRAC_SUB_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_pred_l' 'h4/thm/integer/INT_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_0_l' 'h4/thm/integer/INT_REM0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_add_cancel_r' 'h4/thm/divides/DIVIDES_ADD_2_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_ge_le_iff' 'h4/thm/integer/int_gt_'
0. 'coq/Coq_Arith_Le_le_n_S' 'h4/thm/real/REAL_POS_MONO_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_trichotomy' 'h4/thm/rat/RAT_LES_TOTAL_'
0. 'coq/Coq_NArith_BinNat_N_sub_max_distr_l' 'h4/thm/transc/RPOW_SUB_'
0. 'coq/Coq_Structures_DecidableTypeEx_N_as_DT_lt_not_eq' 'h4/thm/rat/RAT_LES_IMP_NEQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_irrefl' 'h4/thm/hreal/HRAT_LT_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_opp' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRLRRRR'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zle_0_nat'#@#variant 'h4/thm/binary_ieee/zero_le_twopow_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_0_r' 'h4/thm/arithmetic/PRE_SUB1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_add_lt_sub_r' 'h4/thm/integer/INT_LE_SUB_RADD_'
0. 'coq/Coq_ZArith_BinInt_Z_lnot_involutive' 'h4/thm/integer/INT_NEGNEG_'
0. 'coq/Coq_ZArith_BinInt_Z_neq_succ_diag_l' 'h4/thm/prim_rec/SUC_ID_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_0_r'#@#variant 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRL'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_lt_mono_l' 'h4/thm/arithmetic/ADD_MONO_LESS_EQ_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div_1_r' 'h4/thm/HolSmt/r223_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_le_compat_l' 'h4/thm/realax/REAL_LT_IADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_quot_le_mono' 'h4/thm/arithmetic/DIV_LE_MONOTONE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_le_mono' 'h4/thm/integerRing/int_rewrites_tLRRRLRRR'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_1' 'h4/thm/integer/INT_ADD_REDUCE_2'
0. 'coq/Coq_Reals_Rtrigo_calc_Rlt_3PI2_2PI'#@#variant 'h4/thm/real/REAL_THIRDS_BETWEEN_2'#@#variant
0. 'coq/Coq_NArith_BinNat_N_double_mul' 'h4/thm/integer/INT_MUL_CALCULATE_1'
0. 'coq/Coq_Arith_PeanoNat_Nat_eq_mul_0_r' 'h4/thm/extreal/add_not_infty_e1'
0. 'coq/Coq_Arith_PeanoNat_Nat_max_le_compat_r' 'h4/thm/integer/TINT_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_le_mono' 'h4/thm/divides/LT_PRIMES_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ldiff_land' 'h4/thm/integer/INT_SUB_CALCULATE_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_compare_xO_xO' 'h4/thm/toto/numeralOrd_5'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_iff' 'h4/thm/string_num/n2s_11_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_quot_le_mono'#@#variant 'h4/thm/integral/REAL_LE_RMUL1_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_nonneg_l'#@#variant 'h4/thm/logroot/ROOT_LE_MONO_'#@#variant
0. 'coq/Coq_Classes_DecidableClass_Decidable_eq_bool_obligation_1' 'h4/thm/integer/INT_SUB_0_'#@#variant
0. 'coq/Coq_QArith_Qabs_Qle_Qabs' 'h4/thm/prim_rec/LESS_SUC_REFL_'
0. 'coq/Coq_Reals_RIneq_Rplus_lt_0_compat' 'h4/thm/realax/TREAL_LT_MUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_even_sub' 'h4/thm/integer/INT_SUB_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div2_double' 'h4/thm/prim_rec/PRE_e1'
0. 'coq/Coq_QArith_Qcanon_Q_apart_0_1'#@#variant 'h4/thm/ieee/ccode_distinct_0'
0. 'coq/Coq_NArith_BinNat_N_mul_lt_mono_nonneg'#@#variant 'h4/thm/real/REAL_LE_MUL2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_le_mono_r' 'h4/thm/hreal/HRAT_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ones_equiv'#@#variant 'h4/thm/numRing/num_rewrites_tLRLRR'
0. 'coq/Coq_Reals_Ratan_atan_bound/1'#@#variant 'h4/thm/transc/ATN_BOUNDS_e1'#@#variant
0. 'coq/Coq_Reals_Raxioms_R1_neq_R0' 'h4/thm/frac/FRAC_1_0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_0_r'#@#variant 'h4/thm/integer/INT_MOD_1_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_b2z_div2'#@#variant 'h4/thm/extreal/extreal_sub_def_e6'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_le_compat_r' 'h4/thm/extreal/le_radd_imp_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_trichotomy' 'h4/thm/string/string_lt_cases_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_min_glb_iff' 'h4/thm/arithmetic/MIN_LE_e1'
0. 'coq/Coq_ZArith_BinInt_Z_rem_0_l' 'h4/thm/integer/INT_REM0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_quot_le_mono'#@#variant 'h4/thm/real/REAL_LT_RMUL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_divide_mono_r' 'h4/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_pos_le' 'h4/thm/divides/DIVIDES_LE_'
0. 'coq/Coq_Bool_Bool_diff_true_false' 'h4/thm/extreal/extreal_distinct_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_1' 'h4/thm/transc/TAN_0_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_odd' 'h4/thm/ieee/Exponent_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_1' 'h4/thm/util_prob/ONE_MINUS_HALF_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_ge' 'h4/thm/real/REAL_OF_NUM_LE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sub_le_mono_r' 'h4/thm/integer/TINT_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Reals_Ratan_atan_opp' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_succ_r' 'h4/thm/complex/COMPLEX_NEG_RDIV_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_gt_cases' 'h4/thm/integer/INT_LTE_TOTAL_'
0. 'coq/Coq_QArith_Qround_Qceiling_Z' 'h4/thm/ieee/roundmode_BIJ_0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lnot_0_l' 'h4/thm/HolSmt/r129_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_pred_double_spec' 'h4/thm/numeral/numeral_suc_1'
0. 'coq/Coq_Arith_PeanoNat_Nat_min_le_compat_l' 'h4/thm/extreal/le_ladd_imp_'
0. 'coq/Coq_ZArith_Znat_N_nat_Z' 'h4/thm/extreal/extreal_of_num_def_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_ngt' 'h4/thm/real/real_lte_'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_lt_total' 'h4/thm/rat/RAT_LES_TOTAL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_pos_pos' 'h4/thm/integer/INT_LT_MUL_'
0. 'coq/Coq_Reals_Rminmax_R_min_glb' 'h4/thm/divides/DIVIDES_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_1' 'h4/thm/integerRing/int_rewrites_tRRRRRRRRRRRRRL'
0. 'coq/Coq_Reals_ROrderedType_ROrder_le_antisym' 'h4/thm/divides/DIVIDES_ANTISYM_'
0. 'coq/Coq_Reals_Rminmax_R_min_id' 'h4/thm/extreal/max_refl_'
0. 'coq/Coq_ZArith_Znat_Z2N_inj_quot2' 'h4/thm/extreal/extreal_exp_def_0'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_shuffle3' 'h4/thm/HolSmt/r220_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_nge' 'h4/thm/real/real_lte_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_nlt_ge' 'h4/thm/arithmetic/NOT_LESS_EQUAL_'
0. 'coq/Coq_Reals_PartSum_uniqueness_sum' 'h4/thm/seq/SEQ_UNIQ_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_total' 'h4/thm/real/REAL_LT_TOTAL_'
0. 'coq/Coq_Strings_Ascii_ascii_N_embedding' 'h4/thm/rat/RAT_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_oppc' 'h4/thm/toto/num_dt_size_def_e2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_factor_r' 'h4/thm/integer/INT_DIVIDES_MUL_e1'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_pos'#@#variant 'h4/thm/real/REAL_LT_INV_EQ_'#@#variant
0. 'coq/Coq_Strings_Ascii_ascii_nat_embedding' 'h4/thm/toto/cpn_BIJ_0'
0. 'coq/Coq_NArith_BinNat_N_add_1_l'#@#variant 'h4/thm/extreal/sub_lzero_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_sub_lt_add_l' 'h4/thm/rat/RAT_LSUB_LES_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_iff' 'h4/thm/binary_ieee/rounding_EQ_rounding_'
0. 'coq/Coq_ZArith_Zlogarithm_log_inf_correct2/0' 'h4/thm/complex/RE_IM_LE_MODU_0'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_of_Qc' 'h4/thm/rat/rat_dnm_def_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_odd_1' 'h4/thm/float/FLOAT_INFINITIES_SIGNED_e1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_le_mono' 'h4/thm/numpair/tri_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pred_le_mono' 'h4/thm/real/REAL_POS_MONO_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_divide_iff' 'h4/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_NArith_BinNat_N_add_lt_mono_l' 'h4/thm/real/REAL_LE_LADD_'
0. 'coq/Coq_NArith_BinNat_N_gcd_diag' 'h4/thm/extreal/min_refl_'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_div2' 'h4/thm/extreal/extreal_exp_def_0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_le_mono' 'h4/thm/prim_rec/LESS_MONO_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_inj_wd' 'h4/thm/numeral/numeral_distrib_19'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_succ_l' 'h4/thm/complex/COMPLEX_MUL_LNEG_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_max_le_compat_r' 'h4/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_sub_le_add_r' 'h4/thm/real/REAL_LE_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_le_mono_l' 'h4/thm/arithmetic/ADD_MONO_LESS_EQ_'
0. 'coq/Coq_NArith_BinNat_N_div2_succ_double' 'h4/thm/numeral_bit/NUMERAL_iDIV2_2'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_succ_r' 'h4/thm/integer/INT_MUL_CALCULATE_2'
0. 'coq/Coq_MSets_MSetPositive_PositiveSet_E_bits_lt_antirefl' 'h4/thm/real/REAL_LT_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_le_mono_r' 'h4/thm/integer/INT_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_lt_mono_r' 'h4/thm/hreal/HRAT_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_nonneg_nonneg' 'h4/thm/binary_ieee/le2_'#@#variant
0. 'coq/Coq_Reals_ROrderedType_ROrder_le_refl' 'h4/thm/integer/INT_DIVIDES_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_neg_pos'#@#variant 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRL'#@#variant
0. 'coq/Coq_Lists_List_app_comm_cons' 'h4/thm/llist/LAPPEND_e1'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pow_lt_mono'#@#variant 'h4/thm/real/REAL_LT_MUL2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_id' 'h4/thm/real/REAL_MAX_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_nle_gt' 'h4/thm/HolSmt/r115_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_gt_cases' 'h4/thm/integer/INT_LTE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_trichotomy' 'h4/thm/rat/RAT_LES_TOTAL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_nle_gt' 'h4/thm/real/real_lte_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_trichotomy' 'h4/thm/integer/INT_LT_TOTAL_'
0. 'coq/Coq_ZArith_BinInt_Z_opp_min_distr' 'h4/thm/complex/COMPLEX_EXP_SUB_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_lt_lin'#@#variant 'h4/thm/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_nle_gt' 'h4/thm/real/real_lt_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_1_l'#@#variant 'h4/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_le_mono' 'h4/thm/divides/LT_PRIMES_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pred_div2_up' 'h4/thm/extreal/extreal_inv_def_e2'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_lteq' 'h4/thm/integer/INT_LE_LT_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_1_r'#@#variant 'h4/thm/arithmetic/ADD1_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lcm_divide_iff' 'h4/thm/arithmetic/MAX_LT_e1'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_lt_trans' 'h4/thm/arithmetic/LESS_EQ_LESS_TRANS_'
0. 'coq/Coq_NArith_BinNat_N_le_lteq' 'h4/thm/extreal/le_lt_'
0. 'coq/Coq_NArith_BinNat_N_neq_0_succ' 'h4/thm/quote/index_distinct_e2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_lt_mono' 'h4/thm/real/REAL_LE_NEG2_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_le_compat_r' 'h4/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_cancel_r' 'h4/thm/arithmetic/EQ_MONO_ADD_EQ_'
0. 'coq/Coq_ZArith_Znat_N2Z_id' 'h4/thm/ieee/num2roundmode_roundmode2num_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_id' 'h4/thm/binary_ieee/num2float_compare_float_compare2num_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_norm_pos' 'h4/thm/complex/MODU_CONJ_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_divide_mono_r' 'h4/thm/arithmetic/LESS_MONO_MULT_'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_lt_le' 'h4/thm/integer/INT_LT_GT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_leb_le' 'h4/thm/quote/index_lt_def_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pred_le_mono' 'h4/thm/bit/TWOEXP_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_1_l' 'h4/thm/extreal/mul_lzero_'
0. 'coq/Coq_QArith_QArith_base_inject_Z_opp' 'h4/thm/extreal/extreal_exp_def_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_1' 'h4/thm/real/ABS_0_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sub_le_mono_r' 'h4/thm/integer/TINT_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Arith_Gt_gt_asym' 'h4/thm/rat/RAT_LES_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_double'#@#variant 'h4/thm/transc/LN_INV_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_add_lt_sub_r' 'h4/thm/integer/INT_LT_ADD_SUB_'
0. 'coq/Coq_ZArith_BinInt_Zsucc_pred' 'h4/thm/transc/LN_EXP_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_lt_mono_l' 'h4/thm/real/REAL_LT_LADD_'
0. 'coq/Coq_PArith_BinPos_Pos_lt_nle' 'h4/thm/HolSmt/r115_'
0. 'coq/Coq_NArith_BinNat_N_ones_equiv'#@#variant 'h4/thm/numeral/numeral_pre_e4'
0. 'coq/Coq_PArith_BinPos_Pos_ge_le_iff' 'h4/thm/pred_set/COUNT_applied_'
0. 'coq/Coq_Arith_Plus_plus_le_compat_l' 'h4/thm/integer/TINT_LT_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_nonneg' 'h4/thm/prim_rec/LESS_0_'
0. 'coq/Coq_ZArith_Zeven_Zeven_plus_Zodd' 'h4/thm/util_prob/REAL_LT_LE_MUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_setbit_spec_prime'#@#variant 'h4/thm/real/real_div_'
0. 'coq/Coq_QArith_Qreduction_Qred_opp' 'h4/thm/numeral/numeral_distrib_14'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_asymm' 'h4/thm/real/REAL_LT_ANTISYM_'
0. 'coq/Coq_Bool_Bool_negb_orb' 'h4/thm/complex/COMPLEX_EXP_ADD_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lt_add_lt_sub_r' 'h4/thm/arithmetic/SUB_LEFT_GREATER_EQ_'
0. 'coq/Coq_ZArith_Znumtheory_Zdivide_Zabs_l' 'h4/thm/prim_rec/SUC_LESS_'
0. 'coq/Coq_PArith_BinPos_Pos_min_le_compat_r' 'h4/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pow_0_l' 'h4/thm/integer/INT_REM0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_cancel_r' 'h4/thm/arithmetic/EQ_MONO_ADD_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ge_le_iff' 'h4/thm/arithmetic/GREATER_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lor_diag' 'h4/thm/extreal/max_refl_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_nonneg' 'h4/thm/transc/ATN_0'#@#variant
0. 'coq/Coq_Reals_RIneq_Rge_ge_eq' 'h4/thm/real/REAL_LE_ANTISYM_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_le_compat_r' 'h4/thm/integer/TINT_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_lub' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_e2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_ngt' 'h4/thm/HolSmt/r115_'
0. 'coq/Coq_Numbers_Cyclic_ZModulo_ZModulo_Ptail_pos'#@#variant 'h4/thm/frac/FRAC_DNMPOS_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rge_or_gt' 'h4/thm/arithmetic/LESS_CASES_'
0. 'coq/Coq_ZArith_BinInt_Z_nle_gt' 'h4/thm/integer/INT_NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_lt_mono_r' 'h4/thm/integer/INT_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_xI_succ_xO' 'h4/thm/numeral_bit/NUMERAL_iDIV2_4'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_pred_l' 'h4/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_Arith_Factorial_fact_neq_0' 'h4/thm/intto/BIT1_nz_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_eq_0_r' 'h4/thm/intExtension/INT_NOT0_MUL_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rlt_not_le' 'h4/thm/integer/INT_LET_ANTISYM_'
0. 'coq/Coq_ZArith_BinInt_Zsucc_pred' 'h4/thm/bit/LOG2_TWOEXP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_inj_wd' 'h4/thm/extreal/eq_neg_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_lteq' 'h4/thm/integral/LE_LT_'
0. 'coq/Coq_NArith_BinNat_N_gcd_greatest' 'h4/thm/divides/DIVIDES_SUB_'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_lt_le' 'h4/thm/rat/RAT_LES_ANTISYM_'
0. 'coq/Coq_NArith_BinNat_N_negb_odd' 'h4/thm/util_prob/lg_pow_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_testbit_even_0'#@#variant 'h4/thm/toto/qk_numeralOrd_4'
0. 'coq/Coq_ZArith_BinInt_Z_lor_eq_0_iff' 'h4/thm/gcd/GCD_EQ_0_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_add_lt_sub_r' 'h4/thm/real/REAL_LT_ADD_SUB_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_le_mono_r' 'h4/thm/real/REAL_LE_SUB_CANCEL2_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_le_compat_r' 'h4/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_opp' 'h4/thm/toto/num_dt_size_def_1'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_OT_le_lteq' 'h4/thm/arithmetic/GREATER_OR_EQ_'
0. 'coq/Coq_Classes_SetoidClass_setoid_trans' 'h4/thm/llist/LFINITE_fromList_'
0. 'coq/Coq_QArith_Qcanon_Qcnot_lt_le' 'h4/thm/integer/INT_LET_TOTAL_'
0. 'coq/Coq_ZArith_Zorder_Zplus_lt_compat_l' 'h4/thm/real/REAL_LE_LADD_IMP_'
0. 'coq/Coq_ZArith_BinInt_Z_pred_le_mono' 'h4/thm/numeral/numeral_lte_e6'
0. 'coq/Coq_QArith_QArith_base_Qmult_1_l'#@#variant 'h4/thm/hrat/TRAT_MUL_LID_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_nlt_ge' 'h4/thm/HolSmt/r115_'
0. 'coq/Coq_ZArith_Znumtheory_rel_prime_div' 'h4/thm/arithmetic/LESS_EQ_LESS_TRANS_'
0. 'coq/Coq_QArith_QArith_base_Qeq_refl' 'h4/thm/realax/TREAL_EQ_REFL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_testbit_of_N' 'h4/thm/toto/qk_numOrd_def_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_1_r' 'h4/thm/real/REAL_SUB_RZERO_'
0. 'coq/Coq_Reals_R_sqrt_sqrt_Rsqr_abs' 'h4/thm/numeral_bit/NUMERAL_iDIV2_4'
0. 'coq/Coq_Arith_PeanoNat_Nat_eq_le_incl' 'h4/thm/HolSmt/t006_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_refl' 'h4/thm/extreal/le_refl_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_divide' 'h4/thm/realax/real_lt_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_lub_iff' 'h4/thm/arithmetic/MAX_LE_e1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftr_opp_r' 'h4/thm/complex/complex_div_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_0_r' 'h4/thm/arithmetic/PRE_SUB1_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_neq_0_succ' 'h4/thm/num/NOT_SUC_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_gt_lt_iff' 'h4/thm/integer/INT_GT_CALCULATE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_pos'#@#variant 'h4/thm/numeral/numeral_distrib_32'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_neq' 'h4/thm/realax/HREAL_LT_NE_'
0. 'coq/Coq_FSets_FSetPositive_PositiveSet_E_bits_lt_antirefl' 'h4/thm/string/string_lt_nonrefl_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sub_1_r'#@#variant 'h4/thm/arithmetic/ADD1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_cancel_l' 'h4/thm/arithmetic/EQ_ADD_LCANCEL_'
0. 'coq/Coq_PArith_BinPos_Pos_compare_xI_xI' 'h4/thm/toto/numeralOrd_6'
0. 'coq/Coq_NArith_BinNat_N_neq_succ_0' 'h4/thm/num/ZERO_REP_DEF_'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_lt_mono_r_iff'#@#variant 'h4/thm/arithmetic/EXP_BASE_LE_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_eq_cases' 'h4/thm/arithmetic/LESS_OR_EQ_'
0. 'coq/Coq_NArith_BinNat_N_mul_pos_pos' 'h4/thm/realax/TREAL_LT_MUL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_le_max_l' 'h4/thm/extreal/le_max1_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_succ' 'h4/thm/toto/num_dt_size_def_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_le_trans' 'h4/thm/rat/RAT_LES_LEQ_TRANS_'
0. 'coq/Coq_NArith_BinNat_N_nlt_ge' 'h4/thm/HolSmt/r096_'
0. 'coq/Coq_ZArith_BinInt_Z_lcm_eq_0' 'h4/thm/rat/RAT_NO_ZERODIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_0_l'#@#variant 'h4/thm/arithmetic/ZERO_DIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_sub_le_add_r' 'h4/thm/integer/INT_LE_SUB_LADD_'
0. 'coq/Coq_Reals_Rbasic_fun_Rmax_neg' 'h4/thm/rat/RAT_LES0_LES0_ADD_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lor_eq_0_iff' 'h4/thm/arithmetic/MULT_EQ_1_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_pred_l' 'h4/thm/arithmetic/MULT_e1'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_log2_2' 'h4/thm/util_prob/HALF_LT_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_1_r' 'h4/thm/integer/INT_SUB_REDUCE_0'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_irrefl' 'h4/thm/integer/INT_LT_REFL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pos_pred_succ' 'h4/thm/extreal/real_normal_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_1_mul_pos'#@#variant 'h4/thm/arithmetic/ONE_LT_MULT_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_lt_mono_pos_r'#@#variant 'h4/thm/logroot/EXP_LE_ISO_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_log2_1' 'h4/thm/util_prob/HALF_LT_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_nge' 'h4/thm/extreal/extreal_lt_def_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_cancel_r' 'h4/thm/integer/INT_EQ_RADD_'
0. 'coq/Coq_Init_Peano_le_n_S' 'h4/thm/hrat/TRAT_INV_WELLDEFINED_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_RRle_abs' 'h4/thm/real/REAL_POS_INFLATE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sub_min_distr_l' 'h4/thm/transc/RPOW_ADD_'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_iff' 'h4/thm/binary_ieee/rounding2num_11_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_irrefl' 'h4/thm/extreal/lt_refl_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_le_mono_pos_l'#@#variant 'h4/thm/logroot/LE_EXP_ISO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_1_l'#@#variant 'h4/thm/HolSmt/r128_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_le_ngt' 'h4/thm/real/REAL_NOT_LT_'
0. 'coq/Coq_NArith_BinNat_N_lt_eq_cases' 'h4/thm/rat/rat_leq_def_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_cancel_r' 'h4/thm/arithmetic/EQ_MONO_ADD_EQ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_add_lt_sub_r' 'h4/thm/integer/INT_LE_SUB_RADD_'
0. 'coq/Coq_ZArith_BinInt_Z_divide_Zpos' 'h4/thm/realax/real_lt_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lxor_m1_l'#@#variant 'h4/thm/util_prob/lg_def_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_neq' 'h4/thm/prim_rec/NOT_LESS_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_le_mono_l' 'h4/thm/rat/RAT_LES_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_eq_0' 'h4/thm/rat/RAT_NO_ZERODIV_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_1_r' 'h4/thm/HolSmt/r080_'
0. 'coq/Coq_ZArith_BinInt_Z_divide_mul_l' 'h4/thm/arithmetic/LESS_IMP_LESS_ADD_'
0. 'coq/Coq_QArith_Qround_Qfloor_comp' 'h4/thm/realax/TREAL_BIJ_WELLDEF_'#@#variant
0. 'coq/Coq_Sets_Powerset_facts_Union_associative' 'h4/thm/sptree/union_assoc_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_succ_le_mono' 'h4/thm/numeral/numeral_lte_3'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_le_mono' 'h4/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_succ_lt_mono' 'h4/thm/integerRing/int_rewrites_tLRRRLRRRR'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_le_max_l' 'h4/thm/extreal/le_max1_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_glb_lt_iff' 'h4/thm/arithmetic/MIN_LE_e1'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_one_neq_zero' 'h4/thm/ieee/roundmode_distinct_4'
0. 'coq/Coq_Reals_Rtrigo_calc_sqrt2_neq_0'#@#variant 'h4/thm/integer/INT_10_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lcm_1_r' 'h4/thm/integer/INT_ADD_RID_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_eq_0' 'h4/thm/rat/RAT_NO_ZERODIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_0_l' 'h4/thm/numeral/texp_help_def_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lcm_eq_0' 'h4/thm/arithmetic/MULT_EQ_0_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_glb_lt_iff' 'h4/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_ZArith_Zorder_Zmult_lt_reg_r'#@#variant 'h4/thm/float/REAL_LE_RCANCEL_IMP_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_succ_l' 'h4/thm/complex/COMPLEX_MUL_LNEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_refl' 'h4/thm/arithmetic/LESS_EQ_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_lt_iff' 'h4/thm/extreal/min_le_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_pos_le'#@#variant 'h4/thm/divides/DIVIDES_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_total' 'h4/thm/rat/RAT_LES_TOTAL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_add_diag_r' 'h4/thm/arithmetic/LESS_EQ_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_neq' 'h4/thm/real/REAL_LT_LE_'
0. 'coq/Coq_Reals_Rminmax_R_OT_lt_total' 'h4/thm/arithmetic/LESS_LESS_CASES_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_eq_0_r' 'h4/thm/extreal/add_not_infty_0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mod_1_r'#@#variant 'h4/thm/numeral/numeral_distrib_11'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_nonneg'#@#variant 'h4/thm/real/REAL_LT_MUL2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_le_incl' 'h4/thm/extreal/lt_imp_le_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_lt_mono_r' 'h4/thm/arithmetic/LESS_MONO_ADD_EQ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_inj_wd' 'h4/thm/integer/INT_EQ_NEG_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_lt_mono_l' 'h4/thm/rat/RAT_LES_LADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lcm_divide_iff' 'h4/thm/util_prob/MAX_LE_X_'
0. 'coq/Coq_Reals_Rsqrt_def_Rsqrt_positivity' 'h4/thm/realax/REAL_POS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pred_div2_up' 'h4/thm/quote/index_size_def_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_le_mono' 'h4/thm/numeral/numeral_distrib_22'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_lt_mono' 'h4/thm/arithmetic/LESS_EQ_MONO_'
0. 'coq/Coq_FSets_FSetPositive_PositiveSet_eq_refl' 'h4/thm/integer/INT_DIVIDES_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_lt_mono_r' 'h4/thm/hreal/HRAT_LT_RADD_'
0. 'coq/Coq_QArith_Qcanon_Q_apart_0_1'#@#variant 'h4/thm/toto/all_cpn_distinct_tRRL'
0. 'coq/Coq_NArith_BinNat_N_gt_lt_iff' 'h4/thm/arithmetic/GREATER_DEF_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_digits/0'#@#variant 'h4/thm/real/POW_2_LE1_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_lt_irrefl' 'h4/thm/integer/TINT_LT_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_setbit_spec_prime'#@#variant 'h4/thm/integer/int_sub_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_nonneg_l'#@#variant 'h4/thm/extreal/le_lmul_imp_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_pred_le_mono' 'h4/thm/transc/EXP_MONO_IMP_'
0. 'coq/Coq_PArith_BinPos_Pos_lt_eq_cases' 'h4/thm/real/REAL_LE_LT_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_iff' 'h4/thm/integer/INT_QUOT_CALCULATE_2'
0. 'coq/Coq_Reals_RIneq_Rle_antisym' 'h4/thm/rat/RAT_LEQ_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pred_succ' 'h4/thm/numpair/invtri_linverse_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_id' 'h4/thm/extreal/min_refl_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_lt_iff' 'h4/thm/arithmetic/MIN_LT_0'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_opp' 'h4/thm/toto/num_dt_size_def_e2'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qcopp_involutive' 'h4/thm/complex/CONJ_CONJ_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_pow' 'h4/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_PArith_BinPos_Pos_succ_not_1' 'h4/thm/num/ZERO_REP_DEF_'
0. 'coq/Coq_ZArith_BinInt_Z_min_lt_iff' 'h4/thm/arithmetic/MIN_LT_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_divide_iff' 'h4/thm/extreal/le_min_'
0. 'coq/Coq_MMaps_MMapPositive_PositiveMap_E_bits_lt_antirefl' 'h4/thm/integer/TINT_LT_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_add_pos_r'#@#variant 'h4/thm/arithmetic/X_LE_X_EXP_'#@#variant
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_double_plus_one' 'h4/thm/quote/index_size_def_1'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lcm_divide_iff' 'h4/thm/arithmetic/MAX_LT_e1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_nonneg' 'h4/thm/transc/ATN_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_1_r' 'h4/thm/integer/INT_ADD_RID_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lcm_eq_0' 'h4/thm/real/REAL_ENTIRE_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_le_succ_r' 'h4/thm/arithmetic/LE_e1'
0. 'coq/Coq_NArith_BinNat_N_le_sub_le_add_r' 'h4/thm/real/REAL_LT_ADD_SUB_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_le_compat_r' 'h4/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_xO'#@#variant 'h4/thm/DeepSyntax/deep_form_size_def_2'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_min_glb' 'h4/thm/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_le_incl' 'h4/thm/real/REAL_LT_IMP_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_succ' 'h4/thm/string/IMPLODE_EXPLODE_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lor_nonneg'#@#variant 'h4/thm/arithmetic/ODD_MULT_'
0. 'coq/Coq_Reals_ROrderedType_R_as_OT_le_lteq' 'h4/thm/extreal/le_lt_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_pow' 'h4/thm/arithmetic/ADD_e1'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_double_mul' 'h4/thm/complex/COMPLEX_NEG_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_Zpos' 'h4/thm/string/char_le_def_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_le_compat_l' 'h4/thm/integer/INT_LT_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_sub_diag' 'h4/thm/real/REAL_SUB_REFL_'#@#variant
0. 'coq/Coq_Reals_RIneq_Ropp_mult_distr_l_reverse' 'h4/thm/rat/RAT_AINV_LMUL_'
0. 'coq/Coq_NArith_BinNat_N_shiftl_shiftl' 'h4/thm/arithmetic/SUB_RIGHT_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_nlt_ge' 'h4/thm/rat/RAT_LEQ_LES_'
0. 'coq/Coq_Reals_RIneq_Rnot_le_lt' 'h4/thm/integer/INT_LET_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_ge_cases' 'h4/thm/integer/INT_LET_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_lxor_l' 'h4/thm/complex/COMPLEX_NEG_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lcm_1_l' 'h4/thm/integer/INT_ADD_CALCULATE_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_nonneg_nonneg' 'h4/thm/realax/REAL_LT_MUL_'
0. 'coq/Coq_Bool_Bool_diff_false_true' 'h4/thm/toto/all_cpn_distinct_tLRL'
0. 'coq/Coq_ZArith_Zmin_Zpos_min_1'#@#variant 'h4/thm/extreal/extreal_sub_def_5'
0. 'coq/Coq_Lists_List_length_zero_iff_nil' 'h4/thm/list/LENGTH_NIL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_refl' 'h4/thm/realax/TREAL_EQ_REFL_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_double_size_level' 'h4/thm/quote/index_size_def_1'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_pred_l' 'h4/thm/complex/COMPLEX_NEG_LDIV_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_add_cancel_l' 'h4/thm/complex/COMPLEX_EQ_LADD_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rle_lt_trans' 'h4/thm/integer/INT_LET_TRANS_'
0. 'coq/Coq_QArith_Qminmax_Q_max_lt_iff' 'h4/thm/arithmetic/MAX_LE_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_1' 'h4/thm/extreal/neg_0_'
0. 'coq/Coq_Reals_Rminmax_R_opp_min_distr' 'h4/thm/complex/COMPLEX_EXP_SUB_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_ge_le_iff' 'h4/thm/string/string_gt_def_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_inj_wd' 'h4/thm/numeral/numeral_eq_e7'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_quot2' 'h4/thm/extreal/extreal_exp_def_0'
0. 'coq/Coq_Reals_Rpower_arcsinh_lt' 'h4/thm/hrat/TRAT_INV_WELLDEFINED_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_inj_wd' 'h4/thm/integral/EQ_SUC_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_1_r' 'h4/thm/rat/RAT_ADD_RID_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_ngt' 'h4/thm/arithmetic/NOT_LESS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_pred_l' 'h4/thm/numpair/nsnd_le_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_land_diag' 'h4/thm/gcd/GCD_REF_'
0. 'coq/Coq_PArith_BinPos_Pos_gcd_divide_l' 'h4/thm/extreal/min_le1_'
0. 'coq/Coq_ZArith_BinInt_Z_mod_1_l'#@#variant 'h4/thm/arithmetic/ONE_MOD_'#@#variant
0. 'coq/Coq_Init_Peano_O_S' 'h4/thm/intto/BIT2_nz_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_nonneg' 'h4/thm/transc/ATN_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_div_0_l' 'h4/thm/integer/INT_MOD0_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_le_mono_l' 'h4/thm/arithmetic/LESS_MONO_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_quot_1_r' 'h4/thm/real/REAL_SUB_RZERO_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_nonpos_nonpos'#@#variant 'h4/thm/extreal/le_mul_neg_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_glb_lt_iff' 'h4/thm/extreal/le_min_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_lt_mono_l' 'h4/thm/hreal/HRAT_LT_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_factor_r' 'h4/thm/real/REAL_LE_MAX2_'
0. 'coq/Coq_ZArith_Zdiv_div_Zdiv' 'h4/thm/integer/INT_REM_CALCULATE_0'
0. 'coq/Coq_Reals_RIneq_Rplus_ge_compat_r' 'h4/thm/integer/TINT_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_divide_lcm_r' 'h4/thm/hreal/HRAT_LT_ADDR_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div2_succ_double' 'h4/thm/numeral_bit/NUMERAL_iDIV2_2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_lub_lt' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_e2'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_le_compat_l' 'h4/thm/real/REAL_LE_LADD_IMP_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_cancel_r' 'h4/thm/arithmetic/EQ_ADD_RCANCEL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_lt_iff' 'h4/thm/util_prob/X_LE_MAX_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_lub_lt_iff' 'h4/thm/util_prob/MAX_LE_X_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_lt' 'h4/thm/realax/real_lt_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_double_spec'#@#variant 'h4/thm/real/REAL_NEG_MINUS1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_rem_le'#@#variant 'h4/thm/arithmetic/DIV_LESS_'#@#variant
0. 'coq/Coq_ZArith_Zdiv_Zdiv_lt_upper_bound'#@#variant 'h4/thm/real/REAL_LE_LDIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_trichotomy' 'h4/thm/rat/RAT_LES_TOTAL_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_total' 'h4/thm/integer/INT_LT_TOTAL_'
0. 'coq/Coq_NArith_Ndist_ni_le_min_1' 'h4/thm/extreal/min_le1_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_pred_succ' 'h4/thm/transc/ATN_TAN_'
0. 'coq/Coq_PArith_BinPos_Pos_le_1_l' 'h4/thm/extreal/le_infty_tLL'
0. 'coq/Coq_NArith_BinNat_N_add_cancel_l' 'h4/thm/arithmetic/EQ_ADD_LCANCEL_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_pred_l' 'h4/thm/numpair/nfst_le_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div_1_r' 'h4/thm/real/REAL_SUB_RZERO_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_asymm' 'h4/thm/integer/INT_LT_ANTISYM_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_l2i_i2l'#@#variant 'h4/thm/toto/num2cpn_cpn2num_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_assoc' 'h4/thm/hrat/TRAT_ADD_ASSOC_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_lt_mono' 'h4/thm/arithmetic/LESS_EQ_MONO_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_lt_mono_l' 'h4/thm/arithmetic/ADD_MONO_LESS_EQ_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_nge' 'h4/thm/HolSmt/r115_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_refl' 'h4/thm/hrat/TRAT_EQ_REFL_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_norm_pos' 'h4/thm/complex/MODU_NEG_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_ge_cases' 'h4/thm/arithmetic/LESS_CASES_'
0. 'coq/Coq_ZArith_Znumtheory_Zdivide_Zgcd' 'h4/thm/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_add_pos_r'#@#variant 'h4/thm/extreal/le_addr_imp_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_ltb_lt' 'h4/thm/quote/index_lt_def_'
0. 'coq/Coq_QArith_Qcanon_Qclt_not_eq' 'h4/thm/prim_rec/LESS_NOT_EQ_'
0. 'coq/Coq_ZArith_BinInt_Z_add_succ_l' 'h4/thm/arithmetic/ADD_e1'
0. 'coq/Coq_NArith_BinNat_N_lt_add_pos_r'#@#variant 'h4/thm/arithmetic/X_LE_X_EXP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_double_inj' 'h4/thm/divides/PRIMES_11_'
0. 'coq/Coq_Reals_Rtrigo_def_sin_no_R0' 'h4/thm/extreal/extreal_not_infty_e1'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pred_le_mono' 'h4/thm/real/REAL_POS_MONO_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_iff' 'h4/thm/string_num/s2n_11_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_1' 'h4/thm/transc/TAN_0_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_sub_le_add_r' 'h4/thm/integer/INT_LT_ADD_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ldiff_m1_l'#@#variant 'h4/thm/numeral/numeral_texp_help_0'
0. 'coq/Coq_NArith_BinNat_N_lt_1_mul_pos'#@#variant 'h4/thm/arithmetic/ONE_LT_MULT_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_lt_mono_r_iff' 'h4/thm/rat/RAT_LES_LMUL_POS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_ngt' 'h4/thm/real/real_lte_'
0. 'coq/Coq_Arith_Gt_gt_irrefl' 'h4/thm/integer/TINT_LT_REFL_'#@#variant
0. 'coq/Coq_Bool_Bool_negb_involutive_reverse' 'h4/thm/integerRing/int_rewrites_tLRRRRRRRRRRRRL'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_lt_mono_l' 'h4/thm/arithmetic/LT_ADD_LCANCEL_'
0. 'coq/Coq_NArith_BinNat_N_add_1_l' 'h4/thm/extreal/sub_lzero_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_lt_mono_r_iff'#@#variant 'h4/thm/real/REAL_LE_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_land_nonneg'#@#variant 'h4/thm/arithmetic/EVEN_MULT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div_1_r' 'h4/thm/integer/INT_SUB_REDUCE_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_neq_0_lt_0' 'h4/thm/arithmetic/NOT_ZERO_LT_ZERO_'
0. 'coq/Coq_Arith_Le_le_Sn_le' 'h4/thm/prim_rec/SUC_LESS_'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_lt_mono_r'#@#variant 'h4/thm/extreal/le_lmul_imp_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_0_mul_prime'#@#variant 'h4/thm/arithmetic/ODD_MULT_'
0. 'coq/Coq_ZArith_BinInt_Z_setbit_spec_prime'#@#variant 'h4/thm/complex/complex_div_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_lcm_r' 'h4/thm/integer/INT_DIVIDES_MUL_e1'
0. 'coq/Coq_Reals_Rtrigo_calc_deg_rad' 'h4/thm/bit/LOG2_TWOEXP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_neq' 'h4/thm/integer/INT_LT_LE_'
0. 'coq/Coq_Bool_Bool_negb_xorb_r' 'h4/thm/frac/FRAC_AINV_RMUL_'
0. 'coq/Coq_Classes_DecidableClass_Decidable_eq_nat_obligation_1' 'h4/thm/quote/compare_index_equal_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_lteq' 'h4/thm/integer/INT_LE_CALCULATE_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_ge_le_iff' 'h4/thm/integer/int_gt_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_le_mono_r' 'h4/thm/real/REAL_LE_SUB_CANCEL2_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sub_max_distr_l' 'h4/thm/arithmetic/EXP_ADD_'
0. 'coq/Coq_Reals_Rpower_arcsinh_le' 'h4/thm/hrat/TRAT_INV_WELLDEFINED_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_le_mono' 'h4/thm/transc/EXP_MONO_IMP_'
0. 'coq/Coq_Bool_Bool_diff_false_true' 'h4/thm/toto/cpn_distinct_e2'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_clearbit_spec_prime'#@#variant 'h4/thm/integer/INT_SUB_CALCULATE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lnot_0_l' 'h4/thm/rat/RAT_SUB_LID_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_invc' 'h4/thm/rat/RAT_AINV_CALCULATE_'
0. 'coq/Coq_ZArith_BinInt_Z_succ_lt_mono' 'h4/thm/integerRing/int_rewrites_tLRRRRLRRR'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_le_compat_l' 'h4/thm/extreal/le_ladd_imp_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_odd_1' 'h4/thm/float/FLOAT_INFINITIES_SIGNED_0'#@#variant
0. 'coq/Coq_Reals_Rtrigo_calc_rad_deg' 'h4/thm/numpair/invtri_linverse_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_Odd_succ' 'h4/thm/numeral/numeral_distrib_21'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_inv_normc' 'h4/thm/DeepSyntax/deep_form_size_def_2'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lcm_eq_0' 'h4/thm/arithmetic/MULT_EQ_0_'
0. 'coq/Coq_ZArith_BinInt_Z_pred_inj_wd' 'h4/thm/real/REAL_INV_INJ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_pos'#@#variant 'h4/thm/transc/EXP_LT_1_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_nle_gt' 'h4/thm/real/real_lt_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftr_shiftr' 'h4/thm/arithmetic/EXP_EXP_MULT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_sub_le_add_r' 'h4/thm/real/REAL_LT_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_lt_mono_pos_r'#@#variant 'h4/thm/logroot/EXP_LT_ISO_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_cancel_r' 'h4/thm/arithmetic/EQ_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_mul_r' 'h4/thm/frac/FRAC_SUB_ADD_'
0. 'coq/Coq_ZArith_BinInt_Z_add_lt_mono_r' 'h4/thm/arithmetic/LE_ADD_RCANCEL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_cancel_l' 'h4/thm/rat/RAT_EQ_LADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_lt_mono_r' 'h4/thm/arithmetic/LESS_MONO_ADD_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_add_r' 'h4/thm/divides/DIVIDES_ADD_1_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_le_lin' 'h4/thm/numpair/nfst_le_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_Zpos' 'h4/thm/integer/INT_LE_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_is_pos'#@#variant 'h4/thm/real/REAL_POS_'#@#variant
0. 'coq/Coq_QArith_Qround_Qfloor_Z' 'h4/thm/toto/cpn_BIJ_0'
0. 'coq/Coq_Strings_Ascii_ascii_nat_embedding' 'h4/thm/pred_set/pair_to_num_inv_0'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_eq_0_r' 'h4/thm/intExtension/INT_NOT0_MUL_'#@#variant
0. 'coq/Coq_Reals_Rtrigo_calc_sin_lb_ge_0'#@#variant 'h4/thm/transc/SIN_POS_PI2_LE_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_nle' 'h4/thm/extreal/extreal_lt_def_'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_iff' 'h4/thm/binary_ieee/float_compare_EQ_float_compare_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_le_mono_l' 'h4/thm/arithmetic/ADD_MONO_LESS_EQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_eq_mul_0_r' 'h4/thm/extreal/add_not_infty_0'
0. 'coq/Coq_Bool_Bool_xorb_true_l' 'h4/thm/HolSmt/r129_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_le' 'h4/thm/realax/real_lt_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_succ_le_mono' 'h4/thm/numeral/numeral_lte_3'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lcm_1_l' 'h4/thm/HolSmt/r128_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_simpl_r' 'h4/thm/real/REAL_ADD_SUB_ALT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_lt_mono_r' 'h4/thm/hreal/HRAT_LT_RADD_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_le_mono_pos_l'#@#variant 'h4/thm/integer/INT_LE_MONO_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_pred_succ' 'h4/thm/transc/ATN_TAN_'
0. 'coq/Coq_ZArith_BinInt_Zpos_eq_iff' 'h4/thm/integer/INT_REM_CALCULATE_3'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_nonneg' 'h4/thm/arithmetic/FACT_LESS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_compare_lt_iff' 'h4/thm/quote/index_lt_def_'
0. 'coq/Coq_NArith_BinNat_N_max_r' 'h4/thm/real/REAL_MAX_ALT_0'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_le_max_l' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_0'
0. 'coq/Coq_ZArith_Znat_Zabs2N_id' 'h4/thm/patricia_casts/num_to_string_string_to_num_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_le_mono_r' 'h4/thm/arithmetic/LESS_MONO_ADD_EQ_'
0. 'coq/Coq_ZArith_BinInt_Z_lnot_involutive' 'h4/thm/complex/COMPLEX_NEGNEG_'#@#variant
0. 'coq/Coq_QArith_Qreduction_Qred_compare' 'h4/thm/quote/index_compare_def_7'
0. 'coq/Coq_ZArith_BinInt_Z_pow_le_mono_r'#@#variant 'h4/thm/real/REAL_LT_LMUL_IMP_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lcm_1_l'#@#variant 'h4/thm/rat/RAT_SUB_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_quot_0_l' 'h4/thm/integer/INT_MOD0_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_2' 'h4/thm/real/REAL_THIRDS_BETWEEN_tLRL'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_succ_l' 'h4/thm/integer/INT_NEG_LMUL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_nonneg' 'h4/thm/transc/ATN_0'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_1' 'h4/thm/real/REAL_THIRDS_BETWEEN_tLRL'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pow_lt_mono_r_iff'#@#variant 'h4/thm/int_arith/lt_justify_multiplication_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_pred_l' 'h4/thm/arithmetic/PRE_SUB_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_diag' 'h4/thm/arithmetic/ABS_DIFF_EQS_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_abs' 'h4/thm/toto/num_dt_size_def_1'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_quot_1_r' 'h4/thm/integer/INT_ADD_CALCULATE_1'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_1_l'#@#variant 'h4/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_Arith_Lt_lt_n_S' 'h4/thm/hrat/TRAT_INV_WELLDEFINED_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_lt_mono_r' 'h4/thm/arithmetic/LESS_MONO_ADD_EQ_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_antisymm' 'h4/thm/arithmetic/LESS_EQUAL_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ge_le_iff' 'h4/thm/rat/rat_geq_def_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_0_l' 'h4/thm/arithmetic/ZERO_LESS_EQ_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_1_l' 'h4/thm/extreal/le_infty_tLL'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_eq_add_0' 'h4/thm/arithmetic/ADD_EQ_0_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_lt_mono_r' 'h4/thm/arithmetic/LE_ADD_RCANCEL_'
0. 'coq/Coq_ZArith_Zquot_Zquot_opp_r' 'h4/thm/extreal/mul_rneg_'
0. 'coq/Coq_ZArith_Zpower_two_power_nat_equiv'#@#variant 'h4/thm/numRing/num_ring_thms_e17'#@#variant
0. 'coq/Coq_Reals_Rfunctions_RPow_abs' 'h4/thm/float/REAL_ABS_POW_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_succ_le_mono' 'h4/thm/transc/EXP_MONO_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_refl' 'h4/thm/extreal/le_refl_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_pred_l' 'h4/thm/rat/RAT_AINV_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_eq_opp_r' 'h4/thm/complex/COMPLEX_NEG_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_nle' 'h4/thm/arithmetic/NOT_LESS_EQUAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_1_r' 'h4/thm/real/REAL_ADD_RID_'
0. 'coq/Coq_ZArith_BinInt_Z_ones_equiv'#@#variant 'h4/thm/numeral/numeral_suc_1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_Even_succ' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRL'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pred_le_mono' 'h4/thm/divides/LT_PRIMES_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_succ'#@#variant 'h4/thm/integer/tint_of_num_e1'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_of_Q' 'h4/thm/extreal/real_normal_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_1' 'h4/thm/extreal/neg_0_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_refl' 'h4/thm/hrat/TRAT_EQ_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_add_cancel_r' 'h4/thm/divides/DIVIDES_ADD_2_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_nle_gt' 'h4/thm/rat/RAT_LEQ_LES_'
0. 'coq/Coq_NArith_BinNat_N_lt_asymm' 'h4/thm/rat/RAT_LES_ANTISYM_'
0. 'coq/Coq_Reals_Raxioms_Rmult_lt_compat_l'#@#variant 'h4/thm/arithmetic/EXP_BASE_LEQ_MONO_IMP_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_lor' 'h4/thm/complex/COMPLEX_EXP_ADD_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lt_1_mul_pos'#@#variant 'h4/thm/extreal/let_mul_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lnot_ones' 'h4/thm/hrat/HRAT_MUL_LINV_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_lt_iff' 'h4/thm/arithmetic/MAX_LT_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_nonneg'#@#variant 'h4/thm/real/REAL_NEG_GE0_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_lub_lt_iff' 'h4/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_nlt' 'h4/thm/HolSmt/r115_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_eq_le_incl' 'h4/thm/integer/INT_EQ_IMP_LE_'
0. 'coq/Coq_ZArith_BinInt_Z_succ_le_mono' 'h4/thm/integerRing/int_rewrites_tRRRRRRLRRRR'
0. 'coq/Coq_NArith_BinNat_N_div2_succ_double' 'h4/thm/numeral/DIV2_BIT1_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pred_div2_up' 'h4/thm/DeepSyntax/deep_form_size_def_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_lt_mono_pos_r' 'h4/thm/logroot/EXP_LT_ISO_'
0. 'coq/Coq_NArith_BinNat_N_square_spec' 'h4/thm/arithmetic/TIMES2_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ldiff_land' 'h4/thm/frac/frac_sub_def_'
0. 'coq/Coq_PArith_BinPos_Pos_le_nlt' 'h4/thm/arithmetic/NOT_LESS_EQUAL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_factor_l' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_eq_opp_l' 'h4/thm/complex/COMPLEX_NEG_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_add_lt_sub_r' 'h4/thm/real/REAL_LT_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div_1_r' 'h4/thm/rat/RAT_ADD_RID_'
0. 'coq/Coq_ZArith_BinInt_Z_ldiff_m1_l'#@#variant 'h4/thm/integer/INT_SUB_REDUCE_1'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lor_diag' 'h4/thm/arithmetic/MAX_IDEM_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_ge_cases' 'h4/thm/arithmetic/LESS_EQ_CASES_'
0. 'coq/Coq_ZArith_Zdiv_Zdiv_1_r' 'h4/thm/integer/INT_ADD_RID_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_max_l' 'h4/thm/arithmetic/LESS_EQ_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_lt_mono_pos_l'#@#variant 'h4/thm/arithmetic/EXP_BASE_LE_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_lt_mono_r' 'h4/thm/arithmetic/LT_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_succ_l' 'h4/thm/rat/RAT_AINV_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_sub_le_add_r' 'h4/thm/real/REAL_LT_ADD_SUB_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_opp_opp' 'h4/thm/extreal/neg_mul2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_asymm' 'h4/thm/arithmetic/LESS_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_eq_cases' 'h4/thm/arithmetic/LESS_OR_EQ_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pow_lt_mono_r_iff'#@#variant 'h4/thm/real/REAL_LT_LMUL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_1_l' 'h4/thm/HolSmt/r233_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_gt_cases' 'h4/thm/real/REAL_LET_TOTAL_'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_iff' 'h4/thm/DeepSyntax/deep_form_11_4'
0. 'coq/Coq_PArith_Pnat_Nat2Pos_inj_sub' 'h4/thm/integer/INT_QUOT_'
0. 'coq/Coq_Reals_Raxioms_Rinv_l' 'h4/thm/rat/RAT_MUL_LINV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_succ_pred_double' 'h4/thm/numeral/numeral_suc_1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_0_sub'#@#variant 'h4/thm/real/REAL_SUB_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lxor_m1_l'#@#variant 'h4/thm/extreal/sub_lzero_'#@#variant
0. 'coq/Coq_Bool_Bool_negb_xorb_r' 'h4/thm/arithmetic/ADD_CLAUSES_e3'
0. 'coq/Coq_NArith_BinNat_N_succ_lt_mono' 'h4/thm/numpair/tri_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_0_1' 'h4/thm/prim_rec/LESS_0_0_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_pos_nonneg'#@#variant 'h4/thm/util_prob/REAL_LE_LT_MUL_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_1_l'#@#variant 'h4/thm/numeral/numeral_texp_help_0'
0. 'coq/Coq_ZArith_Zorder_Zgt_succ' 'h4/thm/numpair/invtri_le_'
0. 'coq/Coq_NArith_BinNat_N_log2_up_double'#@#variant 'h4/thm/transc/LN_INV_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_sub_diag' 'h4/thm/arithmetic/ABS_DIFF_EQS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_inj_wd' 'h4/thm/complex/COMPLEX_EQ_NEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_neq' 'h4/thm/extreal/lt_le_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_nonneg' 'h4/thm/arithmetic/FACT_LESS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_inj_wd' 'h4/thm/complex/CONJ_EQ2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_compare_lt_iff' 'h4/thm/quote/index_lt_def_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_lxor_r' 'h4/thm/complex/COMPLEX_NEG_RMUL_'#@#variant
0. 'coq/Coq_QArith_QArith_base_inject_Z_opp' 'h4/thm/extreal/extreal_abs_def_0'
0. 'coq/Coq_NArith_BinNat_N_div2_double' 'h4/thm/numRing/num_rewrites_tLLRRRR'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_1' 'h4/thm/real/ABS_0_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_add_lt_sub_r' 'h4/thm/integer/INT_LT_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_setbit_spec_prime'#@#variant 'h4/thm/real/real_sub_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_succ_inj_wd' 'h4/thm/toto/num_dt_11_e1'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_negb_odd' 'h4/thm/frac/frac_sgn_def_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_succ_lt_mono' 'h4/thm/numeral/numeral_lte_3'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_mul_r' 'h4/thm/arithmetic/SUB_RIGHT_SUB_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_irrefl' 'h4/thm/realax/REAL_LT_REFL_'
0. 'coq/Coq_Reals_Ratan_atan_right_inv' 'h4/thm/prim_rec/PRE_e1'
0. 'coq/Coq_Init_Datatypes_CompOpp_involutive' 'h4/thm/integer/INT_MUL_CALCULATE_e3'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pred_le_mono' 'h4/thm/divides/LT_PRIMES_'
0. 'coq/Coq_Arith_Even_odd_plus_r' 'h4/thm/integer/INT_LET_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_lt_mono_l' 'h4/thm/integer/LT_LADD_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_iff' 'h4/thm/integer/INT_INJ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_1_r' 'h4/thm/extreal/mul_rzero_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_pos'#@#variant 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Reals_RIneq_double_var'#@#variant 'h4/thm/real/REAL_HALF_DOUBLE_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sub_succ_l' 'h4/thm/arithmetic/PRE_SUB_'
0. 'coq/Coq_ZArith_BinInt_Z_le_sub_le_add_l' 'h4/thm/rat/RAT_LSUB_LES_'
0. 'coq/Coq_ZArith_BinInt_Z_clearbit_spec_prime'#@#variant 'h4/thm/extreal/extreal_sub_add_'
0. 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_gt_lt_iff' 'h4/thm/pred_set/COUNT_applied_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_succ_l' 'h4/thm/arithmetic/LESS_EQ_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_le_mono_r' 'h4/thm/integer/INT_LT_RADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_land_diag' 'h4/thm/gcd/GCD_REF_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_lt_mono_r_iff'#@#variant 'h4/thm/transc/RPOW_LE_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_pred_succ' 'h4/thm/prim_rec/PRE_e1'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_le_mono' 'h4/thm/numeral/numeral_distrib_22'
0. 'coq/Coq_NArith_BinNat_N_square_spec' 'h4/thm/numeral/iDUB_'
0. 'coq/Coq_ZArith_Zorder_Zplus_le_compat_r' 'h4/thm/hrat/TRAT_MUL_WELLDEFINED_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_ldiff_ldiff_l' 'h4/thm/arithmetic/SUB_RIGHT_SUB_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_ge_le_iff' 'h4/thm/real/real_ge_'
0. 'coq/Coq_ZArith_Zquot_Zrem_opp_l' 'h4/thm/integer/INT_NEG_LMUL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_nge' 'h4/thm/real/real_lt_'
0. 'coq/Coq_Reals_Rtrigo1_PI_neq0' 'h4/thm/integer/INT_10_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_add_lt_sub_r' 'h4/thm/real/REAL_LE_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_le_mono' 'h4/thm/transc/EXP_MONO_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_le_mono_nonneg_r'#@#variant 'h4/thm/arithmetic/DIV_LE_MONOTONE_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_le_0_l'#@#variant 'h4/thm/arithmetic/ZERO_LESS_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_inj_wd' 'h4/thm/quote/index_11_e1'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_lt_iff' 'h4/thm/arithmetic/MIN_LE_0'
0. 'coq/Coq_ZArith_Znat_Zabs_N_nat' 'h4/thm/extreal/extreal_of_num_def_'
0. 'coq/Coq_ZArith_BinInt_Z_sgn_sgn' 'h4/thm/real/ABS_ABS_'
0. 'coq/Coq_Reals_Rminmax_R_OT_lt_total' 'h4/thm/hreal/HREAL_LT_TOTAL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lxor_m1_l'#@#variant 'h4/thm/integer/INT_SUB_REDUCE_1'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zsucc_lt_compat' 'h4/thm/real/REAL_POS_MONO_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_lt_trans' 'h4/thm/rat/RAT_LEQ_LES_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_neq_0_succ' 'h4/thm/intto/BIT1_nz_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_pos_l'#@#variant 'h4/thm/transc/RPOW_LE_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qplus_le_l' 'h4/thm/arithmetic/LESS_MONO_ADD_EQ_'
0. 'coq/Coq_Reals_RIneq_Rge_gt_trans' 'h4/thm/real/REAL_LET_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_le_compat_r' 'h4/thm/extreal/le_radd_imp_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_succ_r' 'h4/thm/float/LT_SUC_LE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_le_mono_pos_l'#@#variant 'h4/thm/int_arith/lt_justify_multiplication_'#@#variant
0. 'coq/Coq_Reals_Ratan_atan_right_inv' 'h4/thm/numeral/DIV2_BIT1_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_lt_mono_r' 'h4/thm/arithmetic/LE_ADD_RCANCEL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_sub_le_add_r' 'h4/thm/arithmetic/SUB_LEFT_GREATER_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_sub_distr' 'h4/thm/complex/COMPLEX_SUB_LNEG_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_le_mono_r_iff'#@#variant 'h4/thm/int_arith/lt_justify_multiplication_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_move_r' 'h4/thm/real/REAL_EQ_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sub_1_r'#@#variant 'h4/thm/arithmetic/ADD1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_le_iff' 'h4/thm/util_prob/X_LE_MAX_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_le_mono_r' 'h4/thm/hreal/HRAT_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_succ' 'h4/thm/numeral_bit/numeral_ilog2_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_1' 'h4/thm/transc/SQRT_0_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pred_le_mono' 'h4/thm/hrat/TRAT_INV_WELLDEFINED_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_succ' 'h4/thm/quote/index_size_def_1'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_divide' 'h4/thm/integer/INT_LE_'
0. 'coq/Coq_Reals_Rfunctions_R_dist_tri' 'h4/thm/arithmetic/ABS_DIFF_TRIANGLE_'
0. 'coq/Coq_ZArith_BinInt_Z_le_lteq' 'h4/thm/integral/LE_LT_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_pos'#@#variant 'h4/thm/real/REAL_LT_INV_EQ_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_le_lin'#@#variant 'h4/thm/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_nonneg' 'h4/thm/transc/ATN_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_add_diag_r' 'h4/thm/gcd/GCD_ADD_R_THM_e1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_succ_lt_mono' 'h4/thm/numeral/numeral_lt_4'
0. 'coq/Coq_Reals_ROrderedType_ROrder_le_refl' 'h4/thm/divides/DIVIDES_REFL_'
0. 'coq/Coq_ZArith_Zorder_Zplus_gt_compat_r' 'h4/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_ZArith_Zdiv_mod_Zmod' 'h4/thm/integer/INT_QUOT_CALCULATE_0'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_asymm' 'h4/thm/integer/INT_LT_GT_'
0. 'coq/Coq_ZArith_Zlogarithm_log_sup_correct1'#@#variant 'h4/thm/realax/REAL_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_succ_l' 'h4/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_Zpos' 'h4/thm/string/char_le_def_'
0. 'coq/Coq_ZArith_BinInt_Z_divide_lcm_l' 'h4/thm/hreal/HRAT_LT_ADDL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_le_iff' 'h4/thm/real/REAL_MIN_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_rem_opp_l_prime' 'h4/thm/arithmetic/PRE_SUB_'
0. 'coq/Coq_Reals_RIneq_Rmult_le_reg_r'#@#variant 'h4/thm/float/REAL_LE_RCANCEL_IMP_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_gt_lt_iff' 'h4/thm/string/string_ge_def_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftl_mul_pow2'#@#variant 'h4/thm/integer/INT_SUB_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_nle' 'h4/thm/integer/INT_NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_divide_l' 'h4/thm/real/REAL_MIN_LE1_'
0. 'coq/Coq_ZArith_Zorder_Zsucc_gt_compat' 'h4/thm/bit/TWOEXP_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftl_mul_pow2'#@#variant 'h4/thm/HolSmt/r131_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_pow_succ_r' 'h4/thm/arithmetic/EXP_e1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_eq_mul_0_r' 'h4/thm/extreal/add_not_infty_e1'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_le_mono_l' 'h4/thm/arithmetic/LT_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_ge_cases' 'h4/thm/integer/INT_LET_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_lxor_l' 'h4/thm/complex/COMPLEX_NEG_LMUL_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_le_ngt' 'h4/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_PArith_BinPos_Pos_max_lub_iff' 'h4/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_square_spec' 'h4/thm/numeral/iSQR_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_iff' 'h4/thm/extreal/extreal_11_'
0. 'coq/Coq_QArith_QArith_base_Zlt_Qlt' 'h4/thm/string/char_le_def_'
0. 'coq/Coq_NArith_BinNat_N_shiftl_1_l'#@#variant 'h4/thm/rat/RAT_SUB_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_not_add_l' 'h4/thm/realax/HREAL_LT_ADDR_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_add_lt_sub_r' 'h4/thm/rat/RAT_RSUB_LES_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_divide_lcm_l' 'h4/thm/integer/INT_DIVIDES_MUL_0'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_succ_lt_mono' 'h4/thm/numpair/tri_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_succ_r' 'h4/thm/frac/FRAC_AINV_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftl_opp_r' 'h4/thm/real/REAL_SUB_RNEG_'
0. 'coq/Coq_ZArith_Zeven_Zeven_Sn' 'h4/thm/transc/EXP_LT_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_succ_diag_r' 'h4/thm/real/ABS_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mod_mul' 'h4/thm/integer/INT_REM_COMMON_FACTOR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_succ_l' 'h4/thm/complex/COMPLEX_NEG_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_inj_wd' 'h4/thm/numeral/numeral_eq_e7'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_nonneg' 'h4/thm/divides/ZERO_LT_PRIMES_'
0. 'coq/Coq_PArith_BinPos_Pos_max_lub_lt_iff' 'h4/thm/util_prob/MAX_LE_X_'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_le_mono_r_iff'#@#variant 'h4/thm/int_arith/lt_justify_multiplication_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_le_compat_r' 'h4/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Reals_Rpower_exp_increasing' 'h4/thm/divides/LT_PRIMES_'
0. 'coq/Coq_ZArith_BinInt_Z_gt_lt_iff' 'h4/thm/real/real_ge_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_div_0_l' 'h4/thm/integer/INT_DIV_0_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_max_lt_iff' 'h4/thm/real/REAL_LE_MAX_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_nonneg_nonneg' 'h4/thm/realax/REAL_LT_MUL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_cancel_r' 'h4/thm/complex/COMPLEX_EQ_RADD_'#@#variant
0. 'coq/Coq_Reals_Rtrigo_calc_Rlt_sqrt3_0'#@#variant 'h4/thm/real/REAL_HALF_BETWEEN_1'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_Even_succ' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRL'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_1_l'#@#variant 'h4/thm/transc/ONE_RPOW_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_total' 'h4/thm/arithmetic/LESS_LESS_CASES_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_0_l' 'h4/thm/rat/RAT_SUB_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_le_mono' 'h4/thm/transc/EXP_MONO_IMP_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_min_l' 'h4/thm/extreal/min_le1_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_0_l' 'h4/thm/integer/INT_DIVIDES_1_0'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_succ_l' 'h4/thm/arithmetic/MULT_e1'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_cancel_l' 'h4/thm/complex/COMPLEX_EQ_LADD_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rplus_le_reg_r' 'h4/thm/arithmetic/LESS_MONO_ADD_INV_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_inj_wd' 'h4/thm/numpair/tri_11_'
0. 'coq/Coq_QArith_QArith_base_Qplus_lt_r' 'h4/thm/arithmetic/ADD_MONO_LESS_EQ_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigN_BigZ_spec_Z_of_N' 'h4/thm/rat/RAT_SGN_CALCULATE_'
0. 'coq/Coq_ZArith_Znat_positive_nat_Z' 'h4/thm/hrat/hrat_sucint_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_succ_lt_mono' 'h4/thm/numeral/numeral_lt_4'
0. 'coq/Coq_Arith_Plus_plus_lt_compat_r' 'h4/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_ZArith_Znat_Zabs2N_id' 'h4/thm/string/char_BIJ_0'
0. 'coq/Coq_ZArith_BinInt_Z_opp_nonneg_nonpos'#@#variant 'h4/thm/integer/INT_NEG_GE0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_le_mono_l' 'h4/thm/arithmetic/LE_ADD_LCANCEL_'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_minus_one_neq_zero'#@#variant 'h4/thm/toto/cpn_distinct_e2'
0. 'coq/Coq_NArith_BinNat_N_add_pos_pos' 'h4/thm/realax/REAL_LT_MUL_'
0. 'coq/Coq_Reals_Rprod_le_n_2n'#@#variant 'h4/thm/real/REAL_POS_INFLATE_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_incr_twice_plus_one' 'h4/thm/numeral/iDUB_removal_1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_refl' 'h4/thm/rat/RAT_EQUIV_REF_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_sub_le_add_l' 'h4/thm/arithmetic/SUB_RIGHT_GREATER_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_add_r' 'h4/thm/real/REAL_LE_MAX1_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lnot_0_l' 'h4/thm/integer/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_Reals_RIneq_Ropp_inv_permute' 'h4/thm/real/ABS_INV_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_le_max_l' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_lt_mono' 'h4/thm/arithmetic/LESS_EQ_MONO_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_factor_r' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_1'
0. 'coq/Coq_ZArith_Znat_Zabs_N_nat' 'h4/thm/ieee/Fraction_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_gcd_1_l' 'h4/thm/extreal/mul_lzero_'
0. 'coq/Coq_ZArith_BinInt_Z_succ_le_mono' 'h4/thm/numpair/tri_LT_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pow_lt_mono'#@#variant 'h4/thm/real/REAL_LE_MUL2_'#@#variant
0. 'coq/Coq_NArith_Ndist_ni_min_O_l' 'h4/thm/integer/INT_MUL_LZERO_'
