7.01655644585 'coq/Coq_Sets_Integers_Integers_infinite'#@#variant 'hl/thm/Multivariate/metric/TRIVIAL_LIMIT_SEQUENTIALLY_'#@#variant
7.01655644585 'coq/Coq_Lists_List_length_zero_iff_nil' 'hl/thm/lists/LENGTH_EQ_NIL_'#@#variant
5.09007087279 'coq/Coq_Lists_List_rev_app_distr' 'hl/thm/lists/REVERSE_APPEND_'
5.09007087279 'coq/Coq_Lists_List_app_comm_cons' 'hl/thm/lists/APPEND_1'
5.09007087279 'coq/Coq_Lists_List_nil_cons' 'hl/thm/lists/NOT_CONS_NIL_'
5.09007087279 'coq/Coq_Lists_List_in_app_iff' 'hl/thm/lists/MEM_APPEND_'
5.09007087279 'coq/Coq_Lists_List_Exists_cons' 'hl/thm/lists/EX_1'
5.09007087279 'coq/Coq_Lists_List_Forall_forall' 'hl/thm/lists/ALL_MEM_'
5.09007087279 'coq/Coq_Lists_List_Exists_nil' 'hl/thm/lists/EX_0'
4.83110059916 'coq/Coq_Arith_Lt_lt_le_S' 'hl/thm/Library/analysis/LESS_OR_'
4.30218188765 'coq/Coq_ZArith_BinInt_Z_lt_mul_0'#@#variant 'hl/thm/Library/calc_real/REAL_OPPSIGN_LEMMA_'#@#variant
4.30218188765 'coq/Coq_ZArith_Zquot_Zquot_le_lower_bound'#@#variant 'hl/thm/Library/analysis/REAL_LE_RDIV_'#@#variant
4.1612835555 'coq/Coq_Sets_Integers_Integers_infinite' 'hl/thm/Multivariate/metric/TRIVIAL_LIMIT_SEQUENTIALLY_'
4.03378572969 'coq/Coq_Lists_List_Forall_Exists_neg' 'hl/thm/lists/NOT_EX_'
4.03378572969 'coq/Coq_Lists_List_app_nil_end' 'hl/thm/lists/APPEND_NIL_'
4.03378572969 'coq/Coq_Arith_Wf_nat_well_founded_gtof' 'hl/thm/wf/WF_MEASURE_'
4.03378572969 'coq/Coq_Lists_List_app_nil_r' 'hl/thm/lists/APPEND_NIL_'
4.03378572969 'coq/Coq_Lists_List_app_nil_l' 'hl/thm/lists/APPEND_0'
3.96137259436 'coq/Coq_ZArith_Zquot_Zquot_le_upper_bound'#@#variant 'hl/thm/Library/analysis/REAL_LE_LDIV_'#@#variant
3.93959285483 'coq/Coq_Lists_List_map_id' 'hl/thm/lists/MAP_ID_'
3.75932697196 'coq/Coq_Reals_Cos_plus_cos_plus' 'hl/thm/Complex/complex_transc/CCOS_ADD_'
3.70699295029 'coq/Coq_Reals_RIneq_Rinv_r' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RINV_'#@#variant
3.70699295029 'coq/Coq_Reals_Raxioms_Rinv_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LINV_'#@#variant
3.70699295029 'coq/Coq_Reals_Rfunctions_tech_pow_Rmult' 'hl/thm/Complex/complexnumbers/COMPLEX_POLY_CLAUSES_9'
3.70699295029 'coq/Coq_Reals_RIneq_Rinv_l_sym' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LINV_'#@#variant
3.70699295029 'coq/Coq_Reals_RIneq_Rinv_r_sym' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RINV_'#@#variant
3.70699295029 'coq/Coq_Reals_Rfunctions_pow_O' 'hl/thm/Complex/complexnumbers/COMPLEX_POLY_CLAUSES_8'#@#variant
3.50827822293 'coq/Coq_Structures_OrdersEx_Nat_as_DT_div_mul_le' 'hl/thm/arith/MULT_DIV_LE_'#@#variant
3.34774821526 'coq/Coq_Reals_Rtrigo1_sin_plus' 'hl/thm/Complex/complex_transc/CSIN_ADD_'
3.21468382001 'coq/Coq_Numbers_Cyclic_DoubleCyclic_DoubleBase_wwB_pos'#@#variant 'hl/thm/Multivariate/transcendentals/RE_CASN_BOUNDS_/0'#@#variant
3.12205347151 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_eq_sym_iff' 'hl/thm/realax/NADD_EQ_SYM_'
3.12205347151 'coq/Coq_Lists_List_Forall_impl' 'hl/thm/lists/MONO_ALL_'
3.04808511051 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_1_r'#@#variant 'hl/thm/Library/transc/LESS_1_'#@#variant
3.04808511051 'coq/Coq_Structures_OrdersEx_Nat_as_DT_div_small_iff' 'hl/thm/arith/DIV_EQ_0_'#@#variant
3.04808511051 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_1_r'#@#variant 'hl/thm/Library/transc/LESS_1_'#@#variant
3.04808511051 'coq/Coq_Arith_PeanoNat_Nat_lt_1_r'#@#variant 'hl/thm/Library/transc/LESS_1_'#@#variant
2.99482937504 'coq/Coq_Structures_OrdersEx_Nat_as_DT_div_mod' 'hl/thm/arith/DIVISION_SIMP_1'#@#variant
2.92091992434 'coq/Coq_Structures_OrdersEx_Nat_as_DT_div_add_l' 'hl/thm/arith/DIV_MULT_ADD_'#@#variant
2.90861238483 'coq/Coq_Reals_Rfunctions_pow_1'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_POW_1_'#@#variant
2.90861238483 'coq/Coq_Reals_Rfunctions_Rpow_mult_distr' 'hl/thm/Complex/complexnumbers/COMPLEX_POW_MUL_'
2.90861238483 'coq/Coq_ZArith_BinInt_Z_abs_pos'#@#variant 'hl/thm/real/REAL_ABS_NZ_'#@#variant
2.79300251124 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sub_0_le' 'hl/thm/arith/SUB_EQ_0_'#@#variant
2.78024471272 'coq/Coq_Structures_OrdersEx_Nat_as_DT_div_le_upper_bound' 'hl/thm/arith/LE_LDIV_'#@#variant
2.69520286373 'coq/Coq_ZArith_Zorder_Zmult_lt_0_le_reg_r'#@#variant 'hl/thm/real/REAL_LE_RCANCEL_IMP_'#@#variant
2.69520286373 'coq/Coq_Arith_Lt_le_lt_n_Sm' 'hl/thm/Library/analysis/LESS_EQ_IMP_LESS_SUC_'
2.69520286373 'coq/Coq_ZArith_Zorder_Zmult_lt_reg_r'#@#variant 'hl/thm/real/REAL_LT_RCANCEL_IMP_'#@#variant
2.68919048646 'coq/Coq_ZArith_BinInt_Zplus_minus' 'hl/thm/real/REAL_SUB_ADD2_'
2.68919048646 'coq/Coq_Arith_Div2_double_S' 'hl/thm/nums/BIT0_DEF_1'
2.68919048646 'coq/Coq_Reals_RIneq_Rplus_minus' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_ADD2_'
2.61109541954 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lor_0_l' 'hl/thm/realax/NADD_ADD_LID_'#@#variant
2.54503543639 'coq/Coq_Arith_PeanoNat_Nat_neq_0_lt_0'#@#variant 'hl/thm/arith/LT_NZ_'#@#variant
2.54503543639 'coq/Coq_Structures_OrdersEx_Nat_as_OT_neq_0_lt_0'#@#variant 'hl/thm/arith/LT_NZ_'#@#variant
2.54503543639 'coq/Coq_Structures_OrdersEx_Nat_as_DT_neq_0_lt_0'#@#variant 'hl/thm/arith/LT_NZ_'#@#variant
2.54503543639 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_sub_eq_r' 'hl/thm/Library/prime/ADD_IMP_SUB_'
2.53777265217 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sub_add' 'hl/thm/arith/SUB_ADD_'
2.53777265217 'coq/Coq_ZArith_BinInt_Z_add_move_0_l' 'hl/thm/real/REAL_RNEG_UNIQ_'#@#variant
2.53777265217 'coq/Coq_ZArith_Zsqrt_compat_Zsqrt_le'#@#variant 'hl/thm/Library/transc/SQRT_MONO_LE_'#@#variant
2.53777265217 'coq/Coq_ZArith_BinInt_Z_add_move_0_r' 'hl/thm/real/REAL_LNEG_UNIQ_'#@#variant
2.53777265217 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_0' 'hl/thm/realax/NADD_INV_0_'#@#variant
2.45845618097 'coq/Coq_ZArith_Zgcd_alt_fibonacci_incr' 'hl/thm/Library/calc_real/REAL_MONO_POW2_'#@#variant
2.41555029958 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_2_r'#@#variant 'hl/thm/arith/EXP_2_'#@#variant
2.41555029958 'coq/Coq_Lists_List_rev_involutive' 'hl/thm/lists/REVERSE_REVERSE_'
2.41555029958 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mod_le' 'hl/thm/arith/MOD_LE_'#@#variant
2.37964679467 'coq/Coq_ZArith_BinInt_Z2Pos_inj_succ_double'#@#variant 'hl/thm/Multivariate/transcendentals/CX_LOG_'#@#variant
2.36386276122 'coq/Coq_Reals_Rfunctions_pow1' 'hl/thm/Complex/complexnumbers/COMPLEX_POW_ONE_'#@#variant
2.36386276122 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mod_divide' 'hl/thm/Library/prime/DIVIDES_MOD_'#@#variant
2.36386276122 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_land_lor_distr_l' 'hl/thm/realax/NADD_RDISTRIB_'
2.31711630185 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_succ_l' 'hl/thm/arith/MULT_1'
2.27456828483 'coq/Coq_ZArith_BinInt_Z_quot_abs' 'hl/thm/Library/analysis/ABS_DIV_'#@#variant
2.27456828483 'coq/Coq_Structures_OrdersEx_Nat_as_DT_div_small' 'hl/thm/arith/DIV_LT_'#@#variant
2.25039214713 'coq/Coq_Reals_RIneq_Ropp_minus_distr_prime' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_SUB_'
2.25039214713 'coq/Coq_Reals_RIneq_Ropp_minus_distr' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_SUB_'
2.18016562189 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_succ_r' 'hl/thm/arith/LE_1'
2.18016562189 'coq/Coq_ZArith_BinInt_Z_mul_cancel_l' 'hl/thm/Library/analysis/REAL_EQ_LMUL2_'#@#variant
2.18016562189 'coq/Coq_Arith_PeanoNat_Nat_le_succ_r' 'hl/thm/arith/LE_1'
2.18016562189 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_succ_r' 'hl/thm/arith/LE_1'
2.13597189387 'coq/Coq_Arith_PeanoNat_Nat_le_succ_l' 'hl/thm/arith/LE_SUC_LT_'
2.13597189387 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_succ_l' 'hl/thm/arith/LE_SUC_LT_'
2.13597189387 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_succ_l' 'hl/thm/arith/LE_SUC_LT_'
2.13182902034 'coq/Coq_ZArith_Znat_nat_N_Z' 'hl/thm/int/int_of_num_th_'
2.11894389269 'coq/Coq_Arith_Lt_lt_0_neq'#@#variant 'hl/thm/arith/LE_1_2'#@#variant
2.11894389269 'coq/Coq_Numbers_BigNumPrelude_Zlt0_not_eq'#@#variant 'hl/thm/real/REAL_POS_NZ_'#@#variant
2.10736755138 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_succ_r' 'hl/thm/arith/LT_SUC_LE_'
2.10736755138 'coq/Coq_Arith_PeanoNat_Nat_lt_succ_r' 'hl/thm/arith/LT_SUC_LE_'
2.10736755138 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_succ_r' 'hl/thm/arith/LT_SUC_LE_'
2.10736755138 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_divide_cancel_l' 'hl/thm/Library/prime/DIVIDES_LMUL2_EQ_'#@#variant
2.10736755138 'coq/Coq_NArith_BinNat_N_mul_divide_cancel_l' 'hl/thm/Library/integer/INT_DIVIDES_LMUL2_EQ_'#@#variant
2.10736755138 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_land_lor_distr_r' 'hl/thm/realax/NADD_LDISTRIB_'
2.10736755138 'coq/Coq_Reals_Rfunctions_RPow_abs' 'hl/thm/Complex/complexnumbers/CNJ_POW_'
2.06495965576 'coq/Coq_ZArith_BinInt_Z_mul_reg_r' 'hl/thm/real/REAL_EQ_RCANCEL_IMP_'#@#variant
2.05559517358 'coq/Coq_NArith_BinNat_N_mul_nonneg_cancel_r'#@#variant 'hl/thm/int/INT_LE_MUL_EQ_1'#@#variant
2.05559517358 'coq/Coq_ZArith_BinInt_Z_mul_nonneg_cancel_r'#@#variant 'hl/thm/real/REAL_LE_MUL_EQ_1'#@#variant
2.05559517358 'coq/Coq_NArith_BinNat_N_mul_nonneg_cancel_l'#@#variant 'hl/thm/int/INT_LE_MUL_EQ_0'#@#variant
2.05559517358 'coq/Coq_ZArith_BinInt_Z_le_log2_log2_up' 'hl/thm/Multivariate/transcendentals/REAL_EXP_LE_X_'#@#variant
2.05559517358 'coq/Coq_ZArith_BinInt_Z_mul_nonneg_cancel_l'#@#variant 'hl/thm/real/REAL_LE_MUL_EQ_0'#@#variant
2.01689286485 'coq/Coq_Structures_OrdersEx_Nat_as_DT_Even_or_Odd' 'hl/thm/arith/EVEN_OR_ODD_'
2.01689286485 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_eq_0_iff' 'hl/thm/arith/EXP_EQ_0_'#@#variant
2.00987889494 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_mod_idemp_r' 'hl/thm/arith/MOD_MULT_RMOD_'#@#variant
1.97373573112 'coq/Coq_ZArith_Zpower_two_p_correct'#@#variant 'hl/thm/Library/analysis/REAL_INV_1OVER_'#@#variant
1.97373573112 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mod_same' 'hl/thm/arith/MOD_REFL_'#@#variant
1.97373573112 'coq/Coq_ZArith_BinInt_Z_mul_reg_l' 'hl/thm/Library/analysis/REAL_EQ_LMUL_IMP_'#@#variant
1.97373573112 'coq/Coq_ZArith_BinInt_Z_mul_reg_l' 'hl/thm/real/REAL_EQ_LCANCEL_IMP_'#@#variant
1.97373573112 'coq/Coq_ZArith_Zpower_two_p_equiv'#@#variant 'hl/thm/Library/analysis/REAL_INV_1OVER_'#@#variant
1.97373573112 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mod_mod' 'hl/thm/arith/MOD_MOD_REFL_'#@#variant
1.97045751644 'coq/Coq_ZArith_BinInt_Z_opp_neg_pos'#@#variant 'hl/thm/real/REAL_NEG_LT0_'#@#variant
1.97045751644 'coq/Coq_ZArith_BinInt_Z_opp_nonpos_nonneg'#@#variant 'hl/thm/real/REAL_NEG_LE0_'#@#variant
1.97045751644 'coq/Coq_ZArith_BinInt_Z_opp_pos_neg'#@#variant 'hl/thm/real/REAL_NEG_GT0_'#@#variant
1.97045751644 'coq/Coq_ZArith_BinInt_Z_opp_nonneg_nonpos'#@#variant 'hl/thm/real/REAL_NEG_GE0_'#@#variant
1.96910874821 'coq/Coq_Structures_OrdersEx_Nat_as_DT_div_le_mono' 'hl/thm/arith/DIV_MONO_'#@#variant
1.96910874821 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_lt_mono_l' 'hl/thm/arith/EXP_MONO_LT_IMP_'#@#variant
1.93470421089 'coq/Coq_ZArith_BinInt_Z_abs_eq_iff'#@#variant 'hl/thm/real/REAL_ABS_REFL_'#@#variant
1.93244023966 'coq/Coq_NArith_BinNat_N_add_nonneg_pos'#@#variant 'hl/thm/int/INT_LET_ADD_'#@#variant
1.93244023966 'coq/Coq_ZArith_BinInt_Z_add_nonneg_pos'#@#variant 'hl/thm/realarith/REAL_LET_ADD_'#@#variant
1.8992180385 'coq/Coq_ZArith_BinInt_Z_lt_0_sub'#@#variant 'hl/thm/realarith/REAL_SUB_LT_'#@#variant
1.8992180385 'coq/Coq_ZArith_BinInt_Z_le_0_sub'#@#variant 'hl/thm/realarith/REAL_SUB_LE_'#@#variant
1.8992180385 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_add_r' 'hl/thm/arith/EXP_ADD_'
1.86666026881 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_wf_0' 'hl/thm/wf/WF_num_'
1.86666026881 'coq/Coq_Arith_Wf_nat_lt_wf' 'hl/thm/wf/WF_num_'
1.86666026881 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_wf_0' 'hl/thm/wf/WF_num_'
1.86666026881 'coq/Coq_Arith_PeanoNat_Nat_lt_wf_0' 'hl/thm/wf/WF_num_'
1.84114608549 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_succ_r_prime' 'hl/thm/arith/EXP_1'
1.84114608549 'coq/Coq_ZArith_BinInt_Z_abs_sub_triangle' 'hl/thm/real/REAL_SUB_ABS_'
1.8091030762 'coq/Coq_ZArith_BinInt_Z_add_simpl_l' 'hl/thm/real/REAL_ADD_SUB_'
1.80495168899 'coq/Coq_Lists_List_app_assoc_reverse' 'hl/thm/lists/APPEND_ASSOC_'
1.80495168899 'coq/Coq_Lists_List_app_assoc' 'hl/thm/lists/APPEND_ASSOC_'
1.80347315154 'coq/Coq_ZArith_BinInt_Z_add_opp_diag_l' 'hl/thm/realax/REAL_ADD_LINV_'#@#variant
1.80347315154 'coq/Coq_Reals_RIneq_Rplus_opp_l' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LINV_'#@#variant
1.79184577627 'coq/Coq_Reals_Rpower_exp_Ropp' 'hl/thm/Complex/complex_transc/CEXP_NEG_'
1.78345550205 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_0_r' 'hl/thm/arith/LE_0'#@#variant
1.78345550205 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_0_r' 'hl/thm/arith/LE_0'#@#variant
1.78345550205 'coq/Coq_Arith_PeanoNat_Nat_le_0_r' 'hl/thm/Library/prime/LESS_EQ_0_'#@#variant
1.78345550205 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_0_r' 'hl/thm/Library/prime/LESS_EQ_0_'#@#variant
1.78345550205 'coq/Coq_Arith_PeanoNat_Nat_le_0_r' 'hl/thm/arith/LE_0'#@#variant
1.78345550205 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_0_r' 'hl/thm/Library/prime/LESS_EQ_0_'#@#variant
1.73949890016 'coq/Coq_ZArith_BinInt_Z_add_le_lt_mono' 'hl/thm/real/REAL_LET_ADD2_'
1.73949890016 'coq/Coq_ZArith_BinInt_Z_abs_le' 'hl/thm/real/REAL_ABS_BOUNDS_'
1.73949890016 'coq/Coq_ZArith_BinInt_Z_abs_le' 'hl/thm/real/REAL_BOUNDS_LE_'
1.73949890016 'coq/Coq_ZArith_BinInt_Z_abs_lt' 'hl/thm/real/REAL_BOUNDS_LT_'
1.73949890016 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_le_lt_mono' 'hl/thm/arith/LET_ADD2_'
1.73949890016 'coq/Coq_NArith_BinNat_N_add_le_lt_mono' 'hl/thm/int/INT_LET_ADD2_'
1.71634398974 'coq/Coq_Reals_Rtrigo_calc_sqrt2_neq_0'#@#variant 'hl/thm/Complex/complex_transc/COMPLEX_II_NZ_'#@#variant
1.71634398974 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_0_r' 'hl/thm/Library/prime/DIVIDES_0_'#@#variant
1.71634398974 'coq/Coq_NArith_BinNat_N_divide_0_r' 'hl/thm/Library/integer/INT_DIVIDES_0_'#@#variant
1.71198571924 'coq/Coq_ZArith_BinInt_Z_add_lt_le_mono' 'hl/thm/real/REAL_LTE_ADD2_'
1.71198571924 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_lt_le_mono' 'hl/thm/arith/LTE_ADD2_'
1.71198571924 'coq/Coq_ZArith_BinInt_Z_quot_same'#@#variant 'hl/thm/real/REAL_DIV_REFL_'#@#variant
1.71198571924 'coq/Coq_NArith_BinNat_N_add_lt_le_mono' 'hl/thm/int/INT_LTE_ADD2_'
1.71198571924 'coq/Coq_Structures_OrdersEx_Nat_as_DT_div_same'#@#variant 'hl/thm/arith/DIV_REFL_'#@#variant
1.67895570412 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_mod' 'hl/thm/arith/MOD_MULT_MOD2_'#@#variant
1.67895570412 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_mod_idemp_l' 'hl/thm/arith/MOD_MULT_LMOD_'#@#variant
1.67895570412 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_mod' 'hl/thm/arith/MOD_ADD_MOD_'#@#variant
1.67817263135 'coq/Coq_Structures_OrdersEx_Nat_as_OT_nlt_0_r' 'hl/thm/Library/analysis/NOT_LESS_0_'#@#variant
1.67817263135 'coq/Coq_NArith_BinNat_N_square_nonneg'#@#variant 'hl/thm/int/INT_LE_SQUARE_'#@#variant
1.67817263135 'coq/Coq_ZArith_BinInt_Z_square_nonneg'#@#variant 'hl/thm/realarith/REAL_LE_SQUARE_'#@#variant
1.67817263135 'coq/Coq_Structures_OrdersEx_Nat_as_DT_nlt_0_r' 'hl/thm/Library/prime/NOT_LESS_0_'#@#variant
1.67817263135 'coq/Coq_Structures_OrdersEx_Nat_as_OT_nlt_0_r' 'hl/thm/Library/prime/NOT_LESS_0_'#@#variant
1.67817263135 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_0_mul_prime'#@#variant 'hl/thm/arith/LT_MULT_'#@#variant
1.67817263135 'coq/Coq_Structures_OrdersEx_Nat_as_DT_nlt_0_r' 'hl/thm/Library/analysis/NOT_LESS_0_'#@#variant
1.67817263135 'coq/Coq_Arith_PeanoNat_Nat_nlt_0_r' 'hl/thm/Library/analysis/NOT_LESS_0_'#@#variant
1.67817263135 'coq/Coq_Arith_PeanoNat_Nat_nlt_0_r' 'hl/thm/Library/prime/NOT_LESS_0_'#@#variant
1.64413110547 'coq/Coq_ZArith_BinInt_Z_pow_nonneg'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_POS_LE_'#@#variant
1.63575083065 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sub_succ_r' 'hl/thm/arith/SUB_1'
1.61351429188 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mod_small' 'hl/thm/arith/MOD_LT_'
1.60438576625 'coq/Coq_Reals_Raxioms_Rplus_opp_r' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_RINV_'#@#variant
1.60438576625 'coq/Coq_ZArith_BinInt_Z_add_opp_diag_r' 'hl/thm/calc_int/REAL_ADD_RINV_'#@#variant
1.59931426223 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_lt_succ_r' 'hl/thm/Library/analysis/LESS_SUC_'
1.59931426223 'coq/Coq_Arith_PeanoNat_Nat_lt_lt_succ_r' 'hl/thm/Library/analysis/LESS_SUC_'
1.59931426223 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_lt_succ_r' 'hl/thm/Library/analysis/LESS_SUC_'
1.58577501421 'coq/Coq_Structures_OrdersEx_Nat_as_DT_eq_0_gt_0_cases'#@#variant 'hl/thm/arith/LE_1_0'#@#variant
1.58577501421 'coq/Coq_Arith_PeanoNat_Nat_eq_0_gt_0_cases'#@#variant 'hl/thm/arith/LE_1_0'#@#variant
1.58577501421 'coq/Coq_Arith_PeanoNat_Nat_eq_0_gt_0_cases'#@#variant 'hl/thm/Library/analysis/LESS_0_CASES_'#@#variant
1.58577501421 'coq/Coq_Arith_Lt_neq_0_lt'#@#variant 'hl/thm/Library/prime/LESS_0_CASES_'#@#variant
1.58577501421 'coq/Coq_Structures_OrdersEx_Nat_as_DT_eq_0_gt_0_cases'#@#variant 'hl/thm/Library/prime/LESS_0_CASES_'#@#variant
1.58577501421 'coq/Coq_Structures_OrdersEx_Nat_as_OT_eq_0_gt_0_cases'#@#variant 'hl/thm/arith/LE_1_0'#@#variant
1.58577501421 'coq/Coq_ZArith_BinInt_Z_opp_le_mono' 'hl/thm/calc_int/REAL_LE_NEG2_'
1.58577501421 'coq/Coq_Arith_Lt_neq_0_lt'#@#variant 'hl/thm/arith/LE_1_0'#@#variant
1.58577501421 'coq/Coq_Structures_OrdersEx_Nat_as_OT_eq_0_gt_0_cases'#@#variant 'hl/thm/Library/analysis/LESS_0_CASES_'#@#variant
1.58577501421 'coq/Coq_Structures_OrdersEx_Nat_as_DT_eq_0_gt_0_cases'#@#variant 'hl/thm/Library/analysis/LESS_0_CASES_'#@#variant
1.58577501421 'coq/Coq_ZArith_BinInt_Z_opp_lt_mono' 'hl/thm/real/REAL_LT_NEG_'
1.58577501421 'coq/Coq_Arith_PeanoNat_Nat_eq_0_gt_0_cases'#@#variant 'hl/thm/Library/prime/LESS_0_CASES_'#@#variant
1.58577501421 'coq/Coq_Structures_OrdersEx_Nat_as_OT_eq_0_gt_0_cases'#@#variant 'hl/thm/Library/prime/LESS_0_CASES_'#@#variant
1.58577501421 'coq/Coq_Arith_Lt_neq_0_lt'#@#variant 'hl/thm/Library/analysis/LESS_0_CASES_'#@#variant
1.57284584078 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_neq' 'hl/thm/arith/LT_LE_'
1.57284584078 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_neq' 'hl/thm/arith/LT_LE_'
1.57284584078 'coq/Coq_NArith_BinNat_N_le_neq' 'hl/thm/int/INT_LT_LE_'
1.57284584078 'coq/Coq_Arith_PeanoNat_Nat_le_neq' 'hl/thm/arith/LT_LE_'
1.57284584078 'coq/Coq_ZArith_BinInt_Z_le_neq' 'hl/thm/realarith/REAL_LT_LE_'
1.56601598821 'coq/Coq_ZArith_BinInt_Z_abs_triangle' 'hl/thm/real/REAL_ABS_TRIANGLE_'
1.56601598821 'coq/Coq_NArith_BinNat_N_sqrt_add_le' 'hl/thm/int/INT_ABS_TRIANGLE_'
1.5418111237 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_divide_cancel_r' 'hl/thm/Library/prime/DIVIDES_RMUL2_EQ_'#@#variant
1.5418111237 'coq/Coq_NArith_BinNat_N_mul_divide_cancel_r' 'hl/thm/Library/integer/INT_DIVIDES_RMUL2_EQ_'#@#variant
1.51153338598 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_1_r'#@#variant 'hl/thm/arith/ADD1_'#@#variant
1.42944313039 'coq/Coq_ZArith_BinInt_Z_mul_pos_cancel_l'#@#variant 'hl/thm/real/REAL_LT_MUL_EQ_0'#@#variant
1.42944313039 'coq/Coq_NArith_BinNat_N_mul_pos_cancel_l'#@#variant 'hl/thm/int/INT_LT_MUL_EQ_0'#@#variant
1.42944313039 'coq/Coq_NArith_BinNat_N_divide_add_cancel_r' 'hl/thm/Library/integer/INT_DIVIDES_ADD_REVR_'
1.42944313039 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_add_cancel_r' 'hl/thm/Library/prime/DIVIDES_ADD_REVR_'
1.41525423621 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_mul_r' 'hl/thm/Library/prime/DIVIDES_LMUL_'
1.41525423621 'coq/Coq_NArith_BinNat_N_divide_mul_r' 'hl/thm/Library/integer/INT_DIVIDES_LMUL_'
1.40385040006 'coq/Coq_ZArith_BinInt_Z_mul_le_mono_nonneg_r'#@#variant 'hl/thm/Library/analysis/REAL_LE_RMUL_IMP_'#@#variant
1.40385040006 'coq/Coq_ZArith_Zorder_Zmult_le_compat_r'#@#variant 'hl/thm/real/REAL_LE_RMUL_'#@#variant
1.40385040006 'coq/Coq_ZArith_Zorder_Zmult_le_compat_r'#@#variant 'hl/thm/Library/analysis/REAL_LE_RMUL_IMP_'#@#variant
1.40385040006 'coq/Coq_ZArith_BinInt_Z_mul_le_mono_nonneg_r'#@#variant 'hl/thm/real/REAL_LE_RMUL_'#@#variant
1.40385040006 'coq/Coq_ZArith_Zorder_Zmult_lt_compat_r'#@#variant 'hl/thm/real/REAL_LT_RMUL_'#@#variant
1.40385040006 'coq/Coq_NArith_BinNat_N_mul_le_mono_nonneg_r'#@#variant 'hl/thm/int/INT_LE_RMUL_'#@#variant
1.38919896711 'coq/Coq_NArith_BinNat_N_divide_mul_l' 'hl/thm/Library/integer/INT_DIVIDES_RMUL_'
1.38919896711 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_mul_l' 'hl/thm/Library/prime/DIVIDES_RMUL_'
1.38919896711 'coq/Coq_ZArith_BinInt_Z_sub_move_0_r' 'hl/thm/realarith/REAL_SUB_0_'#@#variant
1.38919896711 'coq/Coq_ZArith_BinInt_Z_sub_move_r' 'hl/thm/real/REAL_EQ_SUB_RADD_'
1.38919896711 'coq/Coq_ZArith_BinInt_Z_sub_move_r' 'hl/thm/real/REAL_EQ_SUB_LADD_'
1.37591784645 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_0_r'#@#variant 'hl/thm/arith/EXP_0'#@#variant
1.37591784645 'coq/Coq_ZArith_BinInt_Z_pow_0_r'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_0_'#@#variant
1.37591784645 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mod_1_r'#@#variant 'hl/thm/arith/MOD_1_'#@#variant
1.37161564708 'coq/Coq_ZArith_BinInt_Z_mul_le_mono_pos_r'#@#variant 'hl/thm/real/REAL_LE_RMUL_EQ_'#@#variant
1.37161564708 'coq/Coq_ZArith_BinInt_Z_mul_lt_mono_pos_r'#@#variant 'hl/thm/real/REAL_LT_RMUL_EQ_'#@#variant
1.37161564708 'coq/Coq_NArith_BinNat_N_mul_lt_mono_pos_r'#@#variant 'hl/thm/int/INT_LT_RMUL_EQ_'#@#variant
1.36186652389 'coq/Coq_NArith_BinNat_N_lt_gt_cases' 'hl/thm/int/INT_NOT_EQ_'
1.36186652389 'coq/Coq_ZArith_BinInt_Z_lt_gt_cases' 'hl/thm/real/REAL_NOT_EQ_'
1.35493877575 'coq/Coq_ZArith_BinInt_Z_mul_pos_cancel_r'#@#variant 'hl/thm/real/REAL_LT_MUL_EQ_1'#@#variant
1.35493877575 'coq/Coq_NArith_BinNat_N_mul_pos_cancel_r'#@#variant 'hl/thm/int/INT_LT_MUL_EQ_1'#@#variant
1.33490455055 'coq/Coq_ZArith_Znat_Nat2Z_inj_ge' 'hl/thm/real/REAL_OF_NUM_GE_'
1.33490455055 'coq/Coq_ZArith_Znat_Nat2Z_inj_lt' 'hl/thm/real/REAL_OF_NUM_LT_'
1.33490455055 'coq/Coq_ZArith_Znat_N2Z_inj_ge' 'hl/thm/int/int_ge_'
1.33490455055 'coq/Coq_ZArith_Znat_N2Z_inj_le' 'hl/thm/int/int_le_'
1.33490455055 'coq/Coq_ZArith_Znat_Nat2Z_inj_le' 'hl/thm/realax/REAL_OF_NUM_LE_'
1.33490455055 'coq/Coq_ZArith_Znat_N2Z_inj_gt' 'hl/thm/int/int_gt_'
1.33490455055 'coq/Coq_ZArith_Znat_N2Z_inj_lt' 'hl/thm/int/int_lt_'
1.33490455055 'coq/Coq_ZArith_Znat_Nat2Z_inj_gt' 'hl/thm/real/REAL_OF_NUM_GT_'
1.31640308651 'coq/Coq_ZArith_Zorder_Zmult_le_compat'#@#variant 'hl/thm/real/REAL_LE_MUL2_'#@#variant
1.31640308651 'coq/Coq_ZArith_BinInt_Z_mul_le_mono_nonneg'#@#variant 'hl/thm/real/REAL_LE_MUL2_'#@#variant
1.31640308651 'coq/Coq_ZArith_BinInt_Z_mul_lt_mono_nonneg'#@#variant 'hl/thm/Library/analysis/REAL_LT_MUL2_ALT_'#@#variant
1.31640308651 'coq/Coq_ZArith_Zorder_Zmult_lt_compat'#@#variant 'hl/thm/Library/analysis/REAL_LT_MUL2_ALT_'#@#variant
1.31640308651 'coq/Coq_NArith_BinNat_N_add_pos_nonneg'#@#variant 'hl/thm/int/INT_LTE_ADD_'#@#variant
1.31640308651 'coq/Coq_ZArith_BinInt_Z_add_pos_nonneg'#@#variant 'hl/thm/realarith/REAL_LTE_ADD_'#@#variant
1.31640308651 'coq/Coq_ZArith_BinInt_Z_mul_lt_mono_nonneg'#@#variant 'hl/thm/real/REAL_LT_MUL2_'#@#variant
1.31640308651 'coq/Coq_ZArith_Zorder_Zmult_le_compat'#@#variant 'hl/thm/Library/analysis/REAL_LE_MUL2V_'#@#variant
1.31640308651 'coq/Coq_ZArith_BinInt_Z_mul_le_mono_nonneg'#@#variant 'hl/thm/Library/analysis/REAL_LE_MUL2V_'#@#variant
1.31640308651 'coq/Coq_ZArith_Zorder_Zmult_lt_compat'#@#variant 'hl/thm/real/REAL_LT_MUL2_'#@#variant
1.31623412348 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lor_assoc' 'hl/thm/realax/NADD_ADD_ASSOC_'
1.31623412348 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_land_assoc' 'hl/thm/realax/NADD_MUL_ASSOC_'
1.30404796853 'coq/Coq_NArith_Nnat_Nat2N_id' 'hl/thm/int/NUM_OF_INT_OF_NUM_'
1.30404796853 'coq/Coq_ZArith_Znat_Zabs2N_id' 'hl/thm/int/int_abstr_'
1.30404796853 'coq/Coq_QArith_Qround_Qceiling_Z' 'hl/thm/Multivariate/vectors/LIFT_DROP_1'#@#variant
1.30404796853 'coq/Coq_ZArith_Znat_Zabs2N_id' 'hl/thm/Library/floor/INT_OF_REAL_OF_INT_'
1.2992402043 'coq/Coq_NArith_Nnat_Nat2N_inj_iff' 'hl/thm/int/INT_OF_NUM_EQ_'
1.2992402043 'coq/Coq_Arith_Lt_lt_not_le' 'hl/thm/arith/LTE_ANTISYM_'
1.2992402043 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lor_comm' 'hl/thm/realax/NADD_ADD_SYM_'
1.2992402043 'coq/Coq_ZArith_Zorder_Zlt_not_le' 'hl/thm/realarith/REAL_LTE_ANTISYM_'
1.2992402043 'coq/Coq_ZArith_Znat_N2Z_inj_iff' 'hl/thm/int/int_eq_'
1.2992402043 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_land_comm' 'hl/thm/realax/NADD_MUL_SYM_'
1.2992402043 'coq/Coq_ZArith_Zorder_Zle_not_lt' 'hl/thm/real/REAL_LET_ANTISYM_'
1.2992402043 'coq/Coq_Arith_Lt_le_not_lt' 'hl/thm/arith/LET_ANTISYM_'
1.2992402043 'coq/Coq_ZArith_Znat_Nat2Z_inj_iff' 'hl/thm/realax/REAL_OF_NUM_EQ_'
1.2869559786 'coq/Coq_Reals_Exp_prop_exp_plus' 'hl/thm/Complex/complex_transc/CEXP_ADD_'
1.28532963576 'coq/Coq_ZArith_BinInt_Z_eq_opp_r' 'hl/thm/real/REAL_NEG_EQ_'
1.28532963576 'coq/Coq_ZArith_BinInt_Z_eq_opp_l' 'hl/thm/real/REAL_NEG_EQ_'
1.28354100159 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sub_succ' 'hl/thm/arith/SUB_SUC_'
1.28354100159 'coq/Coq_ZArith_BinInt_Z_mul_opp_opp' 'hl/thm/real/REAL_NEG_MUL2_'
1.28354100159 'coq/Coq_Reals_RIneq_Rmult_opp_opp' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_MUL2_'
1.27612515332 'coq/Coq_ZArith_BinInt_Z_le_lt_trans' 'hl/thm/realarith/REAL_LET_TRANS_'
1.27612515332 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_mul_r' 'hl/thm/arith/EXP_MULT_'
1.27612515332 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_mul_r' 'hl/thm/Library/prime/EXP_EXP_'
1.27612515332 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_lt_trans' 'hl/thm/arith/LET_TRANS_'
1.27612515332 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_lt_trans' 'hl/thm/arith/LET_TRANS_'
1.27612515332 'coq/Coq_NArith_BinNat_N_le_lt_trans' 'hl/thm/int/INT_LET_TRANS_'
1.27612515332 'coq/Coq_Arith_PeanoNat_Nat_le_lt_trans' 'hl/thm/arith/LET_TRANS_'
1.27251806849 'coq/Coq_Arith_PeanoNat_Nat_le_antisymm' 'hl/thm/Library/analysis/LESS_EQUAL_ANTISYM_'
1.27251806849 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_antisymm' 'hl/thm/Library/analysis/LESS_EQUAL_ANTISYM_'
1.27251806849 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_antisymm' 'hl/thm/Library/analysis/LESS_EQUAL_ANTISYM_'
1.27135684303 'coq/Coq_ZArith_Zorder_Zmult_lt_compat_l'#@#variant 'hl/thm/real/REAL_LT_LMUL_'#@#variant
1.27135684303 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_mult_lt_compat_l'#@#variant 'hl/thm/Library/analysis/REAL_LT_LMUL_IMP_'#@#variant
1.27135684303 'coq/Coq_ZArith_Zorder_Zmult_le_compat_l'#@#variant 'hl/thm/real/REAL_LE_LMUL_'#@#variant
1.27135684303 'coq/Coq_ZArith_BinInt_Z_mul_le_mono_nonneg_l'#@#variant 'hl/thm/real/REAL_LE_LMUL_'#@#variant
1.27135684303 'coq/Coq_ZArith_Zorder_Zmult_lt_compat_l'#@#variant 'hl/thm/Library/analysis/REAL_LT_LMUL_IMP_'#@#variant
1.27135684303 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_mult_lt_compat_l'#@#variant 'hl/thm/real/REAL_LT_LMUL_'#@#variant
1.27135684303 'coq/Coq_NArith_BinNat_N_mul_le_mono_nonneg_l'#@#variant 'hl/thm/int/INT_LE_LMUL_'#@#variant
1.26549357792 'coq/Coq_Arith_PeanoNat_Nat_sqrt_le_lin' 'hl/thm/Library/pratt/PHI_LIMIT_'
1.26549357792 'coq/Coq_Arith_PeanoNat_Nat_lt_le_trans' 'hl/thm/arith/LTE_TRANS_'
1.26549357792 'coq/Coq_NArith_BinNat_N_lt_le_trans' 'hl/thm/int/INT_LTE_TRANS_'
1.26549357792 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_le_trans' 'hl/thm/arith/LTE_TRANS_'
1.26549357792 'coq/Coq_ZArith_BinInt_Z_lt_le_trans' 'hl/thm/realarith/REAL_LTE_TRANS_'
1.26549357792 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_le_trans' 'hl/thm/arith/LTE_TRANS_'
1.26549357792 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_le_lin' 'hl/thm/Library/pocklington/PHI_LIMIT_'
1.2620730364 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mod_0_l' 'hl/thm/arith/MOD_0_'#@#variant
1.2620730364 'coq/Coq_Structures_OrdersEx_Nat_as_DT_div_0_l' 'hl/thm/arith/DIV_0_'#@#variant
1.24381719001 'coq/Coq_ZArith_Zorder_Zle_0_nat'#@#variant 'hl/thm/realarith/REAL_POS_'#@#variant
1.24381719001 'coq/Coq_ZArith_Zlogarithm_log_inf_correct/0'#@#variant 'hl/thm/Multivariate/transcendentals/ARG_/0'#@#variant
1.24381719001 'coq/Coq_ZArith_Zlogarithm_log_inf_correct1'#@#variant 'hl/thm/Multivariate/transcendentals/ARG_/0'#@#variant
1.24381719001 'coq/Coq_ZArith_Znat_Nat2Z_is_nonneg'#@#variant 'hl/thm/realarith/REAL_POS_'#@#variant
1.23668197125 'coq/Coq_Structures_OrdersEx_Nat_as_DT_eq_add_0' 'hl/thm/arith/ADD_EQ_0_'#@#variant
1.23668197125 'coq/Coq_Reals_Rtrigo1_cos_neg' 'hl/thm/Complex/complex_transc/CCOS_NEG_'
1.23668197125 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_eq_1'#@#variant 'hl/thm/arith/MULT_EQ_1_'#@#variant
1.23668197125 'coq/Coq_ZArith_BinInt_Z_abs_opp' 'hl/thm/calc_int/REAL_ABS_NEG_'
1.23668197125 'coq/Coq_Reals_Rtrigo_def_cos_sym' 'hl/thm/Complex/complex_transc/CCOS_NEG_'
1.23668197125 'coq/Coq_Structures_OrdersEx_Nat_as_DT_eq_mul_1'#@#variant 'hl/thm/arith/MULT_EQ_1_'#@#variant
1.21964101971 'coq/Coq_ZArith_BinInt_Z_sub_simpl_r' 'hl/thm/real/REAL_SUB_ADD_'
1.21964101971 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_sub' 'hl/thm/arith/ADD_SUB_'
1.21964101971 'coq/Coq_ZArith_BinInt_Z_sub_add' 'hl/thm/real/REAL_SUB_ADD_'
1.20948586371 'coq/Coq_ZArith_BinInt_Z_sqrt_le_lin'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_LE_X_'#@#variant
1.19868076903 'coq/Coq_Reals_RIneq_Rminus_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_LZERO_'#@#variant
1.19868076903 'coq/Coq_ZArith_BinInt_Z_sub_0_l' 'hl/thm/real/REAL_SUB_LZERO_'#@#variant
1.18966870955 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_0_l' 'hl/thm/arith/LE_0_'#@#variant
1.18966870955 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_1_l'#@#variant 'hl/thm/Library/prime/DIVIDES_1_'#@#variant
1.18966870955 'coq/Coq_NArith_BinNat_N_lt_eq_cases' 'hl/thm/int/INT_LE_LT_'
1.18966870955 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_0_l' 'hl/thm/arith/LE_0_'#@#variant
1.18966870955 'coq/Coq_Init_Peano_le_0_n' 'hl/thm/arith/LE_0_'#@#variant
1.18966870955 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_0_l' 'hl/thm/realax/NADD_LE_0_'#@#variant
1.18966870955 'coq/Coq_Arith_PeanoNat_Nat_le_lteq' 'hl/thm/arith/LE_LT_'
1.18966870955 'coq/Coq_Arith_PeanoNat_Nat_le_0_l' 'hl/thm/arith/LE_0_'#@#variant
1.18966870955 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_lteq' 'hl/thm/arith/LE_LT_'
1.18966870955 'coq/Coq_NArith_BinNat_N_le_lteq' 'hl/thm/int/INT_LE_LT_'
1.18966870955 'coq/Coq_NArith_BinNat_N_divide_1_l'#@#variant 'hl/thm/Library/integer/INT_DIVIDES_1_'#@#variant
1.18966870955 'coq/Coq_ZArith_BinInt_Z_lt_eq_cases' 'hl/thm/realarith/REAL_LE_LT_'
1.18966870955 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_eq_cases' 'hl/thm/arith/LE_LT_'
1.18966870955 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_eq_cases' 'hl/thm/arith/LE_LT_'
1.18966870955 'coq/Coq_ZArith_BinInt_Z_le_lteq' 'hl/thm/realarith/REAL_LE_LT_'
1.18966870955 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_lteq' 'hl/thm/arith/LE_LT_'
1.18966870955 'coq/Coq_Arith_PeanoNat_Nat_lt_eq_cases' 'hl/thm/arith/LE_LT_'
1.18512572824 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_eq_le_incl' 'hl/thm/realax/NADD_EQ_IMP_LE_'
1.18512572824 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_le_incl' 'hl/thm/arith/LT_IMP_LE_'
1.18512572824 'coq/Coq_ZArith_BinInt_Z_lt_le_incl' 'hl/thm/realarith/REAL_LT_IMP_LE_'
1.18512572824 'coq/Coq_Arith_PeanoNat_Nat_lt_le_incl' 'hl/thm/arith/LT_IMP_LE_'
1.18512572824 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_le_incl' 'hl/thm/arith/LT_IMP_LE_'
1.18512572824 'coq/Coq_NArith_BinNat_N_lt_le_incl' 'hl/thm/int/INT_LT_IMP_LE_'
1.17696036118 'coq/Coq_ZArith_BinInt_Z_mul_le_mono_pos_l'#@#variant 'hl/thm/Library/analysis/REAL_LE_LMUL_LOCAL_'#@#variant
1.17696036118 'coq/Coq_ZArith_BinInt_Z_mul_lt_mono_pos_l'#@#variant 'hl/thm/real/REAL_LT_LMUL_EQ_'#@#variant
1.17696036118 'coq/Coq_NArith_BinNat_N_mul_lt_mono_pos_l'#@#variant 'hl/thm/int/INT_LT_LMUL_EQ_'#@#variant
1.17696036118 'coq/Coq_ZArith_BinInt_Z_mul_lt_mono_pos_l'#@#variant 'hl/thm/Library/analysis/REAL_LT_LMUL_EQ_'#@#variant
1.17696036118 'coq/Coq_ZArith_BinInt_Z_mul_le_mono_pos_l'#@#variant 'hl/thm/real/REAL_LE_LMUL_EQ_'#@#variant
1.1640278756 'coq/Coq_ZArith_BinInt_Z_sgn_null_iff' 'hl/thm/Multivariate/vectors/SQRT_EQ_0_'#@#variant
1.1640278756 'coq/Coq_ZArith_BinInt_Z_abs_0_iff' 'hl/thm/real/REAL_ABS_ZERO_'#@#variant
1.1640278756 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_null_iff' 'hl/thm/real/REAL_SGN_INEQS_9'#@#variant
1.1640278756 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_null_iff' 'hl/thm/real/REAL_SGN_INEQS_4'#@#variant
1.15796353468 'coq/Coq_ZArith_BinInt_Z_abs_involutive' 'hl/thm/real/REAL_ABS_ABS_'
1.15796353468 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_sgn' 'hl/thm/real/REAL_SGN_REAL_SGN_'
1.15796353468 'coq/Coq_Structures_DecidableTypeEx_N_as_DT_lt_not_eq' 'hl/thm/int/INT_LT_IMP_NE_'
1.15796353468 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_lt_not_eq' 'hl/thm/real/REAL_LT_IMP_NE_'
1.15796353468 'coq/Coq_NArith_BinNat_N_lt_neq' 'hl/thm/int/INT_LT_IMP_NE_'
1.15796353468 'coq/Coq_Structures_OrderedTypeEx_Z_as_OT_lt_not_eq' 'hl/thm/real/REAL_LT_IMP_NE_'
1.15796353468 'coq/Coq_Structures_DecidableTypeEx_Z_as_DT_lt_not_eq' 'hl/thm/real/REAL_LT_IMP_NE_'
1.15796353468 'coq/Coq_Structures_OrderedTypeEx_N_as_OT_lt_not_eq' 'hl/thm/int/INT_LT_IMP_NE_'
1.15796353468 'coq/Coq_ZArith_BinInt_Z_lt_neq' 'hl/thm/real/REAL_LT_IMP_NE_'
1.14703345123 'coq/Coq_NArith_BinNat_N_le_min_r' 'hl/thm/int/INT_MIN_MIN_/1'
1.14703345123 'coq/Coq_Arith_Min_le_min_r' 'hl/thm/Library/prime/INDEX_TRIVIAL_BOUND_'
1.14703345123 'coq/Coq_Arith_PeanoNat_Nat_le_min_r' 'hl/thm/Library/prime/INDEX_TRIVIAL_BOUND_'
1.14703345123 'coq/Coq_ZArith_BinInt_Z_le_min_r' 'hl/thm/real/REAL_MIN_MIN_/1'
1.14107832978 'coq/Coq_ZArith_BinInt_Z_lt_add_lt_sub_r' 'hl/thm/real/REAL_LT_SUB_LADD_'
1.14107832978 'coq/Coq_ZArith_BinInt_Z_le_sub_le_add_r' 'hl/thm/real/REAL_LE_SUB_RADD_'
1.14107832978 'coq/Coq_ZArith_BinInt_Z_lt_add_lt_sub_r' 'hl/thm/real/REAL_LT_ADD_SUB_'
1.14107832978 'coq/Coq_ZArith_BinInt_Z_lt_sub_lt_add_r' 'hl/thm/real/REAL_LT_SUB_RADD_'
1.14107832978 'coq/Coq_ZArith_BinInt_Z_le_add_le_sub_r' 'hl/thm/real/REAL_LE_SUB_LADD_'
1.14107832978 'coq/Coq_NArith_BinNat_N_lt_add_lt_sub_r' 'hl/thm/int/INT_LT_ADD_SUB_'
1.14107832978 'coq/Coq_NArith_BinNat_N_lt_add_lt_sub_r' 'hl/thm/int/INT_LT_SUB_LADD_'
1.14107832978 'coq/Coq_NArith_BinNat_N_le_sub_le_add_r' 'hl/thm/int/INT_LE_SUB_RADD_'
1.13657576664 'coq/Coq_Reals_RIneq_Ropp_Ropp_IZR' 'hl/thm/Complex/complexnumbers/CX_NEG_'
1.13657576664 'coq/Coq_Reals_RIneq_opp_IZR' 'hl/thm/Complex/complexnumbers/CX_NEG_'
1.13657576664 'coq/Coq_ZArith_BinInt_Z2Pos_inj_sqrt' 'hl/thm/Multivariate/transcendentals/CX_ATN_'#@#variant
1.13491505986 'coq/Coq_ZArith_BinInt_Z_add_diag'#@#variant 'hl/thm/Library/analysis/REAL_DOUBLE_'#@#variant
1.13491505986 'coq/Coq_ZArith_BinInt_Z_add_diag'#@#variant 'hl/thm/real/REAL_MUL_2_'#@#variant
1.12208182457 'coq/Coq_ZArith_BinInt_Z_le_max_r' 'hl/thm/real/REAL_MAX_MAX_/1'
1.12208182457 'coq/Coq_NArith_BinNat_N_le_max_r' 'hl/thm/int/INT_MAX_MAX_/1'
1.11308666435 'coq/Coq_Structures_OrdersEx_Nat_as_OT_neq_0_succ' 'hl/thm/nums/NOT_SUC_'#@#variant
1.11308666435 'coq/Coq_Arith_PeanoNat_Nat_neq_succ_0' 'hl/thm/nums/NOT_SUC_'#@#variant
1.11308666435 'coq/Coq_Init_Peano_O_S' 'hl/thm/nums/NOT_SUC_'#@#variant
1.11308666435 'coq/Coq_Arith_PeanoNat_Nat_neq_0_succ' 'hl/thm/nums/NOT_SUC_'#@#variant
1.11308666435 'coq/Coq_Structures_OrdersEx_Nat_as_DT_neq_succ_0' 'hl/thm/nums/NOT_SUC_'#@#variant
1.11308666435 'coq/Coq_Structures_OrdersEx_Nat_as_DT_neq_0_succ' 'hl/thm/nums/NOT_SUC_'#@#variant
1.11308666435 'coq/Coq_Structures_OrdersEx_Nat_as_OT_neq_succ_0' 'hl/thm/nums/NOT_SUC_'#@#variant
1.11308666435 'coq/Coq_Arith_Factorial_fact_neq_0' 'hl/thm/arith/FACT_NZ_'#@#variant
1.10877316137 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_sub_l' 'hl/thm/Library/analysis/SUB_LESS_EQ_'
1.10877316137 'coq/Coq_NArith_BinNat_N_le_min_l' 'hl/thm/int/INT_MIN_MIN_/0'
1.10877316137 'coq/Coq_ZArith_BinInt_Z_le_min_l' 'hl/thm/real/REAL_MIN_MIN_/0'
1.09914663872 'coq/Coq_ZArith_BinInt_Z_min_le_iff' 'hl/thm/real/REAL_MIN_LE_'
1.09914663872 'coq/Coq_ZArith_BinInt_Z_min_lt_iff' 'hl/thm/real/REAL_MIN_LT_'
1.09914663872 'coq/Coq_NArith_BinNat_N_min_le_iff' 'hl/thm/int/INT_MIN_LE_'
1.09914663872 'coq/Coq_NArith_BinNat_N_min_lt_iff' 'hl/thm/int/INT_MIN_LT_'
1.09546543664 'coq/Coq_ZArith_BinInt_Z_add_opp_r' 'hl/thm/realax/real_sub_'
1.09546543664 'coq/Coq_ZArith_BinInt_Z_sub_opp_r' 'hl/thm/real/REAL_SUB_RNEG_'
1.09390214581 'coq/Coq_ZArith_BinInt_Z_max_le_iff' 'hl/thm/real/REAL_LE_MAX_'
1.09390214581 'coq/Coq_ZArith_BinInt_Z_max_lt_iff' 'hl/thm/real/REAL_LT_MAX_'
1.09390214581 'coq/Coq_NArith_BinNat_N_max_le_iff' 'hl/thm/int/INT_LE_MAX_'
1.09390214581 'coq/Coq_NArith_BinNat_N_max_lt_iff' 'hl/thm/int/INT_LT_MAX_'
1.09261843918 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_succ_diag_r' 'hl/thm/Library/analysis/LESS_SUC_REFL_'
1.09261843918 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_succ_diag_r' 'hl/thm/Library/analysis/LESS_EQ_SUC_REFL_'
1.09261843918 'coq/Coq_Arith_PeanoNat_Nat_le_succ_diag_r' 'hl/thm/Library/analysis/LESS_EQ_SUC_REFL_'
1.09261843918 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_succ_diag_r' 'hl/thm/Library/analysis/LESS_SUC_REFL_'
1.09261843918 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_succ_diag_r' 'hl/thm/Library/analysis/LESS_EQ_SUC_REFL_'
1.09261843918 'coq/Coq_Arith_PeanoNat_Nat_lt_succ_diag_r' 'hl/thm/Library/analysis/LESS_SUC_REFL_'
1.08883058391 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_gt_lt_iff' 'hl/thm/realax/real_gt_'
1.08883058391 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_ge_le_iff' 'hl/thm/realax/real_ge_'
1.08883058391 'coq/Coq_NArith_BinNat_N_ge_le_iff' 'hl/thm/int/INT_GE_'
1.08883058391 'coq/Coq_NArith_BinNat_N_gt_lt_iff' 'hl/thm/int/INT_GT_'
1.08883058391 'coq/Coq_ZArith_BinInt_Z_ge_le_iff' 'hl/thm/realax/real_ge_'
1.08883058391 'coq/Coq_ZArith_BinInt_Z_gt_lt_iff' 'hl/thm/realax/real_gt_'
1.08034247461 'coq/Coq_ZArith_BinInt_Z_eq_mul_0' 'hl/thm/realarith/REAL_ENTIRE_'#@#variant
1.08034247461 'coq/Coq_Structures_OrdersEx_Nat_as_DT_eq_mul_0' 'hl/thm/arith/MULT_EQ_0_'#@#variant
1.08034247461 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_eq_0' 'hl/thm/arith/MULT_EQ_0_'#@#variant
1.08034247461 'coq/Coq_NArith_BinNat_N_eq_mul_0' 'hl/thm/int/INT_ENTIRE_'#@#variant
1.08034247461 'coq/Coq_ZArith_BinInt_Z_mul_eq_0' 'hl/thm/realarith/REAL_ENTIRE_'#@#variant
1.08034247461 'coq/Coq_NArith_BinNat_N_mul_eq_0' 'hl/thm/int/INT_ENTIRE_'#@#variant
1.07455942071 'coq/Coq_ZArith_BinInt_Zminus_diag_reverse' 'hl/thm/real/REAL_SUB_REFL_'#@#variant
1.07455942071 'coq/Coq_ZArith_BinInt_Z_sub_diag' 'hl/thm/real/REAL_SUB_REFL_'#@#variant
1.07455942071 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sub_diag' 'hl/thm/arith/SUB_REFL_'#@#variant
1.07455942071 'coq/Coq_NArith_BinNat_N_sub_diag' 'hl/thm/int/INT_SUB_REFL_'#@#variant
1.04869013676 'coq/Coq_Structures_OrdersEx_Nat_as_OT_eq_le_incl' 'hl/thm/arith/EQ_IMP_LE_'
1.04869013676 'coq/Coq_Arith_PeanoNat_Nat_eq_le_incl' 'hl/thm/arith/EQ_IMP_LE_'
1.04869013676 'coq/Coq_ZArith_BinInt_Z_eq_le_incl' 'hl/thm/real/REAL_EQ_IMP_LE_'
1.04869013676 'coq/Coq_NArith_BinNat_N_eq_le_incl' 'hl/thm/int/INT_EQ_IMP_LE_'
1.04869013676 'coq/Coq_Structures_OrdersEx_Nat_as_DT_eq_le_incl' 'hl/thm/arith/EQ_IMP_LE_'
1.04580174962 'coq/Coq_ZArith_BinInt_Z_min_glb_lt_iff' 'hl/thm/real/REAL_LT_MIN_'
1.04580174962 'coq/Coq_ZArith_BinInt_Z_min_glb_iff' 'hl/thm/real/REAL_LE_MIN_'
1.04580174962 'coq/Coq_NArith_BinNat_N_min_glb_iff' 'hl/thm/int/INT_LE_MIN_'
1.04580174962 'coq/Coq_NArith_BinNat_N_min_glb_lt_iff' 'hl/thm/int/INT_LT_MIN_'
1.04487343864 'coq/Coq_ZArith_Zsqrt_compat_Zsqrt_plain_is_pos'#@#variant 'hl/thm/Library/transc/SQRT_POS_LE_'#@#variant
1.03504503708 'coq/Coq_ZArith_BinInt_Z_max_lub_iff' 'hl/thm/real/REAL_MAX_LE_'
1.03504503708 'coq/Coq_NArith_BinNat_N_max_lub_iff' 'hl/thm/int/INT_MAX_LE_'
1.03504503708 'coq/Coq_ZArith_BinInt_Z_max_lub_lt_iff' 'hl/thm/real/REAL_MAX_LT_'
1.03504503708 'coq/Coq_NArith_BinNat_N_max_lub_lt_iff' 'hl/thm/int/INT_MAX_LT_'
1.01877898603 'coq/Coq_Arith_PeanoNat_Nat_le_gt_cases' 'hl/thm/arith/LET_CASES_'
1.01877898603 'coq/Coq_ZArith_BinInt_Z_le_gt_cases' 'hl/thm/realarith/REAL_LET_TOTAL_'
1.01877898603 'coq/Coq_Arith_PeanoNat_Nat_lt_ge_cases' 'hl/thm/arith/LTE_CASES_'
1.01877898603 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_gt_cases' 'hl/thm/arith/LET_CASES_'
1.01877898603 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_gt_cases' 'hl/thm/arith/LET_CASES_'
1.01877898603 'coq/Coq_ZArith_BinInt_Z_lt_ge_cases' 'hl/thm/realarith/REAL_LTE_TOTAL_'
1.01877898603 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_ge_cases' 'hl/thm/arith/LTE_CASES_'
1.01877898603 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_ge_cases' 'hl/thm/arith/LTE_CASES_'
1.01877898603 'coq/Coq_NArith_BinNat_N_le_gt_cases' 'hl/thm/int/INT_LET_TOTAL_'
1.01877898603 'coq/Coq_NArith_BinNat_N_lt_ge_cases' 'hl/thm/int/INT_LTE_TOTAL_'
0.994309566939 'coq/Coq_Reals_Rtrigo_def_sin_antisym' 'hl/thm/Complex/complex_transc/CSIN_NEG_'
0.994309566939 'coq/Coq_Reals_Rtrigo1_sin_neg' 'hl/thm/Complex/complex_transc/CSIN_NEG_'
0.994309566939 'coq/Coq_ZArith_BinInt_Z_sgn_opp' 'hl/thm/Multivariate/vectors/SQRT_NEG_'
0.994309566939 'coq/Coq_ZArith_Zeven_Zquot2_opp' 'hl/thm/Multivariate/transcendentals/TAN_NEG_'
0.986867865558 'coq/Coq_Reals_RIneq_Ropp_mult_distr_r_reverse' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_RMUL_'
0.986867865558 'coq/Coq_Reals_RIneq_Ropp_mult_distr_r_reverse' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RNEG_'
0.986867865558 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_succ_r' 'hl/thm/arith/ADD_SUC_'
0.986867865558 'coq/Coq_ZArith_BinInt_Zopp_mult_distr_r' 'hl/thm/real/REAL_NEG_RMUL_'
0.986867865558 'coq/Coq_ZArith_BinInt_Zopp_mult_distr_r' 'hl/thm/calc_int/REAL_MUL_RNEG_'
0.986867865558 'coq/Coq_Reals_RIneq_Ropp_mult_distr_r' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RNEG_'
0.986867865558 'coq/Coq_ZArith_BinInt_Z_mul_opp_r' 'hl/thm/calc_int/REAL_MUL_RNEG_'
0.986867865558 'coq/Coq_ZArith_BinInt_Z_mul_opp_r' 'hl/thm/real/REAL_NEG_RMUL_'
0.986867865558 'coq/Coq_Reals_RIneq_Ropp_mult_distr_r' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_RMUL_'
0.963287579183 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_add_r' 'hl/thm/arith/LE_ADD_'
0.963287579183 'coq/Coq_NArith_BinNat_N_le_max_l' 'hl/thm/int/INT_MAX_MAX_/0'
0.963287579183 'coq/Coq_ZArith_BinInt_Z_le_max_l' 'hl/thm/real/REAL_MAX_MAX_/0'
0.960324632745 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_pred' 'hl/thm/Library/transc/ATN_TAN_'
0.960324632745 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pred_succ' 'hl/thm/arith/PRE_1'
0.960324632745 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_pred' 'hl/thm/Library/transc/ATN_/2'
0.960324632745 'coq/Coq_PArith_POrderedType_Positive_as_DT_pred_succ' 'hl/thm/Multivariate/transcendentals/CCOS_CACS_'#@#variant
0.960324632745 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_pred' 'hl/thm/Library/transc/LN_EXP_'
0.957162204495 'coq/Coq_ZArith_BinInt_Z_lt_asymm' 'hl/thm/real/REAL_LT_GT_'
0.957162204495 'coq/Coq_NArith_BinNat_N_lt_asymm' 'hl/thm/int/INT_LT_GT_'
0.957162204495 'coq/Coq_NArith_BinNat_N_lt_asymm' 'hl/thm/int/INT_LT_ANTISYM_'
0.957162204495 'coq/Coq_Arith_PeanoNat_Nat_lt_asymm' 'hl/thm/arith/LT_ANTISYM_'
0.957162204495 'coq/Coq_ZArith_BinInt_Z_lt_asymm' 'hl/thm/real/REAL_LT_ANTISYM_'
0.957162204495 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_asymm' 'hl/thm/arith/LT_ANTISYM_'
0.957162204495 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_asymm' 'hl/thm/arith/LT_ANTISYM_'
0.950417682711 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_irrefl' 'hl/thm/arith/LT_REFL_'
0.950417682711 'coq/Coq_Arith_PeanoNat_Nat_lt_irrefl' 'hl/thm/arith/LT_REFL_'
0.950417682711 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_irrefl' 'hl/thm/arith/LT_REFL_'
0.950417682711 'coq/Coq_NArith_BinNat_N_lt_irrefl' 'hl/thm/int/INT_LT_REFL_'
0.950417682711 'coq/Coq_ZArith_BinInt_Z_lt_irrefl' 'hl/thm/realarith/REAL_LT_REFL_'
0.938913214741 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_lt_mono_l' 'hl/thm/arith/LT_ADD_LCANCEL_'
0.938913214741 'coq/Coq_NArith_BinNat_N_add_lt_mono_l' 'hl/thm/int/INT_LT_LADD_'
0.938913214741 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_le_mono_l' 'hl/thm/arith/LE_ADD_LCANCEL_'
0.938913214741 'coq/Coq_ZArith_BinInt_Z_add_le_mono_l' 'hl/thm/real/REAL_LE_LADD_'
0.938913214741 'coq/Coq_ZArith_BinInt_Z_add_lt_mono_l' 'hl/thm/real/REAL_LT_LADD_'
0.938913214741 'coq/Coq_NArith_BinNat_N_add_le_mono_l' 'hl/thm/int/INT_LE_LADD_'
0.928088699203 'coq/Coq_Reals_RIneq_Ropp_involutive' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_NEG_'
0.928088699203 'coq/Coq_ZArith_BinInt_Z_opp_involutive' 'hl/thm/calc_int/REAL_NEG_NEG_'
0.91533602711 'coq/Coq_NArith_BinNat_N_add_le_mono_r' 'hl/thm/int/INT_LE_RADD_'
0.91533602711 'coq/Coq_NArith_BinNat_N_add_lt_mono_r' 'hl/thm/int/INT_LT_RADD_'
0.91533602711 'coq/Coq_ZArith_BinInt_Z_add_le_mono_r' 'hl/thm/real/REAL_LE_RADD_'
0.91533602711 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_lt_mono_r' 'hl/thm/arith/LT_ADD_RCANCEL_'
0.91533602711 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_le_mono_r' 'hl/thm/arith/LE_ADD_RCANCEL_'
0.91533602711 'coq/Coq_ZArith_BinInt_Z_add_lt_mono_r' 'hl/thm/real/REAL_LT_RADD_'
0.904249640437 'coq/Coq_Arith_Min_min_0_r' 'hl/thm/Library/prime/INDEX_0_'#@#variant
0.904249640437 'coq/Coq_Arith_PeanoNat_Nat_gcd_1_r'#@#variant 'hl/thm/Library/pocklington/ORDER_1_'#@#variant
0.904249640437 'coq/Coq_ZArith_BinInt_Z_mul_0_r' 'hl/thm/calc_int/REAL_MUL_RZERO_'#@#variant
0.904249640437 'coq/Coq_ZArith_BinInt_Zmult_0_r_reverse' 'hl/thm/calc_int/REAL_MUL_RZERO_'#@#variant
0.904249640437 'coq/Coq_NArith_BinNat_N_mul_0_r' 'hl/thm/int/INT_MUL_RZERO_'#@#variant
0.904249640437 'coq/Coq_Reals_RIneq_Rmult_0_r' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RZERO_'#@#variant
0.904249640437 'coq/Coq_Arith_PeanoNat_Nat_min_0_r' 'hl/thm/Library/prime/INDEX_0_'#@#variant
0.904249640437 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_0_r' 'hl/thm/arith/MULT_0_'#@#variant
0.894725849988 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_sub_r' 'hl/thm/Library/prime/DIVIDES_SUB_'
0.894725849988 'coq/Coq_NArith_BinNat_N_divide_sub_r' 'hl/thm/Library/integer/INT_DIVIDES_SUB_'
0.894725849988 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_add_r' 'hl/thm/Library/prime/DIVIDES_ADD_'
0.894725849988 'coq/Coq_NArith_BinNat_N_divide_add_r' 'hl/thm/Library/integer/INT_DIVIDES_ADD_'
0.893459531067 'coq/Coq_ZArith_BinInt_Z_add_cancel_r' 'hl/thm/calc_int/REAL_EQ_ADD_RCANCEL_'
0.893459531067 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_cancel_l' 'hl/thm/arith/EQ_ADD_LCANCEL_'
0.893459531067 'coq/Coq_NArith_BinNat_N_add_cancel_l' 'hl/thm/int/INT_EQ_ADD_LCANCEL_'
0.893459531067 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_cancel_r' 'hl/thm/arith/EQ_ADD_RCANCEL_'
0.893459531067 'coq/Coq_ZArith_BinInt_Z_add_cancel_l' 'hl/thm/calc_int/REAL_EQ_ADD_LCANCEL_'
0.893459531067 'coq/Coq_NArith_BinNat_N_add_cancel_r' 'hl/thm/int/INT_EQ_ADD_RCANCEL_'
0.892015277574 'coq/Coq_ZArith_BinInt_Z_le_ge_cases' 'hl/thm/realax/REAL_LE_TOTAL_'
0.892015277574 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_ge_cases' 'hl/thm/realax/NADD_LE_TOTAL_'
0.892015277574 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_ge_cases' 'hl/thm/arith/LE_CASES_'
0.892015277574 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_ge_cases' 'hl/thm/arith/LE_CASES_'
0.892015277574 'coq/Coq_NArith_BinNat_N_le_ge_cases' 'hl/thm/int/INT_LE_TOTAL_'
0.892015277574 'coq/Coq_Arith_PeanoNat_Nat_le_ge_cases' 'hl/thm/arith/LE_CASES_'
0.891459278605 'coq/Coq_ZArith_BinInt_Z_sgn_nonneg'#@#variant 'hl/thm/Multivariate/vectors/SQRT_LE_0_'#@#variant
0.891459278605 'coq/Coq_NArith_BinNat_N_sqrt_up_pos'#@#variant 'hl/thm/int/INT_SGN_INEQS_1'#@#variant
0.891459278605 'coq/Coq_ZArith_BinInt_Z_sqrt_pos'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_POS_LT_'#@#variant
0.8906578529 'coq/Coq_Arith_PeanoNat_Nat_nle_gt' 'hl/thm/arith/NOT_LE_'
0.8906578529 'coq/Coq_NArith_BinNat_N_lt_nge' 'hl/thm/int/INT_LT_'
0.8906578529 'coq/Coq_NArith_BinNat_N_lt_nge' 'hl/thm/int/INT_NOT_LE_'
0.8906578529 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_nge' 'hl/thm/arith/NOT_LE_'
0.8906578529 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_le_lt_iff' 'hl/thm/realarith/REAL_NOT_LT_'
0.8906578529 'coq/Coq_NArith_BinNat_N_nlt_ge' 'hl/thm/int/INT_NOT_LT_'
0.8906578529 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_nge' 'hl/thm/arith/NOT_LE_'
0.8906578529 'coq/Coq_ZArith_BinInt_Z_nle_gt' 'hl/thm/realax/real_lt_'
0.8906578529 'coq/Coq_ZArith_BinInt_Z_le_ngt' 'hl/thm/realarith/REAL_NOT_LT_'
0.8906578529 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_le_lt_iff' 'hl/thm/Library/analysis/real_le_'
0.8906578529 'coq/Coq_ZArith_BinInt_Z_nlt_ge' 'hl/thm/Library/analysis/real_le_'
0.8906578529 'coq/Coq_ZArith_BinInt_Z_lt_nge' 'hl/thm/realax/real_lt_'
0.8906578529 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_ngt' 'hl/thm/arith/NOT_LT_'
0.8906578529 'coq/Coq_NArith_BinNat_N_nle_gt' 'hl/thm/int/INT_LT_'
0.8906578529 'coq/Coq_ZArith_BinInt_Z_nle_gt' 'hl/thm/real/REAL_NOT_LE_'
0.8906578529 'coq/Coq_NArith_BinNat_N_nle_gt' 'hl/thm/int/INT_NOT_LE_'
0.8906578529 'coq/Coq_Structures_OrdersEx_Nat_as_OT_nle_gt' 'hl/thm/arith/NOT_LE_'
0.8906578529 'coq/Coq_Arith_PeanoNat_Nat_lt_nge' 'hl/thm/arith/NOT_LE_'
0.8906578529 'coq/Coq_ZArith_BinInt_Z_nlt_ge' 'hl/thm/realarith/REAL_NOT_LT_'
0.8906578529 'coq/Coq_ZArith_BinInt_Z_lt_nge' 'hl/thm/real/REAL_NOT_LE_'
0.8906578529 'coq/Coq_NArith_BinNat_N_le_ngt' 'hl/thm/int/INT_NOT_LT_'
0.8906578529 'coq/Coq_Structures_OrdersEx_Nat_as_OT_nlt_ge' 'hl/thm/arith/NOT_LT_'
0.8906578529 'coq/Coq_Arith_PeanoNat_Nat_nlt_ge' 'hl/thm/arith/NOT_LT_'
0.8906578529 'coq/Coq_Structures_OrdersEx_Nat_as_DT_nlt_ge' 'hl/thm/arith/NOT_LT_'
0.8906578529 'coq/Coq_ZArith_BinInt_Z_le_ngt' 'hl/thm/Library/analysis/real_le_'
0.8906578529 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_ngt' 'hl/thm/arith/NOT_LT_'
0.8906578529 'coq/Coq_Arith_PeanoNat_Nat_le_ngt' 'hl/thm/arith/NOT_LT_'
0.8906578529 'coq/Coq_Structures_OrdersEx_Nat_as_DT_nle_gt' 'hl/thm/arith/NOT_LE_'
0.878353941473 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_succ_l' 'hl/thm/arith/ADD_CLAUSES_2'
0.878353941473 'coq/Coq_ZArith_BinInt_Zopp_mult_distr_l' 'hl/thm/real/REAL_NEG_LMUL_'
0.878353941473 'coq/Coq_Reals_RIneq_Ropp_mult_distr_l_reverse' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LNEG_'
0.878353941473 'coq/Coq_NArith_BinNat_N_double_mul' 'hl/thm/int/INT_NEG_LMUL_'
0.878353941473 'coq/Coq_ZArith_BinInt_Zopp_mult_distr_l' 'hl/thm/calc_int/REAL_MUL_LNEG_'
0.878353941473 'coq/Coq_NArith_BinNat_N_double_mul' 'hl/thm/int/INT_MUL_LNEG_'
0.878353941473 'coq/Coq_Reals_RIneq_Ropp_mult_distr_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LNEG_'
0.878353941473 'coq/Coq_ZArith_BinInt_Z_abs_pow' 'hl/thm/Multivariate/transcendentals/REAL_ABS_RPOW_'
0.878353941473 'coq/Coq_Reals_RIneq_Ropp_mult_distr_l' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_LMUL_'
0.878353941473 'coq/Coq_ZArith_BinInt_Z_mul_opp_l' 'hl/thm/calc_int/REAL_MUL_LNEG_'
0.878353941473 'coq/Coq_ZArith_BinInt_Z_mul_opp_l' 'hl/thm/real/REAL_NEG_LMUL_'
0.878353941473 'coq/Coq_Reals_RIneq_Ropp_mult_distr_l_reverse' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_LMUL_'
0.875547216633 'coq/Coq_NArith_BinNat_N_mul_divide_mono_l' 'hl/thm/Library/integer/INT_DIVIDES_MUL_L_'
0.875547216633 'coq/Coq_ZArith_Zorder_Zplus_lt_compat_l' 'hl/thm/real/REAL_LT_LADD_IMP_'
0.875547216633 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_divide_mono_l' 'hl/thm/Library/prime/DIVIDES_MUL_L_'
0.875547216633 'coq/Coq_ZArith_Zorder_Zplus_le_compat_l' 'hl/thm/realax/REAL_LE_LADD_IMP_'
0.835771369161 'coq/Coq_Arith_Factorial_fact_le' 'hl/thm/arith/FACT_MONO_'
0.835771369161 'coq/Coq_ZArith_Zorder_Zsucc_le_compat' 'hl/thm/Library/floor/FLOOR_MONO_'
0.831968492991 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_0_l' 'hl/thm/arith/ADD_CLAUSES_0'#@#variant
0.831968492991 'coq/Coq_ZArith_BinInt_Z_mul_1_l'#@#variant 'hl/thm/realax/REAL_MUL_LID_'#@#variant
0.831968492991 'coq/Coq_Reals_RIneq_Rmult_ne/1' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant
0.831968492991 'coq/Coq_Reals_Raxioms_Rmult_1_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant
0.831968492991 'coq/Coq_Reals_Raxioms_Rplus_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant
0.831968492991 'coq/Coq_NArith_BinNat_N_add_0_l' 'hl/thm/int/INT_ADD_LID_'#@#variant
0.831968492991 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_1_l'#@#variant 'hl/thm/arith/MULT_CLAUSES_2'#@#variant
0.831968492991 'coq/Coq_NArith_BinNat_N_mul_1_l'#@#variant 'hl/thm/int/INT_MUL_LID_'#@#variant
0.831968492991 'coq/Coq_ZArith_BinInt_Z_add_0_l' 'hl/thm/realax/REAL_ADD_LID_'#@#variant
0.831968492991 'coq/Coq_Reals_RIneq_Rplus_ne/1' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant
0.824514311134 'coq/Coq_NArith_BinNat_N_mul_divide_mono_r' 'hl/thm/Library/integer/INT_DIVIDES_MUL_R_'
0.824514311134 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_le_mono_l' 'hl/thm/arith/EXP_MONO_LE_IMP_'
0.824514311134 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_divide_mono_r' 'hl/thm/Library/prime/DIVIDES_MUL_R_'
0.807993169667 'coq/Coq_Arith_Lt_nat_total_order' 'hl/thm/Library/analysis/LESS_LESS_CASES_'
0.807993169667 'coq/Coq_Arith_PeanoNat_Nat_lt_trichotomy' 'hl/thm/Library/prime/LESS_LESS_CASES_'
0.807993169667 'coq/Coq_Arith_Compare_dec_not_eq' 'hl/thm/Library/prime/LESS_LESS_CASES_'
0.807993169667 'coq/Coq_Arith_PeanoNat_Nat_lt_trichotomy' 'hl/thm/Library/analysis/LESS_LESS_CASES_'
0.807993169667 'coq/Coq_Arith_Lt_nat_total_order' 'hl/thm/Library/prime/LESS_LESS_CASES_'
0.807993169667 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_total' 'hl/thm/arith/LT_CASES_'
0.807993169667 'coq/Coq_Arith_PeanoNat_Nat_lt_trichotomy' 'hl/thm/arith/LT_CASES_'
0.807993169667 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_total' 'hl/thm/Library/analysis/LESS_LESS_CASES_'
0.807993169667 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_trichotomy' 'hl/thm/Library/analysis/LESS_CASES_IMP_'
0.807993169667 'coq/Coq_ZArith_BinInt_Z_lt_total' 'hl/thm/real/REAL_LT_TOTAL_'
0.807993169667 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_trichotomy' 'hl/thm/arith/LT_CASES_'
0.807993169667 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_trichotomy' 'hl/thm/Library/analysis/LESS_LESS_CASES_'
0.807993169667 'coq/Coq_ZArith_BinInt_Z_lt_trichotomy' 'hl/thm/real/REAL_LT_TOTAL_'
0.807993169667 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_total' 'hl/thm/Library/analysis/LESS_CASES_IMP_'
0.807993169667 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_total' 'hl/thm/arith/LT_CASES_'
0.807993169667 'coq/Coq_Arith_PeanoNat_Nat_lt_total' 'hl/thm/Library/analysis/LESS_LESS_CASES_'
0.807993169667 'coq/Coq_Arith_Compare_dec_not_eq' 'hl/thm/Library/analysis/LESS_CASES_IMP_'
0.807993169667 'coq/Coq_NArith_BinNat_N_lt_total' 'hl/thm/int/INT_LT_TOTAL_'
0.807993169667 'coq/Coq_Arith_Compare_dec_not_eq' 'hl/thm/arith/LT_CASES_'
0.807993169667 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_trichotomy' 'hl/thm/Library/prime/LESS_LESS_CASES_'
0.807993169667 'coq/Coq_Arith_Lt_nat_total_order' 'hl/thm/Library/analysis/LESS_CASES_IMP_'
0.807993169667 'coq/Coq_Arith_Lt_nat_total_order' 'hl/thm/arith/LT_CASES_'
0.807993169667 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_total' 'hl/thm/Library/analysis/LESS_LESS_CASES_'
0.807993169667 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_total' 'hl/thm/Library/prime/LESS_LESS_CASES_'
0.807993169667 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_trichotomy' 'hl/thm/Library/analysis/LESS_CASES_IMP_'
0.807993169667 'coq/Coq_Arith_PeanoNat_Nat_lt_total' 'hl/thm/Library/analysis/LESS_CASES_IMP_'
0.807993169667 'coq/Coq_ZArith_Zorder_not_Zeq' 'hl/thm/real/REAL_LT_TOTAL_'
0.807993169667 'coq/Coq_Arith_PeanoNat_Nat_lt_total' 'hl/thm/Library/prime/LESS_LESS_CASES_'
0.807993169667 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_trichotomy' 'hl/thm/arith/LT_CASES_'
0.807993169667 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_trichotomy' 'hl/thm/Library/analysis/LESS_LESS_CASES_'
0.807993169667 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_total' 'hl/thm/Library/analysis/LESS_CASES_IMP_'
0.807993169667 'coq/Coq_Arith_PeanoNat_Nat_lt_trichotomy' 'hl/thm/Library/analysis/LESS_CASES_IMP_'
0.807993169667 'coq/Coq_NArith_BinNat_N_lt_trichotomy' 'hl/thm/int/INT_LT_TOTAL_'
0.807993169667 'coq/Coq_Arith_PeanoNat_Nat_lt_total' 'hl/thm/arith/LT_CASES_'
0.807993169667 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_total' 'hl/thm/Library/prime/LESS_LESS_CASES_'
0.807993169667 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_trichotomy' 'hl/thm/Library/prime/LESS_LESS_CASES_'
0.807993169667 'coq/Coq_Arith_Compare_dec_not_eq' 'hl/thm/Library/analysis/LESS_LESS_CASES_'
0.757926703117 'coq/Coq_NArith_BinNat_N_max_id' 'hl/thm/int/INT_MAX_ACI_3'
0.757926703117 'coq/Coq_NArith_BinNat_N_min_id' 'hl/thm/int/INT_MIN_ACI_3'
0.757926703117 'coq/Coq_ZArith_BinInt_Z_max_id' 'hl/thm/real/REAL_MAX_ACI_3'
0.757926703117 'coq/Coq_ZArith_BinInt_Z_min_id' 'hl/thm/real/REAL_MIN_ACI_3'
0.754472339618 'coq/Coq_NArith_BinNat_N_mul_shuffle3' 'hl/thm/int/INT_MUL_AC_2'
0.754472339618 'coq/Coq_NArith_BinNat_N_add_shuffle3' 'hl/thm/int/INT_ADD_AC_2'
0.754472339618 'coq/Coq_ZArith_BinInt_Z_mul_shuffle3' 'hl/thm/real/REAL_MUL_AC_2'
0.754472339618 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_shuffle3' 'hl/thm/arith/MULT_AC_2'
0.754472339618 'coq/Coq_ZArith_BinInt_Z_add_shuffle3' 'hl/thm/calc_int/REAL_ADD_AC_2'
0.754472339618 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_shuffle3' 'hl/thm/arith/ADD_AC_2'
0.748308426729 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_inj_wd' 'hl/thm/Library/transc/REAL_EXP_INJ_'
0.748308426729 'coq/Coq_ZArith_BinInt_Z_opp_inj_wd' 'hl/thm/real/REAL_EQ_NEG2_'
0.748308426729 'coq/Coq_Structures_OrdersEx_Nat_as_OT_succ_inj_wd' 'hl/thm/nums/SUC_INJ_'
0.748308426729 'coq/Coq_Structures_OrdersEx_Nat_as_DT_succ_inj_wd' 'hl/thm/nums/SUC_INJ_'
0.748308426729 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_inj_wd' 'hl/thm/Library/transc/ATN_INJ_'
0.748308426729 'coq/Coq_Arith_PeanoNat_Nat_succ_inj_wd' 'hl/thm/nums/SUC_INJ_'
0.683771873558 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_refl' 'hl/thm/Library/prime/DIVIDES_REFL_'
0.683771873558 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_refl' 'hl/thm/arith/LE_REFL_'
0.683771873558 'coq/Coq_Arith_PeanoNat_Nat_le_refl' 'hl/thm/arith/LE_REFL_'
0.683771873558 'coq/Coq_ZArith_BinInt_Z_le_refl' 'hl/thm/realax/REAL_LE_REFL_'
0.683771873558 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_refl' 'hl/thm/realax/NADD_LE_REFL_'
0.683771873558 'coq/Coq_NArith_BinNat_N_le_refl' 'hl/thm/int/INT_LE_REFL_'
0.683771873558 'coq/Coq_NArith_BinNat_N_divide_refl' 'hl/thm/Library/integer/INT_DIVIDES_REFL_'
0.683771873558 'coq/__constr_Coq_Init_Peano_le_0_1' 'hl/thm/arith/LE_REFL_'
0.683771873558 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_refl' 'hl/thm/arith/LE_REFL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_mod_idemp_l' 'hl/thm/arith/MOD_EXP_MOD_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_ldiff_diag' 'hl/thm/real/REAL_SUB_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_rem_opp_l_prime' 'hl/thm/calc_int/REAL_MUL_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_odd_0' 'hl/thm/Multivariate/complexes/RE_II_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_min_0_r' 'hl/thm/calc_int/REAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_0_r' 'hl/thm/Library/pocklington/ORDER_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LT_'
0. 'coq/Coq_Reals_Rtrigo1_tan_gt_0'#@#variant 'hl/thm/Multivariate/transcendentals/TAN_POS_PI2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_le_mono_nonneg_l'#@#variant 'hl/thm/real/REAL_LT_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_nlt_ge' 'hl/thm/int/INT_NOT_LE_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_gcd_greatest' 'hl/thm/Library/integer/INT_DIVIDES_SUB_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_total' 'hl/thm/real/REAL_LT_TOTAL_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_1_l'#@#variant 'hl/thm/arith/MULT_CLAUSES_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_even_1'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_even_0' 'hl/thm/nums/ZERO_DEF_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_diag' 'hl/thm/int/INT_SUB_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_null'#@#variant 'hl/thm/real/REAL_SGN_EQ_1'#@#variant
0. 'coq/Coq_ZArith_Znat_positive_N_nat' 'hl/thm/int/int_of_num_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_xO_r' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_cancel_r' 'hl/thm/realax/HREAL_EQ_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_opp_r' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_ge_cases' 'hl/thm/realarith/REAL_LTE_TOTAL_'
0. 'coq/Coq_Init_Peano_min_l' 'hl/thm/arith/MOD_LT_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_succ_l' 'hl/thm/Multivariate/transcendentals/REAL_INV_RPOW_'
0. 'coq/Coq_ZArith_Znumtheory_Zgcd_1_rel_prime'#@#variant 'hl/thm/arith/SUB_EQ_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_inj_wd' 'hl/thm/real/REAL_EQ_NEG2_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_1_l' 'hl/thm/arith/LE_0_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_cancel_l' 'hl/thm/int/INT_EQ_ADD_LCANCEL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pow_lt_mono_r'#@#variant 'hl/thm/real/REAL_LE_LMUL_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_lt_mono_r'#@#variant 'hl/thm/Library/analysis/REAL_LT_LMUL_IMP_'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_ge' 'hl/thm/realax/TREAL_OF_NUM_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_pos'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_even_0' 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_trichotomy' 'hl/thm/Library/analysis/LESS_CASES_IMP_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_incr_twice' 'hl/thm/calc_num/ARITH_9'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_le_mono_r' 'hl/thm/realax/HREAL_LE_ADD_RCANCEL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pred_succ' 'hl/thm/Multivariate/transcendentals/LOG_EXP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_nonneg_r'#@#variant 'hl/thm/real/REAL_LE_RMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_le_mono' 'hl/thm/realax/NADD_INV_WELLDEF_'
0. 'coq/Coq_ZArith_Znat_Z2N_inj_quot2' 'hl/thm/Complex/complexnumbers/CX_NEG_'
0. 'coq/Coq_ZArith_Znat_Z2N_inj_quot2' 'hl/thm/int/int_abs_th_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_sgn' 'hl/thm/int/int_neg_th_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_le_mono' 'hl/thm/Library/transc/ATN_MONO_LT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_pos'#@#variant 'hl/thm/int/INT_SGN_INEQS_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_divide/1' 'hl/thm/real/REAL_MIN_MIN_/1'
0. 'coq/Coq_ZArith_BinInt_Z_opp_max_distr' 'hl/thm/Multivariate/transcendentals/REAL_EXP_SUB_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_opp_l' 'hl/thm/Multivariate/transcendentals/REAL_INV_RPOW_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_cancel_r' 'hl/thm/calc_int/REAL_EQ_ADD_RCANCEL_'
0. 'coq/Coq_QArith_Qcanon_Qcle_not_lt' 'hl/thm/realarith/REAL_LTE_ANTISYM_'
0. 'coq/__constr_Coq_Arith_Even_even_1_1' 'hl/thm/Multivariate/transcendentals/LOG_POS_LT_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_log2_pos'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_POS_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_opp_r' 'hl/thm/arith/ADD_SUC_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div2_double' 'hl/thm/Multivariate/transcendentals/ATN_TAN_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_double_mul' 'hl/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_clearbit_spec_prime'#@#variant 'hl/thm/Complex/complexnumbers/complex_sub_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_rem_divide' 'hl/thm/Library/prime/DIVIDES_MOD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_le_mono_r'#@#variant 'hl/thm/real/REAL_LE_LMUL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_mul_below' 'hl/thm/int/INT_SUB_ABS_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_le_mono_nonneg_r'#@#variant 'hl/thm/real/REAL_LT_RMUL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_pred_succ' 'hl/thm/Multivariate/transcendentals/ATN_TAN_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_id' 'hl/thm/real/REAL_MAX_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_pos_nonneg'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_LE_1_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_odd' 'hl/thm/int/int_of_num_th_'
0. 'coq/Coq_Reals_RIneq_Rle_or_lt' 'hl/thm/realarith/REAL_LTE_TOTAL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_lt_mono'#@#variant 'hl/thm/Library/analysis/REAL_LT_MUL2_ALT_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_nonneg_l'#@#variant 'hl/thm/Library/analysis/REAL_LT_LMUL_IMP_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_le_alt_dichotomy' 'hl/thm/realax/HREAL_LE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lor_0_l' 'hl/thm/realax/HREAL_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_diag' 'hl/thm/real/REAL_MUL_2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_succ_diag_r' 'hl/thm/Library/analysis/LESS_SUC_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_le_compat_l' 'hl/thm/real/REAL_LT_LADD_IMP_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_cancel_l' 'hl/thm/int/INT_EQ_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_neg_pos'#@#variant 'hl/thm/int/INT_NEG_LT0_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lxor_0_l' 'hl/thm/realax/REAL_ADD_LID_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_lt_mono_l' 'hl/thm/realax/NADD_LE_LADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftr_div_pow2'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftl_mul_pow2'#@#variant 'hl/thm/Complex/complexnumbers/complex_sub_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_neq' 'hl/thm/int/INT_LT_IMP_NE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ldiff_land' 'hl/thm/real/REAL_SUB_RNEG_'
0. 'coq/Coq_NArith_BinNat_N_log2_up_null'#@#variant 'hl/thm/int/INT_SGN_EQ_2'#@#variant
0. 'coq/Coq_ZArith_Znat_Z2Nat_inj_pred' 'hl/thm/Complex/complex_transc/CX_CEXP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_max_l' 'hl/thm/real/REAL_MAX_MAX_/0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_sub_le_add_r' 'hl/thm/int/INT_LE_SUB_LADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_nle_gt' 'hl/thm/realax/real_lt_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_eq_cases' 'hl/thm/arith/LE_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_sub' 'hl/thm/real/REAL_SUB_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lxor_0_l' 'hl/thm/realax/REAL_ADD_LID_'#@#variant
0. 'coq/Coq_Init_Peano_plus_n_Sm' 'hl/thm/real/REAL_NEG_RMUL_'
0. 'coq/Coq_ZArith_BinInt_Z_div2_neg' 'hl/thm/real/REAL_SGN_INEQS_7'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_lt_mono_pos_r'#@#variant 'hl/thm/real/REAL_LT_DIV2_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_lt_mono_r' 'hl/thm/arith/LT_ADD_RCANCEL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_id' 'hl/thm/real/REAL_MAX_ACI_3'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_opp' 'hl/thm/Complex/complex_transc/CX_CCOS_'
0. 'coq/Coq_PArith_BinPos_Pos_le_1_l' 'hl/thm/arith/LE_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_le_compat_l' 'hl/thm/Library/prime/DIVIDES_MUL_L_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_lt_mono_r'#@#variant 'hl/thm/Library/analysis/REAL_LT_LMUL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_succ_diag_r' 'hl/thm/real/REAL_ABS_LE_'
0. 'coq/Coq_NArith_BinNat_N_gt_lt_iff' 'hl/thm/realax/real_ge_'
0. 'coq/Coq_NArith_BinNat_N_add_succ_r' 'hl/thm/real/REAL_NEG_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_lub_iff' 'hl/thm/int/INT_MAX_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_pos'#@#variant 'hl/thm/Library/pocklington/EVEN_PHI_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_divide_r' 'hl/thm/Library/prime/INDEX_TRIVIAL_BOUND_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_add_le' 'hl/thm/int/INT_ABS_TRIANGLE_'
0. 'coq/Coq_Bool_Bool_andb_diag' 'hl/thm/int/INT_MIN_ACI_3'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_iff' 'hl/thm/Multivariate/complexes/CX_INJ_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_le_compat_r' 'hl/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rgt_ge' 'hl/thm/int/INT_LT_IMP_LE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_quot_le_mono'#@#variant 'hl/thm/real/REAL_LT_RMUL_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_lub_r' 'hl/thm/Library/integer/INT_DIVIDES_LMUL2_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_lt_mono_r' 'hl/thm/int/INT_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_rem_opp_l_prime' 'hl/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div2_nonneg'#@#variant 'hl/thm/Multivariate/vectors/SQRT_LE_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_add_le' 'hl/thm/int/INT_ABS_TRIANGLE_'
0. 'coq/Coq_NArith_BinNat_N_mul_pos_cancel_l'#@#variant 'hl/thm/real/REAL_LT_MUL_EQ_0'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_succ_l' 'hl/thm/calc_int/REAL_MUL_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_le_compat_r' 'hl/thm/Library/prime/DIVIDES_MUL_R_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_lt_add_l' 'hl/thm/Library/prime/DIVIDES_LMUL_'
0. 'coq/Coq_ZArith_BinInt_Z_add_cancel_r' 'hl/thm/int/INT_EQ_ADD_RCANCEL_'
0. 'coq/Coq_ZArith_Zeven_Zeven_Sn' 'hl/thm/Library/transc/REAL_EXP_LT_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_factor_l' 'hl/thm/realax/HREAL_LE_ADD_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_abs_N' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_CX_'
0. 'coq/Coq_NArith_BinNat_N_le_pred_l' 'hl/thm/Library/pratt/PHI_LIMIT_'
0. 'coq/Coq_Reals_Raxioms_Rinv_l' 'hl/thm/realax/REAL_MUL_LINV_'#@#variant
0. 'coq/Coq_ZArith_Znat_Z2Nat_inj_succ'#@#variant 'hl/thm/Multivariate/complexes/CX_SQRT_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_le_lin'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_LE_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_pos_cancel_l'#@#variant 'hl/thm/Library/floor/INTEGER_ADD_EQ_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_0_l' 'hl/thm/arith/DIV_0_'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_scalar_norm_stable' 'hl/thm/Multivariate/realanalysis/POLYNOMIAL_FUNCTION_BERNOULLI_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_xO'#@#variant 'hl/thm/Multivariate/transcendentals/CX_COS_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_even_2' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_add_r' 'hl/thm/realax/NADD_LE_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_m1_0'#@#variant 'hl/thm/Multivariate/transcendentals/PI2_BOUNDS_1'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_even_1' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_lt_mono_l' 'hl/thm/int/INT_LT_LADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_max_lub_lt_iff' 'hl/thm/real/REAL_MAX_LT_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_odd_sub' 'hl/thm/int/INT_OF_NUM_SUB_'
0. 'coq/Coq_NArith_BinNat_N_odd_0' 'hl/thm/nums/ZERO_DEF_'
0. 'coq/Coq_Reals_RIneq_Ropp_mult_distr_l_reverse' 'hl/thm/int/INT_MUL_LNEG_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_le_compat_r' 'hl/thm/Library/prime/DIVIDES_EXP_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_even_0' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_le_sub_le_add_r' 'hl/thm/real/REAL_LT_SUB_RADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_le_mono' 'hl/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_eq_mul_1'#@#variant 'hl/thm/arith/ADD_EQ_0_'#@#variant
0. 'coq/Coq_fourier_Fourier_util_Rle_zero_pos_plus1'#@#variant 'hl/thm/Multivariate/complexes/REAL_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_pred_pos'#@#variant 'hl/thm/Library/transc/EXP_LN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_min_l' 'hl/thm/real/REAL_MIN_MIN_/0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_shuffle3' 'hl/thm/calc_int/REAL_ADD_AC_2'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_lt_le' 'hl/thm/arith/LT_ANTISYM_'
0. 'coq/Coq_QArith_QArith_base_Qmult_comm' 'hl/thm/realax/TREAL_ADD_SYM_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_le_lin'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_LT_X_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_neq_succ_0' 'hl/thm/nums/IND_SUC_0_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_is_pos'#@#variant 'hl/thm/real/REAL_LE_POW2_'#@#variant
0. 'coq/Coq_Reals_RIneq_IZR_ge' 'hl/thm/Library/calc_real/REAL_MONO_POW2_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_max_le_compat_r' 'hl/thm/arith/EXP_MONO_LE_IMP_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_square' 'hl/thm/Multivariate/transcendentals/CX_ATN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_diag' 'hl/thm/arith/BIT0_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_divide_iff' 'hl/thm/int/INT_LT_MIN_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_succ_diag_r' 'hl/thm/Library/analysis/LESS_EQ_SUC_REFL_'
0. 'coq/Coq_Reals_RIneq_opp_IZR' 'hl/thm/Complex/complex_transc/CX_CEXP_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pow_lt_mono_r_iff'#@#variant 'hl/thm/Library/analysis/REAL_LE_LMUL_LOCAL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_glb_lt' 'hl/thm/Library/integer/INT_DIVIDES_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_antisym' 'hl/thm/Library/analysis/LESS_EQUAL_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_refl' 'hl/thm/realax/TREAL_LE_REFL_'#@#variant
0. 'coq/Coq_QArith_Qminmax_Q_max_lub_l' 'hl/thm/Library/integer/INT_DIVIDES_RMUL2_'
0. 'coq/Coq_PArith_BinPos_Pos_mul_lt_mono_r' 'hl/thm/realax/HREAL_LE_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_le_mono_l' 'hl/thm/real/REAL_LE_LADD_'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_iff' 'hl/thm/realax/REAL_OF_NUM_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_le_incl' 'hl/thm/arith/LT_IMP_LE_'
0. 'coq/Coq_PArith_BinPos_Pos_succ_pred' 'hl/thm/Complex/complex_transc/CEXP_CLOG_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_iff' 'hl/thm/Multivariate/complexes/CX_INJ_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_land_diag' 'hl/thm/real/REAL_MIN_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_succ_diag_r' 'hl/thm/real/REAL_ABS_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ge_le_iff' 'hl/thm/arith/GT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_wf_0' 'hl/thm/Library/analysis/DORDER_NGE_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_digits/0'#@#variant 'hl/thm/int/INT_POS_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_sqrt_sqrt_up' 'hl/thm/Multivariate/transcendentals/REAL_EXP_LE_X_'#@#variant
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_IsTO_lt_total' 'hl/thm/real/REAL_LT_TOTAL_'
0. 'coq/Coq_ZArith_BinInt_Z_div2_nonneg'#@#variant 'hl/thm/int/INT_SGN_INEQS_0'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_eq_1'#@#variant 'hl/thm/arith/ADD_EQ_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_le_compat_l' 'hl/thm/Library/prime/DIVIDES_MUL_L_'
0. 'coq/Coq_ZArith_BinInt_Z_add_shuffle3' 'hl/thm/real/REAL_MIN_ACI_2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_le_mono' 'hl/thm/realax/NADD_INV_WELLDEF_'
0. 'coq/Coq_Bool_Bool_negb_xorb_l' 'hl/thm/Multivariate/transcendentals/REAL_INV_RPOW_'
0. 'coq/Coq_ZArith_BinInt_Z_lxor_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_pred_le' 'hl/thm/arith/LE_SUC_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ldiff_m1_l'#@#variant 'hl/thm/int/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_shuffle3' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_AC_2'
0. 'coq/Coq_NArith_BinNat_N_succ_inj_wd' 'hl/thm/calc_num/ARITH_54'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lxor_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_trichotomy' 'hl/thm/arith/LT_CASES_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_le_mono_pos_l'#@#variant 'hl/thm/Library/analysis/REAL_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_abs' 'hl/thm/Multivariate/transcendentals/CX_TAN_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_log2_up_pos'#@#variant 'hl/thm/Library/pratt/PHI_LOWERBOUND_2_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_succ_pred' 'hl/thm/Complex/complex_transc/CEXP_CLOG_'#@#variant
0. 'coq/Coq_Bool_Bool_negb_true_iff' 'hl/thm/Multivariate/transcendentals/REAL_EXP_EQ_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lor_lnot_diag'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_RINV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_le_mono_r' 'hl/thm/int/INT_LT_RADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_divide_mono_r' 'hl/thm/Library/prime/LESS_MONO_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_setbit_spec_prime'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_min_distr_l' 'hl/thm/arith/EXP_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_inj_wd' 'hl/thm/Multivariate/transcendentals/ATN_INJ_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_lt_mono_r' 'hl/thm/realax/NADD_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_le_trans' 'hl/thm/int/INT_LTE_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_lt_mono_r_iff'#@#variant 'hl/thm/int/INT_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_ge_le_iff' 'hl/thm/realax/real_ge_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div_same'#@#variant 'hl/thm/real/REAL_DIV_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_cancel_l' 'hl/thm/Library/analysis/REAL_EQ_LMUL2_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_pos'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_POS_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_refl' 'hl/thm/Multivariate/misc/GE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_le_compat_l' 'hl/thm/Library/integer/INT_DIVIDES_MUL_L_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_le_compat_r' 'hl/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_le_mono' 'hl/thm/Multivariate/transcendentals/ATN_MONO_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_max_distr' 'hl/thm/Library/transc/REAL_EXP_ADD_'
0. 'coq/Coq_Reals_Rtrigo_calc_sin_lb_ge_0'#@#variant 'hl/thm/Library/transc/SIN_POS_PI_LE_'#@#variant
0. 'coq/Coq_ZArith_Zpow_facts_Zpower_gt_1'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_LE_1_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pred_le_mono' 'hl/thm/Multivariate/transcendentals/ATN_MONO_LT_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_invc' 'hl/thm/int/int_abs_th_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_pos_cancel_r'#@#variant 'hl/thm/Library/floor/INTEGER_ADD_EQ_1'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_double_mul' 'hl/thm/Multivariate/transcendentals/REAL_ABS_RPOW_'
0. 'coq/Coq_Arith_PeanoNat_Nat_eq_le_incl' 'hl/thm/realax/TREAL_EQ_AP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_nonneg_nonpos'#@#variant 'hl/thm/real/REAL_NEG_GT0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_add_cancel_r' 'hl/thm/Complex/cpoly/POLY_DIVIDES_SUB_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lor_0_l' 'hl/thm/int/INT_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_lub_l' 'hl/thm/Library/integer/INT_DIVIDES_RMUL2_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_succ_l' 'hl/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_le_lin'#@#variant 'hl/thm/Library/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Reals_Rpower_arcsinh_lt' 'hl/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div2_nonneg'#@#variant 'hl/thm/real/REAL_SGN_INEQS_1'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_eq_0' 'hl/thm/realarith/REAL_ENTIRE_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_add_lt_sub_r' 'hl/thm/int/INT_LE_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_inj_wd' 'hl/thm/Library/transc/REAL_EXP_INJ_'
0. 'coq/Coq_Reals_RIneq_Rnot_gt_ge' 'hl/thm/realarith/REAL_LET_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_shuffle3' 'hl/thm/arith/ADD_AC_2'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_ge_le_iff' 'hl/thm/arith/GT_'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_reduce_lhyps_valid'#@#variant 'hl/thm/Library/multiplicative/MULTIPLICATIVE_PHI_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_le_compat_r' 'hl/thm/Library/prime/LESS_MONO_ADD_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_quot2' 'hl/thm/Complex/complexnumbers/CX_NEG_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_quot2' 'hl/thm/int/int_abs_th_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_neq_0_succ' 'hl/thm/Complex/complex_transc/CEXP_NONZERO_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_pos_cancel_r'#@#variant 'hl/thm/Library/floor/INTEGER_SUB_EQ_1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_odd_1'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftl_mul_pow2'#@#variant 'hl/thm/realax/real_sub_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_log2' 'hl/thm/Complex/complex_transc/CX_CEXP_'
0. 'coq/Coq_Sets_Uniset_leb_refl' 'hl/thm/realax/NADD_LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_le_compat_r' 'hl/thm/Library/prime/DIVIDES_EXP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div2_succ_double' 'hl/thm/Library/transc/ATN_TAN_'
0. 'coq/Coq_ZArith_Zorder_Zgt_asym' 'hl/thm/int/INT_LT_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_cancel_r' 'hl/thm/calc_int/REAL_EQ_ADD_RCANCEL_'
0. 'coq/Coq_PArith_BinPos_Pos_le_nlt' 'hl/thm/Library/analysis/real_le_'
0. 'coq/Coq_QArith_QArith_base_Qinv_le_0_compat'#@#variant 'hl/thm/Multivariate/transcendentals/REAL_COS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_le_mono_nonneg'#@#variant 'hl/thm/real/REAL_LT_MUL2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_factor_l' 'hl/thm/int/INT_MAX_MAX_/0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_opp_r' 'hl/thm/realax/real_sub_'
0. 'coq/Coq_NArith_BinNat_N_succ_pred_pos'#@#variant 'hl/thm/Multivariate/transcendentals/EXP_LOG_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rinv_0_lt_compat'#@#variant 'hl/thm/Library/floor/RATIONAL_NEG_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_lub_r' 'hl/thm/Library/integer/INT_DIVIDES_LMUL2_'
0. 'coq/Coq_ZArith_BinInt_Z2Pos_inj_sqrt' 'hl/thm/Multivariate/transcendentals/CX_COS_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_inj_wd' 'hl/thm/int/INT_EQ_NEG2_'
0. 'coq/Coq_ZArith_Znat_Zabs2N_inj_pred'#@#variant 'hl/thm/Multivariate/complexes/CX_SQRT_'#@#variant
0. 'coq/__constr_Coq_Arith_Even_even_1_1' 'hl/thm/Multivariate/transcendentals/REAL_EXP_LT_1_'#@#variant
0. 'coq/Coq_NArith_Ndist_ni_min_inf_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_le_compat_l' 'hl/thm/realax/NADD_LE_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_trichotomy' 'hl/thm/arith/LT_CASES_'
0. 'coq/Coq_Reals_Rminmax_R_min_le_compat_l' 'hl/thm/realax/NADD_LE_LMUL_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_lub_r' 'hl/thm/Library/integer/INT_DIVIDES_LMUL2_'
0. 'coq/Coq_Reals_Rfunctions_Rlt_pow' 'hl/thm/int/INT_POW_MONO_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_r' 'hl/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_sgn' 'hl/thm/int/INT_SGN_INT_SGN_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div_add_l' 'hl/thm/arith/DIV_MULT_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_max_distr' 'hl/thm/Multivariate/transcendentals/REAL_EXP_SUB_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_1_l'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant
0. 'coq/Coq_Reals_Rpower_ln_Rinv'#@#variant 'hl/thm/Library/transc/LN_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_pos'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_POS_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_l' 'hl/thm/int/INT_LE_LADD_IMP_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_cancel_l' 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_ADD_LCANCEL_'
0. 'coq/Coq_Reals_Ranalysis4_sinh_lt' 'hl/thm/arith/FACT_MONO_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_le_mono' 'hl/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_ge_cases' 'hl/thm/realarith/REAL_LTE_TOTAL_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_sqrt' 'hl/thm/int/int_neg_th_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_max_r' 'hl/thm/int/INT_MAX_MAX_/1'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_antisym' 'hl/thm/Library/analysis/LESS_EQUAL_ANTISYM_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_le_mono' 'hl/thm/Library/transc/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_max_l' 'hl/thm/int/INT_MAX_MAX_/0'
0. 'coq/Coq_ZArith_Zdiv_Z_mod_same_full' 'hl/thm/real/REAL_SUB_REFL_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_SIN_bound/1' 'hl/thm/Library/transc/ATN_BOUNDS_/1'#@#variant
0. 'coq/Coq_NArith_BinNat_N_even_0' 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant
0. 'coq/Coq_Reals_Ratan_ps_atan_opp' 'hl/thm/Library/transc/SIN_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_lt_mono_l' 'hl/thm/int/INT_LE_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_nlt_ge' 'hl/thm/int/INT_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_1_r'#@#variant 'hl/thm/calc_int/REAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_shiftr_opp_r' 'hl/thm/Complex/complexnumbers/complex_sub_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_lt_iff' 'hl/thm/int/INT_MIN_LE_'
0. 'coq/Coq_QArith_Qreduction_Qred_opp' 'hl/thm/Multivariate/transcendentals/SIN_NEG_'
0. 'coq/Coq_Reals_Rfunctions_pow_nonzero' 'hl/thm/int/INT_POW_NZ_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zplus_le_compat_r' 'hl/thm/Library/prime/DIVIDES_MUL_R_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_add_le_sub_r' 'hl/thm/Library/analysis/SUB_LEFT_GREATER_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_add_r' 'hl/thm/Library/integer/INT_DIVIDES_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_cancel_r' 'hl/thm/calc_int/REAL_EQ_ADD_RCANCEL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div2_double' 'hl/thm/arith/PRE_1'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_refl' 'hl/thm/realax/NADD_EQ_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_odd_sub' 'hl/thm/real/REAL_OF_NUM_SUB_'
0. 'coq/Coq_Reals_Rpower_arcsinh_le' 'hl/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Numbers_Cyclic_DoubleCyclic_DoubleBase_wB_pos'#@#variant 'hl/thm/realarith/REAL_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_succ_r' 'hl/thm/arith/ADD_SUC_'
0. 'coq/Coq_QArith_QArith_base_Qinv_le_0_compat'#@#variant 'hl/thm/Library/pratt/PHI_LOWERBOUND_1_STRONG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_lub_l' 'hl/thm/Library/prime/DIVIDES_RMUL2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_2' 'hl/thm/realax/HREAL_INV_0_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_le_compat_r' 'hl/thm/Library/integer/INT_DIVIDES_MUL_R_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_pos_cancel_l'#@#variant 'hl/thm/real/REAL_LT_MUL_EQ_0'#@#variant
0. 'coq/Coq_Numbers_Cyclic_DoubleCyclic_DoubleBase_lt_0_wwB'#@#variant 'hl/thm/Multivariate/transcendentals/RE_CACS_BOUNDS_/0'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_opp' 'hl/thm/Complex/complex_transc/CX_CSIN_'
0. 'coq/Coq_QArith_Qround_Qceiling_Z' 'hl/thm/Multivariate/complexes/RE_CX_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div_le_upper_bound' 'hl/thm/arith/LE_LDIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_refl' 'hl/thm/realax/NADD_EQ_REFL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_sub_r' 'hl/thm/Library/prime/DIVIDES_ADD_'
0. 'coq/Coq_ZArith_BinInt_Z_sgn_null_iff' 'hl/thm/real/REAL_INV_EQ_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_1' 'hl/thm/Library/pratt/PHI_0_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_add_lt_sub_r' 'hl/thm/int/INT_LE_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftr_opp_r' 'hl/thm/int/INT_SUB_RNEG_'
0. 'coq/Coq_Arith_PeanoNat_Nat_div2_double'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_TAN_'
0. 'coq/Coq_Bool_Bool_orb_false_l' 'hl/thm/realax/REAL_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_lteq' 'hl/thm/int/INT_LE_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_le_compat_l' 'hl/thm/Library/prime/DIVIDES_MUL_L_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lcm_assoc' 'hl/thm/realax/NADD_ADD_ASSOC_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_0_l' 'hl/thm/realax/REAL_ADD_LID_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_max_le_iff' 'hl/thm/int/INT_LT_MAX_'
0. 'coq/Coq_QArith_Qcanon_Qred_involutive' 'hl/thm/int/INT_ABS_ABS_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sub_add' 'hl/thm/arith/SUB_ADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_min_distr' 'hl/thm/realax/NADD_LDISTRIB_'
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_Ropp' 'hl/thm/calc_int/REAL_ABS_NEG_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_neq_0_lt_0'#@#variant 'hl/thm/arith/LT_NZ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_pos'#@#variant 'hl/thm/Library/floor/INTEGER_ABS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_inj_wd' 'hl/thm/Multivariate/vectors/SQRT_INJ_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_inv_normc' 'hl/thm/int/int_sgn_th_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lxor_nilpotent' 'hl/thm/real/REAL_SUB_REFL_'#@#variant
0. 'coq/Coq_Bool_Bool_negb_involutive_reverse' 'hl/thm/calc_int/REAL_NEG_NEG_'
0. 'coq/Coq_Arith_PeanoNat_Nat_odd_1'#@#variant 'hl/thm/Multivariate/complexes/IM_II_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_nle_gt' 'hl/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_ZArith_Zlogarithm_log_inf_correct/0'#@#variant 'hl/thm/real/REAL_LT_POW2_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_invc' 'hl/thm/int/int_sgn_th_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_0_r'#@#variant 'hl/thm/Library/prime/INDEX_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_pos'#@#variant 'hl/thm/Library/pocklington/EVEN_PHI_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_lt_lin' 'hl/thm/Multivariate/transcendentals/LOG_LT_X_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lxor_0_l' 'hl/thm/arith/ADD_CLAUSES_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_le_mono_r' 'hl/thm/int/INT_LE_RADD_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_lub_l' 'hl/thm/Library/integer/INT_DIVIDES_RMUL2_'
0. 'coq/Coq_ZArith_Znat_Z2N_inj_pred' 'hl/thm/Multivariate/transcendentals/CX_TAN_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_abs' 'hl/thm/Complex/complex_transc/CX_CCOS_'
0. 'coq/Coq_PArith_BinPos_Pos_pred_double_succ' 'hl/thm/calc_num/ARITH_9'
0. 'coq/Coq_Reals_RList_RList_P1' 'hl/thm/Library/floor/INTEGER_POW_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_2' 'hl/thm/int/INT_ABS_0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_0_r' 'hl/thm/arith/MULT_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_refl' 'hl/thm/realax/HREAL_LE_REFL_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_oppc' 'hl/thm/Multivariate/transcendentals/CX_ATN_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_le_mono' 'hl/thm/Library/floor/FLOOR_MONO_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_neq' 'hl/thm/int/INT_LT_IMP_NE_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_pos' 'hl/thm/int/int_of_num_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_succ_l' 'hl/thm/arith/LE_SUC_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_setbit_spec_prime'#@#variant 'hl/thm/Complex/complexnumbers/complex_div_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_succ' 'hl/thm/Multivariate/transcendentals/CSIN_CASN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_le_mono' 'hl/thm/Library/transc/ATN_MONO_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_succ_le' 'hl/thm/Library/floor/FLOOR_DOUBLE_/0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_1' 'hl/thm/nums/BIT0_DEF_0'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_eq_cases' 'hl/thm/arith/LE_LT_'
0. 'coq/Coq_Reals_Rtrigo_def_cos_sym' 'hl/thm/Library/transc/COS_NEG_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mod_1_r'#@#variant 'hl/thm/arith/MOD_1_'#@#variant
0. 'coq/Coq_Bool_Bool_eqb_negb1' 'hl/thm/int/INT_ADD_LINV_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_succ' 'hl/thm/Multivariate/transcendentals/CCOS_CACS_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_mul_norm' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_TRIANGLE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_divide_mono_l' 'hl/thm/realax/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_total' 'hl/thm/Library/prime/LESS_LESS_CASES_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_is_nonneg'#@#variant 'hl/thm/realarith/REAL_POS_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_add_le' 'hl/thm/real/REAL_ABS_TRIANGLE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_refl' 'hl/thm/realax/NADD_EQ_REFL_'
0. 'coq/Coq_Lists_List_app_length' 'hl/thm/lists/LENGTH_APPEND_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_le_mono' 'hl/thm/Library/transc/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_ZArith_BinInt_Z_le_pred_l' 'hl/thm/Library/pocklington/PHI_LIMIT_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_nlt' 'hl/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_PArith_Pnat_Nat2Pos_inj_pred' 'hl/thm/Multivariate/transcendentals/CX_COS_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_shuffle3' 'hl/thm/arith/MULT_AC_2'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_le_lin'#@#variant 'hl/thm/Library/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_move_r' 'hl/thm/int/INT_EQ_SUB_RADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_glb' 'hl/thm/Library/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_ZArith_Zpower_two_power_nat_S'#@#variant 'hl/thm/Complex/complex_transc/CX_CEXP_'
0. 'coq/Coq_Reals_RIneq_Rnot_lt_le' 'hl/thm/arith/LET_CASES_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_lt_mono_nonneg'#@#variant 'hl/thm/real/REAL_LE_MUL2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div2_succ_double' 'hl/thm/Multivariate/transcendentals/CSIN_CASN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pred_succ' 'hl/thm/Library/transc/LN_EXP_'
0. 'coq/Coq_Reals_RIneq_cond_nonneg'#@#variant 'hl/thm/Multivariate/transcendentals/ARG_/0'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zplus_lt_compat_r' 'hl/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_lt_mono_r' 'hl/thm/int/INT_LE_RADD_'
0. 'coq/Coq_ZArith_Znat_Z2N_inj_pred' 'hl/thm/int/int_abs_th_'
0. 'coq/Coq_Reals_RIneq_Ropp_Ropp_IZR' 'hl/thm/Complex/complex_transc/CX_CCOS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_pred_l' 'hl/thm/calc_int/REAL_MUL_LNEG_'
0. 'coq/Coq_ZArith_Znat_Zabs2N_inj_neg' 'hl/thm/int/int_of_num_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_even_1'#@#variant 'hl/thm/nums/ZERO_DEF_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div2_nonneg' 'hl/thm/real/REAL_SGN_INEQS_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_le_mono_nonneg'#@#variant 'hl/thm/Library/analysis/REAL_LT_MUL2_ALT_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_mul_lt_mono_r' 'hl/thm/realax/NADD_LE_RADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_le_mono_nonneg'#@#variant 'hl/thm/Library/analysis/REAL_LT_MUL2_ALT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_lt_add_l' 'hl/thm/Library/prime/DIVIDES_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_size_nat_monotone' 'hl/thm/Library/calc_real/REAL_MONO_POW2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gt_lt_iff' 'hl/thm/realax/real_gt_'
0. 'coq/Coq_Reals_ROrderedType_ROrder_le_antisym' 'hl/thm/Library/analysis/LESS_EQUAL_ANTISYM_'
0. 'coq/Coq_ZArith_BinInt_Z_div2_nonneg'#@#variant 'hl/thm/Multivariate/vectors/SQRT_LE_0_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_0_r' 'hl/thm/calc_int/REAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_ZArith_Znat_Z2N_inj_0' 'hl/thm/nums/ZERO_DEF_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pow_lt_mono_r'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_move_r' 'hl/thm/int/INT_EQ_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lnot_0_l' 'hl/thm/realarith/REAL_POLY_NEG_CLAUSES_0'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_succ' 'hl/thm/Complex/complex_transc/CX_CEXP_'
0. 'coq/Coq_ZArith_BinInt_Z_lnot_lxor_r' 'hl/thm/calc_int/REAL_MUL_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_shuffle3' 'hl/thm/calc_int/REAL_ADD_AC_2'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_reduce_lhyps_valid'#@#variant 'hl/thm/Library/multiplicative/MULTIPLICATIVE_SIGMA_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_lub_r' 'hl/thm/Library/integer/INT_DIVIDES_LMUL2_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_opp' 'hl/thm/calc_num/ARITH_2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_shuffle3' 'hl/thm/realax/HREAL_ADD_AC_2'
0. 'coq/Coq_ZArith_BinInt_Z_sgn_nonneg'#@#variant 'hl/thm/real/REAL_LT_INV_EQ_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_eq_le_incl' 'hl/thm/arith/EQ_IMP_LE_'
0. 'coq/Coq_NArith_BinNat_N_gcd_greatest' 'hl/thm/Complex/cpoly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_refl' 'hl/thm/Library/prime/DIVIDES_REFL_'
0. 'coq/Coq_PArith_BinPos_Pos_lt_nle' 'hl/thm/Library/analysis/real_le_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_lteq' 'hl/thm/int/INT_LE_LT_'
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_lt_lin'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_LE_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_pred_l' 'hl/thm/arith/ADD_CLAUSES_2'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_pred_succ' 'hl/thm/Multivariate/transcendentals/LOG_EXP_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_neg'#@#variant 'hl/thm/int/INT_NEG_LE0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_eq'#@#variant 'hl/thm/Library/floor/REAL_FLOOR_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_even_2'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_le_0_sub'#@#variant 'hl/thm/int/INT_SUB_LT_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_pos'#@#variant 'hl/thm/Multivariate/complexes/REAL_INV_EQ_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_lt_mono_r' 'hl/thm/arith/LE_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_nge' 'hl/thm/arith/NOT_LT_'
0. 'coq/Coq_Reals_Ratan_atan_opp' 'hl/thm/calc_num/ARITH_2'
0. 'coq/Coq_Reals_Raxioms_Rplus_0_l' 'hl/thm/int/INT_MUL_LID_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_ldiff' 'hl/thm/real/REAL_SUB_LNEG_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_gt_cases' 'hl/thm/int/INT_LTE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_lt_lin' 'hl/thm/Multivariate/transcendentals/LOG_LT_X_'
0. 'coq/Coq_NArith_BinNat_N_mod_small' 'hl/thm/arith/MOD_LT_'
0. 'coq/Coq_NArith_BinNat_N_sqrt_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LE_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_succ_r' 'hl/thm/arith/ADD_SUC_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_lxor_r' 'hl/thm/int/INT_MUL_RNEG_'
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_l' 'hl/thm/realax/NADD_LE_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_eq_mul_1'#@#variant 'hl/thm/arith/ADD_EQ_0_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rmult_lt_compat_r'#@#variant 'hl/thm/int/INT_LE_RMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_div_small_iff' 'hl/thm/arith/DIV_EQ_0_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_Rinv' 'hl/thm/Library/analysis/ABS_INV_'#@#variant
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_lt_total' 'hl/thm/real/REAL_LT_TOTAL_'
0. 'coq/Coq_QArith_Qcanon_Qcnot_le_lt' 'hl/thm/int/INT_LET_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_ge_cases' 'hl/thm/int/INT_LE_TOTAL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_greatest' 'hl/thm/Library/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_shuffle3' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_AC_2'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_pos'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_POS_LT_'#@#variant
0. 'coq/Coq_Reals_R_sqrt_sqrt_positivity'#@#variant 'hl/thm/Library/pocklington/PHI_LOWERBOUND_1_STRONG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_move_r' 'hl/thm/real/REAL_EQ_SUB_RADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_1_l'#@#variant 'hl/thm/realax/HREAL_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_opp_l' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_lor' 'hl/thm/Complex/complex_transc/CEXP_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lcm_eq_0' 'hl/thm/realarith/REAL_ENTIRE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_lub_l' 'hl/thm/Library/integer/INT_DIVIDES_RMUL2_'
0. 'coq/Coq_ZArith_Znat_Zabs2N_inj_pos' 'hl/thm/int/int_of_num_th_'
0. 'coq/Coq_NArith_BinNat_N_pow_lt_mono_r_iff'#@#variant 'hl/thm/int/INT_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_diag'#@#variant 'hl/thm/arith/BIT0_'
0. 'coq/Coq_ZArith_Zgcd_alt_fibonacci_pos'#@#variant 'hl/thm/int/INT_POS_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_div2' 'hl/thm/Complex/complex_transc/CX_CEXP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ones_equiv'#@#variant 'hl/thm/nums/BIT1_DEF_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_le_mono_l' 'hl/thm/real/REAL_LE_LADD_'
0. 'coq/Coq_Bool_Bool_orb_false_l' 'hl/thm/realax/HREAL_ADD_LID_'#@#variant
0. 'coq/Coq_Reals_RIneq_cond_nonneg'#@#variant 'hl/thm/realarith/REAL_POS_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_null_iff' 'hl/thm/real/REAL_ABS_ZERO_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_pred_pos'#@#variant 'hl/thm/Multivariate/transcendentals/EXP_LOG_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_pos'#@#variant 'hl/thm/Library/integer/INT_PRIME_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lxor_0_l' 'hl/thm/realax/REAL_MUL_LID_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_lt_lin'#@#variant 'hl/thm/Library/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_lor' 'hl/thm/Multivariate/transcendentals/REAL_EXP_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_pow' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_LMUL_'
0. 'coq/Coq_ZArith_Zdiv_Zdiv_opp_opp' 'hl/thm/arith/SUB_SUC_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_pred_le' 'hl/thm/Library/analysis/OR_LESS_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_le_iff' 'hl/thm/real/REAL_LT_MAX_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_lteq' 'hl/thm/int/INT_LE_LT_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_nlt' 'hl/thm/realax/real_lt_'
0. 'coq/Coq_Arith_PeanoNat_Nat_succ_pred' 'hl/thm/Complex/complex_transc/CEXP_CLOG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_ge_le_iff' 'hl/thm/arith/GE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_cancel_l' 'hl/thm/Library/analysis/REAL_EQ_LMUL2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_sub_le_add_r' 'hl/thm/int/INT_LT_SUB_LADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_succ_inj_wd' 'hl/thm/calc_num/ARITH_57'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lxor_0_l' 'hl/thm/realax/REAL_MUL_LID_'#@#variant
0. 'coq/Coq_Reals_Rpower_ln_increasing'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_MONO_LE_IMP_'#@#variant
0. 'coq/Coq_ZArith_Zdiv_Z_div_same_full'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_DIV_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_ngt' 'hl/thm/realarith/REAL_NOT_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_lt_lin'#@#variant 'hl/thm/Library/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_shuffle3' 'hl/thm/real/REAL_MAX_ACI_2'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_mod_idemp_l' 'hl/thm/arith/MOD_MULT_LMOD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_pos'#@#variant 'hl/thm/real/REAL_SGN_INEQS_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_even_2'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_opp_r' 'hl/thm/real/REAL_SUB_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_pos'#@#variant 'hl/thm/Multivariate/complexes/REAL_INV_EQ_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_nlt_ge' 'hl/thm/int/INT_NOT_LT_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_pos_cancel_r'#@#variant 'hl/thm/int/INT_LT_MUL_EQ_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_succ_l' 'hl/thm/Multivariate/transcendentals/REAL_ABS_RPOW_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_le_trans' 'hl/thm/int/INT_LTE_TRANS_'
0. 'coq/Coq_NArith_BinNat_N_le_refl' 'hl/thm/realax/HREAL_LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_reg_l' 'hl/thm/real/REAL_EQ_LCANCEL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_le_compat_r' 'hl/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_0_l' 'hl/thm/realax/HREAL_ADD_LID_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_max_distr_l' 'hl/thm/arith/EXP_ADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_sub_le_add_r' 'hl/thm/real/REAL_LT_SUB_LADD_'
0. 'coq/Coq_ZArith_BinInt_Z_add_shuffle3' 'hl/thm/arith/ADD_AC_2'
0. 'coq/Coq_ZArith_Zgcd_alt_fibonacci_pos'#@#variant 'hl/thm/real/REAL_LT_POW2_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rplus_le_compat_r' 'hl/thm/Library/analysis/LESS_MONO_ADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_nonneg' 'hl/thm/Multivariate/transcendentals/ATN_BOUNDS_/0'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_opp_l' 'hl/thm/arith/ADD_CLAUSES_2'
0. 'coq/Coq_ZArith_BinInt_Z_pred_inj_wd' 'hl/thm/Multivariate/complexes/CNJ_INJ_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_eq_mul_0' 'hl/thm/arith/MULT_EQ_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pred_succ' 'hl/thm/Multivariate/transcendentals/CCOS_CACS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_2' 'hl/thm/calc_int/REAL_NEG_0_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_factor_r' 'hl/thm/int/INT_MAX_MAX_/1'
0. 'coq/Coq_NArith_BinNat_N_lt_eq_cases' 'hl/thm/realarith/REAL_LE_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_pred_r' 'hl/thm/int/INT_MUL_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_pos_nonneg'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_LT_1_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_gcd_comm' 'hl/thm/realax/TREAL_MUL_SYM_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_pos'#@#variant 'hl/thm/Library/floor/INTEGER_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_quot_mul' 'hl/thm/real/REAL_DIV_RMUL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_even_opp' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_CNJ_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_pos'#@#variant 'hl/thm/Library/transc/LN_POS_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_divide' 'hl/thm/int/INT_OF_NUM_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_alt_dichotomy' 'hl/thm/realax/NADD_LE_TOTAL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_glb' 'hl/thm/Complex/cpoly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftr_succ_r' 'hl/thm/Multivariate/transcendentals/RPOW_NEG_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_lt_m1_0'#@#variant 'hl/thm/Library/transc/PI2_BOUNDS_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_divide_mono_r' 'hl/thm/realax/HREAL_LE_MUL_RCANCEL_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_le_compat_r' 'hl/thm/realax/NADD_LE_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_glb_iff' 'hl/thm/int/INT_LE_MIN_'
0. 'coq/Coq_QArith_QArith_base_Qlt_irrefl' 'hl/thm/realarith/REAL_LT_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_max_distr' 'hl/thm/Library/transc/REAL_EXP_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_alt_dichotomy' 'hl/thm/arith/LE_CASES_'
0. 'coq/Coq_Arith_PeanoNat_Nat_min_le_compat_l' 'hl/thm/realax/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lnot_0_l' 'hl/thm/realarith/REAL_POLY_NEG_CLAUSES_0'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_pos'#@#variant 'hl/thm/Library/pocklington/EVEN_PHI_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_tan_neg' 'hl/thm/Multivariate/vectors/SQRT_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_nonneg_cancel_l'#@#variant 'hl/thm/int/INT_LE_MUL_EQ_0'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_le_compat_l' 'hl/thm/Library/integer/INT_DIVIDES_MUL_L_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_glb_lt' 'hl/thm/Library/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Reals_Raxioms_Rmult_1_l' 'hl/thm/int/INT_MUL_LID_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rinv_0_lt_compat'#@#variant 'hl/thm/Multivariate/vectors/SQRT_POS_LE_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_pos'#@#variant 'hl/thm/Multivariate/vectors/SQRT_LE_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_asymm' 'hl/thm/arith/LT_ANTISYM_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_max_distr' 'hl/thm/Library/transc/REAL_EXP_ADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_double_succ' 'hl/thm/nums/BIT0_DEF_1'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_1_l' 'hl/thm/Complex/complexnumbers/COMPLEX_POLY_NEG_CLAUSES_0'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_lt_mono_pos_l'#@#variant 'hl/thm/Library/analysis/REAL_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rle_max_compat_r' 'hl/thm/Library/prime/LESS_MONO_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_sub_le_add_r' 'hl/thm/int/INT_LE_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_refl' 'hl/thm/arith/LE_REFL_'
0. 'coq/Coq_QArith_Qcanon_Qcnot_lt_le' 'hl/thm/arith/LET_CASES_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_1'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_le_mono' 'hl/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_ZArith_Znumtheory_rel_prime_mult' 'hl/thm/Library/prime/DIVIDES_SUB_'
0. 'coq/Coq_PArith_BinPos_Pos_mul_lt_mono_l' 'hl/thm/realax/HREAL_LE_ADD_LCANCEL_'
0. 'coq/Coq_ZArith_Znat_Zabs2N_id' 'hl/thm/int/NUM_OF_INT_OF_NUM_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_lt_iff' 'hl/thm/int/INT_LT_MAX_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_trichotomy' 'hl/thm/arith/LT_CASES_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lor_diag' 'hl/thm/int/INT_MAX_ACI_3'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_1_l' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_LZERO_'#@#variant
0. 'coq/Coq_Arith_Max_max_idempotent' 'hl/thm/real/REAL_MAX_ACI_3'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_lt_lin' 'hl/thm/Multivariate/transcendentals/ATN_LE_X_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div_mul' 'hl/thm/real/REAL_DIV_RMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_le_lin'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_LE_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_0_l' 'hl/thm/arith/ADD_CLAUSES_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_pred' 'hl/thm/Complex/complex_transc/CEXP_CLOG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_mul_r' 'hl/thm/Library/prime/EXP_EXP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_reg_l' 'hl/thm/Library/analysis/REAL_EQ_LMUL_IMP_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_min_0_r' 'hl/thm/calc_int/REAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_le_lteq' 'hl/thm/arith/LE_LT_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_1'#@#variant 'hl/thm/Multivariate/complexes/RE_II_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_abs' 'hl/thm/Complex/complex_transc/CX_CSIN_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pred_le_mono' 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_lt_add_r' 'hl/thm/Library/prime/DIVIDES_RMUL_'
0. 'coq/Coq_ZArith_BinInt_Z_abs_sgn' 'hl/thm/real/REAL_SGN_ABS_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_nlt_ge' 'hl/thm/arith/NOT_LT_'
0. 'coq/Coq_Reals_Ratan_atan_right_inv' 'hl/thm/Library/transc/ATN_/2'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_eq_le_incl' 'hl/thm/realax/TREAL_EQ_AP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_le_mono_l' 'hl/thm/real/REAL_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_le_mono' 'hl/thm/Library/floor/FLOOR_MONO_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_pos'#@#variant 'hl/thm/Library/transc/LN_POS_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_eq_opp_r' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_EQ_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_lt_0_2' 'hl/thm/Library/transc/PI2_BOUNDS_1'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_cos_minus' 'hl/thm/Library/transc/COS_ADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_le_mono_l' 'hl/thm/realax/NADD_LE_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_even_2'#@#variant 'hl/thm/Multivariate/complexes/RE_II_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rinv_0_lt_compat'#@#variant 'hl/thm/Multivariate/transcendentals/REAL_TAN_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_lt_0_1' 'hl/thm/Library/transc/PI2_BOUNDS_1'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sub_le_mono_r' 'hl/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_opp_r' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_RMUL_'
0. 'coq/Coq_Arith_Max_max_lub_r' 'hl/thm/Library/integer/INT_DIVIDES_LMUL2_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_0_r' 'hl/thm/Library/prime/INDEX_0_'#@#variant
0. 'coq/Coq_Reals_Exp_prop_div2_not_R0'#@#variant 'hl/thm/Library/transc/LN_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_involutive' 'hl/thm/Complex/complexnumbers/COMPLEX_INV_INV_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_xI_succ_xO' 'hl/thm/nums/BIT1_DEF_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_pred_l' 'hl/thm/arith/MULT_1'
0. 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_le_lt_iff' 'hl/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_lt_mono_r' 'hl/thm/int/INT_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_alt_dichotomy' 'hl/thm/int/INT_LE_TOTAL_'
0. 'coq/Coq_Reals_Rfunctions_pow_add' 'hl/thm/Complex/complexnumbers/COMPLEX_POW_ADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_le_compat_r' 'hl/thm/Library/prime/DIVIDES_EXP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_refl' 'hl/thm/realax/NADD_EQ_REFL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_lt_mono_l' 'hl/thm/real/REAL_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_divide_mono_l' 'hl/thm/real/REAL_LT_LADD_IMP_'
0. 'coq/Coq_Bool_Bool_xorb_true_r' 'hl/thm/arith/ADD1_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_succ_inj_wd' 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_NEG2_'
0. 'coq/Coq_Arith_PeanoNat_Nat_max_le_compat_r' 'hl/thm/arith/EXP_MONO_LE_IMP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_lt_mono_r'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_min_r' 'hl/thm/real/REAL_MIN_MIN_/1'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_lt_iff' 'hl/thm/real/REAL_MIN_LE_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_sub_l' 'hl/thm/int/INT_MIN_MIN_/0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_ge_cases' 'hl/thm/realarith/REAL_LET_TOTAL_'
0. 'coq/Coq_Reals_Rfunctions_pow_nonzero' 'hl/thm/real/REAL_POW_NZ_'#@#variant
0. 'coq/Coq_Reals_Ranalysis4_sinh_lt' 'hl/thm/Library/floor/FLOOR_MONO_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_le_compat_l' 'hl/thm/realax/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_trichotomy' 'hl/thm/real/REAL_LT_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_inj_wd' 'hl/thm/Multivariate/vectors/SQRT_INJ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_eq_opp_l' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_EQ_'
0. 'coq/Coq_NArith_BinNat_N_neq_0_succ' 'hl/thm/Library/transc/REAL_EXP_NZ_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_lt_iff' 'hl/thm/int/INT_MIN_LE_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_double' 'hl/thm/Complex/complex_transc/CX_CCOS_'
0. 'coq/Coq_ZArith_BinInt_Z_lnot_lxor_r' 'hl/thm/int/INT_MUL_RNEG_'
0. 'coq/__constr_Coq_Arith_Even_even_1_1' 'hl/thm/Library/pocklington/PHI_LOWERBOUND_2_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_pos_nonneg'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_LT_1_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sub_le_mono_r' 'hl/thm/int/INT_LT_RADD_'
0. 'coq/Coq_ZArith_Znumtheory_rel_prime_1'#@#variant 'hl/thm/arith/LE_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_le_mono' 'hl/thm/Library/transc/ATN_MONO_LT_'
0. 'coq/Coq_ZArith_Zorder_Zlt_0_le_0_pred'#@#variant 'hl/thm/Library/transc/LN_POS_'#@#variant
0. 'coq/Coq_QArith_QOrderedType_QOrder_le_refl' 'hl/thm/realax/TREAL_LE_REFL_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_divide_mono_l' 'hl/thm/realax/NADD_MUL_WELLDEF_LEMMA_'
0. 'coq/Coq_ZArith_BinInt_Z_gt_lt_iff' 'hl/thm/arith/GE_'
0. 'coq/Coq_ZArith_BinInt_Z_add_move_0_r' 'hl/thm/Complex/complexnumbers/COMPLEX_LNEG_UNIQ_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_max_0_l' 'hl/thm/int/INT_MUL_LID_'#@#variant
0. 'coq/Coq_ZArith_Zquot_Zrem_opp_l' 'hl/thm/Multivariate/transcendentals/REAL_INV_RPOW_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_setbit_spec_prime'#@#variant 'hl/thm/Multivariate/complexes/complex_div_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lt_add_lt_sub_r' 'hl/thm/Library/analysis/SUB_LEFT_GREATER_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_1_l'#@#variant 'hl/thm/realarith/REAL_POLY_NEG_CLAUSES_0'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_2' 'hl/thm/Library/transc/SQRT_0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_lt_mono_r' 'hl/thm/arith/LE_ADD_RCANCEL_'
0. 'coq/Coq_PArith_BinPos_Pos_mul_cancel_r' 'hl/thm/calc_int/REAL_EQ_ADD_RCANCEL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_le_compat_l' 'hl/thm/realax/NADD_MUL_WELLDEF_LEMMA_'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_succ' 'hl/thm/Complex/complex_transc/CX_CSIN_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_0_l' 'hl/thm/realax/REAL_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_succ_diag_r' 'hl/thm/arith/LT_POW2_REFL_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_power_pos' 'hl/thm/real/REAL_POW_LE_1_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_max_le_compat_l' 'hl/thm/realax/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_lt_mono_pos_l'#@#variant 'hl/thm/Library/analysis/REAL_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_odd_0' 'hl/thm/Multivariate/complexes/IM_II_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_lt_iff' 'hl/thm/real/REAL_MIN_LT_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lxor_0_l' 'hl/thm/realax/HREAL_ADD_LID_'#@#variant
0. 'coq/Coq_Reals_ROrderedType_ROrder_lt_irrefl' 'hl/thm/realarith/REAL_LT_REFL_'
0. 'coq/Coq_ZArith_Zorder_Zgt_succ' 'hl/thm/Library/pocklington/PHI_LIMIT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_neq_0_succ' 'hl/thm/arith/FACT_NZ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_refl' 'hl/thm/realax/NADD_EQ_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_odd_spec' 'hl/thm/Multivariate/complexes/real_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_succ_l' 'hl/thm/Multivariate/transcendentals/RPOW_INV_'
0. 'coq/Coq_NArith_BinNat_N_mul_1_l'#@#variant 'hl/thm/realax/REAL_ADD_LID_'#@#variant
0. 'coq/Coq_ZArith_Zdiv_Zdiv_le_lower_bound'#@#variant 'hl/thm/Library/analysis/REAL_LE_RDIV_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_odd_2' 'hl/thm/nums/ZERO_DEF_'
0. 'coq/Coq_Reals_RIneq_Rplus_le_compat_r' 'hl/thm/Library/prime/DIVIDES_EXP_'
0. 'coq/Coq_ZArith_BinInt_Z_lxor_lnot_lnot' 'hl/thm/real/REAL_NEG_MUL2_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_le_pred' 'hl/thm/arith/LT_SUC_LE_'
0. 'coq/Coq_Reals_Rfunctions_Rle_pow' 'hl/thm/int/INT_POW_MONO_LT_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_pred_r' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RNEG_'
0. 'coq/Coq_ZArith_Zquot_Zrem_opp_l' 'hl/thm/Multivariate/transcendentals/RPOW_INV_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_odd_1' 'hl/thm/nums/ZERO_DEF_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lcm_diag' 'hl/thm/real/REAL_MIN_ACI_3'
0. 'coq/Coq_PArith_BinPos_Pos_square_spec' 'hl/thm/arith/BIT0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gt_lt_iff' 'hl/thm/arith/GT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_land_diag' 'hl/thm/int/INT_MIN_ACI_3'
0. 'coq/Coq_ZArith_BinInt_Z2Pos_id'#@#variant 'hl/thm/Library/floor/REAL_OF_INT_OF_REAL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_eq_add_0' 'hl/thm/arith/MULT_EQ_1_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_nlt_ge' 'hl/thm/realax/real_lt_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_odd_0' 'hl/thm/nums/ZERO_DEF_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_sub_lt_add_r' 'hl/thm/Library/analysis/SUB_LEFT_GREATER_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_refl' 'hl/thm/arith/LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_refl' 'hl/thm/realax/HREAL_LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_shuffle3' 'hl/thm/realax/HREAL_ADD_AC_2'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_0' 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_le_mono' 'hl/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_gcd_greatest' 'hl/thm/Complex/cpoly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_le_compat_r' 'hl/thm/Library/prime/DIVIDES_EXP_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_pos'#@#variant 'hl/thm/real/REAL_ABS_NZ_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_lt_mono_l' 'hl/thm/arith/LT_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_eq_le_incl' 'hl/thm/arith/EQ_IMP_LE_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_lt_iff' 'hl/thm/real/REAL_LT_MAX_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_le_compat_l' 'hl/thm/Library/integer/INT_DIVIDES_MUL_L_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_land_nonneg'#@#variant 'hl/thm/arith/EVEN_MULT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_odd_1'#@#variant 'hl/thm/nums/ZERO_DEF_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftr_opp_r' 'hl/thm/realax/real_sub_'
0. 'coq/Coq_PArith_BinPos_Pos_ge_le_iff' 'hl/thm/arith/GE_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_nonneg_cancel_l'#@#variant 'hl/thm/real/REAL_LE_MUL_EQ_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_le_mono' 'hl/thm/arith/FACT_MONO_'
0. 'coq/Coq_ZArith_BinInt_Z_divide_refl' 'hl/thm/Complex/cpoly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_pos'#@#variant 'hl/thm/real/REAL_LT_INV_EQ_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_inj_wd' 'hl/thm/Complex/complexnumbers/CNJ_INJ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_opp' 'hl/thm/Complex/complexnumbers/CNJ_NEG_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_le_incl' 'hl/thm/realax/TREAL_EQ_IMP_LE_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_id' 'hl/thm/real/REAL_MIN_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_mod_idemp_r' 'hl/thm/arith/MOD_MULT_RMOD_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_lt_add_diag_r' 'hl/thm/realax/HREAL_LE_ADD_'
0. 'coq/Coq_ZArith_BinInt_Z_sgn_nonpos' 'hl/thm/int/INT_SGN_INEQS_7'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_lt_mono_l' 'hl/thm/arith/LE_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_lt_iff' 'hl/thm/int/INT_LT_MAX_'
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_le_mono' 'hl/thm/Library/transc/ATN_MONO_LT_'
0. 'coq/Coq_PArith_BinPos_Pos_gcd_greatest' 'hl/thm/Library/prime/DIVIDES_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pred_succ' 'hl/thm/Multivariate/transcendentals/ATN_TAN_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_opp_0' 'hl/thm/realax/NADD_INV_0_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_min_le_compat_r' 'hl/thm/realax/HREAL_LE_MUL_RCANCEL_IMP_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_assoc' 'hl/thm/realax/TREAL_ADD_ASSOC_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_2' 'hl/thm/Multivariate/misc/SQRT_0_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftl_1_l'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_even_1'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_le_mono' 'hl/thm/Library/floor/FLOOR_MONO_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_div2'#@#variant 'hl/thm/Library/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_le_mono' 'hl/thm/arith/FACT_MONO_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_shuffle3' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_AC_2'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_odd_sub' 'hl/thm/int/INT_OF_NUM_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_le_mono_r_iff'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LE_EQ_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_le_compat_r' 'hl/thm/Library/integer/INT_DIVIDES_MUL_R_'
0. 'coq/Coq_ZArith_BinInt_Z_pow_lt_mono'#@#variant 'hl/thm/real/REAL_LT_MUL2_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_xI_succ_xO' 'hl/thm/nums/BIT1_DEF_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_null_iff' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_EQ_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_lt_mono_pos_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LT_EQ_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_gcd_greatest' 'hl/thm/Library/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_ge_cases' 'hl/thm/int/INT_LE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_pos'#@#variant 'hl/thm/Library/pratt/PHI_LOWERBOUND_2_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_max_le_compat_l' 'hl/thm/realax/NADD_LE_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_nlt_ge' 'hl/thm/int/INT_NOT_LT_'
0. 'coq/Coq_ZArith_BinInt_Z_le_max_l' 'hl/thm/int/INT_MAX_MAX_/0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_divide/0' 'hl/thm/Library/analysis/SUB_LESS_EQ_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_0_l' 'hl/thm/realax/REAL_MUL_LID_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_succ_r' 'hl/thm/int/INT_NEG_RMUL_'
0. 'coq/Coq_NArith_BinNat_N_le_pred_l' 'hl/thm/Library/floor/FLOOR_/1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_0_l' 'hl/thm/realax/REAL_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lcm_1_l'#@#variant 'hl/thm/int/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_pos'#@#variant 'hl/thm/Library/pratt/PHI_LOWERBOUND_2_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rgt_or_ge' 'hl/thm/arith/LTE_CASES_'
0. 'coq/Coq_NArith_Ndist_ni_le_min_2' 'hl/thm/int/INT_MIN_MIN_/1'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_log2' 'hl/thm/Complex/complexnumbers/CX_NEG_'
0. 'coq/Coq_Reals_Rbasic_fun_abs_IZR' 'hl/thm/Multivariate/complexes/CX_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_factor_l' 'hl/thm/arith/LE_ADD_'
0. 'coq/Coq_Numbers_Natural_BigN_Nbasic_plusnS' 'hl/thm/arith/ADD_SUC_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_asymm' 'hl/thm/real/REAL_LT_GT_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_incr' 'hl/thm/Multivariate/transcendentals/CX_COS_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_lt_m1_0' 'hl/thm/Library/transc/COS_2_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_le_refl' 'hl/thm/realax/NADD_EQ_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_divide_add_r' 'hl/thm/Library/integer/INT_DIVIDES_ADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_cancel_l' 'hl/thm/calc_int/REAL_EQ_ADD_LCANCEL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_lor' 'hl/thm/Complex/complex_transc/CEXP_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_add_le' 'hl/thm/real/REAL_ABS_TRIANGLE_'
0. 'coq/Coq_PArith_BinPos_Pos_min_glb' 'hl/thm/Library/integer/INT_DIVIDES_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_succ_l' 'hl/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_opp' 'hl/thm/Library/transc/COS_ABS_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_of_Qc' 'hl/thm/Complex/complexnumbers/complex_tybij_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_1_l' 'hl/thm/int/INT_ADD_LID_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_max_lub_iff' 'hl/thm/int/INT_MAX_LT_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_lt_mono_l' 'hl/thm/real/REAL_LE_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lcm_divide_iff' 'hl/thm/real/REAL_MAX_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_inj_wd' 'hl/thm/nums/IND_SUC_INJ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_le_lt_mono' 'hl/thm/arith/LET_ADD2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_le_mono' 'hl/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_succ' 'hl/thm/Complex/complexnumbers/CX_INV_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_eq_mul_0' 'hl/thm/arith/MULT_EQ_0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lxor_m1_l'#@#variant 'hl/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_diag' 'hl/thm/int/INT_MIN_ACI_3'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_le_mono_l' 'hl/thm/int/INT_LE_LADD_'
0. 'coq/Coq_Reals_Raxioms_R1_neq_R0' 'hl/thm/Library/analysis/REAL_10_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_refl' 'hl/thm/Library/integer/INT_DIVIDES_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_0_r' 'hl/thm/arith/MULT_0_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pred_sub'#@#variant 'hl/thm/arith/ADD1_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_sub_r' 'hl/thm/Library/integer/INT_DIVIDES_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_pos'#@#variant 'hl/thm/Library/transc/ATN_POS_LE_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftl_mul_pow2'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_le_incl' 'hl/thm/realarith/REAL_LT_IMP_LE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_even_2'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_ngt' 'hl/thm/realarith/REAL_NOT_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_null_iff' 'hl/thm/int/INT_ABS_ZERO_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_le_compat_r' 'hl/thm/Library/prime/DIVIDES_MUL_R_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div2_double' 'hl/thm/Library/transc/LN_EXP_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_sqrt' 'hl/thm/Complex/complexnumbers/CX_INV_'
0. 'coq/Coq_ZArith_BinInt_Z_log2_lor'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_MUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_divide_mono_l' 'hl/thm/realax/TREAL_LE_LADD_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_le_mono_l' 'hl/thm/Library/integer/INT_DIVIDES_MUL_R_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_refl' 'hl/thm/Library/poly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_refl' 'hl/thm/realax/REAL_LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lcm_0_r' 'hl/thm/realax/HREAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_QArith_QOrderedType_QOrder_lt_le_trans' 'hl/thm/realarith/REAL_LTE_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_succ_le' 'hl/thm/Library/floor/FLOOR_DOUBLE_/0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_succ_l' 'hl/thm/calc_int/REAL_MUL_LNEG_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_opp' 'hl/thm/calc_int/REAL_ABS_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_lt_mono_r' 'hl/thm/arith/LT_ADD_RCANCEL_'
0. 'coq/Coq_Arith_Gt_gt_n_S' 'hl/thm/Multivariate/vectors/SQRT_MONO_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_lt_iff' 'hl/thm/real/REAL_MIN_LE_'
0. 'coq/Coq_Reals_R_Ifp_base_fp/1' 'hl/thm/Multivariate/transcendentals/SIN_BOUNDS_/1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_le_mono' 'hl/thm/Library/transc/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_nonneg'#@#variant 'hl/thm/int/INT_SGN_INEQS_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_le_compat_l' 'hl/thm/Library/prime/DIVIDES_MUL_L_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_glb_iff' 'hl/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_nonneg_l'#@#variant 'hl/thm/int/INT_LE_LMUL_'#@#variant
0. 'coq/Coq_Reals_R_Ifp_base_fp/0' 'hl/thm/Multivariate/transcendentals/SIN_BOUNDS_/1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_le_mono' 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_glb' 'hl/thm/Library/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_0_l' 'hl/thm/int/INT_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_nonneg_cancel_l'#@#variant 'hl/thm/int/INT_LE_MUL_EQ_0'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sub_0_le' 'hl/thm/arith/SUB_EQ_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_min_l' 'hl/thm/Library/analysis/SUB_LESS_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_opp_r' 'hl/thm/realax/real_div_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_0_l' 'hl/thm/int/INT_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_div2_double'#@#variant 'hl/thm/Multivariate/transcendentals/CSIN_CASN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_glb_iff' 'hl/thm/int/INT_LE_MIN_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_sqrt_sqrt_up' 'hl/thm/Multivariate/transcendentals/REAL_EXP_LE_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_succ_l' 'hl/thm/arith/ADD_CLAUSES_2'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_pos'#@#variant 'hl/thm/real/REAL_SGN_INEQS_1'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_gcd_greatest' 'hl/thm/Library/prime/DIVIDES_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_add_lt_sub_r' 'hl/thm/real/REAL_LT_ADD_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_add_lt_sub_r' 'hl/thm/int/INT_LT_ADD_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_succ_r' 'hl/thm/arith/LE_1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_nle_gt' 'hl/thm/int/INT_LT_'
0. 'coq/Coq_Arith_Plus_plus_le_compat_l' 'hl/thm/Library/integer/INT_DIVIDES_MUL_L_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_wf_0' 'hl/thm/Library/analysis/DORDER_NGE_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mod_same' 'hl/thm/arith/MOD_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_xO_r' 'hl/thm/arith/ADD_SUC_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_le_mono_l' 'hl/thm/real/REAL_LE_LADD_'
0. 'coq/Coq_PArith_BinPos_Pos_gcd_greatest' 'hl/thm/Complex/cpoly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_eq_mul_0' 'hl/thm/int/INT_ENTIRE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftr_succ_r' 'hl/thm/Multivariate/transcendentals/RPOW_NEG_'
0. 'coq/Coq_NArith_BinNat_N_divide_refl' 'hl/thm/Library/poly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_double_succ' 'hl/thm/nums/BIT0_DEF_1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_1' 'hl/thm/arith/PRE_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_refl' 'hl/thm/arith/LE_REFL_'
0. 'coq/Coq_Arith_Max_max_0_l' 'hl/thm/realax/REAL_MUL_LID_'#@#variant
0. 'coq/Coq_Reals_Exp_prop_exp_pos_pos'#@#variant 'hl/thm/Multivariate/transcendentals/REAL_SIN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_factor_l' 'hl/thm/realax/NADD_LE_ADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_succ_le' 'hl/thm/Library/floor/FLOOR_DOUBLE_/0'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_sub' 'hl/thm/real/REAL_OF_NUM_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftl_opp_r' 'hl/thm/int/INT_SUB_'
0. 'coq/Coq_QArith_Qreals_Q2R_opp' 'hl/thm/Multivariate/complexes/CX_INV_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div2_neg' 'hl/thm/int/INT_SGN_INEQS_5'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_sub_le_add_r' 'hl/thm/int/INT_LT_SUB_RADD_'
0. 'coq/Coq_NArith_BinNat_N_mul_lt_mono_pos_r'#@#variant 'hl/thm/real/REAL_LE_DIV2_EQ_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_square_spec' 'hl/thm/real/REAL_MUL_2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_le_lt_mono' 'hl/thm/arith/LET_ADD2_'
0. 'coq/Coq_Arith_Plus_plus_le_compat_r' 'hl/thm/realax/NADD_LE_RMUL_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_iff' 'hl/thm/int/INT_OF_NUM_EQ_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_glb' 'hl/thm/Library/prime/DIVIDES_ADD_'
0. 'coq/Coq_ZArith_BinInt_Z_min_glb_lt' 'hl/thm/Library/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_le_mono_r' 'hl/thm/arith/LT_ADD_RCANCEL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_le_mono' 'hl/thm/Library/transc/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_lxor_r' 'hl/thm/real/REAL_NEG_RMUL_'
0. 'coq/Coq_PArith_BinPos_Pos_le_refl' 'hl/thm/Multivariate/misc/GE_REFL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_lt_mono_r'#@#variant 'hl/thm/int/INT_LE_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_lub_lt_iff' 'hl/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_ZArith_BinInt_Z_quot_mul' 'hl/thm/Complex/complexnumbers/COMPLEX_DIV_RMUL_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_max_le_compat_l' 'hl/thm/realax/TREAL_LE_LADD_IMP_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_pos' 'hl/thm/calc_num/ARITH_80'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_divide_cancel_r' 'hl/thm/Library/integer/INT_DIVIDES_RMUL2_EQ_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_add_le' 'hl/thm/real/REAL_ABS_TRIANGLE_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_succ_not_1' 'hl/thm/nums/NOT_SUC_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_lt_add_r' 'hl/thm/Library/prime/DIVIDES_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_pow' 'hl/thm/arith/ADD_CLAUSES_2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_shuffle3' 'hl/thm/int/INT_MAX_ACI_2'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_null_iff' 'hl/thm/real/REAL_INV_EQ_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lcm_1_l'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_lt_add_r' 'hl/thm/Library/integer/INT_DIVIDES_RMUL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_pred_r' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RNEG_'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_pos'#@#variant 'hl/thm/Library/pocklington/PHI_LOWERBOUND_2_'#@#variant
0. 'coq/Coq_QArith_Qreals_Q2R_opp' 'hl/thm/int/int_sgn_th_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div_same'#@#variant 'hl/thm/real/REAL_DIV_REFL_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_lt_1_succ' 'hl/thm/Multivariate/transcendentals/ATN_BOUNDS_/0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_lt_mono_r' 'hl/thm/realax/HREAL_LE_ADD_RCANCEL_'
0. 'coq/Coq_NArith_BinNat_N_lt_total' 'hl/thm/Library/analysis/LESS_LESS_CASES_'
0. 'coq/Coq_NArith_BinNat_N_div2_succ_double' 'hl/thm/Library/transc/ATN_TAN_'
0. 'coq/Coq_Reals_Rfunctions_pow_O' 'hl/thm/int/INT_POW_0'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LE_'
0. 'coq/Coq_ZArith_Znat_Zabs2Nat_inj_succ'#@#variant 'hl/thm/Multivariate/complexes/CX_SQRT_'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_is_nonneg'#@#variant 'hl/thm/real/REAL_LT_POW2_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_opp_max_distr' 'hl/thm/Complex/complex_transc/CEXP_SUB_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_incr' 'hl/thm/Multivariate/transcendentals/CX_TAN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lcm_1_l'#@#variant 'hl/thm/int/INT_ADD_LID_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lxor_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_opp_r' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_greatest' 'hl/thm/Library/integer/INT_DIVIDES_ADD_'
0. 'coq/Coq_ZArith_BinInt_Z_sgn_opp' 'hl/thm/Library/transc/TAN_NEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_pos_r'#@#variant 'hl/thm/int/INT_LT_RMUL_EQ_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_shuffle3' 'hl/thm/Multivariate/complexes/COMPLEX_MUL_AC_2'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lcm_1_l'#@#variant 'hl/thm/int/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_l' 'hl/thm/real/REAL_LT_LADD_IMP_'
0. 'coq/Coq_ZArith_Zeven_Zeven_Sn' 'hl/thm/Library/pratt/PHI_LOWERBOUND_2_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_mul_cancel_r' 'hl/thm/arith/EQ_ADD_RCANCEL_'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_pred' 'hl/thm/Multivariate/transcendentals/CX_EXP_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_assoc' 'hl/thm/realax/NADD_MUL_ASSOC_'
0. 'coq/Coq_NArith_BinNat_N_lxor_0_l' 'hl/thm/arith/ADD_CLAUSES_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_1' 'hl/thm/nums/BIT0_DEF_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_land_0_r' 'hl/thm/calc_int/REAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_fourier_Fourier_util_Rfourier_lt'#@#variant 'hl/thm/int/INT_LE_LMUL_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_mul_lt_mono_r' 'hl/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_Bool_Bool_eqb_reflx' 'hl/thm/real/REAL_SUB_REFL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_pred' 'hl/thm/Multivariate/transcendentals/ATN_TAN_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mod_divide' 'hl/thm/Library/prime/DIVIDES_MOD_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rplus_gt_compat_r' 'hl/thm/Library/prime/DIVIDES_MUL_R_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_pos'#@#variant 'hl/thm/Library/floor/RATIONAL_INV_EQ_'
0. 'coq/Coq_Reals_SeqProp_CV_plus' 'hl/thm/Library/analysis/SER_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ldiff_m1_r'#@#variant 'hl/thm/arith/MOD_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pred_succ' 'hl/thm/Multivariate/transcendentals/LOG_EXP_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ldiff_land' 'hl/thm/Multivariate/complexes/complex_div_'#@#variant
0. 'coq/Coq_Reals_Rtrigo_def_cos_sym' 'hl/thm/Multivariate/transcendentals/COS_ABS_'
0. 'coq/Coq_NArith_BinNat_N_succ_0_discr' 'hl/thm/nums/NOT_SUC_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_max_le_compat_r' 'hl/thm/Library/integer/INT_DIVIDES_MUL_R_'
0. 'coq/Coq_Reals_Rtrigo1_sin_pos_tech'#@#variant 'hl/thm/Library/transc/SIN_POS_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_1' 'hl/thm/Library/pratt/PHI_0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_succ_diag_r' 'hl/thm/int/INT_ABS_LE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_lcm_r' 'hl/thm/real/REAL_MAX_MAX_/1'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_add_diag_r' 'hl/thm/arith/LE_ADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_max_le_compat_r' 'hl/thm/Library/integer/INT_DIVIDES_MUL_R_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_0_l' 'hl/thm/realax/HREAL_ADD_LID_'#@#variant
0. 'coq/Coq_Numbers_BigNumPrelude_Zlt0_not_eq'#@#variant 'hl/thm/Library/integer/INT_PRIME_IMP_NZ_'#@#variant
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_div2' 'hl/thm/Multivariate/transcendentals/CX_COS_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_lt_trans' 'hl/thm/int/INT_LET_TRANS_'
0. 'coq/Coq_ZArith_BinInt_Z_le_add_le_sub_r' 'hl/thm/real/REAL_LT_ADD_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_0_iff' 'hl/thm/real/REAL_ABS_ZERO_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_add_cancel_r' 'hl/thm/Library/integer/INT_DIVIDES_ADD_REVR_'
0. 'coq/Coq_Init_Peano_le_n_S' 'hl/thm/arith/FACT_MONO_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_0_sub'#@#variant 'hl/thm/realarith/REAL_SUB_LT_'#@#variant
0. 'coq/Coq_Reals_RIneq_Ropp_mult_distr_r' 'hl/thm/calc_int/REAL_MUL_RNEG_'
0. 'coq/Coq_ZArith_BinInt_Z_min_le_compat_r' 'hl/thm/realax/NADD_LE_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lcm_0_r' 'hl/thm/int/INT_MUL_RZERO_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_nlt_ge' 'hl/thm/int/INT_NOT_LT_'
0. 'coq/Coq_ZArith_BinInt_Z_log2_le_lin'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_nonneg' 'hl/thm/Multivariate/transcendentals/ATN_BOUNDS_/0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_lt_mono_r_iff'#@#variant 'hl/thm/real/REAL_LE_LMUL_EQ_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_lt_lin' 'hl/thm/Multivariate/transcendentals/LOG_LT_X_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_pred_r' 'hl/thm/arith/SUB_1'
0. 'coq/Coq_ZArith_BinInt_Z_abs_pow' 'hl/thm/int/INT_NEG_LMUL_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_0' 'hl/thm/Multivariate/complexes/IM_II_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_clearbit_spec_prime'#@#variant 'hl/thm/Multivariate/complexes/complex_div_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_pos'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_POS_LT_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_odd_spec' 'hl/thm/Multivariate/complexes/real_'#@#variant
0. 'coq/Coq_Reals_R_sqrt_sqrt_lt_R0'#@#variant 'hl/thm/Library/floor/INTEGER_CLOSED_6'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_add_r' 'hl/thm/Library/integer/INT_DIVIDES_SUB_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_lt_mono_r_iff'#@#variant 'hl/thm/Library/analysis/REAL_LE_LMUL_LOCAL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_1_l'#@#variant 'hl/thm/int/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_xI_succ_xO' 'hl/thm/calc_num/ARITH_4'
0. 'coq/Coq_ZArith_BinInt_Z_log2_null'#@#variant 'hl/thm/real/REAL_SGN_EQ_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lcm_0_r' 'hl/thm/calc_int/REAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftl_opp_r' 'hl/thm/Complex/complexnumbers/complex_sub_'
0. 'coq/Coq_QArith_Qcanon_test_field'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_DIV_RMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_lub_r' 'hl/thm/Library/prime/DIVIDES_LMUL2_'
0. 'coq/Coq_Reals_Rtopology_open_set_P3' 'hl/thm/Multivariate/realanalysis/REAL_CLOSED_UNION_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_succ_inj_wd' 'hl/thm/int/INT_EQ_NEG2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_ge_le_iff' 'hl/thm/int/INT_GT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_refl' 'hl/thm/arith/LE_REFL_'
0. 'coq/Coq_Reals_Rtopology_open_set_P2' 'hl/thm/Multivariate/realanalysis/REAL_CLOSED_UNION_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_refl' 'hl/thm/realax/HREAL_LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_lt_lin' 'hl/thm/Multivariate/transcendentals/ATN_LE_X_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_mod' 'hl/thm/arith/MOD_ADD_MOD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_refl' 'hl/thm/realax/REAL_LE_REFL_'
0. 'coq/Coq_ZArith_Znat_Z2N_inj_quot2' 'hl/thm/Multivariate/complexes/CX_INV_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_pos'#@#variant 'hl/thm/Library/floor/FLOOR_POS_LE_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_1_l'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_LZERO_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_ngt' 'hl/thm/realax/real_lt_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_le_mono_r' 'hl/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_ZArith_Znat_Z2Nat_inj_pred' 'hl/thm/Multivariate/transcendentals/CX_ATN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_le_compat_l' 'hl/thm/realax/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mod_divide' 'hl/thm/Library/prime/DIVIDES_MOD_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_lt_add_r' 'hl/thm/Library/prime/DIVIDES_RMUL_'
0. 'coq/Coq_Reals_RIneq_Rgt_ge_trans' 'hl/thm/realarith/REAL_LTE_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_1_l'#@#variant 'hl/thm/realarith/REAL_POLY_NEG_CLAUSES_0'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pred_div2_up' 'hl/thm/Complex/complexnumbers/CX_NEG_'
0. 'coq/Coq_NArith_BinNat_N_pred_div2_up' 'hl/thm/Complex/complex_transc/CX_CEXP_'
0. 'coq/Coq_NArith_BinNat_N_pred_div2_up' 'hl/thm/Multivariate/transcendentals/CX_TAN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_2' 'hl/thm/Multivariate/transcendentals/SIN_0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_succ_r' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_RMUL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_pos'#@#variant 'hl/thm/Multivariate/vectors/SQRT_LT_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_0_r'#@#variant 'hl/thm/Library/prime/INDEX_1_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_shuffle3' 'hl/thm/arith/ADD_AC_2'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_factor_l' 'hl/thm/real/REAL_MAX_MAX_/0'
0. 'coq/Coq_PArith_BinPos_Pplus_one_succ_l' 'hl/thm/realarith/REAL_POLY_NEG_CLAUSES_0'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_div2' 'hl/thm/int/int_neg_th_'
0. 'coq/Coq_ZArith_BinInt_Z_even_0' 'hl/thm/nums/ZERO_DEF_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lor_m1_r'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_even_0' 'hl/thm/Multivariate/complexes/IM_II_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_le_mono' 'hl/thm/Library/floor/FLOOR_MONO_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_is_pos'#@#variant 'hl/thm/real/REAL_LT_POW2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_lt_mono_r_iff'#@#variant 'hl/thm/Library/analysis/REAL_LE_LMUL_LOCAL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_pred' 'hl/thm/calc_num/ARITH_5'
0. 'coq/Coq_NArith_BinNat_N_min_le_iff' 'hl/thm/int/INT_MIN_LT_'
0. 'coq/Coq_ZArith_BinInt_Z_rem_divide' 'hl/thm/Library/prime/DIVIDES_MOD_'#@#variant
0. 'coq/Coq_Reals_Raxioms_Rmult_lt_compat_l'#@#variant 'hl/thm/Library/analysis/REAL_LT_LMUL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pred_succ' 'hl/thm/Multivariate/transcendentals/LOG_EXP_'
0. 'coq/Coq_Reals_Rfunctions_pow_1'#@#variant 'hl/thm/Multivariate/complexes/COMPLEX_POW_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_lt_lin'#@#variant 'hl/thm/Library/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_divide_cancel_l' 'hl/thm/Library/integer/INT_DIVIDES_LMUL2_EQ_'#@#variant
0. 'coq/Coq_Arith_Even_odd_plus_r' 'hl/thm/int/INT_LET_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_1' 'hl/thm/arith/PRE_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_succ_l' 'hl/thm/arith/MULT_1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_opp_diag_r' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_RINV_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_1_l' 'hl/thm/int/INT_MUL_LID_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_pos_r'#@#variant 'hl/thm/int/INT_LT_RMUL_EQ_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_refl' 'hl/thm/Library/poly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_opp' 'hl/thm/Multivariate/transcendentals/COS_NEG_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_lt_mono_r'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LE_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_opp_diag_l' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LINV_'#@#variant
0. 'coq/Coq_QArith_Qminmax_Q_max_lub_iff' 'hl/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_le_mono_r_iff'#@#variant 'hl/thm/real/REAL_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_le_lt_mono' 'hl/thm/real/REAL_LET_ADD2_'
0. 'coq/Coq_PArith_BinPos_Pos_add_1_l' 'hl/thm/int/INT_NEG_MINUS1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_succ_diag_r' 'hl/thm/int/INT_ABS_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_ldiff' 'hl/thm/int/INT_SUB_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div2_succ_double' 'hl/thm/Multivariate/transcendentals/LOG_EXP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_refl' 'hl/thm/int/INT_LE_REFL_'
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_Rabsolu' 'hl/thm/int/INT_ABS_ABS_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_lt_mono'#@#variant 'hl/thm/Library/analysis/REAL_LE_MUL2V_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_add_le' 'hl/thm/real/REAL_ABS_TRIANGLE_'
0. 'coq/Coq_ZArith_BinInt_Z_le_max_l' 'hl/thm/realax/NADD_LE_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_nlt_ge' 'hl/thm/int/INT_NOT_LT_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_2' 'hl/thm/Library/transc/TAN_0_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_1_r'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RZERO_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lor_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lt_add_lt_sub_r' 'hl/thm/real/REAL_LE_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_le_compat_l' 'hl/thm/int/INT_LE_LADD_IMP_'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_double'#@#variant 'hl/thm/Complex/complex_transc/CX_CCOS_'
0. 'coq/Coq_QArith_Qminmax_Q_min_le_iff' 'hl/thm/real/REAL_MIN_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_lt_iff' 'hl/thm/real/REAL_LT_MAX_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_1_l'#@#variant 'hl/thm/arith/LE_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_refl' 'hl/thm/Multivariate/misc/GE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_le_mono' 'hl/thm/Multivariate/transcendentals/ATN_MONO_LT_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_lt_mono_l' 'hl/thm/arith/LE_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_0_iff' 'hl/thm/int/INT_ABS_ZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_opp_r' 'hl/thm/Complex/complexnumbers/complex_sub_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_le_mono' 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_le_mono' 'hl/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_eq_0_gt_0_cases'#@#variant 'hl/thm/arith/LE_1_0'#@#variant
0. 'coq/Coq_Reals_RIneq_Ropp_0_le_ge_contravar'#@#variant 'hl/thm/Library/pocklington/PHI_LOWERBOUND_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_opp' 'hl/thm/Multivariate/transcendentals/COS_ABS_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mod_le' 'hl/thm/arith/DIV_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_pos'#@#variant 'hl/thm/Library/pratt/PHI_LOWERBOUND_1_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_le_mono_l' 'hl/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qplus_inj_r' 'hl/thm/arith/LT_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_refl' 'hl/thm/Library/integer/INT_DIVIDES_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_sgn_null_iff' 'hl/thm/real/REAL_SGN_INEQS_9'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_mul_le_mono_l' 'hl/thm/int/INT_LT_LADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_divide_mul_r' 'hl/thm/Library/prime/DIVIDES_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_setbit_spec_prime'#@#variant 'hl/thm/Multivariate/complexes/complex_div_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_succ_diag_r' 'hl/thm/arith/LT_POW2_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_factor_r' 'hl/thm/int/INT_MAX_MAX_/1'
0. 'coq/Coq_QArith_QArith_base_Qlt_not_le' 'hl/thm/real/REAL_LET_ANTISYM_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_add_r' 'hl/thm/Library/prime/DIVIDES_SUB_'
0. 'coq/Coq_ZArith_BinInt_Z_abs_0_iff' 'hl/thm/Multivariate/vectors/SQRT_EQ_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_lt_mono_pos_r'#@#variant 'hl/thm/real/REAL_LE_RMUL_EQ_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_sub' 'hl/thm/arith/ADD_SUB_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_lt_mono_l' 'hl/thm/int/INT_LT_LADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_opp' 'hl/thm/real/REAL_SGN_INV_'
0. 'coq/Coq_ZArith_Zorder_Zsucc_le_compat' 'hl/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_refl' 'hl/thm/Library/poly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_succ_r' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_max_r' 'hl/thm/real/REAL_MAX_MAX_/1'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_refl' 'hl/thm/realax/REAL_LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_lt_mono_r_iff'#@#variant 'hl/thm/real/REAL_LE_LMUL_EQ_'#@#variant
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_succ' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_INV_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_lt_mono_pos_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LT_EQ_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_le_lteq' 'hl/thm/realarith/REAL_LE_LT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_opp_r' 'hl/thm/realax/real_div_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lnot_0_l' 'hl/thm/int/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftl_1_l'#@#variant 'hl/thm/int/INT_NEG_MINUS1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_diag' 'hl/thm/real/REAL_MIN_ACI_3'
0. 'coq/Coq_Reals_Raxioms_Rplus_opp_r' 'hl/thm/calc_int/REAL_ADD_RINV_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_nlt' 'hl/thm/realarith/REAL_NOT_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_glb_iff' 'hl/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_NArith_BinNat_N_add_le_lt_mono' 'hl/thm/real/REAL_LET_ADD2_'
0. 'coq/Coq_QArith_Qcanon_Qcopp_involutive' 'hl/thm/Complex/complexnumbers/CNJ_CNJ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_le_compat_l' 'hl/thm/realax/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_le_mono_l' 'hl/thm/Library/integer/INT_DIVIDES_MUL_R_'
0. 'coq/Coq_Reals_RIneq_Rlt_not_eq' 'hl/thm/int/INT_LT_IMP_NE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_1_r'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RZERO_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_rem_idemp_l' 'hl/thm/arith/MOD_MULT_LMOD_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_lt_lin' 'hl/thm/Multivariate/transcendentals/LOG_LT_X_'
0. 'coq/Coq_Init_Datatypes_CompOpp_involutive' 'hl/thm/calc_int/REAL_NEG_NEG_'
0. 'coq/Coq_ZArith_BinInt_Z_abs_pow' 'hl/thm/calc_int/REAL_MUL_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lnot_0_l' 'hl/thm/int/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftl_1_l'#@#variant 'hl/thm/int/INT_NEG_MINUS1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lxor_0_l' 'hl/thm/realax/REAL_ADD_LID_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_pos'#@#variant 'hl/thm/Multivariate/vectors/SQRT_LT_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant
0. 'coq/Coq_Sets_Powerset_Intersection_maximal' 'hl/thm/Multivariate/vectors/ORTHOGONAL_CLAUSES_3'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_le_trans' 'hl/thm/arith/LTE_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div2_neg' 'hl/thm/int/INT_SGN_INEQS_5'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_pos'#@#variant 'hl/thm/Library/pocklington/PHI_LOWERBOUND_1_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_div2_double'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_EXP_'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_1_l' 'hl/thm/arith/MULT_0'
0. 'coq/Coq_PArith_BinPos_Pos_le_min_l' 'hl/thm/int/INT_MIN_MIN_/0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_le_compat_l' 'hl/thm/realax/NADD_MUL_WELLDEF_LEMMA_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_ge_cases' 'hl/thm/arith/LE_CASES_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_0_r' 'hl/thm/Library/pocklington/ORDER_1_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_gcd_1_r'#@#variant 'hl/thm/calc_int/REAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qinv_le_0_compat'#@#variant 'hl/thm/nums/NUM_REP_RULES_1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_pos_cancel_r'#@#variant 'hl/thm/int/INT_LT_MUL_EQ_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div_le_mono' 'hl/thm/arith/DIV_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_le_mono' 'hl/thm/Library/transc/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_le_compat_l' 'hl/thm/realax/TREAL_LE_LADD_IMP_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lt_le_incl' 'hl/thm/realax/TREAL_EQ_IMP_LE_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_odd_1'#@#variant 'hl/thm/Multivariate/complexes/IM_II_'#@#variant
0. 'coq/Coq_ZArith_Zsqrt_compat_Zsqrt_equiv' 'hl/thm/Library/analysis/REAL_INV_1OVER_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_le_mono_r' 'hl/thm/int/INT_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_le_mono_r'#@#variant 'hl/thm/int/INT_LE_LMUL_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_cos_neg' 'hl/thm/int/INT_ABS_NEG_'
0. 'coq/Coq_NArith_BinNat_N_min_id' 'hl/thm/int/INT_MAX_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_pos_cancel_l'#@#variant 'hl/thm/Library/floor/INTEGER_SUB_EQ_0'
0. 'coq/Coq_Reals_Rbasic_fun_Ropp_Rmin' 'hl/thm/Complex/complex_transc/CEXP_SUB_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_1_mul_pos'#@#variant 'hl/thm/int/INT_LTE_ADD_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_inj_wd' 'hl/thm/Multivariate/transcendentals/ATN_INJ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ldiff_m1_r'#@#variant 'hl/thm/arith/EXP_0'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_glb_lt' 'hl/thm/Library/integer/INT_DIVIDES_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_le_compat_l' 'hl/thm/realax/NADD_LE_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div2_neg' 'hl/thm/int/INT_SGN_INEQS_8'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_le_mono_l' 'hl/thm/real/REAL_LE_LADD_'
0. 'coq/Coq_Arith_Gt_gt_n_S' 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Arith_Lt_lt_n_S' 'hl/thm/Multivariate/vectors/SQRT_MONO_LE_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_le_lin'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_gcd_greatest' 'hl/thm/Library/prime/DIVIDES_SUB_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_shuffle3' 'hl/thm/int/INT_MAX_ACI_2'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_lt_mono_l' 'hl/thm/int/INT_LT_LADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_le_pred' 'hl/thm/Library/analysis/LESS_EQ_IMP_LESS_SUC_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_le_lin'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pred_succ' 'hl/thm/Library/transc/ATN_/2'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_0_r' 'hl/thm/Library/prime/INDEX_0_'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qcle_refl' 'hl/thm/realax/NADD_LE_REFL_'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_lt_total' 'hl/thm/Library/analysis/LESS_CASES_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_le_lin'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_refl' 'hl/thm/realax/NADD_LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_lt_iff' 'hl/thm/int/INT_LE_MAX_'
0. 'coq/Coq_Reals_Rminmax_R_max_lt_iff' 'hl/thm/int/INT_LE_MAX_'
0. 'coq/Coq_Reals_Rbasic_fun_Rle_max_compat_r' 'hl/thm/Library/prime/DIVIDES_MUL_R_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_le_compat_r' 'hl/thm/realax/HREAL_LE_MUL_RCANCEL_IMP_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_refl' 'hl/thm/realax/NADD_LE_REFL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_add_r' 'hl/thm/realax/NADD_LE_ADD_'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_div2' 'hl/thm/Complex/complex_transc/CX_CEXP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_divide/1' 'hl/thm/real/REAL_MIN_MIN_/1'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sub_le_mono_r' 'hl/thm/Library/prime/DIVIDES_MUL_R_'
0. 'coq/Coq_Arith_PeanoNat_Nat_max_id' 'hl/thm/int/INT_MAX_ACI_3'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_pos'#@#variant 'hl/thm/Library/floor/INTEGER_NEG_'
0. 'coq/Coq_QArith_Qminmax_Q_min_comm' 'hl/thm/realax/NADD_MUL_SYM_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_lt_mono_pos_r'#@#variant 'hl/thm/real/REAL_LE_DIV2_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_greatest' 'hl/thm/Library/integer/INT_DIVIDES_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_even_0' 'hl/thm/Multivariate/complexes/RE_II_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_divide_mono_l' 'hl/thm/Library/integer/INT_DIVIDES_MUL_L_'
0. 'coq/Coq_ZArith_BinInt_Z_even_1'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_1_l'#@#variant 'hl/thm/int/INT_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lcm_divide_iff' 'hl/thm/real/REAL_MAX_LT_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_pred_succ' 'hl/thm/Multivariate/transcendentals/CSIN_CASN_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_succ' 'hl/thm/Complex/complex_transc/CX_CSIN_'
0. 'coq/Coq_Init_Peano_plus_O_n' 'hl/thm/arith/ADD_CLAUSES_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ldiff_ldiff_l' 'hl/thm/arith/EXP_MULT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_clearbit_spec_prime'#@#variant 'hl/thm/Complex/complexnumbers/complex_sub_'
0. 'coq/Coq_ZArith_BinInt_Z_add_opp_diag_r' 'hl/thm/int/INT_ADD_RINV_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_eq_0' 'hl/thm/int/INT_ENTIRE_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_cancel_r' 'hl/thm/realax/HREAL_EQ_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_add_distr' 'hl/thm/Library/prime/EXP_EXP_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_succ' 'hl/thm/Library/transc/LN_EXP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_asymm' 'hl/thm/int/INT_LT_GT_'
0. 'coq/Coq_Reals_Rtrigo1_sin_lb_gt_0'#@#variant 'hl/thm/Library/transc/SIN_POS_PI_LE_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_quot2' 'hl/thm/Multivariate/complexes/CX_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_neg'#@#variant 'hl/thm/int/INT_NEG_LT0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_divide_mono_r' 'hl/thm/Library/integer/INT_DIVIDES_MUL_R_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_le_0_2' 'hl/thm/Multivariate/transcendentals/PI2_BOUNDS_1'#@#variant
0. 'coq/Coq_Sets_Uniset_leb_refl' 'hl/thm/Library/poly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_involutive' 'hl/thm/real/REAL_SGN_REAL_SGN_'
0. 'coq/Coq_NArith_BinNat_N_le_succ_l' 'hl/thm/arith/LE_SUC_LT_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_le_0_1' 'hl/thm/Multivariate/transcendentals/PI2_BOUNDS_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_gt_cases' 'hl/thm/int/INT_NOT_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_factor_l' 'hl/thm/int/INT_MAX_MAX_/0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sub_diag' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_REFL_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qplus_assoc' 'hl/thm/realax/NADD_MUL_ASSOC_'
0. 'coq/Coq_QArith_QArith_base_Qmult_le_compat_r'#@#variant 'hl/thm/int/INT_LE_RMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_le_mono_r'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_rem_opp_l_prime' 'hl/thm/int/INT_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_1_l'#@#variant 'hl/thm/realax/NADD_LE_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_pred_l' 'hl/thm/Multivariate/transcendentals/RPOW_INV_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_shuffle3' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_AC_2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_clearbit_spec_prime'#@#variant 'hl/thm/Multivariate/complexes/complex_div_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lor_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_le_mono' 'hl/thm/Library/floor/FLOOR_MONO_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_add_lt_sub_r' 'hl/thm/int/INT_LE_SUB_RADD_'
0. 'coq/Coq_FSets_FSetPositive_PositiveSet_E_bits_lt_antirefl' 'hl/thm/realarith/REAL_LT_REFL_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_opp' 'hl/thm/int/int_abs_th_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_eq_cases' 'hl/thm/arith/LE_LT_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_xO_r' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RNEG_'
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_divide_iff' 'hl/thm/int/INT_LE_MIN_'
0. 'coq/Coq_Reals_Raxioms_Rlt_asym' 'hl/thm/real/REAL_LT_GT_'
0. 'coq/Coq_Reals_RIneq_Ropp_minus_distr' 'hl/thm/int/INT_NEG_SUB_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_lt_mono_r' 'hl/thm/int/INT_LT_RADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mod_same' 'hl/thm/arith/MOD_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_pred_l' 'hl/thm/Multivariate/transcendentals/REAL_ABS_RPOW_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_ge_cases' 'hl/thm/arith/LTE_CASES_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_odd_1'#@#variant 'hl/thm/Multivariate/complexes/RE_II_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_lt_lin'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_LT_X_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_setbit_spec_prime'#@#variant 'hl/thm/int/INT_SUB_RNEG_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pred_div2_up' 'hl/thm/Complex/complex_transc/CX_CCOS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_le_lin'#@#variant 'hl/thm/Library/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_pos'#@#variant 'hl/thm/calc_num/ARITH_44'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_antisymm' 'hl/thm/Library/analysis/LESS_EQUAL_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_0_mul_prime'#@#variant 'hl/thm/arith/ODD_MULT_'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_T_OMEGA16_stable' 'hl/thm/Library/multiplicative/MULTIPLICATIVE_TAU_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_pos_r'#@#variant 'hl/thm/real/REAL_LT_DIV2_EQ_'#@#variant
0. 'coq/Coq_Reals_Exp_prop_exp_pos_pos'#@#variant 'hl/thm/Multivariate/transcendentals/REAL_TAN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_ngt' 'hl/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_wf_0' 'hl/thm/wf/WF_num_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_nle_gt' 'hl/thm/Library/analysis/real_le_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_neq_succ_0' 'hl/thm/nums/IND_SUC_0_'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_lt_le' 'hl/thm/real/REAL_LT_ANTISYM_'
0. 'coq/Coq_Arith_PeanoNat_Nat_max_le_compat_r' 'hl/thm/realax/NADD_LE_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_nlt_ge' 'hl/thm/int/INT_NOT_LT_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_le_compat_r' 'hl/thm/Library/prime/DIVIDES_MUL_R_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_pos'#@#variant 'hl/thm/Library/transc/LN_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pred_div2_up' 'hl/thm/int/int_sgn_th_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_succ_diag_r' 'hl/thm/Library/analysis/LESS_SUC_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_0_r' 'hl/thm/Library/integer/INT_DIVIDES_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_rem_opp_l_prime' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_le_mono_nonneg'#@#variant 'hl/thm/real/REAL_LE_MUL2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sub_succ' 'hl/thm/real/REAL_NEG_MUL2_'
0. 'coq/Coq_Reals_R_sqr_Rsqr_eq_0' 'hl/thm/Library/analysis/REAL_INV_NZ_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_odd_0' 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_le_refl' 'hl/thm/Multivariate/misc/GE_REFL_'
0. 'coq/Coq_ZArith_Znat_Z2N_inj_div2' 'hl/thm/Complex/complex_transc/CX_CEXP_'
0. 'coq/Coq_Reals_RIneq_S_INR' 'hl/thm/real/REAL_OF_NUM_SUC_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_le_min_l' 'hl/thm/int/INT_MIN_MIN_/0'
0. 'coq/Coq_FSets_FSetPositive_PositiveSet_eq_refl' 'hl/thm/realax/TREAL_EQ_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lcm_divide_iff' 'hl/thm/real/REAL_MAX_LT_'
0. 'coq/Coq_Reals_RIneq_Rle_le_eq' 'hl/thm/arith/LE_ANTISYM_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_shuffle3' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_AC_2'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftr_succ_r' 'hl/thm/arith/SUB_1'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_of_Qc_bis' 'hl/thm/real/REAL_LE_POW2_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_le_mono' 'hl/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_NArith_Nnat_Nat2N_id' 'hl/thm/int/int_abstr_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_xO'#@#variant 'hl/thm/Complex/complex_transc/CX_CEXP_'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_lor' 'hl/thm/Complex/complex_transc/CEXP_SUB_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_succ_r' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lcm_1_l' 'hl/thm/realax/HREAL_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_pos'#@#variant 'hl/thm/int/INT_SGN_INEQS_1'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sub_le_mono_r' 'hl/thm/int/INT_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_even_0' 'hl/thm/Multivariate/complexes/IM_II_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_nonneg'#@#variant 'hl/thm/Library/analysis/REAL_LT_MUL2_ALT_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_shuffle3' 'hl/thm/int/INT_MAX_ACI_2'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_setbit_spec_prime'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_succ_diag_r' 'hl/thm/real/REAL_ABS_LE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_max_l' 'hl/thm/real/REAL_MAX_MAX_/0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_setbit_spec_prime'#@#variant 'hl/thm/realax/real_sub_'
0. 'coq/Coq_Reals_RIneq_opp_IZR' 'hl/thm/Multivariate/complexes/CX_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_cancel_l' 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_ADD_LCANCEL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_le_iff' 'hl/thm/real/REAL_LT_MAX_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_lt_mono_r' 'hl/thm/int/INT_LT_RADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_succ' 'hl/thm/Multivariate/transcendentals/CSIN_CASN_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_r' 'hl/thm/realax/NADD_LE_RMUL_'
0. 'coq/Coq_NArith_BinNat_N_div_small' 'hl/thm/arith/DIV_LT_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pow_lt_mono_r_iff'#@#variant 'hl/thm/Library/analysis/REAL_LE_LMUL_LOCAL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_lteq' 'hl/thm/realarith/REAL_LE_LT_'
0. 'coq/Coq_ZArith_Zorder_Zplus_gt_compat_l' 'hl/thm/int/INT_LE_LADD_IMP_'
0. 'coq/Coq_Reals_Ratan_ps_atan_opp' 'hl/thm/Multivariate/complexes/CNJ_INV_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_divide_mono_r' 'hl/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lcm_divide_iff' 'hl/thm/int/INT_MAX_LE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_divide_r' 'hl/thm/int/INT_MIN_MIN_/1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_lt_mono_r' 'hl/thm/arith/LE_ADD_RCANCEL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_double_size_level' 'hl/thm/Multivariate/transcendentals/CX_COS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_lt_mono' 'hl/thm/real/REAL_LT_NEG_'
0. 'coq/Coq_NArith_BinNat_N_max_lub_iff' 'hl/thm/real/REAL_MAX_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_le_mono' 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_lt_lin'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_LE_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_pred_l' 'hl/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_pow2'#@#variant 'hl/thm/Multivariate/transcendentals/EXP_LOG_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pow_le_mono_r_iff'#@#variant 'hl/thm/Library/analysis/REAL_LE_LMUL_LOCAL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_le_mono_r' 'hl/thm/arith/LT_ADD_RCANCEL_'
0. 'coq/Coq_Reals_RIneq_Rplus_le_lt_compat' 'hl/thm/int/INT_LET_ADD2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mod_1_r'#@#variant 'hl/thm/Library/prime/INDEX_1_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_inv_normc' 'hl/thm/Complex/complexnumbers/CX_INV_'
0. 'coq/Coq_Arith_Mult_mult_lt_compat_r'#@#variant 'hl/thm/real/REAL_LT_RMUL_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_double_mul' 'hl/thm/arith/ADD_CLAUSES_2'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_1_l' 'hl/thm/int/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rmult_le_compat'#@#variant 'hl/thm/Library/analysis/REAL_LE_MUL2V_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_div_same'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_DIV_REFL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_rem_divide' 'hl/thm/Library/prime/DIVIDES_MOD_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_sub_le_add_r' 'hl/thm/real/REAL_LE_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_inj_wd' 'hl/thm/calc_num/ARITH_48'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_succ_diag_r' 'hl/thm/Library/analysis/LESS_EQ_SUC_REFL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_pos'#@#variant 'hl/thm/Library/pratt/PHI_LOWERBOUND_2_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lcm_divide_iff' 'hl/thm/int/INT_MAX_LE_'
0. 'coq/Coq_NArith_BinNat_N_add_lt_mono_r' 'hl/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_sqrt_sqrt_up' 'hl/thm/Multivariate/transcendentals/REAL_EXP_LE_X_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_min_lt_iff' 'hl/thm/real/REAL_MIN_LE_'
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_1_r' 'hl/thm/Library/prime/INDEX_0_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Ring31_Int31ring_add_assoc'#@#variant 'hl/thm/realax/NADD_MUL_ASSOC_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_lt_mono_r'#@#variant 'hl/thm/real/REAL_LE_LMUL_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_even_2' 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_lt_iff' 'hl/thm/int/INT_LE_MAX_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_even_1'#@#variant 'hl/thm/Multivariate/complexes/IM_II_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pred_succ' 'hl/thm/Library/transc/LN_EXP_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_opp_r' 'hl/thm/int/INT_SUB_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pred_div2_up' 'hl/thm/Multivariate/transcendentals/CX_TAN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_succ_l' 'hl/thm/Multivariate/transcendentals/RPOW_INV_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_of_Qc' 'hl/thm/Library/floor/INT_OF_REAL_OF_INT_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_even_1' 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_gcd_greatest' 'hl/thm/Library/integer/INT_DIVIDES_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_sub_r' 'hl/thm/Library/prime/DIVIDES_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lcm_1_l'#@#variant 'hl/thm/realax/REAL_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_eq_0_iff' 'hl/thm/Multivariate/transcendentals/RPOW_EQ_0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_nonneg'#@#variant 'hl/thm/real/REAL_LE_INV_EQ_'#@#variant
0. 'coq/__constr_Coq_Init_Peano_le_0_1' 'hl/thm/realax/TREAL_EQ_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_eq_le_incl' 'hl/thm/int/INT_EQ_IMP_LE_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_lcm_r' 'hl/thm/int/INT_MAX_MAX_/1'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_even_0' 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_divide_mono_l' 'hl/thm/Library/integer/INT_DIVIDES_MUL_L_'
0. 'coq/Coq_Reals_Rtrigo1_sin_lb_gt_0'#@#variant 'hl/thm/Multivariate/transcendentals/SIN_POS_PI_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_le_mono' 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div2_double' 'hl/thm/Multivariate/transcendentals/CCOS_CACS_'#@#variant
0. 'coq/Coq_Reals_RIneq_Ropp_mult_distr_r_reverse' 'hl/thm/int/INT_NEG_RMUL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lcm_0_r' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RZERO_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_lt' 'hl/thm/realax/NADD_OF_NUM_LE_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_bounded/0'#@#variant 'hl/thm/Library/floor/INTEGER_CLOSED_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_lxor_r' 'hl/thm/int/INT_MUL_RNEG_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_le_mono_r' 'hl/thm/arith/LT_ADD_RCANCEL_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_neg_is_neg' 'hl/thm/Multivariate/transcendentals/ARG_/1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_divide_iff' 'hl/thm/int/INT_LT_MIN_'
0. 'coq/Coq_Arith_PeanoNat_Nat_pred_succ' 'hl/thm/Multivariate/transcendentals/CCOS_CACS_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_null'#@#variant 'hl/thm/real/REAL_SGN_EQ_1'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_lt_add_diag_r' 'hl/thm/real/REAL_MAX_MAX_/0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_quot_rem' 'hl/thm/arith/DIVISION_SIMP_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_le_mono_r' 'hl/thm/int/INT_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_le_mono_r_iff'#@#variant 'hl/thm/int/INT_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_succ_diag_r' 'hl/thm/real/REAL_ABS_LE_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_max_distr' 'hl/thm/realax/TREAL_ADD_LDISTRIB_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_square_nonneg'#@#variant 'hl/thm/realarith/REAL_LE_SQUARE_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_double_succ' 'hl/thm/nums/BIT0_DEF_1'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_le_lin'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_LT_X_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_opp_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_nlt_ge' 'hl/thm/int/INT_NOT_LE_'
0. 'coq/Coq_Reals_Ratan_Datan_seq_pos'#@#variant 'hl/thm/Library/floor/INTEGER_POW_'
0. 'coq/Coq_ZArith_BinInt_Z_divide_refl' 'hl/thm/int/INT_LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_le_iff' 'hl/thm/real/REAL_LE_MAX_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_neg_iff'#@#variant 'hl/thm/real/REAL_SGN_EQ_1'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_succ_l' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lcm_divide_iff' 'hl/thm/int/INT_MAX_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_odd_1'#@#variant 'hl/thm/nums/ZERO_DEF_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_succ_r' 'hl/thm/arith/EXP_1'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_carry_reg_l' 'hl/thm/realax/HREAL_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_pow' 'hl/thm/int/INT_MUL_LNEG_'
0. 'coq/Coq_ZArith_BinInt_Z_divide_add_r' 'hl/thm/Complex/cpoly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_le_mono' 'hl/thm/Library/transc/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_2' 'hl/thm/Multivariate/transcendentals/ASN_0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ldiff_diag' 'hl/thm/int/INT_SUB_REFL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_opp_r' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RNEG_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_invc' 'hl/thm/Complex/complexnumbers/CX_NEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_pos'#@#variant 'hl/thm/real/REAL_LE_INV_EQ_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_inj_wd' 'hl/thm/Library/transc/REAL_EXP_INJ_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_le_iff' 'hl/thm/real/REAL_LE_MAX_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_lt_mono_l' 'hl/thm/arith/LT_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div_le_mono' 'hl/thm/arith/DIV_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_even_0' 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_id' 'hl/thm/int/INT_MAX_ACI_3'
0. 'coq/Coq_Reals_R_sqrt_Rsqr_sqrt'#@#variant 'hl/thm/Multivariate/transcendentals/EXP_LOG_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z2Pos_inj_sqrt' 'hl/thm/int/int_neg_th_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_le_mono_nonneg_l'#@#variant 'hl/thm/Library/analysis/REAL_LT_LMUL_IMP_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_shiftr_opp_r' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_add_le' 'hl/thm/int/INT_ABS_TRIANGLE_'
0. 'coq/Coq_PArith_Pnat_SuccNat2Pos_inj_succ' 'hl/thm/Multivariate/transcendentals/CX_SIN_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_lub_r' 'hl/thm/Library/prime/DIVIDES_LMUL2_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_eq_cases' 'hl/thm/arith/LE_LT_'
0. 'coq/Coq_Reals_RIneq_Rge_refl' 'hl/thm/Library/prime/DIVIDES_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_max_l' 'hl/thm/int/INT_MAX_MAX_/0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_odd_1'#@#variant 'hl/thm/Multivariate/complexes/IM_II_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_shuffle3' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_AC_2'
0. 'coq/Coq_PArith_BinPos_Pos_mul_1_l' 'hl/thm/realax/REAL_MUL_LID_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lnot_lor' 'hl/thm/Multivariate/transcendentals/REAL_EXP_SUB_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_0_r' 'hl/thm/Library/prime/DIVIDES_0_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rplus_gt_compat_l' 'hl/thm/realax/TREAL_LE_LADD_IMP_'#@#variant
0. 'coq/Coq_ZArith_Zeven_Zquot2_opp' 'hl/thm/calc_num/ARITH_2'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_le' 'hl/thm/realax/NADD_OF_NUM_LE_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_succ_l' 'hl/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_Reals_RIneq_Ropp_0_ge_le_contravar'#@#variant 'hl/thm/Multivariate/transcendentals/REAL_EXP_LT_1_'#@#variant
0. 'coq/Coq_ZArith_Zquot_Zquot_opp_l' 'hl/thm/Multivariate/transcendentals/REAL_ABS_RPOW_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pred_div2_up' 'hl/thm/Multivariate/complexes/CX_INV_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_opp' 'hl/thm/Multivariate/complexes/IM_CNJ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_pos_neg'#@#variant 'hl/thm/int/INT_NEG_GT0_'#@#variant
0. 'coq/Coq_Reals_Rsqrt_def_Rsqrt_positivity'#@#variant 'hl/thm/Multivariate/complexes/REAL_CX_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_nonpos' 'hl/thm/calc_num/ARITH_92'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_ge_cases' 'hl/thm/int/INT_LET_TOTAL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_pred_l' 'hl/thm/Library/floor/FLOOR_/1'
0. 'coq/Coq_ZArith_BinInt_Z_divide_refl' 'hl/thm/Multivariate/misc/GE_REFL_'
0. 'coq/Coq_ZArith_Zpower_two_p_correct' 'hl/thm/int/INT_SUB_LZERO_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_pos'#@#variant 'hl/thm/int/INT_SGN_INEQS_0'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_succ_r' 'hl/thm/arith/LT_SUC_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pred_le_mono' 'hl/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_lt_mono_l' 'hl/thm/real/REAL_LT_LADD_'
0. 'coq/Coq_NArith_BinNat_N_add_lt_le_mono' 'hl/thm/real/REAL_LTE_ADD2_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_divide_mono_r' 'hl/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_nonneg_pos'#@#variant 'hl/thm/realarith/REAL_LET_ADD_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_le_add_le_sub_r' 'hl/thm/Library/analysis/SUB_LEFT_GREATER_EQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_shiftr' 'hl/thm/real/REAL_SUB_LNEG_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pred_succ' 'hl/thm/Multivariate/transcendentals/CSIN_CASN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_total' 'hl/thm/Library/analysis/LESS_LESS_CASES_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_divide_mono_l' 'hl/thm/int/INT_LE_LADD_IMP_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_land_assoc' 'hl/thm/realax/NADD_ADD_ASSOC_'
0. 'coq/Coq_ZArith_BinInt_Z_add_pos_nonneg'#@#variant 'hl/thm/int/INT_LTE_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_glb' 'hl/thm/Library/integer/INT_DIVIDES_ADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_nlt_0_r' 'hl/thm/Library/prime/NOT_LESS_0_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_even_0' 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_pos'#@#variant 'hl/thm/calc_num/ARITH_40'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_clearbit_spec_prime'#@#variant 'hl/thm/Complex/complexnumbers/complex_sub_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_eq_mul_0' 'hl/thm/Complex/complexnumbers/COMPLEX_ENTIRE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_add_lt_sub_r' 'hl/thm/int/INT_LT_SUB_RADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_sub' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_ADD_'
0. 'coq/Coq_QArith_QOrderedType_QOrder_eq_refl' 'hl/thm/Complex/cpoly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_1_r'#@#variant 'hl/thm/arith/ADD1_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_shiftl_mul_pow2'#@#variant 'hl/thm/Multivariate/complexes/complex_div_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_shiftl_opp_r' 'hl/thm/Multivariate/complexes/complex_div_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_glb_iff' 'hl/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_nonneg_pos'#@#variant 'hl/thm/int/INT_LET_ADD_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_divide_sub_r' 'hl/thm/Library/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_glb' 'hl/thm/Library/integer/INT_DIVIDES_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_add_r' 'hl/thm/realax/HREAL_LE_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_pred_l' 'hl/thm/Library/pocklington/PHI_LIMIT_'
0. 'coq/Coq_Reals_Rminmax_R_max_le_compat_l' 'hl/thm/int/INT_LE_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_shuffle3' 'hl/thm/int/INT_ADD_AC_2'
0. 'coq/Coq_PArith_BinPos_Pos_add_cancel_l' 'hl/thm/calc_int/REAL_EQ_ADD_LCANCEL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_2' 'hl/thm/Library/transc/SIN_0_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_id' 'hl/thm/real/REAL_MAX_ACI_3'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lxor_0_l' 'hl/thm/arith/MULT_CLAUSES_2'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_nonneg_r'#@#variant 'hl/thm/real/REAL_LT_RMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sub_succ_r' 'hl/thm/arith/SUB_1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_lt_mono'#@#variant 'hl/thm/Library/analysis/REAL_LT_MUL2_ALT_'#@#variant
0. 'coq/Coq_Reals_Exp_prop_exp_pos_pos'#@#variant 'hl/thm/Library/floor/INTEGER_CLOSED_6'
0. 'coq/Coq_QArith_QArith_base_Qinv_lt_0_compat'#@#variant 'hl/thm/Multivariate/transcendentals/REAL_SIN_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lcm_divide_iff' 'hl/thm/int/INT_MAX_LE_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_of_Z' 'hl/thm/Multivariate/complexes/RE_CX_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_add_r' 'hl/thm/Library/prime/DIVIDES_ADD_'
0. 'coq/Coq_QArith_Qminmax_Q_min_glb_lt_iff' 'hl/thm/int/INT_LE_MIN_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_mod' 'hl/thm/arith/MOD_ADD_MOD_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qplus_inj_r' 'hl/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_Reals_RIneq_Rge_or_gt' 'hl/thm/arith/LET_CASES_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_le_mono_l' 'hl/thm/realax/NADD_LE_LADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_1_l' 'hl/thm/realax/NADD_LE_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_pos' 'hl/thm/calc_num/ARITH_80'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_pos'#@#variant 'hl/thm/real/REAL_SGN_INEQS_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_gt_cases' 'hl/thm/int/INT_NOT_EQ_'
0. 'coq/Coq_NArith_BinNat_N_log2_pos'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_POS_LT_'#@#variant
0. 'coq/Coq_QArith_Qabs_Qabs_Qmult' 'hl/thm/int/INT_ABS_TRIANGLE_'
0. 'coq/Coq_ZArith_Znat_N2Z_is_nonneg'#@#variant 'hl/thm/real/REAL_LT_POW2_'#@#variant
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_iff' 'hl/thm/Multivariate/complexes/CX_INJ_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_sub_le_mono_r' 'hl/thm/realax/HREAL_LE_MUL_RCANCEL_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_odd_1'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_0_l' 'hl/thm/int/INT_ADD_LID_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_sub_r' 'hl/thm/Library/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Reals_Raxioms_Rmult_1_l' 'hl/thm/arith/ADD_CLAUSES_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_lxor_l' 'hl/thm/Multivariate/transcendentals/REAL_ABS_RPOW_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_diag' 'hl/thm/arith/MULT_2_'#@#variant
0. 'coq/Coq_fourier_Fourier_util_Rlt_zero_pos_plus1'#@#variant 'hl/thm/Multivariate/vectors/SQRT_POS_LT_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_le_mono_l' 'hl/thm/realax/HREAL_LE_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_square_spec' 'hl/thm/real/REAL_MUL_2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_lteq' 'hl/thm/int/INT_LE_LT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_nonneg'#@#variant 'hl/thm/Multivariate/vectors/SQRT_LE_0_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_pos' 'hl/thm/int/INT_SGN_INEQS_3'#@#variant
0. 'coq/Coq_NArith_Nnat_N2Nat_id' 'hl/thm/Complex/complexnumbers/complex_tybij_raw_0'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_le_max_l' 'hl/thm/arith/LE_ADD_'
0. 'coq/Coq_Bool_Bool_eqb_true_iff' 'hl/thm/realarith/REAL_SUB_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_sub' 'hl/thm/arith/ADD_SUB_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_eq_cases' 'hl/thm/arith/LE_LT_'
0. 'coq/Coq_PArith_BinPos_Pos_min_1_r' 'hl/thm/realax/HREAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_eq_le_incl' 'hl/thm/real/REAL_EQ_IMP_LE_'
0. 'coq/Coq_Arith_PeanoNat_Nat_min_le_compat_r' 'hl/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_ldiff_ldiff_l' 'hl/thm/arith/EXP_MULT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_le_mono' 'hl/thm/arith/FACT_MONO_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_0_r' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RZERO_'#@#variant
0. 'coq/Coq_ZArith_Znat_Zabs_nat_N' 'hl/thm/int/int_of_num_th_'
0. 'coq/Coq_Arith_Minus_minus_diag_reverse' 'hl/thm/int/INT_SUB_REFL_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_lt_mono_r' 'hl/thm/realax/HREAL_LE_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_lt_iff' 'hl/thm/real/REAL_LE_MAX_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_pred_l' 'hl/thm/Multivariate/transcendentals/RPOW_INV_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_gt_cases' 'hl/thm/int/INT_LET_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_total' 'hl/thm/int/INT_LT_TOTAL_'
0. 'coq/Coq_ZArith_Znat_Z2N_inj_0' 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_factor_r' 'hl/thm/arith/LE_ADDR_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_le_compat_r' 'hl/thm/realax/HREAL_LE_MUL_RCANCEL_IMP_'
0. 'coq/Coq_PArith_Pnat_Nat2Pos_inj_pred' 'hl/thm/int/int_neg_th_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_le_compat_l' 'hl/thm/realax/NADD_MUL_WELLDEF_LEMMA_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_0_l' 'hl/thm/realarith/REAL_POLY_NEG_CLAUSES_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_lub_iff' 'hl/thm/real/REAL_MAX_LT_'
0. 'coq/Coq_Init_Peano_le_n_S' 'hl/thm/Library/transc/ATN_MONO_LT_'
0. 'coq/Coq_PArith_BinPos_Pos_min_glb' 'hl/thm/Library/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_sub_lt_add_r' 'hl/thm/real/REAL_LE_SUB_LADD_'
0. 'coq/Coq_Reals_RIneq_Rmult_le_compat_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_pred_pos'#@#variant 'hl/thm/Multivariate/transcendentals/EXP_LOG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div2_nonneg'#@#variant 'hl/thm/Multivariate/vectors/SQRT_LT_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_gcd_divide_l' 'hl/thm/int/INT_MIN_MIN_/0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_inj_wd' 'hl/thm/calc_num/ARITH_54'
0. 'coq/Coq_Reals_ROrderedType_ROrder_not_ge_lt' 'hl/thm/int/INT_LET_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_nge' 'hl/thm/Library/analysis/real_le_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_lt_lin'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_LE_X_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_nge' 'hl/thm/realarith/REAL_NOT_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_land_diag' 'hl/thm/real/REAL_MAX_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_lt_lin' 'hl/thm/Multivariate/transcendentals/LOG_LT_X_'
0. 'coq/Coq_Reals_Rminmax_R_min_glb_iff' 'hl/thm/real/REAL_LT_MIN_'
0. 'coq/Coq_Reals_Rminmax_R_min_le_compat_l' 'hl/thm/real/REAL_LT_LADD_IMP_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_greatest' 'hl/thm/Library/integer/INT_DIVIDES_SUB_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_even_sub' 'hl/thm/int/INT_OF_NUM_SUB_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_div2' 'hl/thm/Multivariate/complexes/IM_CNJ_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_lt_mono_r_iff'#@#variant 'hl/thm/real/REAL_LE_LMUL_EQ_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_le_lt_mono' 'hl/thm/arith/LET_ADD2_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_le_lin'#@#variant 'hl/thm/Library/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_involutive' 'hl/thm/Complex/complexnumbers/COMPLEX_INV_INV_'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_lt_total' 'hl/thm/Library/prime/LESS_LESS_CASES_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_opp' 'hl/thm/Multivariate/vectors/REAL_SGN_SQRT_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_le_mono_r' 'hl/thm/realax/NADD_LE_RADD_'
0. 'coq/Coq_ZArith_Znat_positive_nat_Z' 'hl/thm/int/int_of_num_'
0. 'coq/Coq_Reals_Rtrigo_def_cos_sym' 'hl/thm/Multivariate/vectors/REAL_SGN_SQRT_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_refl' 'hl/thm/realax/REAL_LE_REFL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_0_iff' 'hl/thm/real/REAL_INV_EQ_0_'#@#variant
0. 'coq/Coq_ZArith_Zpower_Zpower_pos_is_exp' 'hl/thm/Multivariate/complexes/COMPLEX_POW_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_0_iff' 'hl/thm/real/REAL_SGN_INEQS_9'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_pos'#@#variant 'hl/thm/Multivariate/transcendentals/REAL_EXP_LT_1_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_opp_diag_l' 'hl/thm/realax/REAL_ADD_LINV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_pred_succ' 'hl/thm/Multivariate/transcendentals/CCOS_CACS_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_0_r' 'hl/thm/Library/prime/INDEX_0_'#@#variant
0. 'coq/Coq_ZArith_Zlogarithm_log_inf_correct/1' 'hl/thm/Complex/complex_transc/COMPLEX_NORM_GE_RE_IM_/0'
0. 'coq/Coq_Reals_RIneq_pos_INR'#@#variant 'hl/thm/realarith/REAL_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_add_le_sub_r' 'hl/thm/real/REAL_LT_SUB_LADD_'
0. 'coq/Coq_ZArith_BinInt_Z_pow_lt_mono'#@#variant 'hl/thm/Library/analysis/REAL_LE_MUL2V_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pow_le_mono_l' 'hl/thm/Library/analysis/LESS_MONO_ADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_le_mono_l' 'hl/thm/arith/LT_ADD_LCANCEL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_pred_l' 'hl/thm/calc_int/REAL_MUL_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_le_mono_l' 'hl/thm/realax/HREAL_LE_ADD_LCANCEL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_gcd_greatest' 'hl/thm/Library/integer/INT_DIVIDES_ADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_l' 'hl/thm/realax/NADD_MUL_WELLDEF_LEMMA_'
0. 'coq/Coq_ZArith_BinInt_Z_divide_factor_r' 'hl/thm/real/REAL_MAX_MAX_/1'
0. 'coq/Coq_NArith_BinNat_N_even_2'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qcle_not_lt' 'hl/thm/real/REAL_LET_ANTISYM_'
0. 'coq/Coq_ZArith_BinInt_Z_even_1'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_cancel_l' 'hl/thm/realax/HREAL_EQ_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_trichotomy' 'hl/thm/arith/LT_CASES_'
0. 'coq/Coq_ZArith_Zorder_Zsucc_le_compat' 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_ZArith_BinInt_Zpred_succ' 'hl/thm/Multivariate/transcendentals/CSIN_CASN_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_succ_r' 'hl/thm/arith/LT_SUC_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_neq_succ_0' 'hl/thm/nums/NOT_SUC_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_land_m1_l'#@#variant 'hl/thm/int/INT_ADD_LID_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_mod_idemp_l' 'hl/thm/arith/MOD_MULT_LMOD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_lt_mono' 'hl/thm/real/REAL_LT_NEG_'
0. 'coq/Coq_PArith_BinPos_Pos_lt_irrefl' 'hl/thm/realarith/REAL_LT_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_le_compat_r' 'hl/thm/Library/prime/DIVIDES_EXP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_opp' 'hl/thm/real/REAL_ABS_INV_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_1_mul_pos'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_LE_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_le_mono_l' 'hl/thm/real/REAL_LT_LADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_involutive' 'hl/thm/int/INT_SGN_INT_SGN_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_lt_iff' 'hl/thm/real/REAL_LE_MAX_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_eq_le_incl' 'hl/thm/real/REAL_EQ_IMP_LE_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_le_mono_r' 'hl/thm/realax/NADD_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_odd_0' 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_1_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lcm_eq_0' 'hl/thm/Complex/complexnumbers/COMPLEX_ENTIRE_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_le_mono_l' 'hl/thm/real/REAL_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_r' 'hl/thm/Library/integer/INT_DIVIDES_MUL_R_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_inj_wd' 'hl/thm/calc_num/ARITH_48'
0. 'coq/Coq_Arith_Gt_plus_gt_reg_l' 'hl/thm/realax/NADD_ADD_LCANCEL_'
0. 'coq/Coq_Reals_Rminmax_R_le_max_l' 'hl/thm/real/REAL_MAX_MAX_/0'
0. 'coq/Coq_ZArith_Znat_positive_nat_N' 'hl/thm/int/int_of_num_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_add_diag_r' 'hl/thm/realax/NADD_LE_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_sub_r' 'hl/thm/Library/prime/DIVIDES_SUB_'
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_le_lin'#@#variant 'hl/thm/Library/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_double'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_diag' 'hl/thm/int/INT_MAX_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_divide_mono_r' 'hl/thm/arith/EXP_MONO_LE_IMP_'
0. 'coq/Coq_NArith_BinNat_N_pow_le_mono_r_iff'#@#variant 'hl/thm/int/INT_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_clearbit_spec_prime'#@#variant 'hl/thm/Complex/complexnumbers/complex_sub_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_null_iff' 'hl/thm/real/REAL_INV_EQ_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_shuffle3' 'hl/thm/arith/ADD_AC_2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_0_l' 'hl/thm/realarith/REAL_POLY_NEG_CLAUSES_0'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_1_r'#@#variant 'hl/thm/arith/ADD1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_clearbit_spec_prime'#@#variant 'hl/thm/realax/real_div_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_2' 'hl/thm/Library/transc/SIN_0_'
0. 'coq/Coq_QArith_Qreduction_Qred_comp' 'hl/thm/arith/FACT_MONO_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_lt_lin' 'hl/thm/Multivariate/transcendentals/LOG_LT_X_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_lt_mono_l' 'hl/thm/arith/LT_ADD_LCANCEL_'
0. 'coq/Coq_PArith_BinPos_Pos_add_diag' 'hl/thm/arith/BIT0_'
0. 'coq/Coq_QArith_Qminmax_Q_min_glb' 'hl/thm/Library/integer/INT_DIVIDES_ADD_'
0. 'coq/Coq_Bool_Bool_negb_andb' 'hl/thm/Complex/complex_transc/CEXP_SUB_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_le_lin' 'hl/thm/Library/pocklington/PHI_LIMIT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_succ_l' 'hl/thm/Multivariate/transcendentals/REAL_ABS_RPOW_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_trichotomy' 'hl/thm/real/REAL_LT_TOTAL_'
0. 'coq/Coq_ZArith_Zpower_two_power_nat_S'#@#variant 'hl/thm/int/int_sgn_th_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_le_compat_l' 'hl/thm/realax/TREAL_LE_LADD_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_lxor_r' 'hl/thm/int/INT_MUL_RNEG_'
0. 'coq/Coq_Arith_Min_min_idempotent' 'hl/thm/int/INT_MAX_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_glb' 'hl/thm/Library/prime/DIVIDES_ADD_'
0. 'coq/Coq_NArith_BinNat_N_ldiff_ldiff_l' 'hl/thm/Library/prime/EXP_EXP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_shuffle3' 'hl/thm/real/REAL_MUL_AC_2'
0. 'coq/Coq_Reals_RIneq_Rinv_0_lt_compat'#@#variant 'hl/thm/Multivariate/transcendentals/REAL_COS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_lt_mono_l' 'hl/thm/real/REAL_LT_LADD_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_divide' 'hl/thm/real/REAL_OF_NUM_GT_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_id' 'hl/thm/Multivariate/vectors/LIFT_DROP_0'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sqrt_le_lin' 'hl/thm/Library/pratt/PHI_LIMIT_'
0. 'coq/Coq_Init_Peano_O_S' 'hl/thm/Multivariate/transcendentals/REAL_EXP_NZ_'#@#variant
0. 'coq/Coq_Reals_Ratan_atan_opp' 'hl/thm/Multivariate/transcendentals/CNJ_CTAN_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_min_glb_lt_iff' 'hl/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_Reals_Raxioms_R1_neq_R0' 'hl/thm/Multivariate/transcendentals/PI_NZ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_even_spec' 'hl/thm/Multivariate/complexes/real_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftr_opp_r' 'hl/thm/Complex/complexnumbers/complex_div_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_greatest' 'hl/thm/Library/prime/DIVIDES_SUB_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_lt_iff' 'hl/thm/real/REAL_MIN_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_factor_l' 'hl/thm/arith/LE_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_add_lt_sub_r' 'hl/thm/Library/analysis/SUB_LEFT_GREATER_EQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_lt_mono_r' 'hl/thm/arith/LE_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_add_r' 'hl/thm/arith/LE_ADD_'
0. 'coq/Coq_Reals_Ratan_atan_bound/1'#@#variant 'hl/thm/calc_num/ARITH_82'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_add_le' 'hl/thm/int/INT_ABS_TRIANGLE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_nonneg_l'#@#variant 'hl/thm/int/INT_LE_LMUL_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qlt_not_le' 'hl/thm/int/INT_LTE_ANTISYM_'
0. 'coq/Coq_NArith_Nnat_Nat2N_id' 'hl/thm/Multivariate/vectors/LIFT_DROP_0'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_nonneg'#@#variant 'hl/thm/calc_num/ARITH_40'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_lt_mono_pos_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LE_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lcm_eq_0' 'hl/thm/arith/MULT_EQ_0_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_succ_not_1' 'hl/thm/arith/FACT_NZ_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_minus_max_distr_l' 'hl/thm/arith/EXP_ADD_'
0. 'coq/Coq_ZArith_BinInt_Z2Pos_inj_sqrt' 'hl/thm/Multivariate/complexes/CX_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_nlt_ge' 'hl/thm/int/INT_NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_sub_l' 'hl/thm/real/REAL_MIN_MIN_/0'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftr_div_pow2'#@#variant 'hl/thm/realax/real_sub_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_0_l' 'hl/thm/int/INT_ADD_LID_'#@#variant
0. 'coq/Coq_Reals_Exp_prop_exp_pos_pos'#@#variant 'hl/thm/Library/floor/RATIONAL_NEG_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_neq' 'hl/thm/int/INT_LT_IMP_NE_'
0. 'coq/Coq_ZArith_Znat_Zabs2N_inj_succ'#@#variant 'hl/thm/Multivariate/transcendentals/CX_LOG_'#@#variant
0. 'coq/Coq_Arith_Plus_plus_lt_compat_r' 'hl/thm/Library/analysis/LESS_MONO_ADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_1_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant
0. 'coq/Coq_Reals_Ranalysis4_Rcontinuity_abs' 'hl/thm/Library/multiplicative/MULTIPLICATIVE_PHI_'
0. 'coq/Coq_Reals_Rtrigo1_cos_neg' 'hl/thm/Multivariate/transcendentals/COS_ABS_'
0. 'coq/Coq_Reals_RIneq_Rmult_le_reg_r'#@#variant 'hl/thm/real/REAL_LT_RCANCEL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_even_0' 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_eq_iff'#@#variant 'hl/thm/real/REAL_ABS_REFL_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_ldiff_ldiff_l' 'hl/thm/arith/EXP_MULT_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_nle' 'hl/thm/Library/analysis/real_le_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_land' 'hl/thm/Complex/complex_transc/CEXP_SUB_'
0. 'coq/Coq_ZArith_Zorder_Zsucc_lt_compat' 'hl/thm/arith/FACT_MONO_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_lt_mono_l' 'hl/thm/arith/DIV_MONO_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lor_m1_r'#@#variant 'hl/thm/arith/MULT_0_'#@#variant
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_double'#@#variant 'hl/thm/Complex/complexnumbers/CX_NEG_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_abs' 'hl/thm/Multivariate/complexes/IM_CNJ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LE_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_lt' 'hl/thm/realax/REAL_OF_NUM_LE_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_glb_lt' 'hl/thm/Complex/cpoly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rnot_le_lt' 'hl/thm/int/INT_LET_TOTAL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_max_r' 'hl/thm/int/INT_MAX_MAX_/1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_le_compat_r' 'hl/thm/Library/prime/LESS_MONO_ADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_divide_mul_l' 'hl/thm/Library/integer/INT_DIVIDES_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_le_mono' 'hl/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_gcd_greatest' 'hl/thm/Library/integer/INT_DIVIDES_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_succ' 'hl/thm/Library/transc/REAL_EXP_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pred_succ' 'hl/thm/arith/PRE_1'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_eq_cases' 'hl/thm/arith/LE_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_nonneg'#@#variant 'hl/thm/Library/floor/INTEGER_ABS_'
0. 'coq/Coq_NArith_BinNat_N_log2_lt_lin'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_LT_X_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_pred_l' 'hl/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_1_l' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_MINUS1_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_le_mono' 'hl/thm/Multivariate/transcendentals/ATN_MONO_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_pos'#@#variant 'hl/thm/real/REAL_LT_INV_EQ_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_divide_cancel_l' 'hl/thm/Library/prime/DIVIDES_LMUL2_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_gt_lt_iff' 'hl/thm/arith/GE_'
0. 'coq/Coq_Reals_Rtrigo_def_sin_antisym' 'hl/thm/real/REAL_ABS_SGN_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_divide' 'hl/thm/realax/REAL_OF_NUM_LE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_0_r' 'hl/thm/arith/MULT_0_'#@#variant
0. 'coq/Coq_Arith_Wf_nat_lt_wf' 'hl/thm/Library/analysis/DORDER_NGE_'
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_pos_l'#@#variant 'hl/thm/Library/analysis/REAL_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_omega_OmegaLemmas_Zred_factor2'#@#variant 'hl/thm/arith/MULT_SUC_'
0. 'coq/Coq_ZArith_Zeven_Zeven_Sn' 'hl/thm/Library/transc/LN_POS_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_div_add_l' 'hl/thm/arith/DIV_MULT_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_succ_l' 'hl/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_div2' 'hl/thm/Complex/complex_transc/CX_CCOS_'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tplus_comm_stable' 'hl/thm/Library/multiplicative/MULTIPLICATIVE_SIGMA_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_gt_cases' 'hl/thm/arith/LTE_CASES_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_ngt' 'hl/thm/int/INT_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_opp' 'hl/thm/Library/transc/TAN_NEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_max_l' 'hl/thm/real/REAL_MAX_MAX_/0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_diag' 'hl/thm/int/INT_MAX_ACI_3'
0. 'coq/Coq_NArith_BinNat_N_lcm_divide_iff' 'hl/thm/int/INT_MAX_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_opp_r' 'hl/thm/real/REAL_SUB_RNEG_'
0. 'coq/Coq_QArith_QArith_base_Qplus_lt_l' 'hl/thm/realax/HREAL_LE_ADD_RCANCEL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_lt_mono_pos_l'#@#variant 'hl/thm/real/REAL_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_inj_l' 'hl/thm/real/REAL_EQ_RCANCEL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_divide_mono_l' 'hl/thm/Library/prime/DIVIDES_MUL_L_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_le_compat_l' 'hl/thm/realax/NADD_MUL_WELLDEF_LEMMA_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_le_incl' 'hl/thm/arith/LT_IMP_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_le_mono' 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_shiftr' 'hl/thm/real/REAL_SUB_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_greatest' 'hl/thm/Library/prime/DIVIDES_ADD_'
0. 'coq/Coq_Sets_Powerset_facts_Empty_set_zero' 'hl/thm/lists/APPEND_0'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_le_lt_mono' 'hl/thm/arith/LET_ADD2_'
0. 'coq/Coq_Reals_RIneq_INR_IZR_INZ' 'hl/thm/int/int_of_num_th_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_succ_l' 'hl/thm/arith/ADD_CLAUSES_2'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_pos'#@#variant 'hl/thm/Library/pratt/PHI_LOWERBOUND_2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_sub_distr' 'hl/thm/real/REAL_SUB_LNEG_'
0. 'coq/Coq_QArith_QOrderedType_QOrder_lt_irrefl' 'hl/thm/int/INT_LT_REFL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_le_compat_l' 'hl/thm/realax/NADD_MUL_WELLDEF_LEMMA_'
0. 'coq/Coq_PArith_BinPos_Pos_add_cancel_l' 'hl/thm/arith/EQ_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_nonneg'#@#variant 'hl/thm/real/REAL_LT_INV_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div2_nonneg'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_POS_LE_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_nonneg_r'#@#variant 'hl/thm/int/INT_LE_RMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_lt_mono'#@#variant 'hl/thm/Library/analysis/REAL_LE_MUL2V_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_0_r' 'hl/thm/int/INT_MUL_RZERO_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_opp_inj_wd' 'hl/thm/int/INT_EQ_NEG2_'
0. 'coq/Coq_ZArith_Zquot_Zrem_opp_l' 'hl/thm/Multivariate/transcendentals/REAL_ABS_RPOW_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_opp_r' 'hl/thm/Multivariate/complexes/complex_div_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_0_r' 'hl/thm/Library/prime/DIVIDES_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lor_0_l' 'hl/thm/realax/HREAL_ADD_LID_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_pos' 'hl/thm/calc_num/ARITH_80'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_rem_opp_l_prime' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LNEG_'
0. 'coq/Coq_Reals_Exp_prop_div2_double'#@#variant 'hl/thm/Library/transc/ATN_TAN_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_le_mono_r' 'hl/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_divide_mono_r' 'hl/thm/Library/prime/DIVIDES_MUL_R_'
0. 'coq/Coq_ZArith_BinInt_Z_pred_inj_wd' 'hl/thm/Library/transc/REAL_EXP_INJ_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_le_mono_r' 'hl/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_nge' 'hl/thm/realax/real_lt_'
0. 'coq/Coq_QArith_QArith_base_Qle_not_lt' 'hl/thm/arith/LTE_ANTISYM_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_odd_2'#@#variant 'hl/thm/Multivariate/complexes/RE_II_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_eq_le_incl' 'hl/thm/realax/TREAL_EQ_AP_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_pos_cancel_l'#@#variant 'hl/thm/Library/floor/INTEGER_ADD_EQ_0'
0. 'coq/Coq_ZArith_BinInt_Z_divide_mul_l' 'hl/thm/Library/integer/INT_DIVIDES_RMUL_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_le' 'hl/thm/realax/REAL_OF_NUM_LE_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_irrefl' 'hl/thm/int/INT_LT_REFL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_lt_lin' 'hl/thm/Library/transc/LN_LT_X_'
0. 'coq/Coq_QArith_QArith_base_Qplus_inj_r' 'hl/thm/int/INT_LT_RADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_shuffle3' 'hl/thm/calc_int/REAL_ADD_AC_2'
0. 'coq/Coq_NArith_Ndist_ni_le_total' 'hl/thm/realax/HREAL_LE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftl_1_l'#@#variant 'hl/thm/realarith/REAL_POLY_NEG_CLAUSES_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_pos' 'hl/thm/calc_num/ARITH_80'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_max_r' 'hl/thm/real/REAL_MAX_MAX_/1'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_asymm' 'hl/thm/arith/LT_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_lxor_l' 'hl/thm/Multivariate/transcendentals/REAL_ABS_RPOW_'
0. 'coq/Coq_NArith_BinNat_N_add_sub_eq_r' 'hl/thm/Library/prime/ADD_IMP_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_lt_mono_pos_l'#@#variant 'hl/thm/int/INT_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_square_spec' 'hl/thm/real/REAL_MUL_2_'#@#variant
0. 'coq/Coq_ZArith_Znat_Z2N_inj_quot2' 'hl/thm/int/int_sgn_th_'
0. 'coq/Coq_PArith_Pnat_Nat2Pos_inj_pred' 'hl/thm/Multivariate/complexes/CX_INV_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_1_l' 'hl/thm/Library/prime/DIVIDES_1_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_1_l' 'hl/thm/int/INT_NEG_MINUS1_'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_sub' 'hl/thm/real/REAL_OF_NUM_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_le_mono_r' 'hl/thm/int/INT_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_lt_mono_r'#@#variant 'hl/thm/real/REAL_LE_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_clearbit_spec_prime'#@#variant 'hl/thm/int/INT_SUB_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_ge_cases' 'hl/thm/realax/TREAL_LE_TOTAL_'#@#variant
0. 'coq/__constr_Coq_Arith_Even_even_0_2' 'hl/thm/Multivariate/transcendentals/LOG_POS_LT_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zle_0_pos'#@#variant 'hl/thm/int/INT_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_pow2'#@#variant 'hl/thm/Library/transc/EXP_LN_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_nonneg_cancel_l'#@#variant 'hl/thm/int/INT_LE_MUL_EQ_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lnot_ones' 'hl/thm/int/INT_ADD_LINV_'#@#variant
0. 'coq/Coq_Bool_Bool_negb_involutive' 'hl/thm/Multivariate/complexes/CNJ_CNJ_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_le_ngt' 'hl/thm/arith/NOT_LE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_0_sub'#@#variant 'hl/thm/int/INT_SUB_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_pos'#@#variant 'hl/thm/Library/pratt/PHI_LOWERBOUND_1_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_land_diag' 'hl/thm/real/REAL_MAX_ACI_3'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Topp_plus_stable' 'hl/thm/Library/multiplicative/MULTIPLICATIVE_SIGMA_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_lub_r' 'hl/thm/Library/integer/INT_DIVIDES_LMUL2_'
0. 'coq/Coq_ZArith_Zdiv_Zdiv_opp_opp' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_MUL2_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_pos'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_POS_LT_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_xI_succ_xO' 'hl/thm/calc_num/ARITH_4'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_pos_l'#@#variant 'hl/thm/Library/analysis/REAL_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_involutive' 'hl/thm/Complex/complexnumbers/CNJ_CNJ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_pos'#@#variant 'hl/thm/Library/transc/REAL_EXP_LT_1_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_move_r' 'hl/thm/int/INT_EQ_SUB_RADD_'
0. 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_ge_le_iff' 'hl/thm/arith/GE_'
0. 'coq/Coq_QArith_QArith_base_Zle_Qle' 'hl/thm/realax/NADD_OF_NUM_LE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div_le_upper_bound' 'hl/thm/arith/LE_LDIV_'#@#variant
0. 'coq/Coq_Reals_Ratan_atan_increasing' 'hl/thm/realax/NADD_INV_WELLDEF_'
0. 'coq/Coq_QArith_Qminmax_Q_min_le_compat_r' 'hl/thm/Library/prime/DIVIDES_EXP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_trichotomy' 'hl/thm/Library/prime/LESS_LESS_CASES_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_gt' 'hl/thm/realax/NADD_OF_NUM_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_lub_iff' 'hl/thm/real/REAL_MAX_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_diag' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_REFL_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_glb_lt' 'hl/thm/Complex/cpoly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_pos_nonneg'#@#variant 'hl/thm/int/INT_LTE_ADD_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lt_sub_lt_add_r' 'hl/thm/Library/analysis/SUB_LEFT_GREATER_EQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_shuffle3' 'hl/thm/realax/HREAL_ADD_AC_2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_pred_r' 'hl/thm/Multivariate/transcendentals/RPOW_NEG_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_pow' 'hl/thm/Multivariate/transcendentals/REAL_INV_RPOW_'