0. 'coq/Coq_NArith_BinNat_N_mul_lt_mono_pos_l'#@#variant 'h4/thm/arithmetic/EXP_BASE_LT_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_factor_r' 'h4/thm/integer/INT_DIVIDES_MUL_e1'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_sub' 'h4/thm/integer/INT_SUB_'
0. 'coq/Coq_NArith_BinNat_N_even_1' 'h4/thm/ieee/Plus_zero_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_lt_mono_l' 'h4/thm/hreal/HRAT_LT_LMUL_'
0. 'coq/Coq_ZArith_BinInt_Z_add_cancel_l' 'h4/thm/complex/COMPLEX_EQ_LADD_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_sub_le_add_r' 'h4/thm/rat/RAT_RSUB_LES_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_asymm' 'h4/thm/hreal/HRAT_LT_GT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_nonneg_nonpos'#@#variant 'h4/thm/real/REAL_NEG_GT0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_0_r'#@#variant 'h4/thm/numeral/numeral_distrib_11'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_le_mono_r' 'h4/thm/integer/INT_LT_RADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_glb_lt_iff' 'h4/thm/arithmetic/MIN_LE_e1'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_pos'#@#variant 'h4/thm/real/REAL_LT_INV_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_le_mono' 'h4/thm/arithmetic/LESS_MONO_EQ_'
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_nonneg' 'h4/thm/arithmetic/FACT_LESS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_le_mono' 'h4/thm/prim_rec/LESS_MONO_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_1' 'h4/thm/transc/TAN_0_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_lt_mono_pos_l'#@#variant 'h4/thm/integer/INT_LT_MONO_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_add_r' 'h4/thm/transc/RPOW_SUB_'
0. 'coq/Coq_NArith_BinNat_N_testbit_even_0'#@#variant 'h4/thm/toto/qk_numeralOrd_4'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_ngt' 'h4/thm/rat/RAT_LES_LEQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_lt_mono_pos_r'#@#variant 'h4/thm/real/REAL_LT_RMUL_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_succ_lt_mono' 'h4/thm/numpair/tri_LT_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_nlt_1_r' 'h4/thm/extreal/lt_infty_3'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_neq' 'h4/thm/integer/INT_LT_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_neg_neg'#@#variant 'h4/thm/extreal/lt_mul_neg_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_max_le_compat_r' 'h4/thm/arithmetic/LESS_MONO_ADD_'
0. 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_gt_lt_iff' 'h4/thm/integer/int_gt_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_refl' 'h4/thm/integer/INT_DIVIDES_REFL_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_iff' 'h4/thm/real/eq_ints_0'
0. 'coq/Coq_NArith_BinNat_N_le_refl' 'h4/thm/integer/INT_DIVIDES_REFL_'
0. 'coq/Coq_Arith_Factorial_lt_O_fact' 'h4/thm/arithmetic/FACT_LESS_'
0. 'coq/Coq_Reals_RIneq_pos_INR'#@#variant 'h4/thm/frac/FRAC_DNMPOS_'#@#variant
0. 'coq/Coq_ZArith_Znat_positive_nat_N' 'h4/thm/hrat/hrat_sucint_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_sin_neg' 'h4/thm/numeral_bit/iDUB_NUMERAL_'
0. 'coq/Coq_Reals_RIneq_cond_nonzero' 'h4/thm/binary_ieee/float_value_distinct_1'
0. 'coq/Coq_Arith_PeanoNat_Nat_succ_lt_mono' 'h4/thm/transc/EXP_MONO_LT_'
0. 'coq/Coq_PArith_BinPos_Pos_min_glb_iff' 'h4/thm/integral/REAL_LT_MIN_'
0. 'coq/Coq_ZArith_Zorder_Zle_0_nat'#@#variant 'h4/thm/binary_ieee/zero_lt_twopow_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_add_r' 'h4/thm/divides/DIVIDES_ADD_1_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_1_r'#@#variant 'h4/thm/arithmetic/ADD1_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_land_diag' 'h4/thm/gcd/GCD_REF_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ldiff_land' 'h4/thm/real/real_div_'
0. 'coq/Coq_Reals_RIneq_Rnot_ge_lt' 'h4/thm/HolSmt/t015_'
0. 'coq/Coq_Arith_PeanoNat_Nat_Even_succ' 'h4/thm/binary_ieee/exp_ge2_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_pred_succ' 'h4/thm/transc/LN_EXP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_l' 'h4/thm/realax/REAL_LT_IADD_'
0. 'coq/Coq_ZArith_Znat_Zabs2N_id' 'h4/thm/toto/cpn_BIJ_0'
0. 'coq/Coq_NArith_BinNat_N_min_id' 'h4/thm/real/REAL_MAX_REFL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_digits/0'#@#variant 'h4/thm/extreal/le_num_'#@#variant
0. 'coq/Coq_Reals_Raxioms_R1_neq_R0' 'h4/thm/binary_ieee/rounding_distinct_4'
0. 'coq/Coq_ZArith_BinInt_Z_opp_involutive' 'h4/thm/real/REAL_INV_INV_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_nle_succ_0' 'h4/thm/integer/INT_ABS_LT0_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_max_le_iff' 'h4/thm/util_prob/X_LE_MAX_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_le_incl' 'h4/thm/arithmetic/LESS_IMP_LESS_OR_EQ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_lt_mono_nonneg'#@#variant 'h4/thm/integer/INT_LT_MUL2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_opp_l' 'h4/thm/arithmetic/ADD_e1'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lcm_1_r' 'h4/thm/integer/INT_ADD_RID_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_shuffle3' 'h4/thm/HolSmt/r086_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_gt_lt_iff' 'h4/thm/string/string_ge_def_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_lt_iff' 'h4/thm/arithmetic/MAX_LE_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_le_lin' 'h4/thm/numpair/nfst_le_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_lor' 'h4/thm/transc/EXP_ADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_le_compat_r' 'h4/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_Zpos' 'h4/thm/integer/INT_LE_'
0. 'coq/Coq_ZArith_BinInt_Z_add_pred_l' 'h4/thm/arithmetic/ADD_CLAUSES_2'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_lt_mono_pos_l'#@#variant 'h4/thm/integer/INT_LT_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pred_succ' 'h4/thm/prim_rec/PRE_e1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_refl' 'h4/thm/integer/INT_DIVIDES_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftr_shiftr' 'h4/thm/arithmetic/EXP_EXP_MULT_'
0. 'coq/Coq_ZArith_Znat_positive_nat_Z' 'h4/thm/rat/rat_nmr_def_'
0. 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_ge_le_iff' 'h4/thm/arithmetic/GREATER_DEF_'
0. 'coq/Coq_ZArith_Zdiv_Zdiv_opp_opp' 'h4/thm/complex/COMPLEX_NEG_DIV2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_add_le_sub_r' 'h4/thm/real/REAL_LT_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_le_mono_l_iff' 'h4/thm/int_arith/INT_DIVIDES_LRMUL_'#@#variant
0. 'coq/Coq_ZArith_Zquot_Zquot_opp_r' 'h4/thm/rat/RAT_AINV_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_lt_mono_r_iff'#@#variant 'h4/thm/int_arith/justify_divides_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_1_l' 'h4/thm/util_prob/lg_def_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_succ_l' 'h4/thm/complex/COMPLEX_NEG_LDIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_succ_l' 'h4/thm/integer/INT_MUL_CALCULATE_1'
0. 'coq/Coq_PArith_BinPos_Pos_add_diag' 'h4/thm/arithmetic/TIMES2_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lor_diag' 'h4/thm/real/REAL_MIN_REFL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_involutive' 'h4/thm/integer/INT_DIV_CALCULATE_e4'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_mul_l' 'h4/thm/divides/DIVIDES_MULT_'
0. 'coq/Coq_ZArith_BinInt_Z_opp_pos_neg'#@#variant 'h4/thm/real/REAL_NEG_GE0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gt_lt_iff' 'h4/thm/real/real_gt_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_lt_iff' 'h4/thm/extreal/min_le_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_le_mono' 'h4/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_rem_1_r'#@#variant 'h4/thm/arithmetic/EXP_0'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_id' 'h4/thm/real/REAL_MAX_REFL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_0_succ' 'h4/thm/prim_rec/LESS_0_'
0. 'coq/Coq_ZArith_Znat_Zabs2Nat_inj_le'#@#variant 'h4/thm/float/FLOAT_GT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pos_pred_spec' 'h4/thm/util_prob/lg_pow_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_land' 'h4/thm/transc/EXP_SUB_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_lt_mono_r' 'h4/thm/real/REAL_LE_SUB_CANCEL2_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_succ_l' 'h4/thm/real/REAL_MUL_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_nonneg' 'h4/thm/divides/ZERO_LT_PRIMES_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_lt_mono' 'h4/thm/numpair/tri_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftl_shiftl' 'h4/thm/arithmetic/SUB_PLUS_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_gt_lt_iff' 'h4/thm/integer/int_ge_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mod_1_r'#@#variant 'h4/thm/arithmetic/MOD_ONE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_succ_l' 'h4/thm/complex/COMPLEX_NEG_LDIV_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_null'#@#variant 'h4/thm/intExtension/INT_SGN_CLAUSES_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pos_pred_succ' 'h4/thm/integer/NUM_OF_INT_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_max_r' 'h4/thm/integer/INT_DIVIDES_MUL_e1'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_le_mono_r' 'h4/thm/arithmetic/LESS_MONO_ADD_EQ_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_succ_r' 'h4/thm/float/LT_SUC_LE_'
0. 'coq/Coq_PArith_BinPos_Dcompare' 'h4/thm/prelim/ordering_nchotomy_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_add_r' 'h4/thm/integer/INT_DIVIDES_MUL_0'
0. 'coq/Coq_NArith_BinNat_N_pred_succ' 'h4/thm/transc/ATN_TAN_'
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_nonneg' 'h4/thm/transc/ATN_BOUNDS_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_lteq' 'h4/thm/arithmetic/LESS_OR_EQ_'
0. 'coq/Coq_Reals_Rminmax_R_max_le_compat_r' 'h4/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_total' 'h4/thm/hreal/HRAT_LT_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_lt_mono' 'h4/thm/arithmetic/LESS_MONO_EQ_'
0. 'coq/Coq_ZArith_Znat_Z2N_inj_div2' 'h4/thm/quote/index_size_def_1'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_nonneg_nonneg' 'h4/thm/binary_ieee/le2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_divide_mono_r' 'h4/thm/extreal/le_radd_imp_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_cancel_l' 'h4/thm/rat/RAT_EQ_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_lt_iff' 'h4/thm/arithmetic/MAX_LE_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_sub_le_add_r' 'h4/thm/integer/INT_LT_SUB_RADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_pos'#@#variant 'h4/thm/numeral/numeral_distrib_33'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_lt_mono_r_iff'#@#variant 'h4/thm/logroot/LE_EXP_ISO_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_nonneg'#@#variant 'h4/thm/integer/INT_NEG_GE0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_add_r' 'h4/thm/divides/DIVIDES_SUB_'
0. 'coq/Coq_ZArith_BinInt_Z_abs_pow' 'h4/thm/rat/RAT_AINV_LMUL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_sub_l' 'h4/thm/arithmetic/SUB_LESS_EQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_divide_mono_l' 'h4/thm/real/REAL_LE_LADD_IMP_'
0. 'coq/Coq_NArith_BinNat_N_add_pos_pos' 'h4/thm/binary_ieee/le2_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftl_opp_r' 'h4/thm/complex/complex_div_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_opp_min_distr' 'h4/thm/transc/EXP_SUB_'
0. 'coq/Coq_NArith_BinNat_N_pos_pred_succ' 'h4/thm/string_num/s2n_n2s_'#@#variant
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_succ' 'h4/thm/extreal/extreal_sqrt_def_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_sub_le_add_r' 'h4/thm/integer/INT_LT_ADD_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_opp_diag_r' 'h4/thm/integer/INT_ADD_RINV_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_divide_mono_l' 'h4/thm/integer/INT_LT_LADD_IMP_'
0. 'coq/Coq_ZArith_BinInt_Z_succ_le_mono' 'h4/thm/transc/EXP_MONO_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_nle_gt' 'h4/thm/arithmetic/NOT_LESS_'
0. 'coq/Coq_ZArith_BinInt_Z_rem_opp_l_prime' 'h4/thm/real/REAL_MUL_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_lt_mono_r'#@#variant 'h4/thm/integral/REAL_LE_LMUL1_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_le_compat_l' 'h4/thm/integer/INT_LT_LADD_IMP_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_eq_cases' 'h4/thm/integer/INT_LE_CALCULATE_'
0. 'coq/Coq_NArith_BinNat_N_mul_1_r' 'h4/thm/integer/INT_ADD_CALCULATE_1'
0. 'coq/Coq_ZArith_Znat_positive_nat_N' 'h4/thm/rat/rat_nmr_def_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_opp_l' 'h4/thm/integer/INT_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftl_opp_r' 'h4/thm/real/real_sub_'
0. 'coq/Coq_ZArith_Znat_inj_lt' 'h4/thm/realax/TREAL_ISO_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_lt_iff' 'h4/thm/util_prob/X_LE_MAX_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_refl' 'h4/thm/arithmetic/LESS_EQ_REFL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_lcm_l' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_0_l' 'h4/thm/integer/INT_QUOT_0_'#@#variant
0. 'coq/Coq_NArith_Ndist_ni_min_idemp' 'h4/thm/extreal/min_refl_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_nle' 'h4/thm/real/real_lte_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_iff' 'h4/thm/integerRing/int_calculate_8'
0. 'coq/Coq_Arith_PeanoNat_Nat_lnot_0_l' 'h4/thm/HolSmt/r129_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_square_spec' 'h4/thm/numeral/iDUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_1_l'#@#variant 'h4/thm/util_prob/lg_def_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_quot_1_r' 'h4/thm/integer/INT_ADD_RID_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_lt_mono_pos_l'#@#variant 'h4/thm/rat/RAT_LES_LMUL_POS_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_le_add_le_sub_r' 'h4/thm/integer/INT_LT_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_lcm_l' 'h4/thm/integer/INT_DIVIDES_MUL_0'
0. 'coq/Coq_NArith_BinNat_N_mul_lt_mono_pos_l'#@#variant 'h4/thm/integer/INT_LE_MONO_'#@#variant
0. 'coq/Coq_ZArith_Znat_Z2N_inj_div2' 'h4/thm/extreal/extreal_sqrt_def_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_add_r' 'h4/thm/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lor_lnot_diag'#@#variant 'h4/thm/integer/INT_ADD_RINV_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_double'#@#variant 'h4/thm/util_prob/lg_inv_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lcm_divide_iff' 'h4/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_pred_l' 'h4/thm/numpair/invtri_le_'
0. 'coq/Coq_Arith_PeanoNat_Nat_succ_inj_wd' 'h4/thm/numeral/numeral_distrib_19'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_asymm' 'h4/thm/real/REAL_LT_GT_'
0. 'coq/Coq_Arith_PeanoNat_Nat_pred_succ' 'h4/thm/numeral/numeral_add_0'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pred_div2_up' 'h4/thm/complex/COMPLEX_OF_REAL_NEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_involutive' 'h4/thm/integerRing/int_rewrites_tLRRRRRRRRRRRRL'
0. 'coq/Coq_Reals_Rtrigo_calc_sin_lb_ge_0'#@#variant 'h4/thm/transc/SIN_POS_'#@#variant
0. 'coq/Coq_Reals_Rpower_arcsinh_lt' 'h4/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zle_0_pos'#@#variant 'h4/thm/real/POW_2_LE1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_add_lt_sub_r' 'h4/thm/integer/INT_LE_SUB_RADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_lt_iff' 'h4/thm/real/REAL_MIN_LE_'
0. 'coq/Coq_ZArith_BinInt_Z_succ_pred' 'h4/thm/numpair/invtri_linverse_'
0. 'coq/Coq_Structures_OrderedTypeEx_N_as_OT_lt_not_eq' 'h4/thm/prim_rec/LESS_NOT_EQ_'
0. 'coq/Coq_ZArith_BinInt_Z_le_max_l' 'h4/thm/hreal/HRAT_LT_ADDL_'
0. 'coq/Coq_Reals_ROrderedType_ROrder_TO_le_lteq' 'h4/thm/arithmetic/LESS_OR_EQ_'
0. 'coq/Coq_PArith_BinPos_Pos_ge_le_iff' 'h4/thm/arithmetic/GREATER_EQ_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pred_le_mono' 'h4/thm/transc/EXP_MONO_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_eq_0' 'h4/thm/arithmetic/ADD_EQ_0_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_opp_r' 'h4/thm/integer/INT_SUB_CALCULATE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_inj_wd' 'h4/thm/complex/COMPLEX_EQ_NEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_neq' 'h4/thm/extreal/lt_le_'
0. 'coq/Coq_ZArith_Zdiv_Z_mod_same_full' 'h4/thm/arithmetic/ABS_DIFF_EQS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_inj_wd' 'h4/thm/complex/CONJ_EQ2_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_0_mul_prime'#@#variant 'h4/thm/arithmetic/ODD_MULT_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_cancel_l' 'h4/thm/arithmetic/EQ_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_pred_succ' 'h4/thm/transc/LN_EXP_'
0. 'coq/Coq_Lists_List_length_zero_iff_nil' 'h4/thm/quantHeuristics/LIST_LENGTH_10_141'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_id' 'h4/thm/string_num/s2n_n2s_'#@#variant
0. 'coq/Coq_Reals_Rfunctions_pow_O' 'h4/thm/real/pow_0'#@#variant
0. 'coq/Coq_ZArith_Zdiv_div_Zdiv' 'h4/thm/integer/INT_REM_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_le_compat_r' 'h4/thm/integer/TINT_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Lists_List_concat_nil' 'h4/thm/llist/LFLATTEN_THM_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_pow' 'h4/thm/frac/FRAC_AINV_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_succ_l' 'h4/thm/real/REAL_MUL_LNEG_'
0. 'coq/Coq_Reals_RIneq_Rnot_lt_le' 'h4/thm/integer/INT_LTE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_pred_l' 'h4/thm/numpair/invtri_le_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_lt_mono_pos_r'#@#variant 'h4/thm/rat/RAT_LES_RMUL_POS_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_lt_iff' 'h4/thm/arithmetic/MAX_LT_0'
0. 'coq/Coq_NArith_BinNat_N_pow_mul_r' 'h4/thm/arithmetic/EXP_EXP_MULT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_opp' 'h4/thm/numeral/numeral_distrib_16'
0. 'coq/Coq_ZArith_Znat_Nat2Z_is_nonneg' 'h4/thm/extreal/lt_infty_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_r' 'h4/thm/hrat/TRAT_ADD_WELLDEFINED_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_le_mono_r' 'h4/thm/real/REAL_LE_SUB_CANCEL2_'
0. 'coq/Coq_Reals_Rbasic_fun_Rmax_l' 'h4/thm/realax/HREAL_LT_ADDL_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_gt' 'h4/thm/realax/real_lt_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_nonneg_nonneg' 'h4/thm/integer/INT_LT_MUL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_lt_mono_pos_l'#@#variant 'h4/thm/real/REAL_LT_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_max_r' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_1'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_refl' 'h4/thm/extreal/le_refl_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_pos'#@#variant 'h4/thm/transc/LN_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_refl' 'h4/thm/integer/INT_DIVIDES_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_ldiff_ldiff_l' 'h4/thm/arithmetic/EXP_EXP_MULT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ldiff_m1_l'#@#variant 'h4/thm/integer/INT_SUB_REDUCE_1'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_xO'#@#variant 'h4/thm/quote/index_size_def_1'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_divide_0_r' 'h4/thm/extreal/le_infty_tRL'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lcm_diag' 'h4/thm/extreal/max_refl_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_le_mono' 'h4/thm/transc/EXP_MONO_IMP_'
0. 'coq/Coq_Strings_Ascii_ascii_nat_embedding' 'h4/thm/patricia_casts/num_to_string_string_to_num_'#@#variant
0. 'coq/Coq_Bool_Bool_negb_xorb_l' 'h4/thm/rat/RAT_AINV_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_lt_mono_l' 'h4/thm/real/REAL_LE_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_1_r'#@#variant 'h4/thm/arithmetic/PRE_SUB1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_trichotomy' 'h4/thm/hreal/HREAL_LT_TOTAL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lcm_divide_iff' 'h4/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mod_same' 'h4/thm/integer/INT_MOD_ID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_max_distr' 'h4/thm/complex/COMPLEX_EXP_SUB_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_lt_mono_neg_l' 'h4/thm/rat/RAT_LES_LMUL_NEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_le_iff' 'h4/thm/arithmetic/MIN_LE_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lcm_least' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_e2'
0. 'coq/Coq_NArith_BinNat_N_min_le_iff' 'h4/thm/extreal/min_le_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_antisymm' 'h4/thm/arithmetic/LESS_EQUAL_ANTISYM_'
0. 'coq/Coq_NArith_Ndist_ni_le_antisym' 'h4/thm/rat/RAT_LEQ_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_le_mono_l' 'h4/thm/rat/RAT_LES_LADD_'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_eqke_sym'#@#variant 'h4/thm/Encode/biprefix_sym_'
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_pos_l'#@#variant 'h4/thm/transc/RPOW_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mod_mod' 'h4/thm/integer/INT_MOD_MOD_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_lt_trans' 'h4/thm/rat/RAT_LEQ_LES_TRANS_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_lt_mono_r' 'h4/thm/integer/INT_LE_RADD_'
0. 'coq/Coq_Reals_Raxioms_R1_neq_R0' 'h4/thm/toto/all_cpn_distinct_1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_move_r' 'h4/thm/real/REAL_EQ_SUB_RADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sub_le_mono_r' 'h4/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lcm_least' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_e2'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_opp_l' 'h4/thm/complex/COMPLEX_NEG_LDIV_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pow_succ_r_prime' 'h4/thm/arithmetic/MULT_SUC_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_pos_r' 'h4/thm/logroot/EXP_LE_ISO_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_max_l' 'h4/thm/integer/INT_DIVIDES_MUL_0'
0. 'coq/Coq_Arith_PeanoNat_Nat_lxor_nilpotent' 'h4/thm/arithmetic/ABS_DIFF_EQS_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_gt_cases' 'h4/thm/arithmetic/LESS_CASES_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_nonneg' 'h4/thm/integral/LT_0_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_lt_mono_l' 'h4/thm/integer/LT_LADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_involutive' 'h4/thm/integer/INT_REM_CALCULATE_2'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_le_iff' 'h4/thm/arithmetic/MIN_LT_0'
0. 'coq/Coq_Classes_SetoidClass_setoid_sym' 'h4/thm/llist/LFINITE_fromList_'
0. 'coq/Coq_Reals_Rtrigo1_sin_pos_tech'#@#variant 'h4/thm/transc/SIN_POS_PI2_LE_'#@#variant
0. 'coq/Coq_ZArith_Znat_inj_le' 'h4/thm/realax/TREAL_ISO_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_le_nlt' 'h4/thm/real/real_lt_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_iff' 'h4/thm/toto/cpn_EQ_cpn_'
0. 'coq/Coq_Reals_ROrderedType_ROrder_le_lt_trans' 'h4/thm/extreal/let_trans_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_le_mono' 'h4/thm/real/REAL_POS_MONO_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_nle_gt' 'h4/thm/integer/INT_NOT_LT_'
0. 'coq/Coq_Reals_RIneq_Rplus_le_lt_compat' 'h4/thm/integer/INT_LET_ADD2_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lnot_lxor_r' 'h4/thm/numpair/napp_thm_e1'
0. 'coq/Coq_Reals_Rfunctions_powerRZ_O' 'h4/thm/integer/int_exp_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_succ_l' 'h4/thm/arithmetic/PRE_SUB_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_succ_le_mono' 'h4/thm/transc/EXP_MONO_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_land_diag' 'h4/thm/real/REAL_MIN_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_le_0_sub'#@#variant 'h4/thm/real/REAL_SUB_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_move_r' 'h4/thm/real/REAL_EQ_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_succ' 'h4/thm/numRing/num_rewrites_tRRLRR'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_abs_N' 'h4/thm/complex/MODU_REAL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_inj_wd' 'h4/thm/real/REAL_EQ_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_shuffle3' 'h4/thm/float/REAL_MUL_AC_e2'
0. 'coq/Coq_NArith_BinNat_N_shiftl_mul_pow2'#@#variant 'h4/thm/real/real_div_'
0. 'coq/Coq_Reals_RIneq_Ropp_mult_distr_r' 'h4/thm/real/REAL_NEG_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_ngt' 'h4/thm/extreal/extreal_lt_def_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_involutive' 'h4/thm/real/REAL_NEGNEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_nonneg_nonneg' 'h4/thm/integer/INT_LT_MUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_glb_lt_iff' 'h4/thm/arithmetic/MIN_LT_e1'
0. 'coq/Coq_ZArith_BinInt_Z_sub_succ_l' 'h4/thm/rat/RAT_AINV_LMUL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pow_inj_r'#@#variant 'h4/thm/float/REAL_LE_LCANCEL_IMP_'#@#variant
0. 'coq/Coq_Reals_Rpower_arcsinh_le' 'h4/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Reals_Rfunctions_pow_add' 'h4/thm/extreal/pow_add_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lcm_diag' 'h4/thm/extreal/min_refl_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_double'#@#variant 'h4/thm/transc/LN_INV_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_double_size' 'h4/thm/complex/MODU_CONJ_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rdiv_lt_0_compat' 'h4/thm/realax/REAL_LT_MUL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div2_double' 'h4/thm/numRing/num_rewrites_tLLRRRR'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div_0_l' 'h4/thm/integer/INT_MOD0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_irrefl' 'h4/thm/hreal/HRAT_LT_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_le_mono' 'h4/thm/hrat/TRAT_INV_WELLDEFINED_'#@#variant
0. 'coq/Coq_QArith_Qminmax_Q_min_max_distr' 'h4/thm/hrat/TRAT_LDISTRIB_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_divide_mono_r' 'h4/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_shiftl_mul_pow2'#@#variant 'h4/thm/real/real_sub_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_1_l' 'h4/thm/integer/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_lt_iff' 'h4/thm/arithmetic/MAX_LE_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_r' 'h4/thm/integer/TINT_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_nonpos_nonpos' 'h4/thm/rat/RAT_LES0_LES0_ADD_'#@#variant
0. 'coq/Coq_ZArith_Znat_Z2N_inj_quot2' 'h4/thm/complex/COMPLEX_OF_REAL_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_pos'#@#variant 'h4/thm/real/REAL_LE_INV_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_square_spec' 'h4/thm/numeral/iSQR_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_neg_xO'#@#variant 'h4/thm/toto/num_dt_size_def_1'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_opp_succ' 'h4/thm/sptree/lrnext_thm_e4'#@#variant
0. 'coq/Coq_Arith_Plus_le_plus_r' 'h4/thm/integer/INT_DIVIDES_MUL_e1'
0. 'coq/Coq_ZArith_Zorder_Zsucc_lt_compat' 'h4/thm/transc/EXP_MONO_IMP_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_id' 'h4/thm/ASCIInumbers/toNum_toString_'#@#variant
0. 'coq/Coq_Bool_Bool_eqb_true_iff' 'h4/thm/rat/RAT_EQ_SUB0_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_refl' 'h4/thm/integer/INT_DIVIDES_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_eq_1'#@#variant 'h4/thm/gcd/GCD_EQ_0_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_ge' 'h4/thm/realax/real_lt_'#@#variant
0. 'coq/Coq_Reals_ROrderedType_ROrder_le_refl' 'h4/thm/hrat/TRAT_EQ_REFL_'#@#variant
0. 'coq/Coq_Reals_Rsqrt_def_Rsqrt_positivity'#@#variant 'h4/thm/binary_ieee/zero_lt_twopow_'#@#variant
0. 'coq/Coq_ZArith_Zpow_facts_Zpower2_lt_lin'#@#variant 'h4/thm/divides/DIVIDES_FACT_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div_0_l' 'h4/thm/integer/INT_MOD0_'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qcle_refl' 'h4/thm/divides/DIVIDES_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pos_pred_spec' 'h4/thm/numRing/num_ring_thms_e17'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_add_r' 'h4/thm/real/REAL_LE_MAX1_'
0. 'coq/Coq_Numbers_Cyclic_DoubleCyclic_DoubleBase_lt_0_wB'#@#variant 'h4/thm/float/twogz_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_lub_iff' 'h4/thm/arithmetic/MAX_LT_e1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_neq_succ_0' 'h4/thm/num/ZERO_REP_DEF_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_le_mono_l' 'h4/thm/arithmetic/LT_ADD_LCANCEL_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_nonneg' 'h4/thm/transc/ATN_BOUNDS_0'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_lt_m1_0' 'h4/thm/real/REAL_THIRDS_BETWEEN_tLRL'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_nlt' 'h4/thm/integer/int_le_'
0. 'coq/Coq_Reals_RIneq_Rplus_ge_compat_l' 'h4/thm/real/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_nonneg' 'h4/thm/prim_rec/LESS_0_'
0. 'coq/Coq_PArith_BinPos_Pos_add_le_mono_r' 'h4/thm/hreal/HRAT_LT_RMUL_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_1' 'h4/thm/real/REAL_INV_0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_neq_mul_0' 'h4/thm/rat/RAT_NO_ZERODIV_NEG_'#@#variant
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_double'#@#variant 'h4/thm/extreal/extreal_sqrt_def_0'
0. 'coq/Coq_PArith_BinPos_Pos_sub_1_r' 'h4/thm/arithmetic/ADD1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_pos'#@#variant 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_opp_r' 'h4/thm/integer/INT_NEG_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_opp_r' 'h4/thm/arithmetic/ADD_CLAUSES_e3'
0. 'coq/Coq_ZArith_BinInt_Z_divide_Zpos' 'h4/thm/float/REAL_OF_NUM_LT_'
0. 'coq/Coq_Reals_RIneq_double'#@#variant 'h4/thm/real/REAL_DOUBLE_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_negb_odd' 'h4/thm/numRing/num_ring_thms_e17'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_neq_succ_0' 'h4/thm/arithmetic/SUC_NOT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_ge_le_iff' 'h4/thm/string/string_ge_def_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_log2_null'#@#variant 'h4/thm/intExtension/INT_SGN_CLAUSES_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_le_mono' 'h4/thm/bit/TWOEXP_MONO2_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_divide' 'h4/thm/realax/real_lt_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_glb_lt' 'h4/thm/divides/DIVIDES_SUB_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_sgn' 'h4/thm/extreal/extreal_inv_def_e2'
0. 'coq/Coq_Arith_Plus_le_plus_trans' 'h4/thm/integer/INT_DIVIDES_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_m1_0' 'h4/thm/extreal/thirds_between_tRLR'#@#variant
0. 'coq/Coq_Reals_Rtrigo_calc_sqrt2_neq_0'#@#variant 'h4/thm/ieee/ccode_distinct_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_1_r' 'h4/thm/arithmetic/DIV_ONE_'
0. 'coq/Coq_NArith_BinNat_N_le_ngt' 'h4/thm/rat/RAT_LES_LEQ_'
0. 'coq/Coq_QArith_Qabs_Qabs_triangle' 'h4/thm/real/REAL_ABS_TRIANGLE_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_incrbis_aux_equiv' 'h4/thm/complex/COMPLEX_SCALAR_LMUL_NEG1_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_lt_trans' 'h4/thm/rat/RAT_LEQ_LES_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_le_mono' 'h4/thm/integer/TINT_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_div_1_r' 'h4/thm/integer/INT_ADD_CALCULATE_1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_0_iff' 'h4/thm/real/ABS_ZERO_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_pred_double_succ' 'h4/thm/numRing/num_rewrites_tLRLRR'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_pred_l' 'h4/thm/numpair/invtri_le_'
0. 'coq/Coq_Reals_Rtrigo_calc_rad_deg' 'h4/thm/transc/LN_EXP_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_1_r' 'h4/thm/real/REAL_ADD_RID_'
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_l' 'h4/thm/real/REAL_LT_IADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_le_mono' 'h4/thm/numeral/numeral_lt_4'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_setbit_spec_prime'#@#variant 'h4/thm/rat/RAT_DIV_MULMINV_'
0. 'coq/Coq_QArith_Qcanon_Qclt_le_weak' 'h4/thm/integer/INT_LT_IMP_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_compare_eq_iff' 'h4/thm/quote/compare_index_equal_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_nonneg'#@#variant 'h4/thm/real/REAL_LT_MUL2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_involutive' 'h4/thm/real/REAL_INV_INV_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_lt_mono_l' 'h4/thm/hreal/HRAT_LT_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_glb_lt_iff' 'h4/thm/arithmetic/MIN_LT_e1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_total' 'h4/thm/arithmetic/LESS_CASES_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_max_r' 'h4/thm/real/REAL_LE_MAX2_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_iff' 'h4/thm/ieee/roundmode2num_11_'
0. 'coq/Coq_Reals_Rminmax_R_min_le_compat_l' 'h4/thm/real/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gt_lt_iff' 'h4/thm/rat/rat_geq_def_'
0. 'coq/Coq_ZArith_BinInt_Z_nle_gt' 'h4/thm/extreal/extreal_lt_def_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_Odd_succ' 'h4/thm/binary_ieee/exp_gt2_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_nonneg' 'h4/thm/divides/ZERO_LT_PRIMES_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_succ_l' 'h4/thm/arithmetic/ADD_CLAUSES_2'
0. 'coq/Coq_ZArith_BinInt_Z_mul_1_l' 'h4/thm/rat/RAT_ADD_LID_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_lt_trans' 'h4/thm/arithmetic/LESS_EQ_LESS_TRANS_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_even' 'h4/thm/ieee/Fraction_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_compare_xO_xO' 'h4/thm/toto/num_dtOrd_7'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_le_incl' 'h4/thm/rat/RAT_LES_IMP_LEQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_nonneg_nonneg' 'h4/thm/binary_ieee/le2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_double_spec'#@#variant 'h4/thm/extreal/inv_1over_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_diag'#@#variant 'h4/thm/numeral/iSQR_'
0. 'coq/Coq_Reals_ROrderedType_ROrder_le_refl' 'h4/thm/extreal/le_refl_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_gcd_divide_l' 'h4/thm/arithmetic/SUB_LESS_EQ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_le_mono' 'h4/thm/integerRing/int_rewrites_tLRRRRLRRR'
0. 'coq/Coq_Reals_Rtrigo1_COS_bound/1' 'h4/thm/transc/SIN_BOUNDS_e1'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_1_r' 'h4/thm/HolSmt/r223_'
0. 'coq/Coq_QArith_Qminmax_Q_min_glb' 'h4/thm/divides/DIVIDES_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_le_mono_r' 'h4/thm/integer/INT_LT_RADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_1' 'h4/thm/real/REAL_NEG_0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftr_opp_r' 'h4/thm/extreal/extreal_div_def_'
0. 'coq/Coq_Reals_Ratan_Alt_PI_eq' 'h4/thm/real/REAL_1_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_lt_mono_r'#@#variant 'h4/thm/extreal/le_lmul_imp_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_lt_mono_r' 'h4/thm/integer/INT_LT_RADD_'
0. 'coq/Coq_Reals_RIneq_Rplus_gt_compat_l' 'h4/thm/realax/REAL_LT_IADD_'
0. 'coq/Coq_ZArith_BinInt_Z_le_add_le_sub_r' 'h4/thm/arithmetic/SUB_LEFT_GREATER_EQ_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_lt_add_r' 'h4/thm/arithmetic/LESS_IMP_LESS_ADD_'
0. 'coq/Coq_Strings_Ascii_ascii_nat_embedding' 'h4/thm/toto/num2cpn_cpn2num_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_lt_mono_r_iff'#@#variant 'h4/thm/logroot/LT_EXP_ISO_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_diag' 'h4/thm/arithmetic/MAX_IDEM_'
0. 'coq/Coq_Bool_Bool_eqb_true_iff' 'h4/thm/rat/RAT_EQ_0SUB_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_add_r' 'h4/thm/transc/RPOW_SUB_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_Zpos' 'h4/thm/integer/INT_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_r' 'h4/thm/integer/TINT_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_nonneg_nonneg' 'h4/thm/integer/TINT_LT_MUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ldiff_diag' 'h4/thm/integer/INT_SUB_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_0_r'#@#variant 'h4/thm/numeral/numeral_exp_0'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_le_mono_r' 'h4/thm/arithmetic/LESS_MONO_ADD_EQ_'
0. 'coq/Coq_Numbers_BigNumPrelude_Z_div_plus_l'#@#variant 'h4/thm/arithmetic/ADD_DIV_ADD_DIV_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_Odd_succ' 'h4/thm/numeral/numeral_distrib_21'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_neq' 'h4/thm/integer/INT_LT_IMP_NE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_le_mono_r_iff' 'h4/thm/integer/INT_LE_MONO_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mod_same' 'h4/thm/integer/INT_MOD_ID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_lt_iff' 'h4/thm/extreal/le_max_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_le_lin'#@#variant 'h4/thm/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_ZArith_Zeven_Zodd_even_bool' 'h4/thm/numRing/num_ring_thms_e17'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lcm_eq_0' 'h4/thm/extreal/entire_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pos_pred_succ' 'h4/thm/ieee/float_tybij_0'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_1_mul_pos'#@#variant 'h4/thm/integer/INT_LTE_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_lt_mono_r' 'h4/thm/integer/INT_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_le_mono' 'h4/thm/transc/EXP_MONO_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_le_mono' 'h4/thm/prim_rec/LESS_MONO_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_id' 'h4/thm/extreal/min_refl_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_Even_succ' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRL'#@#variant
0. 'coq/Coq_ZArith_Zlogarithm_ZERO_le_N_digits' 'h4/thm/arithmetic/FACT_LESS_'
0. 'coq/Coq_QArith_QArith_base_Zlt_Qlt' 'h4/thm/string/char_lt_def_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_nlt_ge' 'h4/thm/rat/RAT_LES_LEQ_'
0. 'coq/Coq_NArith_BinNat_N_add_nonneg_nonneg' 'h4/thm/binary_ieee/le2_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_pos_pos' 'h4/thm/arithmetic/LESS_MULT2_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sub_le_mono_r' 'h4/thm/extreal/le_radd_imp_'
0. 'coq/Coq_Reals_ROrderedType_R_as_OT_eqb_eq' 'h4/thm/quote/compare_index_equal_'
0. 'coq/Coq_Reals_ROrderedType_ROrder_not_ge_lt' 'h4/thm/real/REAL_LTE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_le_mono' 'h4/thm/divides/LT_PRIMES_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_mod' 'h4/thm/integer/INT_MOD_SUB_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_refl' 'h4/thm/rat/RAT_LEQ_REF_'
0. 'coq/Coq_QArith_QArith_base_Qle_refl' 'h4/thm/extreal/le_refl_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_glb_lt_iff' 'h4/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_antisym' 'h4/thm/rat/RAT_LEQ_ANTISYM_'
0. 'coq/Coq_NArith_BinNat_N_lcm_eq_0' 'h4/thm/real/REAL_ENTIRE_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rmax_Rle' 'h4/thm/arithmetic/MAX_LT_0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pred_div2_up' 'h4/thm/rat/RAT_AINV_CALCULATE_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_succ_not_1' 'h4/thm/transc/EXP_NZ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_simpl_l' 'h4/thm/integer/INT_ADD_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_0_sub'#@#variant 'h4/thm/rat/RAT_LES_0SUB_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_0_succ' 'h4/thm/arithmetic/FACT_LESS_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_le_mono_l' 'h4/thm/integer/LT_LADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_divide_mul_l' 'h4/thm/divides/DIVIDES_MULT_'
0. 'coq/Coq_ZArith_Zdiv_Zdiv_1_r' 'h4/thm/integer/INT_ADD_REDUCE_1'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_is_nonneg' 'h4/thm/extreal/lt_infty_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div2_nonneg'#@#variant 'h4/thm/real/REAL_LE_INV_EQ_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_gcd_1_r' 'h4/thm/integer/INT_MUL_REDUCE_0'
0. 'coq/Coq_Arith_PeanoNat_Nat_div_0_l' 'h4/thm/integer/INT_DIV_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_le_mono_r' 'h4/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_add_simpl_r_r' 'h4/thm/arithmetic/ABS_DIFF_ADD_SAME_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_divide_xO_xO' 'h4/thm/numeral/numeral_lte_3'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_ge_cases' 'h4/thm/real/REAL_LE_TOTAL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_lt_mono_r' 'h4/thm/arithmetic/LE_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_le_mono' 'h4/thm/transc/EXP_MONO_IMP_'
0. 'coq/Coq_MMaps_MMapPositive_PositiveMap_lt_rev_append' 'h4/thm/realax/TREAL_LT_ADD_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_nlt_ge' 'h4/thm/rat/RAT_LEQ_LES_'
0. 'coq/Coq_ZArith_BinInt_Z_add_opp_diag_l' 'h4/thm/integer/INT_ADD_LINV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_lt_mono' 'h4/thm/arithmetic/LESS_MONO_EQ_'
0. 'coq/Coq_NArith_BinNat_N_lt_succ_diag_r' 'h4/thm/prim_rec/LESS_SUC_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_ngt' 'h4/thm/HolSmt/r115_'
0. 'coq/Coq_Reals_Rpower_ln_exp' 'h4/thm/numRing/num_rewrites_tLLRRRR'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_alt_dichotomy' 'h4/thm/arithmetic/LESS_EQ_CASES_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_ngt' 'h4/thm/real/real_lte_'
0. 'coq/Coq_Bool_Bool_diff_true_false' 'h4/thm/ieee/roundmode_distinct_4'
0. 'coq/Coq_NArith_BinNat_N_sub_max_distr_l' 'h4/thm/arithmetic/EXP_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_lt_mono' 'h4/thm/numeral/numeral_lt_4'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_ngt' 'h4/thm/real/real_lt_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_negb_even' 'h4/thm/integerRing/int_ring_thms_e17'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_opp_l' 'h4/thm/integer/INT_NEG_LMUL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_eq_0' 'h4/thm/gcd/GCD_EQ_0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mod_1_r'#@#variant 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRL'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_add_lt_sub_r' 'h4/thm/arithmetic/SUB_LEFT_LESS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_nonneg_pos'#@#variant 'h4/thm/integer/INT_LET_ADD_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_odd_1' 'h4/thm/ieee/Minus_zero_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_lt_mono_r' 'h4/thm/hreal/HRAT_LT_RMUL_'
0. 'coq/Coq_ZArith_BinInt_Z_land_diag' 'h4/thm/extreal/min_refl_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lxor_eq_0_iff' 'h4/thm/real/REAL_SUB_0_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_max_lub_iff' 'h4/thm/extreal/max_le_'
0. 'coq/Coq_omega_OmegaLemmas_Zred_factor0' 'h4/thm/extreal/sub_rzero_'
0. 'coq/Coq_Reals_Rtrigo_calc_sqrt2_neq_0'#@#variant 'h4/thm/binary_ieee/float_compare_distinct_0'
0. 'coq/Coq_QArith_Qcanon_Qcle_antisym' 'h4/thm/rat/RAT_LEQ_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_antisymm' 'h4/thm/arithmetic/LESS_EQUAL_ANTISYM_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lnot_0_l' 'h4/thm/integer/INT_SUB_REDUCE_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_ones_equiv'#@#variant 'h4/thm/numRing/num_rewrites_tLRLRR'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_glb_iff' 'h4/thm/arithmetic/MIN_LT_e1'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_lt_mono_l' 'h4/thm/integer/INT_LE_LADD_'
0. 'coq/Coq_ZArith_BinInt_Z_land_lnot_diag' 'h4/thm/real/REAL_ADD_RINV_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_succ_r' 'h4/thm/arithmetic/MULT_CLAUSES_e5'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_pred_succ' 'h4/thm/string/IMPLODE_EXPLODE_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_inj_wd' 'h4/thm/complex/COMPLEX_EQ_NEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_nonpos_nonneg'#@#variant 'h4/thm/integer/INT_NEG_LE0_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_add_lt_sub_r' 'h4/thm/real/REAL_LT_SUB_RADD_'
0. 'coq/Coq_NArith_BinNat_N_succ_inj_wd' 'h4/thm/real/REAL_EQ_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_pred_l' 'h4/thm/rat/RAT_AINV_LMUL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_le_iff' 'h4/thm/arithmetic/MIN_LT_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_opp_r' 'h4/thm/integer/INT_NEG_RMUL_'
0. 'coq/Coq_NArith_BinNat_N_gcd_eq_0_l' 'h4/thm/transc/RPOW_NZ_'#@#variant
0. 'coq/Coq_QArith_Qminmax_Q_min_glb_lt' 'h4/thm/divides/DIVIDES_ADD_1_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_lt_mono_pos_l'#@#variant 'h4/thm/int_arith/lt_justify_multiplication_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lt_eq_cases' 'h4/thm/string/string_le_def_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_lt_mono_r'#@#variant 'h4/thm/integral/REAL_LE_LMUL1_'#@#variant
0. 'coq/Coq_Numbers_Cyclic_DoubleCyclic_DoubleBase_wB_pos'#@#variant 'h4/thm/frac/FRAC_DNMPOS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_nonneg_l'#@#variant 'h4/thm/arithmetic/EXP_BASE_LEQ_MONO_IMP_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_1_l'#@#variant 'h4/thm/arithmetic/ZERO_LESS_EQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_square_spec' 'h4/thm/numeral/iDUB_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_cancel_l' 'h4/thm/real/REAL_EQ_LMUL2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_1_l' 'h4/thm/extreal/sub_lzero_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_opp_r' 'h4/thm/complex/COMPLEX_SUB_RNEG_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_shiftr_opp_r' 'h4/thm/rat/RAT_SUB_ADDAINV_'
0. 'coq/Coq_NArith_BinNat_N_clearbit_spec_prime'#@#variant 'h4/thm/complex/complex_sub_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_lt_add_r' 'h4/thm/integer/INT_DIVIDES_LMUL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_nge' 'h4/thm/extreal/extreal_lt_def_'
0. 'coq/Coq_ZArith_Zpow_alt_Zpower_alt_0_r'#@#variant 'h4/thm/util_prob/logr_1_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rmax_r' 'h4/thm/integer/INT_DIVIDES_MUL_e1'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_iff' 'h4/thm/toto/cpn_EQ_cpn_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_pred_succ' 'h4/thm/numpair/invtri_linverse_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_pred' 'h4/thm/numRing/num_rewrites_tLLRRRR'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_le_ngt' 'h4/thm/integer/INT_NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_sub_1_r' 'h4/thm/arithmetic/DIV2_def_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_lnot_diag'#@#variant 'h4/thm/hreal/HRAT_MUL_RINV_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_lt_iff' 'h4/thm/real/REAL_MIN_LE_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_cancel_l' 'h4/thm/integer/INT_EQ_LADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_inj' 'h4/thm/num/INV_SUC_'
0. 'coq/Coq_QArith_QArith_base_Qlt_irrefl' 'h4/thm/real/REAL_LT_REFL_'
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_le_mono' 'h4/thm/transc/EXP_MONO_IMP_'
0. 'coq/Coq_NArith_BinNat_N_pow_0_l' 'h4/thm/integer/INT_DIV_0_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_clearbit_spec_prime'#@#variant 'h4/thm/rat/RAT_DIV_MULMINV_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_0_succ' 'h4/thm/arithmetic/FACT_LESS_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_total' 'h4/thm/rat/RAT_LES_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_ge_le_iff' 'h4/thm/integer/INT_GE_CALCULATE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_refl' 'h4/thm/hrat/TRAT_EQ_REFL_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mod_mul' 'h4/thm/integer/INT_REM_COMMON_FACTOR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_le_compat_r' 'h4/thm/integer/TINT_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_clearbit_spec_prime'#@#variant 'h4/thm/complex/COMPLEX_SUB_RNEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_refl' 'h4/thm/real/REAL_LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_succ_r' 'h4/thm/complex/COMPLEX_NEG_RDIV_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_setbit_spec_prime'#@#variant 'h4/thm/frac/frac_sub_def_'
0. 'coq/Coq_NArith_BinNat_N_max_id' 'h4/thm/gcd/GCD_REF_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_neq_succ_0' 'h4/thm/num/NOT_SUC_'
0. 'coq/Coq_ZArith_BinInt_Z_land_lnot_diag' 'h4/thm/rat/RAT_ADD_RINV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lcm_1_l' 'h4/thm/integer/INT_ADD_LID_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_sub_lt_add_r' 'h4/thm/real/REAL_LT_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_divide_xO_xO' 'h4/thm/numpair/tri_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lxor_eq' 'h4/thm/extreal/sub_0_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_opp' 'h4/thm/extreal/extreal_exp_def_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_div_1_r' 'h4/thm/arithmetic/DIV_ONE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_1_l' 'h4/thm/integer/INT_SUB_REDUCE_1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_total' 'h4/thm/hreal/HREAL_LT_TOTAL_'
0. 'coq/Coq_PArith_BinPos_Pos_le_max_l' 'h4/thm/hreal/HRAT_LT_ADDL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_cancel_r' 'h4/thm/arithmetic/EQ_MONO_ADD_EQ_'
0. 'coq/Coq_QArith_Qcanon_canon' 'h4/thm/complex/CONJ_NUM_REFL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_gcd_0_r' 'h4/thm/arithmetic/ADD1_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_quot2' 'h4/thm/complex/COMPLEX_OF_REAL_INV_'#@#variant
0. 'coq/Coq_fourier_Fourier_util_Rlt_zero_pos_plus1'#@#variant 'h4/thm/real/REAL_LE_INV_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_succ_inj_wd' 'h4/thm/complex/COMPLEX_INV_INJ_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div_1_r' 'h4/thm/real/REAL_ADD_RID_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_0_sub'#@#variant 'h4/thm/integer/INT_SUB_LE_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_succ_l' 'h4/thm/arithmetic/ADD_CLAUSES_2'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_gempty' 'h4/thm/sptree/lookup_def_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ldiff_diag' 'h4/thm/integer/INT_SUB_REFL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_le_mono' 'h4/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rle_max_compat_r' 'h4/thm/hrat/TRAT_ADD_WELLDEFINED_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_pos_l'#@#variant 'h4/thm/real/REAL_LE_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_le_compat_r' 'h4/thm/integer/TINT_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_le_compat_l' 'h4/thm/real/REAL_LT_IADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_le_mono_r_iff'#@#variant 'h4/thm/real/REAL_LE_LMUL_'#@#variant
0. 'coq/Coq_Arith_Le_le_n_S' 'h4/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_ge_cases' 'h4/thm/arithmetic/LESS_EQ_CASES_'
0. 'coq/Coq_ZArith_BinInt_Z_div2_spec'#@#variant 'h4/thm/arithmetic/DIV2_def_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_neq_0_succ' 'h4/thm/quote/index_distinct_1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_nonneg_nonneg' 'h4/thm/realax/TREAL_LT_MUL_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_1' 'h4/thm/real/REAL_NEG_0_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_lt_mono_l' 'h4/thm/hreal/HRAT_LT_LADD_'
0. 'coq/Coq_QArith_Qminmax_Q_max_le_compat_r' 'h4/thm/integer/TINT_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Arith_Plus_le_plus_r' 'h4/thm/real/REAL_LE_MAX2_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_antisymm' 'h4/thm/arithmetic/LESS_EQUAL_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_divide_xO_xO' 'h4/thm/numeral/numeral_lt_4'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_phi' 'h4/thm/num/num_ISO_DEF_0'
0. 'coq/Coq_QArith_QArith_base_Qplus_inj_l' 'h4/thm/hreal/HRAT_LT_LADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_neg_pos'#@#variant 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRL'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_null_iff' 'h4/thm/extreal/neg_eq0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_le_mono' 'h4/thm/real/REAL_POS_MONO_'
0. 'coq/Coq_fourier_Fourier_util_Rfourier_eqLR_to_le' 'h4/thm/HolSmt/t007_'
0. 'coq/Coq_NArith_BinNat_N_lor_diag' 'h4/thm/extreal/min_refl_'
0. 'coq/Coq_NArith_BinNat_N_testbit_even_0'#@#variant 'h4/thm/toto/numeralOrd_3'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_r' 'h4/thm/hrat/TRAT_ADD_WELLDEFINED_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_refl' 'h4/thm/realax/TREAL_EQ_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_lt_iff' 'h4/thm/arithmetic/MIN_LE_0'
0. 'coq/Coq_NArith_BinNat_N_div_1_r' 'h4/thm/HolSmt/r223_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_gt_cases' 'h4/thm/arithmetic/LESS_CASES_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_glb' 'h4/thm/divides/DIVIDES_ADD_1_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_max_l' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_0'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_glb' 'h4/thm/divides/DIVIDES_ADD_1_'
0. 'coq/Coq_PArith_BinPos_Pos_add_succ_l' 'h4/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_xO_r' 'h4/thm/extreal/mul_rneg_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_succ_not_1' 'h4/thm/transc/EXP_NZ_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_succ_inj_wd' 'h4/thm/string/IMPLODE_11_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lor_diag' 'h4/thm/arithmetic/MIN_IDEM_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_shuffle3' 'h4/thm/float/REAL_MUL_AC_e2'
0. 'coq/Coq_Arith_Factorial_fact_le' 'h4/thm/divides/LT_PRIMES_'
0. 'coq/Coq_ZArith_BinInt_Z_lxor_eq_0_iff' 'h4/thm/arithmetic/ABS_DIFF_EQ_0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftr_opp_r' 'h4/thm/complex/complex_sub_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_divide_mono_l' 'h4/thm/real/REAL_LT_IADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_setbit_spec_prime'#@#variant 'h4/thm/frac/frac_sub_def_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_pos_nonneg'#@#variant 'h4/thm/real/REAL_LTE_ADD_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_succ_inj_wd' 'h4/thm/prim_rec/INV_SUC_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_le_mono_l' 'h4/thm/rat/RAT_LES_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_trichotomy' 'h4/thm/integer/INT_LT_TOTAL_'
0. 'coq/Coq_Reals_Rtrigo_def_cos_sym' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRLRRRR'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_succ_not_1' 'h4/thm/quote/index_distinct_e2'
0. 'coq/Coq_ZArith_Znat_positive_N_Z' 'h4/thm/ieee/Sign_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pred_succ' 'h4/thm/transc/ATN_TAN_'
0. 'coq/Coq_Init_Datatypes_CompOpp_involutive' 'h4/thm/integerRing/int_rewrites_tLRRRRRRRRRRRRL'
0. 'coq/Coq_ZArith_Znat_Zabs2N_id' 'h4/thm/prelim/ordering_BIJ_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_lcm_r' 'h4/thm/extreal/le_max2_'
0. 'coq/Coq_ZArith_Znat_Zabs2N_id' 'h4/thm/binary_ieee/num2float_compare_float_compare2num_'
0. 'coq/Coq_ZArith_Zlogarithm_ZERO_le_N_digits' 'h4/thm/transc/ATN_0'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_div2' 'h4/thm/complex/COMPLEX_OF_REAL_NEG_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_1_r' 'h4/thm/extreal/add_rzero_'
0. 'coq/Coq_NArith_BinNat_N_pred_div2_up' 'h4/thm/quote/index_size_def_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_1_l' 'h4/thm/rat/RAT_SUB_LID_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_alt_dichotomy' 'h4/thm/real/REAL_LE_TOTAL_'
0. 'coq/Coq_Reals_Rpower_arcsinh_sinh' 'h4/thm/string/IMPLODE_EXPLODE_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sub_pred_l' 'h4/thm/complex/COMPLEX_NEG_LMUL_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_mul_lt_mono_r' 'h4/thm/arithmetic/LT_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sub_le_mono_r' 'h4/thm/arithmetic/LESS_MONO_MULT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_cancel_r' 'h4/thm/integer/INT_EQ_RADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_quot_abs' 'h4/thm/real/ABS_DIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_nonneg' 'h4/thm/prim_rec/LESS_0_'
0. 'coq/Coq_ZArith_BinInt_Z_rem_1_r'#@#variant 'h4/thm/arithmetic/MOD_ONE_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_le_trans' 'h4/thm/real/REAL_LTE_TRANS_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_inj_wd' 'h4/thm/toto/num_dt_11_e1'
0. 'coq/Coq_ZArith_BinInt_Z_lt_1_mul_pos'#@#variant 'h4/thm/util_prob/REAL_LE_LT_MUL_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_cancel_l' 'h4/thm/hreal/HRAT_EQ_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_le_lin'#@#variant 'h4/thm/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_neq_0_succ' 'h4/thm/num/ZERO_REP_DEF_'
0. 'coq/Coq_Reals_RIneq_Rinv_neq_0_compat' 'h4/thm/real/REAL_INV_NZ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_le_mono_r' 'h4/thm/arithmetic/EXP_BASE_LEQ_MONO_IMP_'
0. 'coq/Coq_Arith_Compare_dec_not_eq' 'h4/thm/arithmetic/LESS_LESS_CASES_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_nonneg_nonneg' 'h4/thm/integer/INT_LT_MUL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_inj_wd' 'h4/thm/rat/RAT_EQ_AINV_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_nle_gt' 'h4/thm/rat/RAT_LES_LEQ_'
0. 'coq/Coq_Lists_List_app_length' 'h4/thm/sptree/size_def_2'
0. 'coq/Coq_Reals_RIneq_Rmult_le_compat_r'#@#variant 'h4/thm/real/REAL_LE_RMUL_IMP_'#@#variant
0. 'coq/Coq_ZArith_Zpower_two_p_equiv'#@#variant 'h4/thm/extreal/inv_1over_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pos_pred_succ' 'h4/thm/pred_set/pair_to_num_inv_0'#@#variant
0. 'coq/Coq_Bool_Bool_negb_xorb_l' 'h4/thm/arithmetic/ADD_CLAUSES_2'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_neq_succ_diag_r' 'h4/thm/prim_rec/SUC_ID_'
0. 'coq/Coq_ZArith_BinInt_Z_rem_opp_l_prime' 'h4/thm/complex/COMPLEX_NEG_LMUL_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_max_l' 'h4/thm/extreal/le_max1_'
0. 'coq/Coq_Arith_PeanoNat_Nat_neq_succ_0' 'h4/thm/bit/TWOEXP_NOT_ZERO_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_divide_add_r' 'h4/thm/divides/DIVIDES_SUB_'
0. 'coq/Coq_NArith_BinNat_N_add_succ_r' 'h4/thm/real/REAL_MUL_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lcm_eq_0' 'h4/thm/real/REAL_ENTIRE_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_mul_xO_r' 'h4/thm/real/REAL_MUL_RNEG_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_le_compat_r' 'h4/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Reals_Rpower_sinh_arcsinh' 'h4/thm/numeral/DIV2_BIT1_'
0. 'coq/Coq_Reals_Rtrigo1_COS_bound/0'#@#variant 'h4/thm/transc/ATN_BOUNDS_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_succ_diag_r' 'h4/thm/bit/BIT_B_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_irrefl' 'h4/thm/realax/REAL_LT_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_le_mono_r_iff'#@#variant 'h4/thm/real/REAL_LT_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lxor_eq_0_iff' 'h4/thm/integer/INT_SUB_0_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lt_succ_diag_r' 'h4/thm/prim_rec/LESS_SUC_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_eq_cases' 'h4/thm/real/REAL_LE_LT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_inj_wd' 'h4/thm/string/EXPLODE_11_'#@#variant
0. 'coq/Coq_Init_Peano_le_0_n'#@#variant 'h4/thm/integral/LE_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lnot_0_l' 'h4/thm/integer/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_le_mono' 'h4/thm/prim_rec/LESS_MONO_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_refl' 'h4/thm/rat/RAT_LEQ_REF_'
0. 'coq/Coq_ZArith_BinInt_Z_rem_opp_l_prime' 'h4/thm/frac/FRAC_AINV_LMUL_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_succ_m1'#@#variant 'h4/thm/real/REAL_THIRDS_BETWEEN_e4'#@#variant
0. 'coq/Coq_Reals_SeqProp_cv_cvabs' 'h4/thm/seq/SER_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mod_mod' 'h4/thm/integer/INT_MOD_MOD_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_r' 'h4/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_pred' 'h4/thm/numRing/num_rewrites_tLRLRRR'
0. 'coq/Coq_Reals_Rtrigo_calc_sin3PI4'#@#variant 'h4/thm/divides/PRIMES_def_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_r' 'h4/thm/integer/TINT_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_pred_of_succ_nat' 'h4/thm/util_prob/lg_pow_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_le_compat_l' 'h4/thm/extreal/le_ladd_imp_'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_le_mono' 'h4/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_le_mono_l' 'h4/thm/hreal/HRAT_LT_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_lteq' 'h4/thm/arithmetic/LESS_OR_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_lt_mono_pos_l'#@#variant 'h4/thm/transc/RPOW_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_neg_neg'#@#variant 'h4/thm/extreal/le_mul_neg_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_succ_lt_mono' 'h4/thm/arithmetic/LESS_MONO_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mod_1_l'#@#variant 'h4/thm/arithmetic/ZERO_DIV_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_nonneg' 'h4/thm/prim_rec/LESS_0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_lor' 'h4/thm/transc/EXP_SUB_'
0. 'coq/Coq_Reals_RIneq_Rlt_or_le' 'h4/thm/real/REAL_LET_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lcm_diag' 'h4/thm/extreal/min_refl_'
0. 'coq/Coq_ZArith_BinInt_Z_quot_same'#@#variant 'h4/thm/integer/INT_QUOT_ID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_lt_lin'#@#variant 'h4/thm/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_mul_lt_mono_l' 'h4/thm/real/REAL_LT_LADD_'
0. 'coq/Coq_Reals_ROrderedType_ROrder_lt_irrefl' 'h4/thm/integer/TINT_LT_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_neq_succ_diag_l' 'h4/thm/prim_rec/SUC_ID_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_opp_r' 'h4/thm/HolSmt/r224_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_opp_opp' 'h4/thm/extreal/neg_mul2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_1' 'h4/thm/integer/INT_NEG_0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftl_1_l'#@#variant 'h4/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_1_mul_pos'#@#variant 'h4/thm/real/REAL_LTE_ADD_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_min_le_iff' 'h4/thm/arithmetic/MIN_LE_0'
0. 'coq/Coq_MMaps_MMapPositive_PositiveMap_lt_rev_append' 'h4/thm/integer/INT_LT_LADD_IMP_'
0. 'coq/Coq_PArith_BinPos_Pos_gt_lt_iff' 'h4/thm/integer/int_gt_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_incr' 'h4/thm/extreal/extreal_abs_def_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_le_mono' 'h4/thm/integer/TINT_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_nlt' 'h4/thm/real/REAL_NOT_LT_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_pos_cancel_r'#@#variant 'h4/thm/real/REAL_LT_RMUL_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_add_r' 'h4/thm/extreal/le_max1_'
0. 'coq/Coq_Init_Peano_le_n_S' 'h4/thm/transc/EXP_MONO_IMP_'
0. 'coq/Coq_ZArith_Zlogarithm_Zlog2_up_log_sup' 'h4/thm/integerRing/int_ring_thms_e17'#@#variant
0. 'coq/Coq_QArith_Qabs_Qabs_wd' 'h4/thm/hrat/TRAT_INV_WELLDEFINED_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_le_mono_l' 'h4/thm/extreal/le_radd_imp_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_le_mono_l' 'h4/thm/integer/INT_LE_LADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_involutive' 'h4/thm/integer/INT_DIV_CALCULATE_e4'
0. 'coq/Coq_NArith_BinNat_N_succ_le_mono' 'h4/thm/arithmetic/LESS_EQ_MONO_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_le_compat_l' 'h4/thm/integer/INT_LT_LADD_IMP_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_le_mono' 'h4/thm/numeral/numeral_lte_3'
0. 'coq/Coq_NArith_BinNat_N_add_sub' 'h4/thm/complex/COMPLEX_SUB_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_nonneg_r'#@#variant 'h4/thm/arithmetic/DIV_LE_MONOTONE_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_le_iff' 'h4/thm/arithmetic/MIN_LE_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_testbit_even_0'#@#variant 'h4/thm/toto/num_dtOrd_3'
0. 'coq/Coq_ZArith_BinInt_Z_le_max_r' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_1'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_glb_lt_iff' 'h4/thm/arithmetic/MIN_LE_e1'
0. 'coq/Coq_QArith_QArith_base_Qle_lt_trans' 'h4/thm/extreal/let_trans_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div2_div'#@#variant 'h4/thm/arithmetic/ADD1_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_le_0_sub'#@#variant 'h4/thm/extreal/sub_zero_le_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_nonneg_nonneg' 'h4/thm/realax/TREAL_LT_MUL_'#@#variant
0. 'coq/Coq_ZArith_Zlogarithm_log_inf_correct1'#@#variant 'h4/thm/real/POW_2_LE1_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_comm' 'h4/thm/hrat/TRAT_ADD_SYM_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_nonneg_pos'#@#variant 'h4/thm/real/REAL_LET_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_nonneg' 'h4/thm/divides/ZERO_LT_PRIMES_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_lxor_l' 'h4/thm/real/REAL_MUL_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_succ_l' 'h4/thm/integer/INT_MUL_CALCULATE_1'
0. 'coq/Coq_ZArith_Znat_inj_gt' 'h4/thm/realax/TREAL_ISO_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_le_lin'#@#variant 'h4/thm/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_lub_lt' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_e2'
0. 'coq/Coq_PArith_BinPos_Pos_succ_le_mono' 'h4/thm/arithmetic/LESS_EQ_MONO_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_total' 'h4/thm/real/REAL_LT_TOTAL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_le_incl' 'h4/thm/extreal/lt_imp_le_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_even_opp' 'h4/thm/complex/MODU_NEG_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftl_1_l'#@#variant 'h4/thm/numeral/texp_help_def_0'
0. 'coq/Coq_Arith_PeanoNat_Nat_land_diag' 'h4/thm/arithmetic/MAX_IDEM_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_involutive' 'h4/thm/integer/INT_MOD_CALCULATE_2'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_succ' 'h4/thm/numeral_bit/numeral_ilog2_1'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_pred_inj_wd' 'h4/thm/complex/COMPLEX_EQ_NEG_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_log2' 'h4/thm/complex/COMPLEX_OF_REAL_INV_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_succ_le_mono' 'h4/thm/numeral/numeral_distrib_28'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_r' 'h4/thm/real/REAL_MAX_ALT_0'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_lt_mono_l' 'h4/thm/hreal/HRAT_LT_LMUL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_lxor_l' 'h4/thm/arithmetic/ADD_e1'
0. 'coq/Coq_ZArith_Zorder_Zle_0_nat'#@#variant 'h4/thm/extreal/le_num_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_0_succ' 'h4/thm/divides/ZERO_LT_PRIMES_'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_le_mono' 'h4/thm/numpair/tri_LT_I_'
0. 'coq/__constr_Coq_Sets_Finite_sets_cardinal_0_1' 'h4/thm/llist/llength_rel_rules_0'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_pred_succ' 'h4/thm/numeral_bit/NUMERAL_iDIV2_2'
0. 'coq/Coq_ZArith_Znat_Z2Nat_inj_neg' 'h4/thm/DeepSyntax/deep_form_size_def_4'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_factor_l' 'h4/thm/arithmetic/LESS_EQ_ADD_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_divide_lcm_r' 'h4/thm/real/REAL_LE_MAX2_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_double'#@#variant 'h4/thm/util_prob/lg_inv_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_id' 'h4/thm/frac/frac_bij_0'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lnot_ones' 'h4/thm/integer/INT_ADD_LINV_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_divide_mono_r' 'h4/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_neq' 'h4/thm/integer/INT_LT_IMP_NE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_nonneg'#@#variant 'h4/thm/real/REAL_LE_MUL2_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_compare_xI_xI' 'h4/thm/quote/index_compare_def_7'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_divide_mul_r' 'h4/thm/integer/INT_DIVIDES_RMUL_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_1_r' 'h4/thm/integer/INT_SUB_RZERO_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_succ_l' 'h4/thm/arithmetic/ADD_CLAUSES_2'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_le_mono' 'h4/thm/divides/LT_PRIMES_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_nge' 'h4/thm/real/real_lte_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_lt_trans' 'h4/thm/arithmetic/LESS_EQ_LESS_TRANS_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_cancel_r' 'h4/thm/real/REAL_EQ_RADD_'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_div2' 'h4/thm/complex/COMPLEX_OF_REAL_NEG_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div_pos'#@#variant 'h4/thm/extreal/lte_add_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_0_l'#@#variant 'h4/thm/transc/ONE_RPOW_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_nonneg' 'h4/thm/arithmetic/FACT_LESS_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_neq_0_succ' 'h4/thm/quote/index_distinct_e2'
0. 'coq/Coq_NArith_BinNat_N_min_glb' 'h4/thm/divides/DIVIDES_ADD_1_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_le_mono' 'h4/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_antisymm' 'h4/thm/divides/DIVIDES_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_1_l' 'h4/thm/extreal/mul_lzero_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_le_mono_nonneg_l'#@#variant 'h4/thm/arithmetic/EXP_BASE_LEQ_MONO_IMP_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_lt' 'h4/thm/real/REAL_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_nle_gt' 'h4/thm/real/REAL_NOT_LT_'
0. 'coq/Coq_NArith_BinNat_N_lt_add_lt_sub_r' 'h4/thm/real/REAL_LT_SUB_RADD_'
0. 'coq/Coq_Reals_RIneq_Rlt_irrefl' 'h4/thm/realax/REAL_LT_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_divide_mono_r' 'h4/thm/hrat/TRAT_MUL_WELLDEFINED_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_ldiff_ldiff_l' 'h4/thm/arithmetic/SUB_RIGHT_SUB_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_lub' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_e2'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_pred_le' 'h4/thm/arithmetic/OR_LESS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_add_lt_sub_r' 'h4/thm/integer/INT_LE_SUB_LADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_double_spec'#@#variant 'h4/thm/extreal/inv_1over_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sgn_null_iff' 'h4/thm/integer/INT_ABS_EQ0_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_nonneg_nonneg' 'h4/thm/binary_ieee/le2_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ldiff_diag' 'h4/thm/rat/RAT_SUB_ID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_pos'#@#variant 'h4/thm/real/REAL_LE_INV_EQ_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div2_div'#@#variant 'h4/thm/arithmetic/ADD1_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_lt_mono_pos_l'#@#variant 'h4/thm/arithmetic/EXP_BASE_LT_MONO_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rmult_lt_reg_r'#@#variant 'h4/thm/float/REAL_LT_RCANCEL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_lt_mono' 'h4/thm/numeral/numeral_lt_4'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_ngt' 'h4/thm/real/real_lt_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_is_nonneg'#@#variant 'h4/thm/real/POW_2_LE1_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_odd' 'h4/thm/ieee/Exponent_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_le_mono' 'h4/thm/integerRing/int_rewrites_tLRRRLRRRR'
0. 'coq/Coq_ZArith_BinInt_Z_divide_factor_l' 'h4/thm/real/REAL_LE_MAX1_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_incr_twice_plus_one' 'h4/thm/transc/EXP_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_refl' 'h4/thm/poly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_le_mono' 'h4/thm/hrat/TRAT_INV_WELLDEFINED_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_divide_mono_l' 'h4/thm/realax/REAL_LT_IADD_'
0. 'coq/Coq_Reals_Rtrigo_calc_cos_PI3'#@#variant 'h4/thm/divides/PRIMES_def_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_move_r' 'h4/thm/integer/INT_EQ_SUB_LADD_'
0. 'coq/Coq_Reals_Rfunctions_Rpow_mult_distr' 'h4/thm/extreal/pow_mul_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_cancel_l' 'h4/thm/hreal/HRAT_EQ_LADD_'
0. 'coq/Coq_ZArith_Znat_inj_ge' 'h4/thm/realax/TREAL_ISO_'#@#variant
0. 'coq/Coq_Strings_Ascii_ascii_N_embedding' 'h4/thm/ieee/float_tybij_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_negb_odd' 'h4/thm/frac/frac_sgn_def_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_pred' 'h4/thm/transc/ATN_TAN_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_sub_le_add_r' 'h4/thm/integer/INT_LT_SUB_RADD_'
0. 'coq/Coq_PArith_BinPos_Pos_succ_lt_mono' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Sets_Powerset_facts_Union_associative' 'h4/thm/llist/LAPPEND_ASSOC_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lor_eq_0_iff' 'h4/thm/arithmetic/ADD_EQ_0_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_1_l' 'h4/thm/rat/RAT_SUB_LID_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lcm_eq_0' 'h4/thm/extreal/entire_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lxor_eq_0_iff' 'h4/thm/arithmetic/ABS_DIFF_EQ_0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_testbit_even_0'#@#variant 'h4/thm/quote/index_compare_def_4'
0. 'coq/Coq_Reals_RIneq_Rinv_mult_distr' 'h4/thm/real/REAL_INV_MUL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_neg_xO'#@#variant 'h4/thm/extreal/extreal_ainv_def_e2'
0. 'coq/Coq_ZArith_Znat_N2Z_id' 'h4/thm/string_num/s2n_n2s_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_shiftl_mul_pow2'#@#variant 'h4/thm/integer/int_sub_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_le_incl' 'h4/thm/rat/RAT_LES_IMP_LEQ_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_irrefl' 'h4/thm/realax/REAL_LT_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_1_l' 'h4/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_Reals_RIneq_Ropp_Ropp_IZR' 'h4/thm/quote/index_size_def_1'#@#variant
0. 'coq/Coq_ZArith_Znumtheory_not_prime_0' 'h4/thm/numeral/numeral_distrib_34'
0. 'coq/Coq_Reals_Rminmax_R_min_glb_iff' 'h4/thm/arithmetic/MIN_LE_e1'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_compare_succ_succ' 'h4/thm/quote/index_compare_def_5'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pred_le_mono' 'h4/thm/bit/TWOEXP_MONO2_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zsucc_gt_compat' 'h4/thm/integer/TINT_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_add_cancel_r' 'h4/thm/real/REAL_EQ_RADD_'
0. 'coq/Coq_Reals_RIneq_Ropp_0_le_ge_contravar'#@#variant 'h4/thm/transc/EXP_LT_1_'#@#variant
0. 'coq/Coq_QArith_Qminmax_Q_min_le_compat_r' 'h4/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_eqb_eq' 'h4/thm/quote/compare_index_equal_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_odd_1' 'h4/thm/ieee/Plus_infinity_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_antisymm' 'h4/thm/arithmetic/LESS_EQUAL_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_glb_iff' 'h4/thm/arithmetic/MIN_LT_e1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mod_1_l'#@#variant 'h4/thm/arithmetic/ONE_MOD_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_w2_spec' 'h4/thm/integerRing/int_ring_thms_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_1_r' 'h4/thm/real/REAL_SUB_RZERO_'
0. 'coq/Coq_ZArith_BinInt_Z_succ_pred' 'h4/thm/transc/LN_EXP_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_quot_1_r' 'h4/thm/HolSmt/r223_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_lt_mono_pos_l'#@#variant 'h4/thm/logroot/LT_EXP_ISO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_1_l'#@#variant 'h4/thm/integer/INT_SUB_REDUCE_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_r' 'h4/thm/real/REAL_MIN_ALT_e1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_lt_mono_nonneg'#@#variant 'h4/thm/real/REAL_LE_MUL2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_opp_r' 'h4/thm/complex/complex_div_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_nle_succ_0' 'h4/thm/integer/INT_ABS_LT0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_trichotomy' 'h4/thm/real/REAL_LT_TOTAL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_cancel_l' 'h4/thm/rat/RAT_EQ_LADD_'
0. 'coq/Coq_Arith_Plus_plus_lt_compat_r' 'h4/thm/integer/TINT_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lcm_1_l' 'h4/thm/HolSmt/r128_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gt_lt_iff' 'h4/thm/string/string_ge_def_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftr_opp_r' 'h4/thm/complex/complex_div_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_nle_gt' 'h4/thm/arithmetic/NOT_LESS_EQUAL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_neq' 'h4/thm/prim_rec/NOT_LESS_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_quot_le_mono'#@#variant 'h4/thm/arithmetic/DIV_LE_MONOTONE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_id' 'h4/thm/extreal/max_refl_'
0. 'coq/Coq_QArith_QOrderedType_QOrder_lt_irrefl' 'h4/thm/string/string_lt_nonrefl_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_min_l' 'h4/thm/extreal/min_le1_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_sub_lt_add_r' 'h4/thm/arithmetic/SUB_LEFT_GREATER_EQ_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_le_compat_l' 'h4/thm/realax/REAL_LT_IADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_greatest' 'h4/thm/divides/DIVIDES_SUB_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mod_same' 'h4/thm/integer/INT_REM_ID_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rmax_l' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_asymm' 'h4/thm/hreal/HRAT_LT_ANTISYM_'
0. 'coq/Coq_NArith_BinNat_N_neq_succ_diag_r' 'h4/thm/prim_rec/SUC_ID_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_refl' 'h4/thm/rat/RAT_EQUIV_REF_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lcm_1_l'#@#variant 'h4/thm/integer/INT_SUB_REDUCE_1'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_w5_spec' 'h4/thm/numRing/num_ring_thms_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_clearbit_spec_prime'#@#variant 'h4/thm/complex/COMPLEX_SUB_RNEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_pred' 'h4/thm/numRing/num_rewrites_tRRLRRR'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_lt_add_r' 'h4/thm/integer/INT_DIVIDES_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_cancel_l' 'h4/thm/integer/EQ_LADD_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_lt' 'h4/thm/realax/REAL_ISO_EQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_1_r' 'h4/thm/integer/INT_SUB_REDUCE_0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_neq_succ_0' 'h4/thm/transc/EXP_NZ_'#@#variant
0. 'coq/Coq_QArith_Qabs_Qle_Qabs' 'h4/thm/divides/INDEX_LESS_PRIMES_'
0. 'coq/Coq_NArith_BinNat_N_clearbit_spec_prime'#@#variant 'h4/thm/rat/RAT_SUB_ADDAINV_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_nonneg' 'h4/thm/prim_rec/LESS_0_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_le' 'h4/thm/real/REAL_LT_'
0. 'coq/Coq_NArith_BinNat_N_neq_0_lt_0'#@#variant 'h4/thm/arithmetic/NOT_ZERO_LT_ZERO_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sub_lt_mono_r' 'h4/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_QArith_QArith_base_Qplus_le_r' 'h4/thm/arithmetic/ADD_MONO_LESS_EQ_'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_succ_r_prime' 'h4/thm/arithmetic/MULT_SUC_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_glb_lt' 'h4/thm/divides/DIVIDES_ADD_1_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_pred_l' 'h4/thm/real/REAL_MUL_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_cancel_r' 'h4/thm/integer/INT_EQ_RADD_'
0. 'coq/Coq_ZArith_Zeven_Zeven_plus_Zodd' 'h4/thm/integer/INT_LET_ADD_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_factor_l' 'h4/thm/extreal/le_max1_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_rem_opp_l_prime' 'h4/thm/complex/COMPLEX_NEG_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_refl' 'h4/thm/real/REAL_LE_REFL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_inj_l' 'h4/thm/real/REAL_EQ_RMUL_IMP_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_le_mono_r_iff'#@#variant 'h4/thm/arithmetic/EXP_BASE_LE_MONO_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mod_1_l'#@#variant 'h4/thm/arithmetic/ONE_MOD_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_shuffle3' 'h4/thm/float/REAL_MUL_AC_e2'
0. 'coq/Coq_ZArith_BinInt_Z_Even_succ' 'h4/thm/numeral/numeral_distrib_21'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_cancel_r' 'h4/thm/arithmetic/EQ_MONO_ADD_EQ_'
0. 'coq/Coq_Init_Peano_plus_Sn_m' 'h4/thm/arithmetic/ADD_e1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_cancel_l' 'h4/thm/real/REAL_EQ_LMUL2_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_greatest' 'h4/thm/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_min_glb_iff' 'h4/thm/extreal/le_min_'
0. 'coq/Coq_Lists_List_incl_refl' 'h4/thm/Encode/biprefix_refl_'
0. 'coq/Coq_NArith_BinNat_N_neq_succ_diag_l' 'h4/thm/prim_rec/SUC_ID_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_lt_mono_l' 'h4/thm/arithmetic/ADD_MONO_LESS_EQ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_simpl_r' 'h4/thm/arithmetic/ADD_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_ge_cases' 'h4/thm/real/REAL_LE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lcm_eq_0' 'h4/thm/arithmetic/MULT_EQ_0_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sub_min_distr_l' 'h4/thm/transc/RPOW_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_le_mono_pos_r'#@#variant 'h4/thm/logroot/EXP_LE_ISO_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_even' 'h4/thm/complex/complex_of_num_'#@#variant
0. 'coq/Coq_Numbers_Cyclic_Int31_Ring31_Int31ring_eqb_eq' 'h4/thm/quote/index_lt_def_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_l' 'h4/thm/arithmetic/LESS_MOD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_max_l' 'h4/thm/integer/INT_DIVIDES_MUL_0'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_succ_lt_mono' 'h4/thm/integerRing/int_rewrites_tLRRRLRRRR'
0. 'coq/Coq_NArith_BinNat_N_pow_lt_mono_r_iff'#@#variant 'h4/thm/int_arith/justify_divides_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_clearbit_spec_prime'#@#variant 'h4/thm/extreal/extreal_div_def_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_divide_iff' 'h4/thm/integral/REAL_LT_MIN_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftl_mul_pow2'#@#variant 'h4/thm/rat/RAT_DIV_MULMINV_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pred_le_mono' 'h4/thm/prim_rec/LESS_MONO_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_le_mono' 'h4/thm/numeral/numeral_lt_3'
0. 'coq/Coq_ZArith_Znat_Nat2Z_id' 'h4/thm/num/num_ISO_DEF_0'
0. 'coq/Coq_Arith_PeanoNat_Nat_testbit_even_0'#@#variant 'h4/thm/quote/index_compare_def_4'
0. 'coq/Coq_PArith_BinPos_Pos_max_id' 'h4/thm/real/REAL_MAX_REFL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_add_cancel_r' 'h4/thm/poly/POLY_DIVIDES_SUB_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_lt_mono_r' 'h4/thm/arithmetic/LT_ADD_RCANCEL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_succ_diag_r' 'h4/thm/real/ABS_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_divide_iff' 'h4/thm/extreal/le_min_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_factor_r' 'h4/thm/hreal/HRAT_LT_ADDR_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_le_compat_r' 'h4/thm/arithmetic/LESS_MONO_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_ge_cases' 'h4/thm/arithmetic/LESS_EQ_CASES_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_le_compat_r' 'h4/thm/hrat/TRAT_ADD_WELLDEFINED_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_pred' 'h4/thm/string/EXPLODE_IMPLODE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_lt_mono' 'h4/thm/integerRing/int_rewrites_tLRRRLRRRR'
0. 'coq/Coq_Reals_Raxioms_R1_neq_R0' 'h4/thm/ieee/roundmode_distinct_e5'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_setbit_spec_prime'#@#variant 'h4/thm/complex/complex_sub_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_lteq' 'h4/thm/rat/rat_leq_def_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_lt_mono_r' 'h4/thm/integer/INT_LT_RADD_'
0. 'coq/Coq_ZArith_BinInt_Zpred_succ' 'h4/thm/string/IMPLODE_EXPLODE_'#@#variant
0. 'coq/Coq_Reals_Raxioms_Rlt_asym' 'h4/thm/arithmetic/LESS_ANTISYM_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_succ_max_distr' 'h4/thm/real/REAL_ABS_TRIANGLE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_succ_diag_r' 'h4/thm/prim_rec/LESS_SUC_REFL_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_even' 'h4/thm/rat/rat_dnm_def_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pred_div2_up' 'h4/thm/quote/index_size_def_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_pos_neg'#@#variant 'h4/thm/extreal/mul_lte_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_le_mono_l' 'h4/thm/rat/RAT_LES_LADD_'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_div2' 'h4/thm/extreal/extreal_exp_def_0'
0. 'coq/Coq_PArith_Pnat_SuccNat2Pos_inj_succ' 'h4/thm/toto/num_dt_size_def_e2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_lub_lt' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_e2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_inj_wd' 'h4/thm/integral/EQ_SUC_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_nge' 'h4/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_le_mono' 'h4/thm/integer/TINT_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_add_lt_sub_r' 'h4/thm/real/REAL_LT_SUB_LADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_total' 'h4/thm/integer/INT_LT_TOTAL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_nonneg_l'#@#variant 'h4/thm/extreal/le_lmul_imp_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sub_add_distr' 'h4/thm/arithmetic/SUB_RIGHT_SUB_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftr_div_pow2'#@#variant 'h4/thm/real/real_div_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_refl' 'h4/thm/rat/RAT_EQUIV_REF_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_lt_mono' 'h4/thm/numeral/numeral_lte_e6'
0. 'coq/Coq_Reals_Rminmax_R_max_le_compat_l' 'h4/thm/real/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_0_r' 'h4/thm/divides/ALL_DIVIDES_0_'
0. 'coq/Coq_ZArith_BinInt_Z_pred_le_mono' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_id' 'h4/thm/extreal/min_refl_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_irrefl' 'h4/thm/extreal/lt_refl_'
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_nonneg_l'#@#variant 'h4/thm/extreal/le_lmul_imp_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_rem_opp_l_prime' 'h4/thm/complex/COMPLEX_MUL_LNEG_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_max_le_compat_r' 'h4/thm/hrat/TRAT_ADD_WELLDEFINED_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_even' 'h4/thm/ieee/Exponent_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_sub_l' 'h4/thm/extreal/min_le1_'
0. 'coq/Coq_ZArith_BinInt_Z_clearbit_spec_prime'#@#variant 'h4/thm/complex/complex_div_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_0_r' 'h4/thm/arithmetic/LE_0'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_succ_not_1' 'h4/thm/toto/num_dt_distinct_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_cancel_r' 'h4/thm/integer/INT_EQ_RADD_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_le' 'h4/thm/realax/REAL_ISO_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_testbit_even_0'#@#variant 'h4/thm/quote/index_compare_def_3'
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_Zabs' 'h4/thm/quote/index_size_def_0'#@#variant
0. 'coq/Coq_Strings_Ascii_ascii_nat_embedding' 'h4/thm/extreal/real_normal_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gt_lt_iff' 'h4/thm/arithmetic/GREATER_EQ_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_neg_iff' 'h4/thm/integerRing/int_rewrites_tLRRRRRRRRL'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_nle_gt' 'h4/thm/real/real_lt_'
0. 'coq/Coq_NArith_BinNat_N_le_ge_cases' 'h4/thm/extreal/le_total_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_pos'#@#variant 'h4/thm/numeral/numeral_distrib_32'
0. 'coq/Coq_ZArith_Zlogarithm_Zlog2_log_inf' 'h4/thm/numRing/num_ring_thms_e17'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_div_1_r' 'h4/thm/integer/INT_SUB_RZERO_'
0. 'coq/Coq_Reals_Rfunctions_powerRZ_lt'#@#variant 'h4/thm/float/REAL_POW_LE_1_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftl_mul_pow2'#@#variant 'h4/thm/integer/INT_SUB_CALCULATE_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_l' 'h4/thm/real/REAL_MIN_ALT_0'
0. 'coq/Coq_QArith_Qreals_Q2R_opp' 'h4/thm/extreal/extreal_sqrt_def_0'
0. 'coq/Coq_ZArith_BinInt_Z_add_1_l'#@#variant 'h4/thm/extreal/inv_1over_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_glb_lt' 'h4/thm/divides/DIVIDES_ADD_1_'
0. 'coq/Coq_ZArith_BinInt_Z_mod_mul' 'h4/thm/integer/INT_REM_COMMON_FACTOR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_lt_mono_r' 'h4/thm/hreal/HRAT_LT_RADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_destr_t' 'h4/thm/arithmetic/ZERO_LESS_EQ_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_le_mono_l' 'h4/thm/integer/INT_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_add_le_sub_r' 'h4/thm/extreal/lt_sub_imp_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_le_mono_r' 'h4/thm/arithmetic/LESS_EQ_MONO_ADD_EQ_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_iff' 'h4/thm/integer/INT_MOD_CALCULATE_3'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_lt_mono_r' 'h4/thm/integer/INT_LT_RADD_'
0. 'coq/Coq_Reals_RIneq_Rminus_0_l' 'h4/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_1' 'h4/thm/real/REAL_NEG_0_'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_div2' 'h4/thm/rat/RAT_AINV_CALCULATE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_lteq' 'h4/thm/real/REAL_LE_LT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_divide_iff' 'h4/thm/arithmetic/MIN_LT_e1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_nonneg' 'h4/thm/transc/ATN_0'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_gt_lt_iff' 'h4/thm/rat/rat_geq_def_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_nle_gt' 'h4/thm/rat/RAT_LES_LEQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_1' 'h4/thm/transc/SIN_0_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_succ_le_mono' 'h4/thm/integerRing/int_rewrites_tLRRRLRRR'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_le_mono' 'h4/thm/prim_rec/LESS_MONO_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_xI_succ_xO' 'h4/thm/numeral/numeral_suc_1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_min_l' 'h4/thm/real/REAL_MIN_LE1_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_pred_l' 'h4/thm/numpair/invtri_le_'
0. 'coq/Coq_fourier_Fourier_util_Rfourier_lt'#@#variant 'h4/thm/logroot/ROOT_LE_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_succ_l' 'h4/thm/rat/RAT_AINV_LMUL_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_invc' 'h4/thm/DeepSyntax/deep_form_size_def_2'#@#variant
0. 'coq/Coq_NArith_BinNat_N_log2_le_mono' 'h4/thm/bit/TWOEXP_MONO2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_lteq' 'h4/thm/string/string_le_def_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_nonneg_nonneg' 'h4/thm/realax/TREAL_LT_MUL_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_1' 'h4/thm/integerRing/int_rewrites_tRRRRRRRRRRRRRL'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mod_0_l' 'h4/thm/integer/INT_QUOT_0_'#@#variant
0. 'coq/Coq_ZArith_Zdiv_Zdiv_opp_opp' 'h4/thm/arithmetic/SUB_MONO_EQ_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_inj_wd' 'h4/thm/numRing/num_rewrites_tLRRRRRRLR'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_cancel_l' 'h4/thm/hreal/HRAT_EQ_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_add_le_sub_r' 'h4/thm/rat/RAT_RSUB_LES_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_sub_le_add_l' 'h4/thm/arithmetic/SUB_RIGHT_GREATER_'
0. 'coq/Coq_NArith_BinNat_N_max_lub_lt_iff' 'h4/thm/arithmetic/MAX_LT_e1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_add_le_sub_r' 'h4/thm/integer/INT_LT_SUB_LADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_clearbit_spec_prime'#@#variant 'h4/thm/extreal/sub_rneg_'
0. 'coq/Coq_Reals_RIneq_Ropp_involutive' 'h4/thm/extreal/neg_neg_'
0. 'coq/Coq_ZArith_BinInt_Z_gcd_eq_0' 'h4/thm/arithmetic/ADD_EQ_0_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_negb_even' 'h4/thm/util_prob/lg_pow_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftr_opp_r' 'h4/thm/HolSmt/r224_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_succ_lt_mono' 'h4/thm/integerRing/int_rewrites_tLRRRLRRRR'
0. 'coq/Coq_PArith_BinPos_Pos_le_refl' 'h4/thm/integer/TINT_EQ_REFL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_opp_pos_neg'#@#variant 'h4/thm/integer/INT_NEG_GE0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_glb_lt' 'h4/thm/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_lt_mono_r'#@#variant 'h4/thm/logroot/ROOT_LE_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_divide_iff' 'h4/thm/extreal/le_min_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_lt_mono' 'h4/thm/numeral/numeral_lt_3'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_1_l' 'h4/thm/integer/INT_SUB_LZERO_'
0. 'coq/__constr_Coq_Lists_List_NoDup_0_1' 'h4/thm/patricia/EMPTY_IS_PTREE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_eq_opp_r' 'h4/thm/real/REAL_NEG_EQ_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_lt_mono_neg_r' 'h4/thm/rat/RAT_LES_RMUL_NEG_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftr_div_pow2'#@#variant 'h4/thm/frac/frac_div_def_'
0. 'coq/Coq_Arith_PeanoNat_Nat_div2_double'#@#variant 'h4/thm/transc/ATN_e2'
0. 'coq/Coq_Reals_Rtrigo1_sin_minus' 'h4/thm/transc/SIN_ADD_'
0. 'coq/Coq_PArith_BinPos_Pos_succ_pred_double' 'h4/thm/numeral_bit/NUMERAL_iDIV2_4'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_nlt' 'h4/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_NArith_BinNat_N_le_succ_diag_r' 'h4/thm/divides/INDEX_LESS_PRIMES_'
0. 'coq/Coq_QArith_QArith_base_Qplus_lt_r' 'h4/thm/real/REAL_LT_LADD_'
0. 'coq/Coq_Reals_R_sqrt_sqrt_positivity'#@#variant 'h4/thm/real/REAL_LE_INV_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gt_lt_iff' 'h4/thm/string/string_ge_def_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_add_r'#@#variant 'h4/thm/util_prob/logr_mul_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_Even_succ' 'h4/thm/binary_ieee/exp_ge2_'#@#variant
0. 'coq/Coq_setoid_ring_RealField_Rdef_pow_add' 'h4/thm/complex/COMPLEX_SCALAR_RMUL_ADD_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Zpos_eq_iff' 'h4/thm/string_num/n2s_11_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_pred_le_mono' 'h4/thm/integerRing/int_rewrites_tLRRRLRRRR'
0. 'coq/Coq_Reals_Rtrigo1_cos_neg' 'h4/thm/numRing/num_rewrites_tLRRRRRRLRRRR'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_lt_mono' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div_1_r' 'h4/thm/real/REAL_SUB_RZERO_'
0. 'coq/Coq_PArith_BinPos_Pos_compare_succ_succ' 'h4/thm/toto/numeralOrd_5'
0. 'coq/Coq_Reals_Rminmax_R_max_lub_lt' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_e2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_lteq' 'h4/thm/extreal/le_lt_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_sub_le_add_r' 'h4/thm/real/REAL_LE_SUB_RADD_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_add_lt_sub_r' 'h4/thm/integer/INT_LE_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_add_diag_r' 'h4/thm/extreal/le_max1_'
0. 'coq/Coq_Reals_Rfunctions_powerRZ_lt'#@#variant 'h4/thm/real/REAL_POW_LT_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_ngt' 'h4/thm/real/REAL_NOT_LT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_succ_l' 'h4/thm/complex/COMPLEX_NEG_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_glb_lt' 'h4/thm/divides/DIVIDES_ADD_1_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_xI_succ_xO' 'h4/thm/numRing/num_rewrites_tLRLRR'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_add_cancel_r' 'h4/thm/poly/POLY_DIVIDES_SUB_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_pred_l' 'h4/thm/numpair/nsnd_le_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pred_succ' 'h4/thm/bit/LOG2_TWOEXP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_eq_opp_l' 'h4/thm/real/REAL_NEG_EQ_'
0. 'coq/Coq_NArith_BinNat_N_mul_pos_pos' 'h4/thm/arithmetic/LESS_MULT2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_divide_cancel_l' 'h4/thm/integer/INT_DIVIDES_MUL_BOTH_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_double'#@#variant 'h4/thm/util_prob/neg_lg_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_irrefl' 'h4/thm/realax/TREAL_LT_REFL_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_log2' 'h4/thm/toto/num_dt_size_def_1'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_lt_mono' 'h4/thm/numeral/numeral_lte_3'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_1_l' 'h4/thm/integer/INT_SUB_LZERO_'
0. 'coq/Coq_ZArith_BinInt_Z_succ_lt_mono' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lcm_eq_0' 'h4/thm/intExtension/INT_NO_ZERODIV_'#@#variant
0. 'coq/Coq_Numbers_Cyclic_DoubleCyclic_DoubleBase_lt_0_wB'#@#variant 'h4/thm/real/POW_2_LE1_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_le_0_r' 'h4/thm/arithmetic/LESS_EQ_0_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_lt_mono_l' 'h4/thm/integer/INT_LT_LADD_'
0. 'coq/Coq_Reals_RIneq_Ropp_0_ge_le_contravar'#@#variant 'h4/thm/transc/LN_POS_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_neq' 'h4/thm/real/REAL_LT_IMP_NE_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_of_Z' 'h4/thm/realax/TREAL_BIJ_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_id' 'h4/thm/real/REAL_MAX_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_nle_gt' 'h4/thm/HolSmt/r115_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pred_le_mono' 'h4/thm/real/REAL_POS_MONO_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_0_r' 'h4/thm/arithmetic/ADD1_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_le_trans' 'h4/thm/rat/RAT_LES_LEQ_TRANS_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_le_mono_l' 'h4/thm/integer/INT_LE_LADD_'
0. 'coq/Coq_Reals_Rfunctions_pow_lt'#@#variant 'h4/thm/extreal/pow_pos_lt_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zplus_le_compat_r' 'h4/thm/integer/TINT_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div_1_r' 'h4/thm/integer/INT_SUB_REDUCE_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_double'#@#variant 'h4/thm/util_prob/neg_lg_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_nle_gt' 'h4/thm/real/real_lt_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_max_l' 'h4/thm/arithmetic/LESS_EQ_ADD_'
0. 'coq/Coq_ZArith_Znat_positive_nat_Z' 'h4/thm/ieee/Exponent_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_divide_sub_r' 'h4/thm/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_glb_lt_iff' 'h4/thm/integral/REAL_LT_MIN_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_le_mono_l' 'h4/thm/integer/INT_LT_LADD_'
0. 'coq/Coq_ZArith_BinInt_Z_lor_lnot_diag'#@#variant 'h4/thm/hreal/HRAT_MUL_RINV_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_cancel_r' 'h4/thm/arithmetic/EQ_ADD_RCANCEL_'
0. 'coq/Coq_ZArith_BinInt_Z_quot_0_l' 'h4/thm/integer/INT_DIV_0_'#@#variant
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_lt_not_gt' 'h4/thm/integer/INT_LT_ANTISYM_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_1' 'h4/thm/transc/SIN_0_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_pos' 'h4/thm/realax/REAL_POS_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_lt_mono_l_iff' 'h4/thm/int_arith/INT_DIVIDES_LRMUL_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_max_id' 'h4/thm/extreal/max_refl_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_succ_le_mono' 'h4/thm/numpair/tri_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_pos_neg'#@#variant 'h4/thm/extreal/mul_lt_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_max_lt_iff' 'h4/thm/arithmetic/MAX_LE_0'
0. 'coq/Coq_NArith_BinNat_N_ldiff_ldiff_l' 'h4/thm/arithmetic/EXP_EXP_MULT_'
0. 'coq/Coq_ZArith_BinInt_Z_ge_le_iff' 'h4/thm/arithmetic/GREATER_EQ_'
0. 'coq/Coq_ZArith_Znat_Zabs2Nat_inj_le'#@#variant 'h4/thm/float/FLOAT_LT_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_le_mono' 'h4/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_lt_mono_r' 'h4/thm/arithmetic/LESS_MONO_ADD_EQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_le_mono_r_iff'#@#variant 'h4/thm/real/REAL_LE_LMUL_'#@#variant
0. 'coq/Coq_Reals_Exp_prop_exp_pos' 'h4/thm/transc/ATN_0'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_1_l' 'h4/thm/HolSmt/r213_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_divide_mono_r' 'h4/thm/integer/TINT_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_id' 'h4/thm/binary_ieee/num2float_compare_float_compare2num_'
0. 'coq/Coq_PArith_BinPos_Pos_mul_lt_mono_l' 'h4/thm/arithmetic/LT_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_le_mono' 'h4/thm/prim_rec/LESS_MONO_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_pos_cancel_r'#@#variant 'h4/thm/real/REAL_LT_RDIV_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sub_diag' 'h4/thm/rat/RAT_SUB_ID_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lnot_lxor_r' 'h4/thm/numpair/napp_thm_e1'
0. 'coq/Coq_Reals_Rpower_arcsinh_sinh' 'h4/thm/bit/LOG2_TWOEXP_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zeq_plus_swap' 'h4/thm/rat/RAT_RSUB_EQ_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_succ' 'h4/thm/extreal/extreal_exp_def_0'
0. 'coq/Coq_QArith_Qcanon_Q_apart_0_1'#@#variant 'h4/thm/ieee/roundmode_distinct_3'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_le_mono_r' 'h4/thm/rat/RAT_LES_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_1_r' 'h4/thm/HolSmt/r127_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_nonneg_pos'#@#variant 'h4/thm/real/REAL_LET_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_le_mono_l' 'h4/thm/hrat/TRAT_MUL_WELLDEFINED_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_id' 'h4/thm/real/REAL_MAX_REFL_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_lt_iff' 'h4/thm/real/REAL_MIN_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_irrefl' 'h4/thm/prim_rec/LESS_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_lt_trans' 'h4/thm/arithmetic/LESS_EQ_LESS_TRANS_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_irrefl' 'h4/thm/integer/TINT_LT_REFL_'#@#variant
0. 'coq/Coq_Reals_Rfunctions_Rpow_mult_distr' 'h4/thm/complex/COMPLEX_POW_DIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_le_mono_pos_r'#@#variant 'h4/thm/logroot/EXP_LT_ISO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_opp_r' 'h4/thm/integer/INT_SUB_CALCULATE_'
0. 'coq/Coq_Reals_ROrderedType_R_as_OT_le_lteq' 'h4/thm/integer/INT_LE_LT_'
0. 'coq/Coq_QArith_QArith_base_Qnot_lt_le' 'h4/thm/real/REAL_LTE_TOTAL_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_phi' 'h4/thm/patricia_casts/num_to_string_string_to_num_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lnot_0_l' 'h4/thm/integer/INT_SUB_REDUCE_1'#@#variant
0. 'coq/Coq_Reals_Rprod_le_n_2n'#@#variant 'h4/thm/numpair/tri_le_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_nle_gt' 'h4/thm/real/REAL_NOT_LT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_irrefl' 'h4/thm/extreal/lt_refl_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_divide_mono_r' 'h4/thm/integer/TINT_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_add_lt_sub_r' 'h4/thm/integer/INT_LT_ADD_SUB_'
0. 'coq/Coq_ZArith_BinInt_Z_add_1_l' 'h4/thm/HolSmt/r221_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_max_l' 'h4/thm/real/REAL_LE_MAX1_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_compare_xI_xI' 'h4/thm/quote/index_compare_def_5'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_bounded/0'#@#variant 'h4/thm/complex/MODU_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_rem_opp_l_prime' 'h4/thm/rat/RAT_AINV_LMUL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div_pos'#@#variant 'h4/thm/integer/INT_LTE_ADD_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_refl' 'h4/thm/hrat/TRAT_EQ_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_le_compat_l' 'h4/thm/real/REAL_LT_IADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pos_pred_succ' 'h4/thm/toto/cpn_BIJ_0'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_iff' 'h4/thm/DeepSyntax/deep_form_11_6'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_gt_lt_iff' 'h4/thm/string/string_gt_def_'#@#variant
0. 'coq/Coq_ZArith_Znat_positive_nat_N' 'h4/thm/ieee/Exponent_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_pos_nonneg'#@#variant 'h4/thm/integer/INT_LTE_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_ge_le_iff' 'h4/thm/rat/rat_gre_def_'
0. 'coq/Coq_NArith_BinNat_N_odd_1' 'h4/thm/ieee/Minus_infinity_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mod_0_l' 'h4/thm/integer/INT_REM0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lxor_m1_r'#@#variant 'h4/thm/arithmetic/DIV2_def_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pow_lt_mono_r_iff'#@#variant 'h4/thm/real/REAL_LE_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_mul_r' 'h4/thm/arithmetic/EXP_EXP_MULT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_irrefl' 'h4/thm/realax/HREAL_LT_REFL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_glb_lt_iff' 'h4/thm/arithmetic/MIN_LT_e1'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_bounded/0'#@#variant 'h4/thm/integer/INT_POS_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_le_mono_l' 'h4/thm/arithmetic/LT_ADD_LCANCEL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_lt_mono_r' 'h4/thm/arithmetic/LE_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_involutive' 'h4/thm/integerRing/int_calculate_12'
0. 'coq/Coq_Bool_Bool_negb_xorb_r' 'h4/thm/arithmetic/ADD_SUC_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_land_lnot_diag' 'h4/thm/hreal/HRAT_MUL_RINV_'
0. 'coq/Coq_NArith_BinNat_N_land_diag' 'h4/thm/gcd/GCD_REF_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_add_le' 'h4/thm/real/REAL_ABS_TRIANGLE_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_cancel_r' 'h4/thm/rat/RAT_EQ_RADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_glb_lt' 'h4/thm/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lt_sub_lt_add_r' 'h4/thm/extreal/le_sub_imp_'
0. 'coq/Coq_ZArith_BinInt_Z_succ_inj' 'h4/thm/num/INV_SUC_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_irrefl' 'h4/thm/realax/HREAL_LT_REFL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_nonneg_pos'#@#variant 'h4/thm/extreal/let_add_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_sub_succ' 'h4/thm/complex/COMPLEX_NEG_MUL2_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_div_same'#@#variant 'h4/thm/integer/INT_QUOT_ID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lor_diag' 'h4/thm/arithmetic/MAX_IDEM_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_0_succ' 'h4/thm/prim_rec/LESS_0_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_clearbit_spec_prime'#@#variant 'h4/thm/integer/int_sub_'
0. 'coq/Coq_NArith_BinNat_N_pow_le_mono_r_iff'#@#variant 'h4/thm/int_arith/lt_justify_multiplication_'#@#variant
0. 'coq/Coq_ZArith_Zquot_Z_quot_pos' 'h4/thm/realax/TREAL_LT_MUL_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_pred_succ' 'h4/thm/numeral/numeral_add_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_lt_mono_pos_l'#@#variant 'h4/thm/integer/INT_LT_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_sub_le_add_r' 'h4/thm/real/REAL_LE_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_pred' 'h4/thm/numeral_bit/numeral_ilog2_e2'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_max_lt_iff' 'h4/thm/arithmetic/MAX_LT_0'
0. 'coq/Coq_ZArith_BinInt_Z_rem_small'#@#variant 'h4/thm/integer/INT_LESS_MOD_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_succ_l' 'h4/thm/complex/COMPLEX_MUL_LNEG_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_max_lub_lt_iff' 'h4/thm/arithmetic/MAX_LT_e1'
0. 'coq/Coq_Reals_RIneq_Rplus_opp_l' 'h4/thm/bit/SUC_SUB_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_rem_1_l'#@#variant 'h4/thm/transc/ONE_RPOW_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_add_le_sub_r' 'h4/thm/arithmetic/SUB_LEFT_GREATER_EQ_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_factor_r' 'h4/thm/extreal/le_max2_'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_le_neq' 'h4/thm/hreal/HREAL_LT_TOTAL_'
0. 'coq/Coq_Reals_Rtrigo_calc_deg_rad' 'h4/thm/transc/ATN_e2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_le_incl' 'h4/thm/rat/RAT_LES_IMP_LEQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_greatest' 'h4/thm/divides/DIVIDES_SUB_'
0. 'coq/Coq_Lists_List_length_zero_iff_nil' 'h4/thm/quantHeuristics/LIST_LENGTH_7_98'
0. 'coq/Coq_Arith_PeanoNat_Nat_max_lub_iff' 'h4/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_0_sub'#@#variant 'h4/thm/rat/RAT_LES_0SUB_'#@#variant
0. 'coq/Coq_Arith_Lt_nat_total_order' 'h4/thm/realax/REAL_LT_TOTAL_'
0. 'coq/Coq_ZArith_BinInt_Zopp_mult_distr_l' 'h4/thm/arithmetic/PRE_SUB_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_nonneg'#@#variant 'h4/thm/real/REAL_LE_MUL2_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lcm_diag' 'h4/thm/extreal/max_refl_'
0. 'coq/Coq_PArith_Pnat_SuccNat2Pos_inj_iff' 'h4/thm/integer/INT_EQ_CALCULATE_0'
0. 'coq/Coq_ZArith_Znat_Zabs2N_inj_le'#@#variant 'h4/thm/float/FLOAT_GE_'
0. 'coq/Coq_Reals_Raxioms_Rlt_asym' 'h4/thm/hreal/HRAT_LT_GT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_opp_l' 'h4/thm/arithmetic/PRE_SUB_'
0. 'coq/Coq_QArith_Qcanon_Q_apart_0_1'#@#variant 'h4/thm/binary_ieee/float_compare_distinct_e5'
0. 'coq/Coq_Reals_Rbasic_fun_Rle_min_compat_r' 'h4/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_nonneg' 'h4/thm/arithmetic/FACT_LESS_'
0. 'coq/Coq_Reals_Ratan_Alt_PI_eq' 'h4/thm/arithmetic/ONE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_neq' 'h4/thm/prim_rec/NOT_LESS_EQ_'
0. 'coq/Coq_QArith_QOrderedType_QOrder_eq_refl' 'h4/thm/integer/INT_DIVIDES_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_shuffle3' 'h4/thm/HolSmt/r220_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mod_1_r'#@#variant 'h4/thm/numeral/numeral_distrib_11'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div2_div'#@#variant 'h4/thm/arithmetic/DIV2_def_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_divide_iff' 'h4/thm/extreal/le_min_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_lt_mono_l' 'h4/thm/arithmetic/LE_ADD_LCANCEL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_nonneg_nonneg' 'h4/thm/arithmetic/LESS_MULT2_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_land_diag' 'h4/thm/real/REAL_MAX_REFL_'
0. 'coq/Coq_NArith_Nnat_N2Nat_id' 'h4/thm/toto/num2cpn_cpn2num_'
0. 'coq/Coq_Bool_Bool_negb_involutive' 'h4/thm/integerRing/int_rewrites_tLRRRRRRRRRRRRL'
0. 'coq/Coq_ZArith_BinInt_Z_le_succ_diag_r' 'h4/thm/divides/INDEX_LESS_PRIMES_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_succ_lt_mono' 'h4/thm/numpair/tri_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_glb_lt_iff' 'h4/thm/extreal/le_min_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_invc' 'h4/thm/extreal/extreal_sqrt_def_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_clearbit_spec_prime'#@#variant 'h4/thm/rat/RAT_SUB_ADDAINV_'
0. 'coq/Coq_ZArith_BinInt_Z_setbit_spec_prime'#@#variant 'h4/thm/extreal/extreal_div_def_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_divide_mono_r' 'h4/thm/arithmetic/LESS_MONO_ADD_'
0. 'coq/Coq_QArith_Qcanon_Qclt_not_le' 'h4/thm/integer/INT_LET_ANTISYM_'
0. 'coq/Coq_NArith_BinNat_N_log2_le_mono' 'h4/thm/transc/EXP_MONO_IMP_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_even' 'h4/thm/rat/rat_sgn_def_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_le_mono' 'h4/thm/hrat/TRAT_INV_WELLDEFINED_'#@#variant
0. 'coq/Coq_Init_Peano_le_pred' 'h4/thm/hrat/TRAT_INV_WELLDEFINED_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_pos_l'#@#variant 'h4/thm/arithmetic/EXP_BASE_LE_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_succ_diag_r' 'h4/thm/arithmetic/LESS_EQ_SUC_REFL_'
0. 'coq/Coq_Arith_Gt_gt_irrefl' 'h4/thm/string/string_lt_nonrefl_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_clearbit_spec_prime'#@#variant 'h4/thm/extreal/extreal_div_def_'
0. 'coq/Coq_QArith_QOrderedType_QOrder_le_lt_trans' 'h4/thm/real/REAL_LET_TRANS_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_pred_l' 'h4/thm/bit/BIT_LOG2_'
0. 'coq/Coq_ZArith_BinInt_Z_quot_pos'#@#variant 'h4/thm/extreal/lte_add_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_gt_lt_iff' 'h4/thm/integer/int_gt_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pow_le_mono_r_iff'#@#variant 'h4/thm/real/REAL_LT_LMUL_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_pred_le_mono' 'h4/thm/numpair/tri_LT_I_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_lt_iff' 'h4/thm/real/REAL_LE_MAX_'
0. 'coq/Coq_Reals_Ratan_ps_atan_opp' 'h4/thm/float/REAL_ABS_INV_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_pos'#@#variant 'h4/thm/real/REAL_LE_INV_EQ_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_1_l' 'h4/thm/integer/INT_MUL_REDUCE_1'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_factor_l' 'h4/thm/extreal/le_max1_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_ge_cases' 'h4/thm/real/REAL_LE_TOTAL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_nge' 'h4/thm/real/REAL_NOT_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_succ_lt_mono' 'h4/thm/transc/EXP_MONO_LE_'
0. 'coq/Coq_ZArith_BinInt_Z_abs_nonneg' 'h4/thm/prim_rec/LESS_0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_lor' 'h4/thm/complex/COMPLEX_EXP_ADD_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_le_mono' 'h4/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_ngt' 'h4/thm/arithmetic/NOT_LESS_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_involutive' 'h4/thm/int_bitwise/int_not_not_'
0. 'coq/Coq_QArith_Qcanon_Qclt_le_trans' 'h4/thm/extreal/lte_trans_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_pos_nonneg'#@#variant 'h4/thm/arithmetic/ONE_LT_MULT_IMP_'#@#variant
0. 'coq/Coq_ZArith_Znat_Z_N_nat' 'h4/thm/realax/hreal_of_real_'#@#variant
0. 'coq/Coq_Reals_Raxioms_R1_neq_R0' 'h4/thm/binary_ieee/rounding_distinct_1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_le_compat_r' 'h4/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Reals_Rtrigo_calc_sqrt2_neq_0'#@#variant 'h4/thm/binary_ieee/float_compare_distinct_1'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pred_le_mono' 'h4/thm/divides/LT_PRIMES_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_square_spec' 'h4/thm/HolSmt/r216_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_neq_0_lt_0'#@#variant 'h4/thm/extreal/lt_infty_e6'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_1_r' 'h4/thm/extreal/mul_rzero_'
0. 'coq/Coq_QArith_QOrderedType_QOrder_lt_eq' 'h4/thm/integer/INT_LTE_TRANS_'
0. 'coq/Coq_Bool_Bool_negb_xorb_l' 'h4/thm/frac/FRAC_AINV_LMUL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_sub_distr_l' 'h4/thm/hrat/TRAT_LDISTRIB_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_succ_diag_r' 'h4/thm/bit/BIT_B_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_add_r' 'h4/thm/integer/INT_DIVIDES_MUL_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_pred' 'h4/thm/transc/ATN_e2'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_lt_mono_pos_r' 'h4/thm/logroot/EXP_LT_ISO_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_sgn' 'h4/thm/real/ABS_ABS_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_le_mono_l' 'h4/thm/hreal/HRAT_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_0_sub'#@#variant 'h4/thm/real/REAL_SUB_LE_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_lt_mono_r' 'h4/thm/real/REAL_LE_LMUL_IMP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sub_0_le' 'h4/thm/arithmetic/SUB_EQ_0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_opp_r' 'h4/thm/integer/int_sub_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_inj_wd' 'h4/thm/complex/COMPLEX_INV_INJ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_asymm' 'h4/thm/hreal/HRAT_LT_GT_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_divide_xO_xO' 'h4/thm/arithmetic/LESS_MONO_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_max_l' 'h4/thm/integer/INT_DIVIDES_MUL_0'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_sub_le_add_l' 'h4/thm/arithmetic/SUB_RIGHT_LESS_EQ_'
0. 'coq/Coq_Reals_RIneq_Ropp_mult_distr_r' 'h4/thm/rat/RAT_AINV_RMUL_'
0. 'coq/Coq_NArith_BinNat_N_add_le_mono_l' 'h4/thm/integer/LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_quot_str_pos'#@#variant 'h4/thm/bit/DIV_GT0_'#@#variant
0. 'coq/Coq_Reals_ROrderedType_ROrder_TO_lt_total' 'h4/thm/integer/INT_LT_TOTAL_'
0. 'coq/Coq_PArith_Pnat_SuccNat2Pos_inj_succ' 'h4/thm/complex/COMPLEX_OF_REAL_NEG_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_max_l' 'h4/thm/real/REAL_LE_MAX1_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_succ_diag_r' 'h4/thm/prim_rec/LESS_SUC_SUC_0'
0. 'coq/Coq_ZArith_BinInt_Z_quot_le_mono'#@#variant 'h4/thm/arithmetic/DIV_LE_MONOTONE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_sub_le_add_r' 'h4/thm/real/REAL_LE_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_inj_wd' 'h4/thm/integral/EQ_SUC_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_nlt_ge' 'h4/thm/rat/RAT_LEQ_LES_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_le_mono_r_iff'#@#variant 'h4/thm/transc/RPOW_LE_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lor_0_l' 'h4/thm/integer/TINT_ADD_LID_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_odd_1' 'h4/thm/float/FLOAT_INFINITIES_SIGNED_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_le_mono_r' 'h4/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_involutive' 'h4/thm/integer/INT_NEGNEG_'
0. 'coq/Coq_ZArith_Znat_N2Z_id' 'h4/thm/binary_ieee/num2rounding_rounding2num_'
0. 'coq/Coq_ZArith_BinInt_Z_opp_pred' 'h4/thm/numRing/num_rewrites_tRRLRR'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pred_le_mono' 'h4/thm/hrat/TRAT_INV_WELLDEFINED_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_lt_mono_pos_l'#@#variant 'h4/thm/transc/RPOW_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_id' 'h4/thm/extreal/min_refl_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_succ_l' 'h4/thm/frac/FRAC_AINV_LMUL_'
0. 'coq/Coq_Init_Peano_plus_n_Sm' 'h4/thm/rat/RAT_AINV_RMUL_'
0. 'coq/Coq_ZArith_BinInt_Zminus_succ_l' 'h4/thm/real/REAL_MUL_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftl_shiftl' 'h4/thm/arithmetic/EXP_EXP_MULT_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_nonneg' 'h4/thm/integral/LT_0_'
0. 'coq/Coq_ZArith_BinInt_Z_add_pos_nonneg'#@#variant 'h4/thm/extreal/let_mul_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mod_mod' 'h4/thm/integer/INT_MOD_MOD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_lt_mono_neg_l' 'h4/thm/rat/RAT_LES_LMUL_NEG_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lxor_m1_l'#@#variant 'h4/thm/numeral/texp_help_def_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_divide_mono_l' 'h4/thm/real/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_max_l' 'h4/thm/realax/HREAL_LT_ADDL_'
0. 'coq/Coq_Reals_RIneq_Rplus_lt_le_0_compat'#@#variant 'h4/thm/util_prob/REAL_LE_LT_MUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_not_add_l' 'h4/thm/integer/LT_ADDR_'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_eq_not_lt' 'h4/thm/realax/HREAL_LT_NE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_sub' 'h4/thm/real/REAL_ADD_SUB_ALT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_r' 'h4/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Reals_Rtrigo_calc_Rlt_sqrt3_0'#@#variant 'h4/thm/real/REAL_THIRDS_BETWEEN_1'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_lub_lt_iff' 'h4/thm/arithmetic/MAX_LE_e1'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_lt_mono_r'#@#variant 'h4/thm/real/REAL_LE_LMUL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_succ_r' 'h4/thm/extreal/mul_rneg_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_factor_l' 'h4/thm/real/REAL_LE_MAX1_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_lt_succ_r' 'h4/thm/prim_rec/LESS_SUC_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_divide_l' 'h4/thm/real/REAL_MIN_LE1_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_lt' 'h4/thm/real/le_int_0'
0. 'coq/Coq_Arith_PeanoNat_Nat_even_1' 'h4/thm/rat/rat_of_num_def_1'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_add_0_l' 'h4/thm/realax/TREAL_MUL_LID_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_inj' 'h4/thm/divides/PRIMES_11_'
0. 'coq/Coq_setoid_ring_RealField_Rdef_pow_add' 'h4/thm/complex/COMPLEX_POW_ADD_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_eq_cases' 'h4/thm/integer/INT_LE_CALCULATE_'
0. 'coq/Coq_Bool_Bool_orb_diag' 'h4/thm/arithmetic/MIN_IDEM_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_total' 'h4/thm/realax/REAL_LT_TOTAL_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_div2' 'h4/thm/toto/num_dt_size_def_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_le_mono' 'h4/thm/hrat/TRAT_INV_WELLDEFINED_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_opp_inj_wd' 'h4/thm/numpair/tri_11_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_r' 'h4/thm/real/REAL_MIN_ALT_e1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_1' 'h4/thm/transc/SIN_0_'
0. 'coq/Coq_Reals_Rfunctions_powerRZ_lt'#@#variant 'h4/thm/extreal/pow_pos_le_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sgn_null_iff' 'h4/thm/integer/INT_REM_CALCULATE_e4'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_opp_lt_mono' 'h4/thm/rat/RAT_LES_AINV_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mod_1_r'#@#variant 'h4/thm/arithmetic/EXP_0'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_divide_refl' 'h4/thm/realax/TREAL_EQ_REFL_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lxor_lnot_lnot' 'h4/thm/arithmetic/ABS_DIFF_ADD_SAME_'
0. 'coq/Coq_ZArith_BinInt_Z_gcd_1_l' 'h4/thm/real/REAL_DIV_LZERO_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_0_l' 'h4/thm/numeral/numeral_texp_help_0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sub_add' 'h4/thm/hreal/HREAL_SUB_ADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_ngt' 'h4/thm/integer/INT_NOT_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_succ_le_mono' 'h4/thm/integerRing/int_rewrites_tLRRRLRRRR'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_nge' 'h4/thm/arithmetic/NOT_LESS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_1' 'h4/thm/real/REAL_NEG_0_'
0. 'coq/Coq_Arith_Le_le_n_S' 'h4/thm/transc/EXP_MONO_IMP_'
0. 'coq/Coq_ZArith_BinInt_Z_div2_nonneg'#@#variant 'h4/thm/numeral/numeral_distrib_32'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_lt_antirefl' 'h4/thm/prim_rec/LESS_REFL_'
0. 'coq/Coq_Reals_Rtrigo1_cos_neg' 'h4/thm/numeral/numeral_add_6'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_lt_mono' 'h4/thm/numeral/numeral_lt_3'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_gt' 'h4/thm/real/REAL_LT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_nonneg_nonneg' 'h4/thm/integer/INT_LT_MUL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_succ_lt_mono' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Reals_RIneq_INR_IZR_INZ' 'h4/thm/extreal/extreal_of_num_def_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_lt_trans' 'h4/thm/integer/INT_LET_TRANS_'
0. 'coq/Coq_ZArith_BinInt_Z_rem_1_r'#@#variant 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRL'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_square' 'h4/thm/rat/RAT_AINV_CALCULATE_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_nonneg' 'h4/thm/integral/LT_0_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_nonneg'#@#variant 'h4/thm/real/REAL_LE_INV_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_double_twice'#@#variant 'h4/thm/real/REAL_INV_1OVER_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_testbit_of_N' 'h4/thm/intto/pos_pos_thm_'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_one_neq_zero' 'h4/thm/real/REAL_10_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_succ_l' 'h4/thm/real/REAL_MUL_LNEG_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_ltb_lt' 'h4/thm/quote/index_lt_def_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_1' 'h4/thm/numeral_bit/NUMERAL_iDIV2_1'
0. 'coq/Coq_ZArith_Znat_Z2N_inj_quot2' 'h4/thm/rat/RAT_AINV_CALCULATE_'
0. 'coq/Coq_Lists_List_concat_nil' 'h4/thm/option/option_CLAUSES_18'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_iff' 'h4/thm/string_num/s2n_11_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_1_l'#@#variant 'h4/thm/HolSmt/r221_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_succ_diag_r' 'h4/thm/bit/BIT_B_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_succ_le_mono' 'h4/thm/numeral/numeral_distrib_28'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_eq_mul_1'#@#variant 'h4/thm/arithmetic/ADD_EQ_0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_lxor_l' 'h4/thm/arithmetic/PRE_SUB_'
0. 'coq/Coq_Sets_Uniset_leb_refl' 'h4/thm/rat/RAT_EQUIV_REF_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_pos_nonneg'#@#variant 'h4/thm/real/REAL_LTE_ADD_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_is_nonneg'#@#variant 'h4/thm/float/twogz_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qmult_lt_r'#@#variant 'h4/thm/logroot/EXP_LE_ISO_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pow_1_l' 'h4/thm/HolSmt/r233_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_odd_1' 'h4/thm/float/FLOAT_INFINITIES_SIGNED_e1'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_succ' 'h4/thm/complex/COMPLEX_OF_REAL_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_neq' 'h4/thm/integer/INT_LT_LE_'
0. 'coq/Coq_Reals_Rminmax_R_OT_le_lteq' 'h4/thm/rat/rat_leq_def_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_le_mono_l' 'h4/thm/integer/INT_LE_LADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_nlt_ge' 'h4/thm/extreal/extreal_lt_def_'
0. 'coq/Coq_QArith_Qminmax_Q_le_min_l' 'h4/thm/arithmetic/SUB_LESS_EQ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_lxor_r' 'h4/thm/integer/INT_NEG_RMUL_'
0. 'coq/Coq_Lists_List_hd_error_cons' 'h4/thm/llist/LHD_THM_e1'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_1_l'#@#variant 'h4/thm/numeral/numeral_texp_help_0'
0. 'coq/Coq_Reals_RIneq_Ropp_mult_distr_r' 'h4/thm/integer/INT_MUL_CALCULATE_2'
0. 'coq/Coq_ZArith_BinInt_Z_lor_eq_0_iff' 'h4/thm/arithmetic/MULT_EQ_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_eq_le_incl' 'h4/thm/real/REAL_EQ_IMP_LE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_0_succ' 'h4/thm/divides/ZERO_LT_PRIMES_'
0. 'coq/Coq_Arith_PeanoNat_Nat_pred_le_mono' 'h4/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_QArith_Qminmax_Q_max_le_compat_r' 'h4/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_lt_nle' 'h4/thm/rat/RAT_LEQ_LES_'
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_pos_l'#@#variant 'h4/thm/arithmetic/EXP_BASE_LT_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_eq_le_incl' 'h4/thm/real/REAL_EQ_IMP_LE_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_le' 'h4/thm/real/le_int_0'
0. 'coq/Coq_PArith_BinPos_Pos_divide_xO_xO' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_compare_xI_xI' 'h4/thm/toto/num_dtOrd_e8'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_opp' 'h4/thm/transc/TAN_NEG_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_succ_l' 'h4/thm/extreal/mul_lneg_'
0. 'coq/Coq_NArith_BinNat_N_succ_le_mono' 'h4/thm/transc/EXP_MONO_LE_'
0. 'coq/Coq_Reals_Rtrigo_calc_deg_rad' 'h4/thm/prim_rec/PRE_e1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lcm_divide_iff' 'h4/thm/arithmetic/MAX_LT_e1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_refl' 'h4/thm/integer/TINT_EQ_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lcm_1_r_nonneg'#@#variant 'h4/thm/transc/RPOW_1_'#@#variant
0. 'coq/Coq_Bool_Bool_andb_diag' 'h4/thm/gcd/GCD_REF_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_inj_wd' 'h4/thm/integer/INT_EQ_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_le_mono' 'h4/thm/numpair/tri_LE_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_l' 'h4/thm/extreal/le_ladd_imp_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_le_incl' 'h4/thm/arithmetic/LESS_IMP_LESS_OR_EQ_'
0. 'coq/Coq_ZArith_BinInt_Zopp_mult_distr_r' 'h4/thm/rat/RAT_AINV_RMUL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_min_glb_lt' 'h4/thm/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_sub_lt_add_r' 'h4/thm/extreal/lt_sub_imp_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_le_mono' 'h4/thm/bit/TWOEXP_MONO_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lnot_lxor_l' 'h4/thm/integer/INT_MUL_CALCULATE_1'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_gt' 'h4/thm/realax/REAL_ISO_EQ_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_divide' 'h4/thm/extreal/extreal_lt_eq_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_lt_mono_l' 'h4/thm/integer/INT_LT_LADD_'
0. 'coq/Coq_Reals_RList_RList_P1' 'h4/thm/real/REAL_POW_LT_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_pos_l'#@#variant 'h4/thm/integer/INT_LT_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_le_iff' 'h4/thm/util_prob/X_LE_MAX_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftr_div_pow2'#@#variant 'h4/thm/complex/complex_sub_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_ge' 'h4/thm/real/REAL_LT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_eq_cases' 'h4/thm/string/string_le_def_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pred_succ' 'h4/thm/numeral/numeral_add_0'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_divide_mono_l' 'h4/thm/realax/TREAL_LT_ADD_'#@#variant
0. 'coq/Coq_Reals_Rtrigo_calc_Rlt_3PI2_2PI'#@#variant 'h4/thm/real/REAL_THIRDS_BETWEEN_tRRRL'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_pos_r'#@#variant 'h4/thm/real/REAL_LT_RMUL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Zopp_mult_distr_r' 'h4/thm/complex/COMPLEX_NEG_RDIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_l' 'h4/thm/integer/INT_LT_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_lt_mono_l' 'h4/thm/real/REAL_LE_LADD_'
0. 'coq/Coq_QArith_Qminmax_Q_max_lt_iff' 'h4/thm/util_prob/X_LE_MAX_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_nonneg_pos'#@#variant 'h4/thm/extreal/lte_mul_'#@#variant
0. 'coq/Coq_Lists_List_lel_refl' 'h4/thm/Encode/biprefix_refl_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_sub_lt_add_r' 'h4/thm/integer/INT_LT_SUB_LADD_'
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_pos'#@#variant 'h4/thm/numeral/numeral_distrib_33'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_1_l' 'h4/thm/integer/INT_ADD_REDUCE_0'
0. 'coq/Coq_Reals_RIneq_Rmult_lt_0_compat' 'h4/thm/integer/INT_LT_MUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_le_mono_l' 'h4/thm/rat/RAT_LES_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_setbit_spec_prime'#@#variant 'h4/thm/extreal/extreal_sub_add_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ldiff_m1_l'#@#variant 'h4/thm/HolSmt/r221_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_is_pos'#@#variant 'h4/thm/extreal/lt_infty_0'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_le_ngt' 'h4/thm/extreal/extreal_lt_def_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_1_l' 'h4/thm/extreal/le_infty_tLL'
0. 'coq/Coq_Init_Peano_le_0_n'#@#variant 'h4/thm/arithmetic/ZERO_LESS_EQ_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lt_total' 'h4/thm/realax/REAL_LT_TOTAL_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_of_Qc' 'h4/thm/ieee/Sign_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mod_same' 'h4/thm/integer/INT_MOD_ID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_nle' 'h4/thm/arithmetic/NOT_LESS_EQUAL_'
0. 'coq/Coq_ZArith_BinInt_Z_div2_spec'#@#variant 'h4/thm/arithmetic/PRE_SUB1_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_cancel_r' 'h4/thm/arithmetic/EQ_MONO_ADD_EQ_'