0. 'coq/Coq_ZArith_BinInt_Z_gt_lt_iff' 'hl/thm/realax/real_ge_'
0. 'coq/Coq_PArith_BinPos_Pos_succ_pred_double' 'hl/thm/calc_num/ARITH_9'
0. 'coq/Coq_ZArith_BinInt_Z_le_add_le_sub_r' 'hl/thm/real/REAL_LE_SUB_RADD_'
0. 'coq/Coq_Reals_Rbasic_fun_Ropp_Rmax' 'hl/thm/Complex/complex_transc/CEXP_SUB_'
0. 'coq/Coq_QArith_Qcanon_Qclt_le_trans' 'hl/thm/realarith/REAL_LTE_TRANS_'
0. 'coq/Coq_PArith_BinPos_Pos_mul_cancel_r' 'hl/thm/realax/HREAL_EQ_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_lt_iff' 'hl/thm/int/INT_MIN_LT_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_le_compat_l' 'hl/thm/real/REAL_LT_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_pos' 'hl/thm/int/INT_SGN_INEQS_2'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_le_lin'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_LE_X_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_1_l'#@#variant 'hl/thm/Library/integer/INT_DIVIDES_1_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_max_lub_lt_iff' 'hl/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_PArith_BinPos_Pos_pow_succ_r' 'hl/thm/arith/EXP_1'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_land_0_r' 'hl/thm/Library/prime/INDEX_0_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lcm_eq_0' 'hl/thm/real/REAL_DIV_EQ_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_succ_diag_r' 'hl/thm/arith/LT_POW2_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_div2'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_LE_X_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_divide_Zpos' 'hl/thm/realax/NADD_OF_NUM_LE_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_pos' 'hl/thm/calc_num/ARITH_72'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_glb' 'hl/thm/Library/integer/INT_DIVIDES_ADD_'
0. 'coq/Coq_ZArith_BinInt_Z_min_le_compat_r' 'hl/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_nlt_ge' 'hl/thm/int/INT_NOT_LE_'
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_Zabs' 'hl/thm/Multivariate/transcendentals/CX_TAN_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_neq_succ_0' 'hl/thm/Library/transc/REAL_EXP_NZ_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_le_pred_l' 'hl/thm/Library/pratt/PHI_LIMIT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_eq_1'#@#variant 'hl/thm/arith/ADD_EQ_0_'#@#variant
0. 'coq/Coq_Numbers_Cyclic_DoubleCyclic_DoubleBase_wwB_wBwB'#@#variant 'hl/thm/Library/analysis/REAL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_divide_mono_r' 'hl/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_inj_wd' 'hl/thm/real/REAL_EQ_INV2_'
0. 'coq/Coq_Reals_Rtrigo1_COS_bound/0' 'hl/thm/Library/transc/ATN_BOUNDS_/0'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_max_le_iff' 'hl/thm/int/INT_LE_MAX_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_shuffle3' 'hl/thm/realax/HREAL_ADD_AC_2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_le_mono_nonneg_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LT_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_sgn' 'hl/thm/Multivariate/complexes/CX_INV_'#@#variant
0. 'coq/Coq_MMaps_MMapPositive_PositiveMap_lt_rev_append' 'hl/thm/Library/integer/INT_DIVIDES_MUL_L_'
0. 'coq/Coq_ZArith_BinInt_Z_log2_le_lin'#@#variant 'hl/thm/Library/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_0_l' 'hl/thm/arith/MULT_CLAUSES_2'#@#variant
0. 'coq/Coq_Arith_Plus_plus_lt_compat_l' 'hl/thm/realax/NADD_MUL_WELLDEF_LEMMA_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_quot_pos'#@#variant 'hl/thm/int/INT_LTE_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_add_r' 'hl/thm/Complex/cpoly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_sgn' 'hl/thm/int/int_abs_th_'
0. 'coq/Coq_Reals_Rtrigo1_COS_bound/1' 'hl/thm/calc_num/ARITH_93'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_pred_double_spec' 'hl/thm/calc_num/ARITH_4'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_opp' 'hl/thm/Complex/complex_transc/CX_CEXP_'
0. 'coq/Coq_QArith_Qminmax_Q_min_le_compat_l' 'hl/thm/realax/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div2_spec'#@#variant 'hl/thm/arith/ADD1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_divide_r' 'hl/thm/int/INT_MIN_MIN_/1'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_refl' 'hl/thm/realax/TREAL_LE_REFL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_eq_opp_r' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_EQ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_lt_mono_r' 'hl/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_add_cancel_r' 'hl/thm/Complex/cpoly/POLY_DIVIDES_SUB_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_iff' 'hl/thm/int/int_eq_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_divide_add_cancel_l' 'hl/thm/Complex/cpoly/POLY_DIVIDES_SUB2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_gt_lt_iff' 'hl/thm/int/INT_GE_'
0. 'coq/__constr_Coq_Init_Peano_le_0_1' 'hl/thm/realax/NADD_LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_le_mono_l' 'hl/thm/realax/HREAL_LE_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_le_mono_nonneg_l'#@#variant 'hl/thm/int/INT_LE_LMUL_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_ge' 'hl/thm/realax/NADD_OF_NUM_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_le_mono_pos_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LT_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_double_succ' 'hl/thm/nums/BIT0_DEF_1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_nonneg'#@#variant 'hl/thm/real/REAL_NEG_GE0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_lt_mono_r' 'hl/thm/realax/HREAL_LE_ADD_RCANCEL_'
0. 'coq/Coq_Reals_Raxioms_Rlt_asym' 'hl/thm/real/REAL_LT_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_clearbit_spec_prime'#@#variant 'hl/thm/realax/real_div_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_pos_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_POS_LE_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_abs_lt' 'hl/thm/real/REAL_ABS_BOUNDS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_shuffle3' 'hl/thm/arith/ADD_AC_2'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_le_lin'#@#variant 'hl/thm/Library/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_nlt_1_r' 'hl/thm/Library/analysis/NOT_LESS_0_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_r' 'hl/thm/Library/analysis/LESS_MONO_ADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_le_mono_l' 'hl/thm/Library/integer/INT_DIVIDES_MUL_R_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_inj_wd' 'hl/thm/Complex/complexnumbers/CNJ_INJ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ldiff_land' 'hl/thm/Complex/complexnumbers/complex_div_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_oppc' 'hl/thm/int/int_abs_th_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_double'#@#variant 'hl/thm/Library/transc/LN_INV_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_le_compat_l' 'hl/thm/Library/integer/INT_DIVIDES_MUL_L_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_lt_mono_l_iff' 'hl/thm/Library/integer/INT_DIVIDES_RMUL2_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_le_mono_l' 'hl/thm/real/REAL_LT_LADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_even_1'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_eq_opp_l' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_EQ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_0_l' 'hl/thm/realarith/REAL_POLY_NEG_CLAUSES_0'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_odd_1'#@#variant 'hl/thm/Multivariate/complexes/RE_II_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_lt_mono_l' 'hl/thm/arith/LE_ADD_LCANCEL_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_le_compat_r' 'hl/thm/Library/prime/LESS_MONO_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_rem_opp_l_prime' 'hl/thm/arith/ADD_CLAUSES_2'
0. 'coq/Coq_Reals_RIneq_le_INR' 'hl/thm/Library/calc_real/REAL_MONO_POW2_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_neg_iff'#@#variant 'hl/thm/int/INT_SGN_EQ_1'#@#variant
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_double_plus_one' 'hl/thm/Multivariate/transcendentals/CX_TAN_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zle_0_pos'#@#variant 'hl/thm/Library/floor/RATIONAL_NUM_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_pos'#@#variant 'hl/thm/Library/transc/ATN_POS_LT_'#@#variant
0. 'coq/Coq_ZArith_Znat_Z2Nat_inj_0' 'hl/thm/nums/ZERO_DEF_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_le_compat_r' 'hl/thm/Library/prime/DIVIDES_MUL_R_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_shuffle3' 'hl/thm/real/REAL_MUL_AC_2'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div2_succ_double' 'hl/thm/Library/transc/LN_EXP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_clearbit_spec_prime'#@#variant 'hl/thm/Complex/complexnumbers/complex_div_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_red' 'hl/thm/Multivariate/transcendentals/CX_TAN_'#@#variant
0. 'coq/Coq_Reals_Rfunctions_R_dist_eq' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_REFL_'#@#variant
0. 'coq/Coq_Reals_Ratan_atan_increasing' 'hl/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_land_0_r' 'hl/thm/Library/prime/INDEX_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_refl' 'hl/thm/realax/NADD_LE_REFL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_1_l'#@#variant 'hl/thm/arith/LE_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_inv_norm' 'hl/thm/Library/floor/INTEGER_CLOSED_5'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_1_r'#@#variant 'hl/thm/realax/HREAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_land_lnot_diag' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_RINV_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_le_compat_r' 'hl/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_1_l'#@#variant 'hl/thm/arith/MULT_CLAUSES_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_mod_idemp_r' 'hl/thm/arith/MOD_MULT_RMOD_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_divide_cancel_r' 'hl/thm/Library/prime/DIVIDES_RMUL2_EQ_'#@#variant
0. 'coq/Coq_Bool_Bool_xorb_false_l' 'hl/thm/int/INT_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_pos'#@#variant 'hl/thm/Library/transc/LN_POS_'#@#variant
0. 'coq/Coq_ZArith_Zquot_Zrem_opp_l' 'hl/thm/int/INT_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_square_nonneg'#@#variant 'hl/thm/int/INT_LE_SQUARE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_diag' 'hl/thm/real/REAL_MAX_ACI_3'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_divide_iff' 'hl/thm/int/INT_LT_MIN_'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_reduce_stable' 'hl/thm/Library/multiplicative/MULTIPLICATIVE_SIGMA_'
0. 'coq/Coq_ZArith_Zeven_Zodd_pred' 'hl/thm/Library/transc/LN_POS_'#@#variant
0. 'coq/Coq_Arith_Min_min_0_r' 'hl/thm/realax/HREAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_land_0_r' 'hl/thm/calc_int/REAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_succ' 'hl/thm/Complex/complex_transc/CX_CSIN_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_0_l' 'hl/thm/realax/HREAL_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_even_0' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftl_opp_r' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_sub_lt_add_r' 'hl/thm/real/REAL_LT_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_min_l' 'hl/thm/real/REAL_MIN_MIN_/0'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_succ_not_1' 'hl/thm/Multivariate/transcendentals/REAL_EXP_NZ_'#@#variant
0. 'coq/Coq_Reals_Rfunctions_pow_add' 'hl/thm/real/REAL_POW_ADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_land_diag' 'hl/thm/real/REAL_MAX_ACI_3'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_1_2' 'hl/thm/Library/transc/PI2_BOUNDS_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_glb_lt' 'hl/thm/Library/prime/DIVIDES_SUB_'
0. 'coq/Coq_Arith_PeanoNat_Nat_ldiff_ldiff_l' 'hl/thm/arith/EXP_MULT_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_div2' 'hl/thm/int/int_abs_th_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_nonneg_r'#@#variant 'hl/thm/Library/analysis/REAL_LE_RMUL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_asymm' 'hl/thm/int/INT_LT_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_refl' 'hl/thm/arith/LE_REFL_'
0. 'coq/Coq_QArith_Qround_Zdiv_Qdiv' 'hl/thm/int/int_add_'
0. 'coq/Coq_QArith_Qcanon_Qcpower_pos'#@#variant 'hl/thm/int/INT_POW_LE_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_le_lt_mono' 'hl/thm/arith/LET_ADD2_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_1_l'#@#variant 'hl/thm/int/INT_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_add' 'hl/thm/arith/ADD_SUB_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div2_nonneg'#@#variant 'hl/thm/Library/integer/INT_PRIME_NEG_'
0. 'coq/Coq_PArith_BinPos_Pos_mul_1_l' 'hl/thm/int/INT_ADD_LID_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lor_m1_r'#@#variant 'hl/thm/realax/HREAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div2_nonneg'#@#variant 'hl/thm/calc_num/ARITH_44'
0. 'coq/Coq_NArith_BinNat_N_min_0_r' 'hl/thm/arith/MULT_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_even_0' 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_lt_mono_pos_r'#@#variant 'hl/thm/real/REAL_LT_DIV2_EQ_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_even_0' 'hl/thm/Multivariate/complexes/RE_II_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div_le_mono'#@#variant 'hl/thm/int/INT_LE_RMUL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_double'#@#variant 'hl/thm/Library/transc/LN_INV_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_nonneg_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LT_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_1_l' 'hl/thm/int/INT_ADD_LID_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_1_l'#@#variant 'hl/thm/realax/HREAL_ADD_LID_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rge_ge_eq' 'hl/thm/Library/prime/DIVIDES_ANTISYM_'
0. 'coq/Coq_Bool_Bool_orb_true_r' 'hl/thm/calc_int/REAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_0_r'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_0_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_min_le_compat_l' 'hl/thm/Library/prime/DIVIDES_MUL_L_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_succ_l' 'hl/thm/calc_int/REAL_MUL_LNEG_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_clearbit_spec_prime'#@#variant 'hl/thm/Complex/complexnumbers/complex_sub_'
0. 'coq/Coq_ZArith_Zlogarithm_log_sup_correct1'#@#variant 'hl/thm/Multivariate/complexes/REAL_CX_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_lt_mono_r' 'hl/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_power_norm' 'hl/thm/Library/floor/RATIONAL_POW_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_ge_cases' 'hl/thm/realarith/REAL_LTE_TOTAL_'
0. 'coq/Coq_Init_Peano_plus_O_n' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_setbit_spec_prime'#@#variant 'hl/thm/realax/real_div_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ldiff_land' 'hl/thm/Complex/complexnumbers/complex_sub_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_succ_r' 'hl/thm/real/REAL_NEG_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_le_compat_l' 'hl/thm/real/REAL_LT_LADD_IMP_'
0. 'coq/Coq_Numbers_Cyclic_DoubleCyclic_DoubleBase_lt_0_wB'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_POS_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_involutive' 'hl/thm/real/REAL_ABS_ABS_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_is_nonneg'#@#variant 'hl/thm/real/REAL_LE_POW2_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_min_glb_iff' 'hl/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_NArith_BinNat_N_le_sub_l' 'hl/thm/int/INT_MIN_MIN_/0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pos_pred_succ' 'hl/thm/Complex/complexnumbers/complex_tybij_raw_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_gt_cases' 'hl/thm/arith/LTE_CASES_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pred_succ' 'hl/thm/Multivariate/transcendentals/CCOS_CACS_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lor_0_l' 'hl/thm/arith/MULT_CLAUSES_2'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_pos_r'#@#variant 'hl/thm/real/REAL_LE_DIV2_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_null'#@#variant 'hl/thm/int/INT_SGN_EQ_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_LZERO_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_gt_cases' 'hl/thm/realarith/REAL_LTE_TOTAL_'
0. 'coq/Coq_Reals_AltSeries_PI_tg_pos'#@#variant 'hl/thm/real/REAL_LT_POW2_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_min_le_iff' 'hl/thm/real/REAL_MIN_LT_'
0. 'coq/__constr_Coq_Arith_Even_even_0_2' 'hl/thm/Multivariate/transcendentals/REAL_EXP_LT_1_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_oppc' 'hl/thm/int/int_sgn_th_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_1'#@#variant 'hl/thm/nums/ZERO_DEF_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_le_iff' 'hl/thm/int/INT_LT_MAX_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_pos_nonneg'#@#variant 'hl/thm/int/INT_LTE_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lcm_0_r' 'hl/thm/arith/MULT_0_'#@#variant
0. 'coq/Coq_ZArith_Znat_Z2N_inj_pos' 'hl/thm/int/int_of_num_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lcm_1_l'#@#variant 'hl/thm/arith/ADD_CLAUSES_0'#@#variant
0. 'coq/Coq_ZArith_Znat_Z_N_nat' 'hl/thm/int/int_of_num_th_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_lt_mono_r' 'hl/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_add_cancel_r' 'hl/thm/Library/prime/DIVIDES_ADD_REVR_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_pos'#@#variant 'hl/thm/Library/transc/LN_POS_LT_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_OT_le_lteq' 'hl/thm/arith/LE_LT_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_comm' 'hl/thm/realax/TREAL_MUL_SYM_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_pos_cancel_l'#@#variant 'hl/thm/int/INT_LT_MUL_EQ_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_lteq' 'hl/thm/arith/LE_LT_'
0. 'coq/Coq_Arith_Plus_plus_le_compat_r' 'hl/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Cyclic_DoubleCyclic_DoubleBase_wB_pos'#@#variant 'hl/thm/Library/floor/RATIONAL_NUM_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_even_2'#@#variant 'hl/thm/Multivariate/complexes/IM_II_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_max_le_iff' 'hl/thm/int/INT_LE_MAX_'
0. 'coq/Coq_ZArith_Zeven_Zodd_pred' 'hl/thm/Multivariate/transcendentals/LOG_POS_LT_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_alt_dichotomy' 'hl/thm/arith/LE_CASES_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_add_cancel_r' 'hl/thm/Library/poly/POLY_DIVIDES_SUB_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lxor_eq_0_iff' 'hl/thm/realarith/REAL_SUB_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_mul_r' 'hl/thm/Library/prime/EXP_EXP_'
0. 'coq/Coq_Arith_PeanoNat_Nat_nle_gt' 'hl/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_Arith_PeanoNat_Nat_nlt_ge' 'hl/thm/Library/analysis/real_le_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_succ_l' 'hl/thm/arith/ADD_CLAUSES_2'
0. 'coq/Coq_ZArith_BinInt_Z_divide_Zpos' 'hl/thm/int/INT_OF_NUM_LT_'
0. 'coq/Coq_ZArith_BinInt_Z_add_simpl_r' 'hl/thm/real/REAL_SUB_ADD_'
0. 'coq/Coq_ZArith_Zorder_Zlt_0_le_0_pred'#@#variant 'hl/thm/Library/pocklington/EVEN_PHI_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lor_0_l' 'hl/thm/realax/HREAL_ADD_LID_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_cancel_l' 'hl/thm/realax/HREAL_EQ_ADD_LCANCEL_'
0. 'coq/Coq_Reals_RIneq_Rgt_not_ge' 'hl/thm/arith/LTE_ANTISYM_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_id' 'hl/thm/Complex/complexnumbers/complex_tybij_raw_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lxor_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_r' 'hl/thm/Library/prime/DIVIDES_EXP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_nonneg' 'hl/thm/int/INT_SGN_INEQS_3'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ldiff_m1_l'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_LZERO_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_lt_mono_pos_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LT_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_even_2'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_sgn' 'hl/thm/real/REAL_SGN_ABS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_max_distr' 'hl/thm/Library/transc/REAL_EXP_SUB_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_log2' 'hl/thm/Multivariate/transcendentals/CX_SIN_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_le_mono' 'hl/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_div2' 'hl/thm/Complex/complexnumbers/CX_NEG_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_pred_double_succ' 'hl/thm/nums/BIT1_DEF_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_ge_cases' 'hl/thm/realax/TREAL_LE_TOTAL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_shuffle3' 'hl/thm/real/REAL_MAX_ACI_2'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_succ_l' 'hl/thm/Multivariate/transcendentals/REAL_INV_RPOW_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div2_div'#@#variant 'hl/thm/arith/ADD1_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_greatest' 'hl/thm/Library/prime/DIVIDES_ADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_l' 'hl/thm/arith/MOD_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_le_compat_l' 'hl/thm/int/INT_LE_LADD_IMP_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_glb_lt_iff' 'hl/thm/int/INT_LT_MIN_'
0. 'coq/Coq_NArith_BinNat_N_sqrt_le_mono' 'hl/thm/Library/transc/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_pred' 'hl/thm/Multivariate/transcendentals/REAL_EXP_NEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lnot_0_l' 'hl/thm/realarith/REAL_POLY_NEG_CLAUSES_0'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_0_r' 'hl/thm/int/INT_MUL_RZERO_'#@#variant
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_bounded/0'#@#variant 'hl/thm/int/INT_POS_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_cos_neg' 'hl/thm/Multivariate/transcendentals/COS_NEG_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_add_lt_sub_r' 'hl/thm/Library/analysis/SUB_LEFT_GREATER_EQ_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_stepr' 'hl/thm/realarith/REAL_LTE_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_lt_mono_r' 'hl/thm/int/INT_LT_RADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_add_cancel_r' 'hl/thm/Library/poly/POLY_DIVIDES_SUB_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_square_nonneg'#@#variant 'hl/thm/realarith/REAL_LE_SQUARE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_lub_iff' 'hl/thm/int/INT_MAX_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_pos'#@#variant 'hl/thm/Library/transc/LN_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_sgn' 'hl/thm/int/INT_SGN_ABS_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_lub_lt_iff' 'hl/thm/real/REAL_MAX_LT_'
0. 'coq/Coq_Reals_R_sqrt_sqrt_le_1_alt' 'hl/thm/Library/transc/ATN_MONO_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_pow2'#@#variant 'hl/thm/Library/transc/EXP_LN_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_divide_sub_r' 'hl/thm/Library/integer/INT_DIVIDES_SUB_'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_double'#@#variant 'hl/thm/int/int_sgn_th_'
0. 'coq/Coq_Reals_R_sqrt_sqrt_positivity'#@#variant 'hl/thm/Library/transc/SQRT_POS_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_1_l'#@#variant 'hl/thm/realax/REAL_ADD_LID_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_log2_pow2'#@#variant 'hl/thm/Multivariate/transcendentals/EXP_LOG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_max_l' 'hl/thm/arith/LE_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_1_l'#@#variant 'hl/thm/int/INT_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_le_mono_r_iff'#@#variant 'hl/thm/real/REAL_LE_LMUL_EQ_'#@#variant
0. 'coq/Coq_ZArith_Zpow_facts_Zpower_pos_1_r' 'hl/thm/Complex/complexnumbers/COMPLEX_POW_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_lt_le_mono' 'hl/thm/arith/LTE_ADD2_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_succ_l' 'hl/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_opp_r' 'hl/thm/realax/real_sub_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_1_l' 'hl/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_le_mono' 'hl/thm/Library/floor/FLOOR_MONO_'
0. 'coq/Coq_Bool_Bool_negb_andb' 'hl/thm/Multivariate/transcendentals/REAL_EXP_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftl_succ_r' 'hl/thm/Multivariate/transcendentals/RPOW_NEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_le_mono_r_iff'#@#variant 'hl/thm/Library/analysis/REAL_LE_LMUL_LOCAL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_cancel_l' 'hl/thm/int/INT_EQ_ADD_LCANCEL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_2_r'#@#variant 'hl/thm/arith/EXP_2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_glb_iff' 'hl/thm/int/INT_LT_MIN_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_sub_le_add_r' 'hl/thm/real/REAL_LT_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_pos' 'hl/thm/int/INT_SGN_INEQS_2'#@#variant
0. 'coq/Coq_Arith_Compare_dec_not_eq' 'hl/thm/int/INT_LT_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_even_opp' 'hl/thm/Multivariate/complexes/RE_CNJ_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_le_succ_r' 'hl/thm/Library/analysis/LESS_SUC_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_double' 'hl/thm/int/int_sgn_th_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_lt_mono_r' 'hl/thm/arith/LE_ADD_RCANCEL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_opp_r' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_nge' 'hl/thm/Library/analysis/real_le_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_0_l' 'hl/thm/int/INT_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_lt_mono_pos_r'#@#variant 'hl/thm/real/REAL_LE_DIV2_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_sub_lt_add_r' 'hl/thm/real/REAL_LT_ADD_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_id' 'hl/thm/real/REAL_MIN_ACI_3'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_0_r' 'hl/thm/arith/MULT_0_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_lt_mono_l' 'hl/thm/realax/HREAL_LE_ADD_LCANCEL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_refl' 'hl/thm/int/INT_LE_REFL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_gt_cases' 'hl/thm/int/INT_LET_TOTAL_'
0. 'coq/Coq_QArith_Qreduction_Qred_opp' 'hl/thm/Library/transc/TAN_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_succ_l' 'hl/thm/arith/LE_SUC_LT_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sub_0_le' 'hl/thm/arith/SUB_EQ_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_inj_wd' 'hl/thm/real/REAL_EQ_INV2_'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_lt_mono_r_iff'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LE_EQ_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_pos_cancel_l'#@#variant 'hl/thm/Library/floor/INTEGER_SUB_EQ_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_ldiff_diag' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_REFL_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sub_le_mono_r' 'hl/thm/arith/EXP_MONO_LE_IMP_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_gcd_divide_r' 'hl/thm/Library/prime/INDEX_TRIVIAL_BOUND_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_succ_diag_r' 'hl/thm/arith/LT_POW2_REFL_'#@#variant
0. 'coq/Coq_Arith_Le_le_n_S' 'hl/thm/Library/transc/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_ngt' 'hl/thm/Library/analysis/real_le_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_succ_l' 'hl/thm/Multivariate/transcendentals/RPOW_INV_'
0. 'coq/Coq_NArith_BinNat_N_divide_refl' 'hl/thm/arith/LE_REFL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_id' 'hl/thm/real/REAL_MIN_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_lor' 'hl/thm/Library/transc/REAL_EXP_SUB_'
0. 'coq/Coq_ZArith_BinInt_Z_le_add_le_sub_r' 'hl/thm/int/INT_LT_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_1_r' 'hl/thm/calc_int/REAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_lt_mono_l' 'hl/thm/realax/HREAL_LE_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_lt_mono_r_iff'#@#variant 'hl/thm/Library/analysis/REAL_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_clearbit_spec_prime'#@#variant 'hl/thm/real/REAL_SUB_RNEG_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_le_compat_l' 'hl/thm/Library/prime/DIVIDES_MUL_L_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mod_mod' 'hl/thm/arith/MOD_MOD_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_lt_iff' 'hl/thm/real/REAL_MIN_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_eq_0' 'hl/thm/realarith/REAL_ENTIRE_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_even_sub' 'hl/thm/real/REAL_OF_NUM_SUB_'
0. 'coq/Coq_Reals_RIneq_Rmult_lt_reg_l'#@#variant 'hl/thm/real/REAL_LT_LCANCEL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_le_mono_r_iff'#@#variant 'hl/thm/Library/analysis/REAL_LE_LMUL_LOCAL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sgn_nonpos' 'hl/thm/real/REAL_SGN_INEQS_7'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_gt' 'hl/thm/realax/REAL_OF_NUM_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_le_lin'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_LT_X_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lt_1_mul_pos'#@#variant 'hl/thm/int/INT_LTE_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_0_r' 'hl/thm/int/INT_MUL_RZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_land_diag' 'hl/thm/int/INT_MIN_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_inj_wd' 'hl/thm/Multivariate/transcendentals/ATN_INJ_'
0. 'coq/Coq_ZArith_Zorder_Zlt_not_le' 'hl/thm/int/INT_LTE_ANTISYM_'
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_triang' 'hl/thm/int/INT_ABS_TRIANGLE_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_1_l' 'hl/thm/arith/MULT_CLAUSES_2'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_le_compat_l' 'hl/thm/real/REAL_LT_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_le_compat_r' 'hl/thm/Library/prime/LESS_MONO_ADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_le_lin' 'hl/thm/Library/floor/FLOOR_/1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_le_mono_l' 'hl/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_2' 'hl/thm/Multivariate/transcendentals/ASN_0_'
0. 'coq/Coq_PArith_Pnat_SuccNat2Pos_inj_succ' 'hl/thm/Complex/complexnumbers/CX_INV_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_1_l' 'hl/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_inj_wd' 'hl/thm/Multivariate/complexes/CNJ_INJ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_pos'#@#variant 'hl/thm/int/INT_SGN_INEQS_1'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_inj_wd' 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_NEG2_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_ge_cases' 'hl/thm/arith/LET_CASES_'
0. 'coq/Coq_Reals_RIneq_Rplus_opp_r_uniq' 'hl/thm/real/REAL_MUL_RINV_UNIQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_factor_l' 'hl/thm/realax/HREAL_LE_ADD_'
0. 'coq/Coq_NArith_BinNat_N_sqrt_le_mono' 'hl/thm/arith/FACT_MONO_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_min_r' 'hl/thm/int/INT_MIN_MIN_/1'
0. 'coq/Coq_NArith_BinNat_N_div2_double' 'hl/thm/Library/transc/ATN_/2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_null_iff' 'hl/thm/calc_num/ARITH_52'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_le_lin' 'hl/thm/Library/floor/FLOOR_/1'
0. 'coq/Coq_QArith_Qminmax_Q_min_le_compat_l' 'hl/thm/realax/TREAL_LE_LADD_IMP_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_shuffle3' 'hl/thm/int/INT_MIN_ACI_2'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_divide_mul_r' 'hl/thm/Library/prime/DIVIDES_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_ldiff_ldiff_l' 'hl/thm/arith/EXP_MULT_'
0. 'coq/Coq_Reals_Rtrigo1_COS_bound/1' 'hl/thm/Multivariate/transcendentals/COS_BOUNDS_/1'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_pred_double_spec' 'hl/thm/calc_num/ARITH_9'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sub_add_distr' 'hl/thm/Library/prime/EXP_EXP_'
0. 'coq/Coq_Reals_RIneq_Rnot_lt_le' 'hl/thm/int/INT_LTE_TOTAL_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_incr' 'hl/thm/Multivariate/complexes/CX_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sub_diag' 'hl/thm/int/INT_SUB_REFL_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_0_l' 'hl/thm/arith/ADD_CLAUSES_0'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_2' 'hl/thm/Library/transc/ATN_0_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_sub_lt_add_r' 'hl/thm/real/REAL_LE_SUB_RADD_'
0. 'coq/Coq_NArith_BinNat_N_divide_refl' 'hl/thm/realax/REAL_LE_REFL_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_phi' 'hl/thm/Complex/complexnumbers/complex_tybij_raw_0'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_opp' 'hl/thm/Complex/complexnumbers/CX_NEG_'
0. 'coq/Coq_NArith_BinNat_N_add_pos_nonneg'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_LE_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_double'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_INV_'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_0' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant
0. 'coq/Coq_Reals_Rminmax_Rmin_l' 'hl/thm/arith/MOD_LT_'
0. 'coq/Coq_fourier_Fourier_util_Rfourier_eqLR_to_le' 'hl/thm/arith/EQ_IMP_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_divide_mono_r' 'hl/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_sub' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_ADD_'
0. 'coq/Coq_ZArith_Zpow_facts_Zpower_gt_1'#@#variant 'hl/thm/int/INT_LTE_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lxor_0_l' 'hl/thm/realax/REAL_MUL_LID_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_nonneg'#@#variant 'hl/thm/Library/analysis/REAL_LT_MUL2_ALT_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_cos_gt_0'#@#variant 'hl/thm/Library/transc/COS_POS_PI_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_le_mono_pos_r'#@#variant 'hl/thm/real/REAL_LE_RMUL_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_succ_r' 'hl/thm/Multivariate/transcendentals/RPOW_NEG_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_le_compat_l' 'hl/thm/realax/NADD_LE_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_div_same'#@#variant 'hl/thm/real/REAL_DIV_REFL_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_ge' 'hl/thm/realax/REAL_OF_NUM_LE_'
0. 'coq/Coq_Reals_Raxioms_Rmult_lt_compat_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LE_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_le_mono' 'hl/thm/realax/NADD_INV_WELLDEF_'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_div2' 'hl/thm/Multivariate/transcendentals/CX_COS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lor_0_l' 'hl/thm/int/INT_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_le_mono_r_iff'#@#variant 'hl/thm/real/REAL_LE_LMUL_EQ_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_divide_lcm_r' 'hl/thm/real/REAL_MAX_MAX_/1'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_pos_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LT_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_1_r'#@#variant 'hl/thm/arith/ADD1_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_r' 'hl/thm/Library/prime/DIVIDES_EXP_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_Zpos' 'hl/thm/real/REAL_OF_NUM_LT_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_nonneg_cancel_l'#@#variant 'hl/thm/real/REAL_LE_MUL_EQ_0'#@#variant
0. 'coq/Coq_ZArith_Zdiv_Z_div_mult_full' 'hl/thm/real/REAL_DIV_RMUL_'#@#variant
0. 'coq/Coq_setoid_ring_RealField_Rdef_pow_add' 'hl/thm/int/INT_POW_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_nonpos_nonneg'#@#variant 'hl/thm/int/INT_NEG_LT0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ge_le_iff' 'hl/thm/realax/real_ge_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_le_compat_r' 'hl/thm/Library/prime/DIVIDES_EXP_'
0. 'coq/Coq_ZArith_BinInt_Z_div2_nonneg'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_POS_LE_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_le_mono' 'hl/thm/arith/FACT_MONO_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_shiftr_lxor' 'hl/thm/realax/NADD_RDISTRIB_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_lnot_diag'#@#variant 'hl/thm/int/INT_ADD_RINV_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sgn_sgn' 'hl/thm/int/INT_ABS_ABS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_le_compat_r' 'hl/thm/realax/HREAL_LE_MUL_RCANCEL_IMP_'
0. 'coq/Coq_NArith_BinNat_N_gcd_1_r'#@#variant 'hl/thm/Library/pocklington/ORDER_1_'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_lt' 'hl/thm/real/REAL_OF_NUM_GE_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_log2' 'hl/thm/int/int_abs_th_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_lt_iff' 'hl/thm/int/INT_LT_MAX_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_odd_1'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant
0. 'coq/Coq_QArith_Qround_Qceiling_resp_le' 'hl/thm/Library/calc_real/REAL_MONO_POW2_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_min_le_compat_r' 'hl/thm/realax/NADD_LE_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_rem_0_l' 'hl/thm/arith/MOD_0_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_sqrt' 'hl/thm/Complex/complexnumbers/CX_NEG_'
0. 'coq/Coq_Reals_Rminmax_R_min_le_compat_r' 'hl/thm/realax/HREAL_LE_MUL_RCANCEL_IMP_'
0. 'coq/Coq_Reals_RIneq_Rplus_le_compat_l' 'hl/thm/realax/NADD_MUL_WELLDEF_LEMMA_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_opp_r' 'hl/thm/Complex/complexnumbers/complex_sub_'
0. 'coq/Coq_ZArith_BinInt_Z_rem_0_l' 'hl/thm/arith/DIV_0_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_opp_min_distr' 'hl/thm/Complex/complex_transc/CEXP_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_trichotomy' 'hl/thm/Library/analysis/LESS_CASES_IMP_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_sub' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_ADD_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_lt' 'hl/thm/int/INT_OF_NUM_GT_'
0. 'coq/Coq_NArith_BinNat_N_neq_0_succ' 'hl/thm/arith/FACT_NZ_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_lt_total' 'hl/thm/arith/LT_CASES_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_le_mono_nonneg_l'#@#variant 'hl/thm/int/INT_LE_LMUL_'#@#variant
0. 'coq/Coq_Numbers_Cyclic_ZModulo_ZModulo_Ptail_pos'#@#variant 'hl/thm/int/INT_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_le_mono' 'hl/thm/Multivariate/transcendentals/ATN_MONO_LT_'
0. 'coq/Coq_QArith_Qminmax_Q_min_glb_lt_iff' 'hl/thm/int/INT_LT_MIN_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_add_r' 'hl/thm/Library/prime/DIVIDES_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_succ_pred_double' 'hl/thm/calc_num/ARITH_4'
0. 'coq/Coq_QArith_QArith_base_Qinv_le_0_compat'#@#variant 'hl/thm/real/REAL_LE_INV_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_le_compat_r' 'hl/thm/Library/integer/INT_DIVIDES_MUL_R_'
0. 'coq/Coq_ZArith_Zeven_Zodd_Sn' 'hl/thm/Library/pocklington/EVEN_PHI_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_refl' 'hl/thm/realax/TREAL_LE_REFL_'#@#variant
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_phi' 'hl/thm/int/NUM_OF_INT_OF_NUM_'
0. 'coq/Coq_Reals_Ratan_atan_right_inv' 'hl/thm/Multivariate/transcendentals/CSIN_CASN_'#@#variant
0. 'coq/Coq_Arith_Plus_plus_lt_compat_r' 'hl/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_rem_idemp_l' 'hl/thm/arith/MOD_EXP_MOD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ldiff_diag' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_1_l' 'hl/thm/arith/MULT_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_null'#@#variant 'hl/thm/real/REAL_SGN_EQ_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_1' 'hl/thm/Library/pratt/PHI_0_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_nlt_ge' 'hl/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_add_simpl_l_l' 'hl/thm/arith/SUB_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_gt_cases' 'hl/thm/realarith/REAL_LTE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lnot_ones' 'hl/thm/int/INT_ADD_LINV_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_square' 'hl/thm/int/int_neg_th_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_1' 'hl/thm/nums/BIT0_DEF_0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div_le_mono' 'hl/thm/arith/DIV_MONO_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_even_opp' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_NEG_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lor_0_l' 'hl/thm/realax/REAL_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_mod_idemp_l' 'hl/thm/arith/MOD_EXP_MOD_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_double_mul' 'hl/thm/Multivariate/transcendentals/REAL_INV_RPOW_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_succ_l' 'hl/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_le_iff' 'hl/thm/int/INT_MIN_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_add_simpl_r_r' 'hl/thm/arith/SUB_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_eq_1'#@#variant 'hl/thm/arith/ADD_EQ_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pred_succ' 'hl/thm/Multivariate/transcendentals/CSIN_CASN_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_nge' 'hl/thm/realarith/REAL_NOT_LT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_opp_r' 'hl/thm/realax/real_div_'
0. 'coq/Coq_Reals_RIneq_Rge_ge_eq' 'hl/thm/realax/REAL_LE_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_null_iff' 'hl/thm/int/INT_SGN_INEQS_9'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_le_compat_r' 'hl/thm/Library/prime/DIVIDES_EXP_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_lub_l' 'hl/thm/Library/integer/INT_DIVIDES_RMUL2_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_pos_spec' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_CX_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_le_compat_l' 'hl/thm/realax/NADD_LE_LMUL_'
0. 'coq/Coq_ZArith_BinInt_Z_max_le_compat_r' 'hl/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lcm_eq_0' 'hl/thm/int/INT_ENTIRE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_glb_lt_iff' 'hl/thm/real/REAL_LT_MIN_'
0. 'coq/Coq_Reals_RIneq_Rplus_gt_compat_l' 'hl/thm/int/INT_LE_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_gt_cases' 'hl/thm/realarith/REAL_LTE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_pow' 'hl/thm/Multivariate/transcendentals/REAL_INV_RPOW_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_lcm_r' 'hl/thm/arith/LE_ADDR_'
0. 'coq/Coq_PArith_BinPos_Pos_divide_mul_r' 'hl/thm/Library/integer/INT_DIVIDES_LMUL_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_le' 'hl/thm/real/REAL_OF_NUM_GE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_1_l'#@#variant 'hl/thm/int/INT_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_pos_r'#@#variant 'hl/thm/real/REAL_LE_DIV2_EQ_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_lt_mono'#@#variant 'hl/thm/Library/analysis/REAL_LT_MUL2_ALT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_min_r' 'hl/thm/real/REAL_MIN_MIN_/1'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_divide_mono_r' 'hl/thm/arith/EXP_MONO_LE_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_le_mono' 'hl/thm/realax/NADD_INV_WELLDEF_'
0. 'coq/Coq_ZArith_BinInt_Z_div2_nonneg'#@#variant 'hl/thm/Library/transc/ATN_POS_LE_'#@#variant
0. 'coq/Coq_MMaps_MMapPositive_PositiveMap_lt_rev_append' 'hl/thm/int/INT_LE_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_nonpos' 'hl/thm/real/REAL_SGN_INEQS_7'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_pred_succ' 'hl/thm/Multivariate/transcendentals/ATN_TAN_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_le_mono' 'hl/thm/arith/FACT_MONO_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lxor_0_l' 'hl/thm/realax/REAL_ADD_LID_'#@#variant
0. 'coq/Coq_Arith_Min_min_glb' 'hl/thm/Library/integer/INT_DIVIDES_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_le_lt_mono' 'hl/thm/int/INT_LET_ADD2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_lub_l' 'hl/thm/Library/prime/DIVIDES_RMUL2_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_shuffle3' 'hl/thm/real/REAL_MUL_AC_2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftl_1_l'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_LZERO_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_succ_l' 'hl/thm/int/INT_NEG_LMUL_'
0. 'coq/Coq_QArith_Qminmax_Q_max_le_compat_l' 'hl/thm/realax/REAL_LE_LADD_IMP_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_le' 'hl/thm/int/INT_OF_NUM_GT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lcm_diag' 'hl/thm/real/REAL_MAX_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_lt_mono_l' 'hl/thm/real/REAL_LE_LADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_pos' 'hl/thm/int/INT_SGN_INEQS_3'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_0_l' 'hl/thm/realax/REAL_ADD_LID_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_lor' 'hl/thm/Complex/complex_transc/CEXP_SUB_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_even_0' 'hl/thm/Multivariate/complexes/IM_II_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lnot_nonneg'#@#variant 'hl/thm/int/INT_NEG_GE0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_glb_iff' 'hl/thm/int/INT_LT_MIN_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lor_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_le_neq' 'hl/thm/Library/prime/LESS_LESS_CASES_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_odd_2'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_nle_gt' 'hl/thm/arith/NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_shuffle3' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_AC_2'
0. 'coq/Coq_Reals_RIneq_Ropp_involutive' 'hl/thm/Multivariate/complexes/COMPLEX_INV_INV_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_opp_min_distr' 'hl/thm/Complex/complex_transc/CEXP_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_xO_r' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RNEG_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_lt_lin'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_le_compat_r' 'hl/thm/Library/integer/INT_DIVIDES_MUL_R_'
0. 'coq/Coq_PArith_BinPos_Pos_le_max_r' 'hl/thm/int/INT_MAX_MAX_/1'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_2' 'hl/thm/Library/transc/TAN_0_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_le_mono_l' 'hl/thm/realax/NADD_LE_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_glb' 'hl/thm/Complex/cpoly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_ZArith_Zlogarithm_log_inf_correct/0'#@#variant 'hl/thm/Library/floor/RATIONAL_NUM_'
0. 'coq/Coq_NArith_BinNat_N_gcd_diag' 'hl/thm/int/INT_MIN_ACI_3'
0. 'coq/Coq_NArith_BinNat_N_lor_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_succ_diag_r' 'hl/thm/real/REAL_ABS_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_nonneg'#@#variant 'hl/thm/real/REAL_LT_MUL2_'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_0' 'hl/thm/Multivariate/complexes/RE_II_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lcm_0_r' 'hl/thm/Library/pocklington/ORDER_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_lub_iff' 'hl/thm/int/INT_MAX_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_lt_lin'#@#variant 'hl/thm/Library/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_divide_cancel_l' 'hl/thm/Library/integer/INT_DIVIDES_LMUL2_EQ_'#@#variant
0. 'coq/Coq_QArith_Qminmax_Q_max_lt_iff' 'hl/thm/real/REAL_LT_MAX_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_glb_lt_iff' 'hl/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lcm_divide_iff' 'hl/thm/real/REAL_MAX_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_pred_pos'#@#variant 'hl/thm/Library/transc/EXP_LN_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Zmult_0_r_reverse' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RZERO_'#@#variant
0. 'coq/__constr_Coq_Arith_Even_even_0_2' 'hl/thm/Library/pocklington/PHI_LOWERBOUND_2_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qnot_le_lt' 'hl/thm/realarith/REAL_LTE_TOTAL_'
0. 'coq/Coq_Bool_Bool_orb_true_r' 'hl/thm/arith/MULT_0_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_divide_refl' 'hl/thm/Multivariate/misc/GE_REFL_'
0. 'coq/Coq_Init_Peano_plus_n_Sm' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RNEG_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_ge_cases' 'hl/thm/int/INT_LTE_TOTAL_'
0. 'coq/Coq_Reals_RIneq_Rlt_or_le' 'hl/thm/int/INT_LTE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_le_mono_l' 'hl/thm/realax/HREAL_LE_MUL_RCANCEL_IMP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_even_1'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zplus_lt_compat_l' 'hl/thm/Library/integer/INT_DIVIDES_MUL_L_'
0. 'coq/Coq_NArith_Ndist_ni_min_inf_l' 'hl/thm/arith/ADD_CLAUSES_0'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_le_trans' 'hl/thm/int/INT_LTE_TRANS_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_0_l' 'hl/thm/arith/LE_0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_nonneg' 'hl/thm/Multivariate/transcendentals/ATN_BOUNDS_/0'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_ge_le_iff' 'hl/thm/realax/real_ge_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_neq' 'hl/thm/arith/LT_LE_'
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_1_l' 'hl/thm/arith/LE_0_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_neg_xO'#@#variant 'hl/thm/Complex/complexnumbers/CX_INV_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_neg_iff'#@#variant 'hl/thm/real/REAL_SGN_EQ_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_0_sub'#@#variant 'hl/thm/int/INT_SUB_LE_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_le_compat_r' 'hl/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_glb_iff' 'hl/thm/int/INT_LT_MIN_'
0. 'coq/Coq_Arith_Div2_even_odd_double/0' 'hl/thm/Multivariate/transcendentals/REAL_EXP_LOG_'#@#variant
0. 'coq/Coq_Reals_Rpower_sinh_arcsinh' 'hl/thm/Multivariate/transcendentals/ATN_TAN_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_l' 'hl/thm/realax/TREAL_LE_LADD_IMP_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_pos_cancel_r'#@#variant 'hl/thm/real/REAL_LT_MUL_EQ_1'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lor_0_l' 'hl/thm/int/INT_ADD_LID_'#@#variant
0. 'coq/Coq_ZArith_Znat_Z2Nat_inj_pred' 'hl/thm/Complex/complex_transc/CX_CCOS_'
0. 'coq/Coq_NArith_Ndist_ni_le_refl' 'hl/thm/Library/prime/DIVIDES_REFL_'
0. 'coq/Coq_QArith_QArith_base_Qinv_le_0_compat'#@#variant 'hl/thm/Multivariate/vectors/SQRT_POS_LT_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_log2_nonneg' 'hl/thm/Multivariate/transcendentals/ATN_BOUNDS_/0'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_pos'#@#variant 'hl/thm/Library/pocklington/EVEN_PHI_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_nge' 'hl/thm/Library/analysis/real_le_'
0. 'coq/Coq_Reals_Rtopology_open_set_P3' 'hl/thm/Multivariate/realanalysis/REAL_LEBESGUE_MEASURABLE_DIFF_'#@#variant
0. 'coq/Coq_Reals_Rtopology_open_set_P2' 'hl/thm/Multivariate/realanalysis/REAL_LEBESGUE_MEASURABLE_DIFF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_lt_mono_r_iff'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LE_EQ_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_pred_l' 'hl/thm/Multivariate/transcendentals/REAL_ABS_RPOW_'
0. 'coq/Coq_NArith_BinNat_N_mul_eq_0' 'hl/thm/arith/MULT_EQ_0_'#@#variant
0. 'coq/Coq_NArith_Ndist_ni_le_refl' 'hl/thm/Library/integer/INT_DIVIDES_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_pos'#@#variant 'hl/thm/Multivariate/transcendentals/REAL_EXP_LT_1_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_Ropp' 'hl/thm/Multivariate/vectors/SQRT_WORKS_GEN_/0'
0. 'coq/Coq_ZArith_BinInt_Z_add_opp_diag_l' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LINV_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_nonneg_r'#@#variant 'hl/thm/Library/analysis/REAL_LE_RMUL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_0_l' 'hl/thm/Library/prime/DIVIDES_1_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_add_sub' 'hl/thm/real/REAL_SUB_ADD_'
0. 'coq/Coq_NArith_BinNat_N_mul_pos_cancel_r'#@#variant 'hl/thm/Library/floor/INTEGER_SUB_EQ_1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_0_sub'#@#variant 'hl/thm/realarith/REAL_SUB_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_lt_mono_r'#@#variant 'hl/thm/int/INT_LE_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_le_mono_l' 'hl/thm/arith/LE_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_0_l' 'hl/thm/realax/NADD_LE_0_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_sub_add' 'hl/thm/arith/SUB_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_cancel_l' 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_ADD_LCANCEL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_le_mono_l' 'hl/thm/arith/LT_ADD_LCANCEL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_lt_mono_r' 'hl/thm/arith/LE_ADD_RCANCEL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_nonneg_cancel_l'#@#variant 'hl/thm/int/INT_LE_MUL_EQ_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_1_l'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_le_ngt' 'hl/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_land_assoc' 'hl/thm/realax/TREAL_MUL_ASSOC_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_inj_wd' 'hl/thm/Multivariate/transcendentals/ATN_INJ_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_succ_not_1' 'hl/thm/Library/transc/REAL_EXP_NZ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_succ_diag_r' 'hl/thm/Library/analysis/LESS_SUC_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_gcd_greatest' 'hl/thm/Library/prime/DIVIDES_ADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_lt_mono_r' 'hl/thm/realax/HREAL_LE_ADD_RCANCEL_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_of_Q' 'hl/thm/int/NUM_OF_INT_OF_NUM_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_sqrt' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_INV_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_lt_lin'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_LE_X_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_succ_diag_r' 'hl/thm/int/INT_ABS_LE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lcm_diag' 'hl/thm/real/REAL_MUL_2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_le_compat_r' 'hl/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_greatest' 'hl/thm/Complex/cpoly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_succ_diag_r' 'hl/thm/real/REAL_ABS_LE_'
0. 'coq/Coq_NArith_BinNat_N_pow_le_mono_r_iff'#@#variant 'hl/thm/Library/analysis/REAL_LE_LMUL_LOCAL_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_opp_min_distr' 'hl/thm/Complex/complex_transc/CEXP_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_ldiff' 'hl/thm/real/REAL_SUB_LNEG_'
0. 'coq/Coq_ZArith_BinInt_Z_divide_abs_r' 'hl/thm/Library/integer/INT_DIVIDES_RABS_'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_div2' 'hl/thm/Complex/complex_transc/CX_CEXP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lcm_divide_iff' 'hl/thm/real/REAL_MAX_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_lt_mono_pos_r'#@#variant 'hl/thm/int/INT_LT_RMUL_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_1_l'#@#variant 'hl/thm/realax/HREAL_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_le_mono_l' 'hl/thm/int/INT_LT_LADD_'
0. 'coq/Coq_QArith_QArith_base_Qplus_le_l' 'hl/thm/realax/HREAL_LE_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_pos'#@#variant 'hl/thm/Library/pratt/PHI_LOWERBOUND_2_'#@#variant
0. 'coq/Coq_Arith_Plus_lt_plus_trans' 'hl/thm/Library/integer/INT_DIVIDES_RMUL_'
0. 'coq/__constr_Coq_Init_Peano_le_0_1' 'hl/thm/Multivariate/misc/GE_REFL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_lt_mono_l' 'hl/thm/realax/NADD_LE_LADD_'
0. 'coq/Coq_NArith_BinNat_N_add_cancel_r' 'hl/thm/calc_int/REAL_EQ_ADD_RCANCEL_'
0. 'coq/Coq_Reals_Rpower_exp_ineq1'#@#variant 'hl/thm/Library/transc/REAL_EXP_LE_X_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_le_pred_l' 'hl/thm/Library/floor/FLOOR_/1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_le_compat_r' 'hl/thm/Library/prime/DIVIDES_MUL_R_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sub_le_mono_r' 'hl/thm/arith/EXP_MONO_LE_IMP_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_lt_mono_l' 'hl/thm/int/INT_LE_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_le_mono_l' 'hl/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pred_div2_up' 'hl/thm/Multivariate/transcendentals/CX_TAN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ge_le_iff' 'hl/thm/int/INT_GE_'
0. 'coq/Coq_ZArith_Zlogarithm_log_sup_correct1'#@#variant 'hl/thm/real/REAL_LT_POW2_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_pred_double_succ' 'hl/thm/nums/BIT1_DEF_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_le_incl' 'hl/thm/arith/LT_IMP_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_even_1'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_eq_0_iff' 'hl/thm/Multivariate/transcendentals/RPOW_EQ_0_'#@#variant
0. 'coq/Coq_Reals_Rfunctions_powerRZ_lt'#@#variant 'hl/thm/int/INT_POW_LT_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sgn_nonneg'#@#variant 'hl/thm/Library/transc/ATN_POS_LT_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_even_2'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant
0. 'coq/Coq_Reals_Rfunctions_Rpow_mult_distr' 'hl/thm/Multivariate/complexes/COMPLEX_POW_MUL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_neg_xO'#@#variant 'hl/thm/Multivariate/transcendentals/CX_COS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lxor_nilpotent' 'hl/thm/real/REAL_SUB_REFL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_log2_pos'#@#variant 'hl/thm/Library/pratt/PHI_LOWERBOUND_2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_pos'#@#variant 'hl/thm/calc_num/ARITH_44'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lcm_divide_iff' 'hl/thm/int/INT_MAX_LE_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_log2' 'hl/thm/int/int_neg_th_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_refl' 'hl/thm/realax/HREAL_LE_REFL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lor_eq_0_iff' 'hl/thm/arith/MULT_EQ_1_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_land_0_r' 'hl/thm/Library/prime/INDEX_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_lt_mono_r'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LT_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_refl' 'hl/thm/realax/HREAL_LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_mod' 'hl/thm/arith/MOD_ADD_MOD_'#@#variant
0. 'coq/Coq_Arith_Plus_le_plus_r' 'hl/thm/arith/LE_ADDR_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_inv_norm' 'hl/thm/real/REAL_LT_INV_'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_T_OMEGA10_stable' 'hl/thm/Library/multiplicative/MULTIPLICATIVE_TAU_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_0_l' 'hl/thm/realax/REAL_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_nonneg'#@#variant 'hl/thm/Library/analysis/REAL_LT_MUL2_ALT_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_nonneg_nonpos'#@#variant 'hl/thm/real/REAL_NEG_GT0_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_trichotomy' 'hl/thm/int/INT_LT_TOTAL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_odd_1'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_add_diag_r' 'hl/thm/realax/HREAL_LE_ADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_max_le_compat_l' 'hl/thm/realax/TREAL_LE_LADD_IMP_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftl_1_l'#@#variant 'hl/thm/int/INT_NEG_MINUS1_'#@#variant
0. 'coq/Coq_Init_Peano_mult_n_O' 'hl/thm/calc_int/REAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_Reals_Ratan_atan_opp' 'hl/thm/Multivariate/vectors/SQRT_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_1' 'hl/thm/Library/pocklington/PHI_0_'
0. 'coq/Coq_Arith_Gt_gt_Sn_n' 'hl/thm/Library/pratt/PHI_LIMIT_'
0. 'coq/Coq_Reals_Rtrigo_def_cos_sym' 'hl/thm/Library/transc/COS_ABS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_opp' 'hl/thm/Library/transc/COS_ABS_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_succ_diag_r' 'hl/thm/arith/LT_POW2_REFL_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pred_div2_up' 'hl/thm/Complex/complex_transc/CX_CSIN_'
0. 'coq/Coq_Bool_Bool_negb_orb' 'hl/thm/Multivariate/transcendentals/REAL_EXP_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_nonneg_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LT_'#@#variant
0. 'coq/Coq_ZArith_Zpow_facts_Zpower_pos_1_r' 'hl/thm/real/REAL_POW_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_pos'#@#variant 'hl/thm/Library/floor/RATIONAL_NEG_EQ_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_lt_mono_r' 'hl/thm/arith/LE_ADD_RCANCEL_'
0. 'coq/Coq_PArith_BinPos_Pos_min_le_compat_r' 'hl/thm/Library/integer/INT_DIVIDES_MUL_R_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_id' 'hl/thm/int/NUM_OF_INT_OF_NUM_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_le_compat_l' 'hl/thm/int/INT_LE_LADD_IMP_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_add_r' 'hl/thm/realax/HREAL_LE_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_lteq' 'hl/thm/realarith/REAL_LE_LT_'
0. 'coq/Coq_NArith_BinNat_N_gcd_1_r'#@#variant 'hl/thm/Library/prime/INDEX_0_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_min_lt_iff' 'hl/thm/real/REAL_MIN_LE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_eq_0_iff' 'hl/thm/Multivariate/transcendentals/RPOW_EQ_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_cancel_l' 'hl/thm/calc_int/REAL_EQ_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_1_l'#@#variant 'hl/thm/arith/MULT_CLAUSES_2'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_pos'#@#variant 'hl/thm/Library/integer/INT_PRIME_NEG_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftl_succ_r' 'hl/thm/arith/SUB_1'
0. 'coq/Coq_Reals_Rtrigo1_sin_plus' 'hl/thm/Multivariate/transcendentals/SIN_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftr_opp_r' 'hl/thm/realax/real_div_'
0. 'coq/Coq_NArith_BinNat_N_even_1'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lnot_0_l' 'hl/thm/int/INT_NEG_MINUS1_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lxor_comm' 'hl/thm/realax/NADD_ADD_SYM_'
0. 'coq/Coq_QArith_QArith_base_Zle_Qle' 'hl/thm/realax/TREAL_OF_NUM_LE_'#@#variant
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_pred' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_INV_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_le_compat_l' 'hl/thm/Library/integer/INT_DIVIDES_MUL_L_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_div_mul' 'hl/thm/Complex/complexnumbers/COMPLEX_DIV_RMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_even_1'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_max_lub_r' 'hl/thm/Library/prime/DIVIDES_LMUL2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_2' 'hl/thm/int/INT_NEG_0_'
0. 'coq/Coq_ZArith_Zorder_Zplus_gt_compat_r' 'hl/thm/realax/HREAL_LE_MUL_RCANCEL_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lxor_0_l' 'hl/thm/realax/HREAL_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_opp' 'hl/thm/real/REAL_INV_NEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_even_0' 'hl/thm/Multivariate/complexes/RE_II_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_1_l'#@#variant 'hl/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_xI_succ_xO' 'hl/thm/calc_num/ARITH_9'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_pos'#@#variant 'hl/thm/real/REAL_SGN_INEQS_1'#@#variant
0. 'coq/Coq_Reals_RIneq_Rgt_or_ge' 'hl/thm/realarith/REAL_LET_TOTAL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_add_lt_sub_r' 'hl/thm/int/INT_LT_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_lt_mono_l_iff' 'hl/thm/Library/integer/INT_DIVIDES_RMUL2_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_le_mono' 'hl/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_1_l' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_le_compat_l' 'hl/thm/realax/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_nge' 'hl/thm/arith/NOT_LE_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_add_r' 'hl/thm/arith/LE_ADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_succ_le' 'hl/thm/Library/floor/FLOOR_DOUBLE_/0'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_lt_le_trans' 'hl/thm/arith/LTE_TRANS_'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_succ' 'hl/thm/Multivariate/transcendentals/CX_TAN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_le_compat_r' 'hl/thm/Library/integer/INT_DIVIDES_MUL_R_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_le_compat_r' 'hl/thm/Library/analysis/LESS_MONO_ADD_'
0. 'coq/Coq_Reals_Ratan_ps_atan_opp' 'hl/thm/Complex/complexnumbers/CNJ_NEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sub_min_distr_l' 'hl/thm/arith/EXP_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_nonneg'#@#variant 'hl/thm/Multivariate/vectors/SQRT_LT_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_glb' 'hl/thm/Library/integer/INT_DIVIDES_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_add_r' 'hl/thm/realax/HREAL_LE_ADD_'
0. 'coq/Coq_Reals_AltSeries_PI_tg_pos'#@#variant 'hl/thm/Library/floor/INTEGER_CLOSED_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_nonneg_cancel_l'#@#variant 'hl/thm/real/REAL_LE_MUL_EQ_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_lt_mono_pos_r'#@#variant 'hl/thm/int/INT_LT_RMUL_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_eq_mul_0' 'hl/thm/real/REAL_DIV_EQ_0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_refl' 'hl/thm/Library/poly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_min_glb_lt' 'hl/thm/Complex/cpoly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_double'#@#variant 'hl/thm/Library/transc/LN_INV_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_log2' 'hl/thm/Multivariate/complexes/CX_INV_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_max_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_le_mono' 'hl/thm/Library/floor/FLOOR_MONO_'
0. 'coq/Coq_QArith_QArith_base_Qinv_lt_0_compat'#@#variant 'hl/thm/Multivariate/transcendentals/REAL_COS_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_pred_inj_wd' 'hl/thm/Multivariate/transcendentals/REAL_EXP_INJ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_1_l'#@#variant 'hl/thm/int/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lt_total' 'hl/thm/Library/prime/LESS_LESS_CASES_'
0. 'coq/Coq_ZArith_BinInt_Z_eq_opp_r' 'hl/thm/int/INT_NEG_EQ_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_1'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_gt_cases' 'hl/thm/realarith/REAL_LTE_TOTAL_'
0. 'coq/Coq_QArith_QArith_base_Qmult_lt_0_le_reg_r'#@#variant 'hl/thm/real/REAL_LE_RCANCEL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_le_mono_r' 'hl/thm/int/INT_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sub_succ' 'hl/thm/real/REAL_NEG_MUL2_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_succ_pred_double' 'hl/thm/calc_num/ARITH_9'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_refl' 'hl/thm/realax/NADD_LE_REFL_'
0. 'coq/__constr_Coq_Arith_Even_even_1_1' 'hl/thm/Library/transc/LN_POS_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_nonneg_cancel_r'#@#variant 'hl/thm/real/REAL_LE_MUL_EQ_1'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_refl' 'hl/thm/realax/NADD_LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_glb_lt' 'hl/thm/Library/prime/DIVIDES_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_setbit_spec_prime'#@#variant 'hl/thm/Complex/complexnumbers/complex_sub_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_add_le' 'hl/thm/int/INT_ABS_TRIANGLE_'
0. 'coq/Coq_Reals_RIneq_Rmult_ne/1' 'hl/thm/int/INT_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_shuffle3' 'hl/thm/int/INT_ADD_AC_2'
0. 'coq/Coq_NArith_BinNat_N_log2_lt_lin'#@#variant 'hl/thm/Library/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_wf_0' 'hl/thm/Library/analysis/DORDER_NGE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_nonpos' 'hl/thm/calc_num/ARITH_60'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_l' 'hl/thm/realax/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_total' 'hl/thm/Library/prime/LESS_LESS_CASES_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_xO'#@#variant 'hl/thm/Multivariate/complexes/CX_INV_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qplus_comm' 'hl/thm/realax/TREAL_MUL_SYM_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_shuffle3' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_AC_2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_pos'#@#variant 'hl/thm/calc_num/ARITH_44'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_ngt' 'hl/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_move_r' 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_SUB_RADD_'
0. 'coq/Coq_ZArith_BinInt_Z_eq_opp_l' 'hl/thm/int/INT_NEG_EQ_'
0. 'coq/Coq_Reals_R_sqrt_sqrt_lt_R0'#@#variant 'hl/thm/Library/transc/SQRT_POS_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_add_r' 'hl/thm/realax/NADD_LE_ADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lcm_1_l' 'hl/thm/realax/NADD_ADD_LID_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ge_le_iff' 'hl/thm/int/INT_GT_'
0. 'coq/Coq_NArith_BinNat_N_succ_0_discr' 'hl/thm/Multivariate/transcendentals/REAL_EXP_NZ_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_1_2' 'hl/thm/Multivariate/transcendentals/PI2_BOUNDS_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_succ_diag_r' 'hl/thm/int/INT_ABS_LE_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_lt_mono_l' 'hl/thm/int/INT_LE_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_nonpos' 'hl/thm/real/REAL_SGN_INEQS_5'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_le_compat_r' 'hl/thm/arith/EXP_MONO_LE_IMP_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_0_l' 'hl/thm/int/INT_MUL_LID_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_pos_neg'#@#variant 'hl/thm/int/INT_NEG_GT0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_land_0_r' 'hl/thm/Library/prime/INDEX_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_0_r' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RZERO_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_pos' 'hl/thm/real/REAL_SGN_INEQS_3'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lxor_lnot_lnot' 'hl/thm/int/INT_NEG_MUL2_'
0. 'coq/Coq_Reals_R_sqr_Rsqr_abs' 'hl/thm/real/REAL_SGN_INV_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_0_iff' 'hl/thm/Library/pocklington/PHI_EQ_0_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_le_mono_r' 'hl/thm/arith/LT_LMULT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_le_lin'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_LT_X_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_min_glb' 'hl/thm/Library/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_opp' 'hl/thm/int/INT_ABS_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_ldiff_diag' 'hl/thm/arith/SUB_REFL_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_min_glb' 'hl/thm/Library/integer/INT_DIVIDES_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_move_r' 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_pos_cancel_r'#@#variant 'hl/thm/Library/floor/INTEGER_SUB_EQ_1'
0. 'coq/Coq_NArith_BinNat_N_max_lub_lt_iff' 'hl/thm/int/INT_MAX_LE_'
0. 'coq/Coq_PArith_BinPos_Pos_add_cancel_l' 'hl/thm/realax/HREAL_EQ_ADD_LCANCEL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_pos'#@#variant 'hl/thm/Library/transc/ATN_POS_LT_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_lt_mono_r' 'hl/thm/int/INT_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_land_0_r' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RZERO_'#@#variant
0. 'coq/Coq_Arith_Gt_gt_asym' 'hl/thm/int/INT_LT_GT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_pos'#@#variant 'hl/thm/Library/pocklington/PHI_LOWERBOUND_2_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_eq_0' 'hl/thm/arith/MULT_EQ_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lor_0_l' 'hl/thm/int/INT_MUL_LID_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rgt_not_eq' 'hl/thm/real/REAL_LT_IMP_NE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_0_l' 'hl/thm/Library/integer/INT_DIVIDES_1_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sub_succ' 'hl/thm/arith/SUB_SUC_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_refl' 'hl/thm/Library/prime/DIVIDES_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_pos'#@#variant 'hl/thm/Library/integer/INT_PRIME_ABS_'
0. 'coq/Coq_Reals_Ranalysis4_sinh_lt' 'hl/thm/Multivariate/vectors/SQRT_MONO_LT_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_succ_min_distr' 'hl/thm/int/INT_ABS_TRIANGLE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_odd_opp' 'hl/thm/Multivariate/complexes/RE_CNJ_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_nonneg_nonpos'#@#variant 'hl/thm/int/INT_NEG_GE0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_mul_l' 'hl/thm/Library/prime/DIVIDES_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_trichotomy' 'hl/thm/Library/analysis/LESS_LESS_CASES_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lcm_eq_0' 'hl/thm/arith/MULT_EQ_0_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_abs_opp' 'hl/thm/Multivariate/vectors/REAL_SGN_SQRT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ldiff_m1_r'#@#variant 'hl/thm/Library/prime/INDEX_1_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_le_lin'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_LT_X_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_pred_le' 'hl/thm/Library/analysis/OR_LESS_'
0. 'coq/Coq_Reals_Rfunctions_RPow_abs' 'hl/thm/int/INT_ABS_POW_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_factor_r' 'hl/thm/int/INT_MAX_MAX_/1'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_le_mono_r_iff'#@#variant 'hl/thm/real/REAL_LE_LMUL_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_lt_mono_r_iff'#@#variant 'hl/thm/real/REAL_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_min_le_iff' 'hl/thm/int/INT_MIN_LE_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_cancel_l' 'hl/thm/realax/HREAL_EQ_ADD_LCANCEL_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_pred_l' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_LMUL_'
0. 'coq/Coq_ZArith_BinInt_Z_le_gt_cases' 'hl/thm/realarith/REAL_LTE_TOTAL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_nle_gt' 'hl/thm/int/INT_NOT_LE_'
0. 'coq/Coq_Arith_Mult_mult_lt_compat_l'#@#variant 'hl/thm/real/REAL_LT_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_div_lt_upper_bound' 'hl/thm/arith/LE_LDIV_'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_gt' 'hl/thm/real/REAL_OF_NUM_GE_'
0. 'coq/Coq_Reals_Ratan_tan_1_gt_1' 'hl/thm/realax/NADD_INV_0_'#@#variant
0. 'coq/Coq_MSets_MSetPositive_PositiveSet_E_bits_lt_antirefl' 'hl/thm/arith/LT_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_lub_lt_iff' 'hl/thm/int/INT_MAX_LE_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_iff' 'hl/thm/realax/HREAL_OF_NUM_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_diag' 'hl/thm/arith/MULT_2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_le_compat_r' 'hl/thm/realax/HREAL_LE_MUL_RCANCEL_IMP_'
0. 'coq/Coq_NArith_BinNat_N_log2_pos'#@#variant 'hl/thm/Library/pocklington/EVEN_PHI_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_div2' 'hl/thm/int/int_neg_th_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_2' 'hl/thm/Library/transc/SQRT_0_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_0_discr' 'hl/thm/arith/FACT_NZ_'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_gt' 'hl/thm/int/INT_OF_NUM_GT_'
0. 'coq/Coq_ZArith_BinInt_Z_div2_nonneg'#@#variant 'hl/thm/real/REAL_LT_INV_EQ_'#@#variant
0. 'coq/Coq_ZArith_Zeven_Zeven_pred' 'hl/thm/Library/transc/REAL_EXP_LT_1_'#@#variant
0. 'coq/Coq_ZArith_Zquot_Zquot_opp_r' 'hl/thm/arith/ADD_SUC_'
0. 'coq/Coq_Reals_Rminmax_R_max_le_compat_r' 'hl/thm/realax/HREAL_LE_MUL_RCANCEL_IMP_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_mod' 'hl/thm/arith/MOD_ADD_MOD_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_le_mono_r' 'hl/thm/int/INT_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_le_mono' 'hl/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_ZArith_Zdiv_Zmod_1_r'#@#variant 'hl/thm/arith/EXP_0'#@#variant
0. 'coq/Coq_QArith_Qminmax_Q_max_le_iff' 'hl/thm/real/REAL_LE_MAX_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_involutive' 'hl/thm/Complex/complexnumbers/COMPLEX_INV_INV_'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_pow2'#@#variant 'hl/thm/Library/transc/EXP_LN_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_glb' 'hl/thm/Library/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Bool_Bool_negb_involutive_reverse' 'hl/thm/Multivariate/complexes/CNJ_CNJ_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_nle_gt' 'hl/thm/realax/real_lt_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lcm_1_l'#@#variant 'hl/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_0_l' 'hl/thm/arith/MULT_CLAUSES_2'#@#variant
0. 'coq/Coq_Reals_RIneq_Ropp_mult_distr_l' 'hl/thm/Multivariate/transcendentals/REAL_ABS_RPOW_'
0. 'coq/Coq_NArith_BinNat_N_log2_shiftr' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_neg_pos'#@#variant 'hl/thm/int/INT_NEG_LT0_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_le_ngt' 'hl/thm/arith/NOT_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_inj_wd' 'hl/thm/calc_num/ARITH_54'
0. 'coq/Coq_ZArith_BinInt_Z_div_pos'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_LE_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_shuffle3' 'hl/thm/arith/ADD_AC_2'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_pos'#@#variant 'hl/thm/real/REAL_LT_INV_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sub_succ_r' 'hl/thm/Multivariate/transcendentals/RPOW_NEG_'
0. 'coq/Coq_QArith_QArith_base_Qlt_le_weak' 'hl/thm/realax/NADD_EQ_IMP_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_inj_wd' 'hl/thm/int/INT_EQ_NEG2_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_odd_sub' 'hl/thm/real/REAL_OF_NUM_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_inj_wd' 'hl/thm/real/REAL_EQ_INV2_'
0. 'coq/Coq_Arith_Gt_gt_n_S' 'hl/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_le_mono_l' 'hl/thm/realax/NADD_LE_RMUL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_le_mono_l' 'hl/thm/realax/HREAL_LE_ADD_LCANCEL_'
0. 'coq/Coq_Bool_Bool_xorb_false_l' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant
0. 'coq/Coq_ZArith_Zeven_Zeven_pred' 'hl/thm/Library/pocklington/PHI_LOWERBOUND_2_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_pos'#@#variant 'hl/thm/Library/transc/REAL_EXP_LT_1_'#@#variant
0. 'coq/Coq_Reals_R_sqr_Rsqr_neg_minus' 'hl/thm/real/REAL_ABS_SUB_'
0. 'coq/Coq_ZArith_BinInt_Z_add_le_mono_l' 'hl/thm/arith/LE_ADD_LCANCEL_'
0. 'coq/Coq_ZArith_BinInt_Z_land_0_r' 'hl/thm/int/INT_MUL_RZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_lt_iff' 'hl/thm/real/REAL_LE_MAX_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_incr_twice_plus_one' 'hl/thm/Multivariate/transcendentals/REAL_EXP_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_lcm_l' 'hl/thm/int/INT_MAX_MAX_/0'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_0_r' 'hl/thm/Library/integer/INT_DIVIDES_0_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_norm_pos' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_NEG_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_reg_l' 'hl/thm/realax/HREAL_ADD_LCANCEL_'
0. 'coq/Coq_ZArith_Zorder_Zle_0_pos'#@#variant 'hl/thm/real/REAL_LE_POW2_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lt_le_incl' 'hl/thm/arith/LT_IMP_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_lt_le_mono' 'hl/thm/arith/LTE_ADD2_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_ge_le_iff' 'hl/thm/int/INT_GT_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_is_pos'#@#variant 'hl/thm/Multivariate/complexes/REAL_CX_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_lt_mono_r' 'hl/thm/int/INT_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_le_compat_l' 'hl/thm/realax/NADD_LE_LMUL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_1_l'#@#variant 'hl/thm/int/INT_NEG_MINUS1_'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_lt' 'hl/thm/int/INT_OF_NUM_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lxor_m1_l'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_LZERO_'#@#variant
0. 'coq/Coq_Init_Datatypes_CompOpp_iff' 'hl/thm/int/INT_NEG_EQ_'
0. 'coq/Coq_ZArith_BinInt_Z_pred_inj_wd' 'hl/thm/Complex/complexnumbers/CNJ_INJ_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_add_assoc' 'hl/thm/realax/TREAL_ADD_ASSOC_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_cancel_r' 'hl/thm/realax/HREAL_EQ_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_factor_l' 'hl/thm/realax/NADD_LE_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_lxor_l' 'hl/thm/arith/ADD_CLAUSES_2'
0. 'coq/Coq_QArith_Qminmax_Q_min_assoc' 'hl/thm/realax/TREAL_MUL_ASSOC_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_abs' 'hl/thm/real/REAL_SGN_'
0. 'coq/Coq_ZArith_BinInt_Z_abs_lt' 'hl/thm/int/INT_BOUNDS_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_nonneg'#@#variant 'hl/thm/Library/analysis/REAL_LE_MUL2V_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_gt_lt_iff' 'hl/thm/int/INT_GT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_sub_le_add_r' 'hl/thm/Library/analysis/SUB_LEFT_GREATER_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_ones_equiv'#@#variant 'hl/thm/calc_num/ARITH_9'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_neg'#@#variant 'hl/thm/int/INT_NEG_LE0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_refl' 'hl/thm/realax/NADD_LE_REFL_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_ge' 'hl/thm/int/INT_OF_NUM_GT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_odd_2'#@#variant 'hl/thm/nums/ZERO_DEF_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_rem_opp_opp' 'hl/thm/Library/analysis/ABS_DIV_'#@#variant
0. 'coq/Coq_Reals_ROrderedType_ROrder_not_ge_lt' 'hl/thm/int/INT_LTE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_asymm' 'hl/thm/arith/LT_ANTISYM_'
0. 'coq/Coq_ZArith_BinInt_Z_max_lub_lt_iff' 'hl/thm/int/INT_MAX_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_succ_r_prime' 'hl/thm/arith/MULT_SUC_'
0. 'coq/Coq_QArith_QArith_base_Qplus_lt_le_compat' 'hl/thm/real/REAL_LTE_ADD2_'
0. 'coq/Coq_ZArith_BinInt_Z_add_0_l' 'hl/thm/int/INT_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_pos_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LE_EQ_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_iff' 'hl/thm/Multivariate/vectors/DROP_EQ_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_1_l' 'hl/thm/Library/integer/INT_DIVIDES_1_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_1_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_succ_l' 'hl/thm/Multivariate/transcendentals/REAL_ABS_RPOW_'
0. 'coq/Coq_QArith_Qcanon_Qcmult_inv_r'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RINV_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_sin_gt_0'#@#variant 'hl/thm/Multivariate/transcendentals/COS_POS_PI2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sub_le_mono_r' 'hl/thm/arith/EXP_MONO_LE_IMP_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_le_mono' 'hl/thm/Library/transc/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_trichotomy' 'hl/thm/Library/prime/LESS_LESS_CASES_'
0. 'coq/Coq_Reals_RIneq_Rmult_le_0_lt_compat'#@#variant 'hl/thm/real/REAL_LE_MUL2_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lcm_1_l'#@#variant 'hl/thm/int/INT_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_sub_le_add_r' 'hl/thm/real/REAL_LE_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_le_mono_l' 'hl/thm/Library/prime/LESS_MONO_ADD_'
0. 'coq/Coq_Reals_Rfunctions_pow_lt'#@#variant 'hl/thm/int/INT_POW_LE_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mod_0_l' 'hl/thm/arith/DIV_0_'#@#variant
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_double'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_INV_'
0. 'coq/Coq_NArith_BinNat_N_log2_le_mono' 'hl/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_le_mono' 'hl/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_divide_mul_l' 'hl/thm/Library/integer/INT_DIVIDES_RMUL_'
0. 'coq/Coq_Reals_Ratan_pow2_abs'#@#variant 'hl/thm/int/INT_POW2_ABS_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_gcd_greatest' 'hl/thm/Library/integer/INT_DIVIDES_ADD_'
0. 'coq/Coq_ZArith_Zorder_Zmult_lt_compat_r'#@#variant 'hl/thm/real/REAL_LE_RMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_id' 'hl/thm/int/INT_MAX_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_le_iff' 'hl/thm/int/INT_LE_MAX_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_neq_succ_0' 'hl/thm/Complex/complex_transc/CEXP_NONZERO_'#@#variant
0. 'coq/Coq_Reals_RIneq_Ropp_involutive' 'hl/thm/Complex/complexnumbers/CNJ_CNJ_'
0. 'coq/Coq_QArith_Qpower_Qpower_pos_positive'#@#variant 'hl/thm/Library/floor/INTEGER_POW_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_add_r' 'hl/thm/int/INT_MAX_MAX_/0'
0. 'coq/Coq_ZArith_BinInt_Z_ldiff_m1_r'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_0_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lcm_1_r'#@#variant 'hl/thm/arith/ADD1_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_cancel_r' 'hl/thm/calc_int/REAL_EQ_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_lor' 'hl/thm/Multivariate/transcendentals/REAL_EXP_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_even_0' 'hl/thm/Multivariate/complexes/RE_II_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_divide_l' 'hl/thm/real/REAL_MIN_MIN_/0'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_invc' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_INV_'
0. 'coq/Coq_ZArith_BinInt_Z_lnot_lxor_l' 'hl/thm/Multivariate/transcendentals/RPOW_INV_'
0. 'coq/Coq_Reals_Raxioms_Rplus_lt_compat_l' 'hl/thm/int/INT_LE_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_r' 'hl/thm/Library/prime/DIVIDES_EXP_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_succ' 'hl/thm/Multivariate/transcendentals/CX_ATN_'#@#variant
0. 'coq/Coq_ZArith_Zpow_facts_Zpower_pos_pos'#@#variant 'hl/thm/Library/floor/RATIONAL_CLOSED_6'
0. 'coq/Coq_ZArith_BinInt_Z_mul_shuffle3' 'hl/thm/int/INT_MAX_ACI_2'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_0_iff' 'hl/thm/real/REAL_NEG_EQ_0_'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_succ' 'hl/thm/Multivariate/transcendentals/CX_COS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lor_0_l' 'hl/thm/arith/MULT_CLAUSES_2'#@#variant
0. 'coq/Coq_Arith_Lt_neq_0_lt'#@#variant 'hl/thm/arith/LE_1_1'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_le' 'hl/thm/int/INT_OF_NUM_LT_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_add_lt_sub_r' 'hl/thm/int/INT_LE_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_log2_log2_up' 'hl/thm/Multivariate/transcendentals/REAL_EXP_LE_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_involutive' 'hl/thm/int/INT_NEGNEG_'
0. 'coq/Coq_ZArith_Zeven_Zquot2_opp' 'hl/thm/Complex/complexnumbers/CNJ_INV_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_lt_mono_r' 'hl/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_greatest' 'hl/thm/Library/prime/DIVIDES_ADD_'
0. 'coq/Coq_ZArith_Zorder_Zle_0_nat'#@#variant 'hl/thm/real/REAL_LT_POW2_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lor_eq_0_iff' 'hl/thm/arith/ADD_EQ_0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_0_iff' 'hl/thm/int/INT_ABS_ZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_land_0_r' 'hl/thm/Library/prime/INDEX_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_pos'#@#variant 'hl/thm/calc_num/ARITH_40'
0. 'coq/Coq_ZArith_BinInt_Z_abs_le' 'hl/thm/int/INT_BOUNDS_LE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_r' 'hl/thm/Library/prime/DIVIDES_MUL_R_'
0. 'coq/Coq_Reals_R_sqrt_sqrt_pow2'#@#variant 'hl/thm/Library/transc/POW_2_SQRT_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_glb' 'hl/thm/Library/integer/INT_DIVIDES_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_pos'#@#variant 'hl/thm/real/REAL_SGN_INEQS_1'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_pos'#@#variant 'hl/thm/Library/integer/INT_PRIME_ABS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_lt_mono_pos_r'#@#variant 'hl/thm/real/REAL_LT_DIV2_EQ_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_1_l' 'hl/thm/realax/NADD_LE_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_pos_l'#@#variant 'hl/thm/real/REAL_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_mod' 'hl/thm/arith/MOD_MULT_MOD2_'#@#variant
0. 'coq/Coq_ZArith_Znat_Z2N_inj_pred' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_INV_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_pos'#@#variant 'hl/thm/real/REAL_SGN_INEQS_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_clearbit_spec_prime'#@#variant 'hl/thm/realax/real_div_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_pos_nonneg'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_LE_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_even_2'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_cancel_l' 'hl/thm/Library/analysis/REAL_EQ_LMUL2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_Zpos' 'hl/thm/int/num_divides_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_divide_cancel_l' 'hl/thm/Library/prime/DIVIDES_LMUL2_EQ_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lnot_ones' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LINV_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_le_lin'#@#variant 'hl/thm/Library/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_div_pos'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_LT_1_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_pos'#@#variant 'hl/thm/Library/transc/LN_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_reg_l' 'hl/thm/realax/HREAL_ADD_LCANCEL_'
0. 'coq/Coq_Reals_Rprod_INR_fact_lt_0'#@#variant 'hl/thm/Multivariate/complexes/RE_CSQRT_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rgt_not_ge' 'hl/thm/arith/LET_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_odd_0' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_divide_factor_r' 'hl/thm/real/REAL_MAX_MAX_/1'
0. 'coq/Coq_Reals_Rtrigo1_tan_neg' 'hl/thm/Multivariate/vectors/SQRT_INV_'
0. 'coq/Coq_ZArith_Zorder_Zsucc_gt_compat' 'hl/thm/Multivariate/vectors/SQRT_MONO_LE_'
0. 'coq/Coq_ZArith_Zorder_Zle_0_pos'#@#variant 'hl/thm/Multivariate/transcendentals/ARG_/0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_pos_cancel_l'#@#variant 'hl/thm/Library/floor/INTEGER_SUB_EQ_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_le_mono' 'hl/thm/Library/transc/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Reals_Rtrigo1_tan_neg' 'hl/thm/Multivariate/transcendentals/ATN_ABS_'
0. 'coq/Coq_NArith_BinNat_N_pow_lt_mono'#@#variant 'hl/thm/real/REAL_LT_MUL2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_0_r' 'hl/thm/Library/prime/INDEX_0_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_max_le_iff' 'hl/thm/real/REAL_LT_MAX_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_ge_cases' 'hl/thm/realax/TREAL_LE_TOTAL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_nonneg_pos'#@#variant 'hl/thm/realarith/REAL_LET_ADD_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_RRle_abs' 'hl/thm/Library/analysis/LESS_EQ_SUC_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_divide_mono_r' 'hl/thm/realax/NADD_LE_RMUL_'
0. 'coq/Coq_ZArith_BinInt_Z_min_glb_lt' 'hl/thm/Library/integer/INT_DIVIDES_ADD_'
0. 'coq/Coq_NArith_BinNat_N_lt_nge' 'hl/thm/arith/NOT_LT_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_id' 'hl/thm/Multivariate/vectors/LIFT_DROP_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_divide_mono_r' 'hl/thm/Library/prime/LESS_MONO_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_glb_lt' 'hl/thm/Library/integer/INT_DIVIDES_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_lt_mono_l' 'hl/thm/arith/LE_ADD_LCANCEL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_le_incl' 'hl/thm/arith/LT_IMP_LE_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sub_succ' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_MUL2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_pred_l' 'hl/thm/Library/floor/FLOOR_/1'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_add_lt_sub_r' 'hl/thm/real/REAL_LT_SUB_LADD_'
0. 'coq/Coq_PArith_BinPos_Pos_min_le_compat_r' 'hl/thm/Library/analysis/LESS_MONO_ADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_nge' 'hl/thm/int/INT_NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_nge' 'hl/thm/Library/analysis/real_le_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div_same'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_DIV_REFL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_nonneg_pos'#@#variant 'hl/thm/int/INT_LET_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_div_mul' 'hl/thm/real/REAL_DIV_RMUL_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_add_lt_sub_r' 'hl/thm/int/INT_LT_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_pos'#@#variant 'hl/thm/Library/transc/LN_POS_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_pos_l'#@#variant 'hl/thm/int/INT_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_eq_0' 'hl/thm/arith/MULT_EQ_1_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_min_glb_iff' 'hl/thm/real/REAL_LT_MIN_'
0. 'coq/Coq_Reals_RIneq_Rge_refl' 'hl/thm/realax/NADD_LE_REFL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_le_compat_l' 'hl/thm/realax/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_lt_le_mono' 'hl/thm/real/REAL_LTE_ADD2_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_gt_cases' 'hl/thm/realarith/REAL_LET_TOTAL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_ngt' 'hl/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_Reals_RIneq_Rgt_ge' 'hl/thm/arith/LT_IMP_LE_'
0. 'coq/Coq_Arith_PeanoNat_Nat_max_le_iff' 'hl/thm/real/REAL_LT_MAX_'
0. 'coq/Coq_Reals_R_sqr_Rsqr_abs' 'hl/thm/Complex/complex_transc/CCOS_NEG_'
0. 'coq/Coq_NArith_BinNat_N_shiftl_1_l'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_LZERO_'#@#variant
0. 'coq/Coq_Numbers_Cyclic_ZModulo_ZModulo_Ptail_pos'#@#variant 'hl/thm/Library/floor/INTEGER_CLOSED_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div2_neg' 'hl/thm/real/REAL_SGN_INEQS_5'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_max_le_compat_r' 'hl/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_ZArith_Zquot_Zquot_opp_opp' 'hl/thm/int/INT_NEG_MUL2_'
0. 'coq/Coq_QArith_QArith_base_Qmult_lt_l'#@#variant 'hl/thm/Library/analysis/REAL_LE_LMUL_LOCAL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mod_1_r'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lcm_0_r' 'hl/thm/calc_int/REAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_setbit_spec_prime'#@#variant 'hl/thm/int/INT_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_le_lin'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_LE_X_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_le_mono' 'hl/thm/Multivariate/transcendentals/ATN_MONO_LT_'
0. 'coq/Coq_ZArith_Znat_N2Z_is_nonneg'#@#variant 'hl/thm/realarith/REAL_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_land_0_r' 'hl/thm/Library/pocklington/ORDER_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_total' 'hl/thm/real/REAL_LT_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_1_l'#@#variant 'hl/thm/int/INT_NEG_MINUS1_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_le_mono_r' 'hl/thm/arith/LT_LMULT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_mod' 'hl/thm/arith/MOD_ADD_MOD_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_abs_opp' 'hl/thm/Library/transc/COS_ABS_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_cancel_r' 'hl/thm/arith/EQ_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_le_iff' 'hl/thm/int/INT_MIN_LT_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_le_iff' 'hl/thm/real/REAL_LE_MAX_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_cancel_r' 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_ADD_RCANCEL_'
0. 'coq/Coq_ZArith_Zeven_Zodd_plus_Zeven' 'hl/thm/Multivariate/transcendentals/RPOW_LT_1_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_max_le_compat_r' 'hl/thm/Library/prime/DIVIDES_MUL_R_'
0. 'coq/Coq_ZArith_Znat_Z2N_inj_pred' 'hl/thm/Complex/complexnumbers/CX_INV_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_nonneg'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_POS_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_lt_lin'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_LT_X_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_divide_iff' 'hl/thm/int/INT_LE_MIN_'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_le_mono' 'hl/thm/Library/transc/ATN_MONO_LT_'
0. 'coq/Coq_NArith_BinNat_N_gcd_0_l' 'hl/thm/realax/REAL_ADD_LID_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_eq_mul_0' 'hl/thm/real/REAL_DIV_EQ_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_min_l' 'hl/thm/real/REAL_MIN_MIN_/0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div2_neg' 'hl/thm/real/REAL_SGN_INEQS_8'#@#variant
0. 'coq/Coq_QArith_QArith_base_inject_Z_opp' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_INV_'
0. 'coq/Coq_NArith_BinNat_N_div2_double' 'hl/thm/Multivariate/transcendentals/LOG_EXP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_even_2'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_opp_opp' 'hl/thm/int/INT_NEG_MUL2_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_even_sub' 'hl/thm/real/REAL_OF_NUM_SUB_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_pos'#@#variant 'hl/thm/Library/integer/INT_PRIME_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_refl' 'hl/thm/Library/poly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zle_0_pos'#@#variant 'hl/thm/realarith/REAL_POS_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_shuffle3' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_AC_2'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_divide_l' 'hl/thm/real/REAL_MIN_MIN_/0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_quot_0_l' 'hl/thm/arith/MOD_0_'#@#variant
0. 'coq/Coq_QArith_Qminmax_Q_max_lub_lt_iff' 'hl/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_divide_cancel_r' 'hl/thm/Library/prime/DIVIDES_RMUL2_EQ_'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_T_OMEGA15_stable' 'hl/thm/Library/multiplicative/MULTIPLICATIVE_SIGMA_'
0. 'coq/Coq_MSets_MSetPositive_PositiveSet_is_empty_spec' 'hl/thm/Multivariate/complexes/real_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_involutive' 'hl/thm/Complex/complexnumbers/CNJ_CNJ_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_succ' 'hl/thm/Multivariate/transcendentals/CX_SIN_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_max_le_compat_r' 'hl/thm/Library/integer/INT_DIVIDES_MUL_R_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_lt_mono_l' 'hl/thm/real/REAL_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftl_mul_pow2'#@#variant 'hl/thm/Complex/complexnumbers/complex_div_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lor_diag' 'hl/thm/int/INT_MIN_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_add_r' 'hl/thm/Complex/cpoly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_0_r' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_add_cancel_r' 'hl/thm/Library/poly/POLY_DIVIDES_SUB_'#@#variant
0. 'coq/Coq_ZArith_Zquot_Z_rem_same' 'hl/thm/real/REAL_SUB_REFL_'#@#variant
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_phi' 'hl/thm/Multivariate/complexes/RE_CX_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sub_pred_l' 'hl/thm/Multivariate/transcendentals/RPOW_INV_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_succ_diag_r' 'hl/thm/arith/LT_POW2_REFL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_setbit_spec_prime'#@#variant 'hl/thm/Complex/complexnumbers/complex_div_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_pos'#@#variant 'hl/thm/Library/pocklington/EVEN_PHI_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lor_m1_r'#@#variant 'hl/thm/Library/prime/INDEX_0_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sub_pred_l' 'hl/thm/arith/ADD_CLAUSES_2'
0. 'coq/Coq_Init_Peano_le_n_S' 'hl/thm/Multivariate/vectors/SQRT_MONO_LE_'
0. 'coq/Coq_Reals_Rtrigo1_sin_gt_0'#@#variant 'hl/thm/Multivariate/transcendentals/TAN_POS_PI2_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_lt_mono_l' 'hl/thm/real/REAL_LE_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_cancel_l' 'hl/thm/arith/EQ_ADD_LCANCEL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_neg_pos'#@#variant 'hl/thm/real/REAL_NEG_LT0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_divide_r' 'hl/thm/int/INT_MIN_MIN_/1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div2_nonneg'#@#variant 'hl/thm/Multivariate/vectors/SQRT_LT_0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_lxor_l' 'hl/thm/Multivariate/transcendentals/RPOW_INV_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_sqrt' 'hl/thm/Multivariate/transcendentals/CX_EXP_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lcm_1_l'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_succ_l' 'hl/thm/Multivariate/transcendentals/REAL_INV_RPOW_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_glb_lt' 'hl/thm/Library/prime/DIVIDES_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_divide_iff' 'hl/thm/int/INT_LE_MIN_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_0_r' 'hl/thm/arith/MULT_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div_same'#@#variant 'hl/thm/arith/DIV_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_1_r' 'hl/thm/realax/HREAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_nonneg'#@#variant 'hl/thm/Library/transc/ATN_POS_LE_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_log2_lor' 'hl/thm/Multivariate/transcendentals/REAL_EXP_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_succ_r' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_shuffle3' 'hl/thm/arith/ADD_AC_2'
0. 'coq/Coq_Arith_Mult_mult_le_compat_r' 'hl/thm/Library/prime/DIVIDES_EXP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_pos'#@#variant 'hl/thm/Library/pocklington/EVEN_PHI_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qinv_lt_0_compat'#@#variant 'hl/thm/Multivariate/vectors/SQRT_POS_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_sub_le_add_r' 'hl/thm/int/INT_LT_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_nonneg_cancel_r'#@#variant 'hl/thm/int/INT_LE_MUL_EQ_1'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_1_l' 'hl/thm/arith/MULT_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_inj_wd' 'hl/thm/calc_num/ARITH_54'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lxor_lnot_lnot' 'hl/thm/arith/SUB_SUC_'
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_Ropp' 'hl/thm/Library/transc/COS_NEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_pos_nonneg'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_LT_1_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_glb_lt' 'hl/thm/Library/integer/INT_DIVIDES_ADD_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_divide_mono_r' 'hl/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_QArith_Qminmax_Q_max_le_compat_r' 'hl/thm/arith/EXP_MONO_LE_IMP_'
0. 'coq/Coq_Reals_RIneq_Ropp_mult_distr_r_reverse' 'hl/thm/calc_int/REAL_MUL_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_le_compat_r' 'hl/thm/Library/analysis/LESS_MONO_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_add_lt_sub_r' 'hl/thm/real/REAL_LE_SUB_LADD_'
0. 'coq/Coq_QArith_QArith_base_Qeq_refl' 'hl/thm/realax/NADD_EQ_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_cancel_r' 'hl/thm/calc_int/REAL_EQ_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_pred_r' 'hl/thm/arith/ADD_SUC_'
0. 'coq/Coq_ZArith_BinInt_Z_divide_sub_r' 'hl/thm/Library/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rplus_le_compat_r' 'hl/thm/realax/NADD_LE_RMUL_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_pos' 'hl/thm/int/INT_SGN_INEQS_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_pos_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_POS_LT_'#@#variant
0. 'coq/Coq_Reals_RIneq_Ropp_Ropp_IZR' 'hl/thm/Multivariate/transcendentals/CX_SIN_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_lt_mono_r' 'hl/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_lt_iff' 'hl/thm/int/INT_LE_MAX_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_lt_succ' 'hl/thm/Library/analysis/LESS_SUC_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_ge_cases' 'hl/thm/realax/TREAL_LE_TOTAL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_0_r' 'hl/thm/int/INT_MUL_RZERO_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_r' 'hl/thm/realax/NADD_LE_RMUL_'
0. 'coq/Coq_NArith_BinNat_N_mul_1_l'#@#variant 'hl/thm/realax/HREAL_ADD_LID_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_PI_RGT_0' 'hl/thm/Library/transc/PI2_BOUNDS_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_nonneg_l'#@#variant 'hl/thm/real/REAL_LT_LMUL_'#@#variant
0. 'coq/Coq_Init_Peano_le_pred' 'hl/thm/Multivariate/vectors/SQRT_MONO_LE_'
0. 'coq/Coq_QArith_Qminmax_Q_min_le_compat_r' 'hl/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_land_diag' 'hl/thm/int/INT_MAX_ACI_3'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_lub_iff' 'hl/thm/real/REAL_MAX_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_alt_dichotomy' 'hl/thm/realax/HREAL_LE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_le_compat_l' 'hl/thm/real/REAL_LT_LADD_IMP_'
0. 'coq/Coq_Reals_Raxioms_Rmult_lt_compat_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_quot_pos'#@#variant 'hl/thm/realarith/REAL_LTE_ADD_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_max_lub_iff' 'hl/thm/int/INT_MAX_LE_'
0. 'coq/Coq_Reals_Ratan_atan_bound/0'#@#variant 'hl/thm/arith/LT_0_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_total' 'hl/thm/real/REAL_LT_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_even_0' 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant
0. 'coq/Coq_QArith_Qabs_Qabs_opp' 'hl/thm/Multivariate/transcendentals/ATN_ABS_LE_X_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lxor_eq_0_iff' 'hl/thm/int/INT_SUB_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_mod_idemp_r' 'hl/thm/arith/MOD_MULT_RMOD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_ge_le_iff' 'hl/thm/realax/real_ge_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_nle' 'hl/thm/Library/analysis/real_le_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_refl' 'hl/thm/Complex/cpoly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_oppc' 'hl/thm/Complex/complexnumbers/CX_NEG_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_eq_0' 'hl/thm/arith/MULT_EQ_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_eq_mul_0' 'hl/thm/int/INT_ENTIRE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_pos'#@#variant 'hl/thm/Library/integer/INT_PRIME_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_nonneg'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_POS_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_opp_r' 'hl/thm/Library/integer/INT_DIVIDES_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_lxor_l' 'hl/thm/arith/ADD_CLAUSES_2'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_pos'#@#variant 'hl/thm/int/INT_SGN_INEQS_0'#@#variant
0. 'coq/Coq_QArith_QArith_base_inject_Z_opp' 'hl/thm/Multivariate/transcendentals/CX_SIN_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_double_twice'#@#variant 'hl/thm/Library/analysis/REAL_INV_1OVER_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_refl' 'hl/thm/Complex/cpoly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_lt_iff' 'hl/thm/real/REAL_MIN_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_glb_lt' 'hl/thm/Library/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_lt_lin'#@#variant 'hl/thm/Library/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Reals_Rpower_ln_increasing'#@#variant 'hl/thm/Library/transc/SQRT_MONO_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_refl' 'hl/thm/realax/NADD_LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_refl' 'hl/thm/arith/LE_REFL_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_succ' 'hl/thm/Complex/complex_transc/CX_CEXP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div_pos'#@#variant 'hl/thm/realarith/REAL_LTE_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_succ_inj_wd' 'hl/thm/real/REAL_EQ_INV2_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_lub_lt_iff' 'hl/thm/int/INT_MAX_LE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lor_nonneg'#@#variant 'hl/thm/arith/ODD_MULT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_le_mono' 'hl/thm/realax/NADD_INV_WELLDEF_'
0. 'coq/Coq_NArith_BinNat_N_succ_inj_wd' 'hl/thm/Multivariate/complexes/CNJ_INJ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lor_0_l' 'hl/thm/arith/MULT_CLAUSES_2'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_min_le_compat_r' 'hl/thm/Library/prime/DIVIDES_EXP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_refl' 'hl/thm/realax/TREAL_LE_REFL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_pos_cancel_l'#@#variant 'hl/thm/Library/floor/INTEGER_SUB_EQ_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_null'#@#variant 'hl/thm/int/INT_SGN_EQ_1'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_le_lin'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_LE_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_opp' 'hl/thm/Multivariate/transcendentals/CNJ_CEXP_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_pos' 'hl/thm/int/INT_SGN_INEQS_3'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_pos'#@#variant 'hl/thm/Multivariate/transcendentals/REAL_EXP_LT_1_'#@#variant
0. 'coq/Coq_Reals_RIneq_Req_le' 'hl/thm/realax/TREAL_EQ_AP_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_nlt_ge' 'hl/thm/arith/NOT_LT_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_cancel_r' 'hl/thm/calc_int/REAL_EQ_ADD_RCANCEL_'
0. 'coq/Coq_NArith_BinNat_N_pow_le_mono_l_iff' 'hl/thm/Library/prime/DIVIDES_EXP2_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_opp_l' 'hl/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_divide_l' 'hl/thm/real/REAL_MIN_MIN_/0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_le_mono_pos_r'#@#variant 'hl/thm/real/REAL_LT_DIV2_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_pred_r' 'hl/thm/calc_int/REAL_MUL_RNEG_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_divide_mono_l' 'hl/thm/Library/prime/DIVIDES_MUL_L_'
0. 'coq/Coq_Reals_RIneq_Rle_or_lt' 'hl/thm/int/INT_LET_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_2' 'hl/thm/Library/transc/TAN_0_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_max_l' 'hl/thm/arith/LE_ADD_'
0. 'coq/Coq_ZArith_Znat_Zabs2Nat_id' 'hl/thm/Multivariate/complexes/RE_CX_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_irrefl' 'hl/thm/realarith/REAL_LT_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_lxor_nonneg'#@#variant 'hl/thm/arith/EVEN_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_pos'#@#variant 'hl/thm/Multivariate/vectors/SQRT_LT_0_'#@#variant
0. 'coq/Coq_Reals_Ratan_atan_opp' 'hl/thm/real/REAL_ABS_SGN_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_nonneg_r'#@#variant 'hl/thm/real/REAL_LT_RMUL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div2_neg' 'hl/thm/real/REAL_SGN_INEQS_8'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_pos'#@#variant 'hl/thm/Library/integer/INT_PRIME_ABS_'
0. 'coq/Coq_PArith_BinPos_Pos_nlt_1_r' 'hl/thm/Library/analysis/NOT_LESS_0_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_nonneg' 'hl/thm/Multivariate/transcendentals/ATN_BOUNDS_/0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_gcd_greatest' 'hl/thm/Library/integer/INT_DIVIDES_SUB_'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_inj_l' 'hl/thm/real/REAL_EQ_RCANCEL_IMP_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_move_r' 'hl/thm/real/REAL_EQ_SUB_LADD_'
0. 'coq/Coq_NArith_BinNat_N_ldiff_diag' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_REFL_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_le_incl' 'hl/thm/realarith/REAL_LT_IMP_LE_'
0. 'coq/Coq_Arith_Gt_gt_n_S' 'hl/thm/Library/transc/ATN_MONO_LT_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_comm' 'hl/thm/realax/NADD_MUL_SYM_'
0. 'coq/Coq_Reals_Rminmax_R_min_le_compat_l' 'hl/thm/Library/integer/INT_DIVIDES_MUL_L_'
0. 'coq/Coq_PArith_BinPos_Pos_add_le_mono_l' 'hl/thm/real/REAL_LT_LADD_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_lt_mono_pos_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LT_EQ_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sgn_null_iff' 'hl/thm/real/REAL_SGN_INEQS_4'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_clearbit_spec_prime'#@#variant 'hl/thm/realax/real_div_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_divide_mono_l' 'hl/thm/real/REAL_LT_LADD_IMP_'
0. 'coq/Coq_NArith_BinNat_N_odd_sub' 'hl/thm/real/REAL_OF_NUM_SUB_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_lt_mono_l' 'hl/thm/realax/HREAL_LE_ADD_LCANCEL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_eq_mul_0' 'hl/thm/Complex/complexnumbers/COMPLEX_ENTIRE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_odd_2'#@#variant 'hl/thm/Multivariate/complexes/IM_II_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_clearbit_spec_prime'#@#variant 'hl/thm/real/REAL_SUB_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lcm_0_r' 'hl/thm/arith/MULT_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_lt_le_mono' 'hl/thm/int/INT_LTE_ADD2_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_lt_mono_r' 'hl/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_neq_0_succ' 'hl/thm/nums/IND_SUC_0_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_diag' 'hl/thm/real/REAL_MAX_ACI_3'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_involutive' 'hl/thm/Multivariate/complexes/COMPLEX_INV_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lor_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_lt_total' 'hl/thm/Library/analysis/LESS_CASES_IMP_'
0. 'coq/Coq_NArith_BinNat_N_min_le_compat_r' 'hl/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_eq_0_gt_0_cases'#@#variant 'hl/thm/arith/LE_1_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div_same'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_DIV_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_Zpos' 'hl/thm/int/num_divides_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_lt_lin'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_LE_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_le_mono' 'hl/thm/Library/floor/FLOOR_MONO_'
0. 'coq/Coq_Reals_SeqProp_CV_mult' 'hl/thm/Library/analysis/SEQ_ADD_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_glb' 'hl/thm/Complex/cpoly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rgt_irrefl' 'hl/thm/arith/LT_REFL_'
0. 'coq/Coq_Reals_AltSeries_PI_tg_pos'#@#variant 'hl/thm/Multivariate/complexes/REAL_CX_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_sqrt' 'hl/thm/Multivariate/transcendentals/CX_ATN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_cancel_r' 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_nonneg_nonpos'#@#variant 'hl/thm/int/INT_NEG_GT0_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_lub_l' 'hl/thm/Library/prime/DIVIDES_RMUL2_'
0. 'coq/Coq_ZArith_Zsqrt_compat_Zsqrt_plain_is_pos'#@#variant 'hl/thm/nums/NUM_REP_RULES_1'
0. 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_gt_lt_iff' 'hl/thm/realax/real_ge_'
0. 'coq/Coq_QArith_Qcanon_Qcle_refl' 'hl/thm/realax/REAL_LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_succ_inj_wd' 'hl/thm/Library/prime/CANCEL_TIMES2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_eq'#@#variant 'hl/thm/Multivariate/complexes/REAL_IMP_CNJ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_mul_r' 'hl/thm/Library/prime/DIVIDES_LMUL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_0_iff' 'hl/thm/real/REAL_SGN_INEQS_9'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_1_l'#@#variant 'hl/thm/realarith/REAL_POLY_NEG_CLAUSES_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pos_pred_succ' 'hl/thm/Library/floor/INT_OF_REAL_OF_INT_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_add_norm' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_TRIANGLE_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_lt_mono_r' 'hl/thm/arith/LT_ADD_RCANCEL_'
0. 'coq/Coq_Reals_ROrderedType_ROrder_TO_le_lteq' 'hl/thm/realarith/REAL_LE_LT_'
0. 'coq/Coq_Arith_Lt_lt_not_le' 'hl/thm/real/REAL_LET_ANTISYM_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lcm_1_l'#@#variant 'hl/thm/arith/ADD_CLAUSES_0'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_square' 'hl/thm/Complex/complex_transc/CX_CEXP_'
0. 'coq/Coq_QArith_Qabs_Qle_Qabs' 'hl/thm/Library/analysis/LESS_SUC_REFL_'
0. 'coq/Coq_Arith_Div2_div2_double'#@#variant 'hl/thm/Library/transc/LN_EXP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lnot_0_l' 'hl/thm/int/INT_NEG_MINUS1_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_sqrt' 'hl/thm/Multivariate/transcendentals/CX_SIN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_shuffle3' 'hl/thm/realax/HREAL_ADD_AC_2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_sub_distr' 'hl/thm/int/INT_SUB_LNEG_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lxor_0_l' 'hl/thm/realax/REAL_ADD_LID_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rlt_le' 'hl/thm/realarith/REAL_LT_IMP_LE_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_lt_mono_l' 'hl/thm/realax/NADD_LE_LADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_le_mono_pos_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LT_EQ_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_div2' 'hl/thm/Complex/complexnumbers/CX_INV_'
0. 'coq/Coq_Reals_Rbasic_fun_RRle_abs' 'hl/thm/arith/LT_POW2_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_double_mul' 'hl/thm/Multivariate/transcendentals/REAL_ABS_RPOW_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_nge' 'hl/thm/int/INT_LT_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_lub_lt_iff' 'hl/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_QArith_Qcanon_Qcmult_div_r'#@#variant 'hl/thm/real/REAL_DIV_LMUL_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zmult_lt_0_le_compat_r'#@#variant 'hl/thm/int/INT_LE_RMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_2' 'hl/thm/int/INT_SGN_0_'
0. 'coq/Coq_Arith_PeanoNat_Nat_max_le_compat_l' 'hl/thm/realax/NADD_MUL_WELLDEF_LEMMA_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_pos'#@#variant 'hl/thm/real/REAL_ABS_NZ_'#@#variant
0. 'coq/Coq_Arith_Min_min_idempotent' 'hl/thm/real/REAL_MIN_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_succ_r' 'hl/thm/int/INT_MUL_RNEG_'
0. 'coq/Coq_NArith_BinNat_N_pred_le_mono' 'hl/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_inj_wd' 'hl/thm/real/REAL_EQ_NEG2_'
0. 'coq/Coq_Reals_Ratan_atan_opp' 'hl/thm/Library/transc/SIN_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pred_le_mono' 'hl/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_mul_lt_mono_l' 'hl/thm/int/INT_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ldiff_diag' 'hl/thm/real/REAL_SUB_REFL_'#@#variant
0. 'coq/Coq_Reals_Ranalysis4_sinh_lt' 'hl/thm/Library/transc/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_NArith_BinNat_N_pred_div2_up' 'hl/thm/int/int_abs_th_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_cancel_r' 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_ADD_RCANCEL_'
0. 'coq/Coq_Reals_RIneq_Rplus_opp_l' 'hl/thm/realax/REAL_ADD_LINV_'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_lt' 'hl/thm/int/num_divides_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_le_mono' 'hl/thm/Library/transc/ATN_MONO_LT_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_opp_norm' 'hl/thm/Multivariate/vectors/SQRT_POS_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_shuffle3' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_AC_2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_cancel_l' 'hl/thm/calc_int/REAL_EQ_ADD_LCANCEL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_ngt' 'hl/thm/arith/NOT_LE_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_glb_iff' 'hl/thm/real/REAL_LT_MIN_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_pos'#@#variant 'hl/thm/Multivariate/vectors/SQRT_LT_0_'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_gt' 'hl/thm/int/INT_OF_NUM_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_double'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_INV_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_digits/0'#@#variant 'hl/thm/real/REAL_LE_POW2_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_null'#@#variant 'hl/thm/real/REAL_SGN_EQ_1'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_le_lt_trans' 'hl/thm/arith/LET_TRANS_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div2_nonneg'#@#variant 'hl/thm/calc_num/ARITH_44'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_0_l' 'hl/thm/arith/ADD_CLAUSES_0'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_le_1_l' 'hl/thm/realax/NADD_LE_0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ldiff_land' 'hl/thm/int/INT_SUB_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_opp_r' 'hl/thm/real/REAL_NEG_RMUL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_0_l' 'hl/thm/realax/REAL_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_lt_mono_l_iff' 'hl/thm/Library/prime/DIVIDES_RMUL2_EQ_'#@#variant
0. 'coq/Coq_ZArith_Zlogarithm_log_near_correct1'#@#variant 'hl/thm/Multivariate/complexes/REAL_CX_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_inj_wd' 'hl/thm/Library/transc/ATN_INJ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_1_l'#@#variant 'hl/thm/Library/integer/INT_DIVIDES_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_2' 'hl/thm/Library/transc/ATN_0_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_double_size_level' 'hl/thm/Multivariate/complexes/CX_INV_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_lt_mono_l' 'hl/thm/arith/EXP_MONO_LT_IMP_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_add_r' 'hl/thm/arith/LE_ADD_'
0. 'coq/Coq_PArith_BinPos_Pos_lt_nle' 'hl/thm/realarith/REAL_NOT_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_pos_r'#@#variant 'hl/thm/real/REAL_LE_DIV2_EQ_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_eq'#@#variant 'hl/thm/Multivariate/complexes/REAL_IMP_CNJ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ldiff_land' 'hl/thm/realax/real_div_'
0. 'coq/Coq_PArith_Pnat_SuccNat2Pos_inj_iff' 'hl/thm/realax/HREAL_OF_NUM_EQ_'
0. 'coq/Coq_Reals_Rfunctions_tech_pow_Rmult' 'hl/thm/realax/real_pow_1'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_add_le' 'hl/thm/real/REAL_ABS_TRIANGLE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_sub_triangle' 'hl/thm/int/INT_SUB_ABS_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_lt_mono_pos_r'#@#variant 'hl/thm/real/REAL_LT_RMUL_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_divide_r' 'hl/thm/int/INT_MIN_MIN_/1'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mod_divide' 'hl/thm/Library/prime/DIVIDES_MOD_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_div2_succ_double' 'hl/thm/Library/transc/ATN_/2'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_le_mono_r_iff'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LE_EQ_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_le_mono_r' 'hl/thm/realax/HREAL_LE_ADD_RCANCEL_'
0. 'coq/Coq_Reals_Rbasic_fun_Rmax_l' 'hl/thm/realax/HREAL_LE_ADD_'
0. 'coq/Coq_QArith_QArith_base_Qlt_le_weak' 'hl/thm/realarith/REAL_LT_IMP_LE_'
0. 'coq/Coq_Arith_Mult_mult_le_compat_r' 'hl/thm/arith/EXP_MONO_LE_IMP_'
0. 'coq/Coq_ZArith_BinInt_Z_opp_inj_wd' 'hl/thm/Multivariate/vectors/SQRT_INJ_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lcm_eq_0' 'hl/thm/realarith/REAL_ENTIRE_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_eq_mul_0' 'hl/thm/Complex/complexnumbers/COMPLEX_ENTIRE_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_le_mono' 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_move_r' 'hl/thm/real/REAL_EQ_SUB_LADD_'
0. 'coq/Coq_Reals_Rfunctions_powerRZ_lt'#@#variant 'hl/thm/Library/floor/INTEGER_CLOSED_4'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_le_iff' 'hl/thm/int/INT_LE_MAX_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_le_mono_r_iff'#@#variant 'hl/thm/Library/analysis/REAL_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_irrefl' 'hl/thm/arith/LT_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_pred_double_spec' 'hl/thm/nums/BIT1_DEF_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lcm_1_l'#@#variant 'hl/thm/realax/REAL_MUL_LID_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_lt_lin'#@#variant 'hl/thm/Library/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rplus_le_compat_l' 'hl/thm/real/REAL_LT_LADD_IMP_'
0. 'coq/Coq_MMaps_MMapPositive_PositiveMap_ME_eqke_equiv' 'hl/thm/Multivariate/topology/MCOMPLETE_EUCLIDEAN_'
0. 'coq/Coq_Reals_Rtrigo1_tan_neg' 'hl/thm/Multivariate/transcendentals/ATN_NEG_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_0_r' 'hl/thm/int/INT_MUL_RZERO_'#@#variant
0. 'coq/Coq_Reals_Ratan_atan_increasing' 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_nonneg_cancel_r'#@#variant 'hl/thm/int/INT_LE_MUL_EQ_1'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qmult_lt_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LT_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_le_mono_nonneg'#@#variant 'hl/thm/Library/analysis/REAL_LE_MUL2V_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_total' 'hl/thm/Library/analysis/LESS_CASES_IMP_'
0. 'coq/Coq_ZArith_BinInt_Z_add_lt_mono_r' 'hl/thm/int/INT_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_succ_l' 'hl/thm/arith/MULT_1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_0_r' 'hl/thm/Library/pocklington/ORDER_1_'#@#variant
0. 'coq/Coq_NArith_Ndigits_Ndiv2_double' 'hl/thm/Library/transc/EXP_LN_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_lub_iff' 'hl/thm/int/INT_MAX_LE_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_refl' 'hl/thm/realax/TREAL_EQ_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_land_lnot_diag' 'hl/thm/int/INT_ADD_RINV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_lt_mono_pos_r'#@#variant 'hl/thm/real/REAL_LE_RMUL_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div_le_mono' 'hl/thm/arith/EXP_MONO_LT_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_succ_l' 'hl/thm/arith/MULT_1'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_l2i_i2l'#@#variant 'hl/thm/Multivariate/vectors/LIFT_DROP_0'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_le' 'hl/thm/int/num_divides_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lor_diag' 'hl/thm/real/REAL_MIN_ACI_3'
0. 'coq/Coq_Arith_Plus_plus_le_compat_l' 'hl/thm/realax/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lxor_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_is_nonneg'#@#variant 'hl/thm/Multivariate/transcendentals/ARG_/0'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_sqrt_sqrt_up' 'hl/thm/Multivariate/transcendentals/REAL_EXP_LE_X_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_log2' 'hl/thm/Complex/complex_transc/CX_CSIN_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_lub_iff' 'hl/thm/int/INT_MAX_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_0_r' 'hl/thm/Library/prime/INDEX_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_max_r' 'hl/thm/real/REAL_MAX_MAX_/1'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_ge' 'hl/thm/int/INT_OF_NUM_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lor_m1_r'#@#variant 'hl/thm/Library/prime/INDEX_0_'#@#variant
0. 'coq/Coq_fourier_Fourier_util_Rle_zero_pos_plus1'#@#variant 'hl/thm/nums/NUM_REP_RULES_1'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_le_mono_r' 'hl/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_double'#@#variant 'hl/thm/Library/transc/LN_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_le_mono' 'hl/thm/Library/transc/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_inj_l' 'hl/thm/real/REAL_EQ_RCANCEL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div2_nonneg' 'hl/thm/real/REAL_SGN_INEQS_2'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_le_iff' 'hl/thm/real/REAL_MIN_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_even_0' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pow_le_mono_l' 'hl/thm/Library/prime/DIVIDES_MUL_R_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_min_r' 'hl/thm/Library/prime/INDEX_TRIVIAL_BOUND_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_sub' 'hl/thm/int/INT_SUB_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_pos'#@#variant 'hl/thm/real/REAL_LT_INV_EQ_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_alt_dichotomy' 'hl/thm/int/INT_LE_TOTAL_'
0. 'coq/Coq_ZArith_BinInt_Z_max_le_compat_l' 'hl/thm/real/REAL_LT_LADD_IMP_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_invc' 'hl/thm/Complex/complexnumbers/CX_INV_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_sgn' 'hl/thm/int/INT_ABS_ABS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div2_double' 'hl/thm/Library/transc/ATN_TAN_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_le_iff' 'hl/thm/int/INT_MIN_LE_'
0. 'coq/Coq_Reals_Rpower_exp_increasing' 'hl/thm/Multivariate/transcendentals/ATN_MONO_LT_'
0. 'coq/Coq_ZArith_BinInt_Z_gcd_divide_r' 'hl/thm/Library/prime/INDEX_TRIVIAL_BOUND_'
0. 'coq/Coq_ZArith_BinInt_ZL0'#@#variant 'hl/thm/calc_num/ARITH_31'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_nlt' 'hl/thm/int/INT_LT_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_carry_reg_l' 'hl/thm/realax/HREAL_ADD_LCANCEL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_1_l'#@#variant 'hl/thm/arith/LE_0_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_square_spec' 'hl/thm/arith/BIT0_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_l' 'hl/thm/realax/NADD_MUL_WELLDEF_LEMMA_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_even_0' 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_1_l' 'hl/thm/realax/HREAL_ADD_LID_'#@#variant
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_div2' 'hl/thm/Complex/complexnumbers/CX_NEG_'
0. 'coq/Coq_Strings_Ascii_ascii_nat_embedding' 'hl/thm/Multivariate/complexes/RE_CX_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rge_or_gt' 'hl/thm/realarith/REAL_LTE_TOTAL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_null'#@#variant 'hl/thm/real/REAL_SGN_EQ_2'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pow_le_mono_r' 'hl/thm/arith/LT_LMULT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_eq_0' 'hl/thm/Complex/complexnumbers/COMPLEX_ENTIRE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ldiff_land' 'hl/thm/int/INT_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ldiff_land' 'hl/thm/realax/real_sub_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_gcd_divide_l' 'hl/thm/real/REAL_MIN_MIN_/0'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_nlt_1_r' 'hl/thm/Library/prime/NOT_LESS_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_nonneg'#@#variant 'hl/thm/real/REAL_LE_MUL2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_opp' 'hl/thm/Multivariate/transcendentals/TAN_NEG_'
0. 'coq/Coq_Arith_PeanoNat_Nat_land_0_r' 'hl/thm/int/INT_MUL_RZERO_'#@#variant
0. 'coq/Coq_Numbers_Cyclic_DoubleCyclic_DoubleBase_wB_pos'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_succ_inj_wd' 'hl/thm/real/REAL_EQ_INV2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_quot_le_mono'#@#variant 'hl/thm/real/REAL_LT_RMUL_'#@#variant
0. 'coq/Coq_fourier_Fourier_util_Rle_zero_pos_plus1'#@#variant 'hl/thm/Library/floor/INTEGER_CLOSED_5'
0. 'coq/Coq_Reals_Rbasic_fun_Rmin_l' 'hl/thm/real/REAL_MIN_MIN_/0'
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_divide/0' 'hl/thm/int/INT_MIN_MIN_/0'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_le_iff' 'hl/thm/int/INT_LE_MAX_'
0. 'coq/Coq_Reals_Rfunctions_RPow_abs' 'hl/thm/real/REAL_POW_INV_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_pred'#@#variant 'hl/thm/Multivariate/complexes/CX_SQRT_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_pos' 'hl/thm/calc_num/ARITH_80'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div_pos'#@#variant 'hl/thm/int/INT_LTE_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_odd_2'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_bounded/1'#@#variant 'hl/thm/Multivariate/transcendentals/ARG_/1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_refl' 'hl/thm/realax/TREAL_LE_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_le_compat_l' 'hl/thm/int/INT_LE_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div_0_l' 'hl/thm/arith/MOD_0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftr_opp_r' 'hl/thm/int/INT_SUB_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_asymm' 'hl/thm/real/REAL_LT_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_pred_l' 'hl/thm/int/INT_MUL_LNEG_'
0. 'coq/Coq_PArith_BinPos_Pos_max_le_compat_r' 'hl/thm/Library/analysis/LESS_MONO_ADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pow_lt_mono_r'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LT_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_shiftl_1_l'#@#variant 'hl/thm/int/INT_NEG_MINUS1_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_1_r'#@#variant 'hl/thm/arith/ADD1_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_succ_inj_wd' 'hl/thm/calc_num/ARITH_48'
0. 'coq/Coq_ZArith_BinInt_Z_sub_succ_l' 'hl/thm/Multivariate/transcendentals/RPOW_INV_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_add_lt_sub_r' 'hl/thm/int/INT_LT_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_glb' 'hl/thm/Library/integer/INT_DIVIDES_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_le_mono_r' 'hl/thm/realax/NADD_LE_RADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_inj_wd' 'hl/thm/Multivariate/transcendentals/ATN_INJ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lcm_1_l'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lt_nge' 'hl/thm/realarith/REAL_NOT_LT_'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_pred' 'hl/thm/Complex/complex_transc/CX_CSIN_'
0. 'coq/Coq_NArith_BinNat_N_double_spec' 'hl/thm/real/REAL_SUB_LZERO_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lxor_0_l' 'hl/thm/arith/ADD_CLAUSES_0'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_iff' 'hl/thm/Complex/complexnumbers/CX_INJ_'
0. 'coq/Coq_Reals_Rtrigo_calc_sin_lb_ge_0'#@#variant 'hl/thm/Multivariate/transcendentals/SIN_POS_PI_LE_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_le_sub_le_add_r' 'hl/thm/real/REAL_LT_ADD_SUB_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lcm_1_l'#@#variant 'hl/thm/int/INT_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_inj_wd' 'hl/thm/Library/transc/REAL_EXP_INJ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_le_iff' 'hl/thm/int/INT_LT_MAX_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_alt_dichotomy' 'hl/thm/realax/REAL_LE_TOTAL_'
0. 'coq/Coq_PArith_BinPos_Pos_add_cancel_r' 'hl/thm/calc_int/REAL_EQ_ADD_RCANCEL_'
0. 'coq/Coq_FSets_FSetPositive_PositiveSet_eq_refl' 'hl/thm/realax/NADD_LE_REFL_'
0. 'coq/Coq_ZArith_Zorder_Zlt_0_le_0_pred'#@#variant 'hl/thm/Library/pratt/PHI_LOWERBOUND_2_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_le_refl' 'hl/thm/Library/prime/DIVIDES_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_div_le_mono'#@#variant 'hl/thm/int/INT_LE_RMUL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ldiff_m1_l'#@#variant 'hl/thm/int/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_nle' 'hl/thm/realax/real_lt_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_gcd_divide_l' 'hl/thm/int/INT_MIN_MIN_/0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_succ_r' 'hl/thm/arith/ADD_SUC_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_refl' 'hl/thm/Multivariate/misc/GE_REFL_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_divide_refl' 'hl/thm/Library/prime/DIVIDES_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_inj_wd' 'hl/thm/Complex/complexnumbers/CNJ_INJ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_mod_idemp_l' 'hl/thm/arith/MOD_EXP_MOD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_null_iff' 'hl/thm/int/INT_SGN_INEQS_9'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_0_r' 'hl/thm/calc_int/REAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_1_r' 'hl/thm/Library/prime/INDEX_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LE_'
0. 'coq/Coq_ZArith_Zeven_Zodd_pred' 'hl/thm/Library/transc/REAL_EXP_LT_1_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qinv_lt_0_compat'#@#variant 'hl/thm/nums/NUM_REP_RULES_1'
0. 'coq/Coq_Arith_PeanoNat_Nat_max_lub_iff' 'hl/thm/int/INT_MAX_LT_'
0. 'coq/Coq_Arith_EqNat_eq_eq_nat' 'hl/thm/int/INT_EQ_IMP_LE_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_1_l' 'hl/thm/realax/REAL_MUL_LID_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_lt_mono_pos_r'#@#variant 'hl/thm/real/REAL_LT_DIV2_EQ_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pow_le_mono_l' 'hl/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zplus_lt_compat_r' 'hl/thm/Library/prime/LESS_MONO_ADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_sub' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_ADD_'
0. 'coq/Coq_ZArith_Zorder_Zmult_le_compat'#@#variant 'hl/thm/Library/analysis/REAL_LT_MUL2_ALT_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_le_refl' 'hl/thm/Library/integer/INT_DIVIDES_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_abs_0_iff' 'hl/thm/real/REAL_INV_EQ_1_'#@#variant
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_incr' 'hl/thm/Multivariate/complexes/IM_CNJ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_succ_inj_wd' 'hl/thm/Library/prime/CANCEL_TIMES2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pred_div2_up' 'hl/thm/Multivariate/complexes/IM_CNJ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_setbit_spec_prime'#@#variant 'hl/thm/real/REAL_SUB_RNEG_'
0. 'coq/Coq_ZArith_BinInt_Z_lxor_m1_l'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_LZERO_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_rem_idemp_l' 'hl/thm/arith/MOD_EXP_MOD_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_digits/0'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_eq_mul_0' 'hl/thm/real/REAL_DIV_EQ_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div2_nonneg'#@#variant 'hl/thm/calc_num/ARITH_40'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_shuffle3' 'hl/thm/realax/HREAL_ADD_AC_2'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_square' 'hl/thm/Complex/complex_transc/CX_CCOS_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_divide_refl' 'hl/thm/int/INT_LE_REFL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_cancel_l' 'hl/thm/calc_int/REAL_EQ_ADD_LCANCEL_'
0. 'coq/Coq_QArith_Qround_Qfloor_Z' 'hl/thm/Multivariate/vectors/LIFT_DROP_0'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_le_compat_r' 'hl/thm/realax/HREAL_LE_MUL_RCANCEL_IMP_'
0. 'coq/Coq_Reals_AltSeries_PI_tg_pos'#@#variant 'hl/thm/realarith/REAL_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_le_mono_r' 'hl/thm/int/INT_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_le_mono_l' 'hl/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lxor_0_l' 'hl/thm/arith/MULT_CLAUSES_2'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_div_norm' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_TRIANGLE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_divide_l' 'hl/thm/int/INT_MIN_MIN_/0'
0. 'coq/Coq_Arith_EqNat_eq_nat_refl' 'hl/thm/Library/prime/DIVIDES_REFL_'
0. 'coq/Coq_NArith_BinNat_N_mul_divide_cancel_l' 'hl/thm/Library/prime/DIVIDES_LMUL2_EQ_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_div2_double'#@#variant 'hl/thm/Multivariate/transcendentals/CSIN_CASN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_opp_l' 'hl/thm/Multivariate/transcendentals/REAL_INV_RPOW_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_pow' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_nle_gt' 'hl/thm/int/INT_NOT_LE_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_wB_pos'#@#variant 'hl/thm/Multivariate/transcendentals/PI2_BOUNDS_1'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pred_le_mono' 'hl/thm/realax/NADD_INV_WELLDEF_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_odd_2'#@#variant 'hl/thm/nums/ZERO_DEF_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lor_0_l' 'hl/thm/realax/REAL_MUL_LID_'#@#variant
0. 'coq/Coq_Reals_Exp_prop_exp_pos_pos'#@#variant 'hl/thm/Library/floor/RATIONAL_ABS_'
0. 'coq/Coq_Reals_SeqProp_cv_cvabs' 'hl/thm/Library/analysis/SER_NEG_'
0. 'coq/Coq_Reals_Rtrigo1_PI_neq0' 'hl/thm/Library/analysis/REAL_10_'#@#variant
0. 'coq/Coq_Init_Datatypes_CompOpp_involutive' 'hl/thm/Multivariate/complexes/CNJ_CNJ_'#@#variant
0. 'coq/Coq_ZArith_Znat_Zabs2N_inj_0' 'hl/thm/Multivariate/complexes/IM_II_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_min_glb_lt_iff' 'hl/thm/real/REAL_LT_MIN_'
0. 'coq/Coq_NArith_Ndist_Nplength_ultra' 'hl/thm/realax/NADD_OF_NUM_ADD_'
0. 'coq/Coq_QArith_Qcanon_Qcnot_le_lt' 'hl/thm/int/INT_LTE_TOTAL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_pred_l' 'hl/thm/arith/ADD_CLAUSES_2'
0. 'coq/Coq_Arith_EqNat_eq_nat_refl' 'hl/thm/Library/integer/INT_DIVIDES_REFL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_succ_r_prime' 'hl/thm/arith/EXP_1'
0. 'coq/Coq_fourier_Fourier_util_Rfourier_eqLR_to_le' 'hl/thm/realax/TREAL_EQ_AP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_nge' 'hl/thm/Library/analysis/real_le_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_lor' 'hl/thm/Complex/complex_transc/CEXP_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_quot_same'#@#variant 'hl/thm/arith/DIV_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_glb_lt_iff' 'hl/thm/real/REAL_LT_MIN_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_nonneg_nonpos'#@#variant 'hl/thm/real/REAL_NEG_GE0_'#@#variant
0. 'coq/Coq_Init_Peano_plus_n_Sm' 'hl/thm/calc_int/REAL_MUL_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_nonneg_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LE_'#@#variant
0. 'coq/Coq_Reals_Rfunctions_R_dist_eq' 'hl/thm/arith/SUB_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_le_mono_l' 'hl/thm/realax/HREAL_LE_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_shuffle3' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_AC_2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_sub_r' 'hl/thm/Complex/cpoly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_move_0_l' 'hl/thm/int/INT_RNEG_UNIQ_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_1_l'#@#variant 'hl/thm/int/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_divide_cancel_l' 'hl/thm/Library/integer/INT_DIVIDES_LMUL2_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_diag' 'hl/thm/int/INT_MIN_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_antisym' 'hl/thm/Library/analysis/LESS_EQUAL_ANTISYM_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_1_l' 'hl/thm/Library/prime/DIVIDES_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_nle_gt' 'hl/thm/int/INT_NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_inj_wd' 'hl/thm/Multivariate/vectors/SQRT_INJ_'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_pred' 'hl/thm/Complex/complexnumbers/CX_INV_'
0. 'coq/Coq_ZArith_BinInt_Z_sgn_nonneg'#@#variant 'hl/thm/Library/floor/FLOOR_POS_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_le_mono_l' 'hl/thm/real/REAL_LE_LADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_succ_pred_double' 'hl/thm/nums/BIT1_DEF_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lcm_0_r' 'hl/thm/Library/pocklington/ORDER_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_glb' 'hl/thm/Library/integer/INT_DIVIDES_SUB_'
0. 'coq/Coq_Numbers_BigNumPrelude_Zlt0_not_eq'#@#variant 'hl/thm/arith/LE_1_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_divide_mono_r' 'hl/thm/Library/prime/DIVIDES_MUL_R_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_pos'#@#variant 'hl/thm/Library/pratt/PHI_LOWERBOUND_2_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qmult_lt_compat_r'#@#variant 'hl/thm/int/INT_LE_RMUL_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_lt_mono_pos_l'#@#variant 'hl/thm/Library/analysis/REAL_LE_LMUL_LOCAL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_le_compat_r' 'hl/thm/Library/prime/LESS_MONO_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_0_iff' 'hl/thm/real/REAL_INV_EQ_1_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_gt_cases' 'hl/thm/arith/LTE_CASES_'
0. 'coq/Coq_PArith_BinPos_Pos_min_le_compat_r' 'hl/thm/realax/HREAL_LE_MUL_RCANCEL_IMP_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_glb_lt_iff' 'hl/thm/int/INT_LE_MIN_'
0. 'coq/Coq_ZArith_Zorder_Zeq_plus_swap' 'hl/thm/real/REAL_EQ_SUB_RADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_le_compat_r' 'hl/thm/Library/prime/DIVIDES_EXP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_opp' 'hl/thm/Complex/complex_transc/CCOS_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_id' 'hl/thm/real/REAL_MIN_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_opp' 'hl/thm/calc_num/ARITH_2'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_pred_l' 'hl/thm/int/INT_NEG_LMUL_'
0. 'coq/Coq_ZArith_BinInt_Z_opp_succ' 'hl/thm/Multivariate/transcendentals/REAL_EXP_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_le_mono_r' 'hl/thm/realax/NADD_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_succ_diag_r' 'hl/thm/real/REAL_ABS_LE_'
0. 'coq/Coq_NArith_BinNat_N_pow_lt_mono_r_iff'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LE_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_1_r' 'hl/thm/arith/SUB_0'
0. 'coq/Coq_Sets_Powerset_Union_minimal' 'hl/thm/Multivariate/vectors/ORTHOGONAL_CLAUSES_9'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_sub_le_add_r' 'hl/thm/real/REAL_LT_SUB_LADD_'
0. 'coq/Coq_ZArith_BinInt_Z_log2_null'#@#variant 'hl/thm/real/REAL_SGN_EQ_2'#@#variant
0. 'coq/Coq_NArith_BinNat_N_succ_double_add' 'hl/thm/calc_num/ARITH_17'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_lor' 'hl/thm/Complex/complex_transc/CEXP_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_lt_mono_l_iff' 'hl/thm/Library/prime/DIVIDES_EXP2_EQ_'#@#variant
0. 'coq/Coq_Reals_R_sqrt_sqrt_positivity'#@#variant 'hl/thm/Multivariate/transcendentals/REAL_TAN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_le_mono_r_iff'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LE_EQ_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ones_equiv'#@#variant 'hl/thm/nums/BIT1_DEF_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_odd_sub' 'hl/thm/int/INT_OF_NUM_SUB_'
0. 'coq/Coq_Init_Peano_plus_Sn_m' 'hl/thm/Multivariate/transcendentals/RPOW_INV_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_le_mono_l' 'hl/thm/Library/prime/LESS_MONO_ADD_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_opp' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_INV_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_lt_mono_pos_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LT_EQ_'#@#variant
0. 'coq/Coq_fourier_Fourier_util_Rle_zero_1' 'hl/thm/Multivariate/transcendentals/PI2_BOUNDS_1'#@#variant
0. 'coq/Coq_Reals_RIneq_Req_ge' 'hl/thm/realax/TREAL_EQ_AP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_le_mono' 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Reals_RIneq_Ropp_0_ge_le_contravar'#@#variant 'hl/thm/Library/pocklington/PHI_LOWERBOUND_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_le_mono_r' 'hl/thm/arith/LT_LMULT_'#@#variant
0. 'coq/Coq_ZArith_Zsqrt_compat_Zsqrt_plain_is_pos'#@#variant 'hl/thm/Library/pocklington/PHI_LOWERBOUND_1_STRONG_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_xI_succ_xO' 'hl/thm/nums/BIT1_DEF_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_le_compat_r' 'hl/thm/arith/EXP_MONO_LE_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_le_compat_r' 'hl/thm/Library/prime/LESS_MONO_ADD_'
0. 'coq/Coq_QArith_Qround_Zdiv_Qdiv' 'hl/thm/int/int_sub_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_le_mono' 'hl/thm/Library/transc/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_succ_le' 'hl/thm/Library/floor/FLOOR_DOUBLE_/0'#@#variant
0. 'coq/Coq_ZArith_BinInt_Zpred_succ' 'hl/thm/Multivariate/transcendentals/CCOS_CACS_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_eq_add_0' 'hl/thm/arith/ADD_EQ_0_'#@#variant
0. 'coq/Coq_MMaps_MMapPositive_PositiveMap_lt_rev_append' 'hl/thm/realax/TREAL_LE_LADD_IMP_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_le_compat_l' 'hl/thm/realax/TREAL_LE_LADD_IMP_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_le_mono' 'hl/thm/Library/transc/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_lub_r' 'hl/thm/Library/prime/DIVIDES_LMUL2_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_le_compat_r' 'hl/thm/arith/EXP_MONO_LE_IMP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div_le_mono' 'hl/thm/arith/EXP_MONO_LT_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_0_l' 'hl/thm/int/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LE_'
0. 'coq/Coq_NArith_BinNat_N_log2_le_mono' 'hl/thm/Library/floor/FLOOR_MONO_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_even_0' 'hl/thm/nums/ZERO_DEF_'
0. 'coq/Coq_ZArith_BinInt_Z_min_glb_lt' 'hl/thm/Library/integer/INT_DIVIDES_SUB_'
0. 'coq/Coq_QArith_QArith_base_Qnot_lt_le' 'hl/thm/int/INT_LTE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_1_l'#@#variant 'hl/thm/arith/LE_0_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zsucc_lt_compat' 'hl/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_lub_iff' 'hl/thm/int/INT_MAX_LT_'
0. 'coq/Coq_QArith_QArith_base_Qmult_le_l'#@#variant 'hl/thm/int/INT_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_divide_mono_r' 'hl/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_DecidableTypeEx_Z_as_DT_lt_not_eq' 'hl/thm/int/INT_LT_IMP_NE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_lt_lin'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_LT_X_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lxor_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_add_lt_sub_r' 'hl/thm/int/INT_LT_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_pos_r'#@#variant 'hl/thm/int/INT_LT_RMUL_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_le_incl' 'hl/thm/realax/NADD_EQ_IMP_LE_'
0. 'coq/Coq_NArith_BinNat_N_lor_0_l' 'hl/thm/realax/HREAL_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_pos'#@#variant 'hl/thm/real/REAL_SGN_INEQS_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div2_nonneg' 'hl/thm/real/REAL_SGN_INEQS_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_even_1'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pred_succ' 'hl/thm/arith/PRE_1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_mul_below' 'hl/thm/real/REAL_SUB_ABS_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_lt_mono_r' 'hl/thm/realax/HREAL_LE_ADD_RCANCEL_'
0. 'coq/Coq_Reals_RIneq_Rplus_ne/1' 'hl/thm/int/INT_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_0_iff' 'hl/thm/real/REAL_NEG_EQ_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_lt_mono_r' 'hl/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_ZArith_BinInt_Z_ones_equiv'#@#variant 'hl/thm/nums/BIT1_DEF_'
0. 'coq/Coq_Reals_RIneq_Rle_refl' 'hl/thm/Library/prime/DIVIDES_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_double'#@#variant 'hl/thm/Library/transc/LN_INV_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_le_iff' 'hl/thm/int/INT_LT_MAX_'
0. 'coq/Coq_Arith_Max_max_idempotent' 'hl/thm/real/REAL_MIN_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_glb_lt_iff' 'hl/thm/int/INT_LE_MIN_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_lt_mono_r' 'hl/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_ZArith_BinInt_Z_add_le_mono_l' 'hl/thm/real/REAL_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div2_double' 'hl/thm/Library/transc/ATN_TAN_'
0. 'coq/Coq_PArith_BinPos_Pos_add_le_mono_r' 'hl/thm/arith/LE_ADD_RCANCEL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_pred_sub' 'hl/thm/arith/ADD1_'#@#variant
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_incr' 'hl/thm/Multivariate/transcendentals/CX_EXP_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_max_le_compat_r' 'hl/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_le_mono_l' 'hl/thm/Library/analysis/LESS_MONO_ADD_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_lt' 'hl/thm/int/int_ge_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_shuffle3' 'hl/thm/int/INT_MUL_AC_2'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_mod' 'hl/thm/arith/MOD_ADD_MOD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_divide_iff' 'hl/thm/real/REAL_LT_MIN_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_0_l' 'hl/thm/realax/REAL_ADD_LID_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_le_ngt' 'hl/thm/realax/real_lt_'
0. 'coq/Coq_ZArith_BinInt_Z_ldiff_land' 'hl/thm/Complex/complexnumbers/complex_sub_'
0. 'coq/Coq_Init_Peano_plus_n_Sm' 'hl/thm/int/INT_NEG_RMUL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lcm_divide_iff' 'hl/thm/int/INT_MAX_LE_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_divide_mono_l' 'hl/thm/realax/NADD_LE_LMUL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_2' 'hl/thm/Library/transc/SQRT_0_'
0. 'coq/Coq_NArith_BinNat_N_divide_sub_r' 'hl/thm/Library/prime/DIVIDES_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lcm_diag' 'hl/thm/arith/BIT0_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_1' 'hl/thm/arith/PRE_0'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_le_mono' 'hl/thm/Library/transc/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_ZArith_BinInt_Z_mod_1_r'#@#variant 'hl/thm/arith/EXP_0'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_l' 'hl/thm/realax/NADD_MUL_WELLDEF_LEMMA_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_land' 'hl/thm/Multivariate/transcendentals/REAL_EXP_SUB_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lcm_1_l'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_inj_wd' 'hl/thm/nums/IND_SUC_INJ_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_opp_r' 'hl/thm/Multivariate/complexes/complex_div_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_nge' 'hl/thm/int/INT_NOT_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_opp_r' 'hl/thm/int/INT_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_opp_r' 'hl/thm/realax/real_sub_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_succ_inj_wd' 'hl/thm/Library/transc/ATN_INJ_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_lt_trans' 'hl/thm/realarith/REAL_LET_TRANS_'
0. 'coq/Coq_Reals_Ratan_pos_opp_lt'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_LE_X_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_pos'#@#variant 'hl/thm/Library/transc/ATN_POS_LT_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_le_mono_r' 'hl/thm/arith/LT_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_nle' 'hl/thm/int/INT_NOT_LT_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_opp' 'hl/thm/Multivariate/complexes/CX_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_move_r' 'hl/thm/int/INT_EQ_SUB_LADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_odd_2'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_lt_mono_l' 'hl/thm/realax/HREAL_LE_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_le_compat_l' 'hl/thm/realax/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Reals_RIneq_Ropp_Ropp_IZR' 'hl/thm/int/int_abs_th_'
0. 'coq/Coq_ZArith_BinInt_Z_lor_0_l' 'hl/thm/realax/REAL_MUL_LID_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_max_le_iff' 'hl/thm/real/REAL_LE_MAX_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_1_mul_pos'#@#variant 'hl/thm/int/INT_LTE_ADD_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lcm_diag' 'hl/thm/arith/MULT_2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_1' 'hl/thm/Library/pratt/PHI_0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_add_le_sub_r' 'hl/thm/real/REAL_LT_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_ge_cases' 'hl/thm/realax/TREAL_LE_TOTAL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_neg_pos'#@#variant 'hl/thm/int/INT_NEG_LT0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lxor_nilpotent' 'hl/thm/real/REAL_SUB_REFL_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_2' 'hl/thm/Multivariate/transcendentals/ATN_0_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_inv_norm' 'hl/thm/Library/floor/INTEGER_CLOSED_6'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div2_nonneg' 'hl/thm/real/REAL_SGN_INEQS_3'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_even_1'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_0_l' 'hl/thm/arith/ADD_CLAUSES_0'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_pos'#@#variant 'hl/thm/Library/pocklington/EVEN_PHI_'#@#variant
0. 'coq/Coq_Reals_Rpower_ln_Rinv'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_INV_'#@#variant
0. 'coq/Coq_Reals_Rpower_exp_le_3'#@#variant 'hl/thm/Library/transc/COS_2_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_rem_idemp_r' 'hl/thm/arith/MOD_MULT_RMOD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_lt_iff' 'hl/thm/real/REAL_LT_MAX_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_shuffle3' 'hl/thm/Multivariate/complexes/COMPLEX_MUL_AC_2'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_nonneg_r'#@#variant 'hl/thm/real/REAL_LE_RMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_le_mono_l' 'hl/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pred_le_mono' 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Bool_Bool_xorb_false_l' 'hl/thm/realax/REAL_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_le_iff' 'hl/thm/real/REAL_LE_MAX_'
0. 'coq/Coq_PArith_BinPos_Pos_add_cancel_r' 'hl/thm/arith/EQ_ADD_RCANCEL_'
0. 'coq/Coq_PArith_BinPos_Pos_lt_le_incl' 'hl/thm/realarith/REAL_LT_IMP_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_sub' 'hl/thm/real/REAL_SUB_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_trichotomy' 'hl/thm/Library/analysis/LESS_LESS_CASES_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_refl' 'hl/thm/realax/TREAL_LE_REFL_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_le_mono' 'hl/thm/Multivariate/transcendentals/ATN_MONO_LT_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_gt' 'hl/thm/int/num_divides_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_le_mono_l' 'hl/thm/Library/analysis/LESS_MONO_ADD_'
0. 'coq/Coq_ZArith_BinInt_Z_abs_0_iff' 'hl/thm/int/INT_ABS_ZERO_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_0_2' 'hl/thm/Library/transc/PI2_BOUNDS_1'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_lt_mono_pos_l'#@#variant 'hl/thm/Library/analysis/REAL_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_Bool_Bool_negb_andb' 'hl/thm/Library/transc/REAL_EXP_ADD_'
0. 'coq/Coq_ZArith_BinInt_Zminus_succ_l' 'hl/thm/calc_int/REAL_MUL_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_lnot_diag'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_RINV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_ldiff_diag' 'hl/thm/int/INT_SUB_REFL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_le_compat_r' 'hl/thm/realax/HREAL_LE_MUL_RCANCEL_IMP_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_0_1' 'hl/thm/Library/transc/PI2_BOUNDS_1'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_le' 'hl/thm/int/int_ge_'
0. 'coq/Coq_Reals_Rpower_exp_Ropp' 'hl/thm/calc_num/ARITH_5'
0. 'coq/Coq_ZArith_Zorder_Zplus_lt_compat_l' 'hl/thm/realax/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Reals_RIneq_Rplus_lt_le_0_compat'#@#variant 'hl/thm/int/INT_LTE_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_le_mono' 'hl/thm/realax/NADD_INV_WELLDEF_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_div2' 'hl/thm/Complex/complexnumbers/CX_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_1_r'#@#variant 'hl/thm/Library/pocklington/ORDER_1_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_refl' 'hl/thm/realax/TREAL_LE_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_land_m1_l'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_le_mono_r' 'hl/thm/realax/NADD_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_lub_r' 'hl/thm/Library/integer/INT_DIVIDES_LMUL2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_0_iff' 'hl/thm/int/INT_NEG_EQ_0_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Ropp_Rmin' 'hl/thm/Multivariate/transcendentals/REAL_EXP_ADD_'
0. 'coq/Coq_PArith_BinPos_Pos_le_min_l' 'hl/thm/real/REAL_MIN_MIN_/0'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_lt_mono_pos_r'#@#variant 'hl/thm/real/REAL_LE_RMUL_EQ_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_add_lt_sub_r' 'hl/thm/real/REAL_LT_ADD_SUB_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_shuffle3' 'hl/thm/arith/ADD_AC_2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_le_trans' 'hl/thm/int/INT_LTE_TRANS_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_min_l' 'hl/thm/int/INT_MIN_MIN_/0'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_sub' 'hl/thm/int/INT_SUB_ADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mod_le' 'hl/thm/arith/DIV_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div2_nonneg'#@#variant 'hl/thm/real/REAL_LT_INV_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_odd_2'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_divide_mono_r' 'hl/thm/realax/NADD_LE_RMUL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_lt_mono_r' 'hl/thm/realax/NADD_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftr_opp_r' 'hl/thm/realax/real_sub_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_cancel_r' 'hl/thm/realax/HREAL_EQ_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_refl' 'hl/thm/Multivariate/misc/GE_REFL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_gcd_greatest' 'hl/thm/Library/prime/DIVIDES_SUB_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_opp_norm' 'hl/thm/Library/transc/SQRT_POS_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_pos_r'#@#variant 'hl/thm/int/INT_LT_RMUL_EQ_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_le_mono_r' 'hl/thm/realax/NADD_LE_RADD_'
0. 'coq/Coq_PArith_Pnat_Pmult_nat_l_plus_morphism'#@#variant 'hl/thm/Library/poly/POLY_MUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_lt_trans' 'hl/thm/realarith/REAL_LET_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_move_r' 'hl/thm/real/REAL_EQ_SUB_LADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_0_r'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_0_'#@#variant
0. 'coq/Coq_Reals_Rtrigo_calc_sin_3PI2'#@#variant 'hl/thm/Library/transc/TAN_PI4_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_div_same'#@#variant 'hl/thm/arith/DIV_REFL_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_gt_cases' 'hl/thm/int/INT_LET_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_pos_cancel_l'#@#variant 'hl/thm/int/INT_LT_MUL_EQ_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_le_iff' 'hl/thm/real/REAL_LT_MAX_'
0. 'coq/Coq_Reals_RIneq_succ_IZR' 'hl/thm/int/INT_OF_NUM_SUC_'#@#variant
0. 'coq/Coq_ZArith_Znat_Z2Nat_inj_pred' 'hl/thm/Multivariate/transcendentals/CX_EXP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_lt_mono_l' 'hl/thm/realax/HREAL_LE_ADD_LCANCEL_'
0. 'coq/Coq_PArith_BinPos_Pos_min_glb' 'hl/thm/Complex/cpoly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_divide_l' 'hl/thm/real/REAL_MIN_MIN_/0'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_div2' 'hl/thm/int/int_sgn_th_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_pos'#@#variant 'hl/thm/real/REAL_LE_INV_EQ_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_le_mono' 'hl/thm/arith/FACT_MONO_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_divide_l' 'hl/thm/int/INT_MIN_MIN_/0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_clearbit_spec_prime'#@#variant 'hl/thm/Multivariate/complexes/complex_div_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lor_diag' 'hl/thm/int/INT_MAX_ACI_3'
0. 'coq/Coq_Reals_Rminmax_R_max_lub_lt_iff' 'hl/thm/real/REAL_MAX_LT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_max_r' 'hl/thm/real/REAL_MAX_MAX_/1'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_pos'#@#variant 'hl/thm/Library/transc/LN_POS_LT_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_pow2'#@#variant 'hl/thm/Multivariate/transcendentals/EXP_LOG_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_succ_r' 'hl/thm/int/INT_MUL_RNEG_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_le_lin'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_LT_X_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_pos'#@#variant 'hl/thm/Library/floor/INTEGER_NEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_lt_mono_l' 'hl/thm/real/REAL_LT_LADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_1_l' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_succ_diag_r' 'hl/thm/arith/LT_POW2_REFL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_opp' 'hl/thm/Library/transc/ATN_NEG_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_ge' 'hl/thm/int/num_divides_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_lt_mono_r' 'hl/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_pos'#@#variant 'hl/thm/real/REAL_LE_INV_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_lub_lt_iff' 'hl/thm/real/REAL_MAX_LT_'
0. 'coq/Coq_Reals_Rfunctions_pow_R1_Rle' 'hl/thm/int/INT_POW_LE_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_le_lin'#@#variant 'hl/thm/Library/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_shuffle3' 'hl/thm/arith/ADD_AC_2'
0. 'coq/Coq_Reals_ROrderedType_ROrder_not_ge_lt' 'hl/thm/arith/LET_CASES_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_inj_wd' 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_NEG2_'
0. 'coq/Coq_ZArith_Znat_N_nat_Z' 'hl/thm/int/int_of_num_th_'
0. 'coq/Coq_ZArith_BinInt_Z_pow_pos_fold' 'hl/thm/Multivariate/transcendentals/RPOW_POW_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_even_1'#@#variant 'hl/thm/Multivariate/complexes/RE_II_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_succ_l' 'hl/thm/int/INT_MUL_LNEG_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_double_plus_one' 'hl/thm/Complex/complexnumbers/CX_NEG_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_2' 'hl/thm/Library/transc/SQRT_0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_sub_r' 'hl/thm/Complex/cpoly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_min_le_compat_l' 'hl/thm/real/REAL_LT_LADD_IMP_'
0. 'coq/Coq_ZArith_BinInt_Z_le_gt_cases' 'hl/thm/arith/LET_CASES_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_nge' 'hl/thm/Library/analysis/real_le_'
0. 'coq/Coq_Reals_Ranalysis4_Rcontinuity_abs' 'hl/thm/Library/multiplicative/MULTIPLICATIVE_SIGMA_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_pos'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_POS_LT_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qinv_le_0_compat'#@#variant 'hl/thm/Library/floor/RATIONAL_INV_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lor_eq_0_iff' 'hl/thm/arith/ADD_EQ_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_eq_0_gt_0_cases'#@#variant 'hl/thm/Library/analysis/LESS_0_CASES_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_add_succ_l' 'hl/thm/arith/ADD_CLAUSES_2'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_mod' 'hl/thm/arith/MOD_ADD_MOD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_0_l' 'hl/thm/realax/REAL_MUL_LID_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_neq_succ_0' 'hl/thm/Multivariate/transcendentals/REAL_EXP_NZ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_refl' 'hl/thm/Library/prime/DIVIDES_REFL_'
0. 'coq/Coq_Reals_RIneq_Rle_refl' 'hl/thm/int/INT_LE_REFL_'
0. 'coq/Coq_NArith_BinNat_N_min_le_compat_r' 'hl/thm/Library/prime/DIVIDES_MUL_R_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_0_l' 'hl/thm/Library/prime/DIVIDES_1_'#@#variant
0. 'coq/Coq_Arith_Gt_gt_Sn_O' 'hl/thm/Library/transc/ATN_BOUNDS_/1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_inj_wd' 'hl/thm/Multivariate/vectors/SQRT_INJ_'
0. 'coq/Coq_Reals_Raxioms_Rplus_0_l' 'hl/thm/int/INT_ADD_LID_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_min_le_compat_r' 'hl/thm/Library/prime/DIVIDES_EXP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_land_diag' 'hl/thm/int/INT_MAX_ACI_3'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_refl' 'hl/thm/Library/integer/INT_DIVIDES_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div_same'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_DIV_REFL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_quot_le_mono'#@#variant 'hl/thm/int/INT_LE_RMUL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_nonneg'#@#variant 'hl/thm/Library/integer/INT_PRIME_NEG_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_0' 'hl/thm/nums/ZERO_DEF_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_succ' 'hl/thm/Complex/complex_transc/CX_CCOS_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_pred'#@#variant 'hl/thm/real/REAL_OF_NUM_SUC_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_le_mono_l' 'hl/thm/int/INT_LE_LADD_'
0. 'coq/Coq_QArith_Qcanon_Qclt_not_le' 'hl/thm/real/REAL_LET_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_succ_diag_r' 'hl/thm/int/INT_ABS_LE_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_lt' 'hl/thm/int/int_ge_'
0. 'coq/Coq_Reals_RIneq_cond_neg' 'hl/thm/Multivariate/transcendentals/ARG_/1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_lor' 'hl/thm/Library/transc/REAL_EXP_ADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_succ_inj_wd' 'hl/thm/Library/transc/ATN_INJ_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_lt_mono_l' 'hl/thm/real/REAL_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_eq_0_gt_0_cases'#@#variant 'hl/thm/Library/prime/LESS_0_CASES_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_lt_mono_r_iff'#@#variant 'hl/thm/Library/analysis/REAL_LE_LMUL_LOCAL_'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_succ' 'hl/thm/Multivariate/transcendentals/CX_SIN_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_pos'#@#variant 'hl/thm/calc_num/ARITH_44'
0. 'coq/Coq_Reals_Exp_prop_div2_double'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_EXP_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_le_min_l' 'hl/thm/Library/analysis/SUB_LESS_EQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_sub_le_add_r' 'hl/thm/int/INT_LT_ADD_SUB_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_add_r' 'hl/thm/realax/HREAL_LE_ADD_'
0. 'coq/Coq_QArith_Qcanon_Qcnot_lt_le' 'hl/thm/realarith/REAL_LTE_TOTAL_'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_pred' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_INV_'
0. 'coq/Coq_Arith_PeanoNat_Nat_min_glb_lt_iff' 'hl/thm/real/REAL_LT_MIN_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_0' 'hl/thm/Multivariate/complexes/RE_II_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_le_compat_r' 'hl/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_le_mono_r_iff'#@#variant 'hl/thm/real/REAL_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_Bool_Bool_xorb_false_l' 'hl/thm/int/INT_MUL_LID_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_opp_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LNEG_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_divide_iff' 'hl/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_divide_mono_r' 'hl/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_setbit_spec_prime'#@#variant 'hl/thm/int/INT_SUB_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_le_compat_l' 'hl/thm/int/INT_LE_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_double'#@#variant 'hl/thm/Library/transc/LN_INV_'#@#variant
0. 'coq/Coq_QArith_Qminmax_Q_le_max_l' 'hl/thm/realax/NADD_LE_ADD_'
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_Zabs' 'hl/thm/int/int_neg_th_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_pos_nonneg'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_LE_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_nonneg_cancel_r'#@#variant 'hl/thm/real/REAL_LE_MUL_EQ_1'#@#variant
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_succ' 'hl/thm/Multivariate/transcendentals/CX_TAN_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_le_mono' 'hl/thm/Library/transc/ATN_MONO_LT_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_double_size_level' 'hl/thm/Multivariate/transcendentals/CX_SIN_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sub_max_distr_l' 'hl/thm/arith/EXP_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_inj_wd' 'hl/thm/Library/transc/REAL_EXP_INJ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ge_le_iff' 'hl/thm/arith/GE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_2' 'hl/thm/int/INT_ABS_0_'
0. 'coq/Coq_NArith_BinNat_N_lcm_diag' 'hl/thm/int/INT_MAX_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_0_discr' 'hl/thm/Complex/complex_transc/CEXP_NONZERO_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_add_r' 'hl/thm/Complex/cpoly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_mul_1_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_eq_le_incl' 'hl/thm/realax/TREAL_EQ_AP_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rge_refl' 'hl/thm/Library/poly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_min_glb_iff' 'hl/thm/int/INT_LT_MIN_'
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_lcm_r' 'hl/thm/real/REAL_MAX_MAX_/1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ldiff_m1_l'#@#variant 'hl/thm/int/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_add_r' 'hl/thm/Library/integer/INT_DIVIDES_SUB_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_le_mono_r' 'hl/thm/arith/LT_LMULT_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_log2_up_pos'#@#variant 'hl/thm/Library/transc/REAL_EXP_LT_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_divide_mono_l' 'hl/thm/Library/integer/INT_DIVIDES_MUL_L_'
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_eq_0' 'hl/thm/arith/ADD_EQ_0_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qmult_assoc' 'hl/thm/realax/TREAL_MUL_ASSOC_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_le_mono' 'hl/thm/realax/NADD_INV_WELLDEF_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_refl' 'hl/thm/Complex/cpoly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_Reals_Rfunctions_powerRZ_lt'#@#variant 'hl/thm/Multivariate/complexes/REAL_POW_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_pos'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_POS_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_mul_r' 'hl/thm/Library/integer/INT_DIVIDES_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lcm_0_r' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RZERO_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_refl' 'hl/thm/arith/LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_divide_mono_l' 'hl/thm/realax/NADD_LE_LMUL_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_2' 'hl/thm/Multivariate/transcendentals/ASN_0_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_odd_2' 'hl/thm/Multivariate/complexes/IM_II_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_opp' 'hl/thm/Multivariate/transcendentals/CNJ_CEXP_'#@#variant
0. 'coq/Coq_QArith_Qminmax_Q_min_le_compat_r' 'hl/thm/Library/integer/INT_DIVIDES_MUL_R_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_refl' 'hl/thm/realax/HREAL_LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_pred_l' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_LMUL_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_odd_1' 'hl/thm/Multivariate/complexes/IM_II_'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_le' 'hl/thm/int/int_ge_'
0. 'coq/Coq_Arith_PeanoNat_Nat_square_spec' 'hl/thm/Library/analysis/REAL_DOUBLE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_lub_lt_iff' 'hl/thm/int/INT_MAX_LE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_succ_l' 'hl/thm/arith/ADD_CLAUSES_2'
0. 'coq/Coq_PArith_BinPos_Pos_lt_total' 'hl/thm/int/INT_LT_TOTAL_'
0. 'coq/Coq_Reals_R_sqrt_sqrt_lt_R0'#@#variant 'hl/thm/Multivariate/vectors/SQRT_POS_LT_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lcm_1_l' 'hl/thm/realax/HREAL_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_1' 'hl/thm/Library/pocklington/PHI_0_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_irrefl' 'hl/thm/realarith/REAL_LT_REFL_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_odd_0' 'hl/thm/Multivariate/complexes/IM_II_'#@#variant
0. 'coq/Coq_QArith_Qreals_Q2R_opp' 'hl/thm/Multivariate/transcendentals/CX_TAN_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_power_pos' 'hl/thm/Library/floor/RATIONAL_CLOSED_6'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_lt_iff' 'hl/thm/real/REAL_MIN_LE_'
0. 'coq/Coq_NArith_Ndist_ni_le_total' 'hl/thm/int/INT_LE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_shuffle3' 'hl/thm/int/INT_MUL_AC_2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_lcm_l' 'hl/thm/int/INT_MAX_MAX_/0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_lt_mono_r_iff'#@#variant 'hl/thm/real/REAL_LE_LMUL_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_le_mono_r' 'hl/thm/arith/LE_ADD_RCANCEL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_le_incl' 'hl/thm/arith/LT_IMP_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_le_lin'#@#variant 'hl/thm/Library/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_min_r' 'hl/thm/real/REAL_MIN_MIN_/1'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_square' 'hl/thm/Complex/complexnumbers/CX_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_lt_mono_r'#@#variant 'hl/thm/int/INT_LE_LMUL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Zminus_succ_l' 'hl/thm/int/INT_MUL_LNEG_'
0. 'coq/Coq_Bool_Bool_negb_involutive_reverse' 'hl/thm/Complex/complexnumbers/CNJ_CNJ_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_2' 'hl/thm/Library/transc/ATN_0_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_cancel_r' 'hl/thm/realax/HREAL_EQ_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_add_r' 'hl/thm/int/INT_MAX_MAX_/0'
0. 'coq/Coq_Arith_Factorial_fact_le' 'hl/thm/realax/NADD_INV_WELLDEF_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_lt_mono_r' 'hl/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lcm_1_l'#@#variant 'hl/thm/realax/REAL_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lcm_divide_iff' 'hl/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_NArith_BinNat_N_sub_0_le' 'hl/thm/arith/SUB_EQ_0_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_nle' 'hl/thm/int/INT_NOT_LE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_even_2'#@#variant 'hl/thm/nums/ZERO_DEF_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div2_nonneg'#@#variant 'hl/thm/Library/transc/ATN_POS_LT_'#@#variant
0. 'coq/Coq_Reals_Ratan_atan_right_inv' 'hl/thm/arith/PRE_1'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_succ_l' 'hl/thm/Multivariate/transcendentals/REAL_ABS_RPOW_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lcm_1_l'#@#variant 'hl/thm/realarith/REAL_POLY_NEG_CLAUSES_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_factor_l' 'hl/thm/realax/NADD_LE_ADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_sub_distr_r' 'hl/thm/realax/NADD_RDISTRIB_'
0. 'coq/Coq_NArith_BinNat_N_divide_add_r' 'hl/thm/Library/integer/INT_DIVIDES_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_nge' 'hl/thm/int/INT_NOT_LT_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_lub_iff' 'hl/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_of_Z' 'hl/thm/Multivariate/vectors/LIFT_DROP_1'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qcle_not_lt' 'hl/thm/arith/LTE_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_succ_inj_wd' 'hl/thm/Library/transc/ATN_INJ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div2_succ_double' 'hl/thm/Library/transc/ATN_TAN_'
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_2' 'hl/thm/Multivariate/misc/SQRT_0_'
0. 'coq/Coq_NArith_BinNat_N_min_lt_iff' 'hl/thm/int/INT_MIN_LE_'
0. 'coq/Coq_PArith_BinPos_Pos_succ_pred_double' 'hl/thm/nums/BIT1_DEF_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_refl' 'hl/thm/Library/prime/DIVIDES_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lor_diag' 'hl/thm/int/INT_MAX_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_max_l' 'hl/thm/realax/NADD_LE_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_succ_l' 'hl/thm/int/INT_NEG_LMUL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_div_same'#@#variant 'hl/thm/real/REAL_DIV_REFL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_pos'#@#variant 'hl/thm/Library/floor/RATIONAL_NEG_EQ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_le_mono' 'hl/thm/Library/transc/ATN_MONO_LT_'
0. 'coq/Coq_PArith_BinPos_Pos_gt_lt_iff' 'hl/thm/int/INT_GT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_ldiff_diag' 'hl/thm/arith/SUB_REFL_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lt_lt_add_r' 'hl/thm/Library/integer/INT_DIVIDES_RMUL_'
0. 'coq/Coq_Reals_Rtrigo1_tan_neg' 'hl/thm/Multivariate/transcendentals/TAN_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_cancel_l' 'hl/thm/realax/HREAL_EQ_ADD_LCANCEL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_le_mono_l' 'hl/thm/realax/HREAL_LE_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_1_l' 'hl/thm/arith/ADD_CLAUSES_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_succ_le' 'hl/thm/Library/floor/FLOOR_DOUBLE_/0'#@#variant
0. 'coq/Coq_Bool_Bool_negb_prop_classical' 'hl/thm/realarith/REAL_LE_NEGTOTAL_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lxor_0_l' 'hl/thm/int/INT_MUL_LID_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_even_1'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_eq_0' 'hl/thm/Complex/complexnumbers/COMPLEX_ENTIRE_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_xO'#@#variant 'hl/thm/int/int_neg_th_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lcm_1_r' 'hl/thm/arith/SUB_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_max_l' 'hl/thm/real/REAL_MAX_MAX_/0'
0. 'coq/__constr_Coq_Arith_Even_even_1_1' 'hl/thm/Library/pratt/PHI_LOWERBOUND_2_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_le_nlt' 'hl/thm/int/INT_NOT_LE_'
0. 'coq/Coq_ZArith_BinInt_Z_add_le_mono_l' 'hl/thm/realax/HREAL_LE_ADD_LCANCEL_'
0. 'coq/Coq_Reals_RIneq_Rmult_ne/1' 'hl/thm/arith/MULT_CLAUSES_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pos_pred_succ' 'hl/thm/Complex/complexnumbers/complex_tybij_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_odd_0' 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_succ_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LNEG_'
0. 'coq/Coq_Reals_Rbasic_fun_Rle_min_compat_r' 'hl/thm/Library/integer/INT_DIVIDES_MUL_R_'
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_pos' 'hl/thm/real/REAL_SGN_INEQS_3'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_nonneg' 'hl/thm/Multivariate/transcendentals/ATN_BOUNDS_/0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_0_r'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_0_'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_succ' 'hl/thm/Complex/complexnumbers/CX_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_ge_le_iff' 'hl/thm/realax/real_gt_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pred_succ' 'hl/thm/Library/transc/ATN_/2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_eq_le_incl' 'hl/thm/arith/EQ_IMP_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_le_mono_r' 'hl/thm/realax/HREAL_LE_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lor_0_l' 'hl/thm/arith/MULT_CLAUSES_2'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_lt_mono_r' 'hl/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_1_l'#@#variant 'hl/thm/Library/integer/INT_DIVIDES_1_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zle_0_nat'#@#variant 'hl/thm/Multivariate/transcendentals/ARG_/0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_glb' 'hl/thm/Library/integer/INT_DIVIDES_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_1_r'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RZERO_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_shuffle3' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_AC_2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_land_m1_l'#@#variant 'hl/thm/arith/ADD_CLAUSES_0'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lcm_diag' 'hl/thm/Library/analysis/REAL_DOUBLE_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_lt_mono_l' 'hl/thm/arith/LE_ADD_LCANCEL_'
0. 'coq/Coq_NArith_BinNat_N_pred_le_mono' 'hl/thm/Library/floor/FLOOR_MONO_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_iff' 'hl/thm/realax/HREAL_OF_NUM_EQ_'
0. 'coq/Coq_Reals_RIneq_Rnot_gt_ge' 'hl/thm/realarith/REAL_LTE_TOTAL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_le_mono_l' 'hl/thm/real/REAL_LT_LADD_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_red' 'hl/thm/Complex/complex_transc/CX_CCOS_'
0. 'coq/Coq_Numbers_Cyclic_DoubleCyclic_DoubleBase_lt_0_wB'#@#variant 'hl/thm/Library/floor/RATIONAL_NUM_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_mod_idemp_l' 'hl/thm/arith/MOD_MULT_LMOD_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_tan_gt_0'#@#variant 'hl/thm/Multivariate/transcendentals/COS_POS_PI2_'#@#variant
0. 'coq/Coq_ZArith_Znat_Z2Nat_inj_0' 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pow_lt_mono_r'#@#variant 'hl/thm/int/INT_LE_LMUL_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_lub_iff' 'hl/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_NArith_BinNat_N_log2_pow2'#@#variant 'hl/thm/Library/transc/EXP_LN_'#@#variant
0. 'coq/Coq_Reals_Ratan_atan_bound/0'#@#variant 'hl/thm/Library/transc/ATN_BOUNDS_/0'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_ge_le_iff' 'hl/thm/arith/GE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_refl' 'hl/thm/realax/REAL_LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_lt_trans' 'hl/thm/realarith/REAL_LET_TRANS_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_succ_l' 'hl/thm/calc_int/REAL_MUL_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_null'#@#variant 'hl/thm/real/REAL_SGN_EQ_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_glb_iff' 'hl/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_min_distr' 'hl/thm/Library/transc/REAL_EXP_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lor_diag' 'hl/thm/int/INT_MIN_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_asymm' 'hl/thm/arith/LT_ANTISYM_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_lt' 'hl/thm/real/REAL_OF_NUM_GT_'
0. 'coq/Coq_PArith_BinPos_Pos_add_le_mono_l' 'hl/thm/arith/LE_ADD_LCANCEL_'
0. 'coq/Coq_Reals_Rsqrt_def_Rsqrt_positivity'#@#variant 'hl/thm/Library/floor/INTEGER_CLOSED_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_le_mono_pos_r'#@#variant 'hl/thm/real/REAL_LT_DIV2_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_total' 'hl/thm/arith/LT_CASES_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_lteq' 'hl/thm/int/INT_LE_LT_'
0. 'coq/Coq_NArith_BinNat_N_max_0_l' 'hl/thm/int/INT_ADD_LID_'#@#variant
0. 'coq/Coq_ZArith_Zpow_facts_Zpower_pos_pos'#@#variant 'hl/thm/Multivariate/complexes/REAL_POW_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_log2_le_lin'#@#variant 'hl/thm/Library/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_null'#@#variant 'hl/thm/real/REAL_SGN_EQ_2'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_divide_mono_l' 'hl/thm/realax/TREAL_LE_LADD_IMP_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_refl' 'hl/thm/Multivariate/misc/GE_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_ldiff_land' 'hl/thm/realax/real_sub_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_nlt_ge' 'hl/thm/Library/analysis/real_le_'
0. 'coq/Coq_Bool_Bool_eqb_negb2' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_RINV_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_odd_0' 'hl/thm/nums/ZERO_DEF_'
0. 'coq/Coq_PArith_BinPos_Pos_add_diag' 'hl/thm/Library/analysis/REAL_DOUBLE_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qinv_le_0_compat'#@#variant 'hl/thm/Library/pocklington/PHI_LOWERBOUND_1_STRONG_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_lt_mono_pos_r'#@#variant 'hl/thm/real/REAL_LE_DIV2_EQ_'#@#variant
0. 'coq/Coq_Reals_R_sqrt_sqrt_le_1_alt' 'hl/thm/arith/FACT_MONO_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_pos_cancel_r'#@#variant 'hl/thm/real/REAL_LT_MUL_EQ_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_0_l' 'hl/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_opp_l' 'hl/thm/arith/ADD_CLAUSES_2'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_0_l' 'hl/thm/arith/MULT_CLAUSES_2'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pos_pred_succ' 'hl/thm/Multivariate/vectors/LIFT_DROP_0'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zsucc_gt_compat' 'hl/thm/Multivariate/vectors/SQRT_MONO_LT_'
0. 'coq/Coq_ZArith_BinInt_Z_min_id' 'hl/thm/int/INT_MAX_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_pred_l' 'hl/thm/Library/pocklington/PHI_LIMIT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_sub_lt_add_r' 'hl/thm/real/REAL_LT_SUB_RADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_lt_mono_l' 'hl/thm/realax/HREAL_LE_ADD_LCANCEL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_le_mono' 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_shuffle3' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_AC_2'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_assoc' 'hl/thm/realax/NADD_ADD_ASSOC_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_0' 'hl/thm/Multivariate/complexes/IM_II_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_pos'#@#variant 'hl/thm/calc_num/ARITH_40'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_divide_mono_l' 'hl/thm/realax/NADD_LE_LMUL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_lt_mono_r'#@#variant 'hl/thm/real/REAL_LE_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_sub_le_add_r' 'hl/thm/real/REAL_LT_SUB_LADD_'
0. 'coq/Coq_Reals_Rfunctions_RPow_abs' 'hl/thm/real/REAL_INV_POW_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sub_1_r'#@#variant 'hl/thm/arith/ADD1_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_lt_mono_l_iff' 'hl/thm/Library/prime/DIVIDES_EXP2_EQ_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_glb_lt' 'hl/thm/Library/prime/DIVIDES_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_pos'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_POS_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_pos_neg'#@#variant 'hl/thm/real/REAL_NEG_GT0_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lor_0_l' 'hl/thm/int/INT_MUL_LID_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_rem' 'hl/thm/arith/MOD_ADD_MOD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pred_succ' 'hl/thm/Multivariate/transcendentals/ATN_TAN_'
0. 'coq/Coq_NArith_BinNat_N_add_shuffle3' 'hl/thm/int/INT_MAX_ACI_2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_setbit_spec_prime'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_RNEG_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_log2_log2_up' 'hl/thm/Multivariate/transcendentals/REAL_EXP_LE_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_cancel_r' 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_ADD_RCANCEL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_divide_mono_l' 'hl/thm/realax/TREAL_LE_LADD_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div2_nonneg' 'hl/thm/calc_num/ARITH_72'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_pos_cancel_r'#@#variant 'hl/thm/Library/floor/INTEGER_SUB_EQ_1'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_add_lt_sub_r' 'hl/thm/int/INT_LT_SUB_RADD_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_lt' 'hl/thm/int/INT_OF_NUM_GT_'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_null'#@#variant 'hl/thm/real/REAL_SGN_EQ_1'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_pred_l' 'hl/thm/Library/pocklington/PHI_LIMIT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_pos'#@#variant 'hl/thm/real/REAL_SGN_INEQS_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_greatest' 'hl/thm/Library/integer/INT_DIVIDES_SUB_'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_T_OMEGA11_stable' 'hl/thm/Library/multiplicative/MULTIPLICATIVE_TAU_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_glb_lt' 'hl/thm/Library/prime/DIVIDES_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_even_2'#@#variant 'hl/thm/Multivariate/complexes/RE_II_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_eq_le_incl' 'hl/thm/int/INT_EQ_IMP_LE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_pred_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LNEG_'
0. 'coq/Coq_Arith_Lt_le_not_lt' 'hl/thm/int/INT_LTE_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_0_iff' 'hl/thm/calc_num/ARITH_52'
0. 'coq/Coq_ZArith_Zorder_Zplus_gt_compat_r' 'hl/thm/realax/NADD_LE_RMUL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_nonneg'#@#variant 'hl/thm/real/REAL_LT_MUL2_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_lt_mono_nonneg'#@#variant 'hl/thm/Library/analysis/REAL_LT_MUL2_ALT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_refl' 'hl/thm/Complex/cpoly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_shuffle3' 'hl/thm/int/INT_MIN_ACI_2'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_gt' 'hl/thm/int/int_ge_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_lcm_l' 'hl/thm/real/REAL_MAX_MAX_/0'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_le' 'hl/thm/real/REAL_OF_NUM_GT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_opp_l' 'hl/thm/arith/ADD_CLAUSES_2'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_odd_0' 'hl/thm/Multivariate/complexes/RE_II_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_glb_lt' 'hl/thm/Library/integer/INT_DIVIDES_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_1_l'#@#variant 'hl/thm/realax/REAL_ADD_LID_'#@#variant
0. 'coq/Coq_ZArith_Zlogarithm_log_inf_correct/0'#@#variant 'hl/thm/Library/floor/INTEGER_CLOSED_0'
0. 'coq/Coq_ZArith_Zlogarithm_log_inf_correct1'#@#variant 'hl/thm/Multivariate/complexes/REAL_CX_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_reg_l' 'hl/thm/real/REAL_EQ_LCANCEL_IMP_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_cancel_r' 'hl/thm/int/INT_LE_RADD_'
0. 'coq/Coq_Reals_Exp_prop_exp_plus' 'hl/thm/Complex/complex_transc/CEXP_SUB_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_divide' 'hl/thm/realax/TREAL_OF_NUM_LE_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_min_l' 'hl/thm/Library/analysis/SUB_LESS_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_eq'#@#variant 'hl/thm/Library/floor/REAL_FLOOR_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_even_2'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant
0. 'coq/Coq_Reals_Ratan_atan_opp' 'hl/thm/Multivariate/vectors/SQRT_INV_'
0. 'coq/Coq_ZArith_BinInt_Z_nle_gt' 'hl/thm/int/INT_LT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_sub_distr' 'hl/thm/real/REAL_SUB_LNEG_'
0. 'coq/Coq_ZArith_BinInt_Z_min_lt_iff' 'hl/thm/int/INT_MIN_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_refl' 'hl/thm/Library/poly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_nonneg' 'hl/thm/int/INT_SGN_INEQS_3'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_tan_diff' 'hl/thm/Multivariate/transcendentals/REAL_ADD_TAN_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_le_refl' 'hl/thm/Complex/cpoly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rle_le_eq' 'hl/thm/Library/prime/DIVIDES_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_neq_succ_0' 'hl/thm/Multivariate/transcendentals/REAL_EXP_NZ_'#@#variant
0. 'coq/Coq_Init_Peano_mult_n_O' 'hl/thm/int/INT_MUL_RZERO_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_divide_refl' 'hl/thm/realax/TREAL_LE_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_divide_l' 'hl/thm/int/INT_MIN_MIN_/0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_succ_l' 'hl/thm/Multivariate/transcendentals/REAL_INV_RPOW_'
0. 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_ge_le_iff' 'hl/thm/arith/GT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_nonneg_cancel_r'#@#variant 'hl/thm/real/REAL_LE_MUL_EQ_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_factor_l' 'hl/thm/realax/HREAL_LE_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_le_compat_r' 'hl/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_square_spec' 'hl/thm/arith/MULT_2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_lt_lin'#@#variant 'hl/thm/Library/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_lt_iff' 'hl/thm/int/INT_MIN_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_le_mono_l' 'hl/thm/int/INT_LE_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_nonneg_l'#@#variant 'hl/thm/real/REAL_LE_LMUL_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rge_gt_trans' 'hl/thm/realarith/REAL_LET_TRANS_'
0. 'coq/Coq_Arith_Minus_minus_diag_reverse' 'hl/thm/real/REAL_SUB_REFL_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_add_lt_sub_r' 'hl/thm/int/INT_LT_ADD_SUB_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_sub' 'hl/thm/int/INT_OF_NUM_SUB_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_ngt' 'hl/thm/int/INT_NOT_LE_'
0. 'coq/Coq_Reals_RIneq_Rplus_ge_gt_compat' 'hl/thm/int/INT_LET_ADD2_'
0. 'coq/Coq_Reals_RIneq_Rnot_lt_le' 'hl/thm/arith/LTE_CASES_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_sub' 'hl/thm/arith/ADD_SUB_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_r' 'hl/thm/Library/prime/DIVIDES_EXP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_0_r' 'hl/thm/int/INT_MUL_RZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_pow_succ_r' 'hl/thm/arith/MULT_SUC_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_l' 'hl/thm/int/INT_LE_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_eq_0' 'hl/thm/real/REAL_DIV_EQ_0_'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_le' 'hl/thm/int/INT_OF_NUM_GT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_mod' 'hl/thm/arith/MOD_ADD_MOD_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_max_lt_iff' 'hl/thm/real/REAL_LT_MAX_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ones_equiv'#@#variant 'hl/thm/nums/BIT1_DEF_'
0. 'coq/Coq_Arith_PeanoNat_Nat_square_spec' 'hl/thm/arith/BIT0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_lxor_l' 'hl/thm/int/INT_MUL_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_pos_nonneg'#@#variant 'hl/thm/realarith/REAL_LTE_ADD_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_of_Qc_bis' 'hl/thm/realarith/REAL_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sub_le_mono_r' 'hl/thm/realax/NADD_LE_RMUL_'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tminus_def_stable' 'hl/thm/Library/multiplicative/MULTIPLICATIVE_SIGMA_'
0. 'coq/Coq_ZArith_Zorder_Zplus_le_compat_r' 'hl/thm/Library/prime/DIVIDES_EXP_'
0. 'coq/Coq_Bool_Bool_negb_orb' 'hl/thm/Library/transc/REAL_EXP_SUB_'
0. 'coq/Coq_PArith_Pnat_Pmult_nat_l_plus_morphism'#@#variant 'hl/thm/Complex/cpoly/POLY_MUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_mul_r' 'hl/thm/Library/integer/INT_DIVIDES_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_nge' 'hl/thm/int/INT_NOT_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftl_mul_pow2'#@#variant 'hl/thm/Multivariate/complexes/complex_div_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_pos'#@#variant 'hl/thm/Library/floor/FLOOR_POS_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_nonneg'#@#variant 'hl/thm/Library/floor/FLOOR_POS_LE_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sub_le_mono_r' 'hl/thm/Library/prime/DIVIDES_EXP_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_ge' 'hl/thm/int/int_ge_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_succ_r' 'hl/thm/arith/LT_SUC_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_odd_2'#@#variant 'hl/thm/Multivariate/complexes/IM_II_'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qcplus_0_l'#@#variant 'hl/thm/arith/MULT_CLAUSES_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_pos'#@#variant 'hl/thm/Library/pratt/PHI_LOWERBOUND_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_refl' 'hl/thm/Complex/cpoly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_le_mono_r' 'hl/thm/int/INT_LE_RADD_'
0. 'coq/Coq_QArith_Qround_Qceiling_Z' 'hl/thm/int/int_abstr_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_shuffle3' 'hl/thm/arith/MULT_AC_2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_pred_l' 'hl/thm/Multivariate/transcendentals/REAL_INV_RPOW_'
0. 'coq/Coq_NArith_BinNat_N_lt_add_lt_sub_r' 'hl/thm/int/INT_LE_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ldiff_m1_l'#@#variant 'hl/thm/int/INT_NEG_MINUS1_'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Topp_mult_r_stable' 'hl/thm/Library/multiplicative/MULTIPLICATIVE_SIGMA_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_1_l' 'hl/thm/arith/SUB_0_/0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_refl' 'hl/thm/realax/HREAL_LE_REFL_'
0. 'coq/Coq_Reals_RIneq_Rinv_le_contravar'#@#variant 'hl/thm/real/REAL_LE_INV2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_land_m1_l'#@#variant 'hl/thm/realax/REAL_MUL_LID_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_pos'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_POS_LT_'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_1'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_nonneg_l'#@#variant 'hl/thm/int/INT_LE_LMUL_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lcm_1_l'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_lcm_l' 'hl/thm/int/INT_MAX_MAX_/0'
0. 'coq/Coq_ZArith_Zeven_Zodd_pred' 'hl/thm/Library/pocklington/EVEN_PHI_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_log2_up_pos'#@#variant 'hl/thm/Library/transc/LN_POS_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_ge_cases' 'hl/thm/realarith/REAL_LET_TOTAL_'
0. 'coq/Coq_ZArith_Zdiv_Zdiv_0_r' 'hl/thm/int/INT_MUL_RZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_lcm_l' 'hl/thm/realax/HREAL_LE_ADD_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_pos'#@#variant 'hl/thm/Library/floor/RATIONAL_NEG_EQ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_diag' 'hl/thm/Library/analysis/REAL_DOUBLE_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_pow_nonneg'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_POS_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_nonneg'#@#variant 'hl/thm/Multivariate/vectors/SQRT_LE_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lcm_1_l' 'hl/thm/Complex/complexnumbers/COMPLEX_POLY_NEG_CLAUSES_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_0_l' 'hl/thm/realax/NADD_LE_0_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_succ_diag_r' 'hl/thm/arith/LT_POW2_REFL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_divide_add_cancel_r' 'hl/thm/Library/poly/POLY_DIVIDES_SUB_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_0_l' 'hl/thm/arith/DIV_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_succ_r' 'hl/thm/arith/LT_SUC_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_pos'#@#variant 'hl/thm/Library/pratt/PHI_LOWERBOUND_2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_lt_add_l' 'hl/thm/Library/integer/INT_DIVIDES_LMUL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_l' 'hl/thm/realax/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_asymm' 'hl/thm/int/INT_LT_ANTISYM_'
0. 'coq/Coq_Reals_Rtrigo1_tan_gt_0'#@#variant 'hl/thm/Multivariate/transcendentals/TAN_POS_PI2_LE_'#@#variant
0. 'coq/Coq_Reals_Rfunctions_pow_mult' 'hl/thm/Complex/complexnumbers/COMPLEX_POW_POW_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_ge_cases' 'hl/thm/realax/NADD_LE_TOTAL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_nonpos' 'hl/thm/int/INT_SGN_INEQS_6'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_1_l' 'hl/thm/arith/MULT_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_pos_cancel_l'#@#variant 'hl/thm/int/INT_LT_MUL_EQ_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_divide_iff' 'hl/thm/int/INT_LE_MIN_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_asymm' 'hl/thm/real/REAL_LT_GT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_alt_dichotomy' 'hl/thm/realax/NADD_LE_TOTAL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_divide_cancel_r' 'hl/thm/Library/integer/INT_DIVIDES_RMUL2_EQ_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_min_le_compat_r' 'hl/thm/Library/prime/LESS_MONO_ADD_'
0. 'coq/Coq_Reals_RIneq_Rmult_eq_reg_l' 'hl/thm/Library/analysis/REAL_EQ_LMUL_IMP_'#@#variant
0. 'coq/Coq_QArith_QOrderedType_QOrder_not_gt_le' 'hl/thm/int/INT_LET_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_alt_dichotomy' 'hl/thm/arith/LE_CASES_'
0. 'coq/Coq_Reals_R_sqrt_sqrt_less_alt'#@#variant 'hl/thm/Library/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_COS_bound/1' 'hl/thm/Library/transc/ATN_BOUNDS_/1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_even_2'#@#variant 'hl/thm/nums/ZERO_DEF_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_iff' 'hl/thm/realax/REAL_OF_NUM_EQ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_le_mono' 'hl/thm/Multivariate/transcendentals/ATN_MONO_LT_'
0. 'coq/Coq_NArith_BinNat_N_sub_le_mono_r' 'hl/thm/realax/HREAL_LE_MUL_RCANCEL_IMP_'
0. 'coq/Coq_MSets_MSetPositive_PositiveSet_E_bits_lt_antirefl' 'hl/thm/realarith/REAL_LT_REFL_'
0. 'coq/Coq_QArith_QArith_base_Qeq_refl' 'hl/thm/Library/poly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rplus_gt_compat_r' 'hl/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_double'#@#variant 'hl/thm/Library/transc/LN_INV_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_min_l' 'hl/thm/real/REAL_MIN_MIN_/0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_factor_r' 'hl/thm/real/REAL_MAX_MAX_/1'
0. 'coq/Coq_ZArith_Znat_Zabs2Nat_id' 'hl/thm/int/int_abstr_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_glb_lt_iff' 'hl/thm/int/INT_LT_MIN_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lcm_eq_0' 'hl/thm/int/INT_ENTIRE_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_1_l'#@#variant 'hl/thm/int/INT_NEG_MINUS1_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_neq_0_succ' 'hl/thm/nums/IND_SUC_0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_abs_r' 'hl/thm/Library/integer/INT_DIVIDES_RABS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_glb_lt' 'hl/thm/Library/prime/DIVIDES_SUB_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_succ_l' 'hl/thm/Multivariate/transcendentals/RPOW_INV_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_eq_1' 'hl/thm/arith/ADD_EQ_0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_succ' 'hl/thm/Multivariate/transcendentals/CCOS_CACS_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_max_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sub_le_mono_r' 'hl/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_lt_le_mono' 'hl/thm/int/INT_LTE_ADD2_'
0. 'coq/Coq_NArith_BinNat_N_max_le_compat_r' 'hl/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_refl' 'hl/thm/Library/integer/INT_DIVIDES_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_shuffle3' 'hl/thm/int/INT_ADD_AC_2'
0. 'coq/Coq_Reals_Rminmax_R_max_le_compat_r' 'hl/thm/realax/NADD_LE_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_gcd_greatest' 'hl/thm/Library/integer/INT_DIVIDES_SUB_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_greatest' 'hl/thm/Library/integer/INT_DIVIDES_SUB_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_pos'#@#variant 'hl/thm/Library/transc/ATN_POS_LT_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lnot_ones' 'hl/thm/int/INT_ADD_LINV_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_le_mono_l' 'hl/thm/arith/LT_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_land_0_r' 'hl/thm/int/INT_MUL_RZERO_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_1_r'#@#variant 'hl/thm/Library/pocklington/ORDER_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftl_opp_r' 'hl/thm/Complex/complexnumbers/complex_div_'
0. 'coq/Coq_QArith_Qabs_Qabs_Qminus' 'hl/thm/int/INT_ABS_SUB_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_land_m1_l'#@#variant 'hl/thm/arith/ADD_CLAUSES_0'#@#variant
0. 'coq/Coq_NArith_BinNat_N_min_glb' 'hl/thm/Library/integer/INT_DIVIDES_SUB_'
0. 'coq/Coq_QArith_Qcanon_canon' 'hl/thm/Complex/complexnumbers/CNJ_CX_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_pred_l' 'hl/thm/Library/pratt/PHI_LIMIT_'
0. 'coq/Coq_NArith_BinNat_N_max_le_compat_r' 'hl/thm/Library/prime/DIVIDES_MUL_R_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_succ_r' 'hl/thm/calc_int/REAL_MUL_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_le_mono' 'hl/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lxor_eq_0_iff' 'hl/thm/realarith/REAL_SUB_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_even_2'#@#variant 'hl/thm/Multivariate/complexes/RE_II_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_pos_cancel_r'#@#variant 'hl/thm/Library/analysis/REAL_LT_RDIV_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_even_0' 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LE_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_comm' 'hl/thm/realax/TREAL_MUL_SYM_'#@#variant
0. 'coq/Coq_ZArith_Zeven_Zodd_plus_Zeven' 'hl/thm/realarith/REAL_LTE_ADD_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_total' 'hl/thm/int/INT_LT_TOTAL_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_gt' 'hl/thm/int/int_ge_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_div2_double'#@#variant 'hl/thm/Multivariate/transcendentals/CCOS_CACS_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_le_mono_pos_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LT_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_r' 'hl/thm/arith/EXP_MONO_LE_IMP_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_alt_dichotomy' 'hl/thm/int/INT_LE_TOTAL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_lub_iff' 'hl/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_Zabs' 'hl/thm/Multivariate/transcendentals/CX_SIN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_succ_l' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_pos'#@#variant 'hl/thm/Library/transc/LN_POS_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lt_succ_diag_r' 'hl/thm/Library/analysis/LESS_SUC_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_le_mono_r' 'hl/thm/realax/NADD_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_1_r' 'hl/thm/Library/pocklington/ORDER_1_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_0_2' 'hl/thm/Multivariate/transcendentals/PI2_BOUNDS_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_glb_iff' 'hl/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_le_mono_l' 'hl/thm/real/REAL_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lnot_ones' 'hl/thm/realax/REAL_ADD_LINV_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_0_1' 'hl/thm/Multivariate/transcendentals/PI2_BOUNDS_1'#@#variant
0. 'coq/Coq_Reals_Rtrigo_def_cos_sym' 'hl/thm/int/INT_ABS_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_eq_mul_0' 'hl/thm/Complex/complexnumbers/COMPLEX_ENTIRE_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_pos'#@#variant 'hl/thm/calc_num/ARITH_44'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_1_l' 'hl/thm/Complex/complexnumbers/COMPLEX_POLY_NEG_CLAUSES_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_0_sub'#@#variant 'hl/thm/int/INT_SUB_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_pos'#@#variant 'hl/thm/Library/integer/INT_PRIME_ABS_'
0. 'coq/Coq_Reals_Ratan_pos_opp_lt'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_LT_X_'#@#variant
0. 'coq/Coq_Reals_RIneq_double'#@#variant 'hl/thm/real/REAL_MUL_2_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_le_iff' 'hl/thm/real/REAL_LE_MAX_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_0_r' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RZERO_'#@#variant
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_double'#@#variant 'hl/thm/Multivariate/transcendentals/CX_ATN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_gt_lt_iff' 'hl/thm/realax/real_ge_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_pred_succ' 'hl/thm/Multivariate/transcendentals/ATN_TAN_'
0. 'coq/Coq_NArith_BinNat_N_succ_inj_wd' 'hl/thm/Library/transc/REAL_EXP_INJ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_refl' 'hl/thm/Library/poly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_double_size_level' 'hl/thm/Complex/complex_transc/CX_CSIN_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_shuffle3' 'hl/thm/realax/HREAL_ADD_AC_2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_opp' 'hl/thm/Complex/complexnumbers/CNJ_INV_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_0' 'hl/thm/Multivariate/complexes/IM_II_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_eq_0_gt_0_cases'#@#variant 'hl/thm/arith/LE_1_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lor_diag' 'hl/thm/real/REAL_MIN_ACI_3'
0. 'coq/Coq_NArith_Ndist_ni_le_refl' 'hl/thm/realax/TREAL_LE_REFL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_gcd_diag' 'hl/thm/arith/BIT0_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_pos'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_lt_le_mono' 'hl/thm/int/INT_LTE_ADD2_'
0. 'coq/Coq_QArith_QOrderedType_QOrder_lt_irrefl' 'hl/thm/arith/LT_REFL_'
0. 'coq/Coq_QArith_QOrderedType_QOrder_lt_eq' 'hl/thm/int/INT_LTE_TRANS_'
0. 'coq/Coq_QArith_QArith_base_inject_Z_opp' 'hl/thm/Multivariate/transcendentals/CX_TAN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lxor_0_l' 'hl/thm/arith/ADD_CLAUSES_0'#@#variant
0. 'coq/Coq_fourier_Fourier_util_Rle_zero_pos_plus1'#@#variant 'hl/thm/Multivariate/vectors/SQRT_POS_LE_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_asymm' 'hl/thm/int/INT_LT_ANTISYM_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_pred_le' 'hl/thm/arith/LE_SUC_LT_'
0. 'coq/__constr_Coq_Arith_Even_even_0_2' 'hl/thm/Library/transc/LN_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div2_nonneg' 'hl/thm/calc_num/ARITH_72'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_simpl_r' 'hl/thm/arith/ADD_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lor_m1_r'#@#variant 'hl/thm/Library/pocklington/ORDER_1_'#@#variant
0. 'coq/Coq_QArith_Qround_Qfloor_Z' 'hl/thm/int/NUM_OF_INT_OF_NUM_'
0. 'coq/Coq_ZArith_BinInt_Z_sgn_opp' 'hl/thm/Multivariate/transcendentals/CNJ_CSIN_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_mod_idemp_l' 'hl/thm/arith/MOD_EXP_MOD_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_lt_mono_pos_r'#@#variant 'hl/thm/int/INT_LT_RMUL_EQ_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_pos'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_POS_'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_ge' 'hl/thm/int/int_ge_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_le_mono_nonneg_l'#@#variant 'hl/thm/real/REAL_LE_LMUL_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_sub_succ_r' 'hl/thm/arith/SUB_1'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_lt_mono'#@#variant 'hl/thm/Library/analysis/REAL_LE_MUL2V_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_clearbit_spec_prime'#@#variant 'hl/thm/int/INT_SUB_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_glb_lt' 'hl/thm/Library/integer/INT_DIVIDES_SUB_'
0. 'coq/Coq_PArith_BinPos_Pos_add_lt_mono_r' 'hl/thm/int/INT_LT_RADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_refl' 'hl/thm/Library/prime/DIVIDES_REFL_'
0. 'coq/Coq_Reals_Rbasic_fun_Rle_min_compat_r' 'hl/thm/Library/analysis/LESS_MONO_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_lt_mono_pos_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LT_EQ_'#@#variant
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_iff' 'hl/thm/Multivariate/complexes/CX_INJ_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_greatest' 'hl/thm/Library/prime/DIVIDES_SUB_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_le_mono_r'#@#variant 'hl/thm/int/INT_LE_LMUL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_min_l' 'hl/thm/arith/MOD_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_gt_cases' 'hl/thm/arith/LTE_CASES_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_shiftr' 'hl/thm/int/INT_SUB_LNEG_'
0. 'coq/Coq_Numbers_Natural_BigN_Nbasic_plusnS' 'hl/thm/int/INT_MUL_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_le_lin'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_LT_X_'#@#variant
0. 'coq/Coq_Bool_Bool_eqb_negb2' 'hl/thm/int/INT_ADD_RINV_'#@#variant
0. 'coq/Coq_Reals_Rfunctions_RPow_abs' 'hl/thm/Multivariate/complexes/CNJ_POW_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_cancel_r' 'hl/thm/realax/NADD_LE_RADD_'
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_2' 'hl/thm/real/REAL_SGN_0_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_le_iff' 'hl/thm/int/INT_MIN_LE_'
0. 'coq/Coq_Reals_Rfunctions_RPow_abs' 'hl/thm/int/INT_SGN_POW_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_max_distr' 'hl/thm/Complex/complex_transc/CEXP_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_le_compat_r' 'hl/thm/realax/NADD_LE_RMUL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_0_2' 'hl/thm/Multivariate/transcendentals/PI2_BOUNDS_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_1_r'#@#variant 'hl/thm/Library/pocklington/ORDER_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant
0. 'coq/Coq_QArith_Qpower_Qsqr_nonneg'#@#variant 'hl/thm/real/REAL_LE_POW_2_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_0_1' 'hl/thm/Multivariate/transcendentals/PI2_BOUNDS_1'#@#variant
0. 'coq/Coq_Reals_RIneq_Rplus_gt_compat_l' 'hl/thm/realax/NADD_LE_LMUL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lcm_0_r' 'hl/thm/realax/HREAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Ropp_Rmin' 'hl/thm/Multivariate/transcendentals/REAL_EXP_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_pos'#@#variant 'hl/thm/Library/floor/INTEGER_NEG_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_pred_r' 'hl/thm/calc_int/REAL_MUL_RNEG_'
0. 'coq/Coq_ZArith_BinInt_Z_log2_le_mono' 'hl/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_ZArith_Zquot_Z_quot_monotone'#@#variant 'hl/thm/int/INT_LE_RMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_move_0_r' 'hl/thm/int/INT_LNEG_UNIQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_odd_sub' 'hl/thm/real/REAL_OF_NUM_SUB_'
0. 'coq/Coq_Reals_Rbasic_fun_Ropp_Rmax' 'hl/thm/Multivariate/transcendentals/REAL_EXP_ADD_'
0. 'coq/Coq_Reals_RIneq_Rplus_eq_reg_l' 'hl/thm/realax/HREAL_ADD_LCANCEL_'
0. 'coq/Coq_NArith_BinNat_N_pred_div2_up' 'hl/thm/Complex/complex_transc/CX_CCOS_'
0. 'coq/Coq_ZArith_Zorder_Zsucc_le_compat' 'hl/thm/Multivariate/vectors/SQRT_MONO_LE_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_pow_succ_r' 'hl/thm/arith/EXP_1'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_eq_0' 'hl/thm/arith/MULT_EQ_1_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_max_lub_lt_iff' 'hl/thm/int/INT_MAX_LT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_0_r' 'hl/thm/arith/ADD1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_cancel_l' 'hl/thm/realax/HREAL_EQ_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_1_l' 'hl/thm/realax/REAL_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_sub_diag' 'hl/thm/int/INT_SUB_REFL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Zminus_plus_simpl_l' 'hl/thm/arith/SUB_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_lt_mono'#@#variant 'hl/thm/Library/analysis/REAL_LE_MUL2V_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lor_0_l' 'hl/thm/int/INT_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_lxor_r' 'hl/thm/real/REAL_NEG_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_ngt' 'hl/thm/int/INT_NOT_LE_'
0. 'coq/Coq_ZArith_BinInt_Z_lxor_m1_r'#@#variant 'hl/thm/arith/ADD1_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_sqrt' 'hl/thm/Complex/complexnumbers/CX_INV_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_pos'#@#variant 'hl/thm/calc_num/ARITH_44'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_sub_r' 'hl/thm/Library/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Reals_RIneq_Ropp_mult_distr_r' 'hl/thm/int/INT_MUL_RNEG_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_glb' 'hl/thm/Library/prime/DIVIDES_SUB_'
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_r' 'hl/thm/realax/NADD_LE_RMUL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_min_le_compat_l' 'hl/thm/real/REAL_LT_LADD_IMP_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_lt_le_mono' 'hl/thm/int/INT_LTE_ADD2_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_pos_r'#@#variant 'hl/thm/real/REAL_LT_RMUL_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_le_compat_r' 'hl/thm/realax/NADD_LE_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_lxor_l' 'hl/thm/int/INT_MUL_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_eq_cases' 'hl/thm/arith/LE_LT_'
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_pos'#@#variant 'hl/thm/calc_num/ARITH_40'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sub_le_mono_r' 'hl/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_divide' 'hl/thm/realax/NADD_OF_NUM_LE_'
0. 'coq/Coq_QArith_QArith_base_Qlt_irrefl' 'hl/thm/arith/LT_REFL_'
0. 'coq/Coq_Reals_RIneq_Rplus_gt_ge_compat' 'hl/thm/real/REAL_LTE_ADD2_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_id' 'hl/thm/Complex/complexnumbers/complex_tybij_1'#@#variant
0. 'coq/Coq_Arith_Plus_plus_lt_compat_r' 'hl/thm/Library/prime/LESS_MONO_ADD_'
0. 'coq/Coq_PArith_BinPos_Pos_lt_nle' 'hl/thm/arith/NOT_LE_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_1_mul_pos'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_LE_1_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_inj_wd' 'hl/thm/real/REAL_EQ_NEG2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_diag' 'hl/thm/int/INT_SUB_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_lt_mono_pos_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LE_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_nonneg' 'hl/thm/Multivariate/transcendentals/ATN_BOUNDS_/0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_lt_iff' 'hl/thm/real/REAL_MIN_LT_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_pow_pos' 'hl/thm/int/INT_OF_NUM_POW_'
0. 'coq/Coq_QArith_Qcanon_Qcplus_0_l'#@#variant 'hl/thm/int/INT_MUL_LID_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_max_le_iff' 'hl/thm/int/INT_LT_MAX_'
0. 'coq/Coq_Reals_RIneq_Rle_le_eq' 'hl/thm/realax/REAL_LE_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_le_mono_r' 'hl/thm/realax/NADD_LE_RADD_'
0. 'coq/Coq_ZArith_BinInt_Zmult_0_r_reverse' 'hl/thm/Library/pocklington/ORDER_1_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_le_compat_l' 'hl/thm/Library/prime/DIVIDES_MUL_L_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_pred' 'hl/thm/Library/transc/REAL_EXP_NEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_pos_r'#@#variant 'hl/thm/real/REAL_LE_RMUL_EQ_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_greatest' 'hl/thm/Complex/cpoly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lt_trichotomy' 'hl/thm/int/INT_LT_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_min_r' 'hl/thm/Library/prime/INDEX_TRIVIAL_BOUND_'
0. 'coq/Coq_NArith_BinNat_N_pow_lt_mono_l' 'hl/thm/arith/EXP_MONO_LT_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sub_le_mono_r' 'hl/thm/realax/NADD_LE_RMUL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_involutive' 'hl/thm/real/REAL_INV_INV_'
0. 'coq/Coq_Reals_Rminmax_R_min_le_compat_l' 'hl/thm/realax/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_greatest' 'hl/thm/Library/integer/INT_DIVIDES_SUB_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_id' 'hl/thm/real/REAL_MAX_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_lt_mono_r' 'hl/thm/int/INT_LT_RADD_'
0. 'coq/Coq_NArith_BinNat_N_div_mod' 'hl/thm/arith/DIVISION_SIMP_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_glb_lt' 'hl/thm/Library/prime/DIVIDES_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_lt_iff' 'hl/thm/int/INT_MIN_LE_'
0. 'coq/Coq_PArith_BinPos_Pos_add_succ_r' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_RMUL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_min_le_compat_r' 'hl/thm/realax/HREAL_LE_MUL_RCANCEL_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_nonpos' 'hl/thm/int/INT_SGN_INEQS_8'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_nonneg_pos'#@#variant 'hl/thm/realarith/REAL_LET_ADD_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_min_glb_lt' 'hl/thm/Library/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Sets_Uniset_leb_refl' 'hl/thm/realax/NADD_EQ_REFL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_pos'#@#variant 'hl/thm/Library/pocklington/EVEN_PHI_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_lt_add_l' 'hl/thm/Library/integer/INT_DIVIDES_LMUL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_asymm' 'hl/thm/arith/LT_ANTISYM_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_succ_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LNEG_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_gt' 'hl/thm/real/REAL_OF_NUM_GT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_pred_l' 'hl/thm/Multivariate/transcendentals/REAL_ABS_RPOW_'
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_divide_r' 'hl/thm/Library/prime/INDEX_TRIVIAL_BOUND_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lxor_0_l' 'hl/thm/arith/ADD_CLAUSES_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_le_mono' 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Reals_Rtrigo1_cos_ge_0'#@#variant 'hl/thm/Library/transc/COS_POS_PI_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_opp' 'hl/thm/Multivariate/transcendentals/COS_ABS_'
0. 'coq/Coq_Reals_RIneq_opp_IZR' 'hl/thm/Complex/complex_transc/CX_CCOS_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_refl' 'hl/thm/Multivariate/misc/GE_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_pos' 'hl/thm/real/REAL_SGN_INEQS_2'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_1_l' 'hl/thm/arith/MULT_CLAUSES_2'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_le_lin'#@#variant 'hl/thm/Library/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_eq_mul_0' 'hl/thm/real/REAL_DIV_EQ_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_1_l'#@#variant 'hl/thm/int/INT_MUL_LID_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ldiff_ldiff_l' 'hl/thm/Library/prime/EXP_EXP_'
0. 'coq/Coq_ZArith_BinInt_Z_divide_factor_l' 'hl/thm/arith/LE_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_le_compat_r' 'hl/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_le_compat_r' 'hl/thm/Library/prime/DIVIDES_MUL_R_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_succ' 'hl/thm/Complex/complex_transc/CX_CEXP_'
0. 'coq/Coq_Reals_Rbasic_fun_abs_IZR' 'hl/thm/Multivariate/transcendentals/CX_ATN_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_setbit_spec_prime'#@#variant 'hl/thm/Complex/complexnumbers/complex_div_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_mul_r' 'hl/thm/Library/prime/DIVIDES_LMUL_'
0. 'coq/Coq_ZArith_Zorder_Zgt_pos_0' 'hl/thm/Multivariate/transcendentals/ARG_/1'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zle_lt_succ' 'hl/thm/Library/analysis/LESS_EQ_IMP_LESS_SUC_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_mul_r' 'hl/thm/arith/EXP_MULT_'
0. 'coq/Coq_ZArith_BinInt_Z_sgn_nonneg'#@#variant 'hl/thm/int/INT_SGN_INEQS_0'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_oppc' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_INV_'
0. 'coq/Coq_ZArith_BinInt_Z_divide_abs_l' 'hl/thm/Library/integer/INT_DIVIDES_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_inj_wd' 'hl/thm/calc_num/ARITH_48'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_divide_mono_l' 'hl/thm/realax/NADD_MUL_WELLDEF_LEMMA_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div_0_l' 'hl/thm/arith/MOD_0_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_opp_r' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_RMUL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_sub_l' 'hl/thm/int/INT_MIN_MIN_/0'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_double_plus_one' 'hl/thm/int/int_abs_th_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_pred_r' 'hl/thm/real/REAL_NEG_RMUL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_pos'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_POS_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_le_compat_r' 'hl/thm/Library/prime/LESS_MONO_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sub_succ_r' 'hl/thm/Multivariate/transcendentals/RPOW_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_succ_diag_r' 'hl/thm/int/INT_ABS_LE_'
0. 'coq/Coq_Arith_Plus_plus_le_compat_l' 'hl/thm/realax/TREAL_LE_LADD_IMP_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_le_mono_r'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_nonneg' 'hl/thm/Multivariate/transcendentals/ATN_BOUNDS_/0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mod_1_r'#@#variant 'hl/thm/arith/EXP_0'#@#variant
0. 'coq/Coq_ZArith_Zeven_Zodd_Sn' 'hl/thm/Multivariate/transcendentals/LOG_POS_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_lt_mono_r_iff'#@#variant 'hl/thm/real/REAL_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_Bool_Bool_negb_involutive' 'hl/thm/int/INT_NEGNEG_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_gt' 'hl/thm/int/INT_OF_NUM_GT_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_succ' 'hl/thm/Multivariate/complexes/IM_CNJ_'#@#variant
0. 'coq/Coq_QArith_Qminmax_Q_max_assoc' 'hl/thm/realax/NADD_ADD_ASSOC_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_inj_wd' 'hl/thm/nums/IND_SUC_INJ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_pos'#@#variant 'hl/thm/Library/pocklington/PHI_LOWERBOUND_2_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_succ_inj_wd' 'hl/thm/calc_num/ARITH_54'
0. 'coq/Coq_Classes_DecidableClass_Decidable_eq_bool_obligation_1' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_0_'#@#variant
0. 'coq/Coq_ZArith_Zeven_Zodd_pred' 'hl/thm/Library/pratt/PHI_LOWERBOUND_1_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_opp' 'hl/thm/Complex/complexnumbers/CNJ_INV_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_sqrt_2' 'hl/thm/Library/transc/COS_2_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_mul_r' 'hl/thm/Library/prime/DIVIDES_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_pos'#@#variant 'hl/thm/int/INT_SGN_INEQS_1'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_odd_2'#@#variant 'hl/thm/Multivariate/complexes/IM_II_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_le_mono' 'hl/thm/Library/transc/ATN_MONO_LT_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_shuffle3' 'hl/thm/calc_int/REAL_ADD_AC_2'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_ge' 'hl/thm/real/REAL_OF_NUM_GT_'
0. 'coq/Coq_ZArith_BinInt_Z_lnot_lxor_l' 'hl/thm/calc_int/REAL_MUL_LNEG_'
0. 'coq/Coq_QArith_Qround_Zdiv_Qdiv' 'hl/thm/int/int_max_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_1_l' 'hl/thm/Library/integer/INT_DIVIDES_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_lt_trans' 'hl/thm/arith/LET_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_simpl_l' 'hl/thm/int/INT_ADD_SUB_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_pos'#@#variant 'hl/thm/Library/floor/INTEGER_NEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_mul_below' 'hl/thm/int/INT_SUB_ABS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_0_l' 'hl/thm/int/INT_NEG_MINUS1_'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_T_OMEGA16_stable' 'hl/thm/Library/multiplicative/MULTIPLICATIVE_SIGMA_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_even_0' 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_double'#@#variant 'hl/thm/Library/transc/LN_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_quot_same'#@#variant 'hl/thm/arith/DIV_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_succ_l' 'hl/thm/Multivariate/transcendentals/REAL_INV_RPOW_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_le_compat_l' 'hl/thm/realax/REAL_LE_LADD_IMP_'
0. 'coq/Coq_NArith_BinNat_N_mul_eq_0' 'hl/thm/Complex/complexnumbers/COMPLEX_ENTIRE_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lt_neq' 'hl/thm/int/INT_LT_IMP_NE_'
0. 'coq/Coq_ZArith_Zorder_Zplus_lt_compat_r' 'hl/thm/Library/analysis/LESS_MONO_ADD_'
0. 'coq/Coq_ZArith_BinInt_Z_pow_lt_mono'#@#variant 'hl/thm/Library/analysis/REAL_LT_MUL2_ALT_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_min_glb_lt_iff' 'hl/thm/int/INT_LT_MIN_'
0. 'coq/Coq_fourier_Fourier_util_Rle_zero_pos_plus1'#@#variant 'hl/thm/real/REAL_LE_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_1_mul_pos'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_LE_1_'#@#variant
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_succ' 'hl/thm/int/int_neg_th_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_le_iff' 'hl/thm/real/REAL_MIN_LE_'
0. 'coq/Coq_ZArith_BinInt_Z_divide_refl' 'hl/thm/realax/NADD_EQ_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_neq_0_succ' 'hl/thm/nums/NOT_SUC_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_pow_pos_nonneg'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_LT_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftr_div_pow2'#@#variant 'hl/thm/realax/real_div_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div2_succ_double' 'hl/thm/Multivariate/transcendentals/CSIN_CASN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_land_0_r' 'hl/thm/arith/MULT_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_mul_l' 'hl/thm/Library/prime/DIVIDES_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_ldiff_diag' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_REFL_'#@#variant
0. 'coq/Coq_Reals_ROrderedType_ROrder_lt_le_trans' 'hl/thm/realarith/REAL_LTE_TRANS_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_le_compat_r' 'hl/thm/arith/EXP_MONO_LE_IMP_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_inj_wd' 'hl/thm/Library/transc/REAL_EXP_INJ_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_pred_succ' 'hl/thm/arith/PRE_1'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_1_l'#@#variant 'hl/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_1_l'#@#variant 'hl/thm/int/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sub_max_distr_l' 'hl/thm/arith/EXP_ADD_'
0. 'coq/Coq_Reals_Rfunctions_powerRZ_lt' 'hl/thm/int/INT_POW_LE_1_'#@#variant
0. 'coq/Coq_ZArith_Zlogarithm_log_inf_correct1'#@#variant 'hl/thm/real/REAL_LT_POW2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_nge' 'hl/thm/int/INT_LT_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lor_land_distr_r' 'hl/thm/realax/NADD_LDISTRIB_'
0. 'coq/Coq_Arith_Min_le_min_l' 'hl/thm/real/REAL_MIN_MIN_/0'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_opp_norm' 'hl/thm/Library/floor/INTEGER_CLOSED_5'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_cancel_r' 'hl/thm/arith/LE_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div_le_mono'#@#variant 'hl/thm/real/REAL_LE_RMUL_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_min_l' 'hl/thm/Library/analysis/SUB_LESS_EQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_shuffle3' 'hl/thm/realax/HREAL_ADD_AC_2'
0. 'coq/Coq_QArith_QArith_base_Qinv_lt_0_compat'#@#variant 'hl/thm/real/REAL_LE_INV_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_pos'#@#variant 'hl/thm/Library/transc/LN_POS_LT_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_le_mono_pos_r'#@#variant 'hl/thm/real/REAL_LT_DIV2_EQ_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rmax_Rlt' 'hl/thm/real/REAL_MAX_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_glb' 'hl/thm/Library/integer/INT_DIVIDES_SUB_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_ge' 'hl/thm/int/INT_OF_NUM_GT_'
0. 'coq/Coq_Reals_Rtopology_is_lub_u' 'hl/thm/Multivariate/realanalysis/HAS_REAL_MEASURE_UNIQUE_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_lteq' 'hl/thm/realarith/REAL_LE_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_refl' 'hl/thm/Library/poly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_le_mono' 'hl/thm/Library/floor/FLOOR_MONO_'
0. 'coq/Coq_PArith_BinPos_Pos_add_cancel_r' 'hl/thm/realax/HREAL_EQ_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lor_eq_0_iff' 'hl/thm/arith/ADD_EQ_0_'#@#variant
0. 'coq/Coq_Arith_Factorial_fact_le' 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_fourier_Fourier_util_Rfourier_le'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_0_r' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RZERO_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_divide_r' 'hl/thm/real/REAL_MIN_MIN_/1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_add_r' 'hl/thm/Library/integer/INT_DIVIDES_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_le_incl' 'hl/thm/realax/NADD_EQ_IMP_LE_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_total' 'hl/thm/Library/analysis/LESS_CASES_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_le_mono' 'hl/thm/Library/floor/FLOOR_MONO_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lnot_ones' 'hl/thm/realax/REAL_ADD_LINV_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rlt_le' 'hl/thm/int/INT_LT_IMP_LE_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_refl' 'hl/thm/realax/TREAL_EQ_REFL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_le_sub_le_add_r' 'hl/thm/int/INT_LT_SUB_RADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_add_le_sub_r' 'hl/thm/int/INT_LT_ADD_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_le_mono' 'hl/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_refl' 'hl/thm/realax/TREAL_EQ_REFL_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_clearbit_spec_prime'#@#variant 'hl/thm/realax/real_div_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_xO'#@#variant 'hl/thm/int/int_sgn_th_'
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_minus_sym' 'hl/thm/int/INT_ABS_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_simpl_r' 'hl/thm/arith/ADD_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_shuffle3' 'hl/thm/realax/HREAL_ADD_AC_2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_0_l' 'hl/thm/int/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_mod_idemp_l' 'hl/thm/arith/MOD_MULT_LMOD_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_inv_normc' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_INV_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_lt_trans' 'hl/thm/realarith/REAL_LET_TRANS_'
0. 'coq/Coq_Reals_Rtrigo1_tan_gt_0'#@#variant 'hl/thm/Multivariate/transcendentals/SIN_POS_PI_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div2_nonneg'#@#variant 'hl/thm/calc_num/ARITH_44'
0. 'coq/Coq_ZArith_BinInt_Z_div2_nonneg' 'hl/thm/real/REAL_SGN_INEQS_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_refl' 'hl/thm/int/INT_LE_REFL_'
0. 'coq/Coq_PArith_BinPos_Pos_min_le_iff' 'hl/thm/int/INT_MIN_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_pos'#@#variant 'hl/thm/Library/floor/RATIONAL_INV_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_sub_l' 'hl/thm/int/INT_MIN_MIN_/0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_sub_r' 'hl/thm/Complex/cpoly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_refl' 'hl/thm/realax/NADD_EQ_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_cancel_r' 'hl/thm/arith/EQ_ADD_RCANCEL_'
0. 'coq/Coq_ZArith_Znat_Z2N_inj_div2' 'hl/thm/int/int_neg_th_'
0. 'coq/Coq_NArith_BinNat_N_max_le_compat_l' 'hl/thm/real/REAL_LT_LADD_IMP_'
0. 'coq/Coq_ZArith_Zeven_Zeven_Sn' 'hl/thm/Library/pratt/PHI_LOWERBOUND_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_nonneg'#@#variant 'hl/thm/int/INT_NEG_GT0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_succ_le' 'hl/thm/Library/floor/FLOOR_DOUBLE_/0'#@#variant
0. 'coq/Coq_Reals_Exp_prop_div2_double'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_TAN_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_land_m1_l'#@#variant 'hl/thm/int/INT_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_ge_cases' 'hl/thm/realarith/REAL_LET_TOTAL_'
0. 'coq/Coq_MMaps_MMapPositive_PositiveMap_lt_rev_append' 'hl/thm/realax/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Reals_RIneq_opp_IZR' 'hl/thm/Multivariate/transcendentals/CX_ATN_'#@#variant
0. 'coq/Coq_Bool_Bool_xorb_nilpotent' 'hl/thm/int/INT_SUB_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_glb' 'hl/thm/Library/integer/INT_DIVIDES_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_cancel_r' 'hl/thm/int/INT_EQ_ADD_RCANCEL_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_glb' 'hl/thm/Library/integer/INT_DIVIDES_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_1_r' 'hl/thm/arith/MULT_0_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_nle_gt' 'hl/thm/arith/NOT_LT_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_digits/0'#@#variant 'hl/thm/realarith/REAL_POS_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_sub_1_r' 'hl/thm/arith/ADD1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_lt_mono_nonneg'#@#variant 'hl/thm/real/REAL_LT_MUL2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lxor_nilpotent' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_REFL_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_mul_below' 'hl/thm/int/INT_SUB_ABS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_nonneg' 'hl/thm/Multivariate/transcendentals/ATN_BOUNDS_/0'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_add_le_sub_r' 'hl/thm/int/INT_LT_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_rem_0_l' 'hl/thm/arith/DIV_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pred_le_mono' 'hl/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_le_mono_r' 'hl/thm/arith/LE_ADD_RCANCEL_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_0_r' 'hl/thm/Library/pocklington/ORDER_1_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_gt_cases' 'hl/thm/int/INT_LET_TOTAL_'
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_l' 'hl/thm/real/REAL_LT_LADD_IMP_'
0. 'coq/Coq_QArith_Qcanon_Qcplus_0_l'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_divide_iff' 'hl/thm/real/REAL_LT_MIN_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_pos_l'#@#variant 'hl/thm/Library/analysis/REAL_LE_LMUL_LOCAL_'#@#variant
0. 'coq/Coq_Bool_Bool_xorb_false_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_divide' 'hl/thm/int/int_gt_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_add_diag_r' 'hl/thm/real/REAL_MAX_MAX_/0'
0. 'coq/Coq_Reals_Rbasic_fun_Rle_max_compat_r' 'hl/thm/arith/EXP_MONO_LE_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div2_neg' 'hl/thm/int/INT_SGN_INEQS_7'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_max_l' 'hl/thm/realax/HREAL_LE_ADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_min_glb' 'hl/thm/Library/integer/INT_DIVIDES_ADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_divide_add_cancel_l' 'hl/thm/Library/integer/INT_DIVIDES_ADD_REVL_'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_pred' 'hl/thm/Complex/complex_transc/CX_CSIN_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div2_succ_double' 'hl/thm/Multivariate/transcendentals/LOG_EXP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_lxor_r' 'hl/thm/real/REAL_NEG_RMUL_'
0. 'coq/Coq_Reals_RIneq_Rmult_ne/1' 'hl/thm/realax/REAL_ADD_LID_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_land_0_r' 'hl/thm/arith/MULT_0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_refl' 'hl/thm/arith/LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_0_r' 'hl/thm/Library/prime/DIVIDES_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_1_l'#@#variant 'hl/thm/arith/LE_0_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pow_le_mono_r_iff'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LE_EQ_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_opp_min_distr' 'hl/thm/Library/transc/REAL_EXP_SUB_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mod_1_r'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_0_'#@#variant
0. 'coq/Coq_QArith_Qreduction_Qred_correct' 'hl/thm/Library/floor/FLOOR_/1'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_le_lin'#@#variant 'hl/thm/Library/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qplus_inj_r' 'hl/thm/realax/NADD_LE_RADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_le_mono' 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_le_compat_r' 'hl/thm/Library/integer/INT_DIVIDES_MUL_R_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_rem_1_r'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_sub_le_add_r' 'hl/thm/int/INT_LE_SUB_RADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_1_mul_pos'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_LE_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_le_mono_r' 'hl/thm/realax/NADD_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_le_mono_pos_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LT_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_eq_cases' 'hl/thm/arith/LE_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_move_0_r' 'hl/thm/int/INT_SUB_0_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_ldiff_diag' 'hl/thm/arith/SUB_REFL_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_max_lt_iff' 'hl/thm/real/REAL_LE_MAX_'
0. 'coq/Coq_Sets_Uniset_leb_refl' 'hl/thm/Library/integer/INT_DIVIDES_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_succ_l' 'hl/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_cancel_r' 'hl/thm/arith/EQ_ADD_RCANCEL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_le_mono' 'hl/thm/Library/floor/FLOOR_MONO_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_land_diag' 'hl/thm/real/REAL_MAX_ACI_3'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_glb_iff' 'hl/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_QArith_QArith_base_Qinv_lt_0_compat'#@#variant 'hl/thm/Multivariate/vectors/SQRT_POS_LT_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_pred_succ' 'hl/thm/Library/transc/ATN_TAN_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_lt_mono_l' 'hl/thm/int/INT_LE_LADD_'
0. 'coq/Coq_ZArith_BinInt_Z2Pos_inj_sqrt' 'hl/thm/Complex/complexnumbers/CX_NEG_'
0. 'coq/Coq_Classes_DecidableClass_Decidable_eq_bool_obligation_1' 'hl/thm/int/INT_SUB_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_le_mono' 'hl/thm/Library/floor/FLOOR_MONO_'
0. 'coq/Coq_NArith_Ndist_ni_le_min_1' 'hl/thm/int/INT_MIN_MIN_/0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lor_0_l' 'hl/thm/realax/REAL_ADD_LID_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_add_reg_l' 'hl/thm/realax/HREAL_ADD_LCANCEL_'
0. 'coq/Coq_NArith_BinNat_N_le_sub_le_add_r' 'hl/thm/real/REAL_LT_ADD_SUB_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_sub_l' 'hl/thm/Library/analysis/SUB_LESS_EQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_greatest' 'hl/thm/Library/integer/INT_DIVIDES_SUB_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_setbit_spec_prime'#@#variant 'hl/thm/Complex/complexnumbers/complex_sub_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_lt_lin'#@#variant 'hl/thm/Library/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sub_le_mono_r' 'hl/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_refl' 'hl/thm/realax/REAL_LE_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_odd_0' 'hl/thm/nums/ZERO_DEF_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_odd_2'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_ldiff_m1_l'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_LZERO_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_xO_r' 'hl/thm/calc_int/REAL_MUL_RNEG_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_quot2' 'hl/thm/Multivariate/transcendentals/CX_ATN_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_le_mono' 'hl/thm/realax/NADD_INV_WELLDEF_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_pos_nonneg'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_LE_1_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_opp_r' 'hl/thm/int/INT_SUB_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_refl' 'hl/thm/Library/poly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_pos'#@#variant 'hl/thm/Library/floor/INTEGER_NEG_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_opp_l' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_LMUL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_lt_mono_pos_l'#@#variant 'hl/thm/real/REAL_LE_LMUL_EQ_'#@#variant
0. 'coq/Coq_Reals_Ratan_atan_bound/1'#@#variant 'hl/thm/Library/transc/ATN_BOUNDS_/1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_nonneg_r'#@#variant 'hl/thm/Library/analysis/REAL_LE_RMUL_IMP_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_eq_mul_0' 'hl/thm/realarith/REAL_ENTIRE_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_power_norm' 'hl/thm/real/REAL_POW_LE_1_'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tmult_assoc_r_stable' 'hl/thm/Library/multiplicative/MULTIPLICATIVE_PHI_'
0. 'coq/Coq_Reals_Ratan_Ratan_seq_opp' 'hl/thm/real/REAL_ABS_POW_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lxor_nilpotent' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftr_div_pow2'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_le_iff' 'hl/thm/int/INT_MIN_LE_'
0. 'coq/Coq_NArith_BinNat_N_even_1'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_nle_gt' 'hl/thm/arith/NOT_LT_'
0. 'coq/Coq_Reals_Rfunctions_pow_le'#@#variant 'hl/thm/Library/floor/RATIONAL_POW_'
0. 'coq/Coq_Reals_RIneq_Rnot_lt_le' 'hl/thm/realarith/REAL_LET_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_factor_l' 'hl/thm/real/REAL_MAX_MAX_/0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_le_mono_nonneg_r'#@#variant 'hl/thm/Library/analysis/REAL_LE_RMUL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_lt_mono'#@#variant 'hl/thm/real/REAL_LE_MUL2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_max_l' 'hl/thm/realax/HREAL_LE_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_le_lin'#@#variant 'hl/thm/Library/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_lt_mono_r' 'hl/thm/int/INT_LT_RADD_'
0. 'coq/Coq_NArith_BinNat_N_add_cancel_l' 'hl/thm/arith/EQ_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lcm_1_r' 'hl/thm/arith/SUB_0_/1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_0_r' 'hl/thm/Library/prime/DIVIDES_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_lt_mono_r' 'hl/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_ZArith_BinInt_Z_log2_pos'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_POS_LT_'#@#variant
0. 'coq/Coq_Arith_Gt_gt_Sn_O' 'hl/thm/calc_num/ARITH_93'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_nonpos' 'hl/thm/int/INT_SGN_INEQS_6'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_min_glb' 'hl/thm/Complex/cpoly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Reals_RIneq_Ropp_mult_distr_l_reverse' 'hl/thm/Multivariate/transcendentals/REAL_INV_RPOW_'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_succ' 'hl/thm/int/int_abs_th_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lcm_divide_iff' 'hl/thm/int/INT_MAX_LE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_succ_diag_r' 'hl/thm/arith/LT_POW2_REFL_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pred_div2_up' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_INV_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_glb_lt' 'hl/thm/Complex/cpoly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_inj_wd' 'hl/thm/calc_num/ARITH_48'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_succ_r' 'hl/thm/calc_int/REAL_MUL_RNEG_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_gt_cases' 'hl/thm/realarith/REAL_LTE_TOTAL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lxor_nilpotent' 'hl/thm/arith/SUB_REFL_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_xO_r' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_RMUL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_pos'#@#variant 'hl/thm/real/REAL_SGN_INEQS_1'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_nge' 'hl/thm/int/INT_NOT_LT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_trichotomy' 'hl/thm/real/REAL_LT_TOTAL_'
0. 'coq/Coq_Reals_Ratan_Ropp_div' 'hl/thm/Multivariate/transcendentals/RPOW_INV_'
0. 'coq/Coq_QArith_QArith_base_Qplus_assoc' 'hl/thm/realax/TREAL_ADD_ASSOC_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_sin_shift'#@#variant 'hl/thm/Multivariate/transcendentals/SIN_COS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_glb_lt_iff' 'hl/thm/int/INT_LE_MIN_'
0. 'coq/Coq_Reals_Rminmax_R_opp_min_distr' 'hl/thm/Library/transc/REAL_EXP_ADD_'
0. 'coq/Coq_ZArith_Zorder_Zmult_lt_compat'#@#variant 'hl/thm/real/REAL_LE_MUL2_'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_move_right_valid' 'hl/thm/Multivariate/realanalysis/POLYNOMIAL_FUNCTION_BERNOULLI_'
0. 'coq/Coq_Strings_Ascii_ascii_N_embedding' 'hl/thm/Multivariate/vectors/LIFT_DROP_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_cancel_r' 'hl/thm/int/INT_EQ_ADD_RCANCEL_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_pred_l' 'hl/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_double_spec'#@#variant 'hl/thm/Library/analysis/REAL_INV_1OVER_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_succ_r' 'hl/thm/int/INT_NEG_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_1_l'#@#variant 'hl/thm/arith/MULT_CLAUSES_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_setbit_spec_prime'#@#variant 'hl/thm/realax/real_div_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_shuffle3' 'hl/thm/realax/HREAL_ADD_AC_2'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_inj_wd' 'hl/thm/nums/IND_SUC_INJ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_2' 'hl/thm/real/REAL_SGN_0_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_1_l' 'hl/thm/arith/LE_0_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_glb' 'hl/thm/Library/prime/DIVIDES_ADD_'
0. 'coq/Coq_NArith_BinNat_N_mul_pos_cancel_r'#@#variant 'hl/thm/Library/analysis/REAL_LT_RDIV_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_divide_iff' 'hl/thm/real/REAL_LT_MIN_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_pred_l' 'hl/thm/Library/pratt/PHI_LIMIT_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_le_mono_nonneg_r'#@#variant 'hl/thm/real/REAL_LT_RMUL_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_cancel_l' 'hl/thm/Library/analysis/REAL_EQ_LMUL2_'#@#variant
0. 'coq/Coq_QArith_Qminmax_Q_le_min_r' 'hl/thm/real/REAL_MIN_MIN_/1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_glb_lt_iff' 'hl/thm/real/REAL_LT_MIN_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_id' 'hl/thm/real/REAL_MIN_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ldiff_m1_l'#@#variant 'hl/thm/realarith/REAL_POLY_NEG_CLAUSES_0'#@#variant
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_div2' 'hl/thm/Multivariate/transcendentals/CX_EXP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mod_le' 'hl/thm/arith/MOD_LE_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_le_compat_r' 'hl/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_le_succ_r' 'hl/thm/Library/analysis/LESS_SUC_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_even_2'#@#variant 'hl/thm/nums/ZERO_DEF_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_add_r' 'hl/thm/realax/HREAL_LE_ADD_'
0. 'coq/Coq_Reals_RIneq_Rmult_eq_reg_r' 'hl/thm/real/REAL_EQ_RCANCEL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_lt_trans' 'hl/thm/arith/LET_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_simpl_l' 'hl/thm/int/INT_ADD_SUB_'
0. 'coq/Coq_NArith_BinNat_N_odd_spec' 'hl/thm/Multivariate/complexes/real_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_neq_0_succ' 'hl/thm/Library/transc/REAL_EXP_NZ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div_mod' 'hl/thm/arith/DIVISION_SIMP_1'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_pow_0_l_prime' 'hl/thm/arith/DIV_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_pred_succ' 'hl/thm/Library/transc/ATN_TAN_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_divide_mono_r' 'hl/thm/Library/analysis/LESS_MONO_ADD_'
0. 'coq/Coq_Reals_Rminmax_R_max_lub_iff' 'hl/thm/real/REAL_MAX_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_succ_diag_r' 'hl/thm/arith/LT_POW2_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div_same'#@#variant 'hl/thm/arith/DIV_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_lt_iff' 'hl/thm/int/INT_MIN_LE_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_iff' 'hl/thm/int/INT_OF_NUM_EQ_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_pos_l'#@#variant 'hl/thm/Library/analysis/REAL_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rlt_or_le' 'hl/thm/arith/LET_CASES_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_shuffle3' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_AC_2'
0. 'coq/Coq_Arith_PeanoNat_Nat_nle_gt' 'hl/thm/int/INT_NOT_LT_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_lt_mono_pos_r'#@#variant 'hl/thm/real/REAL_LE_RMUL_EQ_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_le_mono_r' 'hl/thm/realax/NADD_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_le_compat_r' 'hl/thm/realax/NADD_LE_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_1_l'#@#variant 'hl/thm/Library/integer/INT_DIVIDES_1_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_sub_succ_r' 'hl/thm/Multivariate/transcendentals/RPOW_NEG_'
0. 'coq/Coq_QArith_QOrderedType_QOrder_eq_refl' 'hl/thm/realax/HREAL_LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_sub_le_add_r' 'hl/thm/real/REAL_LT_SUB_LADD_'
0. 'coq/Coq_QArith_Qcanon_canon' 'hl/thm/calc_int/REAL_ABS_NUM_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_divide_mono_r' 'hl/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_pos_r'#@#variant 'hl/thm/real/REAL_LE_RMUL_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lor_diag' 'hl/thm/int/INT_MAX_ACI_3'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_xO_r' 'hl/thm/real/REAL_NEG_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_alt_dichotomy' 'hl/thm/realax/TREAL_LE_TOTAL_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_div2' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_INV_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_0_l' 'hl/thm/arith/ADD_CLAUSES_0'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_square_spec' 'hl/thm/arith/BIT0_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_le_mono_r' 'hl/thm/arith/LE_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_nle_gt' 'hl/thm/int/INT_NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_gt_cases' 'hl/thm/real/REAL_NOT_EQ_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_log2' 'hl/thm/int/int_sgn_th_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_opp_r' 'hl/thm/int/INT_SUB_'
0. 'coq/Coq_ZArith_BinInt_Z_lcm_0_r' 'hl/thm/realax/HREAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_irrefl' 'hl/thm/int/INT_LT_REFL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_double'#@#variant 'hl/thm/Library/transc/LN_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_succ_l' 'hl/thm/Multivariate/transcendentals/REAL_ABS_RPOW_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lor_eq_0_iff' 'hl/thm/arith/ADD_EQ_0_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_le_iff' 'hl/thm/real/REAL_MIN_LE_'
0. 'coq/Coq_fourier_Fourier_util_Rlt_zero_pos_plus1'#@#variant 'hl/thm/Library/floor/RATIONAL_INV_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div2_nonneg'#@#variant 'hl/thm/real/REAL_SGN_INEQS_1'#@#variant
0. 'coq/Coq_ZArith_Zeven_Zeven_pred' 'hl/thm/Library/transc/LN_POS_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div2_nonneg'#@#variant 'hl/thm/Multivariate/complexes/REAL_INV_EQ_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_divide_refl' 'hl/thm/Library/prime/DIVIDES_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_div2_nonneg'#@#variant 'hl/thm/Library/integer/INT_PRIME_ABS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_opp_r' 'hl/thm/Multivariate/complexes/complex_div_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_nge' 'hl/thm/arith/NOT_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_eq_le_incl' 'hl/thm/real/REAL_EQ_IMP_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_id' 'hl/thm/real/REAL_MIN_ACI_3'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_refl' 'hl/thm/Library/prime/DIVIDES_REFL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_rem_idemp_l' 'hl/thm/arith/MOD_EXP_MOD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_le_iff' 'hl/thm/real/REAL_MIN_LT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_factor_r' 'hl/thm/int/INT_MAX_MAX_/1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_nonneg'#@#variant 'hl/thm/Library/integer/INT_PRIME_ABS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_add_cancel_r' 'hl/thm/Library/prime/DIVIDES_ADD_REVR_'
0. 'coq/Coq_Reals_Rminmax_R_opp_min_distr' 'hl/thm/Library/transc/REAL_EXP_SUB_'
0. 'coq/Coq_Arith_PeanoNat_Nat_square_spec' 'hl/thm/arith/MULT_2_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_r' 'hl/thm/arith/EXP_MONO_LE_IMP_'
0. 'coq/Coq_NArith_BinNat_N_add_succ_r' 'hl/thm/int/INT_NEG_RMUL_'
0. 'coq/Coq_PArith_BinPos_Pos_mul_xO_r' 'hl/thm/int/INT_NEG_RMUL_'
0. 'coq/Coq_MMaps_MMapPositive_PositiveMap_E_bits_lt_antirefl' 'hl/thm/arith/LT_REFL_'
0. 'coq/Coq_NArith_BinNat_N_log2_up_le_mono' 'hl/thm/Library/transc/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_le_mono' 'hl/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_succ_diag_r' 'hl/thm/int/INT_ABS_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_glb_lt' 'hl/thm/Library/prime/DIVIDES_ADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_1_l' 'hl/thm/Library/prime/DIVIDES_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_succ_not_1' 'hl/thm/Complex/complex_transc/CEXP_NONZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_divide_mono_r' 'hl/thm/realax/NADD_LE_RMUL_'
0. 'coq/Coq_NArith_BinNat_N_pow_0_r'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_0_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_le_refl' 'hl/thm/Library/poly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_cancel_l' 'hl/thm/arith/EQ_ADD_LCANCEL_'
0. 'coq/Coq_ZArith_BinInt_Z_opp_lt_mono' 'hl/thm/calc_int/REAL_LE_NEG2_'
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_0_l' 'hl/thm/arith/MULT_CLAUSES_2'#@#variant
0. 'coq/Coq_NArith_BinNat_N_even_2'#@#variant 'hl/thm/nums/ZERO_DEF_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_nle' 'hl/thm/arith/NOT_LT_'
0. 'coq/Coq_ZArith_Zpow_facts_Zpower_pos_0_l' 'hl/thm/int/INT_POW_ONE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_sub_r' 'hl/thm/Complex/cpoly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_ZArith_Zpow_facts_Zpower_pos_pos'#@#variant 'hl/thm/real/REAL_POW_LT_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_lt_trans' 'hl/thm/realarith/REAL_LET_TRANS_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_0_l' 'hl/thm/realax/REAL_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_le_mono' 'hl/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_min_l' 'hl/thm/int/INT_MIN_MIN_/0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_Even_or_Odd' 'hl/thm/arith/EVEN_OR_ODD_'
0. 'coq/Coq_ZArith_BinInt_Z_max_le_compat_l' 'hl/thm/Library/integer/INT_DIVIDES_MUL_L_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_pos' 'hl/thm/int/INT_SGN_INEQS_3'#@#variant
0. 'coq/Coq_Reals_RIneq_Rplus_opp_l' 'hl/thm/int/INT_ADD_LINV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_add' 'hl/thm/real/REAL_SUB_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_opp' 'hl/thm/int/INT_SGN_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_eq_mul_m1'#@#variant 'hl/thm/arith/ADD1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_cancel_r' 'hl/thm/arith/EQ_ADD_RCANCEL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_max_le_compat_r' 'hl/thm/realax/HREAL_LE_MUL_RCANCEL_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_refl' 'hl/thm/Multivariate/misc/GE_REFL_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_0' 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_lt_mono_l' 'hl/thm/arith/LE_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_0_l' 'hl/thm/realax/REAL_MUL_LID_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_le_mono_r' 'hl/thm/int/INT_LT_RADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_odd_1'#@#variant 'hl/thm/Multivariate/complexes/RE_II_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_nle_gt' 'hl/thm/arith/NOT_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_ge_cases' 'hl/thm/realarith/REAL_LET_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_sub' 'hl/thm/real/REAL_SUB_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lxor_m1_l'#@#variant 'hl/thm/int/INT_NEG_MINUS1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_pos'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_POS_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mod_1_r'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_ge_le_iff' 'hl/thm/arith/GE_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_lt_mono_r' 'hl/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_lt_lin'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_lt_mono_pos_r'#@#variant 'hl/thm/real/REAL_LE_DIV2_EQ_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_min_lt_iff' 'hl/thm/real/REAL_MIN_LE_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_m1'#@#variant 'hl/thm/Multivariate/complexes/IM_II_'#@#variant
0. 'coq/Coq_Reals_R_sqr_Rsqr_abs' 'hl/thm/Multivariate/vectors/SQRT_WORKS_GEN_/0'
0. 'coq/Coq_ZArith_Znat_Zabs2N_inj_neg' 'hl/thm/int/int_of_num_th_'
0. 'coq/Coq_QArith_Qreduction_Qred_opp' 'hl/thm/Library/transc/ATN_NEG_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_lt_lin'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_LE_X_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_lt_mono_pos_r'#@#variant 'hl/thm/real/REAL_LT_DIV2_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_diag' 'hl/thm/real/REAL_MIN_ACI_3'
0. 'coq/Coq_NArith_BinNat_N_gcd_divide_iff' 'hl/thm/real/REAL_LT_MIN_'
0. 'coq/Coq_PArith_BinPos_Pos_le_max_r' 'hl/thm/real/REAL_MAX_MAX_/1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_nonneg'#@#variant 'hl/thm/Library/integer/INT_PRIME_ABS_'
0. 'coq/Coq_PArith_BinPos_Pos_mul_le_mono_r' 'hl/thm/int/INT_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_nonneg' 'hl/thm/Multivariate/transcendentals/ATN_BOUNDS_/0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_lcm_l' 'hl/thm/arith/LE_ADD_'
0. 'coq/Coq_PArith_BinPos_Pos_le_1_l' 'hl/thm/Library/prime/DIVIDES_1_'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qcmult_1_l'#@#variant 'hl/thm/realax/HREAL_ADD_LID_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_le_lt_trans' 'hl/thm/realarith/REAL_LET_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_le_compat_r' 'hl/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_eq_0' 'hl/thm/int/INT_ENTIRE_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_irrefl' 'hl/thm/realarith/REAL_LT_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_lt_mono_nonneg'#@#variant 'hl/thm/Library/analysis/REAL_LT_MUL2_ALT_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_pos' 'hl/thm/real/REAL_SGN_INEQS_3'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_neg_xO'#@#variant 'hl/thm/Multivariate/complexes/CX_INV_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_lt_iff' 'hl/thm/int/INT_MIN_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_lt_mono_r_iff'#@#variant 'hl/thm/Library/analysis/REAL_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_inj_wd' 'hl/thm/int/INT_EQ_NEG2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lor_0_l' 'hl/thm/arith/ADD_CLAUSES_0'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_nge' 'hl/thm/realax/real_lt_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lor_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_even_0' 'hl/thm/nums/ZERO_DEF_'
0. 'coq/Coq_Arith_Mult_mult_le_compat_r' 'hl/thm/Library/integer/INT_DIVIDES_MUL_R_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_lt_iff' 'hl/thm/int/INT_MIN_LT_'
0. 'coq/Coq_Reals_Rfunctions_R_dist_refl' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_le_mono_r_iff'#@#variant 'hl/thm/Library/analysis/REAL_LE_LMUL_LOCAL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_le_mono_r' 'hl/thm/int/INT_LE_RADD_'
0. 'coq/Coq_NArith_BinNat_N_lt_trichotomy' 'hl/thm/arith/LT_CASES_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_lt' 'hl/thm/realax/HREAL_OF_NUM_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_divide_cancel_r' 'hl/thm/Library/integer/INT_DIVIDES_RMUL2_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_eq_mul_0' 'hl/thm/realarith/REAL_ENTIRE_'#@#variant
0. 'coq/Coq_QArith_Qabs_Qabs_pos'#@#variant 'hl/thm/Library/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rplus_lt_compat_r' 'hl/thm/Library/prime/LESS_MONO_ADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_eq_cases' 'hl/thm/realarith/REAL_LE_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_square_spec' 'hl/thm/real/REAL_MUL_2_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_asymm' 'hl/thm/real/REAL_LT_ANTISYM_'
0. 'coq/Coq_Reals_Exp_prop_div2_not_R0'#@#variant 'hl/thm/Library/pratt/PHI_LOWERBOUND_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftr_div_pow2'#@#variant 'hl/thm/int/INT_SUB_'
0. 'coq/Coq_Reals_Rbasic_fun_Rle_min_compat_r' 'hl/thm/realax/HREAL_LE_MUL_RCANCEL_IMP_'
0. 'coq/Coq_ZArith_Zorder_Zplus_gt_compat_r' 'hl/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_involutive' 'hl/thm/calc_int/REAL_NEG_NEG_'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_le_mono' 'hl/thm/Multivariate/transcendentals/ATN_MONO_LT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_shuffle3' 'hl/thm/int/INT_MUL_AC_2'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_le_mono_r' 'hl/thm/realax/HREAL_LE_ADD_RCANCEL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_add_diag_r' 'hl/thm/real/REAL_MAX_MAX_/0'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_cancel_r' 'hl/thm/arith/EQ_ADD_RCANCEL_'
0. 'coq/Coq_NArith_BinNat_N_lxor_nilpotent' 'hl/thm/int/INT_SUB_REFL_'#@#variant
0. 'coq/Coq_Arith_Plus_plus_le_compat_l' 'hl/thm/realax/NADD_LE_LMUL_'
0. 'coq/Coq_ZArith_BinInt_Z_le_ngt' 'hl/thm/int/INT_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_divide_cancel_r' 'hl/thm/Library/prime/DIVIDES_EXP2_EQ_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lcm_divide_iff' 'hl/thm/int/INT_MAX_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_le_compat_l' 'hl/thm/real/REAL_LT_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_0_discr' 'hl/thm/Complex/complex_transc/CEXP_NONZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_nonneg_l'#@#variant 'hl/thm/real/REAL_LE_LMUL_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_oppc' 'hl/thm/Complex/complexnumbers/CX_INV_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_le_mono' 'hl/thm/Library/transc/ATN_MONO_LT_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_le_compat_r' 'hl/thm/realax/NADD_LE_RMUL_'
0. 'coq/Coq_NArith_BinNat_N_divide_refl' 'hl/thm/realax/TREAL_EQ_REFL_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_div2_double'#@#variant 'hl/thm/arith/PRE_1'
0. 'coq/Coq_NArith_BinNat_N_add_le_mono_l' 'hl/thm/arith/LE_ADD_LCANCEL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_glb_iff' 'hl/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_cancel_l' 'hl/thm/calc_int/REAL_EQ_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_succ_not_1' 'hl/thm/nums/IND_SUC_0_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_lxor_r' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_le_lin'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_LT_X_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Zmult_succ_l_reverse' 'hl/thm/arith/MULT_1'
0. 'coq/Coq_NArith_BinNat_N_shiftl_mul_pow2'#@#variant 'hl/thm/Complex/complexnumbers/complex_div_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_le_iff' 'hl/thm/real/REAL_MIN_LT_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_sub' 'hl/thm/real/REAL_SUB_ADD_'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_succ' 'hl/thm/Multivariate/transcendentals/CX_SIN_'#@#variant
0. 'coq/Coq_Reals_RIneq_Ropp_mult_distr_r_reverse' 'hl/thm/real/REAL_NEG_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_add_lt_sub_r' 'hl/thm/real/REAL_LT_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_succ_l' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_LMUL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_nle_gt' 'hl/thm/int/INT_NOT_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_quot_mul' 'hl/thm/Complex/complexnumbers/COMPLEX_DIV_RMUL_'#@#variant
0. 'coq/Coq_ZArith_Zdiv_Zdiv_0_r' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RZERO_'#@#variant
0. 'coq/Coq_QArith_QOrderedType_QOrder_not_ge_lt' 'hl/thm/arith/LET_CASES_'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tmult_comm_stable' 'hl/thm/Library/multiplicative/MULTIPLICATIVE_TAU_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_inj_wd' 'hl/thm/real/REAL_EQ_INV2_'
0. 'coq/Coq_QArith_QArith_base_Qmult_le_l'#@#variant 'hl/thm/Library/analysis/REAL_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_Init_Peano_le_pred' 'hl/thm/realax/NADD_INV_WELLDEF_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_nge' 'hl/thm/int/INT_NOT_LT_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_xI_succ_xO' 'hl/thm/calc_num/ARITH_9'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_shuffle3' 'hl/thm/int/INT_MUL_AC_2'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_lt_mono_l' 'hl/thm/arith/DIV_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_pos'#@#variant 'hl/thm/Library/transc/LN_POS_LT_'#@#variant
0. 'coq/Coq_NArith_Ndist_ni_min_inf_l' 'hl/thm/int/INT_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_nle' 'hl/thm/int/INT_NOT_LT_'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_div2' 'hl/thm/int/int_sgn_th_'
0. 'coq/Coq_ZArith_Zpow_facts_Zpower_pos_pos'#@#variant 'hl/thm/Library/floor/INTEGER_POW_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_eq_0' 'hl/thm/Complex/complexnumbers/COMPLEX_ENTIRE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lor_0_l' 'hl/thm/realax/REAL_MUL_LID_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z2Pos_inj_succ'#@#variant 'hl/thm/Multivariate/transcendentals/CX_LOG_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_sub_lt_add_r' 'hl/thm/int/INT_LT_SUB_RADD_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_sqrt' 'hl/thm/Complex/complex_transc/CX_CCOS_'
0. 'coq/Coq_NArith_BinNat_N_lt_0_succ' 'hl/thm/Multivariate/transcendentals/ATN_BOUNDS_/0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pred_succ' 'hl/thm/Library/transc/ATN_TAN_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_le_compat_l' 'hl/thm/realax/NADD_MUL_WELLDEF_LEMMA_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_succ_diag_r' 'hl/thm/arith/LT_POW2_REFL_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_glb_iff' 'hl/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_lt_mono_pos_r'#@#variant 'hl/thm/real/REAL_LT_RMUL_EQ_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_le' 'hl/thm/realax/HREAL_OF_NUM_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_div2_double'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_EXP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_le_mono_r_iff'#@#variant 'hl/thm/real/REAL_LE_LMUL_EQ_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_shuffle3' 'hl/thm/int/INT_MUL_AC_2'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_max_r' 'hl/thm/int/INT_MAX_MAX_/1'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_le_mono' 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_le_mono' 'hl/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_le_mono_nonneg_l'#@#variant 'hl/thm/real/REAL_LT_LMUL_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_pred_succ' 'hl/thm/Library/transc/LN_EXP_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_succ_r' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_2' 'hl/thm/realax/HREAL_INV_0_'
0. 'coq/Coq_QArith_QArith_base_Qnot_lt_le' 'hl/thm/arith/LET_CASES_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_nonpos_nonneg'#@#variant 'hl/thm/int/INT_NEG_LT0_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_pos'#@#variant 'hl/thm/Library/integer/INT_PRIME_ABS_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_pos_cancel_r'#@#variant 'hl/thm/int/INT_LT_MUL_EQ_1'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lcm_comm' 'hl/thm/realax/TREAL_MUL_SYM_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_null_iff' 'hl/thm/int/INT_SGN_INEQS_9'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_lt' 'hl/thm/int/INT_OF_NUM_LE_'
0. 'coq/Coq_Reals_Rbasic_fun_Rmax_Rle' 'hl/thm/real/REAL_LE_MAX_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_succ_inj_wd' 'hl/thm/calc_num/ARITH_48'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_le_mono_l' 'hl/thm/arith/LT_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lxor_nonneg'#@#variant 'hl/thm/arith/EVEN_ADD_'
0. 'coq/Coq_ZArith_BinInt_Z_add_simpl_l' 'hl/thm/arith/ADD_SUB2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LE_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_sub_r' 'hl/thm/Library/prime/DIVIDES_SUB_'
0. 'coq/Coq_NArith_Nnat_N2Nat_id' 'hl/thm/Multivariate/vectors/LIFT_DROP_0'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_sin_ge_0'#@#variant 'hl/thm/Multivariate/transcendentals/COS_POS_PI2_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Ropp_Rmax' 'hl/thm/Multivariate/transcendentals/REAL_EXP_SUB_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_mod' 'hl/thm/arith/MOD_MULT_MOD2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_1_l' 'hl/thm/arith/ADD_CLAUSES_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_pred_l' 'hl/thm/Library/floor/FLOOR_/1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_nonpos' 'hl/thm/int/INT_SGN_INEQS_8'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_le_mono' 'hl/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Reals_RIneq_Ropp_div' 'hl/thm/Multivariate/transcendentals/RPOW_INV_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_1' 'hl/thm/Library/pocklington/PHI_0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sub_le_mono_r' 'hl/thm/Library/prime/DIVIDES_EXP_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_add_r' 'hl/thm/Library/integer/INT_DIVIDES_ADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_nonneg'#@#variant 'hl/thm/Library/analysis/REAL_LT_MUL2_ALT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ge_le_iff' 'hl/thm/realax/real_gt_'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tplus_permute_stable' 'hl/thm/Library/multiplicative/MULTIPLICATIVE_PHI_'
0. 'coq/__constr_Coq_Init_Peano_le_0_1' 'hl/thm/realax/HREAL_LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_0_l' 'hl/thm/realax/REAL_MUL_LID_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lnot_ones' 'hl/thm/int/INT_ADD_LINV_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_le_succ_diag_r' 'hl/thm/real/REAL_ABS_LE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_le_incl' 'hl/thm/realarith/REAL_LT_IMP_LE_'
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_sub_r' 'hl/thm/Library/integer/INT_DIVIDES_ADD_'
0. 'coq/Coq_NArith_BinNat_N_lt_ge_cases' 'hl/thm/realarith/REAL_LET_TOTAL_'
0. 'coq/Coq_ZArith_Znumtheory_Zdivide_bounds' 'hl/thm/Library/integer/INT_DIVIDES_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_le_compat_l' 'hl/thm/realax/TREAL_LE_LADD_IMP_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_gcd_divide_iff' 'hl/thm/real/REAL_LT_MIN_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_cancel_r' 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftl_mul_pow2'#@#variant 'hl/thm/Complex/complexnumbers/complex_div_'
0. 'coq/Coq_NArith_BinNat_N_le_lt_trans' 'hl/thm/realarith/REAL_LET_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_r' 'hl/thm/Library/integer/INT_DIVIDES_MUL_R_'
0. 'coq/Coq_NArith_BinNat_N_pred_div2_up' 'hl/thm/Multivariate/complexes/IM_CNJ_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_cancel_l' 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_ADD_LCANCEL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_involutive' 'hl/thm/int/INT_NEGNEG_'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_le_mono' 'hl/thm/Library/transc/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lcm_0_r' 'hl/thm/arith/MULT_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_pow' 'hl/thm/Multivariate/transcendentals/RPOW_INV_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pred_le_mono' 'hl/thm/Library/floor/FLOOR_MONO_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_le_compat_l' 'hl/thm/Library/prime/DIVIDES_MUL_L_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_ge_le_iff' 'hl/thm/int/INT_GE_'
0. 'coq/Coq_ZArith_BinInt_Z_succ_inj_wd' 'hl/thm/calc_num/ARITH_54'
0. 'coq/Coq_NArith_BinNat_N_log2_pos'#@#variant 'hl/thm/Library/pocklington/PHI_LOWERBOUND_1_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rle_refl' 'hl/thm/realax/NADD_LE_REFL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_odd_2'#@#variant 'hl/thm/nums/ZERO_DEF_'
0. 'coq/Coq_ZArith_Znat_Zabs2Nat_id' 'hl/thm/Complex/complexnumbers/complex_tybij_1'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lcm_divide_iff' 'hl/thm/int/INT_MAX_LT_'
0. 'coq/Coq_NArith_BinNat_N_lnot_ones' 'hl/thm/realax/REAL_ADD_LINV_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_2' 'hl/thm/Library/transc/TAN_0_'
0. 'coq/Coq_Reals_Rprod_le_n_2n'#@#variant 'hl/thm/Library/analysis/LESS_SUC_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_le_mono_l' 'hl/thm/int/INT_LE_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_neg'#@#variant 'hl/thm/real/REAL_NEG_LT0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_max_distr' 'hl/thm/Library/transc/REAL_EXP_SUB_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_nonneg_l'#@#variant 'hl/thm/int/INT_LE_LMUL_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zle_not_lt' 'hl/thm/arith/LET_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_le_mono' 'hl/thm/Library/transc/ATN_MONO_LT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div2_nonneg'#@#variant 'hl/thm/Library/integer/INT_PRIME_ABS_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_le' 'hl/thm/int/INT_OF_NUM_LE_'
0. 'coq/Coq_NArith_BinNat_N_le_sub_l' 'hl/thm/Library/analysis/SUB_LESS_EQ_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_shuffle3' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_AC_2'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_sub_le_add_r' 'hl/thm/Library/analysis/SUB_LEFT_GREATER_EQ_'
0. 'coq/Coq_QArith_Qcanon_Qcle_not_lt' 'hl/thm/int/INT_LET_ANTISYM_'
0. 'coq/Coq_ZArith_BinInt_Z_divide_1_l'#@#variant 'hl/thm/arith/LE_0_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lxor_nilpotent' 'hl/thm/int/INT_SUB_REFL_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_square_spec' 'hl/thm/arith/BIT0_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_1_l'#@#variant 'hl/thm/int/INT_MUL_LID_'#@#variant
0. 'coq/Coq_Reals_Exp_prop_exp_pos_pos'#@#variant 'hl/thm/Library/pocklington/PHI_LOWERBOUND_1_STRONG_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_add_le_sub_r' 'hl/thm/real/REAL_LE_SUB_LADD_'
0. 'coq/Coq_Reals_RIneq_Rinv_r' 'hl/thm/real/REAL_MUL_RINV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_ge_cases' 'hl/thm/int/INT_LTE_TOTAL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_1_l' 'hl/thm/arith/ADD_CLAUSES_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_gt_cases' 'hl/thm/real/REAL_NOT_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_le_compat_l' 'hl/thm/real/REAL_LT_LADD_IMP_'
0. 'coq/Coq_ZArith_BinInt_Z_log2_le_mono' 'hl/thm/Library/floor/FLOOR_MONO_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_ge_cases' 'hl/thm/int/INT_LE_TOTAL_'
0. 'coq/Coq_Reals_Rminmax_R_max_le_compat_r' 'hl/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_succ_inj_wd' 'hl/thm/Multivariate/transcendentals/REAL_EXP_INJ_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sub_le_mono_r' 'hl/thm/realax/HREAL_LE_MUL_RCANCEL_IMP_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_pos'#@#variant 'hl/thm/Library/pocklington/PHI_LOWERBOUND_1_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_inv_norm' 'hl/thm/Multivariate/complexes/REAL_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ldiff_m1_r'#@#variant 'hl/thm/Library/prime/INDEX_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_lt_mono'#@#variant 'hl/thm/Library/analysis/REAL_LT_MUL2_ALT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_div2_double'#@#variant 'hl/thm/arith/PRE_1'
0. 'coq/Coq_Reals_Rbasic_fun_Rle_max_compat_l' 'hl/thm/realax/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_le_compat_r' 'hl/thm/Library/integer/INT_DIVIDES_MUL_R_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lor_diag' 'hl/thm/real/REAL_MAX_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mod_1_r'#@#variant 'hl/thm/arith/EXP_0'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qplus_lt_r' 'hl/thm/arith/LT_ADD_LCANCEL_'
0. 'coq/Coq_Reals_RIneq_Rplus_lt_compat_r' 'hl/thm/realax/HREAL_LE_MUL_RCANCEL_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_lcm_l' 'hl/thm/arith/LE_ADD_'
0. 'coq/Coq_NArith_BinNat_N_mul_1_l'#@#variant 'hl/thm/realax/REAL_MUL_LID_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_le_mono_pos_r'#@#variant 'hl/thm/real/REAL_LE_DIV2_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_land' 'hl/thm/Library/transc/REAL_EXP_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_opp_r' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lcm_eq_0' 'hl/thm/realarith/REAL_ENTIRE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_pos_nonneg'#@#variant 'hl/thm/int/INT_LTE_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_min_r' 'hl/thm/Library/prime/INDEX_TRIVIAL_BOUND_'
0. 'coq/Coq_Reals_R_sqr_Rsqr_neg' 'hl/thm/real/REAL_SGN_INV_'
0. 'coq/Coq_QArith_Qcanon_Qclt_le_weak' 'hl/thm/int/INT_LT_IMP_LE_'
0. 'coq/Coq_ZArith_BinInt_Z_ldiff_m1_l'#@#variant 'hl/thm/int/INT_NEG_MINUS1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_le_mono' 'hl/thm/realax/NADD_INV_WELLDEF_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_le_compat_l' 'hl/thm/realax/NADD_LE_LMUL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_lor' 'hl/thm/Multivariate/transcendentals/REAL_EXP_ADD_'
0. 'coq/Coq_ZArith_Zorder_Zsucc_le_compat' 'hl/thm/realax/NADD_INV_WELLDEF_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_add_r' 'hl/thm/Library/prime/DIVIDES_ADD_'
0. 'coq/Coq_NArith_BinNat_N_log2_up_le_mono' 'hl/thm/realax/NADD_INV_WELLDEF_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_pos'#@#variant 'hl/thm/real/REAL_LE_INV_EQ_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_succ_diag_r' 'hl/thm/real/REAL_ABS_LE_'
0. 'coq/Coq_Arith_PeanoNat_Nat_min_glb_lt' 'hl/thm/Library/prime/DIVIDES_ADD_'
0. 'coq/Coq_ZArith_BinInt_Z_add_opp_r' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lcm_1_l'#@#variant 'hl/thm/realax/REAL_ADD_LID_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lnot_neg'#@#variant 'hl/thm/real/REAL_NEG_LE0_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_1_r'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_trichotomy' 'hl/thm/real/REAL_LT_TOTAL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div_mul' 'hl/thm/real/REAL_DIV_RMUL_'#@#variant
0. 'coq/Coq_Arith_Min_min_0_r' 'hl/thm/int/INT_MUL_RZERO_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_inv_norm' 'hl/thm/Library/transc/SQRT_POS_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_greatest' 'hl/thm/Library/integer/INT_DIVIDES_SUB_'
0. 'coq/Coq_ZArith_BinInt_Z_divide_sub_r' 'hl/thm/Library/prime/DIVIDES_ADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_min_id' 'hl/thm/real/REAL_MAX_ACI_3'
0. 'coq/Coq_QArith_Qpower_Qpower_pos'#@#variant 'hl/thm/int/INT_POW_LE_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_pos'#@#variant 'hl/thm/Library/floor/RATIONAL_NEG_EQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_log2_log2_up' 'hl/thm/Multivariate/transcendentals/REAL_EXP_LE_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lor_0_l' 'hl/thm/int/INT_ADD_LID_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sub_succ_l' 'hl/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_refl' 'hl/thm/Library/integer/INT_DIVIDES_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_even_1'#@#variant 'hl/thm/Multivariate/complexes/IM_II_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_min_glb_lt_iff' 'hl/thm/int/INT_LE_MIN_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_divide_mono_r' 'hl/thm/arith/EXP_MONO_LE_IMP_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_log2' 'hl/thm/Multivariate/transcendentals/CX_EXP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_lor' 'hl/thm/Library/transc/REAL_EXP_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_le_compat_r' 'hl/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_ZArith_Zpower_two_power_nat_S'#@#variant 'hl/thm/int/int_neg_th_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_nle_gt' 'hl/thm/arith/NOT_LT_'
0. 'coq/Coq_ZArith_Znat_Zabs2Nat_inj_pos' 'hl/thm/int/int_of_num_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div_mul' 'hl/thm/Complex/complexnumbers/COMPLEX_DIV_RMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lxor_0_l' 'hl/thm/int/INT_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_lcm_l' 'hl/thm/int/INT_MAX_MAX_/0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_opp_l' 'hl/thm/int/INT_MUL_LNEG_'
0. 'coq/Coq_ZArith_Zorder_not_Zeq' 'hl/thm/arith/LT_CASES_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_lt' 'hl/thm/int/int_le_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_gt_lt_iff' 'hl/thm/realax/real_gt_'
0. 'coq/Coq_Reals_Rfunctions_powerRZ_lt'#@#variant 'hl/thm/real/REAL_POW_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_asymm' 'hl/thm/real/REAL_LT_GT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_lcm_l' 'hl/thm/arith/LE_ADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_lt_mono_pos_r'#@#variant 'hl/thm/int/INT_LT_RMUL_EQ_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rle_min_compat_l' 'hl/thm/real/REAL_LT_LADD_IMP_'
0. 'coq/Coq_Init_Peano_le_n_S' 'hl/thm/realax/NADD_INV_WELLDEF_'
0. 'coq/Coq_Reals_RList_RList_P1' 'hl/thm/Multivariate/complexes/REAL_POW_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_2'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_add_r' 'hl/thm/realax/HREAL_LE_ADD_'
0. 'coq/Coq_ZArith_Znat_Zabs2N_id' 'hl/thm/Multivariate/vectors/LIFT_DROP_1'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_nge' 'hl/thm/int/INT_NOT_LT_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_glb_iff' 'hl/thm/int/INT_LE_MIN_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_xO'#@#variant 'hl/thm/Multivariate/transcendentals/CX_ATN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_even_1'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_lub_lt_iff' 'hl/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_Arith_PeanoNat_Nat_min_0_r' 'hl/thm/Library/pocklington/ORDER_1_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_square' 'hl/thm/int/int_abs_th_'
0. 'coq/Coq_NArith_Ndist_ni_le_refl' 'hl/thm/realax/TREAL_EQ_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_total' 'hl/thm/Library/prime/LESS_LESS_CASES_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_opp_r' 'hl/thm/int/INT_MUL_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_reg_r' 'hl/thm/real/REAL_EQ_RCANCEL_IMP_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_rem_opp_l_prime' 'hl/thm/Multivariate/transcendentals/REAL_ABS_RPOW_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_total' 'hl/thm/Library/analysis/LESS_CASES_IMP_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pow_lt_mono_r_iff'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LE_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lcm_diag' 'hl/thm/real/REAL_MAX_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_pow' 'hl/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_pos'#@#variant 'hl/thm/Library/floor/FLOOR_POS_LE_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_min_r' 'hl/thm/Library/prime/INDEX_TRIVIAL_BOUND_'
0. 'coq/Coq_ZArith_BinInt_Z_nle_gt' 'hl/thm/realarith/REAL_NOT_LT_'
0. 'coq/Coq_Reals_Rbasic_fun_Rle_min_compat_r' 'hl/thm/Library/prime/DIVIDES_EXP_'
0. 'coq/Coq_Reals_Rminmax_R_max_lub_iff' 'hl/thm/int/INT_MAX_LE_'
0. 'coq/Coq_ZArith_Znat_Z2N_inj_0' 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant
0. 'coq/Coq_Reals_Rfunctions_powerRZ_NOR' 'hl/thm/Library/transc/POW_ZERO_'#@#variant
0. 'coq/Coq_ZArith_Zeven_Zeven_Sn' 'hl/thm/Library/transc/LN_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_le_iff' 'hl/thm/real/REAL_MIN_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_pos'#@#variant 'hl/thm/Library/pocklington/PHI_LOWERBOUND_2_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_sin_ge_0'#@#variant 'hl/thm/Multivariate/transcendentals/TAN_POS_PI2_LE_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_divide' 'hl/thm/int/int_lt_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_lt_mono_r' 'hl/thm/arith/LE_ADD_RCANCEL_'
0. 'coq/Coq_Reals_RIneq_Rplus_ge_compat_l' 'hl/thm/Library/integer/INT_DIVIDES_MUL_L_'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_double'#@#variant 'hl/thm/Complex/complex_transc/CX_CEXP_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_diag' 'hl/thm/arith/BIT0_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_shuffle3' 'hl/thm/int/INT_MIN_ACI_2'
0. 'coq/Coq_Reals_Exp_prop_exp_pos_pos'#@#variant 'hl/thm/Library/floor/RATIONAL_INV_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_pos'#@#variant 'hl/thm/Library/transc/ATN_POS_LE_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_2' 'hl/thm/Library/transc/TAN_0_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_max_l' 'hl/thm/realax/HREAL_LE_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftl_mul_pow2'#@#variant 'hl/thm/realax/real_div_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_2' 'hl/thm/Library/transc/SIN_0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_le_compat_r' 'hl/thm/Library/prime/DIVIDES_MUL_R_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_succ_inj_wd' 'hl/thm/Library/transc/REAL_EXP_INJ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_pow' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_0_r' 'hl/thm/Library/prime/INDEX_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_neq_succ_0' 'hl/thm/nums/NOT_SUC_'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_le' 'hl/thm/int/int_le_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_le_mono' 'hl/thm/Library/floor/FLOOR_MONO_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_pow2'#@#variant 'hl/thm/Library/transc/EXP_LN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_le_mono' 'hl/thm/realax/NADD_INV_WELLDEF_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_lub_l' 'hl/thm/Library/integer/INT_DIVIDES_RMUL2_'
0. 'coq/Coq_PArith_BinPos_Pos_lt_nle' 'hl/thm/realax/real_lt_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_pos_cancel_r'#@#variant 'hl/thm/Library/analysis/REAL_LT_RDIV_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_le_mono_r' 'hl/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lcm_diag' 'hl/thm/int/INT_MIN_ACI_3'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_nle' 'hl/thm/int/INT_NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_eq_mul_0' 'hl/thm/int/INT_ENTIRE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_add_r' 'hl/thm/Library/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_QArith_Qminmax_Q_max_assoc' 'hl/thm/realax/TREAL_MUL_ASSOC_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_log2_2' 'hl/thm/Library/calc_real/REAL_EXP_13_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_Zpos' 'hl/thm/int/INT_OF_NUM_GE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_nonneg'#@#variant 'hl/thm/real/REAL_SGN_INEQS_1'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_land_0_r' 'hl/thm/arith/MULT_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_add_r' 'hl/thm/arith/LE_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_0_l' 'hl/thm/realax/HREAL_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_nge' 'hl/thm/int/INT_NOT_LT_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_log2_1' 'hl/thm/Library/calc_real/REAL_EXP_13_'#@#variant
0. 'coq/Coq_Reals_Ratan_ps_atan_opp' 'hl/thm/Multivariate/transcendentals/CNJ_CCOS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_1_l'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_div2_div'#@#variant 'hl/thm/arith/ADD1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_add_le' 'hl/thm/real/REAL_ABS_TRIANGLE_'
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_2' 'hl/thm/Library/transc/SIN_0_'
0. 'coq/Coq_Reals_Rminmax_R_min_le_compat_r' 'hl/thm/Library/analysis/LESS_MONO_ADD_'
0. 'coq/Coq_NArith_BinNat_N_mul_0_r' 'hl/thm/Library/prime/INDEX_0_'#@#variant
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_pred' 'hl/thm/Multivariate/transcendentals/CX_TAN_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_opp_r' 'hl/thm/Complex/complexnumbers/complex_sub_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_lub_lt_iff' 'hl/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_odd_0' 'hl/thm/Multivariate/complexes/IM_II_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lt_add_lt_sub_r' 'hl/thm/real/REAL_LT_SUB_LADD_'
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_pos'#@#variant 'hl/thm/Library/floor/INTEGER_ABS_'
0. 'coq/Coq_ZArith_BinInt_Z_lnot_neg'#@#variant 'hl/thm/real/REAL_NEG_LT0_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_lcm_r' 'hl/thm/int/INT_MAX_MAX_/1'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_lub_iff' 'hl/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_opp' 'hl/thm/Multivariate/transcendentals/CX_COS_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lt_sub_lt_add_r' 'hl/thm/int/INT_LE_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_lt_mono_r' 'hl/thm/int/INT_LT_RADD_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_lt' 'hl/thm/real/REAL_OF_NUM_GE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_add_lt_sub_r' 'hl/thm/int/INT_LE_SUB_RADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lcm_0_r' 'hl/thm/arith/MULT_0_'#@#variant
0. 'coq/Coq_ZArith_Zdiv_Zdiv_opp_opp' 'hl/thm/int/INT_NEG_MUL2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_add_cancel_r' 'hl/thm/Complex/cpoly/POLY_DIVIDES_SUB_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zsucc_gt_compat' 'hl/thm/Multivariate/transcendentals/ATN_MONO_LT_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mod_0_l' 'hl/thm/arith/MOD_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_1_r' 'hl/thm/Library/prime/INDEX_0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_pos'#@#variant 'hl/thm/Library/integer/INT_PRIME_NEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pred_div2_up' 'hl/thm/Multivariate/transcendentals/CX_COS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_lt_mono_nonneg'#@#variant 'hl/thm/Library/analysis/REAL_LT_MUL2_ALT_'#@#variant
0. 'coq/Coq_Reals_Rprod_INR_fact_lt_0'#@#variant 'hl/thm/Multivariate/transcendentals/RE_CASN_BOUNDS_/0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_succ_inj_wd' 'hl/thm/calc_num/ARITH_48'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_min_l' 'hl/thm/real/REAL_MIN_MIN_/0'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_lt_mono_l_iff' 'hl/thm/Library/prime/DIVIDES_EXP2_EQ_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_glb_iff' 'hl/thm/real/REAL_LT_MIN_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_r' 'hl/thm/arith/EXP_MONO_LE_IMP_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_pos'#@#variant 'hl/thm/int/INT_SGN_INEQS_1'#@#variant
0. 'coq/Coq_NArith_BinNat_N_succ_inj_wd' 'hl/thm/Complex/complexnumbers/CNJ_INJ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_sgn' 'hl/thm/real/REAL_ABS_ABS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_lt_mono_pos_r'#@#variant 'hl/thm/int/INT_LT_RMUL_EQ_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_nonneg'#@#variant 'hl/thm/real/REAL_LE_MUL2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ge_le_iff' 'hl/thm/arith/GT_'
0. 'coq/Coq_NArith_BinNat_N_even_2'#@#variant 'hl/thm/Multivariate/complexes/IM_II_'#@#variant
0. 'coq/Coq_Reals_Raxioms_Rplus_0_l' 'hl/thm/arith/MULT_CLAUSES_2'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_move_r' 'hl/thm/real/REAL_EQ_SUB_RADD_'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_double'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_INV_'
0. 'coq/Coq_ZArith_Zeven_Zquot2_opp' 'hl/thm/Library/transc/TAN_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_inj_wd' 'hl/thm/Library/prime/CANCEL_TIMES2_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_le_compat_r' 'hl/thm/Library/prime/LESS_MONO_ADD_'
0. 'coq/Coq_Reals_RIneq_Rplus_ne/1' 'hl/thm/realax/REAL_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_nonneg'#@#variant 'hl/thm/Library/floor/INTEGER_ABS_'
0. 'coq/Coq_Reals_RIneq_Rgt_not_ge' 'hl/thm/real/REAL_LET_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_abs_r' 'hl/thm/Library/integer/INT_DIVIDES_RABS_'
0. 'coq/Coq_NArith_Ndist_ni_min_inf_l' 'hl/thm/realax/HREAL_ADD_LID_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_le_refl' 'hl/thm/realax/TREAL_LE_REFL_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div_0_l' 'hl/thm/arith/MOD_0_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_of_Qc' 'hl/thm/Multivariate/vectors/LIFT_DROP_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lor_diag' 'hl/thm/real/REAL_MAX_ACI_3'
0. 'coq/Coq_Arith_PeanoNat_Nat_min_glb' 'hl/thm/Library/integer/INT_DIVIDES_SUB_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_pos'#@#variant 'hl/thm/real/REAL_LT_INV_EQ_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_double_mul' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_LMUL_'
0. 'coq/Coq_NArith_BinNat_N_lor_diag' 'hl/thm/real/REAL_MAX_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_setbit_spec_prime'#@#variant 'hl/thm/realax/real_sub_'
0. 'coq/Coq_Arith_Min_le_min_r' 'hl/thm/int/INT_MIN_MIN_/1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ldiff_land' 'hl/thm/int/INT_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_sgn' 'hl/thm/int/INT_ABS_ABS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_diag'#@#variant 'hl/thm/Library/analysis/REAL_DOUBLE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_ge_cases' 'hl/thm/arith/LET_CASES_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_mod' 'hl/thm/arith/MOD_ADD_MOD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_shuffle3' 'hl/thm/int/INT_ADD_AC_2'
0. 'coq/Coq_Arith_PeanoNat_Nat_pred_le_mono' 'hl/thm/Multivariate/transcendentals/ATN_MONO_LT_'
0. 'coq/Coq_ZArith_BinInt_Zsucc_pred' 'hl/thm/Library/transc/LN_EXP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_diag' 'hl/thm/Library/analysis/REAL_DOUBLE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_succ_le' 'hl/thm/Library/floor/FLOOR_DOUBLE_/0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_lt_mono_l' 'hl/thm/real/REAL_LE_LADD_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_eq_cases' 'hl/thm/arith/LE_LT_'
0. 'coq/Coq_PArith_BinPos_Pos_add_lt_mono_l' 'hl/thm/int/INT_LE_LADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_stepr' 'hl/thm/arith/LTE_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_pos'#@#variant 'hl/thm/Library/pocklington/EVEN_PHI_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_le_sub_le_add_r' 'hl/thm/int/INT_LE_SUB_RADD_'
0. 'coq/Coq_QArith_QArith_base_Zlt_Qlt' 'hl/thm/realax/REAL_OF_NUM_LE_'
0. 'coq/Coq_NArith_BinNat_N_log2_le_mono' 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_ge_le_iff' 'hl/thm/realax/real_ge_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pred_le_mono' 'hl/thm/Library/transc/ATN_MONO_LT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_pow2'#@#variant 'hl/thm/Multivariate/transcendentals/EXP_LOG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_factor_l' 'hl/thm/realax/HREAL_LE_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_lor' 'hl/thm/Multivariate/transcendentals/REAL_EXP_SUB_'
0. 'coq/Coq_Reals_RIneq_Ropp_0_ge_le_contravar'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_POS_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_neq_0_succ' 'hl/thm/calc_num/ARITH_81'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_succ_r' 'hl/thm/real/REAL_NEG_RMUL_'
0. 'coq/Coq_Arith_Plus_plus_le_compat_r' 'hl/thm/Library/prime/DIVIDES_EXP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_pos'#@#variant 'hl/thm/Library/floor/RATIONAL_INV_EQ_'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_double'#@#variant 'hl/thm/int/int_abs_th_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_opp_norm' 'hl/thm/Library/pratt/PHI_LOWERBOUND_1_STRONG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_le_lt_mono' 'hl/thm/real/REAL_LET_ADD2_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_total' 'hl/thm/int/INT_LT_TOTAL_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_le' 'hl/thm/real/REAL_OF_NUM_GE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_simpl_r' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_ADD_'
0. 'coq/Coq_ZArith_BinInt_Z_lxor_eq_0_iff' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_0_'#@#variant
0. 'coq/Coq_Arith_EqNat_eq_nat_refl' 'hl/thm/realax/TREAL_LE_REFL_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_max_le_compat_l' 'hl/thm/Library/prime/DIVIDES_MUL_L_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_sub_le_add_r' 'hl/thm/real/REAL_LT_ADD_SUB_'
0. 'coq/Coq_ZArith_Zpow_alt_Zpower_alt_0_r'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_eq_0' 'hl/thm/arith/MULT_EQ_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_add_lt_sub_r' 'hl/thm/real/REAL_LT_SUB_RADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_max_l' 'hl/thm/arith/LE_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_lt_mono_l' 'hl/thm/arith/EXP_MONO_LT_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_l' 'hl/thm/int/INT_LE_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_odd_2'#@#variant 'hl/thm/nums/ZERO_DEF_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_add_le' 'hl/thm/int/INT_ABS_TRIANGLE_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_1_l' 'hl/thm/realax/REAL_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_add_cancel_r' 'hl/thm/Library/integer/INT_DIVIDES_ADD_REVR_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_div2' 'hl/thm/Multivariate/transcendentals/CX_EXP_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_opp' 'hl/thm/Library/transc/SIN_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_sub_distr' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_LNEG_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_Zpos' 'hl/thm/realax/TREAL_OF_NUM_LE_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_succ' 'hl/thm/arith/PRE_1'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_gt' 'hl/thm/realax/HREAL_OF_NUM_LE_'
0. 'coq/Coq_QArith_Qreals_Q2R_opp' 'hl/thm/Complex/complex_transc/CX_CCOS_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_ge_cases' 'hl/thm/int/INT_LE_TOTAL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_le_pred' 'hl/thm/Library/analysis/LESS_EQ_IMP_LESS_SUC_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_add_lt_sub_r' 'hl/thm/real/REAL_LE_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sub_le_mono_r' 'hl/thm/Library/prime/DIVIDES_MUL_R_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_le_trans' 'hl/thm/realarith/REAL_LTE_TRANS_'
0. 'coq/Coq_ZArith_BinInt_Z_mod_mod' 'hl/thm/arith/MOD_MOD_REFL_'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_succ' 'hl/thm/Multivariate/transcendentals/CX_ATN_'#@#variant
0. 'coq/Coq_Init_Peano_plus_Sn_m' 'hl/thm/Multivariate/transcendentals/REAL_INV_RPOW_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_0_mul_prime'#@#variant 'hl/thm/arith/LT_MULT_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_pred_le_mono' 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_QArith_Qreduction_Qred_comp' 'hl/thm/Multivariate/transcendentals/ATN_MONO_LT_'
0. 'coq/Coq_NArith_BinNat_N_lcm_eq_0' 'hl/thm/arith/MULT_EQ_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_pred' 'hl/thm/Multivariate/transcendentals/CCOS_CACS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftl_mul_pow2'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_RNEG_'
0. 'coq/Coq_ZArith_BinInt_Z_max_id' 'hl/thm/int/INT_MAX_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_le_mono' 'hl/thm/realax/NADD_INV_WELLDEF_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_lt' 'hl/thm/real/REAL_OF_NUM_LT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_factor_l' 'hl/thm/real/REAL_MAX_MAX_/0'
0. 'coq/Coq_Reals_RIneq_opp_IZR' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_INV_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_refl' 'hl/thm/Library/prime/DIVIDES_REFL_'
0. 'coq/Coq_Reals_Rtrigo_def_sin_antisym' 'hl/thm/int/INT_SGN_NEG_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_diag' 'hl/thm/int/INT_SUB_REFL_'#@#variant
0. 'coq/Coq_Sets_Powerset_facts_Union_associative' 'hl/thm/lists/APPEND_ASSOC_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_rem_0_l' 'hl/thm/arith/MOD_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_nonneg'#@#variant 'hl/thm/real/REAL_LT_MUL2_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_id' 'hl/thm/int/INT_MIN_ACI_3'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_lcm_l' 'hl/thm/int/INT_MAX_MAX_/0'
0. 'coq/Coq_ZArith_BinInt_Z_shiftr_opp_r' 'hl/thm/real/REAL_SUB_RNEG_'
0. 'coq/Coq_Reals_Raxioms_Rmult_1_l' 'hl/thm/arith/MULT_CLAUSES_2'#@#variant
0. 'coq/Coq_Reals_R_sqr_Rsqr_neg' 'hl/thm/Complex/complex_transc/CCOS_NEG_'
0. 'coq/Coq_Reals_Rtrigo1_tan_neg' 'hl/thm/calc_num/ARITH_2'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ldiff_land' 'hl/thm/Complex/complexnumbers/complex_sub_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_lt_mono_r' 'hl/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_div2'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_LE_X_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_pred_l' 'hl/thm/arith/MULT_1'
0. 'coq/Coq_Arith_PeanoNat_Nat_lxor_0_l' 'hl/thm/realax/REAL_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_lub_iff' 'hl/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_nonneg' 'hl/thm/real/REAL_SGN_INEQS_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_le_mono_l' 'hl/thm/realax/HREAL_LE_MUL_RCANCEL_IMP_'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_1_l' 'hl/thm/arith/SUB_0_/0'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LT_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_1'#@#variant 'hl/thm/Multivariate/complexes/IM_II_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_lub_l' 'hl/thm/Library/prime/DIVIDES_RMUL2_'
0. 'coq/Coq_PArith_BinPos_Pos_ge_le_iff' 'hl/thm/arith/GT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_lt_mono_r'#@#variant 'hl/thm/real/REAL_LT_LMUL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_le_compat_r' 'hl/thm/realax/NADD_LE_RMUL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_nlt_ge' 'hl/thm/realarith/REAL_NOT_LT_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_pos_r'#@#variant 'hl/thm/int/INT_LT_RMUL_EQ_'#@#variant
0. 'coq/Coq_Strings_Ascii_ascii_nat_embedding' 'hl/thm/Complex/complexnumbers/complex_tybij_raw_0'#@#variant
0. 'coq/Coq_ZArith_Znat_Z2N_inj_pred' 'hl/thm/Multivariate/complexes/CX_INV_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_add_succ_l' 'hl/thm/Multivariate/transcendentals/REAL_INV_RPOW_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_nonneg_pos'#@#variant 'hl/thm/int/INT_LET_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftr_div_pow2'#@#variant 'hl/thm/int/INT_SUB_RNEG_'
0. 'coq/Coq_NArith_BinNat_N_max_le_iff' 'hl/thm/int/INT_LT_MAX_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_quot_le_mono'#@#variant 'hl/thm/real/REAL_LE_RMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_lt_mono_r' 'hl/thm/realax/HREAL_LE_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_trichotomy' 'hl/thm/int/INT_LT_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_1' 'hl/thm/Library/pratt/PHI_0_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ldiff_diag' 'hl/thm/real/REAL_SUB_REFL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lnot_lor' 'hl/thm/Library/transc/REAL_EXP_SUB_'
0. 'coq/Coq_Reals_Rbasic_fun_Rle_abs' 'hl/thm/Library/analysis/LESS_EQ_SUC_REFL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_le_mono_nonneg_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_odd_spec' 'hl/thm/Multivariate/complexes/real_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_ge' 'hl/thm/realax/HREAL_OF_NUM_LE_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_1'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_pos_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LT_EQ_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_cos_neg' 'hl/thm/Multivariate/vectors/SQRT_WORKS_GEN_/0'
0. 'coq/Coq_QArith_QArith_base_Qeq_refl' 'hl/thm/arith/LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_le_compat_l' 'hl/thm/realax/NADD_MUL_WELLDEF_LEMMA_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_nlt_ge' 'hl/thm/realax/real_lt_'
0. 'coq/Coq_ZArith_Znat_Z2Nat_inj_0' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_sub_lt_add_r' 'hl/thm/real/REAL_LE_SUB_LADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_le_compat_r' 'hl/thm/Library/prime/LESS_MONO_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_gt_cases' 'hl/thm/realarith/REAL_LTE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_opp' 'hl/thm/Multivariate/transcendentals/SIN_NEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_ldiff_diag' 'hl/thm/real/REAL_SUB_REFL_'#@#variant
0. 'coq/Coq_QArith_Qminmax_Q_max_min_distr' 'hl/thm/realax/TREAL_ADD_LDISTRIB_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_odd_1'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_gt' 'hl/thm/int/INT_OF_NUM_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_cancel_l' 'hl/thm/Library/analysis/REAL_EQ_LMUL2_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rplus_ne/1' 'hl/thm/int/INT_MUL_LID_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_divide_lcm_l' 'hl/thm/int/INT_MAX_MAX_/0'
0. 'coq/Coq_ZArith_Zlogarithm_log_inf_correct/0'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_POS_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_land_0_r' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_divide_mul_l' 'hl/thm/Library/prime/DIVIDES_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_refl' 'hl/thm/realax/TREAL_LE_REFL_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zplus_lt_reg_l' 'hl/thm/realax/NADD_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_ge_cases' 'hl/thm/realax/HREAL_LE_TOTAL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_alt_dichotomy' 'hl/thm/realax/HREAL_LE_TOTAL_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_le' 'hl/thm/real/REAL_OF_NUM_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_opp' 'hl/thm/real/REAL_ABS_SGN_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_involutive' 'hl/thm/real/REAL_ABS_ABS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_succ_l' 'hl/thm/arith/LE_SUC_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_succ' 'hl/thm/Multivariate/transcendentals/CSIN_CASN_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_pred_double_spec' 'hl/thm/calc_num/ARITH_4'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_pow2'#@#variant 'hl/thm/Multivariate/transcendentals/EXP_LOG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_nonneg' 'hl/thm/Multivariate/transcendentals/ATN_BOUNDS_/0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_nge' 'hl/thm/int/INT_NOT_LT_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_glb' 'hl/thm/Complex/cpoly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Arith_Mult_mult_lt_compat_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LE_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zsucc_le_compat' 'hl/thm/Multivariate/vectors/SQRT_MONO_LT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_inj_wd' 'hl/thm/Multivariate/transcendentals/ATN_INJ_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_refl' 'hl/thm/Library/prime/DIVIDES_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_pos'#@#variant 'hl/thm/int/INT_SGN_INEQS_0'#@#variant
0. 'coq/Coq_NArith_BinNat_N_eq_0_gt_0_cases'#@#variant 'hl/thm/Library/prime/LESS_0_CASES_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lor_m1_r'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RZERO_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_0_l' 'hl/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_gt_cases' 'hl/thm/int/INT_NOT_EQ_'
0. 'coq/Coq_ZArith_Znat_N2Z_id' 'hl/thm/Multivariate/vectors/LIFT_DROP_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_shuffle3' 'hl/thm/int/INT_MAX_ACI_2'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_ngt' 'hl/thm/arith/NOT_LT_'
0. 'coq/Coq_ZArith_Znat_Z2N_inj_div2' 'hl/thm/Multivariate/transcendentals/CX_TAN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_pos'#@#variant 'hl/thm/Library/integer/INT_PRIME_ABS_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_0_l' 'hl/thm/realax/HREAL_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_0_l' 'hl/thm/int/INT_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lcm_1_l'#@#variant 'hl/thm/realax/HREAL_ADD_LID_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_shuffle3' 'hl/thm/real/REAL_MIN_ACI_2'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_0_r' 'hl/thm/realax/HREAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_min_glb_iff' 'hl/thm/int/INT_LE_MIN_'
0. 'coq/Coq_QArith_QArith_base_Qmult_le_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LT_EQ_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_cancel_r' 'hl/thm/realax/HREAL_EQ_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_divide_l' 'hl/thm/Library/analysis/SUB_LESS_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_setbit_spec_prime'#@#variant 'hl/thm/int/INT_SUB_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_lt_mono_r' 'hl/thm/realax/NADD_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_lub_r' 'hl/thm/Library/prime/DIVIDES_LMUL2_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_succ_inj_wd' 'hl/thm/Library/transc/REAL_EXP_INJ_'
0. 'coq/Coq_NArith_BinNat_N_max_0_l' 'hl/thm/arith/MULT_CLAUSES_2'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_gt_cases' 'hl/thm/int/INT_NOT_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_land_diag' 'hl/thm/real/REAL_MIN_ACI_3'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_refl' 'hl/thm/int/INT_LE_REFL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lor_lnot_diag'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_RINV_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qeq_refl' 'hl/thm/realax/REAL_LE_REFL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_inj_wd' 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_NEG2_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pred_succ' 'hl/thm/arith/PRE_1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_le_mono_pos_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LE_EQ_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_divide_mono_r' 'hl/thm/realax/NADD_LE_RMUL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_le_mono_l' 'hl/thm/Library/prime/DIVIDES_MUL_R_'
0. 'coq/Coq_ZArith_BinInt_Z_div_pos'#@#variant 'hl/thm/realarith/REAL_LTE_ADD_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_div2' 'hl/thm/Multivariate/transcendentals/CX_ATN_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_inj_wd' 'hl/thm/int/INT_EQ_NEG2_'
0. 'coq/Coq_NArith_BinNat_N_gcd_divide_iff' 'hl/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_Reals_RIneq_Rge_ge_eq' 'hl/thm/realax/HREAL_LE_ANTISYM_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_abs' 'hl/thm/Multivariate/transcendentals/CX_COS_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lnot_ldiff' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_pos'#@#variant 'hl/thm/Library/transc/LN_POS_LT_'#@#variant
0. 'coq/Coq_ZArith_Znat_Z2N_inj_div2' 'hl/thm/int/int_abs_th_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_pred_succ' 'hl/thm/Multivariate/transcendentals/LOG_EXP_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_le_compat_r' 'hl/thm/Library/integer/INT_DIVIDES_MUL_R_'
0. 'coq/Coq_QArith_QArith_base_Qle_not_lt' 'hl/thm/int/INT_LET_ANTISYM_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_ge' 'hl/thm/int/INT_OF_NUM_LE_'
0. 'coq/Coq_NArith_BinNat_N_divide_mul_l' 'hl/thm/Library/prime/DIVIDES_RMUL_'
0. 'coq/Coq_ZArith_BinInt_Z_gcd_0_r' 'hl/thm/arith/ADD1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_add_le' 'hl/thm/real/REAL_ABS_TRIANGLE_'
0. 'coq/Coq_NArith_Ndist_ni_le_total' 'hl/thm/realax/REAL_LE_TOTAL_'
0. 'coq/Coq_Reals_Rtrigo_def_cos_sym' 'hl/thm/real/REAL_SGN_INV_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_of_Z' 'hl/thm/Library/floor/INT_OF_REAL_OF_INT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_pos'#@#variant 'hl/thm/Library/pocklington/PHI_LOWERBOUND_2_'#@#variant
0. 'coq/Coq_QArith_Qminmax_Q_max_lub_r' 'hl/thm/Library/prime/DIVIDES_LMUL2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_opp' 'hl/thm/Multivariate/transcendentals/ATN_NEG_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_div2' 'hl/thm/Multivariate/transcendentals/CX_SIN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_lub_iff' 'hl/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_rem_idemp_r' 'hl/thm/arith/MOD_MULT_RMOD_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_cancel_r' 'hl/thm/calc_int/REAL_EQ_ADD_RCANCEL_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_1_l'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zplus_le_compat_l' 'hl/thm/Library/prime/DIVIDES_MUL_L_'
0. 'coq/Coq_NArith_BinNat_N_le_sub_le_add_r' 'hl/thm/real/REAL_LE_SUB_RADD_'
0. 'coq/Coq_QArith_Qcanon_Qcplus_0_l'#@#variant 'hl/thm/realax/REAL_MUL_LID_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_asymm' 'hl/thm/int/INT_LT_GT_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_le_compat_l' 'hl/thm/real/REAL_LT_LADD_IMP_'
0. 'coq/Coq_ZArith_BinInt_Z_odd_opp' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_NEG_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_pos'#@#variant 'hl/thm/Library/transc/REAL_EXP_LT_1_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_ldiff_land' 'hl/thm/real/REAL_SUB_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_succ_inj_wd' 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_NEG2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_asymm' 'hl/thm/real/REAL_LT_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_nonneg' 'hl/thm/Multivariate/transcendentals/ATN_BOUNDS_/0'#@#variant
0. 'coq/Coq_ZArith_Zlogarithm_log_inf_correct/0'#@#variant 'hl/thm/real/REAL_LE_POW2_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_shuffle3' 'hl/thm/int/INT_MAX_ACI_2'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_divide_add_cancel_l' 'hl/thm/Library/poly/POLY_DIVIDES_SUB2_'#@#variant
0. 'coq/Coq_ZArith_Znat_Z2Nat_inj_pos' 'hl/thm/int/int_of_num_'
0. 'coq/Coq_ZArith_Zorder_Zplus_gt_compat_r' 'hl/thm/Library/prime/DIVIDES_MUL_R_'
0. 'coq/Coq_Reals_RIneq_Rle_or_lt' 'hl/thm/arith/LTE_CASES_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_le_mono' 'hl/thm/Multivariate/transcendentals/ATN_MONO_LT_'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_T_OMEGA12_stable' 'hl/thm/Library/multiplicative/MULTIPLICATIVE_TAU_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_lub_l' 'hl/thm/Library/integer/INT_DIVIDES_RMUL2_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_shuffle3' 'hl/thm/Multivariate/complexes/COMPLEX_MUL_AC_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_0_l_prime' 'hl/thm/arith/MOD_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_0_r'#@#variant 'hl/thm/arith/MOD_1_'#@#variant
0. 'coq/Coq_Sets_Powerset_facts_Union_associative' 'hl/thm/Multivariate/vectors/VECTOR_ADD_AC_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_inj_wd' 'hl/thm/Library/prime/CANCEL_TIMES2_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_eq_mul_0' 'hl/thm/int/INT_ENTIRE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_shuffle3' 'hl/thm/int/INT_ADD_AC_2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_opp' 'hl/thm/Multivariate/transcendentals/ATN_ABS_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_opp_r' 'hl/thm/realax/real_div_'
0. 'coq/Coq_ZArith_BinInt_Z_le_ngt' 'hl/thm/arith/NOT_LT_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_refl' 'hl/thm/realax/NADD_EQ_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_2' 'hl/thm/Multivariate/misc/SQRT_0_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_0_r' 'hl/thm/Library/pocklington/ORDER_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_mul_below' 'hl/thm/int/INT_SUB_ABS_'
0. 'coq/Coq_ZArith_Znat_Zabs2Nat_inj_succ'#@#variant 'hl/thm/Multivariate/transcendentals/CX_LOG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_succ_le' 'hl/thm/Library/floor/FLOOR_DOUBLE_/0'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_pred_r' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_RMUL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_even_1'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant
0. 'coq/Coq_QArith_QArith_base_inject_Z_opp' 'hl/thm/Multivariate/transcendentals/CX_ATN_'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_succ' 'hl/thm/int/int_sgn_th_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lor_lnot_diag'#@#variant 'hl/thm/int/INT_ADD_RINV_'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_lt' 'hl/thm/int/INT_OF_NUM_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_ge_cases' 'hl/thm/arith/LET_CASES_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_ge_le_iff' 'hl/thm/arith/GE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_cancel_r' 'hl/thm/arith/EQ_ADD_RCANCEL_'
0. 'coq/Coq_Reals_RIneq_Rgt_or_ge' 'hl/thm/int/INT_LTE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_2' 'hl/thm/realax/REAL_INV_0_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_greatest' 'hl/thm/Library/integer/INT_DIVIDES_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_glb_lt' 'hl/thm/Library/integer/INT_DIVIDES_ADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_le_mono_r_iff'#@#variant 'hl/thm/real/REAL_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_nge' 'hl/thm/int/INT_NOT_LE_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_1_l' 'hl/thm/realax/HREAL_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_pos'#@#variant 'hl/thm/Library/pocklington/EVEN_PHI_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lcm_1_l'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_double_spec' 'hl/thm/int/INT_SUB_LZERO_'
0. 'coq/Coq_ZArith_Znat_Z2Nat_inj_0' 'hl/thm/Multivariate/complexes/RE_II_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lxor_m1_l'#@#variant 'hl/thm/realarith/REAL_POLY_NEG_CLAUSES_0'#@#variant
0. 'coq/Coq_Reals_RIneq_Rge_ge_eq' 'hl/thm/int/INT_LE_ANTISYM_'
0. 'coq/Coq_NArith_BinNat_N_double_mul' 'hl/thm/arith/ADD_CLAUSES_2'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_clearbit_spec_prime'#@#variant 'hl/thm/Multivariate/complexes/complex_div_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftl_mul_pow2'#@#variant 'hl/thm/int/INT_SUB_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_l' 'hl/thm/realax/NADD_LE_LMUL_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_gt' 'hl/thm/int/int_le_'
0. 'coq/Coq_ZArith_BinInt_Z_sgn_null_iff' 'hl/thm/Library/pocklington/PHI_EQ_0_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_mul_below' 'hl/thm/int/INT_SUB_ABS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_simpl_r' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_lt_mono_pos_r'#@#variant 'hl/thm/real/REAL_LT_DIV2_EQ_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_1_l'#@#variant 'hl/thm/realarith/REAL_POLY_NEG_CLAUSES_0'#@#variant
0. 'coq/Coq_QArith_Qminmax_Q_min_lt_iff' 'hl/thm/int/INT_MIN_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_refl' 'hl/thm/Multivariate/misc/GE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_1_r'#@#variant 'hl/thm/arith/MULT_0_'#@#variant
0. 'coq/Coq_fourier_Fourier_util_Rlt_zero_pos_plus1'#@#variant 'hl/thm/Multivariate/complexes/REAL_INV_'#@#variant
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_IsTO_lt_total' 'hl/thm/Library/analysis/LESS_LESS_CASES_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_even_2'#@#variant 'hl/thm/Multivariate/complexes/IM_II_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lcm_eq_0' 'hl/thm/arith/MULT_EQ_0_'#@#variant
0. 'coq/__constr_Coq_Arith_Even_even_0_2' 'hl/thm/Library/pratt/PHI_LOWERBOUND_2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_odd_0' 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_nonneg' 'hl/thm/Multivariate/transcendentals/ATN_BOUNDS_/0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_0_r' 'hl/thm/int/INT_MUL_RZERO_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_sin_ge_0'#@#variant 'hl/thm/Multivariate/transcendentals/SIN_POS_PI_'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qcplus_0_l'#@#variant 'hl/thm/arith/ADD_CLAUSES_0'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_le_mono' 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_ZArith_BinInt_Z_lnot_lxor_l' 'hl/thm/arith/ADD_CLAUSES_2'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_divide_iff' 'hl/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lcm_divide_iff' 'hl/thm/int/INT_MAX_LT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_pos'#@#variant 'hl/thm/Library/integer/INT_PRIME_ABS_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_lub_r' 'hl/thm/Library/integer/INT_DIVIDES_LMUL2_'
0. 'coq/Coq_ZArith_BinInt_Z_lnot_lxor_r' 'hl/thm/real/REAL_NEG_RMUL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_id' 'hl/thm/real/REAL_MIN_ACI_3'
0. 'coq/Coq_ZArith_BinInt_Z_add_move_r' 'hl/thm/real/REAL_EQ_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_rem_1_r'#@#variant 'hl/thm/Library/prime/INDEX_1_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_succ_l' 'hl/thm/Multivariate/transcendentals/REAL_ABS_RPOW_'
0. 'coq/Coq_Reals_Raxioms_Rplus_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_le_mono_r' 'hl/thm/realax/NADD_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_le_iff' 'hl/thm/int/INT_LT_MAX_'
0. 'coq/Coq_Reals_Ratan_Ropp_div' 'hl/thm/Multivariate/transcendentals/REAL_ABS_RPOW_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_pos'#@#variant 'hl/thm/Library/floor/INTEGER_ABS_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_refl' 'hl/thm/realax/NADD_EQ_REFL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_double_size_level' 'hl/thm/int/int_abs_th_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_min_l' 'hl/thm/Library/analysis/SUB_LESS_EQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_odd_2'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_double_mul' 'hl/thm/Multivariate/transcendentals/REAL_ABS_RPOW_'
0. 'coq/Coq_NArith_BinNat_N_gcd_divide_l' 'hl/thm/int/INT_MIN_MIN_/0'
0. 'coq/Coq_Arith_Le_le_n_S' 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_even_2'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_succ_r' 'hl/thm/arith/ADD_SUC_'
0. 'coq/Coq_NArith_BinNat_N_log2_up_pos'#@#variant 'hl/thm/Multivariate/transcendentals/REAL_EXP_LT_1_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_le_ngt' 'hl/thm/int/INT_NOT_LT_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_pred_double_succ' 'hl/thm/nums/BIT1_DEF_'
0. 'coq/Coq_NArith_BinNat_N_lor_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_le' 'hl/thm/int/INT_OF_NUM_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_sub_distr' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_LNEG_'
0. 'coq/Coq_ZArith_BinInt_Z_shiftl_opp_r' 'hl/thm/Complex/complexnumbers/complex_sub_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_mul_below' 'hl/thm/int/INT_SUB_ABS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pred_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_pos'#@#variant 'hl/thm/int/INT_SGN_INEQS_0'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_gcd_divide_iff' 'hl/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_eq_iff'#@#variant 'hl/thm/int/INT_ABS_REFL_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_le_mono_r' 'hl/thm/arith/LT_ADD_RCANCEL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_lt_mono_r' 'hl/thm/realax/NADD_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_total' 'hl/thm/Library/analysis/LESS_CASES_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_refl' 'hl/thm/Complex/cpoly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_le_incl' 'hl/thm/arith/LT_IMP_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sub_diag' 'hl/thm/real/REAL_SUB_REFL_'#@#variant
0. 'coq/Coq_QArith_Qminmax_Q_le_min_l' 'hl/thm/real/REAL_MIN_MIN_/0'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_pred' 'hl/thm/Complex/complex_transc/CEXP_CLOG_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_divide_refl' 'hl/thm/Library/poly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_setbit_spec_prime'#@#variant 'hl/thm/int/INT_SUB_'
0. 'coq/Coq_PArith_BinPos_Pos_max_1_l' 'hl/thm/arith/MULT_CLAUSES_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_reg_l' 'hl/thm/Library/analysis/REAL_EQ_LMUL_IMP_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_le_sub_le_add_r' 'hl/thm/int/INT_LE_SUB_LADD_'
0. 'coq/Coq_NArith_BinNat_N_mod_0_l' 'hl/thm/arith/MOD_0_'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_ge' 'hl/thm/int/int_le_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_ngt' 'hl/thm/int/INT_NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_le_mono' 'hl/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Arith_Plus_plus_lt_compat_r' 'hl/thm/arith/EXP_MONO_LE_IMP_'
0. 'coq/Coq_ZArith_Znat_Z2N_inj_pred' 'hl/thm/Complex/complex_transc/CX_CSIN_'
0. 'coq/Coq_ZArith_Znumtheory_Zdivide_Zgcd' 'hl/thm/Library/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_lub_iff' 'hl/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_glb_lt' 'hl/thm/Library/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftl_opp_r' 'hl/thm/int/INT_SUB_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_glb_iff' 'hl/thm/real/REAL_LT_MIN_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_ones_equiv'#@#variant 'hl/thm/nums/BIT1_DEF_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_pred_le' 'hl/thm/arith/LE_SUC_LT_'
0. 'coq/Coq_PArith_BinPos_Pos_add_le_mono_l' 'hl/thm/arith/LT_ADD_LCANCEL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_land_assoc' 'hl/thm/realax/TREAL_ADD_ASSOC_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mod_divide' 'hl/thm/Library/prime/DIVIDES_MOD_'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qcmult_1_l'#@#variant 'hl/thm/int/INT_MUL_LID_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_sin_neg' 'hl/thm/Library/transc/ATN_NEG_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_factor_l' 'hl/thm/arith/LE_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_factor_l' 'hl/thm/real/REAL_MAX_MAX_/0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_pos' 'hl/thm/calc_num/ARITH_72'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_greatest' 'hl/thm/Library/prime/DIVIDES_ADD_'
0. 'coq/Coq_NArith_BinNat_N_succ_0_discr' 'hl/thm/Complex/complex_transc/CEXP_NONZERO_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rplus_le_lt_compat' 'hl/thm/real/REAL_LET_ADD2_'
0. 'coq/Coq_Reals_Rtrigo_calc_rad_deg' 'hl/thm/Library/transc/LN_EXP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div2_nonneg'#@#variant 'hl/thm/real/REAL_LE_INV_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_cancel_l' 'hl/thm/arith/EQ_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_succ_diag_r' 'hl/thm/Library/analysis/LESS_SUC_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_max_l' 'hl/thm/realax/HREAL_LE_ADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_le_compat_r' 'hl/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_max_le_compat_r' 'hl/thm/Library/analysis/LESS_MONO_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_pos_cancel_r'#@#variant 'hl/thm/real/REAL_LT_MUL_EQ_1'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pred_le_mono' 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_le_lt_mono' 'hl/thm/real/REAL_LET_ADD2_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_le_compat_l' 'hl/thm/Library/integer/INT_DIVIDES_MUL_L_'
0. 'coq/Coq_ZArith_BinInt_Z_sgn_null_iff' 'hl/thm/int/INT_ABS_ZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_lt_mono_pos_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LT_EQ_'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_gt' 'hl/thm/real/REAL_OF_NUM_GE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_nlt_ge' 'hl/thm/realax/real_lt_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_total' 'hl/thm/Library/prime/LESS_LESS_CASES_'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_le_mono_l' 'hl/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_divide_factor_l' 'hl/thm/arith/LE_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_le_mono' 'hl/thm/realax/NADD_INV_WELLDEF_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_double_mul' 'hl/thm/int/INT_MUL_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_mod_idemp_l' 'hl/thm/arith/MOD_EXP_MOD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_gt_cases' 'hl/thm/realarith/REAL_LTE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_succ' 'hl/thm/Library/transc/ATN_TAN_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_eq_0' 'hl/thm/arith/ADD_EQ_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_pos_cancel_r'#@#variant 'hl/thm/real/REAL_LT_MUL_EQ_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_le_compat_r' 'hl/thm/realax/NADD_LE_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_succ_r' 'hl/thm/calc_int/REAL_MUL_RNEG_'
0. 'coq/Coq_QArith_Qminmax_Q_max_lub_iff' 'hl/thm/int/INT_MAX_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_le_iff' 'hl/thm/real/REAL_MIN_LE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_glb_iff' 'hl/thm/real/REAL_LT_MIN_'
0. 'coq/Coq_QArith_Qreduction_Qred_opp' 'hl/thm/Multivariate/transcendentals/CNJ_CCOS_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_log2_double'#@#variant 'hl/thm/Library/transc/LN_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_ge_cases' 'hl/thm/realax/HREAL_LE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_land_diag' 'hl/thm/real/REAL_MIN_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_succ_pred' 'hl/thm/Complex/complex_transc/CEXP_CLOG_'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_T_OMEGA10_stable' 'hl/thm/Library/multiplicative/MULTIPLICATIVE_SIGMA_'
0. 'coq/Coq_Arith_Mult_mult_le_compat_r' 'hl/thm/realax/HREAL_LE_MUL_RCANCEL_IMP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_neq_0_succ' 'hl/thm/Complex/complex_transc/CEXP_NONZERO_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_pos'#@#variant 'hl/thm/Library/floor/RATIONAL_INV_EQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_ngt' 'hl/thm/arith/NOT_LT_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_incr' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_INV_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_nle_gt' 'hl/thm/int/INT_LT_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_factor_r' 'hl/thm/arith/LE_ADDR_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_lub_lt_iff' 'hl/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_ZArith_Zorder_Zplus_lt_compat_r' 'hl/thm/arith/EXP_MONO_LE_IMP_'
0. 'coq/Coq_QArith_QOrderedType_QOrder_not_ge_lt' 'hl/thm/realarith/REAL_LTE_TOTAL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_odd_2'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant
0. 'coq/Coq_Reals_Rfunctions_poly'#@#variant 'hl/thm/Multivariate/misc/REAL_POW_LBOUND_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_l' 'hl/thm/arith/MOD_LT_'
0. 'coq/Coq_Reals_RIneq_Rplus_gt_compat_r' 'hl/thm/Library/analysis/LESS_MONO_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_lt_mono_r' 'hl/thm/realax/HREAL_LE_ADD_RCANCEL_'
0. 'coq/Coq_QArith_QArith_base_Qinv_mult_distr' 'hl/thm/int/INT_ABS_TRIANGLE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_1_mul_pos'#@#variant 'hl/thm/realarith/REAL_LTE_ADD_'#@#variant
0. 'coq/Coq_QArith_QOrderedType_QOrder_lt_le_trans' 'hl/thm/arith/LTE_TRANS_'
0. 'coq/Coq_Arith_PeanoNat_Nat_even_2'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_opp' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_INV_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lxor_0_l' 'hl/thm/int/INT_ADD_LID_'#@#variant
0. 'coq/Coq_Reals_ROrderedType_ROrder_TO_lt_total' 'hl/thm/int/INT_LT_TOTAL_'
0. 'coq/Coq_QArith_Qminmax_Q_max_comm' 'hl/thm/realax/TREAL_MUL_SYM_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_le_incl' 'hl/thm/int/INT_LT_IMP_LE_'
0. 'coq/Coq_MMaps_MMapPositive_PositiveMap_lt_rev_append' 'hl/thm/real/REAL_LT_LADD_IMP_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sub_succ_r' 'hl/thm/Multivariate/transcendentals/RPOW_NEG_'
0. 'coq/Coq_Lists_List_Forall_Exists_neg' 'hl/thm/lists/NOT_ALL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_cancel_r' 'hl/thm/arith/EQ_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_pos_nonneg'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_LT_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_ge_le_iff' 'hl/thm/arith/GT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lxor_nilpotent' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_REFL_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_comm' 'hl/thm/realax/TREAL_MUL_SYM_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_nonneg'#@#variant 'hl/thm/int/INT_NEG_GT0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pred_le_mono' 'hl/thm/realax/NADD_INV_WELLDEF_'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_succ' 'hl/thm/int/int_neg_th_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_le_mono_l' 'hl/thm/real/REAL_LE_LADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_eq_0' 'hl/thm/arith/MULT_EQ_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_add_diag_r' 'hl/thm/int/INT_MAX_MAX_/0'
0. 'coq/Coq_ZArith_BinInt_Z_gt_lt_iff' 'hl/thm/int/INT_GT_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_sgn' 'hl/thm/Complex/complex_transc/CX_CEXP_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_xO_r' 'hl/thm/calc_int/REAL_MUL_RNEG_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_0_l' 'hl/thm/realax/REAL_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_succ_diag_r' 'hl/thm/Library/analysis/LESS_SUC_REFL_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_ge' 'hl/thm/real/REAL_OF_NUM_GE_'
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_factor_r' 'hl/thm/arith/LE_ADDR_'
0. 'coq/Coq_NArith_BinNat_N_gcd_greatest' 'hl/thm/Library/prime/DIVIDES_SUB_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_divide_mono_r' 'hl/thm/realax/HREAL_LE_MUL_RCANCEL_IMP_'
0. 'coq/Coq_Reals_Rpower_Rpower_mult' 'hl/thm/Library/prime/EXP_EXP_'
0. 'coq/Coq_Reals_RIneq_Rminus_0_l' 'hl/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_land' 'hl/thm/Library/transc/REAL_EXP_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_null_iff' 'hl/thm/real/REAL_SGN_INEQS_4'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_double_spec'#@#variant 'hl/thm/Library/analysis/REAL_INV_1OVER_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_sub_lt_add_r' 'hl/thm/int/INT_LT_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_involutive' 'hl/thm/Complex/complexnumbers/COMPLEX_INV_INV_'
0. 'coq/Coq_Reals_Rtrigo1_COS_bound/1' 'hl/thm/Library/transc/SIN_BOUNDS_/1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_cancel_l' 'hl/thm/realax/HREAL_EQ_ADD_LCANCEL_'
0. 'coq/Coq_ZArith_BinInt_Zopp_mult_distr_l' 'hl/thm/Multivariate/transcendentals/RPOW_INV_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_id' 'hl/thm/real/REAL_MAX_ACI_3'
0. 'coq/Coq_ZArith_BinInt_Z_mul_succ_l' 'hl/thm/arith/MULT_1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_setbit_spec_prime'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_RNEG_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_nonpos_nonneg'#@#variant 'hl/thm/int/INT_NEG_LT0_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_div_small_iff' 'hl/thm/arith/DIV_EQ_0_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lxor_0_l' 'hl/thm/realax/REAL_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_lcm_r' 'hl/thm/real/REAL_MAX_MAX_/1'
0. 'coq/Coq_Arith_PeanoNat_Nat_pred_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LT_'
0. 'coq/Coq_ZArith_BinInt_Z_pow_pos_nonneg'#@#variant 'hl/thm/realarith/REAL_LTE_ADD_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_min_id' 'hl/thm/int/INT_MIN_ACI_3'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_r' 'hl/thm/Library/analysis/LESS_MONO_ADD_'
0. 'coq/Coq_Reals_Rpower_sinh_arcsinh' 'hl/thm/Multivariate/transcendentals/LOG_EXP_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_le_mono_pos_l'#@#variant 'hl/thm/real/REAL_LE_LMUL_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_greatest' 'hl/thm/Library/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_2' 'hl/thm/Multivariate/misc/SQRT_0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ldiff_land' 'hl/thm/Multivariate/complexes/complex_div_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_mod' 'hl/thm/arith/MOD_MULT_MOD2_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_refl' 'hl/thm/arith/LE_REFL_'
0. 'coq/Coq_NArith_BinNat_N_ge_le_iff' 'hl/thm/realax/real_gt_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_succ_l' 'hl/thm/int/INT_MUL_LNEG_'
0. 'coq/Coq_NArith_BinNat_N_mul_shuffle3' 'hl/thm/int/INT_ADD_AC_2'
0. 'coq/Coq_Reals_ROrderedType_ROrder_le_refl' 'hl/thm/realax/REAL_LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_pos'#@#variant 'hl/thm/Multivariate/complexes/REAL_INV_EQ_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rmult_ne/1' 'hl/thm/arith/ADD_CLAUSES_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_lt_lin'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_LE_X_'#@#variant
0. 'coq/Coq_Reals_R_sqrt_sqrt_lt_R0'#@#variant 'hl/thm/Multivariate/complexes/REAL_INV_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_divide' 'hl/thm/int/INT_OF_NUM_GT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ldiff_land' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_RNEG_'
0. 'coq/Coq_PArith_BinPos_Pos_min_glb_lt' 'hl/thm/Library/prime/DIVIDES_SUB_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_sub_eq_r' 'hl/thm/Library/prime/ADD_IMP_SUB_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_pos'#@#variant 'hl/thm/Library/floor/RATIONAL_NEG_EQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_1_mul_pos'#@#variant 'hl/thm/int/INT_LTE_ADD_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qplus_le_r' 'hl/thm/arith/LT_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lcm_1_l'#@#variant 'hl/thm/arith/MULT_CLAUSES_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_le_mono' 'hl/thm/Library/floor/FLOOR_MONO_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_le_mono_r' 'hl/thm/realax/HREAL_LE_ADD_RCANCEL_'
0. 'coq/Coq_Bool_Bool_andb_true_l' 'hl/thm/arith/ADD_CLAUSES_0'#@#variant
0. 'coq/Coq_Reals_Rfunctions_powerRZ_NOR' 'hl/thm/Library/analysis/POW_NZ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_shuffle3' 'hl/thm/int/INT_ADD_AC_2'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_gt' 'hl/thm/real/REAL_OF_NUM_LT_'
0. 'coq/Coq_Reals_RIneq_Ropp_mult_distr_r_reverse' 'hl/thm/int/INT_MUL_RNEG_'
0. 'coq/Coq_Reals_RIneq_Rplus_ge_compat_r' 'hl/thm/Library/prime/LESS_MONO_ADD_'
0. 'coq/Coq_PArith_BinPos_Pos_pred_double_spec' 'hl/thm/calc_num/ARITH_4'
0. 'coq/Coq_QArith_Qcanon_Qcle_refl' 'hl/thm/Library/poly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lor_m1_r'#@#variant 'hl/thm/calc_int/REAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_le_sub_le_add_r' 'hl/thm/int/INT_LT_SUB_RADD_'
0. 'coq/Coq_NArith_BinNat_N_max_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_asymm' 'hl/thm/real/REAL_LT_GT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_lt_mono_nonneg'#@#variant 'hl/thm/real/REAL_LT_MUL2_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_gcd_divide_l' 'hl/thm/real/REAL_MIN_MIN_/0'
0. 'coq/Coq_Reals_Ratan_Ratan_seq_opp' 'hl/thm/Library/analysis/POW_ABS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_eq_cases' 'hl/thm/int/INT_LE_LT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_divide_mono_r' 'hl/thm/Library/analysis/LESS_MONO_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_1_r' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RZERO_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_shiftl_mul_pow2'#@#variant 'hl/thm/int/INT_SUB_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_sqrt' 'hl/thm/Complex/complex_transc/CX_CEXP_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_succ_pred_double' 'hl/thm/calc_num/ARITH_4'
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_add_r' 'hl/thm/Complex/cpoly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_pred_l' 'hl/thm/Library/pratt/PHI_LIMIT_'
0. 'coq/Coq_Arith_PeanoNat_Nat_land_0_r' 'hl/thm/calc_int/REAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_shiftl_1_l'#@#variant 'hl/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_diag' 'hl/thm/arith/MULT_2_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_PI_RGT_0' 'hl/thm/Multivariate/transcendentals/PI2_BOUNDS_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lor_diag' 'hl/thm/real/REAL_MIN_ACI_3'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_inj_wd' 'hl/thm/Library/transc/ATN_INJ_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_pos'#@#variant 'hl/thm/Library/floor/INTEGER_ABS_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_add_lt_sub_r' 'hl/thm/real/REAL_LT_ADD_SUB_'
0. 'coq/Coq_ZArith_BinInt_Z_odd_2'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_xO'#@#variant 'hl/thm/Complex/complex_transc/CX_CSIN_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_assoc' 'hl/thm/realax/NADD_MUL_ASSOC_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_nge' 'hl/thm/int/INT_NOT_LE_'
0. 'coq/Coq_Arith_PeanoNat_Nat_max_le_compat_r' 'hl/thm/Library/prime/DIVIDES_MUL_R_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_succ' 'hl/thm/Multivariate/transcendentals/CX_TAN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_move_r' 'hl/thm/int/INT_EQ_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_double_spec' 'hl/thm/int/INT_SUB_LZERO_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_lt_trans' 'hl/thm/realarith/REAL_LET_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div_mod' 'hl/thm/arith/DIVISION_SIMP_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LT_'
0. 'coq/Coq_ZArith_BinInt_Z_gcd_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_LZERO_'#@#variant
0. 'coq/Coq_Reals_ROrderedType_ROrder_not_gt_le' 'hl/thm/arith/LTE_CASES_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_divide_r' 'hl/thm/int/INT_MIN_MIN_/1'
0. 'coq/Coq_Arith_PeanoNat_Nat_max_0_l' 'hl/thm/int/INT_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_quot_le_mono'#@#variant 'hl/thm/real/REAL_LT_RMUL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sgn_opp' 'hl/thm/real/REAL_SGN_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_pred_l' 'hl/thm/calc_int/REAL_MUL_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_le_compat_l' 'hl/thm/Library/integer/INT_DIVIDES_MUL_L_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_odd_1'#@#variant 'hl/thm/nums/ZERO_DEF_'
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_lcm_l' 'hl/thm/real/REAL_MAX_MAX_/0'
0. 'coq/Coq_NArith_BinNat_N_setbit_spec_prime'#@#variant 'hl/thm/int/INT_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_le_mono' 'hl/thm/arith/FACT_MONO_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_simpl_l' 'hl/thm/real/REAL_ADD_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_eq_0' 'hl/thm/int/INT_ENTIRE_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_sub_r' 'hl/thm/Library/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_ge_cases' 'hl/thm/realarith/REAL_LET_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_lt_mono_l' 'hl/thm/int/INT_LE_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_opp_r' 'hl/thm/realax/real_div_'
0. 'coq/Coq_QArith_QOrderedType_QOrder_eq_refl' 'hl/thm/Library/integer/INT_DIVIDES_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_xO_r' 'hl/thm/real/REAL_NEG_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_sub_le_add_r' 'hl/thm/real/REAL_LE_SUB_LADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_0_r' 'hl/thm/Library/integer/INT_DIVIDES_0_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_ge' 'hl/thm/real/REAL_OF_NUM_LT_'
0. 'coq/Coq_Reals_RIneq_Rplus_gt_compat_r' 'hl/thm/Library/prime/DIVIDES_EXP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_succ_r' 'hl/thm/arith/LE_1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_nonneg_nonpos'#@#variant 'hl/thm/int/INT_NEG_GT0_'#@#variant
0. 'coq/Coq_Reals_Rpower_exp_increasing' 'hl/thm/Library/transc/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_pred_l' 'hl/thm/arith/ADD_CLAUSES_2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftl_1_l'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_LZERO_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_max_le_compat_r' 'hl/thm/Library/prime/LESS_MONO_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_glb' 'hl/thm/Complex/cpoly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_le_mono_r' 'hl/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_log2' 'hl/thm/Complex/complex_transc/CX_CEXP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lxor_0_l' 'hl/thm/realax/HREAL_ADD_LID_'#@#variant
0. 'coq/Coq_Reals_RIneq_Ropp_div' 'hl/thm/Multivariate/transcendentals/REAL_ABS_RPOW_'
0. 'coq/Coq_ZArith_BinInt_Z_lor_diag' 'hl/thm/real/REAL_MIN_ACI_3'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_le_mono_l_iff' 'hl/thm/Library/integer/INT_DIVIDES_RMUL2_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_max_l' 'hl/thm/realax/NADD_LE_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_shuffle3' 'hl/thm/real/REAL_MAX_ACI_2'
0. 'coq/Coq_ZArith_BinInt_Z_mul_pos_cancel_r'#@#variant 'hl/thm/int/INT_LT_MUL_EQ_1'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_le_mono' 'hl/thm/Library/floor/FLOOR_MONO_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_eq_0_iff' 'hl/thm/arith/EXP_EQ_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_pos'#@#variant 'hl/thm/Library/floor/RATIONAL_INV_EQ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div_same'#@#variant 'hl/thm/arith/DIV_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_0_l' 'hl/thm/arith/MULT_CLAUSES_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_factor_l' 'hl/thm/arith/LE_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_le_compat_r' 'hl/thm/Library/analysis/LESS_MONO_ADD_'
0. 'coq/Coq_ZArith_BinInt_Z2Pos_inj_1'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_move_0_r' 'hl/thm/real/REAL_LNEG_UNIQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lcm_diag' 'hl/thm/arith/MULT_2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_succ_diag_r' 'hl/thm/arith/LT_POW2_REFL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_land_lnot_diag' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_RINV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_ge_le_iff' 'hl/thm/int/INT_GT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_sub_r' 'hl/thm/Library/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_move_r' 'hl/thm/real/REAL_EQ_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_divide_mono_l' 'hl/thm/realax/REAL_LE_LADD_IMP_'
0. 'coq/Coq_ZArith_Znat_Zabs2N_id_abs' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_CX_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_0_l' 'hl/thm/arith/MOD_0_'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qcmult_1_l'#@#variant 'hl/thm/realax/REAL_ADD_LID_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_succ_pred_or' 'hl/thm/Complex/complex_transc/CEXP_CLOG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_le_iff' 'hl/thm/real/REAL_LT_MAX_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_id' 'hl/thm/int/int_abstr_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_m1'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant
0. 'coq/Coq_Arith_Min_min_0_r' 'hl/thm/arith/MULT_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftr_opp_r' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_RNEG_'
0. 'coq/Coq_Reals_Rtrigo_calc_rad_deg' 'hl/thm/Multivariate/transcendentals/ATN_TAN_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_nlt' 'hl/thm/realax/real_lt_'
0. 'coq/Coq_NArith_BinNat_N_nlt_ge' 'hl/thm/Library/analysis/real_le_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_divide_l' 'hl/thm/Library/analysis/SUB_LESS_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_le_mono' 'hl/thm/Library/transc/ATN_MONO_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_lt_mono_nonneg'#@#variant 'hl/thm/real/REAL_LT_MUL2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lxor_nilpotent' 'hl/thm/int/INT_SUB_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_sub_le_add_r' 'hl/thm/int/INT_LT_SUB_RADD_'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tplus_assoc_r_stable' 'hl/thm/Library/multiplicative/MULTIPLICATIVE_PHI_'
0. 'coq/Coq_Reals_Ratan_ps_atan_opp' 'hl/thm/calc_num/ARITH_6'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_glb_iff' 'hl/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_ZArith_BinInt_Z_shiftr_opp_r' 'hl/thm/realax/real_div_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_even_1'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_glb_iff' 'hl/thm/real/REAL_LT_MIN_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_le_compat_l' 'hl/thm/real/REAL_LT_LADD_IMP_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_le_lin'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_LE_X_'#@#variant
0. 'coq/Coq_ZArith_Zeven_Zeven_pred' 'hl/thm/Multivariate/transcendentals/LOG_POS_LT_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_succ_r' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_RMUL_'
0. 'coq/Coq_QArith_Qpower_Qpower_pos_positive'#@#variant 'hl/thm/int/INT_POW_LE_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_add_r' 'hl/thm/real/REAL_MAX_MAX_/0'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_divide_lcm_l' 'hl/thm/realax/NADD_LE_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_le_iff' 'hl/thm/real/REAL_LT_MAX_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_trichotomy' 'hl/thm/real/REAL_LT_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_nonneg'#@#variant 'hl/thm/calc_num/ARITH_40'
0. 'coq/Coq_Reals_RIneq_Rle_refl' 'hl/thm/Library/poly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sub_le_mono_r' 'hl/thm/realax/HREAL_LE_ADD_RCANCEL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_l' 'hl/thm/Library/prime/DIVIDES_MUL_L_'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_succ' 'hl/thm/int/int_abs_th_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_le_compat_r' 'hl/thm/Library/integer/INT_DIVIDES_MUL_R_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sub_le_mono_r' 'hl/thm/Library/prime/LESS_MONO_ADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sub_le_mono_r' 'hl/thm/Library/prime/DIVIDES_EXP_'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_add_norm_stable' 'hl/thm/Multivariate/realanalysis/POLYNOMIAL_FUNCTION_BERNOULLI_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lxor_eq_0_iff' 'hl/thm/int/INT_SUB_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_le_mono' 'hl/thm/Library/transc/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_quot_mul' 'hl/thm/real/REAL_DIV_RMUL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_xO'#@#variant 'hl/thm/Multivariate/complexes/CX_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_le_compat_l' 'hl/thm/Library/prime/DIVIDES_MUL_L_'
0. 'coq/Coq_ZArith_Zgcd_alt_fibonacci_pos'#@#variant 'hl/thm/realarith/REAL_POS_'#@#variant
0. 'coq/Coq_Arith_Even_odd_plus_l' 'hl/thm/realarith/REAL_LTE_ADD_'#@#variant
0. 'coq/Coq_Reals_Ranalysis4_sinh_lt' 'hl/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_pow2'#@#variant 'hl/thm/Multivariate/transcendentals/EXP_LOG_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lxor_m1_l'#@#variant 'hl/thm/int/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_total' 'hl/thm/int/INT_LT_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_succ_diag_r' 'hl/thm/int/INT_ABS_LE_'
0. 'coq/Coq_Arith_PeanoNat_Nat_min_glb_iff' 'hl/thm/real/REAL_LT_MIN_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_1_l' 'hl/thm/arith/SUB_0_/0'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_pos'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_null_iff' 'hl/thm/real/REAL_INV_EQ_0_'#@#variant
0. 'coq/Coq_Numbers_Cyclic_Int31_Ring31_Int31ring_add_assoc'#@#variant 'hl/thm/realax/TREAL_ADD_ASSOC_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_opp' 'hl/thm/Multivariate/transcendentals/CX_TAN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_pos_r'#@#variant 'hl/thm/real/REAL_LE_DIV2_EQ_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_land_0_r' 'hl/thm/calc_int/REAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_succ_l' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_add_distr' 'hl/thm/arith/EXP_MULT_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_2' 'hl/thm/real/REAL_SGN_0_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_add_lt_sub_r' 'hl/thm/int/INT_LT_ADD_SUB_'
0. 'coq/Coq_Arith_PeanoNat_Nat_max_lub_lt_iff' 'hl/thm/int/INT_MAX_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lor_0_l' 'hl/thm/arith/ADD_CLAUSES_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pred_succ' 'hl/thm/Multivariate/transcendentals/LOG_EXP_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_odd_0' 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant
0. 'coq/Coq_Reals_RIneq_opp_IZR' 'hl/thm/Complex/complex_transc/CX_CSIN_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_succ_diag_r' 'hl/thm/real/REAL_ABS_LE_'
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_pos_r'#@#variant 'hl/thm/real/REAL_LT_DIV2_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mod_small' 'hl/thm/arith/MOD_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_mul_r' 'hl/thm/Library/integer/INT_DIVIDES_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_pred_r' 'hl/thm/int/INT_MUL_RNEG_'
0. 'coq/Coq_ZArith_Znat_positive_nat_Z' 'hl/thm/int/int_of_num_th_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_le_mono' 'hl/thm/Library/transc/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_le_compat_r' 'hl/thm/arith/EXP_MONO_LE_IMP_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_mod' 'hl/thm/arith/MOD_ADD_MOD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_lt_mono_pos_r'#@#variant 'hl/thm/real/REAL_LT_RMUL_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_eq_iff'#@#variant 'hl/thm/Multivariate/complexes/REAL_CNJ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_opp' 'hl/thm/Multivariate/transcendentals/CNJ_CCOS_'#@#variant
0. 'coq/Coq_Init_Peano_plus_Sn_m' 'hl/thm/arith/ADD_CLAUSES_2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_inj_wd' 'hl/thm/nums/SUC_INJ_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_abs' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_INV_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_le_mono_l' 'hl/thm/int/INT_LE_LADD_'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_div2' 'hl/thm/Multivariate/transcendentals/CX_EXP_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qinv_lt_0_compat'#@#variant 'hl/thm/Library/floor/RATIONAL_INV_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_pos_cancel_r'#@#variant 'hl/thm/real/REAL_LT_MUL_EQ_1'#@#variant
0. 'coq/Coq_QArith_Qpower_Qpower_pos'#@#variant 'hl/thm/int/INT_POW_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_opp' 'hl/thm/Multivariate/vectors/SQRT_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_le_mono_r_iff'#@#variant 'hl/thm/Library/analysis/REAL_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_0_r' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RZERO_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pred_div2_up' 'hl/thm/Multivariate/transcendentals/CX_EXP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_inj_wd' 'hl/thm/real/REAL_EQ_NEG2_'
0. 'coq/Coq_PArith_Pnat_SuccNat2Pos_inj_succ' 'hl/thm/Complex/complex_transc/CX_CCOS_'
0. 'coq/Coq_Reals_RIneq_Rplus_ge_compat_r' 'hl/thm/realax/HREAL_LE_MUL_RCANCEL_IMP_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_div2' 'hl/thm/Multivariate/transcendentals/CX_EXP_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_lt_mono_l' 'hl/thm/arith/LT_ADD_LCANCEL_'
0. 'coq/Coq_QArith_Qreals_Qlt_Rlt' 'hl/thm/Library/calc_real/REAL_MONO_POW2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_cancel_r' 'hl/thm/arith/EQ_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_neq_succ_0' 'hl/thm/Multivariate/transcendentals/REAL_EXP_NZ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_0_r' 'hl/thm/int/INT_MUL_RZERO_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_opp_norm' 'hl/thm/Library/pocklington/PHI_LOWERBOUND_1_STRONG_'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_gt' 'hl/thm/int/INT_OF_NUM_LT_'
0. 'coq/Coq_Reals_Ratan_atan_opp' 'hl/thm/Library/transc/TAN_NEG_'
0. 'coq/Coq_ZArith_Zpower_two_p_S'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_lt_mono_pos_r'#@#variant 'hl/thm/real/REAL_LE_RMUL_EQ_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_log2_null'#@#variant 'hl/thm/int/INT_SGN_EQ_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_2' 'hl/thm/Multivariate/transcendentals/ASN_0_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_m1_0'#@#variant 'hl/thm/Library/transc/PI2_BOUNDS_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lxor_nilpotent' 'hl/thm/int/INT_SUB_REFL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lt_nge' 'hl/thm/int/INT_NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_ge_le_iff' 'hl/thm/int/INT_GT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftl_opp_r' 'hl/thm/realax/real_sub_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_0_mul_prime'#@#variant 'hl/thm/arith/LT_MULT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_lub_lt_iff' 'hl/thm/int/INT_MAX_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_pos'#@#variant 'hl/thm/Library/integer/INT_PRIME_NEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_double_mul' 'hl/thm/Multivariate/transcendentals/REAL_INV_RPOW_'
0. 'coq/Coq_ZArith_BinInt_Z_even_2'#@#variant 'hl/thm/Multivariate/complexes/RE_II_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lt_ge_cases' 'hl/thm/realarith/REAL_LTE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_lt_mono_r' 'hl/thm/realax/HREAL_LE_ADD_RCANCEL_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_divide_mono_r' 'hl/thm/Library/prime/DIVIDES_EXP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_even_1'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_lt_iff' 'hl/thm/int/INT_LT_MAX_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_pos_nonneg'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_LE_1_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_null_iff' 'hl/thm/calc_num/ARITH_50'
0. 'coq/Coq_PArith_BinPos_Pos_add_1_l' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_nle' 'hl/thm/arith/NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_sub_le_add_r' 'hl/thm/real/REAL_LT_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lcm_diag' 'hl/thm/int/INT_MAX_ACI_3'
0. 'coq/Coq_Reals_Rtrigo1_PI_neq0' 'hl/thm/Multivariate/transcendentals/PI_NZ_'#@#variant
0. 'coq/Coq_Bool_Bool_orb_false_l' 'hl/thm/int/INT_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_pos'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_POS_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ge_le_iff' 'hl/thm/realax/real_ge_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_iff' 'hl/thm/Multivariate/vectors/DROP_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_lt_mono_r' 'hl/thm/realax/NADD_LE_RADD_'
0. 'coq/Coq_QArith_Qcanon_Qcle_refl' 'hl/thm/int/INT_LE_REFL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_lt_mono_l' 'hl/thm/real/REAL_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_cancel_l' 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_ADD_LCANCEL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_succ_l' 'hl/thm/arith/MULT_1'
0. 'coq/Coq_ZArith_Znat_positive_nat_N' 'hl/thm/int/int_of_num_th_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_add_lt_sub_r' 'hl/thm/int/INT_LE_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_xO_pred_double' 'hl/thm/calc_num/ARITH_17'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_lcm_r' 'hl/thm/real/REAL_MAX_MAX_/1'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_inv_normc' 'hl/thm/Multivariate/transcendentals/CX_EXP_'#@#variant
0. 'coq/Coq_Init_Peano_O_S' 'hl/thm/arith/FACT_NZ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_2' 'hl/thm/Multivariate/transcendentals/SIN_0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_eq_le_incl' 'hl/thm/realax/TREAL_EQ_AP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lor_0_l' 'hl/thm/realax/REAL_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_pred_r' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_greatest' 'hl/thm/Library/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_of_pos' 'hl/thm/int/int_of_num_th_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_eq_mul_0' 'hl/thm/arith/MULT_EQ_0_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_succ_pred' 'hl/thm/Library/transc/LN_EXP_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lnot_0_l' 'hl/thm/realarith/REAL_POLY_NEG_CLAUSES_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ones_equiv'#@#variant 'hl/thm/calc_num/ARITH_4'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_le_compat_r' 'hl/thm/Library/analysis/LESS_MONO_ADD_'
0. 'coq/Coq_ZArith_BinInt_Z_add_0_l' 'hl/thm/int/INT_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_mul_l' 'hl/thm/Library/integer/INT_DIVIDES_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lor_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_add_lt_mono_l' 'hl/thm/arith/LE_ADD_LCANCEL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_min_r' 'hl/thm/int/INT_MIN_MIN_/1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_nonneg'#@#variant 'hl/thm/Library/floor/RATIONAL_NEG_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_xI_succ_xO' 'hl/thm/nums/BIT1_DEF_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_nonneg'#@#variant 'hl/thm/real/REAL_SGN_INEQS_0'#@#variant
0. 'coq/Coq_Reals_Rtopology_open_set_P3' 'hl/thm/Multivariate/realanalysis/REAL_MEASURABLE_UNION_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pred_succ' 'hl/thm/Library/transc/ATN_TAN_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_opp' 'hl/thm/int/int_neg_th_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_lt_mono_nonneg'#@#variant 'hl/thm/Library/analysis/REAL_LT_MUL2_ALT_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_div2_nonneg'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_POS_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_pos'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_POS_LT_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_2' 'hl/thm/int/INT_SGN_0_'
0. 'coq/Coq_Reals_Rtopology_open_set_P2' 'hl/thm/Multivariate/realanalysis/REAL_MEASURABLE_UNION_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_square_spec' 'hl/thm/arith/BIT0_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_null'#@#variant 'hl/thm/int/INT_SGN_EQ_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_even_2'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_div2_nonneg'#@#variant 'hl/thm/Library/floor/RATIONAL_NEG_EQ_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftl_mul_pow2'#@#variant 'hl/thm/Multivariate/complexes/complex_div_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_lt_iff' 'hl/thm/real/REAL_MIN_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_eq_0' 'hl/thm/Complex/complexnumbers/COMPLEX_ENTIRE_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lor_0_l' 'hl/thm/realax/HREAL_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_pos_r'#@#variant 'hl/thm/real/REAL_LT_RMUL_EQ_'#@#variant
0. 'coq/Coq_ZArith_Zpower_two_p_is_exp'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_MUL_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_inv_norm' 'hl/thm/Library/floor/RATIONAL_INV_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_ge' 'hl/thm/int/INT_OF_NUM_LT_'
0. 'coq/Coq_NArith_BinNat_N_max_id' 'hl/thm/int/INT_MIN_ACI_3'
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_triang_inv' 'hl/thm/real/REAL_SUB_ABS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftl_mul_pow2'#@#variant 'hl/thm/int/INT_SUB_RNEG_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_pos'#@#variant 'hl/thm/int/INT_SGN_INEQS_1'#@#variant
0. 'coq/Coq_NArith_Ndist_ni_le_min_2' 'hl/thm/real/REAL_MIN_MIN_/1'
0. 'coq/Coq_ZArith_BinInt_Z_lcm_eq_0' 'hl/thm/realarith/REAL_ENTIRE_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_glb' 'hl/thm/Library/prime/DIVIDES_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_lxor_r' 'hl/thm/arith/ADD_SUC_'
0. 'coq/Coq_NArith_BinNat_N_min_glb' 'hl/thm/Library/prime/DIVIDES_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_opp_r' 'hl/thm/int/INT_NEG_RMUL_'
0. 'coq/Coq_Reals_Rtrigo_def_cos_sym' 'hl/thm/calc_int/REAL_ABS_NEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mod_le' 'hl/thm/arith/MOD_LE_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rmax_Rle' 'hl/thm/real/REAL_LT_MAX_'
0. 'coq/Coq_ZArith_BinInt_Z_land_lnot_diag' 'hl/thm/int/INT_ADD_RINV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div_add_l' 'hl/thm/arith/DIV_MULT_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_0_iff' 'hl/thm/int/INT_ABS_ZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pred_div2_up' 'hl/thm/Complex/complexnumbers/CX_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_pos'#@#variant 'hl/thm/Library/transc/LN_POS_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_lub_iff' 'hl/thm/int/INT_MAX_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sub_le_mono_r' 'hl/thm/arith/EXP_MONO_LE_IMP_'
0. 'coq/Coq_ZArith_BinInt_Zmult_0_r_reverse' 'hl/thm/int/INT_MUL_RZERO_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_succ_inj_wd' 'hl/thm/calc_num/ARITH_57'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_nonneg_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LE_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_Zpos' 'hl/thm/int/INT_OF_NUM_GT_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_succ_r' 'hl/thm/arith/MULT_SUC_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_add_lt_sub_r' 'hl/thm/real/REAL_LT_SUB_RADD_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_succ' 'hl/thm/Multivariate/transcendentals/CX_EXP_'#@#variant
0. 'coq/Coq_Bool_Bool_orb_false_l' 'hl/thm/arith/MULT_CLAUSES_2'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_nonneg' 'hl/thm/calc_num/ARITH_80'
0. 'coq/Coq_ZArith_BinInt_Z_max_lub_iff' 'hl/thm/real/REAL_MAX_LT_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_le_iff' 'hl/thm/real/REAL_LT_MAX_'
0. 'coq/Coq_Arith_Plus_plus_le_compat_l' 'hl/thm/Library/prime/DIVIDES_MUL_L_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_lor'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_MUL_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_shuffle3' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_AC_2'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_0_l' 'hl/thm/int/INT_MUL_LID_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_max_le_compat_l' 'hl/thm/Library/integer/INT_DIVIDES_MUL_L_'
0. 'coq/Coq_PArith_BinPos_Pos_min_le_compat_r' 'hl/thm/Library/prime/LESS_MONO_ADD_'
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_pos_lt'#@#variant 'hl/thm/real/REAL_ABS_CASES_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_div_le_upper_bound' 'hl/thm/arith/LE_LDIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_le_mono_l' 'hl/thm/realax/NADD_LE_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_square_spec' 'hl/thm/arith/BIT0_'
0. 'coq/Coq_Reals_Ratan_Ratan_seq_opp' 'hl/thm/Multivariate/complexes/COMPLEX_POW_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_lt_trans' 'hl/thm/realarith/REAL_LET_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_id' 'hl/thm/real/REAL_MIN_ACI_3'
0. 'coq/Coq_ZArith_BinInt_Z_max_le_compat_l' 'hl/thm/realax/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_pos'#@#variant 'hl/thm/Library/transc/LN_POS_LT_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_1_l'#@#variant 'hl/thm/arith/MULT_CLAUSES_2'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lnot_land' 'hl/thm/Complex/complex_transc/CEXP_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lcm_diag' 'hl/thm/int/INT_MAX_ACI_3'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_le_compat_r' 'hl/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_pow' 'hl/thm/Multivariate/transcendentals/REAL_ABS_RPOW_'
0. 'coq/Coq_ZArith_Znat_Z2N_inj_quot2' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_INV_'
0. 'coq/Coq_Reals_Rtrigo1_tan_neg' 'hl/thm/Multivariate/transcendentals/CNJ_CCOS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_1_l'#@#variant 'hl/thm/realax/REAL_MUL_LID_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_pred' 'hl/thm/Multivariate/transcendentals/LOG_EXP_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_le_compat_l' 'hl/thm/Library/integer/INT_DIVIDES_MUL_L_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_trichotomy' 'hl/thm/Library/analysis/LESS_LESS_CASES_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_land_comm' 'hl/thm/realax/TREAL_ADD_SYM_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_id' 'hl/thm/real/REAL_MIN_ACI_3'
0. 'coq/Coq_Reals_Rpower_exp_ln'#@#variant 'hl/thm/Multivariate/transcendentals/EXP_LOG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_simpl_l' 'hl/thm/real/REAL_ADD_SUB_'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Topp_one_stable' 'hl/thm/Library/multiplicative/MULTIPLICATIVE_TAU_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_ge_cases' 'hl/thm/realarith/REAL_LET_TOTAL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_factor_l' 'hl/thm/int/INT_MAX_MAX_/0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_refl' 'hl/thm/realax/HREAL_LE_REFL_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_power_norm' 'hl/thm/Multivariate/complexes/REAL_POW_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_eq_le_incl' 'hl/thm/arith/EQ_IMP_LE_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_lt_iff' 'hl/thm/real/REAL_LT_MAX_'
0. 'coq/Coq_Reals_Raxioms_R1_neq_R0' 'hl/thm/Complex/complex_transc/COMPLEX_II_NZ_'#@#variant
0. 'coq/Coq_ZArith_Znat_Z2N_inj_0' 'hl/thm/Multivariate/complexes/RE_II_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_le_mono' 'hl/thm/Library/floor/FLOOR_MONO_'
0. 'coq/Coq_ZArith_BinInt_Z_div2_nonneg'#@#variant 'hl/thm/Library/transc/ATN_POS_LT_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_iff' 'hl/thm/Complex/complexnumbers/CX_INJ_'
0. 'coq/Coq_QArith_Qminmax_Q_min_glb_lt' 'hl/thm/Library/prime/DIVIDES_SUB_'
0. 'coq/Coq_NArith_BinNat_N_mul_lt_mono_pos_r'#@#variant 'hl/thm/real/REAL_LT_RMUL_EQ_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_0_sub'#@#variant 'hl/thm/realarith/REAL_SUB_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_le_compat_r' 'hl/thm/realax/NADD_LE_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_rem_same' 'hl/thm/arith/MOD_REFL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_le_refl' 'hl/thm/realax/TREAL_EQ_REFL_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_le_compat_r' 'hl/thm/Library/prime/LESS_MONO_ADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_le_incl' 'hl/thm/realax/TREAL_EQ_IMP_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_shuffle3' 'hl/thm/real/REAL_MAX_ACI_2'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_nle' 'hl/thm/int/INT_LT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_le_compat_r' 'hl/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Zle_Qle' 'hl/thm/int/num_divides_'
0. 'coq/Coq_Numbers_Cyclic_ZModulo_ZModulo_Ptail_pos'#@#variant 'hl/thm/real/REAL_LE_POW2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_nonneg_l'#@#variant 'hl/thm/Library/analysis/REAL_LT_LMUL_IMP_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_le_lt_mono' 'hl/thm/int/INT_LET_ADD2_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_add' 'hl/thm/real/REAL_SUB_ADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_cancel_r' 'hl/thm/arith/LT_ADD_RCANCEL_'
0. 'coq/Coq_NArith_BinNat_N_pred_div2_up' 'hl/thm/int/int_sgn_th_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_xO_pred_double' 'hl/thm/calc_num/ARITH_17'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_cancel_r' 'hl/thm/realax/HREAL_EQ_ADD_RCANCEL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_nle' 'hl/thm/arith/NOT_LT_'
0. 'coq/Coq_ZArith_Zpow_facts_Zpower_pos_pos' 'hl/thm/int/INT_POW_LE_1_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lcm_1_l'#@#variant 'hl/thm/realax/REAL_ADD_LID_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_opp_sub_distr' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_LNEG_'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_succ' 'hl/thm/Multivariate/transcendentals/CX_SIN_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_opp_pred' 'hl/thm/Multivariate/transcendentals/REAL_EXP_NEG_'
0. 'coq/Coq_QArith_Qreduction_Qred_opp' 'hl/thm/real/REAL_ABS_INV_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div_le_mono'#@#variant 'hl/thm/Library/analysis/REAL_LE_RMUL_IMP_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_lt_mono_r' 'hl/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_Reals_Rbasic_fun_RRle_abs' 'hl/thm/int/INT_ABS_LE_'
0. 'coq/Coq_QArith_Qminmax_Q_max_le_compat_l' 'hl/thm/real/REAL_LT_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_id' 'hl/thm/real/REAL_MIN_ACI_3'
0. 'coq/Coq_Reals_Rminmax_R_min_le_iff' 'hl/thm/int/INT_MIN_LE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_nonneg'#@#variant 'hl/thm/int/INT_SGN_INEQS_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_lcm_l' 'hl/thm/arith/LE_ADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_le_mono_l' 'hl/thm/Library/prime/LESS_MONO_ADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_lub_lt_iff' 'hl/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_PArith_BinPos_Pos_le_max_l' 'hl/thm/realax/NADD_LE_ADD_'
0. 'coq/Coq_NArith_BinNat_N_mul_shuffle3' 'hl/thm/realax/HREAL_ADD_AC_2'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_le_mono' 'hl/thm/Library/transc/ATN_MONO_LT_'
0. 'coq/Coq_Arith_Lt_lt_not_le' 'hl/thm/int/INT_LTE_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_nle_gt' 'hl/thm/arith/NOT_LT_'
0. 'coq/Coq_PArith_BinPos_Pos_max_le_compat_l' 'hl/thm/realax/TREAL_LE_LADD_IMP_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_lt_mono_pos_l'#@#variant 'hl/thm/int/INT_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_odd_1'#@#variant 'hl/thm/Multivariate/complexes/IM_II_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_lt_lin'#@#variant 'hl/thm/Library/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_le_compat_r' 'hl/thm/realax/NADD_LE_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_even_1'#@#variant 'hl/thm/Multivariate/complexes/RE_II_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_eq_mul_1'#@#variant 'hl/thm/arith/MULT_EQ_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_pos_cancel_l'#@#variant 'hl/thm/int/INT_LT_MUL_EQ_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pred_succ' 'hl/thm/Library/transc/ATN_/2'
0. 'coq/Coq_PArith_BinPos_Pos_sub_lt' 'hl/thm/arith/DIV_LT_'#@#variant
0. 'coq/Coq_Arith_EqNat_eq_nat_refl' 'hl/thm/realax/TREAL_EQ_REFL_'#@#variant
0. 'coq/Coq_ZArith_Zpower_two_p_equiv' 'hl/thm/real/REAL_SUB_LZERO_'
0. 'coq/Coq_ZArith_BinInt_Z_sgn_nonneg'#@#variant 'hl/thm/real/REAL_SGN_INEQS_0'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_nge' 'hl/thm/Library/analysis/real_le_'
0. 'coq/Coq_PArith_BinPos_Pos_lt_add_diag_r' 'hl/thm/arith/LE_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_even_sub' 'hl/thm/int/INT_OF_NUM_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_glb_iff' 'hl/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_refl' 'hl/thm/arith/LE_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_add_cancel_l' 'hl/thm/arith/EQ_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_refl' 'hl/thm/Library/integer/INT_DIVIDES_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_refl' 'hl/thm/realax/HREAL_LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gt_lt_iff' 'hl/thm/realax/real_gt_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_le_trans' 'hl/thm/arith/LTE_TRANS_'
0. 'coq/Coq_ZArith_BinInt_Z_min_le_compat_r' 'hl/thm/Library/prime/DIVIDES_EXP_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_pow2'#@#variant 'hl/thm/Library/transc/LN_LE_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_shiftl_mul_pow2'#@#variant 'hl/thm/real/REAL_SUB_RNEG_'
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_pos'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_POS_LT_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_le_max_l' 'hl/thm/arith/LE_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_0_iff' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_EQ_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_alt_dichotomy' 'hl/thm/arith/LE_CASES_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_le_iff' 'hl/thm/int/INT_LE_MAX_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_inj_wd' 'hl/thm/nums/IND_SUC_INJ_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_succ_r' 'hl/thm/arith/MULT_SUC_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_double'#@#variant 'hl/thm/Library/transc/LN_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftr_div_pow2'#@#variant 'hl/thm/real/REAL_SUB_RNEG_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lor_diag' 'hl/thm/real/REAL_MAX_ACI_3'
0. 'coq/Coq_QArith_QArith_base_inject_Z_opp' 'hl/thm/Complex/complexnumbers/CX_NEG_'
0. 'coq/Coq_Init_Peano_plus_O_n' 'hl/thm/realax/HREAL_ADD_LID_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_opp_norm' 'hl/thm/Library/floor/INTEGER_CLOSED_6'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_null'#@#variant 'hl/thm/int/INT_SGN_EQ_2'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_pred_succ' 'hl/thm/Multivariate/transcendentals/CSIN_CASN_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_divide_lcm_r' 'hl/thm/arith/LE_ADDR_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_neq_succ_0' 'hl/thm/Library/transc/REAL_EXP_NZ_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qinv_lt_0_compat'#@#variant 'hl/thm/Library/pocklington/PHI_LOWERBOUND_1_STRONG_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zmult_le_compat_l'#@#variant 'hl/thm/Library/analysis/REAL_LT_LMUL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_null'#@#variant 'hl/thm/real/REAL_SGN_EQ_2'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_le_lin'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_LE_X_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zmult_lt_0_le_reg_r'#@#variant 'hl/thm/real/REAL_LT_RCANCEL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_even_2'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_0_r' 'hl/thm/Library/prime/INDEX_0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lor_m1_r'#@#variant 'hl/thm/calc_int/REAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rplus_ne/1' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_lor' 'hl/thm/Multivariate/transcendentals/REAL_EXP_SUB_'
0. 'coq/Coq_ZArith_BinInt_Z_sgn_sgn' 'hl/thm/int/INT_SGN_INT_SGN_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_inj_wd' 'hl/thm/Multivariate/vectors/SQRT_INJ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_pos'#@#variant 'hl/thm/Library/pocklington/EVEN_PHI_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_succ_l' 'hl/thm/calc_int/REAL_MUL_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_cancel_l' 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_ADD_LCANCEL_'
0. 'coq/Coq_Reals_Rfunctions_pow_mult' 'hl/thm/Multivariate/complexes/COMPLEX_POW_POW_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_eq_le_incl' 'hl/thm/int/INT_EQ_IMP_LE_'
0. 'coq/Coq_Bool_Bool_diff_true_false' 'hl/thm/Library/analysis/REAL_10_'#@#variant
0. 'coq/Coq_Bool_Bool_orb_true_r' 'hl/thm/int/INT_MUL_RZERO_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_2_r'#@#variant 'hl/thm/arith/EXP_2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_r' 'hl/thm/realax/NADD_LE_RMUL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_double_size_level' 'hl/thm/Multivariate/transcendentals/CX_ATN_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_le_compat_r' 'hl/thm/realax/NADD_LE_RMUL_'
0. 'coq/Coq_ZArith_BinInt_Zplus_succ_r_reverse' 'hl/thm/real/REAL_NEG_RMUL_'
0. 'coq/Coq_Arith_Factorial_fact_neq_0' 'hl/thm/nums/IND_SUC_0_'
0. 'coq/Coq_NArith_BinNat_N_log2_up_pow2'#@#variant 'hl/thm/Library/transc/EXP_LN_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_abs_0_iff' 'hl/thm/real/REAL_NEG_EQ_0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lcm_divide_iff' 'hl/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_even_spec' 'hl/thm/Multivariate/complexes/real_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_Even_or_Odd' 'hl/thm/arith/EVEN_OR_ODD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_pos'#@#variant 'hl/thm/Multivariate/transcendentals/REAL_EXP_LT_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_refl' 'hl/thm/realax/NADD_LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_1_l' 'hl/thm/realax/REAL_ADD_LID_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_sub_le_mono_r' 'hl/thm/Library/analysis/LESS_MONO_ADD_'
0. 'coq/Coq_PArith_BinPos_Pos_le_lteq' 'hl/thm/arith/LE_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_le_lin' 'hl/thm/Library/floor/FLOOR_/1'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_0_r'#@#variant 'hl/thm/arith/MOD_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lcm_eq_0' 'hl/thm/Complex/complexnumbers/COMPLEX_ENTIRE_'#@#variant
0. 'coq/Coq_ZArith_Znat_Z2Nat_inj_pred' 'hl/thm/Multivariate/complexes/CX_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_succ' 'hl/thm/Complex/complex_transc/CEXP_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_succ_l' 'hl/thm/arith/ADD_CLAUSES_2'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_pos'#@#variant 'hl/thm/Multivariate/vectors/SQRT_LE_0_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_le_mono' 'hl/thm/realax/NADD_INV_WELLDEF_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_pos_cancel_l'#@#variant 'hl/thm/real/REAL_LT_MUL_EQ_0'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_sub_le' 'hl/thm/arith/DIV_LT_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pow_le_mono_r_iff'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LE_EQ_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_sin_neg' 'hl/thm/Multivariate/transcendentals/CNJ_CSIN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_pos_iff'#@#variant 'hl/thm/Library/floor/REAL_FRAC_EQ_0_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_succ_l' 'hl/thm/arith/ADD_CLAUSES_2'
0. 'coq/Coq_NArith_BinNat_N_lcm_1_l' 'hl/thm/realax/HREAL_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_inj_wd' 'hl/thm/real/REAL_EQ_NEG2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_shuffle3' 'hl/thm/int/INT_MUL_AC_2'
0. 'coq/Coq_MMaps_MMapPositive_PositiveMap_E_bits_lt_antirefl' 'hl/thm/realarith/REAL_LT_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_inj_wd' 'hl/thm/Library/transc/ATN_INJ_'
0. 'coq/Coq_Reals_RIneq_Rge_or_gt' 'hl/thm/int/INT_LET_TOTAL_'
0. 'coq/Coq_NArith_BinNat_N_le_antisymm' 'hl/thm/Library/analysis/LESS_EQUAL_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_le_mono_l' 'hl/thm/int/INT_LE_LADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_le_iff' 'hl/thm/int/INT_MIN_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_divide_mono_l' 'hl/thm/realax/NADD_LE_LMUL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_assoc' 'hl/thm/realax/NADD_MUL_ASSOC_'
0. 'coq/Coq_ZArith_BinInt_Z_lcm_1_l'#@#variant 'hl/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_inj_wd' 'hl/thm/real/REAL_EQ_NEG2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_simpl_r' 'hl/thm/arith/ADD_SUB_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lcm_1_l'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_mod_idemp_r' 'hl/thm/arith/MOD_MULT_RMOD_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_le_compat_l' 'hl/thm/Library/integer/INT_DIVIDES_MUL_L_'
0. 'coq/Coq_Reals_Rtrigo1_sin_neg' 'hl/thm/Library/transc/TAN_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_divide_add_cancel_l' 'hl/thm/Library/prime/DIVIDES_ADD_REVL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_lub_lt_iff' 'hl/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ge_le_iff' 'hl/thm/arith/GE_'
0. 'coq/Coq_Arith_PeanoNat_Nat_min_le_iff' 'hl/thm/int/INT_MIN_LE_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_le_lin'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_lt_mono_nonneg'#@#variant 'hl/thm/real/REAL_LT_MUL2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_cancel_r' 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_ADD_RCANCEL_'
0. 'coq/Coq_Init_Peano_pred_Sn' 'hl/thm/arith/PRE_1'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_refl' 'hl/thm/Complex/cpoly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_cancel_l' 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_refl' 'hl/thm/Library/prime/DIVIDES_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_succ_pred' 'hl/thm/Multivariate/transcendentals/ATN_TAN_'
0. 'coq/Coq_ZArith_BinInt_Z_abs_0_iff' 'hl/thm/calc_num/ARITH_52'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_le_compat_r' 'hl/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_pos'#@#variant 'hl/thm/real/REAL_SGN_INEQS_0'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_nonneg'#@#variant 'hl/thm/real/REAL_SGN_INEQS_1'#@#variant
0. 'coq/Coq_Reals_Ratan_Ratan_seq_opp' 'hl/thm/real/REAL_SGN_POW_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_le_mono_l' 'hl/thm/real/REAL_LE_LADD_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_of_Z' 'hl/thm/Multivariate/vectors/LIFT_DROP_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_add_r' 'hl/thm/Library/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_ge_cases' 'hl/thm/arith/LE_CASES_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_r' 'hl/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_double_size_level' 'hl/thm/Multivariate/transcendentals/CX_TAN_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zlt_not_le' 'hl/thm/int/INT_LET_ANTISYM_'
0. 'coq/Coq_ZArith_BinInt_Z_even_2'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_lub_lt_iff' 'hl/thm/real/REAL_MAX_LT_'
0. 'coq/Coq_NArith_BinNat_N_add_succ_l' 'hl/thm/Multivariate/transcendentals/REAL_ABS_RPOW_'
0. 'coq/Coq_QArith_Qabs_Qabs_Qle_condition' 'hl/thm/real/REAL_BOUNDS_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_le_mono_nonneg_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LE_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_abs' 'hl/thm/int/int_neg_th_'
0. 'coq/Coq_Reals_RIneq_Rlt_not_le' 'hl/thm/int/INT_LTE_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_add_lt_sub_r' 'hl/thm/int/INT_LT_ADD_SUB_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sub_0_le' 'hl/thm/arith/SUB_EQ_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_mod' 'hl/thm/arith/MOD_ADD_MOD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_2' 'hl/thm/calc_int/REAL_NEG_0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_1_l'#@#variant 'hl/thm/realax/HREAL_ADD_LID_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_divide_refl' 'hl/thm/Complex/cpoly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_Reals_Rpower_arcsinh_lt' 'hl/thm/Library/transc/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_QArith_Qreals_Q2R_opp' 'hl/thm/Complex/complexnumbers/CX_NEG_'
0. 'coq/Coq_PArith_BinPos_Pos_min_glb_iff' 'hl/thm/real/REAL_LT_MIN_'
0. 'coq/Coq_Reals_Rtrigo_def_sin_antisym' 'hl/thm/Multivariate/transcendentals/CNJ_CTAN_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_le_pred_l' 'hl/thm/Library/pocklington/PHI_LIMIT_'
0. 'coq/Coq_Arith_PeanoNat_Nat_div_add_l' 'hl/thm/arith/DIV_MULT_ADD_'#@#variant
0. 'coq/Coq_ZArith_Zquot_Zquot_opp_l' 'hl/thm/int/INT_MUL_LNEG_'
0. 'coq/Coq_NArith_BinNat_N_pred_succ' 'hl/thm/Library/transc/ATN_/2'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_max_r' 'hl/thm/arith/LE_ADDR_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div_mul' 'hl/thm/real/REAL_DIV_RMUL_'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qcle_refl' 'hl/thm/arith/LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_lt_mono_nonneg'#@#variant 'hl/thm/Library/analysis/REAL_LE_MUL2V_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pred_div2_up' 'hl/thm/Multivariate/transcendentals/CX_COS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_sub_le_add_r' 'hl/thm/int/INT_LE_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_succ_r_prime' 'hl/thm/arith/MULT_SUC_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_quot2' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_INV_'
0. 'coq/Coq_Arith_PeanoNat_Nat_odd_2'#@#variant 'hl/thm/nums/ZERO_DEF_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_gt_cases' 'hl/thm/realarith/REAL_LET_TOTAL_'
0. 'coq/Coq_Reals_Rtrigo_calc_cos_PI4'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_1_'#@#variant
0. 'coq/Coq_Reals_ROrderedType_ROrder_le_refl' 'hl/thm/realax/TREAL_EQ_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lcm_eq_0' 'hl/thm/arith/MULT_EQ_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_r' 'hl/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_1_l'#@#variant 'hl/thm/int/INT_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_add_r' 'hl/thm/Library/prime/DIVIDES_ADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_succ_pred'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_LE_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_shuffle3' 'hl/thm/arith/ADD_AC_2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_lt_lin'#@#variant 'hl/thm/Library/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_lt_mono_r'#@#variant 'hl/thm/real/REAL_LE_LMUL_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_cancel_r' 'hl/thm/realax/HREAL_EQ_ADD_RCANCEL_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_sub_lt_add_r' 'hl/thm/real/REAL_LT_SUB_LADD_'
0. 'coq/Coq_QArith_Qreduction_Qred_opp' 'hl/thm/Complex/complex_transc/CSIN_NEG_'
0. 'coq/Coq_Arith_PeanoNat_Nat_max_lub_r' 'hl/thm/Library/integer/INT_DIVIDES_LMUL2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_lub_iff' 'hl/thm/int/INT_MAX_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_eq_0' 'hl/thm/arith/MULT_EQ_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_opp_r' 'hl/thm/int/INT_SUB_RNEG_'
0. 'coq/Coq_ZArith_BinInt_Z_divide_factor_r' 'hl/thm/arith/LE_ADDR_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_0_r'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_0_'#@#variant
0. 'coq/Coq_PArith_Pnat_SuccNat2Pos_inj_succ' 'hl/thm/Multivariate/transcendentals/CX_TAN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_le_mono_pos_r'#@#variant 'hl/thm/int/INT_LT_RMUL_EQ_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_divide_mono_r' 'hl/thm/arith/EXP_MONO_LE_IMP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_nlt_ge' 'hl/thm/arith/NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_lub_lt_iff' 'hl/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_Reals_Rminmax_R_max_le_iff' 'hl/thm/real/REAL_LT_MAX_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div2_neg' 'hl/thm/real/REAL_SGN_INEQS_7'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_land_0_r' 'hl/thm/realax/HREAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_succ_l' 'hl/thm/arith/ADD_CLAUSES_2'
0. 'coq/Coq_ZArith_BinInt_Z_setbit_spec_prime'#@#variant 'hl/thm/real/REAL_SUB_RNEG_'
0. 'coq/Coq_ZArith_Znumtheory_rel_prime_div' 'hl/thm/int/INT_LET_TRANS_'
0. 'coq/Coq_Reals_RIneq_opp_IZR' 'hl/thm/Multivariate/complexes/IM_CNJ_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_le_compat_r' 'hl/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_min_glb_lt' 'hl/thm/Library/integer/INT_DIVIDES_ADD_'
0. 'coq/Coq_Arith_Gt_plus_gt_compat_l' 'hl/thm/real/REAL_LT_LADD_IMP_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_nonneg'#@#variant 'hl/thm/real/REAL_LE_MUL2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sub_le_mono_r' 'hl/thm/arith/EXP_MONO_LE_IMP_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_le_compat_l' 'hl/thm/real/REAL_LT_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_square_spec' 'hl/thm/arith/BIT0_'
0. 'coq/Coq_Reals_Rbasic_fun_RRle_abs' 'hl/thm/Library/analysis/LESS_SUC_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_divide_iff' 'hl/thm/int/INT_LE_MIN_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_rem_opp_l_prime' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_neq_succ_0' 'hl/thm/Library/transc/REAL_EXP_NZ_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lcm_1_l'#@#variant 'hl/thm/int/INT_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_null_iff' 'hl/thm/int/INT_NEG_EQ_0_'#@#variant
0. 'coq/Coq_Reals_RIneq_Ropp_0_le_ge_contravar'#@#variant 'hl/thm/Library/pocklington/EVEN_PHI_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_max_distr_l' 'hl/thm/arith/EXP_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_sub_le_add_r' 'hl/thm/real/REAL_LE_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_add_cancel_r' 'hl/thm/Complex/cpoly/POLY_DIVIDES_SUB_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_sqrt' 'hl/thm/Complex/complexnumbers/CX_INV_'
0. 'coq/Coq_Reals_Rpower_arcsinh_le' 'hl/thm/Library/transc/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_greatest' 'hl/thm/Complex/cpoly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_max_r' 'hl/thm/int/INT_MAX_MAX_/1'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_glb' 'hl/thm/Library/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_assoc' 'hl/thm/realax/TREAL_MUL_ASSOC_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_gcd_greatest' 'hl/thm/Library/integer/INT_DIVIDES_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_odd_1'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_max_distr' 'hl/thm/realax/NADD_LDISTRIB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div2_nonneg'#@#variant 'hl/thm/int/INT_SGN_INEQS_1'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_ge_cases' 'hl/thm/arith/LTE_CASES_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_pos'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_POS_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_clearbit_spec_prime'#@#variant 'hl/thm/realax/real_div_'
0. 'coq/Coq_NArith_BinNat_N_le_succ_diag_r' 'hl/thm/Library/analysis/LESS_SUC_REFL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_l' 'hl/thm/realax/TREAL_LE_LADD_IMP_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zle_0_pos'#@#variant 'hl/thm/Library/floor/INTEGER_CLOSED_0'
0. 'coq/Coq_ZArith_BinInt_Z_quot_pos'#@#variant 'hl/thm/int/INT_LTE_ADD_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_le_compat_r' 'hl/thm/Library/analysis/LESS_MONO_ADD_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_iff' 'hl/thm/Multivariate/vectors/LIFT_EQ_'#@#variant
0. 'coq/Coq_Reals_Ratan_atan_opp' 'hl/thm/real/REAL_SGN_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_succ_r' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_eq_mul_1'#@#variant 'hl/thm/arith/MULT_EQ_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_lt_mono_l_iff' 'hl/thm/Library/prime/DIVIDES_EXP2_EQ_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_shuffle3' 'hl/thm/real/REAL_MAX_ACI_2'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div2_nonneg'#@#variant 'hl/thm/Library/floor/INTEGER_NEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_lt_mono_nonneg'#@#variant 'hl/thm/Library/analysis/REAL_LT_MUL2_ALT_'#@#variant
0. 'coq/Coq_QArith_QOrderedType_QOrder_le_refl' 'hl/thm/realax/REAL_LE_REFL_'
0. 'coq/Coq_ZArith_Zpow_facts_Zpower_pos_1_l'#@#variant 'hl/thm/real/REAL_POW_ONE_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_succ_l' 'hl/thm/int/INT_MUL_LNEG_'
0. 'coq/Coq_NArith_BinNat_N_div2_double' 'hl/thm/Library/transc/ATN_TAN_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_mod_idemp_l' 'hl/thm/arith/MOD_MULT_LMOD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_add_lt_sub_r' 'hl/thm/int/INT_LT_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_lt_mono_r' 'hl/thm/realax/NADD_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_factor_r' 'hl/thm/real/REAL_MAX_MAX_/1'
0. 'coq/Coq_fourier_Fourier_util_Rle_zero_pos_plus1'#@#variant 'hl/thm/Multivariate/transcendentals/REAL_COS_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_involutive' 'hl/thm/Multivariate/complexes/COMPLEX_INV_INV_'#@#variant
0. 'coq/Coq_NArith_Ndigits_Ndiv2_double_plus_one' 'hl/thm/Multivariate/transcendentals/EXP_LOG_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_add_r' 'hl/thm/Complex/cpoly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_sub_le_add_r' 'hl/thm/real/REAL_LT_ADD_SUB_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_nge' 'hl/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_NArith_BinNat_N_clearbit_spec_prime'#@#variant 'hl/thm/Complex/complexnumbers/complex_sub_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_succ' 'hl/thm/Multivariate/transcendentals/CX_COS_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lor_0_l' 'hl/thm/arith/ADD_CLAUSES_0'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_add_lt_sub_r' 'hl/thm/real/REAL_LT_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_succ_l' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_LMUL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_glb' 'hl/thm/Complex/cpoly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_shuffle3' 'hl/thm/Multivariate/complexes/COMPLEX_MUL_AC_2'#@#variant
0. 'coq/Coq_Reals_Rfunctions_pow_lt' 'hl/thm/int/INT_POW_LE_1_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_min_le_compat_r' 'hl/thm/arith/EXP_MONO_LE_IMP_'
0. 'coq/Coq_Reals_RIneq_Ropp_minus_distr' 'hl/thm/realarith/REAL_NEG_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_ldiff' 'hl/thm/int/INT_SUB_LNEG_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_refl' 'hl/thm/Library/prime/DIVIDES_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_le_mono_r' 'hl/thm/arith/LE_ADD_RCANCEL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_sub_diag' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_REFL_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_lt_iff' 'hl/thm/real/REAL_MIN_LT_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_ge_cases' 'hl/thm/int/INT_LTE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_nle_gt' 'hl/thm/arith/NOT_LT_'
0. 'coq/Coq_ZArith_Zlogarithm_log_sup_correct1'#@#variant 'hl/thm/Library/floor/RATIONAL_NUM_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_opp_opp' 'hl/thm/arith/SUB_SUC_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_sqrt_sqrt_up' 'hl/thm/Multivariate/transcendentals/REAL_EXP_LE_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_min_r' 'hl/thm/int/INT_MIN_MIN_/1'
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_add_cancel_r' 'hl/thm/Library/integer/INT_DIVIDES_ADD_REVR_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gt_lt_iff' 'hl/thm/arith/GT_'
0. 'coq/Coq_Reals_Rtopology_compact_P5' 'hl/thm/Multivariate/realanalysis/REAL_MEASURABLE_OPEN_'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_pred' 'hl/thm/Multivariate/transcendentals/CX_TAN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mod_1_r'#@#variant 'hl/thm/arith/MOD_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sub_diag' 'hl/thm/arith/SUB_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_lt_le_mono' 'hl/thm/real/REAL_LTE_ADD2_'
0. 'coq/Coq_ZArith_Zdiv_Zmod_0_r' 'hl/thm/Library/pocklington/ORDER_1_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_divide_mono_l' 'hl/thm/Library/prime/DIVIDES_MUL_L_'
0. 'coq/Coq_QArith_Qpower_Qpower_pos_positive'#@#variant 'hl/thm/Multivariate/complexes/REAL_POW_'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qcplus_opp_r'#@#variant 'hl/thm/int/INT_ADD_RINV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_nonneg'#@#variant 'hl/thm/real/REAL_LE_MUL2_'#@#variant
0. 'coq/Coq_ZArith_Zdiv_Zdiv_lt_upper_bound'#@#variant 'hl/thm/Library/analysis/REAL_LE_LDIV_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_le_trans' 'hl/thm/arith/LTE_TRANS_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_nonneg_pos'#@#variant 'hl/thm/realarith/REAL_LET_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_1_l'#@#variant 'hl/thm/realax/REAL_ADD_LID_'#@#variant
0. 'coq/Coq_Reals_Ratan_atan_bound/1'#@#variant 'hl/thm/Library/transc/COS_BOUNDS_/1'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_max_id' 'hl/thm/real/REAL_MAX_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_shuffle3' 'hl/thm/int/INT_MUL_AC_2'
0. 'coq/Coq_QArith_QOrderedType_QOrder_le_eq' 'hl/thm/arith/LTE_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_divide_cancel_r' 'hl/thm/Library/prime/DIVIDES_RMUL2_EQ_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_1_l' 'hl/thm/realax/REAL_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_le_incl' 'hl/thm/int/INT_LT_IMP_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_1_l'#@#variant 'hl/thm/arith/ADD_CLAUSES_0'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_eq'#@#variant 'hl/thm/Library/floor/REAL_FLOOR_REFL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_add_lt_sub_r' 'hl/thm/int/INT_LE_SUB_RADD_'
0. 'coq/Coq_Lists_List_incl_app' 'hl/thm/Multivariate/vectors/ORTHOGONAL_CLAUSES_9'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_cancel_r' 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_ADD_RCANCEL_'
0. 'coq/Coq_Arith_Div2_lt_div2'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_LT_X_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_opp_sub_distr' 'hl/thm/int/INT_SUB_LNEG_'
0. 'coq/Coq_ZArith_BinInt_Z_le_max_r' 'hl/thm/arith/LE_ADDR_'
0. 'coq/Coq_ZArith_BinInt_Z_lnot_involutive' 'hl/thm/real/REAL_INV_INV_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gt_lt_iff' 'hl/thm/realax/real_ge_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_pred_l' 'hl/thm/Library/pocklington/PHI_LIMIT_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_1_r' 'hl/thm/arith/MULT_0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_succ_diag_r' 'hl/thm/arith/LT_POW2_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lxor_eq_0_iff' 'hl/thm/realarith/REAL_SUB_0_'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_id' 'hl/thm/Multivariate/vectors/LIFT_DROP_0'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tmult_opp_left_stable' 'hl/thm/Library/multiplicative/MULTIPLICATIVE_PHI_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_sub_r' 'hl/thm/Library/prime/DIVIDES_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div2_nonneg' 'hl/thm/real/REAL_SGN_INEQS_3'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_1_r' 'hl/thm/arith/ADD1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_2' 'hl/thm/Multivariate/misc/SQRT_0_'
0. 'coq/Coq_PArith_BinPos_Pos_gcd_greatest' 'hl/thm/Library/integer/INT_DIVIDES_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_abs_r' 'hl/thm/Library/integer/INT_DIVIDES_RABS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_refl' 'hl/thm/realax/TREAL_LE_REFL_'#@#variant
0. 'coq/Coq_Reals_ROrderedType_ROrder_not_gt_le' 'hl/thm/realarith/REAL_LET_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_0_l' 'hl/thm/arith/MULT_CLAUSES_2'#@#variant
0. 'coq/Coq_Bool_Bool_orb_true_r' 'hl/thm/realax/HREAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_divide_mul_l' 'hl/thm/Library/prime/DIVIDES_RMUL_'
0. 'coq/Coq_Reals_Rfunctions_pow_le' 'hl/thm/int/INT_POW_LE_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_pos'#@#variant 'hl/thm/real/REAL_SGN_INEQS_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_cancel_r' 'hl/thm/arith/EQ_ADD_RCANCEL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_even_2' 'hl/thm/Multivariate/complexes/IM_II_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_odd_1'#@#variant 'hl/thm/nums/ZERO_DEF_'
0. 'coq/Coq_ZArith_Znat_Z2Nat_inj_pred' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_INV_'
0. 'coq/Coq_fourier_Fourier_util_Rle_zero_pos_plus1'#@#variant 'hl/thm/Library/pocklington/PHI_LOWERBOUND_1_STRONG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_Even_or_Odd' 'hl/thm/arith/EVEN_OR_ODD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_even_1' 'hl/thm/Multivariate/complexes/IM_II_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_mul_r' 'hl/thm/Library/integer/INT_DIVIDES_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_1_l'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pred_le_mono' 'hl/thm/Library/floor/FLOOR_MONO_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_even_0' 'hl/thm/Multivariate/complexes/IM_II_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_le_lin' 'hl/thm/Library/floor/FLOOR_/1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_glb_iff' 'hl/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_fourier_Fourier_util_Rle_zero_1' 'hl/thm/Library/transc/PI2_BOUNDS_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_pos'#@#variant 'hl/thm/Library/integer/INT_PRIME_ABS_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_le_mono_l' 'hl/thm/int/INT_LT_LADD_'
0. 'coq/Coq_ZArith_BinInt_Z_add_cancel_l' 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_ADD_LCANCEL_'
0. 'coq/Coq_ZArith_Zpower_two_power_nat_S'#@#variant 'hl/thm/Multivariate/transcendentals/CX_EXP_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_div_same'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_DIV_REFL_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_neq' 'hl/thm/int/INT_LT_IMP_NE_'
0. 'coq/Coq_Reals_Rtrigo1_sin_neg' 'hl/thm/calc_num/ARITH_2'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_id' 'hl/thm/int/INT_MIN_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_shuffle3' 'hl/thm/int/INT_MUL_AC_2'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_lt_lin'#@#variant 'hl/thm/Library/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_rem_opp_l_prime' 'hl/thm/int/INT_MUL_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_le_mono' 'hl/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_add_le_mono_l' 'hl/thm/realax/HREAL_LE_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_lt_mono_l' 'hl/thm/arith/LE_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_add_le' 'hl/thm/int/INT_ABS_TRIANGLE_'
0. 'coq/Coq_QArith_QArith_base_Zle_Qle' 'hl/thm/int/int_ge_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_le_mono' 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_1_r' 'hl/thm/int/INT_MUL_RZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_nonneg'#@#variant 'hl/thm/Library/transc/ATN_POS_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftr_div_pow2'#@#variant 'hl/thm/realax/real_div_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_inj_wd' 'hl/thm/Library/transc/ATN_INJ_'
0. 'coq/Coq_fourier_Fourier_util_Rle_zero_pos_plus1'#@#variant 'hl/thm/Library/floor/INTEGER_CLOSED_6'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_le_mono_nonneg'#@#variant 'hl/thm/real/REAL_LT_MUL2_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qinv_le_0_compat'#@#variant 'hl/thm/Multivariate/complexes/REAL_INV_'#@#variant
0. 'coq/Coq_QArith_QOrderedType_QOrder_le_refl' 'hl/thm/realax/NADD_EQ_REFL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_0_l' 'hl/thm/realax/REAL_ADD_LID_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_opp' 'hl/thm/Complex/complex_transc/CCOS_NEG_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_lt_add_l' 'hl/thm/Library/prime/DIVIDES_LMUL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div_same'#@#variant 'hl/thm/real/REAL_DIV_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_pos_neg'#@#variant 'hl/thm/int/INT_NEG_GE0_'#@#variant
0. 'coq/Coq_ZArith_Zquot_Zquot_opp_opp' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_MUL2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_simpl_r' 'hl/thm/arith/ADD_SUB_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_ge_cases' 'hl/thm/realax/HREAL_LE_TOTAL_'
0. 'coq/Coq_NArith_BinNat_N_nle_gt' 'hl/thm/arith/NOT_LE_'
0. 'coq/Coq_ZArith_BinInt_Z_le_succ_diag_r' 'hl/thm/Library/analysis/LESS_SUC_REFL_'
0. 'coq/Coq_PArith_BinPos_Pos_succ_not_1' 'hl/thm/nums/NOT_SUC_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_nonpos_nonneg'#@#variant 'hl/thm/real/REAL_NEG_LT0_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_square' 'hl/thm/Multivariate/transcendentals/CX_TAN_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lxor_comm' 'hl/thm/realax/TREAL_ADD_SYM_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftr_opp_r' 'hl/thm/real/REAL_SUB_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_add_r' 'hl/thm/Library/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_land_diag' 'hl/thm/real/REAL_MAX_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mod_0_l' 'hl/thm/arith/MOD_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_lt_mono_l' 'hl/thm/int/INT_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pred_le_mono' 'hl/thm/Library/transc/ATN_MONO_LT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_pos'#@#variant 'hl/thm/Library/transc/REAL_EXP_LT_1_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mod_0_l' 'hl/thm/arith/DIV_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_lt_lin'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_LT_X_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_sqrt' 'hl/thm/Complex/complex_transc/CX_CSIN_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_min_r' 'hl/thm/int/INT_MIN_MIN_/1'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_lt_iff' 'hl/thm/int/INT_MIN_LE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_ngt' 'hl/thm/int/INT_LT_'
0. 'coq/Coq_Reals_Rminmax_R_min_glb' 'hl/thm/Library/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_simpl_l' 'hl/thm/int/INT_ADD_SUB_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_inj_wd' 'hl/thm/Library/transc/REAL_EXP_INJ_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_pos'#@#variant 'hl/thm/Library/floor/RATIONAL_NEG_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_shuffle3' 'hl/thm/Multivariate/complexes/COMPLEX_MUL_AC_2'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_min_glb_iff' 'hl/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_sgn' 'hl/thm/int/INT_SGN_ABS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_0_iff' 'hl/thm/real/REAL_SGN_INEQS_9'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_glb_lt_iff' 'hl/thm/int/INT_LE_MIN_'
0. 'coq/Coq_NArith_BinNat_N_pow_lt_mono'#@#variant 'hl/thm/Library/analysis/REAL_LT_MUL2_ALT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_ge_cases' 'hl/thm/arith/LET_CASES_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_double' 'hl/thm/Multivariate/transcendentals/CX_ATN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_nonneg'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_POS_LE_'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_succ' 'hl/thm/Multivariate/transcendentals/CX_EXP_'#@#variant
0. 'coq/Coq_Bool_Bool_orb_false_l' 'hl/thm/int/INT_ADD_LID_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lnot_lor' 'hl/thm/Multivariate/transcendentals/REAL_EXP_ADD_'
0. 'coq/Coq_PArith_BinPos_Pos_mul_lt_mono_r' 'hl/thm/int/INT_LT_RADD_'
0. 'coq/Coq_Reals_R_sqrt_sqrt_le_1_alt' 'hl/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_0_r' 'hl/thm/arith/MULT_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_nlt_ge' 'hl/thm/int/INT_NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_0_l' 'hl/thm/realax/HREAL_ADD_LID_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div2_neg' 'hl/thm/int/INT_SGN_INEQS_7'#@#variant
0. 'coq/Coq_Arith_Mult_mult_le_compat_l' 'hl/thm/int/INT_LE_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_pred' 'hl/thm/Multivariate/transcendentals/CSIN_CASN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_rem' 'hl/thm/arith/MOD_MULT_MOD2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_opp' 'hl/thm/Multivariate/vectors/SQRT_WORKS_GEN_/0'
0. 'coq/Coq_QArith_Qcanon_canon' 'hl/thm/Multivariate/complexes/CNJ_CX_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_min_glb_iff' 'hl/thm/int/INT_LT_MIN_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_lor'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_DIV_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qmult_comm' 'hl/thm/realax/NADD_MUL_SYM_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_pos' 'hl/thm/real/REAL_SGN_INEQS_3'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_pred' 'hl/thm/Multivariate/transcendentals/CCOS_CACS_'#@#variant
0. 'coq/Coq_Strings_Ascii_ascii_nat_embedding' 'hl/thm/Multivariate/vectors/LIFT_DROP_0'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_le_incl' 'hl/thm/int/INT_LT_IMP_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_add_r' 'hl/thm/Library/prime/DIVIDES_ADD_'
0. 'coq/Coq_ZArith_BinInt_Z_div2_nonneg'#@#variant 'hl/thm/Library/floor/INTEGER_NEG_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_shuffle3' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_AC_2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_opp_r' 'hl/thm/arith/ADD_SUC_'
0. 'coq/Coq_Reals_RIneq_Rmult_lt_reg_l'#@#variant 'hl/thm/real/REAL_LE_LCANCEL_IMP_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_gcd_1_r'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RZERO_'#@#variant
0. 'coq/Coq_Reals_Rfunctions_poly'#@#variant 'hl/thm/Library/analysis/REAL_POW_LBOUND_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_max_lt_iff' 'hl/thm/real/REAL_LE_MAX_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_lub_iff' 'hl/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_max_l' 'hl/thm/arith/LE_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_le_mono' 'hl/thm/Multivariate/transcendentals/ATN_MONO_LT_'
0. 'coq/Coq_Reals_Ratan_Ropp_div' 'hl/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_lor' 'hl/thm/Multivariate/transcendentals/REAL_EXP_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_pos'#@#variant 'hl/thm/Library/pocklington/PHI_LOWERBOUND_2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_diag' 'hl/thm/real/REAL_SUB_REFL_'#@#variant
0. 'coq/Coq_QArith_QOrderedType_QOrder_eq_refl' 'hl/thm/Library/poly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_lt_mono'#@#variant 'hl/thm/Library/analysis/REAL_LE_MUL2V_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lor_0_l' 'hl/thm/arith/MULT_CLAUSES_2'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_Nbasic_base_xO'#@#variant 'hl/thm/int/INT_OF_NUM_SUC_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_neq_0_succ' 'hl/thm/Multivariate/transcendentals/REAL_EXP_NZ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_refl' 'hl/thm/realax/HREAL_LE_REFL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_eq_sym_iff' 'hl/thm/realax/TREAL_EQ_SYM_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_le_min_l' 'hl/thm/real/REAL_MIN_MIN_/0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_nlt_ge' 'hl/thm/arith/NOT_LE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div2_spec'#@#variant 'hl/thm/arith/ADD1_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_clearbit_spec_prime'#@#variant 'hl/thm/realax/real_sub_'
0. 'coq/Coq_Reals_Ratan_atan_bound/1'#@#variant 'hl/thm/Library/transc/SIN_BOUNDS_/1'#@#variant
0. 'coq/Coq_NArith_BinNat_N_succ_0_discr' 'hl/thm/nums/IND_SUC_0_'
0. 'coq/Coq_QArith_Qabs_Qabs_Qle_condition' 'hl/thm/real/REAL_ABS_BOUNDS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_le_compat_l' 'hl/thm/realax/NADD_MUL_WELLDEF_LEMMA_'
0. 'coq/Coq_Reals_Rpower_ln_exp' 'hl/thm/Multivariate/transcendentals/CSIN_CASN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sub_le_mono_r' 'hl/thm/Library/prime/DIVIDES_EXP_'
0. 'coq/Coq_ZArith_BinInt_Z_max_le_compat_r' 'hl/thm/Library/prime/DIVIDES_EXP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_glb_iff' 'hl/thm/real/REAL_LT_MIN_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_diag' 'hl/thm/real/REAL_MIN_ACI_3'
0. 'coq/Coq_Numbers_Cyclic_Int31_Ring31_Int31ring_add_assoc'#@#variant 'hl/thm/realax/TREAL_MUL_ASSOC_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_pos' 'hl/thm/int/INT_SGN_INEQS_2'#@#variant
0. 'coq/Coq_Reals_Ratan_Datan_seq_pos'#@#variant 'hl/thm/Multivariate/complexes/REAL_POW_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_0_sub'#@#variant 'hl/thm/realarith/REAL_SUB_LT_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_comm' 'hl/thm/realax/NADD_MUL_SYM_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftr_opp_r' 'hl/thm/realax/real_div_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_inj_wd' 'hl/thm/nums/IND_SUC_INJ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_0_r' 'hl/thm/Library/integer/INT_DIVIDES_0_'#@#variant
0. 'coq/Coq_Lists_List_app_assoc' 'hl/thm/Multivariate/vectors/VECTOR_ADD_AC_1'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_pos' 'hl/thm/real/REAL_SGN_INEQS_2'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_0_r'#@#variant 'hl/thm/arith/EXP_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_le_iff' 'hl/thm/int/INT_MIN_LT_'
0. 'coq/Coq_QArith_Qpower_Qpower_pos_positive'#@#variant 'hl/thm/Library/floor/RATIONAL_POW_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_gcd_greatest' 'hl/thm/Library/integer/INT_DIVIDES_SUB_'
0. 'coq/Coq_NArith_BinNat_N_log2_up_pos'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_POS_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lcm_diag' 'hl/thm/int/INT_MIN_ACI_3'
0. 'coq/Coq_ZArith_BinInt_Z_add_simpl_r' 'hl/thm/int/INT_SUB_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_lt_mono_r' 'hl/thm/int/INT_LE_RADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_odd_1'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_min_le_compat_r' 'hl/thm/Library/prime/DIVIDES_MUL_R_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_cancel_r' 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_add_le_sub_r' 'hl/thm/real/REAL_LT_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_le_mono_pos_r'#@#variant 'hl/thm/real/REAL_LT_DIV2_EQ_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_iff' 'hl/thm/realax/HREAL_OF_NUM_EQ_'
0. 'coq/Coq_ZArith_BinInt_Z_shiftl_opp_r' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_pos'#@#variant 'hl/thm/Multivariate/vectors/SQRT_LE_0_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_pow2'#@#variant 'hl/thm/Multivariate/transcendentals/EXP_LOG_'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qcnot_le_lt' 'hl/thm/arith/LTE_CASES_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_lteq' 'hl/thm/arith/LE_LT_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_le_mono_l' 'hl/thm/arith/LE_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_eq'#@#variant 'hl/thm/Multivariate/complexes/REAL_IMP_CNJ_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_le_mono' 'hl/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_clearbit_spec_prime'#@#variant 'hl/thm/Complex/complexnumbers/complex_div_'
0. 'coq/Coq_Reals_Ratan_atan_right_inv' 'hl/thm/Multivariate/transcendentals/ATN_TAN_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_le_max_l' 'hl/thm/int/INT_MAX_MAX_/0'
0. 'coq/Coq_ZArith_BinInt_Z_ldiff_m1_r'#@#variant 'hl/thm/arith/MOD_1_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_cancel_r' 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_lt_mono_nonneg'#@#variant 'hl/thm/Library/analysis/REAL_LE_MUL2V_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_succ_l' 'hl/thm/Multivariate/transcendentals/REAL_INV_RPOW_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_lcm_r' 'hl/thm/real/REAL_MAX_MAX_/1'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_shuffle3' 'hl/thm/Multivariate/complexes/COMPLEX_MUL_AC_2'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_mod_idemp_l' 'hl/thm/arith/MOD_MULT_LMOD_'#@#variant
0. 'coq/Coq_Reals_R_sqrt_sqrt_pos' 'hl/thm/Multivariate/transcendentals/ATN_BOUNDS_/0'#@#variant
0. 'coq/Coq_Reals_RIneq_Rmult_0_r' 'hl/thm/int/INT_MUL_RZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_inj_wd' 'hl/thm/calc_num/ARITH_57'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_shuffle3' 'hl/thm/int/INT_MIN_ACI_2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lxor_lnot_lnot' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_MUL2_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftr_div_pow2'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_RNEG_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_1_l' 'hl/thm/realax/HREAL_MUL_LID_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_rem_opp_l_prime' 'hl/thm/calc_int/REAL_MUL_LNEG_'
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_refl' 'hl/thm/realax/HREAL_LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_eq_0' 'hl/thm/realarith/REAL_ENTIRE_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_square' 'hl/thm/Complex/complexnumbers/CX_INV_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_add_lt_sub_r' 'hl/thm/int/INT_LT_ADD_SUB_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_le_mono_l' 'hl/thm/int/INT_LT_LADD_'
0. 'coq/Coq_NArith_BinNat_N_pow_lt_mono_r_iff'#@#variant 'hl/thm/real/REAL_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_nonpos_nonneg'#@#variant 'hl/thm/int/INT_NEG_LE0_'#@#variant
0. 'coq/Coq_NArith_Nnat_N2Nat_id' 'hl/thm/Library/floor/INT_OF_REAL_OF_INT_'
0. 'coq/Coq_Reals_Rtopology_compact_carac' 'hl/thm/Multivariate/realanalysis/REAL_COMPACT_EQ_BOUNDED_CLOSED_'
0. 'coq/Coq_ZArith_BinInt_Z2Pos_inj_sqrt' 'hl/thm/Complex/complexnumbers/CX_INV_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_div2_double'#@#variant 'hl/thm/Library/transc/LN_EXP_'
0. 'coq/Coq_Reals_RIneq_Rplus_lt_compat_r' 'hl/thm/Library/integer/INT_DIVIDES_MUL_R_'
0. 'coq/Coq_ZArith_BinInt_Z_add_lt_mono_r' 'hl/thm/arith/LE_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_pred_l' 'hl/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_setbit_spec_prime'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_refl' 'hl/thm/Complex/cpoly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lor_m1_r'#@#variant 'hl/thm/arith/MULT_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_odd_1'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_opp_diag_r' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_RINV_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_0_l' 'hl/thm/arith/MOD_0_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lcm_diag' 'hl/thm/int/INT_MIN_ACI_3'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_gcd_divide_iff' 'hl/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pred_div2_up' 'hl/thm/Multivariate/transcendentals/CX_EXP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_nlt_ge' 'hl/thm/realax/real_lt_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_divide_mono_r' 'hl/thm/Library/prime/LESS_MONO_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_id' 'hl/thm/int/INT_MIN_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_divide_mul_r' 'hl/thm/Library/integer/INT_DIVIDES_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_lt_trans' 'hl/thm/int/INT_LET_TRANS_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_nonpos' 'hl/thm/calc_num/ARITH_92'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_pos_cancel_l'#@#variant 'hl/thm/Library/floor/INTEGER_ADD_EQ_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_le_compat_l' 'hl/thm/real/REAL_LT_LADD_IMP_'
0. 'coq/Coq_Reals_Rminmax_R_OT_lt_total' 'hl/thm/Library/analysis/LESS_CASES_IMP_'
0. 'coq/Coq_ZArith_BinInt_Z_sgn_opp' 'hl/thm/Library/transc/SIN_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_pos_cancel_l'#@#variant 'hl/thm/Library/floor/INTEGER_ADD_EQ_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_eq_le_incl' 'hl/thm/int/INT_EQ_IMP_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gt_lt_iff' 'hl/thm/arith/GE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_0_l' 'hl/thm/int/INT_MUL_LID_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_nonpos' 'hl/thm/real/REAL_SGN_INEQS_5'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_add_lt_sub_r' 'hl/thm/int/INT_LT_SUB_RADD_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_move_r' 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_SUB_LADD_'
0. 'coq/Coq_QArith_Qcanon_Qred_involutive' 'hl/thm/real/REAL_SGN_REAL_SGN_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_odd_opp' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_CNJ_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_max_l' 'hl/thm/real/REAL_MAX_MAX_/0'
0. 'coq/Coq_Reals_Rpower_Rpower_plus' 'hl/thm/arith/EXP_ADD_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_pred_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LNEG_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_0' 'hl/thm/Multivariate/complexes/RE_II_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_le_trans' 'hl/thm/arith/LTE_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div2_nonneg' 'hl/thm/real/REAL_SGN_INEQS_3'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_le_mono_r' 'hl/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_pos'#@#variant 'hl/thm/Library/integer/INT_PRIME_ABS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_nonneg' 'hl/thm/calc_num/ARITH_80'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_le_mono' 'hl/thm/realax/NADD_INV_WELLDEF_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_succ_diag_r' 'hl/thm/real/REAL_ABS_LE_'
0. 'coq/Coq_QArith_Qminmax_Q_min_glb_lt_iff' 'hl/thm/real/REAL_LT_MIN_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_pos_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LT_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_pos'#@#variant 'hl/thm/int/INT_SGN_INEQS_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_refl' 'hl/thm/Library/prime/DIVIDES_REFL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_pred_succ' 'hl/thm/Library/transc/ATN_/2'
0. 'coq/Coq_ZArith_Zdiv_Z_mod_same_full' 'hl/thm/arith/SUB_REFL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_le_compat_l' 'hl/thm/realax/NADD_MUL_WELLDEF_LEMMA_'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Topp_mult_r_stable' 'hl/thm/Library/multiplicative/MULTIPLICATIVE_PHI_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lxor_eq_0_iff' 'hl/thm/realarith/REAL_SUB_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_glb_iff' 'hl/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_div2_double'#@#variant 'hl/thm/Multivariate/transcendentals/CCOS_CACS_'#@#variant
0. 'coq/Coq_QArith_Qpower_Qpower_pos_positive'#@#variant 'hl/thm/real/REAL_POW_LT_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_factor_l' 'hl/thm/realax/NADD_LE_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_pos'#@#variant 'hl/thm/int/INT_SGN_INEQS_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_gt_cases' 'hl/thm/realarith/REAL_LET_TOTAL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_total' 'hl/thm/arith/LT_CASES_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_sub_le_add_r' 'hl/thm/int/INT_LE_SUB_RADD_'
0. 'coq/Coq_Reals_Raxioms_Rplus_0_l' 'hl/thm/realax/HREAL_ADD_LID_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_log2_le_mono' 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_nle_gt' 'hl/thm/arith/NOT_LE_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_square' 'hl/thm/Multivariate/complexes/CX_INV_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_lt_mono_l' 'hl/thm/arith/LE_ADD_LCANCEL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_involutive' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_NEG_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_lxor_l' 'hl/thm/int/INT_NEG_LMUL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_even_0' 'hl/thm/Multivariate/complexes/RE_II_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_double_spec' 'hl/thm/int/INT_SUB_LZERO_'
0. 'coq/Coq_NArith_BinNat_N_divide_add_cancel_r' 'hl/thm/Complex/cpoly/POLY_DIVIDES_SUB_'#@#variant
0. 'coq/Coq_Arith_Max_max_lub_l' 'hl/thm/Library/prime/DIVIDES_RMUL2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_succ_diag_r' 'hl/thm/Library/analysis/LESS_SUC_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_succ_diag_r' 'hl/thm/Library/analysis/LESS_EQ_SUC_REFL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_r' 'hl/thm/Library/prime/LESS_MONO_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_ge_cases' 'hl/thm/int/INT_LTE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_lt_mono_nonneg'#@#variant 'hl/thm/Library/analysis/REAL_LE_MUL2V_'#@#variant
0. 'coq/Coq_Reals_RIneq_pos_INR'#@#variant 'hl/thm/Library/floor/INTEGER_CLOSED_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_opp' 'hl/thm/Library/transc/SIN_NEG_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_1_l'#@#variant 'hl/thm/realax/REAL_MUL_LID_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_shuffle3' 'hl/thm/arith/MULT_AC_2'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_lt_mono_l' 'hl/thm/int/INT_LE_LADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pos_pred_succ' 'hl/thm/Complex/complexnumbers/complex_tybij_1'#@#variant
0. 'coq/Coq_NArith_BinNat_N_log2_pos'#@#variant 'hl/thm/Library/transc/LN_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_0_r' 'hl/thm/Library/prime/DIVIDES_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_pos'#@#variant 'hl/thm/Library/floor/INTEGER_ABS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_refl' 'hl/thm/realax/NADD_LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_lt_mono_r' 'hl/thm/int/INT_LE_RADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_le_compat_l' 'hl/thm/realax/NADD_MUL_WELLDEF_LEMMA_'
0. 'coq/Coq_PArith_Pnat_Nat2Pos_inj_pred' 'hl/thm/Complex/complexnumbers/CX_INV_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_inj_wd' 'hl/thm/calc_num/ARITH_57'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_move_r' 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_le_mono' 'hl/thm/Multivariate/transcendentals/ATN_MONO_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_max_l' 'hl/thm/realax/HREAL_LE_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_irrefl' 'hl/thm/arith/LT_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_nlt_ge' 'hl/thm/int/INT_LT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_succ_diag_r' 'hl/thm/int/INT_ABS_LE_'
0. 'coq/Coq_NArith_BinNat_N_mul_divide_mono_r' 'hl/thm/Library/analysis/LESS_MONO_ADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_assoc' 'hl/thm/realax/TREAL_MUL_ASSOC_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_div2_double'#@#variant 'hl/thm/Library/transc/ATN_/2'
0. 'coq/Coq_ZArith_BinInt_Z_divide_mul_r' 'hl/thm/Library/integer/INT_DIVIDES_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_ge_cases' 'hl/thm/arith/LET_CASES_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_inj_wd' 'hl/thm/Multivariate/transcendentals/REAL_EXP_INJ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_lxor_l' 'hl/thm/Multivariate/transcendentals/REAL_ABS_RPOW_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div2_neg' 'hl/thm/int/INT_SGN_INEQS_6'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_clearbit_spec_prime'#@#variant 'hl/thm/int/INT_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_lt_lin'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_LE_X_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_iff' 'hl/thm/Multivariate/vectors/LIFT_EQ_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_1_r'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RZERO_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lnot_0_l' 'hl/thm/int/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_pos'#@#variant 'hl/thm/Library/pocklington/EVEN_PHI_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_pred' 'hl/thm/Complex/complex_transc/CEXP_CLOG_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_divide_opp_r' 'hl/thm/Library/integer/INT_DIVIDES_RNEG_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_le_mono_r' 'hl/thm/int/INT_LT_RADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_odd_sub' 'hl/thm/real/REAL_OF_NUM_SUB_'
0. 'coq/Coq_ZArith_BinInt_Z2Pos_inj_pred'#@#variant 'hl/thm/Multivariate/transcendentals/CX_LOG_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_eq_iff'#@#variant 'hl/thm/Library/floor/REAL_FLOOR_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_pos'#@#variant 'hl/thm/real/REAL_LE_INV_EQ_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_add_le_mono_r' 'hl/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_Reals_RIneq_opp_IZR' 'hl/thm/int/int_neg_th_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_odd_0' 'hl/thm/Multivariate/complexes/RE_II_'#@#variant