0. 'coq/Coq_NArith_BinNat_N_pred_le_mono' 'h4/thm/bit/TWOEXP_MONO2_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_land_lor_distr_r' 'h4/thm/hrat/TRAT_LDISTRIB_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_le_sub_le_add_l' 'h4/thm/rat/RAT_LSUB_LES_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_divide_mono_r' 'h4/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_inj_wd' 'h4/thm/toto/num_dt_11_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_pos_l'#@#variant 'h4/thm/integer/INT_LT_MONO_'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_succ' 'h4/thm/toto/num_dt_size_def_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_sub_le_add_r' 'h4/thm/integer/INT_LT_ADD_SUB_'
0. 'coq/Coq_ZArith_BinInt_Z_add_lt_mono_r' 'h4/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_le_compat_r' 'h4/thm/arithmetic/LESS_MONO_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_le_mono' 'h4/thm/hrat/TRAT_INV_WELLDEFINED_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_lxor_l' 'h4/thm/real/REAL_MUL_LNEG_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_testbit_even_0'#@#variant 'h4/thm/quote/index_compare_def_4'
0. 'coq/Coq_Reals_Rfunctions_pow_add' 'h4/thm/real/REAL_POW_ADD_'
0. 'coq/Coq_NArith_BinNat_N_lxor_nilpotent' 'h4/thm/arithmetic/SUB_EQUAL_0_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_succ_diag_r' 'h4/thm/prim_rec/LESS_SUC_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_diag' 'h4/thm/HolSmt/r216_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_succ_not_1' 'h4/thm/arithmetic/SUC_NOT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_add' 'h4/thm/complex/COMPLEX_SUB_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_le_mono_r_iff'#@#variant 'h4/thm/int_arith/justify_divides_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_divide_xO_xO' 'h4/thm/integerRing/int_rewrites_tLRRRLRRRR'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_0_l' 'h4/thm/integer/INT_MOD0_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_max_lub_iff' 'h4/thm/arithmetic/MAX_LT_e1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_lt_mono' 'h4/thm/integerRing/int_rewrites_tRRRRRRLRRRR'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_sgn' 'h4/thm/quote/index_size_def_0'#@#variant
0. 'coq/Coq_NArith_BinNat_N_divide_lcm_r' 'h4/thm/integer/INT_DIVIDES_MUL_e1'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_lt_mono_r' 'h4/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_pow' 'h4/thm/integer/INT_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_add_le' 'h4/thm/real/REAL_ABS_TRIANGLE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_le_mono' 'h4/thm/transc/EXP_MONO_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_eq_0' 'h4/thm/arithmetic/ADD_EQ_0_'
0. 'coq/Coq_Reals_Rminmax_R_min_glb_lt_iff' 'h4/thm/arithmetic/MIN_LT_e1'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_lt_mono_r_iff'#@#variant 'h4/thm/logroot/LT_EXP_ISO_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_l' 'h4/thm/realax/REAL_LT_IADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_pos_pos' 'h4/thm/realax/TREAL_LT_MUL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gt_lt_iff' 'h4/thm/HolSmt/r103_'
0. 'coq/Coq_NArith_BinNat_N_eq_0_gt_0_cases'#@#variant 'h4/thm/arithmetic/LESS_0_CASES_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qplus_inj_l' 'h4/thm/arithmetic/ADD_MONO_LESS_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_lt_trans' 'h4/thm/rat/RAT_LEQ_LES_TRANS_'
0. 'coq/Coq_ZArith_Zorder_Zle_0_nat'#@#variant 'h4/thm/real/POW_2_LE1_'#@#variant
0. 'coq/Coq_Reals_Rpower_Rle_Rpower'#@#variant 'h4/thm/logroot/LOG_LE_MONO_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_lt_mono_r' 'h4/thm/extreal/le_lmul_imp_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_le_compat_l' 'h4/thm/real/REAL_LT_IADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_Zpos' 'h4/thm/integer/INT_LT_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_ge' 'h4/thm/realax/REAL_ISO_EQ_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_eq_0_r' 'h4/thm/extreal/add_not_infty_0'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_succ_l' 'h4/thm/arithmetic/PRE_SUB_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_sgn' 'h4/thm/extreal/extreal_exp_def_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_add_r' 'h4/thm/divides/DIVIDES_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_setbit_spec_prime'#@#variant 'h4/thm/rat/RAT_SUB_ADDAINV_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_1_r' 'h4/thm/real/REAL_SUB_RZERO_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_1' 'h4/thm/transc/SIN_0_'
0. 'coq/Coq_NArith_BinNat_N_mul_1_l' 'h4/thm/HolSmt/r213_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_nonneg_l'#@#variant 'h4/thm/arithmetic/EXP_BASE_LEQ_MONO_IMP_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qmult_le_l'#@#variant 'h4/thm/arithmetic/EXP_BASE_LT_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_Odd_succ' 'h4/thm/binary_ieee/exp_ge2_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_divide_mono_r' 'h4/thm/integer/TINT_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_nlt_ge' 'h4/thm/real/real_lte_'
0. 'coq/Coq_NArith_BinNat_N_sub_1_r'#@#variant 'h4/thm/arithmetic/ADD1_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_negb_even' 'h4/thm/ratRing/rat_ring_thms_e17'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_0_1' 'h4/thm/prim_rec/LESS_0_0_'
0. 'coq/Coq_Reals_RIneq_opp_IZR' 'h4/thm/toto/num_dt_size_def_1'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_quot_0_l' 'h4/thm/integer/INT_MOD0_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_eq_cases' 'h4/thm/rat/rat_leq_def_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_succ' 'h4/thm/complex/COMPLEX_OF_REAL_NEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_lt_mono_r_iff'#@#variant 'h4/thm/transc/RPOW_LT_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_le_mono_r_iff'#@#variant 'h4/thm/logroot/LE_EXP_ISO_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_trichotomy' 'h4/thm/string/string_lt_cases_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_le_mono_r' 'h4/thm/arithmetic/LT_ADD_RCANCEL_'
0. 'coq/Coq_ZArith_BinInt_Z_shiftl_opp_r' 'h4/thm/HolSmt/r224_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lcm_eq_0' 'h4/thm/integer/INT_ENTIRE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_opp_opp' 'h4/thm/integer/INT_NEG_MUL2_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftl_1_l'#@#variant 'h4/thm/HolSmt/r129_'#@#variant
0. 'coq/Coq_ZArith_Zlogarithm_log_near_correct1' 'h4/thm/realax/REAL_POS_'
0. 'coq/Coq_Bool_Bool_andb_negb_r' 'h4/thm/rat/RAT_ADD_RINV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_divide_mono_r' 'h4/thm/hrat/TRAT_MUL_WELLDEFINED_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_iff' 'h4/thm/DeepSyntax/deep_form_11_6'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_land' 'h4/thm/transc/EXP_ADD_'
0. 'coq/Coq_ZArith_BinInt_Z_le_antisymm' 'h4/thm/rat/RAT_LEQ_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_1_r' 'h4/thm/integer/INT_SUB_REDUCE_0'
0. 'coq/Coq_Numbers_Cyclic_DoubleCyclic_DoubleBase_wB_pos'#@#variant 'h4/thm/extreal/lt_infty_0'#@#variant
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_iff' 'h4/thm/integer/INT_INJ_'
0. 'coq/Coq_NArith_BinNat_N_succ_lt_mono' 'h4/thm/integerRing/int_rewrites_tRRRRRRLRRRR'
0. 'coq/Coq_Reals_Rtrigo1__PI2_RLT_0'#@#variant 'h4/thm/real/REAL_HALF_BETWEEN_e2'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_lt_mono_pos_l'#@#variant 'h4/thm/integer/INT_LE_MONO_'#@#variant
0. 'coq/Coq_Bool_Bool_diff_true_false' 'h4/thm/ieee/roundmode_distinct_3'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_nle_gt' 'h4/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_NArith_BinNat_N_le_max_r' 'h4/thm/hreal/HRAT_LT_ADDR_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_invc' 'h4/thm/quote/index_size_def_0'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_cancel_l' 'h4/thm/arithmetic/EQ_ADD_LCANCEL_'
0. 'coq/Coq_QArith_Qround_Qfloor_Z' 'h4/thm/string/CHR_ORD_'
0. 'coq/Coq_ZArith_BinInt_Z_sgn_null_iff' 'h4/thm/extreal/neg_eq0_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_pos_l'#@#variant 'h4/thm/rat/RAT_LES_LMUL_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_nonneg_nonpos'#@#variant 'h4/thm/extreal/mul_lte_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_le_mono' 'h4/thm/integerRing/int_rewrites_tRRRRRRLRRRR'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_succ' 'h4/thm/numeral/numeral_suc_e2'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_nonneg_nonneg' 'h4/thm/realax/TREAL_LT_MUL_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_even' 'h4/thm/rat/rat_nmr_def_'
0. 'coq/Coq_PArith_BinPos_Pos_mul_le_mono_r' 'h4/thm/hreal/HRAT_LT_RADD_'
0. 'coq/Coq_MMaps_MMapPositive_PositiveMap_lt_rev_append' 'h4/thm/real/REAL_LT_IADD_'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_one_neq_zero' 'h4/thm/frac/FRAC_1_0_'
0. 'coq/Coq_ZArith_BinInt_Z_divide_1_l'#@#variant 'h4/thm/extreal/le_infty_tLL'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_lub_iff' 'h4/thm/arithmetic/MAX_LT_e1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_lt_mono_neg_r' 'h4/thm/rat/RAT_LES_RMUL_NEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_lt_mono_r' 'h4/thm/hreal/HRAT_LT_RADD_'
0. 'coq/Coq_NArith_BinNat_N_pow_le_mono_l' 'h4/thm/integer/TINT_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mod_1_r'#@#variant 'h4/thm/numeral/numeral_exp_0'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_0_r'#@#variant 'h4/thm/arithmetic/EXP_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_ldiff' 'h4/thm/complex/COMPLEX_SUB_LNEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_eq_mul_0' 'h4/thm/intExtension/INT_NO_ZERODIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div2_succ_double' 'h4/thm/string/EXPLODE_IMPLODE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_cancel_r' 'h4/thm/real/REAL_EQ_RADD_'
0. 'coq/Coq_NArith_BinNat_N_pow_le_mono_l' 'h4/thm/arithmetic/LESS_MONO_MULT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_nonneg' 'h4/thm/prim_rec/LESS_0_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_sub_r' 'h4/thm/divides/DIVIDES_SUB_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_lub_lt' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_e2'
0. 'coq/Coq_Reals_Ratan_atan_bound/1'#@#variant 'h4/thm/transc/COS_BOUNDS_e1'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_sub_max'#@#variant 'h4/thm/DeepSyntax/deep_form_size_def_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_succ_lt_mono' 'h4/thm/numpair/tri_LE_'
0. 'coq/Coq_Arith_PeanoNat_Nat_nle_gt' 'h4/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_pos_r'#@#variant 'h4/thm/rat/RAT_LES_RMUL_POS_'#@#variant
0. 'coq/Coq_Reals_Raxioms_R1_neq_R0' 'h4/thm/realax/REAL_10_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_1_l' 'h4/thm/divides/ONE_DIVIDES_ALL_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mod_same' 'h4/thm/integer/INT_MOD_ID_'#@#variant
0. 'coq/Coq_Arith_Mult_mult_lt_compat_r'#@#variant 'h4/thm/integral/REAL_LE_RMUL1_'#@#variant
0. 'coq/Coq_fourier_Fourier_util_Rle_zero_1' 'h4/thm/transc/PI2_BOUNDS_e1'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_pos_l'#@#variant 'h4/thm/real/REAL_LT_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lxor_nilpotent' 'h4/thm/rat/RAT_SUB_ID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_nle_gt' 'h4/thm/arithmetic/NOT_LESS_EQUAL_'
0. 'coq/Coq_ZArith_BinInt_Z_nlt_ge' 'h4/thm/real/real_lt_'
0. 'coq/Coq_NArith_BinNat_N_testbit_even_0'#@#variant 'h4/thm/quote/index_compare_def_4'
0. 'coq/Coq_Reals_Ratan_Alt_PI_eq' 'h4/thm/integer/int_of_num_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_div2'#@#variant 'h4/thm/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lor_eq_0_l' 'h4/thm/transc/RPOW_NZ_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_lt_mono_pos_l'#@#variant 'h4/thm/integer/INT_LE_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_double_spec'#@#variant 'h4/thm/real/REAL_INV_1OVER_'#@#variant
0. 'coq/Coq_Bool_Bool_diff_false_true' 'h4/thm/frac/FRAC_1_0_'
0. 'coq/Coq_Numbers_Natural_BigN_Nbasic_base_xO'#@#variant 'h4/thm/hrat/trat_sucint_e1'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_Zabs' 'h4/thm/extreal/extreal_ainv_def_e2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_add_le_sub_r' 'h4/thm/arithmetic/SUB_LEFT_LESS_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_divide_mono_l' 'h4/thm/realax/REAL_LT_IADD_'
0. 'coq/Coq_Strings_Ascii_ascii_nat_embedding' 'h4/thm/binary_ieee/num2float_compare_float_compare2num_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftr_opp_r' 'h4/thm/complex/COMPLEX_SUB_RNEG_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_le_compat_l' 'h4/thm/extreal/le_ladd_imp_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_lt_mono_r' 'h4/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_xO_r' 'h4/thm/frac/FRAC_AINV_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_1_r'#@#variant 'h4/thm/arithmetic/ADD1_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_pred' 'h4/thm/numpair/invtri_linverse_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_ones_equiv'#@#variant 'h4/thm/numeral/numeral_pre_e4'
0. 'coq/Coq_ZArith_Zpower_two_power_pos_nat' 'h4/thm/rat/rat_nmr_def_'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_iff' 'h4/thm/extreal/extreal_11_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_nonneg_nonpos'#@#variant 'h4/thm/integer/INT_NEG_GE0_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_SIN_bound/0'#@#variant 'h4/thm/divides/ZERO_LT_PRIMES_'
0. 'coq/Coq_Reals_RIneq_Rle_or_lt' 'h4/thm/real/REAL_LTE_TOTAL_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_quot2' 'h4/thm/rat/RAT_AINV_CALCULATE_'
0. 'coq/Coq_ZArith_BinInt_Z_sgn_nonneg'#@#variant 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_MMaps_MMapPositive_PositiveMap_empty_spec' 'h4/thm/llist/LNTH_THM_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sub_lt' 'h4/thm/arithmetic/SUB_LESS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_le_mono_r' 'h4/thm/rat/RAT_LES_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_r' 'h4/thm/extreal/le_radd_imp_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_lt_mono_r' 'h4/thm/integer/INT_LT_RADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_le_compat_l' 'h4/thm/realax/REAL_LT_IADD_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_opp_pos' 'h4/thm/ratRing/rat_ring_thms_e17'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_succ_not_1' 'h4/thm/arithmetic/SUC_NOT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_lteq' 'h4/thm/rat/rat_leq_def_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_succ_not_1' 'h4/thm/num/NOT_SUC_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_nle' 'h4/thm/real/real_lt_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_le_iff' 'h4/thm/arithmetic/MIN_LE_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_lt_succ_r' 'h4/thm/prim_rec/LESS_SUC_'
0. 'coq/Coq_ZArith_Zorder_Zle_not_lt' 'h4/thm/real/REAL_LET_ANTISYM_'
0. 'coq/__constr_Coq_Init_Peano_le_0_1' 'h4/thm/hrat/TRAT_EQ_REFL_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_divide_mono_r' 'h4/thm/arithmetic/LESS_MONO_MULT_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_compare_xO_xO' 'h4/thm/toto/qk_numeralOrd_5'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_refl' 'h4/thm/divides/DIVIDES_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_gt_lt_iff' 'h4/thm/arithmetic/GREATER_DEF_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_lt_mono_l' 'h4/thm/arithmetic/LT_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_r' 'h4/thm/integer/TINT_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftl_1_l'#@#variant 'h4/thm/numeral/numeral_texp_help_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_opp' 'h4/thm/numeral/numeral_distrib_14'
0. 'coq/Coq_ZArith_BinInt_Zpos_eq_iff' 'h4/thm/integer/INT_MOD_CALCULATE_3'
0. 'coq/Coq_ZArith_BinInt_Z_sub_min_distr_l' 'h4/thm/transc/RPOW_SUB_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div_0_l' 'h4/thm/integer/INT_MOD0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_setbit_spec_prime'#@#variant 'h4/thm/integer/INT_SUB_CALCULATE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_eq_le_incl' 'h4/thm/HolSmt/t007_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_sub_le_add_r' 'h4/thm/rat/RAT_RSUB_LES_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lcm_1_r' 'h4/thm/real/REAL_ADD_RID_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_le_compat_r' 'h4/thm/extreal/le_radd_imp_'
0. 'coq/Coq_NArith_Ndigits_Nless_def_2' 'h4/thm/quote/index_compare_def_7'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_lt_add_r' 'h4/thm/divides/DIVIDES_MULT_'
0. 'coq/Coq_ZArith_Znat_N2Z_id' 'h4/thm/string_num/n2s_s2n_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sub_lt_mono_r' 'h4/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_lcm_l' 'h4/thm/real/REAL_LE_MAX1_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_compare_xO_xO' 'h4/thm/toto/numeralOrd_6'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_0_l' 'h4/thm/integer/INT_DIVIDES_1_0'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_lt_mono_pos_r'#@#variant 'h4/thm/intExtension/INT_GT_RMUL_EXP_'#@#variant
0. 'coq/Coq_NArith_Ndigits_Nless_def_1' 'h4/thm/quote/index_compare_def_7'
0. 'coq/Coq_ZArith_BinInt_Z_sgn_nonneg'#@#variant 'h4/thm/numeral/numeral_distrib_33'
0. 'coq/Coq_ZArith_BinInt_Z_sub_cancel_l' 'h4/thm/integer/INT_EQ_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftl_shiftl' 'h4/thm/arithmetic/EXP_EXP_MULT_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_compare' 'h4/thm/intto/pos_pos_thm_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_le_lt_mono' 'h4/thm/real/REAL_LET_ADD2_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_nonneg'#@#variant 'h4/thm/integer/INT_LT_MUL2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_involutive' 'h4/thm/integer/INT_MUL_CALCULATE_e3'
0. 'coq/Coq_ZArith_BinInt_Z_lxor_nilpotent' 'h4/thm/arithmetic/SUB_EQUAL_0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_pow' 'h4/thm/arithmetic/PRE_SUB_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_lteq' 'h4/thm/rat/rat_leq_def_'
0. 'coq/Coq_QArith_Qcanon_Qcopp_involutive' 'h4/thm/frac/FRAC_AINV_AINV_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_cancel_r' 'h4/thm/integer/INT_EQ_RADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_antisym' 'h4/thm/arithmetic/LESS_EQUAL_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_lt_mono' 'h4/thm/integerRing/int_rewrites_tRRRRRRLRRRR'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_le_pred' 'h4/thm/arithmetic/LESS_EQ_IMP_LESS_SUC_'
0. 'coq/Coq_NArith_BinNat_N_divide_1_l'#@#variant 'h4/thm/arithmetic/ZERO_LESS_EQ_'
0. 'coq/Coq_PArith_BinPos_Pos_mul_cancel_r' 'h4/thm/complex/COMPLEX_EQ_RADD_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_negb_odd' 'h4/thm/util_prob/lg_pow_'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_is_nonneg'#@#variant 'h4/thm/complex/MODU_POS_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_SIN_bound/0'#@#variant 'h4/thm/arithmetic/FACT_LESS_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_quot_same'#@#variant 'h4/thm/real/REAL_DIV_REFL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_le_compat_r' 'h4/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_wf_0' 'h4/thm/toto/StrongLinearOrder_LESS_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gt_lt_iff' 'h4/thm/HolSmt/r103_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_le_mono_l' 'h4/thm/hreal/HRAT_LT_LADD_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_is_pos'#@#variant 'h4/thm/binary_ieee/zero_le_twopow_'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_succ' 'h4/thm/extreal/extreal_exp_def_0'
0. 'coq/Coq_Structures_DecidableTypeEx_N_as_DT_lt_not_eq' 'h4/thm/prim_rec/LESS_NOT_EQ_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_gcd_greatest' 'h4/thm/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_lt_trans' 'h4/thm/integer/INT_LET_TRANS_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_succ_l' 'h4/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_nle_succ_0' 'h4/thm/arithmetic/NOT_SUC_LESS_EQ_0_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_1' 'h4/thm/transc/SIN_0_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftl_1_l'#@#variant 'h4/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_Nbasic_plusnS' 'h4/thm/arithmetic/ADD_SUC_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_lt_mono_r' 'h4/thm/hreal/HRAT_LT_RADD_'
0. 'coq/Coq_NArith_BinNat_N_pred_le_mono' 'h4/thm/transc/EXP_MONO_IMP_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftr_opp_r' 'h4/thm/extreal/sub_rneg_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_divide_mono_r' 'h4/thm/extreal/le_radd_imp_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_0_r'#@#variant 'h4/thm/numeral/numeral_exp_0'#@#variant
0. 'coq/Coq_NArith_BinNat_N_double_mul' 'h4/thm/complex/COMPLEX_MUL_LNEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_abs_l' 'h4/thm/integer/INT_DIVIDES_NEG_e1'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_double'#@#variant 'h4/thm/toto/num_dt_size_def_1'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_abs_eq_iff'#@#variant 'h4/thm/extreal/abs_refl_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_0_l' 'h4/thm/HolSmt/r129_'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qclt_not_eq' 'h4/thm/realax/HREAL_LT_NE_'
0. 'coq/Coq_Reals_RIneq_INR_IZR_INZ' 'h4/thm/rat/rat_nmr_def_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_1' 'h4/thm/realax/TREAL_INV_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftr_div_pow2'#@#variant 'h4/thm/integer/int_sub_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_ngt' 'h4/thm/rat/RAT_LES_LEQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_lxor_l' 'h4/thm/arithmetic/PRE_SUB_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_sqrt' 'h4/thm/extreal/extreal_abs_def_0'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_glb_lt_iff' 'h4/thm/arithmetic/MIN_LT_e1'
0. 'coq/Coq_Reals_Rminmax_R_minus_max_distr_l' 'h4/thm/arithmetic/EXP_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_refl' 'h4/thm/integer/INT_DIVIDES_REFL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_0' 'h4/thm/realax/TREAL_INV_0_'#@#variant
0. 'coq/Coq_Reals_Rpower_sinh_arcsinh' 'h4/thm/numeral/numeral_add_0'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_stepr' 'h4/thm/rat/RAT_LES_LEQ_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_neq' 'h4/thm/integer/INT_LT_LE_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_pos'#@#variant 'h4/thm/numeral/numeral_distrib_33'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_phi' 'h4/thm/toto/num2cpn_cpn2num_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_le_compat_l' 'h4/thm/realax/TREAL_LT_ADD_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_nonneg_nonneg' 'h4/thm/binary_ieee/le2_'#@#variant
0. 'coq/Coq_Reals_RIneq_Ropp_mult_distr_l_reverse' 'h4/thm/integer/INT_NEG_LMUL_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_oppc' 'h4/thm/rat/RAT_AINV_CALCULATE_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_lt_trans' 'h4/thm/rat/RAT_LEQ_LES_TRANS_'
0. 'coq/Coq_NArith_BinNat_N_le_le_succ_r' 'h4/thm/prim_rec/LESS_SUC_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_clearbit_spec_prime'#@#variant 'h4/thm/rat/RAT_SUB_ADDAINV_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_le_lin'#@#variant 'h4/thm/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_pred_succ' 'h4/thm/transc/ATN_e2'
0. 'coq/Coq_ZArith_Zlogarithm_log_inf_le_log_sup' 'h4/thm/real/POW_2_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_pred_sub' 'h4/thm/arithmetic/DIV2_def_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_succ_lt_mono' 'h4/thm/numpair/tri_LE_'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_mul_r' 'h4/thm/logroot/EXP_MUL_'
0. 'coq/Coq_ZArith_Zpower_Zpower_pos_is_exp' 'h4/thm/extreal/pow_add_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_eq_0' 'h4/thm/extreal/entire_'#@#variant
0. 'coq/Coq_Arith_Max_max_lub' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_e2'
0. 'coq/Coq_NArith_BinNat_N_pow_lt_mono_r_iff'#@#variant 'h4/thm/arithmetic/EXP_BASE_LE_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_le_mono' 'h4/thm/numpair/tri_LE_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_refl' 'h4/thm/integer/INT_LE_REFL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mod_small'#@#variant 'h4/thm/integer/INT_LESS_MOD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_nlt_ge' 'h4/thm/integer/INT_NOT_LT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_eq_0' 'h4/thm/arithmetic/MULT_EQ_1_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_eq_cases' 'h4/thm/integer/INT_LE_LT_'
0. 'coq/Coq_ZArith_BinInt_Z_le_add_le_sub_r' 'h4/thm/real/REAL_LT_SUB_RADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_succ_diag_r' 'h4/thm/arithmetic/LESS_EQ_SUC_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_le_mono' 'h4/thm/bit/TWOEXP_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_Zpos' 'h4/thm/real/lt_int_0'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_lt_iff' 'h4/thm/arithmetic/MAX_LT_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_nonpos_nonpos'#@#variant 'h4/thm/extreal/lt_mul_neg_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_inj_wd' 'h4/thm/integer/INT_EQ_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_neg_neg'#@#variant 'h4/thm/extreal/le_mul_neg_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sub_le_mono_r' 'h4/thm/hrat/TRAT_MUL_WELLDEFINED_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_le_compat_r' 'h4/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_diag' 'h4/thm/real/REAL_MIN_REFL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div2_spec'#@#variant 'h4/thm/arithmetic/PRE_SUB1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftl_mul_pow2'#@#variant 'h4/thm/real/REAL_SUB_RNEG_'
0. 'coq/Coq_ZArith_Znat_Zabs2N_inj_pos' 'h4/thm/realax/hreal_of_real_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_add_le_mono_r' 'h4/thm/integer/INT_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_shuffle3' 'h4/thm/HolSmt/r086_'
0. 'coq/Coq_ZArith_BinInt_Z_gcd_0_l' 'h4/thm/HolSmt/r128_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_1_l' 'h4/thm/HolSmt/r233_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lcm_divide_iff' 'h4/thm/arithmetic/MAX_LT_e1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_lt_mono_l' 'h4/thm/rat/RAT_LES_LADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_compare_xI_xI' 'h4/thm/toto/num_dtOrd_e8'
0. 'coq/Coq_ZArith_BinInt_Z_lt_irrefl' 'h4/thm/integer/INT_LT_REFL_'
0. 'coq/Coq_QArith_Qcanon_Qcle_not_lt' 'h4/thm/integer/INT_LTE_ANTSYM_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_lt_mono_l' 'h4/thm/hreal/HRAT_LT_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_le_compat_r' 'h4/thm/integer/TINT_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_1_mul_pos'#@#variant 'h4/thm/util_prob/REAL_LE_LT_MUL_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_succ_inj_wd' 'h4/thm/complex/COMPLEX_INV_INJ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_1_l'#@#variant 'h4/thm/integer/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pred_succ' 'h4/thm/string/EXPLODE_IMPLODE_'#@#variant
0. 'coq/Coq_QArith_Qminmax_Q_max_le_iff' 'h4/thm/extreal/le_max_'
0. 'coq/Coq_Lists_List_length_zero_iff_nil' 'h4/thm/quantHeuristics/LIST_LENGTH_15_211'
0. 'coq/Coq_NArith_BinNat_N_sqrt_le_mono' 'h4/thm/real/REAL_POS_MONO_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_pred_l' 'h4/thm/arithmetic/ADD_e1'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftl_mul_pow2'#@#variant 'h4/thm/real/real_div_'
0. 'coq/Coq_NArith_BinNat_N_max_id' 'h4/thm/real/REAL_MAX_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_sgn_null_iff' 'h4/thm/real/REAL_NEG_EQ0_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_nlt_ge' 'h4/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_le_mono_r' 'h4/thm/real/REAL_LE_SUB_CANCEL2_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_add_lt_sub_r' 'h4/thm/real/REAL_LT_SUB_RADD_'
0. 'coq/Coq_ZArith_BinInt_Z_opp_pred' 'h4/thm/numRing/num_rewrites_tLRLRRRRRR'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_le_mono_r_iff'#@#variant 'h4/thm/logroot/LT_EXP_ISO_'#@#variant
0. 'coq/Coq_ZArith_Zpower_two_power_pos_nat' 'h4/thm/realax/real_of_hreal_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_ldiff_diag' 'h4/thm/arithmetic/SUB_EQUAL_0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_opp_diag_r' 'h4/thm/rat/RAT_ADD_RINV_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_nonneg' 'h4/thm/integral/LT_0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_gt_lin_r'#@#variant 'h4/thm/arithmetic/X_LT_EXP_X_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qplus_lt_r' 'h4/thm/real/REAL_LE_LADD_'
0. 'coq/Coq_Reals_RIneq_INR_IZR_INZ' 'h4/thm/ieee/Sign_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_opp_inj_wd' 'h4/thm/toto/num_dt_11_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_nle_gt' 'h4/thm/integer/INT_NOT_LE_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_divide_lcm_l' 'h4/thm/hreal/HRAT_LT_ADDL_'
0. 'coq/Coq_Reals_Ratan_atan_bound/1'#@#variant 'h4/thm/transc/SIN_BOUNDS_e1'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qle_shift_div_l'#@#variant 'h4/thm/real/REAL_LE_RDIV_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_le_mono_r' 'h4/thm/rat/RAT_LES_RADD_'
0. 'coq/Coq_Arith_Lt_nat_total_order' 'h4/thm/arithmetic/LESS_LESS_CASES_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_inj_wd' 'h4/thm/toto/num_dt_11_0'
0. 'coq/Coq_Arith_Mult_mult_le_compat_r' 'h4/thm/hrat/TRAT_MUL_WELLDEFINED_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lnot_lxor_l' 'h4/thm/arithmetic/PRE_SUB_'
0. 'coq/Coq_NArith_Nnat_Nat2N_id' 'h4/thm/binary_ieee/rounding_BIJ_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lxor_eq' 'h4/thm/extreal/sub_0_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Zlt_Qlt' 'h4/thm/string/char_ge_def_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_0_l' 'h4/thm/integer/INT_DIV_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_lxor_l' 'h4/thm/real/REAL_MUL_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_le_mono_l' 'h4/thm/rat/RAT_LES_LADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_divide_mul_l' 'h4/thm/divides/DIVIDES_MULT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_lcm_l' 'h4/thm/extreal/le_max1_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_max_l' 'h4/thm/extreal/le_max1_'
0. 'coq/Coq_ZArith_BinInt_Z_Odd_succ' 'h4/thm/binary_ieee/exp_gt2_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_cancel_l' 'h4/thm/integer/INT_LE_LADD_'
0. 'coq/Coq_Reals_RIneq_Ropp_mult_distr_l' 'h4/thm/extreal/mul_lneg_'
0. 'coq/Coq_ZArith_Zorder_Zplus_le_compat_r' 'h4/thm/integer/TINT_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_0_mul_prime'#@#variant 'h4/thm/arithmetic/ODD_MULT_'
0. 'coq/Coq_Arith_PeanoNat_Nat_neq_succ_0' 'h4/thm/intto/BIT2_nz_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_gcd_divide_l' 'h4/thm/real/REAL_MIN_LE1_'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_succ' 'h4/thm/quote/index_size_def_0'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_succ' 'h4/thm/complex/COMPLEX_OF_REAL_NEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_eq_iff'#@#variant 'h4/thm/real/ABS_REFL_'#@#variant
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_incrbis_aux_equiv' 'h4/thm/transc/sqrt_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_le_lin'#@#variant 'h4/thm/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_div2_double'#@#variant 'h4/thm/numeral/numeral_add_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_id' 'h4/thm/arithmetic/MAX_IDEM_'
0. 'coq/Coq_Arith_Gt_plus_gt_compat_l' 'h4/thm/integer/TINT_LT_ADD_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_1_mul_pos'#@#variant 'h4/thm/integer/INT_LTE_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_nle_gt' 'h4/thm/arithmetic/NOT_LESS_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_le_mono_l' 'h4/thm/arithmetic/ADD_MONO_LESS_EQ_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_succ_diag_r' 'h4/thm/numpair/tri_le_'
0. 'coq/Coq_ZArith_BinInt_Z_add_opp_diag_l' 'h4/thm/bit/SUC_SUB_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_min_distr' 'h4/thm/transc/EXP_ADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_nonneg_pos'#@#variant 'h4/thm/extreal/let_add_'#@#variant
0. 'coq/Coq_Reals_Rsqrt_def_Rsqrt_positivity'#@#variant 'h4/thm/realax/REAL_POS_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_sub_le_add_r' 'h4/thm/arithmetic/SUB_LEFT_LESS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_cancel_l' 'h4/thm/realax/HREAL_EQ_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_add_r' 'h4/thm/divides/DIVIDES_SUB_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_mul_1_l' 'h4/thm/integer/TINT_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_double_mul' 'h4/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_nonneg_nonneg' 'h4/thm/integer/TINT_LT_MUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_lt_trans' 'h4/thm/rat/RAT_LEQ_LES_TRANS_'
0. 'coq/Coq_Init_Peano_le_0_n' 'h4/thm/divides/ONE_DIVIDES_ALL_'#@#variant
0. 'coq/Coq_ZArith_Znat_Z2N_inj_pred' 'h4/thm/DeepSyntax/deep_form_size_def_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_eq_0' 'h4/thm/arithmetic/MULT_EQ_1_'#@#variant
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_lt_le' 'h4/thm/integer/INT_LT_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_cancel_r' 'h4/thm/complex/COMPLEX_EQ_RADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lxor_nilpotent' 'h4/thm/real/REAL_SUB_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gt_lt_iff' 'h4/thm/string/string_ge_def_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qmult_le_r'#@#variant 'h4/thm/logroot/EXP_LT_ISO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_odd_1' 'h4/thm/ieee/Minus_zero_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lnot_0_l' 'h4/thm/HolSmt/r128_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_le_mono' 'h4/thm/bit/TWOEXP_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_ngt' 'h4/thm/real/REAL_NOT_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lxor_eq_0_iff' 'h4/thm/integer/INT_SUB_0_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_succ_r' 'h4/thm/integer/INT_MUL_CALCULATE_2'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_gt' 'h4/thm/real/le_int_0'
0. 'coq/Coq_fourier_Fourier_util_Rfourier_lt'#@#variant 'h4/thm/integral/REAL_LE_LMUL1_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rplus_gt_compat_r' 'h4/thm/hrat/TRAT_MUL_WELLDEFINED_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_eq_cases' 'h4/thm/rat/rat_leq_def_'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_1' 'h4/thm/numeral_bit/NUMERAL_iDIV2_1'
0. 'coq/Coq_Bool_Bool_eqb_negb2' 'h4/thm/integer/INT_ADD_RINV_'#@#variant
0. 'coq/Coq_ZArith_Znat_Z2Nat_inj_pos' 'h4/thm/ieee/Sign_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lcm_1_l' 'h4/thm/real/REAL_SUB_LZERO_'
0. 'coq/Coq_Reals_Raxioms_Rlt_asym' 'h4/thm/rat/RAT_LES_ANTISYM_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_lt_iff' 'h4/thm/util_prob/X_LE_MAX_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_refl' 'h4/thm/arithmetic/LESS_EQ_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_neq_pred_l' 'h4/thm/prim_rec/SUC_ID_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_ge_le_iff' 'h4/thm/arithmetic/GREATER_DEF_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_phi' 'h4/thm/string_num/n2s_s2n_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_nonneg'#@#variant 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Reals_RIneq_Rlt_irrefl' 'h4/thm/extreal/lt_refl_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_opp_opp' 'h4/thm/integer/INT_NEG_MUL2_'
0. 'coq/Coq_NArith_BinNat_N_mul_eq_1'#@#variant 'h4/thm/gcd/GCD_EQ_0_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_add_lt_sub_r' 'h4/thm/arithmetic/SUB_LEFT_GREATER_EQ_'
0. 'coq/Coq_ZArith_BinInt_Z_lnot_lor' 'h4/thm/transc/EXP_SUB_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_glb_lt_iff' 'h4/thm/extreal/le_min_'
0. 'coq/Coq_ZArith_Zorder_Zlt_not_le' 'h4/thm/integer/INT_LET_ANTISYM_'
0. 'coq/Coq_NArith_BinNat_N_log2_null'#@#variant 'h4/thm/intExtension/INT_SGN_CLAUSES_e2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ldiff_land' 'h4/thm/real/REAL_SUB_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_divide_cancel_r' 'h4/thm/int_arith/INT_DIVIDES_LRMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_le_mono' 'h4/thm/bit/TWOEXP_MONO2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_sub_le_add_l' 'h4/thm/arithmetic/SUB_RIGHT_LESS_EQ_'
0. 'coq/Coq_QArith_Qabs_Qabs_Qle_condition' 'h4/thm/extreal/abs_bounds_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_pos_l'#@#variant 'h4/thm/int_arith/lt_justify_multiplication_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_succ_inj_wd' 'h4/thm/numeral/numeral_lt_4'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_lteq' 'h4/thm/arithmetic/GREATER_OR_EQ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_le_mono' 'h4/thm/numpair/tri_LE_'
0. 'coq/Coq_NArith_BinNat_N_succ_lt_mono' 'h4/thm/transc/EXP_MONO_LT_'
0. 'coq/Coq_QArith_Qminmax_Q_min_le_compat_l' 'h4/thm/realax/TREAL_LT_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_refl' 'h4/thm/hrat/TRAT_EQ_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_nle_gt' 'h4/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ldiff_ldiff_l' 'h4/thm/arithmetic/SUB_PLUS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_le_mono' 'h4/thm/bit/TWOEXP_MONO_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gt_lt_iff' 'h4/thm/real/real_ge_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_id' 'h4/thm/integer/NUM_OF_INT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_pred_le' 'h4/thm/arithmetic/OR_LESS_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_succ' 'h4/thm/transc/EXP_NEG_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_pred_double_succ' 'h4/thm/numeral_bit/NUMERAL_iDIV2_4'
0. 'coq/Coq_QArith_QArith_base_Qplus_le_r' 'h4/thm/real/REAL_LT_LADD_'
0. 'coq/Coq_Init_Peano_plus_n_Sm' 'h4/thm/arithmetic/ADD_CLAUSES_e3'
0. 'coq/Coq_MSets_MSetPositive_PositiveSet_E_bits_lt_antirefl' 'h4/thm/extreal/lt_refl_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lcm_eq_0' 'h4/thm/rat/RAT_NO_ZERODIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_sub_le_add_l' 'h4/thm/rat/RAT_LSUB_LES_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_le_mono_l' 'h4/thm/integer/INT_LE_LADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_eq_0' 'h4/thm/arithmetic/MULT_EQ_1_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_compare_xO_xO' 'h4/thm/quote/index_compare_def_5'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_le_mono' 'h4/thm/prim_rec/LESS_MONO_'
0. 'coq/Coq_fourier_Fourier_util_Rfourier_eqLR_to_le' 'h4/thm/integer/INT_EQ_IMP_LE_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_lub_iff' 'h4/thm/arithmetic/MAX_LT_e1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_neg'#@#variant 'h4/thm/numeral/numeral_distrib_24'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_mul_cancel_l' 'h4/thm/integer/EQ_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_cancel_r' 'h4/thm/real/REAL_EQ_RADD_'
0. 'coq/Coq_Reals_Rtrigo1_PI_neq0' 'h4/thm/frac/FRAC_1_0_'
0. 'coq/Coq_Reals_Rtrigo1_PI_neq0' 'h4/thm/real/REAL_10_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qmult_lt_l'#@#variant 'h4/thm/rat/RAT_LES_LMUL_POS_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_divide_Zpos' 'h4/thm/extreal/extreal_le_def_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_0_r_nonneg'#@#variant 'h4/thm/transc/RPOW_1_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_PI_neq0' 'h4/thm/binary_ieee/float_compare_distinct_2'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_succ_le_mono' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_ZArith_BinInt_Zopp_mult_distr_l' 'h4/thm/integer/INT_MUL_CALCULATE_1'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_le_lin' 'h4/thm/numpair/nsnd_le_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_ngt' 'h4/thm/arithmetic/NOT_LESS_EQUAL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_glb_lt' 'h4/thm/divides/DIVIDES_SUB_'
0. 'coq/Coq_Arith_PeanoNat_Nat_b2n_div2'#@#variant 'h4/thm/extreal/extreal_sub_def_3'
0. 'coq/Coq_Bool_Bool_negb_xorb_l' 'h4/thm/integer/INT_MUL_CALCULATE_1'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_1_mul_pos'#@#variant 'h4/thm/extreal/lte_add_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_le_refl' 'h4/thm/rat/RAT_EQUIV_REF_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_le_compat_r' 'h4/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mod_1_l'#@#variant 'h4/thm/transc/ONE_RPOW_'#@#variant
0. 'coq/Coq_PArith_BinPos_Ppred_minus' 'h4/thm/arithmetic/DIV2_def_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_le_mono_l' 'h4/thm/real/REAL_LE_LADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_sub_l' 'h4/thm/real/REAL_MIN_LE1_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_succ_r' 'h4/thm/frac/FRAC_AINV_RMUL_'
0. 'coq/Coq_Bool_Bool_negb_xorb_l' 'h4/thm/complex/COMPLEX_NEG_LMUL_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_nonneg'#@#variant 'h4/thm/integer/INT_LT_MUL2_'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_ge' 'h4/thm/real/le_int_0'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_opp_pos' 'h4/thm/frac/frac_sgn_def_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_neg_pos'#@#variant 'h4/thm/integer/INT_NEG_LT0_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rplus_opp_l' 'h4/thm/integer/INT_ADD_LINV_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_PI_neq0' 'h4/thm/binary_ieee/rounding_distinct_1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_lt_mono' 'h4/thm/transc/EXP_MONO_LT_'
0. 'coq/Coq_ZArith_Zquot_Z_quot_monotone'#@#variant 'h4/thm/arithmetic/DIV_LE_MONOTONE_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pow_lt_mono_r_iff'#@#variant 'h4/thm/integer/INT_LE_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_cancel_r' 'h4/thm/complex/COMPLEX_EQ_RADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_1_l' 'h4/thm/HolSmt/r221_'
0. 'coq/Coq_ZArith_BinInt_Z_shiftl_eq_0_iff'#@#variant 'h4/thm/binary_ieee/div_eq0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mod_0_l' 'h4/thm/integer/INT_DIV_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_lt_iff' 'h4/thm/extreal/le_max_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_null_iff' 'h4/thm/intExtension/INT_SGN_CLAUSES_1'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lt_trichotomy' 'h4/thm/integer/INT_LT_TOTAL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lxor_m1_l'#@#variant 'h4/thm/HolSmt/r128_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lt_trichotomy' 'h4/thm/arithmetic/LESS_LESS_CASES_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_add_lt_sub_r' 'h4/thm/arithmetic/SUB_LEFT_GREATER_EQ_'
0. 'coq/Coq_NArith_BinNat_N_divide_lcm_r' 'h4/thm/real/REAL_LE_MAX2_'
0. 'coq/Coq_NArith_BinNat_N_succ_inj_wd' 'h4/thm/DeepSyntax/deep_form_11_2'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_neq_mul_0' 'h4/thm/rat/RAT_NO_ZERODIV_NEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_1' 'h4/thm/extreal/neg_0_'
0. 'coq/Coq_NArith_BinNat_N_divide_lcm_eq_r' 'h4/thm/real/REAL_MAX_ALT_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_refl' 'h4/thm/divides/DIVIDES_REFL_'
0. 'coq/Coq_PArith_BinPos_Pos_le_lteq' 'h4/thm/integral/LE_LT_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_compare_succ_succ' 'h4/thm/quote/index_compare_def_7'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_pred_l' 'h4/thm/complex/COMPLEX_NEG_LDIV_'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_one_neq_zero' 'h4/thm/binary_ieee/float_compare_distinct_e5'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_nlt' 'h4/thm/integer/int_le_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mod_small' 'h4/thm/arithmetic/LESS_MOD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_le_mono' 'h4/thm/divides/LT_PRIMES_'
0. 'coq/Coq_PArith_BinPos_Pos_add_le_mono_l' 'h4/thm/arithmetic/ADD_MONO_LESS_EQ_'
0. 'coq/Coq_ZArith_BinInt_Z_opp_pred' 'h4/thm/numeral_bit/numeral_ilog2_1'#@#variant
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_compare' 'h4/thm/intto/pos_pos_thm_'
0. 'coq/Coq_NArith_BinNat_N_sub_add_distr' 'h4/thm/frac/FRAC_SUB_ADD_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_iff' 'h4/thm/integerRing/int_rewrites_tLRRRRRRRRL'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_sub' 'h4/thm/integer/INT_SUB_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_lt_mono_l' 'h4/thm/arithmetic/ADD_MONO_LESS_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_1_r' 'h4/thm/rat/RAT_SUB_RID_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_gt_cases' 'h4/thm/real/REAL_LTE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_lt_mono' 'h4/thm/integerRing/int_rewrites_tRRRRRRLRRRR'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_r' 'h4/thm/extreal/le_radd_imp_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_gt_lt_iff' 'h4/thm/pred_set/COUNT_applied_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_opp_r' 'h4/thm/extreal/mul_rneg_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_max_l' 'h4/thm/extreal/le_max1_'
0. 'coq/Coq_Lists_List_app_nil_l' 'h4/thm/sptree/union_def_0'
0. 'coq/Coq_NArith_BinNat_N_succ_inj_wd' 'h4/thm/toto/num_dt_11_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_nonneg' 'h4/thm/integral/LT_0_'
0. 'coq/Coq_ZArith_Zeven_Zeven_mult_Zeven_l' 'h4/thm/transc/RPOW_POS_LT_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Zlt_Qlt' 'h4/thm/realax/REAL_ISO_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_add_lt_sub_r' 'h4/thm/real/REAL_LT_ADD_SUB_'
0. 'coq/Coq_ZArith_Znat_Zabs2Nat_inj_neg' 'h4/thm/realax/real_of_hreal_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_pos_nonneg'#@#variant 'h4/thm/arithmetic/ONE_LT_MULT_IMP_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_min_glb_lt' 'h4/thm/divides/DIVIDES_ADD_1_'
0. 'coq/Coq_ZArith_Zpow_facts_Zpower2_le_lin'#@#variant 'h4/thm/divides/DIVIDES_FACT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_ge_cases' 'h4/thm/extreal/le_total_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_compare_xI_xI' 'h4/thm/toto/numeralOrd_5'
0. 'coq/Coq_Arith_PeanoNat_Nat_succ_le_mono' 'h4/thm/transc/EXP_MONO_LE_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_compare_succ_succ' 'h4/thm/quote/index_compare_def_7'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_of_Q' 'h4/thm/patricia_casts/num_to_string_string_to_num_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_factor_l' 'h4/thm/realax/HREAL_LT_ADDL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_compare_xO_xO' 'h4/thm/toto/numeralOrd_6'
0. 'coq/Coq_Reals_Rtrigo_calc_sin_lb_ge_0'#@#variant 'h4/thm/transc/SIN_POS_PI2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_le_compat_l' 'h4/thm/integer/INT_LT_LADD_IMP_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_le_mono' 'h4/thm/numpair/tri_LT_I_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_testbit' 'h4/thm/intto/pos_pos_thm_'
0. 'coq/Coq_MMaps_MMapPositive_PositiveMap_E_bits_lt_antirefl' 'h4/thm/real/REAL_LT_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_irrefl' 'h4/thm/prim_rec/LESS_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_diag'#@#variant 'h4/thm/numeral/iSQR_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_add_lt_sub_r' 'h4/thm/real/REAL_LT_SUB_LADD_'
0. 'coq/Coq_ZArith_BinInt_Z_gcd_diag' 'h4/thm/numeral/iSQR_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_div2' 'h4/thm/toto/num_dt_size_def_e2'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_ngt' 'h4/thm/real/real_lt_'
0. 'coq/Coq_NArith_Nnat_Nat2N_id' 'h4/thm/prelim/ordering_BIJ_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_testbit_of_N' 'h4/thm/toto/qk_numOrd_def_'
0. 'coq/Coq_Reals_RIneq_Rle_le_eq' 'h4/thm/real/REAL_LE_ANTISYM_'
0. 'coq/Coq_Reals_RIneq_Rmult_eq_reg_l' 'h4/thm/real/REAL_EQ_LMUL_IMP_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_wf_0' 'h4/thm/prim_rec/WF_LESS_'
0. 'coq/Coq_NArith_BinNat_N_lt_trichotomy' 'h4/thm/string/string_lt_cases_'#@#variant
0. 'coq/__constr_Coq_MSets_MSetPositive_PositiveSet_ct_0_1' 'h4/thm/gcd/IS_GCD_REF_'
0. 'coq/Coq_PArith_BinPos_Pos_add_lt_mono_r' 'h4/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_Int31Cyclic_specs' 'h4/thm/integerRing/int_is_ring_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_diag' 'h4/thm/real/REAL_MAX_REFL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_succ_diag_r' 'h4/thm/bit/BIT_B_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_nonneg' 'h4/thm/divides/ZERO_LT_PRIMES_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_gt_lt_iff' 'h4/thm/integer/INT_GE_CALCULATE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_succ_le_pred' 'h4/thm/bit/TWOEXP_LE_IMP_LE_LOG2_0'#@#variant
0. 'coq/Coq_ZArith_Znat_Zabs2N_id' 'h4/thm/string/CHR_ORD_'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_iff' 'h4/thm/ieee/roundmode2num_11_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_div_small' 'h4/thm/arithmetic/LESS_DIV_EQ_ZERO_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_clearbit_spec_prime'#@#variant 'h4/thm/rat/RAT_SUB_ADDAINV_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_ngt' 'h4/thm/rat/RAT_LES_LEQ_'
0. 'coq/Coq_NArith_BinNat_N_pos_pred_succ' 'h4/thm/frac/frac_tybij_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_le_mono' 'h4/thm/integer/TINT_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_pos_l'#@#variant 'h4/thm/transc/RPOW_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_le_mono_r' 'h4/thm/arithmetic/LESS_EQ_MONO_ADD_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_lub' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_e2'
0. 'coq/Coq_Reals_Rtrigo_def_sin_no_R0' 'h4/thm/extreal/extreal_not_infty_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_add_distr' 'h4/thm/arithmetic/SUB_PLUS_'
0. 'coq/Coq_ZArith_Zorder_Zle_0_pos' 'h4/thm/realax/REAL_POS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_wf_0' 'h4/thm/nets/DORDER_NGE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_lt_mono_pos_l'#@#variant 'h4/thm/real/REAL_LT_LMUL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_add_le_sub_r' 'h4/thm/integer/INT_LE_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_xO_r' 'h4/thm/complex/COMPLEX_NEG_RMUL_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_refl' 'h4/thm/real/REAL_LE_REFL_'
0. 'coq/Coq_PArith_BinPos_Pos_min_le_iff' 'h4/thm/arithmetic/MIN_LT_0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftr_div_pow2'#@#variant 'h4/thm/rat/RAT_DIV_MULMINV_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_nonneg_pos'#@#variant 'h4/thm/integer/INT_LET_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_sub_lt_add_r' 'h4/thm/arithmetic/SUB_LEFT_LESS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftl_opp_r' 'h4/thm/frac/frac_div_def_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_add_diag_r' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_0'
0. 'coq/Coq_ZArith_BinInt_Z_sgn_null_iff' 'h4/thm/numpair/tri_eq_0_0'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_max_l' 'h4/thm/real/REAL_LE_MAX1_'
0. 'coq/Coq_Reals_Rpower_exp_increasing' 'h4/thm/integer/TINT_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_sin_pos_tech'#@#variant 'h4/thm/transc/TAN_POS_PI2_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_succ_diag_r' 'h4/thm/numpair/tri_le_'
0. 'coq/__constr_Coq_Init_Peano_le_0_1' 'h4/thm/integer/INT_LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_sub' 'h4/thm/integer/INT_SUB_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_1_l'#@#variant 'h4/thm/HolSmt/r129_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pred_div2_up' 'h4/thm/complex/COMPLEX_OF_REAL_INV_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_le_mono' 'h4/thm/numpair/tri_LT_I_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gt_lt_iff' 'h4/thm/real/real_ge_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_w1_spec' 'h4/thm/integerRing/int_ring_thms_0'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lt_total' 'h4/thm/arithmetic/LESS_LESS_CASES_'
0. 'coq/Coq_PArith_BinPos_Pos_min_le_compat_r' 'h4/thm/arithmetic/LESS_MONO_MULT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_neq' 'h4/thm/integer/INT_LT_IMP_NE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_nlt_ge' 'h4/thm/integer/INT_NOT_LT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_add_distr' 'h4/thm/frac/FRAC_SUB_ADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_eq_cases' 'h4/thm/integer/INT_LE_LT_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lnot_ones' 'h4/thm/hreal/HREAL_MUL_LINV_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_Zpos' 'h4/thm/real/lt_int_0'
0. 'coq/Coq_Reals_Rtrigo1_sin_pos_tech'#@#variant 'h4/thm/transc/COS_POS_PI2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_cancel_l' 'h4/thm/realax/HREAL_EQ_LADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_nonneg_r'#@#variant 'h4/thm/integral/REAL_LE_RMUL1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_shuffle3' 'h4/thm/HolSmt/r086_'
0. 'coq/Coq_ZArith_BinInt_Z_divide_Zpos' 'h4/thm/real/REAL_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_move_r' 'h4/thm/complex/COMPLEX_EQ_SUB_RADD_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_iff' 'h4/thm/binary_ieee/float_compare_EQ_float_compare_'
0. 'coq/Coq_PArith_BinPos_Pos_add_lt_mono_l' 'h4/thm/hreal/HRAT_LT_LADD_'
0. 'coq/Coq_Reals_ROrderedType_R_as_DT_eqb_eq' 'h4/thm/quote/compare_index_equal_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_sub_le_add_r' 'h4/thm/real/REAL_LT_SUB_RADD_'
0. 'coq/Coq_PArith_BinPos_Pos_ge_le_iff' 'h4/thm/HolSmt/r103_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_1_l'#@#variant 'h4/thm/integer/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_lt_mono' 'h4/thm/integer/INT_LE_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_1_l' 'h4/thm/HolSmt/r221_'#@#variant
0. 'coq/Coq_QArith_Qabs_Qabs_wd' 'h4/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rplus_le_lt_0_compat'#@#variant 'h4/thm/util_prob/REAL_LT_LE_MUL_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_nge' 'h4/thm/HolSmt/r115_'
0. 'coq/Coq_ZArith_BinInt_Z_quot_pos'#@#variant 'h4/thm/real/REAL_LTE_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lcm_1_l' 'h4/thm/real/REAL_ADD_LID_'
0. 'coq/Coq_ZArith_Zdiv_mod_Zmod' 'h4/thm/integer/INT_QUOT_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_1_mul_pos'#@#variant 'h4/thm/util_prob/REAL_LE_LT_MUL_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_2' 'h4/thm/real/REAL_HALF_BETWEEN_tRL'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_square_spec' 'h4/thm/numeral/iDUB_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_mul_l' 'h4/thm/integer/INT_DIVIDES_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_pos'#@#variant 'h4/thm/numeral/numeral_distrib_33'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_1' 'h4/thm/real/REAL_HALF_BETWEEN_tRL'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_setbit_spec_prime'#@#variant 'h4/thm/real/real_sub_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_succ' 'h4/thm/complex/COMPLEX_EXP_NEG_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_lt_mono_l' 'h4/thm/rat/RAT_LES_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_ngt' 'h4/thm/HolSmt/r115_'
0. 'coq/Coq_ZArith_Znat_Zabs2N_inj_le'#@#variant 'h4/thm/float/FLOAT_GT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_add_lt_sub_r' 'h4/thm/real/REAL_LE_SUB_LADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_setbit_spec_prime'#@#variant 'h4/thm/HolSmt/r224_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_id' 'h4/thm/extreal/min_refl_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_ngt' 'h4/thm/real/real_lt_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_mul_comm' 'h4/thm/hrat/TRAT_ADD_SYM_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_cancel_r' 'h4/thm/real/REAL_EQ_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_max_l' 'h4/thm/arithmetic/LESS_EQ_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_inj' 'h4/thm/num/INV_SUC_'
0. 'coq/Coq_ZArith_BinInt_Z_le_max_r' 'h4/thm/integer/INT_DIVIDES_MUL_e1'
0. 'coq/Coq_ZArith_BinInt_Z_opp_involutive' 'h4/thm/extreal/neg_neg_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_nonneg' 'h4/thm/divides/ZERO_LT_PRIMES_'
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_divide/0' 'h4/thm/extreal/min_le1_'
0. 'coq/Coq_PArith_BinPos_Pos_lt_add_diag_r' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_0'
0. 'coq/Coq_NArith_BinNat_N_succ_inj_wd' 'h4/thm/numeral/numeral_eq_e7'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_pos_pos' 'h4/thm/realax/TREAL_LT_MUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_odd_1' 'h4/thm/ieee/Plus_zero_'#@#variant
0. 'coq/Coq_ZArith_Zeven_Zeven_not_Zodd' 'h4/thm/float/FLOAT_DISTINCT_8'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_pred' 'h4/thm/sptree/lrnext_thm_e4'#@#variant
0. 'coq/Coq_Reals_Rtrigo_calc_PI6_RGT_0'#@#variant 'h4/thm/divides/PRIME_2_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_sub_l' 'h4/thm/arithmetic/SUB_LESS_EQ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_eq_le_incl' 'h4/thm/integer/INT_EQ_IMP_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_sub_le_add_r' 'h4/thm/integer/INT_LE_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_eq_mul_0_r' 'h4/thm/extreal/add_not_infty_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_lcm_r' 'h4/thm/hreal/HRAT_LT_ADDR_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_ge_cases' 'h4/thm/real/REAL_LTE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_double_mul' 'h4/thm/arithmetic/PRE_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_involutive' 'h4/thm/integer/INT_MOD_CALCULATE_2'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pred_div2_up' 'h4/thm/extreal/extreal_exp_def_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_cancel_l' 'h4/thm/realax/HREAL_EQ_LADD_'
0. 'coq/Coq_Reals_Rtrigo1_sin_PI_x' 'h4/thm/numeral/numeral_add_6'
0. 'coq/Coq_PArith_BinPos_Pos_le_refl' 'h4/thm/real/REAL_LE_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_add_mod' 'h4/thm/integer/INT_MOD_SUB_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_lcm_r' 'h4/thm/integer/INT_DIVIDES_MUL_e1'
0. 'coq/Coq_QArith_Qround_Qceiling_Z' 'h4/thm/binary_ieee/rounding_BIJ_0'
0. 'coq/Coq_ZArith_Zsqrt_compat_Zsqrt_plain_is_pos'#@#variant 'h4/thm/extreal/sqrt_pos_le_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_le_mono' 'h4/thm/real/REAL_POS_MONO_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_le_compat_l' 'h4/thm/extreal/le_ladd_imp_'
0. 'coq/Coq_Reals_Raxioms_Rlt_asym' 'h4/thm/extreal/lt_antisym_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_divide_xO_xO' 'h4/thm/numpair/tri_LE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_pos_l'#@#variant 'h4/thm/arithmetic/EXP_BASE_LT_MONO_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_shiftl_opp_r' 'h4/thm/HolSmt/r131_'#@#variant
0. 'coq/Coq_QArith_Qcanon_Q_apart_0_1'#@#variant 'h4/thm/ieee/ccode_distinct_1'
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_Ropp' 'h4/thm/integer/INT_ABS_NEG_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_nlt_ge' 'h4/thm/arithmetic/NOT_LESS_'
0. 'coq/Coq_Bool_Bool_diff_false_true' 'h4/thm/ieee/roundmode_distinct_4'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_le_iff' 'h4/thm/extreal/le_max_'
0. 'coq/Coq_ZArith_BinInt_Z_ldiff_land' 'h4/thm/real/REAL_SUB_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div_1_r' 'h4/thm/rat/RAT_SUB_RID_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lcm_1_r'#@#variant 'h4/thm/arithmetic/PRE_SUB1_'#@#variant
0. 'coq/Coq_Reals_RIneq_Req_le' 'h4/thm/HolSmt/t007_'
0. 'coq/Coq_NArith_BinNat_N_clearbit_spec_prime'#@#variant 'h4/thm/HolSmt/r131_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_nle_gt' 'h4/thm/integer/int_le_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_sub' 'h4/thm/real/REAL_SUB_ADD_'
0. 'coq/Coq_NArith_BinNat_N_ge_le_iff' 'h4/thm/string/string_ge_def_'#@#variant
0. 'coq/Coq_Arith_Mult_mult_S_lt_compat_l' 'h4/thm/arithmetic/EXP_BASE_LEQ_MONO_SUC_IMP_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_mul_l' 'h4/thm/arithmetic/LESS_IMP_LESS_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_ngt' 'h4/thm/real/REAL_NOT_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pred_succ' 'h4/thm/numRing/num_rewrites_tLLRRRR'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zplus_le_compat_l' 'h4/thm/integer/INT_LT_LADD_IMP_'
0. 'coq/Coq_Reals_Rminmax_R_min_glb_iff' 'h4/thm/arithmetic/MIN_LT_e1'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_lt_mono_pos_r'#@#variant 'h4/thm/logroot/EXP_LE_ISO_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_lt_mono' 'h4/thm/numeral/numeral_lt_4'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_le_mono_l' 'h4/thm/arithmetic/LT_ADD_LCANCEL_'
0. 'coq/Coq_Reals_Rbasic_fun_Rmin_l' 'h4/thm/extreal/min_le1_'
0. 'coq/Coq_ZArith_BinInt_Z_pred_succ' 'h4/thm/transc/ATN_TAN_'
0. 'coq/Coq_Arith_PeanoNat_Nat_ldiff_diag' 'h4/thm/real/REAL_SUB_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_diag' 'h4/thm/numeral/iSQR_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_compare' 'h4/thm/toto/qk_numOrd_def_'
0. 'coq/Coq_Structures_OrderedTypeEx_N_as_OT_lt_not_eq' 'h4/thm/prim_rec/NOT_LESS_EQ_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lcm_1_r' 'h4/thm/integer/INT_ADD_CALCULATE_1'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_nonneg' 'h4/thm/arithmetic/FACT_LESS_'
0. 'coq/Coq_Bool_Bool_negb_involutive' 'h4/thm/extreal/neg_neg_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lxor_m1_l'#@#variant 'h4/thm/HolSmt/r129_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mod_1_l'#@#variant 'h4/thm/arithmetic/ZERO_MOD_'#@#variant
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_iff' 'h4/thm/DeepSyntax/deep_form_11_5'
0. 'coq/Coq_Lists_List_app_nil_l' 'h4/thm/fmapal/optry_e1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_pos_l'#@#variant 'h4/thm/logroot/LT_EXP_ISO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_succ_diag_r' 'h4/thm/prim_rec/LESS_SUC_REFL_'
0. 'coq/Coq_ZArith_Znat_Zabs_nat_N' 'h4/thm/complex/complex_of_num_'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qcopp_involutive' 'h4/thm/integer/INT_DIV_CALCULATE_e4'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_pos_le'#@#variant 'h4/thm/divides/DIVIDES_LE_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_of_Qc' 'h4/thm/realax/hreal_of_real_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_lxor_l' 'h4/thm/rat/RAT_AINV_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pred_le_mono' 'h4/thm/bit/TWOEXP_MONO_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_le_refl' 'h4/thm/rat/RAT_LEQ_REF_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_0_discr' 'h4/thm/toto/num_dt_distinct_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_succ_r' 'h4/thm/arithmetic/LE_e1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_1_l'#@#variant 'h4/thm/arithmetic/ZERO_LESS_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_0_l' 'h4/thm/HolSmt/r128_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_pow' 'h4/thm/complex/COMPLEX_NEG_LDIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_add_lt_sub_r' 'h4/thm/real/REAL_LE_SUB_LADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_diag' 'h4/thm/arithmetic/MAX_IDEM_'
0. 'coq/Coq_ZArith_BinInt_Z_nlt_ge' 'h4/thm/rat/RAT_LEQ_LES_'
0. 'coq/Coq_NArith_BinNat_N_gt_lt_iff' 'h4/thm/HolSmt/r103_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftr_shiftr' 'h4/thm/frac/FRAC_SUB_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lcm_diag' 'h4/thm/extreal/max_refl_'
0. 'coq/Coq_NArith_Ndigits_Nless_def_4' 'h4/thm/quote/index_compare_def_e8'
0. 'coq/Coq_Reals_R_sqrt_sqrt_positivity'#@#variant 'h4/thm/extreal/le_inv_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_setbit_spec_prime'#@#variant 'h4/thm/complex/COMPLEX_SUB_RNEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_pred_l' 'h4/thm/numpair/nsnd_le_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_pos'#@#variant 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_NArith_Ndigits_Nless_def_3' 'h4/thm/quote/index_compare_def_e8'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_lub_lt_iff' 'h4/thm/util_prob/MAX_LE_X_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_lteq' 'h4/thm/real/REAL_LE_LT_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_pos_neg'#@#variant 'h4/thm/extreal/mul_lt_'#@#variant
0. 'coq/Coq_ZArith_Znat_Z2N_inj_pos' 'h4/thm/ieee/Exponent_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_nonneg_nonneg' 'h4/thm/integer/INT_LT_MUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_succ_l' 'h4/thm/arithmetic/ADD_e1'
0. 'coq/Coq_ZArith_BinInt_Z_odd_1' 'h4/thm/ieee/Plus_zero_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_succ_r_prime' 'h4/thm/arithmetic/MULT_CLAUSES_e5'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_setbit_spec_prime'#@#variant 'h4/thm/extreal/sub_rneg_'
0. 'coq/Coq_Reals_RIneq_Rminus_0_l' 'h4/thm/numeral/texp_help_def_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_lt_mono_r' 'h4/thm/rat/RAT_LES_RADD_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_divide_mono_r' 'h4/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Init_Peano_plus_n_Sm' 'h4/thm/complex/COMPLEX_NEG_RDIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_lcm_l' 'h4/thm/real/REAL_LE_MAX1_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ge_le_iff' 'h4/thm/string/string_gt_def_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_sub_le_add_r' 'h4/thm/arithmetic/SUB_LEFT_LESS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_quot_le_mono'#@#variant 'h4/thm/real/REAL_LE_RMUL_IMP_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_divide_refl' 'h4/thm/rat/RAT_LEQ_REF_'