0. 'coq/Coq_Reals_Rfunctions_pow_1'#@#variant 'hl/thm/real/REAL_POW_1_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sub_opp_r' 'hl/thm/Complex/complexnumbers/complex_sub_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_lt_mono_r' 'hl/thm/arith/LE_ADD_RCANCEL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_lor' 'hl/thm/Library/transc/REAL_EXP_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_le_compat_r' 'hl/thm/Library/integer/INT_DIVIDES_MUL_R_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_glb' 'hl/thm/Library/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_lor' 'hl/thm/Library/transc/REAL_EXP_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_lt_lin'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_LE_X_'#@#variant
0. 'coq/Coq_Reals_RList_RList_P1' 'hl/thm/int/INT_POW_LE_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_refl' 'hl/thm/realax/TREAL_EQ_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_le_mono' 'hl/thm/Multivariate/transcendentals/ATN_MONO_LT_'
0. 'coq/Coq_QArith_Qcanon_Qcmult_1_l'#@#variant 'hl/thm/arith/ADD_CLAUSES_0'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lor_0_l' 'hl/thm/realax/REAL_ADD_LID_'#@#variant
0. 'coq/Coq_ZArith_Zpower_two_power_nat_S'#@#variant 'hl/thm/Multivariate/complexes/CX_INV_'#@#variant
0. 'coq/Coq_QArith_Qreduction_Qred_correct' 'hl/thm/Library/pocklington/PHI_LIMIT_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_cancel_l' 'hl/thm/calc_int/REAL_EQ_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_le_lin'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_LT_X_'#@#variant
0. 'coq/Coq_Reals_Rprod_le_n_2n'#@#variant 'hl/thm/arith/LT_POW2_REFL_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div_0_l' 'hl/thm/arith/DIV_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_odd_0' 'hl/thm/Multivariate/complexes/IM_II_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mod_1_r'#@#variant 'hl/thm/arith/EXP_0'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_eq_1'#@#variant 'hl/thm/arith/ADD_EQ_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pred_div2_up' 'hl/thm/Multivariate/transcendentals/CX_ATN_'#@#variant
0. 'coq/Coq_QArith_Qreduction_Qred_comp' 'hl/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_succ_diag_r' 'hl/thm/Library/analysis/LESS_SUC_REFL_'
0. 'coq/Coq_Reals_RIneq_Ropp_div' 'hl/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_divide_mono_r' 'hl/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_nle' 'hl/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_succ_diag_r' 'hl/thm/Library/analysis/LESS_EQ_SUC_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_eq_iff'#@#variant 'hl/thm/Library/floor/REAL_FLOOR_EQ_'
0. 'coq/Coq_QArith_QOrderedType_QOrder_le_eq' 'hl/thm/realarith/REAL_LTE_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lxor_0_l' 'hl/thm/int/INT_ADD_LID_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_le_compat_l' 'hl/thm/Library/prime/DIVIDES_MUL_L_'
0. 'coq/Coq_PArith_Pnat_Pmult_nat_l_plus_morphism'#@#variant 'hl/thm/Library/poly/POLY_ADD_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_nle_gt' 'hl/thm/int/INT_LT_'
0. 'coq/Coq_Reals_Rtrigo_calc_sin_lb_ge_0'#@#variant 'hl/thm/Multivariate/transcendentals/SIN_POS_PI2_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_neq' 'hl/thm/real/REAL_LT_IMP_NE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_lcm_r' 'hl/thm/int/INT_MAX_MAX_/1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_succ_diag_r' 'hl/thm/Library/analysis/LESS_SUC_REFL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_pos_cancel_r'#@#variant 'hl/thm/Library/floor/INTEGER_ADD_EQ_1'
0. 'coq/Coq_Init_Peano_le_pred' 'hl/thm/Library/transc/ATN_MONO_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_greatest' 'hl/thm/Library/prime/DIVIDES_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_refl' 'hl/thm/Library/integer/INT_DIVIDES_REFL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_2' 'hl/thm/Multivariate/transcendentals/ASN_0_'
0. 'coq/Coq_PArith_BinPos_Pos_sub_diag' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_REFL_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_log2' 'hl/thm/Multivariate/complexes/IM_CNJ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_0_l' 'hl/thm/int/INT_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_glb_lt_iff' 'hl/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_le_mono' 'hl/thm/Library/transc/ATN_MONO_LT_'
0. 'coq/Coq_QArith_Qreduction_Qred_opp' 'hl/thm/calc_num/ARITH_6'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_0_l' 'hl/thm/int/INT_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_min_r' 'hl/thm/int/INT_MIN_MIN_/1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_succ' 'hl/thm/Library/transc/ATN_/2'
0. 'coq/Coq_ZArith_Zsqrt_compat_Zsqrt_plain_is_pos'#@#variant 'hl/thm/Multivariate/transcendentals/REAL_EXP_'#@#variant
0. 'coq/Coq_Reals_Raxioms_Rmult_1_l' 'hl/thm/realax/HREAL_ADD_LID_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftl_opp_r' 'hl/thm/Complex/complexnumbers/complex_div_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_glb_iff' 'hl/thm/real/REAL_LT_MIN_'
0. 'coq/Coq_Reals_Rbasic_fun_Rle_abs' 'hl/thm/arith/LT_POW2_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_lt_iff' 'hl/thm/real/REAL_LE_MAX_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_le_incl' 'hl/thm/realax/NADD_EQ_IMP_LE_'
0. 'coq/Coq_ZArith_BinInt_Z_divide_lcm_l' 'hl/thm/int/INT_MAX_MAX_/0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_null'#@#variant 'hl/thm/real/REAL_SGN_EQ_2'#@#variant
0. 'coq/Coq_NArith_BinNat_N_divide_sub_r' 'hl/thm/Complex/cpoly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftr_div_pow2'#@#variant 'hl/thm/int/INT_SUB_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_lt_mono_pos_r'#@#variant 'hl/thm/real/REAL_LE_RMUL_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_divide_r' 'hl/thm/int/INT_MIN_MIN_/1'
0. 'coq/Coq_Reals_Rbasic_fun_Rmin_left' 'hl/thm/arith/MOD_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sub_add_distr' 'hl/thm/arith/EXP_MULT_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_xO'#@#variant 'hl/thm/Complex/complexnumbers/CX_NEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_neq_0_succ' 'hl/thm/Multivariate/transcendentals/REAL_EXP_NZ_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_factor_l' 'hl/thm/realax/NADD_LE_ADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_pos'#@#variant 'hl/thm/Library/pocklington/PHI_LOWERBOUND_1_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_le_compat_l' 'hl/thm/real/REAL_LT_LADD_IMP_'
0. 'coq/Coq_Init_Peano_le_0_n' 'hl/thm/realax/NADD_LE_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_even_1'#@#variant 'hl/thm/nums/ZERO_DEF_'
0. 'coq/Coq_NArith_BinNat_N_clearbit_spec_prime'#@#variant 'hl/thm/real/REAL_SUB_RNEG_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_sub_le_add_r' 'hl/thm/int/INT_LT_ADD_SUB_'
0. 'coq/Coq_Arith_Gt_gt_asym' 'hl/thm/int/INT_LT_ANTISYM_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_lt' 'hl/thm/realax/TREAL_OF_NUM_LE_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_min_le_compat_r' 'hl/thm/Library/prime/LESS_MONO_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_succ_not_1' 'hl/thm/arith/FACT_NZ_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_le_compat_r' 'hl/thm/Library/analysis/LESS_MONO_ADD_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_sgn' 'hl/thm/int/int_sgn_th_'
0. 'coq/Coq_NArith_BinNat_N_log2_lor' 'hl/thm/Library/transc/REAL_EXP_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_pos_cancel_l'#@#variant 'hl/thm/real/REAL_LT_MUL_EQ_0'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sub_min_distr_l' 'hl/thm/arith/EXP_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_le_pred' 'hl/thm/Library/analysis/LESS_EQ_IMP_LESS_SUC_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_eq_cases' 'hl/thm/arith/LE_LT_'
0. 'coq/Coq_ZArith_BinInt_Z_divide_refl' 'hl/thm/realax/REAL_LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_1_l'#@#variant 'hl/thm/int/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lnot_land' 'hl/thm/Complex/complex_transc/CEXP_ADD_'
0. 'coq/Coq_Reals_R_sqr_Rsqr_incr_0'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_MONO_LT_REV_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Zle_Qle' 'hl/thm/int/INT_OF_NUM_GT_'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_le_mono' 'hl/thm/realax/NADD_INV_WELLDEF_'
0. 'coq/Coq_PArith_BinPos_Pos_gt_lt_iff' 'hl/thm/arith/GE_'
0. 'coq/Coq_Arith_Gt_gt_n_S' 'hl/thm/Library/floor/FLOOR_MONO_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_pos'#@#variant 'hl/thm/Library/pocklington/PHI_LOWERBOUND_2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_glb' 'hl/thm/Complex/cpoly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_of_Qc' 'hl/thm/Multivariate/vectors/LIFT_DROP_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_lt_mono'#@#variant 'hl/thm/real/REAL_LE_MUL2_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_opp_max_distr' 'hl/thm/Library/transc/REAL_EXP_ADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_1_l' 'hl/thm/arith/ADD_CLAUSES_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_nle_gt' 'hl/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_ZArith_BinInt_Z_add_cancel_r' 'hl/thm/realax/HREAL_EQ_ADD_RCANCEL_'
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_Zabs' 'hl/thm/Multivariate/complexes/IM_CNJ_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_pos'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_POS_'#@#variant
0. 'coq/Coq_Sets_Uniset_leb_refl' 'hl/thm/Multivariate/misc/GE_REFL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_total' 'hl/thm/Library/analysis/LESS_LESS_CASES_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_le_trans' 'hl/thm/realarith/REAL_LTE_TRANS_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_abs_r' 'hl/thm/Library/integer/INT_DIVIDES_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_le_mono_l_iff' 'hl/thm/Library/prime/DIVIDES_RMUL2_EQ_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_divide_refl' 'hl/thm/int/INT_LE_REFL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_id' 'hl/thm/real/REAL_MIN_ACI_3'
0. 'coq/Coq_Bool_Bool_xorb_false_l' 'hl/thm/arith/ADD_CLAUSES_0'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_le_mono' 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_lt_trans' 'hl/thm/arith/LET_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_pos_nonneg'#@#variant 'hl/thm/int/INT_LTE_ADD_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rge_refl' 'hl/thm/realax/NADD_EQ_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_eq_cases' 'hl/thm/realarith/REAL_LE_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_lt_mono_r' 'hl/thm/int/INT_LE_RADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_pow2'#@#variant 'hl/thm/Library/transc/EXP_LN_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_pos'#@#variant 'hl/thm/Library/floor/INTEGER_NEG_'
0. 'coq/Coq_ZArith_BinInt_Z_opp_neg_pos'#@#variant 'hl/thm/int/INT_NEG_LT0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_nonpos_nonneg'#@#variant 'hl/thm/real/REAL_NEG_LT0_'#@#variant
0. 'coq/Coq_Arith_Plus_le_plus_l' 'hl/thm/real/REAL_MAX_MAX_/0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_le_iff' 'hl/thm/real/REAL_MIN_LT_'
0. 'coq/__constr_Coq_Arith_Even_even_1_1' 'hl/thm/Multivariate/transcendentals/LOG_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_lt_le_mono' 'hl/thm/int/INT_LTE_ADD2_'
0. 'coq/Coq_ZArith_Zpow_facts_Zpower_pos_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_POW_ONE_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_sub_le_add_r' 'hl/thm/int/INT_LT_SUB_RADD_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_lt_mono_pos_l'#@#variant 'hl/thm/Library/analysis/REAL_LE_LMUL_LOCAL_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_irrefl' 'hl/thm/arith/LT_REFL_'
0. 'coq/Coq_Reals_RIneq_Ropp_minus_distr_prime' 'hl/thm/Multivariate/complexes/COMPLEX_INV_DIV_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_lt_mono' 'hl/thm/calc_int/REAL_LE_NEG2_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_glb' 'hl/thm/Library/integer/INT_DIVIDES_SUB_'
0. 'coq/Coq_ZArith_Zeven_Zquot2_opp' 'hl/thm/Multivariate/transcendentals/ATN_ABS_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_greatest' 'hl/thm/Library/integer/INT_DIVIDES_ADD_'
0. 'coq/Coq_ZArith_Znat_Zabs2N_inj_opp' 'hl/thm/Multivariate/complexes/RE_CNJ_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_divide_mul_l' 'hl/thm/Library/prime/DIVIDES_RMUL_'
0. 'coq/Coq_QArith_QArith_base_Qinv_le_0_compat'#@#variant 'hl/thm/Library/floor/RATIONAL_ABS_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_eq_0' 'hl/thm/arith/ADD_EQ_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_shuffle3' 'hl/thm/calc_int/REAL_ADD_AC_2'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_greatest' 'hl/thm/Complex/cpoly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_ZArith_Zpower_two_power_pos_nat' 'hl/thm/int/int_of_num_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_N_of_Z'#@#variant 'hl/thm/Library/floor/REAL_OF_INT_OF_REAL_'
0. 'coq/Coq_Reals_R_sqrt_sqrt_lt_1_alt'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_MONO_LE_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_gt_cases' 'hl/thm/int/INT_LTE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_le_mono_l' 'hl/thm/realax/NADD_LE_LADD_'
0. 'coq/Coq_PArith_BinPos_Pos_add_le_mono_l' 'hl/thm/realax/NADD_LE_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_double_spec'#@#variant 'hl/thm/Library/analysis/REAL_INV_1OVER_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_refl' 'hl/thm/Complex/cpoly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_max_0_l' 'hl/thm/realax/HREAL_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_land_lnot_diag' 'hl/thm/calc_int/REAL_ADD_RINV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mod_1_r'#@#variant 'hl/thm/arith/EXP_0'#@#variant
0. 'coq/Coq_QArith_Qround_Qfloor_Z' 'hl/thm/Library/floor/INT_OF_REAL_OF_INT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_divide_l' 'hl/thm/Library/analysis/SUB_LESS_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_move_0_l' 'hl/thm/real/REAL_RNEG_UNIQ_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_min_l' 'hl/thm/real/REAL_MIN_MIN_/0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_le_mono' 'hl/thm/Library/transc/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_eq_le_incl' 'hl/thm/real/REAL_EQ_IMP_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lcm_eq_0' 'hl/thm/real/REAL_DIV_EQ_0_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_le' 'hl/thm/realax/TREAL_OF_NUM_LE_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_le_pred' 'hl/thm/arith/LT_SUC_LE_'
0. 'coq/Coq_NArith_BinNat_N_sqrt_lt_lin'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_nlt_ge' 'hl/thm/realax/real_lt_'
0. 'coq/Coq_Reals_Rtrigo1_sin_neg' 'hl/thm/Multivariate/complexes/CNJ_INV_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_succ_l' 'hl/thm/arith/LE_SUC_LT_'
0. 'coq/Coq_NArith_BinNat_N_divide_refl' 'hl/thm/Multivariate/misc/GE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_lt_trans' 'hl/thm/int/INT_LET_TRANS_'
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_pos'#@#variant 'hl/thm/real/REAL_SGN_INEQS_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lor_0_l' 'hl/thm/int/INT_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_1_l'#@#variant 'hl/thm/Library/prime/DIVIDES_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_lcm_l' 'hl/thm/realax/NADD_LE_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_le_mono_l_iff' 'hl/thm/Library/prime/DIVIDES_RMUL2_EQ_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_land' 'hl/thm/Multivariate/transcendentals/REAL_EXP_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_lub_lt_iff' 'hl/thm/int/INT_MAX_LE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_null_iff' 'hl/thm/Library/pocklington/PHI_EQ_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_divide_mono_l' 'hl/thm/int/INT_LE_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_mod_idemp_r' 'hl/thm/arith/MOD_MULT_RMOD_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_log2_double'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_INV_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_0_sub'#@#variant 'hl/thm/int/INT_SUB_LE_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_pos'#@#variant 'hl/thm/Multivariate/complexes/REAL_INV_EQ_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_le_mono' 'hl/thm/Library/transc/ATN_MONO_LT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_0_l' 'hl/thm/realax/HREAL_ADD_LID_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_succ_pred_double' 'hl/thm/nums/BIT1_DEF_'
0. 'coq/Coq_Reals_Rminmax_R_min_glb_lt' 'hl/thm/Library/integer/INT_DIVIDES_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div_mul' 'hl/thm/Complex/complexnumbers/COMPLEX_DIV_RMUL_'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_T_OMEGA13_stable' 'hl/thm/Library/multiplicative/MULTIPLICATIVE_TAU_'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_le_mono' 'hl/thm/arith/FACT_MONO_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_ge_le_iff' 'hl/thm/int/INT_GE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_lxor_l' 'hl/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_max_r' 'hl/thm/real/REAL_MAX_MAX_/1'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_xO_r' 'hl/thm/int/INT_NEG_RMUL_'
0. 'coq/Coq_ZArith_Zlogarithm_log_sup_correct1'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_ngt' 'hl/thm/arith/NOT_LT_'
0. 'coq/Coq_Bool_Bool_orb_true_r' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RZERO_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_le_incl' 'hl/thm/realax/NADD_EQ_IMP_LE_'
0. 'coq/Coq_Reals_Rbasic_fun_Rmax_Rlt' 'hl/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_le_trans' 'hl/thm/arith/LTE_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lcm_0_r' 'hl/thm/realax/HREAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_opp_max_distr' 'hl/thm/Library/transc/REAL_EXP_SUB_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_divide_cancel_r' 'hl/thm/Library/prime/DIVIDES_EXP2_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_neq_succ_0' 'hl/thm/arith/FACT_NZ_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_2' 'hl/thm/Multivariate/transcendentals/ASN_0_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_nlt_ge' 'hl/thm/realarith/REAL_NOT_LT_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_glb' 'hl/thm/Library/integer/INT_DIVIDES_ADD_'
0. 'coq/Coq_NArith_BinNat_N_lt_ge_cases' 'hl/thm/arith/LET_CASES_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_refl' 'hl/thm/Library/prime/DIVIDES_REFL_'
0. 'coq/Coq_Reals_Rprod_INR_fact_lt_0'#@#variant 'hl/thm/Multivariate/transcendentals/RE_CACS_BOUNDS_/0'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_succ_not_1' 'hl/thm/arith/FACT_NZ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lnot_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_LZERO_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_le_lin'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_LE_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lxor_nilpotent' 'hl/thm/int/INT_SUB_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_pos'#@#variant 'hl/thm/Library/floor/REAL_FRAC_ZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_le_mono' 'hl/thm/realax/NADD_INV_WELLDEF_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_odd_0' 'hl/thm/nums/ZERO_DEF_'
0. 'coq/Coq_QArith_QOrderedType_QOrder_le_refl' 'hl/thm/arith/LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_gt_cases' 'hl/thm/realarith/REAL_LET_TOTAL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_shuffle3' 'hl/thm/real/REAL_MUL_AC_2'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_log2' 'hl/thm/Complex/complex_transc/CX_CCOS_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_refl' 'hl/thm/int/INT_LE_REFL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_even_1'#@#variant 'hl/thm/Multivariate/complexes/RE_II_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_lt_mono_l' 'hl/thm/int/INT_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_pos_r'#@#variant 'hl/thm/real/REAL_LT_RMUL_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_le_iff' 'hl/thm/int/INT_LT_MAX_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_add_le' 'hl/thm/real/REAL_ABS_TRIANGLE_'
0. 'coq/Coq_QArith_Qcanon_Qcle_lt_trans' 'hl/thm/realarith/REAL_LET_TRANS_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_neq' 'hl/thm/realarith/REAL_LT_LE_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lnot_ones' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LINV_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_glb_iff' 'hl/thm/int/INT_LT_MIN_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_inj_wd' 'hl/thm/Multivariate/complexes/CNJ_INJ_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zlt_not_le' 'hl/thm/arith/LTE_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_glb_lt' 'hl/thm/Complex/cpoly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_le_compat_l' 'hl/thm/realax/NADD_MUL_WELLDEF_LEMMA_'
0. 'coq/Coq_NArith_BinNat_N_odd_2'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div2_nonneg'#@#variant 'hl/thm/Library/floor/FLOOR_POS_LE_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div2_succ_double' 'hl/thm/Multivariate/transcendentals/CCOS_CACS_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sub_move_r' 'hl/thm/int/INT_EQ_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_nonneg'#@#variant 'hl/thm/int/INT_SGN_INEQS_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_refl' 'hl/thm/realax/NADD_EQ_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_mod' 'hl/thm/arith/MOD_MULT_MOD2_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qinv_mult_distr' 'hl/thm/real/REAL_ABS_TRIANGLE_'
0. 'coq/Coq_NArith_BinNat_N_mul_shuffle3' 'hl/thm/arith/MULT_AC_2'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_phi' 'hl/thm/Library/floor/INT_OF_REAL_OF_INT_'
0. 'coq/Coq_PArith_BinPos_Pos_gcd_divide_r' 'hl/thm/real/REAL_MIN_MIN_/1'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_digits/0'#@#variant 'hl/thm/Multivariate/complexes/REAL_CX_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_nonneg'#@#variant 'hl/thm/real/REAL_NEG_GT0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_odd_0' 'hl/thm/nums/ZERO_DEF_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_even_1'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_pos_r'#@#variant 'hl/thm/real/REAL_LE_RMUL_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_le_mono_r' 'hl/thm/arith/LT_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_null_iff' 'hl/thm/real/REAL_ABS_ZERO_'#@#variant
0. 'coq/Coq_Arith_Minus_minus_plus' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_SUB_'
0. 'coq/Coq_NArith_Nnat_N2Nat_id' 'hl/thm/int/NUM_OF_INT_OF_NUM_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pred_div2_up' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_INV_'
0. 'coq/Coq_Arith_Gt_gt_Sn_O' 'hl/thm/calc_num/ARITH_82'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_succ_diag_r' 'hl/thm/real/REAL_ABS_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_opp_diag_l' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LINV_'#@#variant
0. 'coq/Coq_ZArith_Zpow_facts_Zpower_pos_1_r' 'hl/thm/int/INT_POW_1_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_nlt_ge' 'hl/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_nlt_ge' 'hl/thm/int/INT_LT_'
0. 'coq/Coq_ZArith_BinInt_Z_gcd_divide_l' 'hl/thm/int/INT_MIN_MIN_/0'
0. 'coq/Coq_Arith_PeanoNat_Nat_lxor_lnot_lnot' 'hl/thm/arith/SUB_ADD_RCANCEL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_cancel_l' 'hl/thm/int/INT_LE_LADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_le_incl' 'hl/thm/arith/LT_IMP_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_greatest' 'hl/thm/Library/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_ZArith_Zdiv_Z_mod_same_full' 'hl/thm/int/INT_SUB_REFL_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_succ_l' 'hl/thm/arith/ADD_CLAUSES_2'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_pos'#@#variant 'hl/thm/Library/pocklington/PHI_LOWERBOUND_2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_involutive' 'hl/thm/Complex/complexnumbers/CNJ_CNJ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_le_compat_r' 'hl/thm/Library/analysis/LESS_MONO_ADD_'
0. 'coq/Coq_NArith_BinNat_N_shiftl_mul_pow2'#@#variant 'hl/thm/realax/real_div_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sub_le_mono_r' 'hl/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lor_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant
0. 'coq/Coq_Reals_R_Ifp_base_fp/1' 'hl/thm/Library/transc/ATN_BOUNDS_/1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lcm_0_r' 'hl/thm/Library/prime/INDEX_0_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_max_le_compat_r' 'hl/thm/Library/prime/LESS_MONO_ADD_'
0. 'coq/Coq_setoid_ring_BinList_jump_tl' 'hl/thm/Multivariate/vectors/VECTOR_MUL_RNEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_le_lin'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_LE_X_'#@#variant
0. 'coq/Coq_Reals_R_Ifp_base_fp/0' 'hl/thm/Library/transc/ATN_BOUNDS_/1'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_max_id' 'hl/thm/int/INT_MIN_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lor_eq_0_iff' 'hl/thm/arith/MULT_EQ_1_'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tplus_assoc_l_stable' 'hl/thm/Library/multiplicative/MULTIPLICATIVE_PHI_'
0. 'coq/Coq_Reals_Rminmax_R_max_lub_lt_iff' 'hl/thm/int/INT_MAX_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_pos'#@#variant 'hl/thm/Multivariate/transcendentals/REAL_EXP_LT_1_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_shiftl_mul_pow2'#@#variant 'hl/thm/realax/real_sub_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_divide_refl' 'hl/thm/realax/TREAL_LE_REFL_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_Zabs' 'hl/thm/Complex/complex_transc/CX_CEXP_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_lt_iff' 'hl/thm/int/INT_LT_MAX_'
0. 'coq/Coq_PArith_BinPos_Pos_min_lt_iff' 'hl/thm/int/INT_MIN_LE_'
0. 'coq/Coq_NArith_BinNat_N_log2_up_le_mono' 'hl/thm/Library/floor/FLOOR_MONO_'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_pred' 'hl/thm/int/int_neg_th_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_ldiff_ldiff_l' 'hl/thm/Library/prime/EXP_EXP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_factor_r' 'hl/thm/real/REAL_MAX_MAX_/1'
0. 'coq/Coq_NArith_Ndist_ni_le_refl' 'hl/thm/realax/NADD_LE_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_lor_nonneg'#@#variant 'hl/thm/arith/ODD_MULT_'
0. 'coq/Coq_QArith_QArith_base_Qle_refl' 'hl/thm/realax/TREAL_LE_REFL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sub_succ_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LNEG_'
0. 'coq/Coq_ZArith_Zorder_Zmult_lt_compat_l'#@#variant 'hl/thm/real/REAL_LE_LMUL_'#@#variant
0. 'coq/Coq_Reals_Ratan_Ropp_div' 'hl/thm/arith/ADD_CLAUSES_2'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_odd_1'#@#variant 'hl/thm/Multivariate/complexes/IM_II_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_le_lin'#@#variant 'hl/thm/Library/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftr_opp_r' 'hl/thm/Multivariate/complexes/complex_div_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_quot_le_mono'#@#variant 'hl/thm/real/REAL_LT_RMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_sub' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sub_le_mono_r' 'hl/thm/Library/integer/INT_DIVIDES_MUL_R_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_greatest' 'hl/thm/Library/prime/DIVIDES_ADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_clearbit_spec_prime'#@#variant 'hl/thm/real/REAL_SUB_RNEG_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_nlt_0_r' 'hl/thm/Library/analysis/NOT_LESS_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mod_same' 'hl/thm/arith/MOD_REFL_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_factor_l' 'hl/thm/realax/HREAL_LE_ADD_'
0. 'coq/Coq_Arith_Le_le_n_S' 'hl/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_succ_not_1' 'hl/thm/arith/FACT_NZ_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_le_incl' 'hl/thm/int/INT_LT_IMP_LE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_lt_mono_r' 'hl/thm/arith/LT_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div2_nonneg'#@#variant 'hl/thm/Library/integer/INT_PRIME_NEG_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div2_succ_double' 'hl/thm/arith/PRE_1'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sub_le_mono_r' 'hl/thm/Library/prime/DIVIDES_EXP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mod_1_r'#@#variant 'hl/thm/arith/MOD_1_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sub_0_l' 'hl/thm/int/INT_NEG_MINUS1_'#@#variant
0. 'coq/Coq_QArith_Qabs_Qabs_Qmult' 'hl/thm/real/REAL_ABS_TRIANGLE_'
0. 'coq/Coq_QArith_Qminmax_Q_max_le_compat_l' 'hl/thm/realax/NADD_MUL_WELLDEF_LEMMA_'
0. 'coq/Coq_Arith_PeanoNat_Nat_nle_gt' 'hl/thm/int/INT_LT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_opp_r' 'hl/thm/Complex/complexnumbers/complex_div_'
0. 'coq/Coq_Reals_PartSum_cauchy_abs' 'hl/thm/Library/analysis/SER_ACONV_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_1_l' 'hl/thm/int/INT_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_divide_mono_r' 'hl/thm/Library/analysis/LESS_MONO_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_irrefl' 'hl/thm/int/INT_LT_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_clearbit_spec_prime'#@#variant 'hl/thm/Complex/complexnumbers/complex_div_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_max' 'hl/thm/real/REAL_SGN_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_even_2'#@#variant 'hl/thm/nums/ZERO_DEF_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_le_lin'#@#variant 'hl/thm/Library/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_glb_lt' 'hl/thm/Library/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_succ_m1'#@#variant 'hl/thm/Library/transc/COS_2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_2_r'#@#variant 'hl/thm/arith/EXP_2_'#@#variant
0. 'coq/Coq_Reals_R_sqrt_sqrt_le_1_alt' 'hl/thm/Multivariate/transcendentals/ATN_MONO_LT_'
0. 'coq/Coq_QArith_Qcanon_Qclt_not_le' 'hl/thm/int/INT_LET_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_le_mono_l_iff' 'hl/thm/Library/integer/INT_DIVIDES_RMUL2_EQ_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_eq_le_incl' 'hl/thm/arith/EQ_IMP_LE_'
0. 'coq/Coq_ZArith_Zquot_Z_rem_same' 'hl/thm/arith/SUB_REFL_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_cancel_r' 'hl/thm/int/INT_EQ_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_opp' 'hl/thm/Multivariate/transcendentals/CNJ_CSIN_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_lt_trans' 'hl/thm/arith/LET_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gt_lt_iff' 'hl/thm/int/INT_GT_'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_T_OMEGA11_stable' 'hl/thm/Library/multiplicative/MULTIPLICATIVE_SIGMA_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_glb_lt' 'hl/thm/Complex/cpoly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rge_refl' 'hl/thm/Library/integer/INT_DIVIDES_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_sgn' 'hl/thm/Library/floor/FLOOR_FRAC_/3'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_add_r' 'hl/thm/real/REAL_MAX_MAX_/0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_even_1'#@#variant 'hl/thm/nums/ZERO_DEF_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_id' 'hl/thm/Multivariate/complexes/RE_CX_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lcm_1_l'#@#variant 'hl/thm/arith/MULT_CLAUSES_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_pred_r' 'hl/thm/Multivariate/transcendentals/RPOW_NEG_'
0. 'coq/Coq_QArith_QArith_base_Qmult_plus_distr_r' 'hl/thm/realax/TREAL_ADD_LDISTRIB_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_min_distr' 'hl/thm/Complex/complex_transc/CEXP_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_sub_diag' 'hl/thm/arith/SUB_REFL_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_sin_lb_gt_0'#@#variant 'hl/thm/Multivariate/transcendentals/COS_POS_PI2_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_nge' 'hl/thm/arith/NOT_LT_'
0. 'coq/Coq_Reals_Rsqrt_def_Rsqrt_positivity'#@#variant 'hl/thm/real/REAL_LE_POW2_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_Ropp' 'hl/thm/real/REAL_SGN_INV_'
0. 'coq/Coq_NArith_BinNat_N_pow_mul_r' 'hl/thm/Library/prime/EXP_EXP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lcm_0_r' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RZERO_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_add_lt_sub_r' 'hl/thm/real/REAL_LE_SUB_LADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_divide_mono_l' 'hl/thm/realax/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_le_mono' 'hl/thm/Library/floor/FLOOR_MONO_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_clearbit_spec_prime'#@#variant 'hl/thm/int/INT_SUB_RNEG_'
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_1_l' 'hl/thm/arith/SUB_0_/0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_nle_gt' 'hl/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_le_mono' 'hl/thm/Library/transc/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Arith_PeanoNat_Nat_setbit_spec_prime'#@#variant 'hl/thm/Multivariate/complexes/complex_div_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_diag' 'hl/thm/Library/analysis/REAL_DOUBLE_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_pos'#@#variant 'hl/thm/calc_num/ARITH_44'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_le_trans' 'hl/thm/realarith/REAL_LTE_TRANS_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_1_l' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_MINUS1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_nonneg' 'hl/thm/real/REAL_SGN_INEQS_3'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_pos_r'#@#variant 'hl/thm/real/REAL_LT_RMUL_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_eq_cases' 'hl/thm/realarith/REAL_LE_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_lt_mono_nonneg'#@#variant 'hl/thm/real/REAL_LE_MUL2_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_nlt' 'hl/thm/realax/real_lt_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_cancel_r' 'hl/thm/realax/HREAL_EQ_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_le_mono_r' 'hl/thm/arith/LT_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_eq_opp_r' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_EQ_'
0. 'coq/Coq_Bool_Bool_negb_xorb_r' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RNEG_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_succ_le' 'hl/thm/Library/floor/FLOOR_DOUBLE_/0'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_odd_opp' 'hl/thm/Multivariate/complexes/RE_CNJ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_divide_mono_r' 'hl/thm/realax/NADD_LE_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_le_compat_l' 'hl/thm/int/INT_LE_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pred_le_mono' 'hl/thm/Multivariate/transcendentals/ATN_MONO_LT_'
0. 'coq/Coq_ZArith_BinInt_Z_gcd_greatest' 'hl/thm/Library/prime/DIVIDES_SUB_'
0. 'coq/Coq_Bool_Bool_negb_xorb_r' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_RMUL_'
0. 'coq/Coq_PArith_BinPos_Pos_le_1_l' 'hl/thm/Library/integer/INT_DIVIDES_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_le_mono_l' 'hl/thm/real/REAL_LE_LADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_succ_diag_r' 'hl/thm/Library/analysis/LESS_EQ_SUC_REFL_'
0. 'coq/Coq_NArith_BinNat_N_sqrt_le_mono' 'hl/thm/Library/floor/FLOOR_MONO_'
0. 'coq/Coq_Reals_R_sqrt_sqrt_lt_R0'#@#variant 'hl/thm/Multivariate/transcendentals/REAL_COS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_succ_l' 'hl/thm/calc_int/REAL_MUL_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_le_compat_l' 'hl/thm/Library/integer/INT_DIVIDES_MUL_L_'
0. 'coq/Coq_ZArith_Znumtheory_prime_mult' 'hl/thm/Library/prime/PRIME_DIVPROD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_le_mono_r' 'hl/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_add_lt_sub_r' 'hl/thm/real/REAL_LE_SUB_LADD_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_1_r'#@#variant 'hl/thm/arith/ADD1_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rlt_le' 'hl/thm/arith/LT_IMP_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_lt' 'hl/thm/real/REAL_ABS_BOUNDS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_divide_l' 'hl/thm/Library/analysis/SUB_LESS_EQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_even_1'#@#variant 'hl/thm/Multivariate/complexes/RE_II_'#@#variant
0. 'coq/Coq_Bool_Bool_negb_involutive_reverse' 'hl/thm/int/INT_NEGNEG_'
0. 'coq/Coq_NArith_BinNat_N_le_sub_l' 'hl/thm/real/REAL_MIN_MIN_/0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_sub' 'hl/thm/int/INT_SUB_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_refl' 'hl/thm/Library/integer/INT_DIVIDES_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_gt_cases' 'hl/thm/int/INT_LTE_TOTAL_'
0. 'coq/Coq_Arith_Plus_plus_lt_compat_r' 'hl/thm/Library/integer/INT_DIVIDES_MUL_R_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_succ' 'hl/thm/calc_num/ARITH_5'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_eq_opp_l' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_EQ_'
0. 'coq/Coq_Arith_PeanoNat_Nat_nle_gt' 'hl/thm/int/INT_NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_lor'#@#variant 'hl/thm/Library/transc/LN_MUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_factor_r' 'hl/thm/arith/LE_ADDR_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_lcm_l' 'hl/thm/realax/NADD_LE_ADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_le_compat_l' 'hl/thm/realax/NADD_MUL_WELLDEF_LEMMA_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_shuffle3' 'hl/thm/int/INT_ADD_AC_2'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_div2' 'hl/thm/Complex/complex_transc/CX_CCOS_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_l' 'hl/thm/arith/MOD_LT_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_le_mono_pos_l'#@#variant 'hl/thm/int/INT_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_inj_wd' 'hl/thm/Complex/complexnumbers/CNJ_INJ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ldiff_land' 'hl/thm/Complex/complexnumbers/complex_div_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_pos_fold' 'hl/thm/Multivariate/transcendentals/RPOW_POW_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pred_succ' 'hl/thm/Multivariate/transcendentals/CSIN_CASN_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_add_succ_l' 'hl/thm/Multivariate/transcendentals/REAL_ABS_RPOW_'
0. 'coq/Coq_QArith_Qminmax_Q_le_max_l' 'hl/thm/realax/HREAL_LE_ADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_1_r' 'hl/thm/Library/pocklington/ORDER_1_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_lub_lt_iff' 'hl/thm/real/REAL_MAX_LT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_divide_mono_r' 'hl/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_QArith_Qcanon_test_field'#@#variant 'hl/thm/real/REAL_DIV_RMUL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_0_iff' 'hl/thm/int/INT_SGN_INEQS_4'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_1_l'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_opp' 'hl/thm/Multivariate/transcendentals/ATN_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_simpl_r' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_ADD_'
0. 'coq/Coq_QArith_Qminmax_Q_max_le_iff' 'hl/thm/int/INT_LT_MAX_'
0. 'coq/Coq_NArith_BinNat_N_double_mul' 'hl/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_lxor_l' 'hl/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_r' 'hl/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Reals_R_sqr_Rsqr_neg' 'hl/thm/Multivariate/vectors/SQRT_WORKS_GEN_/0'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_lt_mono_pos_r'#@#variant 'hl/thm/real/REAL_LT_DIV2_EQ_'#@#variant
0. 'coq/Coq_PArith_Pnat_Pmult_nat_l_plus_morphism'#@#variant 'hl/thm/Complex/cpoly/POLY_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_ngt' 'hl/thm/arith/NOT_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ones_equiv'#@#variant 'hl/thm/calc_num/ARITH_9'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_l' 'hl/thm/Library/integer/INT_DIVIDES_MUL_L_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_nlt' 'hl/thm/int/INT_NOT_LE_'
0. 'coq/Coq_QArith_QArith_base_Qeq_refl' 'hl/thm/realax/TREAL_LE_REFL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_gt_cases' 'hl/thm/arith/LET_CASES_'
0. 'coq/Coq_Reals_Raxioms_Rlt_asym' 'hl/thm/int/INT_LT_ANTISYM_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_assoc' 'hl/thm/realax/TREAL_ADD_ASSOC_'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_T_OMEGA16_stable' 'hl/thm/Library/multiplicative/MULTIPLICATIVE_PHI_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_0_mul_prime'#@#variant 'hl/thm/arith/ODD_MULT_'
0. 'coq/Coq_Init_Peano_pred_Sn' 'hl/thm/Library/transc/ATN_/2'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lcm_eq_0' 'hl/thm/real/REAL_DIV_EQ_0_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_succ_l' 'hl/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_clearbit_spec_prime'#@#variant 'hl/thm/realax/real_div_'
0. 'coq/Coq_ZArith_Zdiv_Zmod_0_r' 'hl/thm/Library/prime/INDEX_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_opp_r' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_divide_add_cancel_l' 'hl/thm/Complex/cpoly/POLY_DIVIDES_SUB2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_lor' 'hl/thm/Library/transc/REAL_EXP_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_glb_lt' 'hl/thm/Library/prime/DIVIDES_SUB_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_glb_iff' 'hl/thm/int/INT_LE_MIN_'
0. 'coq/Coq_NArith_BinNat_N_add_0_l' 'hl/thm/int/INT_MUL_LID_'#@#variant
0. 'coq/Coq_Arith_Factorial_fact_le' 'hl/thm/Multivariate/vectors/SQRT_MONO_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_le' 'hl/thm/real/REAL_ABS_BOUNDS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_1_l'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_LZERO_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_shiftr_lor' 'hl/thm/realax/NADD_RDISTRIB_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pred_div2_up' 'hl/thm/Multivariate/transcendentals/CX_SIN_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lor_eq_0_iff' 'hl/thm/arith/MULT_EQ_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftl_1_l'#@#variant 'hl/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_le_incl' 'hl/thm/realarith/REAL_LT_IMP_LE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_land_diag' 'hl/thm/int/INT_MIN_ACI_3'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_pred' 'hl/thm/int/int_abs_th_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_null'#@#variant 'hl/thm/int/INT_SGN_EQ_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_nle' 'hl/thm/arith/NOT_LE_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_add_le' 'hl/thm/int/INT_ABS_TRIANGLE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_refl' 'hl/thm/realax/TREAL_EQ_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_abs' 'hl/thm/Library/floor/FRAC_FLOOR_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_shuffle3' 'hl/thm/int/INT_MUL_AC_2'
0. 'coq/Coq_Reals_Rfunctions_powerRZ_R1' 'hl/thm/real/REAL_POW_ONE_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_power_pos' 'hl/thm/Multivariate/complexes/REAL_POW_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_eq_0' 'hl/thm/int/INT_ENTIRE_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_lt_succ_diag_r' 'hl/thm/arith/LT_POW2_REFL_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_le_compat_l' 'hl/thm/realax/NADD_LE_LMUL_'
0. 'coq/Coq_NArith_BinNat_N_odd_0' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_le_compat_r' 'hl/thm/Library/integer/INT_DIVIDES_MUL_R_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_1_mul_pos'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_LT_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_0_r' 'hl/thm/Library/pocklington/ORDER_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_0_l' 'hl/thm/arith/MULT_CLAUSES_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_add_le_sub_r' 'hl/thm/real/REAL_LE_SUB_RADD_'
0. 'coq/Coq_Reals_Raxioms_Rplus_lt_compat_l' 'hl/thm/real/REAL_LT_LADD_IMP_'
0. 'coq/Coq_NArith_BinNat_N_log2_le_mono' 'hl/thm/Multivariate/transcendentals/ATN_MONO_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_pos'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_POS_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_lt_total' 'hl/thm/Library/prime/LESS_LESS_CASES_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_le_compat_l' 'hl/thm/Library/prime/DIVIDES_MUL_L_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_shuffle3' 'hl/thm/real/REAL_MIN_ACI_2'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_succ_r' 'hl/thm/real/REAL_NEG_RMUL_'
0. 'coq/Coq_NArith_BinNat_N_max_le_compat_l' 'hl/thm/realax/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_le_compat_l' 'hl/thm/realax/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_cancel_r' 'hl/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_shuffle3' 'hl/thm/int/INT_MUL_AC_2'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_gt' 'hl/thm/realax/TREAL_OF_NUM_LE_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_sin_lb_gt_0'#@#variant 'hl/thm/Multivariate/transcendentals/SIN_POS_PI2_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_le_compat_l' 'hl/thm/real/REAL_LT_LADD_IMP_'
0. 'coq/Coq_ZArith_Zorder_Zplus_le_compat_l' 'hl/thm/realax/TREAL_LE_LADD_IMP_'#@#variant
0. 'coq/Coq_ZArith_Zeven_Zquot2_opp' 'hl/thm/int/INT_ABS_SGN_'
0. 'coq/Coq_Arith_PeanoNat_Nat_min_le_iff' 'hl/thm/int/INT_MIN_LT_'
0. 'coq/Coq_ZArith_BinInt_Z_opp_inj_wd' 'hl/thm/Multivariate/transcendentals/ATN_INJ_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_setbit_spec_prime'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_sub_r' 'hl/thm/Library/integer/INT_DIVIDES_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_lt_mono_pos_l'#@#variant 'hl/thm/int/INT_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zmult_le_compat_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div_le_mono'#@#variant 'hl/thm/real/REAL_LT_RMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_r' 'hl/thm/Library/prime/LESS_MONO_ADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_nonneg' 'hl/thm/Multivariate/transcendentals/ATN_BOUNDS_/0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_shuffle3' 'hl/thm/int/INT_MIN_ACI_2'
0. 'coq/Coq_Lists_List_rev_length' 'hl/thm/Multivariate/vectors/NORM_NEG_'#@#variant
0. 'coq/Coq_QArith_Qminmax_Q_min_le_compat_r' 'hl/thm/Library/prime/DIVIDES_MUL_R_'
0. 'coq/Coq_Reals_RIneq_Rplus_gt_compat_l' 'hl/thm/realax/NADD_MUL_WELLDEF_LEMMA_'
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_mul_r' 'hl/thm/Library/integer/INT_DIVIDES_LMUL_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_is_pos'#@#variant 'hl/thm/Multivariate/transcendentals/ARG_/0'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_neg_xO'#@#variant 'hl/thm/Multivariate/transcendentals/CX_ATN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_le_mono_r' 'hl/thm/arith/LT_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_cancel_r' 'hl/thm/int/INT_EQ_ADD_RCANCEL_'
0. 'coq/Coq_NArith_BinNat_N_add_mod' 'hl/thm/arith/MOD_MULT_MOD2_'#@#variant
0. 'coq/Coq_Reals_Exp_prop_div2_not_R0'#@#variant 'hl/thm/Library/pocklington/EVEN_PHI_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_1_l' 'hl/thm/realax/REAL_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lor_eq_0_iff' 'hl/thm/arith/MULT_EQ_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_opp_l' 'hl/thm/Library/integer/INT_DIVIDES_LABS_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_shuffle3' 'hl/thm/realax/HREAL_ADD_AC_2'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lcm_1_l'#@#variant 'hl/thm/int/INT_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_le_mono_r' 'hl/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_pos' 'hl/thm/calc_num/ARITH_72'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div2_neg' 'hl/thm/real/REAL_SGN_INEQS_7'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_le_mono_r' 'hl/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_NArith_BinNat_N_le_add_r' 'hl/thm/int/INT_MAX_MAX_/0'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_succ_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LNEG_'
0. 'coq/Coq_Arith_PeanoNat_Nat_pred_le_mono' 'hl/thm/arith/FACT_MONO_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_total' 'hl/thm/int/INT_LT_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_l' 'hl/thm/Library/prime/DIVIDES_MUL_L_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_0_discr' 'hl/thm/nums/IND_SUC_0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_opp_r' 'hl/thm/realax/real_sub_'
0. 'coq/Coq_ZArith_BinInt_Z_abs_eq'#@#variant 'hl/thm/Library/floor/REAL_FLOOR_REFL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_lt_mono_r' 'hl/thm/arith/LT_ADD_RCANCEL_'
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_Rabsolu' 'hl/thm/real/REAL_SGN_REAL_SGN_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_div2' 'hl/thm/Multivariate/complexes/IM_CNJ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_glb_lt' 'hl/thm/Library/integer/INT_DIVIDES_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_succ' 'hl/thm/Complex/complex_transc/CEXP_NEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftr_div_pow2'#@#variant 'hl/thm/int/INT_SUB_RNEG_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_succ_m1'#@#variant 'hl/thm/Library/calc_real/REAL_EXP_13_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_lt_le_mono' 'hl/thm/arith/LTE_ADD2_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_eq_cases' 'hl/thm/int/INT_LE_LT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_inj_wd' 'hl/thm/real/REAL_EQ_NEG2_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_pos'#@#variant 'hl/thm/Library/pocklington/PHI_LOWERBOUND_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_1_r'#@#variant 'hl/thm/int/INT_MUL_RZERO_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qmult_le_compat_r'#@#variant 'hl/thm/real/REAL_LE_RMUL_'#@#variant
0. 'coq/Coq_Reals_RIneq_Ropp_div' 'hl/thm/arith/ADD_CLAUSES_2'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_shuffle3' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_AC_2'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_le_mono_r' 'hl/thm/int/INT_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_nonneg' 'hl/thm/int/INT_SGN_INEQS_3'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_refl' 'hl/thm/realax/HREAL_LE_REFL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_sub_le_add_r' 'hl/thm/real/REAL_LE_SUB_LADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_lub_lt_iff' 'hl/thm/real/REAL_MAX_LT_'
0. 'coq/Coq_Arith_PeanoNat_Nat_max_0_l' 'hl/thm/int/INT_MUL_LID_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_le_mono' 'hl/thm/Library/transc/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_ZArith_Zorder_Zplus_le_compat_r' 'hl/thm/Library/integer/INT_DIVIDES_MUL_R_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_l' 'hl/thm/realax/REAL_LE_LADD_IMP_'
0. 'coq/Coq_NArith_BinNat_N_mul_divide_mono_r' 'hl/thm/realax/HREAL_LE_MUL_RCANCEL_IMP_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_2' 'hl/thm/Library/transc/COS_2_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_opp_succ' 'hl/thm/Library/transc/REAL_EXP_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_clearbit_spec_prime'#@#variant 'hl/thm/Complex/complexnumbers/complex_div_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_nonneg_cancel_l'#@#variant 'hl/thm/int/INT_LE_MUL_EQ_0'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_ge' 'hl/thm/realax/TREAL_OF_NUM_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_pos'#@#variant 'hl/thm/Library/transc/ATN_POS_LE_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftr_div_pow2'#@#variant 'hl/thm/realax/real_sub_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_succ_l' 'hl/thm/Multivariate/transcendentals/REAL_INV_RPOW_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_r' 'hl/thm/Library/analysis/LESS_MONO_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_sub' 'hl/thm/real/REAL_SUB_ADD_'
0. 'coq/Coq_ZArith_Znat_Zabs2Nat_inj_pred'#@#variant 'hl/thm/Multivariate/transcendentals/CX_LOG_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_lt_eq_cases' 'hl/thm/realarith/REAL_LE_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_opp_l' 'hl/thm/Multivariate/transcendentals/RPOW_INV_'
0. 'coq/Coq_QArith_QArith_base_Qinv_le_0_compat'#@#variant 'hl/thm/Library/floor/RATIONAL_NEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_pred_l' 'hl/thm/Library/floor/FLOOR_/1'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_1_l'#@#variant 'hl/thm/Library/integer/INT_DIVIDES_1_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_min_le_compat_r' 'hl/thm/Library/prime/DIVIDES_EXP_'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_lt_antirefl' 'hl/thm/arith/LT_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_gcd_divide_r' 'hl/thm/int/INT_MIN_MIN_/1'
0. 'coq/Coq_PArith_BinPos_Pos_min_id' 'hl/thm/real/REAL_MAX_ACI_3'
0. 'coq/Coq_NArith_BinNat_N_lxor_eq_0_iff' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_le_mono_l' 'hl/thm/realax/NADD_LE_LADD_'
0. 'coq/Coq_Reals_Rtrigo1_neg_sin' 'hl/thm/Multivariate/transcendentals/SIN_PERIODIC_PI_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lxor_lnot_lnot' 'hl/thm/arith/SUB_ADD_RCANCEL_'
0. 'coq/Coq_ZArith_Zorder_Zgt_succ' 'hl/thm/Library/floor/FLOOR_/1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_div_small' 'hl/thm/arith/DIV_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_lxor_l' 'hl/thm/Multivariate/transcendentals/RPOW_INV_'
0. 'coq/Coq_ZArith_Znat_N2Z_id' 'hl/thm/Library/floor/INT_OF_REAL_OF_INT_'
0. 'coq/Coq_ZArith_BinInt_Z_nlt_ge' 'hl/thm/int/INT_NOT_LT_'
0. 'coq/Coq_Reals_Rfunctions_pow_incr'#@#variant 'hl/thm/int/INT_POW_LE2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_le_trans' 'hl/thm/arith/LTE_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_pos'#@#variant 'hl/thm/Library/pratt/PHI_LOWERBOUND_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_cancel_r' 'hl/thm/calc_int/REAL_EQ_ADD_RCANCEL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_sqrt' 'hl/thm/Multivariate/transcendentals/CX_TAN_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_glb_iff' 'hl/thm/int/INT_LT_MIN_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_pos'#@#variant 'hl/thm/Library/pocklington/PHI_LOWERBOUND_1_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_id' 'hl/thm/real/REAL_MIN_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_clearbit_spec_prime'#@#variant 'hl/thm/int/INT_SUB_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_le_mono' 'hl/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_divide_mono_l' 'hl/thm/realax/NADD_MUL_WELLDEF_LEMMA_'
0. 'coq/Coq_PArith_Pnat_SuccNat2Pos_inj_succ' 'hl/thm/int/int_abs_th_'
0. 'coq/Coq_Reals_R_sqrt_sqrt_le_0'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_MONO_LT_REV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_id' 'hl/thm/int/INT_MIN_ACI_3'
0. 'coq/Coq_ZArith_BinInt_Z_min_id' 'hl/thm/int/INT_MIN_ACI_3'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_land_diag' 'hl/thm/int/INT_MIN_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_le_mono_r' 'hl/thm/realax/HREAL_LE_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_Zpos' 'hl/thm/int/INT_OF_NUM_LE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_pred' 'hl/thm/Multivariate/transcendentals/CSIN_CASN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_quot_pos'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_LE_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_le_lin'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_refl' 'hl/thm/realax/NADD_LE_REFL_'
0. 'coq/Coq_PArith_BinPos_Pos_mul_lt_mono_l' 'hl/thm/real/REAL_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_refl' 'hl/thm/Multivariate/misc/GE_REFL_'
0. 'coq/Coq_Reals_Rbasic_fun_Rle_min_compat_r' 'hl/thm/Library/prime/LESS_MONO_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_le_mono_r' 'hl/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_NArith_BinNat_N_le_ge_cases' 'hl/thm/realax/HREAL_LE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_id' 'hl/thm/real/REAL_MIN_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_gt_cases' 'hl/thm/arith/LET_CASES_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_divide/0' 'hl/thm/real/REAL_MIN_MIN_/0'
0. 'coq/Coq_Reals_RIneq_Rle_not_lt' 'hl/thm/realarith/REAL_LTE_ANTISYM_'
0. 'coq/Coq_ZArith_Zgcd_alt_fibonacci_pos'#@#variant 'hl/thm/real/REAL_LE_POW2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_r' 'hl/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_cancel_r' 'hl/thm/realax/HREAL_EQ_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div_pos'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_LE_1_'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qcmult_div_r'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_DIV_LMUL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lnot_ldiff' 'hl/thm/real/REAL_SUB_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_succ_l' 'hl/thm/Multivariate/transcendentals/RPOW_INV_'
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_le_mono' 'hl/thm/realax/NADD_INV_WELLDEF_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_succ_r' 'hl/thm/int/INT_NEG_RMUL_'
0. 'coq/Coq_QArith_QArith_base_Qnot_le_lt' 'hl/thm/realarith/REAL_LET_TOTAL_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_id' 'hl/thm/Complex/complexnumbers/complex_tybij_raw_0'#@#variant
0. 'coq/Coq_ZArith_Zpower_two_power_nat_S'#@#variant 'hl/thm/Multivariate/transcendentals/CX_ATN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pred_div2_up' 'hl/thm/int/int_abs_th_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_mod_idemp_l' 'hl/thm/arith/MOD_MULT_LMOD_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_le_mono' 'hl/thm/Library/transc/ATN_MONO_LT_'
0. 'coq/Coq_NArith_BinNat_N_log2_up_null'#@#variant 'hl/thm/real/REAL_SGN_EQ_1'#@#variant
0. 'coq/Coq_NArith_BinNat_N_log2_pos'#@#variant 'hl/thm/Library/pocklington/PHI_LOWERBOUND_2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_lt_le_mono' 'hl/thm/real/REAL_LTE_ADD2_'
0. 'coq/Coq_Reals_Rminmax_R_min_lt_iff' 'hl/thm/int/INT_MIN_LT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_odd_1'#@#variant 'hl/thm/Multivariate/complexes/IM_II_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_ldiff_diag' 'hl/thm/real/REAL_SUB_REFL_'#@#variant
0. 'coq/Coq_Arith_Le_le_n_S' 'hl/thm/Library/transc/ATN_MONO_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_le_compat_r' 'hl/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_pos_nonneg'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_LT_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_2' 'hl/thm/int/INT_NEG_0_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_inv_normc' 'hl/thm/Complex/complex_transc/CX_CSIN_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_le_compat_r' 'hl/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div_small_iff' 'hl/thm/arith/DIV_EQ_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_max_r' 'hl/thm/arith/LE_ADDR_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lcm_1_l'#@#variant 'hl/thm/realax/REAL_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_0_sub'#@#variant 'hl/thm/int/INT_SUB_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_min_l' 'hl/thm/int/INT_MIN_MIN_/0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div2_nonneg' 'hl/thm/calc_num/ARITH_80'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_le_lin'#@#variant 'hl/thm/Library/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_pos'#@#variant 'hl/thm/Library/floor/INTEGER_ABS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_land_0_r' 'hl/thm/Library/pocklington/ORDER_1_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_digits/0'#@#variant 'hl/thm/Library/floor/INTEGER_CLOSED_0'
0. 'coq/Coq_NArith_BinNat_N_add_mod_idemp_r' 'hl/thm/arith/MOD_MULT_RMOD_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rle_le_eq' 'hl/thm/realax/HREAL_LE_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_lor' 'hl/thm/Multivariate/transcendentals/REAL_EXP_ADD_'
0. 'coq/Coq_Reals_Rfunctions_pow_mult' 'hl/thm/int/INT_POW_POW_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div2_nonneg'#@#variant 'hl/thm/Library/floor/INTEGER_ABS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_pos'#@#variant 'hl/thm/Multivariate/vectors/SQRT_LE_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_lt_mono'#@#variant 'hl/thm/real/REAL_LT_MUL2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_inj_wd' 'hl/thm/Multivariate/complexes/CNJ_INJ_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_clearbit_spec_prime'#@#variant 'hl/thm/Complex/complexnumbers/complex_div_'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_div2' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_INV_'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_0_r'#@#variant 'hl/thm/arith/MOD_1_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_lt_mono_pos_l'#@#variant 'hl/thm/int/INT_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_clearbit_spec_prime'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_RNEG_'
0. 'coq/Coq_ZArith_BinInt_Z_land_lnot_diag' 'hl/thm/calc_int/REAL_ADD_RINV_'#@#variant
0. 'coq/Coq_ZArith_Znat_Z2N_inj_succ'#@#variant 'hl/thm/Multivariate/complexes/CSQRT_CX_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pos_pred_succ' 'hl/thm/Multivariate/vectors/LIFT_DROP_0'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_divide_abs_l' 'hl/thm/Library/integer/INT_DIVIDES_LABS_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_setbit_spec_prime'#@#variant 'hl/thm/int/INT_SUB_RNEG_'
0. 'coq/Coq_PArith_BinPos_Pos_mul_le_mono_r' 'hl/thm/arith/LT_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pos_pred_succ' 'hl/thm/Multivariate/vectors/LIFT_DROP_1'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_id' 'hl/thm/Multivariate/complexes/RE_CX_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rlt_le_trans' 'hl/thm/realarith/REAL_LTE_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_lt_mono_l' 'hl/thm/realax/HREAL_LE_ADD_LCANCEL_'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_pred' 'hl/thm/Multivariate/transcendentals/CX_SIN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_nle' 'hl/thm/realarith/REAL_NOT_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_add_r' 'hl/thm/arith/LE_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_shuffle3' 'hl/thm/int/INT_MUL_AC_2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_pos'#@#variant 'hl/thm/Library/floor/RATIONAL_INV_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_simpl_r' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_1_l'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_r' 'hl/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_quot_same'#@#variant 'hl/thm/real/REAL_DIV_REFL_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_mul_lt_mono_l' 'hl/thm/int/INT_LE_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_le_iff' 'hl/thm/real/REAL_LE_MAX_'
0. 'coq/Coq_Reals_Rfunctions_pow_le'#@#variant 'hl/thm/Multivariate/complexes/REAL_POW_'#@#variant
0. 'coq/Coq_Reals_R_sqrt_sqrt_lt_R0'#@#variant 'hl/thm/Multivariate/transcendentals/REAL_EXP_'#@#variant
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_eq_not_lt' 'hl/thm/real/REAL_LT_IMP_NE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_clearbit_spec_prime'#@#variant 'hl/thm/realax/real_div_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_cancel_l' 'hl/thm/calc_int/REAL_EQ_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_add_le' 'hl/thm/int/INT_ABS_TRIANGLE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_1_mul_pos'#@#variant 'hl/thm/realarith/REAL_LTE_ADD_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_lt' 'hl/thm/int/int_ge_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_1_l' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_LZERO_'#@#variant
0. 'coq/Coq_Numbers_Cyclic_ZModulo_ZModulo_Ptail_pos'#@#variant 'hl/thm/Library/floor/RATIONAL_NUM_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_succ_r' 'hl/thm/Multivariate/transcendentals/RPOW_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_pos'#@#variant 'hl/thm/Library/floor/FLOOR_POS_LE_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pred_div2_up' 'hl/thm/Complex/complexnumbers/CX_INV_'
0. 'coq/Coq_QArith_Qminmax_Q_min_le_compat_r' 'hl/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_add_r' 'hl/thm/Library/integer/INT_DIVIDES_ADD_'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tmult_assoc_reduced_stable' 'hl/thm/Library/multiplicative/MULTIPLICATIVE_PHI_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_lt_le_mono' 'hl/thm/real/REAL_LTE_ADD2_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_setbit_spec_prime'#@#variant 'hl/thm/int/INT_SUB_RNEG_'
0. 'coq/Coq_ZArith_BinInt_Z_min_le_compat_l' 'hl/thm/Library/prime/DIVIDES_MUL_L_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mod_1_r'#@#variant 'hl/thm/arith/EXP_0'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_le_gt_cases' 'hl/thm/int/INT_LET_TOTAL_'
0. 'coq/Coq_Reals_RIneq_opp_IZR' 'hl/thm/int/int_abs_th_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_incr' 'hl/thm/int/int_abs_th_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pred_le_mono' 'hl/thm/Library/floor/FLOOR_MONO_'
0. 'coq/Coq_ZArith_Znat_N2Z_is_nonneg'#@#variant 'hl/thm/int/INT_POS_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lor_diag' 'hl/thm/real/REAL_MIN_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_null'#@#variant 'hl/thm/real/REAL_SGN_EQ_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_shuffle3' 'hl/thm/int/INT_MUL_AC_2'
0. 'coq/Coq_NArith_BinNat_N_divide_factor_r' 'hl/thm/arith/LE_ADDR_'
0. 'coq/Coq_ZArith_BinInt_Z_sgn_nonneg'#@#variant 'hl/thm/Library/floor/RATIONAL_INV_EQ_'
0. 'coq/Coq_NArith_BinNat_N_add_1_l'#@#variant 'hl/thm/realarith/REAL_POLY_NEG_CLAUSES_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_0_iff' 'hl/thm/Library/pocklington/PHI_EQ_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div2_double' 'hl/thm/Multivariate/transcendentals/ATN_TAN_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_pos'#@#variant 'hl/thm/Multivariate/vectors/SQRT_LT_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div2_double' 'hl/thm/Multivariate/transcendentals/LOG_EXP_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_eq_le_incl' 'hl/thm/realarith/REAL_LT_IMP_LE_'
0. 'coq/Coq_Reals_RIneq_Rle_le_eq' 'hl/thm/int/INT_LE_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_pred_succ' 'hl/thm/Library/transc/ATN_/2'
0. 'coq/Coq_Init_Peano_plus_Sn_m' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LNEG_'
0. 'coq/Coq_Reals_RIneq_Rplus_lt_le_compat' 'hl/thm/int/INT_LTE_ADD2_'
0. 'coq/Coq_Arith_Lt_lt_pred_n_n'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_LE_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_lt_mono_pos_r'#@#variant 'hl/thm/real/REAL_LT_RMUL_EQ_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_min_glb' 'hl/thm/Library/prime/DIVIDES_SUB_'
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_add_r' 'hl/thm/Library/prime/DIVIDES_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ldiff_m1_l'#@#variant 'hl/thm/int/INT_NEG_MINUS1_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rplus_ge_compat_r' 'hl/thm/Library/integer/INT_DIVIDES_MUL_R_'
0. 'coq/Coq_Reals_RIneq_Rplus_lt_compat_r' 'hl/thm/arith/EXP_MONO_LE_IMP_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_le_compat_l' 'hl/thm/int/INT_LE_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_le_mono' 'hl/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_succ_r_prime' 'hl/thm/arith/MULT_SUC_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_nlt_ge' 'hl/thm/Library/analysis/real_le_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_le_compat_l' 'hl/thm/realax/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_2'#@#variant 'hl/thm/Multivariate/complexes/IM_II_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_irrefl' 'hl/thm/int/INT_LT_REFL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_pos'#@#variant 'hl/thm/Library/floor/FLOOR_POS_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_min_r' 'hl/thm/int/INT_MIN_MIN_/1'
0. 'coq/Coq_Arith_Div2_even_odd_double/0' 'hl/thm/Library/transc/REAL_EXP_LN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_nonneg'#@#variant 'hl/thm/Multivariate/vectors/SQRT_LE_0_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_sgn' 'hl/thm/Complex/complexnumbers/CX_INV_'
0. 'coq/Coq_PArith_BinPos_Pos_lt_irrefl' 'hl/thm/arith/LT_REFL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_rem_opp_l_prime' 'hl/thm/int/INT_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_ngt' 'hl/thm/arith/NOT_LE_'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_succ' 'hl/thm/Multivariate/complexes/IM_CNJ_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_opp_norm' 'hl/thm/Multivariate/transcendentals/REAL_TAN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ldiff_diag' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_REFL_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_le' 'hl/thm/int/int_ge_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_cancel_l' 'hl/thm/int/INT_EQ_ADD_LCANCEL_'
0. 'coq/Coq_Bool_Bool_orb_negb_r' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_RINV_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_lt_mono_r' 'hl/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_add' 'hl/thm/int/INT_SUB_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_le_lin'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_LE_X_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sgn_null_iff' 'hl/thm/real/REAL_NEG_EQ_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_opp_r' 'hl/thm/Complex/complexnumbers/complex_div_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_add_le' 'hl/thm/int/INT_ABS_TRIANGLE_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_succ_max_distr' 'hl/thm/real/REAL_ABS_TRIANGLE_'
0. 'coq/Coq_NArith_Ndist_ni_le_min_1' 'hl/thm/Library/analysis/SUB_LESS_EQ_'
0. 'coq/Coq_Bool_Bool_negb_involutive' 'hl/thm/Complex/complexnumbers/COMPLEX_INV_INV_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_gt_cases' 'hl/thm/realarith/REAL_LET_TOTAL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_divide' 'hl/thm/int/INT_OF_NUM_GT_'
0. 'coq/Coq_Reals_Ratan_atan_opp' 'hl/thm/Library/transc/ATN_NEG_'
0. 'coq/Coq_NArith_BinNat_N_le_add_r' 'hl/thm/realax/NADD_LE_ADD_'
0. 'coq/Coq_NArith_BinNat_N_mul_divide_mono_l' 'hl/thm/real/REAL_LT_LADD_IMP_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_shuffle3' 'hl/thm/realax/HREAL_ADD_AC_2'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_pos'#@#variant 'hl/thm/real/REAL_LE_INV_EQ_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_opp_inj_wd' 'hl/thm/Multivariate/complexes/CNJ_INJ_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_mod_idemp_l' 'hl/thm/arith/MOD_MULT_LMOD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_lteq' 'hl/thm/int/INT_LE_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lnot_0_l' 'hl/thm/int/INT_NEG_MINUS1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_divide_cancel_r' 'hl/thm/Library/integer/INT_DIVIDES_RMUL2_EQ_'#@#variant
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_le_neq' 'hl/thm/real/REAL_LT_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_max_l' 'hl/thm/arith/LE_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_le_incl' 'hl/thm/realax/NADD_EQ_IMP_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_nonpos' 'hl/thm/real/REAL_SGN_INEQS_7'#@#variant
0. 'coq/Coq_ZArith_Znat_Zabs2N_inj_0' 'hl/thm/Multivariate/complexes/RE_II_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_divide_mono_r' 'hl/thm/Library/prime/DIVIDES_EXP_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_le_compat_l' 'hl/thm/int/INT_LE_LADD_IMP_'
0. 'coq/Coq_Reals_Ratan_pow2_ge_0'#@#variant 'hl/thm/real/REAL_LE_POW_2_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_le_max_l' 'hl/thm/arith/LE_ADD_'
0. 'coq/Coq_Reals_Rpower_ln_mult'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_MUL_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_red' 'hl/thm/int/int_neg_th_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_lt_mono_r' 'hl/thm/arith/LT_ADD_RCANCEL_'
0. 'coq/Coq_Reals_R_sqr_Rsqr_abs' 'hl/thm/Multivariate/vectors/REAL_SGN_SQRT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_le_compat_l' 'hl/thm/Library/integer/INT_DIVIDES_MUL_L_'
0. 'coq/Coq_Arith_Plus_le_plus_r' 'hl/thm/real/REAL_MAX_MAX_/1'
0. 'coq/Coq_Arith_PeanoNat_Nat_nlt_ge' 'hl/thm/realarith/REAL_NOT_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_0_r' 'hl/thm/arith/MULT_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_refl' 'hl/thm/realax/HREAL_LE_REFL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_odd_1'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant
0. 'coq/Coq_ZArith_Zquot_Z_quot_monotone'#@#variant 'hl/thm/real/REAL_LT_RMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_total' 'hl/thm/real/REAL_LT_TOTAL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_sub_le_add_r' 'hl/thm/real/REAL_LT_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_involutive' 'hl/thm/real/REAL_INV_INV_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_pos'#@#variant 'hl/thm/Library/pocklington/PHI_LOWERBOUND_1_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_shuffle3' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_AC_2'
0. 'coq/Coq_ZArith_BinInt_Z_sgn_opp' 'hl/thm/Multivariate/complexes/CNJ_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lor_eq_0_iff' 'hl/thm/arith/MULT_EQ_1_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_max_le_compat_r' 'hl/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Reals_ROrderedType_ROrder_not_gt_le' 'hl/thm/realarith/REAL_LTE_TOTAL_'
0. 'coq/Coq_ZArith_BinInt_Z_divide_lcm_r' 'hl/thm/arith/LE_ADDR_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_nonneg_cancel_r'#@#variant 'hl/thm/int/INT_LE_MUL_EQ_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_sub_lt_add_r' 'hl/thm/real/REAL_LE_SUB_RADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_refl' 'hl/thm/Library/poly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_Init_Peano_plus_O_n' 'hl/thm/realax/REAL_MUL_LID_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ldiff_land' 'hl/thm/realax/real_div_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_le_compat_r' 'hl/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_le_pred' 'hl/thm/arith/LT_SUC_LE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_divide_mono_l' 'hl/thm/Library/integer/INT_DIVIDES_MUL_L_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_lt_mono_pos_r'#@#variant 'hl/thm/real/REAL_LT_DIV2_EQ_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lcm_0_r' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RZERO_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_le_mono_l' 'hl/thm/realax/HREAL_LE_ADD_LCANCEL_'
0. 'coq/Coq_Reals_Rtrigo1_COS_bound/1' 'hl/thm/Multivariate/transcendentals/ATN_BOUNDS_/1'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lnot_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_LZERO_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_le_compat_r' 'hl/thm/arith/EXP_MONO_LE_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_pos'#@#variant 'hl/thm/calc_num/ARITH_40'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_lxor_l' 'hl/thm/Multivariate/transcendentals/RPOW_INV_'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_double'#@#variant 'hl/thm/int/int_abs_th_'
0. 'coq/Coq_Arith_PeanoNat_Nat_Even_or_Odd' 'hl/thm/arith/EVEN_OR_ODD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lor_eq_0_iff' 'hl/thm/arith/ADD_EQ_0_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_succ_l' 'hl/thm/int/INT_MUL_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_nlt_ge' 'hl/thm/realax/real_lt_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_r' 'hl/thm/Library/analysis/LESS_MONO_ADD_'
0. 'coq/Coq_Bool_Bool_andb_diag' 'hl/thm/real/REAL_MIN_ACI_3'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_reg_l' 'hl/thm/realax/HREAL_ADD_LCANCEL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lor_diag' 'hl/thm/real/REAL_MIN_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_le_trans' 'hl/thm/arith/LTE_TRANS_'
0. 'coq/Coq_NArith_BinNat_N_pred_le_mono' 'hl/thm/Multivariate/transcendentals/ATN_MONO_LT_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_double_size_level' 'hl/thm/Complex/complex_transc/CX_CCOS_'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_iff' 'hl/thm/Multivariate/vectors/LIFT_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_cancel_r' 'hl/thm/realax/HREAL_EQ_ADD_RCANCEL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_le_mono_l' 'hl/thm/real/REAL_LE_LADD_'
0. 'coq/Coq_fourier_Fourier_util_Rfourier_lt'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_le_mono_l' 'hl/thm/Library/integer/INT_DIVIDES_MUL_R_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_le_mono_l' 'hl/thm/realax/NADD_LE_LADD_'
0. 'coq/Coq_ZArith_BinInt_Z_rem_rem' 'hl/thm/arith/MOD_MOD_REFL_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zlt_0_le_0_pred'#@#variant 'hl/thm/Multivariate/transcendentals/REAL_EXP_LT_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lxor_eq_0_iff' 'hl/thm/realarith/REAL_SUB_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_id' 'hl/thm/int/INT_MIN_ACI_3'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_ngt' 'hl/thm/int/INT_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_factor_l' 'hl/thm/arith/LE_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_Zpos' 'hl/thm/int/INT_OF_NUM_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_pos'#@#variant 'hl/thm/Library/transc/LN_POS_LT_'#@#variant
0. 'coq/Coq_ZArith_Znat_Z2N_inj_quot2' 'hl/thm/Complex/complex_transc/CX_CSIN_'
0. 'coq/Coq_Arith_PeanoNat_Nat_min_le_compat_r' 'hl/thm/Library/analysis/LESS_MONO_ADD_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_pos_cancel_r'#@#variant 'hl/thm/Library/floor/INTEGER_ADD_EQ_1'
0. 'coq/Coq_ZArith_BinInt_Z_add_succ_l' 'hl/thm/calc_int/REAL_MUL_LNEG_'
0. 'coq/Coq_ZArith_BinInt_Z_succ_inj_wd' 'hl/thm/calc_num/ARITH_48'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_refl' 'hl/thm/realax/NADD_LE_REFL_'
0. 'coq/Coq_ZArith_BinInt_Zsucc_pred' 'hl/thm/Multivariate/transcendentals/CSIN_CASN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_pos_cancel_r'#@#variant 'hl/thm/Library/analysis/REAL_LT_RDIV_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_assoc' 'hl/thm/realax/TREAL_ADD_ASSOC_'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_lt' 'hl/thm/int/INT_OF_NUM_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_eq_0_iff' 'hl/thm/Multivariate/transcendentals/RPOW_EQ_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_gt_cases' 'hl/thm/arith/LET_CASES_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftl_opp_r' 'hl/thm/realax/real_div_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_lteq' 'hl/thm/arith/LE_LT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_sub_l' 'hl/thm/real/REAL_MIN_MIN_/0'
0. 'coq/Coq_Arith_Minus_minus_plus' 'hl/thm/int/INT_ADD_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_lor'#@#variant 'hl/thm/Library/transc/LN_DIV_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_lt_lin'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_min_l' 'hl/thm/Library/analysis/SUB_LESS_EQ_'
0. 'coq/Coq_QArith_Qcanon_Qred_involutive' 'hl/thm/int/INT_SGN_INT_SGN_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_le_compat_r' 'hl/thm/realax/HREAL_LE_MUL_RCANCEL_IMP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_r' 'hl/thm/Library/prime/DIVIDES_MUL_R_'
0. 'coq/Coq_PArith_BinPos_Pos_lt_le_trans' 'hl/thm/realarith/REAL_LTE_TRANS_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_divide' 'hl/thm/realax/REAL_OF_NUM_LE_'
0. 'coq/Coq_PArith_BinPos_Pos_ge_le_iff' 'hl/thm/realax/real_ge_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_shuffle3' 'hl/thm/int/INT_MIN_ACI_2'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_pos'#@#variant 'hl/thm/Library/transc/LN_POS_LT_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pow_add_r' 'hl/thm/arith/EXP_ADD_'
0. 'coq/Coq_ZArith_BinInt_Z_eq_le_incl' 'hl/thm/int/INT_EQ_IMP_LE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_le_lin' 'hl/thm/Library/pratt/PHI_LIMIT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_lt_mono_r' 'hl/thm/int/INT_LE_RADD_'
0. 'coq/Coq_QArith_Qcanon_Qcle_refl' 'hl/thm/realax/NADD_EQ_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lcm_eq_0' 'hl/thm/int/INT_ENTIRE_'#@#variant
0. 'coq/Coq_fourier_Fourier_util_Rle_zero_pos_plus1'#@#variant 'hl/thm/Library/pratt/PHI_LOWERBOUND_1_STRONG_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_pos_nonneg'#@#variant 'hl/thm/int/INT_LTE_ADD_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_sub' 'hl/thm/real/REAL_SUB_ADD_'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_double'#@#variant 'hl/thm/Multivariate/transcendentals/CX_TAN_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_le_lt_mono' 'hl/thm/real/REAL_LET_ADD2_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_even_1'#@#variant 'hl/thm/nums/ZERO_DEF_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_pow2'#@#variant 'hl/thm/Library/transc/LN_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div2_nonneg' 'hl/thm/calc_num/ARITH_80'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_opp' 'hl/thm/Multivariate/complexes/CX_INV_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_le_compat_r' 'hl/thm/Library/integer/INT_DIVIDES_MUL_R_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_0_l_prime' 'hl/thm/arith/DIV_0_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_divide_sub_r' 'hl/thm/Library/integer/INT_DIVIDES_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_clearbit_spec_prime'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_RNEG_'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_lt_lin'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_LE_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_le_compat_l' 'hl/thm/Library/prime/DIVIDES_MUL_L_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_asymm' 'hl/thm/int/INT_LT_GT_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_opp' 'hl/thm/int/int_abs_th_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_opp' 'hl/thm/calc_int/REAL_ABS_NEG_'
0. 'coq/Coq_QArith_QArith_base_Zlt_Qlt' 'hl/thm/int/int_gt_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_ngt' 'hl/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_inj_wd' 'hl/thm/nums/IND_SUC_INJ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_neg_pos'#@#variant 'hl/thm/int/INT_NEG_LE0_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_shuffle3' 'hl/thm/real/REAL_MIN_ACI_2'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_odd_2'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_ldiff' 'hl/thm/real/REAL_SUB_LNEG_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_le_mono' 'hl/thm/Library/transc/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_NArith_BinNat_N_pow_le_mono_r_iff'#@#variant 'hl/thm/real/REAL_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_quot_0_l' 'hl/thm/arith/DIV_0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_pos'#@#variant 'hl/thm/Multivariate/vectors/SQRT_LE_0_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lt_le_pred' 'hl/thm/Library/analysis/LESS_EQ_IMP_LESS_SUC_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_divide_mono_l' 'hl/thm/realax/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Reals_RIneq_Rmult_eq_reg_l' 'hl/thm/real/REAL_EQ_LCANCEL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_divide_mul_r' 'hl/thm/Library/integer/INT_DIVIDES_LMUL_'
0. 'coq/Coq_Reals_Rtrigo_def_sin_antisym' 'hl/thm/calc_num/ARITH_2'
0. 'coq/Coq_ZArith_Znumtheory_not_prime_0' 'hl/thm/Library/prime/PRIME_0_'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_le' 'hl/thm/int/INT_OF_NUM_LE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_lcm_r' 'hl/thm/int/INT_MAX_MAX_/1'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_le_incl' 'hl/thm/arith/LT_IMP_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pred_div2_up' 'hl/thm/Multivariate/complexes/CX_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_inj_wd' 'hl/thm/Multivariate/transcendentals/REAL_EXP_INJ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_succ_diag_r' 'hl/thm/Library/analysis/LESS_SUC_REFL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_square_nonneg'#@#variant 'hl/thm/realarith/REAL_LE_SQUARE_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_le_iff' 'hl/thm/int/INT_LE_MAX_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_le_compat_l' 'hl/thm/realax/NADD_LE_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mod_1_r'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_shuffle3' 'hl/thm/int/INT_MIN_ACI_2'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_divide_mono_l' 'hl/thm/realax/TREAL_LE_LADD_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lxor_eq_0_iff' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lxor_lnot_lnot' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_MUL2_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_gcd_divide_r' 'hl/thm/Library/prime/INDEX_TRIVIAL_BOUND_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftl_mul_pow2'#@#variant 'hl/thm/Complex/complexnumbers/complex_div_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_factor_l' 'hl/thm/realax/NADD_LE_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_odd_2'#@#variant 'hl/thm/Multivariate/complexes/RE_II_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_Zpos' 'hl/thm/real/REAL_OF_NUM_GE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_le_compat_r' 'hl/thm/realax/HREAL_LE_MUL_RCANCEL_IMP_'
0. 'coq/Coq_NArith_BinNat_N_pos_pred_succ' 'hl/thm/Multivariate/complexes/RE_CX_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_le_mono_l' 'hl/thm/Library/prime/DIVIDES_MUL_R_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_id' 'hl/thm/int/INT_MIN_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_null'#@#variant 'hl/thm/real/REAL_SGN_EQ_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_pow2'#@#variant 'hl/thm/Library/transc/EXP_LN_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Zpos_eq_iff' 'hl/thm/Multivariate/vectors/DROP_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_irrefl' 'hl/thm/realarith/REAL_LT_REFL_'
0. 'coq/Coq_NArith_BinNat_N_le_0_r' 'hl/thm/arith/LE_0'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_1_l'#@#variant 'hl/thm/realax/NADD_LE_0_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_abs_IZR' 'hl/thm/Complex/complexnumbers/CX_NEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_eq_0' 'hl/thm/arith/MULT_EQ_0_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_lt_mono_nonneg'#@#variant 'hl/thm/real/REAL_LE_MUL2_'#@#variant
0. 'coq/Coq_Reals_Rtrigo_def_sin_antisym' 'hl/thm/real/REAL_SGN_NEG_'
0. 'coq/Coq_ZArith_BinInt_Z_le_sub_le_add_r' 'hl/thm/int/INT_LE_SUB_LADD_'
0. 'coq/Coq_ZArith_Znat_Z2N_inj_div2' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_INV_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_0_discr' 'hl/thm/Library/transc/REAL_EXP_NZ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_max_r' 'hl/thm/int/INT_MAX_MAX_/1'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_pos'#@#variant 'hl/thm/Library/floor/RATIONAL_NUM_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_0_l' 'hl/thm/arith/ADD_CLAUSES_0'#@#variant
0. 'coq/Coq_NArith_BinNat_N_even_spec' 'hl/thm/Multivariate/complexes/real_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lcm_eq_0' 'hl/thm/Complex/complexnumbers/COMPLEX_ENTIRE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_pos_cancel_l'#@#variant 'hl/thm/int/INT_LT_MUL_EQ_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_mul_below' 'hl/thm/int/INT_SUB_ABS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_le_compat_l' 'hl/thm/realax/TREAL_LE_LADD_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_land_diag' 'hl/thm/int/INT_MIN_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_lt_lin'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_LE_X_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rgt_not_eq' 'hl/thm/int/INT_LT_IMP_NE_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_total' 'hl/thm/arith/LT_CASES_'
0. 'coq/Coq_NArith_BinNat_N_even_1'#@#variant 'hl/thm/nums/ZERO_DEF_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_sub_le_add_r' 'hl/thm/real/REAL_LE_SUB_RADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_max_r' 'hl/thm/arith/LE_ADDR_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_le_mono' 'hl/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_lcm_divide_iff' 'hl/thm/int/INT_MAX_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_lt_mono_l_iff' 'hl/thm/Library/integer/INT_DIVIDES_RMUL2_EQ_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_min_glb_lt_iff' 'hl/thm/int/INT_LT_MIN_'
0. 'coq/Coq_NArith_BinNat_N_sqrt_lt_lin'#@#variant 'hl/thm/Library/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_lub_lt_iff' 'hl/thm/int/INT_MAX_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_irrefl' 'hl/thm/arith/LT_REFL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sub_diag' 'hl/thm/real/REAL_SUB_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_id' 'hl/thm/int/INT_MIN_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div2_double' 'hl/thm/Multivariate/transcendentals/LOG_EXP_'
0. 'coq/Coq_Reals_Rfunctions_pow_lt'#@#variant 'hl/thm/Library/floor/RATIONAL_POW_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_lt_mono_l' 'hl/thm/realax/NADD_LE_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_min_r' 'hl/thm/int/INT_MIN_MIN_/1'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_0_discr' 'hl/thm/nums/NOT_SUC_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_pos'#@#variant 'hl/thm/int/INT_SGN_INEQS_0'#@#variant
0. 'coq/Coq_QArith_Qreduction_Qred_comp' 'hl/thm/Library/transc/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_opp_diag_l' 'hl/thm/realax/REAL_ADD_LINV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_ge_cases' 'hl/thm/int/INT_LET_TOTAL_'
0. 'coq/Coq_ZArith_Zsqrt_compat_Zsqrt_plain_is_pos'#@#variant 'hl/thm/Library/floor/RATIONAL_INV_'
0. 'coq/Coq_ZArith_BinInt_Z_sgn_nonneg'#@#variant 'hl/thm/calc_num/ARITH_40'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_ge_cases' 'hl/thm/arith/LE_CASES_'
0. 'coq/Coq_Reals_RIneq_Rlt_0_sqr'#@#variant 'hl/thm/int/INT_ABS_CASES_'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_reduce_lhyps_valid'#@#variant 'hl/thm/Library/multiplicative/MULTIPLICATIVE_TAU_'
0. 'coq/Coq_NArith_BinNat_N_max_le_compat_r' 'hl/thm/Library/prime/DIVIDES_EXP_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_ge_le_iff' 'hl/thm/realax/real_ge_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_divide_mono_l' 'hl/thm/realax/NADD_LE_LMUL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_succ_diag_r' 'hl/thm/Library/analysis/LESS_SUC_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_0_r' 'hl/thm/calc_int/REAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_Bool_Bool_negb_xorb_r' 'hl/thm/int/INT_MUL_RNEG_'
0. 'coq/Coq_NArith_BinNat_N_sqrt_le_lin' 'hl/thm/Library/floor/FLOOR_/1'
0. 'coq/Coq_ZArith_Zsqrt_compat_Zsqrt_le'#@#variant 'hl/thm/Library/transc/SQRT_MONO_LT_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_of_Q' 'hl/thm/int/int_abstr_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_pred_double_succ' 'hl/thm/calc_num/ARITH_9'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sub_min_distr_l' 'hl/thm/arith/EXP_ADD_'
0. 'coq/Coq_ZArith_BinInt_Z_max_le_iff' 'hl/thm/int/INT_LE_MAX_'
0. 'coq/Coq_QArith_Qabs_Qabs_triangle' 'hl/thm/int/INT_ABS_TRIANGLE_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_le_compat_r' 'hl/thm/Library/analysis/LESS_MONO_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_le_mono' 'hl/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_0_r'#@#variant 'hl/thm/Library/prime/INDEX_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_0_sub'#@#variant 'hl/thm/realarith/REAL_SUB_LT_'#@#variant
0. 'coq/Coq_Bool_Bool_negb_xorb_r' 'hl/thm/int/INT_NEG_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_0_l' 'hl/thm/arith/ADD_CLAUSES_0'#@#variant
0. 'coq/Coq_Reals_RIneq_Rgt_or_ge' 'hl/thm/arith/LET_CASES_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_lt_mono_r_iff'#@#variant 'hl/thm/Library/analysis/REAL_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_even_2'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lor_m1_r'#@#variant 'hl/thm/int/INT_MUL_RZERO_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_pred_inj_wd' 'hl/thm/real/REAL_EQ_NEG2_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pow_lt_mono_r_iff'#@#variant 'hl/thm/real/REAL_LE_LMUL_EQ_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_rem_opp_l_prime' 'hl/thm/Multivariate/transcendentals/RPOW_INV_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_le_compat_r' 'hl/thm/Library/prime/DIVIDES_EXP_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_divide' 'hl/thm/int/INT_OF_NUM_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_le_incl' 'hl/thm/int/INT_LT_IMP_LE_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sub_le_mono_r' 'hl/thm/Library/integer/INT_DIVIDES_MUL_R_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_le_succ_r' 'hl/thm/Library/analysis/LESS_SUC_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_succ_diag_r' 'hl/thm/int/INT_ABS_LE_'
0. 'coq/Coq_NArith_BinNat_N_le_refl' 'hl/thm/Library/prime/DIVIDES_REFL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_null_iff' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_EQ_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_le_lin' 'hl/thm/Library/pocklington/PHI_LIMIT_'
0. 'coq/Coq_NArith_BinNat_N_add_le_mono_r' 'hl/thm/realax/HREAL_LE_ADD_RCANCEL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_min_l' 'hl/thm/int/INT_MIN_MIN_/0'
0. 'coq/Coq_Reals_RIneq_Ropp_Ropp_IZR' 'hl/thm/Multivariate/transcendentals/CX_ATN_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_min_glb_iff' 'hl/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_PArith_BinPos_Pos_mul_le_mono_l' 'hl/thm/arith/LT_ADD_LCANCEL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lnot_0_l' 'hl/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_glb_lt_iff' 'hl/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_ZArith_Znat_Z2N_inj_div2' 'hl/thm/Complex/complexnumbers/CX_INV_'
0. 'coq/Coq_NArith_BinNat_N_log2_up_le_mono' 'hl/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_min_distr' 'hl/thm/Complex/complex_transc/CEXP_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_succ_diag_r' 'hl/thm/Library/analysis/LESS_EQ_SUC_REFL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_l' 'hl/thm/real/REAL_LT_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_div2'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_LT_X_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rgt_ge_trans' 'hl/thm/int/INT_LTE_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sub_max_distr_l' 'hl/thm/arith/EXP_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div2_nonneg'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_POS_LT_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_le_refl' 'hl/thm/Library/integer/INT_DIVIDES_REFL_'
0. 'coq/Coq_NArith_BinNat_N_div_le_mono' 'hl/thm/arith/DIV_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_le_compat_l' 'hl/thm/Library/integer/INT_DIVIDES_MUL_L_'
0. 'coq/Coq_Reals_Rtrigo1_sin_lb_gt_0'#@#variant 'hl/thm/Library/transc/SIN_POS_PI_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_null'#@#variant 'hl/thm/int/INT_SGN_EQ_1'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_quot_same'#@#variant 'hl/thm/real/REAL_DIV_REFL_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_opp' 'hl/thm/Complex/complex_transc/CX_CCOS_'
0. 'coq/Coq_PArith_BinPos_Pos_mul_lt_mono_r' 'hl/thm/arith/LE_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_nlt_ge' 'hl/thm/arith/NOT_LE_'
0. 'coq/Coq_Arith_PeanoNat_Nat_neq_succ_0' 'hl/thm/Multivariate/transcendentals/REAL_EXP_NZ_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_r' 'hl/thm/Library/analysis/LESS_MONO_ADD_'
0. 'coq/Coq_NArith_BinNat_N_gcd_eq_0' 'hl/thm/arith/ADD_EQ_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_div2_double'#@#variant 'hl/thm/Library/transc/ATN_/2'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_quot2' 'hl/thm/Complex/complex_transc/CX_CSIN_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_le_mono' 'hl/thm/Library/transc/ATN_MONO_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_pred_l' 'hl/thm/Library/floor/FLOOR_/1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_add_lt_sub_r' 'hl/thm/real/REAL_LT_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_refl' 'hl/thm/int/INT_LE_REFL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_sub_diag' 'hl/thm/real/REAL_SUB_REFL_'#@#variant
0. 'coq/Coq_NArith_Ndist_ni_le_total' 'hl/thm/realax/TREAL_LE_TOTAL_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_eq_0_gt_0_cases'#@#variant 'hl/thm/arith/LE_1_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_le_compat_r' 'hl/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Reals_RIneq_pos_INR'#@#variant 'hl/thm/Library/floor/RATIONAL_NUM_'
0. 'coq/Coq_Arith_Gt_gt_n_S' 'hl/thm/arith/FACT_MONO_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_odd_sub' 'hl/thm/int/INT_OF_NUM_SUB_'
0. 'coq/Coq_Arith_PeanoNat_Nat_even_0' 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_sub_le_add_r' 'hl/thm/int/INT_LT_SUB_RADD_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_sqrt' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_INV_'
0. 'coq/Coq_NArith_BinNat_N_div2_succ_double' 'hl/thm/Multivariate/transcendentals/LOG_EXP_'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_1_l' 'hl/thm/Library/analysis/SUB_OLD_0'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_pos'#@#variant 'hl/thm/Library/transc/ATN_POS_LE_'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_succ' 'hl/thm/int/int_abs_th_'
0. 'coq/Coq_Arith_Plus_plus_le_compat_r' 'hl/thm/realax/HREAL_LE_MUL_RCANCEL_IMP_'
0. 'coq/Coq_Bool_Bool_eqb_true_iff' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_lcm_l' 'hl/thm/realax/NADD_LE_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_lcm_r' 'hl/thm/int/INT_MAX_MAX_/1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_involutive' 'hl/thm/real/REAL_INV_INV_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lcm_1_l'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_LZERO_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_le_mono' 'hl/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_is_nonneg'#@#variant 'hl/thm/Multivariate/transcendentals/ARG_/0'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_succ_l' 'hl/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_Init_Datatypes_CompOpp_involutive' 'hl/thm/int/INT_NEGNEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_setbit_spec_prime'#@#variant 'hl/thm/realax/real_sub_'
0. 'coq/Coq_ZArith_BinInt_Z_opp_succ' 'hl/thm/calc_num/ARITH_5'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_pos'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_POS_'#@#variant
0. 'coq/Coq_Reals_SeqProp_CV_mult' 'hl/thm/Library/analysis/SER_SUB_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_opp_r' 'hl/thm/real/REAL_SUB_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_0_l' 'hl/thm/realax/REAL_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_nonpos' 'hl/thm/real/REAL_SGN_INEQS_5'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_divide_mono_r' 'hl/thm/Library/prime/DIVIDES_EXP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_pos'#@#variant 'hl/thm/Multivariate/transcendentals/REAL_EXP_LT_1_'#@#variant
0. 'coq/Coq_Arith_Gt_gt_n_S' 'hl/thm/Library/transc/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_NArith_BinNat_N_le_alt_dichotomy' 'hl/thm/realax/REAL_LE_TOTAL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_1_l'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_LZERO_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_sub_r' 'hl/thm/Library/integer/INT_DIVIDES_SUB_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_le_compat_l' 'hl/thm/real/REAL_LT_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_ldiff_diag' 'hl/thm/arith/SUB_REFL_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pred_div2_up' 'hl/thm/Multivariate/transcendentals/CX_ATN_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_Zabs' 'hl/thm/Multivariate/transcendentals/CX_ATN_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_quot_mul' 'hl/thm/Complex/complexnumbers/COMPLEX_DIV_RMUL_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_lcm_divide_iff' 'hl/thm/int/INT_MAX_LT_'
0. 'coq/Coq_Arith_Minus_minus_diag_reverse' 'hl/thm/arith/SUB_REFL_'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_gt_lt_iff' 'hl/thm/arith/GE_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_pos' 'hl/thm/calc_num/ARITH_80'
0. 'coq/Coq_NArith_BinNat_N_pow_le_mono_l_iff' 'hl/thm/Library/prime/DIVIDES_RMUL2_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_succ_diag_r' 'hl/thm/int/INT_ABS_LE_'
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_nonneg_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LE_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_of_Qc_bis' 'hl/thm/real/REAL_LT_POW2_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_le_le_succ_r' 'hl/thm/Library/analysis/LESS_SUC_'
0. 'coq/Coq_Reals_Rbasic_fun_abs_IZR' 'hl/thm/Multivariate/transcendentals/CX_COS_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_abs_0_iff' 'hl/thm/calc_num/ARITH_50'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_lt_mono_nonneg'#@#variant 'hl/thm/Library/analysis/REAL_LE_MUL2V_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_lt_eq_cases' 'hl/thm/int/INT_LE_LT_'
0. 'coq/Coq_ZArith_BinInt_Z2Pos_inj_succ'#@#variant 'hl/thm/Multivariate/complexes/CSQRT_CX_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pow_le_mono_l' 'hl/thm/Library/analysis/LESS_MONO_ADD_'
0. 'coq/Coq_QArith_Qcanon_Qcopp_involutive' 'hl/thm/Complex/complexnumbers/COMPLEX_INV_INV_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_l' 'hl/thm/realax/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_pos_r'#@#variant 'hl/thm/real/REAL_LE_RMUL_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_succ_diag_r' 'hl/thm/Library/analysis/LESS_EQ_SUC_REFL_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_log2' 'hl/thm/int/int_neg_th_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_gt' 'hl/thm/int/int_ge_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_lt_mono_l' 'hl/thm/real/REAL_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lcm_1_l'#@#variant 'hl/thm/int/INT_MUL_LID_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_1_r'#@#variant 'hl/thm/realax/HREAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_gt_cases' 'hl/thm/realarith/REAL_LET_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftr_opp_r' 'hl/thm/real/REAL_SUB_RNEG_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_ngt' 'hl/thm/int/INT_LT_'
0. 'coq/Coq_ZArith_Zeven_Zquot2_opp' 'hl/thm/Library/transc/ATN_NEG_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_le_mono' 'hl/thm/real/REAL_LT_NEG_'
0. 'coq/Coq_QArith_QArith_base_Qeq_refl' 'hl/thm/Library/prime/DIVIDES_REFL_'
0. 'coq/Coq_QArith_Qminmax_Q_max_le_compat_r' 'hl/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_glb_lt_iff' 'hl/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_total' 'hl/thm/Library/analysis/LESS_LESS_CASES_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_le_mono' 'hl/thm/Library/floor/FLOOR_MONO_'
0. 'coq/Coq_Structures_OrderedTypeEx_N_as_OT_lt_not_eq' 'hl/thm/real/REAL_LT_IMP_NE_'
0. 'coq/Coq_Arith_Gt_gt_n_S' 'hl/thm/Multivariate/transcendentals/ATN_MONO_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lcm_diag' 'hl/thm/real/REAL_MIN_ACI_3'
0. 'coq/Coq_ZArith_BinInt_Z_max_le_compat_l' 'hl/thm/Library/prime/DIVIDES_MUL_L_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_sub' 'hl/thm/arith/ADD_SUB_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftr_div_pow2'#@#variant 'hl/thm/int/INT_SUB_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_abs' 'hl/thm/Multivariate/complexes/CX_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_succ_diag_r' 'hl/thm/arith/LT_POW2_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_factor_r' 'hl/thm/int/INT_MAX_MAX_/1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_pos'#@#variant 'hl/thm/Library/floor/RATIONAL_NEG_EQ_'
0. 'coq/Coq_Numbers_Natural_BigN_Nbasic_plusnS' 'hl/thm/calc_int/REAL_MUL_RNEG_'
0. 'coq/Coq_PArith_Pnat_SuccNat2Pos_inj_succ' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_INV_'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_le_mono' 'hl/thm/Library/floor/FLOOR_MONO_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_lt_mono_l' 'hl/thm/int/INT_LE_LADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_succ_r_prime' 'hl/thm/arith/MULT_SUC_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_le_mono' 'hl/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Reals_RIneq_Ropp_0_le_ge_contravar'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_POS_LT_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_add_le' 'hl/thm/int/INT_ABS_TRIANGLE_'
0. 'coq/Coq_ZArith_Zeven_Zeven_pred' 'hl/thm/Library/pocklington/EVEN_PHI_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Zle_Qle' 'hl/thm/int/int_le_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_add_r' 'hl/thm/int/INT_MAX_MAX_/0'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_abs' 'hl/thm/int/int_abs_th_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lcm_diag' 'hl/thm/int/INT_MAX_ACI_3'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_incr' 'hl/thm/int/int_neg_th_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_lcm_l' 'hl/thm/realax/HREAL_LE_ADD_'
0. 'coq/Coq_Reals_Rbasic_fun_Rle_min_compat_r' 'hl/thm/Library/prime/DIVIDES_MUL_R_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_lt_iff' 'hl/thm/real/REAL_LE_MAX_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_lteq' 'hl/thm/arith/LE_LT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_neq_0_succ' 'hl/thm/nums/NOT_SUC_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_divide_mono_r' 'hl/thm/Library/prime/DIVIDES_MUL_R_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_odd_spec' 'hl/thm/Multivariate/complexes/real_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_2' 'hl/thm/Library/transc/TAN_0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_gt_cases' 'hl/thm/realarith/REAL_LET_TOTAL_'
0. 'coq/Coq_Reals_RIneq_Rplus_le_compat_l' 'hl/thm/realax/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_0_l' 'hl/thm/realax/REAL_ADD_LID_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_odd_1'#@#variant 'hl/thm/nums/ZERO_DEF_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_sub_le_add_r' 'hl/thm/int/INT_LT_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_le_compat_l' 'hl/thm/realax/NADD_MUL_WELLDEF_LEMMA_'
0. 'coq/Coq_ZArith_BinInt_Z_lnot_involutive' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_le_compat_l' 'hl/thm/realax/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_nonneg_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LT_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_neg_xO'#@#variant 'hl/thm/Complex/complex_transc/CX_CSIN_'
0. 'coq/Coq_QArith_Qminmax_Q_min_le_compat_r' 'hl/thm/Library/prime/LESS_MONO_ADD_'
0. 'coq/Coq_NArith_BinNat_N_add_sub' 'hl/thm/real/REAL_SUB_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_move_0_l' 'hl/thm/real/REAL_RNEG_UNIQ_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_refl' 'hl/thm/realax/TREAL_LE_REFL_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_pos_cancel_r'#@#variant 'hl/thm/real/REAL_LT_MUL_EQ_1'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_pred'#@#variant 'hl/thm/Multivariate/transcendentals/CX_LOG_'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_le' 'hl/thm/real/REAL_OF_NUM_LT_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_pos'#@#variant 'hl/thm/int/INT_SGN_INEQS_1'#@#variant
0. 'coq/Coq_QArith_Qminmax_Q_min_comm' 'hl/thm/realax/TREAL_ADD_SYM_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_nge' 'hl/thm/Library/analysis/real_le_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_le_mono_r' 'hl/thm/int/INT_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_alt_dichotomy' 'hl/thm/realax/TREAL_LE_TOTAL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_1_l' 'hl/thm/int/INT_ADD_LID_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_double_spec' 'hl/thm/real/REAL_SUB_LZERO_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_sub_le_add_r' 'hl/thm/Library/analysis/SUB_LEFT_GREATER_EQ_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_sub_r' 'hl/thm/Library/prime/DIVIDES_SUB_'
0. 'coq/Coq_QArith_QArith_base_Qplus_comm' 'hl/thm/realax/NADD_ADD_SYM_'
0. 'coq/Coq_ZArith_BinInt_Z_sgn_nonneg'#@#variant 'hl/thm/Library/transc/ATN_POS_LE_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_le_mono_l' 'hl/thm/int/INT_LT_LADD_'
0. 'coq/Coq_Reals_AltSeries_PI_tg_pos'#@#variant 'hl/thm/int/INT_POS_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_0_r' 'hl/thm/arith/MULT_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_0_r' 'hl/thm/arith/MULT_0_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_min_glb' 'hl/thm/Library/prime/DIVIDES_ADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_shuffle3' 'hl/thm/arith/ADD_AC_2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_inj_wd' 'hl/thm/int/INT_EQ_NEG2_'
0. 'coq/Coq_ZArith_Zlogarithm_log_inf_correct2/0' 'hl/thm/Complex/complex_transc/COMPLEX_NORM_GE_RE_IM_/1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_shuffle3' 'hl/thm/int/INT_MAX_ACI_2'
0. 'coq/Coq_Reals_RIneq_Rge_not_gt' 'hl/thm/int/INT_LET_ANTISYM_'
0. 'coq/Coq_NArith_Nnat_Nat2N_id' 'hl/thm/Complex/complexnumbers/complex_tybij_1'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tred_factor6_stable' 'hl/thm/Library/multiplicative/MULTIPLICATIVE_TAU_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_shuffle3' 'hl/thm/real/REAL_MIN_ACI_2'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_E_bits_lt_antirefl' 'hl/thm/arith/LT_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_lt_le_mono' 'hl/thm/int/INT_LTE_ADD2_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_lt_le_mono' 'hl/thm/int/INT_LTE_ADD2_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftl_mul_pow2'#@#variant 'hl/thm/realax/real_sub_'
0. 'coq/Coq_ZArith_BinInt_Z_lxor_0_l' 'hl/thm/realax/REAL_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_id' 'hl/thm/int/INT_MAX_ACI_3'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_opp' 'hl/thm/real/REAL_ABS_INV_'
0. 'coq/Coq_NArith_BinNat_N_log2_up_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LT_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lnot_ones' 'hl/thm/realax/REAL_ADD_LINV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lcm_0_r' 'hl/thm/realax/HREAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_lt_iff' 'hl/thm/real/REAL_LT_MAX_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_1_mul_pos'#@#variant 'hl/thm/int/INT_LTE_ADD_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_le_ngt' 'hl/thm/int/INT_NOT_LE_'
0. 'coq/Coq_Sets_Uniset_leb_refl' 'hl/thm/realax/HREAL_LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_le_mono_nonneg_r'#@#variant 'hl/thm/Library/analysis/REAL_LE_RMUL_IMP_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_divide_factor_r' 'hl/thm/int/INT_MAX_MAX_/1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_gt_cases' 'hl/thm/real/REAL_NOT_EQ_'
0. 'coq/Coq_Reals_Rfunctions_R_dist_refl' 'hl/thm/int/INT_SUB_0_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_is_nonneg'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_neq_succ_0' 'hl/thm/nums/IND_SUC_0_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_succ_diag_r' 'hl/thm/real/REAL_ABS_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_0_iff' 'hl/thm/calc_num/ARITH_50'
0. 'coq/Coq_Reals_RIneq_Rplus_gt_compat_r' 'hl/thm/realax/NADD_LE_RMUL_'
0. 'coq/Coq_ZArith_Zorder_Zplus_gt_reg_l' 'hl/thm/realax/NADD_ADD_LCANCEL_'
0. 'coq/Coq_ZArith_BinInt_Z_le_refl' 'hl/thm/realax/NADD_LE_REFL_'
0. 'coq/Coq_PArith_BinPos_Pos_lt_add_r' 'hl/thm/arith/LE_ADD_'
0. 'coq/Coq_Init_Peano_mult_n_O' 'hl/thm/Library/pocklington/ORDER_1_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_nle_gt' 'hl/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_0_l' 'hl/thm/int/INT_ADD_LID_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_log2_lor' 'hl/thm/Multivariate/transcendentals/REAL_EXP_SUB_'
0. 'coq/Coq_Reals_Rfunctions_pow_le'#@#variant 'hl/thm/real/REAL_POW_LE_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_even_0' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_lub_lt_iff' 'hl/thm/int/INT_MAX_LE_'
0. 'coq/Coq_NArith_BinNat_N_lor_0_l' 'hl/thm/realax/REAL_MUL_LID_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_1' 'hl/thm/Library/pratt/PHI_0_'
0. 'coq/Coq_PArith_BinPos_Pplus_one_succ_l' 'hl/thm/int/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_greatest' 'hl/thm/Library/integer/INT_DIVIDES_ADD_'
0. 'coq/Coq_Reals_RIneq_Rlt_0_1' 'hl/thm/Multivariate/transcendentals/PI2_BOUNDS_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_double_mul' 'hl/thm/calc_int/REAL_MUL_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_land_m1_l'#@#variant 'hl/thm/realax/HREAL_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_2' 'hl/thm/int/INT_SGN_0_'
0. 'coq/Coq_QArith_QArith_base_Zle_Qle' 'hl/thm/real/REAL_OF_NUM_GE_'
0. 'coq/Coq_NArith_BinNat_N_neq_succ_0' 'hl/thm/Complex/complex_transc/CEXP_NONZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_nlt_ge' 'hl/thm/int/INT_LT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_double_mul' 'hl/thm/Multivariate/transcendentals/REAL_INV_RPOW_'
0. 'coq/Coq_NArith_BinNat_N_pow_le_mono_l' 'hl/thm/Library/prime/DIVIDES_EXP_'
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_Ropp' 'hl/thm/Multivariate/transcendentals/COS_ABS_'
0. 'coq/Coq_NArith_BinNat_N_double_mul' 'hl/thm/calc_int/REAL_MUL_LNEG_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_2' 'hl/thm/Library/calc_real/REAL_EXP_13_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_l' 'hl/thm/Library/integer/INT_DIVIDES_MUL_L_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_1'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant
0. 'coq/Coq_Reals_Ratan_atan_right_inv' 'hl/thm/Library/transc/LN_EXP_'
0. 'coq/Coq_ZArith_Zquot_Z_rem_same' 'hl/thm/int/INT_SUB_REFL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sgn_nonneg' 'hl/thm/calc_num/ARITH_80'
0. 'coq/Coq_Arith_EqNat_eq_nat_refl' 'hl/thm/realax/NADD_LE_REFL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_1' 'hl/thm/Library/calc_real/REAL_EXP_13_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_eq_mul_0' 'hl/thm/arith/MULT_EQ_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_diag'#@#variant 'hl/thm/arith/MULT_2_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_le_mono' 'hl/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_double_mul' 'hl/thm/arith/ADD_CLAUSES_2'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_0_l' 'hl/thm/realarith/REAL_POLY_NEG_CLAUSES_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_mul_l' 'hl/thm/Library/integer/INT_DIVIDES_RMUL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_refl' 'hl/thm/Multivariate/misc/GE_REFL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_lt_iff' 'hl/thm/real/REAL_LT_MAX_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_shuffle3' 'hl/thm/Multivariate/complexes/COMPLEX_MUL_AC_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_lt_mono_r' 'hl/thm/int/INT_LE_RADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_add_diag_r' 'hl/thm/realax/NADD_LE_ADD_'
0. 'coq/Coq_NArith_BinNat_N_sub_min_distr_l' 'hl/thm/arith/EXP_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_divide_cancel_l' 'hl/thm/Library/prime/DIVIDES_LMUL2_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_shuffle3' 'hl/thm/int/INT_ADD_AC_2'
0. 'coq/Coq_QArith_QArith_base_Qmult_lt_r'#@#variant 'hl/thm/real/REAL_LE_RMUL_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_pow' 'hl/thm/arith/ADD_CLAUSES_2'
0. 'coq/Coq_ZArith_Zdiv_Z_div_same_full'#@#variant 'hl/thm/real/REAL_DIV_REFL_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rgt_irrefl' 'hl/thm/realarith/REAL_LT_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_le_lin'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_LE_X_'#@#variant
0. 'coq/Coq_Reals_RIneq_Ropp_0_le_ge_contravar'#@#variant 'hl/thm/Library/pratt/PHI_LOWERBOUND_2_'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_gt' 'hl/thm/int/INT_OF_NUM_LE_'
0. 'coq/Coq_ZArith_BinInt_Zpos_eq_iff' 'hl/thm/realax/HREAL_OF_NUM_EQ_'
0. 'coq/Coq_QArith_Qcanon_Qclt_not_le' 'hl/thm/int/INT_LTE_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_le_mono' 'hl/thm/Library/floor/FLOOR_MONO_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_divide' 'hl/thm/realax/HREAL_OF_NUM_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_le_lin' 'hl/thm/Library/pocklington/PHI_LIMIT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_null'#@#variant 'hl/thm/int/INT_SGN_EQ_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_1_l' 'hl/thm/realax/HREAL_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_nle' 'hl/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_asymm' 'hl/thm/real/REAL_LT_GT_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_min_distr' 'hl/thm/realax/NADD_LDISTRIB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_lt_mono_pos_l'#@#variant 'hl/thm/Library/analysis/REAL_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_lt_lin'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_LT_X_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_2' 'hl/thm/Multivariate/transcendentals/SIN_0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_le_mono_nonneg_r'#@#variant 'hl/thm/int/INT_LE_RMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_1_mul_pos'#@#variant 'hl/thm/realarith/REAL_LTE_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div2_nonneg'#@#variant 'hl/thm/real/REAL_SGN_INEQS_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_le_mono_r' 'hl/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_NArith_BinNat_N_le_gt_cases' 'hl/thm/realarith/REAL_LTE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_le_compat_r' 'hl/thm/arith/EXP_MONO_LE_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_lt_mono_r' 'hl/thm/arith/LE_ADD_RCANCEL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_pow' 'hl/thm/arith/ADD_CLAUSES_2'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_add_r' 'hl/thm/realax/NADD_LE_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_1_l'#@#variant 'hl/thm/realax/HREAL_ADD_LID_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_divide' 'hl/thm/int/INT_OF_NUM_LT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_le_mono_r' 'hl/thm/int/INT_LT_RADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_0_l' 'hl/thm/arith/ADD_CLAUSES_0'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_cancel_l' 'hl/thm/realax/HREAL_EQ_ADD_LCANCEL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lcm_divide_iff' 'hl/thm/real/REAL_MAX_LT_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_m1'#@#variant 'hl/thm/Multivariate/complexes/RE_II_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_div2_neg' 'hl/thm/calc_num/ARITH_92'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_1_r'#@#variant 'hl/thm/calc_int/REAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_continuity_cos' 'hl/thm/Library/multiplicative/MULTIPLICATIVE_PHI_'
0. 'coq/Coq_Reals_Rpower_ln_exp' 'hl/thm/Library/transc/ATN_TAN_'
0. 'coq/Coq_ZArith_Znat_Zabs2Nat_inj_succ'#@#variant 'hl/thm/Multivariate/complexes/CSQRT_CX_'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Topp_one_stable' 'hl/thm/Library/multiplicative/MULTIPLICATIVE_SIGMA_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_cancel_l' 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_ADD_LCANCEL_'
0. 'coq/Coq_Reals_Ratan_atan_opp' 'hl/thm/Multivariate/transcendentals/CNJ_CSIN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_lor' 'hl/thm/Complex/complex_transc/CEXP_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_pos' 'hl/thm/int/INT_SGN_INEQS_2'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_lt_mono_r' 'hl/thm/arith/LT_ADD_RCANCEL_'
0. 'coq/Coq_NArith_BinNat_N_succ_0_discr' 'hl/thm/Library/transc/REAL_EXP_NZ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_pos_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_POS_LT_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sgn_opp' 'hl/thm/real/REAL_ABS_SGN_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_glb_lt' 'hl/thm/Library/integer/INT_DIVIDES_ADD_'
0. 'coq/Coq_Sets_Powerset_facts_Intersection_commutative' 'hl/thm/Multivariate/vectors/VECTOR_ADD_SYM_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_nlt' 'hl/thm/arith/NOT_LT_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_lub_lt_iff' 'hl/thm/int/INT_MAX_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_land_m1_l'#@#variant 'hl/thm/arith/MULT_CLAUSES_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ldiff_m1_l'#@#variant 'hl/thm/realarith/REAL_POLY_NEG_CLAUSES_0'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_opp_opp' 'hl/thm/real/REAL_NEG_MUL2_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_id' 'hl/thm/Multivariate/complexes/RE_CX_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_inj_l' 'hl/thm/real/REAL_EQ_RCANCEL_IMP_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_greatest' 'hl/thm/Library/prime/DIVIDES_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_le_compat_r' 'hl/thm/Library/prime/LESS_MONO_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_involutive' 'hl/thm/Multivariate/complexes/COMPLEX_INV_INV_'#@#variant
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_double_plus_one' 'hl/thm/Multivariate/transcendentals/CX_COS_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lt_trichotomy' 'hl/thm/Library/analysis/LESS_LESS_CASES_'
0. 'coq/Coq_Reals_RIneq_Rnot_lt_le' 'hl/thm/realarith/REAL_LTE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_sub_le_add_r' 'hl/thm/real/REAL_LT_SUB_RADD_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_ge' 'hl/thm/int/INT_OF_NUM_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_even_2'#@#variant 'hl/thm/nums/ZERO_DEF_'
0. 'coq/Coq_Arith_PeanoNat_Nat_even_spec' 'hl/thm/Multivariate/complexes/real_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lxor_eq_0_iff' 'hl/thm/int/INT_SUB_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_add_lt_sub_r' 'hl/thm/int/INT_LE_SUB_LADD_'
0. 'coq/Coq_NArith_BinNat_N_gcd_divide_iff' 'hl/thm/int/INT_LT_MIN_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_nle_gt' 'hl/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_NArith_BinNat_N_ge_le_iff' 'hl/thm/realax/real_ge_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sub_succ' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_MUL2_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_1_l'#@#variant 'hl/thm/Library/integer/INT_DIVIDES_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_nonneg'#@#variant 'hl/thm/Library/floor/RATIONAL_INV_EQ_'
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_null'#@#variant 'hl/thm/int/INT_SGN_EQ_1'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_divide' 'hl/thm/realax/NADD_OF_NUM_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_LZERO_'#@#variant
0. 'coq/Coq_Reals_Ratan_atan_increasing' 'hl/thm/Multivariate/vectors/SQRT_MONO_LE_'
0. 'coq/Coq_NArith_BinNat_N_setbit_spec_prime'#@#variant 'hl/thm/realax/real_div_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_bounded/0'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_POS_'#@#variant
0. 'coq/Coq_Reals_R_sqrt_sqrt_le_1_alt' 'hl/thm/Library/transc/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lnot_0_l' 'hl/thm/int/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_pow_0_r'#@#variant 'hl/thm/arith/MOD_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_refl' 'hl/thm/realax/REAL_LE_REFL_'
0. 'coq/Coq_PArith_Pnat_Nat2Pos_inj_pred' 'hl/thm/Complex/complex_transc/CX_CEXP_'
0. 'coq/Coq_Arith_Gt_gt_asym' 'hl/thm/real/REAL_LT_GT_'
0. 'coq/Coq_PArith_Pnat_Nat2Pos_inj_pred' 'hl/thm/Multivariate/transcendentals/CX_TAN_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_ones_equiv'#@#variant 'hl/thm/nums/BIT1_DEF_'
0. 'coq/Coq_NArith_BinNat_N_shiftr_shiftr' 'hl/thm/Library/prime/EXP_EXP_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_move_r' 'hl/thm/real/REAL_EQ_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_lub_iff' 'hl/thm/int/INT_MAX_LT_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_1_l' 'hl/thm/int/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_min_glb_lt' 'hl/thm/Library/prime/DIVIDES_ADD_'
0. 'coq/Coq_PArith_BinPos_Pos_add_succ_r' 'hl/thm/real/REAL_NEG_RMUL_'
0. 'coq/Coq_NArith_BinNat_N_even_1'#@#variant 'hl/thm/Multivariate/complexes/IM_II_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_alt_dichotomy' 'hl/thm/realax/TREAL_LE_TOTAL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_lt_mono_l' 'hl/thm/int/INT_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_mul_r' 'hl/thm/arith/EXP_MULT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_le_mono_l' 'hl/thm/realax/HREAL_LE_MUL_RCANCEL_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_inj_wd' 'hl/thm/Library/prime/CANCEL_TIMES2_'#@#variant
0. 'coq/Coq_Bool_Bool_eqb_true_iff' 'hl/thm/int/INT_SUB_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_opp_opp' 'hl/thm/arith/SUB_SUC_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_divide_mono_l' 'hl/thm/int/INT_LE_LADD_IMP_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_le_lin'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_LE_X_'#@#variant
0. 'coq/Coq_Reals_RIneq_cond_pos'#@#variant 'hl/thm/real/REAL_LE_POW2_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lxor_0_l' 'hl/thm/arith/MULT_CLAUSES_2'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lt_succ_r' 'hl/thm/arith/LT_SUC_LE_'
0. 'coq/Coq_Reals_R_sqrt_sqrt_Rsqr'#@#variant 'hl/thm/Multivariate/transcendentals/EXP_LOG_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_of_Q' 'hl/thm/Library/floor/INT_OF_REAL_OF_INT_'
0. 'coq/Coq_ZArith_BinInt_Z_sgn_nonpos' 'hl/thm/int/INT_SGN_INEQS_5'#@#variant
0. 'coq/Coq_NArith_BinNat_N_gcd_1_r'#@#variant 'hl/thm/realax/HREAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_Arith_Plus_plus_le_lt_compat' 'hl/thm/arith/LET_ADD2_'
0. 'coq/Coq_Arith_Lt_lt_n_S' 'hl/thm/Library/transc/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_le_mono' 'hl/thm/arith/FACT_MONO_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_lcm_l' 'hl/thm/realax/HREAL_LE_ADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_mod' 'hl/thm/arith/MOD_MULT_MOD2_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_divide' 'hl/thm/int/int_lt_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_lt_lin'#@#variant 'hl/thm/Library/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_add_le_sub_r' 'hl/thm/int/INT_LT_ADD_SUB_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_le_mono' 'hl/thm/realax/NADD_INV_WELLDEF_'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_lt_mono_r_iff'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LT_EQ_'#@#variant
0. 'coq/Coq_QArith_QArith_base_inject_Z_opp' 'hl/thm/Complex/complex_transc/CX_CCOS_'
0. 'coq/Coq_ZArith_BinInt_Z_sgn_neg_iff'#@#variant 'hl/thm/int/INT_SGN_EQ_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_divide_mono_l' 'hl/thm/realax/TREAL_LE_LADD_IMP_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_mul_lt_mono_l' 'hl/thm/arith/LE_ADD_LCANCEL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_1_l' 'hl/thm/int/INT_MUL_LID_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ldiff_land' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_opp' 'hl/thm/Multivariate/transcendentals/COS_NEG_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_id' 'hl/thm/Multivariate/vectors/LIFT_DROP_1'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_sin_pos_tech'#@#variant 'hl/thm/Multivariate/transcendentals/SIN_POS_PI_LE_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_lteq' 'hl/thm/realarith/REAL_LE_LT_'
0. 'coq/Coq_Reals_RIneq_Rgt_asym' 'hl/thm/real/REAL_LT_ANTISYM_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_incrbis_aux_equiv' 'hl/thm/Multivariate/transcendentals/ROOT_2_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_le_mono' 'hl/thm/Library/floor/FLOOR_MONO_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_invc' 'hl/thm/Multivariate/transcendentals/CX_COS_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_OT_le_lteq' 'hl/thm/int/INT_LE_LT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_le_mono' 'hl/thm/Multivariate/transcendentals/ATN_MONO_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pred_le_mono' 'hl/thm/Library/transc/ATN_MONO_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_setbit_spec_prime'#@#variant 'hl/thm/int/INT_SUB_'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_constant_not_nul_valid'#@#variant 'hl/thm/Multivariate/realanalysis/POLYNOMIAL_FUNCTION_BERNOULLI_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_pos' 'hl/thm/real/REAL_SGN_INEQS_3'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_le_mono_r' 'hl/thm/int/INT_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_le_mono_r' 'hl/thm/arith/LT_ADD_RCANCEL_'
0. 'coq/Coq_NArith_BinNat_N_mul_shuffle3' 'hl/thm/real/REAL_MUL_AC_2'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_glb_lt' 'hl/thm/Library/prime/DIVIDES_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_pos' 'hl/thm/real/REAL_SGN_INEQS_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_le_mono' 'hl/thm/Library/transc/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Reals_RIneq_Rplus_ge_gt_compat' 'hl/thm/real/REAL_LET_ADD2_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_0_l' 'hl/thm/realax/NADD_LE_0_'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_mult_lt_compat_l'#@#variant 'hl/thm/int/INT_LE_LMUL_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_le_compat_r' 'hl/thm/Library/analysis/LESS_MONO_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_pos_nonneg'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_LT_1_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_pred_le_mono' 'hl/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_odd_1'#@#variant 'hl/thm/nums/ZERO_DEF_'
0. 'coq/Coq_ZArith_BinInt_Z_max_lt_iff' 'hl/thm/int/INT_LT_MAX_'
0. 'coq/Coq_ZArith_BinInt_Z_abs_lt' 'hl/thm/int/INT_BOUNDS_LT_'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_div2' 'hl/thm/Complex/complex_transc/CX_CSIN_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_le_mono_r' 'hl/thm/int/INT_LT_RADD_'
0. 'coq/Coq_PArith_BinPos_Pos_lt_succ_r' 'hl/thm/arith/LT_SUC_LE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div2_double' 'hl/thm/Library/transc/ATN_/2'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_le_compat_r' 'hl/thm/Library/prime/DIVIDES_EXP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_nlt_ge' 'hl/thm/realarith/REAL_NOT_LT_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_le_compat_r' 'hl/thm/Library/prime/DIVIDES_MUL_R_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sub_le_mono_r' 'hl/thm/realax/NADD_LE_RMUL_'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_pred' 'hl/thm/int/int_neg_th_'
0. 'coq/Coq_Reals_SeqProp_CV_plus' 'hl/thm/Library/analysis/SEQ_MUL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_nle' 'hl/thm/Library/analysis/real_le_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_nonneg'#@#variant 'hl/thm/Library/integer/INT_PRIME_ABS_'
0. 'coq/Coq_Reals_RIneq_Rplus_gt_compat_l' 'hl/thm/real/REAL_LT_LADD_IMP_'
0. 'coq/Coq_fourier_Fourier_util_Rle_zero_pos_plus1'#@#variant 'hl/thm/Multivariate/transcendentals/REAL_TAN_'#@#variant
0. 'coq/Coq_Bool_Bool_negb_prop_intro' 'hl/thm/int/INT_LE_NEGTOTAL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_lt_mono_pos_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LT_EQ_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_sub' 'hl/thm/arith/ADD_SUB_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_nonneg_pos'#@#variant 'hl/thm/realarith/REAL_LET_ADD_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pos_pred_succ' 'hl/thm/Multivariate/vectors/LIFT_DROP_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sub_le_mono_r' 'hl/thm/realax/HREAL_LE_MUL_RCANCEL_IMP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lxor_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_1_l'#@#variant 'hl/thm/arith/ADD_CLAUSES_0'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_mul_1_l' 'hl/thm/int/INT_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_2' 'hl/thm/Multivariate/transcendentals/ATN_0_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_le_compat_l' 'hl/thm/Library/integer/INT_DIVIDES_MUL_L_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_lteq' 'hl/thm/int/INT_LE_LT_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_pos_r'#@#variant 'hl/thm/real/REAL_LT_DIV2_EQ_'#@#variant
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_incr' 'hl/thm/Complex/complexnumbers/CX_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_log2_log2_up' 'hl/thm/Multivariate/transcendentals/REAL_EXP_LE_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_null'#@#variant 'hl/thm/real/REAL_SGN_EQ_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_le_mono_l' 'hl/thm/int/INT_LT_LADD_'
0. 'coq/Coq_Init_Peano_plus_n_Sm' 'hl/thm/arith/ADD_SUC_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_sub_lt_add_r' 'hl/thm/int/INT_LE_SUB_LADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_lub_r' 'hl/thm/Library/prime/DIVIDES_LMUL2_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_refl' 'hl/thm/realax/NADD_LE_REFL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lxor_nilpotent' 'hl/thm/real/REAL_SUB_REFL_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_add_1_r' 'hl/thm/arith/ADD1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_le_mono_r' 'hl/thm/int/INT_LE_RADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_pos_fold' 'hl/thm/Multivariate/transcendentals/RPOW_POW_'
0. 'coq/Coq_Reals_RIneq_Rplus_le_compat_r' 'hl/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lxor_lnot_lnot' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_MUL2_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftr_shiftr' 'hl/thm/Library/prime/EXP_EXP_'
0. 'coq/Coq_Arith_Div2_div2_double'#@#variant 'hl/thm/Library/transc/ATN_TAN_'
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_add_cancel_r' 'hl/thm/Complex/cpoly/POLY_DIVIDES_SUB_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_opp_l' 'hl/thm/Multivariate/transcendentals/REAL_INV_RPOW_'
0. 'coq/Coq_NArith_BinNat_N_add_succ_r' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_RMUL_'
0. 'coq/Coq_PArith_BinPos_Pos_mul_xO_r' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_RMUL_'
0. 'coq/Coq_fourier_Fourier_util_Rfourier_eqLR_to_le' 'hl/thm/int/INT_EQ_IMP_LE_'
0. 'coq/Coq_ZArith_BinInt_Z_divide_sub_r' 'hl/thm/Complex/cpoly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_nle_gt' 'hl/thm/arith/NOT_LT_'
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_Rabsolu' 'hl/thm/int/INT_SGN_INT_SGN_'
0. 'coq/Coq_PArith_BinPos_Pos_sub_diag' 'hl/thm/arith/SUB_REFL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_gcd_divide_iff' 'hl/thm/int/INT_LT_MIN_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_cancel_l' 'hl/thm/realax/HREAL_EQ_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_opp_diag_l' 'hl/thm/int/INT_ADD_LINV_'#@#variant
0. 'coq/Coq_QArith_Qpower_Qpower_pos'#@#variant 'hl/thm/real/REAL_POW_LE_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_inj_wd' 'hl/thm/calc_num/ARITH_57'
0. 'coq/Coq_PArith_BinPos_Pos_mul_le_mono_r' 'hl/thm/realax/HREAL_LE_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_add_lt_sub_r' 'hl/thm/int/INT_LT_SUB_RADD_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_is_nonneg'#@#variant 'hl/thm/Library/floor/RATIONAL_NUM_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_eq_mul_0' 'hl/thm/realarith/REAL_ENTIRE_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_mul_l' 'hl/thm/Library/prime/DIVIDES_RMUL_'
0. 'coq/Coq_Reals_Rtrigo1_sin_plus' 'hl/thm/Multivariate/transcendentals/SIN_SUB_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_pos_cancel_l'#@#variant 'hl/thm/Library/floor/INTEGER_ADD_EQ_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_0_r' 'hl/thm/Library/pocklington/ORDER_1_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_square_spec' 'hl/thm/real/REAL_MUL_2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_nlt_ge' 'hl/thm/int/INT_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_lt_iff' 'hl/thm/int/INT_MIN_LE_'
0. 'coq/Coq_ZArith_BinInt_Z_abs_le' 'hl/thm/int/INT_BOUNDS_LT_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_lt_mono_nonneg'#@#variant 'hl/thm/Library/analysis/REAL_LE_MUL2V_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_add_le_sub_r' 'hl/thm/int/INT_LT_SUB_LADD_'
0. 'coq/Coq_Reals_RIneq_cond_pos'#@#variant 'hl/thm/real/REAL_LT_POW2_'#@#variant
0. 'coq/Coq_Reals_Rfunctions_pow_add' 'hl/thm/Library/analysis/POW_ADD_'
0. 'coq/Coq_Reals_RIneq_Rinv_0_lt_compat'#@#variant 'hl/thm/Multivariate/transcendentals/REAL_SIN_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_1_l'#@#variant 'hl/thm/arith/MULT_CLAUSES_2'#@#variant
0. 'coq/Coq_Reals_RIneq_Rgt_asym' 'hl/thm/real/REAL_LT_GT_'
0. 'coq/Coq_Numbers_Natural_BigN_Nbasic_plusnS' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_le_iff' 'hl/thm/real/REAL_LT_MAX_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_even_0' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_factor_r' 'hl/thm/arith/LE_ADDR_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_mul_l' 'hl/thm/Library/integer/INT_DIVIDES_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div2_nonneg'#@#variant 'hl/thm/Library/integer/INT_PRIME_ABS_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_gcd_divide_l' 'hl/thm/Library/analysis/SUB_LESS_EQ_'
0. 'coq/Coq_Reals_Rpower_exp_increasing' 'hl/thm/realax/NADD_INV_WELLDEF_'
0. 'coq/Coq_Classes_DecidableClass_Decidable_eq_bool_obligation_1' 'hl/thm/realarith/REAL_SUB_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lxor_0_l' 'hl/thm/realax/HREAL_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_shuffle3' 'hl/thm/int/INT_ADD_AC_2'
0. 'coq/Coq_ZArith_BinInt_Z_opp_nonneg_nonpos'#@#variant 'hl/thm/real/REAL_NEG_GT0_'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_gt' 'hl/thm/real/REAL_OF_NUM_LT_'
0. 'coq/Coq_Bool_Bool_negb_xorb_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_null'#@#variant 'hl/thm/real/REAL_SGN_EQ_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lcm_diag' 'hl/thm/Library/analysis/REAL_DOUBLE_'#@#variant
0. 'coq/Coq_Reals_RIneq_S_INR' 'hl/thm/Library/analysis/REAL_'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_is_nonneg'#@#variant 'hl/thm/int/INT_POS_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_refl' 'hl/thm/realax/REAL_LE_REFL_'
0. 'coq/Coq_QArith_QArith_base_Qinv_le_0_compat'#@#variant 'hl/thm/real/REAL_LT_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_nge' 'hl/thm/int/INT_NOT_LE_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_pos'#@#variant 'hl/thm/int/INT_SGN_INEQS_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_land' 'hl/thm/Complex/complex_transc/CEXP_SUB_'
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_pos'#@#variant 'hl/thm/Library/pratt/PHI_LOWERBOUND_2_'#@#variant
0. 'coq/Coq_ZArith_Zpow_facts_Zpower_pos_1_l'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_POW_ONE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_glb_lt_iff' 'hl/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_refl' 'hl/thm/Library/poly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_refl' 'hl/thm/realax/NADD_LE_REFL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_cancel_l' 'hl/thm/calc_int/REAL_EQ_ADD_LCANCEL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_refl' 'hl/thm/realax/TREAL_LE_REFL_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mod_1_r'#@#variant 'hl/thm/arith/MOD_1_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lcm_diag' 'hl/thm/Library/analysis/REAL_DOUBLE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_pos_cancel_r'#@#variant 'hl/thm/Library/floor/INTEGER_ADD_EQ_1'
0. 'coq/Coq_QArith_QArith_base_Zle_Qle' 'hl/thm/int/INT_OF_NUM_LT_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_le_mono_r' 'hl/thm/realax/NADD_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_max_l' 'hl/thm/int/INT_MAX_MAX_/0'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_div2'#@#variant 'hl/thm/Library/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_min_glb_lt' 'hl/thm/Library/integer/INT_DIVIDES_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_quot_abs' 'hl/thm/Library/analysis/ABS_DIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_pos_l'#@#variant 'hl/thm/int/INT_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sub_le_mono_r' 'hl/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_lt_lin'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_LE_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_le_mono' 'hl/thm/arith/FACT_MONO_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_le_compat_l' 'hl/thm/realax/TREAL_LE_LADD_IMP_'#@#variant
0. 'coq/Coq_ZArith_Zlogarithm_log_inf_correct1'#@#variant 'hl/thm/Library/floor/RATIONAL_NUM_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_0_r'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_eq_iff'#@#variant 'hl/thm/int/INT_ABS_REFL_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_odd_2' 'hl/thm/Multivariate/complexes/RE_II_'#@#variant
0. 'coq/Coq_Reals_Ratan_atan_increasing' 'hl/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_div2' 'hl/thm/Complex/complexnumbers/CX_INV_'
0. 'coq/Coq_Reals_SeqProp_CV_plus' 'hl/thm/Library/analysis/SEQ_SUB_'
0. 'coq/Coq_Reals_AltSeries_PI_tg_pos'#@#variant 'hl/thm/Multivariate/transcendentals/ARG_/0'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_odd_1' 'hl/thm/Multivariate/complexes/RE_II_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sgn_neg_iff'#@#variant 'hl/thm/real/REAL_SGN_EQ_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_0_r'#@#variant 'hl/thm/arith/EXP_0'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_odd_0' 'hl/thm/Multivariate/complexes/RE_II_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_0_discr' 'hl/thm/nums/IND_SUC_0_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_pos_cancel_l'#@#variant 'hl/thm/Library/floor/INTEGER_SUB_EQ_0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sub_succ_r' 'hl/thm/arith/SUB_1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_lor' 'hl/thm/Library/transc/REAL_EXP_SUB_'
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_pos' 'hl/thm/int/INT_SGN_INEQS_3'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_log2' 'hl/thm/Complex/complexnumbers/CX_INV_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_even_2'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_eq_0_gt_0_cases'#@#variant 'hl/thm/Library/prime/LESS_0_CASES_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_le_compat_l' 'hl/thm/realax/NADD_MUL_WELLDEF_LEMMA_'
0. 'coq/Coq_NArith_BinNat_N_le_max_l' 'hl/thm/arith/LE_ADD_'
0. 'coq/Coq_Reals_Rtrigo1_PI4_RLT_PI2'#@#variant 'hl/thm/Multivariate/transcendentals/PI2_BOUNDS_1'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_mod_idemp_l' 'hl/thm/arith/MOD_MULT_LMOD_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_refl' 'hl/thm/realax/NADD_EQ_REFL_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_opp_norm' 'hl/thm/real/REAL_LE_INV_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_tan_neg' 'hl/thm/int/INT_SGN_NEG_'
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_sub_r' 'hl/thm/Library/prime/DIVIDES_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pred_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_le_mono_l' 'hl/thm/arith/LT_ADD_LCANCEL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_nonpos' 'hl/thm/calc_num/ARITH_60'
0. 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_mult_lt_compat_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LE_'#@#variant
0. 'coq/Coq_NArith_Nnat_Nat2N_id' 'hl/thm/Complex/complexnumbers/complex_tybij_raw_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_land_0_r' 'hl/thm/Library/pocklington/ORDER_1_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rgt_asym' 'hl/thm/int/INT_LT_GT_'
0. 'coq/Coq_Reals_RIneq_Ropp_mult_distr_l' 'hl/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_reg_l' 'hl/thm/realax/HREAL_ADD_LCANCEL_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_incrbis_aux_equiv' 'hl/thm/Library/transc/sqrt_'#@#variant
0. 'coq/Coq_Arith_Lt_lt_pred_n_n'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_LT_X_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_div_pos'#@#variant 'hl/thm/int/INT_LTE_ADD_'#@#variant
0. 'coq/Coq_QArith_QOrderedType_QOrder_not_gt_le' 'hl/thm/realarith/REAL_LET_TOTAL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_refl' 'hl/thm/realax/REAL_LE_REFL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_null'#@#variant 'hl/thm/int/INT_SGN_EQ_2'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_setbit_spec_prime'#@#variant 'hl/thm/realax/real_sub_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_ge' 'hl/thm/real/REAL_OF_NUM_LT_'
0. 'coq/Coq_QArith_Qminmax_Q_max_le_compat_r' 'hl/thm/Library/prime/LESS_MONO_ADD_'
0. 'coq/Coq_Reals_RIneq_Rnot_gt_ge' 'hl/thm/int/INT_LET_TOTAL_'
0. 'coq/Coq_NArith_BinNat_N_add_shuffle3' 'hl/thm/int/INT_MUL_AC_2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lor_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pred_succ' 'hl/thm/arith/PRE_1'
0. 'coq/Coq_ZArith_BinInt_Z_ldiff_m1_r'#@#variant 'hl/thm/arith/EXP_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_lub_l' 'hl/thm/Library/prime/DIVIDES_RMUL2_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lxor_0_l' 'hl/thm/arith/ADD_CLAUSES_0'#@#variant
0. 'coq/Coq_Reals_RIneq_Rplus_ge_compat_r' 'hl/thm/arith/EXP_MONO_LE_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_pos'#@#variant 'hl/thm/Library/transc/LN_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_gcd_divide_r' 'hl/thm/int/INT_MIN_MIN_/1'
0. 'coq/Coq_ZArith_Zeven_Zodd_Sn' 'hl/thm/Library/transc/REAL_EXP_LT_1_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_eq_mul_0' 'hl/thm/arith/MULT_EQ_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_add_lt_sub_r' 'hl/thm/real/REAL_LT_SUB_LADD_'
0. 'coq/Coq_Reals_RIneq_Rmult_le_0_lt_compat'#@#variant 'hl/thm/Library/analysis/REAL_LT_MUL2_ALT_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_opp_pos_neg'#@#variant 'hl/thm/int/INT_NEG_GT0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_l' 'hl/thm/realax/NADD_MUL_WELLDEF_LEMMA_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_1_l'#@#variant 'hl/thm/realax/REAL_MUL_LID_'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_one_neq_zero' 'hl/thm/Multivariate/transcendentals/PI_NZ_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_succ' 'hl/thm/Multivariate/transcendentals/CX_TAN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_shuffle3' 'hl/thm/real/REAL_MAX_ACI_2'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_sub_lt' 'hl/thm/arith/DIV_LT_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_ge_cases' 'hl/thm/int/INT_LTE_TOTAL_'
0. 'coq/Coq_NArith_BinNat_N_log2_up_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_nle_gt' 'hl/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_succ_r' 'hl/thm/int/INT_MUL_RNEG_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_le_iff' 'hl/thm/int/INT_LE_MAX_'
0. 'coq/Coq_ZArith_Zeven_Zodd_Sn' 'hl/thm/Multivariate/transcendentals/LOG_POS_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_le_mono_l' 'hl/thm/int/INT_LE_LADD_'
0. 'coq/Coq_Reals_RIneq_Rinv_0_lt_compat'#@#variant 'hl/thm/Library/transc/SQRT_POS_LT_'#@#variant
0. 'coq/Coq_Reals_Rpower_exp_increasing' 'hl/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_lt_mono_r' 'hl/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_Reals_Rbasic_fun_Rmax_l' 'hl/thm/real/REAL_MAX_MAX_/0'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_cancel_l' 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_ADD_LCANCEL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gt_lt_iff' 'hl/thm/realax/real_ge_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_0_r' 'hl/thm/Library/prime/LESS_EQ_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pred_le_mono' 'hl/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_divide_mono_r' 'hl/thm/Library/prime/DIVIDES_EXP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div2_double' 'hl/thm/Multivariate/transcendentals/CCOS_CACS_'#@#variant
0. 'coq/Coq_ZArith_Zquot_Zquot_opp_opp' 'hl/thm/real/REAL_NEG_MUL2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_max_distr' 'hl/thm/Multivariate/transcendentals/REAL_EXP_ADD_'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_t_rewrite_stable' 'hl/thm/Multivariate/realanalysis/POLYNOMIAL_FUNCTION_BERNOULLI_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_lub_iff' 'hl/thm/int/INT_MAX_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_land' 'hl/thm/Multivariate/transcendentals/REAL_EXP_SUB_'
0. 'coq/Coq_Reals_Ratan_ps_atan_opp' 'hl/thm/int/INT_SGN_NEG_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftl_opp_r' 'hl/thm/int/INT_SUB_'
0. 'coq/Coq_PArith_BinPos_Pos_add_lt_mono_r' 'hl/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_sub' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_TRIANGLE_'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_pred' 'hl/thm/int/int_abs_th_'
0. 'coq/Coq_Reals_RIneq_Rplus_ne/1' 'hl/thm/arith/ADD_CLAUSES_0'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_pos'#@#variant 'hl/thm/Library/integer/INT_PRIME_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_opp_r' 'hl/thm/realax/real_sub_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_opp_r' 'hl/thm/int/INT_SUB_'
0. 'coq/Coq_Arith_Max_le_max_r' 'hl/thm/arith/LE_ADDR_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_inj_wd' 'hl/thm/Library/prime/CANCEL_TIMES2_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_log2_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LT_'
0. 'coq/Coq_NArith_BinNat_N_lcm_divide_iff' 'hl/thm/real/REAL_MAX_LT_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_lub_iff' 'hl/thm/real/REAL_MAX_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_setbit_spec_prime'#@#variant 'hl/thm/int/INT_SUB_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_divide/0' 'hl/thm/int/INT_MIN_MIN_/0'
0. 'coq/Coq_Bool_Bool_negb_xorb_l' 'hl/thm/Multivariate/transcendentals/REAL_ABS_RPOW_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_opp_opp' 'hl/thm/arith/SUB_SUC_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_pos'#@#variant 'hl/thm/int/INT_SGN_INEQS_0'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lnot_lor' 'hl/thm/Complex/complex_transc/CEXP_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_lt' 'hl/thm/real/REAL_ABS_BOUNDS_'
0. 'coq/Coq_ZArith_BinInt_Z_le_sub_le_add_r' 'hl/thm/int/INT_LT_ADD_SUB_'
0. 'coq/Coq_Arith_PeanoNat_Nat_odd_0' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_0_l' 'hl/thm/arith/ADD_CLAUSES_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ldiff_m1_r'#@#variant 'hl/thm/Library/prime/INDEX_1_'#@#variant
0. 'coq/Coq_ZArith_Zsqrt_compat_Zsqrt_plain_is_pos'#@#variant 'hl/thm/Library/floor/RATIONAL_NEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_0_r' 'hl/thm/calc_int/REAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_shuffle3' 'hl/thm/arith/MULT_AC_2'
0. 'coq/Coq_Reals_RList_RList_P1' 'hl/thm/Library/floor/RATIONAL_POW_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_refl' 'hl/thm/realax/REAL_LE_REFL_'
0. 'coq/Coq_fourier_Fourier_util_Rlt_zero_1' 'hl/thm/Library/transc/PI2_BOUNDS_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div2_neg' 'hl/thm/real/REAL_SGN_INEQS_6'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ldiff_land' 'hl/thm/realax/real_div_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_le_mono' 'hl/thm/Multivariate/transcendentals/ATN_MONO_LT_'
0. 'coq/Coq_Reals_Rtopology_compact_P2' 'hl/thm/Multivariate/realanalysis/REAL_NEGLIGIBLE_FINITE_'#@#variant
0. 'coq/Coq_Reals_Rtrigo_def_sin_antisym' 'hl/thm/calc_num/ARITH_6'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_odd_0' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant
0. 'coq/Coq_Reals_Ratan_atan_opp' 'hl/thm/Multivariate/complexes/CNJ_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant
0. 'coq/Coq_Reals_Rtopology_compact_P1' 'hl/thm/Multivariate/realanalysis/REAL_NEGLIGIBLE_FINITE_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_le_refl' 'hl/thm/realax/NADD_EQ_REFL_'
0. 'coq/Coq_NArith_BinNat_N_log2_up_lt_lin'#@#variant 'hl/thm/Library/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_lteq' 'hl/thm/realarith/REAL_LE_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_gt_cases' 'hl/thm/arith/LTE_CASES_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_nonneg' 'hl/thm/Multivariate/transcendentals/ATN_BOUNDS_/0'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_refl' 'hl/thm/Multivariate/misc/GE_REFL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_pred_l' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_succ_r' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_sub_le' 'hl/thm/arith/DIV_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_add_lt_sub_r' 'hl/thm/Library/analysis/SUB_LEFT_GREATER_EQ_'
0. 'coq/Coq_Reals_Rfunctions_pow_le'#@#variant 'hl/thm/Library/floor/INTEGER_POW_'
0. 'coq/Coq_FSets_FSetPositive_PositiveSet_is_empty_1' 'hl/thm/Library/multiplicative/MOBIUS_PRIME_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_pos'#@#variant 'hl/thm/Multivariate/transcendentals/REAL_EXP_LT_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_pos_cancel_l'#@#variant 'hl/thm/real/REAL_LT_MUL_EQ_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_even_opp' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_CNJ_'
0. 'coq/Coq_NArith_BinNat_N_lt_add_lt_sub_r' 'hl/thm/real/REAL_LT_SUB_RADD_'
0. 'coq/Coq_ZArith_Zquot_Zquot_opp_r' 'hl/thm/calc_int/REAL_MUL_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_pos'#@#variant 'hl/thm/Multivariate/complexes/REAL_INV_EQ_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div_mul' 'hl/thm/Complex/complexnumbers/COMPLEX_DIV_RMUL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_abs_0_iff' 'hl/thm/Library/pocklington/PHI_EQ_0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_pos' 'hl/thm/real/REAL_SGN_INEQS_2'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_cos_shift'#@#variant 'hl/thm/Multivariate/transcendentals/SIN_COS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_lub_r' 'hl/thm/Library/integer/INT_DIVIDES_LMUL2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_0_iff' 'hl/thm/int/INT_NEG_EQ_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_nlt' 'hl/thm/int/INT_NOT_LE_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_add_r' 'hl/thm/int/INT_MAX_MAX_/0'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_even_1'#@#variant 'hl/thm/Multivariate/complexes/IM_II_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lxor_nilpotent' 'hl/thm/int/INT_SUB_REFL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_cancel_r' 'hl/thm/calc_int/REAL_EQ_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_double_spec' 'hl/thm/int/INT_SUB_LZERO_'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_le_mono' 'hl/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_lt_mono_r' 'hl/thm/int/INT_LT_RADD_'
0. 'coq/Coq_Arith_Lt_lt_not_le' 'hl/thm/realarith/REAL_LTE_ANTISYM_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_nlt' 'hl/thm/int/INT_LT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_le_mono_l_iff' 'hl/thm/Library/prime/DIVIDES_RMUL2_EQ_'#@#variant
0. 'coq/Coq_Reals_R_sqr_Rsqr_abs' 'hl/thm/Multivariate/transcendentals/COS_ABS_'
0. 'coq/__constr_Coq_Arith_Even_even_0_2' 'hl/thm/Multivariate/transcendentals/LOG_POS_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pred_div2_up' 'hl/thm/Complex/complex_transc/CX_CEXP_'
0. 'coq/Coq_ZArith_BinInt_Z_even_opp' 'hl/thm/Multivariate/complexes/RE_CNJ_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_pos_l'#@#variant 'hl/thm/int/INT_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lcm_eq_0' 'hl/thm/arith/MULT_EQ_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_0_l' 'hl/thm/int/INT_MUL_LID_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_land_diag' 'hl/thm/real/REAL_MIN_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_1_l' 'hl/thm/realarith/REAL_POLY_NEG_CLAUSES_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_odd_1'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_le' 'hl/thm/real/REAL_ABS_BOUNDS_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_gt_cases' 'hl/thm/int/INT_LTE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_le_iff' 'hl/thm/real/REAL_MIN_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lxor_0_l' 'hl/thm/realax/REAL_MUL_LID_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_le_mono' 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_PArith_BinPos_Pos_succ_pred_or' 'hl/thm/Complex/complex_transc/CEXP_CLOG_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_Zpos' 'hl/thm/int/INT_OF_NUM_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_even_1'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant
0. 'coq/Coq_Arith_Max_le_max_r' 'hl/thm/real/REAL_MAX_MAX_/1'
0. 'coq/Coq_ZArith_BinInt_Z_sub_simpl_r' 'hl/thm/int/INT_SUB_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_1_r'#@#variant 'hl/thm/Library/pocklington/ORDER_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_lt_mono_l' 'hl/thm/arith/LE_ADD_LCANCEL_'
0. 'coq/Coq_PArith_BinPos_Pos_pred_double_spec' 'hl/thm/calc_num/ARITH_9'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_le_compat_r' 'hl/thm/arith/EXP_MONO_LE_IMP_'
0. 'coq/Coq_Reals_Rpower_ln_increasing'#@#variant 'hl/thm/Library/transc/SQRT_MONO_LE_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_trichotomy' 'hl/thm/Library/analysis/LESS_LESS_CASES_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_succ_l' 'hl/thm/arith/LE_SUC_LT_'
0. 'coq/Coq_Arith_Plus_le_plus_trans' 'hl/thm/Library/integer/INT_DIVIDES_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_pos'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_POS_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rplus_ge_compat_l' 'hl/thm/Library/prime/DIVIDES_MUL_L_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_even_0' 'hl/thm/nums/ZERO_DEF_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_nonneg_cancel_r'#@#variant 'hl/thm/int/INT_LE_MUL_EQ_1'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qnot_lt_le' 'hl/thm/int/INT_LET_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_simpl_l' 'hl/thm/arith/ADD_SUB2_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_lt' 'hl/thm/realax/HREAL_OF_NUM_LE_'
0. 'coq/Coq_Arith_Factorial_fact_neq_0' 'hl/thm/Complex/complex_transc/CEXP_NONZERO_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_le_iff' 'hl/thm/int/INT_LT_MAX_'
0. 'coq/Coq_ZArith_BinInt_Z_pow_0_r'#@#variant 'hl/thm/Library/prime/INDEX_1_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rge_or_gt' 'hl/thm/arith/LTE_CASES_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_sub_succ_r' 'hl/thm/arith/SUB_1'
0. 'coq/Coq_Reals_Rfunctions_powerRZ_lt'#@#variant 'hl/thm/Library/floor/INTEGER_POW_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_sub_lt_add_r' 'hl/thm/int/INT_LT_ADD_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_pos_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_POS_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_le_compat_l' 'hl/thm/realax/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Reals_RIneq_Ropp_mult_distr_l_reverse' 'hl/thm/Multivariate/transcendentals/RPOW_INV_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_opp_l' 'hl/thm/Multivariate/transcendentals/REAL_ABS_RPOW_'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_succ' 'hl/thm/Multivariate/transcendentals/CX_ATN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_involutive' 'hl/thm/Multivariate/complexes/CNJ_CNJ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_le_mono_nonneg_r'#@#variant 'hl/thm/real/REAL_LT_RMUL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_involutive' 'hl/thm/Complex/complexnumbers/COMPLEX_INV_INV_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pow_inj_r'#@#variant 'hl/thm/real/REAL_LE_LCANCEL_IMP_'#@#variant
0. 'coq/Coq_Reals_Rfunctions_powerRZ_NOR' 'hl/thm/int/INT_POW_NZ_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_succ' 'hl/thm/Multivariate/transcendentals/CX_SIN_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_lt_lin'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_LT_X_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_shuffle3' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_AC_2'
0. 'coq/Coq_QArith_Qreduction_Qred_opp' 'hl/thm/Library/transc/SIN_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_even_sub' 'hl/thm/real/REAL_OF_NUM_SUB_'
0. 'coq/Coq_NArith_BinNat_N_lxor_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_gcd_divide_l' 'hl/thm/real/REAL_MIN_MIN_/0'
0. 'coq/Coq_Init_Peano_plus_Sn_m' 'hl/thm/calc_int/REAL_MUL_LNEG_'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_T_OMEGA12_stable' 'hl/thm/Library/multiplicative/MULTIPLICATIVE_SIGMA_'
0. 'coq/Coq_Arith_PeanoNat_Nat_nle_gt' 'hl/thm/arith/NOT_LT_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_div2' 'hl/thm/Complex/complexnumbers/CX_INV_'
0. 'coq/Coq_ZArith_Zdiv_Z_div_same_full'#@#variant 'hl/thm/arith/DIV_REFL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_refl' 'hl/thm/realax/NADD_EQ_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_add_diag_r' 'hl/thm/arith/LE_ADD_'
0. 'coq/Coq_Reals_Ratan_atan_right_inv' 'hl/thm/Multivariate/transcendentals/CCOS_CACS_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_le_compat_l' 'hl/thm/realax/NADD_LE_LMUL_'
0. 'coq/Coq_ZArith_BinInt_Z_odd_2'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_lt_lin'#@#variant 'hl/thm/Library/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_mul_1_l' 'hl/thm/realax/HREAL_ADD_LID_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_div_same'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_DIV_REFL_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_pos'#@#variant 'hl/thm/Library/floor/INTEGER_NEG_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_Zpos' 'hl/thm/real/REAL_OF_NUM_GT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_cancel_r' 'hl/thm/realax/HREAL_EQ_ADD_RCANCEL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_1_l' 'hl/thm/realarith/REAL_POLY_NEG_CLAUSES_0'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div2_nonneg'#@#variant 'hl/thm/int/INT_SGN_INEQS_0'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lcm_divide_iff' 'hl/thm/real/REAL_MAX_LT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_pos'#@#variant 'hl/thm/Multivariate/transcendentals/REAL_EXP_LT_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_le_mono_pos_r'#@#variant 'hl/thm/real/REAL_LT_RMUL_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_le_mono' 'hl/thm/realax/NADD_INV_WELLDEF_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_land_diag' 'hl/thm/int/INT_MAX_ACI_3'
0. 'coq/Coq_Reals_Rbasic_fun_Rmin_l' 'hl/thm/int/INT_MIN_MIN_/0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_rem_opp_l_prime' 'hl/thm/Multivariate/transcendentals/REAL_INV_RPOW_'
0. 'coq/Coq_QArith_QOrderedType_QOrder_eq_refl' 'hl/thm/realax/NADD_LE_REFL_'
0. 'coq/Coq_Reals_Rpower_sinh_arcsinh' 'hl/thm/Multivariate/transcendentals/CSIN_CASN_'#@#variant
0. 'coq/Coq_ZArith_Znat_Zabs2N_id' 'hl/thm/Complex/complexnumbers/complex_tybij_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_1_l' 'hl/thm/int/INT_NEG_MINUS1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_factor_l' 'hl/thm/int/INT_MAX_MAX_/0'
0. 'coq/Coq_PArith_BinPos_Pos_add_diag' 'hl/thm/arith/MULT_2_'#@#variant
0. 'coq/Coq_Reals_R_sqrt_sqrt_le_1_alt' 'hl/thm/Multivariate/vectors/SQRT_MONO_LE_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_double_size' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_CNJ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_le_iff' 'hl/thm/int/INT_LT_MAX_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_le' 'hl/thm/realax/HREAL_OF_NUM_LE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_le_mono_r'#@#variant 'hl/thm/real/REAL_LT_LMUL_'#@#variant
0. 'coq/Coq_Arith_Gt_gt_n_S' 'hl/thm/Multivariate/vectors/SQRT_MONO_LT_'
0. 'coq/Coq_NArith_BinNat_N_le_lt_trans' 'hl/thm/arith/LET_TRANS_'
0. 'coq/Coq_ZArith_BinInt_Zminus_succ_l' 'hl/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_QArith_QOrderedType_QOrder_eq_refl' 'hl/thm/realax/TREAL_EQ_REFL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_opp_r' 'hl/thm/int/INT_SUB_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_le_mono' 'hl/thm/Library/floor/FLOOR_MONO_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_shuffle3' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_AC_2'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pow_inj_r'#@#variant 'hl/thm/real/REAL_LT_LCANCEL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_lt_iff' 'hl/thm/real/REAL_MIN_LE_'
0. 'coq/Coq_Bool_Bool_orb_false_iff' 'hl/thm/arith/ADD_EQ_0_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_pred_l' 'hl/thm/Multivariate/transcendentals/RPOW_INV_'
0. 'coq/Coq_Arith_PeanoNat_Nat_odd_1'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Zopp_mult_distr_l' 'hl/thm/int/INT_MUL_LNEG_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sub_le_mono_r' 'hl/thm/realax/NADD_LE_RMUL_'
0. 'coq/Coq_Reals_Rtrigo_calc_deg_rad' 'hl/thm/Library/transc/ATN_/2'
0. 'coq/Coq_Arith_Gt_gt_Sn_O' 'hl/thm/Library/transc/COS_BOUNDS_/1'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_sub' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_shuffle3' 'hl/thm/real/REAL_MAX_ACI_2'
0. 'coq/Coq_Arith_PeanoNat_Nat_even_1'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_min_le_iff' 'hl/thm/real/REAL_MIN_LE_'
0. 'coq/Coq_Reals_Rtrigo1_cos_neg' 'hl/thm/Multivariate/vectors/REAL_SGN_SQRT_'
0. 'coq/Coq_QArith_QArith_base_Qinv_lt_0_compat'#@#variant 'hl/thm/Multivariate/complexes/REAL_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_divide_cancel_l' 'hl/thm/Library/integer/INT_DIVIDES_LMUL2_EQ_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sqrt_add_le' 'hl/thm/real/REAL_ABS_TRIANGLE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lcm_eq_0' 'hl/thm/int/INT_ENTIRE_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_1_r'#@#variant 'hl/thm/arith/MULT_0_'#@#variant
0. 'coq/Coq_Reals_R_sqr_Rsqr_incrst_0'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_MONO_LT_REV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_null'#@#variant 'hl/thm/int/INT_SGN_EQ_2'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_refl' 'hl/thm/realax/TREAL_LE_REFL_'#@#variant
0. 'coq/Coq_Reals_Exp_prop_exp_pos_pos'#@#variant 'hl/thm/Multivariate/vectors/SQRT_POS_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_le_mono' 'hl/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_divide_refl' 'hl/thm/realax/TREAL_LE_REFL_'#@#variant
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_div2' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_INV_'
0. 'coq/Coq_NArith_BinNat_N_add_1_l'#@#variant 'hl/thm/int/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_mod_idemp_l' 'hl/thm/arith/MOD_MULT_LMOD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_lt_mono_l' 'hl/thm/realax/NADD_LE_LADD_'
0. 'coq/Coq_Arith_Plus_plus_le_compat_l' 'hl/thm/real/REAL_LT_LADD_IMP_'
0. 'coq/Coq_ZArith_BinInt_Z_abs_pow' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_LMUL_'
0. 'coq/Coq_ZArith_Zorder_Zlt_not_le' 'hl/thm/real/REAL_LET_ANTISYM_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_gt_cases' 'hl/thm/real/REAL_NOT_EQ_'
0. 'coq/Coq_Reals_Rtrigo_calc_sin_3PI2'#@#variant 'hl/thm/Multivariate/transcendentals/COS_PI3_'#@#variant
0. 'coq/Coq_Reals_Ratan_atan_opp' 'hl/thm/real/REAL_ABS_INV_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_le_mono' 'hl/thm/realax/NADD_INV_WELLDEF_'
0. 'coq/Coq_ZArith_BinInt_Z_shiftr_opp_r' 'hl/thm/int/INT_SUB_RNEG_'
0. 'coq/Coq_Reals_ROrderedType_ROrder_TO_lt_total' 'hl/thm/Library/prime/LESS_LESS_CASES_'
0. 'coq/Coq_Reals_RIneq_double_var'#@#variant 'hl/thm/Multivariate/misc/REAL_HALF_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_lt_mono_r'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LE_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_divide_Zpos' 'hl/thm/realax/REAL_OF_NUM_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_le_mono' 'hl/thm/int/INT_LT_NEG2_'
0. 'coq/Coq_NArith_BinNat_N_log2_null'#@#variant 'hl/thm/real/REAL_SGN_EQ_1'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lt_nge' 'hl/thm/int/INT_NOT_LT_'
0. 'coq/Coq_Reals_RIneq_Ropp_0_ge_le_contravar'#@#variant 'hl/thm/Library/pocklington/EVEN_PHI_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_glb' 'hl/thm/Library/integer/INT_DIVIDES_ADD_'
0. 'coq/Coq_PArith_BinPos_Pos_le_refl' 'hl/thm/realax/HREAL_LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ldiff_m1_l'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_cancel_l' 'hl/thm/arith/EQ_ADD_LCANCEL_'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_pred' 'hl/thm/Multivariate/transcendentals/CX_SIN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_sub_lt_add_r' 'hl/thm/int/INT_LT_SUB_LADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_id' 'hl/thm/real/REAL_MIN_ACI_3'
0. 'coq/Coq_Bool_Bool_negb_involutive' 'hl/thm/Multivariate/complexes/COMPLEX_INV_INV_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_le_sub_le_add_r' 'hl/thm/real/REAL_LE_SUB_RADD_'
0. 'coq/Coq_Reals_Rtrigo1_sin_gt_0'#@#variant 'hl/thm/Library/transc/SIN_POS_'#@#variant
0. 'coq/Coq_Reals_Ratan_Ropp_div' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_eq_opp_r' 'hl/thm/real/REAL_NEG_EQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lxor_eq_0_iff' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_0_'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_1'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sub_diag' 'hl/thm/arith/SUB_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_id' 'hl/thm/int/INT_MIN_ACI_3'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_lnot_diag'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_RINV_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_mul_le_mono_l' 'hl/thm/realax/HREAL_LE_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_lt_mono_l' 'hl/thm/arith/LE_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_0_r' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_nonneg'#@#variant 'hl/thm/Library/transc/ATN_POS_LT_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_Zpos' 'hl/thm/realax/HREAL_OF_NUM_LE_'
0. 'coq/Coq_NArith_BinNat_N_lt_0_mul_prime'#@#variant 'hl/thm/arith/LT_MULT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sub_le_mono_r' 'hl/thm/Library/prime/LESS_MONO_ADD_'
0. 'coq/Coq_NArith_BinNat_N_log2_up_lt_lin'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_LE_X_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_max_id' 'hl/thm/real/REAL_MAX_ACI_3'
0. 'coq/Coq_Reals_RIneq_Rplus_le_lt_0_compat'#@#variant 'hl/thm/realarith/REAL_LET_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_pos_r'#@#variant 'hl/thm/real/REAL_LT_DIV2_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_le_lin'#@#variant 'hl/thm/Library/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_1_l' 'hl/thm/realax/HREAL_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_cancel_r' 'hl/thm/realax/HREAL_EQ_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_lt_lin'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_LT_X_'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qcmult_inv_l'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LINV_'#@#variant
0. 'coq/Coq_Init_Peano_plus_Sn_m' 'hl/thm/int/INT_NEG_LMUL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_opp' 'hl/thm/Library/transc/TAN_NEG_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_le_lin'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_LE_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_odd_spec' 'hl/thm/Multivariate/complexes/real_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_eq_opp_l' 'hl/thm/real/REAL_NEG_EQ_'
0. 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_le_lt_int' 'hl/thm/arith/LT_SUC_LE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_lt_mono_l' 'hl/thm/realax/NADD_LE_LADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_add_distr' 'hl/thm/Library/prime/EXP_EXP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lxor_nilpotent' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_REFL_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_shuffle3' 'hl/thm/realax/HREAL_ADD_AC_2'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_id' 'hl/thm/real/REAL_MIN_ACI_3'
0. 'coq/Coq_ZArith_BinInt_Z_lor_eq_0_iff' 'hl/thm/arith/MULT_EQ_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div2_double' 'hl/thm/Multivariate/transcendentals/CCOS_CACS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_lt_mono_l' 'hl/thm/int/INT_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_pos'#@#variant 'hl/thm/Library/transc/REAL_EXP_LT_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_max_r' 'hl/thm/int/INT_MAX_MAX_/1'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mod_1_r'#@#variant 'hl/thm/Library/prime/INDEX_1_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_involutive' 'hl/thm/int/INT_ABS_ABS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_eq_0_gt_0_cases'#@#variant 'hl/thm/Library/analysis/LESS_0_CASES_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_id' 'hl/thm/int/INT_MIN_ACI_3'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_odd_2'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant
0. 'coq/Coq_ZArith_Zeven_Zeven_bool_iff' 'hl/thm/Multivariate/complexes/real_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_sub_le_add_r' 'hl/thm/int/INT_LT_ADD_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_add_lt_sub_r' 'hl/thm/int/INT_LT_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_opp' 'hl/thm/Multivariate/vectors/REAL_SGN_SQRT_'
0. 'coq/Coq_ZArith_BinInt_Z_sgn_null_iff' 'hl/thm/int/INT_SGN_INEQS_9'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_clearbit_spec_prime'#@#variant 'hl/thm/realax/real_sub_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_pos'#@#variant 'hl/thm/Library/transc/ATN_POS_LT_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_null'#@#variant 'hl/thm/int/INT_SGN_EQ_2'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_lub_iff' 'hl/thm/real/REAL_MAX_LT_'
0. 'coq/Coq_Reals_Rtrigo1_sin_pos_tech'#@#variant 'hl/thm/Multivariate/transcendentals/SIN_POS_PI2_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_le_mono_r' 'hl/thm/int/INT_LE_RADD_'
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_r' 'hl/thm/arith/EXP_MONO_LE_IMP_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_lt_add_r' 'hl/thm/Library/integer/INT_DIVIDES_RMUL_'
0. 'coq/Coq_NArith_BinNat_N_min_le_compat_l' 'hl/thm/Library/prime/DIVIDES_MUL_L_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_le_compat_r' 'hl/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_le_mono_l' 'hl/thm/real/REAL_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_neq_0_succ' 'hl/thm/Multivariate/transcendentals/REAL_EXP_NZ_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rinv_neq_0_compat' 'hl/thm/Library/analysis/REAL_INV_NZ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_1_l'#@#variant 'hl/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_succ_l' 'hl/thm/Multivariate/transcendentals/REAL_INV_RPOW_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_nonneg'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_POS_LT_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_log2_le_mono' 'hl/thm/Multivariate/transcendentals/ATN_MONO_LT_'
0. 'coq/Coq_Arith_PeanoNat_Nat_div2_div'#@#variant 'hl/thm/arith/ADD1_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_sub_lt_add_r' 'hl/thm/int/INT_LE_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_le_compat_l' 'hl/thm/int/INT_LE_LADD_IMP_'
0. 'coq/Coq_Reals_R_sqrt_sqrt_positivity'#@#variant 'hl/thm/real/REAL_LT_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_setbit_spec_prime'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_sub_r' 'hl/thm/Complex/cpoly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_mul_assoc' 'hl/thm/realax/NADD_ADD_ASSOC_'
0. 'coq/Coq_Arith_Plus_plus_le_compat_l' 'hl/thm/int/INT_LE_LADD_IMP_'
0. 'coq/Coq_Reals_Raxioms_Rmult_lt_compat_l'#@#variant 'hl/thm/int/INT_LE_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_0_r' 'hl/thm/Library/integer/INT_DIVIDES_0_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_lt_mono_r' 'hl/thm/arith/LE_ADD_RCANCEL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_inj_wd' 'hl/thm/nums/IND_SUC_INJ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mod_0_l' 'hl/thm/arith/DIV_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_le_iff' 'hl/thm/int/INT_MIN_LT_'
0. 'coq/Coq_NArith_BinNat_N_add_succ_r' 'hl/thm/int/INT_MUL_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_null'#@#variant 'hl/thm/real/REAL_SGN_EQ_1'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_odd_1'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_mul_xO_r' 'hl/thm/int/INT_MUL_RNEG_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_1_mul_pos'#@#variant 'hl/thm/realarith/REAL_LTE_ADD_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rmult_lt_compat_r'#@#variant 'hl/thm/Library/analysis/REAL_LE_RMUL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_mod_idemp_r' 'hl/thm/arith/MOD_MULT_RMOD_'#@#variant
0. 'coq/Coq_Reals_Raxioms_Rplus_lt_compat_l' 'hl/thm/Library/integer/INT_DIVIDES_MUL_L_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_1_r' 'hl/thm/arith/SUB_0'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_succ' 'hl/thm/Multivariate/complexes/IM_CNJ_'#@#variant
0. 'coq/Coq_Reals_Rfunctions_poly'#@#variant 'hl/thm/Library/analysis/POW_PLUS1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_lt_mono_r_iff'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LE_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_succ_l' 'hl/thm/Multivariate/transcendentals/REAL_INV_RPOW_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_le_mono_nonneg_r'#@#variant 'hl/thm/int/INT_LE_RMUL_'#@#variant
0. 'coq/Coq_Arith_Mult_mult_lt_compat_l'#@#variant 'hl/thm/Library/analysis/REAL_LT_LMUL_IMP_'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Topp_plus_stable' 'hl/thm/Library/multiplicative/MULTIPLICATIVE_TAU_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_pred' 'hl/thm/Complex/complex_transc/CEXP_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_le_mono_r' 'hl/thm/arith/LE_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_nle' 'hl/thm/realarith/REAL_NOT_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_succ_inj_wd' 'hl/thm/Multivariate/vectors/SQRT_INJ_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_total' 'hl/thm/Library/analysis/LESS_LESS_CASES_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_lnot_diag'#@#variant 'hl/thm/int/INT_ADD_RINV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftl_opp_r' 'hl/thm/realax/real_sub_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_setbit_spec_prime'#@#variant 'hl/thm/real/REAL_SUB_RNEG_'
0. 'coq/Coq_QArith_Qcanon_Qcopp_involutive' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_NEG_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_xO_r' 'hl/thm/arith/ADD_SUC_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_opp' 'hl/thm/Multivariate/transcendentals/SIN_NEG_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_l' 'hl/thm/realax/NADD_LE_LMUL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_odd_0' 'hl/thm/Multivariate/complexes/RE_II_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_0_r' 'hl/thm/realax/HREAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_QArith_Qreduction_Qred_correct' 'hl/thm/Library/pratt/PHI_LIMIT_'
0. 'coq/Coq_ZArith_BinInt_Z_abs_nonneg' 'hl/thm/Multivariate/transcendentals/ATN_BOUNDS_/0'#@#variant
0. 'coq/Coq_NArith_BinNat_N_setbit_spec_prime'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_RNEG_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_le_compat_l' 'hl/thm/realax/TREAL_LE_LADD_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_double_spec' 'hl/thm/int/INT_SUB_LZERO_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_even' 'hl/thm/int/int_of_num_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_eq_0' 'hl/thm/real/REAL_DIV_EQ_0_'#@#variant
0. 'coq/Coq_Arith_Max_le_max_l' 'hl/thm/realax/HREAL_LE_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_rem_opp_l_prime' 'hl/thm/Multivariate/transcendentals/RPOW_INV_'
0. 'coq/Coq_Lists_List_Forall_impl' 'hl/thm/Multivariate/metric/EVENTUALLY_MONO_'
0. 'coq/Coq_Bool_Bool_andb_false_r' 'hl/thm/int/INT_MUL_RZERO_'#@#variant
0. 'coq/Coq_Numbers_Cyclic_DoubleCyclic_DoubleBase_wwB_pos'#@#variant 'hl/thm/Multivariate/complexes/RE_CSQRT_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_divide_mono_r' 'hl/thm/Library/prime/DIVIDES_MUL_R_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_pos_nonneg'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_LE_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_lxor_r' 'hl/thm/int/INT_NEG_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pred_div2_up' 'hl/thm/Multivariate/complexes/CX_INV_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_glb_iff' 'hl/thm/int/INT_LT_MIN_'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_double'#@#variant 'hl/thm/Complex/complexnumbers/CX_INV_'
0. 'coq/Coq_QArith_QArith_base_Qmult_assoc' 'hl/thm/realax/NADD_ADD_ASSOC_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_add_le' 'hl/thm/real/REAL_ABS_TRIANGLE_'
0. 'coq/Coq_ZArith_BinInt_Z_sgn_opp' 'hl/thm/Complex/complexnumbers/CNJ_NEG_'
0. 'coq/Coq_ZArith_BinInt_Z2Pos_inj_sqrt' 'hl/thm/Complex/complex_transc/CX_CSIN_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lnot_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_nonneg_cancel_r'#@#variant 'hl/thm/int/INT_LE_MUL_EQ_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_le_mono_l' 'hl/thm/Library/prime/DIVIDES_EXP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_le_compat_l' 'hl/thm/realax/TREAL_LE_LADD_IMP_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_succ' 'hl/thm/int/int_sgn_th_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_lt_mono_r' 'hl/thm/int/INT_LT_RADD_'
0. 'coq/Coq_NArith_BinNat_N_pow_le_mono_r_iff'#@#variant 'hl/thm/Library/analysis/REAL_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_sin_pos_tech'#@#variant 'hl/thm/Library/transc/SIN_POS_PI2_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_le_mono_l' 'hl/thm/arith/LT_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LE_'
0. 'coq/Coq_NArith_BinNat_N_lt_succ_diag_r' 'hl/thm/Library/analysis/LESS_EQ_SUC_REFL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_square_spec' 'hl/thm/Library/analysis/REAL_DOUBLE_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gt_lt_iff' 'hl/thm/int/INT_GT_'
0. 'coq/Coq_Reals_SeqProp_CV_mult' 'hl/thm/Library/analysis/SER_ADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftr_div_pow2'#@#variant 'hl/thm/int/INT_SUB_RNEG_'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_lt_mono_l' 'hl/thm/arith/DIV_MONO_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_1_succ' 'hl/thm/Multivariate/transcendentals/ATN_BOUNDS_/0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_double'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_INV_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_simpl_r' 'hl/thm/real/REAL_SUB_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_neg'#@#variant 'hl/thm/real/REAL_NEG_LE0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_land_m1_l'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_even_0' 'hl/thm/nums/ZERO_DEF_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_succ_diag_r' 'hl/thm/real/REAL_ABS_LE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_refl' 'hl/thm/arith/LE_REFL_'
0. 'coq/Coq_NArith_BinNat_N_mul_shuffle3' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_AC_2'
0. 'coq/Coq_ZArith_BinInt_Z_add_1_r'#@#variant 'hl/thm/arith/ADD1_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_divide/1' 'hl/thm/Library/prime/INDEX_TRIVIAL_BOUND_'
0. 'coq/Coq_NArith_Ndist_ni_le_min_2' 'hl/thm/Library/prime/INDEX_TRIVIAL_BOUND_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_pred_l' 'hl/thm/Library/pocklington/PHI_LIMIT_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_le_mono_l' 'hl/thm/arith/LE_ADD_LCANCEL_'
0. 'coq/Coq_Lists_List_app_assoc_reverse' 'hl/thm/Multivariate/vectors/VECTOR_ADD_ASSOC_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_min_glb_lt' 'hl/thm/Library/prime/DIVIDES_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_refl' 'hl/thm/realax/HREAL_LE_REFL_'
0. 'coq/Coq_NArith_BinNat_N_pred_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_sub_le_add_r' 'hl/thm/int/INT_LT_SUB_LADD_'
0. 'coq/Coq_QArith_QOrderedType_QOrder_eq_lt' 'hl/thm/realarith/REAL_LET_TRANS_'
0. 'coq/Coq_ZArith_Zorder_Zmult_lt_0_le_compat_r'#@#variant 'hl/thm/Library/analysis/REAL_LE_RMUL_IMP_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_sub_le_add_r' 'hl/thm/int/INT_LE_SUB_LADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_succ_r' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RNEG_'
0. 'coq/Coq_Arith_Max_max_idempotent' 'hl/thm/int/INT_MIN_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_move_r' 'hl/thm/int/INT_EQ_SUB_LADD_'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tmult_plus_distr_stable' 'hl/thm/Library/multiplicative/MULTIPLICATIVE_PHI_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_0_iff' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_EQ_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lcm_divide_iff' 'hl/thm/int/INT_MAX_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pred_succ' 'hl/thm/Multivariate/transcendentals/ATN_TAN_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ldiff_m1_l'#@#variant 'hl/thm/int/INT_NEG_MINUS1_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_le_mono_l' 'hl/thm/arith/LE_ADD_LCANCEL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_lt_mono_l' 'hl/thm/real/REAL_LE_LADD_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_lt' 'hl/thm/int/int_le_'
0. 'coq/Coq_ZArith_BinInt_Z_succ_inj_wd' 'hl/thm/Library/transc/REAL_EXP_INJ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_pred_l' 'hl/thm/Library/pocklington/PHI_LIMIT_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_le_mono' 'hl/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_ldiff_diag' 'hl/thm/int/INT_SUB_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_succ_diag_r' 'hl/thm/Library/analysis/LESS_SUC_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lcm_eq_0' 'hl/thm/Complex/complexnumbers/COMPLEX_ENTIRE_'#@#variant
0. 'coq/Coq_Bool_Bool_andb_negb_r' 'hl/thm/calc_int/REAL_ADD_RINV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_succ_diag_r' 'hl/thm/Library/analysis/LESS_EQ_SUC_REFL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_divide_mul_l' 'hl/thm/Library/prime/DIVIDES_RMUL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_1_mul_pos'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_LT_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_min_l' 'hl/thm/Library/analysis/SUB_LESS_EQ_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_lub_iff' 'hl/thm/int/INT_MAX_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_eq_add_0' 'hl/thm/arith/MULT_EQ_1_'#@#variant
0. 'coq/Coq_ZArith_Znat_Z2N_inj_pred' 'hl/thm/Multivariate/transcendentals/CX_ATN_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_succ_r' 'hl/thm/arith/LT_SUC_LE_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_le_iff' 'hl/thm/real/REAL_MIN_LE_'
0. 'coq/Coq_NArith_BinNat_N_sqrt_le_mono' 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_NArith_BinNat_N_succ_pos_spec' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_CX_'
0. 'coq/Coq_Arith_Factorial_fact_le' 'hl/thm/Library/transc/ATN_MONO_LT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_inj_wd' 'hl/thm/Library/prime/CANCEL_TIMES2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_pos_cancel_l'#@#variant 'hl/thm/Library/floor/INTEGER_SUB_EQ_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_0_r' 'hl/thm/calc_int/REAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_ZArith_Znat_Z2Nat_inj_0' 'hl/thm/Multivariate/complexes/IM_II_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_nonneg'#@#variant 'hl/thm/Library/analysis/REAL_LT_MUL2_ALT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_1_l' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_MINUS1_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_pos'#@#variant 'hl/thm/Library/floor/FLOOR_POS_LE_'#@#variant
0. 'coq/Coq_Bool_Bool_negb_xorb_l' 'hl/thm/calc_int/REAL_MUL_LNEG_'
0. 'coq/Coq_ZArith_Zorder_Zplus_le_compat_l' 'hl/thm/realax/NADD_MUL_WELLDEF_LEMMA_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_lt_mono_pos_l'#@#variant 'hl/thm/int/INT_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_Arith_Gt_gt_Sn_O' 'hl/thm/Multivariate/transcendentals/SIN_BOUNDS_/1'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_ngt' 'hl/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lxor_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_succ_l' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_LMUL_'
0. 'coq/Coq_Reals_Rfunctions_powerRZ_NOR' 'hl/thm/real/REAL_POW_NZ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_glb_lt_iff' 'hl/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_nonneg_l'#@#variant 'hl/thm/real/REAL_LE_LMUL_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_le_mono_l' 'hl/thm/int/INT_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_setbit_spec_prime'#@#variant 'hl/thm/realax/real_sub_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_refl' 'hl/thm/realax/NADD_EQ_REFL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_le_mono_l' 'hl/thm/real/REAL_LE_LADD_'
0. 'coq/Coq_ZArith_BinInt_Z_add_mod' 'hl/thm/arith/MOD_ADD_MOD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_mul_below' 'hl/thm/int/INT_SUB_ABS_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_pos'#@#variant 'hl/thm/Library/pratt/PHI_LOWERBOUND_1_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_setbit_spec_prime'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_RNEG_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_clearbit_spec_prime'#@#variant 'hl/thm/real/REAL_SUB_RNEG_'
0. 'coq/Coq_Reals_RIneq_double'#@#variant 'hl/thm/Library/analysis/REAL_DOUBLE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_move_r' 'hl/thm/real/REAL_EQ_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_divide_mono_l' 'hl/thm/real/REAL_LT_LADD_IMP_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_le_mono_r_iff'#@#variant 'hl/thm/Library/analysis/REAL_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_gt_cases' 'hl/thm/int/INT_LTE_TOTAL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_refl' 'hl/thm/Complex/cpoly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_Sets_Uniset_leb_refl' 'hl/thm/Complex/cpoly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pow_le_mono_r_iff'#@#variant 'hl/thm/real/REAL_LE_LMUL_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div_small_iff' 'hl/thm/arith/DIV_EQ_0_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_le_min_r' 'hl/thm/real/REAL_MIN_MIN_/1'
0. 'coq/Coq_QArith_Qcanon_Qclt_not_le' 'hl/thm/arith/LET_ANTISYM_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_succ_l' 'hl/thm/int/INT_MUL_LNEG_'
0. 'coq/Coq_QArith_QOrderedType_QOrder_eq_le' 'hl/thm/realarith/REAL_LET_TRANS_'
0. 'coq/Coq_QArith_QArith_base_Qle_refl' 'hl/thm/realax/HREAL_LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lor_0_l' 'hl/thm/realax/HREAL_ADD_LID_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_opp_le_mono' 'hl/thm/real/REAL_LT_NEG_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_nonneg_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_move_r' 'hl/thm/real/REAL_EQ_SUB_LADD_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_glb_lt' 'hl/thm/Library/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_gcd_divide_iff' 'hl/thm/int/INT_LE_MIN_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_div_1_r' 'hl/thm/arith/SUB_0'
0. 'coq/Coq_NArith_BinNat_N_nle_gt' 'hl/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_Reals_RIneq_opp_IZR' 'hl/thm/int/int_sgn_th_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_pos'#@#variant 'hl/thm/Library/transc/REAL_EXP_LT_1_'#@#variant
0. 'coq/Coq_Bool_Bool_andb_false_r' 'hl/thm/arith/MULT_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_lt_mono_r' 'hl/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_rem_divide' 'hl/thm/Library/prime/DIVIDES_MOD_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_max_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_asymm' 'hl/thm/int/INT_LT_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ldiff_land' 'hl/thm/int/INT_SUB_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_le_iff' 'hl/thm/real/REAL_LT_MAX_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lcm_1_l' 'hl/thm/arith/ADD_CLAUSES_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_le_mono' 'hl/thm/realax/NADD_INV_WELLDEF_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_le_mono' 'hl/thm/Multivariate/transcendentals/ATN_MONO_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lcm_divide_iff' 'hl/thm/int/INT_MAX_LT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_pos'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_POS_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_pow2'#@#variant 'hl/thm/Multivariate/transcendentals/EXP_LOG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_move_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_RNEG_UNIQ_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_lt_mono_pos_r'#@#variant 'hl/thm/real/REAL_LT_DIV2_EQ_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_even_1'#@#variant 'hl/thm/Multivariate/complexes/RE_II_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_le_min_l' 'hl/thm/int/INT_MIN_MIN_/0'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_succ_diag_r' 'hl/thm/Library/analysis/LESS_EQ_SUC_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_min_r' 'hl/thm/int/INT_MIN_MIN_/1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_sub_le_add_r' 'hl/thm/real/REAL_LT_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_cancel_l' 'hl/thm/arith/EQ_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_0_l' 'hl/thm/Library/prime/DIVIDES_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_nlt_ge' 'hl/thm/realax/real_lt_'
0. 'coq/Coq_ZArith_Zlogarithm_log_inf_correct1'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_POS_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_of_Qc_bis' 'hl/thm/Multivariate/transcendentals/ARG_/0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_le_mono' 'hl/thm/int/INT_LT_NEG2_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lxor_0_l' 'hl/thm/int/INT_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_pos' 'hl/thm/calc_num/ARITH_72'
0. 'coq/Coq_Reals_RIneq_Rle_refl' 'hl/thm/realax/NADD_EQ_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_add_0_l' 'hl/thm/realax/HREAL_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_succ_diag_r' 'hl/thm/int/INT_ABS_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_rem_1_r'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_le_iff' 'hl/thm/int/INT_MIN_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_lt_mono_l' 'hl/thm/realax/NADD_LE_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_r' 'hl/thm/Library/prime/DIVIDES_EXP_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_even_2' 'hl/thm/nums/ZERO_DEF_'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_null'#@#variant 'hl/thm/int/INT_SGN_EQ_1'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_pred_succ' 'hl/thm/Multivariate/transcendentals/LOG_EXP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_id' 'hl/thm/int/INT_MIN_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_neq_0_succ' 'hl/thm/Library/transc/REAL_EXP_NZ_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_shuffle3' 'hl/thm/real/REAL_MAX_ACI_2'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_even_1' 'hl/thm/nums/ZERO_DEF_'
0. 'coq/Coq_NArith_Ndist_ni_le_refl' 'hl/thm/realax/REAL_LE_REFL_'
0. 'coq/Coq_Reals_RIneq_Ropp_div' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LNEG_'
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_divide/1' 'hl/thm/real/REAL_MIN_MIN_/1'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_0_r' 'hl/thm/Library/pocklington/ORDER_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_glb_lt_iff' 'hl/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_nlt_ge' 'hl/thm/arith/NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_inj_wd' 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_NEG2_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_succ_diag_r' 'hl/thm/Library/analysis/LESS_EQ_SUC_REFL_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_even_0' 'hl/thm/nums/ZERO_DEF_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_lt_iff' 'hl/thm/int/INT_MIN_LT_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_sqrt' 'hl/thm/Complex/complex_transc/CX_CCOS_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_land_0_r' 'hl/thm/arith/MULT_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mod_1_r'#@#variant 'hl/thm/arith/MOD_1_'#@#variant
0. 'coq/Coq_ZArith_Zeven_Zquot2_opp' 'hl/thm/Multivariate/transcendentals/CNJ_CTAN_'#@#variant
0. 'coq/Coq_Reals_RIneq_double'#@#variant 'hl/thm/arith/MULT_2_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_nonneg_cancel_l'#@#variant 'hl/thm/real/REAL_LE_MUL_EQ_0'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_eq_0' 'hl/thm/real/REAL_DIV_EQ_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_nonneg'#@#variant 'hl/thm/Multivariate/complexes/REAL_INV_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_odd_2'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_shuffle3' 'hl/thm/Multivariate/complexes/COMPLEX_MUL_AC_2'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sgn_opp' 'hl/thm/Multivariate/transcendentals/ATN_NEG_'
0. 'coq/Coq_NArith_BinNat_N_max_lt_iff' 'hl/thm/int/INT_LE_MAX_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_even_1'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_clearbit_spec_prime'#@#variant 'hl/thm/realax/real_sub_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_gt_lt_iff' 'hl/thm/realax/real_ge_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_succ_diag_r' 'hl/thm/arith/LT_POW2_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_shuffle3' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_AC_2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_pos_neg'#@#variant 'hl/thm/int/INT_NEG_GE0_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_id' 'hl/thm/Complex/complexnumbers/complex_tybij_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_even_0' 'hl/thm/Multivariate/complexes/IM_II_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_triangle' 'hl/thm/int/INT_ABS_TRIANGLE_'
0. 'coq/Coq_NArith_BinNat_N_le_sub_le_add_r' 'hl/thm/int/INT_LE_SUB_LADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_pred_l' 'hl/thm/Library/pocklington/PHI_LIMIT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_le_mono_r' 'hl/thm/realax/HREAL_LE_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_id' 'hl/thm/int/INT_MIN_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_neg'#@#variant 'hl/thm/int/INT_NEG_LT0_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_le_compat_l' 'hl/thm/int/INT_LE_LADD_IMP_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_gt' 'hl/thm/realax/HREAL_OF_NUM_LE_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_1_l' 'hl/thm/realax/NADD_LE_0_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_0' 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_pos'#@#variant 'hl/thm/Library/transc/ATN_POS_LE_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_le_lin'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_involutive' 'hl/thm/real/REAL_INV_INV_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pow_le_mono_l' 'hl/thm/realax/NADD_LE_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lxor_0_l' 'hl/thm/realax/REAL_ADD_LID_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_nonneg'#@#variant 'hl/thm/Library/analysis/REAL_LE_MUL2V_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lxor_0_l' 'hl/thm/int/INT_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_factor_l' 'hl/thm/realax/HREAL_LE_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_le_lin'#@#variant 'hl/thm/Library/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lxor_m1_l'#@#variant 'hl/thm/int/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_Bool_Bool_negb_xorb_l' 'hl/thm/int/INT_MUL_LNEG_'
0. 'coq/Coq_ZArith_BinInt_Z_pred_inj_wd' 'hl/thm/calc_num/ARITH_57'
0. 'coq/Coq_NArith_BinNat_N_shiftr_succ_r' 'hl/thm/Multivariate/transcendentals/RPOW_NEG_'
0. 'coq/Coq_Reals_RIneq_Ropp_minus_distr' 'hl/thm/Multivariate/complexes/COMPLEX_INV_DIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_odd_0' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_lt_mono_pos_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LE_EQ_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_div2_nonneg' 'hl/thm/int/INT_SGN_INEQS_2'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_le_mono' 'hl/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_ngt' 'hl/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_le_compat_l' 'hl/thm/realax/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_shuffle3' 'hl/thm/int/INT_MUL_AC_2'
0. 'coq/Coq_Reals_RIneq_Rmult_le_0_lt_compat'#@#variant 'hl/thm/real/REAL_LT_MUL2_'#@#variant
0. 'coq/Coq_Bool_Bool_negb_xorb_l' 'hl/thm/int/INT_NEG_LMUL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_lt_mono_pos_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LT_EQ_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_succ_l' 'hl/thm/Multivariate/transcendentals/RPOW_INV_'
0. 'coq/Coq_PArith_BinPos_Pos_mul_le_mono_r' 'hl/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_scalar_norm_add_stable' 'hl/thm/Multivariate/realanalysis/POLYNOMIAL_FUNCTION_BERNOULLI_'
0. 'coq/Coq_PArith_Pnat_SuccNat2Pos_inj_iff' 'hl/thm/Multivariate/complexes/CX_INJ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lnot_ones' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LINV_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_le_sub_le_add_r' 'hl/thm/real/REAL_LE_SUB_LADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_trichotomy' 'hl/thm/Library/analysis/LESS_CASES_IMP_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_norm_pos' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_CNJ_'
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_pos'#@#variant 'hl/thm/Library/floor/RATIONAL_INV_EQ_'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_lt_not_gt' 'hl/thm/real/REAL_LT_GT_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_refl' 'hl/thm/realax/REAL_LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_max_r' 'hl/thm/int/INT_MAX_MAX_/1'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_le_lin'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_LE_X_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_refl' 'hl/thm/realax/TREAL_LE_REFL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_odd_0' 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rlt_not_le' 'hl/thm/arith/LTE_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_odd_2'#@#variant 'hl/thm/Multivariate/complexes/IM_II_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_succ_inj_wd' 'hl/thm/Multivariate/vectors/SQRT_INJ_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftr_div_pow2'#@#variant 'hl/thm/realax/real_div_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_of_Qc_bis' 'hl/thm/Library/floor/RATIONAL_NUM_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_pos'#@#variant 'hl/thm/Library/transc/LN_POS_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_divide_factor_l' 'hl/thm/realax/NADD_LE_ADD_'
0. 'coq/Coq_PArith_BinPos_Pos_le_nlt' 'hl/thm/int/INT_NOT_LT_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_le_lin'#@#variant 'hl/thm/Library/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_cancel_r' 'hl/thm/arith/EQ_ADD_RCANCEL_'
0. 'coq/Coq_NArith_BinNat_N_lt_lt_add_l' 'hl/thm/Library/prime/DIVIDES_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_gcd_greatest' 'hl/thm/Complex/cpoly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_le_iff' 'hl/thm/real/REAL_MIN_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_lt_mono_r' 'hl/thm/arith/LT_ADD_RCANCEL_'
0. 'coq/Coq_Reals_Rtopology_open_set_P3' 'hl/thm/Multivariate/realanalysis/REAL_MEASURABLE_INTER_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_nlt_1_r' 'hl/thm/Library/analysis/NOT_LESS_0_'#@#variant
0. 'coq/Coq_ZArith_Znat_Zabs2Nat_inj_0' 'hl/thm/Multivariate/complexes/RE_II_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_le_compat_r' 'hl/thm/Library/prime/DIVIDES_EXP_'
0. 'coq/Coq_Reals_Rtopology_open_set_P2' 'hl/thm/Multivariate/realanalysis/REAL_MEASURABLE_INTER_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_lt_mono_r' 'hl/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_le_iff' 'hl/thm/int/INT_LE_MAX_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_le_compat_r' 'hl/thm/realax/HREAL_LE_MUL_RCANCEL_IMP_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_glb_lt' 'hl/thm/Library/prime/DIVIDES_SUB_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_nlt_0_r' 'hl/thm/Library/analysis/NOT_LESS_0_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qle_shift_div_l'#@#variant 'hl/thm/Library/analysis/REAL_LE_RDIV_'#@#variant
0. 'coq/Coq_QArith_Qminmax_Q_le_max_r' 'hl/thm/real/REAL_MAX_MAX_/1'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_ge' 'hl/thm/realax/HREAL_OF_NUM_LE_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_pos'#@#variant 'hl/thm/int/INT_SGN_INEQS_1'#@#variant
0. 'coq/Coq_Reals_Rpower_sinh_arcsinh' 'hl/thm/Library/transc/ATN_TAN_'
0. 'coq/Coq_ZArith_BinInt_Z_ldiff_m1_l'#@#variant 'hl/thm/realarith/REAL_POLY_NEG_CLAUSES_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_succ_diag_r' 'hl/thm/arith/LT_POW2_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_lxor_r' 'hl/thm/int/INT_NEG_RMUL_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_nonneg_cancel_l'#@#variant 'hl/thm/int/INT_LE_MUL_EQ_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_pred_l' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_LMUL_'
0. 'coq/Coq_Reals_R_sqrt_sqrt_mult'#@#variant 'hl/thm/Library/transc/SQRT_MUL_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_max_lub_l' 'hl/thm/Library/integer/INT_DIVIDES_RMUL2_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_double' 'hl/thm/Multivariate/transcendentals/CX_SIN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lnot_ones' 'hl/thm/realax/REAL_ADD_LINV_'#@#variant
0. 'coq/Coq_Arith_Max_max_lub_r' 'hl/thm/Library/prime/DIVIDES_LMUL2_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lor_diag' 'hl/thm/real/REAL_MAX_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_gcd_divide_r' 'hl/thm/real/REAL_MIN_MIN_/1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_neg_pos'#@#variant 'hl/thm/real/REAL_NEG_LE0_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zplus_gt_compat_r' 'hl/thm/Library/prime/DIVIDES_EXP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_1_l'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_0_r' 'hl/thm/calc_int/REAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_id' 'hl/thm/int/INT_MIN_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_gt_lt_iff' 'hl/thm/realax/real_ge_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_land_diag' 'hl/thm/int/INT_MAX_ACI_3'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_pred_succ' 'hl/thm/Multivariate/transcendentals/ATN_TAN_'
0. 'coq/Coq_NArith_BinNat_N_min_glb' 'hl/thm/Complex/cpoly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_le_mono' 'hl/thm/Multivariate/transcendentals/ATN_MONO_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_le_mono_r' 'hl/thm/int/INT_LT_RADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_1_l'#@#variant 'hl/thm/realax/NADD_LE_0_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mod_1_r'#@#variant 'hl/thm/arith/MOD_1_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rmax_l' 'hl/thm/arith/LE_ADD_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_of_Q' 'hl/thm/Multivariate/vectors/LIFT_DROP_0'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_shuffle3' 'hl/thm/calc_int/REAL_ADD_AC_2'
0. 'coq/Coq_PArith_BinPos_Pos_lt_nle' 'hl/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_gcd_comm' 'hl/thm/realax/NADD_MUL_SYM_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_le_lin'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_LE_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_refl' 'hl/thm/realax/HREAL_LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_divide_mono_l' 'hl/thm/Library/prime/DIVIDES_MUL_L_'
0. 'coq/Coq_Numbers_Cyclic_DoubleCyclic_DoubleBase_lt_0_wwB'#@#variant 'hl/thm/Multivariate/transcendentals/RE_CASN_BOUNDS_/0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_refl' 'hl/thm/arith/LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_r' 'hl/thm/realax/HREAL_LE_MUL_RCANCEL_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_shuffle3' 'hl/thm/Multivariate/complexes/COMPLEX_MUL_AC_2'#@#variant
0. 'coq/Coq_Arith_Min_min_0_r' 'hl/thm/Library/pocklington/ORDER_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_null_iff' 'hl/thm/calc_num/ARITH_50'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_succ_le' 'hl/thm/Library/floor/FLOOR_DOUBLE_/0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_add' 'hl/thm/arith/ADD_SUB_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_inv_normc' 'hl/thm/Multivariate/transcendentals/CX_COS_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lor_lnot_diag'#@#variant 'hl/thm/calc_int/REAL_ADD_RINV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_neq_0_succ' 'hl/thm/Library/transc/REAL_EXP_NZ_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_0_l' 'hl/thm/realax/REAL_ADD_LID_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_1_l' 'hl/thm/int/INT_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_le_compat_l' 'hl/thm/realax/NADD_LE_LMUL_'
0. 'coq/Coq_NArith_BinNat_N_pred_div2_up' 'hl/thm/Multivariate/transcendentals/CX_SIN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_divide_mono_r' 'hl/thm/Library/prime/DIVIDES_MUL_R_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_neq' 'hl/thm/realarith/REAL_LT_LE_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_square' 'hl/thm/Multivariate/transcendentals/CX_COS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_divide_cancel_r' 'hl/thm/Library/prime/DIVIDES_EXP2_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_1_l'#@#variant 'hl/thm/realax/NADD_LE_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lor_0_l' 'hl/thm/realax/REAL_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_max_l' 'hl/thm/real/REAL_MAX_MAX_/0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_sub_r' 'hl/thm/Library/prime/DIVIDES_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_pos'#@#variant 'hl/thm/Library/floor/REAL_FRAC_ZERO_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_le_gt_cases' 'hl/thm/arith/LET_CASES_'
0. 'coq/Coq_ZArith_BinInt_Z_sgn_nonpos' 'hl/thm/calc_num/ARITH_60'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lxor_0_l' 'hl/thm/realax/REAL_ADD_LID_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_even' 'hl/thm/int/int_of_num_th_'
0. 'coq/Coq_Arith_Plus_plus_reg_l' 'hl/thm/realax/HREAL_ADD_LCANCEL_'
0. 'coq/Coq_QArith_Qround_Qfloor_Z' 'hl/thm/Complex/complexnumbers/complex_tybij_raw_0'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_le_mono_l' 'hl/thm/arith/LE_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_even_1'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_lt_mono_r' 'hl/thm/realax/HREAL_LE_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_succ_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftr_opp_r' 'hl/thm/Complex/complexnumbers/complex_sub_'
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_refl' 'hl/thm/int/INT_LE_REFL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_pos_cancel_l'#@#variant 'hl/thm/Library/floor/INTEGER_SUB_EQ_0'
0. 'coq/Coq_Reals_Rtrigo_calc_rad_deg' 'hl/thm/Multivariate/transcendentals/LOG_EXP_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_inj_wd' 'hl/thm/Multivariate/vectors/SQRT_INJ_'
0. 'coq/Coq_NArith_BinNat_N_le_log2_log2_up' 'hl/thm/Multivariate/transcendentals/REAL_EXP_LE_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_0_iff' 'hl/thm/int/INT_SGN_INEQS_9'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_mul_l' 'hl/thm/Library/integer/INT_DIVIDES_RMUL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_even_2' 'hl/thm/Multivariate/complexes/RE_II_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_succ_diag_r' 'hl/thm/real/REAL_ABS_LE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_pos'#@#variant 'hl/thm/int/INT_SGN_INEQS_0'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_ldiff_diag' 'hl/thm/real/REAL_SUB_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_cancel_l' 'hl/thm/int/INT_EQ_ADD_LCANCEL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_div_mod' 'hl/thm/arith/DIVISION_SIMP_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_divide_mono_r' 'hl/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_even_1' 'hl/thm/Multivariate/complexes/RE_II_'#@#variant
0. 'coq/Coq_ZArith_Zdiv_Zdiv2_div'#@#variant 'hl/thm/arith/ADD1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_inj_wd' 'hl/thm/Multivariate/transcendentals/ATN_INJ_'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_lt_total' 'hl/thm/Library/analysis/LESS_LESS_CASES_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_even_0' 'hl/thm/Multivariate/complexes/RE_II_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_neg_cos' 'hl/thm/Multivariate/transcendentals/SIN_PERIODIC_PI_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lcm_1_l'#@#variant 'hl/thm/realax/HREAL_ADD_LID_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_even_spec' 'hl/thm/Multivariate/complexes/real_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_neq' 'hl/thm/int/INT_LT_IMP_NE_'
0. 'coq/Coq_Arith_PeanoNat_Nat_div_0_l' 'hl/thm/arith/MOD_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_clearbit_spec_prime'#@#variant 'hl/thm/int/INT_SUB_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_1_l' 'hl/thm/realax/HREAL_MUL_LID_'#@#variant
0. 'coq/Coq_Reals_RIneq_Ropp_0_le_ge_contravar'#@#variant 'hl/thm/Multivariate/transcendentals/REAL_EXP_LT_1_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_le_mono_l' 'hl/thm/int/INT_LT_LADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_glb_lt' 'hl/thm/Library/integer/INT_DIVIDES_SUB_'
0. 'coq/Coq_Reals_Ratan_ps_atan_opp' 'hl/thm/Multivariate/vectors/SQRT_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_cancel_r' 'hl/thm/calc_int/REAL_EQ_ADD_RCANCEL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_0_r' 'hl/thm/realax/HREAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_mul_comm' 'hl/thm/realax/TREAL_ADD_SYM_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_l' 'hl/thm/realax/NADD_LE_LMUL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_refl' 'hl/thm/Library/integer/INT_DIVIDES_REFL_'
0. 'coq/Coq_fourier_Fourier_util_Rlt_zero_pos_plus1'#@#variant 'hl/thm/Multivariate/transcendentals/REAL_SIN_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sub_le_mono_r' 'hl/thm/Library/prime/DIVIDES_MUL_R_'
0. 'coq/Coq_QArith_Qpower_Qpower_pos'#@#variant 'hl/thm/real/REAL_POW_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_succ_r' 'hl/thm/arith/ADD_SUC_'
0. 'coq/Coq_NArith_BinNat_N_max_le_compat_l' 'hl/thm/Library/prime/DIVIDES_MUL_L_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_le_compat_r' 'hl/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rle_refl' 'hl/thm/Library/integer/INT_DIVIDES_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_lteq' 'hl/thm/arith/LE_LT_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_cancel_l' 'hl/thm/arith/EQ_ADD_LCANCEL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_nle_gt' 'hl/thm/realax/real_lt_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_assoc' 'hl/thm/realax/NADD_ADD_ASSOC_'
0. 'coq/Coq_NArith_BinNat_N_lcm_0_r' 'hl/thm/realax/HREAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_1_l'#@#variant 'hl/thm/int/INT_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_add_r' 'hl/thm/realax/NADD_LE_ADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_0_r' 'hl/thm/Library/prime/DIVIDES_ONE_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_pos'#@#variant 'hl/thm/Library/pocklington/EVEN_PHI_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_comm' 'hl/thm/realax/NADD_ADD_SYM_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_of_Qc' 'hl/thm/Multivariate/complexes/RE_CX_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_Even_or_Odd' 'hl/thm/arith/EVEN_OR_ODD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_succ_pred_double' 'hl/thm/calc_num/ARITH_9'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_divide_mono_l' 'hl/thm/realax/NADD_LE_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_le_mono_pos_l'#@#variant 'hl/thm/Library/analysis/REAL_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_odd_0' 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_le_mono' 'hl/thm/Library/transc/ATN_MONO_LT_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_cancel_l' 'hl/thm/realax/HREAL_EQ_ADD_LCANCEL_'
0. 'coq/Coq_QArith_Qcanon_canon' 'hl/thm/Complex/complexnumbers/COMPLEX_ABS_NORM_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_pred_l' 'hl/thm/int/INT_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_min_l' 'hl/thm/real/REAL_MIN_MIN_/0'
0. 'coq/Coq_Arith_Max_max_0_l' 'hl/thm/arith/MULT_CLAUSES_2'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_pos_nonneg'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_LE_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lor_0_l' 'hl/thm/realax/HREAL_ADD_LID_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_trichotomy' 'hl/thm/arith/LT_CASES_'
0. 'coq/Coq_ZArith_Zsqrt_compat_Zsqrt_le'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_MONO_LT_IMP_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_sin_pos_tech'#@#variant 'hl/thm/Multivariate/transcendentals/SIN_POS_PI_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_nonneg_r'#@#variant 'hl/thm/real/REAL_LT_RMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_lt_mono_r' 'hl/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_QArith_Qminmax_Q_le_min_r' 'hl/thm/int/INT_MIN_MIN_/1'
0. 'coq/Coq_NArith_BinNat_N_double_mul' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LNEG_'
0. 'coq/Coq_Init_Peano_plus_O_n' 'hl/thm/int/INT_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_sgn' 'hl/thm/real/REAL_SGN_ABS_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_lt_mono_pos_l'#@#variant 'hl/thm/int/INT_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_asymm' 'hl/thm/int/INT_LT_GT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_pos' 'hl/thm/calc_num/ARITH_72'
0. 'coq/Coq_QArith_QArith_base_Zlt_Qlt' 'hl/thm/int/int_lt_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_lxor_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LNEG_'