0. 'coq/Coq_Reals_RIneq_INR_IZR_INZ' 'h4/thm/rat/rat_dnm_def_'
0. 'coq/Coq_Reals_RIneq_succ_IZR' 'h4/thm/integer/int_of_num_e1'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_lteq' 'h4/thm/rat/rat_leq_def_'
0. 'coq/Coq_ZArith_BinInt_Z_gcd_0_r' 'h4/thm/arithmetic/PRE_SUB1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_lt_mono' 'h4/thm/integerRing/int_rewrites_tLRRRLRRRR'
0. 'coq/Coq_NArith_BinNat_N_mul_divide_mono_l' 'h4/thm/integer/INT_LT_LADD_IMP_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_glb_lt_iff' 'h4/thm/arithmetic/MIN_LE_e1'
0. 'coq/Coq_ZArith_BinInt_Z_mul_opp_l' 'h4/thm/extreal/mul_lneg_'
0. 'coq/Coq_NArith_BinNat_N_pow_le_mono_r_iff'#@#variant 'h4/thm/int_arith/justify_divides_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_eq_cases' 'h4/thm/string/string_le_def_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_shuffle3' 'h4/thm/HolSmt/r220_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_lt_mono' 'h4/thm/transc/EXP_MONO_LT_'
0. 'coq/Coq_Reals_Rfunctions_Rpow_mult_distr' 'h4/thm/complex/COMPLEX_SUB_SCALAR_RMUL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sgn_nonneg'#@#variant 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Reals_RIneq_Rmult_opp_opp' 'h4/thm/integer/INT_NEG_MUL2_'
0. 'coq/Coq_Reals_Rbasic_fun_abs_IZR' 'h4/thm/quote/index_size_def_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_eq_1'#@#variant 'h4/thm/gcd/GCD_EQ_0_'
0. 'coq/Coq_Reals_RIneq_Ropp_involutive' 'h4/thm/integer/INT_NEGNEG_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_lt_mono_neg_r' 'h4/thm/rat/RAT_LES_RMUL_NEG_'#@#variant
0. 'coq/Coq_Arith_Plus_plus_le_compat_r' 'h4/thm/arithmetic/LESS_MONO_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ge_le_iff' 'h4/thm/arithmetic/GREATER_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_1_succ' 'h4/thm/prim_rec/LESS_0_'
0. 'coq/Coq_NArith_BinNat_N_log2_up_nonneg' 'h4/thm/integral/LT_0_'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_0_l' 'h4/thm/integer/INT_DIV_0_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_min_l' 'h4/thm/arithmetic/LESS_MOD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_setbit_spec_prime'#@#variant 'h4/thm/extreal/extreal_div_def_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_lt_mono_l' 'h4/thm/real/REAL_LT_LADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_lt_iff' 'h4/thm/arithmetic/MAX_LE_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_pow' 'h4/thm/complex/COMPLEX_NEG_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_lt_succ' 'h4/thm/prim_rec/LESS_SUC_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_succ_not_1' 'h4/thm/quote/index_distinct_1'
0. 'coq/Coq_Reals_Rtrigo1_sin_shift'#@#variant 'h4/thm/transc/SIN_COS_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_neq_0_succ' 'h4/thm/transc/EXP_NZ_'#@#variant
0. 'coq/Coq_ZArith_Zdiv_Zdiv_mult_cancel_l' 'h4/thm/real/REAL_DIV_LMUL_CANCEL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_simpl_l' 'h4/thm/real/REAL_ADD_SUB_'
0. 'coq/Coq_Reals_Ratan_atan_opp' 'h4/thm/complex/COMPLEX_INV_NEG_'#@#variant
0. 'coq/Coq_fourier_Fourier_util_Rle_zero_pos_plus1'#@#variant 'h4/thm/extreal/sqrt_pos_lt_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_opp_r' 'h4/thm/complex/complex_div_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_le_trans' 'h4/thm/real/REAL_LTE_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lxor_eq_0_iff' 'h4/thm/real/REAL_SUB_0_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_le_compat_r' 'h4/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mod_1_r'#@#variant 'h4/thm/numeral/numeral_exp_0'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_le_mono_r' 'h4/thm/arithmetic/LESS_EQ_MONO_ADD_EQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_total' 'h4/thm/integer/INT_LT_TOTAL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_odd_1' 'h4/thm/float/FLOAT_INFINITIES_SIGNED_0'#@#variant
0. 'coq/Coq_Arith_Gt_gt_irrefl' 'h4/thm/real/REAL_LT_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ge_le_iff' 'h4/thm/integer/int_ge_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_le_mono_r'#@#variant 'h4/thm/extreal/le_lmul_imp_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_le_incl' 'h4/thm/extreal/lt_imp_le_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_lt_mono_r_iff' 'h4/thm/rat/RAT_LES_LMUL_POS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lor_diag' 'h4/thm/extreal/max_refl_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_1_l' 'h4/thm/numeral/numeral_texp_help_0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_lor' 'h4/thm/transc/EXP_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_diag' 'h4/thm/rat/RAT_SUB_ID_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_divide_cancel_l' 'h4/thm/integer/INT_DIVIDES_MUL_BOTH_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_succ_l' 'h4/thm/complex/COMPLEX_NEG_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_add_pos_r'#@#variant 'h4/thm/arithmetic/X_LE_X_EXP_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_refl' 'h4/thm/real/REAL_LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_0_r' 'h4/thm/numeral/numeral_exp_0'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pow_le_mono_l' 'h4/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_le_mono' 'h4/thm/prim_rec/LESS_MONO_'
0. 'coq/Coq_ZArith_Znat_Zabs2Nat_inj_pos' 'h4/thm/hrat/hrat_sucint_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_Even_succ' 'h4/thm/binary_ieee/exp_gt2_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_le_compat_r' 'h4/thm/arithmetic/LESS_MONO_ADD_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_iff' 'h4/thm/integer/INT_EQ_CALCULATE_0'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_le_compat_r' 'h4/thm/hrat/TRAT_ADD_WELLDEFINED_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mod_0_l' 'h4/thm/integer/INT_QUOT_0_'#@#variant
0. 'coq/Coq_Init_Peano_plus_Sn_m' 'h4/thm/arithmetic/ADD_CLAUSES_2'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_setbit_spec_prime'#@#variant 'h4/thm/integer/INT_SUB_CALCULATE_'
0. 'coq/Coq_ZArith_Znat_Zabs2N_id' 'h4/thm/realax/TREAL_BIJ_0'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_lt_mono_r' 'h4/thm/hreal/HRAT_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lnot_0_l' 'h4/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rgt_not_eq' 'h4/thm/real/REAL_LT_IMP_NE_'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_nonneg' 'h4/thm/transc/ATN_BOUNDS_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_ldiff_ldiff_l' 'h4/thm/arithmetic/SUB_PLUS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ones_equiv'#@#variant 'h4/thm/numeral/numeral_pre_e4'
0. 'coq/Coq_PArith_BinPos_Pos_max_le_iff' 'h4/thm/arithmetic/MAX_LT_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_diag'#@#variant 'h4/thm/real/REAL_DOUBLE_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zmult_gt_0_compat' 'h4/thm/intExtension/INT_LT_ADD_NEG_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_lcm_l' 'h4/thm/realax/HREAL_LT_ADDL_'
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_le_mono' 'h4/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_lteq' 'h4/thm/rat/rat_leq_def_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_pos_pos' 'h4/thm/realax/REAL_LT_MUL_'
0. 'coq/Coq_ZArith_Znat_Z2N_inj_pred' 'h4/thm/rat/RAT_AINV_CALCULATE_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_pos'#@#variant 'h4/thm/real/REAL_LT_INV_EQ_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_lt_mono_pos_l'#@#variant 'h4/thm/arithmetic/EXP_BASE_LE_MONO_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_succ_pred'#@#variant 'h4/thm/transc/LN_LE_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_opp_succ' 'h4/thm/numeral/iDUB_removal_1'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_nonneg_pos'#@#variant 'h4/thm/extreal/let_add_'#@#variant
0. 'coq/Coq_Reals_Ratan_Ropp_div' 'h4/thm/arithmetic/ADD_e1'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_lt_mono_r_iff'#@#variant 'h4/thm/arithmetic/EXP_BASE_LE_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_factor_l' 'h4/thm/integer/INT_DIVIDES_MUL_0'
0. 'coq/Coq_Reals_RIneq_Rgt_ge' 'h4/thm/extreal/lt_imp_le_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_sub_le_add_r' 'h4/thm/integer/INT_LT_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_gcd_divide_r' 'h4/thm/real/REAL_MIN_LE2_'
0. 'coq/Coq_NArith_Ndist_ni_le_refl' 'h4/thm/integer/INT_LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_xO_r' 'h4/thm/arithmetic/ADD_CLAUSES_e3'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_lt_mono' 'h4/thm/numeral/numeral_lt_3'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_lt_mono_r' 'h4/thm/arithmetic/LESS_MONO_ADD_EQ_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_glb_iff' 'h4/thm/arithmetic/MIN_LE_e1'
0. 'coq/Coq_Reals_Rtrigo_calc_rad_deg' 'h4/thm/transc/ATN_e2'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_inj_l' 'h4/thm/integer/INT_EQ_RMUL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_neg'#@#variant 'h4/thm/real/REAL_NEG_LT0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_0_r'#@#variant 'h4/thm/arithmetic/MOD_1_'#@#variant
0. 'coq/Coq_ZArith_Znat_Z_nat_N' 'h4/thm/rat/RAT_SGN_CALCULATE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_opp' 'h4/thm/float/REAL_ABS_INV_'
0. 'coq/Coq_Init_Peano_plus_Sn_m' 'h4/thm/arithmetic/PRE_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_div2_double'#@#variant 'h4/thm/bit/LOG2_TWOEXP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pred_div2_up' 'h4/thm/complex/COMPLEX_OF_REAL_NEG_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_divide_factor_l' 'h4/thm/real/REAL_LE_MAX1_'
0. 'coq/Coq_Reals_RIneq_Ropp_minus_distr_prime' 'h4/thm/rat/RAT_AINV_SUB_'
0. 'coq/Coq_ZArith_BinInt_Z_gcd_diag' 'h4/thm/arithmetic/TIMES2_'#@#variant
0. 'coq/Coq_PArith_Pnat_SuccNat2Pos_inj_iff' 'h4/thm/integer/INT_INJ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_0_iff' 'h4/thm/integer/INT_NEG_EQ0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_lxor_l' 'h4/thm/frac/FRAC_AINV_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_1' 'h4/thm/intExtension/INT_ABS_CALCULATE_0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lnot_0_l' 'h4/thm/HolSmt/r221_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_gt_cases' 'h4/thm/integer/INT_LET_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_divide_mono_r' 'h4/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_0_iff' 'h4/thm/real/REAL_NEG_EQ0_'#@#variant
0. 'coq/Coq_Reals_Rtrigo_calc_sqrt2_neq_0'#@#variant 'h4/thm/extreal/ne_02_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lxor_nilpotent' 'h4/thm/arithmetic/ABS_DIFF_EQS_'
0. 'coq/Coq_NArith_BinNat_N_lcm_eq_0' 'h4/thm/rat/RAT_NO_ZERODIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_lteq' 'h4/thm/extreal/le_lt_'
0. 'coq/Coq_ZArith_BinInt_Zminus_succ_l' 'h4/thm/complex/COMPLEX_NEG_LDIV_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qmult_lt_r'#@#variant 'h4/thm/real/REAL_LT_RMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_pred_of_succ_nat' 'h4/thm/frac/frac_sgn_def_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_null_iff' 'h4/thm/integer/INT_NEG_EQ0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_le_lin'#@#variant 'h4/thm/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_le_compat_l' 'h4/thm/real/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_eq_0' 'h4/thm/intExtension/INT_NO_ZERODIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_1_succ' 'h4/thm/integral/LT_0_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_refl' 'h4/thm/extreal/le_refl_'
0. 'coq/Coq_Reals_Ratan_Alt_PI_eq' 'h4/thm/rat/rat_of_num_def_0'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_succ_r' 'h4/thm/arithmetic/LE_e1'
0. 'coq/Coq_Numbers_Cyclic_ZModulo_ZModulo_Ptail_pos'#@#variant 'h4/thm/complex/MODU_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_lteq' 'h4/thm/integer/INT_LE_LT_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_iff' 'h4/thm/ieee/roundmode_EQ_roundmode_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_le_mono_l' 'h4/thm/hreal/HRAT_LT_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ldiff_m1_r'#@#variant 'h4/thm/numeral/numeral_distrib_11'#@#variant
0. 'coq/Coq_NArith_BinNat_N_divide_sub_r' 'h4/thm/divides/DIVIDES_ADD_1_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_sub_r' 'h4/thm/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_of_Z' 'h4/thm/toto/num2cpn_cpn2num_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftr_shiftr' 'h4/thm/logroot/EXP_MUL_'
0. 'coq/Coq_ZArith_BinInt_Z_divide_factor_r' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_1'
0. 'coq/Coq_NArith_BinNat_N_neq_0_succ' 'h4/thm/intto/BIT1_nz_'
0. 'coq/Coq_ZArith_Znat_Zabs2Nat_id' 'h4/thm/num/num_ISO_DEF_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_succ_l' 'h4/thm/complex/COMPLEX_MUL_LNEG_'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qcmult_inv_l'#@#variant 'h4/thm/real/REAL_MUL_LINV_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_factor_l' 'h4/thm/real/REAL_LE_MAX1_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_lt_mono_pos_r'#@#variant 'h4/thm/logroot/EXP_LT_ISO_'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_xO'#@#variant 'h4/thm/rat/RAT_AINV_CALCULATE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_neq' 'h4/thm/integer/INT_LT_IMP_NE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_lub_lt' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_e2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_le_mono_r'#@#variant 'h4/thm/real/REAL_LE_LMUL_IMP_'#@#variant
0. 'coq/Coq_PArith_Pnat_SuccNat2Pos_inj_succ' 'h4/thm/quote/index_size_def_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_id' 'h4/thm/extreal/max_refl_'
0. 'coq/Coq_NArith_BinNat_N_pow_1_r' 'h4/thm/HolSmt/r223_'
0. 'coq/Coq_Init_Peano_max_l' 'h4/thm/real/REAL_MAX_ALT_e1'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_divide_l' 'h4/thm/extreal/min_le1_'
0. 'coq/Coq_NArith_BinNat_N_add_lt_mono_r' 'h4/thm/arithmetic/LE_ADD_RCANCEL_'
0. 'coq/Coq_Bool_Bool_diff_true_false' 'h4/thm/float/not2eqz_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_ge_le_iff' 'h4/thm/real/real_ge_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lcm_1_r' 'h4/thm/integer/INT_ADD_CALCULATE_1'
0. 'coq/Coq_ZArith_BinInt_Z_opp_max_distr' 'h4/thm/complex/COMPLEX_EXP_SUB_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_opp_r' 'h4/thm/real/REAL_MUL_RNEG_'
0. 'coq/Coq_QArith_Qround_Qceiling_Z' 'h4/thm/num/num_ISO_DEF_0'
0. 'coq/Coq_QArith_Qreduction_Qred_opp' 'h4/thm/DeepSyntax/neginf_def_2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_succ' 'h4/thm/numRing/num_rewrites_tLRLRRRRRR'
0. 'coq/Coq_ZArith_BinInt_Z_shiftl_opp_r' 'h4/thm/frac/frac_sub_def_'
0. 'coq/Coq_NArith_BinNat_N_add_le_mono_r' 'h4/thm/hreal/HRAT_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_succ_lt_mono' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_succ_r' 'h4/thm/real/REAL_MUL_RNEG_'
0. 'coq/Coq_ZArith_Zlogarithm_log_inf_correct1' 'h4/thm/realax/REAL_POS_'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_iff' 'h4/thm/string/ORD_11_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_opp_opp' 'h4/thm/complex/COMPLEX_NEG_DIV2_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_pow' 'h4/thm/integer/INT_MUL_CALCULATE_1'
0. 'coq/Coq_Arith_Gt_gt_asym' 'h4/thm/integer/INT_LT_GT_'
0. 'coq/Coq_NArith_Nnat_N2Nat_id' 'h4/thm/string_num/n2s_s2n_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_le_mono' 'h4/thm/arithmetic/LESS_EQ_MONO_'
0. 'coq/Coq_NArith_Ndigits_Nless_def_2' 'h4/thm/toto/qk_numeralOrd_6'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_double'#@#variant 'h4/thm/util_prob/lg_inv_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_nge' 'h4/thm/arithmetic/NOT_LESS_EQUAL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_le_mono' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_lt_mono' 'h4/thm/integer/INT_LE_NEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_ge_cases' 'h4/thm/integer/INT_LE_TOTAL_'
0. 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_le_lt_iff' 'h4/thm/HolSmt/r096_'
0. 'coq/Coq_NArith_Ndigits_Nless_def_1' 'h4/thm/toto/qk_numeralOrd_6'
0. 'coq/Coq_QArith_QArith_base_Qle_refl' 'h4/thm/integer/INT_LE_REFL_'
0. 'coq/Coq_Numbers_Cyclic_DoubleCyclic_DoubleBase_wB_pos'#@#variant 'h4/thm/binary_ieee/zero_le_twopow_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_null'#@#variant 'h4/thm/intExtension/INT_SGN_CLAUSES_e2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_glb_lt' 'h4/thm/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_divide_iff' 'h4/thm/arithmetic/MIN_LT_e1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_le_incl' 'h4/thm/integer/INT_LT_IMP_LE_'
0. 'coq/Coq_ZArith_Zpow_facts_Zpower_gt_1'#@#variant 'h4/thm/extreal/let_mul_'#@#variant
0. 'coq/Coq_Bool_Bool_diff_true_false' 'h4/thm/binary_ieee/rounding_distinct_e5'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_lt_mono_r' 'h4/thm/real/REAL_LE_SUB_CANCEL2_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_square_spec' 'h4/thm/numeral/iDUB_'
0. 'coq/Coq_ZArith_Znat_Z2Nat_inj_lt'#@#variant 'h4/thm/float/FLOAT_GT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_lt_mono_l' 'h4/thm/integer/INT_LE_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_le_mono_r'#@#variant 'h4/thm/arithmetic/EXP_BASE_LEQ_MONO_IMP_'#@#variant
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_int31_specs' 'h4/thm/integerRing/int_is_ring_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_negb_even' 'h4/thm/ratRing/rat_ring_thms_e17'#@#variant
0. 'coq/Coq_QArith_Qminmax_Q_min_glb_iff' 'h4/thm/extreal/le_min_'
0. 'coq/Coq_ZArith_BinInt_Z_add_pos_pos' 'h4/thm/integer/TINT_LT_MUL_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mod_1_r'#@#variant 'h4/thm/util_prob/logr_1_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_succ_le_mono' 'h4/thm/integerRing/int_rewrites_tLRRRLRRR'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_nle' 'h4/thm/arithmetic/NOT_LESS_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_ge_le_iff' 'h4/thm/arithmetic/GREATER_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_succ_l' 'h4/thm/frac/FRAC_AINV_LMUL_'
0. 'coq/Coq_Reals_RIneq_Rplus_lt_le_0_compat'#@#variant 'h4/thm/extreal/let_mul_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_nonneg' 'h4/thm/integral/LT_0_'
0. 'coq/Coq_NArith_BinNat_N_nlt_ge' 'h4/thm/real/real_lte_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pos_pred_succ' 'h4/thm/ieee/roundmode_BIJ_0'
0. 'coq/Coq_PArith_BinPos_Pos_lt_succ_diag_r' 'h4/thm/real/REAL_POS_INFLATE_'
0. 'coq/Coq_Arith_Mult_mult_le_compat_l' 'h4/thm/real/REAL_LT_IADD_'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_succ' 'h4/thm/extreal/extreal_ainv_def_e2'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_succ_r' 'h4/thm/rat/RAT_AINV_RMUL_'
0. 'coq/Coq_PArith_BinPos_Pos_add_1_l' 'h4/thm/integer/INT_SUB_REDUCE_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_asymm' 'h4/thm/realax/HREAL_LT_GT_'
0. 'coq/Coq_Arith_Compare_dec_not_lt' 'h4/thm/HolSmt/t015_'
0. 'coq/Coq_ZArith_Zlogarithm_log_inf_correct1'#@#variant 'h4/thm/realax/REAL_POS_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_divide_refl' 'h4/thm/extreal/le_refl_'
0. 'coq/Coq_QArith_QOrderedType_QOrder_not_gt_le' 'h4/thm/real/REAL_LET_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_pos_pos' 'h4/thm/realax/TREAL_LT_MUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftl_mul_pow2'#@#variant 'h4/thm/HolSmt/r131_'#@#variant
0. 'coq/Coq_Sets_Uniset_leb_refl' 'h4/thm/arithmetic/LESS_EQ_REFL_'
0. 'coq/Coq_QArith_QArith_base_Qeq_refl' 'h4/thm/poly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sub_min_distr_l' 'h4/thm/arithmetic/EXP_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_nge' 'h4/thm/rat/RAT_LEQ_LES_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_lteq' 'h4/thm/integer/INT_LE_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_min_l' 'h4/thm/arithmetic/SUB_LESS_EQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lcm_1_r' 'h4/thm/rat/RAT_ADD_RID_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_succ_diag_r' 'h4/thm/arithmetic/LESS_EQ_SUC_REFL_'
0. 'coq/Coq_Arith_Gt_gt_asym' 'h4/thm/arithmetic/LESS_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_lcm_r' 'h4/thm/integer/INT_DIVIDES_MUL_e1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_divide_mono_r' 'h4/thm/integer/TINT_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_l' 'h4/thm/extreal/le_ladd_imp_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_0_l' 'h4/thm/rat/RAT_SUB_LID_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Zsucc_pred' 'h4/thm/string/EXPLODE_IMPLODE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_0_discr' 'h4/thm/num/ZERO_REP_DEF_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mod_0_l' 'h4/thm/integer/INT_MOD0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_pred_double_succ' 'h4/thm/numeral/numeral_suc_1'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_double' 'h4/thm/complex/COMPLEX_OF_REAL_NEG_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_opp' 'h4/thm/float/REAL_ABS_INV_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sub_add_distr' 'h4/thm/arithmetic/SUB_PLUS_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_sub_lt_add_r' 'h4/thm/integer/INT_LE_SUB_RADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_eq_le_incl' 'h4/thm/realax/TREAL_EQ_AP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sub_succ' 'h4/thm/arithmetic/SUB_MONO_EQ_'
0. 'coq/Coq_NArith_BinNat_N_succ_le_mono' 'h4/thm/numeral/numeral_lt_4'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_sub_diag' 'h4/thm/arithmetic/ABS_DIFF_EQS_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_le_max_r' 'h4/thm/extreal/le_max2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_setbit_spec_prime'#@#variant 'h4/thm/extreal/extreal_sub_add_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_nlt_ge' 'h4/thm/integer/INT_NOT_LE_'
0. 'coq/Coq_Reals_Rpower_arcsinh_lt' 'h4/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_QArith_Qreduction_Qred_comp' 'h4/thm/divides/LT_PRIMES_'
0. 'coq/Coq_ZArith_BinInt_Z_min_le_compat_r' 'h4/thm/hrat/TRAT_MUL_WELLDEFINED_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_succ_diag_r' 'h4/thm/real/REAL_POS_INFLATE_'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_div2' 'h4/thm/rat/RAT_AINV_CALCULATE_'
0. 'coq/Coq_Reals_Rtrigo1_cos_neg' 'h4/thm/numeral/numeral_add_12'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_nonneg' 'h4/thm/integral/LT_0_'
0. 'coq/Coq_Numbers_Natural_BigN_Nbasic_plusnS' 'h4/thm/real/REAL_NEG_RMUL_'
0. 'coq/Coq_NArith_BinNat_N_eq_add_0' 'h4/thm/gcd/GCD_EQ_0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_asymm' 'h4/thm/rat/RAT_LES_ANTISYM_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pow_le_mono_r_iff'#@#variant 'h4/thm/real/REAL_LE_LMUL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_even_1' 'h4/thm/ieee/Minus_zero_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_lt_mono_pos_r'#@#variant 'h4/thm/intExtension/INT_GT_RMUL_EXP_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_max_le_compat_r' 'h4/thm/hrat/TRAT_ADD_WELLDEFINED_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_involutive' 'h4/thm/integer/INT_REM_CALCULATE_2'
0. 'coq/Coq_ZArith_BinInt_Z_succ_inj_wd' 'h4/thm/numRing/num_rewrites_tLRRRRRRLR'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_mul_assoc' 'h4/thm/hrat/TRAT_MUL_ASSOC_'#@#variant
0. 'coq/Coq_ZArith_Znumtheory_not_prime_1'#@#variant 'h4/thm/float/ZERO_NOT_NAN_0'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_id' 'h4/thm/binary_ieee/float_compare_BIJ_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_Zpos' 'h4/thm/integer/INT_LT_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_le_mono_r' 'h4/thm/arithmetic/LESS_MONO_ADD_EQ_'
0. 'coq/Coq_Numbers_Cyclic_DoubleCyclic_DoubleBase_wB_pos'#@#variant 'h4/thm/binary_ieee/zero_lt_twopow_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pos_pred_succ' 'h4/thm/ieee/ccode_BIJ_0'
0. 'coq/Coq_Arith_PeanoNat_Nat_min_le_iff' 'h4/thm/arithmetic/MIN_LT_0'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_le_lin'#@#variant 'h4/thm/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_succ_l' 'h4/thm/real/REAL_MUL_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div_mul' 'h4/thm/real/REAL_DIV_RMUL_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_ge_cases' 'h4/thm/arithmetic/LESS_EQ_CASES_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gt_lt_iff' 'h4/thm/integer/int_gt_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_pred_succ' 'h4/thm/string/EXPLODE_IMPLODE_'#@#variant
0. 'coq/Coq_Sets_Powerset_facts_Empty_set_zero' 'h4/thm/fmapal/optry_e1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_nonneg' 'h4/thm/prim_rec/LESS_0_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_1_r'#@#variant 'h4/thm/arithmetic/DIV2_def_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_land_diag' 'h4/thm/extreal/min_refl_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_greatest' 'h4/thm/divides/DIVIDES_SUB_'
0. 'coq/Coq_ZArith_Znumtheory_rel_prime_mult' 'h4/thm/divides/DIVIDES_ADD_1_'
0. 'coq/Coq_Reals_RIneq_cond_pos'#@#variant 'h4/thm/binary_ieee/zero_lt_twopow_'#@#variant
0. 'coq/Coq_Reals_RIneq_Ropp_mult_distr_l' 'h4/thm/frac/FRAC_AINV_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_divide_mono_r' 'h4/thm/extreal/le_radd_imp_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_pos_l'#@#variant 'h4/thm/integer/INT_LT_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_nle' 'h4/thm/real/REAL_NOT_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_lteq' 'h4/thm/integer/INT_LE_CALCULATE_'
0. 'coq/Coq_PArith_BinPos_Pos_mul_lt_mono_l' 'h4/thm/integer/INT_LT_LADD_'
0. 'coq/Coq_QArith_Qminmax_Q_le_min_r' 'h4/thm/real/REAL_MIN_LE2_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_irrefl' 'h4/thm/integer/TINT_LT_REFL_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftl_mul_pow2'#@#variant 'h4/thm/integer/int_sub_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_le_lt_mono' 'h4/thm/real/REAL_LET_ADD2_'
0. 'coq/Coq_ZArith_Znat_Zabs2Nat_inj_neg' 'h4/thm/rat/RAT_SGN_CALCULATE_'
0. 'coq/Coq_PArith_BinPos_Pos_divide_mul_l' 'h4/thm/integer/INT_DIVIDES_LMUL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_inj_wd' 'h4/thm/real/REAL_INV_INJ_'
0. 'coq/Coq_PArith_BinPos_Pos_add_1_l' 'h4/thm/rat/RAT_SUB_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_nonneg_pos'#@#variant 'h4/thm/util_prob/REAL_LT_LE_MUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_lt_mono_l' 'h4/thm/arithmetic/LT_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_divide_mono_l' 'h4/thm/real/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lcm_1_l'#@#variant 'h4/thm/HolSmt/r128_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_divide_mono_r' 'h4/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lcm_1_l' 'h4/thm/integer/INT_SUB_REDUCE_1'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div_str_pos'#@#variant 'h4/thm/bit/DIV_GT0_'#@#variant
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_phi' 'h4/thm/ASCIInumbers/toString_toNum_cancel_'#@#variant
0. 'coq/Coq_QArith_Qabs_Qle_Qabs' 'h4/thm/real/ABS_LE_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_phi' 'h4/thm/binary_ieee/rounding_BIJ_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_lxor_l' 'h4/thm/rat/RAT_AINV_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_divide_mono_l' 'h4/thm/integer/TINT_LT_ADD_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_irrefl' 'h4/thm/real/REAL_LT_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_ldiff' 'h4/thm/integer/INT_SUB_LNEG_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_opp_diag_r' 'h4/thm/integer/INT_ADD_RINV_'#@#variant
0. 'coq/Coq_Reals_Ratan_Ratan_seq_opp' 'h4/thm/real/POW_ABS_'
0. 'coq/Coq_ZArith_Zpow_facts_Zpower_pos_pos'#@#variant 'h4/thm/extreal/pow_pos_lt_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_succ_diag_r' 'h4/thm/bit/BIT_B_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_min_id' 'h4/thm/arithmetic/MAX_IDEM_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_le_trans' 'h4/thm/integer/INT_LTE_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftl_opp_r' 'h4/thm/integer/int_sub_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_involutive' 'h4/thm/integerRing/int_calculate_12'
0. 'coq/Coq_Arith_Compare_dec_not_le' 'h4/thm/HolSmt/t015_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_opp_diag_l' 'h4/thm/integer/INT_ADD_LINV_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_iff' 'h4/thm/ASCIInumbers/toString_inj_'#@#variant
0. 'coq/Coq_Sets_Powerset_facts_Empty_set_zero' 'h4/thm/option/OPTION_CHOICE_def_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_max_l' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_0'
0. 'coq/Coq_ZArith_Znat_Zabs2Nat_id' 'h4/thm/ieee/ccode_BIJ_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_land_lnot_diag' 'h4/thm/hreal/HRAT_MUL_RINV_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_eq_iff'#@#variant 'h4/thm/integer/INT_ABS_EQ_ID_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_pow_0_r'#@#variant 'h4/thm/numeral/numeral_exp_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_le_mono_r' 'h4/thm/hreal/HRAT_LT_RMUL_'
0. 'coq/Coq_ZArith_BinInt_Z_succ_le_mono' 'h4/thm/arithmetic/LESS_EQ_MONO_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_0_l' 'h4/thm/numeral/numeral_texp_help_0'
0. 'coq/Coq_NArith_BinNat_N_ldiff_ldiff_l' 'h4/thm/arithmetic/SUB_RIGHT_SUB_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_double' 'h4/thm/extreal/extreal_abs_def_0'
0. 'coq/Coq_NArith_BinNat_N_sqrt_add_le' 'h4/thm/real/REAL_ABS_TRIANGLE_'
0. 'coq/Coq_ZArith_BinInt_Z_pred_le_mono' 'h4/thm/numeral/numeral_distrib_22'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_lcm_l' 'h4/thm/arithmetic/LESS_EQ_ADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_nlt_ge' 'h4/thm/integer/INT_NOT_LT_'
0. 'coq/Coq_ZArith_Zcompare_Zcompare_succ_compat' 'h4/thm/toto/num_dtOrd_7'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sub_max_distr_l' 'h4/thm/arithmetic/EXP_ADD_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_comparec' 'h4/thm/intto/pos_pos_thm_'
0. 'coq/Coq_Arith_PeanoNat_Nat_nlt_ge' 'h4/thm/extreal/extreal_lt_def_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_asymm' 'h4/thm/real/REAL_LT_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_le_iff' 'h4/thm/extreal/le_max_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_setbit_spec_prime'#@#variant 'h4/thm/frac/frac_div_def_'
0. 'coq/Coq_Reals_Rtrigo_calc_rad_deg' 'h4/thm/prim_rec/PRE_e1'
0. 'coq/Coq_Sets_Cpo_Cpo_cond' 'h4/thm/llist/LFINITE_fromList_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_lt_mono' 'h4/thm/integerRing/int_rewrites_tLRRRLRRRR'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_move_r' 'h4/thm/integer/INT_EQ_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_mod' 'h4/thm/integer/INT_MOD_PLUS_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_sqrt_2' 'h4/thm/real/REAL_THIRDS_BETWEEN_2'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_abs_0_iff' 'h4/thm/integer/INT_ABS_EQ0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_Zpos' 'h4/thm/real/REAL_OF_NUM_LE_'
0. 'coq/Coq_Reals_Rpower_arcsinh_le' 'h4/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Reals_R_sqrt_sqrt_lt_R0'#@#variant 'h4/thm/extreal/sqrt_pos_le_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_eq_le_incl' 'h4/thm/real/REAL_EQ_IMP_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_nge' 'h4/thm/integer/INT_NOT_LT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_le_compat_l' 'h4/thm/integer/TINT_LT_ADD_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_succ_diag_r' 'h4/thm/prim_rec/LESS_SUC_REFL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_ldiff_ldiff_l' 'h4/thm/logroot/EXP_MUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_clearbit_spec_prime'#@#variant 'h4/thm/frac/frac_sub_def_'
0. 'coq/Coq_NArith_BinNat_N_divide_lcm_r' 'h4/thm/extreal/le_max2_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_add_lt_sub_r' 'h4/thm/rat/RAT_RSUB_LES_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_negb_odd' 'h4/thm/integerRing/int_ring_thms_e17'#@#variant
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_double'#@#variant 'h4/thm/quote/index_size_def_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_shuffle3' 'h4/thm/HolSmt/r220_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_neq_succ_0' 'h4/thm/toto/num_dt_distinct_0'
0. 'coq/Coq_ZArith_Zquot_Z_rem_same' 'h4/thm/rat/RAT_SUB_ID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_pred_of_succ_nat' 'h4/thm/ratRing/rat_ring_thms_e17'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_0_r' 'h4/thm/arithmetic/LE_0'
0. 'coq/Coq_NArith_BinNat_N_lt_add_lt_sub_r' 'h4/thm/integer/INT_LE_SUB_RADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_succ_diag_r' 'h4/thm/prim_rec/LESS_SUC_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_odd_1' 'h4/thm/ieee/Minus_infinity_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div2_succ_double' 'h4/thm/prim_rec/PRE_e1'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_2' 'h4/thm/real/REAL_THIRDS_BETWEEN_tRRRL'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_eq_cases' 'h4/thm/string/string_le_def_'#@#variant
0. 'coq/Coq_ZArith_Zdiv_Zdiv_Zdiv'#@#variant 'h4/thm/arithmetic/DIV_DIV_DIV_MULT_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_opp_opp' 'h4/thm/real/REAL_NEG_MUL2_'
0. 'coq/Coq_ZArith_BinInt_Zpos_eq_iff' 'h4/thm/ieee/ccode_EQ_ccode_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_nonneg' 'h4/thm/divides/ZERO_LT_PRIMES_'
0. 'coq/Coq_NArith_BinNat_N_shiftl_1_l'#@#variant 'h4/thm/HolSmt/r221_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_succ_r' 'h4/thm/real/REAL_NEG_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_ngt' 'h4/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mod_1_l'#@#variant 'h4/thm/transc/ONE_RPOW_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_move_0_r' 'h4/thm/real/REAL_LNEG_UNIQ_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lt_eq_cases' 'h4/thm/arithmetic/GREATER_OR_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_glb_lt_iff' 'h4/thm/extreal/le_min_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_opp' 'h4/thm/quote/index_size_def_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_lt_mono_r' 'h4/thm/integer/INT_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_total' 'h4/thm/arithmetic/LESS_CASES_IMP_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_succ_l' 'h4/thm/frac/FRAC_AINV_LMUL_'
0. 'coq/Coq_NArith_BinNat_N_le_ngt' 'h4/thm/arithmetic/NOT_LESS_EQUAL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_succ_le_mono' 'h4/thm/numeral/numeral_lte_3'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_nonneg' 'h4/thm/prim_rec/LESS_0_'
0. 'coq/Coq_NArith_BinNat_N_shiftr_div_pow2'#@#variant 'h4/thm/frac/frac_sub_def_'
0. 'coq/Coq_QArith_Qcanon_Q_apart_0_1'#@#variant 'h4/thm/extreal/ne_02_'#@#variant
0. 'coq/Coq_Bool_Bool_diff_true_false' 'h4/thm/ieee/roundmode_distinct_2'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_bounded/0'#@#variant 'h4/thm/float/twogz_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_1' 'h4/thm/transc/SIN_0_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_inv_normc' 'h4/thm/extreal/extreal_ainv_def_e2'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_gt_lt_iff' 'h4/thm/rat/rat_gre_def_'
0. 'coq/Coq_PArith_BinPos_Pos_max_le_compat_r' 'h4/thm/arithmetic/LESS_MONO_MULT_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_iff' 'h4/thm/string/ORD_11_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_lt_mono_r' 'h4/thm/real/REAL_LE_SUB_CANCEL2_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_neq_0_succ' 'h4/thm/bit/TWOEXP_NOT_ZERO_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_lt_mono_r' 'h4/thm/arithmetic/LESS_MONO_ADD_EQ_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sub_le_mono_r' 'h4/thm/hrat/TRAT_ADD_WELLDEFINED_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_tan_gt_0'#@#variant 'h4/thm/transc/SIN_POS_PI2_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_le_max_r' 'h4/thm/real/REAL_LE_MAX2_'
0. 'coq/Coq_Reals_R_Ifp_Int_part_INR' 'h4/thm/extreal/extreal_of_num_def_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_succ_not_1' 'h4/thm/bit/TWOEXP_NOT_ZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lcm_divide_iff' 'h4/thm/util_prob/MAX_LE_X_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_pos_l'#@#variant 'h4/thm/transc/RPOW_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_sub_le_add_r' 'h4/thm/real/REAL_LT_ADD_SUB_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_ngt' 'h4/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_NArith_BinNat_N_sub_diag' 'h4/thm/arithmetic/ABS_DIFF_EQS_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_total' 'h4/thm/realax/REAL_LT_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lnot_ones' 'h4/thm/realax/REAL_ADD_LINV_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_total' 'h4/thm/hreal/HRAT_LT_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_ngt' 'h4/thm/arithmetic/NOT_LESS_EQUAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lxor_eq_0_iff' 'h4/thm/real/REAL_SUB_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_pred_succ' 'h4/thm/string/EXPLODE_IMPLODE_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zsucc_lt_compat' 'h4/thm/hrat/TRAT_INV_WELLDEFINED_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qplus_le_r' 'h4/thm/real/REAL_LE_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_inj_wd' 'h4/thm/numRing/num_rewrites_tLRRRRRRLR'
0. 'coq/Coq_QArith_Qround_Qceiling_Z' 'h4/thm/frac/frac_bij_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_nonneg_nonneg' 'h4/thm/integer/INT_LT_MUL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_nlt' 'h4/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_pred_r' 'h4/thm/integer/INT_NEG_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_rem_opp_l_prime' 'h4/thm/extreal/mul_lneg_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_irrefl' 'h4/thm/string/string_lt_nonrefl_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sub_0_l' 'h4/thm/integer/INT_SUB_REDUCE_1'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_asymm' 'h4/thm/real/REAL_LT_GT_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_log2' 'h4/thm/extreal/extreal_sqrt_def_0'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_alt_dichotomy' 'h4/thm/arithmetic/LESS_EQ_CASES_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_succ_le_mono' 'h4/thm/integerRing/int_rewrites_tLRRRLRRRR'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_succ_le_mono' 'h4/thm/numeral/numeral_lt_4'
0. 'coq/Coq_NArith_BinNat_N_clearbit_spec_prime'#@#variant 'h4/thm/real/real_div_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_nonneg' 'h4/thm/transc/ATN_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_lt_mono' 'h4/thm/numeral/numeral_lt_3'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_lt_mono_l' 'h4/thm/arithmetic/LT_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_pos_pos' 'h4/thm/realax/REAL_LT_MUL_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_iff' 'h4/thm/ieee/ccode_EQ_ccode_'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_one_neq_zero' 'h4/thm/ieee/roundmode_distinct_3'
0. 'coq/Coq_Arith_PeanoNat_Nat_odd_1' 'h4/thm/rat/rat_of_num_def_compute_1'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_succ_l' 'h4/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_NArith_Ndist_ni_le_antisym' 'h4/thm/divides/DIVIDES_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_pred_l' 'h4/thm/bit/BIT_LOG2_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_succ_lt_mono' 'h4/thm/numeral/numeral_lt_3'
0. 'coq/Coq_ZArith_Znat_Z2Nat_inj_pred' 'h4/thm/extreal/extreal_inv_def_e2'
0. 'coq/Coq_Arith_Mult_mult_lt_compat_l'#@#variant 'h4/thm/real/REAL_LT_LMUL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_inj_wd' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Reals_Rtrigo1_PI_neq0' 'h4/thm/float/not2eqz_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_shuffle3' 'h4/thm/HolSmt/r220_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_eq_mul_0_r' 'h4/thm/extreal/add_not_infty_e1'
0. 'coq/Coq_Reals_Rfunctions_pow_add' 'h4/thm/integer/INT_EXP_ADD_EXPONENTS_'
0. 'coq/Coq_Reals_RIneq_Ropp_div' 'h4/thm/arithmetic/ADD_e1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_1_l' 'h4/thm/HolSmt/r233_'
0. 'coq/Coq_ZArith_BinInt_Z_divide_pos_le'#@#variant 'h4/thm/divides/DIVIDES_LE_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_neg_iff' 'h4/thm/prelim/ordering_EQ_ordering_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_refl' 'h4/thm/integer/TINT_EQ_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_mod' 'h4/thm/integer/INT_MOD_SUB_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lt_1_mul_pos'#@#variant 'h4/thm/integer/INT_LTE_ADD_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Ropp_Rmin' 'h4/thm/transc/EXP_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_lt_cancel' 'h4/thm/arithmetic/LESS_MONO_REV_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_div_0_l' 'h4/thm/integer/INT_REM0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_lxor_l' 'h4/thm/frac/FRAC_AINV_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lcm_diag' 'h4/thm/gcd/GCD_REF_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_refl' 'h4/thm/integer/INT_DIVIDES_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_succ_le_mono' 'h4/thm/numpair/tri_LT_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_of_pos' 'h4/thm/extreal/extreal_of_num_def_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_eq_mul_0' 'h4/thm/real/REAL_ENTIRE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_le_compat_r' 'h4/thm/extreal/le_radd_imp_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_sub_r' 'h4/thm/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lcm_1_r' 'h4/thm/arithmetic/DIV_ONE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_diag' 'h4/thm/real/REAL_MIN_REFL_'
0. 'coq/Coq_QArith_QArith_base_Qmult_le_l'#@#variant 'h4/thm/integer/INT_LE_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_sub' 'h4/thm/arithmetic/ADD_SUB_'
0. 'coq/Coq_NArith_BinNat_N_gt_lt_iff' 'h4/thm/integer/INT_GE_CALCULATE_'
0. 'coq/Coq_NArith_BinNat_N_divide_add_cancel_r' 'h4/thm/poly/POLY_DIVIDES_SUB_'#@#variant
0. 'coq/Coq_Reals_Rtrigo_calc_sin_lb_ge_0'#@#variant 'h4/thm/transc/SIN_POS_PI_'#@#variant
0. 'coq/Coq_Reals_RIneq_Req_ge' 'h4/thm/HolSmt/t007_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_total' 'h4/thm/extreal/lt_total_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_pos_pos' 'h4/thm/arithmetic/LESS_MULT2_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_pred_l' 'h4/thm/arithmetic/PRE_SUB_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mod_1_r'#@#variant 'h4/thm/arithmetic/EXP_0'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_move_0_l' 'h4/thm/HolSmt/r076_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_mul_le_mono_r' 'h4/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_lt_iff' 'h4/thm/real/REAL_MIN_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ldiff_land' 'h4/thm/extreal/sub_rneg_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lor_lnot_diag'#@#variant 'h4/thm/integer/INT_ADD_RINV_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_1_l' 'h4/thm/extreal/add_lzero_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_lt_m1_0' 'h4/thm/extreal/half_between_e2'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pow_lt_mono_r'#@#variant 'h4/thm/real/REAL_LE_LMUL_IMP_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_compare' 'h4/thm/toto/qk_numOrd_def_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftl_eq_0_iff'#@#variant 'h4/thm/binary_ieee/div_eq0_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_opp_inj_wd' 'h4/thm/complex/COMPLEX_INV_INJ_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_minus_max_distr_l' 'h4/thm/transc/RPOW_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_refl' 'h4/thm/integer/TINT_EQ_REFL_'#@#variant
0. 'coq/Coq_ZArith_Zpower_two_power_pos_nat' 'h4/thm/rat/rat_sgn_def_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_pow' 'h4/thm/arithmetic/PRE_SUB_'
0. 'coq/Coq_ZArith_BinInt_Zpos_eq_iff' 'h4/thm/ASCIInumbers/toString_11_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_sin_neg' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_irrefl' 'h4/thm/string/string_lt_nonrefl_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_le_mono' 'h4/thm/arithmetic/LESS_EQ_MONO_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_id' 'h4/thm/real/REAL_MAX_REFL_'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_IsTO_lt_total' 'h4/thm/integer/INT_LT_TOTAL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_max_l' 'h4/thm/realax/HREAL_LT_ADDL_'
0. 'coq/Coq_Arith_Gt_gt_asym' 'h4/thm/realax/HREAL_LT_GT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_rem_1_r'#@#variant 'h4/thm/arithmetic/MOD_ONE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_nlt_ge' 'h4/thm/real/real_lt_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div_mul' 'h4/thm/integer/INT_DIV_RMUL_'#@#variant
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_empty_1' 'h4/thm/llist/LFINITE_rules_0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_le_mono_l' 'h4/thm/hreal/HRAT_LT_LADD_'
0. 'coq/Coq_Reals_Rfunctions_Rlt_pow'#@#variant 'h4/thm/real/REAL_POW_MONO_LT_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_rem_opp_l_prime' 'h4/thm/arithmetic/ADD_e1'
0. 'coq/Coq_Reals_RIneq_cond_nonzero' 'h4/thm/extreal/extreal_distinct_1'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_square_nonneg'#@#variant 'h4/thm/integer/INT_LE_SQUARE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_le_mono' 'h4/thm/bit/TWOEXP_MONO_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lxor_0_l' 'h4/thm/hrat/TRAT_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_succ_l' 'h4/thm/prim_rec/SUC_LESS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_b2n_div2'#@#variant 'h4/thm/extreal/extreal_sub_def_3'
0. 'coq/Coq_ZArith_BinInt_Z_add_1_l'#@#variant 'h4/thm/real/REAL_INV_1OVER_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_clearbit_spec_prime'#@#variant 'h4/thm/real/REAL_SUB_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_trichotomy' 'h4/thm/realax/REAL_LT_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_le_compat_r' 'h4/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_ge_cases' 'h4/thm/integer/INT_LE_TOTAL_'
0. 'coq/Coq_ZArith_Zeven_Zodd_even_bool' 'h4/thm/ratRing/rat_ring_thms_e17'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_nonpos_nonpos' 'h4/thm/rat/RAT_LES0_LES0_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_square_spec' 'h4/thm/real/REAL_DOUBLE_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sub_le_mono_r' 'h4/thm/hrat/TRAT_ADD_WELLDEFINED_'#@#variant
0. 'coq/Coq_ZArith_Zcompare_Zcompare_succ_compat' 'h4/thm/toto/numeralOrd_5'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_cancel_l' 'h4/thm/arithmetic/ADD_MONO_LESS_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_nonneg_nonneg' 'h4/thm/binary_ieee/le2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_opp_r' 'h4/thm/extreal/extreal_sub_add_'
0. 'coq/Coq_NArith_BinNat_N_mul_1_l' 'h4/thm/extreal/add_lzero_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_rem_1_r'#@#variant 'h4/thm/numeral/numeral_distrib_11'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_sqrt_2' 'h4/thm/extreal/half_between_tRL'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_quot_le_mono'#@#variant 'h4/thm/extreal/le_rmul_imp_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_add_lt_sub_r' 'h4/thm/arithmetic/SUB_LEFT_GREATER_EQ_'
0. 'coq/Coq_ZArith_BinInt_Z_pow_1_r' 'h4/thm/integer/INT_SUB_RZERO_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_id' 'h4/thm/extreal/min_refl_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_lt_mono_r_iff'#@#variant 'h4/thm/logroot/LE_EXP_ISO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_diag' 'h4/thm/arithmetic/SUB_EQUAL_0_'
0. 'coq/Coq_NArith_BinNat_N_le_sub_l' 'h4/thm/arithmetic/SUB_LESS_EQ_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_iff' 'h4/thm/real/REAL_INJ_'
0. 'coq/Coq_NArith_BinNat_N_ge_le_iff' 'h4/thm/rat/rat_gre_def_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_1_r' 'h4/thm/real/REAL_SUB_RZERO_'
0. 'coq/Coq_Reals_RIneq_Rnot_ge_gt' 'h4/thm/arithmetic/LESS_CASES_'
0. 'coq/Coq_NArith_BinNat_N_even_sub' 'h4/thm/float/REAL_OF_NUM_SUB_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_1_l' 'h4/thm/integer/INT_ADD_REDUCE_0'
0. 'coq/Coq_NArith_BinNat_N_ones_equiv'#@#variant 'h4/thm/numeral_bit/NUMERAL_iDIV2_4'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_log2' 'h4/thm/quote/index_size_def_1'#@#variant
0. 'coq/Coq_NArith_BinNat_N_succ_double_inj' 'h4/thm/divides/PRIMES_11_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_succ_m1'#@#variant 'h4/thm/real/REAL_THIRDS_BETWEEN_tRRRL'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_le_mono_nonneg_r'#@#variant 'h4/thm/extreal/le_rmul_imp_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_refl' 'h4/thm/integer/INT_DIVIDES_REFL_'
0. 'coq/Coq_Reals_RIneq_succ_IZR' 'h4/thm/real/real_of_num_e1'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_r' 'h4/thm/integer/TINT_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_mul_succ_r' 'h4/thm/arithmetic/MULT_CLAUSES_e5'
0. 'coq/Coq_NArith_BinNat_N_log2_up_le_mono' 'h4/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lt_total' 'h4/thm/hreal/HRAT_LT_TOTAL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_le_compat_r' 'h4/thm/integer/TINT_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_eq_0' 'h4/thm/integer/INT_ENTIRE_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_shiftr_div_pow2'#@#variant 'h4/thm/extreal/extreal_sub_add_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lxor_eq' 'h4/thm/extreal/sub_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_pos'#@#variant 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_diag' 'h4/thm/numeral/iDUB_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_testbit_even_0'#@#variant 'h4/thm/toto/num_dtOrd_4'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_lt_mono_l' 'h4/thm/arithmetic/LE_ADD_LCANCEL_'
0. 'coq/Coq_NArith_BinNat_N_succ_inj_wd' 'h4/thm/real/REAL_INV_INJ_'
0. 'coq/Coq_ZArith_Zorder_Zmult_lt_compat_l'#@#variant 'h4/thm/real/REAL_LE_LMUL_IMP_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_le_sub_le_add_r' 'h4/thm/integer/INT_LT_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_neq_0_succ' 'h4/thm/quote/index_distinct_1'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_sub' 'h4/thm/arithmetic/ADD_SUB_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_eq_0_r' 'h4/thm/extreal/add_not_infty_e1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftr_opp_r' 'h4/thm/real/REAL_SUB_RNEG_'
0. 'coq/Coq_Reals_Rminmax_R_max_le_iff' 'h4/thm/real/REAL_LE_MAX_'
0. 'coq/Coq_NArith_BinNat_N_lt_nge' 'h4/thm/arithmetic/NOT_LESS_EQUAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_add_cancel_r' 'h4/thm/divides/DIVIDES_ADD_2_'
0. 'coq/Coq_ZArith_Znat_Zabs2N_inj_neg' 'h4/thm/rat/RAT_SGN_CALCULATE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_0_sub'#@#variant 'h4/thm/real/REAL_SUB_LE_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_abs_0' 'h4/thm/realax/TREAL_INV_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lcm_divide_iff' 'h4/thm/arithmetic/MAX_LT_e1'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_lt_mono_l' 'h4/thm/real/REAL_LE_LADD_'
0. 'coq/Coq_ZArith_Zpower_two_power_nat_S'#@#variant 'h4/thm/extreal/extreal_sqrt_def_0'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_cancel_l' 'h4/thm/arithmetic/EQ_ADD_LCANCEL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_pos_pos' 'h4/thm/integer/INT_LT_MUL_'
0. 'coq/Coq_PArith_BinPos_Pos_min_id' 'h4/thm/real/REAL_MIN_REFL_'
0. 'coq/Coq_NArith_BinNat_N_lt_irrefl' 'h4/thm/hreal/HRAT_LT_REFL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_gcd_assoc' 'h4/thm/hrat/TRAT_MUL_ASSOC_'#@#variant
0. 'coq/Coq_Reals_Raxioms_Rinv_l' 'h4/thm/realax/REAL_MUL_LINV_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_lt_iff' 'h4/thm/arithmetic/MAX_LE_0'
0. 'coq/Coq_PArith_BinPos_Pos_le_antisym' 'h4/thm/rat/RAT_LEQ_ANTISYM_'
0. 'coq/Coq_NArith_BinNat_N_pow_add_r' 'h4/thm/transc/RPOW_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_lt_mono_l' 'h4/thm/rat/RAT_LES_LADD_'
0. 'coq/Coq_Reals_RIneq_Rgt_asym' 'h4/thm/string/string_lt_antisym_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_quot_same'#@#variant 'h4/thm/integer/INT_QUOT_ID_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_add_r' 'h4/thm/integer/INT_DIVIDES_MUL_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_inj_wd' 'h4/thm/numRing/num_rewrites_tRRRRRRRLR'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_le_mono_l' 'h4/thm/realax/HREAL_LT_LADD_'
0. 'coq/Coq_ZArith_BinInt_Z_lnot_lxor_l' 'h4/thm/extreal/mul_lneg_'
0. 'coq/Coq_Arith_PeanoNat_Nat_Even_succ' 'h4/thm/binary_ieee/exp_gt2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_nlt_ge' 'h4/thm/integer/INT_NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gt_lt_iff' 'h4/thm/string/string_gt_def_'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_iff' 'h4/thm/ieee/roundmode_EQ_roundmode_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_neq_succ_0' 'h4/thm/arithmetic/SUC_NOT_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_pred_of_succ_nat' 'h4/thm/integerRing/int_ring_thms_e17'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_ge_le_iff' 'h4/thm/HolSmt/r103_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_le_mono_l' 'h4/thm/arithmetic/LE_ADD_LCANCEL_'
0. 'coq/Coq_Reals_RIneq_Rlt_le' 'h4/thm/real/REAL_LT_IMP_LE_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_nlt' 'h4/thm/rat/RAT_LES_LEQ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_l' 'h4/thm/extreal/le_ladd_imp_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_irrefl' 'h4/thm/extreal/lt_refl_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mod_1_r'#@#variant 'h4/thm/numeral/numeral_exp_0'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_of_Q' 'h4/thm/ieee/ccode_BIJ_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_double'#@#variant 'h4/thm/transc/LN_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_lt_iff' 'h4/thm/arithmetic/MAX_LT_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_1_r' 'h4/thm/real/REAL_SUB_RZERO_'
0. 'coq/Coq_NArith_Ndist_ni_le_antisym' 'h4/thm/arithmetic/LESS_EQUAL_ANTISYM_'
0. 'coq/Coq_ZArith_Znat_Z2Nat_inj_pred' 'h4/thm/quote/index_size_def_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_ldiff_ldiff_l' 'h4/thm/logroot/EXP_MUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_Zpos' 'h4/thm/integer/INT_LT_'
0. 'coq/Coq_ZArith_BinInt_Z_log2_le_mono' 'h4/thm/bit/TWOEXP_MONO2_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_add_cancel_r' 'h4/thm/poly/POLY_DIVIDES_SUB_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lt_asymm' 'h4/thm/real/REAL_LT_ANTISYM_'
0. 'coq/Coq_NArith_BinNat_N_pow_lt_mono_r'#@#variant 'h4/thm/extreal/le_lmul_imp_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_quot_0_l' 'h4/thm/integer/INT_REM0_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_div_same'#@#variant 'h4/thm/integer/INT_QUOT_ID_'#@#variant
0. 'coq/Coq_ZArith_Znat_Z2Nat_inj_pos' 'h4/thm/realax/real_of_hreal_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_lt_mono_r_iff' 'h4/thm/int_arith/lt_justify_multiplication_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_le_mono_r_iff'#@#variant 'h4/thm/logroot/LT_EXP_ISO_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rgt_irrefl' 'h4/thm/real/REAL_LT_REFL_'
0. 'coq/Coq_QArith_Qround_Qfloor_Z' 'h4/thm/realax/TREAL_BIJ_0'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_le_compat_l' 'h4/thm/real/REAL_LE_LADD_IMP_'
0. 'coq/Coq_ZArith_Zlogarithm_log_inf_correct/0' 'h4/thm/realax/REAL_POS_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_le_mono_l' 'h4/thm/arithmetic/ADD_MONO_LESS_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_divide_mono_r' 'h4/thm/arithmetic/LESS_MONO_MULT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_opp_r' 'h4/thm/real/real_div_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_le_mono' 'h4/thm/numpair/tri_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lnot_ones' 'h4/thm/integer/INT_ADD_LINV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_xO_r' 'h4/thm/real/REAL_NEG_RMUL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_sub_le_add_r' 'h4/thm/arithmetic/SUB_LEFT_GREATER_EQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_double_inj' 'h4/thm/num/INV_SUC_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_nonpos_nonpos' 'h4/thm/rat/RAT_LES0_LES0_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_ngt' 'h4/thm/arithmetic/NOT_LESS_'
0. 'coq/Coq_NArith_BinNat_N_sqrt_1' 'h4/thm/extreal/neg_0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_1_r' 'h4/thm/integer/INT_SUB_REDUCE_0'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_of_Q' 'h4/thm/realax/TREAL_BIJ_0'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_square_spec' 'h4/thm/numeral/iDUB_'
0. 'coq/Coq_Reals_Rfunctions_powerRZ_O' 'h4/thm/extreal/pow_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_lt_add_r' 'h4/thm/divides/DIVIDES_MULT_'
0. 'coq/Coq_Arith_Lt_lt_n_S' 'h4/thm/numpair/tri_LT_I_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_nle_gt' 'h4/thm/real/REAL_NOT_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_inj_wd' 'h4/thm/string/EXPLODE_11_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_le_compat_r' 'h4/thm/hrat/TRAT_ADD_WELLDEFINED_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_le_mono_r_iff'#@#variant 'h4/thm/transc/RPOW_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_clearbit_spec_prime'#@#variant 'h4/thm/extreal/extreal_div_def_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div2_succ_double' 'h4/thm/bit/LOG2_TWOEXP_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Zsucc_pred' 'h4/thm/numRing/num_rewrites_tLLRRRR'#@#variant
0. 'coq/Coq_NArith_Ndist_ni_min_idemp' 'h4/thm/gcd/GCD_REF_'
0. 'coq/Coq_Arith_PeanoNat_Nat_max_l' 'h4/thm/real/REAL_MAX_ALT_e1'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_le_compat_l' 'h4/thm/real/REAL_LT_IADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_eq_le_incl' 'h4/thm/arithmetic/LESS_IMP_LESS_OR_EQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gt_lt_iff' 'h4/thm/integer/int_ge_'
0. 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_le_lt_iff' 'h4/thm/rat/RAT_LES_LEQ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lcm_divide_iff' 'h4/thm/util_prob/MAX_LE_X_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_lcm_l' 'h4/thm/arithmetic/LESS_EQ_ADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_clearbit_spec_prime'#@#variant 'h4/thm/complex/COMPLEX_SUB_RNEG_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_le_compat_r' 'h4/thm/integer/TINT_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_involutive' 'h4/thm/integer/INT_REM_CALCULATE_2'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pos_pred_spec' 'h4/thm/numRing/num_ring_thms_e17'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_rem_1_l'#@#variant 'h4/thm/arithmetic/ZERO_DIV_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_nonneg' 'h4/thm/prim_rec/LESS_0_'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_lt_total' 'h4/thm/extreal/lt_total_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_opp_r' 'h4/thm/HolSmt/r131_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_lteq' 'h4/thm/integer/INT_LE_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_null'#@#variant 'h4/thm/intExtension/INT_SGN_CLAUSES_e2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_pos_neg'#@#variant 'h4/thm/extreal/mul_le_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_eq_cases' 'h4/thm/string/string_le_def_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_clearbit_spec_prime'#@#variant 'h4/thm/frac/frac_sub_def_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_rem' 'h4/thm/integer/INT_MOD_SUB_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_OT_le_lteq' 'h4/thm/string/string_le_def_'#@#variant
0. 'coq/Coq_ZArith_Zeven_Zeven_odd_bool' 'h4/thm/util_prob/lg_pow_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_glb' 'h4/thm/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_ZArith_Zlogarithm_log_sup_correct1' 'h4/thm/realax/REAL_POS_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_cancel_l' 'h4/thm/hreal/HRAT_EQ_LADD_'
0. 'coq/Coq_ZArith_BinInt_Z_shiftr_opp_r' 'h4/thm/real/real_sub_'
0. 'coq/Coq_Bool_Bool_andb_diag' 'h4/thm/extreal/min_refl_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_irrefl' 'h4/thm/real/REAL_LT_REFL_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_neg_iff' 'h4/thm/DeepSyntax/deep_form_11_6'
0. 'coq/Coq_ZArith_Znat_Zabs2Nat_inj_pos' 'h4/thm/ieee/Sign_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_pos_l'#@#variant 'h4/thm/integer/INT_LE_MONO_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_nonneg_r'#@#variant 'h4/thm/real/REAL_LT_RMUL_IMP_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lnot_involutive' 'h4/thm/int_bitwise/int_not_not_'
0. 'coq/Coq_Reals_Rminmax_R_OT_le_lteq' 'h4/thm/real/REAL_LE_LT_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_id' 'h4/thm/ieee/float_tybij_0'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_xI_r' 'h4/thm/numeral/numeral_exp_1'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_le_mono_r' 'h4/thm/arithmetic/LESS_EQ_MONO_ADD_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_max_l' 'h4/thm/integer/INT_DIVIDES_MUL_0'
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_pos'#@#variant 'h4/thm/transc/LN_POS_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_testbit_even_0'#@#variant 'h4/thm/toto/num_dtOrd_3'
0. 'coq/Coq_FSets_FSetPositive_PositiveSet_eq_refl' 'h4/thm/hrat/TRAT_EQ_REFL_'#@#variant
0. 'coq/Coq_QArith_Qround_Qfloor_Z' 'h4/thm/frac/frac_bij_0'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_le_mono_l' 'h4/thm/integer/INT_LE_LADD_'
0. 'coq/Coq_Reals_Raxioms_R1_neq_R0' 'h4/thm/ieee/roundmode_distinct_2'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_1_l'#@#variant 'h4/thm/extreal/sub_lzero_'#@#variant
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_IsTO_lt_total' 'h4/thm/realax/REAL_LT_TOTAL_'
0. 'coq/Coq_ZArith_BinInt_Z_opp_max_distr' 'h4/thm/transc/EXP_SUB_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_phi' 'h4/thm/real/NUM_FLOOR_EQNS_0'
0. 'coq/Coq_ZArith_Znat_N2Z_is_nonneg'#@#variant 'h4/thm/binary_ieee/zero_le_twopow_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_0_sub'#@#variant 'h4/thm/integer/INT_SUB_LT_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_lteq' 'h4/thm/extreal/le_lt_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_refl' 'h4/thm/divides/DIVIDES_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_0_l' 'h4/thm/HolSmt/r129_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_sin_ge_0'#@#variant 'h4/thm/transc/SIN_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_0_r'#@#variant 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRL'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lor_diag' 'h4/thm/real/REAL_MIN_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_le_compat_l' 'h4/thm/real/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lcm_1_l' 'h4/thm/rat/RAT_ADD_LID_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_rem_1_r'#@#variant 'h4/thm/util_prob/logr_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_sub_r' 'h4/thm/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_ngt' 'h4/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_Reals_Raxioms_R1_neq_R0' 'h4/thm/binary_ieee/float_compare_distinct_3'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_succ_lt_mono' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_succ_r' 'h4/thm/arithmetic/ADD_CLAUSES_e3'
0. 'coq/Coq_ZArith_BinInt_Z_ldiff_m1_r'#@#variant 'h4/thm/arithmetic/MOD_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_xO_r' 'h4/thm/frac/FRAC_AINV_RMUL_'
0. 'coq/Coq_Reals_Rbasic_fun_Rle_max_compat_l' 'h4/thm/realax/TREAL_LT_ADD_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_opp_involutive' 'h4/thm/integer/INT_MOD_CALCULATE_2'
0. 'coq/Coq_NArith_Ndist_ni_min_O_l' 'h4/thm/real/REAL_MUL_LZERO_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_le_compat_l' 'h4/thm/extreal/le_ladd_imp_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_0_l' 'h4/thm/integer/INT_QUOT_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_succ_lt_mono' 'h4/thm/integerRing/int_rewrites_tLRRRLRRR'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_le_mono' 'h4/thm/numpair/tri_LT_I_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_clearbit_spec_prime'#@#variant 'h4/thm/HolSmt/r131_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_1' 'h4/thm/transc/SIN_0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_nlt_0_r' 'h4/thm/bit/BIT_ZERO_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mod_0_l' 'h4/thm/integer/INT_REM0_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_setbit_spec_prime'#@#variant 'h4/thm/integer/INT_SUB_RNEG_'
0. 'coq/Coq_NArith_BinNat_N_gcd_diag' 'h4/thm/gcd/GCD_REF_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_oppc' 'h4/thm/DeepSyntax/deep_form_size_def_2'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_le_mono' 'h4/thm/transc/EXP_MONO_IMP_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_le_mono_pos_l'#@#variant 'h4/thm/integer/INT_LE_MONO_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qnot_lt_le' 'h4/thm/integer/INT_LTE_TOTAL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mod_0_l' 'h4/thm/integer/INT_REM0_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_nonneg' 'h4/thm/arithmetic/FACT_LESS_'
0. 'coq/Coq_Arith_Lt_lt_n_S' 'h4/thm/prim_rec/LESS_MONO_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_sub_le_add_r' 'h4/thm/integer/INT_LT_SUB_RADD_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_opp_r' 'h4/thm/frac/frac_sub_def_'
0. 'coq/Coq_Arith_PeanoNat_Nat_eq_mul_0' 'h4/thm/integer/INT_ENTIRE_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_le_mono_r' 'h4/thm/arithmetic/LT_ADD_RCANCEL_'
0. 'coq/Coq_ZArith_BinInt_Z_nlt_ge' 'h4/thm/HolSmt/r096_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div_1_r' 'h4/thm/real/REAL_SUB_RZERO_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_le_compat_l' 'h4/thm/extreal/le_ladd_imp_'
0. 'coq/Coq_QArith_QOrderedType_QOrder_eq_refl' 'h4/thm/hrat/TRAT_EQ_REFL_'#@#variant
0. 'coq/Coq_ZArith_Zdiv_Z_mod_same_full' 'h4/thm/integer/INT_SUB_REFL_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_pred_l' 'h4/thm/numpair/nsnd_le_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_lt_cancel' 'h4/thm/arithmetic/LESS_MONO_REV_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_le_min_l' 'h4/thm/real/REAL_MIN_LE1_'
0. 'coq/Coq_PArith_BinPos_Pos_succ_discr' 'h4/thm/prim_rec/SUC_ID_'
0. 'coq/Coq_Bool_Bool_andb_negb_r' 'h4/thm/real/REAL_ADD_RINV_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_setbit_spec_prime'#@#variant 'h4/thm/extreal/extreal_div_def_'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_1' 'h4/thm/numeral/numeral_pre_1'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_neg_iff' 'h4/thm/string/ORD_11_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_lt_trans' 'h4/thm/extreal/let_trans_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_lt_m1_0'#@#variant 'h4/thm/transc/PI2_BOUNDS_e1'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_lt_mono_l' 'h4/thm/arithmetic/LE_ADD_LCANCEL_'
0. 'coq/Coq_Reals_Rtrigo1_cos_neg' 'h4/thm/real/ABS_NEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_inj_wd' 'h4/thm/numRing/num_rewrites_tLRRRRRRLR'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_nonneg_nonneg' 'h4/thm/realax/REAL_LT_MUL_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_of_Z' 'h4/thm/string_num/s2n_n2s_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_divide_xO_xO' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_lt_mono_r' 'h4/thm/arithmetic/LESS_MONO_ADD_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_1_l'#@#variant 'h4/thm/transc/ONE_RPOW_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_succ_l' 'h4/thm/arithmetic/PRE_SUB_'
0. 'coq/Coq_Reals_Rfunctions_pow_1_odd'#@#variant 'h4/thm/real/pow_rat_1'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_opp_max_distr' 'h4/thm/complex/COMPLEX_EXP_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_lcm_l' 'h4/thm/realax/HREAL_LT_ADDL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_lt_mono' 'h4/thm/integerRing/int_rewrites_tRRRRRRLRRRR'
0. 'coq/Coq_ZArith_Znat_Z2Nat_inj_le'#@#variant 'h4/thm/float/FLOAT_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftr_shiftr' 'h4/thm/arithmetic/SUB_RIGHT_SUB_'
0. 'coq/Coq_Numbers_Cyclic_DoubleCyclic_DoubleSqrt_Zplus_mod_one' 'h4/thm/arithmetic/ADD_MODULUS_LEFT_'
0. 'coq/Coq_Reals_Rtrigo1_sin_gt_0'#@#variant 'h4/thm/transc/COS_POS_PI2_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lxor_nilpotent' 'h4/thm/rat/RAT_SUB_ID_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_lt_lin'#@#variant 'h4/thm/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_pos_r'#@#variant 'h4/thm/intExtension/INT_GT_RMUL_EXP_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_inj_wd' 'h4/thm/quote/index_11_0'
0. 'coq/Coq_ZArith_BinInt_Z_divide_Zpos' 'h4/thm/string/char_ge_def_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_lt' 'h4/thm/real/lt_int_0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_lt_mono_r'#@#variant 'h4/thm/logroot/ROOT_LE_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_lor'#@#variant 'h4/thm/transc/LN_MUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_inj_wd' 'h4/thm/rat/RAT_EQ_AINV_'
0. 'coq/Coq_Arith_Compare_dec_not_gt' 'h4/thm/HolSmt/t015_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pos_pred_succ' 'h4/thm/ieee/num2roundmode_roundmode2num_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pred_succ' 'h4/thm/numRing/num_rewrites_tLLRRRR'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_le_compat_l' 'h4/thm/integer/INT_LT_LADD_IMP_'
0. 'coq/Coq_Arith_Min_min_idempotent' 'h4/thm/real/REAL_MAX_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_max_l' 'h4/thm/extreal/le_max1_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_inj_wd' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_ZArith_BinInt_Z_mul_opp_l' 'h4/thm/complex/COMPLEX_NEG_LDIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gt_lt_iff' 'h4/thm/pred_set/COUNT_applied_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lnot_ones' 'h4/thm/real/REAL_ADD_LINV_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_neg_xO'#@#variant 'h4/thm/quote/index_size_def_1'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lxor_lnot_lnot' 'h4/thm/extreal/neg_mul2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_nonpos_nonpos'#@#variant 'h4/thm/extreal/le_mul_neg_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_lteq' 'h4/thm/arithmetic/LESS_OR_EQ_'
0. 'coq/Coq_Reals_RIneq_Rlt_irrefl' 'h4/thm/string/string_lt_nonrefl_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ldiff_land' 'h4/thm/complex/complex_div_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_opp' 'h4/thm/extreal/extreal_abs_def_0'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_divide_mono_r' 'h4/thm/integer/TINT_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_inj_wd' 'h4/thm/numRing/num_rewrites_tRRRRRRRLR'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ldiff_ldiff_l' 'h4/thm/arithmetic/EXP_EXP_MULT_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_le_mono_l' 'h4/thm/rat/RAT_LES_LADD_'
0. 'coq/Coq_Reals_RIneq_Rplus_ge_compat_l' 'h4/thm/integer/INT_LT_LADD_IMP_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_neq' 'h4/thm/integer/INT_LT_IMP_NE_'
0. 'coq/Coq_NArith_BinNat_N_lor_eq_0_iff' 'h4/thm/arithmetic/ADD_EQ_0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_testbit_even_0'#@#variant 'h4/thm/quote/index_compare_def_4'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pos_pred_succ' 'h4/thm/toto/num2cpn_cpn2num_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_nonneg_nonneg' 'h4/thm/binary_ieee/le2_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lt_add_pos_l'#@#variant 'h4/thm/arithmetic/X_LT_EXP_X_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_succ_pred' 'h4/thm/prim_rec/PRE_e1'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_succ_lt_mono' 'h4/thm/numpair/tri_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_refl' 'h4/thm/integer/INT_DIVIDES_REFL_'
0. 'coq/__constr_Coq_FSets_FSetPositive_PositiveSet_ct_0_1' 'h4/thm/gcd/IS_GCD_REF_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_succ_lt_mono' 'h4/thm/numeral/numeral_lte_e6'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_double'#@#variant 'h4/thm/transc/LN_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_le_mono' 'h4/thm/numeral/numeral_distrib_22'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_lt_mono' 'h4/thm/arithmetic/LESS_EQ_MONO_'
0. 'coq/Coq_ZArith_BinInt_Z_divide_Zpos' 'h4/thm/integer/INT_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pred_div2_up' 'h4/thm/toto/num_dt_size_def_1'#@#variant
0. 'coq/Coq_ZArith_BinInt_Zpos_eq_iff' 'h4/thm/prelim/ordering_EQ_ordering_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_0_r' 'h4/thm/extreal/le_infty_tRL'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_1_l'#@#variant 'h4/thm/integer/INT_SUB_REDUCE_1'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_opp_max_distr' 'h4/thm/transc/EXP_ADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_cancel_l' 'h4/thm/hreal/HRAT_EQ_LMUL_'
0. 'coq/Coq_NArith_BinNat_N_pred_le_mono' 'h4/thm/bit/TWOEXP_MONO_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_cancel_r' 'h4/thm/complex/COMPLEX_EQ_RADD_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_le_lteq' 'h4/thm/arithmetic/LESS_OR_EQ_'
0. 'coq/Coq_QArith_Qcanon_Qclt_not_eq' 'h4/thm/extreal/lt_imp_ne_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lnot_0_l' 'h4/thm/integer/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Zpos_eq_iff' 'h4/thm/complex/COMPLEX_OF_NUM_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_le_incl' 'h4/thm/arithmetic/LESS_IMP_LESS_OR_EQ_'
0. 'coq/Coq_NArith_BinNat_N_mul_1_l' 'h4/thm/integer/INT_ADD_LID_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_nonneg' 'h4/thm/divides/ZERO_LT_PRIMES_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sub_le_mono_r' 'h4/thm/arithmetic/LESS_MONO_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_irrefl' 'h4/thm/real/REAL_LT_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_pos_pos' 'h4/thm/arithmetic/LESS_MULT2_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_cancel_l' 'h4/thm/complex/COMPLEX_EQ_LADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_le_mono_l' 'h4/thm/integer/INT_LT_LADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_eq_mul_1'#@#variant 'h4/thm/arithmetic/MULT_EQ_1_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_negb_odd' 'h4/thm/util_prob/lg_pow_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_succ_lt_mono' 'h4/thm/numeral/numeral_lt_4'
0. 'coq/Coq_NArith_BinNat_N_neq_0_succ' 'h4/thm/num/ZERO_REP_DEF_'
0. 'coq/Coq_Arith_PeanoNat_Nat_succ_le_mono' 'h4/thm/arithmetic/LESS_MONO_EQ_'
0. 'coq/Coq_MSets_MSetPositive_PositiveSet_E_bits_lt_antirefl' 'h4/thm/string/string_lt_nonrefl_'#@#variant
0. 'coq/Coq_ZArith_Zeven_Zeven_not_Zodd' 'h4/thm/float/FLOAT_DISTINCT_FINITE_0'
0. 'coq/Coq_ZArith_BinInt_Z_log2_le_mono' 'h4/thm/transc/EXP_MONO_IMP_'
0. 'coq/Coq_Reals_Rfunctions_R_dist_eq' 'h4/thm/real/REAL_SUB_REFL_'#@#variant
0. 'coq/Coq_Classes_Morphisms_subrelation_refl' 'h4/thm/sorting/PERM_SINGLE_SWAP_REFL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_xO_r' 'h4/thm/integer/INT_NEG_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_clearbit_spec_prime'#@#variant 'h4/thm/real/REAL_SUB_RNEG_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_1_l' 'h4/thm/integer/INT_ADD_CALCULATE_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_le_mono' 'h4/thm/bit/TWOEXP_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_ldiff_ldiff_l' 'h4/thm/arithmetic/SUB_PLUS_'
0. 'coq/Coq_Reals_RIneq_INR_IZR_INZ' 'h4/thm/rat/rat_sgn_def_'
0. 'coq/Coq_ZArith_Zeven_Zodd_even_bool' 'h4/thm/frac/frac_sgn_def_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_glb_lt' 'h4/thm/divides/DIVIDES_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lxor_eq_0_iff' 'h4/thm/rat/RAT_EQ_SUB0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_nlt_ge' 'h4/thm/real/real_lt_'
0. 'coq/Coq_NArith_BinNat_N_gcd_divide_iff' 'h4/thm/arithmetic/MIN_LE_e1'
0. 'coq/Coq_NArith_BinNat_N_even_1' 'h4/thm/ieee/Plus_infinity_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_l' 'h4/thm/realax/TREAL_LT_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_le_mono_nonneg_l'#@#variant 'h4/thm/logroot/ROOT_LE_MONO_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pow_le_mono_r_iff'#@#variant 'h4/thm/arithmetic/EXP_BASE_LE_MONO_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_le' 'h4/thm/real/lt_int_0'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_eq_cases' 'h4/thm/rat/rat_leq_def_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_add_lt_sub_r' 'h4/thm/integer/INT_LE_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sub_lt'#@#variant 'h4/thm/arithmetic/SUB_LESS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_cancel_r' 'h4/thm/rat/RAT_EQ_RMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftl_1_l'#@#variant 'h4/thm/HolSmt/r129_'#@#variant
0. 'coq/Coq_Arith_Compare_dec_not_ge' 'h4/thm/HolSmt/t015_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_0_r'#@#variant 'h4/thm/numeral/numeral_exp_0'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_nonneg_r'#@#variant 'h4/thm/extreal/le_rmul_imp_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_square_spec' 'h4/thm/real/REAL_DOUBLE_'#@#variant
0. 'coq/Coq_Reals_Rtrigo_calc_sin3PI4'#@#variant 'h4/thm/numeral/numeral_distrib_13'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_move_r' 'h4/thm/integer/INT_EQ_SUB_LADD_'
0. 'coq/Coq_ZArith_Znat_Zabs_nat_N' 'h4/thm/realax/real_of_hreal_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_le_gt_cases' 'h4/thm/real/REAL_LTE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ldiff_m1_l'#@#variant 'h4/thm/HolSmt/r221_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_0_iff' 'h4/thm/integer/INT_QUOT_CALCULATE_3'#@#variant
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_incr_twice_plus_one' 'h4/thm/numRing/num_rewrites_tLRLRRR'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_pos_l'#@#variant 'h4/thm/transc/RPOW_POS_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_succ' 'h4/thm/numRing/num_rewrites_tLLRRRRRR'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_clearbit_spec_prime'#@#variant 'h4/thm/extreal/extreal_sub_add_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_divide_iff' 'h4/thm/integral/REAL_LT_MIN_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_le_mono_r' 'h4/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_ZArith_BinInt_Zminus_succ_l' 'h4/thm/rat/RAT_AINV_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_factor_r' 'h4/thm/real/REAL_LE_MAX2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_le_mono_r' 'h4/thm/arithmetic/LT_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sub_lt'#@#variant 'h4/thm/arithmetic/SUB_LESS_'#@#variant
0. 'coq/Coq_ZArith_Zdiv_Zmod_1_l'#@#variant 'h4/thm/transc/ONE_RPOW_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_le_lteq' 'h4/thm/integer/INT_LE_LT_'
0. 'coq/Coq_ZArith_BinInt_Zpos_eq_iff' 'h4/thm/integerRing/int_rewrites_tLRRRRRRRRL'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_eq_not_lt' 'h4/thm/prim_rec/NOT_LESS_EQ_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pred_sub'#@#variant 'h4/thm/arithmetic/ADD1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_setbit_spec_prime'#@#variant 'h4/thm/complex/COMPLEX_SUB_RNEG_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_succ_r' 'h4/thm/integer/INT_NEG_RMUL_'
0. 'coq/Coq_Reals_RIneq_Rplus_lt_le_0_compat'#@#variant 'h4/thm/real/REAL_LTE_ADD_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_le_sub_le_add_r' 'h4/thm/integer/INT_LT_SUB_RADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_succ_inj_wd' 'h4/thm/numpair/tri_LE_'
0. 'coq/Coq_NArith_BinNat_N_lcm_1_r' 'h4/thm/real/REAL_SUB_RZERO_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sub_le_mono_l' 'h4/thm/extreal/le_lsub_imp_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_0_r' 'h4/thm/extreal/le_infty_tRL'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lor_lnot_diag'#@#variant 'h4/thm/hreal/HRAT_MUL_RINV_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_quot_pos'#@#variant 'h4/thm/real/REAL_LTE_ADD_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_opp_involutive' 'h4/thm/integerRing/int_calculate_12'
0. 'coq/Coq_QArith_Qround_Qceiling_Z' 'h4/thm/ieee/float_tybij_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lxor_nilpotent' 'h4/thm/real/REAL_SUB_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_quot_1_r' 'h4/thm/rat/RAT_ADD_RID_'
0. 'coq/Coq_ZArith_Zpower_two_p_correct'#@#variant 'h4/thm/extreal/inv_1over_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_1_r' 'h4/thm/arithmetic/PRE_SUB1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_ldiff_diag' 'h4/thm/integer/INT_SUB_REFL_'#@#variant
0. 'coq/Coq_Reals_RIneq_cond_nonneg'#@#variant 'h4/thm/extreal/lt_infty_0'#@#variant
0. 'coq/Coq_Reals_RIneq_Rnot_gt_ge' 'h4/thm/real/REAL_LET_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_l' 'h4/thm/real/REAL_MIN_ALT_0'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_refl' 'h4/thm/arithmetic/LESS_EQ_REFL_'
0. 'coq/Coq_NArith_BinNat_N_eq_mul_1'#@#variant 'h4/thm/gcd/GCD_EQ_0_'
0. 'coq/Coq_NArith_BinNat_N_clearbit_spec_prime'#@#variant 'h4/thm/complex/COMPLEX_SUB_RNEG_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_move_r' 'h4/thm/complex/COMPLEX_EQ_SUB_LADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_lt_mono' 'h4/thm/numeral/numeral_distrib_22'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_pos'#@#variant 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_fourier_Fourier_util_Rlt_zero_1' 'h4/thm/extreal/lt_infty_2'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_gcd_divide_l' 'h4/thm/real/REAL_MIN_LE1_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_cancel_l' 'h4/thm/integer/INT_EQ_LMUL2_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_le_max_r' 'h4/thm/integer/INT_DIVIDES_MUL_e1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lcm_eq_0' 'h4/thm/rat/RAT_NO_ZERODIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_pow' 'h4/thm/extreal/mul_lneg_'
0. 'coq/Coq_ZArith_Zorder_Zsucc_le_compat' 'h4/thm/prim_rec/LESS_MONO_'
0. 'coq/Coq_Reals_Rminmax_R_opp_max_distr' 'h4/thm/transc/EXP_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_lt_mono' 'h4/thm/arithmetic/LESS_EQ_MONO_'
0. 'coq/Coq_PArith_BinPos_Pos_mul_le_mono_r' 'h4/thm/hreal/HRAT_LT_RMUL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_lteq' 'h4/thm/integer/INT_LE_CALCULATE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_le_compat_r' 'h4/thm/hrat/TRAT_MUL_WELLDEFINED_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_of_Qc' 'h4/thm/realax/TREAL_BIJ_0'#@#variant
0. 'coq/Coq_Reals_Rtrigo_def_sin_antisym' 'h4/thm/numeral_bit/iDUB_NUMERAL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_1_l' 'h4/thm/numeral/texp_help_def_0'
0. 'coq/Coq_ZArith_BinInt_Z_mul_1_r' 'h4/thm/rat/RAT_SUB_RID_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_ldiff_diag' 'h4/thm/arithmetic/ABS_DIFF_EQS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_inj_wd' 'h4/thm/complex/COMPLEX_EQ_NEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_0_r'#@#variant 'h4/thm/arithmetic/EXP_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_pos_l'#@#variant 'h4/thm/logroot/LE_EXP_ISO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_pow' 'h4/thm/rat/RAT_AINV_LMUL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lcm_eq_0' 'h4/thm/rat/RAT_NO_ZERODIV_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_div_str_pos' 'h4/thm/bit/DIV_GT0_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_nle_gt' 'h4/thm/real/real_lte_'
0. 'coq/Coq_Classes_DecidableClass_Decidable_eq_bool_obligation_1' 'h4/thm/rat/RAT_EQ_0SUB_'#@#variant
0. 'coq/Coq_ZArith_Znat_Z2Nat_inj_pred' 'h4/thm/DeepSyntax/deep_form_size_def_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_diag' 'h4/thm/gcd/GCD_REF_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_oppc' 'h4/thm/extreal/extreal_sqrt_def_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_le_compat_r' 'h4/thm/integer/TINT_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_iff' 'h4/thm/binary_ieee/float_compare_EQ_float_compare_'
0. 'coq/Coq_ZArith_BinInt_Z_shiftr_opp_r' 'h4/thm/integer/INT_SUB_RNEG_'
0. 'coq/Coq_Bool_Bool_xorb_nilpotent' 'h4/thm/integer/INT_SUB_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lcm_1_r' 'h4/thm/arithmetic/DIV_ONE_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_bounded/0'#@#variant 'h4/thm/real/REAL_POS_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_lt_cancel' 'h4/thm/arithmetic/LESS_MONO_REV_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_involutive' 'h4/thm/real/REAL_NEGNEG_'
0. 'coq/Coq_Bool_Bool_andb_false_iff' 'h4/thm/rat/RAT_NO_ZERODIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_involutive' 'h4/thm/integer/INT_DIV_CALCULATE_e4'
0. 'coq/Coq_ZArith_BinInt_Z_eq_opp_r' 'h4/thm/complex/COMPLEX_NEG_EQ_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sub_min_distr_l' 'h4/thm/transc/RPOW_SUB_'
0. 'coq/Coq_ZArith_BinInt_Z_land_diag' 'h4/thm/gcd/GCD_REF_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_nle_gt' 'h4/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_0_r'#@#variant 'h4/thm/util_prob/logr_1_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_glb_lt' 'h4/thm/divides/DIVIDES_SUB_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_divide_iff' 'h4/thm/arithmetic/MIN_LT_e1'
0. 'coq/Coq_QArith_Qpower_Qpower_pos'#@#variant 'h4/thm/float/REAL_POW_LE_1_'#@#variant
0. 'coq/Coq_Bool_Bool_xorb_true_l' 'h4/thm/numeral/texp_help_def_0'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_r' 'h4/thm/hrat/TRAT_MUL_WELLDEFINED_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_refl' 'h4/thm/divides/DIVIDES_REFL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_inj_wd' 'h4/thm/string/EXPLODE_11_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_succ_l' 'h4/thm/arithmetic/PRE_SUB_'
0. 'coq/Coq_Reals_Rbasic_fun_Rmin_pos' 'h4/thm/binary_ieee/le2_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rinv_0_lt_compat'#@#variant 'h4/thm/extreal/sqrt_pos_le_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_diag'#@#variant 'h4/thm/arithmetic/TIMES2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_clearbit_spec_prime'#@#variant 'h4/thm/extreal/extreal_div_def_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_add_lt_sub_r' 'h4/thm/arithmetic/SUB_LEFT_LESS_'
0. 'coq/Coq_NArith_BinNat_N_mod_0_l' 'h4/thm/integer/INT_QUOT_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_le_compat_r' 'h4/thm/hrat/TRAT_ADD_WELLDEFINED_'#@#variant
0. 'coq/Coq_ZArith_Znat_Z2Nat_inj_lt'#@#variant 'h4/thm/float/FLOAT_GE_'
0. 'coq/Coq_NArith_BinNat_N_lt_pred_lt_succ' 'h4/thm/bit/TWOEXP_LE_IMP_LE_LOG2_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_pred' 'h4/thm/numeral_bit/numeral_ilog2_1'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_pred_lt_mono' 'h4/thm/integerRing/int_rewrites_tLRRRRLRRR'
0. 'coq/Coq_Reals_Rtrigo1_sin_gt_0'#@#variant 'h4/thm/transc/SIN_POS_PI2_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_succ_inj_wd' 'h4/thm/DeepSyntax/deep_form_11_2'
0. 'coq/Coq_ZArith_Zorder_Zle_0_nat'#@#variant 'h4/thm/frac/FRAC_DNMPOS_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_le_0_l' 'h4/thm/extreal/le_infty_tLL'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_factor_r' 'h4/thm/hreal/HRAT_LT_ADDR_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_of_N' 'h4/thm/ieee/Fraction_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Zlt_Qlt' 'h4/thm/realax/real_lt_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_pow_1_l'#@#variant 'h4/thm/transc/ONE_RPOW_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div_mul' 'h4/thm/integer/INT_DIV_RMUL_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_mul_cancel_l' 'h4/thm/rat/RAT_EQ_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_lt_cancel' 'h4/thm/arithmetic/LESS_MONO_REV_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lor_diag' 'h4/thm/real/REAL_MAX_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_quot_0_l' 'h4/thm/integer/INT_REM0_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rle_minus' 'h4/thm/extreal/sub_lt_zero_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rgt_or_ge' 'h4/thm/integer/INT_LET_TOTAL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_succ' 'h4/thm/numeral/DIV2_BIT1_'
0. 'coq/Coq_ZArith_Znat_Z2N_inj_pred' 'h4/thm/extreal/extreal_abs_def_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_lt_mono_nonneg'#@#variant 'h4/thm/integer/INT_LT_MUL2_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_eq_opp_l' 'h4/thm/complex/COMPLEX_NEG_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_le_compat_l' 'h4/thm/realax/TREAL_LT_ADD_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_succ_l' 'h4/thm/arithmetic/MULT_CLAUSES_4'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_add_distr' 'h4/thm/logroot/EXP_MUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_lt_trans' 'h4/thm/real/REAL_LET_TRANS_'
0. 'coq/Coq_Arith_Mult_mult_lt_compat_l'#@#variant 'h4/thm/logroot/ROOT_LE_MONO_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zle_0_nat'#@#variant 'h4/thm/float/twogz_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_odd_1' 'h4/thm/float/FLOAT_INFINITIES_SIGNED_e1'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_le_sub_le_add_r' 'h4/thm/integer/INT_LT_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_le_mono_r' 'h4/thm/integer/INT_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sub_add_distr' 'h4/thm/arithmetic/SUB_PLUS_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_factor_l' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_ngt' 'h4/thm/integer/int_le_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_lt_trans' 'h4/thm/arithmetic/LESS_EQ_LESS_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_eq_cases' 'h4/thm/string/string_le_def_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Zpos_eq_iff' 'h4/thm/integer/INT_QUOT_CALCULATE_2'
0. 'coq/Coq_PArith_BinPos_Pos_min_glb_iff' 'h4/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_negb_even' 'h4/thm/integerRing/int_ring_thms_e17'#@#variant
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_incr' 'h4/thm/DeepSyntax/deep_form_size_def_2'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_succ' 'h4/thm/rat/RAT_AINV_CALCULATE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_even_1' 'h4/thm/ieee/Plus_zero_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_pred_double_spec' 'h4/thm/numeral/numeral_pre_e4'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_setbit_spec_prime'#@#variant 'h4/thm/real/real_sub_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_id' 'h4/thm/arithmetic/MAX_IDEM_'
0. 'coq/Coq_NArith_BinNat_N_lt_nge' 'h4/thm/real/real_lt_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_add_r' 'h4/thm/arithmetic/LESS_EQ_ADD_'
0. 'coq/Coq_Reals_Rminmax_Rmin_l' 'h4/thm/real/REAL_MIN_ALT_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lxor_nilpotent' 'h4/thm/real/REAL_SUB_REFL_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_pow_succ_r' 'h4/thm/arithmetic/EXP_e1'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_ge_le_iff' 'h4/thm/real/real_ge_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_nonneg_pos'#@#variant 'h4/thm/util_prob/REAL_LT_LE_MUL_'#@#variant
0. 'coq/Coq_Reals_Rtrigo_calc_cos_PI3'#@#variant 'h4/thm/numeral/numeral_distrib_13'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_testbit_even_0'#@#variant 'h4/thm/toto/numeralOrd_3'
0. 'coq/Coq_PArith_BinPos_Pos_add_lt_mono_l' 'h4/thm/real/REAL_LE_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_0_iff' 'h4/thm/integer/INT_NEG_EQ0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_max_distr' 'h4/thm/complex/COMPLEX_EXP_SUB_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_succ_le_mono' 'h4/thm/transc/EXP_MONO_LE_'
0. 'coq/Coq_Reals_Rtrigo1_PI_RGT_0' 'h4/thm/extreal/lt_infty_2'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sub_lt' 'h4/thm/arithmetic/SUB_LESS_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_lt_mono_r' 'h4/thm/real/REAL_LT_LMUL_IMP_'
0. 'coq/Coq_Bool_Bool_diff_false_true' 'h4/thm/extreal/ne_02_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_divide_xO_xO' 'h4/thm/numeral/numeral_lt_3'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_eq_cases' 'h4/thm/integer/INT_LE_LT_'
0. 'coq/Coq_NArith_BinNat_N_lxor_eq_0_iff' 'h4/thm/arithmetic/ABS_DIFF_EQ_0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_alt_dichotomy' 'h4/thm/integer/INT_LE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sub_le_mono_r' 'h4/thm/hrat/TRAT_ADD_WELLDEFINED_'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_minus_one_neq_zero'#@#variant 'h4/thm/binary_ieee/rounding_distinct_3'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_nle' 'h4/thm/real/real_lt_'
0. 'coq/Coq_ZArith_BinInt_Z_gcd_divide_iff' 'h4/thm/arithmetic/MIN_LE_e1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_succ' 'h4/thm/numeral/numeral_iisuc_e2'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_sgn' 'h4/thm/numpair/npair_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_refl' 'h4/thm/divides/DIVIDES_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_pred_l' 'h4/thm/numpair/invtri_le_'
0. 'coq/Coq_Reals_Rpower_Rpower_lt'#@#variant 'h4/thm/logroot/LOG_LE_MONO_'#@#variant
0. 'coq/Coq_ZArith_Znat_Zabs2Nat_inj_pos' 'h4/thm/rat/rat_nmr_def_'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_iff' 'h4/thm/DeepSyntax/deep_form_11_4'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_clearbit_spec_prime'#@#variant 'h4/thm/HolSmt/r131_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_Even_or_Odd' 'h4/thm/arithmetic/EVEN_OR_ODD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_lt_mono_l' 'h4/thm/integer/INT_LE_LADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_lxor_l' 'h4/thm/rat/RAT_AINV_LMUL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_succ' 'h4/thm/numeral_bit/numeral_ilog2_e2'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_pos_neg'#@#variant 'h4/thm/extreal/mul_lt_'#@#variant
0. 'coq/Coq_QArith_Qcanon_canon' 'h4/thm/integer/INT_ABS_NUM_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_odd' 'h4/thm/hrat/hrat_sucint_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_lt_mono_l' 'h4/thm/integer/INT_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_double'#@#variant 'h4/thm/util_prob/neg_lg_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_diag' 'h4/thm/extreal/max_refl_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lxor_lnot_lnot' 'h4/thm/integer/INT_NEG_MUL2_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lnot_lxor_l' 'h4/thm/int_arith/move_sub_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_l2i_i2l'#@#variant 'h4/thm/rat/RAT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_involutive' 'h4/thm/extreal/neg_neg_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_le_compat_l' 'h4/thm/integer/TINT_LT_ADD_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_sub_l' 'h4/thm/extreal/min_le1_'
0. 'coq/Coq_ZArith_BinInt_Z_lor_lnot_diag'#@#variant 'h4/thm/real/REAL_ADD_RINV_'#@#variant
0. 'coq/Coq_Reals_Rtrigo_calc_deg_rad' 'h4/thm/string/EXPLODE_IMPLODE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_cancel_r' 'h4/thm/complex/COMPLEX_EQ_RADD_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_divide' 'h4/thm/real/le_int_0'
0. 'coq/Coq_FSets_FSetPositive_PositiveSet_inter_spec' 'h4/thm/int_bitwise/int_bit_and_'
0. 'coq/Coq_QArith_QArith_base_Qplus_inj_l' 'h4/thm/integer/INT_LE_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sub_max_distr_l' 'h4/thm/transc/RPOW_ADD_'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_lt_not_gt' 'h4/thm/realax/HREAL_LT_GT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_null_iff' 'h4/thm/intExtension/INT_SGN_CLAUSES_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_cancel_l' 'h4/thm/complex/COMPLEX_EQ_LADD_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_min_glb' 'h4/thm/divides/DIVIDES_ADD_1_'
0. 'coq/Coq_ZArith_BinInt_Z_pred_le_mono' 'h4/thm/integerRing/int_rewrites_tRRRRRRLRRRR'
0. 'coq/Coq_QArith_QArith_base_Qlt_le_trans' 'h4/thm/extreal/lte_trans_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_factor_l' 'h4/thm/integer/INT_DIVIDES_MUL_0'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_le_compat_r' 'h4/thm/integer/TINT_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_pos_pos' 'h4/thm/integer/TINT_LT_MUL_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pow_le_mono_r_iff'#@#variant 'h4/thm/integer/INT_LE_MONO_'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_id' 'h4/thm/pred_set/pair_to_num_inv_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_nonpos_nonneg'#@#variant 'h4/thm/numeral/numeral_distrib_24'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_lt_mono_r' 'h4/thm/rat/RAT_LES_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_lub_iff' 'h4/thm/arithmetic/MAX_LE_e1'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_eq_mul_1'#@#variant 'h4/thm/gcd/GCD_EQ_0_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_pred_l' 'h4/thm/real/REAL_MUL_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pred_succ' 'h4/thm/transc/LN_EXP_'
0. 'coq/Coq_ZArith_BinInt_Z_lxor_lnot_lnot' 'h4/thm/complex/COMPLEX_NEG_DIV2_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_mul_r' 'h4/thm/integer/INT_DIVIDES_RMUL_'
0. 'coq/Coq_Reals_RIneq_Rplus_gt_compat_l' 'h4/thm/realax/TREAL_LT_ADD_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zgt_asym' 'h4/thm/integer/INT_LT_GT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_pred_l' 'h4/thm/complex/COMPLEX_NEG_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_1_r' 'h4/thm/rat/RAT_SUB_RID_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_lt_iff' 'h4/thm/arithmetic/MIN_LE_0'
0. 'coq/Coq_ZArith_Znat_N_nat_Z' 'h4/thm/realax/hreal_of_real_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qinv_le_0_compat'#@#variant 'h4/thm/real/REAL_INV_POS_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftl_1_l'#@#variant 'h4/thm/numeral/numeral_texp_help_0'
0. 'coq/Coq_PArith_BinPos_Pos_leb_le' 'h4/thm/quote/index_lt_def_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mod_small' 'h4/thm/arithmetic/LESS_MOD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_lt_mono' 'h4/thm/integerRing/int_rewrites_tRRRRRRLRRRR'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lcm_1_r' 'h4/thm/real/REAL_SUB_RZERO_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_sub_add' 'h4/thm/hreal/HREAL_SUB_ADD_'
0. 'coq/Coq_NArith_BinNat_N_add_le_mono_l' 'h4/thm/hreal/HRAT_LT_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_le_mono' 'h4/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_1_succ' 'h4/thm/transc/ATN_BOUNDS_0'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_w4_spec' 'h4/thm/integerRing/int_ring_thms_0'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pos_pred_succ' 'h4/thm/rat/RAT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_0_iff' 'h4/thm/integer/INT_DIV_CALCULATE_3'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftl_mul_pow2'#@#variant 'h4/thm/extreal/sub_rneg_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_pred_l' 'h4/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_QArith_QArith_base_Qmult_lt_0_le_reg_r'#@#variant 'h4/thm/float/REAL_LT_RCANCEL_IMP_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_add_diag_r' 'h4/thm/hreal/HRAT_LT_ADDL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_succ_lt_mono' 'h4/thm/numeral/numeral_lte_3'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_succ' 'h4/thm/quote/index_size_def_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_pow' 'h4/thm/complex/COMPLEX_MUL_LNEG_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigN_BigZ_spec_Z_of_N' 'h4/thm/ieee/Fraction_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_divide_lcm_r' 'h4/thm/integer/INT_DIVIDES_MUL_e1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_lt_iff' 'h4/thm/arithmetic/MIN_LT_0'
0. 'coq/Coq_Bool_Bool_negb_involutive' 'h4/thm/complex/CONJ_CONJ_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_eq_le_incl' 'h4/thm/hrat/TRAT_EQ_AP_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_nonneg_nonneg' 'h4/thm/arithmetic/LESS_MULT2_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_mul_l' 'h4/thm/divides/DIVIDES_MULT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_inj_wd' 'h4/thm/rat/RAT_EQ_AINV_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_min_r' 'h4/thm/extreal/min_le2_'
0. 'coq/Coq_Reals_Ranalysis4_sinh_lt' 'h4/thm/integer/TINT_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Classes_DecidableClass_Decidable_eq_Z_obligation_1' 'h4/thm/quote/compare_index_equal_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div2_nonneg'#@#variant 'h4/thm/numeral/numeral_distrib_32'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_eq_0' 'h4/thm/gcd/GCD_EQ_0_'
0. 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_le_lt_iff' 'h4/thm/integer/INT_NOT_LE_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_le_mono' 'h4/thm/prim_rec/LESS_MONO_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_opp_l' 'h4/thm/HolSmt/r130_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_pred_double_spec' 'h4/thm/numeral_bit/NUMERAL_iDIV2_4'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_nonneg_r'#@#variant 'h4/thm/real/REAL_LT_RMUL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_negb_even' 'h4/thm/numRing/num_ring_thms_e17'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lcm_1_r' 'h4/thm/integer/INT_SUB_REDUCE_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_Odd_succ' 'h4/thm/binary_ieee/exp_gt2_'#@#variant
0. 'coq/Coq_Reals_SeqProp_CV_plus' 'h4/thm/seq/SER_SUB_'
0. 'coq/Coq_ZArith_BinInt_Z_div_1_r' 'h4/thm/rat/RAT_SUB_RID_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_greatest' 'h4/thm/divides/DIVIDES_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_add_r' 'h4/thm/transc/RPOW_SUB_'
0. 'coq/Coq_QArith_QArith_base_Qlt_not_le' 'h4/thm/arithmetic/LESS_EQ_ANTISYM_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_lt_iff' 'h4/thm/arithmetic/MAX_LT_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_Zpos' 'h4/thm/extreal/extreal_lt_eq_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_lt_mono_r' 'h4/thm/arithmetic/LESS_EQ_MONO_ADD_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_sub_mask_nul_iff' 'h4/thm/quote/compare_index_equal_'
0. 'coq/Coq_Arith_PeanoNat_Nat_nle_gt' 'h4/thm/integer/INT_NOT_LT_'
0. 'coq/Coq_ZArith_Znat_Zabs_N_nat' 'h4/thm/rat/RAT_SGN_CALCULATE_'
0. 'coq/__constr_Coq_Init_Peano_le_0_1' 'h4/thm/realax/TREAL_EQ_REFL_'#@#variant
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_IsTO_le_lteq' 'h4/thm/integral/LE_LT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_min_r' 'h4/thm/extreal/min_le2_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_lub_lt_iff' 'h4/thm/util_prob/MAX_LE_X_'
0. 'coq/Coq_Reals_Rtrigo_calc_sqrt2_neq_0'#@#variant 'h4/thm/binary_ieee/rounding_distinct_4'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_nlt_ge' 'h4/thm/integer/INT_NOT_LT_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_le_iff' 'h4/thm/arithmetic/MAX_LE_0'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_xO_r' 'h4/thm/complex/COMPLEX_NEG_RDIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_refl' 'h4/thm/realax/TREAL_EQ_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_refl' 'h4/thm/hrat/TRAT_EQ_REFL_'#@#variant
0. 'coq/Coq_Arith_Min_le_min_l' 'h4/thm/real/REAL_MIN_LE1_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftr_opp_r' 'h4/thm/HolSmt/r131_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_le_compat_r' 'h4/thm/extreal/le_radd_imp_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_1_l'#@#variant 'h4/thm/integral/LE_0_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_opp' 'h4/thm/numeral/numeral_add_6'#@#variant
0. 'coq/Coq_NArith_BinNat_N_clearbit_spec_prime'#@#variant 'h4/thm/frac/frac_div_def_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_le_mono_l' 'h4/thm/real/REAL_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_shuffle3' 'h4/thm/HolSmt/r086_'
0. 'coq/Coq_Arith_PeanoNat_Nat_testbit_even_0'#@#variant 'h4/thm/toto/qk_numeralOrd_3'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_0_iff' 'h4/thm/intExtension/INT_SGN_CLAUSES_1'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lcm_eq_0' 'h4/thm/arithmetic/MULT_EQ_0_'
0. 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_ge_le_iff' 'h4/thm/integer/INT_GT_CALCULATE_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lxor_0_l' 'h4/thm/realax/TREAL_ADD_LID_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pred_succ' 'h4/thm/numeral/DIV2_BIT1_'
0. 'coq/Coq_ZArith_BinInt_Z_divide_factor_r' 'h4/thm/integer/INT_DIVIDES_MUL_e1'
0. 'coq/Coq_ZArith_Znat_Zabs2Nat_inj_pos' 'h4/thm/ieee/Fraction_'#@#variant
0. 'coq/Coq_ZArith_Znat_Z2Nat_inj_pos' 'h4/thm/complex/complex_of_num_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_succ_le_mono' 'h4/thm/arithmetic/LESS_MONO_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_div_same'#@#variant 'h4/thm/real/REAL_DIV_REFL_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rmult_lt_compat_r'#@#variant 'h4/thm/real/REAL_LE_RMUL_IMP_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_succ_lt_mono' 'h4/thm/integerRing/int_rewrites_tRRRRRRLRRRR'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_1_l'#@#variant 'h4/thm/divides/ONE_DIVIDES_ALL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_pos_l'#@#variant 'h4/thm/real/REAL_LT_LMUL_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_w1_spec' 'h4/thm/integerRing/int_is_ring_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_refl' 'h4/thm/poly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_div2_double'#@#variant 'h4/thm/numpair/invtri_linverse_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_eq_0' 'h4/thm/intExtension/INT_NO_ZERODIV_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zle_not_lt' 'h4/thm/integer/INT_LTE_ANTSYM_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftl_mul_pow2'#@#variant 'h4/thm/rat/RAT_DIV_MULMINV_'
0. 'coq/Coq_PArith_BinPos_Pos_add_succ_r' 'h4/thm/frac/FRAC_AINV_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_cancel_l' 'h4/thm/real/REAL_EQ_LMUL2_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_le_ngt' 'h4/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_nlt_0_r' 'h4/thm/bit/BIT_ZERO_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_pos_nonneg'#@#variant 'h4/thm/util_prob/REAL_LE_LT_MUL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_pred' 'h4/thm/numeral_bit/NUMERAL_iDIV2_2'
0. 'coq/Coq_ZArith_BinInt_Z_nlt_ge' 'h4/thm/integer/int_le_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_lt_mono_pos_r'#@#variant 'h4/thm/real/REAL_LT_RMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_le_mono' 'h4/thm/transc/EXP_MONO_IMP_'
0. 'coq/Coq_ZArith_BinInt_Z_succ_le_mono' 'h4/thm/numeral/numeral_lt_3'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_pred' 'h4/thm/string/IMPLODE_EXPLODE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_nonneg_nonneg' 'h4/thm/integer/TINT_LT_MUL_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_div_str_pos'#@#variant 'h4/thm/bit/DIV_GT0_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mod_opp_opp' 'h4/thm/real/ABS_DIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_land_diag' 'h4/thm/extreal/min_refl_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_0_r'#@#variant 'h4/thm/numeral/numeral_exp_0'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_lteq' 'h4/thm/string/string_le_def_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pred_le_mono' 'h4/thm/numpair/tri_LT_I_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_nge' 'h4/thm/arithmetic/NOT_LESS_EQUAL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_nle_gt' 'h4/thm/integer/INT_NOT_LE_'
0. 'coq/Coq_PArith_BinPos_Pos_lt_eq_cases' 'h4/thm/rat/rat_leq_def_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_divide_mono_r' 'h4/thm/integer/TINT_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_0_succ' 'h4/thm/transc/ATN_0'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_le_max_l' 'h4/thm/arithmetic/LESS_EQ_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_eq_cases' 'h4/thm/rat/rat_leq_def_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_clearbit_spec_prime'#@#variant 'h4/thm/extreal/extreal_sub_add_'
0. 'coq/Coq_Reals_RIneq_Rmult_le_compat'#@#variant 'h4/thm/real/REAL_LE_MUL2_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pow_lt_mono_r_iff'#@#variant 'h4/thm/transc/RPOW_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_1' 'h4/thm/integerRing/int_calculate_e13'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_gcd_0_l' 'h4/thm/hrat/TRAT_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftl_1_l'#@#variant 'h4/thm/HolSmt/r221_'#@#variant
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_pred' 'h4/thm/extreal/extreal_sqrt_def_0'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_le_compat_l' 'h4/thm/real/REAL_LT_IADD_'
0. 'coq/Coq_Reals_ROrderedType_ROrder_lt_irrefl' 'h4/thm/extreal/lt_refl_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_power_pos' 'h4/thm/real/REAL_POW_LT_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rplus_le_lt_0_compat'#@#variant 'h4/thm/extreal/lte_mul_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_lt_mono_r' 'h4/thm/integer/INT_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_0_l' 'h4/thm/integer/INT_MOD0_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_succ_inj' 'h4/thm/num/INV_SUC_'
0. 'coq/Coq_NArith_BinNat_N_succ_le_mono' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_succ_l' 'h4/thm/integer/INT_MUL_CALCULATE_1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_clearbit_spec_prime'#@#variant 'h4/thm/complex/complex_sub_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_shiftl_mul_pow2'#@#variant 'h4/thm/frac/frac_sub_def_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_clearbit_spec_prime'#@#variant 'h4/thm/integer/int_sub_'
0. 'coq/Coq_Bool_Bool_negb_xorb_l' 'h4/thm/arithmetic/PRE_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_double_twice'#@#variant 'h4/thm/extreal/inv_1over_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_id' 'h4/thm/arithmetic/MAX_IDEM_'
0. 'coq/Coq_Init_Peano_pred_Sn' 'h4/thm/transc/ATN_TAN_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_1_r' 'h4/thm/arithmetic/ADD1_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_refl' 'h4/thm/realax/TREAL_EQ_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lcm_divide_iff' 'h4/thm/util_prob/MAX_LE_X_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_succ_r' 'h4/thm/real/REAL_NEG_RMUL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_nlt_0_r' 'h4/thm/prim_rec/NOT_LESS_0_'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_lt_not_gt' 'h4/thm/arithmetic/LESS_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_alt_dichotomy' 'h4/thm/arithmetic/LESS_EQ_CASES_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_lt_cancel' 'h4/thm/arithmetic/LESS_MONO_REV_'
0. 'coq/Coq_NArith_BinNat_N_lt_total' 'h4/thm/extreal/lt_total_'
0. 'coq/Coq_ZArith_BinInt_Zmult_integral' 'h4/thm/extreal/add_not_infty_e1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_mul_r' 'h4/thm/arithmetic/SUB_PLUS_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_pos_nonneg'#@#variant 'h4/thm/extreal/let_mul_'#@#variant
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_incr' 'h4/thm/extreal/extreal_exp_def_0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div_mul' 'h4/thm/real/REAL_DIV_RMUL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_negb_even' 'h4/thm/numRing/num_ring_thms_e17'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_lub_iff' 'h4/thm/util_prob/MAX_LE_X_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_odd_sub' 'h4/thm/integer/INT_SUB_'
0. 'coq/Coq_ZArith_BinInt_Z_even_1' 'h4/thm/ieee/Plus_zero_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lnot_neg'#@#variant 'h4/thm/integer/INT_NEG_LE0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_trichotomy' 'h4/thm/integer/INT_LT_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sub_add' 'h4/thm/arithmetic/SUB_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_rem_0_l' 'h4/thm/integer/INT_REM0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_cancel_l' 'h4/thm/integer/INT_EQ_LMUL2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mod_0_l' 'h4/thm/integer/INT_DIV_0_'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_is_nonneg'#@#variant 'h4/thm/integer/INT_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftr_div_pow2'#@#variant 'h4/thm/rat/RAT_SUB_ADDAINV_'
0. 'coq/Coq_Reals_Rpower_arcsinh_lt' 'h4/thm/bit/TWOEXP_MONO2_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_square_spec' 'h4/thm/real/REAL_DOUBLE_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_mul_cancel_r' 'h4/thm/integer/INT_EQ_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_lt_mono_r' 'h4/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_NArith_BinNat_N_pred_div2_up' 'h4/thm/extreal/extreal_ainv_def_e2'
0. 'coq/Coq_Arith_Max_max_idempotent' 'h4/thm/real/REAL_MAX_REFL_'
0. 'coq/Coq_Reals_Rpower_Rpower_plus' 'h4/thm/arithmetic/EXP_ADD_'
0. 'coq/Coq_ZArith_BinInt_Z_pred_le_mono' 'h4/thm/numpair/tri_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_lt_lin'#@#variant 'h4/thm/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_ZArith_Zorder_not_Zeq' 'h4/thm/arithmetic/LESS_LESS_CASES_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_inj_wd' 'h4/thm/string/IMPLODE_11_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_lcm_r' 'h4/thm/hreal/HRAT_LT_ADDR_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_antisym' 'h4/thm/divides/DIVIDES_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pred_div2_up' 'h4/thm/extreal/extreal_exp_def_0'
0. 'coq/Coq_Lists_List_incl_refl' 'h4/thm/rich_list/IS_SUFFIX_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_xO_r' 'h4/thm/complex/COMPLEX_NEG_RMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_pos_pred' 'h4/thm/numRing/num_ring_thms_e17'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_le_incl' 'h4/thm/real/REAL_LT_IMP_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_irrefl' 'h4/thm/integer/INT_LT_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_le_mono' 'h4/thm/real/REAL_POS_MONO_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_nge' 'h4/thm/HolSmt/r096_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_1' 'h4/thm/util_prob/ONE_MINUS_HALF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_1_l' 'h4/thm/HolSmt/r213_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_nonneg_l'#@#variant 'h4/thm/extreal/le_lmul_imp_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lnot_0_l' 'h4/thm/integer/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_1_l' 'h4/thm/integer/INT_DIVIDES_1_0'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_1_l' 'h4/thm/integer/INT_MUL_REDUCE_1'
0. 'coq/Coq_ZArith_Zorder_Zmult_le_compat'#@#variant 'h4/thm/integer/INT_LT_MUL2_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qlt_not_le' 'h4/thm/real/REAL_LTE_ANTSYM_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_le_mono' 'h4/thm/real/REAL_POS_MONO_'
0. 'coq/Coq_NArith_BinNat_N_gcd_1_r' 'h4/thm/integer/INT_MUL_RZERO_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_lt_le_mono' 'h4/thm/real/REAL_LTE_ADD2_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_id' 'h4/thm/arithmetic/MAX_IDEM_'
0. 'coq/Coq_Reals_Rtrigo_def_cosn_no_R0' 'h4/thm/binary_ieee/zero_neq_twopow_'#@#variant
0. 'coq/Coq_NArith_Nnat_Nat2N_id' 'h4/thm/binary_ieee/num2rounding_rounding2num_'
0. 'coq/Coq_Reals_ROrderedType_R_as_UBE_eqb_eq' 'h4/thm/quote/compare_index_equal_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_eq_add_0' 'h4/thm/gcd/GCD_EQ_0_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_nonneg_nonneg' 'h4/thm/binary_ieee/le2_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mod_1_r'#@#variant 'h4/thm/arithmetic/MOD_1_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Ropp_Rmin' 'h4/thm/transc/EXP_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_eq_le_incl' 'h4/thm/hrat/TRAT_EQ_AP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div_1_r' 'h4/thm/rat/RAT_SUB_RID_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_eq_0' 'h4/thm/real/REAL_ENTIRE_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rmult_lt_compat_r'#@#variant 'h4/thm/extreal/le_rmul_imp_'#@#variant
0. 'coq/Coq_Arith_Min_min_glb' 'h4/thm/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_opp' 'h4/thm/real/ABS_NEG_'
0. 'coq/Coq_Reals_Rfunctions_powerRZ_R1' 'h4/thm/real/POW_ONE_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Ropp_Rmax' 'h4/thm/transc/EXP_ADD_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_iff' 'h4/thm/ieee/ccode2num_11_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_trichotomy' 'h4/thm/rat/RAT_LES_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_antisym' 'h4/thm/divides/DIVIDES_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_compare_succ' 'h4/thm/quote/index_compare_def_7'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pred_sub'#@#variant 'h4/thm/arithmetic/DIV2_def_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_oppc' 'h4/thm/quote/index_size_def_0'#@#variant
0. 'coq/Coq_Lists_List_hd_error_nil' 'h4/thm/enumeral/bt_to_list_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_nle_gt' 'h4/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_div2' 'h4/thm/complex/COMPLEX_OF_REAL_INV_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_min_id' 'h4/thm/real/REAL_MAX_REFL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sub_succ' 'h4/thm/real/REAL_NEG_MUL2_'
0. 'coq/Coq_QArith_QArith_base_Qle_not_lt' 'h4/thm/integer/INT_LTE_ANTSYM_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_lt_mono_pos_r'#@#variant 'h4/thm/real/REAL_LE_RMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_divide_xO_xO' 'h4/thm/integerRing/int_rewrites_tLRRRLRRR'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_irrefl' 'h4/thm/integer/INT_LT_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_add_le_sub_r' 'h4/thm/extreal/le_sub_imp_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_add_le_sub_r' 'h4/thm/extreal/lt_sub_imp_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_ldiff_diag' 'h4/thm/arithmetic/SUB_EQUAL_0_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_id' 'h4/thm/toto/cpn_BIJ_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_le_mono' 'h4/thm/numeral/numeral_lte_e6'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_nonneg_l'#@#variant 'h4/thm/real/REAL_LT_LMUL_IMP_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_l' 'h4/thm/realax/REAL_LT_IADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_pos_neg'#@#variant 'h4/thm/extreal/mul_lte_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_min_r' 'h4/thm/extreal/min_le2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_quot_1_r' 'h4/thm/real/REAL_ADD_RID_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_nonneg' 'h4/thm/integral/LT_0_'
0. 'coq/Coq_PArith_BinPos_Pos_lt_1_succ' 'h4/thm/divides/ZERO_LT_PRIMES_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_le_trans' 'h4/thm/rat/RAT_LES_LEQ_TRANS_'
0. 'coq/Coq_Reals_Ranalysis4_sinh_lt' 'h4/thm/real/REAL_POS_MONO_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_rem_le'#@#variant 'h4/thm/arithmetic/DIV_LESS_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_nlt_ge' 'h4/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_pos_neg'#@#variant 'h4/thm/integer/INT_NEG_GT0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_succ_inj_wd' 'h4/thm/DeepSyntax/deep_form_11_2'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_succ_lt_mono' 'h4/thm/integerRing/int_rewrites_tLRRRLRRR'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_le_mono' 'h4/thm/bit/TWOEXP_MONO_'#@#variant
0. 'coq/Coq_Reals_SeqProp_not_Rlt' 'h4/thm/HolSmt/t015_'
0. 'coq/Coq_ZArith_BinInt_Z_div_pos'#@#variant 'h4/thm/integer/INT_LTE_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_pred' 'h4/thm/numRing/num_rewrites_tRRLRR'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_pos_r'#@#variant 'h4/thm/logroot/EXP_LE_ISO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pred_le_mono' 'h4/thm/bit/TWOEXP_MONO_'#@#variant
0. 'coq/Coq_Reals_AltSeries_PI_tg_pos'#@#variant 'h4/thm/binary_ieee/zero_le_twopow_'#@#variant
0. 'coq/Coq_QArith_QOrderedType_QOrder_lt_irrefl' 'h4/thm/hreal/HRAT_LT_REFL_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_gt' 'h4/thm/real/lt_int_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_move_l' 'h4/thm/rat/RAT_LSUB_EQ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_le_mono_r' 'h4/thm/hreal/HRAT_LT_RMUL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_rem_1_l'#@#variant 'h4/thm/arithmetic/ZERO_MOD_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_pos_pos' 'h4/thm/integer/INT_LT_MUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_lt_trans' 'h4/thm/real/REAL_LET_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_succ_r' 'h4/thm/util_prob/LE_SUC_'
0. 'coq/Coq_ZArith_Znumtheory_not_prime_0' 'h4/thm/float/INFINITY_NOT_NAN_e1'
0. 'coq/Coq_PArith_BinPos_Pos_succ_le_mono' 'h4/thm/integerRing/int_rewrites_tLRRRLRRRR'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_lt_mono_r_iff'#@#variant 'h4/thm/real/REAL_LE_LMUL_'#@#variant
0. 'coq/Coq_ZArith_Znat_Z2Nat_inj_neg' 'h4/thm/DeepSyntax/deep_form_size_def_5'#@#variant
0. 'coq/Coq_Reals_Rpower_arcsinh_le' 'h4/thm/bit/TWOEXP_MONO2_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lt_1_mul_pos'#@#variant 'h4/thm/real/REAL_LTE_ADD_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_1' 'h4/thm/transc/SIN_0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_negb_even' 'h4/thm/frac/frac_sgn_def_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lor_diag' 'h4/thm/arithmetic/MAX_IDEM_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_negb_odd' 'h4/thm/integerRing/int_ring_thms_e17'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sub_add_distr' 'h4/thm/frac/FRAC_SUB_ADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_lt_mono_l' 'h4/thm/hreal/HRAT_LT_LMUL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_0_l_prime' 'h4/thm/integer/INT_REM0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_nonneg' 'h4/thm/transc/ATN_BOUNDS_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_even_1' 'h4/thm/ieee/Plus_zero_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_lt_mono_r' 'h4/thm/rat/RAT_LES_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_nonneg_nonneg' 'h4/thm/realax/TREAL_LT_MUL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_le_le_succ_r' 'h4/thm/prim_rec/LESS_SUC_'
0. 'coq/Coq_ZArith_BinInt_Z_opp_pred' 'h4/thm/sptree/lrnext_thm_e4'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_shuffle3' 'h4/thm/float/REAL_MUL_AC_e2'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_lub_lt_iff' 'h4/thm/extreal/max_le_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_m1_0'#@#variant 'h4/thm/extreal/lt_infty_2'
0. 'coq/Coq_ZArith_BinInt_Z_le_refl' 'h4/thm/integer/INT_LE_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_setbit_spec_prime'#@#variant 'h4/thm/extreal/extreal_sub_add_'
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_factor_l' 'h4/thm/real/REAL_LE_MAX1_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_pow' 'h4/thm/frac/FRAC_AINV_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_succ_diag_r' 'h4/thm/prim_rec/LESS_SUC_SUC_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_1_r' 'h4/thm/integer/INT_ADD_REDUCE_1'
0. 'coq/Coq_QArith_Qcanon_Qcle_refl' 'h4/thm/arithmetic/LESS_EQ_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_nonneg_nonneg' 'h4/thm/integer/INT_LT_MUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_sub_distr' 'h4/thm/real/REAL_SUB_LNEG_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_divide_add_cancel_l' 'h4/thm/poly/POLY_DIVIDES_SUB2_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rle_abs' 'h4/thm/bit/BIT_B_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_r' 'h4/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_glb_lt' 'h4/thm/divides/DIVIDES_ADD_1_'
0. 'coq/Coq_NArith_BinNat_N_mul_divide_mono_r' 'h4/thm/integer/TINT_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_1_l'#@#variant 'h4/thm/extreal/le_infty_tLL'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_nonneg' 'h4/thm/arithmetic/FACT_LESS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_sub' 'h4/thm/real/REAL_SUB_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_lt_mono_pos_l'#@#variant 'h4/thm/transc/RPOW_LE_'#@#variant
0. 'coq/Coq_ZArith_Znat_Zabs2N_inj_le'#@#variant 'h4/thm/float/FLOAT_LE_'
0. 'coq/Coq_Reals_RIneq_Rplus_ge_gt_compat' 'h4/thm/integer/INT_LET_ADD2_'
0. 'coq/Coq_NArith_Nnat_N2Nat_id' 'h4/thm/real/NUM_FLOOR_EQNS_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_lt_mono_pos_l'#@#variant 'h4/thm/rat/RAT_LES_LMUL_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_Even_or_Odd' 'h4/thm/arithmetic/EVEN_OR_ODD_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_incr_twice_plus_one' 'h4/thm/numeral/numeral_iisuc_e2'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_l' 'h4/thm/arithmetic/LESS_MOD_'
0. 'coq/Coq_NArith_BinNat_N_Odd_succ' 'h4/thm/numeral/numeral_distrib_21'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_le_compat_l' 'h4/thm/real/REAL_LE_LADD_IMP_'
0. 'coq/Coq_NArith_BinNat_N_add_1_r'#@#variant 'h4/thm/arithmetic/ADD1_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_succ_r' 'h4/thm/complex/COMPLEX_NEG_RMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_succ_diag_r' 'h4/thm/prim_rec/LESS_SUC_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_total' 'h4/thm/string/string_lt_cases_'#@#variant
0. 'coq/Coq_Sets_Multiset_meq_congr' 'h4/thm/sorting/PERM_CONG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_sub' 'h4/thm/arithmetic/ADD_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_lt_mono' 'h4/thm/arithmetic/LESS_MONO_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_0_l' 'h4/thm/extreal/sub_lzero_'#@#variant
0. 'coq/Coq_Arith_Mult_mult_le_compat_l' 'h4/thm/realax/REAL_LT_IADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_div_str_pos'#@#variant 'h4/thm/bit/DIV_GT0_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_divide_xO_xO' 'h4/thm/numpair/tri_LT_'
0. 'coq/Coq_Reals_RIneq_Rmult_lt_0_compat' 'h4/thm/binary_ieee/le2_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sqrt_lt_cancel' 'h4/thm/arithmetic/LESS_MONO_REV_'
0. 'coq/Coq_MMaps_MMapWeakList_Some_iff' 'h4/thm/fcp/bit0_11_e1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_min_distr' 'h4/thm/transc/EXP_SUB_'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_lt_total' 'h4/thm/hreal/HRAT_LT_TOTAL_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_of_Q' 'h4/thm/prelim/ordering_BIJ_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sub_le_mono_r' 'h4/thm/hrat/TRAT_ADD_WELLDEFINED_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_le_mono' 'h4/thm/real/REAL_POS_MONO_'
0. 'coq/Coq_Numbers_Cyclic_ZModulo_ZModulo_Ptail_pos'#@#variant 'h4/thm/real/REAL_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_lor'#@#variant 'h4/thm/transc/LN_DIV_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lnot_neg'#@#variant 'h4/thm/integer/INT_NEG_LT0_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_succ_pred_double' 'h4/thm/numeral_bit/NUMERAL_iDIV2_4'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mod_same' 'h4/thm/integer/INT_REM_ID_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_le_compat_l' 'h4/thm/real/REAL_LT_IADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_id' 'h4/thm/arithmetic/MIN_IDEM_'
0. 'coq/Coq_ZArith_BinInt_Z_pred_le_mono' 'h4/thm/transc/EXP_MONO_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_diag' 'h4/thm/numeral/iSQR_'
0. 'coq/Coq_Arith_EqNat_eq_nat_refl' 'h4/thm/integer/INT_LE_REFL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_le_lin' 'h4/thm/numpair/invtri_le_'
0. 'coq/Coq_NArith_BinNat_N_succ_lt_mono' 'h4/thm/numeral/numeral_distrib_28'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lor_eq_0_iff' 'h4/thm/gcd/GCD_EQ_0_'
0. 'coq/Coq_Reals_Raxioms_Rlt_asym' 'h4/thm/realax/HREAL_LT_GT_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_ge' 'h4/thm/real/lt_int_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_nonneg_nonneg' 'h4/thm/integer/INT_LT_MUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_le_iff' 'h4/thm/extreal/le_max_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_divide_xO_xO' 'h4/thm/numeral/numeral_lt_4'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_neq_succ_0' 'h4/thm/quote/index_distinct_1'
0. 'coq/Coq_Reals_R_sqr_Rsqr_pos_lt'#@#variant 'h4/thm/intExtension/INT_ABS_NOT0POS_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_le_lteq' 'h4/thm/arithmetic/GREATER_OR_EQ_'
0. 'coq/Coq_NArith_BinNat_N_gcd_1_l' 'h4/thm/HolSmt/r233_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_negb_even' 'h4/thm/numRing/num_ring_thms_e17'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_le_mono_r'#@#variant 'h4/thm/real/REAL_LE_LMUL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_le_mono' 'h4/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_negb_even' 'h4/thm/frac/frac_sgn_def_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_Even_or_Odd' 'h4/thm/arithmetic/EVEN_OR_ODD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_pred_l' 'h4/thm/arithmetic/PRE_SUB_'
0. 'coq/Coq_ZArith_Znat_Zabs2Nat_id' 'h4/thm/pred_set/pair_to_num_inv_0'#@#variant
0. 'coq/Coq_Reals_R_sqrt_sqrt_le_1_alt' 'h4/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_min_le_compat_r' 'h4/thm/integer/TINT_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_cancel_l' 'h4/thm/realax/HREAL_EQ_LADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_0_l_prime' 'h4/thm/integer/INT_MOD0_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_le_refl' 'h4/thm/rat/RAT_EQUIV_REF_'
0. 'coq/Coq_ZArith_Znat_Zabs2N_inj_pos' 'h4/thm/rat/rat_dnm_def_'
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_factor_r' 'h4/thm/extreal/le_max2_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_succ_r' 'h4/thm/real/REAL_NEG_RMUL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_1_l' 'h4/thm/divides/ONE_DIVIDES_ALL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_pos_pred' 'h4/thm/util_prob/lg_pow_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_mod' 'h4/thm/integer/INT_MOD_SUB_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_compare' 'h4/thm/toto/qk_numOrd_def_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pos_pred_succ' 'h4/thm/string_num/s2n_n2s_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_1' 'h4/thm/integer/INT_NEG_0_'