0. 'coq/Coq_Reals_Rtrigo1_COS_bound/0'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_BOUNDS_/0'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_even_1'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_add_lt_sub_r' 'hl/thm/real/REAL_LT_SUB_LADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_id' 'hl/thm/int/INT_MAX_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_eq_add_0' 'hl/thm/arith/ADD_EQ_0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_double_spec' 'hl/thm/real/REAL_SUB_LZERO_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_le_compat_l' 'hl/thm/realax/TREAL_LE_LADD_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_le_mono_l' 'hl/thm/real/REAL_LT_LADD_'
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_Zabs' 'hl/thm/Complex/complex_transc/CX_CCOS_'
0. 'coq/Coq_Reals_RIneq_Rmult_opp_opp' 'hl/thm/int/INT_NEG_MUL2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_lub_r' 'hl/thm/Library/integer/INT_DIVIDES_LMUL2_'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tmult_comm_stable' 'hl/thm/Library/multiplicative/MULTIPLICATIVE_PHI_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_le_mono' 'hl/thm/realax/NADD_INV_WELLDEF_'
0. 'coq/Coq_ZArith_Zorder_Zlt_0_le_0_pred'#@#variant 'hl/thm/Library/transc/LN_POS_LT_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_abs_opp' 'hl/thm/Complex/complex_transc/CCOS_NEG_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_nonneg_cancel_r'#@#variant 'hl/thm/real/REAL_LE_MUL_EQ_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_le_mono_l' 'hl/thm/int/INT_LT_LADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_pow' 'hl/thm/Multivariate/transcendentals/RPOW_INV_'
0. 'coq/Coq_Arith_PeanoNat_Nat_min_glb_iff' 'hl/thm/int/INT_LT_MIN_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_min_r' 'hl/thm/real/REAL_MIN_MIN_/1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_eq_le_incl' 'hl/thm/int/INT_EQ_IMP_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_le_mono_r' 'hl/thm/int/INT_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div2_nonneg'#@#variant 'hl/thm/Library/transc/ATN_POS_LE_'#@#variant
0. 'coq/Coq_Reals_Rtrigo_def_sin_antisym' 'hl/thm/Multivariate/transcendentals/SIN_NEG_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_max_l' 'hl/thm/real/REAL_MAX_MAX_/0'
0. 'coq/Coq_Arith_PeanoNat_Nat_odd_1'#@#variant 'hl/thm/nums/ZERO_DEF_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_le_mono' 'hl/thm/realax/NADD_INV_WELLDEF_'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_IsTO_lt_total' 'hl/thm/int/INT_LT_TOTAL_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_succ' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_INV_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_le_compat_l' 'hl/thm/Library/prime/DIVIDES_MUL_L_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_0_l' 'hl/thm/arith/ADD_CLAUSES_0'#@#variant
0. 'coq/Coq_NArith_BinNat_N_divide_factor_r' 'hl/thm/int/INT_MAX_MAX_/1'
0. 'coq/Coq_ZArith_BinInt_Z_le_add_le_sub_r' 'hl/thm/real/REAL_LT_SUB_RADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_min_le_compat_l' 'hl/thm/int/INT_LE_LADD_IMP_'
0. 'coq/Coq_QArith_Qabs_Qabs_wd' 'hl/thm/arith/FACT_MONO_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_le_compat_r' 'hl/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_min_glb_lt' 'hl/thm/Library/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_opp_r' 'hl/thm/real/REAL_NEG_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_pos'#@#variant 'hl/thm/real/REAL_SGN_INEQS_0'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_irrefl' 'hl/thm/int/INT_LT_REFL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_0_r'#@#variant 'hl/thm/arith/EXP_0'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_refl' 'hl/thm/Complex/cpoly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_le_compat_r' 'hl/thm/Library/integer/INT_DIVIDES_MUL_R_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_pos' 'hl/thm/int/INT_SGN_INEQS_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_divide_mono_r' 'hl/thm/Library/analysis/LESS_MONO_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_mul_r' 'hl/thm/arith/EXP_MULT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_rem_opp_l_prime' 'hl/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_l' 'hl/thm/realax/REAL_LE_LADD_IMP_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_glb_lt' 'hl/thm/Library/prime/DIVIDES_SUB_'
0. 'coq/Coq_ZArith_Zpower_two_p_is_exp'#@#variant 'hl/thm/Library/transc/LN_DIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_pos_cancel_l'#@#variant 'hl/thm/Library/floor/INTEGER_SUB_EQ_0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_refl' 'hl/thm/Library/prime/DIVIDES_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_neq_succ_0' 'hl/thm/Multivariate/transcendentals/REAL_EXP_NZ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_pos'#@#variant 'hl/thm/Multivariate/transcendentals/REAL_EXP_LT_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_involutive' 'hl/thm/Multivariate/complexes/COMPLEX_INV_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_ngt' 'hl/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_of_Z' 'hl/thm/Complex/complexnumbers/complex_tybij_1'#@#variant
0. 'coq/Coq_NArith_BinNat_N_max_le_compat_r' 'hl/thm/arith/EXP_MONO_LE_IMP_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_gt' 'hl/thm/int/int_le_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_1_r' 'hl/thm/calc_int/REAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_FSets_FMapPositive_append_neutral_l' 'hl/thm/realax/HREAL_ADD_LID_'#@#variant
0. 'coq/Coq_ZArith_Znat_Zabs2Nat_inj_neg' 'hl/thm/int/int_of_num_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_le_compat_r' 'hl/thm/realax/NADD_LE_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mod_mod' 'hl/thm/arith/MOD_MOD_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_1_r'#@#variant 'hl/thm/realax/HREAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_land_nonneg'#@#variant 'hl/thm/arith/EVEN_MULT_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_max_l' 'hl/thm/realax/NADD_LE_ADD_'
0. 'coq/Coq_NArith_BinNat_N_lnot_0_l' 'hl/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mod_1_r'#@#variant 'hl/thm/arith/EXP_0'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_clearbit_spec_prime'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_RNEG_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_succ_diag_r' 'hl/thm/Library/analysis/LESS_EQ_SUC_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_neg_iff'#@#variant 'hl/thm/int/INT_SGN_EQ_2'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_divide' 'hl/thm/int/int_ge_'
0. 'coq/Coq_Reals_Rfunctions_Rpow_mult_distr' 'hl/thm/Library/analysis/POW_MUL_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_glb_lt' 'hl/thm/Library/prime/DIVIDES_SUB_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_pos'#@#variant 'hl/thm/real/REAL_LE_INV_EQ_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_le_mono_r_iff'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LT_EQ_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_even_spec' 'hl/thm/Multivariate/complexes/real_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_1_l' 'hl/thm/arith/MULT_CLAUSES_2'#@#variant
0. 'coq/Coq_Strings_Ascii_ascii_N_embedding' 'hl/thm/int/int_abstr_'
0. 'coq/Coq_ZArith_Zorder_Zgt_asym' 'hl/thm/arith/LT_ANTISYM_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_incr' 'hl/thm/Complex/complex_transc/CX_CSIN_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_min_r' 'hl/thm/int/INT_MIN_MIN_/1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_max_l' 'hl/thm/arith/LE_ADD_'
0. 'coq/Coq_ZArith_BinInt_Z_log2_pos'#@#variant 'hl/thm/Library/transc/LN_POS_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_pos_cancel_r'#@#variant 'hl/thm/Library/analysis/REAL_LT_RDIV_0_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_even_2'#@#variant 'hl/thm/Multivariate/complexes/RE_II_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_id' 'hl/thm/int/INT_MAX_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sub_le_mono_r' 'hl/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_nonneg'#@#variant 'hl/thm/calc_num/ARITH_40'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_le_mono_r' 'hl/thm/int/INT_LT_RADD_'
0. 'coq/Coq_QArith_QArith_base_Zlt_Qlt' 'hl/thm/real/REAL_OF_NUM_GT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_mul_l' 'hl/thm/Library/prime/DIVIDES_RMUL_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_divide_cancel_r' 'hl/thm/Library/integer/INT_DIVIDES_RMUL2_EQ_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_eq_1'#@#variant 'hl/thm/arith/ADD_EQ_0_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_max_l' 'hl/thm/int/INT_MAX_MAX_/0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_pred_l' 'hl/thm/Multivariate/transcendentals/REAL_INV_RPOW_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lcm_1_l'#@#variant 'hl/thm/arith/ADD_CLAUSES_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_0_l' 'hl/thm/realax/REAL_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_pos'#@#variant 'hl/thm/Library/pocklington/PHI_LOWERBOUND_1_'#@#variant
0. 'coq/Coq_Reals_Exp_prop_div2_not_R0'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_POS_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_cos_sin'#@#variant 'hl/thm/Library/transc/SIN_COS_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div2_nonneg'#@#variant 'hl/thm/Library/floor/INTEGER_ABS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_nonneg_cancel_r'#@#variant 'hl/thm/real/REAL_LE_MUL_EQ_1'#@#variant
0. 'coq/Coq_ZArith_Zeven_Zquot2_opp' 'hl/thm/real/REAL_INV_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_nonneg' 'hl/thm/calc_num/ARITH_72'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_opp_norm' 'hl/thm/Multivariate/vectors/SQRT_POS_LE_'#@#variant
0. 'coq/Coq_Reals_R_sqrt_sqrt_lt_1_alt'#@#variant 'hl/thm/Library/transc/SQRT_MONO_LT_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_1_mul_pos'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_LE_1_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pow_le_mono_l' 'hl/thm/Library/prime/DIVIDES_MUL_R_'
0. 'coq/Coq_PArith_BinPos_Pos_le_nlt' 'hl/thm/arith/NOT_LT_'
0. 'coq/Coq_ZArith_BinInt_Z_min_le_compat_l' 'hl/thm/realax/TREAL_LE_LADD_IMP_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_max_lub_lt_iff' 'hl/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_ZArith_BinInt_Z_succ_inj_wd' 'hl/thm/int/INT_EQ_NEG2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_cancel_l' 'hl/thm/Library/analysis/REAL_EQ_LMUL2_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_pred_succ' 'hl/thm/arith/PRE_1'
0. 'coq/Coq_QArith_Qcanon_Qcplus_0_l'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_quot_pos'#@#variant 'hl/thm/realarith/REAL_LTE_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_le_mono' 'hl/thm/Multivariate/transcendentals/ATN_MONO_LT_'
0. 'coq/Coq_Bool_Bool_andb_false_r' 'hl/thm/realax/HREAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_ge' 'hl/thm/int/int_le_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_opp_opp' 'hl/thm/real/REAL_NEG_MUL2_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_id' 'hl/thm/int/INT_MAX_ACI_3'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_diag' 'hl/thm/arith/BIT0_'
0. 'coq/Coq_Reals_Rsqrt_def_Rsqrt_positivity'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_POS_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_max_0_l' 'hl/thm/realax/HREAL_ADD_LID_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rlt_or_le' 'hl/thm/int/INT_LET_TOTAL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_pos' 'hl/thm/calc_num/ARITH_72'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_pos'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lcm_1_l'#@#variant 'hl/thm/int/INT_NEG_MINUS1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_pos_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LT_EQ_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rle_abs' 'hl/thm/real/REAL_ABS_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pos_pred_succ' 'hl/thm/int/int_abstr_'
0. 'coq/Coq_PArith_BinPos_Pos_add_succ_l' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_le_mono' 'hl/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lor_0_l' 'hl/thm/int/INT_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div2_nonneg'#@#variant 'hl/thm/Library/floor/RATIONAL_INV_EQ_'
0. 'coq/Coq_Reals_RIneq_Rnot_ge_gt' 'hl/thm/arith/LET_CASES_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_cancel_r' 'hl/thm/calc_int/REAL_EQ_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_min_distr_l' 'hl/thm/arith/EXP_ADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lnot_0_l' 'hl/thm/int/INT_NEG_MINUS1_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_nge' 'hl/thm/realarith/REAL_NOT_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_nonneg_pos'#@#variant 'hl/thm/int/INT_LET_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_2' 'hl/thm/int/INT_ABS_0_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_add_r' 'hl/thm/realax/HREAL_LE_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_antisymm' 'hl/thm/Library/analysis/LESS_EQUAL_ANTISYM_'
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_le_lin'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_LT_X_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_divide_refl' 'hl/thm/Library/prime/DIVIDES_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_le_mono_r' 'hl/thm/int/INT_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_land_0_r' 'hl/thm/realax/HREAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_Reals_RIneq_opp_IZR' 'hl/thm/Multivariate/transcendentals/CX_SIN_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_ge_cases' 'hl/thm/realarith/REAL_LTE_TOTAL_'
0. 'coq/Coq_ZArith_BinInt_Z_even_spec' 'hl/thm/Multivariate/complexes/real_'#@#variant
0. 'coq/Coq_Reals_ROrderedType_R_as_OT_le_lteq' 'hl/thm/int/INT_LE_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lxor_0_l' 'hl/thm/arith/ADD_CLAUSES_0'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_abs_pos'#@#variant 'hl/thm/int/INT_ABS_NZ_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rge_refl' 'hl/thm/Multivariate/misc/GE_REFL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_le_mono_r' 'hl/thm/arith/LE_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_nge' 'hl/thm/realax/real_lt_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_pos_cancel_r'#@#variant 'hl/thm/real/REAL_LT_MUL_EQ_1'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_1_r' 'hl/thm/arith/SUB_0_/1'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_neg_iff' 'hl/thm/Multivariate/vectors/LIFT_EQ_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_lt_mono_l' 'hl/thm/real/REAL_LE_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_pos'#@#variant 'hl/thm/Library/transc/LN_POS_LT_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_min_le_compat_r' 'hl/thm/Library/integer/INT_DIVIDES_MUL_R_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_glb_lt' 'hl/thm/Library/prime/DIVIDES_SUB_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sub_le_mono_r' 'hl/thm/Library/prime/LESS_MONO_ADD_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_lt' 'hl/thm/int/int_lt_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_lt_mono_l' 'hl/thm/realax/NADD_LE_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_nlt_ge' 'hl/thm/realarith/REAL_NOT_LT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_land_0_r' 'hl/thm/Library/pocklington/ORDER_1_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_opp' 'hl/thm/Multivariate/transcendentals/CNJ_CSIN_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_Zpos' 'hl/thm/int/INT_OF_NUM_LT_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_shuffle3' 'hl/thm/int/INT_MIN_ACI_2'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_mul_l' 'hl/thm/Library/integer/INT_DIVIDES_RMUL_'
0. 'coq/Coq_Bool_Bool_negb_xorb_l' 'hl/thm/arith/ADD_CLAUSES_2'
0. 'coq/Coq_ZArith_BinInt_Z_opp_inj_wd' 'hl/thm/calc_num/ARITH_57'
0. 'coq/Coq_NArith_BinNat_N_shiftl_shiftl' 'hl/thm/Library/prime/EXP_EXP_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_1_r' 'hl/thm/arith/MULT_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_factor_l' 'hl/thm/real/REAL_MAX_MAX_/0'
0. 'coq/Coq_NArith_BinNat_N_add_le_mono_r' 'hl/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_refl' 'hl/thm/realax/TREAL_LE_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_clearbit_spec_prime'#@#variant 'hl/thm/int/INT_SUB_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_le_compat_l' 'hl/thm/realax/NADD_LE_LMUL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_1_r' 'hl/thm/arith/ADD1_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_pred_pos'#@#variant 'hl/thm/Library/transc/EXP_LN_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_even_0' 'hl/thm/nums/ZERO_DEF_'
0. 'coq/Coq_ZArith_Zsqrt_compat_Zsqrt_plain_is_pos'#@#variant 'hl/thm/Multivariate/transcendentals/REAL_COS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_lt_lin'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_LE_X_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_lt_mono_r'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LT_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qeq_refl' 'hl/thm/Complex/cpoly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_add_r' 'hl/thm/Library/integer/INT_DIVIDES_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ones_equiv'#@#variant 'hl/thm/calc_num/ARITH_4'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_cancel_r' 'hl/thm/calc_int/REAL_EQ_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_pos_cancel_r'#@#variant 'hl/thm/Library/floor/INTEGER_ADD_EQ_1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_move_r' 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_SUB_RADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_nonneg_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LE_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qmult_1_l'#@#variant 'hl/thm/realax/NADD_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_succ_r' 'hl/thm/arith/SUB_1'
0. 'coq/Coq_ZArith_BinInt_Z_add_cancel_r' 'hl/thm/arith/EQ_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_lt_lin' 'hl/thm/Library/transc/LN_LT_X_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_nonneg'#@#variant 'hl/thm/Library/floor/RATIONAL_NEG_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_nonneg'#@#variant 'hl/thm/real/REAL_SGN_INEQS_0'#@#variant
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_E_bits_lt_antirefl' 'hl/thm/realarith/REAL_LT_REFL_'
0. 'coq/Coq_PArith_BinPos_Pos_add_lt_mono_l' 'hl/thm/real/REAL_LE_LADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_le_compat_l' 'hl/thm/int/INT_LE_LADD_IMP_'
0. 'coq/Coq_Sets_Powerset_facts_Distributivity_prime' 'hl/thm/Multivariate/determinants/REFLECT_ALONG_ADD_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rle_max_compat_r' 'hl/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Zopp_mult_distr_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LNEG_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftl_mul_pow2'#@#variant 'hl/thm/real/REAL_SUB_RNEG_'
0. 'coq/Coq_ZArith_BinInt_Z_quot_pos'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_LT_1_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_le_compat_r' 'hl/thm/realax/NADD_LE_RMUL_'
0. 'coq/Coq_ZArith_Zeven_Zquot2_opp' 'hl/thm/Multivariate/vectors/SQRT_INV_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_eq_0' 'hl/thm/real/REAL_DIV_EQ_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_succ_l' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_even_2'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_even_2'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sub_cancel_r' 'hl/thm/int/INT_EQ_ADD_RCANCEL_'
0. 'coq/Coq_NArith_BinNat_N_eq_mul_0' 'hl/thm/real/REAL_DIV_EQ_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_nlt' 'hl/thm/arith/NOT_LT_'
0. 'coq/Coq_Reals_R_sqrt_sqrt_lt_R0'#@#variant 'hl/thm/Library/floor/INTEGER_CLOSED_5'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_total' 'hl/thm/Library/analysis/LESS_LESS_CASES_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_inv_normc' 'hl/thm/Multivariate/transcendentals/CX_ATN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_pow' 'hl/thm/Multivariate/transcendentals/REAL_INV_RPOW_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_Even_or_Odd' 'hl/thm/arith/EVEN_OR_ODD_'
0. 'coq/Coq_FSets_FMapPositive_append_neutral_l' 'hl/thm/int/INT_MUL_LID_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_1' 'hl/thm/Library/pocklington/PHI_0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sub_le_mono_r' 'hl/thm/Library/analysis/LESS_MONO_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_lub_iff' 'hl/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_setbit_spec_prime'#@#variant 'hl/thm/Complex/complexnumbers/complex_sub_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_pos'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_POS_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_shiftr' 'hl/thm/real/REAL_SUB_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_0_r' 'hl/thm/arith/MULT_0_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_mod_idemp_l' 'hl/thm/arith/MOD_MULT_LMOD_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_pow_lt_mono'#@#variant 'hl/thm/real/REAL_LE_MUL2_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_divide_mono_l' 'hl/thm/realax/NADD_MUL_WELLDEF_LEMMA_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_le' 'hl/thm/int/int_lt_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_lt_mono'#@#variant 'hl/thm/real/REAL_LT_MUL2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div_mul_le' 'hl/thm/arith/MULT_DIV_LE_'#@#variant
0. 'coq/Coq_Reals_Raxioms_Rplus_opp_r' 'hl/thm/int/INT_ADD_RINV_'#@#variant
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_div2' 'hl/thm/Complex/complex_transc/CX_CSIN_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lor_nonneg'#@#variant 'hl/thm/arith/LT_MULT_'#@#variant
0. 'coq/Coq_Reals_RIneq_Ropp_Ropp_IZR' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_INV_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_land_diag' 'hl/thm/real/REAL_MAX_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_0_l' 'hl/thm/realax/REAL_ADD_LID_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_pred_succ' 'hl/thm/Library/transc/ATN_TAN_'
0. 'coq/Coq_ZArith_BinInt_Z_opp_eq_mul_m1'#@#variant 'hl/thm/arith/ADD1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_inj_wd' 'hl/thm/Library/transc/ATN_INJ_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_cancel_r' 'hl/thm/int/INT_EQ_ADD_RCANCEL_'
0. 'coq/Coq_NArith_BinNat_N_eq_0_gt_0_cases'#@#variant 'hl/thm/arith/LE_1_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_le_mono' 'hl/thm/Library/transc/ATN_MONO_LT_'
0. 'coq/Coq_Bool_Bool_eqb_negb1' 'hl/thm/realax/REAL_ADD_LINV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_glb_lt_iff' 'hl/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_ZArith_Zorder_Zmult_lt_compat_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LE_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_odd_2'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lor_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_pos_nonneg'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_LT_1_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_0_r'#@#variant 'hl/thm/Library/prime/INDEX_1_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_max_lub_lt_iff' 'hl/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_le_mono_l' 'hl/thm/arith/LT_ADD_LCANCEL_'
0. 'coq/Coq_ZArith_BinInt_Z_div2_nonneg'#@#variant 'hl/thm/real/REAL_LE_INV_EQ_'#@#variant
0. 'coq/Coq_QArith_QOrderedType_QOrder_lt_irrefl' 'hl/thm/realarith/REAL_LT_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_lor' 'hl/thm/Complex/complex_transc/CEXP_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lcm_eq_0' 'hl/thm/realarith/REAL_ENTIRE_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_le_compat_r' 'hl/thm/Library/analysis/LESS_MONO_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_nonneg'#@#variant 'hl/thm/int/INT_NEG_GE0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_pred_succ' 'hl/thm/Multivariate/transcendentals/ATN_TAN_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_le_compat_r' 'hl/thm/realax/HREAL_LE_MUL_RCANCEL_IMP_'
0. 'coq/Coq_Reals_RIneq_Rmult_lt_compat_r'#@#variant 'hl/thm/real/REAL_LT_RMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_mod' 'hl/thm/arith/MOD_MULT_MOD2_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_0_iff' 'hl/thm/real/REAL_ABS_ZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sub_le_mono_r' 'hl/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rle_max_compat_l' 'hl/thm/Library/prime/DIVIDES_MUL_L_'
0. 'coq/Coq_ZArith_BinInt_Z_succ_pred' 'hl/thm/Multivariate/transcendentals/LOG_EXP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_lt_succ_r' 'hl/thm/Library/analysis/LESS_SUC_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_l' 'hl/thm/arith/MOD_LT_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_cancel_l' 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_ADD_LCANCEL_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_lt' 'hl/thm/int/num_divides_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_le_mono' 'hl/thm/Library/transc/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_move_0_r' 'hl/thm/real/REAL_LNEG_UNIQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_le_lin'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_LE_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_shuffle3' 'hl/thm/calc_int/REAL_ADD_AC_2'
0. 'coq/Coq_ZArith_Zeven_Zquot2_opp' 'hl/thm/real/REAL_ABS_INV_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lor_0_l' 'hl/thm/realax/HREAL_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sub_le_mono_r' 'hl/thm/Library/analysis/LESS_MONO_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftl_shiftl' 'hl/thm/Library/prime/EXP_EXP_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_shuffle3' 'hl/thm/int/INT_ADD_AC_2'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_nonneg'#@#variant 'hl/thm/Library/analysis/REAL_LE_MUL2V_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_min_glb' 'hl/thm/Library/prime/DIVIDES_SUB_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_opp_opp' 'hl/thm/arith/SUB_SUC_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_1_l'#@#variant 'hl/thm/arith/ADD_CLAUSES_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_mul_0'#@#variant 'hl/thm/Library/calc_real/REAL_OPPSIGN_LEMMA_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_eq_mul_0' 'hl/thm/int/INT_ENTIRE_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_land_0_r' 'hl/thm/Library/pocklington/ORDER_1_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Zsucc_pred' 'hl/thm/Multivariate/transcendentals/CCOS_CACS_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lor_diag' 'hl/thm/real/REAL_MIN_ACI_3'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_pos_cancel_l'#@#variant 'hl/thm/real/REAL_LT_MUL_EQ_0'#@#variant
0. 'coq/Coq_Numbers_Cyclic_DoubleCyclic_DoubleBase_lt_0_wB'#@#variant 'hl/thm/realarith/REAL_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_le_incl' 'hl/thm/realarith/REAL_LT_IMP_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_max_r' 'hl/thm/arith/LE_ADDR_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_0_iff' 'hl/thm/Multivariate/vectors/SQRT_EQ_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_succ_le' 'hl/thm/Library/floor/FLOOR_DOUBLE_/0'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_pow_succ_r' 'hl/thm/arith/EXP_1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_pred_l' 'hl/thm/Library/pocklington/PHI_LIMIT_'
0. 'coq/Coq_Arith_PeanoNat_Nat_div_1_r' 'hl/thm/arith/SUB_0_/1'
0. 'coq/Coq_ZArith_Zorder_Zmult_le_compat_r'#@#variant 'hl/thm/int/INT_LE_RMUL_'#@#variant
0. 'coq/Coq_Reals_Rpower_sinh_arcsinh' 'hl/thm/arith/PRE_1'
0. 'coq/Coq_ZArith_BinInt_Z_lor_m1_r'#@#variant 'hl/thm/arith/MULT_0_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_succ_inj_wd' 'hl/thm/nums/IND_SUC_INJ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_quot_mul' 'hl/thm/real/REAL_DIV_RMUL_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mod_mod' 'hl/thm/arith/MOD_MOD_REFL_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_sub_add' 'hl/thm/arith/SUB_ADD_'
0. 'coq/Coq_QArith_QArith_base_Zlt_Qlt' 'hl/thm/int/INT_OF_NUM_GE_'
0. 'coq/Coq_ZArith_BinInt_Z_sgn_nonpos' 'hl/thm/real/REAL_SGN_INEQS_5'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_asymm' 'hl/thm/int/INT_LT_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_2' 'hl/thm/real/REAL_SGN_0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_shuffle3' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_AC_2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_le_compat_l' 'hl/thm/realax/NADD_LE_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_divide_iff' 'hl/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sub_add_distr' 'hl/thm/arith/EXP_MULT_'
0. 'coq/Coq_NArith_BinNat_N_gcd_diag' 'hl/thm/int/INT_MAX_ACI_3'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_divide_mono_r' 'hl/thm/Library/prime/LESS_MONO_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_Zpos' 'hl/thm/int/INT_OF_NUM_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_le_lin'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_land' 'hl/thm/Multivariate/transcendentals/REAL_EXP_ADD_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_succ_l' 'hl/thm/int/INT_NEG_LMUL_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LE_'
0. 'coq/Coq_Arith_Even_even_or_odd' 'hl/thm/arith/EVEN_OR_ODD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lor_0_l' 'hl/thm/realax/REAL_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sub_1_r'#@#variant 'hl/thm/arith/ADD1_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_1_l' 'hl/thm/arith/LE_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_double_mul' 'hl/thm/Multivariate/transcendentals/RPOW_INV_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_succ_not_1' 'hl/thm/nums/NOT_SUC_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_Zpos' 'hl/thm/int/INT_OF_NUM_GE_'
0. 'coq/Coq_Bool_Bool_negb_orb' 'hl/thm/Complex/complex_transc/CEXP_SUB_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_pos'#@#variant 'hl/thm/int/INT_SGN_INEQS_0'#@#variant
0. 'coq/Coq_QArith_Qminmax_Q_min_glb_lt' 'hl/thm/Complex/cpoly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_le' 'hl/thm/int/num_divides_'
0. 'coq/Coq_Reals_RIneq_Rmult_0_r' 'hl/thm/realax/HREAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_1_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant
0. 'coq/Coq_ZArith_Zeven_Zodd_Sn' 'hl/thm/Library/pratt/PHI_LOWERBOUND_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_add_cancel_r' 'hl/thm/Library/poly/POLY_DIVIDES_SUB_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_shuffle3' 'hl/thm/real/REAL_MUL_AC_2'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_divide_mono_r' 'hl/thm/Library/prime/LESS_MONO_ADD_'
0. 'coq/Coq_Bool_Bool_leb_implb' 'hl/thm/arith/SUB_EQ_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_odd_opp' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_NEG_'
0. 'coq/Coq_ZArith_BinInt_Z_gcd_1_r'#@#variant 'hl/thm/calc_int/REAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_1_mul_pos'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_LT_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_cancel_l' 'hl/thm/Library/analysis/REAL_EQ_LMUL2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_eq_mul_1'#@#variant 'hl/thm/arith/ADD_EQ_0_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_le_compat_l' 'hl/thm/Library/prime/DIVIDES_MUL_L_'
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_r' 'hl/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_sub_le_add_r' 'hl/thm/real/REAL_LE_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_eq_1'#@#variant 'hl/thm/arith/ADD_EQ_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_factor_l' 'hl/thm/real/REAL_MAX_MAX_/0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ldiff_diag' 'hl/thm/arith/SUB_REFL_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_lt_mono_l' 'hl/thm/arith/LT_ADD_LCANCEL_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_quot2' 'hl/thm/Multivariate/transcendentals/CX_EXP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_opp' 'hl/thm/Library/transc/COS_NEG_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_lt_mono_pos_l'#@#variant 'hl/thm/real/REAL_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_Reals_Rtrigo_calc_sin_lb_ge_0'#@#variant 'hl/thm/Multivariate/transcendentals/SIN_POS_PI_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_lt_iff' 'hl/thm/int/INT_MIN_LE_'
0. 'coq/Coq_ZArith_Zeven_Zodd_bool_iff' 'hl/thm/Multivariate/complexes/real_'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_is_nonneg'#@#variant 'hl/thm/real/REAL_LE_POW2_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_alt_dichotomy' 'hl/thm/int/INT_LE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_nle_gt' 'hl/thm/arith/NOT_LT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_succ_r' 'hl/thm/Multivariate/transcendentals/RPOW_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_add_r' 'hl/thm/Library/prime/DIVIDES_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_opp_opp' 'hl/thm/real/REAL_NEG_MUL2_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_1_l'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_refl' 'hl/thm/realax/HREAL_LE_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_abs_sgn' 'hl/thm/int/INT_SGN_ABS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_pred_l' 'hl/thm/Multivariate/transcendentals/REAL_ABS_RPOW_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_le_lin'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_LE_X_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_shuffle3' 'hl/thm/arith/MULT_AC_2'
0. 'coq/Coq_ZArith_BinInt_Z_mul_0_r' 'hl/thm/realax/HREAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_opp_r' 'hl/thm/Multivariate/complexes/complex_div_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pred_succ' 'hl/thm/Library/transc/LN_EXP_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_xO'#@#variant 'hl/thm/Multivariate/transcendentals/CX_TAN_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_pos'#@#variant 'hl/thm/Multivariate/complexes/REAL_INV_EQ_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_sqrt' 'hl/thm/Multivariate/complexes/IM_CNJ_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_sub_l' 'hl/thm/int/INT_MIN_MIN_/0'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_bounded/0'#@#variant 'hl/thm/Multivariate/complexes/REAL_CX_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_divide_1_l'#@#variant 'hl/thm/arith/LE_0_'#@#variant
0. 'coq/Coq_QArith_Qfield_Qopp_plus' 'hl/thm/real/REAL_ABS_TRIANGLE_'
0. 'coq/Coq_ZArith_BinInt_Z_ldiff_ldiff_l' 'hl/thm/Library/prime/EXP_EXP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_opp' 'hl/thm/Library/transc/COS_ABS_'
0. 'coq/Coq_ZArith_Znat_positive_N_Z' 'hl/thm/int/int_of_num_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_1_mul_pos'#@#variant 'hl/thm/realarith/REAL_LTE_ADD_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_min_glb_lt_iff' 'hl/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_antisymm' 'hl/thm/Library/analysis/LESS_EQUAL_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_1_l'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zplus_le_compat_l' 'hl/thm/realax/NADD_LE_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_divide_mono_l' 'hl/thm/realax/NADD_LE_LMUL_'
0. 'coq/Coq_NArith_BinNat_N_eq_le_incl' 'hl/thm/arith/EQ_IMP_LE_'
0. 'coq/Coq_NArith_BinNat_N_le_refl' 'hl/thm/realax/TREAL_LE_REFL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_abs_opp' 'hl/thm/Multivariate/vectors/SQRT_WORKS_GEN_/0'
0. 'coq/Coq_QArith_QArith_base_Qle_not_lt' 'hl/thm/int/INT_LTE_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sub_succ_r' 'hl/thm/Multivariate/transcendentals/RPOW_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lcm_diag' 'hl/thm/arith/BIT0_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_div2' 'hl/thm/Multivariate/transcendentals/CX_TAN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_nge' 'hl/thm/realax/real_lt_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_lcm_r' 'hl/thm/arith/LE_ADDR_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_succ_r' 'hl/thm/arith/LT_SUC_LE_'
0. 'coq/Coq_QArith_Qabs_Qabs_wd' 'hl/thm/realax/NADD_INV_WELLDEF_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_1_l'#@#variant 'hl/thm/int/INT_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_nlt_ge' 'hl/thm/realarith/REAL_NOT_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_lt_mono'#@#variant 'hl/thm/real/REAL_LT_MUL2_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_min_0_r' 'hl/thm/arith/MULT_0_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_iff' 'hl/thm/int/INT_OF_NUM_EQ_'
0. 'coq/Coq_Reals_Rtrigo1__PI2_RLT_0'#@#variant 'hl/thm/Library/calc_real/REAL_EXP_13_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_mul_assoc' 'hl/thm/realax/TREAL_MUL_ASSOC_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_le_compat_r' 'hl/thm/Library/integer/INT_DIVIDES_MUL_R_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_odd_spec' 'hl/thm/Multivariate/complexes/real_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_1_l' 'hl/thm/Library/analysis/SUB_OLD_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_opp' 'hl/thm/real/REAL_INV_NEG_'
0. 'coq/Coq_ZArith_BinInt_Z_gcd_diag' 'hl/thm/Library/analysis/REAL_DOUBLE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_lor' 'hl/thm/Library/transc/REAL_EXP_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_ge_le_iff' 'hl/thm/arith/GE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_add_r' 'hl/thm/Library/integer/INT_DIVIDES_ADD_'
0. 'coq/Coq_Reals_Ratan_atan_opp' 'hl/thm/int/INT_ABS_SGN_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_le_compat_l' 'hl/thm/Library/integer/INT_DIVIDES_MUL_L_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_diag'#@#variant 'hl/thm/real/REAL_MUL_2_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_r' 'hl/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_succ_not_1' 'hl/thm/Complex/complex_transc/CEXP_NONZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div2_nonneg'#@#variant 'hl/thm/int/INT_SGN_INEQS_0'#@#variant
0. 'coq/Coq_fourier_Fourier_util_Rlt_zero_pos_plus1'#@#variant 'hl/thm/real/REAL_LE_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_sub_le_add_r' 'hl/thm/real/REAL_LT_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_add_lt_sub_r' 'hl/thm/real/REAL_LT_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_0_l' 'hl/thm/arith/ADD_CLAUSES_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_le_mono' 'hl/thm/Library/floor/FLOOR_MONO_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_le_compat_l' 'hl/thm/Library/prime/DIVIDES_MUL_L_'
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_factor_l' 'hl/thm/realax/HREAL_LE_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_clearbit_spec_prime'#@#variant 'hl/thm/Complex/complexnumbers/complex_sub_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_1_l'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_le_lin'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_LE_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_gt_cases' 'hl/thm/int/INT_LET_TOTAL_'
0. 'coq/Coq_NArith_BinNat_N_mul_lt_mono_pos_l'#@#variant 'hl/thm/real/REAL_LE_LMUL_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_succ_l' 'hl/thm/Multivariate/transcendentals/REAL_INV_RPOW_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftl_mul_pow2'#@#variant 'hl/thm/realax/real_div_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_le_max_l' 'hl/thm/realax/NADD_LE_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_even_2'#@#variant 'hl/thm/Multivariate/complexes/RE_II_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_le_compat_r' 'hl/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_ZArith_Zpower_two_power_nat_S'#@#variant 'hl/thm/Multivariate/transcendentals/CX_SIN_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_min_id' 'hl/thm/real/REAL_MAX_ACI_3'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_nlt' 'hl/thm/arith/NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_le_mono_l' 'hl/thm/real/REAL_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_null'#@#variant 'hl/thm/int/INT_SGN_EQ_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_divide_r' 'hl/thm/Library/prime/INDEX_TRIVIAL_BOUND_'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_pow2'#@#variant 'hl/thm/Multivariate/transcendentals/EXP_LOG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_le_trans' 'hl/thm/arith/LTE_TRANS_'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_le_mono' 'hl/thm/Multivariate/transcendentals/ATN_MONO_LT_'
0. 'coq/Coq_NArith_BinNat_N_max_lub_lt_iff' 'hl/thm/real/REAL_MAX_LT_'
0. 'coq/Coq_NArith_BinNat_N_le_sub_le_add_r' 'hl/thm/int/INT_LT_ADD_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lxor_eq_0_iff' 'hl/thm/realarith/REAL_SUB_0_'#@#variant
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_succ' 'hl/thm/Complex/complexnumbers/CX_INV_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_lt_mono_l' 'hl/thm/realax/HREAL_LE_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lcm_1_l'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_lt' 'hl/thm/realax/REAL_OF_NUM_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_le_compat_r' 'hl/thm/Library/prime/DIVIDES_MUL_R_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_add_le' 'hl/thm/real/REAL_ABS_TRIANGLE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_le_mono_r' 'hl/thm/arith/LE_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_ldiff_diag' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_REFL_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_size_nat_monotone' 'hl/thm/Library/calc_real/REAL_MONO_POW2_'#@#variant
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_double_plus_one' 'hl/thm/Multivariate/complexes/CX_INV_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_le_min_l' 'hl/thm/real/REAL_MIN_MIN_/0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_pos'#@#variant 'hl/thm/Library/floor/FLOOR_POS_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div2_neg' 'hl/thm/calc_num/ARITH_92'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_le_mono' 'hl/thm/int/INT_LE_NEG2_'
0. 'coq/Coq_NArith_BinNat_N_mod_mod' 'hl/thm/arith/MOD_MOD_REFL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ge_le_iff' 'hl/thm/realax/real_gt_'
0. 'coq/Coq_Reals_Rminmax_R_max_lub_r' 'hl/thm/Library/integer/INT_DIVIDES_LMUL2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_opp_r' 'hl/thm/real/REAL_SUB_RNEG_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_cancel_r' 'hl/thm/int/INT_EQ_ADD_RCANCEL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_min_le_iff' 'hl/thm/real/REAL_MIN_LT_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_pos'#@#variant 'hl/thm/Library/transc/ATN_POS_LE_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_divide_Zpos' 'hl/thm/real/REAL_OF_NUM_GE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_inj_wd' 'hl/thm/Library/transc/REAL_EXP_INJ_'
0. 'coq/Coq_Reals_Rpower_arcsinh_sinh' 'hl/thm/Library/transc/ATN_/2'
0. 'coq/Coq_PArith_BinPos_Pos_sub_diag' 'hl/thm/int/INT_SUB_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_le_mono' 'hl/thm/Library/transc/ATN_MONO_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_cancel_l' 'hl/thm/arith/EQ_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_sub_lt' 'hl/thm/arith/DIV_LT_'#@#variant
0. 'coq/Coq_Strings_Ascii_ascii_nat_embedding' 'hl/thm/int/int_abstr_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_ge_le_iff' 'hl/thm/int/INT_GE_'
0. 'coq/Coq_Reals_Rpower_exp_increasing' 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Reals_R_sqrt_sqrt_le_1_alt' 'hl/thm/Library/floor/FLOOR_MONO_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_mul_below' 'hl/thm/real/REAL_SUB_ABS_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_divide_refl' 'hl/thm/realax/REAL_LE_REFL_'
0. 'coq/Coq_ZArith_Zorder_Zsucc_le_compat' 'hl/thm/arith/FACT_MONO_'
0. 'coq/Coq_NArith_Ndist_ni_le_min_1' 'hl/thm/real/REAL_MIN_MIN_/0'
0. 'coq/Coq_NArith_BinNat_N_log2_pow2'#@#variant 'hl/thm/Multivariate/transcendentals/EXP_LOG_'#@#variant
0. 'coq/Coq_Reals_RIneq_Ropp_div' 'hl/thm/int/INT_MUL_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_le_incl' 'hl/thm/realax/NADD_EQ_IMP_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_lt_mono_r' 'hl/thm/realax/NADD_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_le_mono' 'hl/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Init_Peano_le_pred' 'hl/thm/Multivariate/vectors/SQRT_MONO_LT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_double_mul' 'hl/thm/int/INT_NEG_LMUL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_le_lin'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_0_r' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RZERO_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pow_lt_mono_l_iff' 'hl/thm/Library/integer/INT_DIVIDES_RMUL2_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_shuffle3' 'hl/thm/real/REAL_MIN_ACI_2'
0. 'coq/Coq_NArith_BinNat_N_le_ngt' 'hl/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_quot_same'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_DIV_REFL_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_lt_mono_nonneg'#@#variant 'hl/thm/real/REAL_LE_MUL2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_divide_mono_l' 'hl/thm/realax/NADD_MUL_WELLDEF_LEMMA_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div_lt_upper_bound' 'hl/thm/arith/LE_LDIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_pred' 'hl/thm/calc_num/ARITH_5'
0. 'coq/Coq_PArith_BinPos_Pos_le_lt_trans' 'hl/thm/arith/LET_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_lt_succ_r' 'hl/thm/Library/analysis/LESS_SUC_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_neq_0_succ' 'hl/thm/arith/FACT_NZ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_sub_le_add_r' 'hl/thm/int/INT_LE_SUB_LADD_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_divide_mono_r' 'hl/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Reals_R_Ifp_base_fp/1' 'hl/thm/Multivariate/transcendentals/ATN_BOUNDS_/1'#@#variant
0. 'coq/Coq_Reals_R_Ifp_base_fp/0' 'hl/thm/Multivariate/transcendentals/ATN_BOUNDS_/1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_lt_lin'#@#variant 'hl/thm/Library/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_pos'#@#variant 'hl/thm/Library/transc/LN_POS_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_inj_wd' 'hl/thm/Multivariate/transcendentals/REAL_EXP_INJ_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_is_pos'#@#variant 'hl/thm/Library/floor/RATIONAL_NUM_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_inj_wd' 'hl/thm/Complex/complexnumbers/CNJ_INJ_'
0. 'coq/Coq_NArith_BinNat_N_min_le_iff' 'hl/thm/real/REAL_MIN_LT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_opp_r' 'hl/thm/int/INT_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_refl' 'hl/thm/Library/prime/DIVIDES_REFL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_ldiff_diag' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_REFL_'#@#variant
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_succ' 'hl/thm/Multivariate/transcendentals/CX_ATN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_2' 'hl/thm/realax/HREAL_INV_0_'
0. 'coq/Coq_ZArith_Zorder_Zsucc_gt_compat' 'hl/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_1' 'hl/thm/Library/pocklington/PHI_0_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_div_mod' 'hl/thm/arith/DIVISION_SIMP_1'#@#variant
0. 'coq/Coq_Reals_RIneq_Ropp_mult_distr_l_reverse' 'hl/thm/Multivariate/transcendentals/REAL_ABS_RPOW_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_total' 'hl/thm/int/INT_LT_TOTAL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_lt_mono_pos_l'#@#variant 'hl/thm/int/INT_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_nge' 'hl/thm/int/INT_NOT_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_add_le' 'hl/thm/real/REAL_ABS_TRIANGLE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sub_diag' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_REFL_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_oppc' 'hl/thm/Multivariate/transcendentals/CX_COS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_eq_le_incl' 'hl/thm/real/REAL_EQ_IMP_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_1_mul_pos'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_LT_1_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_tan_gt_0'#@#variant 'hl/thm/Library/transc/SIN_POS_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_mod_idemp_l' 'hl/thm/arith/MOD_EXP_MOD_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_shuffle3' 'hl/thm/int/INT_ADD_AC_2'
0. 'coq/Coq_ZArith_Znat_Z2N_inj_quot2' 'hl/thm/Multivariate/complexes/IM_CNJ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_sub_le' 'hl/thm/arith/DIV_LT_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rle_antisym' 'hl/thm/Library/analysis/LESS_EQUAL_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div2_div'#@#variant 'hl/thm/arith/ADD1_'#@#variant
0. 'coq/Coq_ZArith_Zsqrt_compat_Zsqrt_plain_is_pos'#@#variant 'hl/thm/Library/pratt/PHI_LOWERBOUND_1_STRONG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_sub_r' 'hl/thm/Complex/cpoly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_refl' 'hl/thm/Library/integer/INT_DIVIDES_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mod_0_l' 'hl/thm/arith/DIV_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_even_spec' 'hl/thm/Multivariate/complexes/real_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qplus_inj_l' 'hl/thm/real/REAL_LE_LADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_pos'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_POS_LT_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lcm_0_r' 'hl/thm/Library/prime/INDEX_0_'#@#variant
0. 'coq/Coq_Structures_OrderedTypeEx_PositiveOrderedTypeBits_bits_lt_antirefl' 'hl/thm/int/INT_LT_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_shuffle3' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_AC_2'
0. 'coq/Coq_NArith_BinNat_N_lt_1_r'#@#variant 'hl/thm/Library/transc/LESS_1_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_log2_up_le_lin'#@#variant 'hl/thm/Library/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_sub_triangle' 'hl/thm/int/INT_SUB_ABS_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_0_l' 'hl/thm/realax/NADD_LE_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_le_compat_l' 'hl/thm/real/REAL_LT_LADD_IMP_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sub_succ' 'hl/thm/int/INT_NEG_MUL2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_null_iff' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_EQ_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_refl' 'hl/thm/realax/TREAL_EQ_REFL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_succ_inj_wd' 'hl/thm/Complex/complexnumbers/CNJ_INJ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_1_r'#@#variant 'hl/thm/Library/transc/LESS_1_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lt_succ_r' 'hl/thm/arith/LT_SUC_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_nle_gt' 'hl/thm/realarith/REAL_NOT_LT_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_succ_r' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_RMUL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_nlt' 'hl/thm/int/INT_LT_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_gt' 'hl/thm/int/int_lt_'
0. 'coq/Coq_ZArith_Zpower_two_p_gt_ZERO'#@#variant 'hl/thm/real/REAL_INV_LE_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_divide/0' 'hl/thm/Library/analysis/SUB_LESS_EQ_'
0. 'coq/Coq_NArith_BinNat_N_odd_2'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_mod_idemp_r' 'hl/thm/arith/MOD_MULT_RMOD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_Zpos' 'hl/thm/int/INT_OF_NUM_LT_'
0. 'coq/Coq_PArith_BinPos_Pos_max_lub_lt_iff' 'hl/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_NArith_BinNat_N_max_lub_r' 'hl/thm/Library/integer/INT_DIVIDES_LMUL2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_glb_lt_iff' 'hl/thm/int/INT_LT_MIN_'
0. 'coq/Coq_ZArith_BinInt_Z_divide_opp_r' 'hl/thm/Library/integer/INT_DIVIDES_RABS_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_le_mono' 'hl/thm/arith/FACT_MONO_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_nonneg_l'#@#variant 'hl/thm/real/REAL_LT_LMUL_'#@#variant
0. 'coq/Coq_QArith_Qreals_Q2R_opp' 'hl/thm/int/int_neg_th_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div2_nonneg'#@#variant 'hl/thm/Library/floor/RATIONAL_NEG_EQ_'
0. 'coq/Coq_Arith_PeanoNat_Nat_min_glb_iff' 'hl/thm/int/INT_LE_MIN_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_le_mono_r_iff'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LE_EQ_'#@#variant
0. 'coq/Coq_Reals_Rtrigo_calc_Rlt_3PI2_2PI'#@#variant 'hl/thm/Library/calc_real/REAL_EXP_13_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_Zpos' 'hl/thm/int/INT_OF_NUM_GE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_succ_l' 'hl/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_1_r'#@#variant 'hl/thm/Library/transc/LESS_1_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_log2_lor'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_DIV_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_succ_l' 'hl/thm/arith/ADD_CLAUSES_2'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_pos'#@#variant 'hl/thm/Library/transc/LN_POS_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_lt_mono_r' 'hl/thm/arith/LT_ADD_RCANCEL_'
0. 'coq/Coq_Reals_RIneq_Rinv_0_lt_compat'#@#variant 'hl/thm/Library/floor/RATIONAL_INV_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_pos_nonneg'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_LE_1_'#@#variant
0. 'coq/Coq_Reals_RIneq_Ropp_involutive' 'hl/thm/Multivariate/complexes/CNJ_CNJ_'#@#variant
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_l2i_i2l'#@#variant 'hl/thm/Multivariate/complexes/RE_CX_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_1_l'#@#variant 'hl/thm/realarith/REAL_POLY_NEG_CLAUSES_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_pos' 'hl/thm/real/REAL_SGN_INEQS_2'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_pos_nonneg'#@#variant 'hl/thm/int/INT_LTE_ADD_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_trichotomy' 'hl/thm/real/REAL_LT_TOTAL_'
0. 'coq/Coq_Reals_Ratan_Datan_seq_pos'#@#variant 'hl/thm/real/REAL_POW_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_le_compat_l' 'hl/thm/realax/NADD_LE_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_lub_r' 'hl/thm/Library/prime/DIVIDES_LMUL2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_le_mono' 'hl/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_even_0' 'hl/thm/nums/ZERO_DEF_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_ge_le_iff' 'hl/thm/realax/real_gt_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_0_r' 'hl/thm/arith/MULT_0_'#@#variant
0. 'coq/Coq_Reals_Ratan_Ropp_div' 'hl/thm/int/INT_NEG_LMUL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_le_mono_l' 'hl/thm/realax/HREAL_LE_ADD_LCANCEL_'
0. 'coq/Coq_QArith_Qround_Qfloor_Z' 'hl/thm/Multivariate/complexes/RE_CX_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_add_r' 'hl/thm/Library/prime/DIVIDES_SUB_'
0. 'coq/Coq_NArith_BinNat_N_add_lt_mono_l' 'hl/thm/realax/NADD_LE_LADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_land_0_r' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_pos'#@#variant 'hl/thm/real/REAL_LE_INV_EQ_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_pos'#@#variant 'hl/thm/Library/floor/INTEGER_ABS_'
0. 'coq/Coq_PArith_BinPos_Pos_lt_total' 'hl/thm/Library/analysis/LESS_LESS_CASES_'
0. 'coq/Coq_ZArith_BinInt_Z2Pos_inj_double'#@#variant 'hl/thm/Multivariate/complexes/CX_SQRT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_shuffle3' 'hl/thm/real/REAL_MIN_ACI_2'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_divide_add_cancel_l' 'hl/thm/Library/integer/INT_DIVIDES_ADD_REVL_'
0. 'coq/Coq_NArith_BinNat_N_add_succ_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LNEG_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_le_compat_r' 'hl/thm/Library/prime/DIVIDES_MUL_R_'
0. 'coq/Coq_NArith_BinNat_N_lt_nge' 'hl/thm/Library/analysis/real_le_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_nonneg'#@#variant 'hl/thm/Library/analysis/REAL_LE_MUL2V_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_le_mono_l' 'hl/thm/realax/HREAL_LE_ADD_LCANCEL_'
0. 'coq/Coq_NArith_BinNat_N_mul_divide_mono_r' 'hl/thm/Library/prime/LESS_MONO_ADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_pos'#@#variant 'hl/thm/real/REAL_SGN_INEQS_0'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_T_OMEGA11_stable' 'hl/thm/Library/multiplicative/MULTIPLICATIVE_PHI_'
0. 'coq/Coq_ZArith_BinInt_Z_add_shuffle3' 'hl/thm/int/INT_MUL_AC_2'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_lt_iff' 'hl/thm/int/INT_LE_MAX_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_inj_wd' 'hl/thm/Multivariate/complexes/CNJ_INJ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_lt_mono_l' 'hl/thm/realax/NADD_LE_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_null'#@#variant 'hl/thm/real/REAL_SGN_EQ_1'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_ge' 'hl/thm/int/int_lt_'
0. 'coq/Coq_Bool_Bool_xorb_negb_negb' 'hl/thm/real/REAL_NEG_MUL2_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_min_l' 'hl/thm/int/INT_MIN_MIN_/0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_land' 'hl/thm/Library/transc/REAL_EXP_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_lt_mono_pos_l'#@#variant 'hl/thm/int/INT_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pred_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LE_'
0. 'coq/Coq_NArith_BinNat_N_sub_succ' 'hl/thm/real/REAL_NEG_MUL2_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_le_lin'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_LT_X_'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_id' 'hl/thm/Library/floor/INT_OF_REAL_OF_INT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_lt_mono_l' 'hl/thm/arith/EXP_MONO_LT_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_odd_2'#@#variant 'hl/thm/Multivariate/complexes/IM_II_'#@#variant
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_succ' 'hl/thm/Complex/complex_transc/CX_CCOS_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sub_add_distr' 'hl/thm/Library/prime/EXP_EXP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_lt_lin' 'hl/thm/Multivariate/transcendentals/ATN_LE_X_'
0. 'coq/Coq_PArith_BinPos_Pos_min_le_compat_r' 'hl/thm/arith/EXP_MONO_LE_IMP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_glb_lt_iff' 'hl/thm/int/INT_LT_MIN_'
0. 'coq/Coq_NArith_BinNat_N_div2_double' 'hl/thm/arith/PRE_1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_pred' 'hl/thm/Complex/complex_transc/CEXP_NEG_'
0. 'coq/Coq_ZArith_BinInt_Z_abs_pow' 'hl/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_ge_cases' 'hl/thm/realarith/REAL_LTE_TOTAL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_refl' 'hl/thm/int/INT_LE_REFL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_cancel_r' 'hl/thm/arith/EQ_ADD_RCANCEL_'
0. 'coq/Coq_ZArith_BinInt_Z_sgn_null_iff' 'hl/thm/real/REAL_INV_EQ_0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_succ_le' 'hl/thm/Library/floor/FLOOR_DOUBLE_/0'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_le_mono_r' 'hl/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_le_lin'#@#variant 'hl/thm/Library/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_succ_r' 'hl/thm/int/INT_MUL_RNEG_'
0. 'coq/Coq_Arith_Mult_mult_le_compat_r' 'hl/thm/Library/prime/DIVIDES_MUL_R_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_eq_0_gt_0_cases'#@#variant 'hl/thm/arith/LE_1_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_refl' 'hl/thm/Complex/cpoly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_lt_mono_nonneg'#@#variant 'hl/thm/real/REAL_LT_MUL2_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_glb_lt_iff' 'hl/thm/real/REAL_LT_MIN_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_add_lt_sub_r' 'hl/thm/real/REAL_LE_SUB_RADD_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_1_mul_pos'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_LT_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_le_mono_r' 'hl/thm/realax/HREAL_LE_ADD_RCANCEL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_le_mono' 'hl/thm/Library/transc/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_ZArith_Zdiv_Zmod_0_r' 'hl/thm/calc_int/REAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_log2_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LT_'
0. 'coq/Coq_ZArith_BinInt_Z_opp_pred' 'hl/thm/Library/transc/REAL_EXP_NEG_'
0. 'coq/Coq_QArith_Qminmax_Q_le_max_l' 'hl/thm/real/REAL_MAX_MAX_/0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_refl' 'hl/thm/realax/TREAL_EQ_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_le_compat_l' 'hl/thm/Library/prime/DIVIDES_MUL_L_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_le_lin'#@#variant 'hl/thm/Library/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_1_mul_pos'#@#variant 'hl/thm/realarith/REAL_LTE_ADD_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_log2' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_INV_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_add_r' 'hl/thm/realax/NADD_LE_ADD_'
0. 'coq/Coq_QArith_Qround_Qfloor_Z' 'hl/thm/Multivariate/vectors/LIFT_DROP_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_clearbit_spec_prime'#@#variant 'hl/thm/Complex/complexnumbers/complex_sub_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_gt_lt_iff' 'hl/thm/realax/real_gt_'
0. 'coq/Coq_Reals_RIneq_Rmult_0_r' 'hl/thm/calc_int/REAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_mod_idemp_l' 'hl/thm/arith/MOD_EXP_MOD_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_cos_neg' 'hl/thm/real/REAL_SGN_INV_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_gt' 'hl/thm/int/num_divides_'
0. 'coq/Coq_NArith_Ndigits_Ndouble_plus_one_bit0' 'hl/thm/Library/analysis/POW_MINUS1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_div_same'#@#variant 'hl/thm/real/REAL_DIV_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_le_mono_l' 'hl/thm/arith/LE_ADD_LCANCEL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_pos_l'#@#variant 'hl/thm/int/INT_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lor_0_l' 'hl/thm/arith/MULT_CLAUSES_2'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_le_lteq' 'hl/thm/realarith/REAL_LE_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_le_mono_r_iff'#@#variant 'hl/thm/int/INT_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_2' 'hl/thm/realax/HREAL_INV_0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_succ_diag_r' 'hl/thm/int/INT_ABS_LE_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_lt_iff' 'hl/thm/int/INT_MIN_LE_'
0. 'coq/Coq_ZArith_BinInt_Z_ldiff_land' 'hl/thm/int/INT_SUB_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lcm_1_r' 'hl/thm/arith/ADD_0_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_gt_cases' 'hl/thm/int/INT_LET_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lcm_divide_iff' 'hl/thm/int/INT_MAX_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_reg_r' 'hl/thm/real/REAL_EQ_RCANCEL_IMP_'#@#variant
0. 'coq/Coq_Reals_RIneq_double_var'#@#variant 'hl/thm/Library/analysis/REAL_HALF_DOUBLE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pred_div2_up' 'hl/thm/Complex/complexnumbers/CX_INV_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_lt_iff' 'hl/thm/int/INT_LE_MAX_'
0. 'coq/Coq_Reals_Rtrigo1_tan_neg' 'hl/thm/Multivariate/transcendentals/SIN_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_le_trans' 'hl/thm/arith/LTE_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_nonneg_cancel_r'#@#variant 'hl/thm/real/REAL_LE_MUL_EQ_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_succ_diag_r' 'hl/thm/Library/analysis/LESS_EQ_SUC_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_square_spec' 'hl/thm/arith/MULT_2_'#@#variant
0. 'coq/Coq_Arith_EqNat_eq_nat_refl' 'hl/thm/realax/REAL_LE_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_clearbit_spec_prime'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_RNEG_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gt_lt_iff' 'hl/thm/arith/GE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_nonneg_cancel_l'#@#variant 'hl/thm/int/INT_LE_MUL_EQ_0'#@#variant
0. 'coq/Coq_Numbers_Cyclic_Int31_Ring31_Int31ring_add_assoc'#@#variant 'hl/thm/realax/NADD_ADD_ASSOC_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_greatest' 'hl/thm/Library/integer/INT_DIVIDES_ADD_'
0. 'coq/Coq_Reals_Ratan_Datan_seq_pos'#@#variant 'hl/thm/real/REAL_POW_LT_'#@#variant
0. 'coq/Coq_ZArith_Zeven_Zquot2_opp' 'hl/thm/real/REAL_SGN_NEG_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_lt_lin'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_LE_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_sub' 'hl/thm/int/INT_SUB_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_inj_wd' 'hl/thm/Multivariate/complexes/CNJ_INJ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_lt_mono_pos_l'#@#variant 'hl/thm/real/REAL_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_nge' 'hl/thm/arith/NOT_LT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_nonneg_r'#@#variant 'hl/thm/real/REAL_LE_RMUL_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_odd_1'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Zpred_succ' 'hl/thm/Library/transc/ATN_TAN_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_m1_0'#@#variant 'hl/thm/Multivariate/transcendentals/PI2_BOUNDS_1'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lt_irrefl' 'hl/thm/realarith/REAL_LT_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_lt_lin' 'hl/thm/Multivariate/transcendentals/ATN_LE_X_'
0. 'coq/Coq_ZArith_BinInt_Z_lnot_involutive' 'hl/thm/Complex/complexnumbers/CNJ_CNJ_'
0. 'coq/Coq_ZArith_Znat_Zabs2Nat_inj_0' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_le_compat_r' 'hl/thm/Library/integer/INT_DIVIDES_MUL_R_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_le_compat_r' 'hl/thm/Library/prime/LESS_MONO_ADD_'
0. 'coq/Coq_Arith_EqNat_eq_eq_nat' 'hl/thm/realax/TREAL_EQ_AP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_le_mono' 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_QArith_Qabs_Qabs_triangle_reverse' 'hl/thm/real/REAL_SUB_ABS_'
0. 'coq/Coq_ZArith_Znat_Zabs2Nat_inj_pred'#@#variant 'hl/thm/Multivariate/complexes/CSQRT_CX_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_lt_mono_r' 'hl/thm/arith/LT_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div_small' 'hl/thm/arith/DIV_LT_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_le_iff' 'hl/thm/real/REAL_MIN_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_succ_diag_r' 'hl/thm/arith/LT_POW2_REFL_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rle_max_compat_l' 'hl/thm/realax/NADD_LE_LMUL_'
0. 'coq/Coq_ZArith_BinInt_Z_divide_add_cancel_r' 'hl/thm/Library/integer/INT_DIVIDES_ADD_REVR_'
0. 'coq/Coq_Reals_R_sqr_Rsqr_neg' 'hl/thm/Multivariate/vectors/REAL_SGN_SQRT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_le_compat_r' 'hl/thm/Library/prime/DIVIDES_EXP_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_le_iff' 'hl/thm/real/REAL_MIN_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div_same'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_DIV_REFL_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_quot2' 'hl/thm/Multivariate/complexes/IM_CNJ_'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_iff' 'hl/thm/realax/HREAL_OF_NUM_EQ_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_xO'#@#variant 'hl/thm/Multivariate/transcendentals/CX_EXP_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_pos_r'#@#variant 'hl/thm/real/REAL_LT_DIV2_EQ_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_neq_succ_0' 'hl/thm/Complex/complex_transc/CEXP_NONZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_shuffle3' 'hl/thm/real/REAL_MIN_ACI_2'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_ngt' 'hl/thm/realax/real_lt_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_ge' 'hl/thm/int/num_divides_'
0. 'coq/Coq_Arith_Mult_mult_lt_compat_r'#@#variant 'hl/thm/real/REAL_LE_RMUL_'#@#variant
0. 'coq/Coq_Reals_R_sqr_Rsqr_abs' 'hl/thm/Multivariate/transcendentals/COS_NEG_'
0. 'coq/Coq_setoid_ring_BinList_jump_add' 'hl/thm/Multivariate/vectors/VECTOR_MUL_ASSOC_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_involutive' 'hl/thm/Multivariate/complexes/COMPLEX_INV_INV_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_id' 'hl/thm/real/REAL_MIN_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_div_mul' 'hl/thm/real/REAL_DIV_RMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_lt' 'hl/thm/real/REAL_BOUNDS_LT_'
0. 'coq/Coq_NArith_BinNat_N_log2_up_le_lin'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_LE_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_mod_idemp_r' 'hl/thm/arith/MOD_MULT_RMOD_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_id' 'hl/thm/int/INT_MIN_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_id' 'hl/thm/int/INT_MIN_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_le_trans' 'hl/thm/realarith/REAL_LTE_TRANS_'
0. 'coq/Coq_Reals_Rbasic_fun_abs_IZR' 'hl/thm/Multivariate/transcendentals/CX_EXP_'#@#variant
0. 'coq/Coq_Reals_RIneq_Req_le' 'hl/thm/real/REAL_EQ_IMP_LE_'
0. 'coq/Coq_Reals_Rbasic_fun_Rmin_l' 'hl/thm/Library/analysis/SUB_LESS_EQ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_lxor_l' 'hl/thm/arith/ADD_CLAUSES_2'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_lt_mono_pos_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LE_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_le_lin'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_LT_X_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div2_div'#@#variant 'hl/thm/arith/ADD1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_pos'#@#variant 'hl/thm/Multivariate/vectors/SQRT_LT_0_'#@#variant
0. 'coq/Coq_QArith_Qminmax_Q_min_lt_iff' 'hl/thm/int/INT_MIN_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lcm_0_r' 'hl/thm/calc_int/REAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_Init_Peano_O_S' 'hl/thm/Complex/complex_transc/CEXP_NONZERO_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_nlt_ge' 'hl/thm/realarith/REAL_NOT_LT_'
0. 'coq/Coq_ZArith_BinInt_Zplus_succ_r_reverse' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_le_mono_l_iff' 'hl/thm/Library/prime/DIVIDES_EXP2_EQ_'#@#variant
0. 'coq/Coq_Reals_Rtopology_compact_P2' 'hl/thm/Multivariate/realanalysis/REAL_LEBESGUE_MEASURABLE_OPEN_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_inj_wd' 'hl/thm/Multivariate/transcendentals/REAL_EXP_INJ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_shuffle3' 'hl/thm/real/REAL_MUL_AC_2'
0. 'coq/Coq_Bool_Bool_diff_true_false' 'hl/thm/Multivariate/transcendentals/PI_NZ_'#@#variant
0. 'coq/Coq_Reals_Rtopology_compact_P1' 'hl/thm/Multivariate/realanalysis/REAL_LEBESGUE_MEASURABLE_OPEN_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_mod' 'hl/thm/arith/MOD_ADD_MOD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_refl' 'hl/thm/realax/REAL_LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_lt_mono_r' 'hl/thm/int/INT_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_null_iff' 'hl/thm/real/REAL_SGN_INEQS_9'#@#variant
0. 'coq/Coq_NArith_Ndist_le_ni_le' 'hl/thm/Library/calc_real/REAL_MONO_POW2_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_lt' 'hl/thm/real/REAL_ABS_BOUNDS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div2_succ_double' 'hl/thm/Multivariate/transcendentals/ATN_TAN_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_succ' 'hl/thm/Complex/complex_transc/CX_CSIN_'
0. 'coq/Coq_ZArith_BinInt_Z_sgn_nonneg'#@#variant 'hl/thm/Multivariate/vectors/SQRT_LT_0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_nonneg' 'hl/thm/real/REAL_SGN_INEQS_3'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_max_r' 'hl/thm/real/REAL_MAX_MAX_/1'
0. 'coq/Coq_ZArith_Znat_Z2Nat_inj_pred' 'hl/thm/Multivariate/transcendentals/CX_COS_'#@#variant
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_div2' 'hl/thm/Multivariate/transcendentals/CX_TAN_'#@#variant
0. 'coq/Coq_Reals_Ratan_ps_atan_opp' 'hl/thm/Multivariate/transcendentals/TAN_NEG_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_quot_same'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_DIV_REFL_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_nonneg_pos'#@#variant 'hl/thm/int/INT_LET_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_succ_r' 'hl/thm/arith/EXP_1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_mod_idemp_l' 'hl/thm/arith/MOD_MULT_LMOD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_le_mono' 'hl/thm/Library/transc/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Arith_PeanoNat_Nat_max_lub_l' 'hl/thm/Library/integer/INT_DIVIDES_RMUL2_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_add_r' 'hl/thm/Library/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_le_max_r' 'hl/thm/arith/LE_ADDR_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_add_diag_r' 'hl/thm/realax/HREAL_LE_ADD_'
0. 'coq/Coq_ZArith_BinInt_Z_nlt_ge' 'hl/thm/arith/NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_lub_iff' 'hl/thm/int/INT_MAX_LE_'
0. 'coq/Coq_Reals_RIneq_Rplus_lt_compat_r' 'hl/thm/Library/prime/DIVIDES_MUL_R_'
0. 'coq/Coq_Reals_ROrderedType_ROrder_le_lt_trans' 'hl/thm/arith/LET_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_succ_diag_r' 'hl/thm/arith/LT_POW2_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_le_compat_r' 'hl/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_pow' 'hl/thm/calc_int/REAL_MUL_LNEG_'
0. 'coq/__constr_Coq_Init_Peano_le_0_1' 'hl/thm/Library/integer/INT_DIVIDES_REFL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_lt_iff' 'hl/thm/int/INT_MIN_LE_'
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_1_l'#@#variant 'hl/thm/arith/LE_0_'#@#variant
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_double'#@#variant 'hl/thm/Multivariate/transcendentals/CX_TAN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_divide_cancel_l' 'hl/thm/Library/integer/INT_DIVIDES_LMUL2_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_0_l' 'hl/thm/Library/integer/INT_DIVIDES_1_'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_gt_lt_iff' 'hl/thm/arith/GT_'
0. 'coq/Coq_QArith_Qminmax_Q_le_min_l' 'hl/thm/int/INT_MIN_MIN_/0'
0. 'coq/Coq_ZArith_BinInt_Z_sgn_abs' 'hl/thm/real/REAL_SGN_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_1_l'#@#variant 'hl/thm/realax/REAL_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_le_mono_nonneg'#@#variant 'hl/thm/real/REAL_LT_MUL2_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_1_l' 'hl/thm/int/INT_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_lt_iff' 'hl/thm/int/INT_MIN_LT_'
0. 'coq/Coq_Arith_PeanoNat_Nat_min_glb_lt' 'hl/thm/Library/integer/INT_DIVIDES_SUB_'
0. 'coq/Coq_QArith_Qcanon_Qclt_le_weak' 'hl/thm/realarith/REAL_LT_IMP_LE_'
0. 'coq/Coq_ZArith_BinInt_Z_min_glb' 'hl/thm/Library/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_le_mono_pos_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LE_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_diag'#@#variant 'hl/thm/real/REAL_MUL_2_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sub_move_0_r' 'hl/thm/int/INT_SUB_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_even_1'#@#variant 'hl/thm/nums/ZERO_DEF_'
0. 'coq/Coq_Arith_PeanoNat_Nat_max_lub_iff' 'hl/thm/real/REAL_MAX_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_le_compat_r' 'hl/thm/Library/prime/DIVIDES_MUL_R_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mod_small' 'hl/thm/arith/MOD_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_le' 'hl/thm/real/REAL_BOUNDS_LT_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_lt_trans' 'hl/thm/int/INT_LET_TRANS_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_pos_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LT_EQ_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rle_or_lt' 'hl/thm/int/INT_LTE_TOTAL_'
0. 'coq/Coq_NArith_BinNat_N_div2_succ_double' 'hl/thm/Multivariate/transcendentals/CCOS_CACS_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_div' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_TRIANGLE_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_xO'#@#variant 'hl/thm/Complex/complexnumbers/CX_NEG_'
0. 'coq/Coq_ZArith_BinInt_Z_lcm_1_l'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div2_neg' 'hl/thm/int/INT_SGN_INEQS_5'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_shuffle3' 'hl/thm/real/REAL_MUL_AC_2'
0. 'coq/Coq_QArith_QArith_base_Qeq_refl' 'hl/thm/Multivariate/misc/GE_REFL_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_succ' 'hl/thm/Multivariate/transcendentals/CX_ATN_'#@#variant
0. 'coq/Coq_Init_Peano_le_0_n' 'hl/thm/Library/integer/INT_DIVIDES_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_eq_0' 'hl/thm/realarith/REAL_ENTIRE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_irrefl' 'hl/thm/realarith/REAL_LT_REFL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lcm_1_l' 'hl/thm/Complex/complexnumbers/COMPLEX_POLY_NEG_CLAUSES_0'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_assoc' 'hl/thm/realax/TREAL_MUL_ASSOC_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lor_0_l' 'hl/thm/int/INT_ADD_LID_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rinv_0_lt_compat'#@#variant 'hl/thm/Library/pratt/PHI_LOWERBOUND_1_STRONG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_cancel_r' 'hl/thm/arith/EQ_ADD_RCANCEL_'
0. 'coq/Coq_Reals_RIneq_Ropp_minus_distr_prime' 'hl/thm/real/REAL_INV_DIV_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_pred_l' 'hl/thm/Multivariate/transcendentals/REAL_INV_RPOW_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_1_r' 'hl/thm/realax/HREAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_0_sub'#@#variant 'hl/thm/int/INT_SUB_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_le_mono' 'hl/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_le_mono_r' 'hl/thm/int/INT_LT_RADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_2' 'hl/thm/realax/HREAL_INV_0_'
0. 'coq/Coq_ZArith_BinInt_Z_lcm_eq_0' 'hl/thm/int/INT_ENTIRE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_add' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_ADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_lt_mono_r' 'hl/thm/realax/NADD_LE_RADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_le_iff' 'hl/thm/real/REAL_MIN_LT_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_le_compat_l' 'hl/thm/Library/integer/INT_DIVIDES_MUL_L_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_nonneg'#@#variant 'hl/thm/Library/floor/INTEGER_NEG_'
0. 'coq/Coq_ZArith_Zorder_Zsucc_gt_compat' 'hl/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_le' 'hl/thm/real/REAL_ABS_BOUNDS_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_nle' 'hl/thm/int/INT_NOT_LT_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_succ_l' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lcm_1_l'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div2_neg' 'hl/thm/int/INT_SGN_INEQS_8'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_even_0' 'hl/thm/nums/ZERO_DEF_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_pos'#@#variant 'hl/thm/Multivariate/vectors/SQRT_LT_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_le_compat_l' 'hl/thm/int/INT_LE_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_rem_opp_l_prime' 'hl/thm/Multivariate/transcendentals/RPOW_INV_'
0. 'coq/Coq_ZArith_Zquot_Zquot_opp_r' 'hl/thm/real/REAL_NEG_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_le_trans' 'hl/thm/int/INT_LTE_TRANS_'
0. 'coq/Coq_ZArith_BinInt_Z_add_simpl_r' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_ADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_nonneg'#@#variant 'hl/thm/real/REAL_LE_MUL2_'#@#variant
0. 'coq/Coq_Reals_RIneq_Ropp_div' 'hl/thm/int/INT_NEG_LMUL_'
0. 'coq/Coq_QArith_Qminmax_Q_max_assoc' 'hl/thm/realax/TREAL_ADD_ASSOC_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_odd_0' 'hl/thm/Multivariate/complexes/RE_II_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_xI_succ_xO' 'hl/thm/calc_num/ARITH_9'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_gcd_divide_r' 'hl/thm/real/REAL_MIN_MIN_/1'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_pred' 'hl/thm/Multivariate/complexes/IM_CNJ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_lt_mono_l' 'hl/thm/arith/LT_ADD_LCANCEL_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_gt' 'hl/thm/realax/REAL_OF_NUM_LE_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_divide' 'hl/thm/int/INT_OF_NUM_GE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_0_iff' 'hl/thm/int/INT_NEG_EQ_0_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_divide_mul_r' 'hl/thm/Library/integer/INT_DIVIDES_LMUL_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_div2' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_INV_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lcm_0_r' 'hl/thm/calc_int/REAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_Bool_Bool_orb_true_iff' 'hl/thm/arith/MULT_EQ_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_lt_mono_r' 'hl/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lcm_1_l'#@#variant 'hl/thm/realax/REAL_ADD_LID_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pplus_one_succ_l' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_refl' 'hl/thm/Complex/cpoly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_le_mono_l' 'hl/thm/realax/HREAL_LE_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_le_mono' 'hl/thm/Multivariate/transcendentals/ATN_MONO_LT_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_pred_double_spec' 'hl/thm/nums/BIT1_DEF_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_lub_r' 'hl/thm/Library/prime/DIVIDES_LMUL2_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_inj_wd' 'hl/thm/Multivariate/complexes/CNJ_INJ_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sqrt_mul_below' 'hl/thm/real/REAL_SUB_ABS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_pred' 'hl/thm/Multivariate/transcendentals/CCOS_CACS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_cancel_l' 'hl/thm/realax/HREAL_EQ_ADD_LCANCEL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_lt_mono_r' 'hl/thm/int/INT_LT_RADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_pos'#@#variant 'hl/thm/Multivariate/transcendentals/REAL_EXP_LT_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_setbit_spec_prime'#@#variant 'hl/thm/int/INT_SUB_RNEG_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div2_succ_double' 'hl/thm/Multivariate/transcendentals/ATN_TAN_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_inj_wd' 'hl/thm/Library/transc/REAL_EXP_INJ_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_r' 'hl/thm/Library/prime/LESS_MONO_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_refl' 'hl/thm/arith/LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_lub_lt_iff' 'hl/thm/int/INT_MAX_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_greatest' 'hl/thm/Library/prime/DIVIDES_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_diag' 'hl/thm/real/REAL_MUL_2_'#@#variant
0. 'coq/Coq_Reals_PartSum_uniqueness_sum' 'hl/thm/Library/analysis/SEQ_UNIQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_le_mono_l' 'hl/thm/realax/HREAL_LE_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_0_l' 'hl/thm/arith/LE_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_asymm' 'hl/thm/int/INT_LT_GT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_nonneg_r'#@#variant 'hl/thm/int/INT_LE_RMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_inj_wd' 'hl/thm/Complex/complexnumbers/CNJ_INJ_'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_lt_mono_r'#@#variant 'hl/thm/real/REAL_LT_LMUL_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mod_1_r'#@#variant 'hl/thm/arith/EXP_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_l' 'hl/thm/int/INT_LE_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_null_iff' 'hl/thm/calc_num/ARITH_50'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lor_0_l' 'hl/thm/arith/MULT_CLAUSES_2'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_max' 'hl/thm/real/REAL_SGN_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_pos'#@#variant 'hl/thm/Multivariate/transcendentals/REAL_EXP_LT_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_1_r' 'hl/thm/Library/prime/INDEX_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_ge_cases' 'hl/thm/realarith/REAL_LTE_TOTAL_'
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_nonneg' 'hl/thm/Multivariate/transcendentals/ATN_BOUNDS_/0'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_1_r'#@#variant 'hl/thm/int/INT_MUL_RZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_le_mono_r' 'hl/thm/int/INT_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_lt_mono_pos_r'#@#variant 'hl/thm/real/REAL_LT_RMUL_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_le_compat_l' 'hl/thm/realax/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_lub_lt_iff' 'hl/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_pred_succ' 'hl/thm/Multivariate/transcendentals/LOG_EXP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_0_r'#@#variant 'hl/thm/Library/prime/INDEX_1_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_shuffle3' 'hl/thm/realax/HREAL_ADD_AC_2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_even_opp' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_lt_mono_l' 'hl/thm/int/INT_LE_LADD_'
0. 'coq/Coq_Reals_Rtrigo1_COS_bound/1' 'hl/thm/calc_num/ARITH_83'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_2'#@#variant 'hl/thm/Multivariate/complexes/IM_II_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_pred_succ' 'hl/thm/Library/transc/LN_EXP_'
0. 'coq/Coq_NArith_BinNat_N_shiftl_succ_r' 'hl/thm/Multivariate/transcendentals/RPOW_NEG_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_land_m1_l'#@#variant 'hl/thm/realax/REAL_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftl_1_l'#@#variant 'hl/thm/int/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_opp_involutive' 'hl/thm/Multivariate/complexes/CNJ_CNJ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pred_succ' 'hl/thm/Multivariate/transcendentals/LOG_EXP_'
0. 'coq/__constr_Coq_Arith_Even_even_1_1' 'hl/thm/Library/pocklington/PHI_LOWERBOUND_1_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_lt_iff' 'hl/thm/real/REAL_MIN_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_le_mono' 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftr_opp_r' 'hl/thm/Complex/complexnumbers/complex_sub_'
0. 'coq/Coq_Reals_Rpower_sinh_arcsinh' 'hl/thm/Multivariate/transcendentals/CCOS_CACS_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_eq_0' 'hl/thm/arith/MULT_EQ_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_involutive' 'hl/thm/real/REAL_SGN_REAL_SGN_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_square_spec' 'hl/thm/arith/BIT0_'
0. 'coq/Coq_PArith_BinPos_Pos_min_id' 'hl/thm/real/REAL_MIN_ACI_3'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_ge' 'hl/thm/realax/REAL_OF_NUM_LE_'
0. 'coq/Coq_NArith_BinNat_N_pow_0_r'#@#variant 'hl/thm/Library/prime/INDEX_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_sub_le_add_r' 'hl/thm/int/INT_LT_ADD_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_le_mono_nonneg'#@#variant 'hl/thm/Library/analysis/REAL_LT_MUL2_ALT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_le_lin'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_LE_X_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qmult_le_r'#@#variant 'hl/thm/real/REAL_LE_RMUL_EQ_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_0_l' 'hl/thm/realax/NADD_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_nonpos' 'hl/thm/calc_num/ARITH_92'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_pos'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_POS_LE_'#@#variant
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_double' 'hl/thm/Complex/complexnumbers/CX_NEG_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_add_lt_sub_r' 'hl/thm/int/INT_LT_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_lt_mono_r'#@#variant 'hl/thm/real/REAL_LT_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_nonneg_cancel_l'#@#variant 'hl/thm/int/INT_LE_MUL_EQ_0'#@#variant
0. 'coq/Coq_ZArith_Znat_Z2N_inj_div2' 'hl/thm/Multivariate/complexes/CX_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_add_lt_sub_r' 'hl/thm/real/REAL_LT_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_odd_2'#@#variant 'hl/thm/nums/ZERO_DEF_'
0. 'coq/Coq_NArith_BinNat_N_lxor_nilpotent' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_divide/1' 'hl/thm/int/INT_MIN_MIN_/1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_opp_r' 'hl/thm/Complex/complexnumbers/complex_sub_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_lt_mono_l' 'hl/thm/arith/LT_ADD_LCANCEL_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_xO'#@#variant 'hl/thm/Complex/complexnumbers/CX_INV_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_greatest' 'hl/thm/Library/integer/INT_DIVIDES_ADD_'
0. 'coq/Coq_QArith_Qabs_Qabs_Qle_condition' 'hl/thm/int/INT_BOUNDS_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sub_succ' 'hl/thm/real/REAL_NEG_MUL2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_square_spec' 'hl/thm/arith/MULT_2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lor_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_max_1_l' 'hl/thm/realax/REAL_ADD_LID_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div2_nonneg' 'hl/thm/int/INT_SGN_INEQS_2'#@#variant
0. 'coq/Coq_Sets_Integers_Integers_infinite' 'hl/thm/Multivariate/topology/TRIVIAL_LIMIT_AT_NEGINFINITY_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_le_incl' 'hl/thm/realax/NADD_EQ_IMP_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lxor_lnot_lnot' 'hl/thm/int/INT_NEG_MUL2_'
0. 'coq/Coq_NArith_BinNat_N_succ_inj_wd' 'hl/thm/real/REAL_EQ_NEG2_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_0_l' 'hl/thm/Library/prime/DIVIDES_1_'#@#variant
0. 'coq/Coq_Reals_ROrderedType_ROrder_le_lt_trans' 'hl/thm/int/INT_LET_TRANS_'
0. 'coq/Coq_Reals_Rminmax_R_max_lub_iff' 'hl/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_null'#@#variant 'hl/thm/int/INT_SGN_EQ_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_odd_0' 'hl/thm/Multivariate/complexes/IM_II_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_add_le_sub_r' 'hl/thm/real/REAL_LE_SUB_LADD_'
0. 'coq/Coq_Arith_Gt_plus_gt_compat_l' 'hl/thm/int/INT_LE_LADD_IMP_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_pos'#@#variant 'hl/thm/Library/floor/INTEGER_CLOSED_0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_2' 'hl/thm/realax/HREAL_INV_0_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_succ_l' 'hl/thm/Multivariate/transcendentals/RPOW_INV_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_eq_iff'#@#variant 'hl/thm/Library/floor/REAL_FLOOR_EQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_succ_r' 'hl/thm/arith/LE_1'
0. 'coq/Coq_NArith_BinNat_N_le_0_l' 'hl/thm/arith/LE_0_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_gcd_0_l' 'hl/thm/int/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_Bool_Bool_eqb_reflx' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_lt_iff' 'hl/thm/real/REAL_LE_MAX_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_shuffle3' 'hl/thm/real/REAL_MIN_ACI_2'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_odd_0' 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rge_or_gt' 'hl/thm/realarith/REAL_LET_TOTAL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_refl' 'hl/thm/arith/LE_REFL_'
0. 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_le_lt_iff' 'hl/thm/int/INT_LT_'
0. 'coq/Coq_ZArith_Zorder_Zsucc_gt_compat' 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_lub_l' 'hl/thm/Library/prime/DIVIDES_RMUL2_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_pos'#@#variant 'hl/thm/Library/floor/RATIONAL_INV_EQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_min_r' 'hl/thm/real/REAL_MIN_MIN_/1'
0. 'coq/Coq_NArith_BinNat_N_lxor_eq_0_iff' 'hl/thm/int/INT_SUB_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_2' 'hl/thm/real/REAL_SGN_0_'
0. 'coq/Coq_NArith_BinNat_N_divide_factor_l' 'hl/thm/realax/NADD_LE_ADD_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_le_trans' 'hl/thm/int/INT_LTE_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_pos'#@#variant 'hl/thm/Library/transc/REAL_EXP_LT_1_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_le_sub_le_add_r' 'hl/thm/int/INT_LT_ADD_SUB_'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_pos'#@#variant 'hl/thm/Library/pratt/PHI_LOWERBOUND_2_'#@#variant
0. 'coq/Coq_QArith_Qreduction_Qred_opp' 'hl/thm/Complex/complexnumbers/CNJ_NEG_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_lt_mono_r' 'hl/thm/int/INT_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_pos'#@#variant 'hl/thm/Library/pratt/PHI_LOWERBOUND_2_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_sub_1_r' 'hl/thm/arith/ADD1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_land_0_r' 'hl/thm/calc_int/REAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_cancel_l' 'hl/thm/real/REAL_LE_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_pos_l'#@#variant 'hl/thm/int/INT_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_id' 'hl/thm/int/INT_MIN_ACI_3'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_shuffle3' 'hl/thm/int/INT_MIN_ACI_2'
0. 'coq/Coq_NArith_BinNat_N_pow_le_mono_l' 'hl/thm/realax/NADD_LE_RMUL_'
0. 'coq/Coq_PArith_BinPos_Pos_mul_xO_r' 'hl/thm/real/REAL_NEG_RMUL_'
0. 'coq/Coq_PArith_Pnat_Nat2Pos_inj_pred' 'hl/thm/int/int_abs_th_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lcm_0_r' 'hl/thm/Library/pocklington/ORDER_1_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_add_r' 'hl/thm/Complex/cpoly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_fourier_Fourier_util_Rle_zero_pos_plus1'#@#variant 'hl/thm/Multivariate/vectors/SQRT_POS_LT_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_land_diag' 'hl/thm/real/REAL_MAX_ACI_3'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_ones_equiv'#@#variant 'hl/thm/calc_num/ARITH_4'
0. 'coq/Coq_ZArith_BinInt_Z_mul_shuffle3' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_AC_2'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_mul_below' 'hl/thm/real/REAL_SUB_ABS_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_le_compat_r' 'hl/thm/realax/HREAL_LE_MUL_RCANCEL_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_lt_mono'#@#variant 'hl/thm/real/REAL_LE_MUL2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_add_le_sub_r' 'hl/thm/int/INT_LT_SUB_RADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LT_'
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_pos'#@#variant 'hl/thm/Library/integer/INT_PRIME_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_divide_mono_r' 'hl/thm/realax/HREAL_LE_MUL_RCANCEL_IMP_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_nonneg'#@#variant 'hl/thm/real/REAL_LT_INV_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_add_lt_sub_r' 'hl/thm/int/INT_LE_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div2_succ_double' 'hl/thm/arith/PRE_1'
0. 'coq/Coq_PArith_Pnat_SuccNat2Pos_inj_succ' 'hl/thm/Multivariate/complexes/CX_INV_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_abs_pow' 'hl/thm/arith/ADD_CLAUSES_2'
0. 'coq/Coq_FSets_FSetPositive_PositiveSet_eq_refl' 'hl/thm/int/INT_LE_REFL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_simpl_l' 'hl/thm/arith/ADD_SUB2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_1_l'#@#variant 'hl/thm/realax/REAL_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_lt_mono_l' 'hl/thm/realax/NADD_LE_LADD_'
0. 'coq/Coq_ZArith_Zdiv_Zmod_0_r' 'hl/thm/arith/MULT_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_nonneg'#@#variant 'hl/thm/Library/analysis/REAL_LT_MUL2_ALT_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rmin_r' 'hl/thm/int/INT_MIN_MIN_/1'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_total' 'hl/thm/real/REAL_LT_TOTAL_'
0. 'coq/Coq_Reals_R_sqrt_Rsqr_sqrt'#@#variant 'hl/thm/Library/transc/EXP_LN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_nge' 'hl/thm/arith/NOT_LE_'
0. 'coq/Coq_Reals_RIneq_Ropp_0_ge_le_contravar'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_POS_LT_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_div2' 'hl/thm/Multivariate/transcendentals/CX_ATN_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_opp_max_distr' 'hl/thm/Multivariate/transcendentals/REAL_EXP_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_lteq' 'hl/thm/realarith/REAL_LE_LT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_shuffle3' 'hl/thm/real/REAL_MIN_ACI_2'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_nonneg' 'hl/thm/Multivariate/transcendentals/ATN_BOUNDS_/0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_lt_lin'#@#variant 'hl/thm/Library/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_QArith_Qreduction_Qred_comp' 'hl/thm/realax/NADD_INV_WELLDEF_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sub_diag' 'hl/thm/int/INT_SUB_REFL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div2_nonneg' 'hl/thm/calc_num/ARITH_72'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_cancel_l' 'hl/thm/int/INT_EQ_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_null'#@#variant 'hl/thm/int/INT_SGN_EQ_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_quot_rem' 'hl/thm/arith/DIVISION_SIMP_1'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_of_Qc' 'hl/thm/int/int_of_num_th_'
0. 'coq/Coq_NArith_BinNat_N_lt_add_lt_sub_r' 'hl/thm/real/REAL_LT_ADD_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_pos'#@#variant 'hl/thm/Library/transc/ATN_POS_LT_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lcm_1_l'#@#variant 'hl/thm/realax/REAL_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_lt_mono_r' 'hl/thm/int/INT_LE_RADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_succ'#@#variant 'hl/thm/real/REAL_OF_NUM_SUC_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_sin_pos_tech'#@#variant 'hl/thm/Library/transc/SIN_POS_PI_LE_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_min_le_compat_r' 'hl/thm/arith/EXP_MONO_LE_IMP_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_le_mono' 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_odd_spec' 'hl/thm/Multivariate/complexes/real_'#@#variant
0. 'coq/Coq_omega_OmegaLemmas_Zred_factor1'#@#variant 'hl/thm/arith/EXP_2_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_le_mono_nonneg'#@#variant 'hl/thm/real/REAL_LT_MUL2_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_null'#@#variant 'hl/thm/int/INT_SGN_EQ_1'#@#variant
0. 'coq/Coq_Init_Peano_pred_Sn' 'hl/thm/Library/transc/LN_EXP_'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_iff' 'hl/thm/Multivariate/vectors/LIFT_EQ_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_le_mono' 'hl/thm/Library/transc/ATN_MONO_LT_'
0. 'coq/Coq_ZArith_BinInt_Z_lnot_lor' 'hl/thm/Library/transc/REAL_EXP_ADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_shiftl_land' 'hl/thm/realax/NADD_RDISTRIB_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_shuffle3' 'hl/thm/int/INT_MAX_ACI_2'
0. 'coq/Coq_ZArith_BinInt_Z_lnot_involutive' 'hl/thm/Multivariate/complexes/CNJ_CNJ_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_1_l'#@#variant 'hl/thm/Library/integer/INT_DIVIDES_1_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_pos'#@#variant 'hl/thm/real/REAL_LT_INV_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_pos'#@#variant 'hl/thm/Library/pocklington/PHI_LOWERBOUND_1_'#@#variant
0. 'coq/Coq_QArith_Qcanon_Q_apart_0_1'#@#variant 'hl/thm/Complex/complex_transc/COMPLEX_II_NZ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_pos'#@#variant 'hl/thm/Library/pratt/PHI_LOWERBOUND_2_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_succ_inj_wd' 'hl/thm/Multivariate/transcendentals/REAL_EXP_INJ_'
0. 'coq/Coq_ZArith_Zquot_Zrem_opp_l' 'hl/thm/int/INT_MUL_LNEG_'
0. 'coq/Coq_Reals_Rbasic_fun_Rle_max_compat_l' 'hl/thm/realax/TREAL_LE_LADD_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_ge_cases' 'hl/thm/int/INT_LET_TOTAL_'
0. 'coq/Coq_Reals_Rbasic_fun_abs_IZR' 'hl/thm/int/int_sgn_th_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_divide_mono_r' 'hl/thm/realax/HREAL_LE_MUL_RCANCEL_IMP_'
0. 'coq/Coq_Reals_Rtrigo1_sin_lb_gt_0'#@#variant 'hl/thm/Library/transc/SIN_POS_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_divide_mul_r' 'hl/thm/Library/prime/DIVIDES_LMUL_'
0. 'coq/Coq_ZArith_BinInt_Z_lxor_nilpotent' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_REFL_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_min_le_compat_l' 'hl/thm/realax/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_pos_cancel_r'#@#variant 'hl/thm/Library/floor/INTEGER_SUB_EQ_1'
0. 'coq/Coq_Reals_AltSeries_PI_tg_decreasing' 'hl/thm/Library/multiplicative/REAL_MULTIPLICATIVE_MOBIUS_'
0. 'coq/Coq_Arith_Min_min_idempotent' 'hl/thm/real/REAL_MAX_ACI_3'
0. 'coq/Coq_QArith_QArith_base_Qmult_plus_distr_l' 'hl/thm/realax/NADD_RDISTRIB_'
0. 'coq/Coq_Reals_Rfunctions_Rle_pow' 'hl/thm/int/INT_POW_MONO_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_le_mono' 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_total' 'hl/thm/Library/prime/LESS_LESS_CASES_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_divide_l' 'hl/thm/int/INT_MIN_MIN_/0'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_l2i_i2l'#@#variant 'hl/thm/Complex/complexnumbers/complex_tybij_1'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_pos_cancel_l'#@#variant 'hl/thm/int/INT_LT_MUL_EQ_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_max_l' 'hl/thm/int/INT_MAX_MAX_/0'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_square_nonneg'#@#variant 'hl/thm/realarith/REAL_LE_SQUARE_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_shiftl_1_l'#@#variant 'hl/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_lt_lin'#@#variant 'hl/thm/Library/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_SIN_bound/0' 'hl/thm/arith/FACT_LT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mod_1_r'#@#variant 'hl/thm/Library/prime/INDEX_1_'#@#variant
0. 'coq/Coq_Arith_Gt_gt_irrefl' 'hl/thm/arith/LT_REFL_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_opp_norm' 'hl/thm/Library/floor/RATIONAL_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_divide_mono_r' 'hl/thm/realax/NADD_LE_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_ldiff_diag' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_sub' 'hl/thm/int/INT_SUB_ADD_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_lt' 'hl/thm/int/INT_OF_NUM_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_cancel_r' 'hl/thm/int/INT_EQ_ADD_RCANCEL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_pos_spec' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_CX_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_le_iff' 'hl/thm/int/INT_MIN_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_le_mono' 'hl/thm/Library/transc/ATN_MONO_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_inj_wd' 'hl/thm/Multivariate/transcendentals/ATN_INJ_'
0. 'coq/Coq_Reals_RIneq_Rmult_gt_reg_l'#@#variant 'hl/thm/real/REAL_LE_LCANCEL_IMP_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_succ_r' 'hl/thm/arith/ADD_SUC_'
0. 'coq/Coq_PArith_BinPos_Pos_mul_xO_r' 'hl/thm/arith/ADD_SUC_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_lub_l' 'hl/thm/Library/prime/DIVIDES_RMUL2_'
0. 'coq/Coq_Reals_Rminmax_R_opp_max_distr' 'hl/thm/Multivariate/transcendentals/REAL_EXP_SUB_'
0. 'coq/Coq_Reals_Rtrigo1_sin_minus' 'hl/thm/Complex/complex_transc/CSIN_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_total' 'hl/thm/Library/analysis/LESS_LESS_CASES_'
0. 'coq/Coq_Reals_RIneq_Rinv_0_lt_compat'#@#variant 'hl/thm/Multivariate/complexes/REAL_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_le_mono' 'hl/thm/Multivariate/transcendentals/ATN_MONO_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_cancel_l' 'hl/thm/realax/HREAL_EQ_ADD_LCANCEL_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_succ' 'hl/thm/Complex/complex_transc/CX_CSIN_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_1_l' 'hl/thm/realax/HREAL_ADD_LID_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_inj_wd' 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_NEG2_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_le_mono' 'hl/thm/Library/transc/ATN_MONO_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_greatest' 'hl/thm/Library/prime/DIVIDES_SUB_'
0. 'coq/Coq_Reals_Rtrigo_calc_sin_lb_ge_0'#@#variant 'hl/thm/Library/transc/COS_POS_PI2_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qle_refl' 'hl/thm/Library/integer/INT_DIVIDES_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_neq' 'hl/thm/realarith/REAL_LT_LE_'
0. 'coq/Coq_Arith_Mult_mult_lt_compat_r'#@#variant 'hl/thm/Library/analysis/REAL_LE_RMUL_IMP_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rle_lt_trans' 'hl/thm/realarith/REAL_LET_TRANS_'
0. 'coq/Coq_QArith_Qreduction_Qred_comp' 'hl/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_eq_mul_0' 'hl/thm/realarith/REAL_ENTIRE_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_divide_mono_r' 'hl/thm/Library/prime/DIVIDES_EXP_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_nlt_1_r' 'hl/thm/Library/prime/NOT_LESS_0_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_shiftl_opp_r' 'hl/thm/real/REAL_SUB_RNEG_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_comm' 'hl/thm/realax/TREAL_ADD_SYM_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zplus_lt_compat_l' 'hl/thm/int/INT_LE_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_le_mono_nonneg_r'#@#variant 'hl/thm/real/REAL_LE_RMUL_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qinv_le_0_compat'#@#variant 'hl/thm/Multivariate/transcendentals/REAL_EXP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_0_r'#@#variant 'hl/thm/arith/MOD_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_pos'#@#variant 'hl/thm/Library/floor/INTEGER_ABS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_inj_wd' 'hl/thm/nums/IND_SUC_INJ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_land_m1_l'#@#variant 'hl/thm/realax/REAL_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_pos'#@#variant 'hl/thm/calc_num/ARITH_44'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_add_r' 'hl/thm/realax/HREAL_LE_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_inj_wd' 'hl/thm/Complex/complexnumbers/CNJ_INJ_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_le_mono_r' 'hl/thm/arith/LE_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_add_lt_sub_r' 'hl/thm/real/REAL_LT_SUB_LADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_le_compat_r' 'hl/thm/Library/integer/INT_DIVIDES_MUL_R_'
0. 'coq/Coq_NArith_BinNat_N_mul_divide_mono_r' 'hl/thm/Library/prime/DIVIDES_MUL_R_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div_0_l' 'hl/thm/arith/MOD_0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_add_lt_sub_r' 'hl/thm/int/INT_LE_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_nonneg'#@#variant 'hl/thm/int/INT_SGN_INEQS_0'#@#variant
0. 'coq/Coq_Reals_Rfunctions_powerRZ_lt'#@#variant 'hl/thm/Library/floor/RATIONAL_POW_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_le_mono_r' 'hl/thm/realax/HREAL_LE_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_xI_succ_xO' 'hl/thm/calc_num/ARITH_4'
0. 'coq/Coq_Reals_R_Ifp_base_fp/1' 'hl/thm/calc_num/ARITH_83'
0. 'coq/Coq_ZArith_BinInt_Z_div_0_l' 'hl/thm/arith/DIV_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_m1_0'#@#variant 'hl/thm/Library/transc/PI2_BOUNDS_1'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zplus_gt_compat_l' 'hl/thm/Library/prime/DIVIDES_MUL_L_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_div2' 'hl/thm/Multivariate/transcendentals/CX_SIN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_succ_l' 'hl/thm/int/INT_NEG_LMUL_'
0. 'coq/Coq_Reals_R_Ifp_base_fp/0' 'hl/thm/calc_num/ARITH_83'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_rem_opp_opp' 'hl/thm/Library/analysis/ABS_DIV_'#@#variant
0. 'coq/Coq_Reals_Rsqrt_def_Rsqrt_positivity'#@#variant 'hl/thm/Library/floor/RATIONAL_NUM_'
0. 'coq/Coq_Reals_RIneq_Req_ge' 'hl/thm/real/REAL_EQ_IMP_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_neq' 'hl/thm/int/INT_LT_IMP_NE_'
0. 'coq/Coq_Reals_RIneq_Ropp_0_ge_le_contravar'#@#variant 'hl/thm/Library/pratt/PHI_LOWERBOUND_2_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_le' 'hl/thm/int/INT_OF_NUM_LT_'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_lt_lin'#@#variant 'hl/thm/Library/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_nonneg_r'#@#variant 'hl/thm/int/INT_LE_RMUL_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zplus_le_compat_r' 'hl/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_glb' 'hl/thm/Library/integer/INT_DIVIDES_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lnot_ones' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LINV_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_eq_0' 'hl/thm/realarith/REAL_ENTIRE_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_divide_lcm_r' 'hl/thm/real/REAL_MAX_MAX_/1'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_le_mono_l' 'hl/thm/realax/NADD_LE_LADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_pos'#@#variant 'hl/thm/Library/transc/LN_POS_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_opp_pred' 'hl/thm/calc_num/ARITH_5'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftl_1_l'#@#variant 'hl/thm/int/INT_NEG_MINUS1_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_log2' 'hl/thm/Multivariate/transcendentals/CX_EXP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_total' 'hl/thm/int/INT_LT_TOTAL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_nonneg_pos'#@#variant 'hl/thm/realarith/REAL_LET_ADD_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_le_mono_l' 'hl/thm/int/INT_LE_LADD_'
0. 'coq/Coq_NArith_BinNat_N_add_1_r'#@#variant 'hl/thm/arith/ADD1_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sub_opp_r' 'hl/thm/int/INT_SUB_'
0. 'coq/Coq_ZArith_Znat_Z2N_inj_div2' 'hl/thm/Complex/complex_transc/CX_CSIN_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_succ_l' 'hl/thm/Multivariate/transcendentals/REAL_INV_RPOW_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_move_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_RNEG_UNIQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_nonneg'#@#variant 'hl/thm/real/REAL_LE_INV_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pred_le_mono' 'hl/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_1_l' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mod_1_r'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_0_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sgn_nonpos' 'hl/thm/real/REAL_SGN_INEQS_8'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_succ' 'hl/thm/Library/transc/ATN_TAN_'
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_Zabs' 'hl/thm/Multivariate/transcendentals/CX_EXP_'#@#variant
0. 'coq/Coq_ZArith_Znat_Zabs_nat_N' 'hl/thm/int/int_of_num_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_divide_cancel_r' 'hl/thm/Library/prime/DIVIDES_RMUL2_EQ_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_sin_neg' 'hl/thm/real/REAL_ABS_SGN_'
0. 'coq/Coq_ZArith_BinInt_Z_quot_le_mono'#@#variant 'hl/thm/Library/analysis/REAL_LE_RMUL_IMP_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_min_l' 'hl/thm/arith/MOD_LT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_glb_iff' 'hl/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lxor_0_l' 'hl/thm/arith/MULT_CLAUSES_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_trichotomy' 'hl/thm/real/REAL_LT_TOTAL_'
0. 'coq/Coq_ZArith_Zorder_Zgt_irrefl' 'hl/thm/realarith/REAL_LT_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_land_diag' 'hl/thm/real/REAL_MIN_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_succ_pred' 'hl/thm/Complex/complex_transc/CEXP_CLOG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_shuffle3' 'hl/thm/arith/ADD_AC_2'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_even_sub' 'hl/thm/int/INT_OF_NUM_SUB_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_comm' 'hl/thm/realax/NADD_MUL_SYM_'
0. 'coq/Coq_PArith_BinPos_Pos_min_1_r' 'hl/thm/calc_int/REAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_land_diag' 'hl/thm/real/REAL_MIN_ACI_3'
0. 'coq/Coq_NArith_BinNat_N_le_refl' 'hl/thm/realax/TREAL_EQ_REFL_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_min_glb' 'hl/thm/Library/prime/DIVIDES_SUB_'
0. 'coq/Coq_ZArith_BinInt_Z_log2_pos'#@#variant 'hl/thm/Library/pocklington/PHI_LOWERBOUND_2_'#@#variant
0. 'coq/Coq_FSets_FSetPositive_PositiveSet_E_bits_lt_antirefl' 'hl/thm/int/INT_LT_REFL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lxor_nilpotent' 'hl/thm/int/INT_SUB_REFL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_lt_mono_pos_l'#@#variant 'hl/thm/Library/analysis/REAL_LE_LMUL_LOCAL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_glb_iff' 'hl/thm/int/INT_LE_MIN_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_1'#@#variant 'hl/thm/Multivariate/complexes/IM_II_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pow_eq_0_iff' 'hl/thm/Multivariate/transcendentals/RPOW_EQ_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lor_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_lt_mono_r_iff'#@#variant 'hl/thm/Library/analysis/REAL_LE_LMUL_LOCAL_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_le_mono_r' 'hl/thm/arith/LE_ADD_RCANCEL_'
0. 'coq/Coq_ZArith_BinInt_Z_log2_lor'#@#variant 'hl/thm/Library/transc/LN_MUL_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rge_refl' 'hl/thm/realax/HREAL_LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_pow2'#@#variant 'hl/thm/Multivariate/transcendentals/EXP_LOG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_ge_le_iff' 'hl/thm/arith/GT_'
0. 'coq/Coq_ZArith_BinInt_Z_abs_opp' 'hl/thm/Multivariate/transcendentals/COS_NEG_'
0. 'coq/Coq_QArith_QArith_base_Qinv_lt_0_compat'#@#variant 'hl/thm/real/REAL_LT_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_succ_pred_double' 'hl/thm/nums/BIT1_DEF_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_le_mono' 'hl/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_pred_double_spec' 'hl/thm/nums/BIT1_DEF_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_nge' 'hl/thm/int/INT_NOT_LE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_glb_lt' 'hl/thm/Library/prime/DIVIDES_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_null'#@#variant 'hl/thm/real/REAL_SGN_EQ_1'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_divide_cancel_r' 'hl/thm/Library/prime/DIVIDES_EXP2_EQ_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_refl' 'hl/thm/realax/TREAL_LE_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_pow' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_succ_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LNEG_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_le_mono' 'hl/thm/realax/NADD_INV_WELLDEF_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_sub_le_add_r' 'hl/thm/int/INT_LT_ADD_SUB_'
0. 'coq/Coq_QArith_QArith_base_Qplus_inj_l' 'hl/thm/real/REAL_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_null'#@#variant 'hl/thm/real/REAL_SGN_EQ_2'#@#variant
0. 'coq/Coq_Arith_Div2_div2_double'#@#variant 'hl/thm/Library/transc/ATN_/2'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_inj_wd' 'hl/thm/calc_num/ARITH_54'
0. 'coq/Coq_Reals_Ranalysis1_continuity_plus' 'hl/thm/iterate/POLYNOMIAL_FUNCTION_o_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_id' 'hl/thm/int/INT_MAX_ACI_3'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_lxor_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LNEG_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_le_mono' 'hl/thm/arith/FACT_MONO_'
0. 'coq/Coq_NArith_BinNat_N_divide_lcm_l' 'hl/thm/realax/NADD_LE_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_le_compat_l' 'hl/thm/int/INT_LE_LADD_IMP_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_glb_lt_iff' 'hl/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_nonneg' 'hl/thm/real/REAL_SGN_INEQS_2'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_opp' 'hl/thm/Multivariate/vectors/SQRT_INV_'
0. 'coq/Coq_NArith_BinNat_N_min_le_compat_l' 'hl/thm/realax/TREAL_LE_LADD_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_diag' 'hl/thm/int/INT_MAX_ACI_3'
0. 'coq/Coq_Sets_Powerset_facts_Distributivity' 'hl/thm/Multivariate/determinants/REFLECT_ALONG_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_0_l' 'hl/thm/int/INT_NEG_MINUS1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_gcd_divide_l' 'hl/thm/int/INT_MIN_MIN_/0'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_sub_le_add_r' 'hl/thm/real/REAL_LT_ADD_SUB_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_odd_2'#@#variant 'hl/thm/Multivariate/complexes/RE_II_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pred_le_mono' 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_ZArith_Znat_Z_N_nat' 'hl/thm/int/int_of_num_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lxor_nilpotent' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_le_mono' 'hl/thm/arith/FACT_MONO_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_invc' 'hl/thm/Complex/complex_transc/CX_CSIN_'
0. 'coq/Coq_Reals_RIneq_Ropp_Ropp_IZR' 'hl/thm/int/int_neg_th_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div_le_mono'#@#variant 'hl/thm/int/INT_LE_RMUL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_succ' 'hl/thm/Multivariate/transcendentals/CX_TAN_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_divide_mono_r' 'hl/thm/Library/prime/DIVIDES_EXP_'
0. 'coq/Coq_Arith_PeanoNat_Nat_pred_succ' 'hl/thm/Library/transc/LN_EXP_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ldiff_ldiff_l' 'hl/thm/arith/EXP_MULT_'
0. 'coq/Coq_Bool_Bool_eqb_reflx' 'hl/thm/int/INT_SUB_REFL_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_le_trans' 'hl/thm/int/INT_LTE_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_land_m1_l'#@#variant 'hl/thm/int/INT_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_DecidableTypeEx_N_as_DT_lt_not_eq' 'hl/thm/real/REAL_LT_IMP_NE_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_succ_not_1' 'hl/thm/Multivariate/transcendentals/REAL_EXP_NZ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_nge' 'hl/thm/arith/NOT_LE_'
0. 'coq/Coq_Reals_RIneq_cond_pos'#@#variant 'hl/thm/Library/floor/RATIONAL_NUM_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_nonneg' 'hl/thm/int/INT_SGN_INEQS_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_land_0_r' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_le_compat_r' 'hl/thm/realax/HREAL_LE_MUL_RCANCEL_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_lt_mono_pos_l'#@#variant 'hl/thm/Library/analysis/REAL_LE_LMUL_LOCAL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LE_'
0. 'coq/Coq_PArith_BinPos_Pos_pred_succ' 'hl/thm/Library/transc/LN_EXP_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_ge_le_iff' 'hl/thm/int/INT_GT_'
0. 'coq/Coq_QArith_Qcanon_Qcmult_1_l'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_add_simpl_r_r' 'hl/thm/arith/SUB_ADD_RCANCEL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_0_l' 'hl/thm/arith/MOD_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_divide_mono_l' 'hl/thm/realax/TREAL_LE_LADD_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_sub_lt_add_r' 'hl/thm/real/REAL_LE_SUB_LADD_'
0. 'coq/Coq_Reals_Rpower_Rpower_sqrt'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_SQRT_'#@#variant
0. 'coq/Coq_fourier_Fourier_util_Rfourier_le'#@#variant 'hl/thm/real/REAL_LT_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_eq_cases' 'hl/thm/realarith/REAL_LE_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_opp' 'hl/thm/Complex/complex_transc/CCOS_NEG_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_ldiff' 'hl/thm/int/INT_SUB_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_opp' 'hl/thm/calc_num/ARITH_2'
0. 'coq/Coq_Reals_RIneq_Rplus_minus' 'hl/thm/real/REAL_SUB_ADD2_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_le_mono_r' 'hl/thm/realax/NADD_LE_RADD_'
0. 'coq/Coq_QArith_QArith_base_Qmult_assoc' 'hl/thm/realax/NADD_MUL_ASSOC_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lxor_0_l' 'hl/thm/arith/MULT_CLAUSES_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lcm_eq_0' 'hl/thm/arith/MULT_EQ_0_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pow_succ_r_prime' 'hl/thm/arith/MULT_SUC_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_shuffle3' 'hl/thm/arith/ADD_AC_2'
0. 'coq/Coq_ZArith_BinInt_Z_log2_lt_lin'#@#variant 'hl/thm/Library/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_add_cancel_r' 'hl/thm/Library/poly/POLY_DIVIDES_SUB_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lxor_lnot_lnot' 'hl/thm/arith/SUB_ADD_RCANCEL_'
0. 'coq/Coq_NArith_BinNat_N_div_same'#@#variant 'hl/thm/arith/DIV_REFL_'#@#variant
0. 'coq/Coq_Bool_Bool_xorb_negb_negb' 'hl/thm/arith/SUB_SUC_'
0. 'coq/Coq_Reals_RIneq_Rmult_0_r' 'hl/thm/arith/MULT_0_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_max_le_compat_l' 'hl/thm/Library/prime/DIVIDES_MUL_L_'
0. 'coq/Coq_Init_Peano_le_pred' 'hl/thm/Library/floor/FLOOR_MONO_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_glb' 'hl/thm/Library/prime/DIVIDES_SUB_'
0. 'coq/Coq_ZArith_BinInt_Z_quot_same'#@#variant 'hl/thm/arith/DIV_REFL_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sub_succ' 'hl/thm/arith/SUB_SUC_'
0. 'coq/Coq_Reals_Rbasic_fun_Ropp_Rmin' 'hl/thm/Complex/complex_transc/CEXP_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_pred_l' 'hl/thm/Library/pratt/PHI_LIMIT_'
0. 'coq/Coq_ZArith_Zpower_two_p_equiv' 'hl/thm/int/INT_SUB_LZERO_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_log2' 'hl/thm/Multivariate/transcendentals/CX_ATN_'#@#variant
0. 'coq/Coq_Reals_Rfunctions_pow_lt'#@#variant 'hl/thm/Multivariate/complexes/REAL_POW_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_square_spec' 'hl/thm/real/REAL_MUL_2_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_ge_cases' 'hl/thm/int/INT_LET_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_lt' 'hl/thm/real/REAL_BOUNDS_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_lt_mono_pos_l'#@#variant 'hl/thm/real/REAL_LE_LMUL_EQ_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_min_le_compat_r' 'hl/thm/Library/integer/INT_DIVIDES_MUL_R_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_sub_r' 'hl/thm/Complex/cpoly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qle_shift_div_r'#@#variant 'hl/thm/Library/analysis/REAL_LE_LDIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lor_0_l' 'hl/thm/realax/REAL_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_odd_0' 'hl/thm/Multivariate/complexes/RE_II_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_le_incl' 'hl/thm/realax/TREAL_EQ_IMP_LE_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_le_mono_l' 'hl/thm/int/INT_LE_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_inj_wd' 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_NEG2_'
0. 'coq/Coq_Arith_PeanoNat_Nat_min_le_compat_r' 'hl/thm/Library/integer/INT_DIVIDES_MUL_R_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_glb_iff' 'hl/thm/real/REAL_LT_MIN_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_sub_r' 'hl/thm/Library/integer/INT_DIVIDES_SUB_'
0. 'coq/Coq_ZArith_BinInt_Z_odd_2'#@#variant 'hl/thm/nums/ZERO_DEF_'
0. 'coq/Coq_NArith_BinNat_N_lt_eq_cases' 'hl/thm/arith/LE_LT_'
0. 'coq/Coq_fourier_Fourier_util_Rfourier_le'#@#variant 'hl/thm/Library/analysis/REAL_LT_LMUL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_0_l' 'hl/thm/int/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_land_diag' 'hl/thm/real/REAL_MIN_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_double_twice'#@#variant 'hl/thm/Library/analysis/REAL_INV_1OVER_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_log2' 'hl/thm/Multivariate/transcendentals/CX_SIN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_succ' 'hl/thm/Library/transc/REAL_EXP_NEG_'
0. 'coq/Coq_ZArith_BinInt_Z_pred_inj_wd' 'hl/thm/calc_num/ARITH_48'
0. 'coq/Coq_NArith_BinNat_N_pred_div2_up' 'hl/thm/Multivariate/transcendentals/CX_ATN_'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qcle_lt_trans' 'hl/thm/arith/LET_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_odd_0' 'hl/thm/Multivariate/complexes/IM_II_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_pos'#@#variant 'hl/thm/Library/pratt/PHI_LOWERBOUND_1_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rgt_ge_trans' 'hl/thm/arith/LTE_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_nle_gt' 'hl/thm/Library/analysis/real_le_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_id' 'hl/thm/int/INT_MAX_ACI_3'
0. 'coq/Coq_Reals_RIneq_Rmult_le_compat'#@#variant 'hl/thm/real/REAL_LT_MUL2_'#@#variant
0. 'coq/Coq_Numbers_Cyclic_ZModulo_ZModulo_spec_more_than_1_digit'#@#variant 'hl/thm/Library/analysis/REAL_NZ_IMP_LT_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_gcd_1_r'#@#variant 'hl/thm/Library/pocklington/ORDER_1_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_le_mono' 'hl/thm/Library/transc/ATN_MONO_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_null_iff' 'hl/thm/real/REAL_INV_EQ_1_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_0_r' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_sub_lt_add_r' 'hl/thm/int/INT_LT_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_le_iff' 'hl/thm/int/INT_LT_MAX_'
0. 'coq/Coq_Arith_Plus_le_plus_l' 'hl/thm/realax/HREAL_LE_ADD_'
0. 'coq/Coq_ZArith_BinInt_Z_add_le_mono_r' 'hl/thm/int/INT_LT_RADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_opp_r' 'hl/thm/arith/ADD_SUC_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_cancel_r' 'hl/thm/int/INT_EQ_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_le_compat_r' 'hl/thm/Library/prime/DIVIDES_EXP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_neg_iff'#@#variant 'hl/thm/real/REAL_SGN_EQ_2'#@#variant
0. 'coq/Coq_NArith_BinNat_N_gcd_divide_r' 'hl/thm/real/REAL_MIN_MIN_/1'
0. 'coq/Coq_QArith_Qminmax_Q_min_lt_iff' 'hl/thm/real/REAL_MIN_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ones_equiv'#@#variant 'hl/thm/calc_num/ARITH_9'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_opp' 'hl/thm/Complex/complex_transc/CSIN_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_succ_le' 'hl/thm/Library/floor/FLOOR_DOUBLE_/0'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_neq_0_succ' 'hl/thm/Multivariate/transcendentals/REAL_EXP_NZ_'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tred_factor1_stable' 'hl/thm/Library/multiplicative/MULTIPLICATIVE_TAU_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_glb_lt' 'hl/thm/Library/integer/INT_DIVIDES_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_setbit_spec_prime'#@#variant 'hl/thm/Complex/complexnumbers/complex_div_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_iff' 'hl/thm/int/int_eq_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_nonpos' 'hl/thm/int/INT_SGN_INEQS_5'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_le_0_2' 'hl/thm/Library/transc/PI2_BOUNDS_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_le_compat_l' 'hl/thm/realax/REAL_LE_LADD_IMP_'
0. 'coq/Coq_ZArith_Znat_N2Z_id' 'hl/thm/int/NUM_OF_INT_OF_NUM_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pow_lt_mono_r_iff'#@#variant 'hl/thm/Library/analysis/REAL_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lor_lnot_diag'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_RINV_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rinv_0_lt_compat'#@#variant 'hl/thm/Library/floor/INTEGER_CLOSED_5'
0. 'coq/Coq_Reals_Rtrigo1_continuity_cos' 'hl/thm/Library/multiplicative/MULTIPLICATIVE_TAU_'
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_0_l' 'hl/thm/realax/REAL_MUL_LID_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_lor' 'hl/thm/Complex/complex_transc/CEXP_ADD_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_le_0_1' 'hl/thm/Library/transc/PI2_BOUNDS_1'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_0_discr' 'hl/thm/Complex/complex_transc/CEXP_NONZERO_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_le_max_l' 'hl/thm/int/INT_MAX_MAX_/0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_pos_l'#@#variant 'hl/thm/real/REAL_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_pos'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_POS_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sgn_null_iff' 'hl/thm/int/INT_SGN_INEQS_4'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_le_refl' 'hl/thm/int/INT_LE_REFL_'
0. 'coq/Coq_QArith_QArith_base_Qplus_lt_l' 'hl/thm/arith/LE_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_nge' 'hl/thm/realax/real_lt_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftl_1_l'#@#variant 'hl/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_ZArith_Znat_Zabs2Nat_id' 'hl/thm/Multivariate/vectors/LIFT_DROP_0'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_2' 'hl/thm/realax/NADD_INV_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_le' 'hl/thm/real/REAL_BOUNDS_LE_'
0. 'coq/Coq_NArith_BinNat_N_land_0_r' 'hl/thm/calc_int/REAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pred_0' 'hl/thm/realax/NADD_INV_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_inj_wd' 'hl/thm/calc_num/ARITH_54'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_xO'#@#variant 'hl/thm/int/int_abs_th_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_1' 'hl/thm/realax/NADD_INV_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_odd_1'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_inj_wd' 'hl/thm/nums/IND_SUC_INJ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_le_iff' 'hl/thm/real/REAL_MIN_LE_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_ge_le_iff' 'hl/thm/int/INT_GT_'
0. 'coq/Coq_QArith_Qround_Qfloor_Z' 'hl/thm/Complex/complexnumbers/complex_tybij_1'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_0' 'hl/thm/realax/NADD_INV_0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lor_0_l' 'hl/thm/arith/ADD_CLAUSES_0'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tmult_opp_left_stable' 'hl/thm/Library/multiplicative/MULTIPLICATIVE_TAU_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_glb' 'hl/thm/Complex/cpoly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_le_iff' 'hl/thm/int/INT_MIN_LE_'
0. 'coq/Coq_ZArith_BinInt_Z_lor_m1_r'#@#variant 'hl/thm/int/INT_MUL_RZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_null'#@#variant 'hl/thm/real/REAL_SGN_EQ_1'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_sub_distr' 'hl/thm/int/INT_SUB_LNEG_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div2_neg' 'hl/thm/int/INT_SGN_INEQS_6'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_add_lt_sub_r' 'hl/thm/Library/analysis/SUB_LEFT_GREATER_EQ_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_0' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_1_l'#@#variant 'hl/thm/int/INT_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_max_r' 'hl/thm/real/REAL_MAX_MAX_/1'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_asymm' 'hl/thm/arith/LT_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div2_nonneg' 'hl/thm/int/INT_SGN_INEQS_2'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_square_nonneg'#@#variant 'hl/thm/int/INT_LE_SQUARE_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_shiftl_1_l'#@#variant 'hl/thm/int/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_lcm_r' 'hl/thm/arith/LE_ADDR_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_1_l'#@#variant 'hl/thm/arith/ADD_CLAUSES_0'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_inv_norm' 'hl/thm/Multivariate/vectors/SQRT_POS_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_pred_succ' 'hl/thm/Multivariate/transcendentals/CCOS_CACS_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_le_max_l' 'hl/thm/realax/HREAL_LE_ADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_eq_0_iff' 'hl/thm/arith/EXP_EQ_0_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_divide_lcm_l' 'hl/thm/arith/LE_ADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_le_iff' 'hl/thm/real/REAL_MIN_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_1_l'#@#variant 'hl/thm/int/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_odd_1'#@#variant 'hl/thm/Multivariate/complexes/RE_II_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_le_mono_l' 'hl/thm/arith/EXP_MONO_LE_IMP_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_succ_l' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_LMUL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_cancel_l' 'hl/thm/realax/HREAL_EQ_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_sub' 'hl/thm/real/REAL_SUB_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_quot_pos'#@#variant 'hl/thm/realarith/REAL_LTE_ADD_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_inj_wd' 'hl/thm/real/REAL_EQ_INV2_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_le_compat_r' 'hl/thm/realax/HREAL_LE_MUL_RCANCEL_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_null'#@#variant 'hl/thm/real/REAL_SGN_EQ_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_add_r' 'hl/thm/Library/integer/INT_DIVIDES_ADD_'
0. 'coq/Coq_NArith_BinNat_N_mod_1_r'#@#variant 'hl/thm/arith/MOD_1_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_pos'#@#variant 'hl/thm/Library/pratt/PHI_LOWERBOUND_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_nonneg_cancel_l'#@#variant 'hl/thm/real/REAL_LE_MUL_EQ_0'#@#variant
0. 'coq/Coq_Reals_R_sqrt_sqrt_lt_0'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_MONO_LE_REV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div2_succ_double' 'hl/thm/Library/transc/LN_EXP_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_glb' 'hl/thm/Library/prime/DIVIDES_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_quot_le_mono'#@#variant 'hl/thm/int/INT_LE_RMUL_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_cancel_r' 'hl/thm/calc_int/REAL_EQ_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_diag' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_REFL_'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_succ' 'hl/thm/int/int_sgn_th_'
0. 'coq/Coq_Init_Peano_le_n_S' 'hl/thm/Library/floor/FLOOR_MONO_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_sub_le_add_r' 'hl/thm/real/REAL_LE_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_lor' 'hl/thm/Multivariate/transcendentals/REAL_EXP_ADD_'
0. 'coq/Coq_ZArith_Znat_Zabs2Nat_inj_0' 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lt_wf_0' 'hl/thm/wf/WF_num_'
0. 'coq/Coq_fourier_Fourier_util_Rle_zero_pos_plus1'#@#variant 'hl/thm/Library/floor/RATIONAL_NEG_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_opp' 'hl/thm/calc_num/ARITH_6'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_pos_nonneg'#@#variant 'hl/thm/realarith/REAL_LTE_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_l' 'hl/thm/real/REAL_LT_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_0_iff' 'hl/thm/real/REAL_INV_EQ_0_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_div2_nonneg'#@#variant 'hl/thm/Library/floor/FLOOR_POS_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_lt_mono_pos_l'#@#variant 'hl/thm/Library/analysis/REAL_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_rem_opp_l_prime' 'hl/thm/int/INT_MUL_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_asymm' 'hl/thm/int/INT_LT_GT_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_le_mono_r' 'hl/thm/int/INT_LE_RADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_le_iff' 'hl/thm/real/REAL_LT_MAX_'
0. 'coq/Coq_PArith_BinPos_Pos_max_1_l' 'hl/thm/arith/ADD_CLAUSES_0'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_lt_iff' 'hl/thm/real/REAL_MIN_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_l' 'hl/thm/Library/prime/DIVIDES_MUL_L_'
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_pos_l'#@#variant 'hl/thm/real/REAL_LE_LMUL_EQ_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_le_refl' 'hl/thm/Library/poly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_land_0_r' 'hl/thm/Library/prime/INDEX_0_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zlt_neg_0' 'hl/thm/Multivariate/transcendentals/ARG_/1'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_le_neq' 'hl/thm/arith/LT_LE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_r' 'hl/thm/Library/integer/INT_DIVIDES_MUL_R_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_divide_cancel_l' 'hl/thm/Library/integer/INT_DIVIDES_LMUL2_EQ_'#@#variant
0. 'coq/Coq_NArith_Nnat_Nat2N_id' 'hl/thm/Multivariate/complexes/RE_CX_'#@#variant
0. 'coq/Coq_Reals_Rpower_arcsinh_lt' 'hl/thm/Multivariate/transcendentals/ATN_MONO_LT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_nonneg_cancel_l'#@#variant 'hl/thm/real/REAL_LE_MUL_EQ_0'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qcdiv_mult_l'#@#variant 'hl/thm/real/REAL_DIV_RMUL_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_succ_l' 'hl/thm/Multivariate/transcendentals/REAL_ABS_RPOW_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_le_iff' 'hl/thm/int/INT_LT_MAX_'
0. 'coq/Coq_ZArith_Zdiv_Zmod_1_r'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_0_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_add_diag_r' 'hl/thm/arith/LE_ADD_'
0. 'coq/Coq_Reals_RIneq_Rplus_le_reg_l' 'hl/thm/realax/NADD_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sub_add' 'hl/thm/arith/SUB_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_glb_iff' 'hl/thm/int/INT_LE_MIN_'
0. 'coq/Coq_Arith_Factorial_lt_O_fact' 'hl/thm/Multivariate/transcendentals/ATN_BOUNDS_/0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_nge' 'hl/thm/int/INT_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_pos'#@#variant 'hl/thm/Library/floor/RATIONAL_NEG_EQ_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_succ' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_INV_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_2' 'hl/thm/Multivariate/transcendentals/ASN_0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_le_lin'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_glb' 'hl/thm/Library/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_add_le_sub_r' 'hl/thm/real/REAL_LT_ADD_SUB_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_alt_dichotomy' 'hl/thm/realax/NADD_LE_TOTAL_'
0. 'coq/Coq_Reals_RIneq_Rge_gt_trans' 'hl/thm/int/INT_LET_TRANS_'
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_double_add' 'hl/thm/calc_num/ARITH_17'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_lt_mono_r' 'hl/thm/arith/LE_ADD_RCANCEL_'
0. 'coq/Coq_NArith_BinNat_N_lt_pred_le' 'hl/thm/Library/analysis/OR_LESS_'
0. 'coq/Coq_Reals_R_Ifp_base_fp/1' 'hl/thm/Library/transc/ATN_/1'#@#variant
0. 'coq/Coq_Reals_RIneq_Rge_not_gt' 'hl/thm/arith/LET_ANTISYM_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_power_pos' 'hl/thm/real/REAL_POW_LE_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_even_1'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant
0. 'coq/Coq_QArith_QArith_base_inject_Z_opp' 'hl/thm/Multivariate/complexes/IM_CNJ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_le_mono_r'#@#variant 'hl/thm/real/REAL_LT_LMUL_'#@#variant
0. 'coq/Coq_Reals_R_Ifp_base_fp/0' 'hl/thm/Library/transc/ATN_/1'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_sin_ge_0'#@#variant 'hl/thm/Library/transc/SIN_POS_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_le_mono' 'hl/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_le_antisymm' 'hl/thm/Library/analysis/LESS_EQUAL_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ge_le_iff' 'hl/thm/realax/real_ge_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_double'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_INV_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Zlt_Qlt' 'hl/thm/real/REAL_OF_NUM_LT_'
0. 'coq/Coq_QArith_QArith_base_Qinv_lt_0_compat'#@#variant 'hl/thm/Library/floor/INTEGER_CLOSED_5'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_pos'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_POS_LT_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lnot_ones' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LINV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_add_le' 'hl/thm/real/REAL_ABS_TRIANGLE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_le_compat_l' 'hl/thm/realax/NADD_LE_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_odd_0' 'hl/thm/nums/ZERO_DEF_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_succ' 'hl/thm/Multivariate/transcendentals/CX_EXP_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_gt' 'hl/thm/int/INT_OF_NUM_LT_'
0. 'coq/Coq_Reals_RIneq_Rinv_r_sym' 'hl/thm/real/REAL_MUL_RINV_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_glb_lt' 'hl/thm/Library/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Reals_R_sqr_Rsqr_abs' 'hl/thm/calc_int/REAL_ABS_NEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_neq_0_succ' 'hl/thm/nums/IND_SUC_0_'
0. 'coq/Coq_Arith_PeanoNat_Nat_min_id' 'hl/thm/real/REAL_MIN_ACI_3'
0. 'coq/Coq_ZArith_Zorder_Zplus_le_compat_l' 'hl/thm/real/REAL_LT_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_0_l' 'hl/thm/realax/REAL_MUL_LID_'#@#variant
0. 'coq/Coq_PArith_Pnat_SuccNat2Pos_inj_iff' 'hl/thm/Multivariate/vectors/DROP_EQ_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_mul_0'#@#variant 'hl/thm/Library/calc_real/REAL_OPPSIGN_LEMMA_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_pos_nonneg'#@#variant 'hl/thm/realarith/REAL_LTE_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_land_0_r' 'hl/thm/realax/HREAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_nlt_ge' 'hl/thm/arith/NOT_LE_'
0. 'coq/Coq_Reals_Rtrigo1_cos_sin'#@#variant 'hl/thm/Multivariate/transcendentals/COS_SIN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_refl' 'hl/thm/Library/prime/DIVIDES_REFL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_le_mono_r' 'hl/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_1_r'#@#variant 'hl/thm/int/INT_MUL_RZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_pred_sub' 'hl/thm/arith/ADD1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_le_compat_r' 'hl/thm/realax/HREAL_LE_MUL_RCANCEL_IMP_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_gcd_divide_r' 'hl/thm/int/INT_MIN_MIN_/1'
0. 'coq/Coq_ZArith_BinInt_Z_le_ge_cases' 'hl/thm/arith/LE_CASES_'
0. 'coq/Coq_ZArith_BinInt_Z_sgn_abs' 'hl/thm/Library/floor/FRAC_FLOOR_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_le_trans' 'hl/thm/int/INT_LTE_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sub_add' 'hl/thm/arith/SUB_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_eq_0' 'hl/thm/int/INT_ENTIRE_'#@#variant
0. 'coq/Coq_Reals_Rpower_arcsinh_le' 'hl/thm/Multivariate/transcendentals/ATN_MONO_LT_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_lt_iff' 'hl/thm/int/INT_LT_MAX_'
0. 'coq/Coq_NArith_BinNat_N_lt_trichotomy' 'hl/thm/real/REAL_LT_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_gt_lt_iff' 'hl/thm/arith/GE_'
0. 'coq/Coq_QArith_QArith_base_Qinv_le_0_compat'#@#variant 'hl/thm/Multivariate/vectors/SQRT_POS_LE_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_shuffle3' 'hl/thm/real/REAL_MUL_AC_2'
0. 'coq/Coq_Arith_PeanoNat_Nat_nle_gt' 'hl/thm/realax/real_lt_'
0. 'coq/Coq_ZArith_Zeven_Zeven_mult_Zeven_l' 'hl/thm/Multivariate/transcendentals/RPOW_POS_LT_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lor_m1_r'#@#variant 'hl/thm/realax/HREAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_eq_cases' 'hl/thm/realarith/REAL_LE_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_diag' 'hl/thm/real/REAL_MAX_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftr_opp_r' 'hl/thm/int/INT_SUB_'
0. 'coq/Coq_NArith_BinNat_N_neq_0_succ' 'hl/thm/Complex/complex_transc/CEXP_NONZERO_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_pos_l'#@#variant 'hl/thm/int/INT_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_le_iff' 'hl/thm/real/REAL_MIN_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_inj_l' 'hl/thm/real/REAL_EQ_RCANCEL_IMP_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_divide_r' 'hl/thm/int/INT_MIN_MIN_/1'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_2' 'hl/thm/real/REAL_ABS_0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_min_l' 'hl/thm/real/REAL_MIN_MIN_/0'
0. 'coq/Coq_Arith_Min_min_glb' 'hl/thm/Library/prime/DIVIDES_SUB_'
0. 'coq/Coq_NArith_BinNat_N_log2_le_mono' 'hl/thm/realax/NADD_INV_WELLDEF_'
0. 'coq/Coq_Reals_Rminmax_R_le_min_r' 'hl/thm/int/INT_MIN_MIN_/1'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_succ' 'hl/thm/Complex/complexnumbers/CX_INV_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_divide_cancel_l' 'hl/thm/Library/integer/INT_DIVIDES_LMUL2_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_asymm' 'hl/thm/int/INT_LT_ANTISYM_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_lt_mono_l' 'hl/thm/arith/LE_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_land_lnot_diag' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_RINV_'#@#variant
0. 'coq/Coq_ZArith_Zeven_Zquot2_opp' 'hl/thm/Complex/complex_transc/CSIN_NEG_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_pred_l' 'hl/thm/Library/pocklington/PHI_LIMIT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_refl' 'hl/thm/int/INT_LE_REFL_'
0. 'coq/Coq_NArith_BinNat_N_sqrt_le_mono' 'hl/thm/Multivariate/transcendentals/ATN_MONO_LT_'
0. 'coq/Coq_Arith_PeanoNat_Nat_min_glb_lt' 'hl/thm/Library/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div2_spec'#@#variant 'hl/thm/arith/ADD1_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_pos'#@#variant 'hl/thm/int/INT_ABS_NZ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_nonneg_r'#@#variant 'hl/thm/Library/analysis/REAL_LE_RMUL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_le_mono_l' 'hl/thm/arith/LE_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_0_r' 'hl/thm/Library/pocklington/ORDER_1_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_ge' 'hl/thm/int/INT_OF_NUM_LT_'
0. 'coq/Coq_Reals_Rbasic_fun_Rmin_glb' 'hl/thm/Library/integer/INT_DIVIDES_SUB_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_inj_wd' 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_NEG2_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_null_iff' 'hl/thm/Multivariate/vectors/SQRT_EQ_0_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_div_le_upper_bound' 'hl/thm/arith/LE_LDIV_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_mul_1_l' 'hl/thm/realax/NADD_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pred_succ' 'hl/thm/Library/transc/LN_EXP_'
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_pos'#@#variant 'hl/thm/Library/floor/FLOOR_POS_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ldiff_ldiff_l' 'hl/thm/Library/prime/EXP_EXP_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_1_l' 'hl/thm/Library/prime/DIVIDES_1_'#@#variant
0. 'coq/Coq_PArith_Pnat_SuccNat2Pos_inj_iff' 'hl/thm/realax/REAL_OF_NUM_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_le_incl' 'hl/thm/int/INT_LT_IMP_LE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_odd_2'#@#variant 'hl/thm/nums/ZERO_DEF_'
0. 'coq/Coq_Reals_RIneq_S_INR' 'hl/thm/int/INT_OF_NUM_SUC_'#@#variant
0. 'coq/Coq_Reals_R_sqrt_sqrt_le_1_alt' 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_diag'#@#variant 'hl/thm/Library/analysis/REAL_DOUBLE_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sub_add' 'hl/thm/arith/SUB_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_refl' 'hl/thm/realax/NADD_LE_REFL_'
0. 'coq/Coq_NArith_BinNat_N_mod_0_l' 'hl/thm/arith/DIV_0_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_lt_succ_diag_r' 'hl/thm/Library/analysis/LESS_EQ_SUC_REFL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_lt_mono_l' 'hl/thm/int/INT_LT_LADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_lt_mono_l' 'hl/thm/int/INT_LE_LADD_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_is_nonneg'#@#variant 'hl/thm/Multivariate/complexes/REAL_CX_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_gcd_1_r'#@#variant 'hl/thm/Library/prime/INDEX_0_'#@#variant
0. 'coq/Coq_Reals_R_sqr_Rsqr_neg' 'hl/thm/Multivariate/transcendentals/COS_ABS_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lor_m1_r'#@#variant 'hl/thm/int/INT_MUL_RZERO_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_min_le_compat_l' 'hl/thm/realax/NADD_MUL_WELLDEF_LEMMA_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_glb_iff' 'hl/thm/int/INT_LE_MIN_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_double_mul' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_1_mul_pos'#@#variant 'hl/thm/int/INT_LTE_ADD_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_cancel_l' 'hl/thm/int/INT_EQ_ADD_LCANCEL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_min_le_compat_r' 'hl/thm/realax/NADD_LE_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_nonneg_pos'#@#variant 'hl/thm/realarith/REAL_LET_ADD_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_gcd_divide_r' 'hl/thm/int/INT_MIN_MIN_/1'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_pow2'#@#variant 'hl/thm/Library/transc/EXP_LN_'#@#variant
0. 'coq/Coq_ZArith_Zeven_Zquot2_quot'#@#variant 'hl/thm/arith/ADD1_'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qcnot_lt_le' 'hl/thm/realarith/REAL_LET_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_le_compat_r' 'hl/thm/Library/analysis/LESS_MONO_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_sub_le_add_r' 'hl/thm/int/INT_LT_SUB_LADD_'
0. 'coq/Coq_QArith_Qminmax_Q_min_le_compat_l' 'hl/thm/int/INT_LE_LADD_IMP_'
0. 'coq/Coq_Bool_Bool_xorb_true_l' 'hl/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_le_succ_diag_r' 'hl/thm/Library/analysis/LESS_EQ_SUC_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_glb_lt_iff' 'hl/thm/int/INT_LT_MIN_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_add_lt_sub_r' 'hl/thm/int/INT_LE_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_succ_l' 'hl/thm/arith/LE_SUC_LT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_sub_le_add_r' 'hl/thm/int/INT_LT_ADD_SUB_'
0. 'coq/Coq_ZArith_BinInt_Z_add_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant
0. 'coq/Coq_QArith_QOrderedType_QOrder_eq_refl' 'hl/thm/realax/TREAL_LE_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_pred_double_succ' 'hl/thm/calc_num/ARITH_4'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pred_div2_up' 'hl/thm/Complex/complex_transc/CX_CEXP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_succ_l' 'hl/thm/int/INT_MUL_LNEG_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_le_compat_r' 'hl/thm/Library/analysis/LESS_MONO_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_nge' 'hl/thm/realax/real_lt_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftl_opp_r' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_RNEG_'
0. 'coq/Coq_Reals_RIneq_Rminus_0_l' 'hl/thm/int/INT_NEG_MINUS1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ldiff_land' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_inj_wd' 'hl/thm/calc_num/ARITH_54'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_divide_mono_l' 'hl/thm/Library/integer/INT_DIVIDES_MUL_L_'
0. 'coq/Coq_Reals_RIneq_Rplus_ge_compat_r' 'hl/thm/Library/prime/DIVIDES_MUL_R_'
0. 'coq/Coq_NArith_BinNat_N_pow_lt_mono_l_iff' 'hl/thm/Library/prime/DIVIDES_EXP2_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pred_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_nlt_ge' 'hl/thm/realarith/REAL_NOT_LT_'
0. 'coq/Coq_ZArith_BinInt_Z_shiftl_opp_r' 'hl/thm/realax/real_div_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_rem_opp_l_prime' 'hl/thm/Multivariate/transcendentals/REAL_ABS_RPOW_'
0. 'coq/Coq_ZArith_BinInt_Z_quot_rem' 'hl/thm/arith/DIVISION_SIMP_1'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_le_mono_l' 'hl/thm/real/REAL_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_add_cancel_r' 'hl/thm/Complex/cpoly/POLY_DIVIDES_SUB_'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qcpower_1'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_POW_ONE_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_nonpos' 'hl/thm/real/REAL_SGN_INEQS_8'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_cancel_l' 'hl/thm/calc_int/REAL_EQ_ADD_LCANCEL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_nonneg'#@#variant 'hl/thm/Library/floor/RATIONAL_NEG_EQ_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_add_r' 'hl/thm/real/REAL_MAX_MAX_/0'
0. 'coq/Coq_ZArith_BinInt_Z_gcd_diag' 'hl/thm/arith/MULT_2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_nonneg_r'#@#variant 'hl/thm/int/INT_LE_RMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_gt_cases' 'hl/thm/realarith/REAL_LET_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_setbit_spec_prime'#@#variant 'hl/thm/realax/real_sub_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lxor_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_le_compat_l' 'hl/thm/Library/prime/DIVIDES_MUL_L_'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_1_r' 'hl/thm/arith/SUB_0_/1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_le_mono_pos_l'#@#variant 'hl/thm/int/INT_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_double_spec' 'hl/thm/real/REAL_SUB_LZERO_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_pos'#@#variant 'hl/thm/Library/floor/INTEGER_NEG_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_1_l' 'hl/thm/int/INT_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_succ_diag_r' 'hl/thm/Library/analysis/LESS_EQ_SUC_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div2_nonneg' 'hl/thm/int/INT_SGN_INEQS_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_divide_mono_r' 'hl/thm/Library/integer/INT_DIVIDES_MUL_R_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_cancel_l' 'hl/thm/realax/HREAL_EQ_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gt_lt_iff' 'hl/thm/realax/real_gt_'
0. 'coq/Coq_ZArith_Zpow_facts_Zpower_pos_pos'#@#variant 'hl/thm/real/REAL_POW_LE_1_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_div2_neg' 'hl/thm/int/INT_SGN_INEQS_6'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_lt_mono_r' 'hl/thm/int/INT_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lcm_1_r' 'hl/thm/arith/SUB_0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_le_mono' 'hl/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_gcd_0_l' 'hl/thm/int/INT_NEG_MINUS1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_nge' 'hl/thm/realarith/REAL_NOT_LT_'
0. 'coq/Coq_Reals_R_Ifp_base_fp/1' 'hl/thm/Library/floor/FLOOR_FRAC_/2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_refl' 'hl/thm/realax/TREAL_EQ_REFL_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zeq_plus_swap' 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_nonneg_cancel_l'#@#variant 'hl/thm/real/REAL_LE_MUL_EQ_0'#@#variant
0. 'coq/Coq_Reals_R_Ifp_base_fp/0' 'hl/thm/Library/floor/FLOOR_FRAC_/2'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_clearbit_spec_prime'#@#variant 'hl/thm/int/INT_SUB_RNEG_'
0. 'coq/Coq_ZArith_Znat_N2Z_is_nonneg'#@#variant 'hl/thm/real/REAL_LE_POW2_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_le_compat_r' 'hl/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_pos'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_POS_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lor_0_l' 'hl/thm/arith/MULT_CLAUSES_2'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_antisym' 'hl/thm/Library/analysis/LESS_EQUAL_ANTISYM_'
0. 'coq/Coq_QArith_Qminmax_Q_le_max_r' 'hl/thm/arith/LE_ADDR_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_even_0' 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant
0. 'coq/Coq_Reals_R_sqrt_sqrt_lt_R0'#@#variant 'hl/thm/Library/transc/SQRT_POS_LE_'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_is_pos'#@#variant 'hl/thm/real/REAL_LE_POW2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_le_mono_nonneg'#@#variant 'hl/thm/real/REAL_LE_MUL2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_gt_lt_iff' 'hl/thm/int/INT_GE_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_le_mono_r' 'hl/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_max_l' 'hl/thm/realax/NADD_LE_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_lt_lin' 'hl/thm/Multivariate/transcendentals/ATN_LE_X_'
0. 'coq/Coq_ZArith_BinInt_Z_add_opp_diag_l' 'hl/thm/int/INT_ADD_LINV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_add_distr' 'hl/thm/Library/prime/EXP_EXP_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pred_le_mono' 'hl/thm/Library/transc/ATN_MONO_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_glb_lt_iff' 'hl/thm/int/INT_LT_MIN_'
0. 'coq/Coq_ZArith_BinInt_Z_gcd_eq_0' 'hl/thm/arith/MULT_EQ_1_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_gcd_assoc' 'hl/thm/realax/TREAL_ADD_ASSOC_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_le_compat_r' 'hl/thm/realax/HREAL_LE_MUL_RCANCEL_IMP_'
0. 'coq/Coq_Arith_PeanoNat_Nat_div_le_mono' 'hl/thm/arith/DIV_MONO_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_divide' 'hl/thm/realax/TREAL_OF_NUM_LE_'#@#variant
0. 'coq/Coq_Bool_Bool_eqb_negb2' 'hl/thm/calc_int/REAL_ADD_RINV_'#@#variant
0. 'coq/Coq_ZArith_Zquot_Z_quot_monotone'#@#variant 'hl/thm/Library/analysis/REAL_LE_RMUL_IMP_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_succ_not_1' 'hl/thm/Complex/complex_transc/CEXP_NONZERO_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qle_lt_trans' 'hl/thm/arith/LET_TRANS_'
0. 'coq/Coq_Bool_Bool_orb_false_iff' 'hl/thm/arith/MULT_EQ_1_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_max_id' 'hl/thm/real/REAL_MAX_ACI_3'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_refl' 'hl/thm/realax/TREAL_EQ_REFL_'#@#variant
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_incr_twice_plus_one' 'hl/thm/calc_num/ARITH_5'
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_nonneg_l'#@#variant 'hl/thm/real/REAL_LT_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_refl' 'hl/thm/realax/REAL_LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_lub_lt_iff' 'hl/thm/real/REAL_MAX_LT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_le_mono' 'hl/thm/Library/transc/ATN_MONO_LT_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_is_pos'#@#variant 'hl/thm/realarith/REAL_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_even_2'#@#variant 'hl/thm/Multivariate/complexes/IM_II_'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tmult_plus_distr_stable' 'hl/thm/Library/multiplicative/MULTIPLICATIVE_TAU_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_rem_1_r'#@#variant 'hl/thm/arith/EXP_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_lub_l' 'hl/thm/Library/integer/INT_DIVIDES_RMUL2_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_glb_iff' 'hl/thm/int/INT_LT_MIN_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_succ_r' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RNEG_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_nonneg_cancel_r'#@#variant 'hl/thm/real/REAL_LE_MUL_EQ_1'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_lt_mono_r' 'hl/thm/int/INT_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_succ_not_1' 'hl/thm/Library/transc/REAL_EXP_NZ_'#@#variant
0. 'coq/Coq_Reals_RIneq_Ropp_mult_distr_l' 'hl/thm/Multivariate/transcendentals/RPOW_INV_'
0. 'coq/Coq_Reals_RIneq_Rlt_0_sqr'#@#variant 'hl/thm/real/REAL_ABS_CASES_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_shiftr_div_pow2'#@#variant 'hl/thm/int/INT_SUB_RNEG_'
0. 'coq/Coq_QArith_QArith_base_Zlt_Qlt' 'hl/thm/int/INT_OF_NUM_LE_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_total' 'hl/thm/int/INT_LT_TOTAL_'
0. 'coq/Coq_ZArith_Znat_Z2N_inj_0' 'hl/thm/Multivariate/complexes/IM_II_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_nge' 'hl/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_nge' 'hl/thm/int/INT_LT_'
0. 'coq/Coq_NArith_BinNat_N_mul_1_l' 'hl/thm/realax/HREAL_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_cancel_l' 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_ADD_LCANCEL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_succ_l' 'hl/thm/int/INT_NEG_LMUL_'
0. 'coq/Coq_Reals_RIneq_Rnot_ge_gt' 'hl/thm/int/INT_LTE_TOTAL_'
0. 'coq/Coq_Reals_RIneq_Rplus_opp_r_uniq' 'hl/thm/Library/analysis/REAL_RINV_UNIQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_pos_l'#@#variant 'hl/thm/real/REAL_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_ZArith_Znumtheory_rel_prime_1'#@#variant 'hl/thm/Library/integer/INT_DIVIDES_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_succ_r' 'hl/thm/int/INT_MUL_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_eq_0' 'hl/thm/realarith/REAL_ENTIRE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_le_compat_r' 'hl/thm/realax/NADD_LE_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_pos'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_POS_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_lt_mono_l' 'hl/thm/arith/LT_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ge_le_iff' 'hl/thm/arith/GE_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_lt_trans' 'hl/thm/int/INT_LET_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_2' 'hl/thm/realax/REAL_INV_0_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_lt_mono_pos_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LT_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_succ_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LNEG_'
0. 'coq/Coq_Arith_Lt_le_not_lt' 'hl/thm/real/REAL_LET_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sub_succ' 'hl/thm/int/INT_NEG_MUL2_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_le_iff' 'hl/thm/real/REAL_LT_MAX_'
0. 'coq/Coq_Reals_Rminmax_R_min_glb' 'hl/thm/Complex/cpoly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_le_succ_diag_r' 'hl/thm/Library/analysis/LESS_EQ_SUC_REFL_'
0. 'coq/Coq_Reals_ROrderedType_ROrder_le_refl' 'hl/thm/Library/poly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_r' 'hl/thm/Library/prime/LESS_MONO_ADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_0_l' 'hl/thm/Library/integer/INT_DIVIDES_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_1_l'#@#variant 'hl/thm/int/INT_NEG_MINUS1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftl_1_l'#@#variant 'hl/thm/realarith/REAL_POLY_NEG_CLAUSES_0'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_shuffle3' 'hl/thm/arith/MULT_AC_2'
0. 'coq/Coq_Reals_Rtrigo1_sin_neg' 'hl/thm/Multivariate/transcendentals/SIN_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_glb' 'hl/thm/Library/prime/DIVIDES_ADD_'
0. 'coq/Coq_Reals_Rtrigo1_COS_bound/0' 'hl/thm/arith/LT_0_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_succ_l' 'hl/thm/Multivariate/transcendentals/REAL_ABS_RPOW_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_nonneg_pos'#@#variant 'hl/thm/int/INT_LET_ADD_'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_p_rewrite_stable' 'hl/thm/Multivariate/realanalysis/POLYNOMIAL_FUNCTION_BERNOULLI_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_mod_idemp_r' 'hl/thm/arith/MOD_MULT_RMOD_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sgn_nonneg'#@#variant 'hl/thm/int/INT_SGN_INEQS_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_le_compat_r' 'hl/thm/Library/prime/DIVIDES_EXP_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_ldiff_diag' 'hl/thm/int/INT_SUB_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_2' 'hl/thm/calc_int/REAL_NEG_0_'
0. 'coq/Coq_ZArith_BinInt_Z_divide_0_r' 'hl/thm/Library/integer/INT_DIVIDES_0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_nonneg'#@#variant 'hl/thm/Multivariate/complexes/REAL_INV_EQ_'#@#variant
0. 'coq/Coq_Reals_Rfunctions_Rinv_pow' 'hl/thm/Library/analysis/POW_INV_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_clearbit_spec_prime'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_RNEG_'
0. 'coq/Coq_Reals_R_sqrt_sqrt_positivity'#@#variant 'hl/thm/Multivariate/transcendentals/REAL_SIN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_nonneg_l'#@#variant 'hl/thm/Library/analysis/REAL_LT_LMUL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_odd_0' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_pos_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LE_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_succ_diag_r' 'hl/thm/arith/LT_POW2_REFL_'#@#variant
0. 'coq/Coq_Reals_RIneq_minus_INR' 'hl/thm/int/INT_OF_NUM_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_nonneg_nonpos'#@#variant 'hl/thm/real/REAL_NEG_GE0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_le_mono_l' 'hl/thm/realax/HREAL_LE_ADD_LCANCEL_'
0. 'coq/Coq_ZArith_Zorder_Zgt_asym' 'hl/thm/int/INT_LT_GT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sub_diag' 'hl/thm/int/INT_SUB_REFL_'#@#variant
0. 'coq/Coq_Reals_R_sqrt_sqrt_less_alt'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_LE_X_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qplus_inj_r' 'hl/thm/int/INT_LE_RADD_'
0. 'coq/Coq_Reals_Rbasic_fun_Rmin_glb_lt' 'hl/thm/Library/prime/DIVIDES_SUB_'
0. 'coq/Coq_ZArith_BinInt_Zplus_succ_r_reverse' 'hl/thm/arith/ADD_SUC_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_total' 'hl/thm/arith/LT_CASES_'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_succ' 'hl/thm/Complex/complex_transc/CX_CCOS_'
0. 'coq/Coq_ZArith_Znat_Z2Nat_inj_pred' 'hl/thm/Complex/complexnumbers/CX_NEG_'
0. 'coq/Coq_NArith_BinNat_N_log2_null'#@#variant 'hl/thm/real/REAL_SGN_EQ_2'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lor_0_l' 'hl/thm/int/INT_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_le_mono_r' 'hl/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_Reals_RIneq_opp_IZR' 'hl/thm/Multivariate/transcendentals/CX_COS_'#@#variant
0. 'coq/Coq_Numbers_Cyclic_ZModulo_ZModulo_Ptail_pos'#@#variant 'hl/thm/realarith/REAL_POS_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mod_1_r'#@#variant 'hl/thm/Library/prime/INDEX_1_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_add_r' 'hl/thm/Library/integer/INT_DIVIDES_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_lt_mono_r' 'hl/thm/int/INT_LT_RADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_le_trans' 'hl/thm/int/INT_LTE_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pred_succ' 'hl/thm/Multivariate/transcendentals/CCOS_CACS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lxor_0_l' 'hl/thm/realax/REAL_MUL_LID_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_0_r' 'hl/thm/calc_int/REAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lcm_1_l'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_gcd_divide_r' 'hl/thm/Library/prime/INDEX_TRIVIAL_BOUND_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_div_0_l' 'hl/thm/arith/MOD_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_le_mono' 'hl/thm/Library/floor/FLOOR_MONO_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div_0_l' 'hl/thm/arith/DIV_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pow_lt_mono'#@#variant 'hl/thm/real/REAL_LT_MUL2_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_size_nat_monotone' 'hl/thm/Library/calc_real/REAL_MONO_POW2_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_glb_lt' 'hl/thm/Library/prime/DIVIDES_ADD_'
0. 'coq/Coq_Reals_Rminmax_R_min_glb_lt_iff' 'hl/thm/real/REAL_LT_MIN_'
0. 'coq/Coq_Reals_Rminmax_R_min_le_compat_l' 'hl/thm/int/INT_LE_LADD_IMP_'
0. 'coq/Coq_QArith_Qminmax_Q_le_max_l' 'hl/thm/arith/LE_ADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_sqrt' 'hl/thm/Multivariate/transcendentals/CX_COS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_divide_mono_r' 'hl/thm/Library/analysis/LESS_MONO_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div2_neg' 'hl/thm/calc_num/ARITH_60'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_0_sub'#@#variant 'hl/thm/realarith/REAL_SUB_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_le_mono_r' 'hl/thm/arith/LT_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_inj_wd' 'hl/thm/nums/SUC_INJ_'
0. 'coq/Coq_NArith_BinNat_N_even_sub' 'hl/thm/real/REAL_OF_NUM_SUB_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_nlt_ge' 'hl/thm/realax/real_lt_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mod_mod' 'hl/thm/arith/MOD_MOD_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_even_1'#@#variant 'hl/thm/nums/ZERO_DEF_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_sub_le_add_r' 'hl/thm/real/REAL_LE_SUB_LADD_'
0. 'coq/Coq_NArith_BinNat_N_add_succ_r' 'hl/thm/calc_int/REAL_MUL_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_sub_lt_add_r' 'hl/thm/real/REAL_LT_ADD_SUB_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_add_r' 'hl/thm/realax/NADD_LE_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_shiftr' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_LNEG_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_max_l' 'hl/thm/realax/NADD_LE_ADD_'
0. 'coq/Coq_ZArith_Zeven_Zodd_Sn' 'hl/thm/Multivariate/transcendentals/REAL_EXP_LT_1_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_inj_wd' 'hl/thm/Multivariate/vectors/SQRT_INJ_'
0. 'coq/Coq_PArith_BinPos_Pos_mul_succ_r' 'hl/thm/arith/MULT_SUC_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_0_r' 'hl/thm/int/INT_MUL_RZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_pos'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_POS_LE_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_le_0_l' 'hl/thm/Library/integer/INT_DIVIDES_1_'#@#variant
0. 'coq/Coq_NArith_Ndist_ni_min_inf_l' 'hl/thm/arith/MULT_CLAUSES_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_refl' 'hl/thm/Multivariate/misc/GE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_1_l' 'hl/thm/arith/MULT_CLAUSES_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_le_mono_r'#@#variant 'hl/thm/Library/analysis/REAL_LT_LMUL_IMP_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_land_0_r' 'hl/thm/Library/prime/INDEX_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_pos_cancel_r'#@#variant 'hl/thm/int/INT_LT_MUL_EQ_1'#@#variant
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_pred' 'hl/thm/Multivariate/transcendentals/CX_ATN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_neq_succ_0' 'hl/thm/Multivariate/transcendentals/REAL_EXP_NZ_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_id' 'hl/thm/int/int_abstr_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_le_mono_l' 'hl/thm/realax/NADD_LE_LADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_factor_l' 'hl/thm/int/INT_MAX_MAX_/0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_land_0_r' 'hl/thm/int/INT_MUL_RZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_le_compat_r' 'hl/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lxor_nilpotent' 'hl/thm/arith/SUB_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_pos'#@#variant 'hl/thm/Library/transc/ATN_POS_LT_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mod_0_l' 'hl/thm/arith/MOD_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_lt_mono_l' 'hl/thm/arith/LT_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_lt_trans' 'hl/thm/int/INT_LET_TRANS_'
0. 'coq/Coq_Arith_Le_le_n_S' 'hl/thm/Library/floor/FLOOR_MONO_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_opp' 'hl/thm/Multivariate/transcendentals/CNJ_CTAN_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_lt_lin'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_double_mul' 'hl/thm/Multivariate/transcendentals/REAL_INV_RPOW_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_eq_0' 'hl/thm/int/INT_ENTIRE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_alt_dichotomy' 'hl/thm/arith/LE_CASES_'
0. 'coq/Coq_Reals_Rfunctions_pow_lt'#@#variant 'hl/thm/real/REAL_POW_LE_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_inv_norm' 'hl/thm/Library/transc/SQRT_POS_LE_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qmult_le_compat_r'#@#variant 'hl/thm/real/REAL_LT_RMUL_'#@#variant
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_double'#@#variant 'hl/thm/Complex/complexnumbers/CX_INV_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_lt_lin'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_glb_iff' 'hl/thm/int/INT_LE_MIN_'
0. 'coq/Coq_PArith_BinPos_Pos_mul_lt_mono_l' 'hl/thm/realax/NADD_LE_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_total' 'hl/thm/Library/analysis/LESS_CASES_IMP_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_0_l' 'hl/thm/Library/prime/DIVIDES_1_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_shuffle3' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_AC_2'
0. 'coq/Coq_ZArith_Zeven_Zeven_pred' 'hl/thm/Library/pratt/PHI_LOWERBOUND_2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_le_compat_r' 'hl/thm/Library/prime/LESS_MONO_ADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_lcm_l' 'hl/thm/realax/NADD_LE_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_1_l' 'hl/thm/arith/SUB_0_/0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lcm_0_r' 'hl/thm/int/INT_MUL_RZERO_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_0_mul_prime'#@#variant 'hl/thm/arith/LT_MULT_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_even_opp' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_CNJ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_nle_gt' 'hl/thm/Library/analysis/real_le_'
0. 'coq/Coq_NArith_BinNat_N_div_mul_le' 'hl/thm/arith/MULT_DIV_LE_'#@#variant
0. 'coq/Coq_QArith_Qminmax_Q_min_max_distr' 'hl/thm/realax/TREAL_ADD_LDISTRIB_'#@#variant
0. 'coq/Coq_ZArith_Znat_Zabs2Nat_id_abs' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_CX_'
0. 'coq/Coq_ZArith_Zpow_facts_Zpower_gt_1'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_LT_1_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_add_le_sub_r' 'hl/thm/real/REAL_LT_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_lub_lt_iff' 'hl/thm/int/INT_MAX_LT_'
0. 'coq/Coq_Reals_Raxioms_Rplus_0_l' 'hl/thm/realax/REAL_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_le_iff' 'hl/thm/int/INT_LE_MAX_'
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_pos'#@#variant 'hl/thm/Library/pocklington/PHI_LOWERBOUND_1_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_max_le_iff' 'hl/thm/int/INT_LE_MAX_'
0. 'coq/Coq_ZArith_Zdiv_Zdiv_0_r' 'hl/thm/Library/prime/INDEX_0_'#@#variant
0. 'coq/Coq_Arith_Lt_lt_0_neq'#@#variant 'hl/thm/int/INT_POS_NZ_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_neg_sin' 'hl/thm/Library/transc/SIN_PERIODIC_PI_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lcm_1_l' 'hl/thm/Complex/complexnumbers/COMPLEX_POLY_NEG_CLAUSES_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sub_le_mono_r' 'hl/thm/realax/HREAL_LE_MUL_RCANCEL_IMP_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div2_double' 'hl/thm/Multivariate/transcendentals/CSIN_CASN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_land_diag' 'hl/thm/real/REAL_MIN_ACI_3'
0. 'coq/Coq_NArith_Nnat_N2Nat_id' 'hl/thm/Complex/complexnumbers/complex_tybij_1'#@#variant
0. 'coq/Coq_NArith_BinNat_N_le_ge_cases' 'hl/thm/realax/REAL_LE_TOTAL_'
0. 'coq/Coq_Reals_R_sqrt_sqrt_positivity'#@#variant 'hl/thm/Library/transc/SQRT_POS_LT_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lor_0_l' 'hl/thm/realax/REAL_ADD_LID_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_le_mono_l_iff' 'hl/thm/Library/prime/DIVIDES_RMUL2_EQ_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mod_same' 'hl/thm/arith/MOD_REFL_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_digits/0'#@#variant 'hl/thm/Multivariate/transcendentals/ARG_/0'#@#variant
0. 'coq/Coq_NArith_BinNat_N_clearbit_spec_prime'#@#variant 'hl/thm/realax/real_sub_'
0. 'coq/Coq_PArith_BinPos_Pos_max_le_compat_l' 'hl/thm/Library/integer/INT_DIVIDES_MUL_L_'
0. 'coq/Coq_NArith_BinNat_N_mul_eq_0' 'hl/thm/real/REAL_DIV_EQ_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sub_0_le' 'hl/thm/arith/SUB_EQ_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lcm_1_l' 'hl/thm/arith/ADD_CLAUSES_0'
0. 'coq/Coq_ZArith_Zquot_Zrem_opp_l' 'hl/thm/arith/ADD_CLAUSES_2'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_lt_mono_l' 'hl/thm/arith/LT_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_min_r' 'hl/thm/real/REAL_MIN_MIN_/1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_eq_0' 'hl/thm/real/REAL_DIV_EQ_0_'#@#variant
0. 'coq/Coq_Reals_ROrderedType_ROrder_le_refl' 'hl/thm/arith/LE_REFL_'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tred_factor2_stable' 'hl/thm/Library/multiplicative/MULTIPLICATIVE_PHI_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_pos'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_POS_'#@#variant
0. 'coq/Coq_Numbers_Cyclic_DoubleCyclic_DoubleBase_wB_pos'#@#variant 'hl/thm/real/REAL_LE_POW2_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_sqrt' 'hl/thm/Complex/complex_transc/CX_CSIN_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_le_incl' 'hl/thm/arith/LT_IMP_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_nonneg_r'#@#variant 'hl/thm/real/REAL_LE_RMUL_'#@#variant
0. 'coq/Coq_Bool_Bool_negb_orb' 'hl/thm/Library/transc/REAL_EXP_ADD_'
0. 'coq/Coq_Reals_Rtopology_compact_P2' 'hl/thm/Multivariate/realanalysis/REAL_COMPACT_IMP_BOUNDED_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_gt_cases' 'hl/thm/realarith/REAL_LET_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gt_lt_iff' 'hl/thm/arith/GT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_sgn' 'hl/thm/real/REAL_SGN_REAL_SGN_'
0. 'coq/Coq_Arith_PeanoNat_Nat_land_0_r' 'hl/thm/arith/MULT_0_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_le_compat_l' 'hl/thm/realax/NADD_LE_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_double_spec' 'hl/thm/real/REAL_SUB_LZERO_'
0. 'coq/Coq_Numbers_Cyclic_DoubleCyclic_DoubleSqrt_Zsquare_mult'#@#variant 'hl/thm/arith/EXP_2_'#@#variant
0. 'coq/Coq_Reals_Rtopology_compact_P1' 'hl/thm/Multivariate/realanalysis/REAL_COMPACT_IMP_BOUNDED_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ge_le_iff' 'hl/thm/arith/GT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_le_mono' 'hl/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_opp_diag_r' 'hl/thm/int/INT_ADD_RINV_'#@#variant
0. 'coq/Coq_ZArith_Zsqrt_compat_Zsqrt_plain_is_pos'#@#variant 'hl/thm/Library/floor/INTEGER_CLOSED_5'
0. 'coq/Coq_NArith_BinNat_N_pred_le_mono' 'hl/thm/realax/NADD_INV_WELLDEF_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_shiftr_ldiff' 'hl/thm/realax/NADD_RDISTRIB_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gt_lt_iff' 'hl/thm/int/INT_GE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_opp_diag_l' 'hl/thm/int/INT_ADD_LINV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_succ_r' 'hl/thm/arith/MULT_SUC_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_null_iff' 'hl/thm/real/REAL_INV_EQ_0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div_le_mono'#@#variant 'hl/thm/Library/analysis/REAL_LE_RMUL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_nonpos' 'hl/thm/int/INT_SGN_INEQS_7'#@#variant
0. 'coq/Coq_NArith_BinNat_N_gcd_greatest' 'hl/thm/Library/prime/DIVIDES_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_pos' 'hl/thm/real/REAL_SGN_INEQS_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_shuffle3' 'hl/thm/real/REAL_MAX_ACI_2'
0. 'coq/Coq_Reals_Rfunctions_pow_1'#@#variant 'hl/thm/int/INT_POW_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_opp_l' 'hl/thm/calc_int/REAL_MUL_LNEG_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_pow_pos' 'hl/thm/calc_int/REAL_OF_NUM_POW_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_pred_double_succ' 'hl/thm/calc_num/ARITH_9'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_lt_mono_l' 'hl/thm/real/REAL_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_max_distr_l' 'hl/thm/arith/EXP_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_le_mono_pos_r'#@#variant 'hl/thm/real/REAL_LT_RMUL_EQ_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_0_r'#@#variant 'hl/thm/arith/MOD_1_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_0_iff' 'hl/thm/calc_num/ARITH_50'
0. 'coq/Coq_Reals_Rbasic_fun_Ropp_Rmax' 'hl/thm/Complex/complex_transc/CEXP_ADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_max_r' 'hl/thm/real/REAL_MAX_MAX_/1'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_div2' 'hl/thm/Multivariate/transcendentals/CX_TAN_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rle_min_compat_r' 'hl/thm/arith/EXP_MONO_LE_IMP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_null'#@#variant 'hl/thm/int/INT_SGN_EQ_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_lteq' 'hl/thm/realarith/REAL_LE_LT_'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_le_mono_l_iff' 'hl/thm/Library/prime/DIVIDES_EXP2_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_lt_mono_r' 'hl/thm/int/INT_LT_RADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_pred' 'hl/thm/arith/PRE_1'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_lub_lt_iff' 'hl/thm/int/INT_MAX_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_0_l' 'hl/thm/int/INT_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div2_succ_double' 'hl/thm/Multivariate/transcendentals/CCOS_CACS_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_lt_mono_r' 'hl/thm/arith/LE_ADD_RCANCEL_'
0. 'coq/Coq_ZArith_BinInt_Z_div2_neg' 'hl/thm/real/REAL_SGN_INEQS_6'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_0_r' 'hl/thm/Library/pocklington/ORDER_1_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_pos'#@#variant 'hl/thm/real/REAL_LE_INV_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_pos'#@#variant 'hl/thm/Library/transc/ATN_POS_LT_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_eq_mul_m1'#@#variant 'hl/thm/arith/ADD1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_2' 'hl/thm/Multivariate/misc/SQRT_0_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_m1'#@#variant 'hl/thm/nums/ZERO_DEF_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_lcm_r' 'hl/thm/int/INT_MAX_MAX_/1'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_le_compat_l' 'hl/thm/realax/TREAL_LE_LADD_IMP_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_add_lt_sub_r' 'hl/thm/int/INT_LE_SUB_LADD_'
0. 'coq/Coq_ZArith_BinInt_Z_add_1_l' 'hl/thm/Complex/complexnumbers/COMPLEX_POLY_NEG_CLAUSES_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_le_mono' 'hl/thm/Multivariate/transcendentals/ATN_MONO_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_divide/1' 'hl/thm/int/INT_MIN_MIN_/1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sub_succ' 'hl/thm/int/INT_NEG_MUL2_'
0. 'coq/Coq_PArith_BinPos_Pos_min_glb_lt' 'hl/thm/Library/prime/DIVIDES_ADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_min_le_compat_l' 'hl/thm/realax/NADD_LE_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_succ_pred_pos'#@#variant 'hl/thm/Multivariate/transcendentals/EXP_LOG_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_sub_le_mono_r' 'hl/thm/Library/prime/DIVIDES_MUL_R_'
0. 'coq/Coq_ZArith_Znat_Zabs2N_id' 'hl/thm/Multivariate/complexes/RE_CX_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_lub_lt_iff' 'hl/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_mod_idemp_l' 'hl/thm/arith/MOD_MULT_LMOD_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_ge_cases' 'hl/thm/int/INT_LE_TOTAL_'
0. 'coq/Coq_PArith_BinPos_Pos_le_refl' 'hl/thm/realax/TREAL_LE_REFL_'#@#variant
0. 'coq/Coq_Init_Peano_plus_O_n' 'hl/thm/arith/MULT_CLAUSES_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_pos_cancel_r'#@#variant 'hl/thm/Library/analysis/REAL_LT_RDIV_0_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_max_le_compat_l' 'hl/thm/realax/NADD_MUL_WELLDEF_LEMMA_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_lt_mono_r_iff'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LT_EQ_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_cancel_l' 'hl/thm/int/INT_EQ_ADD_LCANCEL_'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_iff' 'hl/thm/realax/HREAL_OF_NUM_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_lcm_r' 'hl/thm/arith/LE_ADDR_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_sub_le_add_r' 'hl/thm/real/REAL_LT_ADD_SUB_'
0. 'coq/Coq_Arith_Mult_mult_lt_compat_l'#@#variant 'hl/thm/real/REAL_LE_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_glb_iff' 'hl/thm/int/INT_LT_MIN_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_phi' 'hl/thm/Multivariate/vectors/LIFT_DROP_0'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_lub_iff' 'hl/thm/real/REAL_MAX_LT_'
0. 'coq/Coq_ZArith_BinInt_Z_lxor_nilpotent' 'hl/thm/arith/SUB_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_mod_idemp_l' 'hl/thm/arith/MOD_EXP_MOD_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_sub_le_add_r' 'hl/thm/real/REAL_LE_SUB_RADD_'
0. 'coq/Coq_Reals_Raxioms_Rmult_1_l' 'hl/thm/realax/REAL_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lxor_m1_l'#@#variant 'hl/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_mul_l' 'hl/thm/Library/integer/INT_DIVIDES_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_le_lin'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_LT_X_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_neq' 'hl/thm/int/INT_LT_IMP_NE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_le_mono_nonneg_l'#@#variant 'hl/thm/Library/analysis/REAL_LT_LMUL_IMP_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z2Pos_id'#@#variant 'hl/thm/int/INT_OF_NUM_OF_INT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_lt' 'hl/thm/real/REAL_BOUNDS_LT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_lt_mono_l' 'hl/thm/int/INT_LE_LADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_divide_mono_r' 'hl/thm/Library/prime/DIVIDES_MUL_R_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_xO_r' 'hl/thm/int/INT_MUL_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_ge_cases' 'hl/thm/realax/REAL_LE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_sub_r' 'hl/thm/Library/integer/INT_DIVIDES_SUB_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_even_2' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_sub_1_r' 'hl/thm/arith/ADD1_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_pos_neg'#@#variant 'hl/thm/int/INT_NEG_GE0_'#@#variant
0. 'coq/Coq_Reals_Ratan_atan_bound/1'#@#variant 'hl/thm/Library/floor/FLOOR_FRAC_/2'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_even_1' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_digits/0'#@#variant 'hl/thm/Library/floor/RATIONAL_NUM_'
0. 'coq/Coq_Reals_RIneq_Ropp_involutive' 'hl/thm/calc_int/REAL_NEG_NEG_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pow_le_mono_l' 'hl/thm/Library/integer/INT_DIVIDES_MUL_R_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_opp' 'hl/thm/Complex/complexnumbers/CNJ_INV_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_lt_trans' 'hl/thm/int/INT_LET_TRANS_'
0. 'coq/Coq_ZArith_BinInt_Z_double_spec' 'hl/thm/int/INT_SUB_LZERO_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_0_l' 'hl/thm/int/INT_ADD_LID_'#@#variant
0. 'coq/Coq_Reals_RList_RList_P1' 'hl/thm/Library/floor/INTEGER_CLOSED_4'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_2' 'hl/thm/realax/REAL_INV_0_'
0. 'coq/Coq_Arith_Gt_gt_n_S' 'hl/thm/realax/NADD_INV_WELLDEF_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_even_0' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_1_l'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mod_1_r'#@#variant 'hl/thm/arith/MOD_1_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_nonneg_cancel_l'#@#variant 'hl/thm/real/REAL_LE_MUL_EQ_0'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_sin_neg' 'hl/thm/Complex/complexnumbers/CNJ_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_1_l'#@#variant 'hl/thm/int/INT_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lcm_1_l'#@#variant 'hl/thm/realax/REAL_MUL_LID_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_refl' 'hl/thm/realax/NADD_LE_REFL_'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_pred' 'hl/thm/Multivariate/complexes/IM_CNJ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lxor_lnot_lnot' 'hl/thm/int/INT_NEG_MUL2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_divide_r' 'hl/thm/real/REAL_MIN_MIN_/1'
0. 'coq/Coq_QArith_Qminmax_Q_min_glb_iff' 'hl/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_trichotomy' 'hl/thm/int/INT_LT_TOTAL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_1_l'#@#variant 'hl/thm/realax/REAL_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_quot_le_mono'#@#variant 'hl/thm/Library/analysis/REAL_LE_RMUL_IMP_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_id' 'hl/thm/int/INT_MIN_ACI_3'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_neg_iff'#@#variant 'hl/thm/real/REAL_SGN_EQ_1'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_T_OMEGA12_stable' 'hl/thm/Library/multiplicative/MULTIPLICATIVE_PHI_'
0. 'coq/Coq_ZArith_BinInt_Z_max_le_compat_l' 'hl/thm/realax/NADD_MUL_WELLDEF_LEMMA_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_of_N' 'hl/thm/int/int_of_num_th_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lxor_m1_r'#@#variant 'hl/thm/arith/ADD1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_even_1'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_land_lnot_diag' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_RINV_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rlt_0_1' 'hl/thm/Library/transc/PI2_BOUNDS_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_le_iff' 'hl/thm/int/INT_LE_MAX_'
0. 'coq/Coq_Arith_PeanoNat_Nat_succ_inj_wd' 'hl/thm/Multivariate/complexes/CNJ_INJ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_neq' 'hl/thm/real/REAL_LT_IMP_NE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_add_cancel_r' 'hl/thm/Library/prime/DIVIDES_ADD_REVR_'
0. 'coq/Coq_PArith_BinPos_Pos_gt_lt_iff' 'hl/thm/arith/GT_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_nle_gt' 'hl/thm/realarith/REAL_NOT_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_le_compat_r' 'hl/thm/Library/integer/INT_DIVIDES_MUL_R_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_succ_r' 'hl/thm/calc_int/REAL_MUL_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_pred' 'hl/thm/Multivariate/transcendentals/CSIN_CASN_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pred_div2_up' 'hl/thm/Multivariate/transcendentals/CX_EXP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_le_compat_r' 'hl/thm/Library/analysis/LESS_MONO_ADD_'
0. 'coq/Coq_QArith_Qminmax_Q_max_le_compat_l' 'hl/thm/int/INT_LE_LADD_IMP_'
0. 'coq/Coq_Reals_Rtrigo_def_sin_antisym' 'hl/thm/Multivariate/complexes/CNJ_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_pos' 'hl/thm/real/REAL_SGN_INEQS_3'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qplus_le_l' 'hl/thm/arith/LE_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_asymm' 'hl/thm/real/REAL_LT_ANTISYM_'
0. 'coq/Coq_NArith_BinNat_N_lt_nge' 'hl/thm/arith/NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_lteq' 'hl/thm/realarith/REAL_LE_LT_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_mod' 'hl/thm/arith/MOD_ADD_MOD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_neq_succ_0' 'hl/thm/Library/transc/REAL_EXP_NZ_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_le_compat_l' 'hl/thm/realax/NADD_MUL_WELLDEF_LEMMA_'
0. 'coq/Coq_ZArith_BinInt_Z_sgn_opp' 'hl/thm/Multivariate/transcendentals/CNJ_CCOS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_min_r' 'hl/thm/Library/prime/INDEX_TRIVIAL_BOUND_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_lt_mono_pos_r'#@#variant 'hl/thm/real/REAL_LE_RMUL_EQ_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_ge_le_iff' 'hl/thm/arith/GT_'
0. 'coq/Coq_PArith_Pnat_Nat2Pos_inj_pred' 'hl/thm/Complex/complex_transc/CX_CCOS_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_divide_mono_l' 'hl/thm/realax/NADD_MUL_WELLDEF_LEMMA_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_le' 'hl/thm/real/REAL_BOUNDS_LT_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_sub' 'hl/thm/int/INT_OF_NUM_SUB_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gt_lt_iff' 'hl/thm/int/INT_GE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_involutive' 'hl/thm/int/INT_NEGNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_opp_r' 'hl/thm/calc_int/REAL_MUL_RNEG_'
0. 'coq/Coq_QArith_Qabs_Qabs_wd' 'hl/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_trichotomy' 'hl/thm/arith/LT_CASES_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_nlt_ge' 'hl/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_shuffle3' 'hl/thm/realax/HREAL_ADD_AC_2'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_lt_lin'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_eq_le_incl' 'hl/thm/int/INT_EQ_IMP_LE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_nonneg' 'hl/thm/Multivariate/transcendentals/ATN_BOUNDS_/0'#@#variant
0. 'coq/Coq_ZArith_Zlogarithm_log_sup_correct1'#@#variant 'hl/thm/int/INT_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_lt_mono_r' 'hl/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_QArith_QOrderedType_QOrder_not_ge_lt' 'hl/thm/int/INT_LTE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_le_mono_r'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LE_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_max_0_l' 'hl/thm/realax/REAL_MUL_LID_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_lt_mono_r'#@#variant 'hl/thm/int/INT_LE_LMUL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lt_nge' 'hl/thm/int/INT_NOT_LT_'
0. 'coq/Coq_Reals_AltSeries_PI_tg_pos'#@#variant 'hl/thm/Library/floor/RATIONAL_NUM_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_divide_mono_r' 'hl/thm/arith/EXP_MONO_LE_IMP_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_1_l'#@#variant 'hl/thm/realax/HREAL_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_mod' 'hl/thm/arith/MOD_MULT_MOD2_'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tmult_plus_distr_stable' 'hl/thm/Library/multiplicative/MULTIPLICATIVE_SIGMA_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_lub_l' 'hl/thm/Library/integer/INT_DIVIDES_RMUL2_'
0. 'coq/Coq_Reals_RIneq_Rge_refl' 'hl/thm/Complex/cpoly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lor_eq_0_iff' 'hl/thm/arith/ADD_EQ_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_1_r'#@#variant 'hl/thm/Library/prime/INDEX_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_le_mono_r' 'hl/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_pred_succ' 'hl/thm/Multivariate/transcendentals/CSIN_CASN_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_lub_iff' 'hl/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_ZArith_Zsqrt_compat_Zsqrt_plain_is_pos'#@#variant 'hl/thm/Multivariate/complexes/REAL_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_shiftr' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_LNEG_'
0. 'coq/Coq_NArith_BinNat_N_succ_inj_wd' 'hl/thm/calc_num/ARITH_57'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_r' 'hl/thm/Library/integer/INT_DIVIDES_MUL_R_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_nle' 'hl/thm/int/INT_NOT_LT_'
0. 'coq/Coq_Reals_Rbasic_fun_abs_IZR' 'hl/thm/Multivariate/complexes/IM_CNJ_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_min_distr' 'hl/thm/Complex/complex_transc/CEXP_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_gcd_greatest' 'hl/thm/Library/prime/DIVIDES_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_add_diag_r' 'hl/thm/realax/NADD_LE_ADD_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_sub_lt_add_r' 'hl/thm/real/REAL_LT_ADD_SUB_'
0. 'coq/Coq_PArith_BinPos_Pos_max_lt_iff' 'hl/thm/real/REAL_LE_MAX_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_setbit_spec_prime'#@#variant 'hl/thm/real/REAL_SUB_RNEG_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_lub_iff' 'hl/thm/int/INT_MAX_LE_'
0. 'coq/Coq_QArith_QArith_base_Zle_Qle' 'hl/thm/realax/HREAL_OF_NUM_LE_'
0. 'coq/Coq_Reals_RIneq_Rplus_ge_compat_l' 'hl/thm/realax/TREAL_LE_LADD_IMP_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_neg_xO'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_INV_'
0. 'coq/Coq_NArith_BinNat_N_add_shuffle3' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_AC_2'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_trichotomy' 'hl/thm/real/REAL_LT_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_pos_nonneg'#@#variant 'hl/thm/realarith/REAL_LTE_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_alt_dichotomy' 'hl/thm/realax/TREAL_LE_TOTAL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_lt_trans' 'hl/thm/int/INT_LET_TRANS_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_eq_iff'#@#variant 'hl/thm/Multivariate/complexes/REAL_CNJ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_inj_wd' 'hl/thm/real/REAL_EQ_NEG2_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_1_l'#@#variant 'hl/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pos_pred_succ' 'hl/thm/Complex/complexnumbers/complex_tybij_1'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_opp_inj_wd' 'hl/thm/real/REAL_EQ_INV2_'
0. 'coq/Coq_QArith_QArith_base_Zlt_Qlt' 'hl/thm/realax/HREAL_OF_NUM_LE_'
0. 'coq/Coq_Reals_RIneq_Rle_refl' 'hl/thm/Multivariate/misc/GE_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_even_2'#@#variant 'hl/thm/nums/ZERO_DEF_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_pos'#@#variant 'hl/thm/Library/transc/ATN_POS_LT_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_max_lub_r' 'hl/thm/Library/integer/INT_DIVIDES_LMUL2_'
0. 'coq/Coq_QArith_QArith_base_Qmult_lt_l'#@#variant 'hl/thm/int/INT_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_lt_mono_l' 'hl/thm/real/REAL_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lxor_0_l' 'hl/thm/realax/HREAL_ADD_LID_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lxor_0_l' 'hl/thm/arith/MULT_CLAUSES_2'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_setbit_spec_prime'#@#variant 'hl/thm/Complex/complexnumbers/complex_div_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_0_iff' 'hl/thm/real/REAL_SGN_INEQS_4'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lt_add_lt_sub_r' 'hl/thm/int/INT_LT_SUB_RADD_'
0. 'coq/Coq_ZArith_BinInt_Z_lnot_nonneg'#@#variant 'hl/thm/int/INT_NEG_GT0_'#@#variant
0. 'coq/Coq_ZArith_Zmax_Zmax_left' 'hl/thm/arith/MOD_LT_'
0. 'coq/Coq_Arith_PeanoNat_Nat_pred_succ' 'hl/thm/Multivariate/transcendentals/ATN_TAN_'
0. 'coq/Coq_ZArith_BinInt_Z2Pos_inj_succ_double'#@#variant 'hl/thm/Multivariate/complexes/CSQRT_CX_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_1_r' 'hl/thm/arith/ADD_0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_1_l'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant
0. 'coq/Coq_Sets_Uniset_leb_refl' 'hl/thm/realax/TREAL_LE_REFL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sub_succ_r' 'hl/thm/arith/SUB_1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_nle_gt' 'hl/thm/Library/analysis/real_le_'
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_nonneg'#@#variant 'hl/thm/real/REAL_LE_MUL2_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_neg_xO'#@#variant 'hl/thm/Multivariate/transcendentals/CX_SIN_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_gcd_greatest' 'hl/thm/Complex/cpoly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_add_r' 'hl/thm/realax/HREAL_LE_ADD_'
0. 'coq/Coq_NArith_BinNat_N_neq_succ_0' 'hl/thm/Multivariate/transcendentals/REAL_EXP_NZ_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_opp' 'hl/thm/Complex/complex_transc/CX_CEXP_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_pos'#@#variant 'hl/thm/real/REAL_LE_INV_EQ_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_ge_cases' 'hl/thm/realax/HREAL_LE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_le_mono_l_iff' 'hl/thm/Library/integer/INT_DIVIDES_RMUL2_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_succ' 'hl/thm/Multivariate/transcendentals/LOG_EXP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lcm_0_r' 'hl/thm/realax/HREAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_refl' 'hl/thm/Library/poly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_l' 'hl/thm/arith/MOD_LT_'
0. 'coq/Coq_Reals_RIneq_Ropp_0_le_ge_contravar'#@#variant 'hl/thm/Library/pratt/PHI_LOWERBOUND_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_divide_mono_l' 'hl/thm/Library/prime/DIVIDES_MUL_L_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_inv_normc' 'hl/thm/Multivariate/complexes/CX_INV_'#@#variant
0. 'coq/Coq_Reals_Raxioms_Rplus_0_l' 'hl/thm/arith/ADD_CLAUSES_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_sub_le_add_r' 'hl/thm/real/REAL_LE_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_max_l' 'hl/thm/arith/LE_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_le_mono' 'hl/thm/Library/transc/ATN_MONO_LT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_simpl_l' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_SUB_'
0. 'coq/Coq_QArith_QArith_base_Qmult_lt_0_le_reg_r'#@#variant 'hl/thm/real/REAL_LT_RCANCEL_IMP_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sgn_nonneg' 'hl/thm/int/INT_SGN_INEQS_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_ngt' 'hl/thm/Library/analysis/real_le_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_divide_mono_l' 'hl/thm/real/REAL_LT_LADD_IMP_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_ngt' 'hl/thm/realarith/REAL_NOT_LT_'
0. 'coq/Coq_Bool_Bool_diff_true_false' 'hl/thm/Complex/complex_transc/COMPLEX_II_NZ_'#@#variant
0. 'coq/Coq_Reals_AltSeries_PI_tg_pos'#@#variant 'hl/thm/real/REAL_LE_POW2_'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qcnot_lt_le' 'hl/thm/int/INT_LET_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sub_succ' 'hl/thm/real/REAL_NEG_MUL2_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_pos'#@#variant 'hl/thm/real/REAL_LE_POW2_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pow_lt_mono'#@#variant 'hl/thm/real/REAL_LE_MUL2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_nonneg_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LT_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_min_glb' 'hl/thm/Library/prime/DIVIDES_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_1_l'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_LZERO_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_nonneg'#@#variant 'hl/thm/Library/floor/FLOOR_POS_LE_'#@#variant
0. 'coq/Coq_Arith_Lt_le_not_lt' 'hl/thm/arith/LTE_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_pos'#@#variant 'hl/thm/Library/floor/FLOOR_POS_LE_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_sub_le_mono_r' 'hl/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Reals_Ratan_Ratan_seq_opp' 'hl/thm/int/INT_SGN_POW_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_divide_mono_r' 'hl/thm/Library/prime/DIVIDES_MUL_R_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_nonpos' 'hl/thm/int/INT_SGN_INEQS_7'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_le_mono' 'hl/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_lxor_l' 'hl/thm/int/INT_MUL_LNEG_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_0_l' 'hl/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_le_compat_r' 'hl/thm/realax/NADD_LE_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_opp_r' 'hl/thm/Library/integer/INT_DIVIDES_RABS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div_0_l' 'hl/thm/arith/MOD_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_add_lt_sub_r' 'hl/thm/real/REAL_LE_SUB_LADD_'
0. 'coq/Coq_ZArith_BinInt_Z_eq_le_incl' 'hl/thm/realax/TREAL_EQ_AP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_cancel_l' 'hl/thm/calc_int/REAL_EQ_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ge_le_iff' 'hl/thm/int/INT_GT_'
0. 'coq/Coq_Reals_RIneq_cond_nonneg'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_add_r' 'hl/thm/realax/NADD_LE_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_factor_l' 'hl/thm/arith/LE_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_quot_0_l' 'hl/thm/arith/DIV_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_r' 'hl/thm/Library/prime/DIVIDES_MUL_R_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div2_div'#@#variant 'hl/thm/arith/ADD1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_0_r' 'hl/thm/Library/prime/INDEX_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pred_div2_up' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_INV_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_pos' 'hl/thm/real/REAL_SGN_INEQS_2'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_cos_neg' 'hl/thm/calc_int/REAL_ABS_NEG_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_opp' 'hl/thm/int/int_neg_th_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_odd_2'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_opp' 'hl/thm/int/INT_ABS_SGN_'
0. 'coq/Coq_ZArith_Zorder_Zsucc_le_compat' 'hl/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div2_succ_double' 'hl/thm/Library/transc/ATN_/2'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_le_mono' 'hl/thm/Library/transc/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_sub_distr' 'hl/thm/real/REAL_SUB_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_2' 'hl/thm/Multivariate/transcendentals/SIN_0_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_le_iff' 'hl/thm/real/REAL_LE_MAX_'
0. 'coq/Coq_PArith_BinPos_Pos_add_succ_r' 'hl/thm/int/INT_NEG_RMUL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_le_compat_l' 'hl/thm/Library/integer/INT_DIVIDES_MUL_L_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_pos'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_neg_iff'#@#variant 'hl/thm/int/INT_SGN_EQ_1'#@#variant
0. 'coq/Coq_Reals_RIneq_Rmult_le_reg_l'#@#variant 'hl/thm/real/REAL_LE_LCANCEL_IMP_'#@#variant
0. 'coq/Coq_ZArith_Znumtheory_rel_prime_mult' 'hl/thm/Library/prime/DIVIDES_ADD_'
0. 'coq/Coq_NArith_Ndist_ni_le_refl' 'hl/thm/Library/poly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_lt_mono_pos_l'#@#variant 'hl/thm/real/REAL_LE_LMUL_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftr_div_pow2'#@#variant 'hl/thm/Complex/complexnumbers/complex_sub_'
0. 'coq/Coq_ZArith_Znumtheory_rel_prime_mult' 'hl/thm/Complex/cpoly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_lcm_r' 'hl/thm/int/INT_MAX_MAX_/1'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_gt_cases' 'hl/thm/realarith/REAL_LTE_TOTAL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_le_mono_r' 'hl/thm/realax/HREAL_LE_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_nonpos' 'hl/thm/int/INT_SGN_INEQS_5'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_lub_l' 'hl/thm/Library/integer/INT_DIVIDES_RMUL2_'
0. 'coq/Coq_PArith_BinPos_Pos_max_id' 'hl/thm/real/REAL_MIN_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_land_0_r' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_le_mono_r' 'hl/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_0_l' 'hl/thm/int/INT_NEG_MINUS1_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_sub_lt_add_r' 'hl/thm/real/REAL_LT_SUB_LADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_le_mono' 'hl/thm/Library/floor/FLOOR_MONO_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_le_compat_r' 'hl/thm/Library/prime/DIVIDES_MUL_R_'
0. 'coq/Coq_Reals_Rtrigo1_sin_shift'#@#variant 'hl/thm/Library/transc/COS_SIN_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_rem_opp_l_prime' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_le_mono_r' 'hl/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_le_mono_r' 'hl/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_NArith_BinNat_N_lt_lt_succ_r' 'hl/thm/Library/analysis/LESS_SUC_'
0. 'coq/Coq_Reals_Rtrigo_calc_deg_rad' 'hl/thm/Library/transc/ATN_TAN_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_lt_le_mono' 'hl/thm/real/REAL_LTE_ADD2_'
0. 'coq/Coq_QArith_QArith_base_Qlt_not_le' 'hl/thm/realarith/REAL_LTE_ANTISYM_'
0. 'coq/Coq_ZArith_BinInt_Z_sgn_neg_iff'#@#variant 'hl/thm/real/REAL_SGN_EQ_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_divide_add_cancel_l' 'hl/thm/Library/poly/POLY_DIVIDES_SUB2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_lcm_r' 'hl/thm/arith/LE_ADDR_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_0_sub'#@#variant 'hl/thm/int/INT_SUB_LT_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_nge' 'hl/thm/Library/analysis/real_le_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_succ_l' 'hl/thm/Multivariate/transcendentals/RPOW_INV_'
0. 'coq/Coq_NArith_BinNat_N_sub_diag' 'hl/thm/arith/SUB_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_le_mono' 'hl/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_fourier_Fourier_util_Rlt_zero_pos_plus1'#@#variant 'hl/thm/Multivariate/transcendentals/REAL_COS_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_le_lin' 'hl/thm/Library/pocklington/PHI_LIMIT_'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_lt_lin'#@#variant 'hl/thm/Library/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pred_div2_up' 'hl/thm/Complex/complexnumbers/CX_NEG_'
0. 'coq/Coq_QArith_Qpower_Qpower_pos_positive'#@#variant 'hl/thm/Library/floor/RATIONAL_CLOSED_6'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_opp' 'hl/thm/Multivariate/vectors/SQRT_WORKS_GEN_/0'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_le_compat_l' 'hl/thm/realax/TREAL_LE_LADD_IMP_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_odd_1'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lt_ge_cases' 'hl/thm/arith/LET_CASES_'
0. 'coq/Coq_Reals_R_sqrt_sqrt_positivity'#@#variant 'hl/thm/Library/floor/RATIONAL_ABS_'
0. 'coq/Coq_Arith_PeanoNat_Nat_eq_add_0' 'hl/thm/arith/MULT_EQ_1_'#@#variant
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_double_plus_one' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_INV_'
0. 'coq/Coq_QArith_Qreduction_Qred_opp' 'hl/thm/int/INT_SGN_NEG_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftl_opp_r' 'hl/thm/real/REAL_SUB_RNEG_'
0. 'coq/Coq_ZArith_BinInt_Z_le_sub_le_add_r' 'hl/thm/real/REAL_LT_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_lub_iff' 'hl/thm/real/REAL_MAX_LT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_pos' 'hl/thm/real/REAL_SGN_INEQS_3'#@#variant
0. 'coq/Coq_Arith_Lt_lt_n_S' 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_shuffle3' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_AC_2'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_sgn' 'hl/thm/Multivariate/transcendentals/CX_EXP_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_refl' 'hl/thm/realax/TREAL_EQ_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_ge_cases' 'hl/thm/realax/REAL_LE_TOTAL_'
0. 'coq/Coq_ZArith_BinInt_Z_min_glb' 'hl/thm/Library/prime/DIVIDES_ADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_max_r' 'hl/thm/real/REAL_MAX_MAX_/1'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_succ_l' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_LMUL_'
0. 'coq/Coq_QArith_QArith_base_inject_Z_opp' 'hl/thm/Complex/complexnumbers/CX_INV_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_le_mono_pos_l'#@#variant 'hl/thm/Library/analysis/REAL_LE_LMUL_LOCAL_'#@#variant
0. 'coq/Coq_QArith_Qabs_Qabs_wd' 'hl/thm/Multivariate/vectors/SQRT_MONO_LT_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_cancel_l' 'hl/thm/realax/HREAL_LE_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_0_r' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RZERO_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zplus_lt_compat_r' 'hl/thm/realax/HREAL_LE_MUL_RCANCEL_IMP_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_le_mono_r_iff'#@#variant 'hl/thm/Library/analysis/REAL_LE_LMUL_LOCAL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_lt_le_mono' 'hl/thm/arith/LTE_ADD2_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_divide_r' 'hl/thm/real/REAL_MIN_MIN_/1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_inj_wd' 'hl/thm/int/INT_EQ_NEG2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div2_nonneg'#@#variant 'hl/thm/Library/floor/FLOOR_POS_LE_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_div_1_r' 'hl/thm/arith/ADD_0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_le_compat_r' 'hl/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_0_r' 'hl/thm/Library/prime/DIVIDES_ONE_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_le_incl' 'hl/thm/realax/TREAL_EQ_IMP_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_1_l' 'hl/thm/Library/analysis/SUB_OLD_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_even_0' 'hl/thm/Multivariate/complexes/IM_II_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_refl' 'hl/thm/realax/TREAL_EQ_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_lcm_l' 'hl/thm/realax/NADD_LE_ADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pow_lt_mono'#@#variant 'hl/thm/real/REAL_LE_MUL2_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_nle_gt' 'hl/thm/arith/NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lxor_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_le_iff' 'hl/thm/real/REAL_LE_MAX_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_double_size_level' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_INV_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_lt_iff' 'hl/thm/int/INT_LE_MAX_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_lt_succ' 'hl/thm/Library/analysis/LESS_SUC_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_le_compat_l' 'hl/thm/real/REAL_LT_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_nonneg'#@#variant 'hl/thm/Library/floor/RATIONAL_INV_EQ_'
0. 'coq/Coq_Bool_Bool_xorb_nilpotent' 'hl/thm/real/REAL_SUB_REFL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_abs_l' 'hl/thm/Library/integer/INT_DIVIDES_LABS_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_nlt' 'hl/thm/Library/analysis/real_le_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_pred' 'hl/thm/Library/transc/ATN_TAN_'
0. 'coq/Coq_ZArith_BinInt_Z_le_ge_cases' 'hl/thm/int/INT_LE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_le_incl' 'hl/thm/realax/TREAL_EQ_IMP_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_0_l' 'hl/thm/realax/HREAL_ADD_LID_'#@#variant
0. 'coq/Coq_Reals_R_sqrt_sqrt_pow2'#@#variant 'hl/thm/Multivariate/misc/POW_2_SQRT_'#@#variant
0. 'coq/Coq_Reals_R_sqrt_sqrt_lt_R0'#@#variant 'hl/thm/real/REAL_LT_INV_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftr_opp_r' 'hl/thm/Multivariate/complexes/complex_div_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_even_sub' 'hl/thm/int/INT_OF_NUM_SUB_'
0. 'coq/Coq_ZArith_Znat_Z2Nat_id'#@#variant 'hl/thm/int/INT_OF_NUM_OF_INT_'#@#variant
0. 'coq/Coq_QArith_Qminmax_Q_max_lt_iff' 'hl/thm/int/INT_LE_MAX_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_nonneg_l'#@#variant 'hl/thm/real/REAL_LE_LMUL_'#@#variant
0. 'coq/Coq_QArith_Qminmax_Q_max_lub_l' 'hl/thm/Library/prime/DIVIDES_RMUL2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_eq_opp_r' 'hl/thm/int/INT_NEG_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_pos'#@#variant 'hl/thm/Library/floor/FLOOR_POS_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_pos' 'hl/thm/int/INT_SGN_INEQS_3'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lor_comm' 'hl/thm/realax/TREAL_MUL_SYM_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_pos'#@#variant 'hl/thm/int/INT_SGN_INEQS_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_neq' 'hl/thm/real/REAL_LT_IMP_NE_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_le_compat_r' 'hl/thm/arith/EXP_MONO_LE_IMP_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ones_equiv'#@#variant 'hl/thm/calc_num/ARITH_4'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LT_'
0. 'coq/Coq_PArith_BinPos_Pos_mul_cancel_l' 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_ADD_LCANCEL_'
0. 'coq/Coq_NArith_BinNat_N_div_same'#@#variant 'hl/thm/real/REAL_DIV_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_lt_mono_pos_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LT_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_divide_mono_l' 'hl/thm/realax/NADD_MUL_WELLDEF_LEMMA_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_double_spec' 'hl/thm/int/INT_SUB_LZERO_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_lt_mono_r' 'hl/thm/realax/NADD_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_le_incl' 'hl/thm/int/INT_LT_IMP_LE_'
0. 'coq/Coq_ZArith_BinInt_Z_abs_lt' 'hl/thm/real/REAL_BOUNDS_LE_'
0. 'coq/Coq_setoid_ring_RealField_Rdef_pow_add' 'hl/thm/Library/analysis/POW_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_pos' 'hl/thm/real/REAL_SGN_INEQS_3'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_land_0_r' 'hl/thm/arith/MULT_0_'#@#variant
0. 'coq/Coq_Reals_Rfunctions_pow_lt'#@#variant 'hl/thm/Library/floor/INTEGER_POW_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lcm_eq_0' 'hl/thm/real/REAL_DIV_EQ_0_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_max_lt_iff' 'hl/thm/int/INT_LT_MAX_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_lor'#@#variant 'hl/thm/Library/transc/LN_MUL_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_1_l'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lxor_0_l' 'hl/thm/int/INT_MUL_LID_'#@#variant
0. 'coq/Coq_FSets_FSetPositive_PositiveSet_eq_refl' 'hl/thm/Library/poly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_fourier_Fourier_util_Rlt_zero_pos_plus1'#@#variant 'hl/thm/Library/pocklington/PHI_LOWERBOUND_1_STRONG_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zsucc_le_compat' 'hl/thm/Library/transc/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_eq_opp_l' 'hl/thm/int/INT_NEG_EQ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_lt_mono' 'hl/thm/int/INT_LT_NEG2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_rem_0_l' 'hl/thm/arith/DIV_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_add_lt_sub_r' 'hl/thm/real/REAL_LT_SUB_RADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_min_r' 'hl/thm/real/REAL_MIN_MIN_/1'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_le_iff' 'hl/thm/real/REAL_MIN_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sub_add_distr' 'hl/thm/Library/prime/EXP_EXP_'
0. 'coq/Coq_fourier_Fourier_util_Rle_zero_pos_plus1'#@#variant 'hl/thm/Library/transc/SQRT_POS_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_le_mono_pos_l'#@#variant 'hl/thm/Library/analysis/REAL_LE_LMUL_LOCAL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_lub_l' 'hl/thm/Library/prime/DIVIDES_RMUL2_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_nge' 'hl/thm/realax/real_lt_'
0. 'coq/Coq_Arith_Plus_plus_le_compat_r' 'hl/thm/Library/analysis/LESS_MONO_ADD_'
0. 'coq/Coq_ZArith_BinInt_Z_even_0' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_pos'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_POS_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_lt_mono_r'#@#variant 'hl/thm/Library/analysis/REAL_LT_LMUL_IMP_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_max_0_l' 'hl/thm/arith/ADD_CLAUSES_0'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_glb_lt_iff' 'hl/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_le_compat_l' 'hl/thm/realax/NADD_LE_LMUL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_sqrt' 'hl/thm/Multivariate/transcendentals/CX_ATN_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_mod_idemp_l' 'hl/thm/arith/MOD_EXP_MOD_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_shuffle3' 'hl/thm/real/REAL_MIN_ACI_2'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_square_spec' 'hl/thm/real/REAL_MUL_2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_lt_le_mono' 'hl/thm/arith/LTE_ADD2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_succ' 'hl/thm/Library/transc/ATN_/2'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_inj_wd' 'hl/thm/Multivariate/vectors/SQRT_INJ_'
0. 'coq/Coq_Arith_PeanoNat_Nat_max_le_compat_l' 'hl/thm/Library/integer/INT_DIVIDES_MUL_L_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_neq' 'hl/thm/realarith/REAL_LT_LE_'
0. 'coq/Coq_ZArith_BinInt_Z_opp_min_distr' 'hl/thm/Multivariate/transcendentals/REAL_EXP_ADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_max_l' 'hl/thm/realax/NADD_LE_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_le_incl' 'hl/thm/realarith/REAL_LT_IMP_LE_'
0. 'coq/Coq_NArith_BinNat_N_add_le_lt_mono' 'hl/thm/arith/LET_ADD2_'
0. 'coq/Coq_NArith_BinNat_N_log2_up_double'#@#variant 'hl/thm/Library/transc/LN_INV_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_le_ngt' 'hl/thm/realax/real_lt_'