0. 'coq/Coq_Arith_PeanoNat_Nat_min_id' 'h4/thm/arithmetic/MIN_IDEM_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_sub_0' 'h4/thm/rat/RAT_LES_SUB0_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_succ_l' 'h4/thm/integer/INT_MUL_CALCULATE_1'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_glb_lt_iff' 'h4/thm/integral/REAL_LT_MIN_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ge_le_iff' 'h4/thm/real/real_gt_'
0. 'coq/Coq_ZArith_BinInt_Z_div_0_l' 'h4/thm/integer/INT_MOD0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_le_mono' 'h4/thm/divides/LT_PRIMES_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sub_succ' 'h4/thm/extreal/neg_mul2_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_nge' 'h4/thm/real/REAL_NOT_LT_'
0. 'coq/Coq_NArith_BinNat_N_negb_even' 'h4/thm/util_prob/lg_pow_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_negb_odd' 'h4/thm/ratRing/rat_ring_thms_e17'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_rem_abs' 'h4/thm/real/ABS_DIV_'#@#variant
0. 'coq/Coq_Reals_ROrderedType_ROrder_lt_irrefl' 'h4/thm/rat/RAT_LES_REF_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_inj_wd' 'h4/thm/transc/EXP_INJ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_nge' 'h4/thm/real/REAL_NOT_LT_'
0. 'coq/Coq_PArith_BinPos_Pos_add_lt_mono_l' 'h4/thm/hreal/HRAT_LT_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_nlt_ge' 'h4/thm/arithmetic/NOT_LESS_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_square_spec' 'h4/thm/numeral/iDUB_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_succ_not_1' 'h4/thm/intto/BIT1_nz_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_le_mono_pos_r' 'h4/thm/logroot/EXP_LE_ISO_'
0. 'coq/Coq_ZArith_BinInt_Zminus_diag_reverse' 'h4/thm/arithmetic/ABS_DIFF_EQS_'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_one_neq_zero' 'h4/thm/binary_ieee/float_compare_distinct_2'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_E_bits_lt_antirefl' 'h4/thm/integer/TINT_LT_REFL_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_PI_neq0' 'h4/thm/ieee/ccode_distinct_3'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_opp_diag_l' 'h4/thm/realax/REAL_ADD_LINV_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_lub_iff' 'h4/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_min_l' 'h4/thm/arithmetic/SUB_LESS_EQ_'
0. 'coq/Coq_Bool_Bool_diff_true_false' 'h4/thm/ieee/roundmode_distinct_1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_succ_diag_r' 'h4/thm/prim_rec/LESS_SUC_REFL_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_double_plus_one' 'h4/thm/extreal/extreal_ainv_def_e2'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_Even_succ' 'h4/thm/binary_ieee/exp_gt2_'#@#variant
0. 'coq/Coq_QArith_Qround_Zdiv_Qdiv' 'h4/thm/hrat/hrat_mul_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_Even_succ' 'h4/thm/binary_ieee/exp_ge2_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_divide' 'h4/thm/string/char_ge_def_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_clearbit_spec_prime'#@#variant 'h4/thm/complex/complex_sub_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_pos_pos' 'h4/thm/realax/TREAL_LT_MUL_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_lt_mono_r_iff'#@#variant 'h4/thm/logroot/LT_EXP_ISO_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_le_mono' 'h4/thm/transc/EXP_MONO_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_divide_xO_xO' 'h4/thm/transc/EXP_MONO_LT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_refl' 'h4/thm/arithmetic/LESS_EQ_REFL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_le_iff' 'h4/thm/real/REAL_LE_MAX_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_Zpos' 'h4/thm/extreal/extreal_lt_eq_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_divide_mono_r' 'h4/thm/integer/TINT_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_1_r' 'h4/thm/HolSmt/r080_'
0. 'coq/Coq_PArith_BinPos_Pos_max_r' 'h4/thm/real/REAL_MAX_ALT_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_eq_mul_0' 'h4/thm/arithmetic/MULT_EQ_0_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_le_mono_pos_l'#@#variant 'h4/thm/arithmetic/EXP_BASE_LE_MONO_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mod_1_r'#@#variant 'h4/thm/numeral/numeral_exp_0'#@#variant
0. 'coq/Coq_Reals_Raxioms_R1_neq_R0' 'h4/thm/binary_ieee/float_compare_distinct_e5'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_lt_cancel' 'h4/thm/arithmetic/LESS_MONO_REV_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_nlt_ge' 'h4/thm/integer/INT_NOT_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ones_equiv'#@#variant 'h4/thm/numRing/num_rewrites_tLRLRR'
0. 'coq/Coq_ZArith_BinInt_Z_eq_le_incl' 'h4/thm/integer/INT_EQ_IMP_LE_'
0. 'coq/Coq_Reals_Rminmax_R_min_id' 'h4/thm/extreal/min_refl_'
0. 'coq/Coq_QArith_Qpower_Qpower_pos_positive'#@#variant 'h4/thm/real/REAL_POW_LT_'#@#variant
0. 'coq/Coq_Arith_Gt_gt_irrefl' 'h4/thm/prim_rec/LESS_REFL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_le_mono_r_iff'#@#variant 'h4/thm/arithmetic/EXP_BASE_LE_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_refl' 'h4/thm/hrat/TRAT_EQ_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_Even_succ' 'h4/thm/numeral/numeral_distrib_21'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_opp_le_mono' 'h4/thm/real/REAL_LT_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_asymm' 'h4/thm/rat/RAT_LES_ANTISYM_'
0. 'coq/Coq_ZArith_BinInt_Z_abs_pow' 'h4/thm/arithmetic/ADD_e1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_pred_l' 'h4/thm/complex/COMPLEX_MUL_LNEG_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_xO'#@#variant 'h4/thm/DeepSyntax/deep_form_size_def_2'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_nonneg_r'#@#variant 'h4/thm/extreal/le_rmul_imp_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_glb_lt' 'h4/thm/divides/DIVIDES_ADD_1_'
0. 'coq/Coq_ZArith_BinInt_Z_opp_involutive' 'h4/thm/complex/CONJ_CONJ_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_Odd_succ' 'h4/thm/binary_ieee/exp_ge2_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rle_max_compat_l' 'h4/thm/real/REAL_LT_IADD_'
0. 'coq/Coq_Reals_Rtrigo1_PI_neq0' 'h4/thm/ieee/roundmode_distinct_e5'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_le_mono' 'h4/thm/bit/TWOEXP_MONO2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_cancel_l' 'h4/thm/real/REAL_EQ_LADD_'
0. 'coq/Coq_ZArith_Znat_Zabs_N_nat' 'h4/thm/complex/MODU_NUM_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_pred_l' 'h4/thm/integer/INT_NEG_LMUL_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigN_BigZ_spec_Z_of_N' 'h4/thm/extreal/extreal_of_num_def_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_setbit_spec_prime'#@#variant 'h4/thm/rat/RAT_DIV_MULMINV_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lnot_ones' 'h4/thm/real/REAL_ADD_LINV_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_inj_wd' 'h4/thm/string/IMPLODE_11_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_cancel_l' 'h4/thm/real/REAL_EQ_LMUL2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_0_l'#@#variant 'h4/thm/integral/LE_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_pos_neg'#@#variant 'h4/thm/extreal/mul_lte_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lcm_diag' 'h4/thm/arithmetic/TIMES2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_pred_r' 'h4/thm/rat/RAT_AINV_RMUL_'
0. 'coq/Coq_ZArith_Zorder_Zmult_le_compat_r'#@#variant 'h4/thm/arithmetic/DIV_LE_MONOTONE_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_nonneg' 'h4/thm/transc/ATN_0'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_abs_0_iff' 'h4/thm/real/REAL_INV_EQ_0_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_opp_succ' 'h4/thm/complex/COMPLEX_EXP_NEG_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_succ_lt_mono' 'h4/thm/transc/EXP_MONO_LT_'
0. 'coq/Coq_Arith_PeanoNat_Nat_max_le_compat_l' 'h4/thm/integer/TINT_LT_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_sub' 'h4/thm/real/REAL_SUB_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_negb_even' 'h4/thm/frac/frac_sgn_def_'
0. 'coq/Coq_Reals_RIneq_Rplus_le_compat_l' 'h4/thm/integer/TINT_LT_ADD_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_le_mono' 'h4/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_lor' 'h4/thm/transc/EXP_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_0_iff' 'h4/thm/integer/INT_QUOT_CALCULATE_3'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_max_le_iff' 'h4/thm/arithmetic/MAX_LE_0'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_lt_total' 'h4/thm/string/string_lt_cases_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_inj_wd' 'h4/thm/real/REAL_INV_INJ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pred_div2_up' 'h4/thm/toto/num_dt_size_def_e2'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qle_refl' 'h4/thm/rat/RAT_LEQ_REF_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_le_iff' 'h4/thm/real/REAL_MIN_LE_'
0. 'coq/__constr_Coq_Lists_List_NoDup_0_1' 'h4/thm/lbtree/finite_rules_0'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_succ_l' 'h4/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_1_l'#@#variant 'h4/thm/numeral/numeral_texp_help_0'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_pos'#@#variant 'h4/thm/transc/LN_POS_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_le_compat_r' 'h4/thm/hrat/TRAT_ADD_WELLDEFINED_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_le_mono_l' 'h4/thm/rat/RAT_LES_LADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_diag' 'h4/thm/numeral/iSQR_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftl_shiftl' 'h4/thm/frac/FRAC_SUB_ADD_'
0. 'coq/Coq_Reals_Rfunctions_pow_add' 'h4/thm/real/POW_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_div2_double'#@#variant 'h4/thm/numeral_bit/NUMERAL_iDIV2_2'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_pos_r'#@#variant 'h4/thm/logroot/EXP_LT_ISO_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Zplus_succ_r_reverse' 'h4/thm/complex/COMPLEX_MUL_RNEG_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_lt_mono_pos_r'#@#variant 'h4/thm/intExtension/INT_LT_RMUL_EXP_'#@#variant
0. 'coq/Coq_Arith_Gt_gt_irrefl' 'h4/thm/extreal/lt_refl_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_nonneg_l'#@#variant 'h4/thm/integral/REAL_LE_LMUL1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_clearbit_spec_prime'#@#variant 'h4/thm/complex/complex_sub_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_of_N' 'h4/thm/ieee/Exponent_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_le_mono_nonneg_l'#@#variant 'h4/thm/extreal/le_lmul_imp_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_succ_l' 'h4/thm/rat/RAT_AINV_LMUL_'
0. 'coq/Coq_MMaps_MMapWeakList_Some_iff' 'h4/thm/canonical/spolynom_11_1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_opp_diag_r' 'h4/thm/real/REAL_ADD_RINV_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_max_lt_iff' 'h4/thm/util_prob/X_LE_MAX_'
0. 'coq/Coq_Reals_RIneq_Rge_antisym' 'h4/thm/rat/RAT_LEQ_ANTISYM_'
0. 'coq/Coq_NArith_BinNat_N_log2_lor' 'h4/thm/transc/EXP_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_quot_pos'#@#variant 'h4/thm/extreal/lte_add_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_0_l' 'h4/thm/HolSmt/r128_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_abs_IZR' 'h4/thm/complex/COMPLEX_OF_REAL_NEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_opp_l' 'h4/thm/HolSmt/r132_'#@#variant
0. 'coq/Coq_NArith_BinNat_Nmult_reg_r' 'h4/thm/real/REAL_EQ_RMUL_IMP_'#@#variant
0. 'coq/Coq_Init_Peano_pred_Sn' 'h4/thm/string/EXPLODE_IMPLODE_'#@#variant
0. 'coq/Coq_MMaps_MMapPositive_PositiveMap_lt_rev_append' 'h4/thm/real/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_nonneg_nonneg' 'h4/thm/integer/TINT_LT_MUL_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qmult_lt_r'#@#variant 'h4/thm/intExtension/INT_GT_RMUL_EXP_'#@#variant
0. 'coq/Coq_Arith_Mult_mult_is_O' 'h4/thm/extreal/add_not_infty_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_r' 'h4/thm/arithmetic/LESS_MONO_MULT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_irrefl' 'h4/thm/realax/TREAL_LT_REFL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div_1_r' 'h4/thm/integer/INT_ADD_REDUCE_1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_compare_succ' 'h4/thm/toto/numeralOrd_6'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_1' 'h4/thm/real/REAL_ABS_0_'
0. 'coq/Coq_Reals_Rbasic_fun_Rle_min_compat_r' 'h4/thm/arithmetic/LESS_MONO_MULT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_total' 'h4/thm/hreal/HREAL_LT_TOTAL_'
0. 'coq/Coq_Init_Peano_not_eq_S' 'h4/thm/num/INV_SUC_'
0. 'coq/Coq_Reals_RIneq_S_INR' 'h4/thm/real/REAL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_succ_l' 'h4/thm/complex/COMPLEX_NEG_LMUL_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qinv_lt_0_compat'#@#variant 'h4/thm/real/REAL_LE_INV_'#@#variant
0. 'coq/Coq_Reals_Ratan_Ropp_div' 'h4/thm/arithmetic/ADD_CLAUSES_2'
0. 'coq/Coq_NArith_BinNat_N_succ_inj_wd' 'h4/thm/complex/COMPLEX_EQ_NEG_'#@#variant
0. 'coq/Coq_ZArith_Znumtheory_prime_div_prime' 'h4/thm/divides/prime_divides_only_self_'
0. 'coq/Coq_Reals_Rbasic_fun_Rle_max_compat_l' 'h4/thm/integer/TINT_LT_ADD_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_succ' 'h4/thm/sptree/lrnext_thm_3'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_lt_cancel' 'h4/thm/arithmetic/LESS_MONO_REV_'
0. 'coq/Coq_NArith_BinNat_N_mul_nonneg_nonneg' 'h4/thm/binary_ieee/le2_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_lt_cancel' 'h4/thm/arithmetic/LESS_MONO_REV_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_1_l'#@#variant 'h4/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_Reals_Rtrigo_calc_deg_rad' 'h4/thm/numeral/DIV2_BIT1_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pos_pred_succ' 'h4/thm/binary_ieee/num2float_compare_float_compare2num_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_succ_l' 'h4/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_add_diag_r' 'h4/thm/extreal/le_max1_'
0. 'coq/Coq_NArith_BinNat_N_double_mul' 'h4/thm/complex/COMPLEX_NEG_LMUL_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_sin_lb_gt_0'#@#variant 'h4/thm/transc/COS_POS_PI2_LE_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_min_glb_lt_iff' 'h4/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_compare_lt_iff' 'h4/thm/quote/index_lt_def_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lcm_1_l' 'h4/thm/HolSmt/r128_'
0. 'coq/Coq_ZArith_BinInt_Z_sgn_opp' 'h4/thm/numeral/numeral_distrib_14'
0. 'coq/Coq_ZArith_BinInt_Z_mul_1_r' 'h4/thm/HolSmt/r214_'
0. 'coq/Coq_ZArith_BinInt_Z_divide_lcm_r' 'h4/thm/real/REAL_LE_MAX2_'
0. 'coq/Coq_NArith_BinNat_N_shiftr_div_pow2'#@#variant 'h4/thm/complex/complex_div_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rplus_lt_0_compat' 'h4/thm/arithmetic/LESS_MULT2_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_lt_mono_l' 'h4/thm/hreal/HRAT_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_eq_mul_0' 'h4/thm/intExtension/INT_NO_ZERODIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_inj_wd' 'h4/thm/numeral/numeral_eq_6'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_lt_mono_r' 'h4/thm/real/REAL_LE_SUB_CANCEL2_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_le_mono' 'h4/thm/real/REAL_POS_MONO_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_mod' 'h4/thm/integer/INT_MOD_PLUS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_ngt' 'h4/thm/real/REAL_NOT_LT_'
0. 'coq/Coq_Reals_Ratan_Ropp_div' 'h4/thm/arithmetic/PRE_SUB_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_opp_diag_r' 'h4/thm/rat/RAT_ADD_RINV_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_0_mul_prime'#@#variant 'h4/thm/arithmetic/ZERO_LESS_MULT_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rgt_irrefl' 'h4/thm/integer/INT_LT_REFL_'
0. 'coq/Coq_Reals_RIneq_Ropp_0_ge_le_contravar'#@#variant 'h4/thm/transc/EXP_LT_1_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_sub_succ' 'h4/thm/extreal/neg_mul2_'
0. 'coq/Coq_NArith_BinNat_N_div2_spec'#@#variant 'h4/thm/arithmetic/ADD1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div2_div'#@#variant 'h4/thm/arithmetic/PRE_SUB1_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_opp_diag_l' 'h4/thm/rat/RAT_ADD_LINV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ldiff_m1_l'#@#variant 'h4/thm/HolSmt/r128_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_lt_mono_r' 'h4/thm/rat/RAT_LES_RADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_0_iff' 'h4/thm/integer/INT_DIV_CALCULATE_3'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_lt_mono_r'#@#variant 'h4/thm/extreal/le_lmul_imp_'#@#variant
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_iff' 'h4/thm/integer/INT_REM_CALCULATE_3'
0. 'coq/Coq_ZArith_BinInt_Z_sub_move_0_r' 'h4/thm/arithmetic/ABS_DIFF_EQ_0_'
0. 'coq/Coq_NArith_BinNat_N_lcm_divide_iff' 'h4/thm/util_prob/MAX_LE_X_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_glb_lt_iff' 'h4/thm/arithmetic/MIN_LE_e1'
0. 'coq/Coq_PArith_BinPos_Pos_compare_succ_succ' 'h4/thm/toto/numeralOrd_6'
0. 'coq/Coq_NArith_BinNat_N_pred_succ' 'h4/thm/numeral_bit/NUMERAL_iDIV2_2'
0. 'coq/Coq_ZArith_BinInt_Z_rem_same' 'h4/thm/integer/INT_MOD_ID_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_gcd_eq_0' 'h4/thm/arithmetic/ADD_EQ_0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lxor_eq_0_iff' 'h4/thm/real/REAL_SUB_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_ge_le_iff' 'h4/thm/real/real_gt_'
0. 'coq/Coq_Init_Peano_le_pred' 'h4/thm/real/REAL_POS_MONO_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_pos_pos' 'h4/thm/realax/REAL_LT_MUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_sub' 'h4/thm/arithmetic/ADD_SUB_'
0. 'coq/Coq_NArith_BinNat_N_pow_add_r' 'h4/thm/transc/RPOW_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftl_1_l'#@#variant 'h4/thm/extreal/sub_lzero_'#@#variant
0. 'coq/Coq_ZArith_Znumtheory_rel_prime_1'#@#variant 'h4/thm/integer/INT_DIVIDES_1_0'#@#variant
0. 'coq/Coq_Arith_Factorial_fact_neq_0' 'h4/thm/quote/index_distinct_1'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div_mul' 'h4/thm/real/REAL_DIV_RMUL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_add_lt_sub_r' 'h4/thm/arithmetic/SUB_LEFT_LESS_'
0. 'coq/Coq_ZArith_BinInt_Z_nlt_ge' 'h4/thm/rat/RAT_LES_LEQ_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_of_Z' 'h4/thm/ieee/num2roundmode_roundmode2num_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_leb_le' 'h4/thm/quote/index_lt_def_'
0. 'coq/Coq_Reals_Rbasic_fun_Rmin_l' 'h4/thm/arithmetic/SUB_LESS_EQ_'
0. 'coq/Coq_QArith_Qcanon_Q_apart_0_1'#@#variant 'h4/thm/realax/REAL_10_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_succ_r' 'h4/thm/arithmetic/LE_e1'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_cancel_r' 'h4/thm/arithmetic/EQ_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_succ' 'h4/thm/numRing/num_rewrites_tLRLRRRRRR'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_cancel_l' 'h4/thm/hreal/HRAT_EQ_LMUL_'
0. 'coq/Coq_ZArith_BinInt_Z_rem_opp_l_prime' 'h4/thm/arithmetic/PRE_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_nonpos_nonneg'#@#variant 'h4/thm/integer/INT_NEG_LE0_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lt_irrefl' 'h4/thm/realax/TREAL_LT_REFL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_square_spec' 'h4/thm/numeral/iDUB_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pos_pred_succ' 'h4/thm/prelim/ordering_BIJ_0'
0. 'coq/Coq_Bool_Bool_eqb_reflx' 'h4/thm/real/REAL_SUB_REFL_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lt_nge' 'h4/thm/rat/RAT_LEQ_LES_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_nonneg' 'h4/thm/divides/ZERO_LT_PRIMES_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_move_r' 'h4/thm/rat/RAT_RSUB_EQ_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_le_iff' 'h4/thm/real/REAL_LE_MAX_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_pos_r'#@#variant 'h4/thm/intExtension/INT_GT_RMUL_EXP_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_double_spec'#@#variant 'h4/thm/extreal/inv_1over_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_le_sub_le_add_r' 'h4/thm/real/REAL_LE_SUB_RADD_'
0. 'coq/Coq_Numbers_Cyclic_DoubleCyclic_DoubleBase_wwB_wBwB'#@#variant 'h4/thm/hrat/HRAT_SUCINT_e1'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_le_mono_r' 'h4/thm/rat/RAT_LES_RADD_'
0. 'coq/Coq_ZArith_BinInt_Z_quot_1_r' 'h4/thm/rat/RAT_SUB_RID_'
0. 'coq/Coq_PArith_BinPos_Pos_add_lt_mono_r' 'h4/thm/integer/INT_LT_RADD_'
0. 'coq/Coq_Reals_RIneq_Rplus_le_lt_0_compat'#@#variant 'h4/thm/real/REAL_LET_ADD_'#@#variant
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_lt_not_gt' 'h4/thm/string/string_lt_antisym_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_neg_iff' 'h4/thm/real/REAL_INJ_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lor_diag' 'h4/thm/extreal/min_refl_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_neq_0_succ' 'h4/thm/num/ZERO_REP_DEF_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_irrefl' 'h4/thm/integer/TINT_LT_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_le_trans' 'h4/thm/rat/RAT_LES_LEQ_TRANS_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_lt_mono_l' 'h4/thm/arithmetic/LT_ADD_LCANCEL_'
0. 'coq/Coq_ZArith_Zpow_alt_Zpower_alt_0_r'#@#variant 'h4/thm/numeral/numeral_distrib_11'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_le_mono' 'h4/thm/integer/TINT_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_eq_mul_m1'#@#variant 'h4/thm/arithmetic/PRE_SUB1_'#@#variant
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_IsTO_le_lteq' 'h4/thm/extreal/le_lt_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_lt_mono_l' 'h4/thm/hreal/HRAT_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_setbit_spec_prime'#@#variant 'h4/thm/extreal/sub_rneg_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_nonneg_l'#@#variant 'h4/thm/logroot/ROOT_LE_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_succ_not_1' 'h4/thm/toto/num_dt_distinct_1'
0. 'coq/Coq_Reals_Rminmax_R_min_lt_iff' 'h4/thm/arithmetic/MIN_LT_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_pred' 'h4/thm/numeral/DIV2_BIT1_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_lt_mono_l' 'h4/thm/hreal/HRAT_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_pos_neg'#@#variant 'h4/thm/extreal/mul_lt_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_neq' 'h4/thm/real/REAL_LT_IMP_NE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_le_mono_r' 'h4/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_neg_xO'#@#variant 'h4/thm/extreal/extreal_sqrt_def_0'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_succ_lt_mono' 'h4/thm/arithmetic/LESS_EQ_MONO_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_1_l'#@#variant 'h4/thm/extreal/le_infty_tLL'
0. 'coq/Coq_QArith_Qminmax_Q_min_le_compat_l' 'h4/thm/extreal/le_ladd_imp_'
0. 'coq/Coq_Arith_PeanoNat_Nat_ones_equiv'#@#variant 'h4/thm/numRing/num_rewrites_tLRLRR'
0. 'coq/Coq_NArith_BinNat_N_div_1_r' 'h4/thm/HolSmt/r080_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_nonneg_r'#@#variant 'h4/thm/real/REAL_LT_RMUL_IMP_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_neq_0_succ' 'h4/thm/arithmetic/SUC_NOT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_0_discr' 'h4/thm/bit/TWOEXP_NOT_ZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_shuffle3' 'h4/thm/float/REAL_MUL_AC_e2'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_eq_le_incl' 'h4/thm/HolSmt/t006_'
0. 'coq/Coq_NArith_BinNat_N_lt_sub_lt_add_r' 'h4/thm/extreal/lt_sub_imp_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_le_incl' 'h4/thm/rat/RAT_LES_IMP_LEQ_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_pos_pos' 'h4/thm/arithmetic/LESS_MULT2_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_mul_below' 'h4/thm/real/REAL_SUB_ABS_'
0. 'coq/Coq_Sets_Uniset_seq_sym' 'h4/thm/Encode/biprefix_sym_'
0. 'coq/Coq_Reals_Raxioms_Rinv_l' 'h4/thm/real/REAL_MUL_LINV_'#@#variant
0. 'coq/Coq_NArith_Ndigits_Nless_def_2' 'h4/thm/toto/numeralOrd_5'
0. 'coq/Coq_NArith_BinNat_N_le_0_r' 'h4/thm/arithmetic/LESS_EQ_0_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_gcd_greatest' 'h4/thm/divides/DIVIDES_ADD_1_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_divide_refl' 'h4/thm/real/REAL_LE_REFL_'
0. 'coq/Coq_QArith_Qcanon_Q_apart_0_1'#@#variant 'h4/thm/ieee/roundmode_distinct_4'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_null_iff' 'h4/thm/real/ABS_ZERO_'#@#variant
0. 'coq/Coq_NArith_Ndigits_Nless_def_1' 'h4/thm/toto/numeralOrd_5'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_lt_mono_r_iff' 'h4/thm/real/REAL_LT_LMUL_'
0. 'coq/Coq_Reals_Rtrigo1_sin_ge_0'#@#variant 'h4/thm/transc/SIN_POS_PI2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_involutive' 'h4/thm/integerRing/int_calculate_12'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mod_1_r'#@#variant 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRL'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_lcm_divide_iff' 'h4/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_factor_l' 'h4/thm/real/REAL_LE_MAX1_'
0. 'coq/Coq_Arith_Even_even_mult_l' 'h4/thm/transc/RPOW_POS_LT_'#@#variant
0. 'coq/Coq_ZArith_Zpower_Zpower_pos_is_exp' 'h4/thm/integer/INT_EXP_ADD_EXPONENTS_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_pred_lt_succ' 'h4/thm/bit/TWOEXP_LE_IMP_LE_LOG2_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_shiftr' 'h4/thm/real/REAL_SUB_LNEG_'
0. 'coq/Coq_NArith_Nnat_Nat2N_id' 'h4/thm/ieee/float_tybij_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sub_min_distr_l' 'h4/thm/transc/RPOW_SUB_'
0. 'coq/Coq_ZArith_BinInt_Z_shiftr_opp_r' 'h4/thm/real/real_div_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_le_mono' 'h4/thm/divides/LT_PRIMES_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_le_compat_r' 'h4/thm/arithmetic/LESS_MONO_MULT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_eq_mul_0' 'h4/thm/real/REAL_ENTIRE_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_min_lt_iff' 'h4/thm/extreal/min_le_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_asymm' 'h4/thm/extreal/lt_antisym_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_le_mono_l' 'h4/thm/real/REAL_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_nonneg' 'h4/thm/prim_rec/LESS_0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_1_l'#@#variant 'h4/thm/extreal/sub_lzero_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_pos'#@#variant 'h4/thm/numeral/numeral_distrib_33'
0. 'coq/Coq_Reals_Rtrigo1_tan_neg' 'h4/thm/numeral/numeral_distrib_14'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_glb_iff' 'h4/thm/arithmetic/MIN_LE_e1'
0. 'coq/Coq_ZArith_BinInt_Z_min_glb' 'h4/thm/divides/DIVIDES_SUB_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_le_compat_l' 'h4/thm/integer/TINT_LT_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_shuffle3' 'h4/thm/HolSmt/r220_'
0. 'coq/Coq_Reals_Ratan_Alt_PI_eq' 'h4/thm/rat/rat_of_num_def_compute_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_lt_mono_r'#@#variant 'h4/thm/real/REAL_LE_LMUL_IMP_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_max_le_compat_r' 'h4/thm/arithmetic/LESS_MONO_ADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_lt_mono_pos_r'#@#variant 'h4/thm/real/REAL_LE_RMUL_'#@#variant
0. 'coq/Coq_MSets_MSetPositive_PositiveSet_E_bits_lt_antirefl' 'h4/thm/realax/HREAL_LT_REFL_'
0. 'coq/Coq_PArith_BinPos_Pos_max_lub_iff' 'h4/thm/arithmetic/MAX_LE_e1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_sub_le_add_r' 'h4/thm/rat/RAT_RSUB_LES_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_ngt' 'h4/thm/real/REAL_NOT_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mod_1_r'#@#variant 'h4/thm/integer/INT_MOD_1_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_max_l' 'h4/thm/hreal/HRAT_LT_ADDL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_le_mono' 'h4/thm/real/REAL_POS_MONO_'
0. 'coq/Coq_NArith_BinNat_N_pos_pred_succ' 'h4/thm/pred_set/pair_to_num_inv_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_lt_mono' 'h4/thm/numeral/numeral_lt_4'
0. 'coq/Coq_ZArith_BinInt_Z_lnot_nonneg'#@#variant 'h4/thm/real/REAL_NEG_GE0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftl_1_l'#@#variant 'h4/thm/util_prob/lg_def_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lxor_lnot_lnot' 'h4/thm/arithmetic/ABS_DIFF_ADD_SAME_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_land_diag' 'h4/thm/arithmetic/MIN_IDEM_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_le_compat_r' 'h4/thm/extreal/le_radd_imp_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftl_1_l'#@#variant 'h4/thm/integer/INT_SUB_REDUCE_1'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_irrefl' 'h4/thm/extreal/lt_refl_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_lt_mono_nonneg'#@#variant 'h4/thm/real/REAL_LT_MUL2_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_1' 'h4/thm/real/REAL_NEG_0_'
0. 'coq/Coq_NArith_BinNat_N_divide_factor_r' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_1'
0. 'coq/Coq_Reals_Rfunctions_Rlt_pow'#@#variant 'h4/thm/float/REAL_POW_MONO_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_gcd_assoc' 'h4/thm/hrat/TRAT_ADD_ASSOC_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_move_0_r' 'h4/thm/real/REAL_LNEG_UNIQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sub_le_mono_r' 'h4/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_1_l'#@#variant 'h4/thm/integer/INT_NEG_MINUS1_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_succ_lt_mono' 'h4/thm/integerRing/int_rewrites_tLRRRLRRRR'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_ge_cases' 'h4/thm/arithmetic/LESS_CASES_'
0. 'coq/Coq_PArith_BinPos_Pos_succ_lt_mono' 'h4/thm/numpair/tri_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lor_eq_0_iff' 'h4/thm/gcd/GCD_EQ_0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_setbit_spec_prime'#@#variant 'h4/thm/frac/frac_sub_def_'
0. 'coq/Coq_omega_OmegaLemmas_OMEGA2' 'h4/thm/arithmetic/LESS_MULT2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_pred_r' 'h4/thm/complex/COMPLEX_NEG_RDIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_lt_mono_r'#@#variant 'h4/thm/arithmetic/EXP_BASE_LEQ_MONO_IMP_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lnot_0_l' 'h4/thm/numeral/numeral_texp_help_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div_pos'#@#variant 'h4/thm/real/REAL_LTE_ADD_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ldiff_land' 'h4/thm/rat/RAT_DIV_MULMINV_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_sub_lt_add_r' 'h4/thm/extreal/le_sub_imp_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_neg_pos'#@#variant 'h4/thm/real/REAL_NEG_LT0_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_min_glb' 'h4/thm/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_sub_lt_add_r' 'h4/thm/extreal/lt_sub_imp_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_opp_norm' 'h4/thm/real/REAL_LE_INV_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_lt_cancel' 'h4/thm/arithmetic/LESS_MONO_REV_'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_one_neq_zero' 'h4/thm/toto/cpn_distinct_e2'
0. 'coq/Coq_ZArith_BinInt_Z_lt_sub_lt_add_r' 'h4/thm/integer/INT_LE_SUB_RADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_eq_1_l' 'h4/thm/transc/RPOW_NZ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_1_r' 'h4/thm/rat/RAT_SUB_RID_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_move_0_l' 'h4/thm/HolSmt/r076_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_lt_iff' 'h4/thm/util_prob/X_LE_MAX_'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_succ' 'h4/thm/extreal/extreal_ainv_def_e2'
0. 'coq/Coq_ZArith_Znat_Zabs2N_id' 'h4/thm/extreal/real_normal_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gt_lt_iff' 'h4/thm/arithmetic/GREATER_DEF_'
0. 'coq/Coq_Lists_List_Forall_impl' 'h4/thm/llist/MONO_every_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_lcm_l' 'h4/thm/real/REAL_LE_MAX1_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div_str_pos' 'h4/thm/bit/DIV_GT0_'
0. 'coq/Coq_Arith_PeanoNat_Nat_neq_0_succ' 'h4/thm/toto/num_dt_distinct_0'
0. 'coq/Coq_ZArith_BinInt_Z_gcd_diag' 'h4/thm/HolSmt/r216_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_le_mono' 'h4/thm/divides/LT_PRIMES_'
0. 'coq/Coq_Arith_PeanoNat_Nat_setbit_spec_prime'#@#variant 'h4/thm/extreal/sub_rneg_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_testbit_even_0'#@#variant 'h4/thm/toto/qk_numeralOrd_3'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_double_size_level' 'h4/thm/extreal/extreal_exp_def_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_add_r'#@#variant 'h4/thm/util_prob/logr_mul_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_lt_mono_neg_l' 'h4/thm/rat/RAT_LES_LMUL_NEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_1' 'h4/thm/integer/INT_NEG_0_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_le_compat_r' 'h4/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_pred' 'h4/thm/numeral_bit/numeral_ilog2_1'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_sqrt' 'h4/thm/extreal/extreal_sqrt_def_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_eq_0_r' 'h4/thm/extreal/add_not_infty_e1'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_0_r'#@#variant 'h4/thm/arithmetic/MOD_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_nonneg' 'h4/thm/transc/ATN_BOUNDS_0'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_div_1_r' 'h4/thm/HolSmt/r214_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_clearbit_spec_prime'#@#variant 'h4/thm/complex/complex_sub_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_refl' 'h4/thm/realax/TREAL_EQ_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_wf_0' 'h4/thm/nets/DORDER_NGE_'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_le_mono' 'h4/thm/integer/TINT_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_null'#@#variant 'h4/thm/intExtension/INT_SGN_CLAUSES_e2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_lt_mono_l' 'h4/thm/rat/RAT_LES_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_nlt_ge' 'h4/thm/arithmetic/NOT_LESS_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_square_spec' 'h4/thm/numeral/iDUB_'
0. 'coq/Coq_ZArith_BinInt_Z_lcm_divide_iff' 'h4/thm/util_prob/MAX_LE_X_'
0. 'coq/Coq_Reals_Rtrigo_calc_Rgt_3PI2_0'#@#variant 'h4/thm/util_prob/HALF_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_lt_mono_r' 'h4/thm/rat/RAT_LES_RADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_succ_le_mono' 'h4/thm/numeral/numeral_distrib_22'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_testbit' 'h4/thm/toto/qk_numOrd_def_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_l' 'h4/thm/real/REAL_MAX_ALT_e1'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_le_compat_l' 'h4/thm/realax/TREAL_LT_ADD_'#@#variant
0. 'coq/Coq_Structures_OrderedTypeEx_PositiveOrderedTypeBits_bits_lt_antirefl' 'h4/thm/realax/TREAL_LT_REFL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_1_r' 'h4/thm/HolSmt/r214_'
0. 'coq/Coq_Arith_PeanoNat_Nat_succ_inj_wd' 'h4/thm/numeral/numeral_eq_e7'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_empty_1' 'h4/thm/lbtree/finite_rules_0'
0. 'coq/Coq_ZArith_Znat_Nat2Z_id' 'h4/thm/ieee/num2roundmode_roundmode2num_'
0. 'coq/Coq_QArith_QOrderedType_QOrder_lt_irrefl' 'h4/thm/integer/INT_LT_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_lt_mono_r'#@#variant 'h4/thm/arithmetic/EXP_BASE_LEQ_MONO_IMP_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sgn_opp' 'h4/thm/complex/CONJ_NEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ge_le_iff' 'h4/thm/rat/rat_gre_def_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_succ' 'h4/thm/extreal/extreal_sqrt_def_0'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_le_compat_l' 'h4/thm/realax/TREAL_LT_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_1_l' 'h4/thm/HolSmt/r233_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_succ_not_1' 'h4/thm/toto/num_dt_distinct_1'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_irrefl' 'h4/thm/rat/RAT_LES_REF_'
0. 'coq/Coq_Reals_Rpower_ln_Rinv'#@#variant 'h4/thm/util_prob/lg_inv_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_le_min_r' 'h4/thm/extreal/min_le2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_sgn' 'h4/thm/integer/INT_ABS_ABS_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_le_mono' 'h4/thm/hrat/TRAT_INV_WELLDEFINED_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_le_compat_r' 'h4/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_ZArith_Zdiv_mod_Zmod' 'h4/thm/integer/INT_REM_'
0. 'coq/__constr_Coq_Lists_List_NoDup_0_1' 'h4/thm/llist/LFINITE_rules_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_involutive' 'h4/thm/complex/COMPLEX_NEGNEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_rem_le'#@#variant 'h4/thm/arithmetic/DIV_LESS_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_min_distr_l' 'h4/thm/transc/RPOW_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_0_l' 'h4/thm/arithmetic/ZERO_MOD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_id' 'h4/thm/extreal/max_refl_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_succ_diag_r' 'h4/thm/bit/BIT_B_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_comm' 'h4/thm/hrat/TRAT_ADD_SYM_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_glb_lt_iff' 'h4/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_NArith_BinNat_N_min_le_compat_r' 'h4/thm/hrat/TRAT_MUL_WELLDEFINED_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qmult_le_r'#@#variant 'h4/thm/logroot/EXP_LE_ISO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_testbit_even_0'#@#variant 'h4/thm/toto/num_dtOrd_3'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_le_compat_r' 'h4/thm/hrat/TRAT_MUL_WELLDEFINED_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_divide_mono_l' 'h4/thm/integer/TINT_LT_ADD_'#@#variant
0. 'coq/Coq_PArith_Pnat_SuccNat2Pos_inj_iff' 'h4/thm/integerRing/int_rewrites_tLRRRRRRRRL'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_neq_1_0' 'h4/thm/realax/TREAL_10_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_le_lin'#@#variant 'h4/thm/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_le_mono_l' 'h4/thm/integer/TINT_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_opp_sub_distr' 'h4/thm/complex/COMPLEX_SUB_LNEG_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_iff' 'h4/thm/real/REAL_INJ_'
0. 'coq/Coq_ZArith_BinInt_Z_eq_mul_0_r' 'h4/thm/extreal/add_not_infty_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_nlt_0_r' 'h4/thm/extreal/lt_infty_3'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_0_iff' 'h4/thm/numpair/tri_eq_0_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ldiff_m1_l'#@#variant 'h4/thm/numeral/numeral_texp_help_0'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_pow_succ_r' 'h4/thm/arithmetic/MULT_CLAUSES_e5'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_opp_r' 'h4/thm/extreal/sub_rneg_'
0. 'coq/Coq_ZArith_BinInt_Z_shiftl_opp_r' 'h4/thm/integer/int_sub_'
0. 'coq/Coq_ZArith_Zquot_Zquot_Zquot' 'h4/thm/logroot/EXP_MUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_opp' 'h4/thm/numeral/numeral_add_12'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_double_inj' 'h4/thm/divides/PRIMES_11_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_double'#@#variant 'h4/thm/util_prob/lg_inv_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_succ_lt_mono' 'h4/thm/integerRing/int_rewrites_tLRRRRLRRR'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_succ_r' 'h4/thm/complex/COMPLEX_NEG_RMUL_'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_le_lt_int' 'h4/thm/float/LT_SUC_LE_'
0. 'coq/Coq_NArith_BinNat_N_pow_le_mono_l_iff' 'h4/thm/int_arith/INT_DIVIDES_LRMUL_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rge_refl' 'h4/thm/divides/DIVIDES_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_min_l' 'h4/thm/arithmetic/SUB_LESS_EQ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_0_l' 'h4/thm/util_prob/lg_def_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_nle' 'h4/thm/arithmetic/NOT_LESS_'
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_divide_r' 'h4/thm/real/REAL_MIN_LE2_'
0. 'coq/Coq_Reals_Raxioms_R1_neq_R0' 'h4/thm/binary_ieee/float_compare_distinct_0'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_id' 'h4/thm/extreal/max_refl_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_lt_mono_r' 'h4/thm/arithmetic/LT_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_mul_r' 'h4/thm/arithmetic/DIV_DIV_DIV_MULT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_succ_diag_r' 'h4/thm/bit/BIT_B_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_le_mono' 'h4/thm/integerRing/int_rewrites_tLRRRLRRRR'
0. 'coq/Coq_ZArith_Znat_Zabs2Nat_inj_lt'#@#variant 'h4/thm/float/FLOAT_GT_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_r' 'h4/thm/real/REAL_MIN_ALT_e1'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_le_mono_r' 'h4/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_QArith_Qreals_Q2R_opp' 'h4/thm/toto/num_dt_size_def_1'#@#variant
0. 'coq/Coq_Bool_Bool_diff_false_true' 'h4/thm/float/not2eqz_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_nonzero' 'h4/thm/transc/RPOW_NZ_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lcm_1_l' 'h4/thm/integer/INT_ADD_CALCULATE_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_neq_0_succ' 'h4/thm/num/NOT_SUC_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_pred_r' 'h4/thm/real/REAL_MUL_RNEG_'
0. 'coq/Coq_Arith_PeanoNat_Nat_min_le_compat_l' 'h4/thm/real/REAL_LT_IADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_1_l' 'h4/thm/HolSmt/r128_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_succ_r' 'h4/thm/extreal/mul_rneg_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_lt_iff' 'h4/thm/extreal/le_max_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_cancel_l' 'h4/thm/rat/RAT_EQ_LMUL_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zsucc_lt_compat' 'h4/thm/divides/LT_PRIMES_'
0. 'coq/Coq_QArith_Qcanon_Qcnot_lt_le' 'h4/thm/real/REAL_LET_TOTAL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_irrefl' 'h4/thm/realax/TREAL_LT_REFL_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_nonneg_pos'#@#variant 'h4/thm/extreal/lte_mul_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_add_succ_l' 'h4/thm/extreal/mul_lneg_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_int31_specs' 'h4/thm/numRing/num_semi_ring_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_divide/0' 'h4/thm/arithmetic/SUB_LESS_EQ_'
0. 'coq/Coq_ZArith_BinInt_Z_opp_inj_wd' 'h4/thm/transc/EXP_INJ_'
0. 'coq/Coq_NArith_BinNat_N_add_lt_mono_r' 'h4/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_eq_cases' 'h4/thm/arithmetic/GREATER_OR_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_leb_le' 'h4/thm/quote/index_lt_def_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pred_le_mono' 'h4/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_sub_le_add_r' 'h4/thm/arithmetic/SUB_LEFT_GREATER_EQ_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_double'#@#variant 'h4/thm/util_prob/neg_lg_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_le_mono' 'h4/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Reals_RIneq_opp_IZR' 'h4/thm/extreal/extreal_inv_def_e2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_succ_l' 'h4/thm/arithmetic/PRE_SUB_'
0. 'coq/Coq_ZArith_Zorder_Zle_not_lt' 'h4/thm/arithmetic/LESS_EQ_ANTISYM_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_null_iff' 'h4/thm/integer/INT_ABS_EQ0_'#@#variant
0. 'coq/Coq_Arith_Plus_plus_le_compat_l' 'h4/thm/integer/INT_LT_LADD_IMP_'
0. 'coq/Coq_Reals_RIneq_Ropp_div' 'h4/thm/arithmetic/ADD_CLAUSES_2'
0. 'coq/Coq_Bool_Bool_diff_false_true' 'h4/thm/binary_ieee/rounding_distinct_e5'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_iff' 'h4/thm/string/CHAR_EQ_THM_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_move_r' 'h4/thm/real/REAL_EQ_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_opp' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_le_mono_r_iff'#@#variant 'h4/thm/logroot/LE_EXP_ISO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_ge_le_iff' 'h4/thm/integer/INT_GE_CALCULATE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_nlt_ge' 'h4/thm/integer/INT_NOT_LE_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_log2' 'h4/thm/DeepSyntax/deep_form_size_def_2'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_lt_mono_l' 'h4/thm/real/REAL_LE_LADD_'
0. 'coq/Coq_ZArith_BinInt_Z_lnot_lxor_l' 'h4/thm/rat/RAT_AINV_LMUL_'
0. 'coq/Coq_QArith_Qreals_Q2R_opp' 'h4/thm/quote/index_size_def_1'#@#variant
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_phi' 'h4/thm/ieee/num2roundmode_roundmode2num_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_diag' 'h4/thm/arithmetic/MIN_IDEM_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lxor_lnot_lnot' 'h4/thm/real/REAL_NEG_MUL2_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_lt' 'h4/thm/integer/INT_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_1' 'h4/thm/integer/INT_ADD_REDUCE_2'
0. 'coq/Coq_ZArith_BinInt_Zmult_succ_l_reverse' 'h4/thm/arithmetic/MULT_e1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_le_compat_r' 'h4/thm/extreal/le_radd_imp_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_refl' 'h4/thm/arithmetic/LESS_EQ_REFL_'
0. 'coq/Coq_PArith_BinPos_Pos_succ_lt_mono' 'h4/thm/numeral/numeral_lt_3'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_quot_lt'#@#variant 'h4/thm/arithmetic/DIV_LESS_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lxor_m1_r'#@#variant 'h4/thm/arithmetic/DIV2_def_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_factor_l' 'h4/thm/hreal/HRAT_LT_ADDL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pos_pred_succ' 'h4/thm/string/char_BIJ_0'
0. 'coq/Coq_Reals_RIneq_Rplus_0_r_uniq' 'h4/thm/arithmetic/ADD_INV_0_'
0. 'coq/Coq_Reals_Rtrigo_calc_sqrt2_neq_0'#@#variant 'h4/thm/toto/all_cpn_distinct_1'
0. 'coq/Coq_NArith_Ndist_ni_le_total' 'h4/thm/extreal/le_total_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftl_1_l'#@#variant 'h4/thm/HolSmt/r128_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_1_l'#@#variant 'h4/thm/util_prob/lg_def_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qmult_lt_l'#@#variant 'h4/thm/integer/INT_LT_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_add_r' 'h4/thm/integer/INT_DIVIDES_MUL_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_le_compat_l' 'h4/thm/real/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Bool_Bool_xorb_true_r' 'h4/thm/arithmetic/DIV2_def_'#@#variant
0. 'coq/Coq_Reals_RIneq_Ropp_div' 'h4/thm/arithmetic/PRE_SUB_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_pred_succ' 'h4/thm/numeral/DIV2_BIT1_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_opp_r' 'h4/thm/complex/complex_sub_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_le_mono' 'h4/thm/numeral/numeral_lte_3'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_divide_mono_r' 'h4/thm/hrat/TRAT_MUL_WELLDEFINED_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_eq_cases' 'h4/thm/real/REAL_LE_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div2_double' 'h4/thm/bit/LOG2_TWOEXP_'#@#variant
0. 'coq/Coq_FSets_FSetPositive_PositiveSet_eq_refl' 'h4/thm/rat/RAT_LEQ_REF_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_l' 'h4/thm/integer/INT_LT_LADD_IMP_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_Odd_succ' 'h4/thm/binary_ieee/exp_gt2_'#@#variant
0. 'coq/Coq_ZArith_Znat_Zabs2Nat_id' 'h4/thm/frac/frac_bij_0'#@#variant
0. 'coq/Coq_ZArith_Znat_positive_nat_Z' 'h4/thm/rat/RAT_SGN_CALCULATE_'
0. 'coq/Coq_PArith_BinPos_Pos_add_succ_r' 'h4/thm/real/REAL_MUL_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_lt_mono' 'h4/thm/integer/INT_LT_NEG_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_le_mono_r' 'h4/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_1_r' 'h4/thm/HolSmt/r080_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_id' 'h4/thm/gcd/GCD_REF_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_succ_l' 'h4/thm/complex/COMPLEX_MUL_LNEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_irrefl' 'h4/thm/rat/RAT_LES_REF_'
0. 'coq/Coq_NArith_BinNat_N_pos_pred_spec' 'h4/thm/integerRing/int_ring_thms_e17'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_lt_mono_r' 'h4/thm/rat/RAT_LES_RADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_even' 'h4/thm/realax/hreal_of_real_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_land_diag' 'h4/thm/real/REAL_MAX_REFL_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_divide_lcm_r' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_1'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_eqb_eq' 'h4/thm/quote/compare_index_equal_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_le_mono_l' 'h4/thm/real/REAL_LT_LADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_0_mul_prime'#@#variant 'h4/thm/arithmetic/ZERO_LESS_MULT_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_divide_factor_l' 'h4/thm/arithmetic/LESS_EQ_ADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_neq_0_succ' 'h4/thm/bit/TWOEXP_NOT_ZERO_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_compare' 'h4/thm/intto/pos_pos_thm_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pred_le_mono' 'h4/thm/bit/TWOEXP_MONO2_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ge_le_iff' 'h4/thm/integer/int_gt_'
0. 'coq/Coq_PArith_BinPos_Pos_lt_irrefl' 'h4/thm/hreal/HRAT_LT_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_le_mono_r' 'h4/thm/arithmetic/LESS_MONO_ADD_EQ_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_le_mono' 'h4/thm/hrat/TRAT_INV_WELLDEFINED_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_succ_l' 'h4/thm/integer/INT_NEG_LMUL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_nge' 'h4/thm/rat/RAT_LES_LEQ_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_clearbit_spec_prime'#@#variant 'h4/thm/complex/complex_div_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mod_mul' 'h4/thm/integer/INT_MOD_COMMON_FACTOR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_eq_0_r' 'h4/thm/intExtension/INT_NOT0_MUL_'#@#variant
0. 'coq/Coq_ZArith_Zdiv_Zmod_small'#@#variant 'h4/thm/integer/INT_LESS_MOD_'#@#variant
0. 'coq/Coq_Reals_R_Ifp_base_fp/1' 'h4/thm/transc/COS_BOUNDS_e1'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_neg_pos'#@#variant 'h4/thm/integer/INT_NEG_LT0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_pos_nonneg'#@#variant 'h4/thm/arithmetic/ONE_LT_MULT_IMP_'#@#variant
0. 'coq/Coq_QArith_Qcanon_Q_apart_0_1'#@#variant 'h4/thm/rat/RAT_1_NOT_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_glb_iff' 'h4/thm/arithmetic/MIN_LE_e1'
0. 'coq/Coq_Reals_R_Ifp_base_fp/0' 'h4/thm/transc/COS_BOUNDS_e1'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_cancel_r' 'h4/thm/rat/RAT_EQ_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_inj_wd' 'h4/thm/numeral/numeral_eq_6'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_0_iff' 'h4/thm/integer/INT_MOD_CALCULATE_e4'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_gt_lt_iff' 'h4/thm/real/real_ge_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_succ_le_mono' 'h4/thm/transc/EXP_MONO_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_1_r' 'h4/thm/integer/INT_ADD_REDUCE_1'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_gcd_greatest' 'h4/thm/divides/DIVIDES_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_opp_r' 'h4/thm/extreal/extreal_sub_add_'
0. 'coq/Coq_PArith_BinPos_Pos_pred_of_succ_nat' 'h4/thm/integerRing/int_ring_thms_e17'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div_1_r' 'h4/thm/HolSmt/r214_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_stepr' 'h4/thm/real/REAL_LTE_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_succ_pred_double' 'h4/thm/numeral/numeral_suc_1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_le_mono' 'h4/thm/hrat/TRAT_INV_WELLDEFINED_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_le_antisymm' 'h4/thm/divides/DIVIDES_ANTISYM_'
0. 'coq/Coq_NArith_BinNat_N_max_le_iff' 'h4/thm/extreal/le_max_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_l' 'h4/thm/integer/INT_LT_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_opp_l' 'h4/thm/rat/RAT_AINV_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_nge' 'h4/thm/integer/INT_NOT_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_ldiff_ldiff_l' 'h4/thm/arithmetic/EXP_EXP_MULT_'
0. 'coq/Coq_QArith_QArith_base_Qmult_assoc' 'h4/thm/hrat/TRAT_ADD_ASSOC_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_le_compat_r' 'h4/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_add_succ_l' 'h4/thm/arithmetic/ADD_CLAUSES_2'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_lteq' 'h4/thm/integer/INT_LE_LT_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_le' 'h4/thm/integer/INT_LE_'
0. 'coq/Coq_PArith_BinPos_Pos_max_id' 'h4/thm/arithmetic/MAX_IDEM_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lnot_0_l' 'h4/thm/util_prob/lg_def_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_0_l' 'h4/thm/rat/RAT_SUB_LID_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_succ_le_mono' 'h4/thm/numpair/tri_LT_'
0. 'coq/Coq_ZArith_BinInt_Z_ldiff_diag' 'h4/thm/integer/INT_SUB_REFL_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_succ_le_mono' 'h4/thm/integerRing/int_rewrites_tLRRRRLRRR'
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_le_mono' 'h4/thm/real/REAL_POS_MONO_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pred_succ' 'h4/thm/numeral_bit/NUMERAL_iDIV2_2'
0. 'coq/Coq_ZArith_Znat_positive_nat_N' 'h4/thm/rat/RAT_SGN_CALCULATE_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pow_lt_mono_r_iff'#@#variant 'h4/thm/logroot/LT_EXP_ISO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_lt_mono_r' 'h4/thm/arithmetic/LESS_EQ_MONO_ADD_EQ_'
0. 'coq/Coq_ZArith_BinInt_Z_divide_sub_r' 'h4/thm/divides/DIVIDES_ADD_1_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_ngt' 'h4/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_ZArith_BinInt_Zpos_eq_iff' 'h4/thm/toto/cpn2num_11_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_log2' 'h4/thm/extreal/extreal_inv_def_e2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_neg'#@#variant 'h4/thm/real/REAL_NEG_LE0_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_lt_mono_r_iff'#@#variant 'h4/thm/real/REAL_LE_LMUL_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_le_mono' 'h4/thm/divides/LT_PRIMES_'
0. 'coq/Coq_Arith_EqNat_eq_eq_nat' 'h4/thm/realax/TREAL_EQ_AP_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_shiftr' 'h4/thm/real/REAL_SUB_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_shiftr' 'h4/thm/real/REAL_SUB_LNEG_'
0. 'coq/Coq_Arith_PeanoNat_Nat_min_le_compat_r' 'h4/thm/arithmetic/LESS_MONO_MULT_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_is_pos' 'h4/thm/realax/REAL_POS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftl_mul_pow2'#@#variant 'h4/thm/real/REAL_SUB_RNEG_'
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_add_cancel_r' 'h4/thm/poly/POLY_DIVIDES_SUB_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_le_mono_r' 'h4/thm/real/REAL_LE_SUB_CANCEL2_'
0. 'coq/Coq_QArith_Qcanon_Q_apart_0_1'#@#variant 'h4/thm/extreal/extreal_distinct_0'
0. 'coq/Coq_Reals_Rfunctions_R_dist_eq' 'h4/thm/rat/RAT_SUB_ID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pos_pred_succ' 'h4/thm/prelim/num2ordering_ordering2num_'
0. 'coq/Coq_ZArith_BinInt_Z_gt_lt_iff' 'h4/thm/HolSmt/r103_'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_one_neq_zero' 'h4/thm/toto/all_cpn_distinct_e3'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_null'#@#variant 'h4/thm/intExtension/INT_SGN_CLAUSES_0'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_min_le_iff' 'h4/thm/real/REAL_MIN_LE_'
0. 'coq/Coq_PArith_BinPos_Pos_add_sub_assoc' 'h4/thm/arithmetic/LESS_EQ_ADD_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mod_mul' 'h4/thm/integer/INT_MOD_COMMON_FACTOR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pred_div2_up' 'h4/thm/rat/RAT_AINV_CALCULATE_'
0. 'coq/Coq_Bool_Bool_negb_involutive' 'h4/thm/complex/COMPLEX_NEGNEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_glb_iff' 'h4/thm/arithmetic/MIN_LE_e1'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_nlt_ge' 'h4/thm/integer/int_le_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_setbit_spec_prime'#@#variant 'h4/thm/frac/frac_sub_def_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_setbit_spec_prime'#@#variant 'h4/thm/complex/complex_sub_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_ones_equiv'#@#variant 'h4/thm/numeral_bit/NUMERAL_iDIV2_4'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_lt_mono' 'h4/thm/numeral/numeral_lte_3'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_eq_mul_0_r' 'h4/thm/intExtension/INT_NOT0_MUL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_lt_mono_pos_l'#@#variant 'h4/thm/transc/RPOW_LE_'#@#variant
0. 'coq/Coq_QArith_Qabs_Qabs_Qle_condition' 'h4/thm/extreal/abs_bounds_lt_'
0. 'coq/Coq_Reals_RIneq_S_INR' 'h4/thm/real/REAL_OF_NUM_SUC_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_inj_wd' 'h4/thm/complex/COMPLEX_EQ_NEG_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_add_le_sub_r' 'h4/thm/real/REAL_LT_SUB_RADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_pos'#@#variant 'h4/thm/complex/MODU_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_compare_xO_xO' 'h4/thm/toto/qk_numeralOrd_6'
0. 'coq/Coq_ZArith_BinInt_Z_le_add_le_sub_r' 'h4/thm/integer/INT_LE_SUB_LADD_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_lt' 'h4/thm/integer/INT_LT_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_compare_succ_succ' 'h4/thm/toto/num_dtOrd_7'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div_le_mono'#@#variant 'h4/thm/extreal/le_rmul_imp_'#@#variant
0. 'coq/Coq_FSets_FSetPositive_PositiveSet_eq_refl' 'h4/thm/realax/TREAL_EQ_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_pow' 'h4/thm/arithmetic/ADD_CLAUSES_2'
0. 'coq/__constr_Coq_Relations_Relation_Operators_Desc_0_2' 'h4/thm/sorting/SORTED_SING_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_sub_r' 'h4/thm/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_setbit_spec_prime'#@#variant 'h4/thm/integer/INT_SUB_CALCULATE_'
0. 'coq/Coq_ZArith_BinInt_Z_lxor_m1_l'#@#variant 'h4/thm/numeral/numeral_texp_help_0'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_digits/0'#@#variant 'h4/thm/real/REAL_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_succ_l' 'h4/thm/arithmetic/ADD_CLAUSES_2'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_null'#@#variant 'h4/thm/intExtension/INT_SGN_CLAUSES_e2'#@#variant
0. 'coq/Coq_Reals_Ratan_Datan_seq_pos'#@#variant 'h4/thm/extreal/pow_pos_lt_'#@#variant
0. 'coq/Coq_ZArith_Znat_Z2N_inj_quot2' 'h4/thm/toto/num_dt_size_def_e2'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_rem_opp_l_prime' 'h4/thm/frac/FRAC_AINV_LMUL_'
0. 'coq/Coq_PArith_BinPos_Pos_lt_irrefl' 'h4/thm/prim_rec/LESS_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_add_diag_r' 'h4/thm/gcd/GCD_ADD_R_THM_e1'
0. 'coq/Coq_ZArith_Zdiv_Zmod_1_r'#@#variant 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRL'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_neq' 'h4/thm/prim_rec/NOT_LESS_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_ngt' 'h4/thm/arithmetic/NOT_LESS_EQUAL_'
0. 'coq/Coq_PArith_BinPos_Pos_lt_nle' 'h4/thm/arithmetic/NOT_LESS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_ge_cases' 'h4/thm/arithmetic/LESS_CASES_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_id' 'h4/thm/real/REAL_MAX_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_1_r' 'h4/thm/integer/INT_SUB_RZERO_'
0. 'coq/Coq_QArith_Qcanon_Q_apart_0_1'#@#variant 'h4/thm/float/not2eqz_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_le_mono_r' 'h4/thm/arithmetic/LT_ADD_RCANCEL_'
0. 'coq/Coq_PArith_BinPos_Pos_succ_lt_mono' 'h4/thm/arithmetic/LESS_EQ_MONO_'
0. 'coq/Coq_NArith_BinNat_N_gt_lt_iff' 'h4/thm/pred_set/COUNT_applied_'
0. 'coq/Coq_QArith_Qminmax_Q_max_lub_iff' 'h4/thm/arithmetic/MAX_LT_e1'
0. 'coq/Coq_PArith_BinPos_Pos_succ_le_mono' 'h4/thm/arithmetic/LESS_MONO_EQ_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_sub_le_add_r' 'h4/thm/real/REAL_LE_SUB_LADD_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_log2_2' 'h4/thm/real/REAL_THIRDS_BETWEEN_tRRRL'#@#variant
0. 'coq/Coq_NArith_BinNat_N_le_0_r' 'h4/thm/extreal/le_infty_1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_pos_cancel_r'#@#variant 'h4/thm/real/REAL_LT_RMUL_0_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_le_lteq' 'h4/thm/real/REAL_LE_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ldiff_m1_l'#@#variant 'h4/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_Bool_Bool_diff_false_true' 'h4/thm/prelim/ordering_distinct_e2'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_lt' 'h4/thm/integer/int_lt_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_le_0_2' 'h4/thm/extreal/lt_infty_2'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_succ_lt_mono' 'h4/thm/numeral/numeral_distrib_28'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_le_compat_l' 'h4/thm/integer/INT_LT_LADD_IMP_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_log2_1' 'h4/thm/real/REAL_THIRDS_BETWEEN_tRRRL'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_lt_mono_r' 'h4/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_divide_xO_xO' 'h4/thm/arithmetic/LESS_MONO_EQ_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_le_mono' 'h4/thm/transc/EXP_MONO_IMP_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_le_0_1' 'h4/thm/extreal/lt_infty_2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lor_lnot_diag'#@#variant 'h4/thm/rat/RAT_ADD_RINV_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_sub_l' 'h4/thm/arithmetic/SUB_LESS_EQ_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_log2' 'h4/thm/extreal/extreal_abs_def_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_lt_mono_r'#@#variant 'h4/thm/extreal/le_lmul_imp_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_1_l'#@#variant 'h4/thm/integer/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_lcm_l' 'h4/thm/real/REAL_LE_MAX1_'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_one_neq_zero' 'h4/thm/ieee/roundmode_distinct_0'
0. 'coq/Coq_ZArith_Zeven_Zodd_not_Zeven' 'h4/thm/float/FLOAT_DISTINCT_FINITE_1'
0. 'coq/Coq_PArith_BinPos_Pos_add_le_mono_l' 'h4/thm/rat/RAT_LES_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mod_1_r'#@#variant 'h4/thm/arithmetic/EXP_0'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_neg_iff' 'h4/thm/string/CHAR_EQ_THM_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_gt_lt_iff' 'h4/thm/HolSmt/r103_'
0. 'coq/Coq_PArith_BinPos_Pos_lt_not_add_l' 'h4/thm/hrat/TRAT_NOZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lor_eq_0_l' 'h4/thm/transc/RPOW_NZ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_sub_add' 'h4/thm/arithmetic/SUB_ADD_'
0. 'coq/Coq_ZArith_BinInt_Z_pred_inj' 'h4/thm/divides/PRIMES_11_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_glb' 'h4/thm/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mod_1_r'#@#variant 'h4/thm/numeral/numeral_distrib_11'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Ropp_Rmax' 'h4/thm/transc/EXP_SUB_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lcm_comm' 'h4/thm/hrat/TRAT_ADD_SYM_'#@#variant
0. 'coq/Coq_Init_Peano_plus_Sn_m' 'h4/thm/frac/FRAC_AINV_LMUL_'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_minus_one_neq_zero'#@#variant 'h4/thm/binary_ieee/rounding_distinct_2'
0. 'coq/Coq_NArith_BinNat_N_mul_divide_mono_r' 'h4/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_lnot_diag'#@#variant 'h4/thm/integer/INT_ADD_RINV_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Zsucc_pred' 'h4/thm/numeral/DIV2_BIT1_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_1' 'h4/thm/intExtension/INT_ABS_CALCULATE_0_'
0. 'coq/Coq_ZArith_BinInt_Z_quot_mul' 'h4/thm/integer/INT_DIV_RMUL_'#@#variant
0. 'coq/Coq_Reals_Exp_prop_div2_double'#@#variant 'h4/thm/numeral/numeral_add_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_divide_xO_xO' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_sgn' 'h4/thm/real/ABS_ABS_'
0. 'coq/Coq_NArith_BinNat_N_divide_lcm_l' 'h4/thm/arithmetic/LESS_EQ_ADD_'
0. 'coq/Coq_QArith_QOrderedType_QOrder_not_ge_lt' 'h4/thm/arithmetic/LESS_CASES_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_glb' 'h4/thm/divides/DIVIDES_ADD_1_'
0. 'coq/Coq_ZArith_BinInt_Z_pred_inj_wd' 'h4/thm/complex/COMPLEX_INV_INJ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mod_1_r'#@#variant 'h4/thm/util_prob/logr_1_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_1_l' 'h4/thm/rat/RAT_MUL_LZERO_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_nonneg' 'h4/thm/transc/ATN_BOUNDS_0'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qle_not_lt' 'h4/thm/real/REAL_LET_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_quot_str_pos'#@#variant 'h4/thm/bit/DIV_GT0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_refl' 'h4/thm/real/REAL_LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_max_l' 'h4/thm/arithmetic/LESS_EQ_ADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_min_r' 'h4/thm/real/REAL_MIN_LE2_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_le_iff' 'h4/thm/real/REAL_LE_MAX_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_leb_le' 'h4/thm/quote/index_lt_def_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_not_add_l' 'h4/thm/integer/LT_ADDR_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_lt_mono_pos_r'#@#variant 'h4/thm/logroot/EXP_LE_ISO_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lt_lt_add_r' 'h4/thm/arithmetic/LESS_IMP_LESS_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lnot_ones' 'h4/thm/bit/SUC_SUB_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_lt_mono_neg_r' 'h4/thm/rat/RAT_LES_RMUL_NEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lcm_diag' 'h4/thm/extreal/min_refl_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_eq_le_incl' 'h4/thm/HolSmt/t007_'
0. 'coq/Coq_Reals_Ratan_Alt_PI_eq' 'h4/thm/integerRing/int_rewrites_2'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lcm_1_r' 'h4/thm/extreal/add_rzero_'
0. 'coq/Coq_Reals_RIneq_Rge_ge_eq' 'h4/thm/integer/INT_LE_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_succ' 'h4/thm/numeral/numeral_iisuc_e2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_max_r' 'h4/thm/extreal/le_max2_'
0. 'coq/Coq_Arith_PeanoNat_Nat_negb_even' 'h4/thm/numRing/num_ring_thms_e17'#@#variant
0. 'coq/Coq_ZArith_Zpower_two_power_nat_equiv'#@#variant 'h4/thm/frac/frac_sgn_def_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_1_r'#@#variant 'h4/thm/arithmetic/PRE_SUB1_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lcm_diag' 'h4/thm/numeral/iDUB_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_succ_l' 'h4/thm/rat/RAT_AINV_LMUL_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_le' 'h4/thm/integer/INT_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_rem_1_r'#@#variant 'h4/thm/arithmetic/EXP_0'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_le_compat_l' 'h4/thm/realax/REAL_LT_IADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_ge_le_iff' 'h4/thm/integer/int_gt_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_0_r' 'h4/thm/integer/INT_DIVIDES_0_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_divide_mono_l' 'h4/thm/extreal/le_ladd_imp_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_lt_mono' 'h4/thm/integerRing/int_rewrites_tLRRRLRRRR'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_lub_lt_iff' 'h4/thm/arithmetic/MAX_LT_e1'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_factor_r' 'h4/thm/extreal/le_max2_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_lxor_r' 'h4/thm/frac/FRAC_AINV_RMUL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_of_N' 'h4/thm/rat/rat_nmr_def_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_pred_le' 'h4/thm/arithmetic/OR_LESS_'
0. 'coq/Coq_fourier_Fourier_util_Rle_zero_pos_plus1'#@#variant 'h4/thm/transc/SQRT_POS_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div_1_r' 'h4/thm/HolSmt/r080_'
0. 'coq/Coq_ZArith_BinInt_Z_eq_mul_0' 'h4/thm/extreal/entire_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigN_BigZ_spec_Z_of_N' 'h4/thm/rat/rat_nmr_def_'
0. 'coq/Coq_Numbers_Natural_BigN_Nbasic_plusnS' 'h4/thm/real/REAL_MUL_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_nge' 'h4/thm/rat/RAT_LEQ_LES_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sub_le_mono_r' 'h4/thm/hrat/TRAT_MUL_WELLDEFINED_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_neq_0_lt_0'#@#variant 'h4/thm/extreal/lt_infty_e6'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_involutive' 'h4/thm/integer/INT_ADD_REDUCE_3'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_lt_mono_pos_r'#@#variant 'h4/thm/logroot/EXP_LT_ISO_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_le_mono' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_total' 'h4/thm/realax/REAL_LT_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_nonneg_l'#@#variant 'h4/thm/logroot/ROOT_LE_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_opp_r' 'h4/thm/rat/RAT_AINV_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_nlt_ge' 'h4/thm/real/real_lt_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_lxor_r' 'h4/thm/integer/INT_MUL_CALCULATE_2'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_le' 'h4/thm/integer/int_lt_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_opp_succ' 'h4/thm/transc/EXP_NEG_'
0. 'coq/Coq_ZArith_BinInt_Z_quot_1_r' 'h4/thm/integer/INT_ADD_REDUCE_1'
0. 'coq/Coq_NArith_BinNat_N_lt_succ_r' 'h4/thm/float/LT_SUC_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_eq_0' 'h4/thm/extreal/entire_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pred_succ' 'h4/thm/transc/ATN_e2'
0. 'coq/Coq_ZArith_BinInt_Z_min_le_compat_r' 'h4/thm/integer/TINT_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_lt_mono_l' 'h4/thm/arithmetic/LT_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_lt_mono_nonneg'#@#variant 'h4/thm/real/REAL_LT_MUL2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftl_1_l'#@#variant 'h4/thm/numeral/numeral_texp_help_0'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_succ' 'h4/thm/toto/num_dt_size_def_e2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_succ_diag_r' 'h4/thm/prim_rec/LESS_SUC_SUC_0'
0. 'coq/Coq_NArith_BinNat_N_min_id' 'h4/thm/real/REAL_MIN_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_double_spec'#@#variant 'h4/thm/real/REAL_INV_1OVER_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_succ' 'h4/thm/numeral/iDUB_removal_0'
0. 'coq/Coq_Arith_Gt_plus_gt_compat_l' 'h4/thm/integer/INT_LT_LADD_IMP_'
0. 'coq/Coq_Reals_Rtrigo1_tan_gt_0'#@#variant 'h4/thm/transc/COS_POS_PI2_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div_1_r' 'h4/thm/integer/INT_ADD_REDUCE_1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_opp_r' 'h4/thm/HolSmt/r224_'#@#variant
0. 'coq/Coq_Reals_ROrderedType_ROrder_TO_lt_total' 'h4/thm/real/REAL_LT_TOTAL_'
0. 'coq/Coq_QArith_QArith_base_Zlt_Qlt' 'h4/thm/real/lt_int_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_clearbit_spec_prime'#@#variant 'h4/thm/extreal/extreal_sub_add_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_xO_r' 'h4/thm/integer/INT_NEG_RMUL_'
0. 'coq/Coq_ZArith_Zdiv_Zdiv_1_r' 'h4/thm/real/REAL_SUB_RZERO_'
0. 'coq/Coq_Arith_Mult_mult_lt_compat_l'#@#variant 'h4/thm/extreal/le_lmul_imp_'#@#variant
0. 'coq/Coq_ZArith_Zeven_Zodd_not_Zeven' 'h4/thm/float/FLOAT_DISTINCT_0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_neq_0_succ' 'h4/thm/transc/EXP_NZ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_max_distr' 'h4/thm/complex/COMPLEX_EXP_ADD_'#@#variant
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_iff' 'h4/thm/real/REAL_INJ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_nlt_ge' 'h4/thm/HolSmt/r096_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_nlt' 'h4/thm/real/real_lte_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_ngt' 'h4/thm/integer/INT_NOT_LT_'
0. 'coq/Coq_Reals_RIneq_Rlt_irrefl' 'h4/thm/prim_rec/LESS_REFL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sub_succ' 'h4/thm/arithmetic/SUB_MONO_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_nlt_ge' 'h4/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_Arith_PeanoNat_Nat_min_glb_iff' 'h4/thm/arithmetic/MIN_LE_e1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_nonzero' 'h4/thm/transc/RPOW_NZ_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_lt_mono_pos_l'#@#variant 'h4/thm/integer/INT_LT_MONO_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_le_mono_l' 'h4/thm/hreal/HRAT_LT_LADD_'
0. 'coq/Coq_ZArith_Znat_Z_nat_N' 'h4/thm/rat/rat_nmr_def_'
0. 'coq/Coq_ZArith_BinInt_Z_log2_le_mono' 'h4/thm/bit/TWOEXP_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_succ_r' 'h4/thm/complex/COMPLEX_NEG_RDIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_le_iff' 'h4/thm/real/REAL_LE_MAX_'
0. 'coq/Coq_ZArith_BinInt_Z_quot_le_mono' 'h4/thm/arithmetic/DIV_LE_MONOTONE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_refl' 'h4/thm/divides/DIVIDES_REFL_'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_minus_one_neq_zero'#@#variant 'h4/thm/integer/INT_10_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_xO'#@#variant 'h4/thm/quote/index_size_def_0'#@#variant
0. 'coq/Coq_NArith_BinNat_N_div2_double' 'h4/thm/transc/ATN_TAN_'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_le_mono' 'h4/thm/bit/TWOEXP_MONO2_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_divide_lcm_r' 'h4/thm/extreal/le_max2_'
0. 'coq/Coq_Reals_Raxioms_R1_neq_R0' 'h4/thm/ieee/ccode_distinct_4'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div2_spec'#@#variant 'h4/thm/arithmetic/DIV2_def_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_opp_r' 'h4/thm/rat/RAT_SUB_ADDAINV_'
0. 'coq/Coq_QArith_Qminmax_Q_min_le_iff' 'h4/thm/arithmetic/MIN_LT_0'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_odd' 'h4/thm/complex/MODU_NUM_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_cancel_r' 'h4/thm/rat/RAT_EQ_RADD_'
0. 'coq/Coq_ZArith_BinInt_Z_divide_refl' 'h4/thm/integer/INT_LE_REFL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_mul_below' 'h4/thm/real/REAL_SUB_ABS_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_lt_mono_pos_l'#@#variant 'h4/thm/logroot/LT_EXP_ISO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_le_compat_r' 'h4/thm/hrat/TRAT_MUL_WELLDEFINED_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_nonneg' 'h4/thm/prim_rec/LESS_0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_eq_cases' 'h4/thm/arithmetic/GREATER_OR_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_1_l'#@#variant 'h4/thm/extreal/sub_lzero_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_lt_mono_r' 'h4/thm/arithmetic/LE_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_lt_mono_l' 'h4/thm/arithmetic/ADD_MONO_LESS_EQ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_add_le_sub_r' 'h4/thm/arithmetic/SUB_LEFT_GREATER_EQ_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_add_r' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_lcm_l' 'h4/thm/real/REAL_LE_MAX1_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sub_le_mono_r' 'h4/thm/integer/TINT_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_id' 'h4/thm/extreal/min_refl_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_succ_l' 'h4/thm/arithmetic/ADD_e1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_nle_succ_0' 'h4/thm/arithmetic/NOT_SUC_LESS_EQ_0_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pred_div2_up' 'h4/thm/extreal/extreal_abs_def_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_le_mono' 'h4/thm/extreal/le_neg_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_sqrt' 'h4/thm/quote/index_size_def_0'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lor_diag' 'h4/thm/extreal/max_refl_'
0. 'coq/Coq_NArith_BinNat_N_lcm_1_r' 'h4/thm/extreal/sub_rzero_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_divide_xO_xO' 'h4/thm/arithmetic/LESS_EQ_MONO_'
0. 'coq/Coq_Arith_EqNat_eq_eq_nat' 'h4/thm/integer/INT_EQ_IMP_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_lt_mono' 'h4/thm/numeral/numeral_lt_3'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_nlt_ge' 'h4/thm/integer/INT_NOT_LE_'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_iff' 'h4/thm/ieee/roundmode_EQ_roundmode_'
0. 'coq/Coq_PArith_BinPos_Pos_lt_1_succ' 'h4/thm/transc/ATN_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_l' 'h4/thm/real/REAL_MAX_ALT_e1'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_nlt' 'h4/thm/rat/RAT_LES_LEQ_'
0. 'coq/Coq_ZArith_BinInt_Z_lcm_1_l' 'h4/thm/integer/INT_SUB_LZERO_'
0. 'coq/Coq_Arith_PeanoNat_Nat_pred_le_mono' 'h4/thm/integer/TINT_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_ZArith_Znat_Zabs_N_nat' 'h4/thm/rat/rat_nmr_def_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_r' 'h4/thm/arithmetic/LESS_MONO_MULT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_pos_nonneg'#@#variant 'h4/thm/integer/INT_LTE_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_le_compat_r' 'h4/thm/arithmetic/LESS_MONO_MULT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_land_diag' 'h4/thm/extreal/max_refl_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_compare_xI_xI' 'h4/thm/toto/num_dtOrd_7'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_ngt' 'h4/thm/integer/INT_NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_pos'#@#variant 'h4/thm/transc/LN_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div_1_r' 'h4/thm/integer/INT_SUB_RZERO_'
0. 'coq/Coq_PArith_BinPos_Pos_min_le_compat_l' 'h4/thm/real/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_max_l' 'h4/thm/realax/HREAL_LT_ADDL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_0_sub'#@#variant 'h4/thm/integer/INT_SUB_LT_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_min_l' 'h4/thm/real/REAL_MIN_LE1_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_add_diag_r' 'h4/thm/realax/HREAL_LT_ADDL_'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_compare' 'h4/thm/toto/charOrd_'
0. 'coq/Coq_Reals_RIneq_Ropp_mult_distr_r_reverse' 'h4/thm/real/REAL_MUL_RNEG_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_succ_diag_r' 'h4/thm/numpair/tri_le_'
0. 'coq/Coq_QArith_QArith_base_Qmult_1_l'#@#variant 'h4/thm/integer/TINT_ADD_LID_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_max_id' 'h4/thm/real/REAL_MIN_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_eq_cases' 'h4/thm/real/REAL_LE_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div2_double' 'h4/thm/bit/LOG2_TWOEXP_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_ldiff_diag' 'h4/thm/real/REAL_SUB_REFL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_sub_le_add_r' 'h4/thm/real/REAL_LE_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_opp' 'h4/thm/DeepSyntax/neginf_def_2'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_0_l' 'h4/thm/integer/INT_REM0_'#@#variant
0. 'coq/Coq_PArith_Pnat_Nat2Pos_inj_pred' 'h4/thm/toto/num_dt_size_def_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_succ' 'h4/thm/numeral/numeral_iisuc_1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_rem_1_l'#@#variant 'h4/thm/arithmetic/ONE_MOD_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_eq_cases' 'h4/thm/string/string_le_def_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_neg_neg'#@#variant 'h4/thm/extreal/lt_mul_neg_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_lt_eq_cases' 'h4/thm/string/string_le_def_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_min_r' 'h4/thm/real/REAL_MIN_LE2_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_nle_gt' 'h4/thm/real/REAL_NOT_LT_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_1' 'h4/thm/transc/TAN_0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_add_le_sub_r' 'h4/thm/extreal/lt_sub_imp_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_lt_mono_r'#@#variant 'h4/thm/real/REAL_LE_LMUL_IMP_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_nlt_ge' 'h4/thm/real/REAL_NOT_LT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_lub_iff' 'h4/thm/util_prob/MAX_LE_X_'
0. 'coq/Coq_ZArith_Znat_Zabs2Nat_inj_pos' 'h4/thm/ieee/Exponent_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div2_nonneg'#@#variant 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_eqb_eq' 'h4/thm/quote/compare_index_equal_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_antisym' 'h4/thm/rat/RAT_LEQ_ANTISYM_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_l' 'h4/thm/arithmetic/LESS_MOD_'
0. 'coq/Coq_NArith_BinNat_N_lcm_1_l' 'h4/thm/integer/INT_ADD_CALCULATE_0'
0. 'coq/Coq_NArith_BinNat_N_pred_le_mono' 'h4/thm/numpair/tri_LT_I_'
0. 'coq/Coq_PArith_Pnat_SuccNat2Pos_id_succ' 'h4/thm/complex/MODU_REAL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_shiftl_1_l'#@#variant 'h4/thm/integer/INT_SUB_REDUCE_1'#@#variant
0. 'coq/Coq_Reals_RIneq_Rge_refl' 'h4/thm/rat/RAT_EQUIV_REF_'
0. 'coq/Coq_Reals_RIneq_succ_IZR' 'h4/thm/hrat/trat_sucint_e1'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_divide_xO_xO' 'h4/thm/integerRing/int_rewrites_tLRRRLRRRR'
0. 'coq/Coq_PArith_BinPos_Pos_divide_xO_xO' 'h4/thm/numpair/tri_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftl_shiftl' 'h4/thm/arithmetic/SUB_RIGHT_SUB_'
0. 'coq/Coq_QArith_QArith_base_Qplus_inj_r' 'h4/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mod_mul' 'h4/thm/integer/INT_REM_COMMON_FACTOR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_sub' 'h4/thm/integer/INT_SUB_ADD_'
0. 'coq/Coq_Reals_Rpower_arcsinh_sinh' 'h4/thm/transc/ATN_TAN_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_double'#@#variant 'h4/thm/transc/LN_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_glb_iff' 'h4/thm/arithmetic/MIN_LE_e1'
0. 'coq/Coq_Reals_R_Ifp_Int_part_INR' 'h4/thm/ieee/Fraction_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_le_mono' 'h4/thm/hrat/TRAT_INV_WELLDEFINED_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_inj_wd' 'h4/thm/numeral/numeral_eq_6'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_asymm' 'h4/thm/arithmetic/LESS_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_1_l' 'h4/thm/extreal/neg_minus1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_sub_le_add_r' 'h4/thm/arithmetic/SUB_LEFT_LESS_'
0. 'coq/Coq_ZArith_BinInt_Z_add_nonneg_nonneg' 'h4/thm/realax/REAL_LT_MUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_1_r' 'h4/thm/extreal/sub_rzero_'
0. 'coq/Coq_ZArith_BinInt_Z_opp_sub_distr' 'h4/thm/integer/INT_SUB_LNEG_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_quot2' 'h4/thm/toto/num_dt_size_def_e2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_m1_0'#@#variant 'h4/thm/transc/PI2_BOUNDS_e1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_le_compat_r' 'h4/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_QArith_Qreduction_Qred_comp' 'h4/thm/integer/TINT_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_le_succ_r' 'h4/thm/prim_rec/LESS_SUC_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_nonpos' 'h4/thm/real/REAL_POS_LE_ZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_rem' 'h4/thm/integer/INT_MOD_PLUS_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_Zabs' 'h4/thm/toto/num_dt_size_def_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_inj_wd' 'h4/thm/real/REAL_EQ_NEG_'
0. 'coq/Coq_Reals_Rtrigo1_SIN_bound/1' 'h4/thm/transc/COS_BOUNDS_e1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_eq_0' 'h4/thm/gcd/GCD_EQ_0_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_lteq' 'h4/thm/integer/INT_LE_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_lcm_l' 'h4/thm/arithmetic/LESS_EQ_ADD_'
0. 'coq/Coq_NArith_BinNat_N_pow_add_r' 'h4/thm/arithmetic/EXP_ADD_'
0. 'coq/Coq_Numbers_Cyclic_ZModulo_ZModulo_Ptail_pos' 'h4/thm/extreal/lt_infty_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_pos_pos' 'h4/thm/binary_ieee/le2_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sqrt_1' 'h4/thm/rat/RAT_AINV_0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftl_mul_pow2'#@#variant 'h4/thm/extreal/extreal_sub_add_'
0. 'coq/Coq_ZArith_Zorder_Zgt_succ' 'h4/thm/numpair/nsnd_le_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_succ_r' 'h4/thm/real/REAL_MUL_RNEG_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div2_succ_double' 'h4/thm/transc/LN_EXP_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_div2' 'h4/thm/extreal/extreal_abs_def_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sub_le_mono_l' 'h4/thm/extreal/le_lsub_imp_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_pos'#@#variant 'h4/thm/transc/LN_POS_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_mul_le_mono_r' 'h4/thm/integer/INT_LE_RADD_'
0. 'coq/Coq_Reals_RIneq_Rgt_irrefl' 'h4/thm/realax/HREAL_LT_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_max_r' 'h4/thm/hreal/HRAT_LT_ADDR_'
0. 'coq/Coq_ZArith_BinInt_Z_le_antisymm' 'h4/thm/arithmetic/LESS_EQUAL_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_le_mono_l' 'h4/thm/real/REAL_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_le_mono' 'h4/thm/hrat/TRAT_INV_WELLDEFINED_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_pow' 'h4/thm/complex/COMPLEX_NEG_LMUL_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_gt_lt_iff' 'h4/thm/rat/rat_geq_def_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_ngt' 'h4/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pow_lt_mono_r_iff'#@#variant 'h4/thm/rat/RAT_LES_LMUL_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_nonneg' 'h4/thm/arithmetic/FACT_LESS_'
0. 'coq/Coq_Reals_RIneq_Rgt_or_ge' 'h4/thm/real/REAL_LET_TOTAL_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_nge' 'h4/thm/HolSmt/r115_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_pos_neg'#@#variant 'h4/thm/extreal/mul_lt_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_rem_opp_l_prime' 'h4/thm/integer/INT_MUL_CALCULATE_1'
0. 'coq/Coq_PArith_BinPos_Pos_lt_not_add_l' 'h4/thm/integer/LT_ADDR_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_le_mono_l' 'h4/thm/arithmetic/LE_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_opp_r' 'h4/thm/extreal/extreal_div_def_'
0. 'coq/Coq_PArith_BinPos_Pos_lt_succ_diag_r' 'h4/thm/divides/INDEX_LESS_PRIMES_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_asymm' 'h4/thm/integer/INT_LT_ANTISYM_'
0. 'coq/Coq_Reals_Rtrigo1_PI4_RLT_PI2'#@#variant 'h4/thm/transc/PI2_BOUNDS_e1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pred_le_mono' 'h4/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qmult_le_l'#@#variant 'h4/thm/rat/RAT_LES_LMUL_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_le_compat_r' 'h4/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_le_mono_r' 'h4/thm/arithmetic/LE_ADD_RCANCEL_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_opp_neg' 'h4/thm/numRing/num_ring_thms_e17'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_1_l' 'h4/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qcmult_inv_l'#@#variant 'h4/thm/realax/REAL_MUL_LINV_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_lt_mono_r'#@#variant 'h4/thm/real/REAL_LT_LMUL_IMP_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_ge_cases' 'h4/thm/extreal/le_total_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_succ_r' 'h4/thm/arithmetic/ADD_SUC_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_neg_iff' 'h4/thm/string_num/n2s_11_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rmin_glb' 'h4/thm/divides/DIVIDES_SUB_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div2_div'#@#variant 'h4/thm/arithmetic/PRE_SUB1_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sub_1_r'#@#variant 'h4/thm/arithmetic/DIV2_def_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_eq_0' 'h4/thm/gcd/GCD_EQ_0_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_pos_neg'#@#variant 'h4/thm/extreal/mul_lte_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_cancel_l' 'h4/thm/integer/INT_EQ_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_1_l' 'h4/thm/extreal/add_lzero_'
0. 'coq/Coq_Bool_Bool_diff_false_true' 'h4/thm/ieee/ccode_distinct_e5'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_eq_0' 'h4/thm/integer/INT_ENTIRE_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_le_mono_r' 'h4/thm/hreal/HRAT_LT_RADD_'
0. 'coq/Coq_Reals_Rminmax_R_min_id' 'h4/thm/arithmetic/MAX_IDEM_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_mul_below' 'h4/thm/real/REAL_SUB_ABS_'
0. 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_lt_not_eq' 'h4/thm/rat/RAT_LES_IMP_NEQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_0_l' 'h4/thm/HolSmt/r221_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_tan_gt_0'#@#variant 'h4/thm/transc/SIN_POS_PI2_LE_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_SIN_bound/0'#@#variant 'h4/thm/transc/ATN_0'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lt_nge' 'h4/thm/HolSmt/r096_'
0. 'coq/Coq_NArith_BinNat_N_shiftr_shiftr' 'h4/thm/logroot/EXP_MUL_'
0. 'coq/Coq_Reals_RIneq_Ropp_Ropp_IZR' 'h4/thm/complex/COMPLEX_OF_REAL_INV_'#@#variant
0. 'coq/Coq_Arith_Plus_plus_le_compat_r' 'h4/thm/hrat/TRAT_MUL_WELLDEFINED_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_total' 'h4/thm/hreal/HREAL_LT_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_1_succ' 'h4/thm/divides/ZERO_LT_PRIMES_'
0. 'coq/Coq_ZArith_BinInt_Z_div2_div'#@#variant 'h4/thm/arithmetic/ADD1_'#@#variant
0. 'coq/Coq_setoid_ring_RealField_Rdef_pow_add' 'h4/thm/extreal/pow_add_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_lub_iff' 'h4/thm/extreal/max_le_'
0. 'coq/Coq_Reals_Rbasic_fun_Rmin_Rgt_l' 'h4/thm/integer/INT_MAX_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_eq_0' 'h4/thm/intExtension/INT_NO_ZERODIV_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_clearbit_spec_prime'#@#variant 'h4/thm/real/real_sub_'
0. 'coq/Coq_Arith_PeanoNat_Nat_max_le_iff' 'h4/thm/util_prob/X_LE_MAX_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_neq_succ_0' 'h4/thm/toto/num_dt_distinct_1'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_neq_succ_diag_r' 'h4/thm/prim_rec/SUC_ID_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_cancel_r' 'h4/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_antisymm' 'h4/thm/rat/RAT_LEQ_ANTISYM_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_1_r' 'h4/thm/HolSmt/r223_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_add_r' 'h4/thm/hreal/HRAT_LT_ADDL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_1_mul_pos'#@#variant 'h4/thm/extreal/lte_add_'#@#variant
0. 'coq/Coq_QArith_Qminmax_Q_le_max_r' 'h4/thm/hreal/HRAT_LT_ADDR_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_1' 'h4/thm/transc/SQRT_0_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_eq_add_0' 'h4/thm/arithmetic/MULT_EQ_1_'#@#variant
0. 'coq/Coq_Reals_RIneq_tech_Rgt_minus' 'h4/thm/arithmetic/X_LE_X_EXP_'
0. 'coq/Coq_ZArith_Znat_N2Z_id' 'h4/thm/real/NUM_FLOOR_EQNS_0'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_compare_xI_xI' 'h4/thm/toto/qk_numeralOrd_5'
0. 'coq/Coq_ZArith_BinInt_Z_abs_lt' 'h4/thm/extreal/abs_bounds_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_divide_r' 'h4/thm/real/REAL_MIN_LE2_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_compare_succ_succ' 'h4/thm/toto/num_dtOrd_e8'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_le_mono_r' 'h4/thm/arithmetic/LESS_MONO_ADD_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_setbit_spec_prime'#@#variant 'h4/thm/HolSmt/r131_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_antisymm' 'h4/thm/arithmetic/LESS_EQUAL_ANTISYM_'
0. 'coq/Coq_Arith_Le_le_n_S' 'h4/thm/integer/TINT_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_double_mul' 'h4/thm/arithmetic/ADD_e1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_b2z_div2'#@#variant 'h4/thm/extreal/extreal_sub_def_3'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_1_l' 'h4/thm/real/REAL_DIV_LZERO_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_divide_lcm_l' 'h4/thm/arithmetic/LESS_EQ_ADD_'
0. 'coq/Coq_NArith_BinNat_N_pow_1_l' 'h4/thm/real/REAL_DIV_LZERO_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_1_mul_pos'#@#variant 'h4/thm/extreal/let_mul_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_compare_xI_xI' 'h4/thm/toto/numeralOrd_6'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_diag' 'h4/thm/numeral/iSQR_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_compare_succ' 'h4/thm/toto/num_dtOrd_e8'
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_1_l'#@#variant 'h4/thm/divides/ONE_DIVIDES_ALL_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lcm_1_r' 'h4/thm/integer/INT_ADD_RID_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ldiff_land' 'h4/thm/extreal/extreal_sub_add_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_ones_equiv'#@#variant 'h4/thm/numeral/numeral_suc_1'
0. 'coq/Coq_Reals_Rpower_arcsinh_sinh' 'h4/thm/string/EXPLODE_IMPLODE_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_le_mono_l' 'h4/thm/arithmetic/ADD_MONO_LESS_EQ_'
0. 'coq/Coq_ZArith_BinInt_Z_mod_0_l' 'h4/thm/integer/INT_REM0_'#@#variant
0. 'coq/Coq_Arith_Lt_lt_n_S' 'h4/thm/bit/TWOEXP_MONO2_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lxor_m1_l'#@#variant 'h4/thm/HolSmt/r129_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_ge_le_iff' 'h4/thm/integer/int_ge_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_le_mono_l' 'h4/thm/real/REAL_LE_LADD_'
0. 'coq/Coq_NArith_BinNat_N_add_succ_l' 'h4/thm/complex/COMPLEX_NEG_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_neq_succ_diag_l' 'h4/thm/prim_rec/SUC_ID_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_pos' 'h4/thm/extreal/lt_infty_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_opp_r' 'h4/thm/integer/INT_SUB_RNEG_'
0. 'coq/Coq_NArith_BinNat_N_log2_le_mono' 'h4/thm/hrat/TRAT_INV_WELLDEFINED_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_le_mono' 'h4/thm/transc/EXP_MONO_LT_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_succ_r' 'h4/thm/arithmetic/ADD_CLAUSES_e3'
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_le_lin'#@#variant 'h4/thm/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_pow_0_l'#@#variant 'h4/thm/arithmetic/ZERO_MOD_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_0_mul_prime' 'h4/thm/arithmetic/ZERO_LESS_MULT_'
0. 'coq/Coq_QArith_Qminmax_Q_max_le_compat_l' 'h4/thm/integer/TINT_LT_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_irrefl' 'h4/thm/realax/TREAL_LT_REFL_'#@#variant
0. 'coq/Coq_Reals_Rtrigo_def_sin_no_R0' 'h4/thm/extreal/num_not_infty_e1'
0. 'coq/Coq_ZArith_Znat_Zabs2Nat_id' 'h4/thm/ieee/num2roundmode_roundmode2num_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_nonneg_l'#@#variant 'h4/thm/integral/REAL_LE_LMUL1_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_opp_r' 'h4/thm/complex/COMPLEX_NEG_RDIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_ldiff' 'h4/thm/real/REAL_SUB_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_refl' 'h4/thm/real/REAL_LE_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_le_mono_nonneg_r'#@#variant 'h4/thm/arithmetic/DIV_LE_MONOTONE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_leb_le' 'h4/thm/quote/index_lt_def_'
0. 'coq/Coq_NArith_BinNat_N_pow_lt_mono_r' 'h4/thm/integral/REAL_LE_LMUL1_'
0. 'coq/Coq_NArith_BinNat_N_le_sub_le_add_r' 'h4/thm/integer/INT_LT_SUB_RADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_le_lin' 'h4/thm/numpair/nfst_le_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_1_l' 'h4/thm/real/REAL_MUL_LZERO_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_gt' 'h4/thm/integer/INT_LE_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_2' 'h4/thm/extreal/half_between_e2'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_opp_r' 'h4/thm/arithmetic/ADD_CLAUSES_e3'
0. 'coq/Coq_ZArith_Zpower_two_power_pos_equiv'#@#variant 'h4/thm/integerRing/int_ring_thms_e17'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_trichotomy' 'h4/thm/arithmetic/LESS_LESS_CASES_'
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_diag' 'h4/thm/arithmetic/MIN_IDEM_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_inj_wd' 'h4/thm/integral/EQ_SUC_'
0. 'coq/Coq_Reals_ROrderedType_ROrder_TO_le_lteq' 'h4/thm/real/REAL_LE_LT_'
0. 'coq/Coq_NArith_BinNat_N_pow_le_mono_l' 'h4/thm/hrat/TRAT_MUL_WELLDEFINED_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_1' 'h4/thm/extreal/half_between_e2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_add_lt_sub_r' 'h4/thm/real/REAL_LE_SUB_RADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lcm_diag' 'h4/thm/real/REAL_MIN_REFL_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_odd' 'h4/thm/hrat/hrat_sucint_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_odd_1' 'h4/thm/ieee/Minus_zero_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_inj' 'h4/thm/divides/PRIMES_11_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_iff' 'h4/thm/extreal/extreal_11_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_xO_r' 'h4/thm/complex/COMPLEX_NEG_RDIV_'#@#variant
0. 'coq/Coq_ZArith_Zlogarithm_Zlog2_log_inf' 'h4/thm/util_prob/lg_pow_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_nge' 'h4/thm/rat/RAT_LEQ_LES_'
0. 'coq/Coq_ZArith_Zlogarithm_log_sup_correct1'#@#variant 'h4/thm/integer/INT_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_nlt_1_r' 'h4/thm/bit/BIT_ZERO_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_land_lnot_diag' 'h4/thm/integer/INT_ADD_RINV_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_abs_le' 'h4/thm/extreal/abs_bounds_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_succ_lt_mono' 'h4/thm/transc/EXP_MONO_LE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_add_lt_sub_r' 'h4/thm/integer/INT_LE_SUB_RADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_sub_lt_add_r' 'h4/thm/real/REAL_LT_SUB_RADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_glb_iff' 'h4/thm/integral/REAL_LT_MIN_'
0. 'coq/Coq_ZArith_BinInt_Zplus_minus' 'h4/thm/integer/INT_SUB_ADD2_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pred_le_mono' 'h4/thm/divides/LT_PRIMES_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_opp_r' 'h4/thm/integer/INT_DIVIDES_NEG_0'
0. 'coq/Coq_Bool_Bool_xorb_nilpotent' 'h4/thm/real/REAL_SUB_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_le_compat_r' 'h4/thm/arithmetic/LESS_MONO_MULT_'
0. 'coq/Coq_NArith_Ndist_ni_min_O_r' 'h4/thm/integer/INT_MUL_REDUCE_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_nlt_ge' 'h4/thm/real/real_lt_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_1_l'#@#variant 'h4/thm/HolSmt/r128_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Zplus_succ_r_reverse' 'h4/thm/frac/FRAC_AINV_RMUL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_max_lt_iff' 'h4/thm/extreal/le_max_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_clearbit_spec_prime'#@#variant 'h4/thm/extreal/extreal_sub_add_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_lt_mono_neg_l' 'h4/thm/rat/RAT_LES_LMUL_NEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_1_succ' 'h4/thm/arithmetic/FACT_LESS_'
0. 'coq/Coq_PArith_BinPos_Pos_divide_xO_xO' 'h4/thm/numeral/numeral_lt_3'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_lt_mono' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_1_r' 'h4/thm/HolSmt/r223_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_0_l' 'h4/thm/divides/ONE_DIVIDES_ALL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_factor_l' 'h4/thm/extreal/le_max1_'
0. 'coq/Coq_Sets_Multiset_meq_refl' 'h4/thm/Encode/biprefix_refl_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_compare_succ_succ' 'h4/thm/toto/numeralOrd_6'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_1_r' 'h4/thm/extreal/add_rzero_'
0. 'coq/Coq_ZArith_BinInt_Z_min_l' 'h4/thm/arithmetic/LESS_MOD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_nlt_0_r' 'h4/thm/prim_rec/NOT_LESS_0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_quot_0_l' 'h4/thm/integer/INT_QUOT_0_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_irrefl' 'h4/thm/realax/REAL_LT_REFL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_square_nonneg'#@#variant 'h4/thm/integer/INT_LE_SQUARE_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_xI_succ_xO' 'h4/thm/numeral/numeral_pre_e4'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_succ_diag_r' 'h4/thm/numpair/tri_le_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div_1_r' 'h4/thm/extreal/sub_rzero_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_lub_lt_iff' 'h4/thm/util_prob/MAX_LE_X_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_lt_mono_nonneg'#@#variant 'h4/thm/real/REAL_LT_MUL2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_negb_odd' 'h4/thm/ratRing/rat_ring_thms_e17'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div_same'#@#variant 'h4/thm/integer/INT_DIV_ID_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_le_le_succ_r' 'h4/thm/prim_rec/LESS_SUC_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_refl' 'h4/thm/rat/RAT_LEQ_REF_'
0. 'coq/Coq_Reals_RIneq_pos_INR' 'h4/thm/extreal/lt_infty_0'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_le_mono' 'h4/thm/numpair/tri_LT_I_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_red' 'h4/thm/DeepSyntax/deep_form_size_def_2'#@#variant
0. 'coq/Coq_ZArith_Zgcd_alt_Zgcd_bound_opp' 'h4/thm/complex/MODU_NEG_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_id' 'h4/thm/ieee/ccode_BIJ_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_inj' 'h4/thm/divides/PRIMES_11_'
0. 'coq/Coq_ZArith_BinInt_Z_gt_lt_iff' 'h4/thm/integer/INT_GE_CALCULATE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_1_l' 'h4/thm/HolSmt/r233_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_le_mono_r' 'h4/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_succ_l' 'h4/thm/arithmetic/MULT_CLAUSES_4'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_negb_even' 'h4/thm/util_prob/lg_pow_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_lt_mono_pos_l'#@#variant 'h4/thm/int_arith/lt_justify_multiplication_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rle_not_lt' 'h4/thm/integer/INT_LTE_ANTSYM_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_trichotomy' 'h4/thm/realax/REAL_LT_TOTAL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_rem_opp_l_prime' 'h4/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_lt_mono_r' 'h4/thm/hreal/HRAT_LT_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftr_opp_r' 'h4/thm/integer/INT_SUB_RNEG_'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_iff' 'h4/thm/string_num/s2n_11_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_add_le_sub_r' 'h4/thm/integer/INT_LT_ADD_SUB_'
0. 'coq/Coq_ZArith_BinInt_Z_min_le_compat_l' 'h4/thm/integer/INT_LT_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_opp_r' 'h4/thm/real/real_sub_'
0. 'coq/Coq_Arith_Lt_le_not_lt' 'h4/thm/arithmetic/LESS_EQ_ANTISYM_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ldiff_m1_r'#@#variant 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRL'#@#variant
0. 'coq/Coq_Arith_Mult_mult_lt_compat_r'#@#variant 'h4/thm/real/REAL_LE_RMUL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_divide_mono_l' 'h4/thm/realax/REAL_LT_IADD_'
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_Rinv' 'h4/thm/real/ABS_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_pos_r'#@#variant 'h4/thm/real/REAL_LT_RMUL_'#@#variant
0. 'coq/Coq_Reals_Rtrigo_def_sin_antisym' 'h4/thm/complex/CONJ_INV_'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_ge' 'h4/thm/integer/INT_LE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_1_r' 'h4/thm/real/REAL_SUB_RZERO_'
0. 'coq/Coq_Arith_PeanoNat_Nat_succ_le_mono' 'h4/thm/numeral/numeral_distrib_22'
0. 'coq/Coq_Arith_Lt_lt_n_S' 'h4/thm/divides/LT_PRIMES_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_succ_inj' 'h4/thm/num/INV_SUC_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_neq_succ_0' 'h4/thm/transc/EXP_NZ_'#@#variant
0. 'coq/Coq_Bool_Bool_negb_involutive_reverse' 'h4/thm/integer/INT_ADD_REDUCE_3'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_nonneg' 'h4/thm/prim_rec/LESS_0_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_le_compat_l' 'h4/thm/integer/INT_LT_LADD_IMP_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_le_mono' 'h4/thm/arithmetic/LESS_MONO_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_le_mono_r' 'h4/thm/integer/INT_LE_RADD_'
0. 'coq/Coq_ZArith_Zpow_alt_Zpower_alt_0_r'#@#variant 'h4/thm/numeral/numeral_exp_0'#@#variant
0. 'coq/Coq_Reals_RIneq_cond_nonzero' 'h4/thm/binary_ieee/float_value_distinct_0'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pow_le_mono_r_iff'#@#variant 'h4/thm/transc/RPOW_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lcm_1_l'#@#variant 'h4/thm/HolSmt/r221_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_gcd_0_l' 'h4/thm/realax/TREAL_MUL_LID_'#@#variant
0. 'coq/Coq_ZArith_Zcomplements_Zlength_nil' 'h4/thm/sptree/size_def_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_setbit_spec_prime'#@#variant 'h4/thm/extreal/extreal_sub_add_'
0. 'coq/Coq_NArith_BinNat_N_lt_irrefl' 'h4/thm/realax/HREAL_LT_REFL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_succ'#@#variant 'h4/thm/real/REAL_OF_NUM_SUC_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_mul_le_mono_l' 'h4/thm/arithmetic/ADD_MONO_LESS_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_le_compat_l' 'h4/thm/realax/REAL_LT_IADD_'
0. 'coq/Coq_MSets_MSetPositive_PositiveSet_E_eqb_eq' 'h4/thm/quote/compare_index_equal_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_power_norm' 'h4/thm/integral/REAL_POW_LE_1_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_pos_neg'#@#variant 'h4/thm/extreal/mul_lt_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_min_le_compat_l' 'h4/thm/realax/TREAL_LT_ADD_'#@#variant
0. 'coq/Coq_ZArith_Znat_Z2N_inj_pred' 'h4/thm/complex/COMPLEX_OF_REAL_INV_'#@#variant
0. 'coq/Coq_Reals_Rfunctions_pow_incr'#@#variant 'h4/thm/real/POW_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_le_mono_r' 'h4/thm/arithmetic/LE_ADD_RCANCEL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_max_le_compat_r' 'h4/thm/arithmetic/LESS_MONO_MULT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_lt_le_mono' 'h4/thm/real/REAL_LTE_ADD2_'
0. 'coq/Coq_Reals_SeqProp_cv_cvabs' 'h4/thm/seq/SEQ_ABS_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_divide_r' 'h4/thm/extreal/min_le2_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_double'#@#variant 'h4/thm/util_prob/neg_lg_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_add_diag_r' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div_1_r' 'h4/thm/HolSmt/r223_'
0. 'coq/Coq_Reals_Rtrigo_calc_sqrt2_neq_0'#@#variant 'h4/thm/prelim/ordering_distinct_e2'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_of_Z' 'h4/thm/integer/NUM_OF_INT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_eq_1'#@#variant 'h4/thm/arithmetic/MULT_EQ_1_'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_iff' 'h4/thm/complex/COMPLEX_OF_REAL_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_1_r' 'h4/thm/real/REAL_MUL_RZERO_'
0. 'coq/Coq_ZArith_BinInt_Z_lnot_nonneg'#@#variant 'h4/thm/integer/INT_NEG_GE0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_pred' 'h4/thm/numeral/numeral_suc_e2'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_le_mono' 'h4/thm/bit/TWOEXP_MONO_'#@#variant
0. 'coq/Coq_Reals_Raxioms_R1_neq_R0' 'h4/thm/extreal/ne_01_'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_gt' 'h4/thm/integer/INT_LT_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_eq_cases' 'h4/thm/rat/rat_leq_def_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_add_r' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_0'
0. 'coq/Coq_QArith_Qminmax_Q_min_glb_lt_iff' 'h4/thm/arithmetic/MIN_LT_e1'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_1_l' 'h4/thm/HolSmt/r213_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_nonneg_r'#@#variant 'h4/thm/arithmetic/DIV_LE_MONOTONE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_inj_wd' 'h4/thm/prim_rec/INV_SUC_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lnot_0_l' 'h4/thm/integer/INT_SUB_REDUCE_1'#@#variant
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_l2i_i2l'#@#variant 'h4/thm/ieee/num2ccode_ccode2num_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div2_spec'#@#variant 'h4/thm/arithmetic/DIV2_def_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_le_lteq' 'h4/thm/arithmetic/LESS_OR_EQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_lt_mono_r_iff'#@#variant 'h4/thm/logroot/LT_EXP_ISO_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_1_mul_pos'#@#variant 'h4/thm/util_prob/REAL_LE_LT_MUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_lub_iff' 'h4/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_PArith_BinPos_Pos_mul_lt_mono_r' 'h4/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_glb' 'h4/thm/divides/DIVIDES_ADD_1_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_gt' 'h4/thm/integer/int_lt_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Zpred_succ' 'h4/thm/prim_rec/PRE_e1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_setbit_spec_prime'#@#variant 'h4/thm/rat/RAT_SUB_ADDAINV_'
0. 'coq/Coq_QArith_QArith_base_Qplus_lt_l' 'h4/thm/arithmetic/LE_ADD_RCANCEL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_succ_le_mono' 'h4/thm/integerRing/int_rewrites_tLRRRRLRRR'
0. 'coq/Coq_Reals_Rtrigo_calc_deg_rad' 'h4/thm/numeral/numeral_add_0'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lt_0_succ' 'h4/thm/divides/ZERO_LT_PRIMES_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sub_succ' 'h4/thm/real/REAL_NEG_MUL2_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_setbit_spec_prime'#@#variant 'h4/thm/real/real_div_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_le_pred' 'h4/thm/arithmetic/LESS_EQ_IMP_LESS_SUC_'
0. 'coq/Coq_Reals_ROrderedType_ROrder_lt_le_trans' 'h4/thm/arithmetic/LESS_LESS_EQ_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_1_l'#@#variant 'h4/thm/rat/RAT_SUB_LID_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_le_lteq' 'h4/thm/string/string_le_def_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sub_max_distr_l' 'h4/thm/arithmetic/EXP_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_1_l' 'h4/thm/integer/INT_MUL_LZERO_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_le_mono_r' 'h4/thm/arithmetic/LESS_EQ_MONO_ADD_EQ_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_l' 'h4/thm/extreal/le_ladd_imp_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ldiff_diag' 'h4/thm/real/REAL_SUB_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_le_mono' 'h4/thm/numpair/tri_LE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_square_nonneg'#@#variant 'h4/thm/real/REAL_LE_SQUARE_'#@#variant
0. 'coq/Coq_Lists_List_length_zero_iff_nil' 'h4/thm/quantHeuristics/LIST_LENGTH_3_42'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lcm_diag' 'h4/thm/arithmetic/MAX_IDEM_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_eq_le_incl' 'h4/thm/realax/TREAL_EQ_AP_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_divide_xO_xO' 'h4/thm/arithmetic/LESS_EQ_MONO_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_le_lin' 'h4/thm/numpair/invtri_le_'
0. 'coq/Coq_ZArith_Znat_Z2Nat_inj_pos' 'h4/thm/rat/RAT_SGN_CALCULATE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_gt_lin_r'#@#variant 'h4/thm/arithmetic/X_LT_EXP_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_le_mono' 'h4/thm/numeral/numeral_lte_e6'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_Zpos' 'h4/thm/string/char_gt_def_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_nlt_ge' 'h4/thm/rat/RAT_LES_LEQ_'
0. 'coq/Coq_Bool_Bool_diff_true_false' 'h4/thm/toto/all_cpn_distinct_2'
0. 'coq/Coq_PArith_BinPos_Pos_succ_le_mono' 'h4/thm/numpair/tri_LE_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_gt_cases' 'h4/thm/real/REAL_LTE_TOTAL_'
0. 'coq/Coq_NArith_BinNat_N_lt_add_lt_sub_r' 'h4/thm/real/REAL_LE_SUB_LADD_'
0. 'coq/Coq_ZArith_Znat_N2Z_id' 'h4/thm/ASCIInumbers/toNum_toString_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_even_1' 'h4/thm/ieee/Plus_zero_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_rem_1_l'#@#variant 'h4/thm/arithmetic/ONE_MOD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_lor' 'h4/thm/complex/COMPLEX_EXP_ADD_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_id' 'h4/thm/arithmetic/MAX_IDEM_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_1_r'#@#variant 'h4/thm/arithmetic/ADD1_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftr_shiftr' 'h4/thm/arithmetic/SUB_RIGHT_SUB_'
0. 'coq/Coq_Reals_RIneq_Rgt_ge' 'h4/thm/arithmetic/LESS_IMP_LESS_OR_EQ_'
0. 'coq/Coq_ZArith_Zorder_not_Zeq' 'h4/thm/hreal/HRAT_LT_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_le_mono_l' 'h4/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Bool_Bool_xorb_negb_negb' 'h4/thm/integer/INT_NEG_MUL2_'
0. 'coq/Coq_Reals_Rtrigo1_PI_neq0' 'h4/thm/ieee/roundmode_distinct_0'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_pos_r'#@#variant 'h4/thm/real/REAL_LE_RMUL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lor_eq_0_iff' 'h4/thm/arithmetic/ADD_EQ_0_'
0. 'coq/Coq_QArith_Qround_Qceiling_Z' 'h4/thm/rat/RAT_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_of_Qc_bis' 'h4/thm/real/REAL_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_pos_nonneg'#@#variant 'h4/thm/arithmetic/ONE_LT_MULT_IMP_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_1' 'h4/thm/transc/TAN_0_'
0. 'coq/Coq_NArith_BinNat_N_sub_succ' 'h4/thm/integer/INT_NEG_MUL2_'
0. 'coq/Coq_PArith_BinPos_Pos_succ_le_mono' 'h4/thm/integerRing/int_rewrites_tLRRRLRRR'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_sub_lt_add_r' 'h4/thm/arithmetic/SUB_LEFT_GREATER_EQ_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_incr' 'h4/thm/rat/RAT_AINV_CALCULATE_'
0. 'coq/Coq_NArith_BinNat_N_succ_0_discr' 'h4/thm/toto/num_dt_distinct_1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_lt_mono_l' 'h4/thm/integer/INT_LT_LADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_digits/0'#@#variant 'h4/thm/binary_ieee/zero_lt_twopow_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_opp_r' 'h4/thm/rat/RAT_SUB_ADDAINV_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_nonneg_nonpos'#@#variant 'h4/thm/extreal/mul_lte_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_succ_r' 'h4/thm/integer/INT_NEG_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_0_l' 'h4/thm/util_prob/lg_def_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_lt_le_mono' 'h4/thm/real/REAL_LTE_ADD2_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_lt' 'h4/thm/integer/INT_LT_CALCULATE_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_pos_pos' 'h4/thm/binary_ieee/le2_'#@#variant
0. 'coq/Coq_Bool_Bool_negb_xorb_r' 'h4/thm/integer/INT_MUL_CALCULATE_2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_pos'#@#variant 'h4/thm/numeral/numeral_distrib_33'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_ge' 'h4/thm/integer/INT_LT_'
0. 'coq/Coq_Arith_PeanoNat_Nat_pred_le_mono' 'h4/thm/bit/TWOEXP_MONO2_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_total' 'h4/thm/arithmetic/LESS_CASES_IMP_'
0. 'coq/Coq_ZArith_BinInt_Z_add_pos_nonneg'#@#variant 'h4/thm/integer/INT_LTE_ADD_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_nonneg_l'#@#variant 'h4/thm/real/REAL_LT_LMUL_IMP_'#@#variant
0. 'coq/Coq_Reals_Exp_prop_div2_double'#@#variant 'h4/thm/transc/ATN_TAN_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_nonneg' 'h4/thm/arithmetic/FACT_LESS_'
0. 'coq/Coq_Sets_Uniset_seq_trans' 'h4/thm/rich_list/IS_PREFIX_TRANS_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_le_mono_pos_l'#@#variant 'h4/thm/real/REAL_LE_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_sub_le_add_l' 'h4/thm/arithmetic/SUB_RIGHT_LESS_EQ_'
0. 'coq/Coq_NArith_BinNat_N_ge_le_iff' 'h4/thm/string/string_gt_def_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_le_mono_r_iff'#@#variant 'h4/thm/real/REAL_LE_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div_1_r' 'h4/thm/HolSmt/r223_'
0. 'coq/Coq_QArith_QArith_base_Zle_Qle' 'h4/thm/real/le_int_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_succ_inj_wd' 'h4/thm/quote/index_11_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_le_mono' 'h4/thm/bit/TWOEXP_MONO2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div_1_r' 'h4/thm/extreal/add_rzero_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_le_incl' 'h4/thm/extreal/lt_imp_le_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lcm_1_l' 'h4/thm/rat/RAT_SUB_LID_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_id' 'h4/thm/arithmetic/MAX_IDEM_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_setbit_spec_prime'#@#variant 'h4/thm/extreal/extreal_div_def_'
0. 'coq/Coq_ZArith_BinInt_Z_add_le_mono_r' 'h4/thm/real/REAL_LE_SUB_CANCEL2_'
0. 'coq/Coq_QArith_Qminmax_Q_max_le_compat_l' 'h4/thm/real/REAL_LT_IADD_'
0. 'coq/Coq_Reals_Rtrigo1_cos_sin'#@#variant 'h4/thm/transc/SIN_COS_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_lt_mono_l' 'h4/thm/integer/INT_LT_LADD_'
0. 'coq/Coq_NArith_BinNat_N_pos_pred_succ' 'h4/thm/binary_ieee/num2rounding_rounding2num_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_ge' 'h4/thm/integer/int_lt_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_PI_neq0' 'h4/thm/binary_ieee/float_compare_distinct_3'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_1' 'h4/thm/rat/RAT_AINV_0_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_of_Qc_bis' 'h4/thm/real/POW_2_LE1_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lxor_0_l' 'h4/thm/integer/TINT_ADD_LID_'#@#variant
0. 'coq/Coq_NArith_Nnat_N2Nat_id' 'h4/thm/toto/cpn_BIJ_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_clearbit_spec_prime'#@#variant 'h4/thm/real/REAL_SUB_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_le_mono' 'h4/thm/bit/TWOEXP_MONO2_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_lt_mono' 'h4/thm/integerRing/int_rewrites_tRRRRRRLRRRR'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_cancel_r' 'h4/thm/real/REAL_EQ_RADD_'
0. 'coq/Coq_NArith_BinNat_N_log2_le_mono' 'h4/thm/prim_rec/LESS_MONO_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_nonneg' 'h4/thm/integral/LT_0_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_cancel_l' 'h4/thm/integer/INT_EQ_LADD_'
0. 'coq/Coq_Reals_Exp_prop_exp_pos_pos'#@#variant 'h4/thm/extreal/le_inv_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_compare_xO_xO' 'h4/thm/toto/numeralOrd_6'
0. 'coq/Coq_ZArith_BinInt_Z_max_le_compat_r' 'h4/thm/integer/TINT_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Bool_Bool_negb_prop_intro' 'h4/thm/integer/INT_LE_NEGTOTAL_'#@#variant
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_iff' 'h4/thm/integer/INT_INJ_'
0. 'coq/Coq_Bool_Bool_eqb_true_iff' 'h4/thm/arithmetic/ABS_DIFF_EQ_0_'
0. 'coq/Coq_PArith_BinPos_Pos_add_cancel_r' 'h4/thm/complex/COMPLEX_EQ_RADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_lub_iff' 'h4/thm/extreal/max_le_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_le_mono_r' 'h4/thm/arithmetic/LE_ADD_RCANCEL_'
0. 'coq/Coq_Sets_Uniset_leb_refl' 'h4/thm/poly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_divide_xO_xO' 'h4/thm/numpair/tri_LT_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_neg_iff' 'h4/thm/patricia_casts/string_to_num_11_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_sub_le_add_r' 'h4/thm/rat/RAT_RSUB_LES_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_mod' 'h4/thm/integer/INT_QUOT_CALCULATE_0'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_pred_succ' 'h4/thm/bit/LOG2_TWOEXP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_pos_l'#@#variant 'h4/thm/transc/RPOW_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_quot_pos'#@#variant 'h4/thm/integer/INT_LTE_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_le_compat_l' 'h4/thm/realax/REAL_LT_IADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_1' 'h4/thm/transc/SQRT_0_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_pos_l'#@#variant 'h4/thm/rat/RAT_LES_LMUL_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_le_mono_r' 'h4/thm/integer/INT_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_succ_l' 'h4/thm/extreal/mul_lneg_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_nonneg_pos'#@#variant 'h4/thm/extreal/lte_mul_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_succ' 'h4/thm/transc/EXP_NEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mod_1_l'#@#variant 'h4/thm/transc/ONE_RPOW_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_le_trans' 'h4/thm/integer/INT_LTE_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_eq_mul_1'#@#variant 'h4/thm/arithmetic/ADD_EQ_0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gt_lt_iff' 'h4/thm/integer/INT_GT_CALCULATE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_1_r' 'h4/thm/HolSmt/r214_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_irrefl' 'h4/thm/realax/REAL_LT_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_nonneg' 'h4/thm/arithmetic/FACT_LESS_'
0. 'coq/Coq_Reals_Ratan_atan_right_inv' 'h4/thm/transc/ATN_TAN_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_1_mul_pos'#@#variant 'h4/thm/integer/INT_LTE_ADD_'#@#variant
0. 'coq/Coq_Reals_Rtrigo_calc_rad_deg' 'h4/thm/numeral/DIV2_BIT1_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_le_mono_r' 'h4/thm/arithmetic/LE_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_PositiveOrderedTypeBits_eqb_eq' 'h4/thm/quote/compare_index_equal_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_0_r' 'h4/thm/integer/INT_DIVIDES_0_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftl_mul_pow2'#@#variant 'h4/thm/frac/frac_sub_def_'
0. 'coq/Coq_Bool_Bool_orb_negb_r' 'h4/thm/rat/RAT_ADD_RINV_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_mul_le_mono_r' 'h4/thm/arithmetic/LESS_MONO_ADD_EQ_'
0. 'coq/Coq_Reals_Ratan_atan_right_inv' 'h4/thm/string/EXPLODE_IMPLODE_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_pred_of_succ_nat' 'h4/thm/ratRing/rat_ring_thms_e17'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_lt_mono_r' 'h4/thm/hreal/HRAT_LT_RADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_succ_r' 'h4/thm/frac/FRAC_AINV_RMUL_'
0. 'coq/Coq_Reals_R_sqrt_sqrt_le_1_alt' 'h4/thm/integer/TINT_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_setbit_spec_prime'#@#variant 'h4/thm/complex/complex_sub_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_nonneg_nonneg' 'h4/thm/realax/TREAL_LT_MUL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_divide_mono_l' 'h4/thm/real/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_sub_r' 'h4/thm/divides/DIVIDES_SUB_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_gt_lt_iff' 'h4/thm/arithmetic/GREATER_EQ_'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_null'#@#variant 'h4/thm/intExtension/INT_SGN_CLAUSES_e2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_1' 'h4/thm/transc/TAN_0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_succ_diag_r' 'h4/thm/prim_rec/LESS_SUC_SUC_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_odd_sub' 'h4/thm/integer/INT_SUB_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_le' 'h4/thm/integer/INT_LT_CALCULATE_0'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_antisymm' 'h4/thm/divides/DIVIDES_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_lcm_l' 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_0'
0. 'coq/Coq_ZArith_BinInt_Z_nle_gt' 'h4/thm/arithmetic/NOT_LESS_EQUAL_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_phi' 'h4/thm/integer/NUM_OF_INT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_le_mono' 'h4/thm/prim_rec/LESS_MONO_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_eq_mul_1'#@#variant 'h4/thm/arithmetic/ADD_EQ_0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_neq_0_lt_0' 'h4/thm/arithmetic/NOT_ZERO_LT_ZERO_'
0. 'coq/Coq_Reals_RIneq_cond_nonneg'#@#variant 'h4/thm/complex/MODU_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_le_compat_r' 'h4/thm/hrat/TRAT_MUL_WELLDEFINED_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_1_l' 'h4/thm/extreal/sub_lzero_'
0. 'coq/Coq_Arith_Lt_lt_0_neq'#@#variant 'h4/thm/intExtension/LESS_IMP_NOT_0_'#@#variant
0. 'coq/Coq_Reals_Rpower_exp_inv' 'h4/thm/divides/PRIMES_11_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_le_mono_l' 'h4/thm/arithmetic/ADD_MONO_LESS_EQ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_succ_diag_r' 'h4/thm/divides/INDEX_LESS_PRIMES_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_opp_l' 'h4/thm/extreal/mul_lneg_'
0. 'coq/Coq_ZArith_BinInt_Z_add_pred_r' 'h4/thm/arithmetic/ADD_SUC_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftr_div_pow2'#@#variant 'h4/thm/frac/frac_div_def_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_lt_cancel' 'h4/thm/arithmetic/LESS_MONO_REV_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pred_le_mono' 'h4/thm/hrat/TRAT_INV_WELLDEFINED_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_le_refl' 'h4/thm/hrat/TRAT_EQ_REFL_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_le_mono_l' 'h4/thm/arithmetic/LT_ADD_LCANCEL_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_iff' 'h4/thm/ieee/ccode_EQ_ccode_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_succ'#@#variant 'h4/thm/hrat/HRAT_SUCINT_e1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ldiff_m1_l'#@#variant 'h4/thm/HolSmt/r129_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_lub_lt_iff' 'h4/thm/util_prob/MAX_LE_X_'
0. 'coq/Coq_Reals_Rfunctions_pow_le'#@#variant 'h4/thm/integral/REAL_POW_LE_1_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_lcm_l' 'h4/thm/extreal/le_max1_'
0. 'coq/Coq_ZArith_BinInt_Z_negb_odd' 'h4/thm/integerRing/int_ring_thms_e17'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_opp' 'h4/thm/integer/INT_ABS_NEG_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_nonneg_pos'#@#variant 'h4/thm/extreal/lte_mul_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_pred_of_succ_nat' 'h4/thm/util_prob/lg_pow_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_double_size_level' 'h4/thm/quote/index_size_def_0'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_pred_l' 'h4/thm/extreal/mul_lneg_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_le_compat_r' 'h4/thm/arithmetic/LESS_MONO_MULT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_neg_neg' 'h4/thm/rat/RAT_LES0_LES0_ADD_'#@#variant
0. 'coq/Coq_QArith_QOrderedType_QOrder_lt_irrefl' 'h4/thm/rat/RAT_LES_REF_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_lt_iff' 'h4/thm/extreal/min_le_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_1_r'#@#variant 'h4/thm/arithmetic/ADD1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_lt_mono_l' 'h4/thm/realax/HREAL_LT_LADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_sub' 'h4/thm/arithmetic/ADD_SUB_'
0. 'coq/Coq_Sets_Uniset_seq_refl' 'h4/thm/Encode/biprefix_refl_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_add_le' 'h4/thm/real/ABS_TRIANGLE_'
0. 'coq/Coq_ZArith_BinInt_Z_lxor_m1_r'#@#variant 'h4/thm/arithmetic/PRE_SUB1_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_abs_neq' 'h4/thm/intExtension/INT_ABS_CALCULATE_NEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_inj_wd' 'h4/thm/integral/EQ_SUC_'
0. 'coq/Coq_ZArith_BinInt_Z_setbit_spec_prime'#@#variant 'h4/thm/integer/INT_SUB_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_nonneg' 'h4/thm/prim_rec/LESS_0_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftl_opp_r' 'h4/thm/frac/frac_sub_def_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_inj' 'h4/thm/num/INV_SUC_'
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_pos' 'h4/thm/transc/ATN_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lxor_eq_0_iff' 'h4/thm/rat/RAT_EQ_0SUB_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_1_r' 'h4/thm/integer/INT_SUB_REDUCE_0'
0. 'coq/Coq_PArith_BinPos_Pos_pred_succ' 'h4/thm/string/EXPLODE_IMPLODE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_lt' 'h4/thm/real/ABS_BOUNDS_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_nonneg_nonpos'#@#variant 'h4/thm/extreal/mul_lt_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_lt_mono_pos_l'#@#variant 'h4/thm/arithmetic/EXP_BASE_LT_MONO_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_le_mono_l' 'h4/thm/arithmetic/ADD_MONO_LESS_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_involutive' 'h4/thm/real/REAL_INV_INV_'
0. 'coq/Coq_Reals_RIneq_Rplus_gt_compat_l' 'h4/thm/real/REAL_LT_IADD_'
0. 'coq/Coq_ZArith_Znat_Zabs2Nat_id' 'h4/thm/string_num/n2s_s2n_'#@#variant
0. 'coq/Coq_ZArith_Znat_Zabs2Nat_inj_lt'#@#variant 'h4/thm/float/FLOAT_LT_'
0. 'coq/Coq_ZArith_BinInt_Z_div_same'#@#variant 'h4/thm/integer/INT_QUOT_ID_'#@#variant
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_div2' 'h4/thm/complex/COMPLEX_OF_REAL_INV_'#@#variant
0. 'coq/Coq_Strings_Ascii_ascii_nat_embedding' 'h4/thm/ieee/roundmode_BIJ_0'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_le_mono_r_iff'#@#variant 'h4/thm/logroot/LT_EXP_ISO_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rplus_le_compat_r' 'h4/thm/integer/TINT_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_lteq' 'h4/thm/extreal/le_lt_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_lt_iff' 'h4/thm/real/REAL_LE_MAX_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_odd_opp' 'h4/thm/complex/MODU_CONJ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gt_lt_iff' 'h4/thm/HolSmt/r103_'
0. 'coq/Coq_QArith_QArith_base_Qmult_le_r'#@#variant 'h4/thm/real/REAL_LT_RMUL_'#@#variant
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_l2i_i2l'#@#variant 'h4/thm/string_num/n2s_s2n_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_eqb' 'h4/thm/intto/pos_pos_thm_'
0. 'coq/Coq_NArith_BinNat_N_lt_nge' 'h4/thm/integer/int_le_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_le_compat_r' 'h4/thm/arithmetic/LESS_MONO_MULT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftl_opp_r' 'h4/thm/real/real_div_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sub_diag' 'h4/thm/real/REAL_SUB_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_negb_odd' 'h4/thm/util_prob/lg_pow_'#@#variant
0. 'coq/Coq_NArith_Ndigits_Pbit_Ptestbit' 'h4/thm/numRing/num_ring_thms_1'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qmult_lt_l'#@#variant 'h4/thm/real/REAL_LE_LMUL_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_1' 'h4/thm/rat/rat_0_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_1' 'h4/thm/transc/TAN_0_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_le_mono' 'h4/thm/integer/TINT_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_iff' 'h4/thm/binary_ieee/float_value_11_'
0. 'coq/Coq_Reals_Rtrigo_def_cos_sym' 'h4/thm/real/ABS_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_succ_le_mono' 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRL'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_pred' 'h4/thm/quote/index_size_def_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_lt_mono_l' 'h4/thm/hreal/HRAT_LT_LADD_'
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_1' 'h4/thm/real/REAL_ABS_0_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_le_mono' 'h4/thm/transc/EXP_MONO_LE_'
0. 'coq/Coq_Reals_Rpower_exp_Ropp' 'h4/thm/transc/EXP_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_1_r' 'h4/thm/rat/RAT_MUL_RZERO_'
0. 'coq/Coq_QArith_Qround_Qfloor_Z' 'h4/thm/ieee/float_tybij_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_add_r' 'h4/thm/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_le_mono_r' 'h4/thm/integer/INT_LE_RADD_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_1_l' 'h4/thm/integer/INT_ADD_CALCULATE_0'
0. 'coq/Coq_Init_Peano_plus_n_Sm' 'h4/thm/real/REAL_MUL_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_ge_le_iff' 'h4/thm/arithmetic/GREATER_EQ_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_is_pos'#@#variant 'h4/thm/integer/INT_POS_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_is_nonneg'#@#variant 'h4/thm/frac/FRAC_DNMPOS_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_wf_0' 'h4/thm/nets/DORDER_NGE_'