0. 'coq/Coq_Reals_Exp_prop_div2_not_R0'#@#variant 'hl/thm/Library/pratt/PHI_LOWERBOUND_2_'#@#variant
0. 'coq/Coq_Reals_R_sqrt_sqrt_positivity'#@#variant 'hl/thm/Multivariate/transcendentals/REAL_EXP_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftl_opp_r' 'hl/thm/realax/real_div_'
0. 'coq/Coq_ZArith_BinInt_Z_min_le_compat_l' 'hl/thm/realax/NADD_LE_LMUL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_rem' 'hl/thm/arith/MOD_MULT_MOD2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_le_mono_r' 'hl/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_lt_mono_l' 'hl/thm/arith/LE_ADD_LCANCEL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_le_mono' 'hl/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_le_compat_l' 'hl/thm/int/INT_LE_LADD_IMP_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_land_0_r' 'hl/thm/realax/HREAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_pos_l'#@#variant 'hl/thm/real/REAL_LE_LMUL_EQ_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_shuffle3' 'hl/thm/calc_int/REAL_ADD_AC_2'
0. 'coq/Coq_Reals_Rtrigo_def_sin_antisym' 'hl/thm/Multivariate/transcendentals/ATN_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_gt_lt_iff' 'hl/thm/arith/GT_'
0. 'coq/Coq_Reals_Rtrigo1_sin_minus' 'hl/thm/Multivariate/transcendentals/SIN_ADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_odd_1'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_succ_l' 'hl/thm/Multivariate/transcendentals/RPOW_INV_'
0. 'coq/Coq_NArith_BinNat_N_divide_add_cancel_r' 'hl/thm/Library/poly/POLY_DIVIDES_SUB_'#@#variant
0. 'coq/Coq_Reals_Rtrigo_calc_sin_lb_ge_0'#@#variant 'hl/thm/Library/transc/SIN_POS_PI_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_le_pred_l' 'hl/thm/Library/pratt/PHI_LIMIT_'
0. 'coq/Coq_Reals_Rbasic_fun_Rmin_glb' 'hl/thm/Library/integer/INT_DIVIDES_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_pos_cancel_l'#@#variant 'hl/thm/int/INT_LT_MUL_EQ_0'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_pos'#@#variant 'hl/thm/Multivariate/vectors/SQRT_LT_0_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_abs' 'hl/thm/Complex/complex_transc/CX_CEXP_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_lt_mono_r'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LT_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_opp' 'hl/thm/Multivariate/complexes/CNJ_INV_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rplus_lt_le_compat' 'hl/thm/real/REAL_LTE_ADD2_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_le_mono_l' 'hl/thm/arith/LT_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lcm_0_r' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RZERO_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_eq_mul_0' 'hl/thm/Complex/complexnumbers/COMPLEX_ENTIRE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_le_mono' 'hl/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_refl' 'hl/thm/realax/REAL_LE_REFL_'
0. 'coq/Coq_QArith_Qreduction_Qred_comp' 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_double_plus_one' 'hl/thm/Complex/complex_transc/CX_CCOS_'
0. 'coq/Coq_Reals_Rbasic_fun_Rle_min_compat_l' 'hl/thm/realax/REAL_LE_LADD_IMP_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_pos'#@#variant 'hl/thm/real/REAL_SGN_INEQS_1'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zmult_lt_compat_r'#@#variant 'hl/thm/int/INT_LE_RMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_pred_r' 'hl/thm/arith/ADD_SUC_'
0. 'coq/Coq_NArith_BinNat_N_divide_0_r' 'hl/thm/Library/prime/DIVIDES_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_lt_iff' 'hl/thm/int/INT_MIN_LT_'
0. 'coq/Coq_Arith_PeanoNat_Nat_even_sub' 'hl/thm/int/INT_OF_NUM_SUB_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_lt_iff' 'hl/thm/real/REAL_LE_MAX_'
0. 'coq/Coq_Arith_PeanoNat_Nat_max_le_compat_l' 'hl/thm/realax/NADD_LE_LMUL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_lt_succ' 'hl/thm/Library/analysis/LESS_SUC_'
0. 'coq/Coq_PArith_BinPos_Pos_sub_add' 'hl/thm/arith/SUB_ADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_lt_mono_pos_r'#@#variant 'hl/thm/int/INT_LT_RMUL_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_nonneg'#@#variant 'hl/thm/real/REAL_SGN_INEQS_1'#@#variant
0. 'coq/Coq_Reals_Rtrigo_calc_sin_3PI2'#@#variant 'hl/thm/Multivariate/transcendentals/TAN_PI4_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_refl' 'hl/thm/realax/HREAL_LE_REFL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_succ_r_prime' 'hl/thm/arith/EXP_1'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_glb_lt_iff' 'hl/thm/int/INT_LT_MIN_'
0. 'coq/Coq_PArith_Pnat_Nat2Pos_inj_pred' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_INV_'
0. 'coq/Coq_QArith_Qminmax_Q_max_le_compat_l' 'hl/thm/realax/NADD_LE_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_le_mono_l' 'hl/thm/real/REAL_LT_LADD_'
0. 'coq/Coq_NArith_BinNat_N_neq_succ_0' 'hl/thm/nums/NOT_SUC_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pow_lt_mono_r'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_Zpos' 'hl/thm/int/INT_OF_NUM_GT_'
0. 'coq/Coq_FSets_FSetPositive_PositiveSet_eq_refl' 'hl/thm/realax/REAL_LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mod_0_l' 'hl/thm/arith/DIV_0_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qplus_lt_r' 'hl/thm/realax/NADD_LE_LADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pow_le_mono_r_iff'#@#variant 'hl/thm/Library/analysis/REAL_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_ldiff_diag' 'hl/thm/arith/SUB_REFL_'#@#variant
0. 'coq/Coq_NArith_Ndist_ni_le_refl' 'hl/thm/int/INT_LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_cancel_l' 'hl/thm/int/INT_EQ_ADD_LCANCEL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_le_incl' 'hl/thm/int/INT_LT_IMP_LE_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_neg_iff' 'hl/thm/int/INT_OF_NUM_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lcm_1_l'#@#variant 'hl/thm/realarith/REAL_POLY_NEG_CLAUSES_0'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_divide_opp_l' 'hl/thm/Library/integer/INT_DIVIDES_LNEG_'
0. 'coq/Coq_ZArith_BinInt_Z_add_move_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_RNEG_UNIQ_'#@#variant
0. 'coq/Coq_Init_Peano_le_n_S' 'hl/thm/Multivariate/vectors/SQRT_MONO_LT_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_min_r' 'hl/thm/real/REAL_MIN_MIN_/1'
0. 'coq/Coq_Reals_Rminmax_R_min_l' 'hl/thm/arith/MOD_LT_'
0. 'coq/Coq_ZArith_Zeven_Zeven_Sn' 'hl/thm/Library/pocklington/EVEN_PHI_'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_iff' 'hl/thm/Multivariate/vectors/LIFT_EQ_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_le_compat_l' 'hl/thm/Library/prime/DIVIDES_MUL_L_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_sub_r' 'hl/thm/Library/integer/INT_DIVIDES_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_div2_double'#@#variant 'hl/thm/Library/transc/ATN_TAN_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_invc' 'hl/thm/Complex/complex_transc/CX_CEXP_'
0. 'coq/Coq_Arith_PeanoNat_Nat_neq_succ_0' 'hl/thm/Complex/complex_transc/CEXP_NONZERO_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_le_ge_cases' 'hl/thm/realax/NADD_LE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_le_mono' 'hl/thm/Library/transc/ATN_MONO_LT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_inj_wd' 'hl/thm/Library/prime/CANCEL_TIMES2_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_lt_lin'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_LE_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_sub_le_add_r' 'hl/thm/Library/analysis/SUB_LEFT_GREATER_EQ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_le_compat_l' 'hl/thm/real/REAL_LT_LADD_IMP_'
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_lt_lin' 'hl/thm/Library/transc/LN_LT_X_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_pos'#@#variant 'hl/thm/Multivariate/transcendentals/REAL_EXP_LT_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_le_mono' 'hl/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_land_diag' 'hl/thm/int/INT_MAX_ACI_3'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div2_neg' 'hl/thm/real/REAL_SGN_INEQS_5'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_le_lin'#@#variant 'hl/thm/Library/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_pred_l' 'hl/thm/int/INT_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_irrefl' 'hl/thm/int/INT_LT_REFL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_cancel_r' 'hl/thm/calc_int/REAL_EQ_ADD_RCANCEL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_cancel_l' 'hl/thm/realax/HREAL_EQ_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_divide_l' 'hl/thm/real/REAL_MIN_MIN_/0'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_glb' 'hl/thm/Library/prime/DIVIDES_ADD_'
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_pos'#@#variant 'hl/thm/Library/transc/REAL_EXP_LT_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_ge_le_iff' 'hl/thm/int/INT_GE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_2' 'hl/thm/Library/transc/SQRT_0_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_diag'#@#variant 'hl/thm/arith/MULT_2_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_add_comm' 'hl/thm/realax/TREAL_ADD_SYM_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_inj_wd' 'hl/thm/Library/prime/CANCEL_TIMES2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_r' 'hl/thm/Library/prime/DIVIDES_MUL_R_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_pow2'#@#variant 'hl/thm/Library/transc/EXP_LN_'#@#variant
0. 'coq/Coq_ZArith_Zsqrt_compat_Zsqrt_plain_is_pos'#@#variant 'hl/thm/Multivariate/transcendentals/REAL_SIN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_le_compat_r' 'hl/thm/Library/integer/INT_DIVIDES_MUL_R_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_divide_cancel_r' 'hl/thm/Library/integer/INT_DIVIDES_RMUL2_EQ_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_1_l'#@#variant 'hl/thm/arith/ADD_CLAUSES_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div2_neg' 'hl/thm/real/REAL_SGN_INEQS_5'#@#variant
0. 'coq/Coq_QArith_Qpower_Qpower_pos'#@#variant 'hl/thm/Library/floor/RATIONAL_POW_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_eq_iff'#@#variant 'hl/thm/int/INT_ABS_REFL_'#@#variant
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_lt_antirefl' 'hl/thm/int/INT_LT_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div_mod' 'hl/thm/arith/DIVISION_SIMP_1'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_pos'#@#variant 'hl/thm/Multivariate/vectors/SQRT_LE_0_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_succ' 'hl/thm/Complex/complex_transc/CX_CCOS_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_glb_lt' 'hl/thm/Complex/cpoly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_nle_gt' 'hl/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_land_0_r' 'hl/thm/Library/pocklington/ORDER_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_total' 'hl/thm/real/REAL_LT_TOTAL_'
0. 'coq/Coq_ZArith_BinInt_Z_lcm_eq_0' 'hl/thm/real/REAL_DIV_EQ_0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_null_iff' 'hl/thm/int/INT_SGN_INEQS_4'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rle_max_compat_r' 'hl/thm/realax/NADD_LE_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_le_iff' 'hl/thm/int/INT_MIN_LT_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_le_trans' 'hl/thm/int/INT_LTE_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lxor_eq_0_iff' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_0_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_le_lt_mono' 'hl/thm/arith/LET_ADD2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_even_2'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_neg_xO'#@#variant 'hl/thm/Multivariate/transcendentals/CX_TAN_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_land_0_r' 'hl/thm/realax/HREAL_MUL_RZERO_'#@#variant
0. 'coq/__constr_Coq_Arith_Even_even_0_2' 'hl/thm/Library/pocklington/PHI_LOWERBOUND_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div2_neg' 'hl/thm/real/REAL_SGN_INEQS_8'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_divide_mul_r' 'hl/thm/Library/prime/DIVIDES_LMUL_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_opp_l' 'hl/thm/Multivariate/transcendentals/REAL_INV_RPOW_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_log2_log2_up' 'hl/thm/Multivariate/transcendentals/REAL_EXP_LE_X_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_le_max_l' 'hl/thm/arith/LE_ADD_'
0. 'coq/Coq_Arith_Plus_plus_le_compat_l' 'hl/thm/realax/NADD_MUL_WELLDEF_LEMMA_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_le_mono_pos_l'#@#variant 'hl/thm/Library/analysis/REAL_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_nlt_ge' 'hl/thm/int/INT_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_null'#@#variant 'hl/thm/int/INT_SGN_EQ_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_pos'#@#variant 'hl/thm/calc_num/ARITH_40'
0. 'coq/Coq_NArith_BinNat_N_land_0_r' 'hl/thm/Library/pocklington/ORDER_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_even_sub' 'hl/thm/real/REAL_OF_NUM_SUB_'
0. 'coq/Coq_ZArith_Zpow_facts_Zpower_pos_pos'#@#variant 'hl/thm/Library/floor/RATIONAL_POW_'
0. 'coq/Coq_Bool_Bool_xorb_negb_negb' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_MUL2_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_ldiff_ldiff_l' 'hl/thm/Library/prime/EXP_EXP_'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_IsTO_le_lteq' 'hl/thm/int/INT_LE_LT_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_pred_r' 'hl/thm/Multivariate/transcendentals/RPOW_NEG_'
0. 'coq/Coq_PArith_Pnat_SuccNat2Pos_inj_iff' 'hl/thm/Multivariate/vectors/LIFT_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_succ_l' 'hl/thm/Multivariate/transcendentals/REAL_INV_RPOW_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_inj_wd' 'hl/thm/Library/prime/CANCEL_TIMES2_'#@#variant
0. 'coq/Coq_QArith_Qreals_Q2R_opp' 'hl/thm/int/int_abs_th_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_quot_0_l' 'hl/thm/arith/MOD_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_lub_iff' 'hl/thm/real/REAL_MAX_LT_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_succ' 'hl/thm/Multivariate/transcendentals/CX_TAN_'#@#variant
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_incr_twice_plus_one' 'hl/thm/Library/transc/REAL_EXP_NEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_glb' 'hl/thm/Library/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_eq_cases' 'hl/thm/arith/LE_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_le_compat_r' 'hl/thm/Library/prime/DIVIDES_EXP_'
0. 'coq/Coq_NArith_BinNat_N_lxor_0_l' 'hl/thm/int/INT_ADD_LID_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zle_0_pos'#@#variant 'hl/thm/real/REAL_LT_POW2_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_tan_gt_0'#@#variant 'hl/thm/Library/transc/SIN_POS_PI2_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_cos_PI' 'hl/thm/Library/transc/ATN_1_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_lt_le_trans' 'hl/thm/int/INT_LTE_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lor_diag' 'hl/thm/int/INT_MIN_ACI_3'
0. 'coq/Coq_NArith_BinNat_N_gcd_divide_r' 'hl/thm/Library/prime/INDEX_TRIVIAL_BOUND_'
0. 'coq/Coq_ZArith_BinInt_Z_even_2'#@#variant 'hl/thm/Multivariate/complexes/IM_II_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_0_r'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_0_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_le_refl' 'hl/thm/realax/TREAL_EQ_REFL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_mul_l' 'hl/thm/Library/prime/DIVIDES_RMUL_'
0. 'coq/Coq_NArith_BinNat_N_odd_2'#@#variant 'hl/thm/nums/ZERO_DEF_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_opp_norm' 'hl/thm/Multivariate/transcendentals/REAL_COS_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qmult_lt_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LE_EQ_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_div2' 'hl/thm/Complex/complex_transc/CX_CEXP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_lt_mono'#@#variant 'hl/thm/Library/analysis/REAL_LT_MUL2_ALT_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_sub_r' 'hl/thm/Library/prime/DIVIDES_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_gt_lt_iff' 'hl/thm/int/INT_GT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_inj_wd' 'hl/thm/int/INT_EQ_NEG2_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_2' 'hl/thm/int/INT_NEG_0_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pred_sub'#@#variant 'hl/thm/arith/ADD1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_add_cancel_r' 'hl/thm/Library/integer/INT_DIVIDES_ADD_REVR_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_opp' 'hl/thm/real/REAL_SGN_NEG_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_add_le_sub_r' 'hl/thm/Library/analysis/SUB_LEFT_GREATER_EQ_'
0. 'coq/Coq_NArith_BinNat_N_log2_lor' 'hl/thm/Library/transc/REAL_EXP_SUB_'
0. 'coq/Coq_Arith_PeanoNat_Nat_land_0_r' 'hl/thm/Library/prime/INDEX_0_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_land_diag' 'hl/thm/int/INT_MIN_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_nge' 'hl/thm/arith/NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftl_succ_r' 'hl/thm/Multivariate/transcendentals/RPOW_NEG_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lor_0_l' 'hl/thm/arith/ADD_CLAUSES_0'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_mod_idemp_r' 'hl/thm/arith/MOD_MULT_RMOD_'#@#variant
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_double_plus_one' 'hl/thm/Complex/complex_transc/CX_CSIN_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_ldiff_diag' 'hl/thm/real/REAL_SUB_REFL_'#@#variant
0. 'coq/Coq_QArith_Qreals_Q2R_opp' 'hl/thm/Multivariate/transcendentals/CX_SIN_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sub_diag' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_REFL_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_1_l'#@#variant 'hl/thm/int/INT_ADD_LID_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sub_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_pos' 'hl/thm/int/INT_SGN_INEQS_3'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_le_mono_r' 'hl/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_lxor_l' 'hl/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pos_pred_succ' 'hl/thm/Multivariate/complexes/RE_CX_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_le_mono_l' 'hl/thm/arith/LE_ADD_LCANCEL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_0' 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_lt_mono_l' 'hl/thm/realax/HREAL_LE_ADD_LCANCEL_'
0. 'coq/Coq_Reals_Raxioms_Rplus_lt_compat_l' 'hl/thm/Library/prime/DIVIDES_MUL_L_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_le_incl' 'hl/thm/realax/NADD_EQ_IMP_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_opp' 'hl/thm/int/INT_SGN_NEG_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_divide_mono_r' 'hl/thm/Library/integer/INT_DIVIDES_MUL_R_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_r' 'hl/thm/Library/analysis/LESS_MONO_ADD_'
0. 'coq/Coq_Arith_Le_le_n_S' 'hl/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pred_le_mono' 'hl/thm/Library/transc/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_refl' 'hl/thm/arith/LE_REFL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_nonneg' 'hl/thm/Multivariate/transcendentals/ATN_BOUNDS_/0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_0_r' 'hl/thm/Library/prime/INDEX_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_lt_add_l' 'hl/thm/Library/integer/INT_DIVIDES_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_refl' 'hl/thm/Complex/cpoly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_0_l' 'hl/thm/realax/HREAL_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_le_compat_r' 'hl/thm/Library/prime/DIVIDES_MUL_R_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_1_l'#@#variant 'hl/thm/realax/REAL_MUL_LID_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_odd_2'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_rem' 'hl/thm/arith/MOD_MULT_MOD2_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_nlt_ge' 'hl/thm/arith/NOT_LE_'
0. 'coq/Coq_ZArith_BinInt_Z_lnot_ldiff' 'hl/thm/int/INT_SUB_LNEG_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_succ'#@#variant 'hl/thm/real/REAL_OF_NUM_SUC_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_lt_mono_l' 'hl/thm/realax/HREAL_LE_ADD_LCANCEL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_lt_mono_l' 'hl/thm/real/REAL_LE_LADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_le_compat_r' 'hl/thm/Library/prime/DIVIDES_EXP_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_lt_lin' 'hl/thm/Library/transc/LN_LT_X_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_lt' 'hl/thm/real/REAL_BOUNDS_LE_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_red' 'hl/thm/Complex/complexnumbers/CX_INV_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_le_incl' 'hl/thm/int/INT_LT_IMP_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_lt_lin'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_LE_X_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_lt_mono_pos_r'#@#variant 'hl/thm/real/REAL_LT_RMUL_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_le_mono' 'hl/thm/realax/NADD_INV_WELLDEF_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_nonneg' 'hl/thm/calc_num/ARITH_80'
0. 'coq/Coq_ZArith_BinInt_Z_abs_eq_iff'#@#variant 'hl/thm/Multivariate/complexes/REAL_CNJ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_eq_mul_0' 'hl/thm/int/INT_ENTIRE_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_pos'#@#variant 'hl/thm/Library/pocklington/PHI_LOWERBOUND_2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_inj_wd' 'hl/thm/calc_num/ARITH_54'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_cancel_l' 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_lt_mono_r' 'hl/thm/int/INT_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_succ_l' 'hl/thm/Multivariate/transcendentals/REAL_ABS_RPOW_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_lt_lin'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_LE_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sub_min_distr_l' 'hl/thm/arith/EXP_ADD_'
0. 'coq/Coq_NArith_BinNat_N_nle_gt' 'hl/thm/arith/NOT_LT_'
0. 'coq/Coq_ZArith_BinInt_Z_divide_lcm_r' 'hl/thm/real/REAL_MAX_MAX_/1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_1_mul_pos'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_LT_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_odd_0' 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_xO_r' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lor_0_l' 'hl/thm/arith/ADD_CLAUSES_0'#@#variant
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_div2' 'hl/thm/int/int_neg_th_'
0. 'coq/Coq_Reals_Ratan_ps_atan_opp' 'hl/thm/real/REAL_ABS_SGN_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_l2i_i2l'#@#variant 'hl/thm/int/int_abstr_'
0. 'coq/Coq_PArith_BinPos_Pos_add_1_l' 'hl/thm/realarith/REAL_POLY_NEG_CLAUSES_0'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z2Pos_inj_sqrt' 'hl/thm/Multivariate/complexes/IM_CNJ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lor_m1_r'#@#variant 'hl/thm/Library/pocklington/ORDER_1_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_nle_gt' 'hl/thm/int/INT_NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_nle_gt' 'hl/thm/Library/analysis/real_le_'
0. 'coq/Coq_Reals_Rtrigo_calc_sin_lb_ge_0'#@#variant 'hl/thm/Library/transc/SIN_POS_'#@#variant
0. 'coq/Coq_Reals_Ratan_pos_opp_lt'#@#variant 'hl/thm/Library/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_square_spec' 'hl/thm/real/REAL_MUL_2_'#@#variant
0. 'coq/Coq_QArith_Qminmax_Q_max_le_compat_r' 'hl/thm/realax/HREAL_LE_MUL_RCANCEL_IMP_'
0. 'coq/Coq_ZArith_BinInt_Z_lcm_divide_iff' 'hl/thm/int/INT_MAX_LT_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_cancel_l' 'hl/thm/arith/EQ_ADD_LCANCEL_'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Topp_opp_stable' 'hl/thm/Library/multiplicative/MULTIPLICATIVE_TAU_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_sqrt' 'hl/thm/Complex/complexnumbers/CX_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_odd_1'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_le_mono_l' 'hl/thm/realax/HREAL_LE_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_irrefl' 'hl/thm/int/INT_LT_REFL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_pred_l' 'hl/thm/Library/floor/FLOOR_/1'
0. 'coq/Coq_ZArith_BinInt_Z_mul_pos_cancel_r'#@#variant 'hl/thm/Library/floor/INTEGER_SUB_EQ_1'
0. 'coq/Coq_FSets_FSetPositive_PositiveSet_eq_refl' 'hl/thm/Library/integer/INT_DIVIDES_REFL_'
0. 'coq/Coq_ZArith_Zgcd_alt_Zgcd_bound_opp' 'hl/thm/Multivariate/complexes/RE_CNJ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_move_r' 'hl/thm/real/REAL_EQ_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_add_lt_sub_r' 'hl/thm/int/INT_LE_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sub_add_distr' 'hl/thm/Library/prime/EXP_EXP_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_reg_l' 'hl/thm/realax/HREAL_ADD_LCANCEL_'
0. 'coq/Coq_Arith_Factorial_fact_neq_0' 'hl/thm/Multivariate/transcendentals/REAL_EXP_NZ_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_ge_le_iff' 'hl/thm/int/INT_GT_'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_iff' 'hl/thm/int/int_eq_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gt_lt_iff' 'hl/thm/int/INT_GT_'
0. 'coq/Coq_ZArith_Zeven_Zeven_pred' 'hl/thm/Library/transc/LN_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_pow2'#@#variant 'hl/thm/Multivariate/transcendentals/EXP_LOG_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Zpos_eq_iff' 'hl/thm/Complex/complexnumbers/CX_INJ_'
0. 'coq/Coq_Reals_Rtopology_open_set_P3' 'hl/thm/Multivariate/realanalysis/REAL_COMPACT_UNION_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_Zpos' 'hl/thm/real/REAL_OF_NUM_LT_'
0. 'coq/Coq_ZArith_BinInt_Z_opp_involutive' 'hl/thm/real/REAL_INV_INV_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_sub_r' 'hl/thm/Library/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Reals_Rtopology_open_set_P2' 'hl/thm/Multivariate/realanalysis/REAL_COMPACT_UNION_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_cancel_r' 'hl/thm/calc_int/REAL_EQ_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_inj_wd' 'hl/thm/calc_num/ARITH_57'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_pos_cancel_r'#@#variant 'hl/thm/real/REAL_LT_MUL_EQ_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_involutive' 'hl/thm/Complex/complexnumbers/CNJ_CNJ_'
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_pow2'#@#variant 'hl/thm/Library/transc/EXP_LN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_le_compat_r' 'hl/thm/Library/analysis/LESS_MONO_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gt_lt_iff' 'hl/thm/realax/real_ge_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_rem' 'hl/thm/arith/MOD_ADD_MOD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_le' 'hl/thm/real/REAL_BOUNDS_LE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_inj_wd' 'hl/thm/Multivariate/complexes/CNJ_INJ_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_succ_l' 'hl/thm/Multivariate/transcendentals/RPOW_INV_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lor_0_l' 'hl/thm/realax/REAL_MUL_LID_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_le_compat_r' 'hl/thm/Library/prime/LESS_MONO_ADD_'
0. 'coq/Coq_NArith_BinNat_N_gcd_divide_l' 'hl/thm/Library/analysis/SUB_LESS_EQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_pos_nonneg'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_LE_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_neq' 'hl/thm/arith/LT_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_min_distr' 'hl/thm/Multivariate/transcendentals/REAL_EXP_SUB_'
0. 'coq/Coq_fourier_Fourier_util_Rle_zero_pos_plus1'#@#variant 'hl/thm/Library/floor/RATIONAL_ABS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lor_0_l' 'hl/thm/realax/REAL_MUL_LID_'#@#variant
0. 'coq/Coq_QArith_Qreduction_Qred_opp' 'hl/thm/calc_num/ARITH_2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_nonneg'#@#variant 'hl/thm/int/INT_NEG_GE0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_factor_r' 'hl/thm/real/REAL_MAX_MAX_/1'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_shuffle3' 'hl/thm/int/INT_MIN_ACI_2'
0. 'coq/Coq_NArith_BinNat_N_eq_mul_1'#@#variant 'hl/thm/arith/MULT_EQ_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_le_compat_r' 'hl/thm/Library/analysis/LESS_MONO_ADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_lt_add_l' 'hl/thm/Library/prime/DIVIDES_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_pos'#@#variant 'hl/thm/calc_num/ARITH_44'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_opp_r' 'hl/thm/Library/integer/INT_DIVIDES_RNEG_'
0. 'coq/Coq_ZArith_BinInt_Z_le_ge_cases' 'hl/thm/realax/HREAL_LE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pred_div2_up' 'hl/thm/Complex/complex_transc/CX_CEXP_'
0. 'coq/Coq_NArith_BinNat_N_pow_le_mono_l' 'hl/thm/Library/prime/LESS_MONO_ADD_'
0. 'coq/Coq_Bool_Bool_andb_false_r' 'hl/thm/Library/pocklington/ORDER_1_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mod_divide' 'hl/thm/Library/prime/DIVIDES_MOD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_lt_mono_r'#@#variant 'hl/thm/real/REAL_LT_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_pos_cancel_r'#@#variant 'hl/thm/Library/floor/INTEGER_SUB_EQ_1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_Zpos' 'hl/thm/int/INT_OF_NUM_GT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_add_lt_sub_r' 'hl/thm/real/REAL_LE_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_odd_1'#@#variant 'hl/thm/Multivariate/complexes/IM_II_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_lt_le_mono' 'hl/thm/arith/LTE_ADD2_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_cancel_r' 'hl/thm/int/INT_EQ_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_Zpos' 'hl/thm/real/REAL_OF_NUM_LT_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lcm_1_l'#@#variant 'hl/thm/arith/ADD_CLAUSES_0'#@#variant
0. 'coq/Coq_ZArith_BinInt_Zplus_minus' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_ADD2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_rem_idemp_l' 'hl/thm/arith/MOD_MULT_LMOD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_le_mono' 'hl/thm/arith/FACT_MONO_'
0. 'coq/Coq_Arith_Mult_mult_le_compat_r' 'hl/thm/Library/prime/LESS_MONO_ADD_'
0. 'coq/Coq_Sets_Integers_Integers_infinite' 'hl/thm/Multivariate/topology/TRIVIAL_LIMIT_AT_POSINFINITY_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_ngt' 'hl/thm/Library/analysis/real_le_'
0. 'coq/Coq_ZArith_BinInt_Z_divide_lcm_l' 'hl/thm/realax/NADD_LE_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_Zpos' 'hl/thm/real/REAL_OF_NUM_GE_'
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_nonneg'#@#variant 'hl/thm/Library/analysis/REAL_LE_MUL2V_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sub_diag' 'hl/thm/real/REAL_SUB_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mod_1_r'#@#variant 'hl/thm/Library/prime/INDEX_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_nge' 'hl/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_Reals_Rtrigo1_SIN_bound/1' 'hl/thm/Library/transc/SIN_BOUNDS_/1'#@#variant
0. 'coq/Coq_Reals_Rtrigo_calc_deg_rad' 'hl/thm/arith/PRE_1'
0. 'coq/Coq_Arith_PeanoNat_Nat_odd_0' 'hl/thm/nums/ZERO_DEF_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_pos_neg'#@#variant 'hl/thm/real/REAL_NEG_GT0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_mod' 'hl/thm/arith/MOD_MULT_MOD2_'#@#variant
0. 'coq/Coq_Reals_Rtrigo_calc_rad_deg' 'hl/thm/Multivariate/transcendentals/CSIN_CASN_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_opp_opp' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_MUL2_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_refl' 'hl/thm/Library/prime/DIVIDES_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lnot_0_l' 'hl/thm/int/INT_NEG_MINUS1_'#@#variant
0. 'coq/Coq_Bool_Bool_negb_involutive_reverse' 'hl/thm/real/REAL_INV_INV_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_double' 'hl/thm/Multivariate/complexes/IM_CNJ_'#@#variant
0. 'coq/Coq_PArith_Pnat_SuccNat2Pos_inj_succ' 'hl/thm/Multivariate/transcendentals/CX_ATN_'#@#variant
0. 'coq/Coq_NArith_Ndist_ni_le_refl' 'hl/thm/arith/LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_land_diag' 'hl/thm/real/REAL_MAX_ACI_3'
0. 'coq/Coq_NArith_BinNat_N_lcm_0_r' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_divide_l' 'hl/thm/real/REAL_MIN_MIN_/0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_lcm_r' 'hl/thm/arith/LE_ADDR_'
0. 'coq/Coq_PArith_Pnat_Nat2Pos_inj_pred' 'hl/thm/Multivariate/complexes/IM_CNJ_'#@#variant
0. 'coq/Coq_FSets_FSetPositive_PositiveSet_eq_refl' 'hl/thm/Complex/cpoly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_lt_le_mono' 'hl/thm/arith/LTE_ADD2_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_succ' 'hl/thm/Multivariate/transcendentals/CX_COS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_add_lt_sub_r' 'hl/thm/real/REAL_LT_ADD_SUB_'
0. 'coq/Coq_ZArith_BinInt_Zminus_succ_l' 'hl/thm/Multivariate/transcendentals/RPOW_INV_'
0. 'coq/Coq_ZArith_BinInt_Z_add_1_l'#@#variant 'hl/thm/Library/analysis/REAL_INV_1OVER_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_0_r'#@#variant 'hl/thm/Library/prime/INDEX_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_setbit_spec_prime'#@#variant 'hl/thm/Complex/complexnumbers/complex_sub_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_le_mono' 'hl/thm/Multivariate/transcendentals/ATN_MONO_LT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div_mod' 'hl/thm/arith/DIVISION_SIMP_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_pos'#@#variant 'hl/thm/Multivariate/complexes/REAL_INV_EQ_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_quot2' 'hl/thm/int/int_sgn_th_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_le_mono_r'#@#variant 'hl/thm/real/REAL_LE_LMUL_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_succ_r' 'hl/thm/arith/ADD_SUC_'
0. 'coq/Coq_NArith_BinNat_N_square_spec' 'hl/thm/arith/MULT_2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_le_incl' 'hl/thm/realax/NADD_EQ_IMP_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_lt_le_mono' 'hl/thm/real/REAL_LTE_ADD2_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_le_compat_r' 'hl/thm/arith/EXP_MONO_LE_IMP_'
0. 'coq/Coq_ZArith_BinInt_Z_sgn_opp' 'hl/thm/calc_num/ARITH_6'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_abs_l' 'hl/thm/Library/integer/INT_DIVIDES_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lcm_0_r' 'hl/thm/arith/MULT_0_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_ldiff_m1_l'#@#variant 'hl/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_ZArith_Zquot_Zquot_opp_r' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_0_l' 'hl/thm/int/INT_MUL_LID_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sub_simpl_r' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_neq_0_succ' 'hl/thm/Multivariate/transcendentals/REAL_EXP_NZ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_1_mul_pos'#@#variant 'hl/thm/realarith/REAL_LTE_ADD_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_div_le_mono'#@#variant 'hl/thm/real/REAL_LT_RMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_pos'#@#variant 'hl/thm/real/REAL_LT_INV_EQ_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_add_diag_r' 'hl/thm/int/INT_MAX_MAX_/0'
0. 'coq/Coq_NArith_BinNat_N_sqrt_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LT_'
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_pos'#@#variant 'hl/thm/Library/transc/LN_POS_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_sub_l' 'hl/thm/real/REAL_MIN_MIN_/0'
0. 'coq/Coq_ZArith_Znat_Z_nat_N' 'hl/thm/int/int_of_num_'
0. 'coq/Coq_NArith_BinNat_N_min_glb_lt' 'hl/thm/Library/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Arith_Gt_plus_gt_compat_l' 'hl/thm/realax/NADD_LE_LMUL_'
0. 'coq/Coq_ZArith_BinInt_Z_le_lteq' 'hl/thm/int/INT_LE_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_divide_mono_l' 'hl/thm/realax/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_nge' 'hl/thm/int/INT_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_le_pred' 'hl/thm/Library/analysis/LESS_EQ_IMP_LESS_SUC_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_pos'#@#variant 'hl/thm/Library/transc/ATN_POS_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_succ_diag_r' 'hl/thm/Library/analysis/LESS_EQ_SUC_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_pos'#@#variant 'hl/thm/Library/floor/INTEGER_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_le_trans' 'hl/thm/int/INT_LTE_TRANS_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_sqrt_sqrt_up' 'hl/thm/Multivariate/transcendentals/REAL_EXP_LE_X_'#@#variant
0. 'coq/Coq_ZArith_Zlogarithm_log_near_correct1'#@#variant 'hl/thm/real/REAL_LT_POW2_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lcm_0_r' 'hl/thm/int/INT_MUL_RZERO_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_log2_shiftr' 'hl/thm/real/REAL_SUB_LNEG_'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_nonneg' 'hl/thm/Multivariate/transcendentals/ATN_BOUNDS_/0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_cancel_r' 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_ADD_RCANCEL_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_divide_mono_r' 'hl/thm/arith/EXP_MONO_LE_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_pred' 'hl/thm/Library/transc/LN_EXP_'
0. 'coq/Coq_PArith_BinPos_Pos_lt_nle' 'hl/thm/int/INT_LT_'
0. 'coq/Coq_Arith_PeanoNat_Nat_min_le_compat_l' 'hl/thm/realax/TREAL_LE_LADD_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_odd_2'#@#variant 'hl/thm/Multivariate/complexes/IM_II_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_clearbit_spec_prime'#@#variant 'hl/thm/Complex/complexnumbers/complex_div_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_mul_r' 'hl/thm/Library/prime/DIVIDES_LMUL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_lt_mono_pos_r'#@#variant 'hl/thm/int/INT_LT_RMUL_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_size_nat_monotone' 'hl/thm/Library/calc_real/REAL_MONO_POW2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_neq_succ_0' 'hl/thm/Complex/complex_transc/CEXP_NONZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_nonneg_cancel_l'#@#variant 'hl/thm/real/REAL_LE_MUL_EQ_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_pred_l' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_LMUL_'
0. 'coq/Coq_Reals_Ratan_Datan_seq_pos' 'hl/thm/int/INT_POW_LE_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_cancel_l' 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_lt_iff' 'hl/thm/int/INT_LE_MAX_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_lt_lin'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_le_mono_l' 'hl/thm/realax/NADD_LE_RMUL_'
0. 'coq/Coq_ZArith_Znat_N2Z_is_nonneg'#@#variant 'hl/thm/Library/floor/INTEGER_CLOSED_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_ge_cases' 'hl/thm/realax/REAL_LE_TOTAL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_le_compat_l' 'hl/thm/int/INT_LE_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_le_iff' 'hl/thm/real/REAL_MIN_LT_'
0. 'coq/Coq_Reals_Rminmax_R_le_max_r' 'hl/thm/arith/LE_ADDR_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_pos_cancel_r'#@#variant 'hl/thm/Library/analysis/REAL_LT_RDIV_0_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_gcd_divide_r' 'hl/thm/real/REAL_MIN_MIN_/1'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_eq_mul_0' 'hl/thm/Complex/complexnumbers/COMPLEX_ENTIRE_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_sub_diag' 'hl/thm/int/INT_SUB_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_double'#@#variant 'hl/thm/Library/transc/LN_INV_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_max_le_compat_l' 'hl/thm/realax/NADD_LE_LMUL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_shuffle3' 'hl/thm/int/INT_ADD_AC_2'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_div2' 'hl/thm/int/int_abs_th_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_factor_r' 'hl/thm/arith/LE_ADDR_'
0. 'coq/Coq_Reals_RIneq_Ropp_mult_distr_r' 'hl/thm/real/REAL_NEG_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_nonneg'#@#variant 'hl/thm/Library/transc/ATN_POS_LT_'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tred_factor2_stable' 'hl/thm/Library/multiplicative/MULTIPLICATIVE_TAU_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_oppc' 'hl/thm/Complex/complex_transc/CX_CSIN_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_le_compat_l' 'hl/thm/Library/integer/INT_DIVIDES_MUL_L_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_square_nonneg'#@#variant 'hl/thm/int/INT_LE_SQUARE_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_0_l' 'hl/thm/realax/REAL_ADD_LID_'#@#variant
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_double' 'hl/thm/Multivariate/transcendentals/CX_EXP_'#@#variant
0. 'coq/Coq_ZArith_Zquot_Zrem_opp_l' 'hl/thm/calc_int/REAL_MUL_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_total' 'hl/thm/Library/analysis/LESS_CASES_IMP_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_diag' 'hl/thm/int/INT_MIN_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_l' 'hl/thm/arith/MOD_LT_'
0. 'coq/Coq_Reals_RIneq_Rlt_not_le' 'hl/thm/real/REAL_LET_ANTISYM_'
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_lcm_l' 'hl/thm/int/INT_MAX_MAX_/0'
0. 'coq/Coq_NArith_BinNat_N_min_le_compat_l' 'hl/thm/realax/NADD_MUL_WELLDEF_LEMMA_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_pos_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LT_EQ_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_shuffle3' 'hl/thm/int/INT_MAX_ACI_2'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_nonneg_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lor_diag' 'hl/thm/real/REAL_MIN_ACI_3'
0. 'coq/Coq_ZArith_BinInt_Z_min_glb_iff' 'hl/thm/int/INT_LE_MIN_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pred_le_mono' 'hl/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_le_ngt' 'hl/thm/int/INT_LT_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_refl' 'hl/thm/Library/prime/DIVIDES_REFL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_even_spec' 'hl/thm/Multivariate/complexes/real_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_max_r' 'hl/thm/real/REAL_MAX_MAX_/1'
0. 'coq/Coq_ZArith_BinInt_Z_add_lt_le_mono' 'hl/thm/arith/LTE_ADD2_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_lteq' 'hl/thm/arith/LE_LT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_succ_l' 'hl/thm/int/INT_NEG_LMUL_'
0. 'coq/Coq_Bool_Bool_negb_involutive_reverse' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_le_compat_r' 'hl/thm/Library/integer/INT_DIVIDES_MUL_R_'
0. 'coq/Coq_Reals_Rtrigo_calc_sin_lb_ge_0'#@#variant 'hl/thm/Multivariate/transcendentals/COS_POS_PI2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_succ_l' 'hl/thm/int/INT_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_shuffle3' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_AC_2'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_ones_equiv'#@#variant 'hl/thm/nums/BIT1_DEF_'
0. 'coq/Coq_ZArith_BinInt_Z_setbit_spec_prime'#@#variant 'hl/thm/realax/real_sub_'
0. 'coq/Coq_Arith_PeanoNat_Nat_max_id' 'hl/thm/real/REAL_MIN_ACI_3'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_min_r' 'hl/thm/Library/prime/INDEX_TRIVIAL_BOUND_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_cancel_l' 'hl/thm/calc_int/REAL_EQ_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftl_opp_r' 'hl/thm/Multivariate/complexes/complex_div_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mod_1_r'#@#variant 'hl/thm/arith/MOD_1_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_divide_add_r' 'hl/thm/Library/prime/DIVIDES_ADD_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_le_mono_nonneg_l'#@#variant 'hl/thm/real/REAL_LT_LMUL_'#@#variant
0. 'coq/Coq_Arith_Le_le_n_S' 'hl/thm/arith/FACT_MONO_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_lcm_l' 'hl/thm/arith/LE_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_pos'#@#variant 'hl/thm/Library/transc/REAL_EXP_LT_1_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_ge_le_iff' 'hl/thm/realax/real_gt_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_land_lnot_diag' 'hl/thm/int/INT_ADD_RINV_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_le_mono_nonneg_r'#@#variant 'hl/thm/real/REAL_LE_RMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_nonneg'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_POS_LT_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_max_lub_l' 'hl/thm/Library/integer/INT_DIVIDES_RMUL2_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_refl' 'hl/thm/int/INT_LE_REFL_'
0. 'coq/Coq_ZArith_Zeven_Zquot2_opp' 'hl/thm/Multivariate/transcendentals/SIN_NEG_'
0. 'coq/Coq_QArith_Qminmax_Q_max_comm' 'hl/thm/realax/NADD_ADD_SYM_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_le_mono_l' 'hl/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_shuffle3' 'hl/thm/real/REAL_MAX_ACI_2'
0. 'coq/Coq_PArith_BinPos_Pos_add_succ_r' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RNEG_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_inj_wd' 'hl/thm/calc_num/ARITH_48'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_lt_mono_r'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_inj_wd' 'hl/thm/Library/transc/ATN_INJ_'
0. 'coq/Coq_ZArith_Zquot_Zquot_0_r' 'hl/thm/int/INT_MUL_RZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_neq_succ_0' 'hl/thm/arith/FACT_NZ_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_square_spec' 'hl/thm/arith/MULT_2_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_max_l' 'hl/thm/int/INT_MAX_MAX_/0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_pred_l' 'hl/thm/Library/pocklington/PHI_LIMIT_'
0. 'coq/Coq_Reals_Rpower_sinh_arcsinh' 'hl/thm/Library/transc/LN_EXP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_lcm_l' 'hl/thm/real/REAL_MAX_MAX_/0'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_pos_cancel_r'#@#variant 'hl/thm/real/REAL_LT_MUL_EQ_1'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pow_le_mono_l' 'hl/thm/realax/HREAL_LE_MUL_RCANCEL_IMP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_irrefl' 'hl/thm/realarith/REAL_LT_REFL_'
0. 'coq/Coq_Reals_Rtrigo1_sin_neg' 'hl/thm/Multivariate/transcendentals/CNJ_CEXP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_greatest' 'hl/thm/Complex/cpoly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Arith_Minus_minus_plus_simpl_l_reverse' 'hl/thm/arith/SUB_ADD_LCANCEL_'
0. 'coq/Coq_Reals_R_sqrt_sqrt_lt_R0'#@#variant 'hl/thm/Multivariate/vectors/SQRT_POS_LE_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_opp' 'hl/thm/Multivariate/transcendentals/TAN_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_pow' 'hl/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_ngt' 'hl/thm/realarith/REAL_NOT_LT_'
0. 'coq/Coq_NArith_BinNat_N_add_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_divide_r' 'hl/thm/int/INT_MIN_MIN_/1'
0. 'coq/Coq_ZArith_Znat_Zabs2Nat_inj_0' 'hl/thm/Multivariate/complexes/IM_II_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_min_r' 'hl/thm/Library/prime/INDEX_TRIVIAL_BOUND_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_lub_iff' 'hl/thm/int/INT_MAX_LE_'
0. 'coq/Coq_ZArith_Znat_Z2N_inj_pred' 'hl/thm/Complex/complexnumbers/CX_NEG_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_shuffle3' 'hl/thm/int/INT_MAX_ACI_2'
0. 'coq/Coq_Reals_Rfunctions_Rpow_mult_distr' 'hl/thm/real/REAL_POW_MUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_lt_mono_r' 'hl/thm/int/INT_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_add_le_sub_r' 'hl/thm/real/REAL_LE_SUB_RADD_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_pos'#@#variant 'hl/thm/Multivariate/complexes/REAL_INV_EQ_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lor_0_l' 'hl/thm/arith/MULT_CLAUSES_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_pos' 'hl/thm/calc_num/ARITH_72'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_nle_gt' 'hl/thm/int/INT_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_lt_mono_pos_l'#@#variant 'hl/thm/real/REAL_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_le_iff' 'hl/thm/int/INT_LT_MAX_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_succ_r' 'hl/thm/Multivariate/transcendentals/RPOW_NEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_divide_mono_r' 'hl/thm/Library/prime/DIVIDES_EXP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_nonneg_cancel_r'#@#variant 'hl/thm/int/INT_LE_MUL_EQ_1'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_min_glb_lt' 'hl/thm/Library/prime/DIVIDES_SUB_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_total' 'hl/thm/real/REAL_LT_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lor_lnot_diag'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_RINV_'#@#variant
0. 'coq/Coq_Init_Peano_le_n_S' 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_eq_0' 'hl/thm/Complex/complexnumbers/COMPLEX_ENTIRE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_asymm' 'hl/thm/real/REAL_LT_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_even_0' 'hl/thm/Multivariate/complexes/RE_II_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_lt_mono_l' 'hl/thm/real/REAL_LE_LADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_nlt_ge' 'hl/thm/Library/analysis/real_le_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_pred'#@#variant 'hl/thm/Multivariate/complexes/CX_SQRT_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_lub_l' 'hl/thm/Library/prime/DIVIDES_RMUL2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_le_mono' 'hl/thm/Library/floor/FLOOR_MONO_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div2_nonneg'#@#variant 'hl/thm/real/REAL_LT_INV_EQ_'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tmult_assoc_reduced_stable' 'hl/thm/Library/multiplicative/MULTIPLICATIVE_SIGMA_'
0. 'coq/Coq_Arith_Plus_plus_le_compat_r' 'hl/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_clearbit_spec_prime'#@#variant 'hl/thm/Complex/complexnumbers/complex_div_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_pos'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_POS_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_pow' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LNEG_'
0. 'coq/Coq_NArith_BinNat_N_divide_antisym' 'hl/thm/Library/analysis/LESS_EQUAL_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gt_lt_iff' 'hl/thm/arith/GE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_0_r' 'hl/thm/Library/prime/INDEX_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_min_distr' 'hl/thm/Library/transc/REAL_EXP_ADD_'
0. 'coq/Coq_PArith_BinPos_Pos_lt_irrefl' 'hl/thm/int/INT_LT_REFL_'
0. 'coq/Coq_PArith_BinPos_Pos_add_lt_mono_r' 'hl/thm/realax/NADD_LE_RADD_'
0. 'coq/Coq_Arith_Le_le_n_S' 'hl/thm/Multivariate/transcendentals/ATN_MONO_LT_'
0. 'coq/Coq_PArith_BinPos_Pos_add_le_mono_r' 'hl/thm/int/INT_LT_RADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_double'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_INV_'#@#variant
0. 'coq/Coq_Arith_Factorial_fact_neq_0' 'hl/thm/nums/NOT_SUC_'#@#variant
0. 'coq/Coq_Arith_Plus_plus_lt_compat_r' 'hl/thm/Library/prime/DIVIDES_MUL_R_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_pos'#@#variant 'hl/thm/Multivariate/vectors/SQRT_LT_0_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_pos'#@#variant 'hl/thm/Library/integer/INT_PRIME_ABS_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_r' 'hl/thm/realax/HREAL_LE_MUL_RCANCEL_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_land_nonneg'#@#variant 'hl/thm/arith/EVEN_MULT_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sub_succ' 'hl/thm/real/REAL_NEG_MUL2_'
0. 'coq/Coq_Reals_Rsqrt_def_pow_2_n_growing' 'hl/thm/Library/multiplicative/REAL_MULTIPLICATIVE_MOBIUS_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_add_le' 'hl/thm/int/INT_ABS_TRIANGLE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_succ_pred' 'hl/thm/Complex/complex_transc/CEXP_CLOG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_0_l' 'hl/thm/realax/HREAL_ADD_LID_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_add_diag_r' 'hl/thm/realax/HREAL_LE_ADD_'
0. 'coq/Coq_NArith_BinNat_N_succ_inj_wd' 'hl/thm/real/REAL_EQ_INV2_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_min_distr' 'hl/thm/Library/transc/REAL_EXP_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_neq' 'hl/thm/arith/LT_LE_'
0. 'coq/Coq_PArith_BinPos_Pos_max_lub_lt_iff' 'hl/thm/real/REAL_MAX_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_double'#@#variant 'hl/thm/Library/transc/LN_INV_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_le_compat_l' 'hl/thm/Library/integer/INT_DIVIDES_MUL_L_'
0. 'coq/Coq_Reals_Rfunctions_pow_O' 'hl/thm/realax/real_pow_0'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_1_r' 'hl/thm/calc_int/REAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sub_le_mono_r' 'hl/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_pos'#@#variant 'hl/thm/Multivariate/transcendentals/ARG_/0'#@#variant
0. 'coq/Coq_Reals_RIneq_Rplus_ge_compat_l' 'hl/thm/int/INT_LE_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_le_pred' 'hl/thm/Library/analysis/LESS_EQ_IMP_LESS_SUC_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_move_0_r' 'hl/thm/Complex/complexnumbers/COMPLEX_LNEG_UNIQ_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_pos'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_POS_LE_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_lt_mono_r' 'hl/thm/arith/LE_ADD_RCANCEL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_pred_succ' 'hl/thm/Library/transc/ATN_/2'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_1_l' 'hl/thm/realax/HREAL_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_glb_lt' 'hl/thm/Library/integer/INT_DIVIDES_ADD_'
0. 'coq/Coq_PArith_BinPos_Pos_le_refl' 'hl/thm/realax/REAL_LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_lt_mono_pos_r'#@#variant 'hl/thm/real/REAL_LT_RMUL_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_gcd_divide_l' 'hl/thm/real/REAL_MIN_MIN_/0'
0. 'coq/Coq_NArith_BinNat_N_add_succ_r' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RNEG_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_1_l' 'hl/thm/arith/MULT_CLAUSES_2'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_mul_xO_r' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RNEG_'
0. 'coq/Coq_ZArith_Zorder_Zplus_gt_compat_l' 'hl/thm/realax/TREAL_LE_LADD_IMP_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sub_add' 'hl/thm/arith/SUB_ADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_glb_lt' 'hl/thm/Library/prime/DIVIDES_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_glb_lt_iff' 'hl/thm/real/REAL_LT_MIN_'
0. 'coq/Coq_Reals_RIneq_Rinv_0_lt_compat'#@#variant 'hl/thm/Library/floor/INTEGER_CLOSED_6'
0. 'coq/Coq_NArith_BinNat_N_max_lub_l' 'hl/thm/Library/integer/INT_DIVIDES_RMUL2_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_nge' 'hl/thm/realarith/REAL_NOT_LT_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_succ_r' 'hl/thm/int/INT_MUL_RNEG_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_invc' 'hl/thm/Multivariate/transcendentals/CX_EXP_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_lub_lt_iff' 'hl/thm/int/INT_MAX_LT_'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_pred' 'hl/thm/Complex/complexnumbers/CX_INV_'
0. 'coq/Coq_NArith_BinNat_N_even_1'#@#variant 'hl/thm/Multivariate/complexes/RE_II_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_sub_succ_r' 'hl/thm/arith/SUB_1'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_max_l' 'hl/thm/realax/HREAL_LE_ADD_'
0. 'coq/Coq_ZArith_BinInt_Zpos_eq_iff' 'hl/thm/Multivariate/complexes/CX_INJ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_ngt' 'hl/thm/Library/analysis/real_le_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_succ_inj_wd' 'hl/thm/calc_num/ARITH_54'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_Zpos' 'hl/thm/real/REAL_OF_NUM_GE_'
0. 'coq/Coq_ZArith_Zeven_Zeven_Sn' 'hl/thm/Multivariate/transcendentals/LOG_POS_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_eq_mul_0' 'hl/thm/real/REAL_DIV_EQ_0_'#@#variant
0. 'coq/Coq_Reals_Rpower_arcsinh_lt' 'hl/thm/realax/NADD_INV_WELLDEF_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_add_le' 'hl/thm/real/REAL_ABS_TRIANGLE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_sgn' 'hl/thm/real/REAL_ABS_ABS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_neg_pos'#@#variant 'hl/thm/int/INT_NEG_LE0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_pos'#@#variant 'hl/thm/Library/pocklington/PHI_LOWERBOUND_2_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_succ' 'hl/thm/Library/transc/REAL_EXP_NEG_'
0. 'coq/Coq_PArith_BinPos_Pos_min_glb' 'hl/thm/Library/prime/DIVIDES_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_le_mono' 'hl/thm/Library/transc/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_1_r'#@#variant 'hl/thm/calc_int/REAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_clearbit_spec_prime'#@#variant 'hl/thm/realax/real_div_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_2' 'hl/thm/Library/transc/ATN_0_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mod_divide' 'hl/thm/Library/prime/DIVIDES_MOD_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_eq_le_incl' 'hl/thm/int/INT_EQ_IMP_LE_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_pos'#@#variant 'hl/thm/calc_num/ARITH_40'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Topp_mult_r_stable' 'hl/thm/Library/multiplicative/MULTIPLICATIVE_TAU_'
0. 'coq/Coq_ZArith_BinInt_Z_pred_inj_wd' 'hl/thm/int/INT_EQ_NEG2_'
0. 'coq/Coq_ZArith_BinInt_Z_add_shuffle3' 'hl/thm/real/REAL_MUL_AC_2'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_double_plus_one' 'hl/thm/int/int_sgn_th_'
0. 'coq/Coq_NArith_BinNat_N_mul_lt_mono_nonneg'#@#variant 'hl/thm/Library/analysis/REAL_LT_MUL2_ALT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_odd_2'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_move_r' 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_SUB_LADD_'
0. 'coq/Coq_ZArith_Zorder_Zplus_le_compat_l' 'hl/thm/Library/integer/INT_DIVIDES_MUL_L_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_add_r' 'hl/thm/int/INT_MAX_MAX_/0'
0. 'coq/Coq_QArith_Qminmax_Q_max_le_iff' 'hl/thm/real/REAL_LT_MAX_'
0. 'coq/Coq_Arith_PeanoNat_Nat_setbit_spec_prime'#@#variant 'hl/thm/Complex/complexnumbers/complex_div_'
0. 'coq/Coq_ZArith_Znat_Zabs2Nat_id' 'hl/thm/Multivariate/vectors/LIFT_DROP_1'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_succ'#@#variant 'hl/thm/int/INT_OF_NUM_SUC_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_max_l' 'hl/thm/arith/LE_ADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lcm_0_r' 'hl/thm/int/INT_MUL_RZERO_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_pos' 'hl/thm/int/INT_SGN_INEQS_3'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_lor' 'hl/thm/Complex/complex_transc/CEXP_ADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_refl' 'hl/thm/realax/HREAL_LE_REFL_'
0. 'coq/Coq_QArith_Qpower_Qpower_pos'#@#variant 'hl/thm/Library/floor/RATIONAL_CLOSED_6'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_irrefl' 'hl/thm/arith/LT_REFL_'
0. 'coq/Coq_ZArith_Zorder_Zplus_gt_compat_r' 'hl/thm/Library/integer/INT_DIVIDES_MUL_R_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_max_l' 'hl/thm/realax/HREAL_LE_ADD_'
0. 'coq/Coq_Numbers_Cyclic_DoubleCyclic_DoubleBase_lt_0_wB'#@#variant 'hl/thm/int/INT_POS_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_abs_IZR' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_INV_'
0. 'coq/Coq_ZArith_BinInt_Z_log2_le_mono' 'hl/thm/realax/NADD_INV_WELLDEF_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_le_incl' 'hl/thm/realarith/REAL_LT_IMP_LE_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_le_mono_r' 'hl/thm/int/INT_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_lxor_l' 'hl/thm/calc_int/REAL_MUL_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_lcm_r' 'hl/thm/int/INT_MAX_MAX_/1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_diag' 'hl/thm/int/INT_MIN_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_divide_mono_l' 'hl/thm/realax/NADD_LE_LMUL_'
0. 'coq/Coq_Arith_Factorial_fact_le' 'hl/thm/Multivariate/transcendentals/ATN_MONO_LT_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_lt_mono_r' 'hl/thm/realax/NADD_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_nge' 'hl/thm/int/INT_LT_'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_div2' 'hl/thm/Multivariate/transcendentals/CX_SIN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_eq_mul_1' 'hl/thm/arith/ADD_EQ_0_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_le_mono' 'hl/thm/Multivariate/transcendentals/ATN_MONO_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_shuffle3' 'hl/thm/real/REAL_MIN_ACI_2'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LE_'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_lt_lin'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_nonneg_cancel_l'#@#variant 'hl/thm/real/REAL_LE_MUL_EQ_0'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_add_diag_r' 'hl/thm/int/INT_MAX_MAX_/0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_div2_double'#@#variant 'hl/thm/Multivariate/transcendentals/CSIN_CASN_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_le_mono_nonneg_r'#@#variant 'hl/thm/int/INT_LE_RMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_mul_r' 'hl/thm/Library/prime/DIVIDES_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_lt_mono_l_iff' 'hl/thm/Library/prime/DIVIDES_RMUL2_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_lt_mono_r'#@#variant 'hl/thm/Library/analysis/REAL_LT_LMUL_IMP_'#@#variant
0. 'coq/Coq_Reals_Rpower_arcsinh_le' 'hl/thm/realax/NADD_INV_WELLDEF_'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_pred' 'hl/thm/Multivariate/transcendentals/CX_ATN_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_of_Qc' 'hl/thm/int/int_of_num_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_cancel_l' 'hl/thm/calc_int/REAL_EQ_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_pred_l' 'hl/thm/Multivariate/transcendentals/REAL_INV_RPOW_'
0. 'coq/Coq_ZArith_Znat_Z2N_inj_pred' 'hl/thm/Multivariate/transcendentals/CX_COS_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_log2_up_null'#@#variant 'hl/thm/int/INT_SGN_EQ_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_1_l' 'hl/thm/realax/REAL_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_add_le' 'hl/thm/int/INT_ABS_TRIANGLE_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_power_pos' 'hl/thm/int/INT_POW_LE_'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_lt' 'hl/thm/realax/REAL_OF_NUM_LE_'
0. 'coq/Coq_Reals_Rtrigo1_COS_bound/1' 'hl/thm/Library/floor/FLOOR_FRAC_/2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_nonneg' 'hl/thm/real/REAL_SGN_INEQS_3'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_gcd_greatest' 'hl/thm/Library/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_inj_wd' 'hl/thm/Multivariate/vectors/SQRT_INJ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_le_mono_r_iff'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LT_EQ_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_log2' 'hl/thm/Complex/complex_transc/CX_CCOS_'
0. 'coq/Coq_ZArith_BinInt_Z_even_0' 'hl/thm/Multivariate/complexes/IM_II_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_pos' 'hl/thm/calc_num/ARITH_80'
0. 'coq/Coq_NArith_BinNat_N_succ_inj_wd' 'hl/thm/nums/SUC_INJ_'
0. 'coq/Coq_ZArith_BinInt_Z_add_lnot_diag'#@#variant 'hl/thm/calc_int/REAL_ADD_RINV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_ge_cases' 'hl/thm/realax/REAL_LE_TOTAL_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_neg_xO'#@#variant 'hl/thm/Multivariate/complexes/IM_CNJ_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div_pos'#@#variant 'hl/thm/int/INT_LTE_ADD_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lcm_1_l'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_diag' 'hl/thm/arith/BIT0_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_max_l' 'hl/thm/realax/NADD_LE_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_quot_pos'#@#variant 'hl/thm/int/INT_LTE_ADD_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_eq_mul_1' 'hl/thm/arith/ADD_EQ_0_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_add_diag_r' 'hl/thm/real/REAL_MAX_MAX_/0'
0. 'coq/Coq_ZArith_BinInt_Z_log2_succ_le' 'hl/thm/Library/floor/FLOOR_DOUBLE_/0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_succ_l' 'hl/thm/calc_int/REAL_MUL_LNEG_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_move_r' 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_SUB_LADD_'
0. 'coq/Coq_Reals_Exp_prop_exp_pos_pos'#@#variant 'hl/thm/Multivariate/transcendentals/REAL_EXP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_opp' 'hl/thm/calc_num/ARITH_6'
0. 'coq/Coq_NArith_BinNat_N_nle_gt' 'hl/thm/realarith/REAL_NOT_LT_'
0. 'coq/Coq_Reals_R_sqr_Rsqr_neg' 'hl/thm/Multivariate/transcendentals/COS_NEG_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_succ_r' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_RMUL_'
0. 'coq/Coq_ZArith_BinInt_Z_succ_pred' 'hl/thm/Multivariate/transcendentals/CSIN_CASN_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lxor_0_l' 'hl/thm/realax/HREAL_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div_same'#@#variant 'hl/thm/arith/DIV_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_le_mono_l_iff' 'hl/thm/Library/prime/DIVIDES_EXP2_EQ_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_pred_l' 'hl/thm/Library/pratt/PHI_LIMIT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_nonneg'#@#variant 'hl/thm/Multivariate/complexes/REAL_INV_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftl_mul_pow2'#@#variant 'hl/thm/realax/real_sub_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_lt_iff' 'hl/thm/real/REAL_LE_MAX_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_ge_cases' 'hl/thm/int/INT_LET_TOTAL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_le_compat_r' 'hl/thm/realax/HREAL_LE_MUL_RCANCEL_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_div2'#@#variant 'hl/thm/Library/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_div2_double'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_TAN_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_add_lt_sub_r' 'hl/thm/int/INT_LE_SUB_RADD_'
0. 'coq/Coq_ZArith_Zpower_two_power_nat_S'#@#variant 'hl/thm/Complex/complexnumbers/CX_INV_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_le_mono_l' 'hl/thm/realax/NADD_LE_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_shuffle3' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_AC_2'
0. 'coq/Coq_NArith_BinNat_N_mul_0_r' 'hl/thm/arith/MULT_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_glb' 'hl/thm/Library/prime/DIVIDES_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_even_1'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_inj_wd' 'hl/thm/Library/transc/ATN_INJ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_le_compat_r' 'hl/thm/Library/analysis/LESS_MONO_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_cancel_l' 'hl/thm/calc_int/REAL_EQ_ADD_LCANCEL_'
0. 'coq/Coq_Reals_Rbasic_fun_abs_IZR' 'hl/thm/Complex/complexnumbers/CX_INV_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_add_le_sub_r' 'hl/thm/int/INT_LE_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_le_mono' 'hl/thm/Library/transc/ATN_MONO_LT_'
0. 'coq/Coq_NArith_BinNat_N_succ_pred_pos'#@#variant 'hl/thm/Library/transc/EXP_LN_'#@#variant
0. 'coq/Coq_Reals_Rfunctions_pow1' 'hl/thm/int/INT_POW_ONE_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_factor_r' 'hl/thm/arith/LE_ADDR_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lcm_1_l'#@#variant 'hl/thm/int/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_eq_not_lt' 'hl/thm/int/INT_LT_IMP_NE_'
0. 'coq/Coq_Reals_Rbasic_fun_Rmin_glb' 'hl/thm/Library/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_le_add_r' 'hl/thm/real/REAL_MAX_MAX_/0'
0. 'coq/Coq_ZArith_BinInt_Z_lnot_lxor_l' 'hl/thm/Multivariate/transcendentals/REAL_ABS_RPOW_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_eq_1'#@#variant 'hl/thm/arith/MULT_EQ_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_pos'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_POS_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_pos_nonneg'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_LT_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_1_r' 'hl/thm/arith/SUB_0_/1'
0. 'coq/Coq_Reals_RIneq_Rgt_or_ge' 'hl/thm/int/INT_LET_TOTAL_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_le' 'hl/thm/realax/REAL_OF_NUM_LE_'
0. 'coq/Coq_QArith_QArith_base_Qplus_le_r' 'hl/thm/realax/NADD_LE_LADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sub_min_distr_l' 'hl/thm/arith/EXP_ADD_'
0. 'coq/Coq_Reals_Rminmax_R_max_le_compat_l' 'hl/thm/realax/TREAL_LE_LADD_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_lcm_l' 'hl/thm/real/REAL_MAX_MAX_/0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_ngt' 'hl/thm/arith/NOT_LE_'
0. 'coq/Coq_PArith_BinPos_Pos_pred_succ' 'hl/thm/arith/PRE_1'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_greatest' 'hl/thm/Complex/cpoly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_lt_mono_nonneg'#@#variant 'hl/thm/Library/analysis/REAL_LE_MUL2V_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_inj_wd' 'hl/thm/Library/transc/ATN_INJ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_lt_mono_l' 'hl/thm/real/REAL_LE_LADD_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_of_Qc' 'hl/thm/int/NUM_OF_INT_OF_NUM_'
0. 'coq/Coq_Arith_PeanoNat_Nat_odd_1'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_le_refl' 'hl/thm/realax/NADD_LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_pos_r'#@#variant 'hl/thm/real/REAL_LE_RMUL_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_mod' 'hl/thm/arith/MOD_MULT_MOD2_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_0_r' 'hl/thm/Library/integer/INT_DIVIDES_0_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_nle' 'hl/thm/arith/NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_le_compat_l' 'hl/thm/real/REAL_LT_LADD_IMP_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_succ_l' 'hl/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_xO_r' 'hl/thm/int/INT_MUL_RNEG_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lcm_0_r' 'hl/thm/calc_int/REAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_lor' 'hl/thm/Library/transc/REAL_EXP_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_divide_mono_l' 'hl/thm/realax/TREAL_LE_LADD_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_nonneg_cancel_r'#@#variant 'hl/thm/int/INT_LE_MUL_EQ_1'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_glb' 'hl/thm/Complex/cpoly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_div_le_mono' 'hl/thm/arith/EXP_MONO_LT_IMP_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_glb_iff' 'hl/thm/int/INT_LE_MIN_'
0. 'coq/Coq_ZArith_BinInt_Z_odd_spec' 'hl/thm/Multivariate/complexes/real_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_sub_le_add_r' 'hl/thm/int/INT_LE_SUB_LADD_'
0. 'coq/Coq_FSets_FSetPositive_PositiveSet_eq_refl' 'hl/thm/realax/HREAL_LE_REFL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_0_l' 'hl/thm/realax/REAL_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_eq_iff'#@#variant 'hl/thm/Multivariate/complexes/REAL_CNJ_'#@#variant
0. 'coq/Coq_Reals_Rtrigo_calc_rad_deg' 'hl/thm/Library/transc/ATN_TAN_'
0. 'coq/Coq_ZArith_Zlogarithm_log_inf_correct/0'#@#variant 'hl/thm/realarith/REAL_POS_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_sin_neg' 'hl/thm/real/REAL_ABS_INV_'
0. 'coq/Coq_PArith_BinPos_Pos_min_le_iff' 'hl/thm/real/REAL_MIN_LE_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_divide_add_cancel_l' 'hl/thm/Library/prime/DIVIDES_ADD_REVL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_succ_l' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_LMUL_'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_pred' 'hl/thm/Complex/complex_transc/CX_CCOS_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_pos' 'hl/thm/real/REAL_SGN_INEQS_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_le_mono' 'hl/thm/Library/floor/FLOOR_MONO_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_lt_lin' 'hl/thm/Multivariate/transcendentals/ATN_LE_X_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_0_l' 'hl/thm/int/INT_MUL_LID_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_log2_up_pos'#@#variant 'hl/thm/Library/pratt/PHI_LOWERBOUND_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_0_r' 'hl/thm/realax/HREAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_red' 'hl/thm/Multivariate/transcendentals/CX_EXP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_nle_gt' 'hl/thm/Library/analysis/real_le_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lcm_1_l'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_le_lin'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lxor_nilpotent' 'hl/thm/real/REAL_SUB_REFL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_inj_wd' 'hl/thm/Multivariate/complexes/CNJ_INJ_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_le_ge_cases' 'hl/thm/realax/TREAL_LE_TOTAL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_2' 'hl/thm/int/INT_SGN_0_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_le_compat_l' 'hl/thm/realax/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_trichotomy' 'hl/thm/Library/prime/LESS_LESS_CASES_'
0. 'coq/Coq_Reals_Rminmax_R_max_le_compat_r' 'hl/thm/Library/integer/INT_DIVIDES_MUL_R_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_le_lin'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_LT_X_'#@#variant
0. 'coq/Coq_Reals_ROrderedType_ROrder_not_gt_le' 'hl/thm/int/INT_LET_TOTAL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_pred_le' 'hl/thm/arith/LE_SUC_LT_'
0. 'coq/Coq_ZArith_BinInt_Z_min_le_compat_r' 'hl/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rmult_le_compat_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LE_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_le_refl' 'hl/thm/Library/poly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_lt_mono_r' 'hl/thm/int/INT_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_le_mono' 'hl/thm/real/REAL_LT_NEG_'
0. 'coq/Coq_QArith_QArith_base_Qlt_shift_div_l'#@#variant 'hl/thm/Library/analysis/REAL_LE_RDIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_gt_cases' 'hl/thm/int/INT_LET_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_le_compat_r' 'hl/thm/arith/EXP_MONO_LE_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_min_r' 'hl/thm/Library/prime/INDEX_TRIVIAL_BOUND_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_ge_cases' 'hl/thm/realarith/REAL_LTE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_succ_l' 'hl/thm/calc_int/REAL_MUL_LNEG_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_cancel_r' 'hl/thm/arith/EQ_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_le_mono' 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_NArith_BinNat_N_min_lt_iff' 'hl/thm/real/REAL_MIN_LE_'
0. 'coq/Coq_ZArith_Zorder_not_Zeq' 'hl/thm/int/INT_LT_TOTAL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_factor_r' 'hl/thm/real/REAL_MAX_MAX_/1'
0. 'coq/Coq_ZArith_BinInt_Z_mul_opp_l' 'hl/thm/Multivariate/transcendentals/RPOW_INV_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_refl' 'hl/thm/realax/TREAL_EQ_REFL_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_pos'#@#variant 'hl/thm/Multivariate/vectors/SQRT_LE_0_'#@#variant
0. 'coq/__constr_Coq_Init_Peano_le_0_1' 'hl/thm/realax/TREAL_LE_REFL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_min_le_compat_r' 'hl/thm/Library/prime/DIVIDES_MUL_R_'
0. 'coq/Coq_PArith_BinPos_Pos_max_1_l' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qcmult_inv_r'#@#variant 'hl/thm/real/REAL_MUL_RINV_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_quot_mul' 'hl/thm/real/REAL_DIV_RMUL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_1_l'#@#variant 'hl/thm/arith/ADD_CLAUSES_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_le_lin'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_lub_lt_iff' 'hl/thm/real/REAL_MAX_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_opp' 'hl/thm/Multivariate/transcendentals/ATN_NEG_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_le_mono_l' 'hl/thm/realax/NADD_LE_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_lt_lin'#@#variant 'hl/thm/Library/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_succ_inj_wd' 'hl/thm/Multivariate/complexes/CNJ_INJ_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_pos'#@#variant 'hl/thm/Library/floor/RATIONAL_INV_EQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_1_r'#@#variant 'hl/thm/Library/prime/INDEX_0_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_le_min_r' 'hl/thm/real/REAL_MIN_MIN_/1'
0. 'coq/Coq_ZArith_BinInt_Z_ones_equiv'#@#variant 'hl/thm/calc_num/ARITH_4'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_add_r' 'hl/thm/int/INT_MAX_MAX_/0'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_le_compat_l' 'hl/thm/int/INT_LE_LADD_IMP_'
0. 'coq/Coq_ZArith_BinInt_Z_abs_0_iff' 'hl/thm/real/REAL_SGN_INEQS_4'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LT_'
0. 'coq/Coq_PArith_BinPos_Pos_lt_add_r' 'hl/thm/realax/NADD_LE_ADD_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_sub_lt_add_r' 'hl/thm/int/INT_LT_SUB_RADD_'
0. 'coq/Coq_Reals_Rfunctions_pow_incr'#@#variant 'hl/thm/real/REAL_POW_LE2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_lt_mono_pos_l'#@#variant 'hl/thm/int/INT_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_add_lt_sub_r' 'hl/thm/int/INT_LT_ADD_SUB_'
0. 'coq/Coq_ZArith_Zorder_Zsucc_lt_compat' 'hl/thm/Multivariate/transcendentals/ATN_MONO_LT_'
0. 'coq/Coq_Arith_Gt_gt_asym' 'hl/thm/arith/LT_ANTISYM_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_gcd_divide_r' 'hl/thm/real/REAL_MIN_MIN_/1'
0. 'coq/Coq_ZArith_Znat_Z2N_inj_quot2' 'hl/thm/Complex/complex_transc/CX_CEXP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_glb_lt' 'hl/thm/Library/integer/INT_DIVIDES_ADD_'
0. 'coq/Coq_Arith_EqNat_eq_nat_refl' 'hl/thm/Library/poly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_le_compat_l' 'hl/thm/Library/integer/INT_DIVIDES_MUL_L_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LT_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_sgn' 'hl/thm/Multivariate/transcendentals/CX_ATN_'#@#variant
0. 'coq/Coq_ZArith_Zeven_Zeven_quot2'#@#variant 'hl/thm/Library/transc/EXP_LN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_succ_inj_wd' 'hl/thm/calc_num/ARITH_54'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_0_l' 'hl/thm/arith/MOD_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_opp_r' 'hl/thm/Library/integer/INT_DIVIDES_RABS_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_pos'#@#variant 'hl/thm/Library/pocklington/EVEN_PHI_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_1_l'#@#variant 'hl/thm/realax/NADD_LE_0_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_lt_mono_pos_r'#@#variant 'hl/thm/real/REAL_LE_DIV2_EQ_'#@#variant
0. 'coq/Coq_QArith_Qminmax_Q_max_lub_lt_iff' 'hl/thm/real/REAL_MAX_LT_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_square' 'hl/thm/Multivariate/transcendentals/CX_EXP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_sub_le_add_r' 'hl/thm/real/REAL_LE_SUB_LADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_irrefl' 'hl/thm/realarith/REAL_LT_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_log2_le_lin'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_LE_X_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_even_2'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lxor_nilpotent' 'hl/thm/real/REAL_SUB_REFL_'#@#variant
0. 'coq/Coq_Strings_Ascii_ascii_N_embedding' 'hl/thm/int/NUM_OF_INT_OF_NUM_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_refl' 'hl/thm/realax/NADD_EQ_REFL_'
0. 'coq/Coq_Reals_Rminmax_R_opp_min_distr' 'hl/thm/Complex/complex_transc/CEXP_SUB_'
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_sub_r' 'hl/thm/Complex/cpoly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_le_mono' 'hl/thm/realax/NADD_INV_WELLDEF_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_sub' 'hl/thm/int/INT_SUB_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_le_lin'#@#variant 'hl/thm/Library/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_null'#@#variant 'hl/thm/real/REAL_SGN_EQ_1'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_cancel_l' 'hl/thm/calc_int/REAL_EQ_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_nonneg_l'#@#variant 'hl/thm/int/INT_LE_LMUL_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rle_refl' 'hl/thm/realax/HREAL_LE_REFL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_max_l' 'hl/thm/int/INT_MAX_MAX_/0'
0. 'coq/Coq_NArith_BinNat_N_max_le_compat_l' 'hl/thm/realax/NADD_MUL_WELLDEF_LEMMA_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_pos'#@#variant 'hl/thm/Library/transc/LN_POS_LT_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_le_lin'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_LT_X_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_le_mono_l' 'hl/thm/int/INT_LE_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_div_1_r' 'hl/thm/arith/SUB_0_/1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_add_lt_sub_r' 'hl/thm/int/INT_LT_SUB_RADD_'
0. 'coq/Coq_ZArith_BinInt_Z_sgn_opp' 'hl/thm/Complex/complexnumbers/CNJ_INV_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_neq' 'hl/thm/real/REAL_LT_IMP_NE_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_refl' 'hl/thm/realax/HREAL_LE_REFL_'
0. 'coq/Coq_QArith_Qminmax_Q_min_le_compat_r' 'hl/thm/arith/EXP_MONO_LE_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_factor_l' 'hl/thm/arith/LE_ADD_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_nge' 'hl/thm/Library/analysis/real_le_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_lcm_r' 'hl/thm/int/INT_MAX_MAX_/1'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_gcd_greatest' 'hl/thm/Library/prime/DIVIDES_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_pred' 'hl/thm/Multivariate/transcendentals/LOG_EXP_'
0. 'coq/Coq_Arith_Div2_even_double' 'hl/thm/Library/transc/EXP_LN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_le_mono' 'hl/thm/Library/transc/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_pred_double_succ' 'hl/thm/nums/BIT1_DEF_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lor_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_succ_diag_r' 'hl/thm/arith/LT_POW2_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pos_pred_succ' 'hl/thm/Complex/complexnumbers/complex_tybij_raw_0'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qinv_lt_0_compat'#@#variant 'hl/thm/Multivariate/transcendentals/REAL_EXP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_lxor_l' 'hl/thm/calc_int/REAL_MUL_LNEG_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_pos'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_POS_LT_'#@#variant
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_lt_total' 'hl/thm/arith/LT_CASES_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_shuffle3' 'hl/thm/real/REAL_MIN_ACI_2'
0. 'coq/Coq_ZArith_Zeven_Zeven_pred' 'hl/thm/Multivariate/transcendentals/LOG_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_neq_0_lt_0'#@#variant 'hl/thm/arith/LT_NZ_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_lxor_r' 'hl/thm/arith/ADD_SUC_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_pos_l'#@#variant 'hl/thm/real/REAL_LE_LMUL_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_lub_lt_iff' 'hl/thm/real/REAL_MAX_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftr_opp_r' 'hl/thm/realax/real_sub_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_cancel_r' 'hl/thm/realax/HREAL_EQ_ADD_RCANCEL_'
0. 'coq/Coq_QArith_Qminmax_Q_max_lub_iff' 'hl/thm/real/REAL_MAX_LT_'
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_greatest' 'hl/thm/Library/integer/INT_DIVIDES_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_lcm_r' 'hl/thm/arith/LE_ADDR_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_land_diag' 'hl/thm/int/INT_MIN_ACI_3'
0. 'coq/Coq_NArith_BinNat_N_pow_lt_mono_l' 'hl/thm/arith/DIV_MONO_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_cancel_l' 'hl/thm/int/INT_EQ_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_sub_le_add_r' 'hl/thm/int/INT_LT_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_nle_gt' 'hl/thm/int/INT_NOT_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_pred_r' 'hl/thm/int/INT_NEG_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_lt_mono_pos_l'#@#variant 'hl/thm/real/REAL_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_1_l'#@#variant 'hl/thm/int/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_opp' 'hl/thm/int/int_sgn_th_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_lor' 'hl/thm/Library/transc/REAL_EXP_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_lor' 'hl/thm/Library/transc/REAL_EXP_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_le_mono_r' 'hl/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_lt_mono_r' 'hl/thm/realax/NADD_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_lt_mono_l' 'hl/thm/arith/LE_ADD_LCANCEL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_le_mono' 'hl/thm/arith/FACT_MONO_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mod_0_l' 'hl/thm/arith/DIV_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_glb_lt_iff' 'hl/thm/int/INT_LT_MIN_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_neq' 'hl/thm/realarith/REAL_LT_LE_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_refl' 'hl/thm/realax/NADD_EQ_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_odd_2'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant
0. 'coq/Coq_ZArith_Znumtheory_prime_mult' 'hl/thm/Library/integer/INT_PRIME_DIVPROD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_shuffle3' 'hl/thm/real/REAL_MUL_AC_2'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_lt_mono_r_iff'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LT_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_pos' 'hl/thm/calc_num/ARITH_80'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lor_diag' 'hl/thm/int/INT_MAX_ACI_3'
0. 'coq/Coq_Arith_Mult_mult_le_compat_l' 'hl/thm/Library/integer/INT_DIVIDES_MUL_L_'
0. 'coq/Coq_ZArith_BinInt_Z_add_move_r' 'hl/thm/int/INT_EQ_SUB_LADD_'
0. 'coq/Coq_Reals_RIneq_Rnot_lt_le' 'hl/thm/int/INT_LET_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_le_mono' 'hl/thm/Library/transc/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_lub_lt_iff' 'hl/thm/int/INT_MAX_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pred_le_mono' 'hl/thm/arith/FACT_MONO_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_of_Qc' 'hl/thm/int/int_abstr_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_odd_0' 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_ldiff_diag' 'hl/thm/real/REAL_SUB_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_le_compat_l' 'hl/thm/Library/prime/DIVIDES_MUL_L_'
0. 'coq/Coq_ZArith_BinInt_Z_abs_opp' 'hl/thm/real/REAL_SGN_INV_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sub_succ' 'hl/thm/arith/SUB_SUC_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_neq' 'hl/thm/real/REAL_LT_IMP_NE_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_1_l' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant
0. 'coq/Coq_ZArith_Znumtheory_Zdivide_Zgcd' 'hl/thm/Library/prime/DIVIDES_SUB_'
0. 'coq/Coq_Reals_Rtrigo1_COS_bound/1' 'hl/thm/Library/transc/COS_BOUNDS_/1'#@#variant
0. 'coq/Coq_Reals_Rtrigo_reg_continuity_sin' 'hl/thm/Library/multiplicative/MULTIPLICATIVE_SIGMA_'
0. 'coq/Coq_ZArith_Znat_N2Z_is_nonneg'#@#variant 'hl/thm/Multivariate/complexes/REAL_CX_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_lcm_l' 'hl/thm/realax/NADD_LE_ADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lxor_eq_0_iff' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_0_'#@#variant
0. 'coq/Coq_Reals_Ratan_atan_increasing' 'hl/thm/Multivariate/vectors/SQRT_MONO_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_even_1'#@#variant 'hl/thm/Multivariate/complexes/RE_II_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pred_le_mono' 'hl/thm/Library/transc/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_succ' 'hl/thm/int/int_abs_th_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gt_lt_iff' 'hl/thm/int/INT_GT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_le_mono_l' 'hl/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_le_mono_l' 'hl/thm/Library/prime/LESS_MONO_ADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_eq_le_incl' 'hl/thm/realax/TREAL_EQ_AP_'#@#variant
0. 'coq/Coq_Reals_R_sqrt_sqrt_Rsqr_abs' 'hl/thm/nums/BIT1_DEF_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_pos_nonneg'#@#variant 'hl/thm/int/INT_LTE_ADD_'#@#variant
0. 'coq/Coq_Reals_Rpower_exp_ln'#@#variant 'hl/thm/Library/transc/EXP_LN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_1_r'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RZERO_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_sqrt' 'hl/thm/int/int_sgn_th_'
0. 'coq/Coq_NArith_BinNat_N_eq_mul_0' 'hl/thm/Complex/complexnumbers/COMPLEX_ENTIRE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_shuffle3' 'hl/thm/calc_int/REAL_ADD_AC_2'
0. 'coq/Coq_ZArith_Znat_Z2Nat_inj_pred' 'hl/thm/int/int_sgn_th_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_1_mul_pos'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_LT_1_'#@#variant
0. 'coq/Coq_QArith_Qminmax_Q_le_min_r' 'hl/thm/Library/prime/INDEX_TRIVIAL_BOUND_'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tred_factor3_stable' 'hl/thm/Library/multiplicative/MULTIPLICATIVE_PHI_'
0. 'coq/Coq_Reals_Exp_prop_exp_pos_pos'#@#variant 'hl/thm/real/REAL_LT_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_pos' 'hl/thm/real/REAL_SGN_INEQS_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_gt_cases' 'hl/thm/arith/LTE_CASES_'
0. 'coq/Coq_Reals_Ratan_atan_opp' 'hl/thm/Complex/complexnumbers/CNJ_NEG_'
0. 'coq/Coq_Lists_List_app_assoc_reverse' 'hl/thm/Multivariate/vectors/VECTOR_ADD_AC_1'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_succ' 'hl/thm/Library/transc/ATN_/2'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_le_iff' 'hl/thm/real/REAL_LE_MAX_'
0. 'coq/Coq_Arith_PeanoNat_Nat_clearbit_spec_prime'#@#variant 'hl/thm/real/REAL_SUB_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div_0_l' 'hl/thm/arith/DIV_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_pos_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LT_EQ_'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tplus_comm_stable' 'hl/thm/Library/multiplicative/MULTIPLICATIVE_TAU_'
0. 'coq/Coq_Reals_RIneq_Rmult_le_compat_l'#@#variant 'hl/thm/real/REAL_LT_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_lt_le_mono' 'hl/thm/arith/LTE_ADD2_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_pred_l' 'hl/thm/Library/floor/FLOOR_/1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_pred_r' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_min_r' 'hl/thm/real/REAL_MIN_MIN_/1'
0. 'coq/Coq_Structures_OrderedTypeEx_PositiveOrderedTypeBits_bits_lt_antirefl' 'hl/thm/arith/LT_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_gcd_greatest' 'hl/thm/Library/prime/DIVIDES_ADD_'
0. 'coq/Coq_Reals_Rfunctions_powerRZ_lt'#@#variant 'hl/thm/int/INT_POW_LE_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_lxor_r' 'hl/thm/calc_int/REAL_MUL_RNEG_'
0. 'coq/Coq_PArith_BinPos_Pos_le_refl' 'hl/thm/Library/integer/INT_DIVIDES_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_le_refl' 'hl/thm/int/INT_LE_REFL_'
0. 'coq/Coq_Reals_RIneq_Ropp_Ropp_IZR' 'hl/thm/Multivariate/transcendentals/CX_COS_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_max_r' 'hl/thm/arith/LE_ADDR_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_opp_r' 'hl/thm/int/INT_MUL_RNEG_'
0. 'coq/Coq_ZArith_BinInt_Zopp_mult_distr_r' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RNEG_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_divide_refl' 'hl/thm/Library/poly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_Sets_Uniset_leb_refl' 'hl/thm/realax/REAL_LE_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_rem_same' 'hl/thm/arith/MOD_REFL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_lt_mono_r' 'hl/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pred_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_1_l'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_sub_le_add_r' 'hl/thm/real/REAL_LT_SUB_LADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_nonneg_l'#@#variant 'hl/thm/real/REAL_LT_LMUL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_lt_mono_l' 'hl/thm/arith/LE_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_succ_l' 'hl/thm/Multivariate/transcendentals/REAL_INV_RPOW_'
0. 'coq/Coq_ZArith_Zquot_Zquot_0_r' 'hl/thm/realax/HREAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_pred_r' 'hl/thm/real/REAL_NEG_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lor_diag' 'hl/thm/int/INT_MAX_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_max_l' 'hl/thm/realax/NADD_LE_ADD_'
0. 'coq/Coq_Init_Datatypes_CompOpp_involutive' 'hl/thm/real/REAL_INV_INV_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_inv_norm' 'hl/thm/Library/pratt/PHI_LOWERBOUND_1_STRONG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_le_mono' 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_pos'#@#variant 'hl/thm/Library/integer/INT_PRIME_NEG_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_invc' 'hl/thm/Multivariate/transcendentals/CX_SIN_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_mod_idemp_l' 'hl/thm/arith/MOD_MULT_LMOD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_nle_gt' 'hl/thm/Library/analysis/real_le_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_nonneg'#@#variant 'hl/thm/int/INT_SGN_INEQS_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_inj_wd' 'hl/thm/Multivariate/transcendentals/REAL_EXP_INJ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div_add_l' 'hl/thm/arith/DIV_MULT_ADD_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_inj_wd' 'hl/thm/Complex/complexnumbers/CNJ_INJ_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_le_mono_r' 'hl/thm/arith/LE_ADD_RCANCEL_'
0. 'coq/Coq_Reals_Rfunctions_RPow_abs' 'hl/thm/Multivariate/complexes/COMPLEX_POW_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_eq_0' 'hl/thm/Complex/complexnumbers/COMPLEX_ENTIRE_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_quot2' 'hl/thm/Complex/complex_transc/CX_CEXP_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_comm' 'hl/thm/realax/TREAL_ADD_SYM_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_shiftl_1_l'#@#variant 'hl/thm/realarith/REAL_POLY_NEG_CLAUSES_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_add_r' 'hl/thm/Library/integer/INT_DIVIDES_SUB_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_trichotomy' 'hl/thm/arith/LT_CASES_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_sgn' 'hl/thm/real/REAL_ABS_ABS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_setbit_spec_prime'#@#variant 'hl/thm/int/INT_SUB_RNEG_'
0. 'coq/Coq_ZArith_Znumtheory_Zdivide_Zgcd' 'hl/thm/Library/prime/DIVIDES_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lnot_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_LZERO_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mod_1_r'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_le_mono_nonneg_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LT_'#@#variant
0. 'coq/Coq_Arith_EqNat_eq_nat_refl' 'hl/thm/int/INT_LE_REFL_'
0. 'coq/Coq_Reals_ROrderedType_ROrder_TO_le_lteq' 'hl/thm/arith/LE_LT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_pow' 'hl/thm/int/INT_MUL_LNEG_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_id' 'hl/thm/Multivariate/vectors/LIFT_DROP_1'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_min_le_compat_l' 'hl/thm/realax/NADD_MUL_WELLDEF_LEMMA_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_le_lt_mono' 'hl/thm/int/INT_LET_ADD2_'
0. 'coq/Coq_Reals_Ratan_ps_atan_opp' 'hl/thm/Multivariate/transcendentals/ATN_NEG_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_sub_lt_add_r' 'hl/thm/int/INT_LE_SUB_LADD_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_sqrt' 'hl/thm/Multivariate/transcendentals/CX_TAN_'#@#variant
0. 'coq/Coq_ZArith_Znumtheory_Zdivide_Zgcd' 'hl/thm/Complex/cpoly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_le_mono' 'hl/thm/real/REAL_LT_NEG_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_ngt' 'hl/thm/int/INT_NOT_LE_'
0. 'coq/Coq_NArith_BinNat_N_succ_pred' 'hl/thm/Complex/complex_transc/CEXP_CLOG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_ngt' 'hl/thm/Library/analysis/real_le_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_divide_r' 'hl/thm/int/INT_MIN_MIN_/1'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_gt_cases' 'hl/thm/int/INT_LET_TOTAL_'
0. 'coq/Coq_QArith_QArith_base_Qmult_lt_l'#@#variant 'hl/thm/Library/analysis/REAL_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_rem_abs' 'hl/thm/Library/analysis/ABS_DIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_refl' 'hl/thm/realax/TREAL_EQ_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_lor' 'hl/thm/Complex/complex_transc/CEXP_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_le_mono_nonneg_l'#@#variant 'hl/thm/int/INT_LE_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_square_spec' 'hl/thm/arith/BIT0_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_le_mono_r' 'hl/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_Reals_R_sqrt_sqrt_le_1_alt' 'hl/thm/realax/NADD_INV_WELLDEF_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_mul_assoc' 'hl/thm/realax/TREAL_ADD_ASSOC_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sgn_nonneg'#@#variant 'hl/thm/real/REAL_SGN_INEQS_1'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_0_l' 'hl/thm/int/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_Reals_RIneq_Ropp_Ropp_IZR' 'hl/thm/Multivariate/transcendentals/CX_EXP_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_Nbasic_plusnS' 'hl/thm/int/INT_NEG_RMUL_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_gt' 'hl/thm/realax/REAL_OF_NUM_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_succ_inj_wd' 'hl/thm/Multivariate/complexes/CNJ_INJ_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_odd_1'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_le_compat_l' 'hl/thm/realax/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Init_Peano_plus_n_Sm' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_RMUL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_factor_l' 'hl/thm/int/INT_MAX_MAX_/0'
0. 'coq/Coq_Init_Peano_le_pred' 'hl/thm/Library/transc/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_neq_0_succ' 'hl/thm/Complex/complex_transc/CEXP_NONZERO_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_irrefl' 'hl/thm/int/INT_LT_REFL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_pos_r'#@#variant 'hl/thm/int/INT_LT_RMUL_EQ_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_le_sub_le_add_r' 'hl/thm/real/REAL_LT_SUB_RADD_'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tmult_opp_left_stable' 'hl/thm/Library/multiplicative/MULTIPLICATIVE_SIGMA_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_cancel_l' 'hl/thm/int/INT_EQ_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_le_compat_r' 'hl/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_of_Qc_bis' 'hl/thm/Library/floor/INTEGER_CLOSED_0'
0. 'coq/Coq_ZArith_BinInt_Z_max_le_compat_l' 'hl/thm/int/INT_LE_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_sub_le_add_r' 'hl/thm/int/INT_LT_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_pred' 'hl/thm/Library/transc/ATN_/2'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_inv_norm' 'hl/thm/nums/NUM_REP_RULES_1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_square_spec' 'hl/thm/arith/MULT_2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant
0. 'coq/Coq_Reals_Rfunctions_pow_lt'#@#variant 'hl/thm/real/REAL_POW_LT_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sgn_nonneg' 'hl/thm/real/REAL_SGN_INEQS_2'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_T_OMEGA13_stable' 'hl/thm/Library/multiplicative/MULTIPLICATIVE_PHI_'
0. 'coq/Coq_PArith_BinPos_Pos_max_lub_iff' 'hl/thm/int/INT_MAX_LE_'
0. 'coq/Coq_QArith_QArith_base_Qplus_inj_l' 'hl/thm/realax/NADD_LE_LADD_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_l2i_i2l'#@#variant 'hl/thm/int/NUM_OF_INT_OF_NUM_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_inj_wd' 'hl/thm/real/REAL_EQ_INV2_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_cancel_l' 'hl/thm/realax/HREAL_EQ_ADD_LCANCEL_'
0. 'coq/Coq_NArith_BinNat_N_pow_lt_mono_r'#@#variant 'hl/thm/real/REAL_LT_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_1_r'#@#variant 'hl/thm/arith/MULT_0_'#@#variant
0. 'coq/Coq_ZArith_Zeuclid_ZEuclid_div_mod' 'hl/thm/arith/DIVISION_SIMP_1'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_factor_l' 'hl/thm/arith/LE_ADD_'
0. 'coq/Coq_ZArith_BinInt_Z_opp_nonpos_nonneg'#@#variant 'hl/thm/int/INT_NEG_LT0_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_div2_double'#@#variant 'hl/thm/Multivariate/transcendentals/CCOS_CACS_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_succ_diag_r' 'hl/thm/real/REAL_ABS_LE_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_lt_mono_l' 'hl/thm/arith/LE_ADD_LCANCEL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_lt_mono_l' 'hl/thm/int/INT_LE_LADD_'
0. 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_ge_le_iff' 'hl/thm/int/INT_GE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pred_succ' 'hl/thm/Library/transc/ATN_/2'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_1_r' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RZERO_'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_id' 'hl/thm/Multivariate/complexes/RE_CX_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_1_r'#@#variant 'hl/thm/calc_int/REAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_odd_0' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_le_pred' 'hl/thm/arith/LT_SUC_LE_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_land_comm' 'hl/thm/realax/TREAL_MUL_SYM_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_succ_pred' 'hl/thm/Library/transc/ATN_TAN_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_le_compat_r' 'hl/thm/realax/HREAL_LE_MUL_RCANCEL_IMP_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_nonneg_cancel_r'#@#variant 'hl/thm/real/REAL_LE_MUL_EQ_1'#@#variant
0. 'coq/Coq_Reals_Ratan_ps_atan_opp' 'hl/thm/real/REAL_INV_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_alt_dichotomy' 'hl/thm/int/INT_LE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_lt_mono_l' 'hl/thm/realax/HREAL_LE_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_lt_mono_pos_l'#@#variant 'hl/thm/Library/analysis/REAL_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lt_succ_diag_r' 'hl/thm/real/REAL_ABS_LE_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_1_mul_pos'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_LT_1_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_lub_r' 'hl/thm/Library/prime/DIVIDES_LMUL2_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_r' 'hl/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_lt_mono_r' 'hl/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pred_le_mono' 'hl/thm/Library/floor/FLOOR_MONO_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_le_mono' 'hl/thm/Library/transc/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_pos_cancel_l'#@#variant 'hl/thm/real/REAL_LT_MUL_EQ_0'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_sin_ge_0'#@#variant 'hl/thm/Library/transc/SIN_POS_PI2_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_succ_inj_wd' 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_NEG2_'
0. 'coq/Coq_Arith_Lt_lt_not_le' 'hl/thm/int/INT_LET_ANTISYM_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_shuffle3' 'hl/thm/real/REAL_MIN_ACI_2'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_succ_inj_wd' 'hl/thm/nums/IND_SUC_INJ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div_mod' 'hl/thm/arith/DIVISION_SIMP_1'#@#variant
0. 'coq/Coq_Init_Datatypes_CompOpp_involutive' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_NEG_'
0. 'coq/Coq_Reals_R_sqrt_sqrt_le_0'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_MONO_LE_REV_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_lt_mono_l' 'hl/thm/int/INT_LT_LADD_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_xO'#@#variant 'hl/thm/Multivariate/transcendentals/CX_TAN_'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_ge' 'hl/thm/realax/REAL_OF_NUM_LE_'
0. 'coq/Coq_Reals_RIneq_Rnot_ge_gt' 'hl/thm/arith/LTE_CASES_'
0. 'coq/Coq_QArith_Qround_Qfloor_Z' 'hl/thm/int/int_abstr_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_abs' 'hl/thm/int/int_sgn_th_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_le_trans' 'hl/thm/int/INT_LTE_TRANS_'
0. 'coq/Coq_QArith_Qreals_Q2R_opp' 'hl/thm/Multivariate/transcendentals/CX_COS_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_min_le_compat_l' 'hl/thm/real/REAL_LT_LADD_IMP_'
0. 'coq/Coq_ZArith_BinInt_Z_add_opp_r' 'hl/thm/Complex/complexnumbers/complex_div_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_odd_1'#@#variant 'hl/thm/Multivariate/complexes/IM_II_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_nonpos_nonneg'#@#variant 'hl/thm/real/REAL_NEG_LE0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_0_l' 'hl/thm/arith/MULT_CLAUSES_2'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_div2_neg' 'hl/thm/int/INT_SGN_INEQS_8'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_ge_cases' 'hl/thm/int/INT_LTE_TOTAL_'
0. 'coq/Coq_Reals_RIneq_Ropp_0_le_ge_contravar'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_POS_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_le_mono' 'hl/thm/Library/floor/FLOOR_MONO_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_nle_gt' 'hl/thm/int/INT_NOT_LT_'
0. 'coq/Coq_Reals_Rpower_Rpower_sqrt'#@#variant 'hl/thm/Library/pocklington/PHI_PRIME_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div_add_l' 'hl/thm/arith/DIV_MULT_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_inj_wd' 'hl/thm/Multivariate/complexes/CNJ_INJ_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_square_spec' 'hl/thm/arith/MULT_2_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_shuffle3' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_AC_2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_glb' 'hl/thm/Complex/cpoly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_fourier_Fourier_util_Rlt_zero_pos_plus1'#@#variant 'hl/thm/Library/pratt/PHI_LOWERBOUND_1_STRONG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_0_r' 'hl/thm/Library/prime/DIVIDES_ONE_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lxor_m1_l'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftr_shiftr' 'hl/thm/arith/EXP_MULT_'
0. 'coq/Coq_Reals_Ratan_atan_opp' 'hl/thm/int/INT_SGN_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lor_nonneg'#@#variant 'hl/thm/arith/LT_MULT_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_min_distr' 'hl/thm/Multivariate/transcendentals/REAL_EXP_ADD_'
0. 'coq/Coq_ZArith_BinInt_Z_lxor_m1_l'#@#variant 'hl/thm/int/INT_NEG_MINUS1_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_mod_idemp_l' 'hl/thm/arith/MOD_EXP_MOD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_pos'#@#variant 'hl/thm/real/REAL_LE_INV_EQ_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_eq_cases' 'hl/thm/int/INT_LE_LT_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_total' 'hl/thm/Library/prime/LESS_LESS_CASES_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_diag'#@#variant 'hl/thm/Library/analysis/REAL_DOUBLE_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_Zpos' 'hl/thm/int/int_lt_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_nlt' 'hl/thm/Library/analysis/real_le_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_le_compat_r' 'hl/thm/Library/prime/DIVIDES_EXP_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_le_mono' 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_NArith_BinNat_N_min_le_compat_l' 'hl/thm/realax/NADD_LE_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_le_compat_l' 'hl/thm/realax/NADD_MUL_WELLDEF_LEMMA_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_divide_l' 'hl/thm/int/INT_MIN_MIN_/0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_involutive' 'hl/thm/calc_int/REAL_NEG_NEG_'
0. 'coq/Coq_Numbers_Cyclic_DoubleCyclic_DoubleBase_wwB_pos'#@#variant 'hl/thm/Multivariate/transcendentals/RE_CACS_BOUNDS_/0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_neq' 'hl/thm/real/REAL_LT_IMP_NE_'
0. 'coq/Coq_Sets_Uniset_leb_refl' 'hl/thm/Library/prime/DIVIDES_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pred_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LT_'
0. 'coq/Coq_Arith_Le_le_n_S' 'hl/thm/Multivariate/vectors/SQRT_MONO_LT_'
0. 'coq/Coq_ZArith_Znat_Zabs2Nat_inj_pos' 'hl/thm/int/int_of_num_th_'
0. 'coq/Coq_ZArith_BinInt_Z_le_succ_l' 'hl/thm/arith/LE_SUC_LT_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_lub_l' 'hl/thm/Library/prime/DIVIDES_RMUL2_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_succ_r' 'hl/thm/int/INT_MUL_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_0_l' 'hl/thm/arith/MOD_0_'#@#variant
0. 'coq/Coq_ZArith_Zquot_Zquot_opp_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LNEG_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_max_l' 'hl/thm/realax/HREAL_LE_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_cancel_r' 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_ADD_RCANCEL_'
0. 'coq/Coq_Reals_Rfunctions_RPow_abs' 'hl/thm/real/REAL_SGN_POW_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_sub_le_add_r' 'hl/thm/Library/analysis/SUB_LEFT_GREATER_EQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lor_diag' 'hl/thm/real/REAL_MAX_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant
0. 'coq/Coq_Reals_Rpower_arcsinh_lt' 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Reals_Rpower_ln_exp' 'hl/thm/Multivariate/transcendentals/ATN_TAN_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_clearbit_spec_prime'#@#variant 'hl/thm/Complex/complexnumbers/complex_sub_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_lt' 'hl/thm/int/int_gt_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_opp_l' 'hl/thm/int/INT_MUL_LNEG_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_shuffle3' 'hl/thm/int/INT_MAX_ACI_2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_inj_wd' 'hl/thm/real/REAL_EQ_NEG2_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_irrefl' 'hl/thm/int/INT_LT_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_shuffle3' 'hl/thm/calc_int/REAL_ADD_AC_2'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lcm_eq_0' 'hl/thm/realarith/REAL_ENTIRE_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_id' 'hl/thm/int/INT_MIN_ACI_3'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_red' 'hl/thm/Multivariate/transcendentals/CX_SIN_'#@#variant
0. 'coq/Coq_Reals_Ratan_ps_atan_opp' 'hl/thm/Multivariate/vectors/SQRT_INV_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_le_compat_r' 'hl/thm/arith/EXP_MONO_LE_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_nge' 'hl/thm/realax/real_lt_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_shuffle3' 'hl/thm/int/INT_MIN_ACI_2'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_0_l' 'hl/thm/realax/HREAL_ADD_LID_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rplus_gt_compat_l' 'hl/thm/realax/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_inj_wd' 'hl/thm/Multivariate/transcendentals/REAL_EXP_INJ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_land_0_r' 'hl/thm/int/INT_MUL_RZERO_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_le_iff' 'hl/thm/int/INT_LE_MAX_'
0. 'coq/Coq_Reals_Rtrigo_calc_rad_deg' 'hl/thm/arith/PRE_1'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_eq_le_incl' 'hl/thm/int/INT_EQ_IMP_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_pos' 'hl/thm/real/REAL_SGN_INEQS_2'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_cos_neg' 'hl/thm/Library/transc/COS_ABS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mod_1_r'#@#variant 'hl/thm/Library/prime/INDEX_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_gt_cases' 'hl/thm/arith/LTE_CASES_'
0. 'coq/Coq_QArith_Qcanon_Qcle_antisym' 'hl/thm/Library/analysis/LESS_EQUAL_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gt_lt_iff' 'hl/thm/int/INT_GE_'
0. 'coq/Coq_QArith_QArith_base_Qnot_le_lt' 'hl/thm/arith/LTE_CASES_'
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_Zabs' 'hl/thm/Multivariate/complexes/CX_INV_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_add_r' 'hl/thm/arith/LE_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_pow2'#@#variant 'hl/thm/Multivariate/transcendentals/EXP_LOG_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_pos'#@#variant 'hl/thm/calc_num/ARITH_40'
0. 'coq/Coq_Arith_PeanoNat_Nat_nlt_ge' 'hl/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_ge_le_iff' 'hl/thm/realax/real_gt_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_nge' 'hl/thm/arith/NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_asymm' 'hl/thm/int/INT_LT_ANTISYM_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_add_assoc' 'hl/thm/realax/NADD_MUL_ASSOC_'
0. 'coq/Coq_Bool_Bool_andb_negb_r' 'hl/thm/int/INT_ADD_RINV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_max_l' 'hl/thm/realax/NADD_LE_ADD_'
0. 'coq/__constr_Coq_Arith_Even_even_1_1' 'hl/thm/Library/pocklington/EVEN_PHI_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_pow2'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_LE_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lor_diag' 'hl/thm/real/REAL_MAX_ACI_3'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_max_l' 'hl/thm/arith/LE_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_1_l' 'hl/thm/arith/SUB_0_/0'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_gcd_divide_l' 'hl/thm/int/INT_MIN_MIN_/0'
0. 'coq/Coq_NArith_BinNat_N_div2_div'#@#variant 'hl/thm/arith/ADD1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lxor_0_l' 'hl/thm/int/INT_MUL_LID_'#@#variant
0. 'coq/Coq_ZArith_Zeven_Zquot2_opp' 'hl/thm/Complex/complexnumbers/CNJ_NEG_'
0. 'coq/Coq_Reals_Rtrigo1_neg_cos' 'hl/thm/Library/transc/SIN_PERIODIC_PI_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_factor_l' 'hl/thm/realax/HREAL_LE_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_divide_l' 'hl/thm/int/INT_MIN_MIN_/0'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_pos' 'hl/thm/int/INT_SGN_INEQS_3'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_le_iff' 'hl/thm/real/REAL_MIN_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lor_0_l' 'hl/thm/arith/ADD_CLAUSES_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_asymm' 'hl/thm/real/REAL_LT_GT_'
0. 'coq/Coq_ZArith_BinInt_Zpos_eq_iff' 'hl/thm/int/INT_OF_NUM_EQ_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_succ_diag_r' 'hl/thm/real/REAL_ABS_LE_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lcm_divide_iff' 'hl/thm/real/REAL_MAX_LT_'
0. 'coq/Coq_Reals_Rfunctions_tech_pow_Rmult' 'hl/thm/Library/poly/poly_exp_1'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_le_mono_pos_r'#@#variant 'hl/thm/real/REAL_LT_RMUL_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_succ_r' 'hl/thm/int/INT_NEG_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_2' 'hl/thm/Multivariate/transcendentals/TAN_0_'
0. 'coq/Coq_Bool_Bool_andb_false_iff' 'hl/thm/int/INT_ENTIRE_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_le_compat_l' 'hl/thm/int/INT_LE_LADD_IMP_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_le_mono' 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_1_l'#@#variant 'hl/thm/int/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_min_l' 'hl/thm/real/REAL_MIN_MIN_/0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pred_le_mono' 'hl/thm/arith/FACT_MONO_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lxor_eq_0_iff' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_opp' 'hl/thm/Multivariate/vectors/SQRT_NEG_'
0. 'coq/Coq_Reals_Rpower_arcsinh_le' 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_double'#@#variant 'hl/thm/Multivariate/complexes/CX_INV_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_le' 'hl/thm/int/int_gt_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_add_r' 'hl/thm/Library/integer/INT_DIVIDES_SUB_'
0. 'coq/Coq_ZArith_BinInt_Z_le_refl' 'hl/thm/arith/LE_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_lt_succ_r' 'hl/thm/Library/analysis/LESS_SUC_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_inj_wd' 'hl/thm/Multivariate/transcendentals/REAL_EXP_INJ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_le_lin'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_LT_X_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_pos' 'hl/thm/calc_num/ARITH_72'
0. 'coq/Coq_QArith_Qabs_Qle_Qabs' 'hl/thm/Library/analysis/LESS_EQ_SUC_REFL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pow_lt_mono'#@#variant 'hl/thm/Library/analysis/REAL_LT_MUL2_ALT_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_even_0' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftl_opp_r' 'hl/thm/real/REAL_SUB_RNEG_'
0. 'coq/Coq_Reals_ROrderedType_ROrder_lt_irrefl' 'hl/thm/arith/LT_REFL_'
0. 'coq/Coq_QArith_QOrderedType_QOrder_not_ge_lt' 'hl/thm/arith/LTE_CASES_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_le_mono' 'hl/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Reals_RIneq_Ropp_mult_distr_r_reverse' 'hl/thm/arith/ADD_SUC_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_eq_mul_1'#@#variant 'hl/thm/arith/MULT_EQ_1_'#@#variant
0. 'coq/Coq_Reals_Rtrigo_def_sin_antisym' 'hl/thm/real/REAL_ABS_INV_'
0. 'coq/Coq_NArith_BinNat_N_gcd_1_r'#@#variant 'hl/thm/int/INT_MUL_RZERO_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sub_lt_mono_r' 'hl/thm/arith/LT_ADD_RCANCEL_'
0. 'coq/Coq_ZArith_Zorder_Zplus_lt_compat_r' 'hl/thm/realax/NADD_LE_RMUL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lor_0_l' 'hl/thm/arith/MULT_CLAUSES_2'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_1_r' 'hl/thm/arith/ADD_0_'
0. 'coq/Coq_Reals_RIneq_Rlt_irrefl' 'hl/thm/int/INT_LT_REFL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_1_l' 'hl/thm/realax/HREAL_MUL_LID_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_nonneg_cancel_r'#@#variant 'hl/thm/int/INT_LE_MUL_EQ_1'#@#variant
0. 'coq/Coq_Reals_Ratan_ps_atan_opp' 'hl/thm/real/REAL_ABS_INV_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_sub_r' 'hl/thm/Library/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_divide_factor_l' 'hl/thm/realax/HREAL_LE_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_lcm_l' 'hl/thm/int/INT_MAX_MAX_/0'
0. 'coq/Coq_setoid_ring_RealField_Rdef_pow_add' 'hl/thm/Multivariate/complexes/COMPLEX_POW_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_land_0_r' 'hl/thm/int/INT_MUL_RZERO_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_lt_mono_r' 'hl/thm/int/INT_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sub_succ' 'hl/thm/arith/SUB_SUC_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_pred_l' 'hl/thm/Multivariate/transcendentals/REAL_ABS_RPOW_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pred_div2_up' 'hl/thm/int/int_neg_th_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_lcm_l' 'hl/thm/realax/HREAL_LE_ADD_'
0. 'coq/Coq_ZArith_Znumtheory_rel_prime_mult' 'hl/thm/Library/integer/INT_DIVIDES_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_ngt' 'hl/thm/int/INT_LT_'
0. 'coq/Coq_NArith_BinNat_N_succ_inj_wd' 'hl/thm/calc_num/ARITH_48'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_le_mono_l' 'hl/thm/real/REAL_LE_LADD_'
0. 'coq/Coq_Reals_Rminmax_R_OT_lt_total' 'hl/thm/arith/LT_CASES_'
0. 'coq/Coq_ZArith_BinInt_Z_quot_0_l' 'hl/thm/arith/DIV_0_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lcm_eq_0' 'hl/thm/arith/MULT_EQ_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_le_incl' 'hl/thm/int/INT_LT_IMP_LE_'
0. 'coq/Coq_QArith_Qminmax_Q_min_glb' 'hl/thm/Library/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lor_0_l' 'hl/thm/realax/REAL_MUL_LID_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_comm' 'hl/thm/realax/TREAL_ADD_SYM_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lxor_0_l' 'hl/thm/realax/REAL_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_square_spec' 'hl/thm/arith/BIT0_'
0. 'coq/Coq_Reals_Exp_prop_exp_plus' 'hl/thm/Multivariate/transcendentals/REAL_EXP_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_neq' 'hl/thm/int/INT_LT_LE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_lub_iff' 'hl/thm/int/INT_MAX_LT_'
0. 'coq/Coq_ZArith_Zorder_Zmult_lt_0_le_compat_r'#@#variant 'hl/thm/real/REAL_LT_RMUL_'#@#variant
0. 'coq/Coq_Arith_EqNat_eq_nat_refl' 'hl/thm/arith/LE_REFL_'
0. 'coq/Coq_ZArith_Zpower_Zpower_pos_is_exp' 'hl/thm/Complex/complexnumbers/COMPLEX_POW_ADD_'
0. 'coq/Coq_ZArith_BinInt_Z_divide_Zpos' 'hl/thm/int/INT_OF_NUM_GE_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_total' 'hl/thm/int/INT_LT_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_divide_mono_r' 'hl/thm/realax/HREAL_LE_MUL_RCANCEL_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_lt_le_mono' 'hl/thm/int/INT_LTE_ADD2_'
0. 'coq/Coq_ZArith_BinInt_Z_pow_pos_nonneg'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_LE_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_quot_pos'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_LT_1_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_le_0_r' 'hl/thm/Library/prime/DIVIDES_ONE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_le_compat_r' 'hl/thm/Library/prime/LESS_MONO_ADD_'
0. 'coq/Coq_Init_Peano_le_pred' 'hl/thm/Multivariate/transcendentals/ATN_MONO_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lor_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_glb_iff' 'hl/thm/int/INT_LT_MIN_'
0. 'coq/Coq_Numbers_Cyclic_DoubleCyclic_DoubleBase_wB_pos'#@#variant 'hl/thm/Multivariate/complexes/REAL_CX_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qlt_le_trans' 'hl/thm/arith/LTE_TRANS_'
0. 'coq/Coq_NArith_BinNat_N_le_ngt' 'hl/thm/int/INT_NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_0_iff' 'hl/thm/calc_num/ARITH_52'
0. 'coq/Coq_QArith_QArith_base_Qplus_comm' 'hl/thm/realax/TREAL_ADD_SYM_'#@#variant
0. 'coq/Coq_ZArith_Zsqrt_compat_Zsqrt_plain_is_pos'#@#variant 'hl/thm/Multivariate/vectors/SQRT_POS_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_sub_r' 'hl/thm/Library/prime/DIVIDES_ADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_pos_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LE_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_eq_mul_0' 'hl/thm/Complex/complexnumbers/COMPLEX_ENTIRE_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_abs_involutive' 'hl/thm/int/INT_ABS_ABS_'
0. 'coq/Coq_Arith_Lt_nat_total_order' 'hl/thm/int/INT_LT_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_le_mono_r'#@#variant 'hl/thm/int/INT_LE_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_le_mono' 'hl/thm/arith/FACT_MONO_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lxor_m1_l'#@#variant 'hl/thm/int/INT_NEG_MINUS1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_opp_l' 'hl/thm/arith/ADD_CLAUSES_2'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_square_spec' 'hl/thm/arith/MULT_2_'#@#variant
0. 'coq/Coq_Reals_ROrderedType_R_as_OT_le_lteq' 'hl/thm/arith/LE_LT_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_le_compat_r' 'hl/thm/arith/EXP_MONO_LE_IMP_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_l' 'hl/thm/realax/TREAL_LE_LADD_IMP_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_1_r' 'hl/thm/realax/HREAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_rem_1_r'#@#variant 'hl/thm/arith/MOD_1_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_le_compat_l' 'hl/thm/int/INT_LE_LADD_IMP_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_move_0_r' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_succ_r' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RNEG_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_cancel_r' 'hl/thm/int/INT_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_inj_wd' 'hl/thm/real/REAL_EQ_INV2_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_succ_l' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_LMUL_'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_move_right_stable' 'hl/thm/Multivariate/realanalysis/POLYNOMIAL_FUNCTION_BERNOULLI_'
0. 'coq/Coq_Arith_Lt_lt_0_neq'#@#variant 'hl/thm/arith/LE_1_5'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_le_lin'#@#variant 'hl/thm/Library/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_le_mono_r' 'hl/thm/arith/LE_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_0_mul_prime'#@#variant 'hl/thm/arith/ODD_MULT_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_pos'#@#variant 'hl/thm/Library/floor/INTEGER_ABS_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_shuffle3' 'hl/thm/arith/ADD_AC_2'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_nle_gt' 'hl/thm/int/INT_NOT_LT_'
0. 'coq/Coq_PArith_BinPos_Pos_le_nlt' 'hl/thm/realarith/REAL_NOT_LT_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_le_compat_r' 'hl/thm/Library/prime/LESS_MONO_ADD_'
0. 'coq/Coq_Arith_Lt_lt_n_S' 'hl/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rge_antisym' 'hl/thm/Library/analysis/LESS_EQUAL_ANTISYM_'
0. 'coq/Coq_Sets_Uniset_leb_refl' 'hl/thm/int/INT_LE_REFL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_pos'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_POS_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_nlt_0_r' 'hl/thm/Library/prime/NOT_LESS_0_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_le_compat_l' 'hl/thm/realax/TREAL_LE_LADD_IMP_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_sub_add_distr' 'hl/thm/Library/prime/EXP_EXP_'
0. 'coq/Coq_Reals_Rminmax_R_min_id' 'hl/thm/real/REAL_MIN_ACI_3'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_l' 'hl/thm/int/INT_LE_LADD_IMP_'
0. 'coq/Coq_ZArith_BinInt_Z_add_succ_r' 'hl/thm/real/REAL_NEG_RMUL_'
0. 'coq/Coq_ZArith_BinInt_Z_min_glb' 'hl/thm/Library/prime/DIVIDES_SUB_'
0. 'coq/Coq_NArith_BinNat_N_add_cancel_l' 'hl/thm/calc_int/REAL_EQ_ADD_LCANCEL_'
0. 'coq/Coq_ZArith_BinInt_Z_sgn_nonneg' 'hl/thm/calc_num/ARITH_72'
0. 'coq/Coq_NArith_BinNat_N_gcd_0_l' 'hl/thm/int/INT_MUL_LID_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_log2_up_pow2'#@#variant 'hl/thm/Multivariate/transcendentals/EXP_LOG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_glb_lt' 'hl/thm/Library/prime/DIVIDES_ADD_'
0. 'coq/Coq_ZArith_Zorder_Zplus_le_reg_l' 'hl/thm/realax/NADD_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lcm_0_r' 'hl/thm/int/INT_MUL_RZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lxor_0_l' 'hl/thm/arith/ADD_CLAUSES_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_factor_r' 'hl/thm/real/REAL_MAX_MAX_/1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_pos'#@#variant 'hl/thm/Library/floor/INTEGER_NEG_'
0. 'coq/Coq_Reals_ROrderedType_ROrder_TO_lt_total' 'hl/thm/Library/analysis/LESS_LESS_CASES_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_succ' 'hl/thm/int/int_neg_th_'
0. 'coq/Coq_Reals_RIneq_Rge_not_gt' 'hl/thm/real/REAL_LET_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_sub_le_add_r' 'hl/thm/real/REAL_LT_ADD_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_add_r' 'hl/thm/real/REAL_MAX_MAX_/0'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_0_l' 'hl/thm/int/INT_MUL_LID_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_gt_cases' 'hl/thm/realarith/REAL_LTE_TOTAL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_refl' 'hl/thm/Complex/cpoly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_succ_inj_wd' 'hl/thm/nums/IND_SUC_INJ_'
0. 'coq/Coq_MMaps_MMapPositive_PositiveMap_ME_eqke_equiv'#@#variant 'hl/thm/Multivariate/topology/MCOMPLETE_EUCLIDEAN_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_glb_lt' 'hl/thm/Library/prime/DIVIDES_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_2' 'hl/thm/Multivariate/transcendentals/ATN_0_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_le_mono' 'hl/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_ZArith_Zpow_facts_Zpower_pos_0_l' 'hl/thm/real/REAL_POW_ONE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_divide_mono_l' 'hl/thm/real/REAL_LT_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_even_2'#@#variant 'hl/thm/Multivariate/complexes/RE_II_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sub_succ' 'hl/thm/int/INT_NEG_MUL2_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_nonneg' 'hl/thm/Multivariate/transcendentals/ATN_BOUNDS_/0'#@#variant
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_div2' 'hl/thm/int/int_neg_th_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_quot_le_mono'#@#variant 'hl/thm/Library/analysis/REAL_LE_RMUL_IMP_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_lt_lin' 'hl/thm/Multivariate/transcendentals/LOG_LT_X_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_inj_wd' 'hl/thm/Complex/complexnumbers/CNJ_INJ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pred_le_mono' 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_succ_le' 'hl/thm/Library/floor/FLOOR_DOUBLE_/0'#@#variant
0. 'coq/Coq_NArith_Ndist_ni_min_idemp' 'hl/thm/int/INT_MAX_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_ge_cases' 'hl/thm/int/INT_LTE_TOTAL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_succ_inj_wd' 'hl/thm/Library/prime/CANCEL_TIMES2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_le_mono' 'hl/thm/arith/FACT_MONO_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_pos'#@#variant 'hl/thm/Library/floor/INTEGER_ABS_'
0. 'coq/Coq_FSets_FMapPositive_append_neutral_l' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_inj_wd' 'hl/thm/Multivariate/complexes/CNJ_INJ_'#@#variant
0. 'coq/Coq_PArith_Pnat_Nat2Pos_inj_pred' 'hl/thm/int/int_sgn_th_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_add_le_sub_r' 'hl/thm/int/INT_LT_ADD_SUB_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_square_spec' 'hl/thm/arith/MULT_2_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_nonneg_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LE_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_lt_mono_l' 'hl/thm/arith/LT_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_le_mono_r' 'hl/thm/int/INT_LT_RADD_'
0. 'coq/Coq_Reals_RIneq_Rplus_lt_compat_r' 'hl/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_2' 'hl/thm/int/INT_SGN_0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_le_mono_l' 'hl/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_sqrt_sqrt_up' 'hl/thm/Multivariate/transcendentals/REAL_EXP_LE_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_nonneg'#@#variant 'hl/thm/Library/integer/INT_PRIME_NEG_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_pred_l' 'hl/thm/int/INT_MUL_LNEG_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_1'#@#variant 'hl/thm/Multivariate/complexes/IM_II_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_setbit_spec_prime'#@#variant 'hl/thm/int/INT_SUB_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_pos'#@#variant 'hl/thm/real/REAL_SGN_INEQS_1'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div2_nonneg'#@#variant 'hl/thm/real/REAL_LE_INV_EQ_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Zpred_succ' 'hl/thm/Library/transc/LN_EXP_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_sub_r' 'hl/thm/Complex/cpoly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_le_mono_nonneg_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LT_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_add_succ_l' 'hl/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_Arith_Factorial_fact_le' 'hl/thm/Multivariate/vectors/SQRT_MONO_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_eq_0' 'hl/thm/arith/MULT_EQ_1_'#@#variant
0. 'coq/Coq_Reals_Rpower_ln_exp' 'hl/thm/Multivariate/transcendentals/CCOS_CACS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_ldiff' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_LNEG_'
0. 'coq/Coq_Reals_Exp_prop_exp_pos_pos'#@#variant 'hl/thm/Multivariate/vectors/SQRT_POS_LT_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_le_mono' 'hl/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_lt_le_mono' 'hl/thm/real/REAL_LTE_ADD2_'
0. 'coq/Coq_Arith_PeanoNat_Nat_odd_0' 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rge_or_gt' 'hl/thm/int/INT_LTE_TOTAL_'
0. 'coq/Coq_QArith_QArith_base_inject_Z_opp' 'hl/thm/Multivariate/transcendentals/CX_COS_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_pos' 'hl/thm/real/REAL_SGN_INEQS_3'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_max_lub_lt_iff' 'hl/thm/int/INT_MAX_LT_'
0. 'coq/Coq_ZArith_BinInt_Z_div2_neg' 'hl/thm/real/REAL_SGN_INEQS_8'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_sub_diag' 'hl/thm/int/INT_SUB_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_pos_nonneg'#@#variant 'hl/thm/realarith/REAL_LTE_ADD_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_odd_2' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_le_mono_pos_r'#@#variant 'hl/thm/int/INT_LT_RMUL_EQ_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_odd_1' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_succ_inj_wd' 'hl/thm/Multivariate/transcendentals/REAL_EXP_INJ_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_odd_0' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_le_compat_r' 'hl/thm/Library/analysis/LESS_MONO_ADD_'
0. 'coq/Coq_fourier_Fourier_util_Rlt_zero_pos_plus1'#@#variant 'hl/thm/real/REAL_LT_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_clearbit_spec_prime'#@#variant 'hl/thm/Complex/complexnumbers/complex_sub_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_rem_abs' 'hl/thm/Library/analysis/ABS_DIV_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_opp' 'hl/thm/real/REAL_INV_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_odd_1'#@#variant 'hl/thm/nums/ZERO_DEF_'
0. 'coq/Coq_ZArith_BinInt_Zsucc_pred' 'hl/thm/Library/transc/ATN_/2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_ge_cases' 'hl/thm/realarith/REAL_LTE_TOTAL_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_le_mono_pos_l'#@#variant 'hl/thm/real/REAL_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_nge' 'hl/thm/arith/NOT_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_0_l' 'hl/thm/realax/REAL_ADD_LID_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_divide_1_l'#@#variant 'hl/thm/Library/prime/DIVIDES_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_diag' 'hl/thm/int/INT_SUB_REFL_'#@#variant
0. 'coq/Coq_Reals_R_sqrt_sqrt_positivity'#@#variant 'hl/thm/Library/floor/RATIONAL_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_le_mono_l' 'hl/thm/real/REAL_LE_LADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_lub_r' 'hl/thm/Library/prime/DIVIDES_LMUL2_'
0. 'coq/Coq_ZArith_Znumtheory_not_prime_1'#@#variant 'hl/thm/Library/integer/INT_PRIME_0_'#@#variant
0. 'coq/Coq_Reals_R_sqr_Rsqr_neg' 'hl/thm/calc_int/REAL_ABS_NEG_'
0. 'coq/Coq_PArith_BinPos_Pos_add_le_mono_l' 'hl/thm/int/INT_LE_LADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lor_diag' 'hl/thm/int/INT_MIN_ACI_3'
0. 'coq/Coq_ZArith_BinInt_Z_rem_1_r'#@#variant 'hl/thm/arith/MOD_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_refl' 'hl/thm/arith/LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_le_mono' 'hl/thm/arith/FACT_MONO_'
0. 'coq/Coq_ZArith_Zgcd_alt_Zgcd_bound_opp' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_CNJ_'
0. 'coq/Coq_NArith_BinNat_N_eq_0_gt_0_cases'#@#variant 'hl/thm/Library/analysis/LESS_0_CASES_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_le_compat_r' 'hl/thm/realax/HREAL_LE_MUL_RCANCEL_IMP_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sub_le_mono_r' 'hl/thm/realax/NADD_LE_RMUL_'
0. 'coq/Coq_ZArith_BinInt_Zminus_diag_reverse' 'hl/thm/int/INT_SUB_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_pred' 'hl/thm/Library/transc/REAL_EXP_NEG_'
0. 'coq/Coq_Reals_Rtrigo1_sin_minus' 'hl/thm/Multivariate/transcendentals/SIN_SUB_'
0. 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_ge_le_iff' 'hl/thm/realax/real_gt_'
0. 'coq/Coq_NArith_BinNat_N_log2_up_pos'#@#variant 'hl/thm/Library/pocklington/PHI_LOWERBOUND_1_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_lt_eq_cases' 'hl/thm/arith/LE_LT_'
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_Zabs' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_INV_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_lt_mono_pos_l'#@#variant 'hl/thm/real/REAL_LE_LMUL_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_nle_gt' 'hl/thm/int/INT_NOT_LE_'
0. 'coq/Coq_Bool_Bool_eqb_refl' 'hl/thm/int/INT_LE_SQUARE_'#@#variant
0. 'coq/Coq_NArith_Ndist_Nplength_ultra' 'hl/thm/realax/TREAL_OF_NUM_ADD_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_2' 'hl/thm/int/INT_NEG_0_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div_le_mono' 'hl/thm/arith/EXP_MONO_LT_IMP_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_assoc' 'hl/thm/realax/TREAL_ADD_ASSOC_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pred_le_mono' 'hl/thm/Library/transc/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_le_compat_l' 'hl/thm/Library/integer/INT_DIVIDES_MUL_L_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_involutive' 'hl/thm/Multivariate/complexes/CNJ_CNJ_'#@#variant
0. 'coq/Coq_QArith_Qminmax_Q_min_glb_lt' 'hl/thm/Library/integer/INT_DIVIDES_ADD_'
0. 'coq/Coq_NArith_BinNat_N_le_ngt' 'hl/thm/realarith/REAL_NOT_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_lt_mono_pos_l'#@#variant 'hl/thm/Library/analysis/REAL_LE_LMUL_LOCAL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_eq_0_iff' 'hl/thm/arith/EXP_EQ_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_le_lin'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_LE_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_le_mono_l' 'hl/thm/Library/prime/LESS_MONO_ADD_'
0. 'coq/Coq_Bool_Bool_negb_involutive' 'hl/thm/Complex/complexnumbers/CNJ_CNJ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_divide_mono_r' 'hl/thm/arith/EXP_MONO_LE_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_move_0_r' 'hl/thm/int/INT_LNEG_UNIQ_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_succ' 'hl/thm/Multivariate/complexes/CX_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_neq_succ_0' 'hl/thm/nums/IND_SUC_0_'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_lor' 'hl/thm/Multivariate/transcendentals/REAL_EXP_ADD_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_even_2' 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_0_l' 'hl/thm/realax/REAL_MUL_LID_'#@#variant
0. 'coq/Coq_Bool_Bool_orb_true_r' 'hl/thm/Library/prime/INDEX_0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_rem_idemp_l' 'hl/thm/arith/MOD_MULT_LMOD_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_even_1' 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_nonneg'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_POS_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_div_le_mono' 'hl/thm/arith/EXP_MONO_LT_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_le_mono_nonneg_l'#@#variant 'hl/thm/real/REAL_LT_LMUL_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_nonneg_r'#@#variant 'hl/thm/Library/analysis/REAL_LE_RMUL_IMP_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_even_0' 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_1_l' 'hl/thm/realax/REAL_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_nlt' 'hl/thm/realax/real_lt_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_nlt_ge' 'hl/thm/arith/NOT_LE_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lxor_comm' 'hl/thm/realax/TREAL_MUL_SYM_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_1_r'#@#variant 'hl/thm/Library/transc/LESS_1_'#@#variant
0. 'coq/Coq_Reals_Rtrigo_def_sin_antisym' 'hl/thm/int/INT_ABS_SGN_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_succ_r' 'hl/thm/int/INT_NEG_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_lt_mono_r'#@#variant 'hl/thm/real/REAL_LE_LMUL_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_gcd_eq_0' 'hl/thm/arith/MULT_EQ_1_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_le_max_l' 'hl/thm/realax/HREAL_LE_ADD_'
0. 'coq/Coq_Reals_Rfunctions_pow_R1' 'hl/thm/real/REAL_POW_EQ_1_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_add_le_sub_r' 'hl/thm/int/INT_LT_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_add_le' 'hl/thm/real/REAL_ABS_TRIANGLE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lcm_diag' 'hl/thm/real/REAL_MUL_2_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_double_spec'#@#variant 'hl/thm/Library/analysis/REAL_INV_1OVER_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lcm_comm' 'hl/thm/realax/TREAL_ADD_SYM_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_pos'#@#variant 'hl/thm/Library/pratt/PHI_LOWERBOUND_1_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_log2_lt_lin'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_LE_X_'#@#variant
0. 'coq/Coq_ZArith_Zpower_two_power_nat_S'#@#variant 'hl/thm/Complex/complex_transc/CX_CCOS_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pred_div2_up' 'hl/thm/int/int_abs_th_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lcm_0_r' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RZERO_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_lt_mono_r' 'hl/thm/realax/HREAL_LE_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lor_diag' 'hl/thm/int/INT_MIN_ACI_3'
0. 'coq/Coq_QArith_QArith_base_Qnot_lt_le' 'hl/thm/realarith/REAL_LTE_TOTAL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_lt_mono_l' 'hl/thm/int/INT_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_1_mul_pos'#@#variant 'hl/thm/int/INT_LTE_ADD_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rinv_0_lt_compat'#@#variant 'hl/thm/Library/transc/SQRT_POS_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_le_mono_pos_l'#@#variant 'hl/thm/real/REAL_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_neq' 'hl/thm/arith/LT_LE_'
0. 'coq/Coq_Reals_RIneq_Rplus_gt_compat_r' 'hl/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_lt_mono_r' 'hl/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_sub_r' 'hl/thm/Library/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_pos' 'hl/thm/calc_num/ARITH_80'
0. 'coq/Coq_NArith_BinNat_N_add_mod' 'hl/thm/arith/MOD_ADD_MOD_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_le_lt_mono' 'hl/thm/real/REAL_LET_ADD2_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div2_nonneg' 'hl/thm/int/INT_SGN_INEQS_3'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_glb_lt_iff' 'hl/thm/int/INT_LE_MIN_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_le_mono_l' 'hl/thm/Library/analysis/LESS_MONO_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_refl' 'hl/thm/Multivariate/misc/GE_REFL_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_is_pos'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_POS_'#@#variant
0. 'coq/Coq_Reals_Rsqrt_def_Rsqrt_positivity'#@#variant 'hl/thm/real/REAL_LT_POW2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_sub_succ_r' 'hl/thm/Multivariate/transcendentals/RPOW_NEG_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_add_lt_sub_r' 'hl/thm/real/REAL_LT_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_square_nonneg'#@#variant 'hl/thm/realarith/REAL_LE_SQUARE_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_nle' 'hl/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_Init_Peano_plus_O_n' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_greatest' 'hl/thm/Library/integer/INT_DIVIDES_SUB_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_ones_equiv'#@#variant 'hl/thm/nums/BIT1_DEF_'
0. 'coq/Coq_ZArith_Znumtheory_not_prime_1'#@#variant 'hl/thm/Library/prime/PRIME_0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lcm_eq_0' 'hl/thm/realarith/REAL_ENTIRE_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_rem_opp_l_prime' 'hl/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sub_succ' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_MUL2_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_setbit_spec_prime'#@#variant 'hl/thm/Complex/complexnumbers/complex_div_'
0. 'coq/Coq_Arith_Factorial_fact_le' 'hl/thm/Library/floor/FLOOR_MONO_'
0. 'coq/__constr_Coq_Arith_Even_even_1_1' 'hl/thm/Library/pratt/PHI_LOWERBOUND_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_le_mono_r' 'hl/thm/realax/HREAL_LE_ADD_RCANCEL_'
0. 'coq/Coq_MSets_MSetPositive_PositiveSet_E_bits_lt_antirefl' 'hl/thm/int/INT_LT_REFL_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_opp' 'hl/thm/Complex/complexnumbers/CX_INV_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_ngt' 'hl/thm/Library/analysis/real_le_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_oppc' 'hl/thm/Complex/complex_transc/CX_CEXP_'
0. 'coq/Coq_QArith_Qminmax_Q_max_comm' 'hl/thm/realax/TREAL_ADD_SYM_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_le_compat_l' 'hl/thm/realax/NADD_MUL_WELLDEF_LEMMA_'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_le_mono' 'hl/thm/Library/transc/ATN_MONO_LT_'
0. 'coq/Coq_ZArith_Zorder_Zplus_le_compat_r' 'hl/thm/Library/prime/LESS_MONO_ADD_'
0. 'coq/Coq_ZArith_BinInt_Z_succ_pred' 'hl/thm/arith/PRE_1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_lt_mono_l' 'hl/thm/int/INT_LE_LADD_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_glb_lt' 'hl/thm/Library/integer/INT_DIVIDES_SUB_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_lt_mono_nonneg'#@#variant 'hl/thm/Library/analysis/REAL_LE_MUL2V_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sub_1_r'#@#variant 'hl/thm/arith/ADD1_'#@#variant
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_div2' 'hl/thm/int/int_abs_th_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_glb_iff' 'hl/thm/int/INT_LT_MIN_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_sub_r' 'hl/thm/Library/prime/DIVIDES_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_pos'#@#variant 'hl/thm/Library/floor/INTEGER_ABS_'
0. 'coq/Coq_Reals_Rsqrt_def_Rsqrt_positivity'#@#variant 'hl/thm/Multivariate/transcendentals/ARG_/0'#@#variant
0. 'coq/Coq_Bool_Bool_eqb_reflx' 'hl/thm/arith/SUB_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_le_mono' 'hl/thm/arith/FACT_MONO_'
0. 'coq/Coq_Reals_Rtrigo1_cos_neg' 'hl/thm/Library/transc/COS_NEG_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_0_l' 'hl/thm/int/INT_ADD_LID_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lor_diag' 'hl/thm/int/INT_MIN_ACI_3'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_shiftr' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_glb' 'hl/thm/Complex/cpoly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_divide_mono_l' 'hl/thm/Library/prime/DIVIDES_MUL_L_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_le_mono_r' 'hl/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_Even_or_Odd' 'hl/thm/arith/EVEN_OR_ODD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lcm_comm' 'hl/thm/realax/NADD_MUL_SYM_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_irrefl' 'hl/thm/arith/LT_REFL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_lub_r' 'hl/thm/Library/prime/DIVIDES_LMUL2_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_pos_r'#@#variant 'hl/thm/real/REAL_LT_RMUL_EQ_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_pos'#@#variant 'hl/thm/Library/transc/ATN_POS_LE_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_pos' 'hl/thm/calc_num/ARITH_80'
0. 'coq/Coq_NArith_BinNat_N_max_le_compat_l' 'hl/thm/realax/NADD_LE_LMUL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_sqrt' 'hl/thm/int/int_abs_th_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_le_mono_l' 'hl/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lxor_0_l' 'hl/thm/realax/NADD_ADD_LID_'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_succ' 'hl/thm/Multivariate/complexes/CX_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pos_pred_succ' 'hl/thm/Multivariate/complexes/RE_CX_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_neq_succ_0' 'hl/thm/arith/FACT_NZ_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qmult_lt_compat_r'#@#variant 'hl/thm/real/REAL_LT_RMUL_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_min_l' 'hl/thm/Library/analysis/SUB_LESS_EQ_'
0. 'coq/Coq_Reals_Rbasic_fun_abs_IZR' 'hl/thm/Complex/complex_transc/CX_CCOS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_divide_cancel_r' 'hl/thm/Library/integer/INT_DIVIDES_RMUL2_EQ_'#@#variant
0. 'coq/Coq_ZArith_Znat_Z2Nat_inj_succ'#@#variant 'hl/thm/Multivariate/transcendentals/CX_LOG_'#@#variant
0. 'coq/Coq_ZArith_Znat_Zabs2N_id' 'hl/thm/Complex/complexnumbers/complex_tybij_raw_0'#@#variant
0. 'coq/Coq_Arith_Max_max_0_l' 'hl/thm/realax/HREAL_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_le_mono' 'hl/thm/Multivariate/transcendentals/ATN_MONO_LT_'
0. 'coq/Coq_NArith_BinNat_N_add_0_l' 'hl/thm/realax/HREAL_ADD_LID_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_is_nonneg'#@#variant 'hl/thm/Library/floor/INTEGER_CLOSED_0'
0. 'coq/Coq_Sets_Uniset_leb_refl' 'hl/thm/realax/TREAL_EQ_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_divide_mono_r' 'hl/thm/Library/prime/DIVIDES_MUL_R_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_2' 'hl/thm/int/INT_NEG_0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_sub_l' 'hl/thm/int/INT_MIN_MIN_/0'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_ge_cases' 'hl/thm/realax/TREAL_LE_TOTAL_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_le_compat_r' 'hl/thm/Library/prime/DIVIDES_MUL_R_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_sub' 'hl/thm/int/INT_SUB_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_shuffle3' 'hl/thm/int/INT_MAX_ACI_2'
0. 'coq/Coq_ZArith_BinInt_Z_sub_succ_l' 'hl/thm/arith/ADD_CLAUSES_2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_pos'#@#variant 'hl/thm/real/REAL_LT_INV_EQ_'#@#variant
0. 'coq/Coq_ZArith_Zlogarithm_log_inf_correct1'#@#variant 'hl/thm/int/INT_POS_'#@#variant
0. 'coq/Coq_ZArith_Zpow_facts_Zpower_pos_pos'#@#variant 'hl/thm/real/REAL_POW_LE_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_total' 'hl/thm/Library/analysis/LESS_CASES_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_lt_mono_r' 'hl/thm/arith/LT_ADD_RCANCEL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_r' 'hl/thm/Library/prime/DIVIDES_MUL_R_'
0. 'coq/Coq_Reals_Rtrigo1_cos_shift'#@#variant 'hl/thm/Multivariate/transcendentals/COS_SIN_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_le_mono' 'hl/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_ZArith_Zeven_Zquot2_opp' 'hl/thm/Multivariate/transcendentals/CNJ_CEXP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_pos'#@#variant 'hl/thm/Library/transc/ATN_POS_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_pos'#@#variant 'hl/thm/Multivariate/transcendentals/REAL_EXP_LT_1_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_lub_lt_iff' 'hl/thm/int/INT_MAX_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_clearbit_spec_prime'#@#variant 'hl/thm/real/REAL_SUB_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_pos'#@#variant 'hl/thm/Library/pratt/PHI_LOWERBOUND_2_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_land_diag' 'hl/thm/int/INT_MAX_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_lt_mono_l' 'hl/thm/real/REAL_LE_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_glb_lt_iff' 'hl/thm/real/REAL_LT_MIN_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_shuffle3' 'hl/thm/arith/MULT_AC_2'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_1_l' 'hl/thm/realax/HREAL_ADD_LID_'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qcle_refl' 'hl/thm/realax/HREAL_LE_REFL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_nonneg'#@#variant 'hl/thm/calc_num/ARITH_44'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_pos'#@#variant 'hl/thm/Multivariate/complexes/REAL_INV_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_pos'#@#variant 'hl/thm/Library/transc/LN_POS_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pred_le_mono' 'hl/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_land_m1_l'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_1_l' 'hl/thm/Library/analysis/SUB_OLD_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_le_trans' 'hl/thm/int/INT_LTE_TRANS_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_succ_l' 'hl/thm/arith/MULT_1'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_nlt_1_r' 'hl/thm/Library/prime/NOT_LESS_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_div2' 'hl/thm/Multivariate/transcendentals/CX_COS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_le_mono_r'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LT_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_assoc' 'hl/thm/realax/NADD_MUL_ASSOC_'
0. 'coq/Coq_Reals_R_sqrt_sqrt_less_alt'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_rem_1_r'#@#variant 'hl/thm/arith/EXP_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lor_nonneg'#@#variant 'hl/thm/arith/ODD_MULT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_ngt' 'hl/thm/arith/NOT_LE_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_sub_norm' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_TRIANGLE_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_glb' 'hl/thm/Library/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Zopp_mult_distr_l' 'hl/thm/Multivariate/transcendentals/REAL_ABS_RPOW_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_lt_mono_r' 'hl/thm/int/INT_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_nge' 'hl/thm/realarith/REAL_NOT_LT_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_succ_l' 'hl/thm/Multivariate/transcendentals/REAL_ABS_RPOW_'
0. 'coq/Coq_Reals_Rtrigo1_sin_gt_0'#@#variant 'hl/thm/Multivariate/transcendentals/SIN_POS_PI_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_mul_r' 'hl/thm/Library/prime/DIVIDES_LMUL_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_inv_norm' 'hl/thm/Library/pocklington/PHI_LOWERBOUND_1_STRONG_'#@#variant
0. 'coq/Coq_Reals_Exp_prop_exp_pos_pos'#@#variant 'hl/thm/Library/pratt/PHI_LOWERBOUND_1_STRONG_'#@#variant
0. 'coq/Coq_Reals_RIneq_cond_nonneg'#@#variant 'hl/thm/int/INT_POS_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lxor_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_gcd_greatest' 'hl/thm/Library/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_le_lin'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_LT_X_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_glb_iff' 'hl/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_lt_mono_r' 'hl/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_Reals_RIneq_Rplus_ge_reg_l' 'hl/thm/realax/NADD_ADD_LCANCEL_'
0. 'coq/Coq_NArith_Nnat_Nat2N_id' 'hl/thm/Library/floor/INT_OF_REAL_OF_INT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_le_compat_l' 'hl/thm/int/INT_LE_LADD_IMP_'
0. 'coq/Coq_Reals_R_sqrt_sqrt_positivity'#@#variant 'hl/thm/Library/floor/INTEGER_CLOSED_5'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_ge' 'hl/thm/int/int_gt_'
0. 'coq/Coq_Bool_Bool_andb_diag' 'hl/thm/real/REAL_MAX_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div2_neg' 'hl/thm/int/INT_SGN_INEQS_7'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_eq_mul_1'#@#variant 'hl/thm/arith/MULT_EQ_1_'#@#variant
0. 'coq/Coq_Reals_Ranalysis4_Rcontinuity_abs' 'hl/thm/Library/multiplicative/MULTIPLICATIVE_TAU_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_odd_2' 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant
0. 'coq/Coq_Arith_Lt_lt_n_S' 'hl/thm/Library/transc/ATN_MONO_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_pos' 'hl/thm/calc_num/ARITH_72'
0. 'coq/Coq_Reals_RList_RList_P1' 'hl/thm/real/REAL_POW_LE_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lt_add_lt_sub_r' 'hl/thm/int/INT_LE_SUB_LADD_'
0. 'coq/Coq_ZArith_BinInt_Z_lnot_lor' 'hl/thm/Complex/complex_transc/CEXP_ADD_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_odd_1' 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_add_r' 'hl/thm/Library/integer/INT_DIVIDES_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_double'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_pred_pos'#@#variant 'hl/thm/Multivariate/transcendentals/EXP_LOG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_succ_inj_wd' 'hl/thm/Multivariate/transcendentals/REAL_EXP_INJ_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_odd_0' 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_lt_mono_l' 'hl/thm/arith/LT_ADD_LCANCEL_'
0. 'coq/Coq_ZArith_BinInt_Z_gcd_divide_l' 'hl/thm/Library/analysis/SUB_LESS_EQ_'
0. 'coq/Coq_Reals_RIneq_Rnot_ge_gt' 'hl/thm/realarith/REAL_LET_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_ngt' 'hl/thm/int/INT_NOT_LT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_setbit_spec_prime'#@#variant 'hl/thm/real/REAL_SUB_RNEG_'
0. 'coq/Coq_PArith_BinPos_Pos_mul_cancel_r' 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_ADD_RCANCEL_'
0. 'coq/Coq_Reals_ROrderedType_R_as_OT_le_lteq' 'hl/thm/realarith/REAL_LE_LT_'
0. 'coq/Coq_Reals_RIneq_Ropp_neq_0_compat' 'hl/thm/Library/analysis/REAL_INV_NZ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_le_mono' 'hl/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_lt_mono_l' 'hl/thm/int/INT_LE_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_nlt' 'hl/thm/int/INT_NOT_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_ge_cases' 'hl/thm/realarith/REAL_LTE_TOTAL_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_xO'#@#variant 'hl/thm/Complex/complexnumbers/CX_INV_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_add_lt_sub_r' 'hl/thm/real/REAL_LE_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_glb' 'hl/thm/Library/prime/DIVIDES_ADD_'
0. 'coq/Coq_NArith_Ndist_ni_le_refl' 'hl/thm/realax/NADD_EQ_REFL_'
0. 'coq/Coq_Bool_Bool_andb_false_r' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LE_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_nge' 'hl/thm/arith/NOT_LT_'
0. 'coq/Coq_ZArith_BinInt_Z_add_add_simpl_r_r' 'hl/thm/arith/SUB_ADD_RCANCEL_'
0. 'coq/Coq_Reals_Rlimit_eps2'#@#variant 'hl/thm/Multivariate/misc/REAL_HALF_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lxor_lnot_lnot' 'hl/thm/real/REAL_NEG_MUL2_'
0. 'coq/Coq_Reals_R_sqrt_sqrt_positivity'#@#variant 'hl/thm/Multivariate/vectors/SQRT_POS_LE_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_ldiff_land' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_cancel_l' 'hl/thm/calc_int/REAL_EQ_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_succ_r' 'hl/thm/calc_int/REAL_MUL_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_1_l'#@#variant 'hl/thm/realarith/REAL_POLY_NEG_CLAUSES_0'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_move_r' 'hl/thm/real/REAL_EQ_SUB_RADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_l' 'hl/thm/realax/NADD_LE_LMUL_'
0. 'coq/Coq_Reals_Rbasic_fun_Rmin_Rgt' 'hl/thm/real/REAL_MAX_LT_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_lt_mono_l' 'hl/thm/real/REAL_LT_LADD_'
0. 'coq/Coq_Reals_Rtrigo1_tan_neg' 'hl/thm/Complex/complex_transc/CSIN_NEG_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_eq_0' 'hl/thm/Complex/complexnumbers/COMPLEX_ENTIRE_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_xO_r' 'hl/thm/calc_int/REAL_MUL_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_1_l'#@#variant 'hl/thm/Library/prime/DIVIDES_1_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_1_l' 'hl/thm/realax/REAL_MUL_LID_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_opp_le_mono' 'hl/thm/int/INT_LE_NEG2_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_of_Qc_bis' 'hl/thm/int/INT_POS_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_lt_mono_pos_r'#@#variant 'hl/thm/real/REAL_LE_DIV2_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_rem_rem' 'hl/thm/arith/MOD_MOD_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div2_succ_double' 'hl/thm/Multivariate/transcendentals/ATN_TAN_'
0. 'coq/Coq_ZArith_Zpower_two_power_nat_S'#@#variant 'hl/thm/Complex/complex_transc/CX_CSIN_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_le_compat_r' 'hl/thm/arith/EXP_MONO_LE_IMP_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_0_r' 'hl/thm/realax/HREAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_2' 'hl/thm/Multivariate/transcendentals/ATN_0_'
0. 'coq/Coq_Sets_Classical_sets_Complement_Complement' 'hl/thm/lists/REVERSE_REVERSE_'
0. 'coq/Coq_ZArith_Zeven_Zeven_Sn' 'hl/thm/Library/pocklington/PHI_LOWERBOUND_2_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_div2' 'hl/thm/Complex/complex_transc/CX_CSIN_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_is_nonneg'#@#variant 'hl/thm/Multivariate/complexes/REAL_CX_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qplus_lt_r' 'hl/thm/real/REAL_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_pos'#@#variant 'hl/thm/Library/floor/RATIONAL_INV_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_refl' 'hl/thm/int/INT_LE_REFL_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_succ' 'hl/thm/Complex/complex_transc/CX_CSIN_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_divide_add_cancel_l' 'hl/thm/Complex/cpoly/POLY_DIVIDES_SUB2_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_divide_lcm_l' 'hl/thm/int/INT_MAX_MAX_/0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_divide_mono_r' 'hl/thm/Library/analysis/LESS_MONO_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pred_le_mono' 'hl/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Reals_RIneq_cond_pos'#@#variant 'hl/thm/Library/floor/INTEGER_CLOSED_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_sub_lt_add_r' 'hl/thm/int/INT_LT_ADD_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_nle_gt' 'hl/thm/int/INT_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sub_le_mono_r' 'hl/thm/Library/integer/INT_DIVIDES_MUL_R_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_max_l' 'hl/thm/realax/HREAL_LE_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_pos'#@#variant 'hl/thm/Library/transc/LN_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_setbit_spec_prime'#@#variant 'hl/thm/real/REAL_SUB_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_0_l' 'hl/thm/arith/MULT_CLAUSES_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_even_0' 'hl/thm/Multivariate/complexes/RE_II_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_le_mono' 'hl/thm/Multivariate/transcendentals/ATN_MONO_LT_'
0. 'coq/Coq_ZArith_BinInt_Z_land_0_r' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RZERO_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_cancel_l' 'hl/thm/realax/HREAL_EQ_ADD_LCANCEL_'
0. 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_mult_lt_compat_l'#@#variant 'hl/thm/real/REAL_LE_LMUL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_lt' 'hl/thm/int/INT_BOUNDS_LE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_inj_wd' 'hl/thm/calc_num/ARITH_54'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_pos_lt'#@#variant 'hl/thm/int/INT_ABS_CASES_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_eq_0' 'hl/thm/arith/ADD_EQ_0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_land_nonneg'#@#variant 'hl/thm/arith/EVEN_MULT_'
0. 'coq/Coq_NArith_BinNat_N_mul_lt_mono_pos_l'#@#variant 'hl/thm/real/REAL_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_pow2'#@#variant 'hl/thm/Multivariate/transcendentals/EXP_LOG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_add_le' 'hl/thm/real/REAL_ABS_TRIANGLE_'
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_pos'#@#variant 'hl/thm/Multivariate/transcendentals/REAL_EXP_LT_1_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sub_succ_l' 'hl/thm/int/INT_MUL_LNEG_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_min_l' 'hl/thm/int/INT_MIN_MIN_/0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_diag' 'hl/thm/arith/SUB_REFL_'#@#variant
0. 'coq/Coq_Lists_Streams_tl_nth_tl' 'hl/thm/Multivariate/vectors/VECTOR_MUL_RNEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_1_r' 'hl/thm/int/INT_MUL_RZERO_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lcm_1_l'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_LZERO_'#@#variant
0. 'coq/Coq_ZArith_Znat_Z2N_inj_quot2' 'hl/thm/Multivariate/transcendentals/CX_SIN_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_le_mono_r' 'hl/thm/realax/NADD_LE_RADD_'
0. 'coq/Coq_NArith_BinNat_N_mul_shuffle3' 'hl/thm/int/INT_MIN_ACI_2'
0. 'coq/Coq_Reals_RIneq_cond_nonneg'#@#variant 'hl/thm/Library/floor/RATIONAL_NUM_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_odd_1'#@#variant 'hl/thm/Multivariate/complexes/RE_II_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pred_le_mono' 'hl/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_refl' 'hl/thm/realax/NADD_EQ_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_lt_iff' 'hl/thm/int/INT_MIN_LE_'
0. 'coq/Coq_PArith_BinPos_Pos_min_glb_lt_iff' 'hl/thm/int/INT_LE_MIN_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_nonneg'#@#variant 'hl/thm/Library/floor/INTEGER_NEG_'
0. 'coq/Coq_QArith_Qminmax_Q_le_max_r' 'hl/thm/int/INT_MAX_MAX_/1'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_div2' 'hl/thm/Multivariate/transcendentals/CX_SIN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_rem_opp_l_prime' 'hl/thm/Multivariate/transcendentals/REAL_INV_RPOW_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_neq' 'hl/thm/arith/LT_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_le_iff' 'hl/thm/real/REAL_LT_MAX_'
0. 'coq/Coq_PArith_BinPos_Pos_succ_not_1' 'hl/thm/Library/transc/REAL_EXP_NZ_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_comm' 'hl/thm/realax/NADD_ADD_SYM_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_lt_mono_nonneg'#@#variant 'hl/thm/Library/analysis/REAL_LE_MUL2V_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_cancel_r' 'hl/thm/realax/HREAL_LE_ADD_RCANCEL_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_xO'#@#variant 'hl/thm/Multivariate/transcendentals/CX_COS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_greatest' 'hl/thm/Library/integer/INT_DIVIDES_SUB_'
0. 'coq/Coq_Reals_Ratan_atan_opp' 'hl/thm/calc_num/ARITH_6'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_abs' 'hl/thm/Complex/complexnumbers/CX_INV_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_opp_r' 'hl/thm/int/INT_NEG_RMUL_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigN_BigZ_spec_Z_of_N' 'hl/thm/int/int_of_num_th_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_diag' 'hl/thm/arith/MULT_2_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_0_2' 'hl/thm/Library/transc/PI2_BOUNDS_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lxor_0_l' 'hl/thm/int/INT_ADD_LID_'#@#variant
0. 'coq/Coq_Reals_RIneq_INR_IZR_INZ' 'hl/thm/int/int_of_num_'
0. 'coq/Coq_Arith_EqNat_eq_nat_refl' 'hl/thm/Complex/cpoly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_opp_r' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RNEG_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_0_1' 'hl/thm/Library/transc/PI2_BOUNDS_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_ge_le_iff' 'hl/thm/int/INT_GT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_lt_mono_r' 'hl/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_0_r'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_refl' 'hl/thm/realax/NADD_EQ_REFL_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_lt' 'hl/thm/int/INT_OF_NUM_GE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_odd_0' 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div_pos'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_LT_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_1_r'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_ngt' 'hl/thm/Library/analysis/real_le_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_asymm' 'hl/thm/int/INT_LT_GT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_pos'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_POS_LT_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rge_gt_trans' 'hl/thm/arith/LET_TRANS_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_nlt_ge' 'hl/thm/int/INT_NOT_LE_'
0. 'coq/Coq_QArith_Qcanon_Qcplus_0_l'#@#variant 'hl/thm/realax/HREAL_ADD_LID_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rnot_le_lt' 'hl/thm/arith/LET_CASES_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_opp' 'hl/thm/Multivariate/transcendentals/CNJ_CTAN_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_pred_double_spec' 'hl/thm/nums/BIT1_DEF_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_le' 'hl/thm/int/INT_BOUNDS_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_max_l' 'hl/thm/int/INT_MAX_MAX_/0'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_0_l' 'hl/thm/realax/HREAL_ADD_LID_'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tred_factor3_stable' 'hl/thm/Library/multiplicative/MULTIPLICATIVE_TAU_'
0. 'coq/Coq_Init_Peano_le_pred' 'hl/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_rem' 'hl/thm/arith/MOD_MULT_MOD2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_le_mono' 'hl/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_pos'#@#variant 'hl/thm/Library/pratt/PHI_LOWERBOUND_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lor_diag' 'hl/thm/int/INT_MAX_ACI_3'
0. 'coq/Coq_QArith_QOrderedType_QOrder_le_refl' 'hl/thm/Library/prime/DIVIDES_REFL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_ge_cases' 'hl/thm/realax/REAL_LE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lxor_nilpotent' 'hl/thm/real/REAL_SUB_REFL_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_xO_r' 'hl/thm/real/REAL_NEG_RMUL_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_inv_norm' 'hl/thm/Multivariate/transcendentals/REAL_EXP_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_land' 'hl/thm/Complex/complex_transc/CEXP_ADD_'
0. 'coq/__constr_Coq_Arith_Even_even_1_1' 'hl/thm/Library/transc/LN_POS_LT_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_div2_nonneg'#@#variant 'hl/thm/real/REAL_SGN_INEQS_1'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_odd_1'#@#variant 'hl/thm/nums/ZERO_DEF_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_1_r' 'hl/thm/arith/SUB_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sub_le_mono_r' 'hl/thm/Library/prime/DIVIDES_MUL_R_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_null'#@#variant 'hl/thm/int/INT_SGN_EQ_1'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lcm_0_r' 'hl/thm/Library/pocklington/ORDER_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pos_pred_succ' 'hl/thm/Complex/complexnumbers/complex_tybij_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_sub_lt_add_r' 'hl/thm/int/INT_LT_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_setbit_spec_prime'#@#variant 'hl/thm/realax/real_sub_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_ge_cases' 'hl/thm/int/INT_LE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_le_mono_pos_l'#@#variant 'hl/thm/int/INT_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_1' 'hl/thm/nums/BIT0_DEF_0'
0. 'coq/Coq_Reals_Rtrigo_calc_rad_deg' 'hl/thm/Multivariate/transcendentals/CCOS_CACS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_sub_diag' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lcm_1_l'#@#variant 'hl/thm/arith/ADD_CLAUSES_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_le_mono_l' 'hl/thm/Library/prime/DIVIDES_MUL_R_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_lteq' 'hl/thm/arith/LE_LT_'
0. 'coq/Coq_Arith_PeanoNat_Nat_land_diag' 'hl/thm/int/INT_MAX_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_shuffle3' 'hl/thm/int/INT_MAX_ACI_2'
0. 'coq/Coq_Arith_PeanoNat_Nat_min_glb_lt_iff' 'hl/thm/int/INT_LE_MIN_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_add_r' 'hl/thm/Library/integer/INT_DIVIDES_SUB_'
0. 'coq/Coq_NArith_BinNat_N_nlt_ge' 'hl/thm/realax/real_lt_'
0. 'coq/Coq_PArith_Pnat_SuccNat2Pos_inj_succ' 'hl/thm/Complex/complex_transc/CX_CSIN_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_le_mono_r' 'hl/thm/realax/HREAL_LE_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_inj_wd' 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_NEG2_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_cancel_r' 'hl/thm/int/INT_EQ_ADD_RCANCEL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_alt_dichotomy' 'hl/thm/realax/TREAL_LE_TOTAL_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qlt_not_le' 'hl/thm/arith/LET_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_pos_nonneg'#@#variant 'hl/thm/int/INT_LTE_ADD_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_pos_r'#@#variant 'hl/thm/real/REAL_LE_DIV2_EQ_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zsucc_gt_compat' 'hl/thm/realax/NADD_INV_WELLDEF_'
0. 'coq/Coq_ZArith_BinInt_Z_divide_factor_l' 'hl/thm/real/REAL_MAX_MAX_/0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_pos_cancel_r'#@#variant 'hl/thm/real/REAL_LT_MUL_EQ_1'#@#variant
0. 'coq/Coq_NArith_BinNat_N_min_0_r' 'hl/thm/realax/HREAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_le_min_r' 'hl/thm/Library/prime/INDEX_TRIVIAL_BOUND_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_lub_lt_iff' 'hl/thm/real/REAL_MAX_LT_'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_succ' 'hl/thm/Multivariate/complexes/CX_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_shuffle3' 'hl/thm/arith/MULT_AC_2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lor_lnot_diag'#@#variant 'hl/thm/calc_int/REAL_ADD_RINV_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_nonneg_cancel_r'#@#variant 'hl/thm/int/INT_LE_MUL_EQ_1'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_le' 'hl/thm/int/INT_OF_NUM_GE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_lt_mono'#@#variant 'hl/thm/Library/analysis/REAL_LE_MUL2V_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_even_2'#@#variant 'hl/thm/nums/ZERO_DEF_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_min_l' 'hl/thm/int/INT_MIN_MIN_/0'
0. 'coq/Coq_Arith_Gt_gt_Sn_O' 'hl/thm/Multivariate/transcendentals/ATN_BOUNDS_/1'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_inv_norm' 'hl/thm/Multivariate/transcendentals/REAL_SIN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_divide_mono_l' 'hl/thm/Library/integer/INT_DIVIDES_MUL_L_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_divide_mono_l' 'hl/thm/realax/NADD_MUL_WELLDEF_LEMMA_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_lt_1_2' 'hl/thm/Multivariate/transcendentals/PI2_BOUNDS_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_min_distr' 'hl/thm/Library/transc/REAL_EXP_SUB_'
0. 'coq/Coq_ZArith_Znat_N2Z_is_nonneg'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_add_lt_sub_r' 'hl/thm/int/INT_LT_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_pos' 'hl/thm/int/INT_SGN_INEQS_3'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_sqrt' 'hl/thm/Multivariate/complexes/CX_INV_'#@#variant
0. 'coq/Coq_ZArith_Zgcd_alt_fibonacci_pos'#@#variant 'hl/thm/Library/floor/RATIONAL_NUM_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_shuffle3' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_AC_2'
0. 'coq/Coq_Bool_Bool_orb_false_l' 'hl/thm/arith/ADD_CLAUSES_0'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_id' 'hl/thm/Complex/complexnumbers/complex_tybij_1'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_lt_mono_l_iff' 'hl/thm/Library/integer/INT_DIVIDES_RMUL2_EQ_'#@#variant
0. 'coq/Coq_ZArith_Zpow_facts_Zpower_pos_pos'#@#variant 'hl/thm/int/INT_POW_LT_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_le_lin'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_LT_X_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_clearbit_spec_prime'#@#variant 'hl/thm/realax/real_div_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_power_norm' 'hl/thm/Library/floor/INTEGER_CLOSED_4'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_pos'#@#variant 'hl/thm/Multivariate/vectors/SQRT_LE_0_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zsucc_lt_compat' 'hl/thm/Library/transc/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_ZArith_Znumtheory_not_prime_0' 'hl/thm/Library/integer/INT_PRIME_0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div2_neg' 'hl/thm/calc_num/ARITH_60'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_0_mul_prime'#@#variant 'hl/thm/arith/ODD_MULT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_nge' 'hl/thm/realarith/REAL_NOT_LT_'
0. 'coq/Coq_Reals_ROrderedType_ROrder_not_gt_le' 'hl/thm/int/INT_LTE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_divide_mono_r' 'hl/thm/Library/integer/INT_DIVIDES_MUL_R_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_pos'#@#variant 'hl/thm/Library/pratt/PHI_LOWERBOUND_1_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_r' 'hl/thm/realax/HREAL_LE_MUL_RCANCEL_IMP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_add_r' 'hl/thm/int/INT_MAX_MAX_/0'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lxor_nilpotent' 'hl/thm/real/REAL_SUB_REFL_'#@#variant
0. 'coq/Coq_Arith_Plus_le_plus_l' 'hl/thm/arith/LE_ADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_trichotomy' 'hl/thm/Library/prime/LESS_LESS_CASES_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_involutive' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_lt_mono_r'#@#variant 'hl/thm/real/REAL_LE_LMUL_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_le_mono' 'hl/thm/arith/FACT_MONO_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_eq_cases' 'hl/thm/int/INT_LE_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_diag' 'hl/thm/real/REAL_MIN_ACI_3'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_pred' 'hl/thm/Complex/complex_transc/CX_CCOS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_1_l'#@#variant 'hl/thm/realax/REAL_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_add_lt_sub_r' 'hl/thm/Library/analysis/SUB_LEFT_GREATER_EQ_'
0. 'coq/Coq_NArith_BinNat_N_min_glb_lt' 'hl/thm/Complex/cpoly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_0_sub'#@#variant 'hl/thm/realarith/REAL_SUB_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_lteq' 'hl/thm/arith/LE_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lcm_eq_0' 'hl/thm/int/INT_ENTIRE_'#@#variant
0. 'coq/Coq_Reals_Rpower_ln_exp' 'hl/thm/Library/transc/LN_EXP_'
0. 'coq/Coq_PArith_BinPos_Pos_add_succ_r' 'hl/thm/calc_int/REAL_MUL_RNEG_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_nle_gt' 'hl/thm/int/INT_NOT_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_mod_idemp_r' 'hl/thm/arith/MOD_MULT_RMOD_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_0_l' 'hl/thm/arith/ADD_CLAUSES_0'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_gt_lt_iff' 'hl/thm/realax/real_ge_'
0. 'coq/Coq_Arith_PeanoNat_Nat_pred_le_mono' 'hl/thm/Library/transc/ATN_MONO_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_eq_0' 'hl/thm/int/INT_ENTIRE_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_diag' 'hl/thm/int/INT_MAX_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_le_compat_r' 'hl/thm/realax/NADD_LE_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_pos_l'#@#variant 'hl/thm/real/REAL_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lxor_eq_0_iff' 'hl/thm/int/INT_SUB_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_lor'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_MUL_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_pos'#@#variant 'hl/thm/Library/transc/REAL_EXP_LT_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pred_le_mono' 'hl/thm/arith/FACT_MONO_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_inj_wd' 'hl/thm/real/REAL_EQ_INV2_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_0_l' 'hl/thm/arith/MULT_CLAUSES_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_pos' 'hl/thm/calc_num/ARITH_72'
0. 'coq/Coq_Arith_EqNat_eq_eq_nat' 'hl/thm/arith/EQ_IMP_LE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_min_distr_l' 'hl/thm/arith/EXP_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_le_mono_r_iff'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LT_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_le_mono' 'hl/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_nlt' 'hl/thm/int/INT_NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_opp_r' 'hl/thm/realax/real_div_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_involutive' 'hl/thm/calc_int/REAL_NEG_NEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lxor_0_l' 'hl/thm/realax/HREAL_ADD_LID_'#@#variant
0. 'coq/Coq_Reals_Raxioms_Rplus_lt_compat_l' 'hl/thm/realax/TREAL_LE_LADD_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_sub_triangle' 'hl/thm/real/REAL_SUB_ABS_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_le_mono' 'hl/thm/Multivariate/transcendentals/ATN_MONO_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_factor_r' 'hl/thm/int/INT_MAX_MAX_/1'
0. 'coq/Coq_Reals_ROrderedType_ROrder_TO_le_lteq' 'hl/thm/int/INT_LE_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_ngt' 'hl/thm/int/INT_NOT_LT_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_succ' 'hl/thm/int/int_neg_th_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_le_mono' 'hl/thm/realax/NADD_INV_WELLDEF_'
0. 'coq/Coq_NArith_BinNat_N_clearbit_spec_prime'#@#variant 'hl/thm/int/INT_SUB_'
0. 'coq/Coq_fourier_Fourier_util_Rfourier_lt'#@#variant 'hl/thm/real/REAL_LT_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_0_r' 'hl/thm/arith/ADD1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_nonneg_pos'#@#variant 'hl/thm/int/INT_LET_ADD_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_add_r' 'hl/thm/Library/prime/DIVIDES_SUB_'
0. 'coq/Coq_Arith_Min_le_min_l' 'hl/thm/Library/analysis/SUB_LESS_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_divide_mul_r' 'hl/thm/Library/prime/DIVIDES_LMUL_'
0. 'coq/Coq_ZArith_Znat_Z2N_inj_div2' 'hl/thm/Multivariate/transcendentals/CX_ATN_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_succ_r' 'hl/thm/arith/LE_1'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mod_small' 'hl/thm/arith/MOD_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_0_succ' 'hl/thm/Multivariate/transcendentals/ATN_BOUNDS_/0'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_pos'#@#variant 'hl/thm/Multivariate/vectors/SQRT_LT_0_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_min_le_compat_r' 'hl/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_odd_0' 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_0' 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_min_le_compat_r' 'hl/thm/realax/NADD_LE_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_lt_mono_l' 'hl/thm/arith/LT_ADD_LCANCEL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_1' 'hl/thm/nums/BIT0_DEF_0'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_min_l' 'hl/thm/Library/analysis/SUB_LESS_EQ_'
0. 'coq/Coq_Reals_Rbasic_fun_Rmin_glb_lt' 'hl/thm/Library/integer/INT_DIVIDES_SUB_'
0. 'coq/Coq_NArith_BinNat_N_mul_divide_mono_r' 'hl/thm/arith/EXP_MONO_LE_IMP_'
0. 'coq/Coq_ZArith_BinInt_Z_pow_le_mono_r'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div2_succ_double' 'hl/thm/arith/PRE_1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_glb_lt_iff' 'hl/thm/int/INT_LT_MIN_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_pos'#@#variant 'hl/thm/Library/floor/RATIONAL_NEG_EQ_'
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_pos'#@#variant 'hl/thm/real/REAL_SGN_INEQS_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_le_compat_l' 'hl/thm/realax/TREAL_LE_LADD_IMP_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_quot2' 'hl/thm/Multivariate/transcendentals/CX_SIN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_cancel_r' 'hl/thm/arith/EQ_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_quot_mul' 'hl/thm/Complex/complexnumbers/COMPLEX_DIV_RMUL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_divide_iff' 'hl/thm/int/INT_LT_MIN_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_shuffle3' 'hl/thm/calc_int/REAL_ADD_AC_2'
0. 'coq/Coq_QArith_Qcanon_Qcnot_le_lt' 'hl/thm/arith/LET_CASES_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_nonneg_nonpos'#@#variant 'hl/thm/real/REAL_NEG_GE0_'#@#variant
0. 'coq/Coq_ZArith_Zpow_facts_Zpower_pos_1_l'#@#variant 'hl/thm/int/INT_POW_ONE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_0_l' 'hl/thm/realax/NADD_LE_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_lub_lt_iff' 'hl/thm/int/INT_MAX_LE_'
0. 'coq/Coq_ZArith_Zorder_Zmult_le_compat_l'#@#variant 'hl/thm/int/INT_LE_LMUL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_shiftl_opp_r' 'hl/thm/int/INT_SUB_RNEG_'
0. 'coq/Coq_Arith_PeanoNat_Nat_div_1_r' 'hl/thm/arith/SUB_0'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_sqrt' 'hl/thm/Multivariate/transcendentals/CX_SIN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_le_compat_l' 'hl/thm/realax/NADD_MUL_WELLDEF_LEMMA_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_0_l' 'hl/thm/int/INT_MUL_LID_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_xO_pred_double' 'hl/thm/calc_num/ARITH_17'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_le_iff' 'hl/thm/real/REAL_MIN_LE_'
0. 'coq/Coq_Bool_Bool_andb_negb_r' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_RINV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div_0_l' 'hl/thm/arith/DIV_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_succ_le' 'hl/thm/Library/floor/FLOOR_DOUBLE_/0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_refl' 'hl/thm/realax/REAL_LE_REFL_'
0. 'coq/Coq_fourier_Fourier_util_Rfourier_lt'#@#variant 'hl/thm/Library/analysis/REAL_LT_LMUL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_odd_opp' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_CNJ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_le_incl' 'hl/thm/realax/TREAL_EQ_IMP_LE_'#@#variant
0. 'coq/Coq_Arith_Mult_mult_le_compat_r' 'hl/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_l' 'hl/thm/Library/integer/INT_DIVIDES_MUL_L_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_log2' 'hl/thm/Complex/complexnumbers/CX_INV_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_pos'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_POS_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_lcm_l' 'hl/thm/arith/LE_ADD_'
0. 'coq/Coq_Reals_Raxioms_Rmult_lt_compat_l'#@#variant 'hl/thm/real/REAL_LE_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_pred_l' 'hl/thm/int/INT_MUL_LNEG_'
0. 'coq/Coq_ZArith_Znat_nat_N_Z' 'hl/thm/int/int_of_num_'
0. 'coq/Coq_Reals_RIneq_Rmult_le_compat_l'#@#variant 'hl/thm/Library/analysis/REAL_LT_LMUL_IMP_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sub_le_mono_r' 'hl/thm/Library/analysis/LESS_MONO_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_pos_cancel_r'#@#variant 'hl/thm/Library/floor/INTEGER_ADD_EQ_1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_nle_gt' 'hl/thm/arith/NOT_LT_'
0. 'coq/Coq_QArith_Qminmax_Q_min_glb_iff' 'hl/thm/real/REAL_LT_MIN_'
0. 'coq/Coq_ZArith_Zeven_Zeven_pred' 'hl/thm/Library/pocklington/PHI_LOWERBOUND_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_factor_l' 'hl/thm/real/REAL_MAX_MAX_/0'
0. 'coq/Coq_ZArith_BinInt_Z_mul_opp_l' 'hl/thm/int/INT_NEG_LMUL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_refl' 'hl/thm/realax/NADD_LE_REFL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_0_l' 'hl/thm/int/INT_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_sub_succ_r' 'hl/thm/arith/SUB_1'
0. 'coq/Coq_ZArith_BinInt_Z_abs_sgn' 'hl/thm/Library/floor/FLOOR_FRAC_/3'
0. 'coq/Coq_NArith_BinNat_N_pow_le_mono_l' 'hl/thm/Library/integer/INT_DIVIDES_MUL_R_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_2_r'#@#variant 'hl/thm/arith/EXP_2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_succ_r' 'hl/thm/arith/ADD_SUC_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_double' 'hl/thm/Multivariate/transcendentals/CX_TAN_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_le_lt_mono' 'hl/thm/arith/LET_ADD2_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_divide_mono_r' 'hl/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_pos'#@#variant 'hl/thm/calc_num/ARITH_40'
0. 'coq/Coq_NArith_BinNat_N_lt_le_trans' 'hl/thm/realarith/REAL_LTE_TRANS_'
0. 'coq/Coq_ZArith_BinInt_Z_divide_Zpos' 'hl/thm/int/int_le_'
0. 'coq/Coq_ZArith_BinInt_Z_lnot_lxor_r' 'hl/thm/arith/ADD_SUC_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_le_incl' 'hl/thm/realax/NADD_EQ_IMP_LE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_le_mono_l' 'hl/thm/Library/analysis/LESS_MONO_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_le_compat_r' 'hl/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_le_compat_r' 'hl/thm/Library/prime/DIVIDES_MUL_R_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_le_mono' 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_double' 'hl/thm/Multivariate/transcendentals/CX_COS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_mod_idemp_l' 'hl/thm/arith/MOD_EXP_MOD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_refl' 'hl/thm/realax/NADD_EQ_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lcm_1_l'#@#variant 'hl/thm/realax/REAL_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_irrefl' 'hl/thm/int/INT_LT_REFL_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_div2' 'hl/thm/Multivariate/transcendentals/CX_COS_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sub_add_distr' 'hl/thm/arith/EXP_MULT_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_1' 'hl/thm/arith/PRE_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_opp' 'hl/thm/Library/transc/SIN_NEG_'
0. 'coq/Coq_QArith_QArith_base_Qplus_lt_r' 'hl/thm/realax/HREAL_LE_ADD_LCANCEL_'
0. 'coq/Coq_Reals_Rminmax_R_OT_lt_total' 'hl/thm/int/INT_LT_TOTAL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_gt_lt_iff' 'hl/thm/realax/real_ge_'
0. 'coq/Coq_NArith_BinNat_N_add_1_l'#@#variant 'hl/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_square_nonneg'#@#variant 'hl/thm/int/INT_LE_SQUARE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_1_l'#@#variant 'hl/thm/arith/LE_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_refl' 'hl/thm/realax/NADD_LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_l' 'hl/thm/realax/TREAL_LE_LADD_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_pos'#@#variant 'hl/thm/Library/pocklington/EVEN_PHI_'#@#variant
0. 'coq/Coq_Reals_RIneq_Ropp_0_ge_le_contravar'#@#variant 'hl/thm/Library/pratt/PHI_LOWERBOUND_1_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_diag' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div2_nonneg' 'hl/thm/int/INT_SGN_INEQS_3'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_land_lor_distr_r' 'hl/thm/realax/TREAL_ADD_LDISTRIB_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_diag'#@#variant 'hl/thm/arith/BIT0_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_oppc' 'hl/thm/Multivariate/transcendentals/CX_EXP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_2' 'hl/thm/Multivariate/transcendentals/ATN_0_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ldiff_land' 'hl/thm/Complex/complexnumbers/complex_div_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_lt_lin'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_LT_X_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_inj_wd' 'hl/thm/Library/prime/CANCEL_TIMES2_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_lt_mono_l' 'hl/thm/realax/HREAL_LE_ADD_LCANCEL_'
0. 'coq/Coq_PArith_BinPos_Pos_max_lt_iff' 'hl/thm/real/REAL_LT_MAX_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_mul_l' 'hl/thm/Library/integer/INT_DIVIDES_RMUL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_mul_r' 'hl/thm/arith/EXP_MULT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_add_lt_sub_r' 'hl/thm/real/REAL_LT_SUB_RADD_'
0. 'coq/Coq_ZArith_Zorder_Zplus_gt_compat_l' 'hl/thm/realax/NADD_MUL_WELLDEF_LEMMA_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_eq_cases' 'hl/thm/realarith/REAL_LE_LT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_nle_gt' 'hl/thm/realax/real_lt_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_le_mono' 'hl/thm/Multivariate/transcendentals/ATN_MONO_LT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lnot_ones' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LINV_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_succ_r' 'hl/thm/arith/LE_1'
0. 'coq/Coq_NArith_BinNat_N_lt_le_incl' 'hl/thm/arith/LT_IMP_LE_'
0. 'coq/Coq_QArith_QOrderedType_QOrder_le_lt_trans' 'hl/thm/int/INT_LET_TRANS_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_iff' 'hl/thm/Complex/complexnumbers/CX_INJ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_odd_1'#@#variant 'hl/thm/nums/ZERO_DEF_'
0. 'coq/Coq_ZArith_Zorder_Zplus_lt_compat_r' 'hl/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_nonneg_l'#@#variant 'hl/thm/real/REAL_LT_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_ge_cases' 'hl/thm/int/INT_LE_TOTAL_'
0. 'coq/Coq_QArith_QArith_base_Qmult_le_l'#@#variant 'hl/thm/real/REAL_LE_LMUL_EQ_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_gt_cases' 'hl/thm/int/INT_LTE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_lt_mono_nonneg'#@#variant 'hl/thm/real/REAL_LT_MUL2_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_min_l' 'hl/thm/arith/MOD_LT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_refl' 'hl/thm/Complex/cpoly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_neq' 'hl/thm/real/REAL_LT_IMP_NE_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_le_compat_r' 'hl/thm/arith/EXP_MONO_LE_IMP_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_lt_mono_l' 'hl/thm/real/REAL_LE_LADD_'
0. 'coq/Coq_Arith_Plus_lt_plus_trans' 'hl/thm/Library/prime/DIVIDES_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_mod' 'hl/thm/arith/MOD_MULT_MOD2_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_max_lub_iff' 'hl/thm/int/INT_MAX_LT_'
0. 'coq/Coq_ZArith_BinInt_Z_max_lub_l' 'hl/thm/Library/integer/INT_DIVIDES_RMUL2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_pos'#@#variant 'hl/thm/Library/pratt/PHI_LOWERBOUND_2_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pow_lt_mono_r'#@#variant 'hl/thm/Library/analysis/REAL_LT_LMUL_IMP_'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tred_factor5_stable' 'hl/thm/Library/multiplicative/MULTIPLICATIVE_SIGMA_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_inj_wd' 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_NEG2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lor_diag' 'hl/thm/real/REAL_MAX_ACI_3'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_le_mono_l' 'hl/thm/arith/LT_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_le_compat_r' 'hl/thm/realax/NADD_LE_RMUL_'
0. 'coq/Coq_ZArith_BinInt_Z_lnot_involutive' 'hl/thm/Complex/complexnumbers/COMPLEX_INV_INV_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftl_1_l'#@#variant 'hl/thm/int/INT_NEG_MINUS1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lcm_eq_0' 'hl/thm/realarith/REAL_ENTIRE_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_eq_mul_0' 'hl/thm/arith/MULT_EQ_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_0_l' 'hl/thm/int/INT_ADD_LID_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_succ'#@#variant 'hl/thm/int/INT_OF_NUM_SUC_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_opp' 'hl/thm/Library/transc/ATN_NEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_mul_below' 'hl/thm/real/REAL_SUB_ABS_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_divide_mono_r' 'hl/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_odd_2'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_nonneg'#@#variant 'hl/thm/real/REAL_LE_INV_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_divide_mono_l' 'hl/thm/int/INT_LE_LADD_IMP_'
0. 'coq/Coq_NArith_BinNat_N_div_lt_upper_bound' 'hl/thm/arith/LE_LDIV_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_shiftr_opp_r' 'hl/thm/int/INT_SUB_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_succ' 'hl/thm/int/int_abs_th_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_refl' 'hl/thm/Library/integer/INT_DIVIDES_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_odd_2'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_lt_iff' 'hl/thm/int/INT_MIN_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_nle_gt' 'hl/thm/int/INT_NOT_LT_'
0. 'coq/Coq_PArith_BinPos_Pos_min_glb_lt' 'hl/thm/Library/integer/INT_DIVIDES_ADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_le_mono' 'hl/thm/arith/FACT_MONO_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_pos'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_POS_LT_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_le_compat_l' 'hl/thm/Library/prime/DIVIDES_MUL_L_'
0. 'coq/Coq_NArith_BinNat_N_sub_le_mono_r' 'hl/thm/Library/prime/DIVIDES_EXP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_pos'#@#variant 'hl/thm/calc_num/ARITH_44'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_lt_mono_r' 'hl/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_ZArith_Zeven_Zeven_div2'#@#variant 'hl/thm/Library/transc/EXP_LN_'#@#variant
0. 'coq/Coq_Reals_Rtrigo_def_cos_sym' 'hl/thm/Multivariate/vectors/SQRT_WORKS_GEN_/0'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_pos_l'#@#variant 'hl/thm/Library/analysis/REAL_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_max_distr' 'hl/thm/realax/NADD_LDISTRIB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_lxor_r' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_RMUL_'
0. 'coq/Coq_Lists_List_rev_length' 'hl/thm/Multivariate/vectors/INFNORM_NEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_le_mono_r' 'hl/thm/realax/NADD_LE_RADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_pos'#@#variant 'hl/thm/Multivariate/complexes/REAL_INV_EQ_'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qcplus_opp_r'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_RINV_'#@#variant
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_bounded/0'#@#variant 'hl/thm/real/REAL_LE_POW2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_1_r'#@#variant 'hl/thm/arith/ADD1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_add_le_sub_r' 'hl/thm/int/INT_LE_SUB_RADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_ge_cases' 'hl/thm/realax/REAL_LE_TOTAL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_land_m1_l'#@#variant 'hl/thm/int/INT_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_land_diag' 'hl/thm/int/INT_MAX_ACI_3'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_l' 'hl/thm/arith/MOD_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_refl' 'hl/thm/realax/REAL_LE_REFL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_lt_mono_l' 'hl/thm/real/REAL_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_land' 'hl/thm/Library/transc/REAL_EXP_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_ngt' 'hl/thm/int/INT_NOT_LT_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_l' 'hl/thm/realax/NADD_LE_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_lor' 'hl/thm/Library/transc/REAL_EXP_SUB_'
0. 'coq/Coq_ZArith_BinInt_Z_add_lnot_diag'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_RINV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lxor_0_l' 'hl/thm/int/INT_MUL_LID_'#@#variant
0. 'coq/Coq_Reals_Ratan_Datan_seq_pos'#@#variant 'hl/thm/Library/floor/RATIONAL_POW_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_add_distr' 'hl/thm/Library/prime/EXP_EXP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_factor_r' 'hl/thm/arith/LE_ADDR_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_div2' 'hl/thm/Multivariate/transcendentals/CX_ATN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_succ_r' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RNEG_'
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_2' 'hl/thm/real/REAL_ABS_0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_pos'#@#variant 'hl/thm/int/INT_ABS_NZ_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_eq_cases' 'hl/thm/int/INT_LE_LT_'
0. 'coq/Coq_Reals_Exp_prop_div2_double'#@#variant 'hl/thm/arith/PRE_1'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_glb' 'hl/thm/Complex/cpoly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_nonneg_r'#@#variant 'hl/thm/real/REAL_LT_RMUL_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rge_refl' 'hl/thm/realax/TREAL_LE_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_le_lin'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_pos'#@#variant 'hl/thm/Library/floor/RATIONAL_NEG_EQ_'
0. 'coq/Coq_ZArith_BinInt_Z_min_le_iff' 'hl/thm/int/INT_MIN_LT_'
0. 'coq/Coq_Reals_Rtrigo1_SIN_bound/1' 'hl/thm/Multivariate/transcendentals/ATN_BOUNDS_/1'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lor_assoc' 'hl/thm/realax/NADD_MUL_ASSOC_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_1_l' 'hl/thm/arith/ADD_CLAUSES_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_neq_0_succ' 'hl/thm/Multivariate/transcendentals/REAL_EXP_NZ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_opp_l' 'hl/thm/int/INT_MUL_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_total' 'hl/thm/Library/prime/LESS_LESS_CASES_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_id' 'hl/thm/real/REAL_MAX_ACI_3'
0. 'coq/Coq_QArith_QArith_base_Qmult_assoc' 'hl/thm/realax/TREAL_ADD_ASSOC_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_pred_r' 'hl/thm/real/REAL_NEG_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pred_sub'#@#variant 'hl/thm/arith/ADD1_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_nle' 'hl/thm/realarith/REAL_NOT_LT_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_pos'#@#variant 'hl/thm/calc_num/ARITH_44'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_0_l' 'hl/thm/realax/REAL_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_le_iff' 'hl/thm/int/INT_MIN_LT_'
0. 'coq/Coq_ZArith_Zlogarithm_log_near_correct1'#@#variant 'hl/thm/Library/floor/RATIONAL_NUM_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_succ_pred_double' 'hl/thm/nums/BIT1_DEF_'
0. 'coq/Coq_Reals_Rbasic_fun_Rmin_r' 'hl/thm/Library/prime/INDEX_TRIVIAL_BOUND_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_succ' 'hl/thm/arith/PRE_1'
0. 'coq/Coq_NArith_Nnat_N2Nat_id' 'hl/thm/Multivariate/complexes/RE_CX_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_divide_iff' 'hl/thm/real/REAL_LT_MIN_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_pos_cancel_r'#@#variant 'hl/thm/Library/analysis/REAL_LT_RDIV_0_'#@#variant
0. 'coq/Coq_ZArith_Zeven_Zodd_pred' 'hl/thm/Multivariate/transcendentals/LOG_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_le_compat_r' 'hl/thm/Library/prime/LESS_MONO_ADD_'
0. 'coq/Coq_QArith_QArith_base_Qmult_le_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LE_EQ_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_max_le_compat_r' 'hl/thm/realax/HREAL_LE_MUL_RCANCEL_IMP_'
0. 'coq/Coq_NArith_BinNat_N_lnot_ones' 'hl/thm/int/INT_ADD_LINV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_succ_l' 'hl/thm/Multivariate/transcendentals/REAL_INV_RPOW_'
0. 'coq/Coq_QArith_QArith_base_Qle_refl' 'hl/thm/realax/NADD_LE_REFL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_glb' 'hl/thm/Library/integer/INT_DIVIDES_SUB_'
0. 'coq/Coq_PArith_BinPos_Pos_max_lub_r' 'hl/thm/Library/integer/INT_DIVIDES_LMUL2_'
0. 'coq/Coq_ZArith_BinInt_Z_succ_pred' 'hl/thm/Multivariate/transcendentals/CCOS_CACS_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sub_lt_mono_r' 'hl/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_NArith_BinNat_N_max_le_iff' 'hl/thm/real/REAL_LT_MAX_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_lt_add_l' 'hl/thm/Library/prime/DIVIDES_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_le_mono' 'hl/thm/realax/NADD_INV_WELLDEF_'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_pos'#@#variant 'hl/thm/Library/transc/LN_POS_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_shuffle3' 'hl/thm/realax/HREAL_ADD_AC_2'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_max_l' 'hl/thm/realax/HREAL_LE_ADD_'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_iff' 'hl/thm/realax/HREAL_OF_NUM_EQ_'
0. 'coq/Coq_NArith_BinNat_N_mul_nonneg_cancel_r'#@#variant 'hl/thm/real/REAL_LE_MUL_EQ_1'#@#variant
0. 'coq/Coq_NArith_BinNat_N_min_glb_lt' 'hl/thm/Library/integer/INT_DIVIDES_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_neg_iff'#@#variant 'hl/thm/real/REAL_SGN_EQ_1'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_log2_pos'#@#variant 'hl/thm/Library/pratt/PHI_LOWERBOUND_1_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_m1'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_lt_lin' 'hl/thm/Library/transc/LN_LT_X_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_even_0' 'hl/thm/Multivariate/complexes/IM_II_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_divide_mono_l' 'hl/thm/realax/TREAL_LE_LADD_IMP_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_add_r' 'hl/thm/Library/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_double'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_shuffle3' 'hl/thm/calc_int/REAL_ADD_AC_2'
0. 'coq/Coq_ZArith_BinInt_Z_lnot_lxor_l' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_LMUL_'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Topp_opp_stable' 'hl/thm/Library/multiplicative/MULTIPLICATIVE_SIGMA_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_pred_l' 'hl/thm/Library/floor/FLOOR_/1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lor_0_l' 'hl/thm/int/INT_ADD_LID_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_gt' 'hl/thm/int/INT_OF_NUM_GE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_even_1'#@#variant 'hl/thm/Multivariate/complexes/IM_II_'#@#variant
0. 'coq/Coq_NArith_Ndist_Nplength_ultra' 'hl/thm/realax/NADD_OF_NUM_MUL_'
0. 'coq/Coq_QArith_Qround_Zdiv_Qdiv' 'hl/thm/int/int_mul_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_incr' 'hl/thm/Complex/complex_transc/CX_CCOS_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_comm' 'hl/thm/realax/TREAL_ADD_SYM_'#@#variant
0. 'coq/Coq_QArith_Qminmax_Q_min_le_compat_l' 'hl/thm/Library/integer/INT_DIVIDES_MUL_L_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_lt_mono_nonneg'#@#variant 'hl/thm/Library/analysis/REAL_LT_MUL2_ALT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_1_r' 'hl/thm/arith/SUB_0_/1'
0. 'coq/Coq_Reals_Rfunctions_tech_pow_Rmult' 'hl/thm/Complex/cpoly/poly_exp_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_gt_cases' 'hl/thm/arith/LTE_CASES_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_eq_mul_1'#@#variant 'hl/thm/arith/MULT_EQ_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_divide_mono_l' 'hl/thm/realax/TREAL_LE_LADD_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_succ_inj_wd' 'hl/thm/int/INT_EQ_NEG2_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lcm_eq_0' 'hl/thm/int/INT_ENTIRE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_lcm_l' 'hl/thm/int/INT_MAX_MAX_/0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_eq_mul_0' 'hl/thm/int/INT_ENTIRE_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_succ_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_lt_mono_pos_r'#@#variant 'hl/thm/real/REAL_LE_RMUL_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div_mul' 'hl/thm/Complex/complexnumbers/COMPLEX_DIV_RMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_lub_lt_iff' 'hl/thm/real/REAL_MAX_LT_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_add_r' 'hl/thm/arith/LE_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_1_l'#@#variant 'hl/thm/realax/HREAL_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_lcm_l' 'hl/thm/arith/LE_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_refl' 'hl/thm/realax/REAL_LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_pos_neg'#@#variant 'hl/thm/int/INT_NEG_GT0_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_0_r' 'hl/thm/realax/HREAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pow_mul_r' 'hl/thm/arith/EXP_MULT_'
0. 'coq/Coq_PArith_BinPos_Pos_min_lt_iff' 'hl/thm/real/REAL_MIN_LT_'
0. 'coq/Coq_Bool_Bool_negb_false_iff' 'hl/thm/Multivariate/transcendentals/REAL_EXP_EQ_1_'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Topp_one_stable' 'hl/thm/Library/multiplicative/MULTIPLICATIVE_PHI_'
0. 'coq/Coq_NArith_BinNat_N_max_le_compat_l' 'hl/thm/int/INT_LE_LADD_IMP_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_gcd_divide_l' 'hl/thm/int/INT_MIN_MIN_/0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_pos' 'hl/thm/calc_num/ARITH_80'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_opp' 'hl/thm/int/INT_ABS_NEG_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_divide' 'hl/thm/real/REAL_OF_NUM_GE_'
0. 'coq/Coq_Reals_RIneq_Rplus_ge_compat_r' 'hl/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_1_mul_pos'#@#variant 'hl/thm/realarith/REAL_LTE_ADD_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mod_1_r'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_0_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mod_opp_opp' 'hl/thm/Library/analysis/ABS_DIV_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_COS_bound/0' 'hl/thm/arith/FACT_LT_'
0. 'coq/Coq_Reals_Rtrigo1_sin_lb_gt_0'#@#variant 'hl/thm/Multivariate/transcendentals/TAN_POS_PI2_'#@#variant
0. 'coq/Coq_ZArith_Zdiv_Zmod_0_r' 'hl/thm/int/INT_MUL_RZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_pos'#@#variant 'hl/thm/calc_num/ARITH_40'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_nge' 'hl/thm/realarith/REAL_NOT_LT_'
0. 'coq/Coq_Strings_Ascii_ascii_nat_embedding' 'hl/thm/Multivariate/vectors/LIFT_DROP_1'#@#variant
0. 'coq/Coq_Reals_Rfunctions_powerRZ_R1' 'hl/thm/Complex/complexnumbers/COMPLEX_POW_ONE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mod_le' 'hl/thm/arith/DIV_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftr_opp_r' 'hl/thm/Complex/complexnumbers/complex_div_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_succ_r' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RNEG_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_le_mono_r' 'hl/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_NArith_BinNat_N_lcm_eq_0' 'hl/thm/real/REAL_DIV_EQ_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_lt_trans' 'hl/thm/realarith/REAL_LET_TRANS_'
0. 'coq/Coq_NArith_BinNat_N_le_neq' 'hl/thm/realarith/REAL_LT_LE_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_alt_dichotomy' 'hl/thm/arith/LE_CASES_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_le_incl' 'hl/thm/realax/TREAL_EQ_IMP_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_add_r' 'hl/thm/Library/integer/INT_DIVIDES_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_1_succ' 'hl/thm/Multivariate/transcendentals/ATN_BOUNDS_/0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_lub_r' 'hl/thm/Library/integer/INT_DIVIDES_LMUL2_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_refl' 'hl/thm/realax/REAL_LE_REFL_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_odd' 'hl/thm/int/int_of_num_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_ge' 'hl/thm/int/INT_OF_NUM_GE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_lt_mono'#@#variant 'hl/thm/Library/analysis/REAL_LT_MUL2_ALT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_odd_0' 'hl/thm/Multivariate/complexes/IM_II_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lor_diag' 'hl/thm/real/REAL_MAX_ACI_3'
0. 'coq/Coq_Arith_Factorial_fact_le' 'hl/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_comm' 'hl/thm/realax/NADD_MUL_SYM_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pow_mul_l' 'hl/thm/realax/NADD_RDISTRIB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_divide_mono_r' 'hl/thm/Library/prime/DIVIDES_EXP_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_nge' 'hl/thm/arith/NOT_LE_'
0. 'coq/Coq_Sets_Classical_sets_Complement_Complement' 'hl/thm/Multivariate/vectors/VECTOR_NEG_NEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_shuffle3' 'hl/thm/real/REAL_MUL_AC_2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_opp_r' 'hl/thm/int/INT_MUL_RNEG_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_pos' 'hl/thm/int/INT_SGN_INEQS_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_diag' 'hl/thm/Library/analysis/REAL_DOUBLE_'#@#variant
0. 'coq/Coq_FSets_FMapPositive_append_neutral_l' 'hl/thm/int/INT_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pred_le_mono' 'hl/thm/realax/NADD_INV_WELLDEF_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_divide_mono_l' 'hl/thm/real/REAL_LT_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div2_nonneg' 'hl/thm/int/INT_SGN_INEQS_3'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_odd_0' 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qcle_refl' 'hl/thm/Multivariate/misc/GE_REFL_'
0. 'coq/Coq_Reals_R_sqrt_sqrt_mult'#@#variant 'hl/thm/Library/transc/SQRT_DIV_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qplus_lt_r' 'hl/thm/real/REAL_LE_LADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_succ_l' 'hl/thm/Multivariate/transcendentals/REAL_INV_RPOW_'
0. 'coq/Coq_NArith_BinNat_N_min_le_compat_l' 'hl/thm/real/REAL_LT_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pred_div2_up' 'hl/thm/int/int_neg_th_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_nle_gt' 'hl/thm/int/INT_NOT_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftl_shiftl' 'hl/thm/arith/EXP_MULT_'
0. 'coq/Coq_ZArith_BinInt_Z_log2_pos'#@#variant 'hl/thm/Library/transc/REAL_EXP_LT_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_move_r' 'hl/thm/real/REAL_EQ_SUB_RADD_'
0. 'coq/Coq_NArith_BinNat_N_lt_1_mul_pos'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_LT_1_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lt_le_incl' 'hl/thm/realarith/REAL_LT_IMP_LE_'
0. 'coq/Coq_QArith_Qpower_Qpower_pos_positive'#@#variant 'hl/thm/int/INT_POW_LT_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_setbit_spec_prime'#@#variant 'hl/thm/Multivariate/complexes/complex_div_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_0_l' 'hl/thm/int/INT_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_id' 'hl/thm/int/INT_MAX_ACI_3'
0. 'coq/Coq_Bool_Bool_eqb_negb1' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LINV_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_le_incl' 'hl/thm/realax/NADD_EQ_IMP_LE_'
0. 'coq/Coq_NArith_BinNat_N_le_min_l' 'hl/thm/Library/analysis/SUB_LESS_EQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lor_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_neg_pos'#@#variant 'hl/thm/real/REAL_NEG_LT0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_eq_1' 'hl/thm/arith/ADD_EQ_0_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lcm_0_r' 'hl/thm/Library/prime/INDEX_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_asymm' 'hl/thm/int/INT_LT_ANTISYM_'
0. 'coq/Coq_QArith_Qminmax_Q_min_glb_lt' 'hl/thm/Library/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zle_not_lt' 'hl/thm/int/INT_LET_ANTISYM_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_succ' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_INV_'
0. 'coq/Coq_PArith_BinPos_Pos_max_lub_l' 'hl/thm/Library/prime/DIVIDES_RMUL2_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div2_nonneg'#@#variant 'hl/thm/Multivariate/vectors/SQRT_LT_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_divide/1' 'hl/thm/Library/prime/INDEX_TRIVIAL_BOUND_'
0. 'coq/Coq_Reals_RIneq_Rle_not_lt' 'hl/thm/int/INT_LTE_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_le_mono_l' 'hl/thm/arith/LE_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_lt_lin'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_LE_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div_mul' 'hl/thm/real/REAL_DIV_RMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LE_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_succ' 'hl/thm/Multivariate/transcendentals/CX_SIN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_square_spec' 'hl/thm/arith/MULT_2_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qeq_refl' 'hl/thm/realax/NADD_LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_le_lin'#@#variant 'hl/thm/Library/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rplus_le_compat_l' 'hl/thm/Library/integer/INT_DIVIDES_MUL_L_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_le_mono' 'hl/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_null'#@#variant 'hl/thm/int/INT_SGN_EQ_1'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qcopp_involutive' 'hl/thm/int/INT_NEGNEG_'
0. 'coq/Coq_Reals_Rminmax_R_OT_le_lteq' 'hl/thm/realarith/REAL_LE_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_succ_l' 'hl/thm/int/INT_MUL_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_triangle' 'hl/thm/real/REAL_ABS_TRIANGLE_'
0. 'coq/Coq_ZArith_BinInt_Z_succ_inj_wd' 'hl/thm/nums/IND_SUC_INJ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_1_l'#@#variant 'hl/thm/int/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_involutive' 'hl/thm/real/REAL_SGN_REAL_SGN_'
0. 'coq/Coq_Reals_AltSeries_PI_tg_pos'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_sub' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_ADD_'
0. 'coq/Coq_NArith_BinNat_N_mul_shuffle3' 'hl/thm/Multivariate/complexes/COMPLEX_MUL_AC_2'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tred_factor4_stable' 'hl/thm/Library/multiplicative/MULTIPLICATIVE_PHI_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_Zpos' 'hl/thm/realax/TREAL_OF_NUM_LE_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lt_add_lt_sub_r' 'hl/thm/int/INT_LT_ADD_SUB_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_of_Q' 'hl/thm/Complex/complexnumbers/complex_tybij_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_le_mono_l' 'hl/thm/int/INT_LT_LADD_'
0. 'coq/Coq_QArith_Qcanon_Qcopp_involutive' 'hl/thm/Multivariate/complexes/COMPLEX_INV_INV_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_even_2'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lcm_0_r' 'hl/thm/int/INT_MUL_RZERO_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LT_'
0. 'coq/Coq_QArith_Qpower_Qpower_pos_positive'#@#variant 'hl/thm/real/REAL_POW_LE_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_neq_0_succ' 'hl/thm/Library/transc/REAL_EXP_NZ_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_land_m1_l'#@#variant 'hl/thm/realax/HREAL_ADD_LID_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_divide_mono_r' 'hl/thm/Library/integer/INT_DIVIDES_MUL_R_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_le_mono_r' 'hl/thm/realax/HREAL_LE_ADD_RCANCEL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div_mul' 'hl/thm/Complex/complexnumbers/COMPLEX_DIV_RMUL_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_1_l'#@#variant 'hl/thm/arith/ADD_CLAUSES_0'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_simpl_l' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_nonpos' 'hl/thm/real/REAL_SGN_INEQS_8'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_pow_succ_r' 'hl/thm/arith/MULT_SUC_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_refl' 'hl/thm/Library/integer/INT_DIVIDES_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_nle_gt' 'hl/thm/int/INT_NOT_LT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_total' 'hl/thm/arith/LT_CASES_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div2_succ_double' 'hl/thm/Library/transc/LN_EXP_'
0. 'coq/Coq_Reals_Ratan_atan_opp' 'hl/thm/Complex/complexnumbers/CNJ_INV_'
0. 'coq/Coq_QArith_QArith_base_Qplus_le_r' 'hl/thm/real/REAL_LT_LADD_'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tplus_permute_stable' 'hl/thm/Library/multiplicative/MULTIPLICATIVE_SIGMA_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_lxor_r' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_lor'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_DIV_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lxor_lnot_lnot' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_MUL2_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_divide' 'hl/thm/real/REAL_OF_NUM_LT_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_max_r' 'hl/thm/real/REAL_MAX_MAX_/1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_sub_le_add_r' 'hl/thm/Library/analysis/SUB_LEFT_GREATER_EQ_'
0. 'coq/Coq_PArith_BinPos_Pos_le_nlt' 'hl/thm/arith/NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_Zpos' 'hl/thm/real/REAL_OF_NUM_GT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_sgn' 'hl/thm/Library/floor/FLOOR_FRAC_/3'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_refl' 'hl/thm/realax/REAL_LE_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_div2_nonneg'#@#variant 'hl/thm/calc_num/ARITH_40'
0. 'coq/Coq_NArith_BinNat_N_mul_divide_mono_l' 'hl/thm/realax/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Reals_RIneq_Rlt_le_trans' 'hl/thm/int/INT_LTE_TRANS_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_nonneg'#@#variant 'hl/thm/Library/analysis/REAL_LE_MUL2V_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lcm_0_r' 'hl/thm/Library/prime/INDEX_0_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rplus_ge_compat_l' 'hl/thm/realax/NADD_LE_LMUL_'
0. 'coq/Coq_PArith_Pnat_SuccNat2Pos_inj_iff' 'hl/thm/int/INT_OF_NUM_EQ_'
0. 'coq/Coq_Arith_PeanoNat_Nat_succ_pred_pos'#@#variant 'hl/thm/Multivariate/transcendentals/EXP_LOG_'#@#variant
0. 'coq/Coq_Reals_RList_RList_P1' 'hl/thm/real/REAL_POW_LE_1_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_opp_r' 'hl/thm/int/INT_SUB_RNEG_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_double_spec' 'hl/thm/real/REAL_SUB_LZERO_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_pow' 'hl/thm/calc_int/REAL_MUL_LNEG_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_glb_iff' 'hl/thm/int/INT_LT_MIN_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_nonneg' 'hl/thm/int/INT_SGN_INEQS_2'#@#variant
0. 'coq/Coq_QArith_Qreduction_Qred_opp' 'hl/thm/int/INT_ABS_SGN_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_pos'#@#variant 'hl/thm/Library/pocklington/PHI_LOWERBOUND_2_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_divide_Zpos' 'hl/thm/real/REAL_OF_NUM_GT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_square_nonneg'#@#variant 'hl/thm/int/INT_LE_SQUARE_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_div2' 'hl/thm/Complex/complexnumbers/CX_NEG_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_lub_l' 'hl/thm/Library/integer/INT_DIVIDES_RMUL2_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_pow2'#@#variant 'hl/thm/Library/transc/EXP_LN_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_opp_r' 'hl/thm/Library/integer/INT_DIVIDES_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_2' 'hl/thm/int/INT_ABS_0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_add_cancel_r' 'hl/thm/Library/integer/INT_DIVIDES_ADD_REVR_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_sub_l' 'hl/thm/Library/analysis/SUB_LESS_EQ_'
0. 'coq/Coq_ZArith_Zsqrt_compat_Zsqrt_plain_is_pos'#@#variant 'hl/thm/Multivariate/transcendentals/REAL_TAN_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_le_mono_l' 'hl/thm/Library/analysis/LESS_MONO_ADD_'
0. 'coq/Coq_NArith_BinNat_N_lcm_0_r' 'hl/thm/Library/prime/INDEX_0_'#@#variant
0. 'coq/Coq_ZArith_Znat_Z2N_inj_pos' 'hl/thm/int/int_of_num_th_'
0. 'coq/Coq_Reals_Rtrigo1_cos_3PI2'#@#variant 'hl/thm/Multivariate/transcendentals/COS_PI3_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_sub_le_add_r' 'hl/thm/real/REAL_LT_ADD_SUB_'
0. 'coq/Coq_Arith_Min_min_glb' 'hl/thm/Complex/cpoly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_total' 'hl/thm/real/REAL_LT_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftl_opp_r' 'hl/thm/Complex/complexnumbers/complex_sub_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_lt_mono'#@#variant 'hl/thm/real/REAL_LT_MUL2_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_add_cancel_l' 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_ADD_LCANCEL_'
0. 'coq/Coq_Reals_RIneq_Rmult_le_compat'#@#variant 'hl/thm/Library/analysis/REAL_LT_MUL2_ALT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_pos_nonneg'#@#variant 'hl/thm/int/INT_LTE_ADD_'#@#variant
0. 'coq/Coq_QArith_Qminmax_Q_min_comm' 'hl/thm/realax/TREAL_MUL_SYM_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rplus_le_lt_0_compat'#@#variant 'hl/thm/int/INT_LET_ADD_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_eq_add_0' 'hl/thm/arith/ADD_EQ_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_le_mono' 'hl/thm/realax/NADD_INV_WELLDEF_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_odd_2'#@#variant 'hl/thm/Multivariate/complexes/RE_II_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_succ_r' 'hl/thm/arith/ADD_SUC_'
0. 'coq/Coq_Arith_Plus_plus_le_compat_r' 'hl/thm/Library/prime/LESS_MONO_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lcm_1_l'#@#variant 'hl/thm/int/INT_ADD_LID_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_comm' 'hl/thm/realax/TREAL_MUL_SYM_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_neg_xO'#@#variant 'hl/thm/Complex/complex_transc/CX_CEXP_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_id' 'hl/thm/int/INT_MIN_ACI_3'
0. 'coq/Coq_PArith_BinPos_Pos_le_antisym' 'hl/thm/Library/analysis/LESS_EQUAL_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mod_0_l' 'hl/thm/arith/MOD_0_'#@#variant
0. 'coq/Coq_Reals_Rtrigo_def_sin_antisym' 'hl/thm/Multivariate/transcendentals/CNJ_CSIN_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftr_opp_r' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_lt_add_l' 'hl/thm/Library/prime/DIVIDES_LMUL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lxor_0_l' 'hl/thm/arith/ADD_CLAUSES_0'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_lt' 'hl/thm/int/int_le_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_le_mono' 'hl/thm/Library/transc/ATN_MONO_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_lt_mono_r'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LT_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_neq_0_succ' 'hl/thm/Multivariate/transcendentals/REAL_EXP_NZ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_involutive' 'hl/thm/real/REAL_ABS_ABS_'
0. 'coq/Coq_ZArith_Zdiv_Zdiv_0_r' 'hl/thm/arith/MULT_0_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qmult_lt_r'#@#variant 'hl/thm/real/REAL_LT_RMUL_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_nonneg' 'hl/thm/Multivariate/transcendentals/ATN_BOUNDS_/0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_le_iff' 'hl/thm/real/REAL_MIN_LT_'
0. 'coq/Coq_NArith_BinNat_N_divide_factor_l' 'hl/thm/realax/HREAL_LE_ADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lcm_assoc' 'hl/thm/realax/NADD_MUL_ASSOC_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_glb' 'hl/thm/Library/integer/INT_DIVIDES_SUB_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_le_compat_r' 'hl/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_pos'#@#variant 'hl/thm/real/REAL_LT_POW2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_pos'#@#variant 'hl/thm/Multivariate/complexes/REAL_INV_EQ_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_eq_0_iff' 'hl/thm/Multivariate/transcendentals/RPOW_EQ_0_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_min_glb' 'hl/thm/Complex/cpoly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_1_r' 'hl/thm/Library/pocklington/ORDER_1_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_divide_mono_l' 'hl/thm/Library/integer/INT_DIVIDES_MUL_L_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_div2'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_LE_X_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_nonneg_l'#@#variant 'hl/thm/Library/analysis/REAL_LT_LMUL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_sub_lt_add_r' 'hl/thm/int/INT_LE_SUB_RADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pow_lt_mono_r'#@#variant 'hl/thm/real/REAL_LT_LMUL_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_r' 'hl/thm/arith/EXP_MONO_LE_IMP_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_0_l' 'hl/thm/Library/prime/DIVIDES_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_succ_inj_wd' 'hl/thm/int/INT_EQ_NEG2_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftl_1_l'#@#variant 'hl/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_id' 'hl/thm/int/INT_MIN_ACI_3'
0. 'coq/Coq_NArith_BinNat_Nplus_reg_l' 'hl/thm/realax/HREAL_ADD_LCANCEL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_glb_lt_iff' 'hl/thm/int/INT_LT_MIN_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_lt_mono_r'#@#variant 'hl/thm/int/INT_LE_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_pos'#@#variant 'hl/thm/real/REAL_LT_INV_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_move_0_r' 'hl/thm/realarith/REAL_SUB_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div2_spec'#@#variant 'hl/thm/arith/ADD1_'#@#variant
0. 'coq/Coq_Reals_RIneq_Ropp_mult_distr_l_reverse' 'hl/thm/arith/ADD_CLAUSES_2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_le_mono' 'hl/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_succ'#@#variant 'hl/thm/Library/analysis/REAL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_succ_diag_r' 'hl/thm/arith/LT_POW2_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_le_mono_pos_l'#@#variant 'hl/thm/real/REAL_LE_LMUL_EQ_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_sub_r' 'hl/thm/Library/integer/INT_DIVIDES_ADD_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_power_pos' 'hl/thm/real/REAL_POW_LT_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_oppc' 'hl/thm/Multivariate/transcendentals/CX_SIN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_le_mono_pos_l'#@#variant 'hl/thm/Library/analysis/REAL_LE_LMUL_LOCAL_'#@#variant
0. 'coq/Coq_Lists_List_rev_involutive' 'hl/thm/Multivariate/vectors/VECTOR_NEG_NEG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_land' 'hl/thm/Complex/complex_transc/CEXP_ADD_'
0. 'coq/Coq_Reals_Rtrigo1_sin_gt_0'#@#variant 'hl/thm/Multivariate/transcendentals/SIN_POS_PI_LE_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_add_succ_l' 'hl/thm/int/INT_MUL_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_pos_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_POS_LE_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_2'#@#variant 'hl/thm/Multivariate/complexes/RE_II_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lcm_diag' 'hl/thm/int/INT_MIN_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_le_mono_r' 'hl/thm/realax/NADD_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_asymm' 'hl/thm/real/REAL_LT_ANTISYM_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_pos_nonneg'#@#variant 'hl/thm/int/INT_LTE_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div2_nonneg'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_POS_LE_'#@#variant
0. 'coq/Coq_Reals_Rtopology_compact_P2' 'hl/thm/Multivariate/realanalysis/REAL_MEASURABLE_IMP_REAL_LEBESGUE_MEASURABLE_'
0. 'coq/Coq_Reals_RIneq_Ropp_0_ge_le_contravar'#@#variant 'hl/thm/Library/transc/LN_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_move_0_l' 'hl/thm/int/INT_RNEG_UNIQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lor_m1_r'#@#variant 'hl/thm/arith/MULT_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_gt_cases' 'hl/thm/int/INT_NOT_EQ_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_le' 'hl/thm/int/int_le_'
0. 'coq/Coq_ZArith_Zdiv_Zmod_0_r' 'hl/thm/realax/HREAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_Reals_Rtopology_compact_P1' 'hl/thm/Multivariate/realanalysis/REAL_MEASURABLE_IMP_REAL_LEBESGUE_MEASURABLE_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_le_compat_l' 'hl/thm/realax/NADD_MUL_WELLDEF_LEMMA_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_nlt_ge' 'hl/thm/int/INT_NOT_LE_'
0. 'coq/Coq_NArith_BinNat_N_lt_total' 'hl/thm/Library/analysis/LESS_CASES_IMP_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_refl' 'hl/thm/Multivariate/misc/GE_REFL_'
0. 'coq/Coq_Init_Peano_le_n_S' 'hl/thm/Multivariate/transcendentals/ATN_MONO_LT_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_divide_mul_l' 'hl/thm/Library/integer/INT_DIVIDES_RMUL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_lt_mono_l' 'hl/thm/int/INT_LE_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_gcd_greatest' 'hl/thm/Library/integer/INT_DIVIDES_ADD_'
0. 'coq/Coq_ZArith_BinInt_Z_lor_nonneg'#@#variant 'hl/thm/arith/LT_MULT_'#@#variant
0. 'coq/Coq_ZArith_Zeven_Zeven_not_Zodd' 'hl/thm/arith/EVEN_AND_ODD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_shuffle3' 'hl/thm/int/INT_MAX_ACI_2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_le_succ_r' 'hl/thm/Library/analysis/LESS_SUC_'
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_sub_r' 'hl/thm/Library/prime/DIVIDES_SUB_'
0. 'coq/Coq_QArith_Qcanon_Qcnot_lt_le' 'hl/thm/int/INT_LTE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_abs' 'hl/thm/Library/floor/FRAC_FLOOR_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_pred_succ' 'hl/thm/Multivariate/transcendentals/ATN_TAN_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_succ_r' 'hl/thm/real/REAL_NEG_RMUL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_le_mono_nonneg_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LT_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_iff' 'hl/thm/Complex/complexnumbers/CX_INJ_'
0. 'coq/Coq_Reals_RIneq_Rmult_opp_opp' 'hl/thm/real/REAL_NEG_MUL2_'
0. 'coq/Coq_ZArith_BinInt_Z_land_m1_l'#@#variant 'hl/thm/int/INT_MUL_LID_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_le_refl' 'hl/thm/realax/REAL_LE_REFL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_even_2' 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_ngt' 'hl/thm/int/INT_LT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_nonneg'#@#variant 'hl/thm/int/INT_NEG_GE0_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_divide_1_l'#@#variant 'hl/thm/Library/integer/INT_DIVIDES_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_shuffle3' 'hl/thm/real/REAL_MUL_AC_2'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_even_1' 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant
0. 'coq/Coq_QArith_Qminmax_Q_le_min_l' 'hl/thm/Library/analysis/SUB_LESS_EQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_0_l' 'hl/thm/arith/MULT_CLAUSES_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_le_mono_l' 'hl/thm/arith/EXP_MONO_LE_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lxor_m1_l'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_LZERO_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_Rinv' 'hl/thm/Library/analysis/REAL_NEG_INV_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_even_0' 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lt_succ_diag_r' 'hl/thm/Library/analysis/LESS_SUC_REFL_'
0. 'coq/Coq_Reals_RIneq_cond_nonneg'#@#variant 'hl/thm/real/REAL_LE_POW2_'#@#variant
0. 'coq/Coq_Reals_Raxioms_Rplus_0_l' 'hl/thm/realax/REAL_ADD_LID_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_le_refl' 'hl/thm/realax/TREAL_LE_REFL_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_cancel_l' 'hl/thm/arith/EQ_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_1_l'#@#variant 'hl/thm/arith/MULT_CLAUSES_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_nlt_ge' 'hl/thm/int/INT_NOT_LE_'
0. 'coq/Coq_Arith_Max_le_max_l' 'hl/thm/real/REAL_MAX_MAX_/0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mod_0_l' 'hl/thm/arith/MOD_0_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_le' 'hl/thm/int/int_lt_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_le_compat_l' 'hl/thm/int/INT_LE_LADD_IMP_'
0. 'coq/Coq_ZArith_BinInt_Z_min_le_compat_l' 'hl/thm/Library/integer/INT_DIVIDES_MUL_L_'
0. 'coq/Coq_Reals_R_sqrt_sqrt_lt_R0'#@#variant 'hl/thm/Library/floor/RATIONAL_INV_'
0. 'coq/Coq_NArith_BinNat_N_div2_succ_double' 'hl/thm/arith/PRE_1'
0. 'coq/Coq_ZArith_Zorder_Zplus_le_compat_r' 'hl/thm/Library/analysis/LESS_MONO_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_glb' 'hl/thm/Library/prime/DIVIDES_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_inj_wd' 'hl/thm/Multivariate/transcendentals/ATN_INJ_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_add_lt_sub_r' 'hl/thm/real/REAL_LE_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_pos' 'hl/thm/real/REAL_SGN_INEQS_3'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_succ_l' 'hl/thm/calc_int/REAL_MUL_LNEG_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_l2i_i2l'#@#variant 'hl/thm/Complex/complexnumbers/complex_tybij_raw_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_lt_mono_r' 'hl/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pred_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_abs_l' 'hl/thm/Library/integer/INT_DIVIDES_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_mul_below' 'hl/thm/int/INT_SUB_ABS_'
0. 'coq/Coq_Arith_PeanoNat_Nat_div_same'#@#variant 'hl/thm/arith/DIV_REFL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_move_0_r' 'hl/thm/int/INT_SUB_0_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_le_lin'#@#variant 'hl/thm/Library/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_0_iff' 'hl/thm/Multivariate/vectors/SQRT_EQ_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_pos'#@#variant 'hl/thm/Library/integer/INT_PRIME_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_pos'#@#variant 'hl/thm/Library/transc/REAL_EXP_LT_1_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_1_l' 'hl/thm/realax/REAL_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_add_r' 'hl/thm/Library/prime/DIVIDES_SUB_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_glb_lt' 'hl/thm/Library/integer/INT_DIVIDES_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_pred_l' 'hl/thm/Library/pocklington/PHI_LIMIT_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_pred_double_succ' 'hl/thm/calc_num/ARITH_4'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_pos'#@#variant 'hl/thm/Library/transc/ATN_POS_LE_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rge_not_gt' 'hl/thm/realarith/REAL_LTE_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_diag' 'hl/thm/Library/analysis/REAL_DOUBLE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_divide_mono_l' 'hl/thm/Library/prime/DIVIDES_MUL_L_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_cancel_r' 'hl/thm/calc_int/REAL_EQ_ADD_RCANCEL_'
0. 'coq/Coq_Reals_RIneq_Ropp_involutive' 'hl/thm/real/REAL_INV_INV_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_nonneg'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_POS_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_nle_gt' 'hl/thm/int/INT_NOT_LT_'
0. 'coq/Coq_Reals_Ratan_ps_atan_opp' 'hl/thm/Complex/complex_transc/CSIN_NEG_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_involutive' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ldiff_land' 'hl/thm/Multivariate/complexes/complex_div_'#@#variant
0. 'coq/Coq_Reals_ROrderedType_ROrder_le_refl' 'hl/thm/Library/integer/INT_DIVIDES_REFL_'
0. 'coq/Coq_QArith_QArith_base_Qinv_le_0_compat'#@#variant 'hl/thm/Library/transc/SQRT_POS_LE_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_Even_or_Odd' 'hl/thm/arith/EVEN_OR_ODD_'
0. 'coq/Coq_Numbers_Natural_BigN_Nbasic_base_xO'#@#variant 'hl/thm/Library/analysis/REAL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_square_spec' 'hl/thm/arith/MULT_2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_succ' 'hl/thm/Multivariate/transcendentals/ATN_TAN_'
0. 'coq/Coq_PArith_BinPos_Pos_add_sub' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_land' 'hl/thm/Multivariate/transcendentals/REAL_EXP_ADD_'
0. 'coq/Coq_fourier_Fourier_util_Rfourier_le'#@#variant 'hl/thm/real/REAL_LE_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lcm_diag' 'hl/thm/real/REAL_MUL_2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_1_r'#@#variant 'hl/thm/Library/prime/INDEX_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_le_mono' 'hl/thm/realax/NADD_INV_WELLDEF_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_glb_lt_iff' 'hl/thm/int/INT_LE_MIN_'
0. 'coq/Coq_Reals_Rpower_ln_mult'#@#variant 'hl/thm/Library/transc/LN_MUL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_even_1'#@#variant 'hl/thm/nums/ZERO_DEF_'
0. 'coq/Coq_ZArith_BinInt_Zmult_0_r_reverse' 'hl/thm/arith/MULT_0_'#@#variant
0. 'coq/Coq_Init_Peano_O_S' 'hl/thm/nums/IND_SUC_0_'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_double'#@#variant 'hl/thm/Complex/complex_transc/CX_CSIN_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_ge_le_iff' 'hl/thm/arith/GE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_id' 'hl/thm/real/REAL_MAX_ACI_3'
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_pos'#@#variant 'hl/thm/int/INT_SGN_INEQS_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_add_lt_sub_r' 'hl/thm/int/INT_LT_ADD_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_rem_idemp_r' 'hl/thm/arith/MOD_MULT_RMOD_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_pred_r' 'hl/thm/int/INT_NEG_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_le_mono_l' 'hl/thm/arith/LE_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_shuffle3' 'hl/thm/int/INT_ADD_AC_2'
0. 'coq/Coq_Arith_Div2_odd_div2' 'hl/thm/Library/transc/SQRT_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_glb_lt' 'hl/thm/Library/integer/INT_DIVIDES_ADD_'
0. 'coq/Coq_QArith_Qminmax_Q_le_max_l' 'hl/thm/int/INT_MAX_MAX_/0'
0. 'coq/Coq_Reals_Ratan_Datan_seq_pos'#@#variant 'hl/thm/Library/floor/RATIONAL_CLOSED_6'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_le_compat_l' 'hl/thm/real/REAL_LT_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lor_diag' 'hl/thm/int/INT_MIN_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_2' 'hl/thm/Library/transc/SIN_0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_Zpos' 'hl/thm/realax/TREAL_OF_NUM_LE_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_pos'#@#variant 'hl/thm/Multivariate/transcendentals/REAL_EXP_LT_1_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_1_l'#@#variant 'hl/thm/int/INT_ADD_LID_'#@#variant
0. 'coq/Coq_PArith_Pnat_SuccNat2Pos_inj_succ' 'hl/thm/int/int_neg_th_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_iff' 'hl/thm/Multivariate/vectors/LIFT_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_le_compat_r' 'hl/thm/realax/HREAL_LE_MUL_RCANCEL_IMP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sub_diag' 'hl/thm/real/REAL_SUB_REFL_'#@#variant
0. 'coq/Coq_Numbers_Cyclic_Int31_Ring31_Int31ring_add_comm'#@#variant 'hl/thm/realax/TREAL_ADD_SYM_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_sub_le_add_r' 'hl/thm/int/INT_LE_SUB_RADD_'
0. 'coq/Coq_Reals_Rminmax_R_max_id' 'hl/thm/real/REAL_MIN_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_add_r' 'hl/thm/real/REAL_MAX_MAX_/0'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_id' 'hl/thm/real/REAL_MIN_ACI_3'
0. 'coq/Coq_Arith_Gt_gt_Sn_O' 'hl/thm/Library/transc/ATN_/1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_pos'#@#variant 'hl/thm/Library/pocklington/EVEN_PHI_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_le_refl' 'hl/thm/realax/NADD_EQ_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_quot_le_mono'#@#variant 'hl/thm/real/REAL_LE_RMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_add_cancel_r' 'hl/thm/Library/poly/POLY_DIVIDES_SUB_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_le_mono_l' 'hl/thm/int/INT_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_divide_mono_r' 'hl/thm/realax/NADD_LE_RMUL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_max_l' 'hl/thm/realax/HREAL_LE_ADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_refl' 'hl/thm/Complex/cpoly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_shuffle3' 'hl/thm/arith/MULT_AC_2'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_succ_r' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_RMUL_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_gt_cases' 'hl/thm/int/INT_NOT_EQ_'
0. 'coq/Coq_QArith_Qminmax_Q_max_le_compat_l' 'hl/thm/Library/integer/INT_DIVIDES_MUL_L_'
0. 'coq/Coq_ZArith_Znat_positive_N_nat' 'hl/thm/int/int_of_num_th_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_lt_mono_l' 'hl/thm/realax/NADD_LE_LADD_'
0. 'coq/Coq_NArith_BinNat_N_le_succ_r' 'hl/thm/arith/LE_1'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_wB_pos'#@#variant 'hl/thm/Library/transc/PI2_BOUNDS_1'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_succ' 'hl/thm/Library/transc/ATN_TAN_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_shuffle3' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_AC_2'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_nonneg' 'hl/thm/Multivariate/transcendentals/ATN_BOUNDS_/0'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_pos'#@#variant 'hl/thm/Multivariate/vectors/SQRT_LE_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_Zpos' 'hl/thm/real/REAL_OF_NUM_GT_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_lt' 'hl/thm/realax/NADD_OF_NUM_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_divide_mono_r' 'hl/thm/Library/integer/INT_DIVIDES_MUL_R_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_total' 'hl/thm/int/INT_LT_TOTAL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_lt_mono_r' 'hl/thm/int/INT_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_nonpos' 'hl/thm/real/REAL_SGN_INEQS_6'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_id' 'hl/thm/int/INT_MIN_ACI_3'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_lt_mono_r_iff'#@#variant 'hl/thm/int/INT_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_opp_involutive' 'hl/thm/Complex/complexnumbers/CNJ_CNJ_'
0. 'coq/Coq_ZArith_BinInt_Zsucc_pred' 'hl/thm/Multivariate/transcendentals/ATN_TAN_'
0. 'coq/Coq_Reals_Rtrigo1_neg_sin' 'hl/thm/Multivariate/transcendentals/COS_PERIODIC_PI_'
0. 'coq/Coq_ZArith_Znat_Z2N_inj_pred' 'hl/thm/Multivariate/transcendentals/CX_EXP_'#@#variant
0. 'coq/Coq_Reals_Raxioms_Rmult_1_l' 'hl/thm/realax/REAL_ADD_LID_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lor_m1_r'#@#variant 'hl/thm/Library/pocklington/ORDER_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_double'#@#variant 'hl/thm/Library/transc/LN_INV_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_mul_le_mono_r' 'hl/thm/int/INT_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_refl' 'hl/thm/Multivariate/misc/GE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_even_2'#@#variant 'hl/thm/Multivariate/complexes/IM_II_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_setbit_spec_prime'#@#variant 'hl/thm/int/INT_SUB_RNEG_'
0. 'coq/Coq_Reals_Rtrigo1_tan_neg' 'hl/thm/Library/transc/ATN_NEG_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_le_mono' 'hl/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_div2_nonneg' 'hl/thm/real/REAL_SGN_INEQS_3'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sqrt_le_mono' 'hl/thm/realax/NADD_INV_WELLDEF_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_nonneg_r'#@#variant 'hl/thm/real/REAL_LE_RMUL_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zplus_lt_compat_r' 'hl/thm/Library/prime/DIVIDES_MUL_R_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_max_l' 'hl/thm/real/REAL_MAX_MAX_/0'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mod_1_r'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_0_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_glb_lt' 'hl/thm/Library/prime/DIVIDES_SUB_'
0. 'coq/Coq_Arith_EqNat_eq_nat_refl' 'hl/thm/realax/NADD_EQ_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_eq_0' 'hl/thm/arith/ADD_EQ_0_'#@#variant
0. 'coq/Coq_Reals_R_sqrt_sqrt_positivity'#@#variant 'hl/thm/Multivariate/transcendentals/REAL_COS_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lcm_0_r' 'hl/thm/realax/HREAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_max_lt_iff' 'hl/thm/int/INT_LT_MAX_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_le_compat_l' 'hl/thm/realax/NADD_LE_LMUL_'
0. 'coq/Coq_NArith_BinNat_N_min_glb' 'hl/thm/Library/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_odd_1'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Zplus_succ_r_reverse' 'hl/thm/int/INT_MUL_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_succ_diag_r' 'hl/thm/real/REAL_ABS_LE_'
0. 'coq/Coq_Reals_Rbasic_fun_Rmin_glb' 'hl/thm/Complex/cpoly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_0_r' 'hl/thm/arith/LE_0'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_rem_1_r'#@#variant 'hl/thm/Library/prime/INDEX_1_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_max_r' 'hl/thm/int/INT_MAX_MAX_/1'
0. 'coq/Coq_Numbers_BigNumPrelude_Zsquare_le' 'hl/thm/arith/LE_SQUARE_REFL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_divide_mono_r' 'hl/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Reals_RIneq_Ropp_Ropp_IZR' 'hl/thm/Multivariate/complexes/CX_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pred_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LE_'
0. 'coq/Coq_QArith_Qround_Qceiling_Z' 'hl/thm/Complex/complexnumbers/complex_tybij_1'#@#variant
0. 'coq/Coq_Reals_RIneq_Ropp_mult_distr_l' 'hl/thm/int/INT_MUL_LNEG_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_id' 'hl/thm/int/INT_MAX_ACI_3'
0. 'coq/Coq_QArith_Qabs_Qabs_pos'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_LE_X_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lor_assoc' 'hl/thm/realax/TREAL_MUL_ASSOC_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_abs_0_iff' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_EQ_0_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qplus_le_r' 'hl/thm/realax/HREAL_LE_ADD_LCANCEL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mod_le' 'hl/thm/arith/MOD_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_lt_mono_l' 'hl/thm/int/INT_LT_LADD_'
0. 'coq/Coq_NArith_BinNat_N_lor_0_l' 'hl/thm/int/INT_ADD_LID_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_comm' 'hl/thm/realax/NADD_ADD_SYM_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftl_1_l'#@#variant 'hl/thm/realarith/REAL_POLY_NEG_CLAUSES_0'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div2_double' 'hl/thm/Library/transc/ATN_TAN_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_even' 'hl/thm/int/int_of_num_th_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_nle_gt' 'hl/thm/int/INT_NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_sub_le_add_r' 'hl/thm/real/REAL_LT_SUB_RADD_'
0. 'coq/Coq_PArith_BinPos_Pos_min_glb_lt' 'hl/thm/Complex/cpoly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_mul_1_l' 'hl/thm/arith/MULT_CLAUSES_2'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_divide_mono_l' 'hl/thm/real/REAL_LT_LADD_IMP_'
0. 'coq/Coq_Arith_PeanoNat_Nat_max_le_iff' 'hl/thm/real/REAL_LE_MAX_'
0. 'coq/Coq_ZArith_Zpower_two_power_nat_S'#@#variant 'hl/thm/Multivariate/complexes/IM_CNJ_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_cancel_l' 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_ADD_LCANCEL_'
0. 'coq/Coq_QArith_Qreals_Q2R_opp' 'hl/thm/Multivariate/transcendentals/CX_ATN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_add_lt_sub_r' 'hl/thm/int/INT_LT_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lxor_0_l' 'hl/thm/int/INT_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_le_compat_l' 'hl/thm/realax/TREAL_LE_LADD_IMP_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_mul_cancel_l' 'hl/thm/int/INT_EQ_ADD_LCANCEL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_ngt' 'hl/thm/int/INT_NOT_LT_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_le' 'hl/thm/realax/NADD_OF_NUM_LE_'
0. 'coq/Coq_NArith_BinNat_N_mul_lt_mono_pos_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LT_EQ_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_add_lt_sub_r' 'hl/thm/int/INT_LE_SUB_LADD_'
0. 'coq/Coq_ZArith_BinInt_Z_sgn_null_iff' 'hl/thm/calc_num/ARITH_50'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_sub_le_add_r' 'hl/thm/real/REAL_LE_SUB_RADD_'
0. 'coq/Coq_NArith_BinNat_N_sqrt_succ_le' 'hl/thm/Library/floor/FLOOR_DOUBLE_/0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div_le_mono'#@#variant 'hl/thm/int/INT_LE_RMUL_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_abs_IZR' 'hl/thm/Multivariate/transcendentals/CX_SIN_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lcm_0_r' 'hl/thm/Library/pocklington/ORDER_1_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_le_lteq' 'hl/thm/int/INT_LE_LT_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_double' 'hl/thm/int/int_neg_th_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_refl' 'hl/thm/realax/NADD_EQ_REFL_'
0. 'coq/Coq_NArith_BinNat_N_neq_0_succ' 'hl/thm/nums/NOT_SUC_'#@#variant
0. 'coq/Coq_ZArith_Zpow_alt_Zpower_alt_0_r'#@#variant 'hl/thm/Library/prime/INDEX_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_divide_cancel_r' 'hl/thm/Library/prime/DIVIDES_RMUL2_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_cancel_l' 'hl/thm/arith/EQ_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_refl' 'hl/thm/Multivariate/misc/GE_REFL_'
0. 'coq/Coq_Reals_RIneq_Rinv_0_lt_compat'#@#variant 'hl/thm/real/REAL_LE_INV_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_divide_0_r' 'hl/thm/Library/prime/DIVIDES_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_lt_lin'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_LE_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_nonneg' 'hl/thm/calc_num/ARITH_72'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_greatest' 'hl/thm/Library/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_max_0_l' 'hl/thm/realax/REAL_ADD_LID_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_odd_2' 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_xO'#@#variant 'hl/thm/int/int_neg_th_'
0. 'coq/Coq_Reals_R_sqrt_sqrt_lt_R0'#@#variant 'hl/thm/Library/pratt/PHI_LOWERBOUND_1_STRONG_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_lt_mono_l' 'hl/thm/realax/NADD_LE_LADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_odd_1' 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qcpower_1'#@#variant 'hl/thm/int/INT_POW_ONE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_le_mono_r' 'hl/thm/int/INT_LE_RADD_'
0. 'coq/Coq_Init_Datatypes_CompOpp_involutive' 'hl/thm/Complex/complexnumbers/CNJ_CNJ_'
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_pos'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_POS_LT_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_neq_0_succ' 'hl/thm/Complex/complex_transc/CEXP_NONZERO_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_le_mono_pos_r'#@#variant 'hl/thm/real/REAL_LE_DIV2_EQ_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_odd_0' 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_1_l' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_add' 'hl/thm/int/INT_SUB_ADD_'
0. 'coq/Coq_Reals_Exp_prop_exp_plus' 'hl/thm/Multivariate/transcendentals/REAL_EXP_SUB_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_refl' 'hl/thm/Multivariate/misc/GE_REFL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_ge_le_iff' 'hl/thm/int/INT_GE_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lcm_divide_iff' 'hl/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_inj_wd' 'hl/thm/int/INT_EQ_NEG2_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_ge_cases' 'hl/thm/arith/LET_CASES_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_le_lin'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_LE_X_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_pos_nonneg'#@#variant 'hl/thm/realarith/REAL_LTE_ADD_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_min_le_compat_r' 'hl/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_min_l' 'hl/thm/int/INT_MIN_MIN_/0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_opp_r' 'hl/thm/Multivariate/complexes/complex_div_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_refl' 'hl/thm/realax/TREAL_EQ_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_gt_cases' 'hl/thm/int/INT_NOT_EQ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_lcm_r' 'hl/thm/arith/LE_ADDR_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_of_Q' 'hl/thm/Complex/complexnumbers/complex_tybij_raw_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_odd_2'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lxor_lnot_lnot' 'hl/thm/real/REAL_NEG_MUL2_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_le_succ_r' 'hl/thm/Library/analysis/LESS_SUC_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_pred_succ' 'hl/thm/arith/PRE_1'
0. 'coq/Coq_Reals_Rbasic_fun_Rle_max_compat_l' 'hl/thm/int/INT_LE_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_square_spec' 'hl/thm/real/REAL_MUL_2_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_r' 'hl/thm/arith/EXP_MONO_LE_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lnot_0_l' 'hl/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_log2_le_lin'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_LE_X_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pred_succ' 'hl/thm/Library/transc/ATN_TAN_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_pos_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_POS_LT_'#@#variant
0. 'coq/Coq_Reals_ROrderedType_ROrder_not_gt_le' 'hl/thm/arith/LET_CASES_'
0. 'coq/Coq_QArith_Qcanon_Qcplus_0_l'#@#variant 'hl/thm/realax/REAL_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_refl' 'hl/thm/Library/prime/DIVIDES_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_succ' 'hl/thm/Multivariate/transcendentals/REAL_EXP_NEG_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_nle' 'hl/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_lub_r' 'hl/thm/Library/integer/INT_DIVIDES_LMUL2_'
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_pos_l'#@#variant 'hl/thm/real/REAL_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_le_mono_l' 'hl/thm/Library/prime/DIVIDES_EXP_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_add_r' 'hl/thm/int/INT_MAX_MAX_/0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_0_r' 'hl/thm/calc_int/REAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div_lt_upper_bound' 'hl/thm/arith/LE_LDIV_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_ge_le_iff' 'hl/thm/arith/GT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_lt_mono_r'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LT_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_le_mono_r' 'hl/thm/arith/LE_ADD_RCANCEL_'
0. 'coq/__constr_Coq_Arith_Even_even_0_2' 'hl/thm/Library/pocklington/EVEN_PHI_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div_pos'#@#variant 'hl/thm/realarith/REAL_LTE_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_alt_dichotomy' 'hl/thm/arith/LE_CASES_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_ngt' 'hl/thm/arith/NOT_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pred_le_mono' 'hl/thm/realax/NADD_INV_WELLDEF_'
0. 'coq/Coq_PArith_BinPos_Pos_mul_reg_l' 'hl/thm/realax/HREAL_ADD_LCANCEL_'
0. 'coq/Coq_NArith_BinNat_N_clearbit_spec_prime'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_max' 'hl/thm/Library/floor/FRAC_FLOOR_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_le_compat_l' 'hl/thm/Library/prime/DIVIDES_MUL_L_'
0. 'coq/Coq_Reals_Rtopology_compact_P2' 'hl/thm/Multivariate/realanalysis/REAL_NEGLIGIBLE_COUNTABLE_'#@#variant
0. 'coq/Coq_QArith_Qreduction_Qred_opp' 'hl/thm/Multivariate/transcendentals/CNJ_CTAN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_add_lt_sub_r' 'hl/thm/real/REAL_LT_SUB_LADD_'
0. 'coq/Coq_Reals_Rminmax_R_le_min_l' 'hl/thm/int/INT_MIN_MIN_/0'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_diag' 'hl/thm/arith/MULT_2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lor_diag' 'hl/thm/real/REAL_MIN_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_le_compat_l' 'hl/thm/Library/prime/DIVIDES_MUL_L_'
0. 'coq/Coq_Reals_Rtopology_compact_P1' 'hl/thm/Multivariate/realanalysis/REAL_NEGLIGIBLE_COUNTABLE_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_pow_le_mono_r'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LE_'#@#variant
0. 'coq/Coq_Reals_Rpower_exp_increasing' 'hl/thm/Multivariate/vectors/SQRT_MONO_LE_'
0. 'coq/Coq_ZArith_Zorder_Zplus_gt_compat_l' 'hl/thm/realax/NADD_LE_LMUL_'
0. 'coq/Coq_Reals_Rbasic_fun_Rmin_glb_lt' 'hl/thm/Library/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_triangle' 'hl/thm/int/INT_ABS_TRIANGLE_'
0. 'coq/Coq_NArith_BinNat_N_le_0_r' 'hl/thm/Library/prime/LESS_EQ_0_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_le_compat_r' 'hl/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_lt_iff' 'hl/thm/real/REAL_LT_MAX_'
0. 'coq/Coq_NArith_BinNat_N_min_glb_lt' 'hl/thm/Library/integer/INT_DIVIDES_SUB_'
0. 'coq/Coq_Lists_List_app_assoc' 'hl/thm/Multivariate/vectors/VECTOR_ADD_ASSOC_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_PositiveOrderedTypeBits_bits_lt_antirefl' 'hl/thm/realarith/REAL_LT_REFL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_succ_diag_r' 'hl/thm/int/INT_ABS_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_lt_mono_pos_l'#@#variant 'hl/thm/int/INT_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_pos' 'hl/thm/real/REAL_SGN_INEQS_3'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_le_max_l' 'hl/thm/realax/HREAL_LE_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_null_iff' 'hl/thm/real/REAL_SGN_INEQS_4'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_cancel_r' 'hl/thm/arith/EQ_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_0_l' 'hl/thm/realarith/REAL_POLY_NEG_CLAUSES_0'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_le_min_l' 'hl/thm/Library/analysis/SUB_LESS_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_le_compat_r' 'hl/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Topp_plus_stable' 'hl/thm/Library/multiplicative/MULTIPLICATIVE_PHI_'
0. 'coq/Coq_Arith_PeanoNat_Nat_ldiff_diag' 'hl/thm/int/INT_SUB_REFL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_Ropp' 'hl/thm/Complex/complex_transc/CCOS_NEG_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_nlt' 'hl/thm/arith/NOT_LT_'
0. 'coq/Coq_Reals_Ratan_atan_bound/1'#@#variant 'hl/thm/calc_num/ARITH_83'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_max' 'hl/thm/Library/floor/FRAC_FLOOR_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_le_incl' 'hl/thm/realax/TREAL_EQ_IMP_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_pos'#@#variant 'hl/thm/Library/transc/LN_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_le_compat_r' 'hl/thm/Library/prime/DIVIDES_MUL_R_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_pred_r' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_RMUL_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_red' 'hl/thm/Multivariate/transcendentals/CX_ATN_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sgn_opp' 'hl/thm/int/INT_SGN_NEG_'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_iff' 'hl/thm/int/int_eq_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_nonneg_pos'#@#variant 'hl/thm/realarith/REAL_LET_ADD_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_id' 'hl/thm/Multivariate/vectors/LIFT_DROP_0'#@#variant
0. 'coq/Coq_Bool_Bool_orb_diag' 'hl/thm/int/INT_MAX_ACI_3'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_ge_cases' 'hl/thm/realax/NADD_LE_TOTAL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_lt_mono_pos_r'#@#variant 'hl/thm/real/REAL_LT_RMUL_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sub_le_mono_r' 'hl/thm/Library/prime/DIVIDES_EXP_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_nonneg_l'#@#variant 'hl/thm/real/REAL_LE_LMUL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_opp_max_distr' 'hl/thm/Complex/complex_transc/CEXP_ADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_succ_diag_r' 'hl/thm/Library/analysis/LESS_EQ_SUC_REFL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_double'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_INV_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_ldiff_land' 'hl/thm/Complex/complexnumbers/complex_div_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_divide_cancel_l' 'hl/thm/Library/prime/DIVIDES_LMUL2_EQ_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rplus_lt_compat_r' 'hl/thm/Library/analysis/LESS_MONO_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_shuffle3' 'hl/thm/int/INT_ADD_AC_2'
0. 'coq/Coq_NArith_BinNat_N_lt_total' 'hl/thm/arith/LT_CASES_'
0. 'coq/Coq_Reals_Rtrigo_calc_deg_rad' 'hl/thm/Library/transc/LN_EXP_'
0. 'coq/Coq_NArith_BinNat_N_lt_add_lt_sub_r' 'hl/thm/int/INT_LE_SUB_LADD_'
0. 'coq/Coq_NArith_BinNat_N_pow_le_mono_l' 'hl/thm/arith/EXP_MONO_LE_IMP_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_gt_lt_iff' 'hl/thm/realax/real_gt_'
0. 'coq/Coq_Reals_Rtrigo1_cos_minus' 'hl/thm/Complex/complex_transc/CCOS_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lxor_0_l' 'hl/thm/realax/HREAL_ADD_LID_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_pred_double_succ' 'hl/thm/calc_num/ARITH_9'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_pos_cancel_l'#@#variant 'hl/thm/Library/floor/INTEGER_ADD_EQ_0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sub_le_mono_r' 'hl/thm/Library/prime/DIVIDES_MUL_R_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_le_mono_l' 'hl/thm/arith/LE_ADD_LCANCEL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_divide' 'hl/thm/realax/HREAL_OF_NUM_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div_mul_le' 'hl/thm/arith/MULT_DIV_LE_'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_gt' 'hl/thm/int/int_le_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_0_l' 'hl/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_inj_wd' 'hl/thm/Library/transc/ATN_INJ_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_gcd_divide_l' 'hl/thm/real/REAL_MIN_MIN_/0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lxor_0_l' 'hl/thm/realax/REAL_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_lub_r' 'hl/thm/Library/prime/DIVIDES_LMUL2_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_ngt' 'hl/thm/realax/real_lt_'
0. 'coq/Coq_ZArith_BinInt_Z_succ_inj_wd' 'hl/thm/Multivariate/vectors/SQRT_INJ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_le_mono' 'hl/thm/Library/floor/FLOOR_MONO_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_refl' 'hl/thm/Library/poly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_le_compat_r' 'hl/thm/Library/prime/DIVIDES_MUL_R_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_even_2'#@#variant 'hl/thm/Multivariate/complexes/IM_II_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_id' 'hl/thm/int/int_abstr_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_add_simpl_l_l' 'hl/thm/arith/SUB_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_sub_le_add_r' 'hl/thm/int/INT_LE_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_setbit_spec_prime'#@#variant 'hl/thm/Complex/complexnumbers/complex_sub_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_ngt' 'hl/thm/arith/NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_nle' 'hl/thm/realax/real_lt_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_neg_iff' 'hl/thm/realax/HREAL_OF_NUM_EQ_'
0. 'coq/Coq_ZArith_BinInt_Z_div_same'#@#variant 'hl/thm/real/REAL_DIV_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_shuffle3' 'hl/thm/arith/MULT_AC_2'
0. 'coq/Coq_Bool_Bool_andb_false_iff' 'hl/thm/real/REAL_DIV_EQ_0_'#@#variant
0. 'coq/Coq_Reals_Ratan_atan_right_inv' 'hl/thm/Library/transc/ATN_TAN_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_pos'#@#variant 'hl/thm/real/REAL_LT_INV_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_le_mono_l' 'hl/thm/int/INT_LE_LADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_lcm_l' 'hl/thm/arith/LE_ADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_lt_mono_pos_l'#@#variant 'hl/thm/real/REAL_LE_LMUL_EQ_'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2SuccNat_id_succ' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_CX_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_nge' 'hl/thm/realarith/REAL_NOT_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_add_simpl_r_r' 'hl/thm/arith/SUB_ADD_RCANCEL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_add_lt_sub_r' 'hl/thm/real/REAL_LE_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_le_mono_r' 'hl/thm/int/INT_LE_RADD_'
0. 'coq/Coq_ZArith_BinInt_Z_double_spec'#@#variant 'hl/thm/Library/analysis/REAL_INV_1OVER_'#@#variant
0. 'coq/Coq_Reals_Rsqrt_def_Rsqrt_positivity'#@#variant 'hl/thm/realarith/REAL_POS_'#@#variant
0. 'coq/Coq_ZArith_Zquot_Zquot_opp_l' 'hl/thm/Multivariate/transcendentals/RPOW_INV_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div2_succ_double' 'hl/thm/Multivariate/transcendentals/CCOS_CACS_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_max_lub_r' 'hl/thm/Library/prime/DIVIDES_LMUL2_'
0. 'coq/Coq_ZArith_BinInt_Z_le_gt_cases' 'hl/thm/arith/LTE_CASES_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_sub_le_add_r' 'hl/thm/real/REAL_LT_SUB_RADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_shuffle3' 'hl/thm/real/REAL_MAX_ACI_2'
0. 'coq/Coq_NArith_BinNat_N_succ_inj_wd' 'hl/thm/int/INT_EQ_NEG2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_1_l'#@#variant 'hl/thm/Library/prime/DIVIDES_1_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_double_mul' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_LMUL_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_gt' 'hl/thm/int/int_lt_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_lt_mono_l_iff' 'hl/thm/Library/prime/DIVIDES_RMUL2_EQ_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lor_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_mod' 'hl/thm/arith/MOD_MULT_MOD2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_0_r' 'hl/thm/realax/HREAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_pos'#@#variant 'hl/thm/int/INT_SGN_INEQS_1'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_pos'#@#variant 'hl/thm/Library/pocklington/PHI_LOWERBOUND_2_'#@#variant
0. 'coq/__constr_Coq_Arith_Even_even_1_1' 'hl/thm/Library/transc/REAL_EXP_LT_1_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qle_lt_trans' 'hl/thm/realarith/REAL_LET_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_max_l' 'hl/thm/int/INT_MAX_MAX_/0'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_divide_mono_r' 'hl/thm/arith/EXP_MONO_LE_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_shuffle3' 'hl/thm/real/REAL_MUL_AC_2'
0. 'coq/Coq_Reals_RIneq_Rmult_ne/1' 'hl/thm/int/INT_ADD_LID_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pow_lt_mono_r'#@#variant 'hl/thm/int/INT_LE_LMUL_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_min_le_iff' 'hl/thm/real/REAL_MIN_LE_'
0. 'coq/Coq_ZArith_BinInt_Zminus_succ_l' 'hl/thm/arith/ADD_CLAUSES_2'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_0_l' 'hl/thm/Library/prime/DIVIDES_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_pos'#@#variant 'hl/thm/real/REAL_ABS_NZ_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_divide_mono_r' 'hl/thm/Library/integer/INT_DIVIDES_MUL_R_'
0. 'coq/Coq_QArith_Qcanon_Qcmult_1_l'#@#variant 'hl/thm/int/INT_ADD_LID_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_xO_r' 'hl/thm/int/INT_NEG_RMUL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_sub_le_add_r' 'hl/thm/int/INT_LE_SUB_LADD_'
0. 'coq/Coq_PArith_BinPos_Pos_min_le_compat_r' 'hl/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_Zpos' 'hl/thm/realax/NADD_OF_NUM_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_lteq' 'hl/thm/arith/LE_LT_'
0. 'coq/Coq_ZArith_BinInt_Z_add_move_r' 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_ge_cases' 'hl/thm/int/INT_LTE_TOTAL_'
0. 'coq/Coq_Reals_Rtrigo_def_sin_antisym' 'hl/thm/Multivariate/transcendentals/ATN_ABS_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_asymm' 'hl/thm/arith/LT_ANTISYM_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_shuffle3' 'hl/thm/int/INT_MAX_ACI_2'
0. 'coq/Coq_ZArith_Zorder_Zlt_0_le_0_pred'#@#variant 'hl/thm/Library/pocklington/PHI_LOWERBOUND_1_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_le_compat_r' 'hl/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_le_incl' 'hl/thm/realarith/REAL_LT_IMP_LE_'
0. 'coq/Coq_ZArith_BinInt_Z_opp_max_distr' 'hl/thm/Complex/complex_transc/CEXP_SUB_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_ngt' 'hl/thm/int/INT_NOT_LT_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_ge' 'hl/thm/int/int_le_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_sqrt' 'hl/thm/Multivariate/complexes/IM_CNJ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_0_r' 'hl/thm/Library/pocklington/ORDER_1_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rplus_le_compat_r' 'hl/thm/Library/prime/LESS_MONO_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_nlt' 'hl/thm/int/INT_NOT_LT_'
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_2' 'hl/thm/Multivariate/transcendentals/TAN_0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_total' 'hl/thm/real/REAL_LT_TOTAL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_le_iff' 'hl/thm/int/INT_MIN_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_shuffle3' 'hl/thm/real/REAL_MAX_ACI_2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_double'#@#variant 'hl/thm/Library/transc/LN_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_le_iff' 'hl/thm/int/INT_MIN_LT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lor_diag' 'hl/thm/int/INT_MAX_ACI_3'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_2' 'hl/thm/int/INT_SGN_0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_square_spec' 'hl/thm/Library/analysis/REAL_DOUBLE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_lt_add_r' 'hl/thm/Library/integer/INT_DIVIDES_RMUL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_le_compat_r' 'hl/thm/Library/prime/LESS_MONO_ADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_succ_r' 'hl/thm/int/INT_NEG_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_lt_mono_l_iff' 'hl/thm/Library/prime/DIVIDES_RMUL2_EQ_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lnot_nonneg'#@#variant 'hl/thm/real/REAL_NEG_GT0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_pos_nonneg'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_LT_1_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_shuffle3' 'hl/thm/real/REAL_MAX_ACI_2'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_sub_l' 'hl/thm/Library/analysis/SUB_LESS_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ldiff_m1_l'#@#variant 'hl/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_lt_mono_r' 'hl/thm/arith/LE_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_nle_gt' 'hl/thm/int/INT_NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lxor_nilpotent' 'hl/thm/int/INT_SUB_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_id' 'hl/thm/real/REAL_MIN_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_le_compat_l' 'hl/thm/realax/NADD_LE_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_opp' 'hl/thm/calc_int/REAL_ABS_NEG_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_succ_r' 'hl/thm/real/REAL_NEG_RMUL_'
0. 'coq/Coq_QArith_QArith_base_Qplus_le_r' 'hl/thm/real/REAL_LE_LADD_'
0. 'coq/Coq_PArith_BinPos_Pos_add_succ_l' 'hl/thm/Multivariate/transcendentals/RPOW_INV_'
0. 'coq/Coq_Reals_Rminmax_R_minus_min_distr_l' 'hl/thm/arith/EXP_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_succ_not_1' 'hl/thm/nums/NOT_SUC_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_ge' 'hl/thm/int/int_lt_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_le_compat_r' 'hl/thm/Library/analysis/LESS_MONO_ADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_clearbit_spec_prime'#@#variant 'hl/thm/Complex/complexnumbers/complex_div_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_even_1'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant
0. 'coq/Coq_Arith_Gt_plus_gt_compat_l' 'hl/thm/Library/integer/INT_DIVIDES_MUL_L_'
0. 'coq/Coq_ZArith_BinInt_Z_divide_opp_l' 'hl/thm/Library/integer/INT_DIVIDES_LABS_'
0. 'coq/Coq_ZArith_Znat_Z2N_inj_pred' 'hl/thm/int/int_sgn_th_'
0. 'coq/Coq_Reals_Rfunctions_Rlt_pow' 'hl/thm/int/INT_POW_MONO_LT_'#@#variant
0. 'coq/Coq_Reals_R_sqrt_sqrt_lt_1_alt'#@#variant 'hl/thm/Library/transc/SQRT_MONO_LE_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_le_sub_le_add_r' 'hl/thm/real/REAL_LE_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_involutive' 'hl/thm/calc_int/REAL_NEG_NEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lcm_diag' 'hl/thm/int/INT_MAX_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_1_r' 'hl/thm/arith/ADD_0_'
0. 'coq/Coq_NArith_BinNat_N_shiftr_div_pow2'#@#variant 'hl/thm/Multivariate/complexes/complex_div_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rplus_gt_ge_compat' 'hl/thm/arith/LTE_ADD2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ldiff_diag' 'hl/thm/arith/SUB_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_lt_mono_nonneg'#@#variant 'hl/thm/real/REAL_LE_MUL2_'#@#variant
0. 'coq/Coq_Reals_Rpower_exp_increasing' 'hl/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rplus_lt_compat_r' 'hl/thm/Library/prime/DIVIDES_EXP_'
0. 'coq/Coq_PArith_BinPos_Pos_min_le_compat_l' 'hl/thm/Library/prime/DIVIDES_MUL_L_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_sub_le_add_r' 'hl/thm/int/INT_LT_SUB_RADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_max_l' 'hl/thm/realax/HREAL_LE_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_lor' 'hl/thm/Multivariate/transcendentals/REAL_EXP_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_pos_cancel_l'#@#variant 'hl/thm/real/REAL_LT_MUL_EQ_0'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_sqrt_2' 'hl/thm/Library/calc_real/REAL_EXP_13_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_pow_le_mono_r'#@#variant 'hl/thm/real/REAL_LT_LMUL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_pred_l' 'hl/thm/int/INT_NEG_LMUL_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_sgn' 'hl/thm/Multivariate/transcendentals/CX_SIN_'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_lt' 'hl/thm/int/int_gt_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_lub_lt_iff' 'hl/thm/int/INT_MAX_LE_'
0. 'coq/Coq_ZArith_BinInt_Z_even_1'#@#variant 'hl/thm/Multivariate/complexes/IM_II_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lcm_assoc' 'hl/thm/realax/TREAL_MUL_ASSOC_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_gt_cases' 'hl/thm/real/REAL_NOT_EQ_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_log2' 'hl/thm/Multivariate/transcendentals/CX_TAN_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_of_Q' 'hl/thm/Multivariate/vectors/LIFT_DROP_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_1_l'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_odd_1'#@#variant 'hl/thm/nums/ZERO_DEF_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_null_iff' 'hl/thm/real/REAL_INV_EQ_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div_small' 'hl/thm/arith/DIV_LT_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mod_same' 'hl/thm/arith/MOD_REFL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_succ_inj_wd' 'hl/thm/real/REAL_EQ_NEG2_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_le_compat_r' 'hl/thm/Library/integer/INT_DIVIDES_MUL_R_'
0. 'coq/Coq_ZArith_Zdiv_Zmod_0_r' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RZERO_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zeq_plus_swap' 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_lt_mono_r' 'hl/thm/arith/LE_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_le_mono' 'hl/thm/Multivariate/transcendentals/ATN_MONO_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_mul_r' 'hl/thm/Library/integer/INT_DIVIDES_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LT_'
0. 'coq/Coq_Reals_Rminmax_R_opp_max_distr' 'hl/thm/Complex/complex_transc/CEXP_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_le_mono' 'hl/thm/Library/transc/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_move_r' 'hl/thm/int/INT_EQ_SUB_LADD_'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_succ' 'hl/thm/Multivariate/complexes/CX_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_lor'#@#variant 'hl/thm/Library/transc/LN_MUL_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sub_le_mono_r' 'hl/thm/realax/NADD_LE_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_eq_0' 'hl/thm/Complex/complexnumbers/COMPLEX_ENTIRE_'#@#variant
0. 'coq/Coq_Reals_AltSeries_Alt_PI_RGT_0' 'hl/thm/Library/transc/PI2_BOUNDS_1'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div2_nonneg'#@#variant 'hl/thm/calc_num/ARITH_40'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_lt_mono_pos_l'#@#variant 'hl/thm/real/REAL_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_glb_lt_iff' 'hl/thm/int/INT_LT_MIN_'
0. 'coq/Coq_NArith_BinNat_N_div_0_l' 'hl/thm/arith/DIV_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_pos_cancel_l'#@#variant 'hl/thm/real/REAL_LT_MUL_EQ_0'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_divide_l' 'hl/thm/Library/analysis/SUB_LESS_EQ_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_add_cancel_r' 'hl/thm/Library/prime/DIVIDES_ADD_REVR_'
0. 'coq/Coq_NArith_BinNat_N_divide_factor_l' 'hl/thm/real/REAL_MAX_MAX_/0'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pred_div2_up' 'hl/thm/Complex/complex_transc/CX_CSIN_'
0. 'coq/Coq_ZArith_Zorder_Zle_0_nat'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_POS_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_sub_lt_add_r' 'hl/thm/int/INT_LT_ADD_SUB_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_iff' 'hl/thm/Multivariate/complexes/CX_INJ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_le_compat_r' 'hl/thm/arith/EXP_MONO_LE_IMP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_mod_idemp_l' 'hl/thm/arith/MOD_EXP_MOD_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_pred' 'hl/thm/Library/transc/REAL_EXP_NEG_'
0. 'coq/Coq_Arith_PeanoNat_Nat_odd_1'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_add_lt_mono_l' 'hl/thm/int/INT_LT_LADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_le_iff' 'hl/thm/int/INT_MIN_LT_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lxor_0_l' 'hl/thm/int/INT_MUL_LID_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_add_le_sub_r' 'hl/thm/real/REAL_LE_SUB_RADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_add_distr' 'hl/thm/arith/EXP_MULT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_0_r' 'hl/thm/calc_int/REAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zle_not_lt' 'hl/thm/arith/LTE_ANTISYM_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_lt_lin'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_LT_X_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_gcd_greatest' 'hl/thm/Library/prime/DIVIDES_ADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_le_mono' 'hl/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_le_mono_l' 'hl/thm/Library/prime/DIVIDES_EXP_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_pos'#@#variant 'hl/thm/real/REAL_SGN_INEQS_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_nonneg_l'#@#variant 'hl/thm/real/REAL_LE_LMUL_'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_gt' 'hl/thm/realax/NADD_OF_NUM_LE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_lt_lin' 'hl/thm/Multivariate/transcendentals/LOG_LT_X_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_le' 'hl/thm/int/int_gt_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_0_r' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RZERO_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_le_compat_r' 'hl/thm/realax/NADD_LE_RMUL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_succ_not_1' 'hl/thm/Complex/complex_transc/CEXP_NONZERO_'#@#variant
0. 'coq/Coq_Sets_Powerset_Intersection_maximal' 'hl/thm/Multivariate/vectors/ORTHOGONAL_CLAUSES_4'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_eq_0' 'hl/thm/arith/MULT_EQ_0_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_nlt_ge' 'hl/thm/int/INT_LT_'
0. 'coq/Coq_ZArith_BinInt_Z_log2_double'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_INV_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_lt_mono_nonneg'#@#variant 'hl/thm/real/REAL_LE_MUL2_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_nonneg'#@#variant 'hl/thm/Library/floor/RATIONAL_INV_EQ_'
0. 'coq/Coq_ZArith_Zquot_Zquot_Zquot' 'hl/thm/Library/prime/EXP_EXP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_neq_0_succ' 'hl/thm/Complex/complex_transc/CEXP_NONZERO_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_quot_pos'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_LE_1_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_divide_refl' 'hl/thm/Library/integer/INT_DIVIDES_REFL_'
0. 'coq/Coq_PArith_BinPos_Pos_lt_le_incl' 'hl/thm/realax/NADD_EQ_IMP_LE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_le_lin'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_LT_X_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_le_mono_r' 'hl/thm/arith/LT_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_opp_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LNEG_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_sub' 'hl/thm/int/INT_OF_NUM_SUB_'
0. 'coq/Coq_Reals_RIneq_Rplus_lt_le_0_compat'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_LT_1_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_sub_diag' 'hl/thm/arith/SUB_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_mul_l' 'hl/thm/Library/integer/INT_DIVIDES_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_sub_le_add_r' 'hl/thm/real/REAL_LT_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_r' 'hl/thm/arith/EXP_MONO_LE_IMP_'
0. 'coq/Coq_Reals_RIneq_Rle_not_lt' 'hl/thm/int/INT_LET_ANTISYM_'
0. 'coq/Coq_Reals_Rtrigo_calc_deg_rad' 'hl/thm/Multivariate/transcendentals/ATN_TAN_'
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_1_r'#@#variant 'hl/thm/realax/HREAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_refl' 'hl/thm/Complex/cpoly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_le_compat_r' 'hl/thm/Library/prime/LESS_MONO_ADD_'
0. 'coq/Coq_Reals_Rbasic_fun_RRle_abs' 'hl/thm/real/REAL_ABS_LE_'
0. 'coq/Coq_Arith_PeanoNat_Nat_odd_sub' 'hl/thm/real/REAL_OF_NUM_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_square_nonneg'#@#variant 'hl/thm/int/INT_LE_SQUARE_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_inv_normc' 'hl/thm/int/int_neg_th_'
0. 'coq/Coq_ZArith_BinInt_Z_land_m1_l'#@#variant 'hl/thm/arith/MULT_CLAUSES_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_add_lt_sub_r' 'hl/thm/int/INT_LE_SUB_LADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_setbit_spec_prime'#@#variant 'hl/thm/Complex/complexnumbers/complex_sub_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_asymm' 'hl/thm/real/REAL_LT_GT_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_sub_lt' 'hl/thm/arith/DIV_LT_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_le_mono_pos_r'#@#variant 'hl/thm/real/REAL_LE_RMUL_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mod_small' 'hl/thm/arith/MOD_LT_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_eq_cases' 'hl/thm/int/INT_LE_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_abs_l' 'hl/thm/Library/integer/INT_DIVIDES_LABS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_divide_mono_r' 'hl/thm/realax/HREAL_LE_MUL_RCANCEL_IMP_'
0. 'coq/Coq_Reals_Rtrigo1_sin_gt_0'#@#variant 'hl/thm/Library/transc/TAN_POS_PI2_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_rem' 'hl/thm/arith/MOD_ADD_MOD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_le_compat_r' 'hl/thm/Library/prime/DIVIDES_EXP_'
0. 'coq/Coq_Structures_OrderedTypeEx_PositiveOrderedTypeBits_bits_lt_antirefl' 'hl/thm/realarith/REAL_LT_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_clearbit_spec_prime'#@#variant 'hl/thm/realax/real_sub_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_le_mono_l' 'hl/thm/real/REAL_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_greatest' 'hl/thm/Library/prime/DIVIDES_SUB_'
0. 'coq/Coq_ZArith_Zquot_Zquot_opp_l' 'hl/thm/arith/ADD_CLAUSES_2'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_odd_0' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rplus_le_compat_r' 'hl/thm/realax/HREAL_LE_MUL_RCANCEL_IMP_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_ngt' 'hl/thm/int/INT_NOT_LT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_eq_iff'#@#variant 'hl/thm/real/REAL_ABS_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_inj_wd' 'hl/thm/Library/transc/REAL_EXP_INJ_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_irrefl' 'hl/thm/realarith/REAL_LT_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_refl' 'hl/thm/int/INT_LE_REFL_'
0. 'coq/__constr_Coq_Arith_Even_even_0_2' 'hl/thm/Library/pratt/PHI_LOWERBOUND_1_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_eq_mul_0' 'hl/thm/arith/MULT_EQ_0_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_le_max_l' 'hl/thm/real/REAL_MAX_MAX_/0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_odd_sub' 'hl/thm/int/INT_OF_NUM_SUB_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_le_mono_l' 'hl/thm/int/INT_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_1_l'#@#variant 'hl/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_nle_gt' 'hl/thm/int/INT_NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_mod_idemp_r' 'hl/thm/arith/MOD_MULT_RMOD_'#@#variant
0. 'coq/Coq_Bool_Bool_orb_false_l' 'hl/thm/realax/REAL_ADD_LID_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_div2' 'hl/thm/int/int_sgn_th_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_lt_mono_l_iff' 'hl/thm/Library/integer/INT_DIVIDES_RMUL2_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_pos'#@#variant 'hl/thm/Multivariate/transcendentals/REAL_EXP_LT_1_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lt_gt_cases' 'hl/thm/real/REAL_NOT_EQ_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_ge' 'hl/thm/realax/NADD_OF_NUM_LE_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_lt_iff' 'hl/thm/int/INT_MIN_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_div_1_r' 'hl/thm/arith/ADD_0_'
0. 'coq/Coq_Arith_Plus_plus_lt_compat_l' 'hl/thm/Library/integer/INT_DIVIDES_MUL_L_'
0. 'coq/Coq_Arith_Mult_mult_le_compat_l' 'hl/thm/realax/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_le_mono' 'hl/thm/arith/FACT_MONO_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div_same'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_DIV_REFL_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_le_succ_diag_r' 'hl/thm/real/REAL_ABS_LE_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_double_plus_one' 'hl/thm/Complex/complexnumbers/CX_INV_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mod_same' 'hl/thm/arith/MOD_REFL_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_total' 'hl/thm/Library/analysis/LESS_CASES_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_1_l' 'hl/thm/int/INT_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_nge' 'hl/thm/realarith/REAL_NOT_LT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_add' 'hl/thm/arith/ADD_SUB_'
0. 'coq/Coq_NArith_BinNat_N_log2_lor' 'hl/thm/Complex/complex_transc/CEXP_SUB_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_pos'#@#variant 'hl/thm/real/REAL_SGN_INEQS_0'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_0_l_prime' 'hl/thm/arith/DIV_0_'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qcdiv_mult_l'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_DIV_RMUL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_divide' 'hl/thm/int/num_divides_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_even_sub' 'hl/thm/int/INT_OF_NUM_SUB_'
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_succ_le' 'hl/thm/Library/floor/FLOOR_DOUBLE_/0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_neq_0_succ' 'hl/thm/arith/FACT_NZ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_1_r'#@#variant 'hl/thm/arith/ADD1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_l' 'hl/thm/int/INT_LE_LADD_IMP_'
0. 'coq/Coq_NArith_BinNat_N_add_lt_mono_r' 'hl/thm/arith/LT_ADD_RCANCEL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_opp_l' 'hl/thm/Multivariate/transcendentals/RPOW_INV_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_lt_mono_r' 'hl/thm/arith/LE_ADD_RCANCEL_'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tminus_def_stable' 'hl/thm/Library/multiplicative/MULTIPLICATIVE_TAU_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_le_mono_r'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_neq_succ_0' 'hl/thm/Library/transc/REAL_EXP_NZ_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_mul_l' 'hl/thm/Library/prime/DIVIDES_RMUL_'
0. 'coq/Coq_PArith_BinPos_Pos_gcd_divide_l' 'hl/thm/Library/analysis/SUB_LESS_EQ_'
0. 'coq/Coq_Arith_Plus_plus_lt_compat_r' 'hl/thm/realax/NADD_LE_RMUL_'
0. 'coq/Coq_Reals_RIneq_Rmult_lt_reg_r'#@#variant 'hl/thm/real/REAL_LE_RCANCEL_IMP_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_succ_not_1' 'hl/thm/nums/IND_SUC_0_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_0_r' 'hl/thm/calc_int/REAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_divide_r' 'hl/thm/Library/prime/INDEX_TRIVIAL_BOUND_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_sub_le' 'hl/thm/arith/DIV_LT_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lcm_1_l'#@#variant 'hl/thm/realax/REAL_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_le_mono' 'hl/thm/Library/transc/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_succ_l' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_LMUL_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_m1'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_le_nlt' 'hl/thm/realax/real_lt_'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_div2' 'hl/thm/Multivariate/complexes/IM_CNJ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_le_compat_r' 'hl/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rmult_ne/1' 'hl/thm/realax/HREAL_ADD_LID_'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_ge_le_iff' 'hl/thm/int/INT_GT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_divide_iff' 'hl/thm/real/REAL_LT_MIN_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_eq_le_incl' 'hl/thm/real/REAL_EQ_IMP_LE_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_shuffle3' 'hl/thm/int/INT_MIN_ACI_2'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_lor' 'hl/thm/Multivariate/transcendentals/REAL_EXP_SUB_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_nlt' 'hl/thm/int/INT_NOT_LE_'
0. 'coq/Coq_ZArith_BinInt_Z_ldiff_land' 'hl/thm/Multivariate/complexes/complex_div_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_sub_le_add_r' 'hl/thm/int/INT_LT_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_shuffle3' 'hl/thm/real/REAL_MAX_ACI_2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_ngt' 'hl/thm/int/INT_NOT_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_nonneg'#@#variant 'hl/thm/real/REAL_LT_MUL2_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_lt_mono_r' 'hl/thm/realax/NADD_LE_RADD_'
0. 'coq/Coq_ZArith_BinInt_Z_add_diag'#@#variant 'hl/thm/arith/MULT_2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_max_r' 'hl/thm/arith/LE_ADDR_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_sub' 'hl/thm/arith/ADD_SUB_'
0. 'coq/Coq_NArith_BinNat_N_log2_up_pos'#@#variant 'hl/thm/Library/pocklington/PHI_LOWERBOUND_2_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_glb_lt_iff' 'hl/thm/int/INT_LE_MIN_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_sub' 'hl/thm/arith/ADD_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_pred_succ' 'hl/thm/Library/transc/LN_EXP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_square_spec' 'hl/thm/Library/analysis/REAL_DOUBLE_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_pos'#@#variant 'hl/thm/calc_num/ARITH_44'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lcm_0_r' 'hl/thm/Library/prime/INDEX_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_le_compat_r' 'hl/thm/realax/NADD_LE_RMUL_'
0. 'coq/Coq_ZArith_BinInt_Z_ldiff_land' 'hl/thm/realax/real_div_'
0. 'coq/Coq_ZArith_BinInt_Z_sgn_neg_iff'#@#variant 'hl/thm/int/INT_SGN_EQ_2'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_null'#@#variant 'hl/thm/real/REAL_SGN_EQ_2'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_div2' 'hl/thm/Multivariate/transcendentals/CX_TAN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_lt_add_r' 'hl/thm/Library/integer/INT_DIVIDES_RMUL_'
0. 'coq/Coq_ZArith_BinInt_Z_div2_nonneg'#@#variant 'hl/thm/Library/floor/INTEGER_ABS_'
0. 'coq/Coq_Reals_Ratan_ps_atan_opp' 'hl/thm/calc_num/ARITH_2'
0. 'coq/Coq_Arith_PeanoNat_Nat_max_le_compat_l' 'hl/thm/realax/REAL_LE_LADD_IMP_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_succ_r' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_RMUL_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_inv_norm' 'hl/thm/Multivariate/transcendentals/REAL_TAN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_gt_cases' 'hl/thm/int/INT_LTE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftl_1_l'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_pos'#@#variant 'hl/thm/Library/pratt/PHI_LOWERBOUND_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_le_mono_l' 'hl/thm/realax/HREAL_LE_MUL_RCANCEL_IMP_'
0. 'coq/Coq_Reals_R_sqrt_sqrt_positivity'#@#variant 'hl/thm/Library/floor/INTEGER_CLOSED_6'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_nonneg'#@#variant 'hl/thm/real/REAL_NEG_GT0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_le_mono_r' 'hl/thm/arith/LT_ADD_RCANCEL_'
0. 'coq/Coq_Reals_Rbasic_fun_abs_IZR' 'hl/thm/Complex/complex_transc/CX_CSIN_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_pos'#@#variant 'hl/thm/Library/pocklington/PHI_LOWERBOUND_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_neg'#@#variant 'hl/thm/real/REAL_NEG_LE0_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_le_compat_l' 'hl/thm/Library/integer/INT_DIVIDES_MUL_L_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_eq_opp_r' 'hl/thm/real/REAL_NEG_EQ_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_le_compat_r' 'hl/thm/realax/HREAL_LE_MUL_RCANCEL_IMP_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_succ_max_distr' 'hl/thm/int/INT_ABS_TRIANGLE_'
0. 'coq/Coq_ZArith_BinInt_Z_shiftr_opp_r' 'hl/thm/realax/real_sub_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_2' 'hl/thm/Multivariate/transcendentals/SIN_0_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_ge_cases' 'hl/thm/arith/LET_CASES_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_le_compat_l' 'hl/thm/Library/prime/DIVIDES_MUL_L_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_land_0_r' 'hl/thm/int/INT_MUL_RZERO_'#@#variant
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_incr' 'hl/thm/Multivariate/transcendentals/CX_SIN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_rem_opp_l_prime' 'hl/thm/Multivariate/transcendentals/RPOW_INV_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_lt_mono_r' 'hl/thm/realax/HREAL_LE_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_quot_pos'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_LE_1_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lnot_neg'#@#variant 'hl/thm/int/INT_NEG_LE0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lor_0_l' 'hl/thm/int/INT_ADD_LID_'#@#variant
0. 'coq/Coq_Bool_Bool_xorb_false_l' 'hl/thm/arith/MULT_CLAUSES_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_trichotomy' 'hl/thm/int/INT_LT_TOTAL_'
0. 'coq/Coq_Reals_Rtrigo1_tan_neg' 'hl/thm/Multivariate/transcendentals/CNJ_CSIN_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_lcm_l' 'hl/thm/arith/LE_ADD_'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tred_factor4_stable' 'hl/thm/Library/multiplicative/MULTIPLICATIVE_TAU_'
0. 'coq/Coq_Lists_List_incl_app' 'hl/thm/Multivariate/vectors/ORTHOGONAL_CLAUSES_8'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lcm_eq_0' 'hl/thm/Complex/complexnumbers/COMPLEX_ENTIRE_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_square' 'hl/thm/int/int_sgn_th_'
0. 'coq/Coq_ZArith_BinInt_Z_opp_neg_pos'#@#variant 'hl/thm/real/REAL_NEG_LE0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div_add_l' 'hl/thm/arith/DIV_MULT_ADD_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lxor_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant
0. 'coq/Coq_Reals_Rtrigo_calc_sin_lb_ge_0'#@#variant 'hl/thm/Library/transc/SIN_POS_PI2_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_move_r' 'hl/thm/int/INT_EQ_SUB_RADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_1_l'#@#variant 'hl/thm/int/INT_NEG_MINUS1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lxor_lnot_lnot' 'hl/thm/arith/SUB_ADD_RCANCEL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_lt_mono_l' 'hl/thm/real/REAL_LE_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_odd_1'#@#variant 'hl/thm/Multivariate/complexes/IM_II_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_eq_opp_l' 'hl/thm/real/REAL_NEG_EQ_'
0. 'coq/Coq_Arith_Lt_lt_0_neq'#@#variant 'hl/thm/Library/prime/PRIME_IMP_NZ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_min_l' 'hl/thm/int/INT_MIN_MIN_/0'
0. 'coq/Coq_ZArith_BinInt_Zopp_mult_distr_l' 'hl/thm/Multivariate/transcendentals/REAL_INV_RPOW_'
0. 'coq/Coq_PArith_BinPos_Pos_square_spec' 'hl/thm/Library/analysis/REAL_DOUBLE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_lt_mono_r' 'hl/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_Reals_Rtrigo1_tan_neg' 'hl/thm/Library/transc/TAN_NEG_'
0. 'coq/Coq_Reals_SeqProp_UL_sequence' 'hl/thm/Library/analysis/SER_UNIQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_divide_iff' 'hl/thm/real/REAL_LT_MIN_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sub_0_le' 'hl/thm/arith/SUB_EQ_0_'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tplus_assoc_r_stable' 'hl/thm/Library/multiplicative/MULTIPLICATIVE_SIGMA_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_cancel_l' 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_gt_cases' 'hl/thm/real/REAL_NOT_EQ_'
0. 'coq/Coq_Arith_Max_le_max_r' 'hl/thm/int/INT_MAX_MAX_/1'
0. 'coq/Coq_Reals_Rtrigo1_sin_ge_0'#@#variant 'hl/thm/Multivariate/transcendentals/TAN_POS_PI2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_pos_r'#@#variant 'hl/thm/real/REAL_LE_RMUL_EQ_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_eq_1'#@#variant 'hl/thm/arith/MULT_EQ_1_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_le_max_r' 'hl/thm/int/INT_MAX_MAX_/1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_0_sub'#@#variant 'hl/thm/int/INT_SUB_LE_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_odd_0' 'hl/thm/Multivariate/complexes/IM_II_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_le_sub_le_add_r' 'hl/thm/int/INT_LT_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_le_mono_nonneg_l'#@#variant 'hl/thm/real/REAL_LE_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_pow2'#@#variant 'hl/thm/Multivariate/transcendentals/EXP_LOG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_le_lt_mono' 'hl/thm/int/INT_LET_ADD2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_pred' 'hl/thm/arith/PRE_1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_2' 'hl/thm/real/REAL_SGN_0_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_divide_mono_r' 'hl/thm/Library/analysis/LESS_MONO_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_sub_diag' 'hl/thm/real/REAL_SUB_REFL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_le_succ_diag_r' 'hl/thm/real/REAL_ABS_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_rem_opp_l_prime' 'hl/thm/calc_int/REAL_MUL_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_sub_l' 'hl/thm/real/REAL_MIN_MIN_/0'
0. 'coq/Coq_Reals_SeqProp_CV_minus' 'hl/thm/Library/analysis/SER_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_glb' 'hl/thm/Library/prime/DIVIDES_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_pos'#@#variant 'hl/thm/real/REAL_LE_INV_EQ_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_le_max_r' 'hl/thm/arith/LE_ADDR_'
0. 'coq/Coq_ZArith_BinInt_Z_div_0_l' 'hl/thm/arith/MOD_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_divide_iff' 'hl/thm/int/INT_LE_MIN_'
0. 'coq/Coq_NArith_BinNat_N_neq_0_lt_0'#@#variant 'hl/thm/arith/LT_NZ_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_add_cancel_r' 'hl/thm/Library/integer/INT_DIVIDES_ADD_REVR_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lcm_1_l'#@#variant 'hl/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_lt_mono_r' 'hl/thm/arith/LT_ADD_RCANCEL_'
0. 'coq/Coq_ZArith_BinInt_Zminus_plus_simpl_l_reverse' 'hl/thm/arith/SUB_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_cancel_r' 'hl/thm/int/INT_EQ_ADD_RCANCEL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pow_le_mono_l' 'hl/thm/Library/prime/DIVIDES_EXP_'
0. 'coq/Coq_Reals_Rtopology_compact_P2' 'hl/thm/Multivariate/realanalysis/REAL_COMPACT_IMP_CLOSED_'
0. 'coq/Coq_ZArith_Zorder_Zle_not_lt' 'hl/thm/realarith/REAL_LTE_ANTISYM_'
0. 'coq/Coq_Arith_PeanoNat_Nat_nle_gt' 'hl/thm/Library/analysis/real_le_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_le_mono' 'hl/thm/Library/transc/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_lub_lt_iff' 'hl/thm/real/REAL_MAX_LT_'
0. 'coq/Coq_QArith_Qabs_Qabs_opp' 'hl/thm/Multivariate/transcendentals/REAL_ABS_SIN_BOUND_LE_'
0. 'coq/Coq_Reals_Rtopology_compact_P1' 'hl/thm/Multivariate/realanalysis/REAL_COMPACT_IMP_CLOSED_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_eq_0' 'hl/thm/arith/MULT_EQ_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_succ_r' 'hl/thm/int/INT_MUL_RNEG_'
0. 'coq/Coq_NArith_BinNat_N_divide_add_r' 'hl/thm/Library/prime/DIVIDES_SUB_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_refl' 'hl/thm/Library/poly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_min_glb_lt' 'hl/thm/Library/prime/DIVIDES_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_opp' 'hl/thm/int/INT_ABS_SGN_'
0. 'coq/Coq_QArith_Qminmax_Q_min_lt_iff' 'hl/thm/real/REAL_MIN_LT_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_le_compat_r' 'hl/thm/realax/NADD_LE_RMUL_'
0. 'coq/Coq_NArith_BinNat_N_odd_2'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pow_lt_mono'#@#variant 'hl/thm/Library/analysis/REAL_LE_MUL2V_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_succ_r' 'hl/thm/int/INT_NEG_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_le_mono_l' 'hl/thm/realax/HREAL_LE_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pred_le_mono' 'hl/thm/arith/FACT_MONO_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_alt_dichotomy' 'hl/thm/realax/NADD_LE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div2_neg' 'hl/thm/real/REAL_SGN_INEQS_7'#@#variant
0. 'coq/Coq_Arith_Div2_div2_double'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_EXP_'
0. 'coq/Coq_Reals_Rpower_ln_increasing'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_MONO_LT_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_1_l'#@#variant 'hl/thm/Library/integer/INT_DIVIDES_1_'#@#variant
0. 'coq/Coq_Bool_Bool_xorb_negb_negb' 'hl/thm/int/INT_NEG_MUL2_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_0_iff' 'hl/thm/Multivariate/vectors/SQRT_EQ_0_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lt_lt_add_r' 'hl/thm/Library/prime/DIVIDES_RMUL_'
0. 'coq/Coq_QArith_Qpower_Qpower_pos_positive'#@#variant 'hl/thm/Library/floor/INTEGER_CLOSED_4'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_nge' 'hl/thm/realax/real_lt_'
0. 'coq/Coq_NArith_BinNat_N_sub_succ' 'hl/thm/int/INT_NEG_MUL2_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_square_spec' 'hl/thm/real/REAL_MUL_2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_cancel_r' 'hl/thm/realax/HREAL_EQ_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_0_succ' 'hl/thm/Multivariate/transcendentals/ATN_BOUNDS_/0'#@#variant
0. 'coq/Coq_Arith_Plus_plus_lt_le_compat' 'hl/thm/real/REAL_LTE_ADD2_'
0. 'coq/Coq_ZArith_BinInt_Z_le_min_r' 'hl/thm/int/INT_MIN_MIN_/1'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mod_0_l' 'hl/thm/arith/MOD_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_le_lin'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_LT_X_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_min_le_compat_r' 'hl/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_iff' 'hl/thm/Complex/complexnumbers/CX_INJ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_succ' 'hl/thm/Library/transc/LN_EXP_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_le_mono' 'hl/thm/arith/FACT_MONO_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_max_r' 'hl/thm/int/INT_MAX_MAX_/1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_0_r' 'hl/thm/Library/prime/DIVIDES_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lor_0_l' 'hl/thm/realax/HREAL_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_add_le_sub_r' 'hl/thm/real/REAL_LE_SUB_LADD_'
0. 'coq/Coq_ZArith_BinInt_Z_shiftr_opp_r' 'hl/thm/Complex/complexnumbers/complex_div_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_1_l' 'hl/thm/realax/HREAL_MUL_LID_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lnot_neg'#@#variant 'hl/thm/int/INT_NEG_LT0_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_lcm_l' 'hl/thm/realax/HREAL_LE_ADD_'
0. 'coq/Coq_PArith_BinPos_Pos_max_le_compat_r' 'hl/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_clearbit_spec_prime'#@#variant 'hl/thm/realax/real_sub_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_le_compat_r' 'hl/thm/Library/prime/DIVIDES_EXP_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_xO'#@#variant 'hl/thm/int/int_sgn_th_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_0_l_prime' 'hl/thm/arith/MOD_0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_divide_mono_r' 'hl/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_le_iff' 'hl/thm/int/INT_MIN_LT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sub_diag' 'hl/thm/int/INT_SUB_REFL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Zopp_mult_distr_l' 'hl/thm/int/INT_NEG_LMUL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_square_spec' 'hl/thm/arith/BIT0_'
0. 'coq/Coq_Reals_Rminmax_R_min_le_compat_r' 'hl/thm/Library/prime/DIVIDES_MUL_R_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_glb_iff' 'hl/thm/int/INT_LT_MIN_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_0_iff' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_EQ_0_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_1_r' 'hl/thm/arith/SUB_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_divide_iff' 'hl/thm/int/INT_LE_MIN_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_0_l' 'hl/thm/arith/DIV_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_alt_dichotomy' 'hl/thm/realax/TREAL_LE_TOTAL_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_succ_inj_wd' 'hl/thm/Multivariate/transcendentals/ATN_INJ_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_eq_cases' 'hl/thm/int/INT_LE_LT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_2' 'hl/thm/Multivariate/transcendentals/SIN_0_'
0. 'coq/Coq_QArith_Qabs_Qabs_wd' 'hl/thm/Multivariate/transcendentals/ATN_MONO_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_1_r'#@#variant 'hl/thm/arith/MULT_0_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_succ_l' 'hl/thm/int/INT_NEG_LMUL_'
0. 'coq/Coq_Reals_Rtrigo1_sin_lb_gt_0'#@#variant 'hl/thm/Library/transc/COS_POS_PI2_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lcm_0_r' 'hl/thm/Library/prime/INDEX_0_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_id' 'hl/thm/Library/floor/INT_OF_REAL_OF_INT_'
0. 'coq/Coq_Reals_Exp_prop_div2_double'#@#variant 'hl/thm/Library/transc/ATN_/2'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_le_trans' 'hl/thm/realarith/REAL_LTE_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_add_r' 'hl/thm/Library/prime/DIVIDES_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_quot_0_l' 'hl/thm/arith/MOD_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_le_mono' 'hl/thm/realax/NADD_INV_WELLDEF_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_lt_mono_r' 'hl/thm/realax/HREAL_LE_ADD_RCANCEL_'
0. 'coq/Coq_NArith_BinNat_N_max_le_compat_r' 'hl/thm/realax/HREAL_LE_MUL_RCANCEL_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_lor' 'hl/thm/Complex/complex_transc/CEXP_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pred_le_mono' 'hl/thm/Multivariate/transcendentals/ATN_MONO_LT_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_cancel_r' 'hl/thm/realax/HREAL_EQ_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_land_m1_l'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lcm_diag' 'hl/thm/arith/MULT_2_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_2'#@#variant 'hl/thm/nums/ZERO_DEF_'
0. 'coq/Coq_Arith_PeanoNat_Nat_max_0_l' 'hl/thm/arith/ADD_CLAUSES_0'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_setbit_spec_prime'#@#variant 'hl/thm/realax/real_div_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_cancel_r' 'hl/thm/realax/HREAL_EQ_ADD_RCANCEL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_cancel_l' 'hl/thm/int/INT_EQ_ADD_LCANCEL_'
0. 'coq/Coq_NArith_Ndist_ni_le_total' 'hl/thm/arith/LE_CASES_'
0. 'coq/Coq_Reals_RIneq_Rge_refl' 'hl/thm/realax/REAL_LE_REFL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_le_mono_r' 'hl/thm/realax/HREAL_LE_ADD_RCANCEL_'
0. 'coq/Coq_QArith_QArith_base_Zle_Qle' 'hl/thm/realax/REAL_OF_NUM_LE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_odd_0' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div2_double' 'hl/thm/Multivariate/transcendentals/LOG_EXP_'
0. 'coq/Coq_Reals_Rtrigo_def_sin_antisym' 'hl/thm/Library/transc/SIN_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_ngt' 'hl/thm/int/INT_NOT_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_rem_opp_l_prime' 'hl/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_even_spec' 'hl/thm/Multivariate/complexes/real_'#@#variant
0. 'coq/Coq_Arith_Even_even_mult_l' 'hl/thm/Multivariate/transcendentals/RPOW_POS_LE_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_succ_pred' 'hl/thm/Complex/complex_transc/CEXP_CLOG_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sub_succ' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_MUL2_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_le_compat_r' 'hl/thm/Library/analysis/LESS_MONO_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_succ_r' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RNEG_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_sub_lt_add_r' 'hl/thm/real/REAL_LE_SUB_RADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div2_nonneg'#@#variant 'hl/thm/Library/transc/ATN_POS_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_min_r' 'hl/thm/int/INT_MIN_MIN_/1'
0. 'coq/__constr_Coq_Arith_Even_even_0_2' 'hl/thm/Library/transc/LN_POS_LT_'#@#variant
0. 'coq/Coq_Reals_Exp_prop_exp_pos_pos'#@#variant 'hl/thm/Library/transc/SQRT_POS_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_null_iff' 'hl/thm/int/INT_NEG_EQ_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_0_r' 'hl/thm/Library/prime/LESS_EQ_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_pos'#@#variant 'hl/thm/real/REAL_SGN_INEQS_1'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_max_lub_iff' 'hl/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_Reals_Rfunctions_pow_le'#@#variant 'hl/thm/int/INT_POW_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_divide_r' 'hl/thm/Library/prime/INDEX_TRIVIAL_BOUND_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_glb_lt_iff' 'hl/thm/int/INT_LE_MIN_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_double_mul' 'hl/thm/int/INT_MUL_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lcm_0_r' 'hl/thm/Library/prime/INDEX_0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lxor_nonneg'#@#variant 'hl/thm/arith/EVEN_ADD_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_gt' 'hl/thm/int/int_gt_'
0. 'coq/Coq_Reals_RIneq_Ropp_Ropp_IZR' 'hl/thm/int/int_sgn_th_'
0. 'coq/Coq_Reals_R_sqrt_sqrt_lt_0'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_MONO_LT_REV_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sub_cancel_l' 'hl/thm/arith/EQ_ADD_LCANCEL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_max_distr' 'hl/thm/Multivariate/transcendentals/REAL_EXP_ADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lxor_0_l' 'hl/thm/int/INT_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_succ_r' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RNEG_'
0. 'coq/Coq_Reals_ROrderedType_ROrder_TO_lt_total' 'hl/thm/arith/LT_CASES_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_nle' 'hl/thm/realarith/REAL_NOT_LT_'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_double'#@#variant 'hl/thm/Multivariate/transcendentals/CX_SIN_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_ge_le_iff' 'hl/thm/arith/GT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div2_nonneg'#@#variant 'hl/thm/Library/transc/ATN_POS_LT_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_lt_iff' 'hl/thm/int/INT_MIN_LT_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_1_l' 'hl/thm/int/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_divide' 'hl/thm/real/REAL_OF_NUM_GE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_trichotomy' 'hl/thm/Library/analysis/LESS_CASES_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_succ_diag_r' 'hl/thm/Library/analysis/LESS_SUC_REFL_'
0. 'coq/Coq_Reals_Cos_plus_cos_plus' 'hl/thm/Multivariate/transcendentals/COS_ADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LT_'
0. 'coq/Coq_Reals_RIneq_Rnot_le_lt' 'hl/thm/int/INT_LTE_TOTAL_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_sqrt' 'hl/thm/Multivariate/transcendentals/CX_ATN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_pred_l' 'hl/thm/Library/pratt/PHI_LIMIT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_setbit_spec_prime'#@#variant 'hl/thm/Multivariate/complexes/complex_div_'#@#variant
0. 'coq/Coq_Bool_Bool_orb_true_iff' 'hl/thm/realarith/REAL_ENTIRE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_divide_mono_r' 'hl/thm/Library/prime/LESS_MONO_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_succ_r' 'hl/thm/arith/EXP_1'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_le_mono_r' 'hl/thm/arith/LT_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_clearbit_spec_prime'#@#variant 'hl/thm/int/INT_SUB_'
0. 'coq/Coq_NArith_BinNat_N_eq_mul_1'#@#variant 'hl/thm/arith/ADD_EQ_0_'#@#variant
0. 'coq/Coq_QArith_QArith_base_inject_Z_opp' 'hl/thm/Multivariate/complexes/CX_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_lt_mono_r_iff'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LT_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_add_r' 'hl/thm/Library/integer/INT_DIVIDES_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftl_opp_r' 'hl/thm/Complex/complexnumbers/complex_sub_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_shuffle3' 'hl/thm/calc_int/REAL_ADD_AC_2'
0. 'coq/Coq_Reals_Rfunctions_powerRZ_lt'#@#variant 'hl/thm/real/REAL_POW_LE_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lcm_diag' 'hl/thm/real/REAL_MIN_ACI_3'
0. 'coq/Coq_Reals_Rfunctions_RPow_abs' 'hl/thm/Complex/complexnumbers/COMPLEX_POW_INV_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_odd_1'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_id' 'hl/thm/real/REAL_MAX_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_diag' 'hl/thm/real/REAL_MUL_2_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_divide_mono_r' 'hl/thm/realax/NADD_LE_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_pred_l' 'hl/thm/int/INT_NEG_LMUL_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_lt_0_2' 'hl/thm/Multivariate/transcendentals/PI2_BOUNDS_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_pos'#@#variant 'hl/thm/calc_num/ARITH_40'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_shuffle3' 'hl/thm/Multivariate/complexes/COMPLEX_MUL_AC_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_pow2'#@#variant 'hl/thm/Library/transc/EXP_LN_'#@#variant
0. 'coq/Coq_Reals_Raxioms_Rplus_lt_compat_l' 'hl/thm/realax/NADD_MUL_WELLDEF_LEMMA_'
0. 'coq/Coq_ZArith_Zpower_Zpower_pos_is_exp' 'hl/thm/int/INT_POW_ADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_divide/1' 'hl/thm/int/INT_MIN_MIN_/1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_glb_lt_iff' 'hl/thm/int/INT_LE_MIN_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_lt_0_1' 'hl/thm/Multivariate/transcendentals/PI2_BOUNDS_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_l' 'hl/thm/arith/MOD_LT_'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_lor' 'hl/thm/Complex/complex_transc/CEXP_ADD_'
0. 'coq/Coq_PArith_BinPos_Pos_min_le_compat_l' 'hl/thm/realax/NADD_LE_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_pos'#@#variant 'hl/thm/Library/transc/REAL_EXP_LT_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_gt_cases' 'hl/thm/int/INT_LTE_TOTAL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_le_incl' 'hl/thm/realarith/REAL_LT_IMP_LE_'
0. 'coq/Coq_QArith_Qreduction_Qred_opp' 'hl/thm/Complex/complexnumbers/CNJ_INV_'
0. 'coq/Coq_QArith_QOrderedType_QOrder_le_refl' 'hl/thm/Complex/cpoly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_le_compat_r' 'hl/thm/arith/EXP_MONO_LE_IMP_'
0. 'coq/Coq_ZArith_BinInt_Z_sgn_nonneg'#@#variant 'hl/thm/Library/integer/INT_PRIME_NEG_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_opp' 'hl/thm/Library/transc/COS_NEG_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_pos'#@#variant 'hl/thm/Multivariate/vectors/SQRT_LT_0_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_opp_norm' 'hl/thm/nums/NUM_REP_RULES_1'
0. 'coq/Coq_NArith_BinNat_N_shiftl_1_l'#@#variant 'hl/thm/int/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_2' 'hl/thm/real/REAL_ABS_0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_1_l'#@#variant 'hl/thm/int/INT_NEG_MINUS1_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_log2' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_INV_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_lt_mono_pos_l'#@#variant 'hl/thm/Library/analysis/REAL_LE_LMUL_LOCAL_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_le_mono' 'hl/thm/Library/transc/ATN_MONO_LT_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_ge' 'hl/thm/int/int_gt_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_eq_1'#@#variant 'hl/thm/arith/MULT_EQ_1_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_min_le_compat_r' 'hl/thm/Library/prime/DIVIDES_MUL_R_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_N_of_Z'#@#variant 'hl/thm/int/INT_OF_NUM_OF_INT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_0_l' 'hl/thm/realax/REAL_MUL_LID_'#@#variant
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_lt_not_gt' 'hl/thm/arith/LT_ANTISYM_'
0. 'coq/Coq_ZArith_BinInt_Z_lnot_land' 'hl/thm/Multivariate/transcendentals/REAL_EXP_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_shuffle3' 'hl/thm/int/INT_MUL_AC_2'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_lt_mono_pos_r'#@#variant 'hl/thm/real/REAL_LE_RMUL_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_2' 'hl/thm/realax/HREAL_INV_0_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_succ_pred'#@#variant 'hl/thm/Library/transc/LN_LE_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lt_ge_cases' 'hl/thm/int/INT_LET_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lor_m1_r'#@#variant 'hl/thm/realax/HREAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_min_r' 'hl/thm/int/INT_MIN_MIN_/1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_lor'#@#variant 'hl/thm/Library/transc/LN_DIV_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_rem_opp_l_prime' 'hl/thm/Multivariate/transcendentals/REAL_INV_RPOW_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_le_compat_r' 'hl/thm/Library/prime/DIVIDES_MUL_R_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_1_l' 'hl/thm/realax/REAL_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_le_compat_l' 'hl/thm/Library/integer/INT_DIVIDES_MUL_L_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_add_cancel_r' 'hl/thm/Library/poly/POLY_DIVIDES_SUB_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_cancel_r' 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_ADD_RCANCEL_'
0. 'coq/Coq_ZArith_BinInt_Z_le_lt_trans' 'hl/thm/int/INT_LET_TRANS_'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_pos'#@#variant 'hl/thm/Library/transc/LN_POS_LT_'#@#variant
0. 'coq/Coq_Arith_Gt_gt_Sn_O' 'hl/thm/calc_num/ARITH_83'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_1_l'#@#variant 'hl/thm/realarith/REAL_POLY_NEG_CLAUSES_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftr_div_pow2'#@#variant 'hl/thm/Multivariate/complexes/complex_div_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mod_le' 'hl/thm/arith/DIV_LE_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_lt_mono_pos_r'#@#variant 'hl/thm/real/REAL_LT_DIV2_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_ngt' 'hl/thm/int/INT_NOT_LE_'
0. 'coq/Coq_NArith_BinNat_N_le_min_r' 'hl/thm/Library/prime/INDEX_TRIVIAL_BOUND_'
0. 'coq/Coq_PArith_BinPos_Pos_mul_le_mono_l' 'hl/thm/real/REAL_LT_LADD_'
0. 'coq/Coq_NArith_BinNat_N_add_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant
0. 'coq/Coq_Sets_Powerset_facts_Intersection_commutative' 'hl/thm/Multivariate/vectors/VECTOR_ADD_AC_0'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_sin_lb_gt_0'#@#variant 'hl/thm/Library/transc/SIN_POS_PI2_'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tred_factor6_stable' 'hl/thm/Library/multiplicative/MULTIPLICATIVE_SIGMA_'
0. 'coq/Coq_Reals_Rtrigo1_cos_shift'#@#variant 'hl/thm/Library/transc/COS_SIN_'#@#variant
0. 'coq/Coq_MMaps_MMapPositive_PositiveMap_E_bits_lt_antirefl' 'hl/thm/int/INT_LT_REFL_'
0. 'coq/Coq_Reals_R_sqr_Rsqr_inv' 'hl/thm/Library/analysis/ABS_INV_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_lt_trans' 'hl/thm/arith/LET_TRANS_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_nle_gt' 'hl/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_Reals_Rtrigo_reg_continuity_sin' 'hl/thm/Library/multiplicative/MULTIPLICATIVE_TAU_'
0. 'coq/Coq_ZArith_BinInt_Z_min_le_compat_r' 'hl/thm/Library/prime/LESS_MONO_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_le_compat_r' 'hl/thm/Library/prime/DIVIDES_EXP_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_lt_mono_r' 'hl/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_add_lt_sub_r' 'hl/thm/real/REAL_LT_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_pos'#@#variant 'hl/thm/calc_num/ARITH_40'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_factor_l' 'hl/thm/int/INT_MAX_MAX_/0'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_r' 'hl/thm/Library/integer/INT_DIVIDES_MUL_R_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_pos' 'hl/thm/real/REAL_SGN_INEQS_3'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_nonneg'#@#variant 'hl/thm/real/REAL_LT_MUL2_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_lt_mono_pos_l'#@#variant 'hl/thm/Library/analysis/REAL_LE_LMUL_LOCAL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_1' 'hl/thm/nums/BIT0_DEF_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_pos'#@#variant 'hl/thm/real/REAL_SGN_INEQS_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_pos' 'hl/thm/calc_num/ARITH_80'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_pred_r' 'hl/thm/arith/SUB_1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_move_0_l' 'hl/thm/int/INT_RNEG_UNIQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_glb_lt_iff' 'hl/thm/int/INT_LE_MIN_'
0. 'coq/Coq_QArith_Qabs_Qabs_pos'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_LT_X_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_opp_inj_wd' 'hl/thm/Library/transc/ATN_INJ_'
0. 'coq/Coq_ZArith_Zquot_Zquot_opp_r' 'hl/thm/int/INT_NEG_RMUL_'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_double'#@#variant 'hl/thm/Multivariate/complexes/CX_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_le_mono' 'hl/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_rem_same' 'hl/thm/arith/MOD_REFL_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_max_l' 'hl/thm/arith/LE_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_pred_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LNEG_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_lt_iff' 'hl/thm/real/REAL_LT_MAX_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_pos_neg'#@#variant 'hl/thm/real/REAL_NEG_GT0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_diag' 'hl/thm/arith/BIT0_'
0. 'coq/Coq_Arith_PeanoNat_Nat_odd_0' 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant
0. 'coq/Coq_ZArith_Zlogarithm_log_sup_correct1'#@#variant 'hl/thm/Multivariate/transcendentals/ARG_/0'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_divide_mono_l' 'hl/thm/realax/NADD_MUL_WELLDEF_LEMMA_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_lt_mono_pos_l'#@#variant 'hl/thm/Library/analysis/REAL_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_ZArith_Zquot_Zquot_0_r' 'hl/thm/Library/pocklington/ORDER_1_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_ones_equiv'#@#variant 'hl/thm/calc_num/ARITH_9'
0. 'coq/Coq_ZArith_BinInt_Z_div_mul' 'hl/thm/Complex/complexnumbers/COMPLEX_DIV_RMUL_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_pos'#@#variant 'hl/thm/calc_num/ARITH_40'
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_divide_iff' 'hl/thm/real/REAL_LT_MIN_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_sub' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_pos'#@#variant 'hl/thm/real/REAL_SGN_INEQS_0'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_min_distr' 'hl/thm/realax/TREAL_ADD_LDISTRIB_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_ge_cases' 'hl/thm/realarith/REAL_LET_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_refl' 'hl/thm/Library/poly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_div2_spec'#@#variant 'hl/thm/arith/ADD1_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rmax_r' 'hl/thm/int/INT_MAX_MAX_/1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_nge' 'hl/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lor_assoc' 'hl/thm/realax/TREAL_ADD_ASSOC_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_clearbit_spec_prime'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_RNEG_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_power_pos' 'hl/thm/Library/floor/INTEGER_CLOSED_4'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_opp' 'hl/thm/real/REAL_SGN_INV_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gt_lt_iff' 'hl/thm/realax/real_gt_'
0. 'coq/Coq_ZArith_BinInt_Z_max_le_compat_r' 'hl/thm/realax/NADD_LE_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_add_r' 'hl/thm/Library/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Reals_Rtopology_compact_P2' 'hl/thm/Multivariate/realanalysis/REAL_LEBESGUE_MEASURABLE_COMPACT_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_cancel_l' 'hl/thm/arith/EQ_ADD_LCANCEL_'
0. 'coq/Coq_Reals_Rtrigo1_tan_gt_0'#@#variant 'hl/thm/Multivariate/transcendentals/SIN_POS_PI_LE_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_divide_cancel_r' 'hl/thm/Library/prime/DIVIDES_EXP2_EQ_'#@#variant
0. 'coq/Coq_Reals_Rtopology_compact_P1' 'hl/thm/Multivariate/realanalysis/REAL_LEBESGUE_MEASURABLE_COMPACT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_1_mul_pos'#@#variant 'hl/thm/int/INT_LTE_ADD_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_le_add_le_sub_r' 'hl/thm/int/INT_LE_SUB_LADD_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_incr_twice' 'hl/thm/calc_num/ARITH_4'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_glb' 'hl/thm/Library/prime/DIVIDES_SUB_'
0. 'coq/Coq_ZArith_Zorder_Zgt_succ' 'hl/thm/Library/pratt/PHI_LIMIT_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_square' 'hl/thm/Multivariate/transcendentals/CX_SIN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_opp' 'hl/thm/Multivariate/complexes/CNJ_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lxor_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_le_max_r' 'hl/thm/arith/LE_ADDR_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_2' 'hl/thm/real/REAL_SGN_0_'
0. 'coq/Coq_ZArith_Zorder_Zsucc_lt_compat' 'hl/thm/Library/floor/FLOOR_MONO_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_le_mono' 'hl/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_1_l'#@#variant 'hl/thm/int/INT_NEG_MINUS1_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_nlt_ge' 'hl/thm/arith/NOT_LT_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_ge_le_iff' 'hl/thm/int/INT_GT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_0_iff' 'hl/thm/int/INT_SGN_INEQS_9'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_max_l' 'hl/thm/real/REAL_MAX_MAX_/0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lxor_m1_l'#@#variant 'hl/thm/int/INT_NEG_MINUS1_'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_fusion_cancel_stable' 'hl/thm/Multivariate/realanalysis/POLYNOMIAL_FUNCTION_BERNOULLI_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_le_mono_l' 'hl/thm/realax/HREAL_LE_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_abs_l' 'hl/thm/Library/integer/INT_DIVIDES_LNEG_'
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_l' 'hl/thm/Library/integer/INT_DIVIDES_MUL_L_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_refl' 'hl/thm/Library/poly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rlt_irrefl' 'hl/thm/realarith/REAL_LT_REFL_'
0. 'coq/Coq_PArith_BinPos_Pos_mul_le_mono_l' 'hl/thm/int/INT_LE_LADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lxor_m1_l'#@#variant 'hl/thm/int/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_le_compat_l' 'hl/thm/Library/prime/DIVIDES_MUL_L_'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_pos'#@#variant 'hl/thm/Multivariate/transcendentals/REAL_EXP_LT_1_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_nonneg_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LT_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zplus_gt_compat_r' 'hl/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_lub_iff' 'hl/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_QArith_Qminmax_Q_min_le_iff' 'hl/thm/int/INT_MIN_LE_'
0. 'coq/Coq_Reals_Rbasic_fun_Rle_max_compat_l' 'hl/thm/Library/integer/INT_DIVIDES_MUL_L_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_id' 'hl/thm/int/INT_MAX_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_rem_1_r'#@#variant 'hl/thm/arith/MOD_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_le_lin'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_LE_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_add_lt_sub_r' 'hl/thm/int/INT_LE_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_lt_lin'#@#variant 'hl/thm/Library/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_glb_iff' 'hl/thm/int/INT_LT_MIN_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_lt_mono_l' 'hl/thm/int/INT_LT_LADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_pred_succ' 'hl/thm/Multivariate/transcendentals/CCOS_CACS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_1_r'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RZERO_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_2' 'hl/thm/real/REAL_ABS_0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_even_0' 'hl/thm/Multivariate/complexes/RE_II_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_add_r' 'hl/thm/Library/prime/DIVIDES_ADD_'
0. 'coq/Coq_NArith_BinNat_N_le_alt_dichotomy' 'hl/thm/realax/TREAL_LE_TOTAL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sub_succ_r' 'hl/thm/arith/SUB_1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_opp' 'hl/thm/Complex/complexnumbers/CNJ_NEG_'
0. 'coq/Coq_ZArith_BinInt_Z_add_pred_l' 'hl/thm/Multivariate/transcendentals/REAL_INV_RPOW_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_lt_succ_r' 'hl/thm/Library/analysis/LESS_SUC_'
0. 'coq/Coq_PArith_BinPos_Pos_min_id' 'hl/thm/int/INT_MIN_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_lteq' 'hl/thm/int/INT_LE_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_lt_lin'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftr_opp_r' 'hl/thm/int/INT_SUB_RNEG_'
0. 'coq/Coq_Arith_PeanoNat_Nat_succ_inj_wd' 'hl/thm/real/REAL_EQ_NEG2_'
0. 'coq/Coq_NArith_BinNat_N_divide_lcm_l' 'hl/thm/realax/HREAL_LE_ADD_'
0. 'coq/Coq_NArith_BinNat_N_mul_lt_mono_nonneg'#@#variant 'hl/thm/Library/analysis/REAL_LE_MUL2V_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_lt_iff' 'hl/thm/real/REAL_LE_MAX_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_lnot_diag'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_RINV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_sub_le_add_r' 'hl/thm/int/INT_LT_ADD_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_0_sub'#@#variant 'hl/thm/realarith/REAL_SUB_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_div_same'#@#variant 'hl/thm/arith/DIV_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_pos'#@#variant 'hl/thm/Library/pratt/PHI_LOWERBOUND_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_nonneg_cancel_l'#@#variant 'hl/thm/int/INT_LE_MUL_EQ_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_even_0' 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lor_m1_r'#@#variant 'hl/thm/int/INT_MUL_RZERO_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_total' 'hl/thm/Library/prime/LESS_LESS_CASES_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_abs_nat' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_CX_'
0. 'coq/Coq_Arith_Plus_plus_le_compat_r' 'hl/thm/arith/EXP_MONO_LE_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ldiff_ldiff_l' 'hl/thm/arith/EXP_MULT_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_lt_iff' 'hl/thm/real/REAL_LE_MAX_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lxor_nilpotent' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_REFL_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_le_compat_r' 'hl/thm/realax/HREAL_LE_MUL_RCANCEL_IMP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_lt_mono_pos_l'#@#variant 'hl/thm/Library/analysis/REAL_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_le_compat_l' 'hl/thm/int/INT_LE_LADD_IMP_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_divide_r' 'hl/thm/Library/prime/INDEX_TRIVIAL_BOUND_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_glb_lt_iff' 'hl/thm/int/INT_LE_MIN_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_divide_mono_l' 'hl/thm/real/REAL_LT_LADD_IMP_'
0. 'coq/Coq_QArith_Qreals_Q2R_opp' 'hl/thm/Multivariate/complexes/IM_CNJ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_null'#@#variant 'hl/thm/real/REAL_SGN_EQ_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_odd_2'#@#variant 'hl/thm/Multivariate/complexes/RE_II_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_reg_l' 'hl/thm/real/REAL_EQ_LCANCEL_IMP_'#@#variant
0. 'coq/Coq_Reals_Ratan_Datan_seq_pos'#@#variant 'hl/thm/Library/floor/INTEGER_CLOSED_4'
0. 'coq/Coq_NArith_BinNat_N_mul_shuffle3' 'hl/thm/calc_int/REAL_ADD_AC_2'
0. 'coq/Coq_ZArith_BinInt_Zmult_0_r_reverse' 'hl/thm/Library/prime/INDEX_0_'#@#variant
0. 'coq/Coq_Reals_Ratan_Ratan_seq_opp' 'hl/thm/Complex/complexnumbers/CNJ_POW_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_clearbit_spec_prime'#@#variant 'hl/thm/int/INT_SUB_RNEG_'
0. 'coq/Coq_NArith_BinNat_N_div_same'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_DIV_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_max_l' 'hl/thm/int/INT_MAX_MAX_/0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_odd_0' 'hl/thm/Multivariate/complexes/RE_II_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_power_norm' 'hl/thm/real/REAL_POW_LE_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_le_max_l' 'hl/thm/realax/HREAL_LE_ADD_'
0. 'coq/Coq_Reals_Rtrigo1_SIN_bound/1' 'hl/thm/Multivariate/transcendentals/SIN_BOUNDS_/1'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_nlt_ge' 'hl/thm/arith/NOT_LT_'
0. 'coq/Coq_NArith_BinNat_N_setbit_spec_prime'#@#variant 'hl/thm/Multivariate/complexes/complex_div_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_add' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_TRIANGLE_'
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_2' 'hl/thm/calc_int/REAL_NEG_0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_2' 'hl/thm/calc_int/REAL_NEG_0_'
0. 'coq/Coq_ZArith_Zcomplements_Zlength_nil' 'hl/thm/lists/LENGTH_0'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qplus_lt_l' 'hl/thm/realax/NADD_LE_RADD_'
0. 'coq/Coq_Reals_RIneq_Rmult_ne/1' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_rem_opp_l_prime' 'hl/thm/Multivariate/transcendentals/REAL_ABS_RPOW_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_le_mono_r' 'hl/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_pos_cancel_l'#@#variant 'hl/thm/Library/floor/INTEGER_ADD_EQ_0'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_gcd_greatest' 'hl/thm/Library/integer/INT_DIVIDES_SUB_'
0. 'coq/Coq_Reals_Rbasic_fun_Rle_max_compat_l' 'hl/thm/realax/NADD_MUL_WELLDEF_LEMMA_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_succ_not_1' 'hl/thm/arith/FACT_NZ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_clearbit_spec_prime'#@#variant 'hl/thm/int/INT_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_pred' 'hl/thm/Multivariate/transcendentals/ATN_TAN_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_cancel_r' 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_ADD_RCANCEL_'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_apply_both_stable' 'hl/thm/iterate/POLYNOMIAL_FUNCTION_o_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rinv_l_sym' 'hl/thm/realax/REAL_MUL_LINV_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_nonneg_cancel_l'#@#variant 'hl/thm/int/INT_LE_MUL_EQ_0'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pow_le_mono_l' 'hl/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_ZArith_Zsqrt_compat_Zsqrt_plain_is_pos'#@#variant 'hl/thm/Library/transc/SQRT_POS_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_max_l' 'hl/thm/real/REAL_MAX_MAX_/0'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_succ' 'hl/thm/int/int_sgn_th_'
0. 'coq/Coq_Arith_PeanoNat_Nat_div_mul' 'hl/thm/real/REAL_DIV_RMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_shuffle3' 'hl/thm/realax/HREAL_ADD_AC_2'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_lub_r' 'hl/thm/Library/integer/INT_DIVIDES_LMUL2_'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_le_mono_r_iff'#@#variant 'hl/thm/int/INT_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_even_1'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_shuffle3' 'hl/thm/calc_int/REAL_ADD_AC_2'
0. 'coq/Coq_ZArith_BinInt_Z_sub_pred_l' 'hl/thm/calc_int/REAL_MUL_LNEG_'
0. 'coq/Coq_ZArith_Zcomplements_floor_ok/0' 'hl/thm/Library/analysis/POW_2_LT_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_double'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_0_l' 'hl/thm/arith/ADD_CLAUSES_0'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_0_l' 'hl/thm/arith/MULT_CLAUSES_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_0_r' 'hl/thm/calc_int/REAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lcm_0_r' 'hl/thm/arith/MULT_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_shuffle3' 'hl/thm/Multivariate/complexes/COMPLEX_MUL_AC_2'#@#variant
0. 'coq/Coq_ZArith_Zeven_Zquot2_opp' 'hl/thm/Multivariate/transcendentals/CNJ_CCOS_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_lt_mono_l' 'hl/thm/int/INT_LE_LADD_'
0. 'coq/Coq_ZArith_Zorder_Zplus_le_compat_r' 'hl/thm/arith/EXP_MONO_LE_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_trichotomy' 'hl/thm/Library/analysis/LESS_CASES_IMP_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_2' 'hl/thm/real/REAL_ABS_0_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_shuffle3' 'hl/thm/int/INT_MIN_ACI_2'
0. 'coq/Coq_Reals_RIneq_Rplus_ge_compat_r' 'hl/thm/Library/analysis/LESS_MONO_ADD_'
0. 'coq/Coq_ZArith_BinInt_Zpred_succ' 'hl/thm/arith/PRE_1'
0. 'coq/Coq_NArith_BinNat_N_succ_0_discr' 'hl/thm/arith/FACT_NZ_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_2' 'hl/thm/real/REAL_SGN_0_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_add_r' 'hl/thm/real/REAL_MAX_MAX_/0'
0. 'coq/Coq_QArith_Qreduction_Qred_opp' 'hl/thm/Multivariate/complexes/CNJ_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_total' 'hl/thm/arith/LT_CASES_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_pos'#@#variant 'hl/thm/Library/transc/LN_POS_LT_'#@#variant
0. 'coq/Coq_ZArith_Zlogarithm_log_inf_correct/0'#@#variant 'hl/thm/Multivariate/complexes/REAL_CX_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_ldiff' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_LNEG_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_refl' 'hl/thm/int/INT_LE_REFL_'
0. 'coq/Coq_Numbers_Cyclic_DoubleCyclic_DoubleBase_lt_0_wB'#@#variant 'hl/thm/Library/floor/INTEGER_CLOSED_0'
0. 'coq/Coq_ZArith_BinInt_Z_divide_refl' 'hl/thm/realax/NADD_LE_REFL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_inj_wd' 'hl/thm/nums/SUC_INJ_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_id' 'hl/thm/int/INT_MIN_ACI_3'
0. 'coq/Coq_ZArith_BinInt_Z_sub_cancel_l' 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_ADD_LCANCEL_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_le_compat_r' 'hl/thm/realax/NADD_LE_RMUL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_gt_lt_iff' 'hl/thm/arith/GE_'
0. 'coq/Coq_fourier_Fourier_util_Rle_zero_pos_plus1'#@#variant 'hl/thm/Multivariate/transcendentals/REAL_EXP_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_succ_diag_r' 'hl/thm/real/REAL_ABS_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_total' 'hl/thm/Library/prime/LESS_LESS_CASES_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_le_compat_l' 'hl/thm/realax/TREAL_LE_LADD_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pred_div2_up' 'hl/thm/Multivariate/transcendentals/CX_EXP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lxor_eq_0_iff' 'hl/thm/int/INT_SUB_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_sub_le_add_r' 'hl/thm/int/INT_LT_SUB_LADD_'
0. 'coq/Coq_NArith_BinNat_N_min_le_compat_l' 'hl/thm/Library/integer/INT_DIVIDES_MUL_L_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_le_incl' 'hl/thm/arith/LT_IMP_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_mod_idemp_l' 'hl/thm/arith/MOD_MULT_LMOD_'#@#variant
0. 'coq/Coq_ZArith_Zlogarithm_log_near_correct1'#@#variant 'hl/thm/Library/floor/INTEGER_CLOSED_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_0_iff' 'hl/thm/real/REAL_INV_EQ_0_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_nlt_ge' 'hl/thm/int/INT_NOT_LT_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_succ_l' 'hl/thm/arith/ADD_CLAUSES_2'
0. 'coq/Coq_Reals_RIneq_Rge_refl' 'hl/thm/int/INT_LE_REFL_'
0. 'coq/Coq_QArith_Qminmax_Q_min_glb' 'hl/thm/Library/prime/DIVIDES_ADD_'
0. 'coq/Coq_ZArith_BinInt_Z_min_le_compat_l' 'hl/thm/realax/REAL_LE_LADD_IMP_'
0. 'coq/Coq_ZArith_BinInt_Z_gcd_eq_0' 'hl/thm/arith/ADD_EQ_0_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_pos_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LT_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_neq_succ_0' 'hl/thm/nums/IND_SUC_0_'
0. 'coq/Coq_Reals_Rminmax_R_max_le_compat_r' 'hl/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_pos'#@#variant 'hl/thm/Library/transc/LN_POS_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_shiftr_succ_r' 'hl/thm/arith/SUB_1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_add_distr' 'hl/thm/arith/EXP_MULT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_odd_1'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant
0. 'coq/Coq_Reals_R_sqrt_sqrt_lt_R0'#@#variant 'hl/thm/nums/NUM_REP_RULES_1'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_1_l' 'hl/thm/realarith/REAL_POLY_NEG_CLAUSES_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_le_iff' 'hl/thm/int/INT_MIN_LE_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_le_mono_nonneg'#@#variant 'hl/thm/Library/analysis/REAL_LT_MUL2_ALT_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftl_1_l'#@#variant 'hl/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lnot_0_l' 'hl/thm/realarith/REAL_POLY_NEG_CLAUSES_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_nonneg_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LT_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_le_ge_cases' 'hl/thm/realax/NADD_LE_TOTAL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pos_pred_succ' 'hl/thm/Library/floor/INT_OF_REAL_OF_INT_'
0. 'coq/Coq_ZArith_BinInt_Z_opp_nonneg_nonpos'#@#variant 'hl/thm/int/INT_NEG_GT0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_ngt' 'hl/thm/int/INT_NOT_LE_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_div2' 'hl/thm/int/int_abs_th_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_nlt_ge' 'hl/thm/int/INT_NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_nonpos_nonneg'#@#variant 'hl/thm/int/INT_NEG_LE0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lor_m1_r'#@#variant 'hl/thm/calc_int/REAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_shuffle3' 'hl/thm/Multivariate/complexes/COMPLEX_MUL_AC_2'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tred_factor5_stable' 'hl/thm/Library/multiplicative/MULTIPLICATIVE_PHI_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_pos'#@#variant 'hl/thm/Library/integer/INT_PRIME_ABS_'
0. 'coq/Coq_Reals_Rminmax_R_max_le_compat_r' 'hl/thm/Library/prime/DIVIDES_MUL_R_'
0. 'coq/Coq_Arith_Le_le_n_S' 'hl/thm/realax/NADD_INV_WELLDEF_'
0. 'coq/Coq_NArith_BinNat_N_even_sub' 'hl/thm/int/INT_OF_NUM_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_le_mono' 'hl/thm/arith/FACT_MONO_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_lt_trans' 'hl/thm/arith/LET_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lxor_nilpotent' 'hl/thm/arith/SUB_REFL_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_le_compat_r' 'hl/thm/Library/prime/LESS_MONO_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_pow2'#@#variant 'hl/thm/Library/transc/EXP_LN_'#@#variant
0. 'coq/Coq_Reals_Rpower_exp_Ropp' 'hl/thm/Multivariate/transcendentals/REAL_EXP_NEG_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_1_r'#@#variant 'hl/thm/arith/ADD1_'#@#variant
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_l2i_i2l'#@#variant 'hl/thm/Multivariate/vectors/LIFT_DROP_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_pos' 'hl/thm/calc_num/ARITH_80'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lxor_comm' 'hl/thm/realax/NADD_MUL_SYM_'
0. 'coq/Coq_Bool_Bool_xorb_true_l' 'hl/thm/realarith/REAL_POLY_NEG_CLAUSES_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_pos' 'hl/thm/int/INT_SGN_INEQS_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_null'#@#variant 'hl/thm/int/INT_SGN_EQ_2'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_even_0' 'hl/thm/Multivariate/complexes/RE_II_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_nonneg'#@#variant 'hl/thm/Library/analysis/REAL_LT_MUL2_ALT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_le_mono_r' 'hl/thm/int/INT_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_land_m1_l'#@#variant 'hl/thm/realax/REAL_MUL_LID_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_even_2'#@#variant 'hl/thm/Multivariate/complexes/RE_II_'#@#variant
0. 'coq/Coq_QArith_Qminmax_Q_min_le_compat_l' 'hl/thm/real/REAL_LT_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_clearbit_spec_prime'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_pos'#@#variant 'hl/thm/Library/pratt/PHI_LOWERBOUND_1_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lt_0_sub'#@#variant 'hl/thm/realarith/REAL_SUB_LE_'#@#variant
0. 'coq/Coq_ZArith_Znat_positive_N_Z' 'hl/thm/int/int_of_num_th_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_pos_cancel_r'#@#variant 'hl/thm/Library/analysis/REAL_LT_RDIV_0_'#@#variant
0. 'coq/Coq_Reals_Rpower_arcsinh_lt' 'hl/thm/Multivariate/vectors/SQRT_MONO_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lxor_0_l' 'hl/thm/int/INT_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_xI_succ_xO' 'hl/thm/calc_num/ARITH_4'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_0_r'#@#variant 'hl/thm/arith/EXP_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gt_lt_iff' 'hl/thm/arith/GT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_clearbit_spec_prime'#@#variant 'hl/thm/realax/real_sub_'
0. 'coq/Coq_PArith_BinPos_Pos_min_le_compat_l' 'hl/thm/realax/TREAL_LE_LADD_IMP_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_nonneg_nonpos'#@#variant 'hl/thm/int/INT_NEG_GT0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_succ_l' 'hl/thm/int/INT_NEG_LMUL_'
0. 'coq/Coq_ZArith_BinInt_Z_odd_0' 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_lcm_l' 'hl/thm/realax/HREAL_LE_ADD_'
0. 'coq/Coq_Reals_RIneq_Rplus_minus' 'hl/thm/int/INT_SUB_ADD2_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_succ_diag_r' 'hl/thm/Library/analysis/LESS_SUC_REFL_'
0. 'coq/Coq_NArith_BinNat_N_divide_lcm_l' 'hl/thm/arith/LE_ADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_nonneg_r'#@#variant 'hl/thm/real/REAL_LE_RMUL_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_1_l' 'hl/thm/realarith/REAL_POLY_NEG_CLAUSES_0'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_add_le' 'hl/thm/real/REAL_ABS_TRIANGLE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_lt_mono_r'#@#variant 'hl/thm/int/INT_LE_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_min_r' 'hl/thm/int/INT_MIN_MIN_/1'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_nlt_ge' 'hl/thm/arith/NOT_LT_'
0. 'coq/Coq_Bool_Bool_andb_false_r' 'hl/thm/calc_int/REAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_add' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_refl' 'hl/thm/realax/NADD_LE_REFL_'
0. 'coq/Coq_Reals_Rfunctions_R_dist_refl' 'hl/thm/realarith/REAL_SUB_0_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_add_sub' 'hl/thm/arith/ADD_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lxor_0_l' 'hl/thm/realax/REAL_MUL_LID_'#@#variant
0. 'coq/Coq_Reals_Ranalysis4_sinh_lt' 'hl/thm/Library/transc/ATN_MONO_LT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_even_0' 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_lor' 'hl/thm/Multivariate/transcendentals/REAL_EXP_ADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_glb_lt' 'hl/thm/Library/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Reals_Ratan_ps_atan_opp' 'hl/thm/Multivariate/transcendentals/SIN_NEG_'
0. 'coq/Coq_NArith_BinNat_N_mod_1_r'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_lt' 'hl/thm/int/INT_BOUNDS_LT_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_1_l' 'hl/thm/int/INT_NEG_MINUS1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_0_l' 'hl/thm/arith/ADD_CLAUSES_0'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_1_l' 'hl/thm/Complex/complexnumbers/COMPLEX_POLY_NEG_CLAUSES_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sub_1_r'#@#variant 'hl/thm/arith/ADD1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_lt_iff' 'hl/thm/int/INT_MIN_LE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pred_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LE_'
0. 'coq/Coq_Init_Peano_mult_n_O' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_divide_cancel_r' 'hl/thm/Library/prime/DIVIDES_EXP2_EQ_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rplus_ge_compat_r' 'hl/thm/Library/prime/DIVIDES_EXP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_move_r' 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_id' 'hl/thm/real/REAL_MAX_ACI_3'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_le_lt_mono' 'hl/thm/arith/LET_ADD2_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_pos_l'#@#variant 'hl/thm/int/INT_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_div2_succ_double' 'hl/thm/Multivariate/transcendentals/ATN_TAN_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_pred_l' 'hl/thm/int/INT_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_2' 'hl/thm/real/REAL_ABS_0_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_lt_mono_nonneg'#@#variant 'hl/thm/Library/analysis/REAL_LT_MUL2_ALT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lxor_nilpotent' 'hl/thm/arith/SUB_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_le_mono' 'hl/thm/Multivariate/transcendentals/ATN_MONO_LT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_inj_wd' 'hl/thm/real/REAL_EQ_INV2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div_pos'#@#variant 'hl/thm/int/INT_LTE_ADD_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_le_compat_r' 'hl/thm/realax/NADD_LE_RMUL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_mul_below' 'hl/thm/real/REAL_SUB_ABS_'
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_1_r'#@#variant 'hl/thm/arith/MULT_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_le_mono' 'hl/thm/Multivariate/transcendentals/ATN_MONO_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lor_lnot_diag'#@#variant 'hl/thm/calc_int/REAL_ADD_RINV_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lcm_assoc' 'hl/thm/realax/TREAL_ADD_ASSOC_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_pos'#@#variant 'hl/thm/Library/floor/FLOOR_POS_LE_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_sin_neg' 'hl/thm/Multivariate/vectors/SQRT_NEG_'
0. 'coq/Coq_ZArith_BinInt_Z_add_le_mono_l' 'hl/thm/realax/NADD_LE_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_double'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_INV_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z2Pos_inj_double'#@#variant 'hl/thm/Multivariate/transcendentals/CX_LOG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_add_le_sub_r' 'hl/thm/real/REAL_LT_ADD_SUB_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_double_add' 'hl/thm/calc_num/ARITH_17'
0. 'coq/Coq_Reals_Rpower_arcsinh_le' 'hl/thm/Multivariate/vectors/SQRT_MONO_LT_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_total' 'hl/thm/Library/analysis/LESS_LESS_CASES_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gt_lt_iff' 'hl/thm/realax/real_gt_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lnot_0_l' 'hl/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pred_div2_up' 'hl/thm/Multivariate/transcendentals/CX_ATN_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_pred_l' 'hl/thm/Multivariate/transcendentals/REAL_INV_RPOW_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_id' 'hl/thm/real/REAL_MIN_ACI_3'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_pos_r'#@#variant 'hl/thm/real/REAL_LT_RMUL_EQ_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_le_mono' 'hl/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_nonneg_cancel_l'#@#variant 'hl/thm/int/INT_LE_MUL_EQ_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pred_succ' 'hl/thm/Library/transc/LN_EXP_'
0. 'coq/Coq_NArith_BinNat_N_mul_1_l'#@#variant 'hl/thm/arith/MULT_CLAUSES_2'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_lt_lin'#@#variant 'hl/thm/Library/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_max_le_compat_l' 'hl/thm/realax/NADD_LE_LMUL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_cancel_r' 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_diag'#@#variant 'hl/thm/arith/MULT_2_'#@#variant
0. 'coq/Coq_Sets_Uniset_leb_refl' 'hl/thm/arith/LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_id' 'hl/thm/real/REAL_MAX_ACI_3'
0. 'coq/Coq_NArith_BinNat_N_pred_div2_up' 'hl/thm/Complex/complex_transc/CX_CSIN_'
0. 'coq/Coq_Bool_Bool_xorb_false_l' 'hl/thm/realax/REAL_ADD_LID_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_add_r' 'hl/thm/int/INT_MAX_MAX_/0'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_1_l' 'hl/thm/Library/integer/INT_DIVIDES_1_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_involutive' 'hl/thm/Complex/complexnumbers/COMPLEX_INV_INV_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lcm_divide_iff' 'hl/thm/int/INT_MAX_LE_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_gt_lt_iff' 'hl/thm/int/INT_GE_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_divide_mono_l' 'hl/thm/int/INT_LE_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_le_mono_l' 'hl/thm/realax/NADD_LE_LADD_'
0. 'coq/Coq_ZArith_BinInt_Z_lcm_0_r' 'hl/thm/calc_int/REAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_eq_0_gt_0_cases'#@#variant 'hl/thm/Library/prime/LESS_0_CASES_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_succ_r' 'hl/thm/arith/SUB_1'
0. 'coq/Coq_NArith_BinNat_N_pow_lt_mono_l_iff' 'hl/thm/Library/prime/DIVIDES_RMUL2_EQ_'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_T_OMEGA15_stable' 'hl/thm/Library/multiplicative/MULTIPLICATIVE_PHI_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_even_0' 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_greatest' 'hl/thm/Library/prime/DIVIDES_ADD_'
0. 'coq/Coq_Reals_Rpower_arcsinh_sinh' 'hl/thm/Library/transc/LN_EXP_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_glb' 'hl/thm/Library/integer/INT_DIVIDES_ADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_total' 'hl/thm/int/INT_LT_TOTAL_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_sqrt' 'hl/thm/Multivariate/transcendentals/CX_TAN_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_nlt_ge' 'hl/thm/int/INT_NOT_LT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_ge_cases' 'hl/thm/realarith/REAL_LET_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_succ_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_0_l' 'hl/thm/realax/REAL_MUL_LID_'#@#variant
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_double'#@#variant 'hl/thm/Multivariate/transcendentals/CX_ATN_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_le' 'hl/thm/int/INT_BOUNDS_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_id' 'hl/thm/int/INT_MIN_ACI_3'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ldiff_m1_r'#@#variant 'hl/thm/arith/EXP_0'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_pred'#@#variant 'hl/thm/int/INT_OF_NUM_SUC_'#@#variant
0. 'coq/Coq_QArith_QOrderedType_QOrder_not_gt_le' 'hl/thm/arith/LET_CASES_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_land_0_r' 'hl/thm/calc_int/REAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_land_0_r' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RZERO_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_gcd_divide_iff' 'hl/thm/int/INT_LT_MIN_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_odd_0' 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pow_succ_r_prime' 'hl/thm/arith/EXP_1'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_odd_0' 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_lxor_l' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_LMUL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_lt_lin'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_LE_X_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LE_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_sub_lt_add_r' 'hl/thm/int/INT_LE_SUB_LADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_opp_r' 'hl/thm/int/INT_SUB_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_divide_add_cancel_r' 'hl/thm/Library/prime/DIVIDES_ADD_REVR_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_id' 'hl/thm/real/REAL_MIN_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_refl' 'hl/thm/realax/TREAL_EQ_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_le_compat_r' 'hl/thm/realax/HREAL_LE_MUL_RCANCEL_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_pos_cancel_r'#@#variant 'hl/thm/Library/floor/INTEGER_ADD_EQ_1'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_pos'#@#variant 'hl/thm/Library/transc/ATN_POS_LE_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_lt_lin'#@#variant 'hl/thm/Library/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_divide_mul_r' 'hl/thm/Library/prime/DIVIDES_LMUL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_le_compat_r' 'hl/thm/Library/prime/DIVIDES_MUL_R_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_gt_cases' 'hl/thm/int/INT_LET_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_refl' 'hl/thm/realax/TREAL_LE_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_divide_mono_l' 'hl/thm/int/INT_LE_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_0_r' 'hl/thm/realax/HREAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_pos_l'#@#variant 'hl/thm/real/REAL_LE_LMUL_EQ_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_le_ngt' 'hl/thm/int/INT_NOT_LE_'
0. 'coq/Coq_NArith_BinNat_N_mul_mod' 'hl/thm/arith/MOD_ADD_MOD_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_refl' 'hl/thm/realax/TREAL_LE_REFL_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_0_l' 'hl/thm/realax/HREAL_ADD_LID_'#@#variant
0. 'coq/Coq_NArith_Ndist_ni_min_inf_l' 'hl/thm/realax/REAL_ADD_LID_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lt_asymm' 'hl/thm/arith/LT_ANTISYM_'
0. 'coq/Coq_Reals_Rfunctions_pow_le'#@#variant 'hl/thm/Library/floor/RATIONAL_CLOSED_6'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_0_r' 'hl/thm/arith/LE_0'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_tan_neg' 'hl/thm/Multivariate/complexes/CNJ_INV_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Zlt_Qlt' 'hl/thm/realax/NADD_OF_NUM_LE_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_lt_mono_r' 'hl/thm/realax/HREAL_LE_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_lt_add_r' 'hl/thm/Library/integer/INT_DIVIDES_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_succ_not_1' 'hl/thm/Multivariate/transcendentals/REAL_EXP_NZ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_id' 'hl/thm/int/INT_MIN_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_xO_r' 'hl/thm/int/INT_NEG_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_rem_opp_l_prime' 'hl/thm/int/INT_MUL_LNEG_'
0. 'coq/Coq_NArith_BinNat_N_pow_le_mono_l_iff' 'hl/thm/Library/integer/INT_DIVIDES_RMUL2_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_pred_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LNEG_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_nonneg_cancel_r'#@#variant 'hl/thm/int/INT_LE_MUL_EQ_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_nlt' 'hl/thm/arith/NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_nlt_1_r' 'hl/thm/Library/analysis/NOT_LESS_0_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qinv_le_0_compat'#@#variant 'hl/thm/Multivariate/transcendentals/REAL_TAN_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_id' 'hl/thm/int/INT_MAX_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_nlt_0_r' 'hl/thm/Library/analysis/NOT_LESS_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_add_r' 'hl/thm/arith/EXP_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_setbit_spec_prime'#@#variant 'hl/thm/int/INT_SUB_RNEG_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_lt_mono_r' 'hl/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_null'#@#variant 'hl/thm/real/REAL_SGN_EQ_2'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div_mul_le' 'hl/thm/arith/MULT_DIV_LE_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_1_r'#@#variant 'hl/thm/Library/pocklington/ORDER_1_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_PI2_Rlt_PI'#@#variant 'hl/thm/Multivariate/transcendentals/PI2_BOUNDS_1'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pred_succ' 'hl/thm/Multivariate/transcendentals/LOG_EXP_'
0. 'coq/Coq_Reals_R_Ifp_base_fp/1' 'hl/thm/Library/transc/COS_BOUNDS_/1'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_mul_le_mono_r' 'hl/thm/arith/LE_ADD_RCANCEL_'
0. 'coq/Coq_ZArith_Zorder_Zplus_gt_compat_l' 'hl/thm/real/REAL_LT_LADD_IMP_'
0. 'coq/Coq_Reals_R_Ifp_base_fp/0' 'hl/thm/Library/transc/COS_BOUNDS_/1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_min_r' 'hl/thm/real/REAL_MIN_MIN_/1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_pos'#@#variant 'hl/thm/real/REAL_LT_INV_EQ_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_1_r' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RZERO_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qplus_inj_l' 'hl/thm/arith/LE_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_pos_nonneg'#@#variant 'hl/thm/realarith/REAL_LTE_ADD_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pred_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lnot_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mod_0_l' 'hl/thm/arith/DIV_0_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_opp' 'hl/thm/Complex/complexnumbers/CX_INV_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_inj_wd' 'hl/thm/int/INT_EQ_NEG2_'
0. 'coq/Coq_QArith_Qcanon_Qcopp_involutive' 'hl/thm/calc_int/REAL_NEG_NEG_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_add_distr_r' 'hl/thm/realax/NADD_RDISTRIB_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_pred_double_spec' 'hl/thm/calc_num/ARITH_9'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_1_r'#@#variant 'hl/thm/Library/pocklington/ORDER_1_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_square' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_INV_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_ge_cases' 'hl/thm/realax/HREAL_LE_TOTAL_'
0. 'coq/Coq_ZArith_Zlogarithm_log_inf_correct/0'#@#variant 'hl/thm/int/INT_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_le_mono' 'hl/thm/Library/floor/FLOOR_MONO_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_le_mono' 'hl/thm/arith/FACT_MONO_'
0. 'coq/Coq_ZArith_BinInt_Z_pred_inj_wd' 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_NEG2_'
0. 'coq/Coq_QArith_Qminmax_Q_min_glb_iff' 'hl/thm/int/INT_LE_MIN_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_succ_r' 'hl/thm/real/REAL_NEG_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_pos'#@#variant 'hl/thm/Library/floor/INTEGER_ABS_'
0. 'coq/Coq_ZArith_BinInt_Z_add_succ_l' 'hl/thm/Multivariate/transcendentals/REAL_INV_RPOW_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_greatest' 'hl/thm/Library/integer/INT_DIVIDES_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_min_distr' 'hl/thm/Complex/complex_transc/CEXP_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_1_r' 'hl/thm/arith/SUB_0'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_id' 'hl/thm/int/INT_MAX_ACI_3'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_gcd_greatest' 'hl/thm/Library/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_le_incl' 'hl/thm/realax/TREAL_EQ_IMP_LE_'#@#variant
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_double'#@#variant 'hl/thm/Multivariate/transcendentals/CX_EXP_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_le_ge_cases' 'hl/thm/realax/TREAL_LE_TOTAL_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_min_r' 'hl/thm/int/INT_MIN_MIN_/1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mod_opp_opp' 'hl/thm/Library/analysis/ABS_DIV_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zsucc_lt_compat' 'hl/thm/Library/transc/ATN_MONO_LT_'
0. 'coq/Coq_Numbers_Cyclic_DoubleCyclic_DoubleBase_wwB_wBwB'#@#variant 'hl/thm/int/INT_OF_NUM_SUC_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_nge' 'hl/thm/int/INT_LT_'
0. 'coq/Coq_Reals_Rtrigo1_cos_PI' 'hl/thm/Multivariate/transcendentals/ATN_1_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_le_mono_l' 'hl/thm/arith/LT_ADD_LCANCEL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_1_r'#@#variant 'hl/thm/Library/prime/INDEX_0_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_sin_lb_gt_0'#@#variant 'hl/thm/Multivariate/transcendentals/SIN_POS_PI_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_glb_lt' 'hl/thm/Library/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_lt_mono_l' 'hl/thm/real/REAL_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_lcm_l' 'hl/thm/realax/NADD_LE_ADD_'
0. 'coq/Coq_ZArith_Znat_Z2N_inj_pred' 'hl/thm/Multivariate/complexes/IM_CNJ_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rge_refl' 'hl/thm/realax/TREAL_EQ_REFL_'#@#variant
0. 'coq/Coq_Arith_Min_min_glb' 'hl/thm/Library/prime/DIVIDES_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_le_iff' 'hl/thm/int/INT_LT_MAX_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_inj_wd' 'hl/thm/Multivariate/complexes/CNJ_INJ_'#@#variant
0. 'coq/Coq_Reals_RIneq_Ropp_inv_permute' 'hl/thm/Library/analysis/ABS_INV_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_le_trans' 'hl/thm/realarith/REAL_LTE_TRANS_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_neq' 'hl/thm/int/INT_LT_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_lt_mono_pos_l'#@#variant 'hl/thm/real/REAL_LE_LMUL_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_1_l' 'hl/thm/int/INT_ADD_LID_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gt_lt_iff' 'hl/thm/realax/real_gt_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_eq_add_0' 'hl/thm/arith/MULT_EQ_1_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_inv_norm' 'hl/thm/real/REAL_LE_INV_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_power_pos' 'hl/thm/int/INT_POW_LT_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_succ'#@#variant 'hl/thm/Library/analysis/REAL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_glb_lt_iff' 'hl/thm/real/REAL_LT_MIN_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pow_lt_mono_r_iff'#@#variant 'hl/thm/int/INT_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_le_lin'#@#variant 'hl/thm/Library/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_div2' 'hl/thm/Multivariate/transcendentals/CX_TAN_'#@#variant
0. 'coq/Coq_Reals_Rpower_ln_lt_inv'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_MONO_LE_REV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_glb_lt' 'hl/thm/Library/integer/INT_DIVIDES_SUB_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_le_mono' 'hl/thm/arith/FACT_MONO_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_le_mono_r' 'hl/thm/realax/NADD_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_le_mono' 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_eq_0' 'hl/thm/arith/MULT_EQ_1_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_add_le' 'hl/thm/real/REAL_ABS_TRIANGLE_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_le_mono_l' 'hl/thm/real/REAL_LT_LADD_'
0. 'coq/Coq_NArith_BinNat_N_divide_refl' 'hl/thm/realax/HREAL_LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_null_iff' 'hl/thm/int/INT_ABS_ZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_lt_mono_l_iff' 'hl/thm/Library/prime/DIVIDES_EXP2_EQ_'#@#variant
0. 'coq/Coq_Arith_Factorial_fact_le' 'hl/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_pow_le_mono_r'#@#variant 'hl/thm/Library/analysis/REAL_LT_LMUL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_1_mul_pos'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_LE_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div_le_mono'#@#variant 'hl/thm/real/REAL_LE_RMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lxor_nilpotent' 'hl/thm/int/INT_SUB_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_rem_opp_l_prime' 'hl/thm/Multivariate/transcendentals/REAL_ABS_RPOW_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_succ_le' 'hl/thm/Library/floor/FLOOR_DOUBLE_/0'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lcm_1_l'#@#variant 'hl/thm/realax/HREAL_ADD_LID_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_le_compat_r' 'hl/thm/Library/analysis/LESS_MONO_ADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_pos'#@#variant 'hl/thm/Library/transc/REAL_EXP_LT_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_le_mono' 'hl/thm/Multivariate/transcendentals/ATN_MONO_LT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_add_le' 'hl/thm/real/REAL_ABS_TRIANGLE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_opp_diag_l' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LINV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_opp_r' 'hl/thm/Multivariate/complexes/complex_div_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LE_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_assoc' 'hl/thm/realax/NADD_ADD_ASSOC_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_le_mono' 'hl/thm/Library/transc/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_setbit_spec_prime'#@#variant 'hl/thm/realax/real_div_'
0. 'coq/Coq_PArith_BinPos_Pos_max_lt_iff' 'hl/thm/int/INT_LE_MAX_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_2' 'hl/thm/realax/REAL_INV_0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_pos' 'hl/thm/int/INT_SGN_INEQS_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_le_iff' 'hl/thm/real/REAL_MIN_LE_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_assoc' 'hl/thm/realax/NADD_ADD_ASSOC_'
0. 'coq/Coq_QArith_Qreals_Qle_Rle' 'hl/thm/Library/calc_real/REAL_MONO_POW2_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_add_lt_sub_r' 'hl/thm/int/INT_LT_SUB_LADD_'
0. 'coq/Coq_NArith_BinNat_N_sub_add_distr' 'hl/thm/arith/EXP_MULT_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_succ_l' 'hl/thm/Multivariate/transcendentals/REAL_INV_RPOW_'
0. 'coq/Coq_ZArith_BinInt_Z_opp_le_mono' 'hl/thm/int/INT_LT_NEG2_'
0. 'coq/Coq_Reals_Exp_prop_div2_double'#@#variant 'hl/thm/Multivariate/transcendentals/CSIN_CASN_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sub_succ_l' 'hl/thm/calc_int/REAL_MUL_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_involutive' 'hl/thm/calc_int/REAL_NEG_NEG_'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_lt_not_gt' 'hl/thm/int/INT_LT_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_pos'#@#variant 'hl/thm/Library/transc/REAL_EXP_LT_1_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_divide_mono_l' 'hl/thm/real/REAL_LT_LADD_IMP_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_succ_l' 'hl/thm/int/INT_MUL_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_nlt' 'hl/thm/int/INT_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_lt_mono_r' 'hl/thm/arith/LE_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mod_same' 'hl/thm/arith/MOD_REFL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_simpl_r' 'hl/thm/arith/ADD_SUB_'
0. 'coq/Coq_Reals_Rbasic_fun_Rmin_Rgt' 'hl/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_0_r' 'hl/thm/realax/HREAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_sgn' 'hl/thm/real/REAL_SGN_ABS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_le_mono_pos_l'#@#variant 'hl/thm/real/REAL_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_div2' 'hl/thm/Multivariate/complexes/CX_INV_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zmult_lt_compat_l'#@#variant 'hl/thm/int/INT_LE_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div2_nonneg'#@#variant 'hl/thm/calc_num/ARITH_40'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_nlt' 'hl/thm/arith/NOT_LT_'
0. 'coq/Coq_Bool_Bool_andb_false_iff' 'hl/thm/arith/MULT_EQ_0_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_ldiff_diag' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_REFL_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_mul_comm' 'hl/thm/realax/TREAL_MUL_SYM_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_land_lnot_diag' 'hl/thm/int/INT_ADD_RINV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_0_r' 'hl/thm/calc_int/REAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_max_le_compat_r' 'hl/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_abs_IZR' 'hl/thm/Complex/complex_transc/CX_CEXP_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_le_mono' 'hl/thm/realax/NADD_INV_WELLDEF_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_null_iff' 'hl/thm/real/REAL_ABS_ZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_divide_mono_l' 'hl/thm/realax/NADD_MUL_WELLDEF_LEMMA_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_nlt_ge' 'hl/thm/arith/NOT_LT_'
0. 'coq/Coq_Reals_Exp_prop_exp_pos_pos'#@#variant 'hl/thm/Multivariate/transcendentals/REAL_COS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_double'#@#variant 'hl/thm/Library/transc/LN_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftl_opp_r' 'hl/thm/int/INT_SUB_'
0. 'coq/Coq_ZArith_BinInt_Z_lxor_0_l' 'hl/thm/arith/MULT_CLAUSES_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div_pos'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_LT_1_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftr_shiftr' 'hl/thm/Library/prime/EXP_EXP_'
0. 'coq/Coq_fourier_Fourier_util_Rlt_zero_pos_plus1'#@#variant 'hl/thm/Library/floor/RATIONAL_NEG_'
0. 'coq/Coq_Reals_RIneq_Ropp_Ropp_IZR' 'hl/thm/Complex/complex_transc/CX_CEXP_'
0. 'coq/Coq_ZArith_BinInt_Z_gcd_greatest' 'hl/thm/Complex/cpoly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_even_2'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant
0. 'coq/Coq_QArith_Qminmax_Q_min_glb_lt_iff' 'hl/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_1_l'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_diag' 'hl/thm/int/INT_MIN_ACI_3'
0. 'coq/Coq_ZArith_BinInt_Zsucc_pred' 'hl/thm/Library/transc/ATN_TAN_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_le_compat_r' 'hl/thm/realax/HREAL_LE_MUL_RCANCEL_IMP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_lt_mono_l' 'hl/thm/arith/DIV_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_le_compat_l' 'hl/thm/realax/NADD_MUL_WELLDEF_LEMMA_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_add_lt_sub_r' 'hl/thm/int/INT_LT_ADD_SUB_'
0. 'coq/Coq_Reals_RIneq_lt_INR' 'hl/thm/Library/calc_real/REAL_MONO_POW2_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_divide_mono_r' 'hl/thm/realax/HREAL_LE_MUL_RCANCEL_IMP_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_mod_idemp_r' 'hl/thm/arith/MOD_MULT_RMOD_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_sub_le_add_r' 'hl/thm/real/REAL_LT_ADD_SUB_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_ngt' 'hl/thm/Library/analysis/real_le_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_add_r' 'hl/thm/real/REAL_MAX_MAX_/0'
0. 'coq/Coq_Reals_Rtrigo1_cos_minus' 'hl/thm/Multivariate/transcendentals/COS_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_shuffle3' 'hl/thm/int/INT_MAX_ACI_2'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_lt' 'hl/thm/real/REAL_BOUNDS_LE_'
0. 'coq/Coq_ZArith_BinInt_Zopp_mult_distr_l' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_sub_diag' 'hl/thm/arith/SUB_REFL_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_max_le_compat_l' 'hl/thm/real/REAL_LT_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_l' 'hl/thm/arith/MOD_LT_'
0. 'coq/Coq_QArith_Qminmax_Q_min_assoc' 'hl/thm/realax/NADD_ADD_ASSOC_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_succ_l' 'hl/thm/arith/LE_SUC_LT_'
0. 'coq/Coq_Reals_Rminmax_R_le_min_r' 'hl/thm/real/REAL_MIN_MIN_/1'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_le_iff' 'hl/thm/real/REAL_LT_MAX_'
0. 'coq/Coq_NArith_BinNat_N_lcm_1_l'#@#variant 'hl/thm/int/INT_ADD_LID_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lt_asymm' 'hl/thm/real/REAL_LT_ANTISYM_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lor_eq_0_iff' 'hl/thm/arith/ADD_EQ_0_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qinv_le_0_compat'#@#variant 'hl/thm/Library/transc/SQRT_POS_LT_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_min_glb_lt' 'hl/thm/Complex/cpoly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_0_discr' 'hl/thm/nums/IND_SUC_0_'
0. 'coq/Coq_QArith_Qcanon_Qcle_not_lt' 'hl/thm/int/INT_LTE_ANTISYM_'
0. 'coq/Coq_Reals_RIneq_cond_nonneg'#@#variant 'hl/thm/Multivariate/complexes/REAL_CX_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_div_1_r' 'hl/thm/arith/SUB_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_glb_lt' 'hl/thm/Complex/cpoly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Arith_Max_max_idempotent' 'hl/thm/int/INT_MAX_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_shuffle3' 'hl/thm/arith/MULT_AC_2'
0. 'coq/Coq_QArith_Qcanon_Qclt_not_eq' 'hl/thm/real/REAL_LT_IMP_NE_'
0. 'coq/Coq_NArith_BinNat_N_log2_up_le_mono' 'hl/thm/Library/transc/ATN_MONO_LT_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_1_l' 'hl/thm/arith/LE_0_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_le_sqrt_sqrt_up' 'hl/thm/Multivariate/transcendentals/REAL_EXP_LE_X_'#@#variant
0. 'coq/Coq_Reals_Rpower_arcsinh_sinh' 'hl/thm/Multivariate/transcendentals/ATN_TAN_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_add_cancel_r' 'hl/thm/Library/prime/DIVIDES_ADD_REVR_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_min_l' 'hl/thm/Library/analysis/SUB_LESS_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_id' 'hl/thm/real/REAL_MIN_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftr_opp_r' 'hl/thm/Multivariate/complexes/complex_div_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mod_le' 'hl/thm/arith/MOD_LE_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_sqrt' 'hl/thm/Multivariate/transcendentals/CX_EXP_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sub_cancel_r' 'hl/thm/realax/HREAL_EQ_ADD_RCANCEL_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_lt' 'hl/thm/realax/TREAL_OF_NUM_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_null'#@#variant 'hl/thm/real/REAL_SGN_EQ_2'#@#variant
0. 'coq/Coq_Reals_RIneq_Rle_refl' 'hl/thm/realax/TREAL_LE_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_shiftr' 'hl/thm/int/INT_SUB_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_eq_opp_r' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_EQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_le_lt_mono' 'hl/thm/arith/LET_ADD2_'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_le_mono' 'hl/thm/Library/transc/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_greatest' 'hl/thm/Library/prime/DIVIDES_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftl_mul_pow2'#@#variant 'hl/thm/Multivariate/complexes/complex_div_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_divide_mono_r' 'hl/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_ZArith_Zorder_not_Zeq' 'hl/thm/Library/analysis/LESS_LESS_CASES_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_quot_same'#@#variant 'hl/thm/arith/DIV_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_xO_r' 'hl/thm/arith/ADD_SUC_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_lub_lt_iff' 'hl/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_Reals_SeqProp_CV_mult' 'hl/thm/Library/analysis/SEQ_MUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_sub' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_ADD_'
0. 'coq/Coq_ZArith_BinInt_Z_ge_le_iff' 'hl/thm/int/INT_GE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_lt_mono_r_iff'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LT_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_le_compat_r' 'hl/thm/Library/prime/DIVIDES_EXP_'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_div2' 'hl/thm/Multivariate/transcendentals/CX_ATN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_lt_lin'#@#variant 'hl/thm/Library/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_1_r'#@#variant 'hl/thm/Library/pocklington/ORDER_1_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_le_incl' 'hl/thm/realax/TREAL_EQ_IMP_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_nonneg'#@#variant 'hl/thm/real/REAL_LE_MUL2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_succ' 'hl/thm/calc_num/ARITH_5'
0. 'coq/Coq_Reals_Rbasic_fun_Rle_abs' 'hl/thm/Library/analysis/LESS_SUC_REFL_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_is_pos'#@#variant 'hl/thm/Multivariate/complexes/REAL_CX_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_eq_opp_l' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_EQ_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_sqrt_1' 'hl/thm/realax/NADD_INV_0_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qmult_le_r'#@#variant 'hl/thm/real/REAL_LT_DIV2_EQ_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_square_nonneg'#@#variant 'hl/thm/realarith/REAL_LE_SQUARE_'#@#variant
0. 'coq/Coq_Arith_Lt_lt_0_neq'#@#variant 'hl/thm/Library/integer/INT_PRIME_IMP_NZ_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sub_add_distr' 'hl/thm/Library/prime/EXP_EXP_'
0. 'coq/Coq_NArith_BinNat_N_le_sub_le_add_r' 'hl/thm/real/REAL_LE_SUB_LADD_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_sqrt_0' 'hl/thm/realax/NADD_INV_0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_0_l' 'hl/thm/int/INT_NEG_MINUS1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_neq_0_lt_0'#@#variant 'hl/thm/arith/LT_NZ_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_le_mono' 'hl/thm/arith/FACT_MONO_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_le' 'hl/thm/real/REAL_BOUNDS_LE_'
0. 'coq/Coq_Reals_Rtrigo1_tan_gt_0'#@#variant 'hl/thm/Library/transc/TAN_POS_PI2_'#@#variant
0. 'coq/Coq_Reals_RIneq_pos_INR'#@#variant 'hl/thm/Multivariate/transcendentals/ARG_/0'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_cancel_r' 'hl/thm/int/INT_EQ_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_le_mono_r' 'hl/thm/int/INT_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_land_diag' 'hl/thm/real/REAL_MIN_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_neq_0_succ' 'hl/thm/nums/IND_SUC_0_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_ge_cases' 'hl/thm/realax/HREAL_LE_TOTAL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_le_mono' 'hl/thm/Library/floor/FLOOR_MONO_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_succ_pred_double' 'hl/thm/calc_num/ARITH_9'
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_r' 'hl/thm/Library/prime/LESS_MONO_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_trichotomy' 'hl/thm/int/INT_LT_TOTAL_'
0. 'coq/Coq_ZArith_BinInt_Z_div2_div'#@#variant 'hl/thm/arith/ADD1_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_min_1_r' 'hl/thm/int/INT_MUL_RZERO_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_land_comm' 'hl/thm/realax/NADD_ADD_SYM_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_shuffle3' 'hl/thm/realax/HREAL_ADD_AC_2'
0. 'coq/Coq_PArith_BinPos_Pos_add_cancel_r' 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_ADD_RCANCEL_'
0. 'coq/Coq_Reals_Rminmax_R_min_lt_iff' 'hl/thm/real/REAL_MIN_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_lt_add_r' 'hl/thm/Library/integer/INT_DIVIDES_RMUL_'
0. 'coq/Coq_Reals_RIneq_Rmult_gt_reg_l'#@#variant 'hl/thm/real/REAL_LT_LCANCEL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_lt_lin'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_LT_X_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_lt_iff' 'hl/thm/int/INT_LT_MAX_'
0. 'coq/Coq_ZArith_BinInt_Z_le_succ_r' 'hl/thm/arith/LE_1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_lt_mono_r' 'hl/thm/realax/HREAL_LE_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_inj_wd' 'hl/thm/nums/SUC_INJ_'
0. 'coq/Coq_QArith_Qminmax_Q_min_assoc' 'hl/thm/realax/NADD_MUL_ASSOC_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_pos'#@#variant 'hl/thm/real/REAL_SGN_INEQS_1'#@#variant
0. 'coq/Coq_Reals_Raxioms_Rplus_lt_compat_l' 'hl/thm/realax/NADD_LE_LMUL_'
0. 'coq/Coq_ZArith_BinInt_Z2Pos_inj_sqrt' 'hl/thm/Multivariate/transcendentals/CX_SIN_'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_le' 'hl/thm/realax/TREAL_OF_NUM_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_trichotomy' 'hl/thm/Library/prime/LESS_LESS_CASES_'
0. 'coq/Coq_Reals_RIneq_Rplus_le_lt_compat' 'hl/thm/arith/LET_ADD2_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_1_l' 'hl/thm/arith/ADD_CLAUSES_0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sub_add_distr' 'hl/thm/arith/EXP_MULT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_glb_lt_iff' 'hl/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_le_mono' 'hl/thm/Multivariate/transcendentals/ATN_MONO_LT_'
0. 'coq/Coq_Reals_Rfunctions_pow_mult' 'hl/thm/real/REAL_POW_POW_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_lt' 'hl/thm/int/num_divides_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_le_mono_r' 'hl/thm/arith/LE_ADD_RCANCEL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_max_lt_iff' 'hl/thm/int/INT_LE_MAX_'
0. 'coq/Coq_QArith_QArith_base_inject_Z_injective' 'hl/thm/realax/TREAL_OF_NUM_EQ_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_cancel_l' 'hl/thm/int/INT_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_succ_l' 'hl/thm/int/INT_NEG_LMUL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_gcd_divide_r' 'hl/thm/real/REAL_MIN_MIN_/1'
0. 'coq/Coq_Reals_Raxioms_Rlt_asym' 'hl/thm/arith/LT_ANTISYM_'
0. 'coq/Coq_QArith_Qminmax_Q_min_le_compat_r' 'hl/thm/Library/analysis/LESS_MONO_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_le_mono' 'hl/thm/Library/floor/FLOOR_MONO_'
0. 'coq/Coq_Arith_Plus_plus_lt_compat_r' 'hl/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_double_spec'#@#variant 'hl/thm/Library/analysis/REAL_INV_1OVER_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_ones_equiv'#@#variant 'hl/thm/nums/BIT1_DEF_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_nonneg' 'hl/thm/Multivariate/transcendentals/ATN_BOUNDS_/0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pred_le_mono' 'hl/thm/Multivariate/transcendentals/ATN_MONO_LT_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_xI_succ_xO' 'hl/thm/nums/BIT1_DEF_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_nonneg' 'hl/thm/Multivariate/transcendentals/ATN_BOUNDS_/0'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_pos'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_POS_LT_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_le_mono_r' 'hl/thm/arith/LT_ADD_RCANCEL_'
0. 'coq/Coq_Arith_Mult_mult_le_compat_l' 'hl/thm/realax/TREAL_LE_LADD_IMP_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_quot_pos'#@#variant 'hl/thm/realarith/REAL_LTE_ADD_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rle_min_compat_r' 'hl/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_ZArith_Znumtheory_rel_prime_div' 'hl/thm/realarith/REAL_LET_TRANS_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_lub_lt_iff' 'hl/thm/int/INT_MAX_LE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_divide_r' 'hl/thm/real/REAL_MIN_MIN_/1'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_sub' 'hl/thm/arith/ADD_SUB_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftl_1_l'#@#variant 'hl/thm/realarith/REAL_POLY_NEG_CLAUSES_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_divide_l' 'hl/thm/Library/analysis/SUB_LESS_EQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_lt_mono_r_iff'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LE_EQ_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_opp_norm' 'hl/thm/Multivariate/transcendentals/REAL_EXP_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_succ_l' 'hl/thm/Multivariate/transcendentals/REAL_INV_RPOW_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_opp_diag_r' 'hl/thm/calc_int/REAL_ADD_RINV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_inj_wd' 'hl/thm/Library/prime/CANCEL_TIMES2_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_ones_equiv'#@#variant 'hl/thm/calc_num/ARITH_9'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_lcm_l' 'hl/thm/realax/NADD_LE_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_lub_l' 'hl/thm/Library/integer/INT_DIVIDES_RMUL2_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_id' 'hl/thm/real/REAL_MIN_ACI_3'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_pos'#@#variant 'hl/thm/Multivariate/complexes/REAL_CX_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_factor_r' 'hl/thm/int/INT_MAX_MAX_/1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_even_2'#@#variant 'hl/thm/nums/ZERO_DEF_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_min_distr' 'hl/thm/Complex/complex_transc/CEXP_ADD_'
0. 'coq/Coq_Reals_ROrderedType_ROrder_TO_lt_total' 'hl/thm/Library/analysis/LESS_CASES_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_double_succ' 'hl/thm/nums/BIT0_DEF_1'
0. 'coq/Coq_Reals_SeqProp_CV_mult' 'hl/thm/Library/analysis/SEQ_SUB_'
0. 'coq/Coq_ZArith_BinInt_Z_add_add_simpl_l_l' 'hl/thm/arith/SUB_ADD_LCANCEL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_mul_l' 'hl/thm/Library/integer/INT_DIVIDES_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_pos_fold' 'hl/thm/Multivariate/transcendentals/RPOW_POW_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_le_mono' 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_move_0_r' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_inj_wd' 'hl/thm/Multivariate/complexes/CNJ_INJ_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_nle_gt' 'hl/thm/arith/NOT_LT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sub_succ_r' 'hl/thm/Multivariate/transcendentals/RPOW_NEG_'
0. 'coq/Coq_NArith_BinNat_N_mul_lt_mono_pos_r'#@#variant 'hl/thm/real/REAL_LE_RMUL_EQ_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_0_sub'#@#variant 'hl/thm/realarith/REAL_SUB_LE_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_le_add_le_sub_r' 'hl/thm/int/INT_LT_ADD_SUB_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_divide_add_cancel_l' 'hl/thm/Library/integer/INT_DIVIDES_ADD_REVL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_square_spec' 'hl/thm/real/REAL_MUL_2_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_pos'#@#variant 'hl/thm/Library/transc/ATN_POS_LT_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sub_le_mono_r' 'hl/thm/realax/NADD_LE_RMUL_'
0. 'coq/Coq_ZArith_Znat_Z2Nat_inj_pred' 'hl/thm/Complex/complexnumbers/CX_INV_'
0. 'coq/Coq_ZArith_BinInt_Z_lnot_land' 'hl/thm/Multivariate/transcendentals/REAL_EXP_ADD_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_le' 'hl/thm/int/num_divides_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_le_compat_l' 'hl/thm/realax/NADD_MUL_WELLDEF_LEMMA_'
0. 'coq/Coq_ZArith_BinInt_Z_lxor_lnot_lnot' 'hl/thm/arith/SUB_SUC_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_lt_mono_r' 'hl/thm/realax/HREAL_LE_ADD_RCANCEL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_wf_0' 'hl/thm/Library/analysis/DORDER_NGE_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_even_2' 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lor_lnot_diag'#@#variant 'hl/thm/calc_int/REAL_ADD_RINV_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rle_max_compat_r' 'hl/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_neq_0_succ' 'hl/thm/arith/FACT_NZ_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_even_1' 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_le_mono_l' 'hl/thm/int/INT_LT_LADD_'
0. 'coq/Coq_Reals_Rtrigo1_SIN_bound/0' 'hl/thm/Library/transc/ATN_/0'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_even_0' 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_add_distr_l' 'hl/thm/realax/TREAL_ADD_LDISTRIB_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_le_mono' 'hl/thm/Library/transc/ATN_MONO_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_setbit_spec_prime'#@#variant 'hl/thm/real/REAL_SUB_RNEG_'
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_Ropp' 'hl/thm/Library/transc/COS_ABS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_divide_mono_r' 'hl/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div2_nonneg'#@#variant 'hl/thm/Multivariate/complexes/REAL_INV_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_lt_mono_l' 'hl/thm/arith/LE_ADD_LCANCEL_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_opp_norm' 'hl/thm/Multivariate/transcendentals/REAL_SIN_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sgn_nonneg'#@#variant 'hl/thm/Library/floor/RATIONAL_NEG_EQ_'
0. 'coq/Coq_NArith_BinNat_N_lt_succ_diag_r' 'hl/thm/arith/LT_POW2_REFL_'#@#variant
0. 'coq/Coq_Bool_Bool_xorb_false_l' 'hl/thm/realax/HREAL_ADD_LID_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_divide_l' 'hl/thm/Library/analysis/SUB_LESS_EQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_pos'#@#variant 'hl/thm/Multivariate/transcendentals/REAL_EXP_LT_1_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_inv_normc' 'hl/thm/int/int_abs_th_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div2_nonneg'#@#variant 'hl/thm/real/REAL_LT_INV_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_r' 'hl/thm/realax/NADD_LE_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_succ_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LNEG_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_log2_log2_up' 'hl/thm/Multivariate/transcendentals/REAL_EXP_LE_X_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rle_min_compat_l' 'hl/thm/Library/prime/DIVIDES_MUL_L_'
0. 'coq/Coq_QArith_Qabs_Qle_Qabs' 'hl/thm/arith/LT_POW2_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_0_r' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RZERO_'#@#variant
0. 'coq/Coq_Reals_Exp_prop_div2_not_R0'#@#variant 'hl/thm/Library/transc/LN_POS_LT_'#@#variant
0. 'coq/Coq_PArith_Pnat_Nat2Pos_inj_pred' 'hl/thm/Multivariate/transcendentals/CX_SIN_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_succ' 'hl/thm/Complex/complex_transc/CEXP_NEG_'
0. 'coq/Coq_PArith_BinPos_Pos_mul_le_mono_l' 'hl/thm/arith/LE_ADD_LCANCEL_'
0. 'coq/Coq_NArith_BinNat_N_le_0_l' 'hl/thm/Library/prime/DIVIDES_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_nonneg'#@#variant 'hl/thm/int/INT_SGN_INEQS_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_move_r' 'hl/thm/int/INT_EQ_SUB_RADD_'
0. 'coq/Coq_NArith_BinNat_N_lt_succ_diag_r' 'hl/thm/int/INT_ABS_LE_'
0. 'coq/Coq_NArith_BinNat_N_div2_double' 'hl/thm/Multivariate/transcendentals/CCOS_CACS_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_refl' 'hl/thm/arith/LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lxor_lnot_lnot' 'hl/thm/arith/SUB_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div2_nonneg'#@#variant 'hl/thm/Library/floor/INTEGER_NEG_'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_pos'#@#variant 'hl/thm/Library/transc/LN_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_lt_mono_l' 'hl/thm/int/INT_LT_LADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_l' 'hl/thm/Library/integer/INT_DIVIDES_MUL_L_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_trichotomy' 'hl/thm/int/INT_LT_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_pred_l' 'hl/thm/calc_int/REAL_MUL_LNEG_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_opp_r' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_RNEG_'
0. 'coq/Coq_Reals_Rfunctions_Rpow_mult_distr' 'hl/thm/int/INT_POW_MUL_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_sgn' 'hl/thm/Complex/complexnumbers/CX_NEG_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_odd_opp' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_NEG_'
0. 'coq/Coq_ZArith_BinInt_Z_lnot_involutive' 'hl/thm/int/INT_NEGNEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_shuffle3' 'hl/thm/real/REAL_MIN_ACI_2'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_ngt' 'hl/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_lt_mono_r' 'hl/thm/realax/HREAL_LE_ADD_RCANCEL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_nonneg'#@#variant 'hl/thm/real/REAL_LT_MUL2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pred_le_mono' 'hl/thm/arith/FACT_MONO_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_le_mono' 'hl/thm/Library/transc/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Reals_RIneq_double'#@#variant 'hl/thm/arith/BIT0_'
0. 'coq/Coq_NArith_BinNat_N_lxor_0_l' 'hl/thm/realax/REAL_MUL_LID_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_log2_up_succ_le' 'hl/thm/Library/floor/FLOOR_DOUBLE_/0'#@#variant
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_div2' 'hl/thm/Multivariate/complexes/IM_CNJ_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qplus_le_l' 'hl/thm/realax/NADD_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_le_compat_r' 'hl/thm/realax/HREAL_LE_MUL_RCANCEL_IMP_'
0. 'coq/Coq_ZArith_BinInt_Z_sgn_null_iff' 'hl/thm/int/INT_NEG_EQ_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_lt_mono_r_iff'#@#variant 'hl/thm/int/INT_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_clearbit_spec_prime'#@#variant 'hl/thm/Complex/complexnumbers/complex_div_'
0. 'coq/Coq_Reals_R_sqrt_sqrt_lt_R0'#@#variant 'hl/thm/Library/floor/RATIONAL_ABS_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_pos'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_POS_LT_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_le_trans' 'hl/thm/arith/LTE_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_pred_l' 'hl/thm/arith/ADD_CLAUSES_2'
0. 'coq/Coq_ZArith_BinInt_Z_ge_le_iff' 'hl/thm/arith/GT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_setbit_spec_prime'#@#variant 'hl/thm/realax/real_sub_'
0. 'coq/Coq_QArith_QArith_base_Qplus_inj_r' 'hl/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_NArith_BinNat_N_log2_pos'#@#variant 'hl/thm/Library/transc/LN_POS_LT_'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_succ' 'hl/thm/Complex/complexnumbers/CX_NEG_'
0. 'coq/Coq_Reals_RIneq_Rmult_lt_compat_r'#@#variant 'hl/thm/real/REAL_LE_RMUL_'#@#variant
0. 'coq/Coq_Reals_ROrderedType_ROrder_le_refl' 'hl/thm/realax/TREAL_LE_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_sub_r' 'hl/thm/Library/integer/INT_DIVIDES_ADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_lub_lt_iff' 'hl/thm/real/REAL_MAX_LT_'
0. 'coq/Coq_PArith_Pnat_SuccNat2Pos_inj_succ' 'hl/thm/Multivariate/transcendentals/CX_COS_'#@#variant
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_pred' 'hl/thm/Multivariate/complexes/CX_INV_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_sub_lt' 'hl/thm/arith/DIV_LT_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_shuffle3' 'hl/thm/int/INT_MUL_AC_2'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div2_neg' 'hl/thm/int/INT_SGN_INEQS_8'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_lub_lt_iff' 'hl/thm/int/INT_MAX_LT_'
0. 'coq/Coq_NArith_BinNat_N_div2_succ_double' 'hl/thm/Multivariate/transcendentals/CSIN_CASN_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_le_ge_cases' 'hl/thm/arith/LE_CASES_'
0. 'coq/Coq_QArith_Qminmax_Q_max_le_compat_r' 'hl/thm/Library/prime/DIVIDES_EXP_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_gcd_greatest' 'hl/thm/Library/prime/DIVIDES_SUB_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_shuffle3' 'hl/thm/int/INT_MAX_ACI_2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_shuffle3' 'hl/thm/int/INT_MIN_ACI_2'
0. 'coq/Coq_QArith_Qcanon_Qclt_not_le' 'hl/thm/realarith/REAL_LTE_ANTISYM_'
0. 'coq/Coq_NArith_BinNat_N_divide_sub_r' 'hl/thm/Library/integer/INT_DIVIDES_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_1_l'#@#variant 'hl/thm/arith/MULT_CLAUSES_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_pos'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_POS_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_cancel_r' 'hl/thm/int/INT_EQ_ADD_RCANCEL_'
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_r' 'hl/thm/realax/HREAL_LE_MUL_RCANCEL_IMP_'
0. 'coq/Coq_ZArith_BinInt_Z_sgn_nonneg'#@#variant 'hl/thm/real/REAL_LE_INV_EQ_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_1_l' 'hl/thm/realax/REAL_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_1_l' 'hl/thm/realax/HREAL_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftr_div_pow2'#@#variant 'hl/thm/Complex/complexnumbers/complex_div_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_le_mono' 'hl/thm/arith/FACT_MONO_'
0. 'coq/Coq_ZArith_Zpow_facts_Zpower_pos_pos'#@#variant 'hl/thm/Library/floor/INTEGER_CLOSED_4'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_pos'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_POS_LT_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_le_mono' 'hl/thm/Library/transc/ATN_MONO_LT_'
0. 'coq/Coq_ZArith_Znumtheory_not_prime_0' 'hl/thm/Library/prime/PRIME_1_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_nge' 'hl/thm/Library/analysis/real_le_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_shiftr_land' 'hl/thm/realax/NADD_RDISTRIB_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_divide_l' 'hl/thm/real/REAL_MIN_MIN_/0'
0. 'coq/Coq_ZArith_Zeven_Zquot2_opp' 'hl/thm/calc_num/ARITH_6'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_refl' 'hl/thm/realax/NADD_EQ_REFL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_le_compat_l' 'hl/thm/real/REAL_LT_LADD_IMP_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_pos' 'hl/thm/calc_num/ARITH_80'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_shuffle3' 'hl/thm/arith/MULT_AC_2'
0. 'coq/Coq_Reals_Rminmax_R_OT_lt_total' 'hl/thm/real/REAL_LT_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_diag' 'hl/thm/real/REAL_MIN_ACI_3'
0. 'coq/Coq_ZArith_BinInt_Z_sgn_opp' 'hl/thm/Multivariate/transcendentals/TAN_NEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_le_lin' 'hl/thm/Library/pratt/PHI_LIMIT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_setbit_spec_prime'#@#variant 'hl/thm/int/INT_SUB_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_double_size_level' 'hl/thm/Complex/complexnumbers/CX_INV_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_factor_l' 'hl/thm/int/INT_MAX_MAX_/0'
0. 'coq/Coq_Reals_Rtrigo1_neg_cos' 'hl/thm/Multivariate/transcendentals/COS_PERIODIC_PI_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_add_lt_sub_r' 'hl/thm/real/REAL_LT_ADD_SUB_'
0. 'coq/Coq_Bool_Bool_negb_andb' 'hl/thm/Complex/complex_transc/CEXP_ADD_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_div2' 'hl/thm/int/int_sgn_th_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_nonneg_cancel_l'#@#variant 'hl/thm/real/REAL_LE_MUL_EQ_0'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_r' 'hl/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_succ_not_1' 'hl/thm/Library/transc/REAL_EXP_NZ_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rmult_opp_opp' 'hl/thm/arith/SUB_SUC_'
0. 'coq/Coq_PArith_BinPos_Pos_gcd_divide_l' 'hl/thm/real/REAL_MIN_MIN_/0'
0. 'coq/Coq_Reals_Rtopology_open_set_P3' 'hl/thm/Multivariate/realanalysis/REAL_OPEN_UNION_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_shuffle3' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_AC_2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_add_le' 'hl/thm/real/REAL_ABS_TRIANGLE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_shiftr' 'hl/thm/int/INT_SUB_LNEG_'
0. 'coq/Coq_NArith_BinNat_N_div2_double' 'hl/thm/Multivariate/transcendentals/CSIN_CASN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_land_m1_l'#@#variant 'hl/thm/arith/ADD_CLAUSES_0'#@#variant
0. 'coq/Coq_NArith_BinNat_N_gcd_0_l' 'hl/thm/int/INT_ADD_LID_'#@#variant
0. 'coq/Coq_Reals_Rtopology_open_set_P2' 'hl/thm/Multivariate/realanalysis/REAL_OPEN_UNION_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pred_le_mono' 'hl/thm/Multivariate/transcendentals/ATN_MONO_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_pos'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_POS_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_succ_r' 'hl/thm/int/INT_MUL_RNEG_'
0. 'coq/Coq_QArith_Qround_Qceiling_Z' 'hl/thm/Library/floor/INT_OF_REAL_OF_INT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_ge_cases' 'hl/thm/int/INT_LE_TOTAL_'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tplus_assoc_l_stable' 'hl/thm/Library/multiplicative/MULTIPLICATIVE_SIGMA_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_rem_1_r'#@#variant 'hl/thm/arith/MOD_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_cancel_r' 'hl/thm/realax/HREAL_EQ_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_max_r' 'hl/thm/arith/LE_ADDR_'
0. 'coq/Coq_ZArith_Zorder_Zlt_0_le_0_pred'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_POS_'#@#variant
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_double_plus_one' 'hl/thm/Multivariate/complexes/IM_CNJ_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_le_mono' 'hl/thm/realax/NADD_INV_WELLDEF_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_opp_l' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_LMUL_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_le_iff' 'hl/thm/real/REAL_MIN_LT_'
0. 'coq/Coq_NArith_BinNat_N_min_id' 'hl/thm/real/REAL_MAX_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_alt_dichotomy' 'hl/thm/int/INT_LE_TOTAL_'
0. 'coq/Coq_NArith_BinNat_N_le_min_l' 'hl/thm/real/REAL_MIN_MIN_/0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_0_iff' 'hl/thm/real/REAL_SGN_INEQS_4'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_succ_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LNEG_'
0. 'coq/Coq_ZArith_Znat_Z2N_inj_succ'#@#variant 'hl/thm/Multivariate/transcendentals/CX_LOG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_land_0_r' 'hl/thm/Library/pocklington/ORDER_1_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pow_0_l' 'hl/thm/arith/DIV_0_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_sub_le' 'hl/thm/arith/DIV_LT_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_even_2'#@#variant 'hl/thm/nums/ZERO_DEF_'
0. 'coq/Coq_ZArith_Zquot_Zquot_opp_l' 'hl/thm/calc_int/REAL_MUL_LNEG_'
0. 'coq/Coq_ZArith_BinInt_Z_setbit_spec_prime'#@#variant 'hl/thm/int/INT_SUB_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_succ_l' 'hl/thm/int/INT_MUL_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_ldiff_diag' 'hl/thm/int/INT_SUB_REFL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_square_nonneg'#@#variant 'hl/thm/int/INT_LE_SQUARE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_sub_add' 'hl/thm/arith/SUB_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_lub_iff' 'hl/thm/real/REAL_MAX_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_null'#@#variant 'hl/thm/real/REAL_SGN_EQ_1'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_opp_lt_mono' 'hl/thm/int/INT_LE_NEG2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_lt_le_mono' 'hl/thm/real/REAL_LTE_ADD2_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_null'#@#variant 'hl/thm/real/REAL_SGN_EQ_2'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_le_mono' 'hl/thm/Multivariate/transcendentals/ATN_MONO_LT_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_incr_twice' 'hl/thm/nums/BIT1_DEF_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_succ_diag_r' 'hl/thm/arith/LT_POW2_REFL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_opp_r' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_RMUL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_0_r' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RZERO_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_total' 'hl/thm/Library/analysis/LESS_LESS_CASES_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_max_distr' 'hl/thm/Library/transc/REAL_EXP_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_cancel_r' 'hl/thm/calc_int/REAL_EQ_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_pos'#@#variant 'hl/thm/int/INT_ABS_NZ_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_succ_inj_wd' 'hl/thm/Library/transc/ATN_INJ_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_le_compat_r' 'hl/thm/Library/prime/LESS_MONO_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_0_r' 'hl/thm/realax/HREAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_max_lub_iff' 'hl/thm/real/REAL_MAX_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_add_r' 'hl/thm/arith/LE_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_divide_iff' 'hl/thm/real/REAL_LT_MIN_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sub_add_distr' 'hl/thm/arith/EXP_MULT_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_lt' 'hl/thm/int/int_lt_'
0. 'coq/Coq_ZArith_BinInt_Z_lxor_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_add_cancel_r' 'hl/thm/Library/prime/DIVIDES_ADD_REVR_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_lt_mono_r' 'hl/thm/int/INT_LT_RADD_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_succ_diag_r' 'hl/thm/int/INT_ABS_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pred_div2_up' 'hl/thm/int/int_sgn_th_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_lt_iff' 'hl/thm/int/INT_MIN_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_inj_wd' 'hl/thm/nums/SUC_INJ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_0_l' 'hl/thm/arith/ADD_CLAUSES_0'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_sin_gt_0'#@#variant 'hl/thm/Library/transc/SIN_POS_PI_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_le_sub_le_add_r' 'hl/thm/int/INT_LT_SUB_LADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_0_l' 'hl/thm/arith/MULT_CLAUSES_2'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_cancel_r' 'hl/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_pos'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_POS_LE_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lcm_eq_0' 'hl/thm/Complex/complexnumbers/COMPLEX_ENTIRE_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_shiftl_ldiff' 'hl/thm/realax/NADD_RDISTRIB_'
0. 'coq/Coq_QArith_Qabs_Qabs_triangle_reverse' 'hl/thm/int/INT_SUB_ABS_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_le_compat_r' 'hl/thm/Library/integer/INT_DIVIDES_MUL_R_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_cancel_r' 'hl/thm/realax/HREAL_EQ_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_trichotomy' 'hl/thm/int/INT_LT_TOTAL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_assoc' 'hl/thm/realax/NADD_ADD_ASSOC_'
0. 'coq/Coq_MMaps_MMapPositive_PositiveMap_ME_eqk_equiv' 'hl/thm/Multivariate/topology/MCOMPLETE_EUCLIDEAN_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_le_mono_nonneg_l'#@#variant 'hl/thm/Library/analysis/REAL_LT_LMUL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_le_mono' 'hl/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_nlt_ge' 'hl/thm/realax/real_lt_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_id' 'hl/thm/real/REAL_MAX_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_2' 'hl/thm/Multivariate/transcendentals/ASN_0_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_asymm' 'hl/thm/real/REAL_LT_GT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div2_nonneg'#@#variant 'hl/thm/Multivariate/vectors/SQRT_LE_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_add_r' 'hl/thm/Library/integer/INT_DIVIDES_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_mul_l' 'hl/thm/Library/prime/DIVIDES_RMUL_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_0_l' 'hl/thm/int/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_succ_r' 'hl/thm/int/INT_NEG_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_shuffle3' 'hl/thm/calc_int/REAL_ADD_AC_2'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_inj_wd' 'hl/thm/calc_num/ARITH_57'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_le_lt_mono' 'hl/thm/int/INT_LET_ADD2_'
0. 'coq/Coq_PArith_BinPos_Pos_mul_cancel_r' 'hl/thm/int/INT_EQ_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_le_lin'#@#variant 'hl/thm/Library/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_succ_diag_r' 'hl/thm/Library/analysis/LESS_SUC_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_nonneg' 'hl/thm/Multivariate/transcendentals/ATN_BOUNDS_/0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_le_mono_r_iff'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LT_EQ_'#@#variant
0. 'coq/__constr_Coq_Arith_Even_even_0_2' 'hl/thm/Library/transc/REAL_EXP_LT_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sub_diag' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_REFL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_le_mono' 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_ge_cases' 'hl/thm/realax/TREAL_LE_TOTAL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_pos_cancel_r'#@#variant 'hl/thm/Library/floor/INTEGER_ADD_EQ_1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_add_le' 'hl/thm/int/INT_ABS_TRIANGLE_'
0. 'coq/Coq_ZArith_BinInt_Z_le_ge_cases' 'hl/thm/realax/NADD_LE_TOTAL_'
0. 'coq/Coq_ZArith_BinInt_Z_add_opp_r' 'hl/thm/Multivariate/complexes/complex_div_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_lt_mono_l_iff' 'hl/thm/Library/prime/DIVIDES_RMUL2_EQ_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_2' 'hl/thm/Multivariate/transcendentals/TAN_0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_opp_r' 'hl/thm/realax/real_sub_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_double_plus_one' 'hl/thm/Multivariate/transcendentals/CX_ATN_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_le_le_succ_r' 'hl/thm/Library/analysis/LESS_SUC_'
0. 'coq/Coq_Arith_PeanoNat_Nat_max_0_l' 'hl/thm/arith/MULT_CLAUSES_2'#@#variant
0. 'coq/Coq_QArith_Qabs_Qabs_wd' 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_inj_wd' 'hl/thm/Library/prime/CANCEL_TIMES2_'#@#variant
0. 'coq/Coq_Init_Datatypes_prod_ind' 'hl/thm/pair/pair_INDUCT_'
0. 'coq/Coq_PArith_BinPos_Pplus_one_succ_l' 'hl/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_max_le_compat_l' 'hl/thm/Library/prime/DIVIDES_MUL_L_'
0. 'coq/Coq_Arith_PeanoNat_Nat_pred_le_mono' 'hl/thm/Library/transc/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Reals_Ratan_ps_atan_opp' 'hl/thm/Complex/complexnumbers/CNJ_INV_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_le_mono' 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_divide_mono_l' 'hl/thm/realax/TREAL_LE_LADD_IMP_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qmult_le_r'#@#variant 'hl/thm/real/REAL_LT_RMUL_EQ_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rmult_ne/1' 'hl/thm/realax/REAL_MUL_LID_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lcm_diag' 'hl/thm/int/INT_MIN_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_pos'#@#variant 'hl/thm/Library/transc/REAL_EXP_LT_1_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_pos'#@#variant 'hl/thm/Library/pratt/PHI_LOWERBOUND_1_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_glb' 'hl/thm/Library/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_QArith_Qabs_Qabs_wd' 'hl/thm/Library/floor/FLOOR_MONO_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_opp' 'hl/thm/Multivariate/vectors/SQRT_INV_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_le' 'hl/thm/int/int_lt_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_pred'#@#variant 'hl/thm/Multivariate/transcendentals/CX_LOG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_1_r' 'hl/thm/arith/ADD_0_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_1_l'#@#variant 'hl/thm/realax/REAL_ADD_LID_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_opp' 'hl/thm/Multivariate/transcendentals/CX_EXP_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_le_refl' 'hl/thm/Complex/cpoly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_0_l' 'hl/thm/realax/REAL_MUL_LID_'#@#variant
0. 'coq/Coq_Reals_Rpower_ln_exp' 'hl/thm/Library/transc/ATN_/2'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_pos_l'#@#variant 'hl/thm/Library/analysis/REAL_LE_LMUL_LOCAL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_ge_cases' 'hl/thm/arith/LET_CASES_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_le_iff' 'hl/thm/int/INT_MIN_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_le_lin'#@#variant 'hl/thm/Library/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_alt_dichotomy' 'hl/thm/realax/HREAL_LE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_nlt_0_r' 'hl/thm/Library/prime/NOT_LESS_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_le_mono_r' 'hl/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_square_spec' 'hl/thm/real/REAL_MUL_2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_divide_cancel_r' 'hl/thm/Library/integer/INT_DIVIDES_RMUL2_EQ_'#@#variant
0. 'coq/Coq_Reals_Rfunctions_powerRZ_lt'#@#variant 'hl/thm/Library/floor/RATIONAL_CLOSED_6'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_le_compat_r' 'hl/thm/Library/analysis/LESS_MONO_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_sub_le_add_r' 'hl/thm/real/REAL_LE_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_pred_l' 'hl/thm/Library/floor/FLOOR_/1'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_pos_r'#@#variant 'hl/thm/real/REAL_LE_RMUL_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_sub_r' 'hl/thm/Library/prime/DIVIDES_SUB_'
0. 'coq/Coq_ZArith_BinInt_Z_min_le_compat_r' 'hl/thm/Library/analysis/LESS_MONO_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_glb_lt_iff' 'hl/thm/int/INT_LE_MIN_'
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_pos'#@#variant 'hl/thm/Library/transc/ATN_POS_LE_'#@#variant
0. 'coq/Coq_NArith_Nnat_Nat2N_id' 'hl/thm/Multivariate/vectors/LIFT_DROP_1'#@#variant
0. 'coq/Coq_Arith_Lt_le_not_lt' 'hl/thm/realarith/REAL_LTE_ANTISYM_'
0. 'coq/Coq_PArith_BinPos_Pos_add_le_mono_r' 'hl/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_Reals_RIneq_Ropp_minus_distr' 'hl/thm/real/REAL_INV_DIV_'
0. 'coq/Coq_Reals_Rtrigo1_SIN_bound/0'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_BOUNDS_/0'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_invc' 'hl/thm/Multivariate/transcendentals/CX_TAN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_divide_cancel_r' 'hl/thm/Library/prime/DIVIDES_EXP2_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_2' 'hl/thm/real/REAL_ABS_0_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_succ_inj_wd' 'hl/thm/Multivariate/transcendentals/ATN_INJ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_reg_l' 'hl/thm/Library/analysis/REAL_EQ_LMUL_IMP_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_glb_lt' 'hl/thm/Library/prime/DIVIDES_SUB_'
0. 'coq/Coq_Reals_Rtrigo1_sin_ge_0'#@#variant 'hl/thm/Multivariate/transcendentals/SIN_POS_PI_LE_'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_lt' 'hl/thm/real/REAL_OF_NUM_GT_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_pos_r'#@#variant 'hl/thm/real/REAL_LT_DIV2_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_divide_mono_r' 'hl/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_ldiff_ldiff_l' 'hl/thm/arith/EXP_MULT_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_carry_reg_l' 'hl/thm/realax/HREAL_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_r' 'hl/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_div2_double'#@#variant 'hl/thm/arith/PRE_1'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_cancel_l' 'hl/thm/arith/LE_ADD_LCANCEL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_gt_lt_iff' 'hl/thm/arith/GT_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_gt' 'hl/thm/realax/TREAL_OF_NUM_LE_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div_pos'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_LT_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_add_lt_sub_r' 'hl/thm/real/REAL_LE_SUB_LADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_total' 'hl/thm/Library/analysis/LESS_LESS_CASES_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_sub_r' 'hl/thm/Library/integer/INT_DIVIDES_SUB_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_divide_refl' 'hl/thm/realax/NADD_LE_REFL_'
0. 'coq/Coq_Reals_Ratan_Ropp_div' 'hl/thm/Multivariate/transcendentals/REAL_INV_RPOW_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_glb_lt' 'hl/thm/Library/prime/DIVIDES_SUB_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mod_mod' 'hl/thm/arith/MOD_MOD_REFL_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_succ_diag_r' 'hl/thm/Library/analysis/LESS_EQ_SUC_REFL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_pos_l'#@#variant 'hl/thm/Library/analysis/REAL_LE_LMUL_LOCAL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_move_r' 'hl/thm/real/REAL_EQ_SUB_LADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_opp_l' 'hl/thm/calc_int/REAL_MUL_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_shuffle3' 'hl/thm/arith/MULT_AC_2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_divide_mono_r' 'hl/thm/Library/prime/DIVIDES_EXP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_lt_mono_r' 'hl/thm/int/INT_LE_RADD_'
0. 'coq/Coq_QArith_QArith_base_Qlt_irrefl' 'hl/thm/int/INT_LT_REFL_'
0. 'coq/Coq_Reals_Rtrigo1_PI4_RLT_PI2'#@#variant 'hl/thm/Library/transc/PI2_BOUNDS_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_r' 'hl/thm/realax/NADD_LE_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_odd_2'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_pred' 'hl/thm/Library/transc/ATN_TAN_'
0. 'coq/Coq_ZArith_BinInt_Z2Pos_inj_1'#@#variant 'hl/thm/nums/ZERO_DEF_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_ge_cases' 'hl/thm/realax/REAL_LE_TOTAL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_odd_opp' 'hl/thm/Multivariate/complexes/RE_CNJ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_le_mono' 'hl/thm/Library/transc/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_succ_inj_wd' 'hl/thm/real/REAL_EQ_NEG2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_nonpos' 'hl/thm/int/INT_SGN_INEQS_7'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_pos_l'#@#variant 'hl/thm/Library/analysis/REAL_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_le_mono' 'hl/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rlt_or_le' 'hl/thm/realarith/REAL_LTE_TOTAL_'
0. 'coq/Coq_NArith_BinNat_N_log2_le_mono' 'hl/thm/Library/transc/ATN_MONO_LT_'
0. 'coq/Coq_Bool_Bool_andb_true_l' 'hl/thm/realax/REAL_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_1_l' 'hl/thm/Complex/complexnumbers/COMPLEX_POLY_NEG_CLAUSES_0'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_opp_r' 'hl/thm/calc_int/REAL_MUL_RNEG_'
0. 'coq/Coq_ZArith_Zgcd_alt_Zgcd_bound_opp' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_NEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_sub_r' 'hl/thm/Library/integer/INT_DIVIDES_ADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_pos'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_POS_LT_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lt_pred_l' 'hl/thm/Library/pocklington/PHI_LIMIT_'
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_divide_l' 'hl/thm/real/REAL_MIN_MIN_/0'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_le_compat_r' 'hl/thm/Library/prime/DIVIDES_MUL_R_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_simpl_l' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_SUB_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_1_r' 'hl/thm/arith/MULT_0_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_max_1_l' 'hl/thm/realax/REAL_MUL_LID_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sgn_nonpos' 'hl/thm/int/INT_SGN_INEQS_6'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_le_mono_r' 'hl/thm/int/INT_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_shuffle3' 'hl/thm/int/INT_MIN_ACI_2'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_succ_r' 'hl/thm/arith/ADD_SUC_'
0. 'coq/Coq_Reals_RIneq_Rgt_not_ge' 'hl/thm/realarith/REAL_LTE_ANTISYM_'
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lt_sub_lt_add_r' 'hl/thm/int/INT_LT_ADD_SUB_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_lt_mono'#@#variant 'hl/thm/real/REAL_LE_MUL2_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_pos'#@#variant 'hl/thm/Library/transc/LN_POS_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_0_l' 'hl/thm/Library/integer/INT_DIVIDES_1_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_eq_le_incl' 'hl/thm/real/REAL_EQ_IMP_LE_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_0' 'hl/thm/nums/ZERO_DEF_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_succ_r' 'hl/thm/real/REAL_NEG_RMUL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_lt_le_mono' 'hl/thm/int/INT_LTE_ADD2_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_1_r' 'hl/thm/arith/ADD1_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Zlt_Qlt' 'hl/thm/realax/TREAL_OF_NUM_LE_'#@#variant
0. 'coq/Coq_Reals_Rtrigo_def_sin_antisym' 'hl/thm/Multivariate/transcendentals/CNJ_CEXP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_nonneg_nonpos'#@#variant 'hl/thm/int/INT_NEG_GE0_'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_le' 'hl/thm/real/REAL_OF_NUM_GT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_glb_iff' 'hl/thm/real/REAL_LT_MIN_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_trichotomy' 'hl/thm/Library/analysis/LESS_CASES_IMP_'
0. 'coq/Coq_QArith_QOrderedType_QOrder_eq_refl' 'hl/thm/realax/REAL_LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_le_mono' 'hl/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_add_le_mono_r' 'hl/thm/int/INT_LE_RADD_'
0. 'coq/Coq_Reals_RIneq_Rinv_involutive' 'hl/thm/Library/analysis/REAL_INVINV_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_add_succ_l' 'hl/thm/int/INT_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_add_le' 'hl/thm/int/INT_ABS_TRIANGLE_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_double_size_level' 'hl/thm/Multivariate/complexes/IM_CNJ_'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_ge' 'hl/thm/realax/TREAL_OF_NUM_LE_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_add_cancel_r' 'hl/thm/Library/integer/INT_DIVIDES_ADD_REVR_'
0. 'coq/Coq_Reals_Rtrigo1__PI2_RLT_0'#@#variant 'hl/thm/Library/transc/COS_2_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_SIN_bound/1' 'hl/thm/calc_num/ARITH_83'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_le_mono_l' 'hl/thm/arith/LE_ADD_LCANCEL_'
0. 'coq/Coq_NArith_BinNat_N_lcm_0_r' 'hl/thm/int/INT_MUL_RZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lcm_divide_iff' 'hl/thm/int/INT_MAX_LE_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_pos'#@#variant 'hl/thm/Library/transc/LN_POS_'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_gt' 'hl/thm/int/num_divides_'
0. 'coq/Coq_NArith_BinNat_N_min_0_r' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RZERO_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_lor' 'hl/thm/Complex/complex_transc/CEXP_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_pos'#@#variant 'hl/thm/Library/pocklington/EVEN_PHI_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_1_r' 'hl/thm/int/INT_MUL_RZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_le_lin' 'hl/thm/Library/pratt/PHI_LIMIT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_nlt_ge' 'hl/thm/int/INT_LT_'
0. 'coq/Coq_Reals_R_sqr_Rsqr_pos_lt'#@#variant 'hl/thm/int/INT_ABS_CASES_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_sqrt' 'hl/thm/Multivariate/transcendentals/CX_COS_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_le_mono' 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_pos'#@#variant 'hl/thm/Library/pocklington/PHI_LOWERBOUND_2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_min_l' 'hl/thm/Library/analysis/SUB_LESS_EQ_'
0. 'coq/Coq_QArith_QOrderedType_QOrder_not_gt_le' 'hl/thm/realarith/REAL_LTE_TOTAL_'
0. 'coq/Coq_QArith_Qminmax_Q_max_le_compat_r' 'hl/thm/Library/analysis/LESS_MONO_ADD_'
0. 'coq/Coq_NArith_BinNat_N_lxor_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_add_le' 'hl/thm/int/INT_ABS_TRIANGLE_'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tred_factor5_stable' 'hl/thm/Library/multiplicative/MULTIPLICATIVE_TAU_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lxor_eq_0_iff' 'hl/thm/int/INT_SUB_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_0_r' 'hl/thm/arith/MULT_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_add_le' 'hl/thm/real/REAL_ABS_TRIANGLE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_nonneg_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_lxor_l' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_LMUL_'
0. 'coq/Coq_Reals_RIneq_Rplus_le_compat_r' 'hl/thm/Library/integer/INT_DIVIDES_MUL_R_'
0. 'coq/Coq_Reals_Ratan_Datan_seq_pos'#@#variant 'hl/thm/real/REAL_POW_LE_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_gt_lt_iff' 'hl/thm/arith/GT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lcm_eq_0' 'hl/thm/int/INT_ENTIRE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_0_r' 'hl/thm/Library/prime/LESS_EQ_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_pos_spec' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_CX_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_min_distr' 'hl/thm/Library/transc/REAL_EXP_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lor_eq_0_iff' 'hl/thm/arith/MULT_EQ_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_1_l'#@#variant 'hl/thm/int/INT_MUL_LID_'#@#variant
0. 'coq/Coq_Arith_Mult_mult_le_compat_l' 'hl/thm/realax/NADD_LE_LMUL_'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tred_factor0_stable' 'hl/thm/Library/multiplicative/MULTIPLICATIVE_SIGMA_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_pred_l' 'hl/thm/Multivariate/transcendentals/RPOW_INV_'
0. 'coq/Coq_Reals_Rtrigo1_cos_3PI2'#@#variant 'hl/thm/Library/transc/TAN_PI4_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sub_add_distr' 'hl/thm/arith/EXP_MULT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_pos'#@#variant 'hl/thm/Library/pratt/PHI_LOWERBOUND_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_abs' 'hl/thm/real/REAL_SGN_'
0. 'coq/Coq_ZArith_BinInt_Z_gcd_1_r'#@#variant 'hl/thm/realax/HREAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_pos'#@#variant 'hl/thm/Library/pocklington/PHI_LOWERBOUND_2_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_le_0_r' 'hl/thm/Library/prime/DIVIDES_ONE_'#@#variant
0. 'coq/Coq_Reals_Rtrigo_calc_sin_cos_PI4'#@#variant 'hl/thm/calc_num/ARITH_3'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_mod' 'hl/thm/arith/MOD_MULT_MOD2_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rmult_le_compat_r'#@#variant 'hl/thm/Library/analysis/REAL_LE_RMUL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_succ_l' 'hl/thm/calc_int/REAL_MUL_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lor_eq_0_iff' 'hl/thm/arith/ADD_EQ_0_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lcm_1_l'#@#variant 'hl/thm/int/INT_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_lt_mono_l' 'hl/thm/real/REAL_LE_LADD_'
0. 'coq/Coq_ZArith_BinInt_Z_opp_inj_wd' 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_NEG2_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_pos_l'#@#variant 'hl/thm/Library/analysis/REAL_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_Arith_Plus_le_plus_l' 'hl/thm/int/INT_MAX_MAX_/0'
0. 'coq/Coq_Reals_RIneq_Req_le' 'hl/thm/int/INT_EQ_IMP_LE_'
0. 'coq/Coq_QArith_QArith_base_Qinv_lt_0_compat'#@#variant 'hl/thm/Library/pratt/PHI_LOWERBOUND_1_STRONG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mod_1_r'#@#variant 'hl/thm/arith/EXP_0'#@#variant
0. 'coq/Coq_Reals_Exp_prop_div2_double'#@#variant 'hl/thm/Library/transc/LN_EXP_'
0. 'coq/Coq_QArith_QArith_base_Qinv_lt_0_compat'#@#variant 'hl/thm/Library/transc/SQRT_POS_LE_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div_pos'#@#variant 'hl/thm/realarith/REAL_LTE_ADD_'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_ge' 'hl/thm/int/num_divides_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_le_compat_r' 'hl/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_sub_le_mono_r' 'hl/thm/arith/EXP_MONO_LE_IMP_'
0. 'coq/Coq_QArith_Qminmax_Q_max_le_compat_l' 'hl/thm/realax/TREAL_LE_LADD_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_succ_r' 'hl/thm/calc_int/REAL_MUL_RNEG_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_null_iff' 'hl/thm/int/INT_NEG_EQ_0_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qnot_le_lt' 'hl/thm/int/INT_LTE_TOTAL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_nonneg' 'hl/thm/real/REAL_SGN_INEQS_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_le_mono' 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Arith_PeanoNat_Nat_div_0_l' 'hl/thm/arith/DIV_0_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_max_lub_r' 'hl/thm/Library/prime/DIVIDES_LMUL2_'
0. 'coq/Coq_QArith_Qabs_Qabs_Qle_condition' 'hl/thm/real/REAL_BOUNDS_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_succ_l' 'hl/thm/arith/ADD_CLAUSES_2'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_double'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_nonneg'#@#variant 'hl/thm/Library/integer/INT_PRIME_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_pos'#@#variant 'hl/thm/Library/integer/INT_PRIME_NEG_'
0. 'coq/Coq_ZArith_BinInt_Z_pow_0_r'#@#variant 'hl/thm/arith/EXP_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_eq_0_iff' 'hl/thm/Multivariate/transcendentals/RPOW_EQ_0_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_lt_succ_diag_r' 'hl/thm/int/INT_ABS_LE_'
0. 'coq/Coq_NArith_BinNat_N_min_le_compat_r' 'hl/thm/Library/prime/LESS_MONO_ADD_'
0. 'coq/Coq_Reals_Rfunctions_pow1' 'hl/thm/real/REAL_POW_ONE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_clearbit_spec_prime'#@#variant 'hl/thm/Multivariate/complexes/complex_div_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_eq_mul_0' 'hl/thm/Complex/complexnumbers/COMPLEX_ENTIRE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_glb_lt_iff' 'hl/thm/real/REAL_LT_MIN_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_gt_lt_iff' 'hl/thm/int/INT_GT_'
0. 'coq/Coq_QArith_Qreduction_Qred_comp' 'hl/thm/Multivariate/vectors/SQRT_MONO_LE_'
0. 'coq/Coq_ZArith_BinInt_Z_divide_add_r' 'hl/thm/Library/prime/DIVIDES_SUB_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_lt_mono_pos_l'#@#variant 'hl/thm/real/REAL_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_opp_pos_neg'#@#variant 'hl/thm/real/REAL_NEG_GE0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_le_mono_l' 'hl/thm/realax/HREAL_LE_MUL_RCANCEL_IMP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_shuffle3' 'hl/thm/calc_int/REAL_ADD_AC_2'
0. 'coq/Coq_Bool_Bool_andb_true_l' 'hl/thm/realax/HREAL_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_inj_wd' 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_NEG2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_divide_mono_r' 'hl/thm/arith/EXP_MONO_LE_IMP_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_lt_mono_r_iff'#@#variant 'hl/thm/real/REAL_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_glb_lt_iff' 'hl/thm/int/INT_LE_MIN_'
0. 'coq/Coq_NArith_BinNat_N_lcm_1_l'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant
0. 'coq/Coq_QArith_Qreduction_Qred_opp' 'hl/thm/Multivariate/vectors/SQRT_NEG_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_sub' 'hl/thm/real/REAL_SUB_ADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_le_compat_l' 'hl/thm/realax/NADD_LE_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_max_r' 'hl/thm/int/INT_MAX_MAX_/1'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_lt_trans' 'hl/thm/arith/LET_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_Zpos' 'hl/thm/realax/REAL_OF_NUM_LE_'
0. 'coq/Coq_ZArith_BinInt_Z_add_move_0_l' 'hl/thm/int/INT_RNEG_UNIQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lcm_1_l'#@#variant 'hl/thm/int/INT_ADD_LID_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_opp_l' 'hl/thm/Multivariate/transcendentals/REAL_ABS_RPOW_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_add_lt_sub_r' 'hl/thm/int/INT_LT_SUB_LADD_'
0. 'coq/Coq_QArith_Qminmax_Q_max_comm' 'hl/thm/realax/NADD_MUL_SYM_'
0. 'coq/Coq_QArith_QOrderedType_QOrder_eq_refl' 'hl/thm/realax/NADD_EQ_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_l' 'hl/thm/realax/TREAL_LE_LADD_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_le_mono_l' 'hl/thm/realax/NADD_LE_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_pow' 'hl/thm/int/INT_NEG_LMUL_'
0. 'coq/Coq_Numbers_Cyclic_DoubleCyclic_DoubleBase_wwB_wBwB'#@#variant 'hl/thm/real/REAL_OF_NUM_SUC_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lxor_lnot_lnot' 'hl/thm/arith/SUB_SUC_'
0. 'coq/Coq_ZArith_BinInt_Z_sgn_opp' 'hl/thm/Multivariate/transcendentals/ATN_ABS_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_power_norm' 'hl/thm/Library/floor/INTEGER_POW_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_l' 'hl/thm/Library/prime/DIVIDES_MUL_L_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_neg_pos'#@#variant 'hl/thm/real/REAL_NEG_LT0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div_same'#@#variant 'hl/thm/real/REAL_DIV_REFL_'#@#variant
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_bounded/0'#@#variant 'hl/thm/realarith/REAL_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_le_compat_l' 'hl/thm/int/INT_LE_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_irrefl' 'hl/thm/int/INT_LT_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_even_1'#@#variant 'hl/thm/nums/ZERO_DEF_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_le_mono' 'hl/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_ge_cases' 'hl/thm/realax/TREAL_LE_TOTAL_'#@#variant
0. 'coq/Coq_Reals_R_sqrt_sqrt_lt_R0'#@#variant 'hl/thm/Multivariate/transcendentals/REAL_SIN_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lt_1_mul_pos'#@#variant 'hl/thm/realarith/REAL_LTE_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_eq_mul_m1'#@#variant 'hl/thm/arith/ADD1_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rplus_ne/1' 'hl/thm/arith/MULT_CLAUSES_2'#@#variant
0. 'coq/Coq_fourier_Fourier_util_Rfourier_eqLR_to_le' 'hl/thm/real/REAL_EQ_IMP_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_pos'#@#variant 'hl/thm/Library/pocklington/EVEN_PHI_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_max_le_compat_r' 'hl/thm/realax/NADD_LE_RMUL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_le_trans' 'hl/thm/realarith/REAL_LTE_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lor_0_l' 'hl/thm/realax/REAL_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_double'#@#variant 'hl/thm/Library/transc/LN_INV_'#@#variant
0. 'coq/Coq_QArith_Qminmax_Q_min_le_compat_l' 'hl/thm/realax/NADD_MUL_WELLDEF_LEMMA_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_2'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_ones_equiv'#@#variant 'hl/thm/calc_num/ARITH_4'
0. 'coq/Coq_Arith_Plus_le_plus_l' 'hl/thm/realax/NADD_LE_ADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_gcd_divide_iff' 'hl/thm/int/INT_LE_MIN_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_le_mono_l' 'hl/thm/arith/LE_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_nlt' 'hl/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_eq_cases' 'hl/thm/int/INT_LE_LT_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_0_l' 'hl/thm/realax/NADD_ADD_LID_'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_one_neq_zero' 'hl/thm/Library/analysis/REAL_10_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rmin_glb_lt' 'hl/thm/Library/prime/DIVIDES_ADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_eq_0' 'hl/thm/int/INT_ENTIRE_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_lt_mono'#@#variant 'hl/thm/real/REAL_LT_MUL2_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LE_'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_double'#@#variant 'hl/thm/Complex/complex_transc/CX_CEXP_'
0. 'coq/Coq_Arith_PeanoNat_Nat_pred_le_mono' 'hl/thm/realax/NADD_INV_WELLDEF_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_1_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_le_compat_r' 'hl/thm/Library/integer/INT_DIVIDES_MUL_R_'
0. 'coq/Coq_Reals_Rbasic_fun_Rle_min_compat_l' 'hl/thm/realax/NADD_LE_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_succ_l' 'hl/thm/Multivariate/transcendentals/RPOW_INV_'
0. 'coq/Coq_ZArith_BinInt_Z_square_spec' 'hl/thm/arith/MULT_2_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_le_0_l' 'hl/thm/realax/NADD_LE_0_'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_lt' 'hl/thm/int/INT_OF_NUM_GE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_odd_opp' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_NEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_nonneg'#@#variant 'hl/thm/real/REAL_LT_MUL2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_sub_r' 'hl/thm/Library/prime/DIVIDES_SUB_'
0. 'coq/Coq_Reals_Rtopology_compact_P2' 'hl/thm/Multivariate/realanalysis/REAL_MEASURABLE_COMPACT_'
0. 'coq/Coq_Reals_Rtrigo1_sin_shift'#@#variant 'hl/thm/Library/transc/SIN_COS_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_le_succ_diag_r' 'hl/thm/Library/analysis/LESS_SUC_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_pred_inj_wd' 'hl/thm/Library/prime/CANCEL_TIMES2_'#@#variant
0. 'coq/Coq_Arith_Mult_mult_lt_compat_r'#@#variant 'hl/thm/int/INT_LE_RMUL_'#@#variant
0. 'coq/Coq_ZArith_Zeven_Zeven_pred' 'hl/thm/Multivariate/transcendentals/REAL_EXP_LT_1_'#@#variant
0. 'coq/Coq_Reals_Rtopology_compact_P1' 'hl/thm/Multivariate/realanalysis/REAL_MEASURABLE_COMPACT_'
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_diag' 'hl/thm/int/INT_MAX_ACI_3'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_le_mono_l' 'hl/thm/realax/NADD_LE_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_opp' 'hl/thm/Library/transc/COS_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_lt_mono_l' 'hl/thm/real/REAL_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_le_mono_l' 'hl/thm/int/INT_LT_LADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_eq_cases' 'hl/thm/realarith/REAL_LE_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_pos'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_POS_LE_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_stepr' 'hl/thm/int/INT_LTE_TRANS_'
0. 'coq/Coq_QArith_QArith_base_Qplus_inj_l' 'hl/thm/realax/HREAL_LE_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_lt_mono_pos_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LE_EQ_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_lcm_l' 'hl/thm/int/INT_MAX_MAX_/0'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_lt_mono_l' 'hl/thm/realax/NADD_LE_LADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_irrefl' 'hl/thm/int/INT_LT_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_eq_mul_0' 'hl/thm/arith/MULT_EQ_0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_1_r'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_nonneg'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_POS_LE_'#@#variant
0. 'coq/Coq_QArith_Qreduction_Qred_opp' 'hl/thm/real/REAL_SGN_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_le_mono' 'hl/thm/arith/FACT_MONO_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_0_discr' 'hl/thm/Library/transc/REAL_EXP_NZ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_shuffle3' 'hl/thm/real/REAL_MUL_AC_2'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_succ_inj_wd' 'hl/thm/Multivariate/transcendentals/ATN_INJ_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_succ_diag_r' 'hl/thm/int/INT_ABS_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_mod_idemp_l' 'hl/thm/arith/MOD_EXP_MOD_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_reg_l' 'hl/thm/realax/HREAL_ADD_LCANCEL_'
0. 'coq/Coq_PArith_Pnat_SuccNat2Pos_inj_succ' 'hl/thm/Multivariate/complexes/IM_CNJ_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_opp' 'hl/thm/Multivariate/transcendentals/ATN_ABS_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_succ_diag_r' 'hl/thm/real/REAL_ABS_LE_'
0. 'coq/Coq_ZArith_BinInt_Z_min_lt_iff' 'hl/thm/int/INT_MIN_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_nge' 'hl/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_shuffle3' 'hl/thm/int/INT_MUL_AC_2'
0. 'coq/Coq_NArith_BinNat_N_pow_lt_mono_r_iff'#@#variant 'hl/thm/real/REAL_LE_LMUL_EQ_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_lt_lin'#@#variant 'hl/thm/Library/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_glb' 'hl/thm/Library/prime/DIVIDES_SUB_'
0. 'coq/Coq_NArith_BinNat_N_add_le_mono_r' 'hl/thm/arith/LE_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_1_l'#@#variant 'hl/thm/int/INT_NEG_MINUS1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_1_l'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_add_le' 'hl/thm/real/REAL_ABS_TRIANGLE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lor_0_l' 'hl/thm/arith/ADD_CLAUSES_0'#@#variant
0. 'coq/Coq_Reals_RIneq_Ropp_mult_distr_l' 'hl/thm/arith/ADD_CLAUSES_2'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftl_opp_r' 'hl/thm/Multivariate/complexes/complex_div_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lnot_ones' 'hl/thm/int/INT_ADD_LINV_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_le_mono_l' 'hl/thm/Library/integer/INT_DIVIDES_MUL_R_'
0. 'coq/Coq_Reals_RIneq_Ropp_div' 'hl/thm/Multivariate/transcendentals/REAL_INV_RPOW_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_0_l' 'hl/thm/int/INT_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_lub_r' 'hl/thm/Library/integer/INT_DIVIDES_LMUL2_'
0. 'coq/Coq_Bool_Bool_negb_orb' 'hl/thm/Complex/complex_transc/CEXP_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_r' 'hl/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_0_l' 'hl/thm/realax/NADD_LE_0_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sub_lt_mono_r' 'hl/thm/int/INT_LT_RADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_eq_0' 'hl/thm/arith/MULT_EQ_0_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_divide_1_l'#@#variant 'hl/thm/realax/NADD_LE_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div_le_upper_bound' 'hl/thm/arith/LE_LDIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_le_compat_l' 'hl/thm/realax/TREAL_LE_LADD_IMP_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ones_equiv'#@#variant 'hl/thm/calc_num/ARITH_9'
0. 'coq/Coq_Reals_Rminmax_R_le_max_r' 'hl/thm/int/INT_MAX_MAX_/1'
0. 'coq/Coq_FSets_FMapPositive_append_neutral_l' 'hl/thm/realax/REAL_ADD_LID_'#@#variant
0. 'coq/Coq_QArith_Qminmax_Q_max_lt_iff' 'hl/thm/real/REAL_LE_MAX_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_succ_inj_wd' 'hl/thm/real/REAL_EQ_NEG2_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_le' 'hl/thm/int/INT_OF_NUM_GE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_pos_nonneg'#@#variant 'hl/thm/realarith/REAL_LTE_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_reg_l' 'hl/thm/Library/prime/MULT_LCANCEL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_pos' 'hl/thm/calc_num/ARITH_72'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_even_2'#@#variant 'hl/thm/Multivariate/complexes/RE_II_'#@#variant
0. 'coq/Coq_ZArith_Znat_Zabs2Nat_inj_0' 'hl/thm/nums/ZERO_DEF_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_2' 'hl/thm/Library/transc/ATN_0_'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_double'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_INV_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_double_spec'#@#variant 'hl/thm/Library/analysis/REAL_INV_1OVER_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_le_compat_r' 'hl/thm/Library/integer/INT_DIVIDES_MUL_R_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_ones_equiv'#@#variant 'hl/thm/nums/BIT1_DEF_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_gt_cases' 'hl/thm/arith/LET_CASES_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lcm_eq_0' 'hl/thm/Complex/complexnumbers/COMPLEX_ENTIRE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_le_mono' 'hl/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_le_mono' 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lcm_diag' 'hl/thm/real/REAL_MIN_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftl_1_l'#@#variant 'hl/thm/int/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_cancel_l' 'hl/thm/arith/EQ_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_simpl_l' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lxor_nilpotent' 'hl/thm/arith/SUB_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_le_iff' 'hl/thm/real/REAL_LE_MAX_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_double_plus_one' 'hl/thm/Multivariate/transcendentals/CX_EXP_'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_gt' 'hl/thm/int/int_lt_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_nonpos' 'hl/thm/int/INT_SGN_INEQS_5'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_shuffle3' 'hl/thm/Multivariate/complexes/COMPLEX_MUL_AC_2'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_neg_xO'#@#variant 'hl/thm/int/int_neg_th_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_pred_l' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_LMUL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_sub_le_add_r' 'hl/thm/Library/analysis/SUB_LEFT_GREATER_EQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_glb_iff' 'hl/thm/real/REAL_LT_MIN_'
0. 'coq/Coq_QArith_Qcanon_Qcle_refl' 'hl/thm/Complex/cpoly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_add_le' 'hl/thm/int/INT_ABS_TRIANGLE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lor_0_l' 'hl/thm/int/INT_MUL_LID_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_glb' 'hl/thm/Library/prime/DIVIDES_SUB_'
0. 'coq/Coq_QArith_QArith_base_Qlt_le_trans' 'hl/thm/realarith/REAL_LTE_TRANS_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_pos'#@#variant 'hl/thm/Library/floor/RATIONAL_NEG_EQ_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_lub_lt_iff' 'hl/thm/int/INT_MAX_LT_'
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_1_r'#@#variant 'hl/thm/Library/prime/INDEX_0_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_div2_nonneg'#@#variant 'hl/thm/real/REAL_SGN_INEQS_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_pos'#@#variant 'hl/thm/Multivariate/complexes/REAL_INV_EQ_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_min_l' 'hl/thm/real/REAL_MIN_MIN_/0'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_succ_l' 'hl/thm/Multivariate/transcendentals/RPOW_INV_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_1_r'#@#variant 'hl/thm/realax/HREAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_le_mono_r' 'hl/thm/int/INT_LT_RADD_'
0. 'coq/Coq_NArith_BinNat_N_mul_succ_l' 'hl/thm/arith/MULT_1'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_2' 'hl/thm/Library/transc/SIN_0_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_le_mono' 'hl/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qle_refl' 'hl/thm/realax/NADD_EQ_REFL_'
0. 'coq/Coq_PArith_BinPos_Pos_add_carry_reg_l' 'hl/thm/realax/HREAL_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sub_le_mono_r' 'hl/thm/Library/integer/INT_DIVIDES_MUL_R_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lxor_eq_0_iff' 'hl/thm/realarith/REAL_SUB_0_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_pos'#@#variant 'hl/thm/real/REAL_LT_INV_EQ_'#@#variant
0. 'coq/Coq_ZArith_Znat_Zabs2Nat_inj_pred'#@#variant 'hl/thm/Multivariate/complexes/CX_SQRT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_lt_mono_nonneg'#@#variant 'hl/thm/real/REAL_LE_MUL2_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_le_refl' 'hl/thm/realax/HREAL_LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_le_compat_r' 'hl/thm/Library/prime/DIVIDES_EXP_'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_double'#@#variant 'hl/thm/Complex/complex_transc/CX_CSIN_'
0. 'coq/Coq_ZArith_Zorder_Zle_0_nat'#@#variant 'hl/thm/int/INT_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftl_mul_pow2'#@#variant 'hl/thm/real/REAL_SUB_RNEG_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_lt_mono_pos_l'#@#variant 'hl/thm/int/INT_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qlt_le_weak' 'hl/thm/arith/LT_IMP_LE_'
0. 'coq/Coq_Arith_PeanoNat_Nat_min_0_r' 'hl/thm/int/INT_MUL_RZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_le_mono' 'hl/thm/Library/transc/ATN_MONO_LT_'
0. 'coq/Coq_Reals_Cos_plus_cos_plus' 'hl/thm/Multivariate/transcendentals/COS_SUB_'
0. 'coq/Coq_QArith_Qcanon_Qcle_not_lt' 'hl/thm/arith/LET_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_pos'#@#variant 'hl/thm/Library/integer/INT_PRIME_ABS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_sub_l' 'hl/thm/real/REAL_MIN_MIN_/0'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_setbit_spec_prime'#@#variant 'hl/thm/Complex/complexnumbers/complex_sub_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_lt_mono_r_iff'#@#variant 'hl/thm/int/INT_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_shiftl_succ_r' 'hl/thm/arith/SUB_1'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_succ' 'hl/thm/Multivariate/complexes/IM_CNJ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_nonneg'#@#variant 'hl/thm/Library/analysis/REAL_LT_MUL2_ALT_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_max_id' 'hl/thm/int/INT_MIN_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_refl' 'hl/thm/int/INT_LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_reg_l' 'hl/thm/realax/HREAL_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_add_r' 'hl/thm/int/INT_MAX_MAX_/0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_lxor_l' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_pos'#@#variant 'hl/thm/Library/floor/INTEGER_NEG_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_le_mono_l' 'hl/thm/real/REAL_LE_LADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_1_l'#@#variant 'hl/thm/arith/MULT_CLAUSES_2'#@#variant
0. 'coq/Coq_Init_Peano_le_pred' 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_QArith_Qcanon_Qcnot_le_lt' 'hl/thm/realarith/REAL_LTE_TOTAL_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_inv_norm' 'hl/thm/Multivariate/vectors/SQRT_POS_LE_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_le_compat_l' 'hl/thm/realax/NADD_LE_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lxor_eq_0_iff' 'hl/thm/int/INT_SUB_0_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_max_r' 'hl/thm/int/INT_MAX_MAX_/1'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_ge' 'hl/thm/int/int_lt_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gt_lt_iff' 'hl/thm/realax/real_ge_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_succ_diag_r' 'hl/thm/int/INT_ABS_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_le_compat_r' 'hl/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lxor_nilpotent' 'hl/thm/arith/SUB_REFL_'#@#variant
0. 'coq/Coq_Reals_RIneq_succ_IZR' 'hl/thm/Library/analysis/REAL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_l' 'hl/thm/realax/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_lt_iff' 'hl/thm/int/INT_LE_MAX_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_lt_succ' 'hl/thm/Library/analysis/LESS_SUC_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_add_lt_sub_r' 'hl/thm/real/REAL_LE_SUB_LADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_nonneg'#@#variant 'hl/thm/Multivariate/vectors/SQRT_LT_0_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_min_le_compat_l' 'hl/thm/realax/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lxor_nilpotent' 'hl/thm/arith/SUB_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_divide_mono_r' 'hl/thm/Library/integer/INT_DIVIDES_MUL_R_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_le_compat_l' 'hl/thm/realax/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div2_neg' 'hl/thm/calc_num/ARITH_92'
0. 'coq/__constr_Coq_Init_Peano_le_0_1' 'hl/thm/Library/prime/DIVIDES_REFL_'
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_Zabs' 'hl/thm/Multivariate/transcendentals/CX_COS_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_shuffle3' 'hl/thm/Multivariate/complexes/COMPLEX_MUL_AC_2'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qplus_lt_r' 'hl/thm/int/INT_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_eq_mul_1'#@#variant 'hl/thm/arith/ADD_EQ_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_le_incl' 'hl/thm/realax/TREAL_EQ_IMP_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_irrefl' 'hl/thm/arith/LT_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lor_nonneg'#@#variant 'hl/thm/arith/ODD_MULT_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_succ' 'hl/thm/Multivariate/transcendentals/CX_COS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_le_compat_r' 'hl/thm/Library/prime/DIVIDES_MUL_R_'
0. 'coq/Coq_NArith_BinNat_N_add_sub' 'hl/thm/int/INT_SUB_ADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_pos_cancel_r'#@#variant 'hl/thm/Library/floor/INTEGER_SUB_EQ_1'
0. 'coq/Coq_ZArith_Znat_Z2Nat_inj_0' 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant
0. 'coq/Coq_Reals_Rfunctions_INR_fact_neq_0' 'hl/thm/Library/analysis/REAL_FACT_NZ_'#@#variant
0. 'coq/Coq_ZArith_Zdiv_Zdiv_le_upper_bound'#@#variant 'hl/thm/Library/analysis/REAL_LE_LDIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_max_l' 'hl/thm/real/REAL_MAX_MAX_/0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_diag' 'hl/thm/int/INT_MAX_ACI_3'
0. 'coq/Coq_NArith_BinNat_N_pred_le_mono' 'hl/thm/Library/transc/ATN_MONO_LT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lcm_0_r' 'hl/thm/int/INT_MUL_RZERO_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_lt_mono_l' 'hl/thm/int/INT_LE_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_pos'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_POS_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_clearbit_spec_prime'#@#variant 'hl/thm/Multivariate/complexes/complex_div_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_max_le_compat_r' 'hl/thm/Library/analysis/LESS_MONO_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_1_l'#@#variant 'hl/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_Reals_Rtrigo_reg_continuity_sin' 'hl/thm/Library/multiplicative/MULTIPLICATIVE_PHI_'
0. 'coq/Coq_ZArith_BinInt_Z_succ_inj_wd' 'hl/thm/real/REAL_EQ_INV2_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_ge_le_iff' 'hl/thm/realax/real_ge_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_le_mono_nonneg_l'#@#variant 'hl/thm/real/REAL_LE_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftr_opp_r' 'hl/thm/real/REAL_SUB_RNEG_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_gt' 'hl/thm/real/REAL_OF_NUM_GT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_glb_lt_iff' 'hl/thm/real/REAL_LT_MIN_'
0. 'coq/Coq_fourier_Fourier_util_Rlt_zero_pos_plus1'#@#variant 'hl/thm/Library/transc/SQRT_POS_LE_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_double'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_INV_'#@#variant
0. 'coq/Coq_ZArith_Zquot_Zquot_0_r' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RZERO_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_le_min_r' 'hl/thm/int/INT_MIN_MIN_/1'
0. 'coq/Coq_Reals_Ratan_atan_bound/1'#@#variant 'hl/thm/calc_num/ARITH_93'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_opp' 'hl/thm/Multivariate/transcendentals/CX_SIN_'#@#variant
0. 'coq/Coq_Bool_Bool_negb_prop_classical' 'hl/thm/int/INT_LE_NEGTOTAL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_pos_cancel_l'#@#variant 'hl/thm/Library/floor/INTEGER_SUB_EQ_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_simpl_r' 'hl/thm/int/INT_SUB_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_sub_r' 'hl/thm/Library/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Reals_Ratan_atan_opp' 'hl/thm/Multivariate/transcendentals/SIN_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_glb_lt' 'hl/thm/Library/integer/INT_DIVIDES_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_inj_wd' 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_NEG2_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_sqrt' 'hl/thm/Complex/complex_transc/CX_CEXP_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_lt_lin'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_LE_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_le_mono_r' 'hl/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_Zpos' 'hl/thm/realax/REAL_OF_NUM_LE_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_add' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_ADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_refl' 'hl/thm/Library/integer/INT_DIVIDES_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mod_0_l' 'hl/thm/arith/DIV_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_odd_1'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_pos'#@#variant 'hl/thm/Library/pocklington/PHI_LOWERBOUND_1_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_pos'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_POS_LT_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_pos'#@#variant 'hl/thm/Multivariate/vectors/SQRT_LE_0_'#@#variant
0. 'coq/Coq_Bool_Bool_negb_involutive_reverse' 'hl/thm/Multivariate/complexes/COMPLEX_INV_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_lcm_l' 'hl/thm/realax/HREAL_LE_ADD_'
0. 'coq/Coq_NArith_BinNat_N_land_diag' 'hl/thm/real/REAL_MAX_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_shuffle3' 'hl/thm/realax/HREAL_ADD_AC_2'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_factor_l' 'hl/thm/int/INT_MAX_MAX_/0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_rem_0_l' 'hl/thm/arith/DIV_0_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_odd_1'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_trichotomy' 'hl/thm/Library/analysis/LESS_LESS_CASES_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_add_lt_sub_r' 'hl/thm/int/INT_LE_SUB_RADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_le_lt_mono' 'hl/thm/int/INT_LET_ADD2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_land_m1_l'#@#variant 'hl/thm/int/INT_ADD_LID_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rmax_l' 'hl/thm/realax/NADD_LE_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_0_iff' 'hl/thm/calc_num/ARITH_52'
0. 'coq/Coq_Reals_Ratan_ps_atan_opp' 'hl/thm/Multivariate/transcendentals/CNJ_CEXP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_add_le_sub_r' 'hl/thm/int/INT_LE_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_le_incl' 'hl/thm/realarith/REAL_LT_IMP_LE_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_glb_lt_iff' 'hl/thm/real/REAL_LT_MIN_'
0. 'coq/Coq_ZArith_Zorder_Zle_0_nat'#@#variant 'hl/thm/Library/floor/RATIONAL_NUM_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_lt_lin'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_LE_X_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_land_m1_l'#@#variant 'hl/thm/arith/ADD_CLAUSES_0'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lt_asymm' 'hl/thm/int/INT_LT_GT_'
0. 'coq/Coq_QArith_Qreduction_Qred_opp' 'hl/thm/Multivariate/transcendentals/CNJ_CSIN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_lnot_diag'#@#variant 'hl/thm/calc_int/REAL_ADD_RINV_'#@#variant
0. 'coq/Coq_Reals_Rminmax_RHasMinMax_min_l' 'hl/thm/arith/MOD_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_lub_iff' 'hl/thm/int/INT_MAX_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_rem_opp_l_prime' 'hl/thm/arith/ADD_CLAUSES_2'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_eq_cases' 'hl/thm/int/INT_LE_LT_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_le_compat_r' 'hl/thm/Library/prime/DIVIDES_MUL_R_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_succ_l' 'hl/thm/Multivariate/transcendentals/RPOW_INV_'
0. 'coq/Coq_NArith_BinNat_N_le_refl' 'hl/thm/Library/poly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qplus_lt_l' 'hl/thm/arith/LT_ADD_RCANCEL_'
0. 'coq/Coq_ZArith_BinInt_Z_lor_lnot_diag'#@#variant 'hl/thm/int/INT_ADD_RINV_'#@#variant
0. 'coq/Coq_Arith_Minus_pred_of_minus'#@#variant 'hl/thm/arith/ADD1_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_max_lt_iff' 'hl/thm/real/REAL_LT_MAX_'
0. 'coq/Coq_Reals_RIneq_Rle_not_lt' 'hl/thm/arith/LTE_ANTISYM_'
0. 'coq/Coq_Reals_Ratan_atan_opp' 'hl/thm/Multivariate/transcendentals/CNJ_CEXP_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lor_0_l' 'hl/thm/int/INT_MUL_LID_'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_ge' 'hl/thm/real/REAL_OF_NUM_GT_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_lt_mono_r' 'hl/thm/arith/LT_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_pow2'#@#variant 'hl/thm/Multivariate/transcendentals/EXP_LOG_'#@#variant
0. 'coq/Coq_ZArith_Znat_Zabs2N_inj_0' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_shuffle3' 'hl/thm/int/INT_MAX_ACI_2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_0_r' 'hl/thm/arith/MULT_0_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_divide_mono_l' 'hl/thm/realax/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_double_size_level' 'hl/thm/Complex/complexnumbers/CX_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_le_compat_l' 'hl/thm/realax/REAL_LE_LADD_IMP_'
0. 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_lt_not_eq' 'hl/thm/int/INT_LT_IMP_NE_'
0. 'coq/Coq_ZArith_BinInt_Z_divide_lcm_l' 'hl/thm/realax/HREAL_LE_ADD_'
0. 'coq/Coq_ZArith_Zlogarithm_log_near_correct1'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_POS_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_lt_mono_r' 'hl/thm/arith/LT_ADD_RCANCEL_'
0. 'coq/Coq_Reals_RIneq_Rplus_lt_reg_l' 'hl/thm/realax/NADD_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_le_mono' 'hl/thm/arith/FACT_MONO_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_pos'#@#variant 'hl/thm/int/INT_SGN_INEQS_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_lt_iff' 'hl/thm/int/INT_MIN_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_le_mono_pos_l'#@#variant 'hl/thm/real/REAL_LE_LMUL_EQ_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_eq_cases' 'hl/thm/realarith/REAL_LE_LT_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_lt_iff' 'hl/thm/real/REAL_LE_MAX_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_pos_cancel_r'#@#variant 'hl/thm/Library/floor/INTEGER_SUB_EQ_1'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_shuffle3' 'hl/thm/real/REAL_MUL_AC_2'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_sub_lt_add_r' 'hl/thm/real/REAL_LT_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_add_lt_sub_r' 'hl/thm/real/REAL_LE_SUB_RADD_'
0. 'coq/Coq_QArith_QArith_base_Qmult_le_compat_r'#@#variant 'hl/thm/Library/analysis/REAL_LE_RMUL_IMP_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_simpl_r' 'hl/thm/arith/ADD_SUB_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_lt_mono_pos_l'#@#variant 'hl/thm/real/REAL_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_clearbit_spec_prime'#@#variant 'hl/thm/realax/real_div_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_lt_add_l' 'hl/thm/Library/integer/INT_DIVIDES_LMUL_'
0. 'coq/Coq_Arith_Minus_minus_diag_reverse' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_REFL_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_le_mono' 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_rem_idemp_l' 'hl/thm/arith/MOD_MULT_LMOD_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_even_2'#@#variant 'hl/thm/Multivariate/complexes/IM_II_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pow_le_mono_r_iff'#@#variant 'hl/thm/int/INT_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_Reals_Rfunctions_powerRZ_R1' 'hl/thm/int/INT_POW_ONE_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_neg_iff'#@#variant 'hl/thm/int/INT_SGN_EQ_2'#@#variant
0. 'coq/Coq_Reals_RIneq_Rnot_ge_gt' 'hl/thm/realarith/REAL_LTE_TOTAL_'
0. 'coq/Coq_setoid_ring_RealField_Rdef_pow_add' 'hl/thm/Complex/complexnumbers/COMPLEX_POW_ADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_cancel_l' 'hl/thm/arith/EQ_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_pred_l' 'hl/thm/Multivariate/transcendentals/RPOW_INV_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_lt_mono_l' 'hl/thm/real/REAL_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_ldiff_diag' 'hl/thm/arith/SUB_REFL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_le_iff' 'hl/thm/int/INT_LT_MAX_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_ngt' 'hl/thm/arith/NOT_LT_'
0. 'coq/Coq_PArith_BinPos_Pos_min_le_iff' 'hl/thm/int/INT_MIN_LE_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_lub_iff' 'hl/thm/int/INT_MAX_LE_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_add_r' 'hl/thm/realax/NADD_LE_ADD_'
0. 'coq/Coq_Init_Peano_le_pred' 'hl/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_le_mono' 'hl/thm/Library/floor/FLOOR_MONO_'
0. 'coq/Coq_ZArith_BinInt_Z_lxor_m1_l'#@#variant 'hl/thm/realarith/REAL_POLY_NEG_CLAUSES_0'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_land_m1_l'#@#variant 'hl/thm/realax/REAL_MUL_LID_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_shuffle3' 'hl/thm/calc_int/REAL_ADD_AC_2'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_id' 'hl/thm/real/REAL_MAX_ACI_3'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_pos' 'hl/thm/int/INT_SGN_INEQS_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_rem_opp_opp' 'hl/thm/Library/analysis/ABS_DIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_nlt_ge' 'hl/thm/arith/NOT_LT_'
0. 'coq/Coq_ZArith_BinInt_Z_succ_inj_wd' 'hl/thm/nums/SUC_INJ_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_iff' 'hl/thm/int/INT_OF_NUM_EQ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_mul_r' 'hl/thm/Library/prime/DIVIDES_LMUL_'
0. 'coq/Coq_Arith_Plus_plus_le_lt_compat' 'hl/thm/real/REAL_LET_ADD2_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lcm_divide_iff' 'hl/thm/int/INT_MAX_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_pos' 'hl/thm/int/INT_SGN_INEQS_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_lt_mono_r_iff'#@#variant 'hl/thm/real/REAL_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_pos'#@#variant 'hl/thm/Library/floor/RATIONAL_INV_EQ_'
0. 'coq/Coq_PArith_BinPos_Pos_max_1_l' 'hl/thm/int/INT_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_glb_lt_iff' 'hl/thm/real/REAL_LT_MIN_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_nge' 'hl/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_add_lt_sub_r' 'hl/thm/real/REAL_LT_ADD_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_pos'#@#variant 'hl/thm/Library/pocklington/PHI_LOWERBOUND_1_'#@#variant
0. 'coq/Coq_ZArith_Zpow_facts_Zpower_gt_1'#@#variant 'hl/thm/realarith/REAL_LTE_ADD_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rlt_le_trans' 'hl/thm/arith/LTE_TRANS_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_refl' 'hl/thm/Multivariate/misc/GE_REFL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_nle_gt' 'hl/thm/Library/analysis/real_le_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_trichotomy' 'hl/thm/int/INT_LT_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_le_mono' 'hl/thm/Library/transc/ATN_MONO_LT_'
0. 'coq/Coq_ZArith_BinInt_Z_sgn_nonneg'#@#variant 'hl/thm/calc_num/ARITH_44'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_add_lt_sub_r' 'hl/thm/real/REAL_LE_SUB_RADD_'
0. 'coq/Coq_ZArith_Zeven_Zeven_Sn' 'hl/thm/Library/pocklington/PHI_LOWERBOUND_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_divide_iff' 'hl/thm/int/INT_LE_MIN_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_le_compat_r' 'hl/thm/arith/EXP_MONO_LE_IMP_'
0. 'coq/Coq_Reals_R_sqrt_sqrt_Rsqr'#@#variant 'hl/thm/Library/transc/EXP_LN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_square_nonneg'#@#variant 'hl/thm/int/INT_LE_SQUARE_'#@#variant
0. 'coq/Coq_Reals_RIneq_Req_ge' 'hl/thm/int/INT_EQ_IMP_LE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_eq_mul_0' 'hl/thm/real/REAL_DIV_EQ_0_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sgn_opp' 'hl/thm/int/INT_ABS_SGN_'
0. 'coq/Coq_ZArith_BinInt_Z_ldiff_m1_l'#@#variant 'hl/thm/int/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_log2_le_lin'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div2_nonneg'#@#variant 'hl/thm/real/REAL_LE_INV_EQ_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_abs_pow' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_refl' 'hl/thm/realax/TREAL_EQ_REFL_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_divide_lcm_r' 'hl/thm/arith/LE_ADDR_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_cancel_l' 'hl/thm/arith/EQ_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_succ_l' 'hl/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_le_mono_r' 'hl/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_ZArith_BinInt_Z_sgn_nonneg'#@#variant 'hl/thm/Library/integer/INT_PRIME_ABS_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sub_le_mono_r' 'hl/thm/arith/EXP_MONO_LE_IMP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_trichotomy' 'hl/thm/Library/prime/LESS_LESS_CASES_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_inj_wd' 'hl/thm/Library/prime/CANCEL_TIMES2_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rlt_not_le' 'hl/thm/int/INT_LET_ANTISYM_'
0. 'coq/Coq_ZArith_Zsqrt_compat_Zsqrt_plain_is_pos'#@#variant 'hl/thm/real/REAL_LT_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_pos'#@#variant 'hl/thm/Library/floor/RATIONAL_NEG_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_le_compat_r' 'hl/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lnot_lxor_r' 'hl/thm/int/INT_NEG_RMUL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_square_spec' 'hl/thm/real/REAL_MUL_2_'#@#variant
0. 'coq/Coq_Bool_Bool_andb_true_l' 'hl/thm/realax/REAL_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_divide_cancel_l' 'hl/thm/Library/prime/DIVIDES_LMUL2_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_shuffle3' 'hl/thm/int/INT_ADD_AC_2'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_le_mono_l' 'hl/thm/Library/prime/LESS_MONO_ADD_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_div2' 'hl/thm/Multivariate/complexes/IM_CNJ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sub_succ' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_MUL2_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_pos'#@#variant 'hl/thm/Library/integer/INT_PRIME_NEG_'
0. 'coq/Coq_Reals_Rminmax_R_OT_lt_total' 'hl/thm/Library/analysis/LESS_LESS_CASES_'
0. 'coq/Coq_Reals_Rbasic_fun_Rle_min_compat_l' 'hl/thm/realax/TREAL_LE_LADD_IMP_'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tplus_comm_stable' 'hl/thm/Library/multiplicative/MULTIPLICATIVE_PHI_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_land_0_r' 'hl/thm/Library/prime/INDEX_0_'#@#variant
0. 'coq/Coq_Reals_SeqProp_UL_sequence' 'hl/thm/Library/analysis/SEQ_UNIQ_'
0. 'coq/Coq_ZArith_Zlogarithm_log_near_correct1'#@#variant 'hl/thm/real/REAL_LE_POW2_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_lt_mono_pos_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LE_EQ_'#@#variant
0. 'coq/Coq_Strings_Ascii_ascii_N_embedding' 'hl/thm/Multivariate/vectors/LIFT_DROP_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lcm_1_r' 'hl/thm/arith/ADD_0_'
0. 'coq/Coq_ZArith_Znat_Zabs2N_id' 'hl/thm/Multivariate/vectors/LIFT_DROP_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_irrefl' 'hl/thm/realarith/REAL_LT_REFL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_mod_idemp_r' 'hl/thm/arith/MOD_MULT_RMOD_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_lt_mono_r_iff'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LE_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_setbit_spec_prime'#@#variant 'hl/thm/Complex/complexnumbers/complex_div_'
0. 'coq/Coq_Reals_RIneq_Rminus_0_l' 'hl/thm/realarith/REAL_POLY_NEG_CLAUSES_0'#@#variant
0. 'coq/Coq_Reals_RIneq_Rplus_lt_compat_r' 'hl/thm/realax/NADD_LE_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_pos'#@#variant 'hl/thm/Library/floor/RATIONAL_INV_EQ_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_lt_mono_r' 'hl/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_clearbit_spec_prime'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_RNEG_'
0. 'coq/Coq_ZArith_BinInt_Z_lcm_0_r' 'hl/thm/arith/MULT_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_id' 'hl/thm/real/REAL_MAX_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_r' 'hl/thm/Library/prime/DIVIDES_EXP_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_le_mono_nonneg_l'#@#variant 'hl/thm/int/INT_LE_LMUL_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_opp_max_distr' 'hl/thm/Library/transc/REAL_EXP_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_nonneg'#@#variant 'hl/thm/int/INT_NEG_GT0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_land_0_r' 'hl/thm/calc_int/REAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_land_diag' 'hl/thm/int/INT_MIN_ACI_3'
0. 'coq/Coq_Reals_Rtrigo1_sin_ge_0'#@#variant 'hl/thm/Library/transc/TAN_POS_PI2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_sub' 'hl/thm/int/INT_SUB_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_shuffle3' 'hl/thm/arith/MULT_AC_2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_pred_l' 'hl/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_NArith_BinNat_N_ge_le_iff' 'hl/thm/arith/GE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_pos'#@#variant 'hl/thm/Library/transc/LN_POS_LT_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_shuffle3' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_AC_2'
0. 'coq/Coq_PArith_BinPos_Pos_add_diag' 'hl/thm/real/REAL_MUL_2_'#@#variant
0. 'coq/Coq_FSets_FSetPositive_PositiveSet_is_empty_spec' 'hl/thm/Multivariate/complexes/real_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_nonneg'#@#variant 'hl/thm/Library/analysis/REAL_LE_MUL2V_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_le_compat_l' 'hl/thm/int/INT_LE_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lor_0_l' 'hl/thm/realax/HREAL_ADD_LID_'#@#variant
0. 'coq/Coq_Reals_R_sqr_Rsqr_incr_0'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_MONO_LE_REV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_1_r'#@#variant 'hl/thm/arith/MULT_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_id' 'hl/thm/real/REAL_MIN_ACI_3'
0. 'coq/Coq_Arith_Plus_plus_le_compat_r' 'hl/thm/Library/integer/INT_DIVIDES_MUL_R_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_pos'#@#variant 'hl/thm/Library/pocklington/PHI_LOWERBOUND_1_'#@#variant
0. 'coq/Coq_ZArith_Znat_Z2N_inj_div2' 'hl/thm/Complex/complexnumbers/CX_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gt_lt_iff' 'hl/thm/arith/GE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_rem_1_r'#@#variant 'hl/thm/Library/prime/INDEX_1_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lcm_1_l'#@#variant 'hl/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zeq_plus_swap' 'hl/thm/int/INT_EQ_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_0_iff' 'hl/thm/calc_num/ARITH_50'
0. 'coq/Coq_Reals_Rfunctions_pow_add' 'hl/thm/int/INT_POW_ADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_le_compat_l' 'hl/thm/int/INT_LE_LADD_IMP_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_le_mono' 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Reals_RIneq_Rgt_asym' 'hl/thm/int/INT_LT_ANTISYM_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_factor_r' 'hl/thm/real/REAL_MAX_MAX_/1'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_le_lin'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_LE_X_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_sub_r' 'hl/thm/Complex/cpoly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_even_0' 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tred_factor6_stable' 'hl/thm/Library/multiplicative/MULTIPLICATIVE_PHI_'
0. 'coq/Coq_Reals_RIneq_Rnot_le_lt' 'hl/thm/arith/LTE_CASES_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_le_mono_r' 'hl/thm/realax/HREAL_LE_ADD_RCANCEL_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_gt' 'hl/thm/int/INT_OF_NUM_GE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_id' 'hl/thm/int/INT_MIN_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_nlt' 'hl/thm/arith/NOT_LE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_mod_idemp_l' 'hl/thm/arith/MOD_EXP_MOD_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_le_mono_r_iff'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LT_EQ_'#@#variant
0. 'coq/Coq_QArith_Qminmax_Q_max_lub_iff' 'hl/thm/int/INT_MAX_LT_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_pos'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_POS_LE_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_lt_add_r' 'hl/thm/int/INT_MAX_MAX_/0'
0. 'coq/Coq_Reals_ROrderedType_ROrder_lt_le_trans' 'hl/thm/arith/LTE_TRANS_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_pred_succ' 'hl/thm/Library/transc/ATN_/2'
0. 'coq/Coq_Init_Peano_plus_n_Sm' 'hl/thm/int/INT_MUL_RNEG_'
0. 'coq/Coq_NArith_BinNat_N_min_glb_iff' 'hl/thm/int/INT_LT_MIN_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftl_mul_pow2'#@#variant 'hl/thm/realax/real_div_'
0. 'coq/Coq_NArith_BinNat_N_min_glb_lt_iff' 'hl/thm/real/REAL_LT_MIN_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_divide_lcm_l' 'hl/thm/realax/HREAL_LE_ADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_r' 'hl/thm/realax/HREAL_LE_MUL_RCANCEL_IMP_'
0. 'coq/Coq_ZArith_Znat_Zabs2Nat_inj_neg' 'hl/thm/int/int_of_num_th_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_refl' 'hl/thm/realax/REAL_LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_pos'#@#variant 'hl/thm/Library/floor/RATIONAL_NEG_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_add_le' 'hl/thm/real/REAL_ABS_TRIANGLE_'
0. 'coq/Coq_ZArith_BinInt_Z_pred_inj_wd' 'hl/thm/nums/IND_SUC_INJ_'
0. 'coq/Coq_ZArith_Zorder_Zsucc_lt_compat' 'hl/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_divide_cancel_r' 'hl/thm/Library/prime/DIVIDES_EXP2_EQ_'#@#variant
0. 'coq/Coq_QArith_QOrderedType_QOrder_eq_refl' 'hl/thm/arith/LE_REFL_'
0. 'coq/Coq_PArith_BinPos_Pos_add_cancel_l' 'hl/thm/int/INT_EQ_ADD_LCANCEL_'
0. 'coq/Coq_Reals_Rminmax_R_opp_max_distr' 'hl/thm/Library/transc/REAL_EXP_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_0_l' 'hl/thm/arith/DIV_0_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_2' 'hl/thm/calc_int/REAL_NEG_0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_pos_cancel_r'#@#variant 'hl/thm/int/INT_LT_MUL_EQ_1'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_succ_l' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_simpl_r' 'hl/thm/int/INT_SUB_ADD_'
0. 'coq/Coq_PArith_BinPos_Pos_min_le_compat_r' 'hl/thm/realax/NADD_LE_RMUL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_id' 'hl/thm/int/INT_MAX_ACI_3'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_square_nonneg'#@#variant 'hl/thm/int/INT_LE_SQUARE_'#@#variant
0. 'coq/Coq_ZArith_Znat_Zabs2Nat_id' 'hl/thm/Library/floor/INT_OF_REAL_OF_INT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ldiff_land' 'hl/thm/real/REAL_SUB_RNEG_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_even_1'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_inj_wd' 'hl/thm/calc_num/ARITH_54'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_lcm_l' 'hl/thm/realax/HREAL_LE_ADD_'
0. 'coq/Coq_ZArith_BinInt_Z_divide_lcm_l' 'hl/thm/arith/LE_ADD_'
0. 'coq/Coq_Reals_RIneq_Rle_lt_trans' 'hl/thm/int/INT_LET_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_pos'#@#variant 'hl/thm/Library/transc/ATN_POS_LE_'#@#variant
0. 'coq/Coq_Arith_Plus_plus_le_reg_l' 'hl/thm/realax/NADD_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_pow' 'hl/thm/calc_int/REAL_MUL_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_succ_l' 'hl/thm/Multivariate/transcendentals/REAL_ABS_RPOW_'
0. 'coq/Coq_Reals_RList_RList_P1' 'hl/thm/int/INT_POW_LT_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_abs_le' 'hl/thm/real/REAL_BOUNDS_LT_'
0. 'coq/Coq_NArith_BinNat_N_ones_equiv'#@#variant 'hl/thm/calc_num/ARITH_4'
0. 'coq/Coq_PArith_BinPos_Pos_add_succ_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_lt_mono'#@#variant 'hl/thm/real/REAL_LE_MUL2_'#@#variant
0. 'coq/__constr_Coq_Init_Peano_le_0_2' 'hl/thm/Library/analysis/LESS_SUC_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_1_l' 'hl/thm/int/INT_MUL_LID_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_neg_is_nonpos' 'hl/thm/Multivariate/transcendentals/ARG_/1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_divide_mono_r' 'hl/thm/Library/prime/LESS_MONO_ADD_'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_div2' 'hl/thm/Complex/complexnumbers/CX_INV_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_eq_0_iff' 'hl/thm/arith/EXP_EQ_0_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lcm_1_l'#@#variant 'hl/thm/int/INT_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_sub_triangle' 'hl/thm/real/REAL_SUB_ABS_'
0. 'coq/Coq_Arith_PeanoNat_Nat_setbit_spec_prime'#@#variant 'hl/thm/realax/real_div_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_ge' 'hl/thm/int/INT_OF_NUM_GE_'
0. 'coq/Coq_Reals_RIneq_Rle_or_lt' 'hl/thm/realarith/REAL_LET_TOTAL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftl_shiftl' 'hl/thm/Library/prime/EXP_EXP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pred_le_mono' 'hl/thm/Library/transc/ATN_MONO_LT_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_lt_m1_0'#@#variant 'hl/thm/Multivariate/transcendentals/PI2_BOUNDS_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_le_compat_l' 'hl/thm/realax/TREAL_LE_LADD_IMP_'#@#variant
0. 'coq/Coq_QArith_QOrderedType_QOrder_not_ge_lt' 'hl/thm/int/INT_LET_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_nonneg_l'#@#variant 'hl/thm/int/INT_LE_LMUL_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_min_le_compat_r' 'hl/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_eq_mul_0' 'hl/thm/realarith/REAL_ENTIRE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_succ_r' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pos_pred_succ' 'hl/thm/Multivariate/vectors/LIFT_DROP_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_pred' 'hl/thm/Multivariate/transcendentals/REAL_EXP_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_lt_mono_l' 'hl/thm/realax/HREAL_LE_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_lub_iff' 'hl/thm/int/INT_MAX_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lnot_0_l' 'hl/thm/realarith/REAL_POLY_NEG_CLAUSES_0'#@#variant
0. 'coq/Coq_Reals_Ratan_atan_increasing' 'hl/thm/arith/FACT_MONO_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_le_mono_r_iff'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LE_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_wf_0' 'hl/thm/Library/analysis/DORDER_NGE_'
0. 'coq/Coq_ZArith_BinInt_Z_eq_mul_0' 'hl/thm/real/REAL_DIV_EQ_0_'#@#variant
0. 'coq/Coq_Arith_Lt_lt_n_S' 'hl/thm/Library/floor/FLOOR_MONO_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sub_le_mono_r' 'hl/thm/Library/integer/INT_DIVIDES_MUL_R_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_add' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mod_1_r'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_0_'#@#variant
0. 'coq/Coq_Reals_Ratan_atan_opp' 'hl/thm/Multivariate/transcendentals/CNJ_CCOS_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_min_distr' 'hl/thm/Multivariate/transcendentals/REAL_EXP_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_move_0_r' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_mul_0'#@#variant 'hl/thm/Library/calc_real/REAL_OPPSIGN_LEMMA_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rplus_ge_compat_l' 'hl/thm/realax/NADD_MUL_WELLDEF_LEMMA_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_lt_mono_l' 'hl/thm/real/REAL_LE_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_opp_diag_l' 'hl/thm/int/INT_ADD_LINV_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_rem_opp_l_prime' 'hl/thm/Multivariate/transcendentals/REAL_INV_RPOW_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_max_l' 'hl/thm/arith/LE_ADD_'
0. 'coq/Coq_Reals_Exp_prop_exp_pos_pos'#@#variant 'hl/thm/Library/floor/INTEGER_CLOSED_5'
0. 'coq/Coq_Reals_RIneq_Rmult_le_reg_l'#@#variant 'hl/thm/real/REAL_LT_LCANCEL_IMP_'#@#variant
0. 'coq/Coq_QArith_QOrderedType_QOrder_lt_eq' 'hl/thm/arith/LTE_TRANS_'
0. 'coq/Coq_fourier_Fourier_util_Rlt_zero_pos_plus1'#@#variant 'hl/thm/Library/floor/RATIONAL_ABS_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_pos_nonneg'#@#variant 'hl/thm/int/INT_LTE_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_null_iff' 'hl/thm/calc_num/ARITH_52'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_succ_diag_r' 'hl/thm/real/REAL_ABS_LE_'
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_pos_r'#@#variant 'hl/thm/real/REAL_LE_RMUL_EQ_'#@#variant
0. 'coq/Coq_Bool_Bool_orb_true_iff' 'hl/thm/Complex/complexnumbers/COMPLEX_ENTIRE_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_sub_le_add_r' 'hl/thm/real/REAL_LE_SUB_RADD_'
0. 'coq/Coq_Reals_RIneq_Rplus_opp_r_uniq' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RINV_UNIQ_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_sgn' 'hl/thm/int/INT_SGN_INT_SGN_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_lub_l' 'hl/thm/Library/prime/DIVIDES_RMUL2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_even_opp' 'hl/thm/Multivariate/complexes/RE_CNJ_'#@#variant
0. 'coq/Coq_NArith_Ndist_ni_le_total' 'hl/thm/realax/NADD_LE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lcm_0_r' 'hl/thm/calc_int/REAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_divide_cancel_l' 'hl/thm/Library/prime/DIVIDES_LMUL2_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_odd_1'#@#variant 'hl/thm/Multivariate/complexes/RE_II_'#@#variant
0. 'coq/Coq_QArith_QArith_base_inject_Z_opp' 'hl/thm/Complex/complex_transc/CX_CSIN_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_opp_diag_r' 'hl/thm/calc_int/REAL_ADD_RINV_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_pred_r' 'hl/thm/int/INT_NEG_RMUL_'
0. 'coq/Coq_Reals_R_sqrt_sqrt_le_1_alt' 'hl/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_le_compat_r' 'hl/thm/Library/prime/DIVIDES_EXP_'
0. 'coq/Coq_NArith_BinNat_N_le_sqrt_sqrt_up' 'hl/thm/Multivariate/transcendentals/REAL_EXP_LE_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_le_compat_r' 'hl/thm/realax/HREAL_LE_MUL_RCANCEL_IMP_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_pos'#@#variant 'hl/thm/Multivariate/vectors/SQRT_LT_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_lt_mono_pos_l'#@#variant 'hl/thm/Library/analysis/REAL_LE_LMUL_LOCAL_'#@#variant
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_div2' 'hl/thm/Multivariate/transcendentals/CX_ATN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_ge_cases' 'hl/thm/realax/NADD_LE_TOTAL_'
0. 'coq/Coq_ZArith_Znat_Z2N_inj_div2' 'hl/thm/Multivariate/transcendentals/CX_COS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lor_0_l' 'hl/thm/int/INT_MUL_LID_'#@#variant
0. 'coq/Coq_ZArith_Znat_Z2Nat_inj_pred' 'hl/thm/Complex/complex_transc/CX_CSIN_'
0. 'coq/Coq_Bool_Bool_orb_diag' 'hl/thm/real/REAL_MAX_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_lor' 'hl/thm/Library/transc/REAL_EXP_SUB_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_pos'#@#variant 'hl/thm/calc_num/ARITH_40'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div_same'#@#variant 'hl/thm/real/REAL_DIV_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_id' 'hl/thm/real/REAL_MAX_ACI_3'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_refl' 'hl/thm/int/INT_LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_nlt_ge' 'hl/thm/arith/NOT_LT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_pred_l' 'hl/thm/Multivariate/transcendentals/RPOW_INV_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_cancel_l' 'hl/thm/Library/analysis/REAL_EQ_LMUL2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div2_double' 'hl/thm/Multivariate/transcendentals/ATN_TAN_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_shuffle3' 'hl/thm/int/INT_ADD_AC_2'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_le_mono' 'hl/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_log2_log2_up' 'hl/thm/Multivariate/transcendentals/REAL_EXP_LE_X_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_max_lub_lt_iff' 'hl/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lxor_eq_0_iff' 'hl/thm/int/INT_SUB_0_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_id' 'hl/thm/Complex/complexnumbers/complex_tybij_raw_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_sub_lt_add_r' 'hl/thm/int/INT_LE_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_1_r' 'hl/thm/Library/prime/INDEX_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_lt_mono_r' 'hl/thm/realax/HREAL_LE_ADD_RCANCEL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gt_lt_iff' 'hl/thm/arith/GT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_lt_iff' 'hl/thm/int/INT_LE_MAX_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_square_nonneg'#@#variant 'hl/thm/realarith/REAL_LE_SQUARE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_eq_mul_1'#@#variant 'hl/thm/arith/ADD_EQ_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_1_l'#@#variant 'hl/thm/arith/LE_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div2_nonneg'#@#variant 'hl/thm/real/REAL_SGN_INEQS_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lcm_1_l'#@#variant 'hl/thm/arith/MULT_CLAUSES_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_sgn' 'hl/thm/int/INT_SGN_INT_SGN_'
0. 'coq/Coq_QArith_Qcanon_Qclt_le_weak' 'hl/thm/realax/NADD_EQ_IMP_LE_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_add_lt_sub_r' 'hl/thm/real/REAL_LT_SUB_RADD_'
0. 'coq/Coq_Reals_ROrderedType_ROrder_lt_le_trans' 'hl/thm/int/INT_LTE_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lxor_0_l' 'hl/thm/arith/ADD_CLAUSES_0'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_le_lin'#@#variant 'hl/thm/Library/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_pos'#@#variant 'hl/thm/Library/pratt/PHI_LOWERBOUND_1_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_sin_pos_tech'#@#variant 'hl/thm/Library/transc/SIN_POS_PI_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_mod_idemp_r' 'hl/thm/arith/MOD_MULT_RMOD_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_ge_le_iff' 'hl/thm/int/INT_GE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_abs' 'hl/thm/Library/floor/FRAC_FLOOR_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_nonneg_r'#@#variant 'hl/thm/Library/analysis/REAL_LE_RMUL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_shuffle3' 'hl/thm/int/INT_ADD_AC_2'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftl_mul_pow2'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_RNEG_'
0. 'coq/Coq_QArith_QArith_base_Qplus_lt_l' 'hl/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_nge' 'hl/thm/arith/NOT_LE_'
0. 'coq/Coq_Reals_RIneq_Rle_refl' 'hl/thm/realax/REAL_LE_REFL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_pred' 'hl/thm/Library/transc/LN_EXP_'
0. 'coq/Coq_Bool_Bool_xorb_true_l' 'hl/thm/int/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_trichotomy' 'hl/thm/int/INT_LT_TOTAL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_cancel_l' 'hl/thm/realax/NADD_LE_LADD_'
0. 'coq/Coq_Reals_Rpower_arcsinh_lt' 'hl/thm/Library/transc/ATN_MONO_LT_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_1'#@#variant 'hl/thm/Multivariate/complexes/RE_II_'#@#variant
0. 'coq/Coq_Arith_Plus_le_plus_r' 'hl/thm/int/INT_MAX_MAX_/1'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_lt_iff' 'hl/thm/real/REAL_MIN_LT_'
0. 'coq/Coq_Arith_Plus_plus_lt_compat_l' 'hl/thm/realax/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lcm_divide_iff' 'hl/thm/int/INT_MAX_LT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_pred_l' 'hl/thm/int/INT_MUL_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_le_mono_r_iff'#@#variant 'hl/thm/int/INT_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_even_0' 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_le_compat_l' 'hl/thm/realax/NADD_LE_LMUL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_cancel_l' 'hl/thm/calc_int/REAL_EQ_ADD_LCANCEL_'
0. 'coq/Coq_ZArith_Zdiv_Zmod_1_r'#@#variant 'hl/thm/arith/MOD_1_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_pos' 'hl/thm/real/REAL_SGN_INEQS_3'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_le_incl' 'hl/thm/int/INT_LT_IMP_LE_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_even' 'hl/thm/int/int_of_num_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_divide_mono_r' 'hl/thm/realax/HREAL_LE_MUL_RCANCEL_IMP_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_pred_l' 'hl/thm/calc_int/REAL_MUL_LNEG_'
0. 'coq/Coq_NArith_BinNat_N_le_max_l' 'hl/thm/realax/NADD_LE_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_refl' 'hl/thm/realax/NADD_EQ_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_rem_opp_l_prime' 'hl/thm/int/INT_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_odd_sub' 'hl/thm/real/REAL_OF_NUM_SUB_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_digits/0'#@#variant 'hl/thm/real/REAL_LT_POW2_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_le_compat_r' 'hl/thm/realax/HREAL_LE_MUL_RCANCEL_IMP_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_lt_iff' 'hl/thm/int/INT_MIN_LE_'
0. 'coq/Coq_ZArith_BinInt_Z_gcd_0_l' 'hl/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rmult_le_compat_r'#@#variant 'hl/thm/real/REAL_LT_RMUL_'#@#variant
0. 'coq/Coq_ZArith_Znat_Z2N_inj_quot2' 'hl/thm/Multivariate/transcendentals/CX_TAN_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zplus_gt_compat_l' 'hl/thm/Library/integer/INT_DIVIDES_MUL_L_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_shuffle3' 'hl/thm/arith/MULT_AC_2'
0. 'coq/Coq_Arith_PeanoNat_Nat_lcm_1_l'#@#variant 'hl/thm/realax/HREAL_ADD_LID_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_double_add' 'hl/thm/calc_num/ARITH_17'
0. 'coq/Coq_NArith_BinNat_N_lcm_eq_0' 'hl/thm/Complex/complexnumbers/COMPLEX_ENTIRE_'#@#variant
0. 'coq/Coq_Reals_R_sqrt_sqrt_positivity'#@#variant 'hl/thm/real/REAL_LE_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_nlt' 'hl/thm/realarith/REAL_NOT_LT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_pos'#@#variant 'hl/thm/Library/transc/REAL_EXP_LT_1_'#@#variant
0. 'coq/Coq_Reals_Rpower_exp_increasing' 'hl/thm/Library/transc/ATN_MONO_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pred_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LT_'
0. 'coq/Coq_Reals_RIneq_Rplus_ne/1' 'hl/thm/realax/REAL_ADD_LID_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sub_lt_mono_r' 'hl/thm/int/INT_LE_RADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_shuffle3' 'hl/thm/real/REAL_MAX_ACI_2'
0. 'coq/Coq_ZArith_BinInt_Z_sgn_sgn' 'hl/thm/real/REAL_ABS_ABS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_inj_wd' 'hl/thm/int/INT_EQ_NEG2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lor_lnot_diag'#@#variant 'hl/thm/int/INT_ADD_RINV_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_pos_cancel_l'#@#variant 'hl/thm/int/INT_LT_MUL_EQ_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_odd_2'#@#variant 'hl/thm/Multivariate/complexes/RE_II_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_ge_le_iff' 'hl/thm/realax/real_gt_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_succ_r' 'hl/thm/calc_int/REAL_MUL_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_0_l' 'hl/thm/realax/REAL_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_neq_succ_0' 'hl/thm/Complex/complex_transc/CEXP_NONZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_le_mono' 'hl/thm/arith/FACT_MONO_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_pred_l' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_LMUL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_inj_wd' 'hl/thm/Multivariate/transcendentals/REAL_EXP_INJ_'
0. 'coq/Coq_ZArith_BinInt_Z_clearbit_spec_prime'#@#variant 'hl/thm/Multivariate/complexes/complex_div_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_lt_iff' 'hl/thm/int/INT_LE_MAX_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftr_div_pow2'#@#variant 'hl/thm/Multivariate/complexes/complex_div_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_sqrt' 'hl/thm/Complex/complexnumbers/CX_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_succ_pred_or' 'hl/thm/Complex/complex_transc/CEXP_CLOG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_le_mono' 'hl/thm/realax/NADD_INV_WELLDEF_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_succ_l' 'hl/thm/Multivariate/transcendentals/RPOW_INV_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_pos'#@#variant 'hl/thm/Library/transc/LN_POS_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_id' 'hl/thm/real/REAL_MIN_ACI_3'
0. 'coq/Coq_Reals_Rminmax_R_min_le_iff' 'hl/thm/int/INT_MIN_LT_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_neg_iff' 'hl/thm/int/int_eq_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_shuffle3' 'hl/thm/real/REAL_MUL_AC_2'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_pos'#@#variant 'hl/thm/Library/integer/INT_PRIME_NEG_'
0. 'coq/Coq_Reals_Rtrigo_calc_sqrt2_neq_0'#@#variant 'hl/thm/Multivariate/transcendentals/PI_NZ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_1_mul_pos'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_LT_1_'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_sub' 'hl/thm/real/REAL_OF_NUM_SUB_'
0. 'coq/Coq_NArith_BinNat_N_nlt_ge' 'hl/thm/arith/NOT_LE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_opp' 'hl/thm/Multivariate/transcendentals/CNJ_CCOS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_pred_le' 'hl/thm/Library/analysis/OR_LESS_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_le_lin'#@#variant 'hl/thm/Library/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_lub_r' 'hl/thm/Library/prime/DIVIDES_LMUL2_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lor_0_l' 'hl/thm/realax/REAL_ADD_LID_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Zplus_diag_eq_mult_2'#@#variant 'hl/thm/arith/EXP_2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ge_le_iff' 'hl/thm/int/INT_GE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_2' 'hl/thm/Library/transc/SQRT_0_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_le_mono_l' 'hl/thm/real/REAL_LE_LADD_'
0. 'coq/Coq_Reals_Rtrigo1_SIN_bound/1' 'hl/thm/calc_num/ARITH_82'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_opp' 'hl/thm/Multivariate/transcendentals/CX_EXP_'#@#variant
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_div2' 'hl/thm/Complex/complex_transc/CX_CCOS_'
0. 'coq/Coq_Reals_Rpower_arcsinh_le' 'hl/thm/Library/transc/ATN_MONO_LT_'
0. 'coq/Coq_Reals_Rfunctions_pow_add' 'hl/thm/Multivariate/complexes/COMPLEX_POW_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_le_mono_l' 'hl/thm/Library/integer/INT_DIVIDES_MUL_R_'
0. 'coq/Coq_QArith_QOrderedType_QOrder_le_eq' 'hl/thm/int/INT_LTE_TRANS_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_trichotomy' 'hl/thm/Library/analysis/LESS_LESS_CASES_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_even_opp' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_CNJ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_le_mono' 'hl/thm/Library/transc/ATN_MONO_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lxor_eq_0_iff' 'hl/thm/realarith/REAL_SUB_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pos_pred_succ' 'hl/thm/Library/floor/INT_OF_REAL_OF_INT_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_le_incl' 'hl/thm/realarith/REAL_LT_IMP_LE_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_lt_mono_r' 'hl/thm/arith/LT_ADD_RCANCEL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_pos' 'hl/thm/real/REAL_SGN_INEQS_2'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_neg'#@#variant 'hl/thm/real/REAL_NEG_LT0_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_le_mono' 'hl/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_shuffle3' 'hl/thm/real/REAL_MAX_ACI_2'
0. 'coq/Coq_NArith_BinNat_N_shiftl_1_l'#@#variant 'hl/thm/realarith/REAL_POLY_NEG_CLAUSES_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lcm_0_r' 'hl/thm/Library/pocklington/ORDER_1_'#@#variant
0. 'coq/Coq_Arith_Div2_div2_double'#@#variant 'hl/thm/Multivariate/transcendentals/CCOS_CACS_'#@#variant
0. 'coq/Coq_Numbers_Cyclic_ZModulo_ZModulo_Ptail_pos'#@#variant 'hl/thm/Multivariate/transcendentals/ARG_/0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_nle' 'hl/thm/int/INT_LT_'
0. 'coq/Coq_Reals_Rtrigo_calc_sin_PI3'#@#variant 'hl/thm/Multivariate/transcendentals/SIN_PI3_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_pos_cancel_r'#@#variant 'hl/thm/Library/floor/INTEGER_SUB_EQ_1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_sub_distr' 'hl/thm/int/INT_SUB_LNEG_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_divide_mono_r' 'hl/thm/Library/analysis/LESS_MONO_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_divide_mono_l' 'hl/thm/realax/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_succ_l' 'hl/thm/int/INT_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_r' 'hl/thm/Library/prime/DIVIDES_MUL_R_'
0. 'coq/Coq_NArith_BinNat_N_pred_div2_up' 'hl/thm/Multivariate/transcendentals/CX_COS_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rgt_asym' 'hl/thm/arith/LT_ANTISYM_'
0. 'coq/Coq_ZArith_BinInt_Z_abs_opp' 'hl/thm/int/INT_ABS_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_lt_iff' 'hl/thm/int/INT_LT_MAX_'
0. 'coq/Coq_PArith_BinPos_Pos_add_le_mono_l' 'hl/thm/real/REAL_LE_LADD_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_neg_xO'#@#variant 'hl/thm/int/int_sgn_th_'
0. 'coq/Coq_QArith_Qminmax_Q_max_le_compat_r' 'hl/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_le_lt_mono' 'hl/thm/int/INT_LET_ADD2_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_lt_mono_r' 'hl/thm/arith/LT_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_lteq' 'hl/thm/realarith/REAL_LE_LT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gt_lt_iff' 'hl/thm/arith/GT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_le_compat_l' 'hl/thm/real/REAL_LT_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_divide/0' 'hl/thm/int/INT_MIN_MIN_/0'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_lt_mono_r' 'hl/thm/int/INT_LE_RADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_add_cancel_r' 'hl/thm/Library/poly/POLY_DIVIDES_SUB_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_simpl_r' 'hl/thm/int/INT_SUB_ADD_'
0. 'coq/Coq_ZArith_BinInt_Z_opp_involutive' 'hl/thm/int/INT_NEGNEG_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_lteq' 'hl/thm/int/INT_LE_LT_'
0. 'coq/Coq_Arith_PeanoNat_Nat_ones_equiv'#@#variant 'hl/thm/calc_num/ARITH_9'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_lub_lt_iff' 'hl/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_1_mul_pos'#@#variant 'hl/thm/int/INT_LTE_ADD_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_le_trans' 'hl/thm/int/INT_LTE_TRANS_'
0. 'coq/Coq_Reals_Rtrigo1_SIN_bound/0' 'hl/thm/arith/LT_0_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_divide_l' 'hl/thm/Library/analysis/SUB_LESS_EQ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_nonpos_nonneg'#@#variant 'hl/thm/real/REAL_NEG_LE0_'#@#variant
0. 'coq/Coq_ZArith_Zlogarithm_log_near_correct1'#@#variant 'hl/thm/int/INT_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_sub_le_add_r' 'hl/thm/int/INT_LE_SUB_LADD_'
0. 'coq/Coq_NArith_BinNat_N_log2_null'#@#variant 'hl/thm/int/INT_SGN_EQ_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_mul_l' 'hl/thm/Library/prime/DIVIDES_RMUL_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_comm' 'hl/thm/realax/NADD_ADD_SYM_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_pred_l' 'hl/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_odd_0' 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_opp_involutive' 'hl/thm/Multivariate/complexes/COMPLEX_INV_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_opp_r' 'hl/thm/int/INT_SUB_RNEG_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_nonneg' 'hl/thm/calc_num/ARITH_72'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_0_r' 'hl/thm/Library/integer/INT_DIVIDES_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_0_r'#@#variant 'hl/thm/arith/EXP_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_pos_cancel_r'#@#variant 'hl/thm/Library/floor/INTEGER_ADD_EQ_1'
0. 'coq/Coq_ZArith_BinInt_Z_pred_succ' 'hl/thm/Multivariate/transcendentals/LOG_EXP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_div2_double'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_EXP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_succ_l' 'hl/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_ZArith_BinInt_Z_ldiff_diag' 'hl/thm/arith/SUB_REFL_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_max_le_compat_r' 'hl/thm/Library/prime/DIVIDES_EXP_'
0. 'coq/Coq_Reals_RIneq_Rplus_le_compat_r' 'hl/thm/arith/EXP_MONO_LE_IMP_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_abs_0' 'hl/thm/realax/NADD_INV_0_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_le_refl' 'hl/thm/arith/LE_REFL_'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_pred' 'hl/thm/Multivariate/complexes/CX_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_even_sub' 'hl/thm/real/REAL_OF_NUM_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_shuffle3' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_AC_2'
0. 'coq/Coq_ZArith_BinInt_Z_add_0_l' 'hl/thm/arith/MULT_CLAUSES_2'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_pred_succ' 'hl/thm/Library/transc/ATN_TAN_'
0. 'coq/Coq_Arith_Min_min_l' 'hl/thm/arith/MOD_LT_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_even_2' 'hl/thm/Multivariate/complexes/IM_II_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_abs_max' 'hl/thm/real/REAL_SGN_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_add_r' 'hl/thm/arith/EXP_ADD_'
0. 'coq/Coq_QArith_QArith_base_Qplus_lt_r' 'hl/thm/int/INT_LE_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_pow2'#@#variant 'hl/thm/Library/transc/EXP_LN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_inj_wd' 'hl/thm/nums/IND_SUC_INJ_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_xO_r' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RNEG_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_even_1' 'hl/thm/Multivariate/complexes/IM_II_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftl_1_l'#@#variant 'hl/thm/realarith/REAL_POLY_NEG_CLAUSES_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_pow2'#@#variant 'hl/thm/Multivariate/transcendentals/EXP_LOG_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_succ_r' 'hl/thm/calc_int/REAL_MUL_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lxor_nonneg'#@#variant 'hl/thm/arith/EVEN_ADD_'
0. 'coq/Coq_Reals_Rtrigo1_tan_gt_0'#@#variant 'hl/thm/Library/transc/SIN_POS_PI_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lt_le_trans' 'hl/thm/arith/LTE_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_pred' 'hl/thm/Multivariate/transcendentals/LOG_EXP_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_even_0' 'hl/thm/Multivariate/complexes/IM_II_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_pos'#@#variant 'hl/thm/real/REAL_SGN_INEQS_0'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_odd_opp' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_CNJ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_greatest' 'hl/thm/Complex/cpoly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_even_1'#@#variant 'hl/thm/Multivariate/complexes/IM_II_'#@#variant
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_phi' 'hl/thm/Complex/complexnumbers/complex_tybij_1'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_pos'#@#variant 'hl/thm/Multivariate/vectors/SQRT_LT_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_le_mono_l' 'hl/thm/Library/prime/DIVIDES_MUL_R_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_lt_trans' 'hl/thm/arith/LET_TRANS_'
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_1_l'#@#variant 'hl/thm/realax/NADD_LE_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_ngt' 'hl/thm/int/INT_NOT_LE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_1_mul_pos'#@#variant 'hl/thm/int/INT_LTE_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_add_lt_sub_r' 'hl/thm/Library/analysis/SUB_LEFT_GREATER_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_succ_l' 'hl/thm/int/INT_MUL_LNEG_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_lt' 'hl/thm/realax/HREAL_OF_NUM_LE_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_lt_mono_nonneg'#@#variant 'hl/thm/real/REAL_LT_MUL2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_lt_lin'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_LE_X_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_lteq' 'hl/thm/int/INT_LE_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_le_lt_mono' 'hl/thm/int/INT_LET_ADD2_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sub_diag' 'hl/thm/arith/SUB_REFL_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_max_le_compat_l' 'hl/thm/Library/integer/INT_DIVIDES_MUL_L_'
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_2' 'hl/thm/Multivariate/transcendentals/ATN_0_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_succ_diag_r' 'hl/thm/Library/analysis/LESS_SUC_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_lub_l' 'hl/thm/Library/prime/DIVIDES_RMUL2_'
0. 'coq/Coq_QArith_Qminmax_Q_min_le_compat_l' 'hl/thm/Library/prime/DIVIDES_MUL_L_'
0. 'coq/Coq_Arith_PeanoNat_Nat_clearbit_spec_prime'#@#variant 'hl/thm/realax/real_sub_'
0. 'coq/Coq_QArith_Qcanon_Qcnot_lt_le' 'hl/thm/arith/LTE_CASES_'
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_nonneg_r'#@#variant 'hl/thm/real/REAL_LT_RMUL_'#@#variant
0. 'coq/Coq_Sets_Powerset_Union_minimal' 'hl/thm/Multivariate/vectors/ORTHOGONAL_CLAUSES_8'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lcm_diag' 'hl/thm/real/REAL_MUL_2_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div2_succ_double' 'hl/thm/Multivariate/transcendentals/LOG_EXP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LT_'
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_nonneg'#@#variant 'hl/thm/real/REAL_LT_MUL2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_le_pred' 'hl/thm/Library/analysis/LESS_EQ_IMP_LESS_SUC_'
0. 'coq/Coq_ZArith_BinInt_Z_add_cancel_l' 'hl/thm/realax/HREAL_EQ_ADD_LCANCEL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_sub_le_add_r' 'hl/thm/real/REAL_LT_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_0_l' 'hl/thm/realax/HREAL_ADD_LID_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_le_mono_r' 'hl/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_glb_lt' 'hl/thm/Library/integer/INT_DIVIDES_ADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_lt_lin'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div_le_mono'#@#variant 'hl/thm/Library/analysis/REAL_LE_RMUL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftl_mul_pow2'#@#variant 'hl/thm/int/INT_SUB_'
0. 'coq/Coq_Bool_Bool_diff_false_true' 'hl/thm/Library/analysis/REAL_10_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_cos_minus' 'hl/thm/Multivariate/transcendentals/COS_SUB_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pred_div2_up' 'hl/thm/Complex/complex_transc/CX_CCOS_'
0. 'coq/Coq_ZArith_Znat_Z_nat_N' 'hl/thm/int/int_of_num_th_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_ge_cases' 'hl/thm/realax/NADD_LE_TOTAL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_nonpos' 'hl/thm/real/REAL_SGN_INEQS_7'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_succ_diag_r' 'hl/thm/real/REAL_ABS_LE_'
0. 'coq/Coq_ZArith_Znat_Z2N_inj_0' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_succ_r' 'hl/thm/int/INT_MUL_RNEG_'
0. 'coq/Coq_NArith_BinNat_N_mul_pos_cancel_l'#@#variant 'hl/thm/Library/floor/INTEGER_SUB_EQ_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_succ_l' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_sub_le_add_r' 'hl/thm/real/REAL_LE_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_pow2'#@#variant 'hl/thm/Library/transc/EXP_LN_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_1_l' 'hl/thm/realax/NADD_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_le_mono' 'hl/thm/realax/NADD_INV_WELLDEF_'
0. 'coq/Coq_ZArith_Zdiv_Z_div_plus_full_l' 'hl/thm/arith/DIV_MULT_ADD_'#@#variant
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_succ' 'hl/thm/Multivariate/transcendentals/CX_COS_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_power_norm' 'hl/thm/int/INT_POW_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_lt_trans' 'hl/thm/realarith/REAL_LET_TRANS_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_quot2' 'hl/thm/Multivariate/transcendentals/CX_TAN_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_lt_mono_l' 'hl/thm/realax/NADD_LE_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gt_lt_iff' 'hl/thm/int/INT_GT_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sub_le_mono_r' 'hl/thm/Library/analysis/LESS_MONO_ADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_succ_pred_pos'#@#variant 'hl/thm/Library/transc/LN_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_ge_cases' 'hl/thm/int/INT_LET_TOTAL_'
0. 'coq/Coq_ZArith_Znat_Zabs2N_inj_pred'#@#variant 'hl/thm/Multivariate/transcendentals/CX_LOG_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qplus_le_r' 'hl/thm/int/INT_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_le_compat_l' 'hl/thm/realax/NADD_MUL_WELLDEF_LEMMA_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lxor_eq_0_iff' 'hl/thm/int/INT_SUB_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_1_l' 'hl/thm/Complex/complexnumbers/COMPLEX_POLY_NEG_CLAUSES_0'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_le' 'hl/thm/realax/HREAL_OF_NUM_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_eq_opp_r' 'hl/thm/real/REAL_NEG_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftr_opp_r' 'hl/thm/realax/real_div_'
0. 'coq/Coq_NArith_BinNat_N_eq_mul_0' 'hl/thm/realarith/REAL_ENTIRE_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_land' 'hl/thm/Library/transc/REAL_EXP_ADD_'
0. 'coq/Coq_NArith_BinNat_N_log2_up_le_mono' 'hl/thm/Multivariate/transcendentals/ATN_MONO_LT_'
0. 'coq/Coq_NArith_BinNat_N_land_diag' 'hl/thm/int/INT_MIN_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_pos'#@#variant 'hl/thm/real/REAL_LE_INV_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_nonneg' 'hl/thm/Multivariate/transcendentals/ATN_BOUNDS_/0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sub_min_distr_l' 'hl/thm/arith/EXP_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_sub_r' 'hl/thm/Library/integer/INT_DIVIDES_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_lt_mono'#@#variant 'hl/thm/Library/analysis/REAL_LT_MUL2_ALT_'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qcmult_inv_l'#@#variant 'hl/thm/realax/REAL_MUL_LINV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_add_cancel_r' 'hl/thm/Complex/cpoly/POLY_DIVIDES_SUB_'#@#variant
0. 'coq/Coq_fourier_Fourier_util_Rfourier_lt'#@#variant 'hl/thm/real/REAL_LE_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_le_mono_nonneg'#@#variant 'hl/thm/Library/analysis/REAL_LE_MUL2V_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_null'#@#variant 'hl/thm/int/INT_SGN_EQ_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_shuffle3' 'hl/thm/int/INT_MIN_ACI_2'
0. 'coq/Coq_ZArith_BinInt_Z_divide_Zpos' 'hl/thm/int/INT_OF_NUM_GT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_square_spec' 'hl/thm/Library/analysis/REAL_DOUBLE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_min_distr' 'hl/thm/Complex/complex_transc/CEXP_SUB_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_1_l' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_1_l' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_lt_iff' 'hl/thm/int/INT_LT_MAX_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_le_mono_l' 'hl/thm/arith/LT_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_odd_spec' 'hl/thm/Multivariate/complexes/real_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_eq_opp_l' 'hl/thm/real/REAL_NEG_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_succ_r_prime' 'hl/thm/arith/EXP_1'
0. 'coq/Coq_Reals_RIneq_Rplus_le_compat_l' 'hl/thm/Library/prime/DIVIDES_MUL_L_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_le_mono_l' 'hl/thm/realax/NADD_LE_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_double_mul' 'hl/thm/int/INT_NEG_LMUL_'
0. 'coq/Coq_ZArith_BinInt_Z_sgn_nonpos' 'hl/thm/calc_num/ARITH_92'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_refl' 'hl/thm/Multivariate/misc/GE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_odd_1'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_odd_2'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_le_min_l' 'hl/thm/Library/analysis/SUB_LESS_EQ_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_succ' 'hl/thm/int/int_neg_th_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_double' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_INV_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_null'#@#variant 'hl/thm/int/INT_SGN_EQ_2'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_max_le_compat_r' 'hl/thm/realax/NADD_LE_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_factor_l' 'hl/thm/int/INT_MAX_MAX_/0'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_odd_0' 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant
0. 'coq/Coq_Reals_Rpower_exp_increasing' 'hl/thm/Library/floor/FLOOR_MONO_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_shuffle3' 'hl/thm/real/REAL_MAX_ACI_2'
0. 'coq/Coq_NArith_BinNat_N_add_pos_nonneg'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_LT_1_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_succ_l' 'hl/thm/int/INT_MUL_LNEG_'
0. 'coq/Coq_PArith_BinPos_Pos_min_1_r' 'hl/thm/Library/prime/INDEX_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_pos'#@#variant 'hl/thm/Multivariate/vectors/SQRT_LE_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_nlt_ge' 'hl/thm/arith/NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_pred_l' 'hl/thm/Multivariate/transcendentals/REAL_INV_RPOW_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_pos_iff'#@#variant 'hl/thm/Library/floor/REAL_FRAC_EQ_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_irrefl' 'hl/thm/arith/LT_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_land_0_r' 'hl/thm/realax/HREAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_le_neq' 'hl/thm/int/INT_LT_TOTAL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_refl' 'hl/thm/Library/poly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_Arith_Gt_gt_n_S' 'hl/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_inj_wd' 'hl/thm/Multivariate/vectors/SQRT_INJ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_add_r' 'hl/thm/Library/prime/DIVIDES_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lxor_nilpotent' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_REFL_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_log2_up_le_mono' 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_NArith_BinNat_N_pow_lt_mono'#@#variant 'hl/thm/Library/analysis/REAL_LE_MUL2V_'#@#variant
0. 'coq/Coq_Init_Datatypes_CompOpp_involutive' 'hl/thm/Multivariate/complexes/COMPLEX_INV_INV_'#@#variant
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_incr' 'hl/thm/Complex/complex_transc/CX_CEXP_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_abs' 'hl/thm/Multivariate/transcendentals/CX_EXP_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_succ_r' 'hl/thm/int/INT_NEG_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_le_mono' 'hl/thm/realax/NADD_INV_WELLDEF_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_lt_mono_l' 'hl/thm/arith/LT_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ldiff_land' 'hl/thm/int/INT_SUB_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_nonneg'#@#variant 'hl/thm/real/REAL_LE_MUL2_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_min_le_compat_r' 'hl/thm/arith/EXP_MONO_LE_IMP_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_nge' 'hl/thm/int/INT_NOT_LE_'
0. 'coq/Coq_ZArith_Zorder_Zsucc_lt_compat' 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_QArith_QOrderedType_QOrder_lt_eq' 'hl/thm/realarith/REAL_LTE_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_cancel_l' 'hl/thm/arith/EQ_ADD_LCANCEL_'
0. 'coq/Coq_NArith_BinNat_N_max_lt_iff' 'hl/thm/real/REAL_LE_MAX_'
0. 'coq/Coq_QArith_QArith_base_Qplus_le_l' 'hl/thm/arith/LT_ADD_RCANCEL_'
0. 'coq/Coq_NArith_BinNat_N_square_spec' 'hl/thm/Library/analysis/REAL_DOUBLE_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_shuffle3' 'hl/thm/int/INT_MIN_ACI_2'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_nonneg' 'hl/thm/Multivariate/transcendentals/ATN_BOUNDS_/0'#@#variant
0. 'coq/Coq_Bool_Bool_orb_false_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_succ_l' 'hl/thm/Multivariate/transcendentals/RPOW_INV_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_pos'#@#variant 'hl/thm/real/REAL_SGN_INEQS_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_shuffle3' 'hl/thm/real/REAL_MAX_ACI_2'
0. 'coq/Coq_NArith_BinNat_N_max_id' 'hl/thm/real/REAL_MAX_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_l' 'hl/thm/realax/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_div2'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_lt_iff' 'hl/thm/real/REAL_LE_MAX_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_add_cancel_r' 'hl/thm/Library/integer/INT_DIVIDES_ADD_REVR_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_lt_mono_r' 'hl/thm/realax/NADD_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_lt_mono_r_iff'#@#variant 'hl/thm/real/REAL_LE_LMUL_EQ_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_lt_mono_l' 'hl/thm/real/REAL_LT_LADD_'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_lt_not_gt' 'hl/thm/real/REAL_LT_ANTISYM_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pos_pred_succ' 'hl/thm/Multivariate/vectors/LIFT_DROP_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_pos'#@#variant 'hl/thm/Library/transc/ATN_POS_LE_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_pos'#@#variant 'hl/thm/real/REAL_LT_INV_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_eq_add_0' 'hl/thm/arith/ADD_EQ_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_inj_wd' 'hl/thm/Library/transc/ATN_INJ_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lor_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_double'#@#variant 'hl/thm/Multivariate/transcendentals/CX_SIN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_id' 'hl/thm/real/REAL_MAX_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_0_l' 'hl/thm/int/INT_NEG_MINUS1_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_min_le_compat_r' 'hl/thm/Library/analysis/LESS_MONO_ADD_'
0. 'coq/Coq_NArith_BinNat_N_lt_nge' 'hl/thm/realax/real_lt_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_divide_mono_r' 'hl/thm/realax/NADD_LE_RMUL_'
0. 'coq/Coq_ZArith_BinInt_Z_sgn_opp' 'hl/thm/Library/transc/ATN_NEG_'
0. 'coq/Coq_QArith_QArith_base_Qplus_inj_r' 'hl/thm/arith/LE_ADD_RCANCEL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_lt_mono_nonneg'#@#variant 'hl/thm/Library/analysis/REAL_LE_MUL2V_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_inj_wd' 'hl/thm/calc_num/ARITH_57'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_eq_mul_0' 'hl/thm/real/REAL_DIV_EQ_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_double_mul' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LNEG_'
0. 'coq/Coq_ZArith_Znat_Zabs2N_inj_opp' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_pred' 'hl/thm/Library/transc/ATN_/2'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_div_same'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_DIV_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pred_succ' 'hl/thm/Multivariate/transcendentals/CCOS_CACS_'#@#variant
0. 'coq/Coq_Arith_Even_even_mult_l' 'hl/thm/Multivariate/transcendentals/RPOW_POS_LT_'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qclt_le_trans' 'hl/thm/int/INT_LTE_TRANS_'
0. 'coq/Coq_NArith_BinNat_N_mod_le' 'hl/thm/arith/DIV_LE_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_succ_l' 'hl/thm/int/INT_MUL_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ldiff_m1_r'#@#variant 'hl/thm/arith/MOD_1_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Ropp_Rmin' 'hl/thm/Library/transc/REAL_EXP_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_mul_l' 'hl/thm/Library/prime/DIVIDES_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_le_mono_l' 'hl/thm/realax/HREAL_LE_ADD_LCANCEL_'
0. 'coq/Coq_Bool_Bool_negb_xorb_r' 'hl/thm/calc_int/REAL_MUL_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_lt_lin'#@#variant 'hl/thm/Library/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_square_spec' 'hl/thm/real/REAL_MUL_2_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_succ_l' 'hl/thm/calc_int/REAL_MUL_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_opp' 'hl/thm/Complex/complexnumbers/CNJ_NEG_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_even_1'#@#variant 'hl/thm/Multivariate/complexes/IM_II_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_pred_inj_wd' 'hl/thm/Multivariate/vectors/SQRT_INJ_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_id' 'hl/thm/real/REAL_MAX_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_lt_iff' 'hl/thm/real/REAL_LT_MAX_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_nlt_ge' 'hl/thm/int/INT_LT_'
0. 'coq/Coq_ZArith_BinInt_Z_abs_0_iff' 'hl/thm/int/INT_NEG_EQ_0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_le_mono_pos_l'#@#variant 'hl/thm/real/REAL_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_setbit_spec_prime'#@#variant 'hl/thm/Multivariate/complexes/complex_div_'#@#variant
0. 'coq/Coq_Reals_Rtrigo_def_sin_antisym' 'hl/thm/Library/transc/ATN_NEG_'
0. 'coq/Coq_Reals_RIneq_Rnot_le_lt' 'hl/thm/realarith/REAL_LET_TOTAL_'
0. 'coq/Coq_NArith_BinNat_N_nle_gt' 'hl/thm/int/INT_NOT_LT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_move_r' 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_SUB_RADD_'
0. 'coq/Coq_fourier_Fourier_util_Rle_zero_pos_plus1'#@#variant 'hl/thm/Library/transc/SQRT_POS_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_pred_l' 'hl/thm/Library/pratt/PHI_LIMIT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_nonneg' 'hl/thm/Multivariate/transcendentals/ATN_BOUNDS_/0'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_le_mono_r_iff'#@#variant 'hl/thm/real/REAL_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_total' 'hl/thm/Library/prime/LESS_LESS_CASES_'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_lt_le' 'hl/thm/real/REAL_LT_GT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_setbit_spec_prime'#@#variant 'hl/thm/Multivariate/complexes/complex_div_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Zle_Qle' 'hl/thm/int/int_gt_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_odd_sub' 'hl/thm/int/INT_OF_NUM_SUB_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_divide_refl' 'hl/thm/realax/HREAL_LE_REFL_'
0. 'coq/Coq_NArith_BinNat_N_setbit_spec_prime'#@#variant 'hl/thm/real/REAL_SUB_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_l' 'hl/thm/arith/MOD_LT_'
0. 'coq/Coq_PArith_Pnat_Nat2Pos_inj_pred' 'hl/thm/Multivariate/transcendentals/CX_ATN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_succ_l' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lcm_eq_0' 'hl/thm/Complex/complexnumbers/COMPLEX_ENTIRE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lor_0_l' 'hl/thm/realax/REAL_ADD_LID_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_gcd_greatest' 'hl/thm/Library/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftl_opp_r' 'hl/thm/realax/real_sub_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_le_mono_r' 'hl/thm/realax/NADD_LE_RADD_'
0. 'coq/Coq_Arith_Mult_mult_le_compat_l' 'hl/thm/Library/prime/DIVIDES_MUL_L_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_nonneg_r'#@#variant 'hl/thm/Library/analysis/REAL_LE_RMUL_IMP_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_1_l'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_LZERO_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_lt_lin'#@#variant 'hl/thm/Library/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_ge_le_iff' 'hl/thm/realax/real_gt_'
0. 'coq/Coq_Reals_RIneq_Rle_not_lt' 'hl/thm/arith/LET_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_glb_lt_iff' 'hl/thm/real/REAL_LT_MIN_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_0_r'#@#variant 'hl/thm/arith/MOD_1_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zle_0_nat'#@#variant 'hl/thm/real/REAL_LE_POW2_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_min_glb_lt_iff' 'hl/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_succ_inj_wd' 'hl/thm/Complex/complexnumbers/CNJ_INJ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_move_0_l' 'hl/thm/real/REAL_RNEG_UNIQ_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_add_sub' 'hl/thm/int/INT_SUB_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_lt_trans' 'hl/thm/arith/LET_TRANS_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div_mod' 'hl/thm/arith/DIVISION_SIMP_1'#@#variant
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_double' 'hl/thm/Complex/complex_transc/CX_CSIN_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_1_l'#@#variant 'hl/thm/realarith/REAL_POLY_NEG_CLAUSES_0'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pow_lt_mono_r_iff'#@#variant 'hl/thm/Library/analysis/REAL_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rmult_le_compat_l'#@#variant 'hl/thm/int/INT_LE_LMUL_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_min_glb_lt_iff' 'hl/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_2' 'hl/thm/Library/calc_real/REAL_EXP_13_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_pred_r' 'hl/thm/arith/SUB_1'
0. 'coq/Coq_NArith_BinNat_N_gcd_0_l' 'hl/thm/arith/MULT_CLAUSES_2'#@#variant
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_succ' 'hl/thm/Complex/complex_transc/CX_CEXP_'
0. 'coq/Coq_QArith_QOrderedType_QOrder_le_lt_trans' 'hl/thm/realarith/REAL_LET_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_opp' 'hl/thm/Complex/complex_transc/CSIN_NEG_'
0. 'coq/Coq_QArith_QArith_base_Qmult_lt_r'#@#variant 'hl/thm/real/REAL_LE_DIV2_EQ_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_pred'#@#variant 'hl/thm/Library/analysis/REAL_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pred_le_mono' 'hl/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_succ_l' 'hl/thm/calc_int/REAL_MUL_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_nlt_ge' 'hl/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_neq' 'hl/thm/int/INT_LT_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lcm_1_l'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rplus_ne/1' 'hl/thm/realax/HREAL_ADD_LID_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_assoc' 'hl/thm/realax/NADD_MUL_ASSOC_'
0. 'coq/Coq_Arith_PeanoNat_Nat_min_0_r' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RZERO_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_max_r' 'hl/thm/real/REAL_MAX_MAX_/1'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_invc' 'hl/thm/int/int_neg_th_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lcm_eq_0' 'hl/thm/arith/MULT_EQ_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_diag'#@#variant 'hl/thm/real/REAL_MUL_2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_ge_cases' 'hl/thm/int/INT_LTE_TOTAL_'
0. 'coq/Coq_Reals_Rtrigo_def_sin_antisym' 'hl/thm/Multivariate/transcendentals/TAN_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_gt_cases' 'hl/thm/real/REAL_NOT_EQ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_lt_lin'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_LE_X_'#@#variant
0. 'coq/Coq_QArith_Qabs_Qabs_wd' 'hl/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_glb_lt_iff' 'hl/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_pos'#@#variant 'hl/thm/Library/floor/RATIONAL_INV_EQ_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_null'#@#variant 'hl/thm/real/REAL_SGN_EQ_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_pos_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LE_EQ_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_lt_mono_l' 'hl/thm/realax/NADD_LE_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_lt_mono_r' 'hl/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ldiff_diag' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_divide_add_cancel_l' 'hl/thm/Library/prime/DIVIDES_ADD_REVL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lcm_1_l'#@#variant 'hl/thm/realax/HREAL_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_inj_wd' 'hl/thm/calc_num/ARITH_48'
0. 'coq/Coq_PArith_BinPos_Pos_mul_succ_r' 'hl/thm/arith/EXP_1'
0. 'coq/Coq_Reals_Exp_prop_div2_not_R0'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_POS_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_asymm' 'hl/thm/int/INT_LT_ANTISYM_'
0. 'coq/Coq_ZArith_Zsqrt_compat_Zsqrt_le'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_MONO_LE_IMP_'#@#variant
0. 'coq/Coq_ZArith_Zeven_Zodd_pred' 'hl/thm/Library/transc/LN_POS_LT_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_le_sub_le_add_r' 'hl/thm/Library/analysis/SUB_LEFT_GREATER_EQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_0_l' 'hl/thm/int/INT_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_square_spec' 'hl/thm/Library/analysis/REAL_DOUBLE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_1_l'#@#variant 'hl/thm/realax/HREAL_ADD_LID_'#@#variant
0. 'coq/Coq_Reals_Raxioms_Rmult_1_l' 'hl/thm/int/INT_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_lt_trans' 'hl/thm/realarith/REAL_LET_TRANS_'
0. 'coq/Coq_NArith_BinNat_N_pow_le_mono_r_iff'#@#variant 'hl/thm/real/REAL_LE_LMUL_EQ_'#@#variant
0. 'coq/Coq_ZArith_Zlogarithm_log_inf_correct/1' 'hl/thm/Complex/complex_transc/COMPLEX_NORM_GE_RE_IM_/1'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_divide_mul_l' 'hl/thm/Library/prime/DIVIDES_RMUL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_le_compat_r' 'hl/thm/realax/HREAL_LE_MUL_RCANCEL_IMP_'
0. 'coq/Coq_ZArith_BinInt_Z_lnot_lxor_r' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_0_l' 'hl/thm/Library/integer/INT_DIVIDES_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_wf_0' 'hl/thm/Library/analysis/DORDER_NGE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_null'#@#variant 'hl/thm/int/INT_SGN_EQ_2'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_succ_l' 'hl/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_QArith_QArith_base_inject_Z_opp' 'hl/thm/int/int_neg_th_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_neq_0_succ' 'hl/thm/Library/transc/REAL_EXP_NZ_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_pos_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_POS_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_lt_mono_r' 'hl/thm/int/INT_LE_RADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_add_diag_r' 'hl/thm/realax/NADD_LE_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_lt_mono_pos_r'#@#variant 'hl/thm/real/REAL_LE_DIV2_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_sub_le_add_r' 'hl/thm/int/INT_LT_SUB_LADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sub_diag' 'hl/thm/int/INT_SUB_REFL_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_le_mono_r' 'hl/thm/arith/LT_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_involutive' 'hl/thm/int/INT_NEGNEG_'
0. 'coq/Coq_ZArith_Znat_Z2N_inj_pred' 'hl/thm/Complex/complex_transc/CX_CCOS_'
0. 'coq/Coq_ZArith_BinInt_Z_lor_0_l' 'hl/thm/arith/ADD_CLAUSES_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_cancel_l' 'hl/thm/arith/EQ_ADD_LCANCEL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftr_opp_r' 'hl/thm/int/INT_SUB_RNEG_'
0. 'coq/Coq_Reals_ROrderedType_ROrder_lt_irrefl' 'hl/thm/int/INT_LT_REFL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_lt_mono_pos_l'#@#variant 'hl/thm/Library/analysis/REAL_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qcpower_1'#@#variant 'hl/thm/real/REAL_POW_ONE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gt_lt_iff' 'hl/thm/int/INT_GE_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_pred_double_succ' 'hl/thm/calc_num/ARITH_4'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_square_spec' 'hl/thm/Library/analysis/REAL_DOUBLE_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_divide_1_l'#@#variant 'hl/thm/Library/prime/DIVIDES_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_le_mono' 'hl/thm/int/INT_LE_NEG2_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_divide_add_cancel_l' 'hl/thm/Library/poly/POLY_DIVIDES_SUB2_'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_succ' 'hl/thm/Multivariate/transcendentals/CX_ATN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_le_mono_r' 'hl/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_ZArith_Zpower_two_p_is_exp'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_DIV_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sgn_nonpos' 'hl/thm/real/REAL_SGN_INEQS_6'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_le_mono_l' 'hl/thm/realax/NADD_LE_LADD_'
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_Ropp' 'hl/thm/Multivariate/vectors/REAL_SGN_SQRT_'
0. 'coq/Coq_ZArith_Zeven_Zodd_Sn' 'hl/thm/Library/pocklington/PHI_LOWERBOUND_2_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_glb_lt_iff' 'hl/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pred_div2_up' 'hl/thm/int/int_sgn_th_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_ngt' 'hl/thm/Library/analysis/real_le_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_pos'#@#variant 'hl/thm/real/REAL_SGN_INEQS_0'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_0_l' 'hl/thm/realax/REAL_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_trichotomy' 'hl/thm/Library/analysis/LESS_LESS_CASES_'
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_r' 'hl/thm/Library/integer/INT_DIVIDES_MUL_R_'
0. 'coq/Coq_QArith_QArith_base_Qlt_not_le' 'hl/thm/arith/LTE_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lcm_1_l'#@#variant 'hl/thm/arith/MULT_CLAUSES_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_le_mono_l' 'hl/thm/Library/analysis/LESS_MONO_ADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_irrefl' 'hl/thm/arith/LT_REFL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_succ_l' 'hl/thm/arith/LE_SUC_LT_'
0. 'coq/Coq_ZArith_BinInt_Z_le_le_succ_r' 'hl/thm/Library/analysis/LESS_SUC_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_lcm_l' 'hl/thm/int/INT_MAX_MAX_/0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_0_r'#@#variant 'hl/thm/arith/MOD_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_2' 'hl/thm/Multivariate/transcendentals/TAN_0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_pos'#@#variant 'hl/thm/Library/integer/INT_PRIME_ABS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_pred_r' 'hl/thm/int/INT_NEG_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_0_r' 'hl/thm/Library/integer/INT_DIVIDES_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lxor_0_l' 'hl/thm/realax/REAL_ADD_LID_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_max_le_compat_r' 'hl/thm/realax/HREAL_LE_MUL_RCANCEL_IMP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lcm_divide_iff' 'hl/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_le_mono_l' 'hl/thm/realax/NADD_LE_LADD_'
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_add_le' 'hl/thm/int/INT_ABS_TRIANGLE_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_le_compat_r' 'hl/thm/Library/prime/DIVIDES_EXP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_le_mono' 'hl/thm/realax/NADD_INV_WELLDEF_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_pred_l' 'hl/thm/Library/pratt/PHI_LIMIT_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_sqrt' 'hl/thm/int/int_abs_th_'
0. 'coq/Coq_ZArith_BinInt_Z_min_glb_lt_iff' 'hl/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_Reals_ROrderedType_ROrder_le_refl' 'hl/thm/Library/prime/DIVIDES_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_clearbit_spec_prime'#@#variant 'hl/thm/Multivariate/complexes/complex_div_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_pred_succ' 'hl/thm/Library/transc/ATN_/2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_succ_diag_r' 'hl/thm/arith/LT_POW2_REFL_'#@#variant
0. 'coq/Coq_fourier_Fourier_util_Rle_zero_pos_plus1'#@#variant 'hl/thm/Multivariate/transcendentals/REAL_SIN_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_2'#@#variant 'hl/thm/nums/ZERO_DEF_'
0. 'coq/Coq_NArith_BinNat_N_sub_le_mono_r' 'hl/thm/Library/prime/LESS_MONO_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_cancel_l' 'hl/thm/arith/EQ_ADD_LCANCEL_'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_iff' 'hl/thm/Complex/complexnumbers/CX_INJ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_1_mul_pos'#@#variant 'hl/thm/int/INT_LTE_ADD_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_pos' 'hl/thm/real/REAL_SGN_INEQS_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_move_r' 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_SUB_RADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_le_mono_pos_l'#@#variant 'hl/thm/int/INT_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_null'#@#variant 'hl/thm/int/INT_SGN_EQ_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_glb' 'hl/thm/Library/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_le_iff' 'hl/thm/real/REAL_LE_MAX_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div_same'#@#variant 'hl/thm/arith/DIV_REFL_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_inv_norm' 'hl/thm/Library/floor/RATIONAL_NEG_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_le_mono_r_iff'#@#variant 'hl/thm/int/INT_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_div2_nonneg' 'hl/thm/calc_num/ARITH_72'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_pos_nonneg'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_LT_1_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sub_simpl_r' 'hl/thm/arith/ADD_SUB_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_lt_mono_l_iff' 'hl/thm/Library/prime/DIVIDES_EXP2_EQ_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_le_compat_r' 'hl/thm/arith/EXP_MONO_LE_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_max_r' 'hl/thm/int/INT_MAX_MAX_/1'
0. 'coq/Coq_QArith_Qreals_Q2R_opp' 'hl/thm/Multivariate/transcendentals/CX_EXP_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rmult_0_r' 'hl/thm/Library/prime/INDEX_0_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qplus_lt_l' 'hl/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_divide_mono_l' 'hl/thm/int/INT_LE_LADD_IMP_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_incr' 'hl/thm/Multivariate/transcendentals/CX_ATN_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_lt_mono_l' 'hl/thm/arith/LT_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_lt_mono_l' 'hl/thm/realax/HREAL_LE_ADD_LCANCEL_'
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_Zabs' 'hl/thm/Complex/complexnumbers/CX_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lcm_0_r' 'hl/thm/int/INT_MUL_RZERO_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_eq_cases' 'hl/thm/int/INT_LE_LT_'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tmult_comm_stable' 'hl/thm/Library/multiplicative/MULTIPLICATIVE_SIGMA_'
0. 'coq/Coq_QArith_QArith_base_Qle_refl' 'hl/thm/Library/poly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_Reals_Raxioms_Rmult_lt_compat_l'#@#variant 'hl/thm/real/REAL_LT_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_le_compat_r' 'hl/thm/arith/EXP_MONO_LE_IMP_'
0. 'coq/Coq_Reals_Raxioms_Rlt_asym' 'hl/thm/int/INT_LT_GT_'
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_Zabs' 'hl/thm/int/int_abs_th_'
0. 'coq/Coq_QArith_QArith_base_inject_Z_opp' 'hl/thm/int/int_sgn_th_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_lor' 'hl/thm/Multivariate/transcendentals/REAL_EXP_SUB_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_gt' 'hl/thm/realax/HREAL_OF_NUM_LE_'
0. 'coq/Coq_Reals_RIneq_cond_nonneg'#@#variant 'hl/thm/Library/floor/INTEGER_CLOSED_0'
0. 'coq/Coq_ZArith_BinInt_Z_abs_triangle' 'hl/thm/int/INT_ABS_TRIANGLE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_le_mono_l' 'hl/thm/arith/LT_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_shuffle3' 'hl/thm/Multivariate/complexes/COMPLEX_MUL_AC_2'#@#variant
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_le_neq' 'hl/thm/Library/analysis/LESS_CASES_IMP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_lt_mono_l' 'hl/thm/real/REAL_LT_LADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_glb_lt' 'hl/thm/Library/integer/INT_DIVIDES_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lcm_0_r' 'hl/thm/calc_int/REAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_pos'#@#variant 'hl/thm/Library/integer/INT_PRIME_ABS_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_succ_r' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RNEG_'
0. 'coq/Coq_ZArith_Zquot_Zquot_opp_l' 'hl/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_Init_Peano_plus_Sn_m' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_LMUL_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_succ' 'hl/thm/int/int_neg_th_'
0. 'coq/Coq_QArith_Qminmax_Q_max_le_compat_l' 'hl/thm/Library/prime/DIVIDES_MUL_L_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_succ_r' 'hl/thm/arith/LT_SUC_LE_'
0. 'coq/Coq_Arith_Lt_lt_n_S' 'hl/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_triangle' 'hl/thm/int/INT_ABS_TRIANGLE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_land_0_r' 'hl/thm/Library/prime/INDEX_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_lt_mono_r' 'hl/thm/realax/NADD_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_mod' 'hl/thm/arith/MOD_ADD_MOD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_eq_mul_0' 'hl/thm/int/INT_ENTIRE_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rle_refl' 'hl/thm/realax/TREAL_EQ_REFL_'#@#variant
0. 'coq/Coq_Reals_RIneq_Ropp_mult_distr_l' 'hl/thm/int/INT_NEG_LMUL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_sub_r' 'hl/thm/Library/integer/INT_DIVIDES_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sub_add' 'hl/thm/arith/SUB_ADD_'
0. 'coq/Coq_Reals_RIneq_Rgt_ge' 'hl/thm/realax/NADD_EQ_IMP_LE_'
0. 'coq/Coq_ZArith_Zpow_alt_Zpower_alt_0_r'#@#variant 'hl/thm/arith/MOD_1_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_sin_neg' 'hl/thm/Multivariate/vectors/SQRT_INV_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_lt' 'hl/thm/real/REAL_OF_NUM_LT_'
0. 'coq/Coq_Reals_RIneq_Rplus_ge_compat_r' 'hl/thm/realax/NADD_LE_RMUL_'
0. 'coq/Coq_ZArith_BinInt_Z_lor_m1_r'#@#variant 'hl/thm/Library/pocklington/ORDER_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_cancel_r' 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_eq_cases' 'hl/thm/realarith/REAL_LE_LT_'
0. 'coq/Coq_ZArith_Zquot_Zrem_opp_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LNEG_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_le_iff' 'hl/thm/real/REAL_LT_MAX_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_setbit_spec_prime'#@#variant 'hl/thm/Multivariate/complexes/complex_div_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_sin_neg' 'hl/thm/Multivariate/transcendentals/ATN_ABS_'
0. 'coq/Coq_QArith_QOrderedType_QOrder_le_refl' 'hl/thm/int/INT_LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_pred_r' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RNEG_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_mul_r' 'hl/thm/Library/prime/DIVIDES_LMUL_'
0. 'coq/Coq_QArith_QArith_base_Qmult_lt_l'#@#variant 'hl/thm/real/REAL_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_lt_mono'#@#variant 'hl/thm/Library/analysis/REAL_LE_MUL2V_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_wf_0' 'hl/thm/wf/WF_num_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_shuffle3' 'hl/thm/int/INT_MUL_AC_2'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_opp_r' 'hl/thm/Complex/complexnumbers/complex_sub_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_nonneg_l'#@#variant 'hl/thm/real/REAL_LE_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_1_l'#@#variant 'hl/thm/arith/ADD_CLAUSES_0'#@#variant
0. 'coq/Coq_QArith_Qminmax_Q_max_min_distr' 'hl/thm/realax/NADD_LDISTRIB_'
0. 'coq/Coq_ZArith_BinInt_Z_log2_le_mono' 'hl/thm/Library/transc/ATN_MONO_LT_'
0. 'coq/Coq_NArith_BinNat_N_lt_ge_cases' 'hl/thm/arith/LTE_CASES_'
0. 'coq/Coq_NArith_BinNat_N_add_cancel_r' 'hl/thm/arith/EQ_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_nlt' 'hl/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_ZArith_Zeven_Zeven_div2'#@#variant 'hl/thm/Multivariate/transcendentals/EXP_LOG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_le_mono_r' 'hl/thm/arith/LT_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_divide_l' 'hl/thm/real/REAL_MIN_MIN_/0'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_cancel_r' 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_divide_cancel_r' 'hl/thm/Library/prime/DIVIDES_RMUL2_EQ_'#@#variant
0. 'coq/Coq_Bool_Bool_andb_false_iff' 'hl/thm/Complex/complexnumbers/COMPLEX_ENTIRE_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_lt_nle' 'hl/thm/int/INT_NOT_LE_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_is_pos'#@#variant 'hl/thm/Multivariate/transcendentals/ARG_/0'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_nlt_ge' 'hl/thm/int/INT_LT_'
0. 'coq/Coq_Arith_Mult_mult_lt_compat_l'#@#variant 'hl/thm/int/INT_LE_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_lt_mono_pos_r'#@#variant 'hl/thm/real/REAL_LT_DIV2_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_lt_mono_pos_l'#@#variant 'hl/thm/real/REAL_LE_LMUL_EQ_'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_ge' 'hl/thm/realax/HREAL_OF_NUM_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_0_r' 'hl/thm/Library/pocklington/ORDER_1_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qnot_le_lt' 'hl/thm/arith/LET_CASES_'
0. 'coq/Coq_Reals_RIneq_Rle_0_1' 'hl/thm/Multivariate/transcendentals/PI2_BOUNDS_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_le_compat_l' 'hl/thm/realax/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_r' 'hl/thm/Library/prime/LESS_MONO_ADD_'
0. 'coq/Coq_QArith_QArith_base_Qplus_le_l' 'hl/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sub_le_mono_r' 'hl/thm/realax/NADD_LE_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_lt_mono_pos_l'#@#variant 'hl/thm/Library/analysis/REAL_LE_LMUL_LOCAL_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_cancel_r' 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_ADD_RCANCEL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lxor_eq_0_iff' 'hl/thm/realarith/REAL_SUB_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_gcd_greatest' 'hl/thm/Complex/cpoly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_1_l'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftl_mul_pow2'#@#variant 'hl/thm/int/INT_SUB_RNEG_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_succ_l' 'hl/thm/arith/LE_SUC_LT_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_oppc' 'hl/thm/Multivariate/transcendentals/CX_TAN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_succ_inj_wd' 'hl/thm/Complex/complexnumbers/CNJ_INJ_'
0. 'coq/Coq_MMaps_MMapPositive_PositiveMap_ME_ltk_strorder' 'hl/thm/Multivariate/topology/MCOMPLETE_EUCLIDEAN_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftl_1_l'#@#variant 'hl/thm/int/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qinv_lt_0_compat'#@#variant 'hl/thm/Multivariate/transcendentals/REAL_TAN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_le_mono_l' 'hl/thm/realax/NADD_LE_LADD_'
0. 'coq/Coq_QArith_Qreduction_Qred_opp' 'hl/thm/Multivariate/transcendentals/TAN_NEG_'
0. 'coq/Coq_QArith_QArith_base_Qlt_le_weak' 'hl/thm/realax/TREAL_EQ_IMP_LE_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_le_mono' 'hl/thm/calc_int/REAL_LE_NEG2_'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_lt_mono_r'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LE_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_le_refl' 'hl/thm/Library/prime/DIVIDES_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_add_le' 'hl/thm/int/INT_ABS_TRIANGLE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_opp' 'hl/thm/Multivariate/transcendentals/COS_ABS_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_le_iff' 'hl/thm/real/REAL_LT_MAX_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_Even_or_Odd' 'hl/thm/arith/EVEN_OR_ODD_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_le' 'hl/thm/real/REAL_OF_NUM_LT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lcm_0_r' 'hl/thm/Library/pocklington/ORDER_1_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_le_compat_r' 'hl/thm/arith/EXP_MONO_LE_IMP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_mod_idemp_r' 'hl/thm/arith/MOD_MULT_RMOD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_le_compat_r' 'hl/thm/Library/prime/LESS_MONO_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_nlt_ge' 'hl/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_le_mono_r' 'hl/thm/int/INT_LE_RADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_nonneg' 'hl/thm/Multivariate/transcendentals/ATN_BOUNDS_/0'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_0_l' 'hl/thm/realax/REAL_ADD_LID_'#@#variant
0. 'coq/Coq_Reals_Rtrigo_calc_sin_lb_ge_0'#@#variant 'hl/thm/Library/transc/TAN_POS_PI2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_glb_lt' 'hl/thm/Library/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftr_shiftr' 'hl/thm/Library/prime/EXP_EXP_'
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_add_r' 'hl/thm/Library/integer/INT_DIVIDES_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_lt_mono_pos_l'#@#variant 'hl/thm/Library/analysis/REAL_LE_LMUL_LOCAL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_ge_cases' 'hl/thm/int/INT_LTE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_min_l' 'hl/thm/real/REAL_MIN_MIN_/0'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tred_factor1_stable' 'hl/thm/Library/multiplicative/MULTIPLICATIVE_SIGMA_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_add_simpl_l_l' 'hl/thm/arith/SUB_ADD_LCANCEL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_cancel_l' 'hl/thm/arith/EQ_ADD_LCANCEL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_le_mono_l_iff' 'hl/thm/Library/integer/INT_DIVIDES_RMUL2_EQ_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_cancel_l' 'hl/thm/arith/LT_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_pos_l'#@#variant 'hl/thm/real/REAL_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_min_r' 'hl/thm/Library/prime/INDEX_TRIVIAL_BOUND_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div2_nonneg'#@#variant 'hl/thm/Library/transc/ATN_POS_LT_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_asymm' 'hl/thm/real/REAL_LT_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_1_mul_pos'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_LE_1_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lcm_0_r' 'hl/thm/Library/pocklington/ORDER_1_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sub_le_mono_r' 'hl/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_neq_succ_0' 'hl/thm/arith/FACT_NZ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_0_r'#@#variant 'hl/thm/arith/EXP_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_square_spec' 'hl/thm/Library/analysis/REAL_DOUBLE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_pos'#@#variant 'hl/thm/Library/pratt/PHI_LOWERBOUND_2_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_pos'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_POS_LE_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_div2_double' 'hl/thm/Library/transc/LN_EXP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_div2_double'#@#variant 'hl/thm/Library/transc/LN_EXP_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_le_mono_r' 'hl/thm/arith/LE_ADD_RCANCEL_'
0. 'coq/Coq_ZArith_BinInt_Z_max_le_compat_r' 'hl/thm/arith/EXP_MONO_LE_IMP_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_divide_r' 'hl/thm/Library/prime/INDEX_TRIVIAL_BOUND_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_lub_iff' 'hl/thm/int/INT_MAX_LT_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_shuffle3' 'hl/thm/arith/MULT_AC_2'
0. 'coq/Coq_NArith_BinNat_N_le_neq' 'hl/thm/arith/LT_LE_'
0. 'coq/Coq_Reals_R_Ifp_base_fp/1' 'hl/thm/calc_num/ARITH_82'
0. 'coq/Coq_ZArith_BinInt_Z_land_m1_l'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_double_plus_one' 'hl/thm/int/int_neg_th_'
0. 'coq/Coq_ZArith_BinInt_Z_add_pos_nonneg'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_LE_1_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_nlt_ge' 'hl/thm/int/INT_NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lxor_lnot_lnot' 'hl/thm/arith/SUB_SUC_'
0. 'coq/Coq_Reals_R_Ifp_base_fp/0' 'hl/thm/calc_num/ARITH_82'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_1_l' 'hl/thm/int/INT_ADD_LID_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_quot_0_l' 'hl/thm/arith/MOD_0_'#@#variant
0. 'coq/Coq_Reals_Rtopology_open_set_P3' 'hl/thm/Multivariate/realanalysis/REAL_CLOSED_INTER_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_pos'#@#variant 'hl/thm/Library/floor/INTEGER_ABS_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_glb_lt_iff' 'hl/thm/real/REAL_LT_MIN_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_divide_cancel_r' 'hl/thm/Library/prime/DIVIDES_EXP2_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_asymm' 'hl/thm/int/INT_LT_GT_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_of_Q' 'hl/thm/Multivariate/complexes/RE_CX_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_sub_le_add_r' 'hl/thm/real/REAL_LT_ADD_SUB_'
0. 'coq/Coq_Reals_Rtopology_open_set_P2' 'hl/thm/Multivariate/realanalysis/REAL_CLOSED_INTER_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_sub_r' 'hl/thm/Library/prime/DIVIDES_ADD_'
0. 'coq/Coq_ZArith_Zquot_Zquot_opp_l' 'hl/thm/Multivariate/transcendentals/REAL_INV_RPOW_'
0. 'coq/Coq_Arith_Gt_gt_irrefl' 'hl/thm/int/INT_LT_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_le_mono_r_iff'#@#variant 'hl/thm/real/REAL_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_refl' 'hl/thm/realax/REAL_LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_refl' 'hl/thm/realax/TREAL_EQ_REFL_'#@#variant
0. 'coq/Coq_Reals_Rtrigo_calc_sin_PI4'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_1_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_gcd_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_min_l' 'hl/thm/Library/analysis/SUB_LESS_EQ_'
0. 'coq/Coq_ZArith_Zorder_Zmult_le_compat_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LT_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z2Pos_inj_sqrt' 'hl/thm/Complex/complex_transc/CX_CEXP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_eq_add_0' 'hl/thm/arith/ADD_EQ_0_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_succ_not_1' 'hl/thm/Multivariate/transcendentals/REAL_EXP_NZ_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_Nbasic_base_xO'#@#variant 'hl/thm/real/REAL_OF_NUM_SUC_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z2Pos_inj_sqrt' 'hl/thm/Multivariate/transcendentals/CX_TAN_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_le_mono_r' 'hl/thm/realax/NADD_LE_RADD_'
0. 'coq/Coq_Reals_RIneq_Ropp_minus_distr_prime' 'hl/thm/realarith/REAL_NEG_SUB_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div2_succ_double' 'hl/thm/Library/transc/ATN_/2'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sub_le_mono_r' 'hl/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_max_le_compat_l' 'hl/thm/real/REAL_LT_LADD_IMP_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pow_lt_mono_r_iff'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LT_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_le_mono' 'hl/thm/int/INT_LE_NEG2_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_cancel_l' 'hl/thm/Library/analysis/REAL_EQ_LMUL2_'#@#variant
0. 'coq/Coq_QArith_Qminmax_Q_max_lub_r' 'hl/thm/Library/integer/INT_DIVIDES_LMUL2_'
0. 'coq/Coq_NArith_BinNat_N_max_le_compat_r' 'hl/thm/Library/analysis/LESS_MONO_ADD_'
0. 'coq/Coq_ZArith_BinInt_Zpred_succ' 'hl/thm/Multivariate/transcendentals/LOG_EXP_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_pred_l' 'hl/thm/Multivariate/transcendentals/REAL_ABS_RPOW_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_lt_mono_pos_l'#@#variant 'hl/thm/real/REAL_LE_LMUL_EQ_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zplus_lt_compat_r' 'hl/thm/Library/prime/DIVIDES_EXP_'
0. 'coq/Coq_NArith_Ndist_ni_min_inf_l' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_pos'#@#variant 'hl/thm/Library/floor/INTEGER_ABS_'
0. 'coq/Coq_ZArith_BinInt_Z_rem_opp_l_prime' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_LMUL_'
0. 'coq/Coq_QArith_QOrderedType_QOrder_eq_refl' 'hl/thm/int/INT_LE_REFL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_divide_mono_r' 'hl/thm/Library/prime/DIVIDES_MUL_R_'
0. 'coq/Coq_PArith_BinPos_Pos_divide_mul_l' 'hl/thm/Library/integer/INT_DIVIDES_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_0_mul_prime'#@#variant 'hl/thm/arith/LT_MULT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_le_mono_l' 'hl/thm/arith/LT_ADD_LCANCEL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_0_l' 'hl/thm/int/INT_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_sqrt_sqrt_up' 'hl/thm/Multivariate/transcendentals/REAL_EXP_LE_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_pos'#@#variant 'hl/thm/int/INT_SGN_INEQS_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_succ_r' 'hl/thm/arith/SUB_1'
0. 'coq/Coq_PArith_BinPos_Pos_max_le_compat_r' 'hl/thm/Library/prime/DIVIDES_EXP_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_pow_succ_r' 'hl/thm/arith/EXP_1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_2' 'hl/thm/Multivariate/misc/SQRT_0_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_sub_distr_l' 'hl/thm/realax/TREAL_ADD_LDISTRIB_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_total' 'hl/thm/real/REAL_LT_TOTAL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_pow' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_clearbit_spec_prime'#@#variant 'hl/thm/Multivariate/complexes/complex_div_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_le_mono_pos_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LE_EQ_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_nlt' 'hl/thm/Library/analysis/real_le_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_gt_cases' 'hl/thm/realarith/REAL_LTE_TOTAL_'
0. 'coq/Coq_NArith_BinNat_N_add_0_l' 'hl/thm/arith/ADD_CLAUSES_0'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_pos' 'hl/thm/calc_num/ARITH_72'
0. 'coq/Coq_NArith_BinNat_N_add_shuffle3' 'hl/thm/calc_int/REAL_ADD_AC_2'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_divide_iff' 'hl/thm/int/INT_LE_MIN_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_le_mono_r_iff'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LE_EQ_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_div2_neg' 'hl/thm/calc_num/ARITH_60'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_nge' 'hl/thm/int/INT_NOT_LE_'
0. 'coq/Coq_ZArith_BinInt_Z_le_neq' 'hl/thm/int/INT_LT_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftr_div_pow2'#@#variant 'hl/thm/real/REAL_SUB_RNEG_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_neq' 'hl/thm/real/REAL_LT_IMP_NE_'
0. 'coq/Coq_NArith_BinNat_N_mul_divide_cancel_r' 'hl/thm/Library/prime/DIVIDES_EXP2_EQ_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_pred_double_succ' 'hl/thm/calc_num/ARITH_9'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_pos'#@#variant 'hl/thm/Library/pocklington/PHI_LOWERBOUND_1_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_odd_1'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_1_r'#@#variant 'hl/thm/int/INT_MUL_RZERO_'#@#variant
0. 'coq/Coq_ZArith_Znumtheory_Zdivide_Zgcd' 'hl/thm/Library/integer/INT_DIVIDES_SUB_'
0. 'coq/Coq_Bool_Bool_orb_true_iff' 'hl/thm/real/REAL_DIV_EQ_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lcm_0_r' 'hl/thm/calc_int/REAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_eq_le_incl' 'hl/thm/real/REAL_EQ_IMP_LE_'
0. 'coq/Coq_QArith_QArith_base_Qplus_le_r' 'hl/thm/int/INT_LE_LADD_'
0. 'coq/Coq_Numbers_Cyclic_DoubleCyclic_DoubleBase_lt_0_wwB'#@#variant 'hl/thm/Multivariate/complexes/RE_CSQRT_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_lt_mono_pos_r'#@#variant 'hl/thm/real/REAL_LT_RMUL_EQ_'#@#variant
0. 'coq/Coq_FSets_FSetPositive_PositiveSet_eq_refl' 'hl/thm/Library/prime/DIVIDES_REFL_'
0. 'coq/Coq_ZArith_Zeven_Zeven_Sn' 'hl/thm/Multivariate/transcendentals/REAL_EXP_LT_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_le_compat_r' 'hl/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_norm_pos' 'hl/thm/Multivariate/complexes/RE_CNJ_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_0_mul_prime'#@#variant 'hl/thm/arith/ODD_MULT_'
0. 'coq/Coq_NArith_BinNat_N_shiftr_div_pow2'#@#variant 'hl/thm/Complex/complexnumbers/complex_div_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_1_r'#@#variant 'hl/thm/Library/prime/INDEX_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_0_succ' 'hl/thm/Multivariate/transcendentals/ATN_BOUNDS_/0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_glb_lt' 'hl/thm/Complex/cpoly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_lt' 'hl/thm/real/REAL_BOUNDS_LT_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_le_mono_l' 'hl/thm/int/INT_LE_LADD_'
0. 'coq/Coq_NArith_BinNat_N_shiftr_div_pow2'#@#variant 'hl/thm/Complex/complexnumbers/complex_sub_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_succ' 'hl/thm/Multivariate/complexes/CX_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_le_mono' 'hl/thm/arith/FACT_MONO_'
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_triang_inv2' 'hl/thm/int/INT_ABS_SUB_ABS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_divide_mono_l' 'hl/thm/int/INT_LE_LADD_IMP_'
0. 'coq/Coq_ZArith_BinInt_Zplus_succ_r_reverse' 'hl/thm/calc_int/REAL_MUL_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_max_l' 'hl/thm/arith/LE_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_shuffle3' 'hl/thm/Multivariate/complexes/COMPLEX_MUL_AC_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_1_l'#@#variant 'hl/thm/Library/prime/DIVIDES_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_glb' 'hl/thm/Library/prime/DIVIDES_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_quot_pos'#@#variant 'hl/thm/int/INT_LTE_ADD_'#@#variant
0. 'coq/Coq_Bool_Bool_orb_false_l' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_add_cancel_r' 'hl/thm/Library/poly/POLY_DIVIDES_SUB_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_asymm' 'hl/thm/real/REAL_LT_ANTISYM_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_lt' 'hl/thm/int/INT_OF_NUM_LE_'
0. 'coq/Coq_QArith_QArith_base_inject_Z_opp' 'hl/thm/Multivariate/transcendentals/CX_EXP_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lt_trichotomy' 'hl/thm/Library/analysis/LESS_CASES_IMP_'
0. 'coq/Coq_Reals_RIneq_Rplus_ge_compat_l' 'hl/thm/real/REAL_LT_LADD_IMP_'
0. 'coq/Coq_QArith_QArith_base_Qinv_lt_0_compat'#@#variant 'hl/thm/Library/transc/SQRT_POS_LT_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_rem_1_r'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lor_land_distr_l' 'hl/thm/realax/NADD_RDISTRIB_'
0. 'coq/Coq_ZArith_BinInt_Z_max_le_iff' 'hl/thm/int/INT_LT_MAX_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_max_l' 'hl/thm/int/INT_MAX_MAX_/0'
0. 'coq/Coq_QArith_QArith_base_Qplus_0_l'#@#variant 'hl/thm/realax/NADD_ADD_LID_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_pos' 'hl/thm/int/INT_SGN_INEQS_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_wf_0' 'hl/thm/wf/WF_num_'
0. 'coq/Coq_ZArith_Znumtheory_rel_prime_1'#@#variant 'hl/thm/realax/NADD_LE_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_pos'#@#variant 'hl/thm/real/REAL_LE_INV_EQ_'#@#variant
0. 'coq/Coq_QArith_Qminmax_Q_max_le_compat_r' 'hl/thm/Library/integer/INT_DIVIDES_MUL_R_'
0. 'coq/Coq_ZArith_BinInt_Z_abs_opp' 'hl/thm/Multivariate/transcendentals/COS_ABS_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_le_mono' 'hl/thm/Library/floor/FLOOR_MONO_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_pos'#@#variant 'hl/thm/calc_num/ARITH_44'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_cancel_r' 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_ADD_RCANCEL_'
0. 'coq/Coq_ZArith_Zpower_two_power_nat_S'#@#variant 'hl/thm/Multivariate/transcendentals/CX_COS_'#@#variant
0. 'coq/Coq_Arith_Lt_lt_n_S' 'hl/thm/arith/FACT_MONO_'
0. 'coq/Coq_PArith_Pnat_SuccNat2Pos_inj_succ' 'hl/thm/Complex/complexnumbers/CX_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_lt_lin'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_LE_X_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_divide' 'hl/thm/int/INT_OF_NUM_LT_'
0. 'coq/Coq_PArith_BinPos_Pos_gt_lt_iff' 'hl/thm/realax/real_gt_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_le_mono_l' 'hl/thm/arith/LT_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_double_twice'#@#variant 'hl/thm/Library/analysis/REAL_INV_1OVER_'#@#variant
0. 'coq/Coq_QArith_QArith_base_inject_Z_injective' 'hl/thm/realax/NADD_OF_NUM_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_diag' 'hl/thm/real/REAL_MAX_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_eq_cases' 'hl/thm/realarith/REAL_LE_LT_'
0. 'coq/Coq_NArith_BinNat_N_gcd_diag' 'hl/thm/real/REAL_MAX_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_ngt' 'hl/thm/int/INT_NOT_LE_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_1'#@#variant 'hl/thm/nums/ZERO_DEF_'
0. 'coq/Coq_ZArith_BinInt_Zminus_diag_reverse' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_REFL_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_le_min_r' 'hl/thm/real/REAL_MIN_MIN_/1'
0. 'coq/Coq_Reals_Rtrigo_calc_deg_rad' 'hl/thm/Multivariate/transcendentals/LOG_EXP_'
0. 'coq/Coq_ZArith_BinInt_Z_abs_max' 'hl/thm/Library/floor/FRAC_FLOOR_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lcm_1_l' 'hl/thm/realax/HREAL_MUL_LID_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_max_lub_r' 'hl/thm/Library/prime/DIVIDES_LMUL2_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_div_0_l' 'hl/thm/arith/MOD_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_le_iff' 'hl/thm/real/REAL_MIN_LT_'
0. 'coq/Coq_FSets_FSetPositive_PositiveSet_eq_refl' 'hl/thm/Multivariate/misc/GE_REFL_'
0. 'coq/Coq_Reals_Ratan_atan_bound/0'#@#variant 'hl/thm/arith/FACT_LT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_le' 'hl/thm/real/REAL_BOUNDS_LT_'
0. 'coq/Coq_Reals_Rbasic_fun_Rle_abs' 'hl/thm/int/INT_ABS_LE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_lcm_l' 'hl/thm/realax/HREAL_LE_ADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_lt_iff' 'hl/thm/real/REAL_LE_MAX_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ldiff_m1_l'#@#variant 'hl/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_succ_r' 'hl/thm/int/INT_NEG_RMUL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_lub_lt_iff' 'hl/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_0_r'#@#variant 'hl/thm/arith/EXP_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mod_mod' 'hl/thm/arith/MOD_MOD_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftr_div_pow2'#@#variant 'hl/thm/Complex/complexnumbers/complex_div_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_0_l' 'hl/thm/arith/DIV_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_null_iff' 'hl/thm/Multivariate/vectors/SQRT_EQ_0_'#@#variant
0. 'coq/Coq_ZArith_Znumtheory_Zdivide_Zgcd' 'hl/thm/Library/integer/INT_DIVIDES_ADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_add_r' 'hl/thm/realax/HREAL_LE_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_lt_lin' 'hl/thm/Library/transc/LN_LT_X_'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_double'#@#variant 'hl/thm/Multivariate/transcendentals/CX_EXP_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_divide_mono_r' 'hl/thm/Library/prime/LESS_MONO_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_lxor_l' 'hl/thm/Multivariate/transcendentals/REAL_INV_RPOW_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_land_0_r' 'hl/thm/realax/HREAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_shuffle3' 'hl/thm/Multivariate/complexes/COMPLEX_MUL_AC_2'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div2_succ_double' 'hl/thm/Library/transc/ATN_TAN_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_refl' 'hl/thm/Multivariate/misc/GE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_1_l' 'hl/thm/arith/MULT_CLAUSES_2'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lt_asymm' 'hl/thm/int/INT_LT_ANTISYM_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_divide_refl' 'hl/thm/Complex/cpoly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_le' 'hl/thm/int/INT_OF_NUM_LE_'
0. 'coq/Coq_Reals_RIneq_cond_nonpos' 'hl/thm/Multivariate/transcendentals/ARG_/1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_succ_l' 'hl/thm/int/INT_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_le_iff' 'hl/thm/int/INT_MIN_LE_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_eq_le_incl' 'hl/thm/realax/TREAL_EQ_IMP_LE_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_sub_distr' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_LNEG_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_le_lt_mono' 'hl/thm/int/INT_LET_ADD2_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_add_le' 'hl/thm/real/REAL_ABS_TRIANGLE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_2' 'hl/thm/Multivariate/misc/SQRT_0_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_gt_cases' 'hl/thm/real/REAL_NOT_EQ_'
0. 'coq/Coq_ZArith_BinInt_Z_lor_diag' 'hl/thm/int/INT_MAX_ACI_3'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_div2' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_INV_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_max_l' 'hl/thm/int/INT_MAX_MAX_/0'
0. 'coq/Coq_NArith_BinNat_N_pow_0_r'#@#variant 'hl/thm/arith/EXP_0'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_mul' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_TRIANGLE_'
0. 'coq/Coq_ZArith_BinInt_Z_add_opp_r' 'hl/thm/realax/real_div_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_succ' 'hl/thm/Complex/complexnumbers/CX_INV_'
0. 'coq/Coq_ZArith_BinInt_Z_sgn_null_iff' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_EQ_0_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_succ_inj_wd' 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_NEG2_'
0. 'coq/Coq_ZArith_Znat_Zabs2N_inj_succ'#@#variant 'hl/thm/Multivariate/complexes/CSQRT_CX_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_opp' 'hl/thm/Multivariate/transcendentals/CNJ_CTAN_'#@#variant
0. 'coq/Coq_Reals_Rtrigo_calc_cos_PI4'#@#variant 'hl/thm/Library/transc/ATN_1_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rge_refl' 'hl/thm/arith/LE_REFL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_1_l' 'hl/thm/int/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_Arith_Max_max_0_l' 'hl/thm/int/INT_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_irrefl' 'hl/thm/int/INT_LT_REFL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_glb_lt' 'hl/thm/Library/integer/INT_DIVIDES_ADD_'
0. 'coq/Coq_Arith_Lt_lt_n_S' 'hl/thm/Multivariate/transcendentals/ATN_MONO_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_add_lt_sub_r' 'hl/thm/real/REAL_LE_SUB_LADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_carry_reg_l' 'hl/thm/realax/HREAL_ADD_LCANCEL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_odd_sub' 'hl/thm/int/INT_OF_NUM_SUB_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_pos' 'hl/thm/calc_num/ARITH_72'
0. 'coq/Coq_NArith_Ndist_ni_min_idemp' 'hl/thm/real/REAL_MAX_ACI_3'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_pos'#@#variant 'hl/thm/Library/integer/INT_PRIME_NEG_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_le_compat_l' 'hl/thm/realax/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_r' 'hl/thm/Library/analysis/LESS_MONO_ADD_'
0. 'coq/Coq_QArith_Qminmax_Q_min_glb_iff' 'hl/thm/int/INT_LT_MIN_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_le_mono_l' 'hl/thm/realax/NADD_LE_LADD_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_sgn' 'hl/thm/Multivariate/transcendentals/CX_TAN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_nonpos_nonneg'#@#variant 'hl/thm/int/INT_NEG_LE0_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_cancel_r' 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_ADD_RCANCEL_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_square' 'hl/thm/Complex/complex_transc/CX_CSIN_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_neq' 'hl/thm/int/INT_LT_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_odd_2'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant
0. 'coq/Coq_ZArith_Zdiv_Zdiv_0_r' 'hl/thm/realax/HREAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tred_factor0_stable' 'hl/thm/Library/multiplicative/MULTIPLICATIVE_PHI_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_le_mono_r' 'hl/thm/int/INT_LE_RADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_sub_le_add_r' 'hl/thm/Library/analysis/SUB_LEFT_GREATER_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_move_r' 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_SUB_RADD_'
0. 'coq/Coq_QArith_QArith_base_Qnot_lt_le' 'hl/thm/realarith/REAL_LET_TOTAL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_le_incl' 'hl/thm/int/INT_LT_IMP_LE_'
0. 'coq/__constr_Coq_Init_Peano_le_0_1' 'hl/thm/Complex/cpoly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_le_mono' 'hl/thm/Library/floor/FLOOR_MONO_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_eq_0' 'hl/thm/real/REAL_DIV_EQ_0_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_le_succ_diag_r' 'hl/thm/arith/LT_POW2_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_lt_iff' 'hl/thm/real/REAL_MIN_LT_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_red' 'hl/thm/Multivariate/transcendentals/CX_COS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_glb_lt' 'hl/thm/Library/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_setbit_spec_prime'#@#variant 'hl/thm/int/INT_SUB_'
0. 'coq/Coq_ZArith_BinInt_Z_divide_Zpos' 'hl/thm/int/int_lt_'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_double'#@#variant 'hl/thm/int/int_neg_th_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_ge_cases' 'hl/thm/realax/NADD_LE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_cancel_r' 'hl/thm/calc_int/REAL_EQ_ADD_RCANCEL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_lt_trans' 'hl/thm/int/INT_LET_TRANS_'
0. 'coq/Coq_NArith_BinNat_N_mul_lt_mono_pos_l'#@#variant 'hl/thm/Library/analysis/REAL_LE_LMUL_LOCAL_'#@#variant
0. 'coq/Coq_Reals_Rpower_Rpower_Ropp' 'hl/thm/arith/SUB_1'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_le_compat_l' 'hl/thm/int/INT_LE_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_total' 'hl/thm/Library/analysis/LESS_LESS_CASES_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_gt_cases' 'hl/thm/arith/LET_CASES_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_le_mono' 'hl/thm/Multivariate/transcendentals/ATN_MONO_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lcm_1_l' 'hl/thm/arith/ADD_CLAUSES_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_nonneg'#@#variant 'hl/thm/Library/transc/ATN_POS_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_add_diag_r' 'hl/thm/arith/LE_ADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_stepr' 'hl/thm/realarith/REAL_LTE_TRANS_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gt_lt_iff' 'hl/thm/realax/real_ge_'
0. 'coq/Coq_Reals_Rtrigo1_neg_sin' 'hl/thm/Library/transc/COS_PERIODIC_PI_'
0. 'coq/Coq_Init_Peano_plus_Sn_m' 'hl/thm/Multivariate/transcendentals/REAL_ABS_RPOW_'
0. 'coq/Coq_Bool_Bool_orb_negb_r' 'hl/thm/calc_int/REAL_ADD_RINV_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_assoc' 'hl/thm/realax/TREAL_MUL_ASSOC_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_sin_neg' 'hl/thm/Multivariate/transcendentals/ATN_NEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_lt_lin' 'hl/thm/Library/transc/LN_LT_X_'
0. 'coq/Coq_Reals_Rbasic_fun_Ropp_Rmin' 'hl/thm/Library/transc/REAL_EXP_SUB_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_power_norm' 'hl/thm/real/REAL_POW_LT_'#@#variant
0. 'coq/Coq_Reals_Rtopology_open_set_P3' 'hl/thm/Multivariate/realanalysis/REAL_LEBESGUE_MEASURABLE_UNION_'#@#variant
0. 'coq/Coq_Reals_Ranalysis1_continuity_mult' 'hl/thm/iterate/POLYNOMIAL_FUNCTION_o_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_succ_r' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RNEG_'
0. 'coq/Coq_NArith_BinNat_N_le_succ_diag_r' 'hl/thm/int/INT_ABS_LE_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_pos_l'#@#variant 'hl/thm/Library/analysis/REAL_LE_LMUL_LOCAL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_divide_cancel_r' 'hl/thm/Library/prime/DIVIDES_RMUL2_EQ_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Ropp_Rmax' 'hl/thm/Library/transc/REAL_EXP_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_double_spec'#@#variant 'hl/thm/Library/analysis/REAL_INV_1OVER_'#@#variant
0. 'coq/Coq_Reals_Rtopology_open_set_P2' 'hl/thm/Multivariate/realanalysis/REAL_LEBESGUE_MEASURABLE_UNION_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_id' 'hl/thm/real/REAL_MAX_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_sgn' 'hl/thm/real/REAL_SGN_REAL_SGN_'
0. 'coq/Coq_ZArith_Zorder_Zplus_gt_compat_r' 'hl/thm/Library/prime/LESS_MONO_ADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_even_2'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_pow' 'hl/thm/int/INT_MUL_LNEG_'
0. 'coq/Coq_ZArith_BinInt_Z2Pos_inj_sqrt' 'hl/thm/Multivariate/transcendentals/CX_EXP_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zsucc_gt_compat' 'hl/thm/arith/FACT_MONO_'
0. 'coq/Coq_NArith_BinNat_N_lcm_1_l'#@#variant 'hl/thm/realax/HREAL_ADD_LID_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_opp' 'hl/thm/Multivariate/transcendentals/CX_ATN_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_div2' 'hl/thm/Complex/complexnumbers/CX_INV_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_l' 'hl/thm/realax/TREAL_LE_LADD_IMP_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lcm_divide_iff' 'hl/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_NArith_BinNat_N_gcd_greatest' 'hl/thm/Library/integer/INT_DIVIDES_SUB_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_succ_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_1_l'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_mul_comm' 'hl/thm/realax/NADD_MUL_SYM_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_pred_r' 'hl/thm/calc_int/REAL_MUL_RNEG_'
0. 'coq/Coq_ZArith_Znat_Z2N_inj_quot2' 'hl/thm/Multivariate/transcendentals/CX_ATN_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_pred_l' 'hl/thm/Library/floor/FLOOR_/1'
0. 'coq/Coq_ZArith_Zeven_Zeven_Sn' 'hl/thm/Multivariate/transcendentals/LOG_POS_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_setbit_spec_prime'#@#variant 'hl/thm/Complex/complexnumbers/complex_div_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_glb_lt' 'hl/thm/Library/prime/DIVIDES_ADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_pos_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_POS_LT_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zle_0_pos'#@#variant 'hl/thm/Multivariate/complexes/REAL_CX_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lxor_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_xO'#@#variant 'hl/thm/Multivariate/transcendentals/CX_ATN_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_pos' 'hl/thm/calc_num/ARITH_80'
0. 'coq/Coq_ZArith_BinInt_Z_sgn_nonneg'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_POS_LT_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Zpos_eq_iff' 'hl/thm/Multivariate/vectors/LIFT_EQ_'#@#variant
0. 'coq/Coq_Reals_R_Ifp_Int_part_INR' 'hl/thm/int/int_of_num_th_'
0. 'coq/Coq_Reals_RIneq_Rmult_0_r' 'hl/thm/Library/pocklington/ORDER_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_lteq' 'hl/thm/realarith/REAL_LE_LT_'
0. 'coq/Coq_PArith_BinPos_Pos_max_lt_iff' 'hl/thm/int/INT_LT_MAX_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_even_2'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_setbit_spec_prime'#@#variant 'hl/thm/int/INT_SUB_'
0. 'coq/Coq_ZArith_BinInt_Z_add_pred_l' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_le_lin' 'hl/thm/Library/floor/FLOOR_/1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_0_l' 'hl/thm/int/INT_MUL_LID_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_glb_lt' 'hl/thm/Library/prime/DIVIDES_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_0_r' 'hl/thm/Library/pocklington/ORDER_1_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Zpos_eq_iff' 'hl/thm/realax/REAL_OF_NUM_EQ_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_gt' 'hl/thm/real/REAL_OF_NUM_LT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_sqrt_sqrt_up' 'hl/thm/Multivariate/transcendentals/REAL_EXP_LE_X_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_le_mono_nonneg'#@#variant 'hl/thm/Library/analysis/REAL_LE_MUL2V_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_glb' 'hl/thm/Library/integer/INT_DIVIDES_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_1_l'#@#variant 'hl/thm/realax/REAL_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_pos_cancel_r'#@#variant 'hl/thm/Library/floor/INTEGER_SUB_EQ_1'
0. 'coq/Coq_Reals_Rtrigo1_SIN_bound/1' 'hl/thm/Library/transc/ATN_/1'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_nle_gt' 'hl/thm/realarith/REAL_NOT_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_opp_r' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_RNEG_'
0. 'coq/Coq_Reals_Rtrigo1_sin_pos_tech'#@#variant 'hl/thm/Multivariate/transcendentals/TAN_POS_PI2_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_eq_0' 'hl/thm/Complex/complexnumbers/COMPLEX_ENTIRE_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_succ_pred_pos'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_nge' 'hl/thm/int/INT_NOT_LE_'
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_le_mono' 'hl/thm/arith/FACT_MONO_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_max_r' 'hl/thm/arith/LE_ADDR_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_neg'#@#variant 'hl/thm/int/INT_NEG_LT0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_null'#@#variant 'hl/thm/int/INT_SGN_EQ_1'#@#variant
0. 'coq/Coq_Reals_Rfunctions_pow_lt'#@#variant 'hl/thm/int/INT_POW_LT_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_setbit_spec_prime'#@#variant 'hl/thm/Complex/complexnumbers/complex_sub_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_le_mono' 'hl/thm/arith/FACT_MONO_'
0. 'coq/Coq_PArith_BinPos_Pos_min_1_r' 'hl/thm/Library/pocklington/ORDER_1_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_red' 'hl/thm/int/int_sgn_th_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_nle_gt' 'hl/thm/realax/real_lt_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_ldiff' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_r' 'hl/thm/arith/EXP_MONO_LE_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_succ_pred_or' 'hl/thm/Complex/complex_transc/CEXP_CLOG_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_le_compat_r' 'hl/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_lt_mono_l' 'hl/thm/arith/LE_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pred_div2_up' 'hl/thm/Multivariate/complexes/IM_CNJ_'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_xO'#@#variant 'hl/thm/Complex/complex_transc/CX_CCOS_'
0. 'coq/Coq_NArith_BinNat_N_le_max_r' 'hl/thm/real/REAL_MAX_MAX_/1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_lt_mono_l' 'hl/thm/arith/LT_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_sub_1_r' 'hl/thm/arith/ADD1_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_lt_mono_nonneg'#@#variant 'hl/thm/Library/analysis/REAL_LT_MUL2_ALT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_0_l' 'hl/thm/int/INT_ADD_LID_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_sgn' 'hl/thm/Complex/complex_transc/CX_CCOS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_nonneg'#@#variant 'hl/thm/real/REAL_NEG_GT0_'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_T_OMEGA10_stable' 'hl/thm/Library/multiplicative/MULTIPLICATIVE_PHI_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_neq_0_succ' 'hl/thm/nums/IND_SUC_0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_0_l' 'hl/thm/int/INT_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_lteq' 'hl/thm/int/INT_LE_LT_'
0. 'coq/Coq_NArith_BinNat_N_sqrt_lt_lin'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_LE_X_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_opp_min_distr' 'hl/thm/Library/transc/REAL_EXP_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_le_mono_l_iff' 'hl/thm/Library/prime/DIVIDES_RMUL2_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_divide_l' 'hl/thm/int/INT_MIN_MIN_/0'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_lt_add_l' 'hl/thm/Library/integer/INT_DIVIDES_LMUL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_refl' 'hl/thm/realax/NADD_LE_REFL_'
0. 'coq/Coq_QArith_QOrderedType_QOrder_eq_lt' 'hl/thm/arith/LET_TRANS_'
0. 'coq/Coq_Arith_Plus_plus_lt_compat_l' 'hl/thm/realax/TREAL_LE_LADD_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_lt_mono_l' 'hl/thm/int/INT_LT_LADD_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_ge' 'hl/thm/real/REAL_OF_NUM_LT_'
0. 'coq/Coq_PArith_Pnat_Nat2Pos_inj_pred' 'hl/thm/Multivariate/transcendentals/CX_EXP_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rgt_ge' 'hl/thm/realax/TREAL_EQ_IMP_LE_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_id' 'hl/thm/int/INT_MAX_ACI_3'
0. 'coq/Coq_ZArith_BinInt_Z_le_succ_diag_r' 'hl/thm/arith/LT_POW2_REFL_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lcm_1_r' 'hl/thm/arith/SUB_0_/1'
0. 'coq/Coq_QArith_Qminmax_Q_max_assoc' 'hl/thm/realax/NADD_MUL_ASSOC_'
0. 'coq/Coq_ZArith_BinInt_Z_land_0_r' 'hl/thm/calc_int/REAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lt_pred_l' 'hl/thm/Library/floor/FLOOR_/1'
0. 'coq/Coq_PArith_BinPos_Pos_lt_lt_succ' 'hl/thm/Library/analysis/LESS_SUC_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_le_compat_r' 'hl/thm/arith/EXP_MONO_LE_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_lt_succ_r' 'hl/thm/Library/analysis/LESS_SUC_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_divide_iff' 'hl/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_sub' 'hl/thm/real/REAL_OF_NUM_SUB_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_divide_mono_l' 'hl/thm/int/INT_LE_LADD_IMP_'
0. 'coq/Coq_QArith_Qreals_Q2R_opp' 'hl/thm/Complex/complexnumbers/CX_INV_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_le_compat_r' 'hl/thm/Library/prime/LESS_MONO_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_lub_iff' 'hl/thm/int/INT_MAX_LT_'
0. 'coq/Coq_ZArith_Zeven_Zquot2_opp' 'hl/thm/Multivariate/transcendentals/CNJ_CSIN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_succ_l' 'hl/thm/int/INT_NEG_LMUL_'
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_triang_inv2' 'hl/thm/real/REAL_ABS_SUB_ABS_'
0. 'coq/Coq_QArith_QArith_base_Qplus_assoc' 'hl/thm/realax/TREAL_MUL_ASSOC_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_ge_le_iff' 'hl/thm/realax/real_gt_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_null'#@#variant 'hl/thm/real/REAL_SGN_EQ_2'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_le_succ_diag_r' 'hl/thm/int/INT_ABS_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_lteq' 'hl/thm/realarith/REAL_LE_LT_'
0. 'coq/Coq_ZArith_Zorder_Zgt_asym' 'hl/thm/real/REAL_LT_GT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_le_mono' 'hl/thm/Multivariate/transcendentals/ATN_MONO_LT_'
0. 'coq/Coq_Reals_Rtrigo1_sin_ge_0'#@#variant 'hl/thm/Library/transc/SIN_POS_PI_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pred_div2_up' 'hl/thm/int/int_neg_th_'
0. 'coq/Coq_ZArith_BinInt_Z_divide_Zpos' 'hl/thm/realax/HREAL_OF_NUM_LE_'
0. 'coq/Coq_Arith_EqNat_eq_eq_nat' 'hl/thm/real/REAL_EQ_IMP_LE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_succ_l' 'hl/thm/Multivariate/transcendentals/REAL_ABS_RPOW_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_pos'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_POS_LT_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_lt_iff' 'hl/thm/real/REAL_MIN_LE_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_succ' 'hl/thm/int/int_abs_th_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ldiff_diag' 'hl/thm/int/INT_SUB_REFL_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_le_mono' 'hl/thm/Library/transc/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_eq_0' 'hl/thm/arith/MULT_EQ_0_'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_le_lt_iff' 'hl/thm/realax/real_lt_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_refl' 'hl/thm/realax/REAL_LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_1_mul_pos'#@#variant 'hl/thm/int/INT_LTE_ADD_'#@#variant
0. 'coq/Coq_Arith_Min_min_idempotent' 'hl/thm/int/INT_MIN_ACI_3'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_nonneg_r'#@#variant 'hl/thm/real/REAL_LT_RMUL_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_divide_cancel_l' 'hl/thm/Library/prime/DIVIDES_LMUL2_EQ_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_max_le_compat_r' 'hl/thm/Library/prime/LESS_MONO_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_mod' 'hl/thm/arith/MOD_MULT_MOD2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftl_1_l'#@#variant 'hl/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_2' 'hl/thm/Multivariate/transcendentals/TAN_0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_simpl_r' 'hl/thm/real/REAL_SUB_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftl_1_l'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_glb_lt' 'hl/thm/Complex/cpoly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zgt_irrefl' 'hl/thm/int/INT_LT_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_pos'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_POS_LT_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Zopp_mult_distr_r' 'hl/thm/int/INT_NEG_RMUL_'
0. 'coq/Coq_ZArith_BinInt_Z_le_gt_cases' 'hl/thm/int/INT_LTE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div2_nonneg'#@#variant 'hl/thm/Library/integer/INT_PRIME_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_succ_r' 'hl/thm/int/INT_NEG_RMUL_'
0. 'coq/Coq_ZArith_BinInt_Z2Pos_inj_1'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant
0. 'coq/Coq_QArith_QOrderedType_QOrder_le_refl' 'hl/thm/realax/HREAL_LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_odd_1'#@#variant 'hl/thm/Multivariate/complexes/RE_II_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_max_distr' 'hl/thm/Complex/complex_transc/CEXP_ADD_'
0. 'coq/Coq_QArith_QOrderedType_QOrder_eq_le' 'hl/thm/arith/LET_TRANS_'
0. 'coq/Coq_NArith_Nnat_N2Nat_id' 'hl/thm/int/int_abstr_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_pos'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_POS_LT_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_alt_dichotomy' 'hl/thm/realax/HREAL_LE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_shuffle3' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_AC_2'
0. 'coq/Coq_Reals_Rbasic_fun_Rle_min_compat_r' 'hl/thm/realax/NADD_LE_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lxor_0_l' 'hl/thm/arith/MULT_CLAUSES_2'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_max_lub_l' 'hl/thm/Library/prime/DIVIDES_RMUL2_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_pow2'#@#variant 'hl/thm/Library/transc/EXP_LN_'#@#variant
0. 'coq/Coq_FSets_FMapPositive_append_neutral_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant
0. 'coq/Coq_Reals_SeqProp_CV_minus' 'hl/thm/Library/analysis/SEQ_SUB_'
0. 'coq/Coq_fourier_Fourier_util_Rlt_zero_pos_plus1'#@#variant 'hl/thm/nums/NUM_REP_RULES_1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lcm_diag' 'hl/thm/arith/BIT0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_opp' 'hl/thm/real/REAL_ABS_INV_'
0. 'coq/Coq_Arith_Plus_plus_lt_le_compat' 'hl/thm/int/INT_LTE_ADD2_'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_IsTO_lt_total' 'hl/thm/Library/prime/LESS_LESS_CASES_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_add_lt_sub_r' 'hl/thm/int/INT_LT_SUB_RADD_'
0. 'coq/Coq_ZArith_BinInt_Z_land_diag' 'hl/thm/real/REAL_MAX_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_antisym' 'hl/thm/Library/analysis/LESS_EQUAL_ANTISYM_'
0. 'coq/Coq_NArith_BinNat_N_mul_mod_idemp_r' 'hl/thm/arith/MOD_MULT_RMOD_'#@#variant
0. 'coq/Coq_ZArith_Zeven_Zeven_mult_Zeven_l' 'hl/thm/Multivariate/transcendentals/RPOW_POS_LE_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_succ_diag_r' 'hl/thm/int/INT_ABS_LE_'
0. 'coq/Coq_Sets_Powerset_facts_Union_associative' 'hl/thm/Multivariate/vectors/VECTOR_ADD_ASSOC_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_lt_le_mono' 'hl/thm/int/INT_LTE_ADD2_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_lt_mono_l' 'hl/thm/arith/DIV_MONO_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div_same'#@#variant 'hl/thm/real/REAL_DIV_REFL_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qplus_inj_r' 'hl/thm/realax/HREAL_LE_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_1_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_pos'#@#variant 'hl/thm/Library/transc/LN_POS_LT_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_log2_up_pos'#@#variant 'hl/thm/Library/transc/LN_POS_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gt_lt_iff' 'hl/thm/int/INT_GE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_0_l' 'hl/thm/realax/HREAL_ADD_LID_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_min_lt_iff' 'hl/thm/int/INT_MIN_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_lor' 'hl/thm/Library/transc/REAL_EXP_ADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_lt_mono_pos_l'#@#variant 'hl/thm/real/REAL_LE_LMUL_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_sub_succ_r' 'hl/thm/Multivariate/transcendentals/RPOW_NEG_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_factor_l' 'hl/thm/realax/NADD_LE_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_lub_lt_iff' 'hl/thm/int/INT_MAX_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_0_l' 'hl/thm/realarith/REAL_POLY_NEG_CLAUSES_0'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_null_iff' 'hl/thm/int/INT_ABS_ZERO_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_red' 'hl/thm/Complex/complex_transc/CX_CSIN_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lor_eq_0_iff' 'hl/thm/arith/ADD_EQ_0_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_add_lt_mono_r' 'hl/thm/int/INT_LE_RADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sub_le_mono_r' 'hl/thm/Library/prime/LESS_MONO_ADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_pow2'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_LE_'#@#variant
0. 'coq/Coq_Reals_R_Ifp_base_fp/1' 'hl/thm/Multivariate/transcendentals/COS_BOUNDS_/1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_id' 'hl/thm/real/REAL_MAX_ACI_3'
0. 'coq/Coq_ZArith_BinInt_Zplus_succ_r_reverse' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_RMUL_'
0. 'coq/Coq_Reals_R_Ifp_base_fp/0' 'hl/thm/Multivariate/transcendentals/COS_BOUNDS_/1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_add_r' 'hl/thm/Library/prime/DIVIDES_SUB_'
0. 'coq/Coq_Arith_Gt_gt_Sn_O' 'hl/thm/Multivariate/transcendentals/COS_BOUNDS_/1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_neq' 'hl/thm/int/INT_LT_LE_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_glb' 'hl/thm/Library/prime/DIVIDES_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lcm_0_r' 'hl/thm/realax/HREAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_fourier_Fourier_util_Rlt_zero_pos_plus1'#@#variant 'hl/thm/Library/floor/INTEGER_CLOSED_5'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_ge_cases' 'hl/thm/arith/LTE_CASES_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_lt_mono_r_iff'#@#variant 'hl/thm/real/REAL_LE_LMUL_EQ_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zplus_gt_compat_l' 'hl/thm/realax/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_lub_lt_iff' 'hl/thm/real/REAL_MAX_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_le_mono_r' 'hl/thm/realax/NADD_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_le_iff' 'hl/thm/real/REAL_MIN_LE_'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tmult_assoc_reduced_stable' 'hl/thm/Library/multiplicative/MULTIPLICATIVE_TAU_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_nonneg_pos'#@#variant 'hl/thm/int/INT_LET_ADD_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_le_compat_r' 'hl/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sub_cancel_r' 'hl/thm/arith/EQ_ADD_RCANCEL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_eq_0' 'hl/thm/arith/ADD_EQ_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_2' 'hl/thm/Multivariate/transcendentals/TAN_0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_shuffle3' 'hl/thm/int/INT_MUL_AC_2'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pred_div2_up' 'hl/thm/Complex/complex_transc/CX_CCOS_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_divide_mono_l' 'hl/thm/int/INT_LE_LADD_IMP_'
0. 'coq/Coq_Reals_Rminmax_R_min_id' 'hl/thm/int/INT_MAX_ACI_3'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_inj_wd' 'hl/thm/nums/SUC_INJ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_setbit_spec_prime'#@#variant 'hl/thm/realax/real_div_'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_div2' 'hl/thm/Complex/complex_transc/CX_CCOS_'
0. 'coq/Coq_Reals_Rbasic_fun_Rmin_Rgt' 'hl/thm/int/INT_MAX_LT_'
0. 'coq/Coq_Reals_R_sqr_Rsqr_abs' 'hl/thm/int/INT_ABS_NEG_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_succ_l' 'hl/thm/int/INT_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_gt_cases' 'hl/thm/arith/LET_CASES_'
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_greatest' 'hl/thm/Library/integer/INT_DIVIDES_SUB_'
0. 'coq/Coq_Reals_Rminmax_R_min_glb' 'hl/thm/Library/integer/INT_DIVIDES_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_opp_r' 'hl/thm/realax/real_div_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_pos_cancel_r'#@#variant 'hl/thm/Library/floor/INTEGER_SUB_EQ_1'
0. 'coq/Coq_ZArith_BinInt_Z_lnot_lxor_l' 'hl/thm/int/INT_MUL_LNEG_'
0. 'coq/Coq_ZArith_Zorder_Zlt_0_le_0_pred'#@#variant 'hl/thm/Library/transc/REAL_EXP_LT_1_'#@#variant
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_succ' 'hl/thm/Complex/complexnumbers/CX_NEG_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_abs' 'hl/thm/Multivariate/transcendentals/CX_ATN_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_opp' 'hl/thm/Multivariate/transcendentals/CX_ATN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div2_neg' 'hl/thm/calc_num/ARITH_92'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_sqrt' 'hl/thm/Multivariate/transcendentals/CX_SIN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_abs_r' 'hl/thm/Library/integer/INT_DIVIDES_RNEG_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_pos'#@#variant 'hl/thm/Library/transc/ATN_POS_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_lor' 'hl/thm/Complex/complex_transc/CEXP_ADD_'
0. 'coq/Coq_Strings_Ascii_ascii_nat_embedding' 'hl/thm/Complex/complexnumbers/complex_tybij_1'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qplus_le_l' 'hl/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_Arith_Minus_minus_plus' 'hl/thm/arith/ADD_SUB2_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_add_comm' 'hl/thm/realax/TREAL_MUL_SYM_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_neq_succ_0' 'hl/thm/arith/FACT_NZ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_eq_1'#@#variant 'hl/thm/arith/ADD_EQ_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_id' 'hl/thm/real/REAL_MAX_ACI_3'
0. 'coq/Coq_ZArith_Zorder_Zlt_0_le_0_pred'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_POS_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_0_succ' 'hl/thm/Multivariate/transcendentals/ATN_BOUNDS_/0'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_clearbit_spec_prime'#@#variant 'hl/thm/Multivariate/complexes/complex_div_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_1_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_setbit_spec_prime'#@#variant 'hl/thm/real/REAL_SUB_RNEG_'
0. 'coq/Coq_NArith_BinNat_N_mul_divide_mono_r' 'hl/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_log2' 'hl/thm/Multivariate/transcendentals/CX_COS_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_even_sub' 'hl/thm/int/INT_OF_NUM_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_1_l'#@#variant 'hl/thm/Library/integer/INT_DIVIDES_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_even_0' 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_pos_l'#@#variant 'hl/thm/int/INT_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_0_r' 'hl/thm/Library/prime/INDEX_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_alt_dichotomy' 'hl/thm/realax/NADD_LE_TOTAL_'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_E_bits_lt_antirefl' 'hl/thm/int/INT_LT_REFL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_inj_wd' 'hl/thm/nums/IND_SUC_INJ_'
0. 'coq/Coq_Numbers_Cyclic_ZModulo_ZModulo_Ptail_pos'#@#variant 'hl/thm/Multivariate/complexes/REAL_CX_'#@#variant
0. 'coq/Coq_Reals_Rtrigo_def_sin_antisym' 'hl/thm/Multivariate/vectors/SQRT_NEG_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_add_le_sub_r' 'hl/thm/int/INT_LT_SUB_LADD_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_gt' 'hl/thm/int/INT_OF_NUM_LE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftl_mul_pow2'#@#variant 'hl/thm/int/INT_SUB_'
0. 'coq/Coq_PArith_Pnat_SuccNat2Pos_inj_succ' 'hl/thm/int/int_sgn_th_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_lt_lin'#@#variant 'hl/thm/Library/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_le_compat_r' 'hl/thm/Library/prime/DIVIDES_EXP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div_small_iff' 'hl/thm/arith/DIV_EQ_0_'#@#variant
0. 'coq/Coq_Reals_R_sqrt_sqrt_Rsqr_abs' 'hl/thm/calc_num/ARITH_4'
0. 'coq/Coq_ZArith_Zquot_Zquot_Zquot' 'hl/thm/arith/EXP_MULT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_lt_lin'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_LE_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_pred' 'hl/thm/calc_num/ARITH_5'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_nlt' 'hl/thm/realarith/REAL_NOT_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_succ_r_prime' 'hl/thm/arith/MULT_SUC_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_le_lin' 'hl/thm/Library/floor/FLOOR_/1'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_2' 'hl/thm/Multivariate/transcendentals/TAN_0_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_lub_iff' 'hl/thm/int/INT_MAX_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_opp' 'hl/thm/Library/transc/TAN_NEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mod_1_r'#@#variant 'hl/thm/arith/MOD_1_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_l' 'hl/thm/Library/integer/INT_DIVIDES_MUL_L_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_comm' 'hl/thm/realax/TREAL_MUL_SYM_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qinv_le_0_compat'#@#variant 'hl/thm/Library/floor/INTEGER_CLOSED_5'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_sgn' 'hl/thm/Complex/complex_transc/CX_CSIN_'
0. 'coq/Coq_Reals_RIneq_Ropp_minus_distr_prime' 'hl/thm/int/INT_NEG_SUB_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_sub_le_add_r' 'hl/thm/int/INT_LE_SUB_LADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_land_0_r' 'hl/thm/arith/MULT_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_add_lt_sub_r' 'hl/thm/Library/analysis/SUB_LEFT_GREATER_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_pos_nonneg'#@#variant 'hl/thm/int/INT_LTE_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_divide_r' 'hl/thm/Library/prime/INDEX_TRIVIAL_BOUND_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_involutive' 'hl/thm/int/INT_NEGNEG_'
0. 'coq/Coq_PArith_Pnat_Nat2Pos_inj_pred' 'hl/thm/Complex/complexnumbers/CX_NEG_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_pred_sub' 'hl/thm/arith/ADD1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_refl' 'hl/thm/Library/integer/INT_DIVIDES_REFL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_even_1'#@#variant 'hl/thm/Multivariate/complexes/RE_II_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_1_l'#@#variant 'hl/thm/int/INT_MUL_LID_'#@#variant
0. 'coq/Coq_ZArith_Zgcd_alt_fibonacci_pos'#@#variant 'hl/thm/Multivariate/transcendentals/ARG_/0'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_max_r' 'hl/thm/arith/LE_ADDR_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_0_sub'#@#variant 'hl/thm/int/INT_SUB_LE_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_pred_l' 'hl/thm/arith/ADD_CLAUSES_2'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_0_r' 'hl/thm/int/INT_MUL_RZERO_'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_id' 'hl/thm/Complex/complexnumbers/complex_tybij_raw_0'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_le_mono_r' 'hl/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sub_diag' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_lt_mono_r_iff'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LT_EQ_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_rem_opp_opp' 'hl/thm/Library/analysis/ABS_DIV_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rmult_le_0_lt_compat'#@#variant 'hl/thm/Library/analysis/REAL_LE_MUL2V_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_le_mono_l_iff' 'hl/thm/Library/integer/INT_DIVIDES_RMUL2_EQ_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_gcd_greatest' 'hl/thm/Library/prime/DIVIDES_SUB_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_even_0' 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_nonneg' 'hl/thm/Multivariate/transcendentals/ATN_BOUNDS_/0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_ones_equiv'#@#variant 'hl/thm/calc_num/ARITH_4'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_divide_r' 'hl/thm/real/REAL_MIN_MIN_/1'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_cancel_r' 'hl/thm/int/INT_EQ_ADD_RCANCEL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_eq_0' 'hl/thm/real/REAL_DIV_EQ_0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lcm_1_l'#@#variant 'hl/thm/int/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_id' 'hl/thm/real/REAL_MAX_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_pos' 'hl/thm/int/INT_SGN_INEQS_2'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_mul_le_mono_r' 'hl/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_2' 'hl/thm/int/INT_ABS_0_'
0. 'coq/Coq_Reals_RIneq_cond_pos'#@#variant 'hl/thm/Multivariate/transcendentals/ARG_/0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_r' 'hl/thm/Library/prime/DIVIDES_EXP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_clearbit_spec_prime'#@#variant 'hl/thm/real/REAL_SUB_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_involutive' 'hl/thm/calc_int/REAL_NEG_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_nle_gt' 'hl/thm/realax/real_lt_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_lt_mono_nonneg'#@#variant 'hl/thm/real/REAL_LE_MUL2_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_pred_le_mono' 'hl/thm/Library/floor/FLOOR_MONO_'
0. 'coq/Coq_NArith_BinNat_N_mul_divide_mono_l' 'hl/thm/Library/prime/DIVIDES_MUL_L_'
0. 'coq/Coq_Reals_RIneq_pos_INR'#@#variant 'hl/thm/int/INT_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_factor_r' 'hl/thm/int/INT_MAX_MAX_/1'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_double'#@#variant 'hl/thm/Multivariate/transcendentals/CX_COS_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sub_max_distr_l' 'hl/thm/arith/EXP_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_add_cancel_r' 'hl/thm/Complex/cpoly/POLY_DIVIDES_SUB_'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_ge' 'hl/thm/int/INT_OF_NUM_LE_'
0. 'coq/Coq_Reals_SeqProp_CV_minus' 'hl/thm/Library/analysis/SEQ_MUL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_shuffle3' 'hl/thm/realax/HREAL_ADD_AC_2'
0. 'coq/Coq_NArith_BinNat_N_divide_add_r' 'hl/thm/Library/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_le_mono' 'hl/thm/Multivariate/transcendentals/ATN_MONO_LT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_divide_mono_l' 'hl/thm/Library/prime/DIVIDES_MUL_L_'
0. 'coq/Coq_ZArith_Zpower_two_power_nat_S'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_INV_'
0. 'coq/Coq_PArith_BinPos_Pos_add_succ_l' 'hl/thm/calc_int/REAL_MUL_LNEG_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_divide_lcm_l' 'hl/thm/real/REAL_MAX_MAX_/0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_lt_mono'#@#variant 'hl/thm/Library/analysis/REAL_LE_MUL2V_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gt_lt_iff' 'hl/thm/int/INT_GT_'
0. 'coq/Coq_ZArith_BinInt_Z_ge_le_iff' 'hl/thm/arith/GE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_divide_l' 'hl/thm/int/INT_MIN_MIN_/0'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_sub_succ_r' 'hl/thm/arith/SUB_1'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_1_l' 'hl/thm/int/INT_NEG_MINUS1_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_sub' 'hl/thm/arith/ADD_SUB_'
0. 'coq/Coq_Arith_PeanoNat_Nat_max_le_compat_l' 'hl/thm/real/REAL_LT_LADD_IMP_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lnot_ones' 'hl/thm/realax/REAL_ADD_LINV_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_eq_mul_0' 'hl/thm/realarith/REAL_ENTIRE_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_Zpos' 'hl/thm/int/int_ge_'
0. 'coq/Coq_ZArith_BinInt_Z_add_pred_l' 'hl/thm/Multivariate/transcendentals/REAL_ABS_RPOW_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_log2' 'hl/thm/Complex/complex_transc/CX_CSIN_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_nonneg_l'#@#variant 'hl/thm/int/INT_LE_LMUL_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_pred_succ' 'hl/thm/Library/transc/ATN_/2'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_shuffle3' 'hl/thm/real/REAL_MAX_ACI_2'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_reg_r' 'hl/thm/real/REAL_EQ_RCANCEL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_lt_add_l' 'hl/thm/Library/integer/INT_DIVIDES_LMUL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_add_r' 'hl/thm/Library/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_shuffle3' 'hl/thm/real/REAL_MIN_ACI_2'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_1_l' 'hl/thm/Library/analysis/SUB_OLD_0'
0. 'coq/Coq_ZArith_BinInt_Z_sgn_opp' 'hl/thm/Multivariate/transcendentals/CNJ_CTAN_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_sin_gt_0'#@#variant 'hl/thm/Library/transc/COS_POS_PI2_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_log2_2' 'hl/thm/Library/transc/COS_2_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_eq_0' 'hl/thm/arith/ADD_EQ_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div_le_mono'#@#variant 'hl/thm/real/REAL_LT_RMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_0_sub'#@#variant 'hl/thm/realarith/REAL_SUB_LE_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_opp_inj_wd' 'hl/thm/Multivariate/transcendentals/REAL_EXP_INJ_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_log2_1' 'hl/thm/Library/transc/COS_2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_2' 'hl/thm/Multivariate/transcendentals/ATN_0_'
0. 'coq/Coq_ZArith_Zorder_Zmult_le_compat_r'#@#variant 'hl/thm/real/REAL_LT_RMUL_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pred_div2_up' 'hl/thm/Multivariate/complexes/CX_INV_'#@#variant
0. 'coq/Coq_Reals_RIneq_cond_pos'#@#variant 'hl/thm/realarith/REAL_POS_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_SIN_bound/1' 'hl/thm/Library/floor/FLOOR_FRAC_/2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_ge_cases' 'hl/thm/arith/LE_CASES_'
0. 'coq/Coq_NArith_BinNat_N_min_0_r' 'hl/thm/Library/prime/INDEX_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_lt_succ_r' 'hl/thm/Library/analysis/LESS_SUC_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_xI_succ_xO' 'hl/thm/calc_num/ARITH_9'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div2_nonneg'#@#variant 'hl/thm/Library/floor/INTEGER_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_0_l' 'hl/thm/realax/HREAL_ADD_LID_'#@#variant
0. 'coq/Coq_QArith_Qround_Qceiling_Z' 'hl/thm/Complex/complexnumbers/complex_tybij_raw_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_pos' 'hl/thm/real/REAL_SGN_INEQS_2'#@#variant
0. 'coq/Coq_Init_Peano_pred_Sn' 'hl/thm/Multivariate/transcendentals/CCOS_CACS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_succ_r' 'hl/thm/calc_int/REAL_MUL_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_opp_r' 'hl/thm/Complex/complexnumbers/complex_div_'
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_minus_sym' 'hl/thm/real/REAL_ABS_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_refl' 'hl/thm/int/INT_LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_ge_le_iff' 'hl/thm/arith/GT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_succ_r' 'hl/thm/arith/LT_SUC_LE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_le_compat_l' 'hl/thm/realax/REAL_LE_LADD_IMP_'
0. 'coq/Coq_ZArith_Zgcd_alt_fibonacci_pos'#@#variant 'hl/thm/Library/floor/INTEGER_CLOSED_0'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_lub_iff' 'hl/thm/int/INT_MAX_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_le_mono_r_iff'#@#variant 'hl/thm/real/REAL_LE_LMUL_EQ_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pred_succ' 'hl/thm/Multivariate/transcendentals/CSIN_CASN_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_max_le_compat_l' 'hl/thm/realax/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_sub_le_add_r' 'hl/thm/int/INT_LE_SUB_RADD_'
0. 'coq/Coq_Reals_RIneq_Rplus_ge_gt_compat' 'hl/thm/arith/LET_ADD2_'
0. 'coq/Coq_Init_Peano_mult_n_O' 'hl/thm/arith/MULT_0_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_double'#@#variant 'hl/thm/Library/transc/LN_INV_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_lt_mono_l' 'hl/thm/realax/HREAL_LE_ADD_LCANCEL_'
0. 'coq/Coq_ZArith_BinInt_Z_lnot_involutive' 'hl/thm/calc_int/REAL_NEG_NEG_'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_succ' 'hl/thm/Multivariate/transcendentals/CX_COS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_succ_l' 'hl/thm/calc_int/REAL_MUL_LNEG_'
0. 'coq/Coq_ZArith_BinInt_Z_add_succ_l' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_le_incl' 'hl/thm/int/INT_LT_IMP_LE_'
0. 'coq/Coq_PArith_BinPos_Pos_pred_succ' 'hl/thm/Multivariate/transcendentals/CCOS_CACS_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_le_mono' 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_opp_l' 'hl/thm/int/INT_NEG_LMUL_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_pos'#@#variant 'hl/thm/Multivariate/complexes/REAL_INV_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_land_0_r' 'hl/thm/realax/HREAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_nonneg' 'hl/thm/Multivariate/transcendentals/ATN_BOUNDS_/0'#@#variant
0. 'coq/Coq_Init_Peano_le_n_S' 'hl/thm/Library/transc/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_refl' 'hl/thm/realax/TREAL_EQ_REFL_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_double_size_level' 'hl/thm/Complex/complex_transc/CX_CEXP_'
0. 'coq/Coq_Reals_Ratan_ps_atan_opp' 'hl/thm/Library/transc/TAN_NEG_'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_one_neq_zero' 'hl/thm/Complex/complex_transc/COMPLEX_II_NZ_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_succ_l' 'hl/thm/calc_int/REAL_MUL_LNEG_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_min_l' 'hl/thm/int/INT_MIN_MIN_/0'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_glb' 'hl/thm/Library/integer/INT_DIVIDES_ADD_'
0. 'coq/Coq_ZArith_BinInt_Z_opp_lt_mono' 'hl/thm/int/INT_LT_NEG2_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_1_l'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_sqrt' 'hl/thm/int/int_abs_th_'
0. 'coq/Coq_ZArith_Zsqrt_compat_Zsqrt_plain_is_pos'#@#variant 'hl/thm/Multivariate/vectors/SQRT_POS_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_pos'#@#variant 'hl/thm/Library/pocklington/PHI_LOWERBOUND_2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_simpl_r' 'hl/thm/real/REAL_SUB_ADD_'
0. 'coq/Coq_ZArith_BinInt_Z_le_add_le_sub_r' 'hl/thm/int/INT_LE_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_succ_l' 'hl/thm/arith/ADD_CLAUSES_2'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_le_compat_r' 'hl/thm/Library/prime/DIVIDES_MUL_R_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_lt_iff' 'hl/thm/real/REAL_MIN_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_0_l' 'hl/thm/arith/MULT_CLAUSES_2'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_pred_l' 'hl/thm/Library/pratt/PHI_LIMIT_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sub_diag' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_REFL_'#@#variant
0. 'coq/Coq_ZArith_Znat_Zabs2Nat_id' 'hl/thm/Complex/complexnumbers/complex_tybij_raw_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_lt_iff' 'hl/thm/real/REAL_MIN_LT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_pred' 'hl/thm/Complex/complex_transc/CEXP_NEG_'
0. 'coq/Coq_Arith_PeanoNat_Nat_div_lt_upper_bound' 'hl/thm/arith/LE_LDIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_1_l'#@#variant 'hl/thm/realax/NADD_LE_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_1_l'#@#variant 'hl/thm/realax/REAL_ADD_LID_'#@#variant
0. 'coq/Coq_Reals_R_sqr_Rsqr_abs' 'hl/thm/Library/transc/COS_ABS_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_max_r' 'hl/thm/arith/LE_ADDR_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div_small' 'hl/thm/arith/DIV_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_pos' 'hl/thm/int/INT_SGN_INEQS_3'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftl_mul_pow2'#@#variant 'hl/thm/real/REAL_SUB_RNEG_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_lt_mono_nonneg'#@#variant 'hl/thm/real/REAL_LT_MUL2_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_le_lt_trans' 'hl/thm/int/INT_LET_TRANS_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_pos'#@#variant 'hl/thm/real/REAL_SGN_INEQS_0'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lcm_divide_iff' 'hl/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_Reals_Rtrigo1_sin_gt_0'#@#variant 'hl/thm/Multivariate/transcendentals/SIN_POS_PI2_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_pos_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_POS_LT_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_max_1_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_pos_cancel_r'#@#variant 'hl/thm/int/INT_LT_MUL_EQ_1'#@#variant
0. 'coq/Coq_NArith_BinNat_N_odd_0' 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_le_mono' 'hl/thm/arith/FACT_MONO_'
0. 'coq/Coq_ZArith_BinInt_Z_opp_inj_wd' 'hl/thm/Library/transc/REAL_EXP_INJ_'
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_add_cancel_r' 'hl/thm/Library/prime/DIVIDES_ADD_REVR_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_le_lin'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_LE_X_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_le_mono' 'hl/thm/arith/FACT_MONO_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lcm_0_r' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RZERO_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_null'#@#variant 'hl/thm/int/INT_SGN_EQ_2'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_div2' 'hl/thm/Multivariate/transcendentals/CX_COS_'#@#variant
0. 'coq/Coq_Reals_Rfunctions_R_dist_eq' 'hl/thm/int/INT_SUB_REFL_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_min_le_compat_r' 'hl/thm/Library/prime/DIVIDES_EXP_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_incr' 'hl/thm/Complex/complexnumbers/CX_INV_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_mul_r' 'hl/thm/Library/integer/INT_DIVIDES_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_pos_cancel_l'#@#variant 'hl/thm/Library/floor/INTEGER_SUB_EQ_0'
0. 'coq/Coq_QArith_Qround_Qfloor_resp_le' 'hl/thm/Library/calc_real/REAL_MONO_POW2_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_pred_l' 'hl/thm/int/INT_MUL_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_add_r' 'hl/thm/Library/prime/DIVIDES_SUB_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pow_le_mono_l' 'hl/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_opp' 'hl/thm/Multivariate/transcendentals/COS_NEG_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pred_div2_up' 'hl/thm/Multivariate/transcendentals/CX_SIN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_ge_cases' 'hl/thm/realarith/REAL_LET_TOTAL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_max_r' 'hl/thm/int/INT_MAX_MAX_/1'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_glb_lt_iff' 'hl/thm/real/REAL_LT_MIN_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_divide_mono_r' 'hl/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_succ_r' 'hl/thm/real/REAL_NEG_RMUL_'
0. 'coq/Coq_NArith_BinNat_N_shiftl_mul_pow2'#@#variant 'hl/thm/Complex/complexnumbers/complex_sub_'
0. 'coq/Coq_Reals_Rminmax_R_le_min_r' 'hl/thm/Library/prime/INDEX_TRIVIAL_BOUND_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_reg_l' 'hl/thm/Library/prime/MULT_LCANCEL_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_succ_inj_wd' 'hl/thm/Library/transc/REAL_EXP_INJ_'
0. 'coq/Coq_Arith_Min_min_glb' 'hl/thm/Library/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_factor_l' 'hl/thm/realax/NADD_LE_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_shuffle3' 'hl/thm/real/REAL_MIN_ACI_2'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_le_compat_l' 'hl/thm/realax/REAL_LE_LADD_IMP_'
0. 'coq/Coq_PArith_BinPos_Pos_pred_succ' 'hl/thm/Multivariate/transcendentals/CSIN_CASN_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_pos_nonneg'#@#variant 'hl/thm/realarith/REAL_LTE_ADD_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_pos'#@#variant 'hl/thm/Library/integer/INT_PRIME_ABS_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_lt_mono_pos_r'#@#variant 'hl/thm/real/REAL_LT_RMUL_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_add_lt_sub_r' 'hl/thm/real/REAL_LT_ADD_SUB_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_le_mono' 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Reals_Rtrigo1_tan_neg' 'hl/thm/calc_num/ARITH_6'
0. 'coq/Coq_ZArith_Znat_Nat2Z_is_nonneg'#@#variant 'hl/thm/Library/floor/INTEGER_CLOSED_0'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_lt_mono_r' 'hl/thm/int/INT_LT_RADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_simpl_r' 'hl/thm/int/INT_SUB_ADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_le_compat_r' 'hl/thm/Library/integer/INT_DIVIDES_MUL_R_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pow_lt_mono_r_iff'#@#variant 'hl/thm/real/REAL_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_Reals_ROrderedType_ROrder_not_ge_lt' 'hl/thm/arith/LTE_CASES_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_double_mul' 'hl/thm/Multivariate/transcendentals/RPOW_INV_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_succ_diag_r' 'hl/thm/int/INT_ABS_LE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_sub_l' 'hl/thm/Library/analysis/SUB_LESS_EQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_odd_0' 'hl/thm/Multivariate/complexes/RE_II_'#@#variant
0. 'coq/Coq_Reals_RIneq_pos_INR'#@#variant 'hl/thm/Multivariate/complexes/REAL_CX_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_rem_abs' 'hl/thm/Library/analysis/ABS_DIV_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_add_lt_sub_r' 'hl/thm/real/REAL_LE_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_l' 'hl/thm/real/REAL_LT_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mod_0_l' 'hl/thm/arith/DIV_0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_divide_mono_r' 'hl/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_add_r' 'hl/thm/realax/HREAL_LE_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_lt_mono_nonneg'#@#variant 'hl/thm/real/REAL_LT_MUL2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_0_l' 'hl/thm/realax/HREAL_ADD_LID_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_l' 'hl/thm/realax/NADD_MUL_WELLDEF_LEMMA_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_le_compat_r' 'hl/thm/arith/EXP_MONO_LE_IMP_'
0. 'coq/Coq_QArith_QArith_base_Qle_lt_trans' 'hl/thm/int/INT_LET_TRANS_'
0. 'coq/Coq_NArith_BinNat_N_min_le_compat_r' 'hl/thm/arith/EXP_MONO_LE_IMP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_odd_0' 'hl/thm/Multivariate/complexes/IM_II_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_shuffle3' 'hl/thm/int/INT_MIN_ACI_2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div2_nonneg'#@#variant 'hl/thm/int/INT_SGN_INEQS_1'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mod_divide' 'hl/thm/Library/prime/DIVIDES_MOD_'#@#variant
0. 'coq/Coq_ZArith_Zeven_Zquot2_opp' 'hl/thm/int/INT_SGN_NEG_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_inv_normc' 'hl/thm/Complex/complex_transc/CX_CEXP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_pos'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_POS_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_Ropp' 'hl/thm/Multivariate/transcendentals/COS_NEG_'
0. 'coq/Coq_ZArith_BinInt_Z2Pos_inj_succ'#@#variant 'hl/thm/Multivariate/complexes/CX_SQRT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_le_compat_r' 'hl/thm/realax/NADD_LE_RMUL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_0_iff' 'hl/thm/real/REAL_SGN_INEQS_4'#@#variant
0. 'coq/Coq_ZArith_Znat_Z2Nat_inj_succ'#@#variant 'hl/thm/Multivariate/complexes/CSQRT_CX_'#@#variant
0. 'coq/Coq_ZArith_Zgcd_alt_fibonacci_pos'#@#variant 'hl/thm/Multivariate/complexes/REAL_CX_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_cancel_r' 'hl/thm/arith/EQ_ADD_RCANCEL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_odd_2' 'hl/thm/Multivariate/complexes/IM_II_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_pos' 'hl/thm/int/INT_SGN_INEQS_2'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_odd_1' 'hl/thm/Multivariate/complexes/IM_II_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_opp_r' 'hl/thm/int/INT_NEG_RMUL_'
0. 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_gt_lt_iff' 'hl/thm/int/INT_GE_'
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_l' 'hl/thm/Library/prime/DIVIDES_MUL_L_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_0_mul_prime'#@#variant 'hl/thm/arith/LT_MULT_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lxor_0_l' 'hl/thm/int/INT_ADD_LID_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_lub_lt_iff' 'hl/thm/int/INT_MAX_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_even_spec' 'hl/thm/Multivariate/complexes/real_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_odd_2'#@#variant 'hl/thm/Multivariate/complexes/IM_II_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_odd_0' 'hl/thm/Multivariate/complexes/IM_II_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_le_refl' 'hl/thm/realax/NADD_EQ_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_lt_mono_r_iff'#@#variant 'hl/thm/int/INT_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_0' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant
0. 'coq/Coq_Reals_Rsqrt_def_pow_2_n_infty' 'hl/thm/Library/multiplicative/REAL_MULTIPLICATIVE_MOBIUS_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_le_iff' 'hl/thm/int/INT_MIN_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftr_succ_r' 'hl/thm/arith/SUB_1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_add_le_sub_r' 'hl/thm/int/INT_LE_SUB_RADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_lt_iff' 'hl/thm/real/REAL_MIN_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_le_mono_pos_r'#@#variant 'hl/thm/real/REAL_LE_DIV2_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_odd_0' 'hl/thm/nums/ZERO_DEF_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_le_mono_l' 'hl/thm/int/INT_LE_LADD_'
0. 'coq/Coq_Arith_Plus_plus_lt_compat_l' 'hl/thm/realax/NADD_LE_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pred_succ' 'hl/thm/Multivariate/transcendentals/CSIN_CASN_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_mul_r' 'hl/thm/Library/prime/DIVIDES_LMUL_'
0. 'coq/Coq_NArith_BinNat_N_pos_pred_succ' 'hl/thm/Complex/complexnumbers/complex_tybij_raw_0'#@#variant
0. 'coq/Coq_QArith_Qpower_Qpower_pos'#@#variant 'hl/thm/Library/floor/INTEGER_POW_'
0. 'coq/Coq_ZArith_BinInt_Z_div2_nonneg'#@#variant 'hl/thm/Library/floor/RATIONAL_INV_EQ_'
0. 'coq/Coq_Reals_Rpower_ln_exp' 'hl/thm/arith/PRE_1'
0. 'coq/Coq_Init_Peano_pred_Sn' 'hl/thm/Multivariate/transcendentals/CSIN_CASN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lcm_divide_iff' 'hl/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_factor_r' 'hl/thm/arith/LE_ADDR_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_1_l' 'hl/thm/arith/LE_0_'
0. 'coq/Coq_NArith_BinNat_N_nle_gt' 'hl/thm/Library/analysis/real_le_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_le_mono_pos_l'#@#variant 'hl/thm/Library/analysis/REAL_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_iff' 'hl/thm/int/INT_OF_NUM_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pred_div2_up' 'hl/thm/Complex/complexnumbers/CX_INV_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_inj_wd' 'hl/thm/calc_num/ARITH_48'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_pos'#@#variant 'hl/thm/Library/floor/FLOOR_POS_LE_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_simpl_r' 'hl/thm/arith/ADD_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_refl' 'hl/thm/Library/integer/INT_DIVIDES_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_land_0_r' 'hl/thm/Library/prime/INDEX_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_square_nonneg'#@#variant 'hl/thm/realarith/REAL_LE_SQUARE_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lcm_divide_iff' 'hl/thm/real/REAL_MAX_LT_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_nlt_ge' 'hl/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_0_l' 'hl/thm/int/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lcm_0_r' 'hl/thm/arith/MULT_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_quot_le_mono'#@#variant 'hl/thm/Library/analysis/REAL_LE_RMUL_IMP_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_odd_0' 'hl/thm/Multivariate/complexes/IM_II_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_nlt_1_r' 'hl/thm/Library/prime/NOT_LESS_0_'#@#variant
0. 'coq/Coq_NArith_Ndist_ni_min_idemp' 'hl/thm/int/INT_MIN_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_clearbit_spec_prime'#@#variant 'hl/thm/real/REAL_SUB_RNEG_'
0. 'coq/Coq_PArith_BinPos_Ppred_minus' 'hl/thm/arith/ADD1_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lor_0_l' 'hl/thm/realax/REAL_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_add_r' 'hl/thm/int/INT_MAX_MAX_/0'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_double_mul' 'hl/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_succ_diag_r' 'hl/thm/Library/analysis/LESS_EQ_SUC_REFL_'
0. 'coq/Coq_Reals_Rtrigo1_sin_neg' 'hl/thm/Multivariate/transcendentals/TAN_NEG_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_0_l' 'hl/thm/realax/REAL_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_pos' 'hl/thm/int/INT_SGN_INEQS_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_1_succ' 'hl/thm/Multivariate/transcendentals/ATN_BOUNDS_/0'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_ge_cases' 'hl/thm/realax/REAL_LE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_le_compat_r' 'hl/thm/Library/prime/LESS_MONO_ADD_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_trichotomy' 'hl/thm/Library/prime/LESS_LESS_CASES_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_even_2'#@#variant 'hl/thm/Multivariate/complexes/IM_II_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_nonneg'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_POS_LT_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lt_nge' 'hl/thm/int/INT_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_glb' 'hl/thm/Library/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_gcd_divide_l' 'hl/thm/Library/analysis/SUB_LESS_EQ_'
0. 'coq/Coq_Reals_Rfunctions_pow_lt'#@#variant 'hl/thm/Library/floor/RATIONAL_CLOSED_6'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_ones_equiv'#@#variant 'hl/thm/calc_num/ARITH_4'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_0_iff' 'hl/thm/int/INT_SGN_INEQS_4'#@#variant
0. 'coq/Coq_Reals_RIneq_Ropp_mult_distr_r' 'hl/thm/arith/ADD_SUC_'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_succ' 'hl/thm/Complex/complex_transc/CX_CEXP_'
0. 'coq/Coq_NArith_BinNat_N_even_1'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant
0. 'coq/Coq_Reals_Rfunctions_Rpow_mult_distr' 'hl/thm/real/REAL_POW_DIV_'
0. 'coq/Coq_Arith_Max_le_max_l' 'hl/thm/arith/LE_ADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_1' 'hl/thm/realax/NADD_INV_0_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_le_nlt' 'hl/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_shuffle3' 'hl/thm/real/REAL_MIN_ACI_2'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_glb_lt_iff' 'hl/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_Reals_Rminmax_R_max_lub_l' 'hl/thm/Library/prime/DIVIDES_RMUL2_'
0. 'coq/Coq_NArith_BinNat_N_land_0_r' 'hl/thm/int/INT_MUL_RZERO_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sub_max_distr_l' 'hl/thm/arith/EXP_ADD_'
0. 'coq/Coq_NArith_BinNat_N_even_0' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_opp_opp' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_MUL2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ldiff_land' 'hl/thm/real/REAL_SUB_RNEG_'
0. 'coq/Coq_Arith_Lt_lt_n_S' 'hl/thm/Multivariate/vectors/SQRT_MONO_LT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_pos'#@#variant 'hl/thm/real/REAL_SGN_INEQS_0'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_sub_lt_add_r' 'hl/thm/int/INT_LT_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_le_mono_r' 'hl/thm/int/INT_LT_RADD_'
0. 'coq/Coq_ZArith_BinInt_Z_div2_nonneg' 'hl/thm/int/INT_SGN_INEQS_3'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_pos'#@#variant 'hl/thm/Library/transc/ATN_POS_LT_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_divide_cancel_r' 'hl/thm/Library/prime/DIVIDES_RMUL2_EQ_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rmin_r' 'hl/thm/real/REAL_MIN_MIN_/1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_max_l' 'hl/thm/real/REAL_MAX_MAX_/0'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_le_mono' 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_opp' 'hl/thm/real/REAL_SGN_NEG_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_opp_norm' 'hl/thm/real/REAL_LT_INV_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_le_succ_diag_r' 'hl/thm/int/INT_ABS_LE_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_succ' 'hl/thm/Complex/complexnumbers/CX_INV_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_eq_0' 'hl/thm/Complex/complexnumbers/COMPLEX_ENTIRE_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_opp_l' 'hl/thm/Library/integer/INT_DIVIDES_LABS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_eq_0' 'hl/thm/realarith/REAL_ENTIRE_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Ropp_Rmax' 'hl/thm/Library/transc/REAL_EXP_SUB_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_wf_0' 'hl/thm/Library/analysis/DORDER_NGE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_div_lt_upper_bound' 'hl/thm/arith/LE_LDIV_'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_mult_lt_compat_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_ge_cases' 'hl/thm/arith/LE_CASES_'
0. 'coq/Coq_PArith_BinPos_Pos_add_cancel_r' 'hl/thm/int/INT_EQ_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lcm_divide_iff' 'hl/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_omega_OmegaLemmas_Zred_factor2'#@#variant 'hl/thm/arith/EXP_1'
0. 'coq/Coq_Reals_Rminmax_R_le_max_l' 'hl/thm/realax/HREAL_LE_ADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_min_0_r' 'hl/thm/realax/HREAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_sgn' 'hl/thm/int/INT_SGN_ABS_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_lub_lt_iff' 'hl/thm/int/INT_MAX_LT_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_le_mono' 'hl/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_pred_double_spec' 'hl/thm/calc_num/ARITH_4'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_pow' 'hl/thm/Multivariate/transcendentals/REAL_ABS_RPOW_'
0. 'coq/Coq_Reals_Rtrigo1_tan_neg' 'hl/thm/real/REAL_SGN_NEG_'
0. 'coq/Coq_ZArith_Znat_Zabs_N_nat' 'hl/thm/int/int_of_num_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_involutive' 'hl/thm/Multivariate/complexes/COMPLEX_INV_INV_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_succ' 'hl/thm/Multivariate/transcendentals/ATN_TAN_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_succ_diag_r' 'hl/thm/Library/analysis/LESS_SUC_REFL_'
0. 'coq/Coq_QArith_QArith_base_Qmult_le_l'#@#variant 'hl/thm/Library/analysis/REAL_LE_LMUL_LOCAL_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_sqrt' 'hl/thm/int/int_neg_th_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_id' 'hl/thm/real/REAL_MAX_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_null_iff' 'hl/thm/real/REAL_SGN_INEQS_9'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_le_incl' 'hl/thm/realax/TREAL_EQ_IMP_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_1_l' 'hl/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_0_r' 'hl/thm/Library/prime/INDEX_0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_mul_r' 'hl/thm/Library/integer/INT_DIVIDES_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_refl' 'hl/thm/Complex/cpoly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_0_l' 'hl/thm/realax/HREAL_ADD_LID_'#@#variant
0. 'coq/Coq_Sets_Powerset_facts_Union_commutative' 'hl/thm/Multivariate/vectors/VECTOR_ADD_AC_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_lcm_l' 'hl/thm/real/REAL_MAX_MAX_/0'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_lt_lin'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_LT_X_'#@#variant
0. 'coq/Coq_ZArith_Znat_Z2N_inj_pred' 'hl/thm/Multivariate/transcendentals/CX_SIN_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_SIN_bound/1' 'hl/thm/Library/transc/COS_BOUNDS_/1'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_le_compat_r' 'hl/thm/realax/NADD_LE_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_le_incl' 'hl/thm/realax/TREAL_EQ_IMP_LE_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_land_m1_l'#@#variant 'hl/thm/int/INT_ADD_LID_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_le_compat_r' 'hl/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_lnot_diag'#@#variant 'hl/thm/calc_int/REAL_ADD_RINV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_0_l' 'hl/thm/int/INT_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_pred_l' 'hl/thm/int/INT_MUL_LNEG_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_land' 'hl/thm/Multivariate/transcendentals/REAL_EXP_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lor_diag' 'hl/thm/int/INT_MIN_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_total' 'hl/thm/arith/LT_CASES_'
0. 'coq/Coq_NArith_BinNat_N_le_sub_le_add_r' 'hl/thm/Library/analysis/SUB_LEFT_GREATER_EQ_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_le_mono_r' 'hl/thm/int/INT_LT_RADD_'
0. 'coq/Coq_NArith_BinNat_N_shiftr_div_pow2'#@#variant 'hl/thm/int/INT_SUB_'
0. 'coq/Coq_ZArith_BinInt_Z_min_id' 'hl/thm/real/REAL_MAX_ACI_3'
0. 'coq/Coq_ZArith_BinInt_Z_shiftl_opp_r' 'hl/thm/int/INT_SUB_'
0. 'coq/Coq_PArith_BinPos_Pos_le_lt_trans' 'hl/thm/int/INT_LET_TRANS_'
0. 'coq/Coq_ZArith_BinInt_Z_add_succ_l' 'hl/thm/arith/ADD_CLAUSES_2'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_0_iff' 'hl/thm/real/REAL_INV_EQ_1_'#@#variant
0. 'coq/Coq_Reals_Ratan_atan_right_inv' 'hl/thm/Multivariate/transcendentals/LOG_EXP_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_xO'#@#variant 'hl/thm/Complex/complex_transc/CX_CSIN_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_diag' 'hl/thm/real/REAL_MUL_2_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_cancel_r' 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_ADD_RCANCEL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_gcd_comm' 'hl/thm/realax/TREAL_ADD_SYM_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sub_le_mono_r' 'hl/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_lt_not_gt' 'hl/thm/int/INT_LT_GT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_opp_r' 'hl/thm/real/REAL_SUB_RNEG_'
0. 'coq/Coq_Reals_ROrderedType_ROrder_le_refl' 'hl/thm/int/INT_LE_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_add_le_mono_l' 'hl/thm/arith/LT_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_glb_lt' 'hl/thm/Library/integer/INT_DIVIDES_SUB_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_0_r' 'hl/thm/int/INT_MUL_RZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_antisym' 'hl/thm/Library/analysis/LESS_EQUAL_ANTISYM_'
0. 'coq/Coq_ZArith_Zlogarithm_log_inf_le_log_sup' 'hl/thm/Library/analysis/POW_2_LT_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_lt' 'hl/thm/int/INT_OF_NUM_GT_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_eq_le_incl' 'hl/thm/arith/LT_IMP_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_pos' 'hl/thm/int/INT_SGN_INEQS_3'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_even_opp' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_NEG_'
0. 'coq/Coq_ZArith_Znat_Z2Nat_inj_pred' 'hl/thm/Multivariate/transcendentals/CX_TAN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_nlt_ge' 'hl/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_neg'#@#variant 'hl/thm/int/INT_NEG_LE0_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_le_mono_nonneg_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_pos_r'#@#variant 'hl/thm/real/REAL_LT_DIV2_EQ_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_square_spec' 'hl/thm/arith/MULT_2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_pos_l'#@#variant 'hl/thm/real/REAL_LE_LMUL_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_square_spec' 'hl/thm/arith/BIT0_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_opp_diag_r' 'hl/thm/calc_int/REAL_ADD_RINV_'#@#variant
0. 'coq/Coq_Reals_Exp_prop_exp_plus' 'hl/thm/Library/transc/REAL_EXP_ADD_'
0. 'coq/Coq_ZArith_Zquot_Zquot_opp_r' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_lt_mono_pos_r'#@#variant 'hl/thm/int/INT_LT_RMUL_EQ_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_1_l' 'hl/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_max_lub_l' 'hl/thm/Library/prime/DIVIDES_RMUL2_'
0. 'coq/Coq_ZArith_BinInt_Z_sgn_opp' 'hl/thm/real/REAL_INV_NEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lnot_0_l' 'hl/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_pos_l'#@#variant 'hl/thm/Library/analysis/REAL_LE_LMUL_LOCAL_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_max_lub_r' 'hl/thm/Library/prime/DIVIDES_LMUL2_'
0. 'coq/Coq_Reals_Rbasic_fun_Rmax_r' 'hl/thm/arith/LE_ADDR_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_mul_r' 'hl/thm/Library/integer/INT_DIVIDES_LMUL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_succ_diag_r' 'hl/thm/Library/analysis/LESS_EQ_SUC_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_pos'#@#variant 'hl/thm/Library/transc/LN_POS_LT_'#@#variant
0. 'coq/__constr_Coq_Init_Peano_le_0_1' 'hl/thm/int/INT_LE_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_abs_0_iff' 'hl/thm/real/REAL_INV_EQ_0_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_succ_l' 'hl/thm/Multivariate/transcendentals/REAL_ABS_RPOW_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_pos_cancel_r'#@#variant 'hl/thm/int/INT_LT_MUL_EQ_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_div_le_mono' 'hl/thm/arith/DIV_MONO_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_1_l'#@#variant 'hl/thm/int/INT_ADD_LID_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_lt_mono_l_iff' 'hl/thm/Library/prime/DIVIDES_RMUL2_EQ_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_sqrt' 'hl/thm/Multivariate/complexes/CX_INV_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qeq_refl' 'hl/thm/realax/HREAL_LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_le_mono_r' 'hl/thm/realax/HREAL_LE_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_shuffle3' 'hl/thm/arith/MULT_AC_2'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_mod' 'hl/thm/arith/MOD_MULT_MOD2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pos_pred_succ' 'hl/thm/int/int_abstr_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_eq_mul_0' 'hl/thm/int/INT_ENTIRE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_rem' 'hl/thm/arith/MOD_ADD_MOD_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_add_lt_mono_l' 'hl/thm/real/REAL_LT_LADD_'
0. 'coq/Coq_Reals_Ratan_Ropp_div' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_LMUL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_refl' 'hl/thm/realax/TREAL_LE_REFL_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_l' 'hl/thm/int/INT_LE_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_ge_cases' 'hl/thm/realarith/REAL_LET_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lor_0_l' 'hl/thm/realax/REAL_MUL_LID_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_clearbit_spec_prime'#@#variant 'hl/thm/int/INT_SUB_'
0. 'coq/Coq_ZArith_Zorder_Zgt_asym' 'hl/thm/real/REAL_LT_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LE_'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_le_mono' 'hl/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_inj_wd' 'hl/thm/real/REAL_EQ_INV2_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_clearbit_spec_prime'#@#variant 'hl/thm/int/INT_SUB_RNEG_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_lt_mono_pos_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LE_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_inj_wd' 'hl/thm/nums/SUC_INJ_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_divide_mul_r' 'hl/thm/Library/integer/INT_DIVIDES_LMUL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_mul_r' 'hl/thm/Library/integer/INT_DIVIDES_LMUL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_le_lin'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_LE_X_'#@#variant
0. 'coq/Coq_ZArith_Zquot_Zquot_0_r' 'hl/thm/calc_int/REAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_inj_wd' 'hl/thm/real/REAL_EQ_NEG2_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_1_l'#@#variant 'hl/thm/int/INT_NEG_MINUS1_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_succ_inj_wd' 'hl/thm/Library/prime/CANCEL_TIMES2_'#@#variant
0. 'coq/Coq_Arith_Mult_mult_lt_compat_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_simpl_r' 'hl/thm/int/INT_SUB_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_lt_mono_pos_l'#@#variant 'hl/thm/Library/analysis/REAL_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_2' 'hl/thm/Multivariate/transcendentals/ATN_0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_cancel_l' 'hl/thm/realax/HREAL_EQ_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_lub_iff' 'hl/thm/int/INT_MAX_LT_'
0. 'coq/Coq_Bool_Bool_orb_diag' 'hl/thm/int/INT_MIN_ACI_3'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_add_lt_sub_r' 'hl/thm/real/REAL_LT_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_nonneg_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LE_'#@#variant
0. 'coq/Coq_Reals_Rfunctions_R_dist_eq' 'hl/thm/real/REAL_SUB_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_pos_l'#@#variant 'hl/thm/Library/analysis/REAL_LE_LMUL_LOCAL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_shuffle3' 'hl/thm/int/INT_MIN_ACI_2'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_divide_mono_r' 'hl/thm/Library/integer/INT_DIVIDES_MUL_R_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_greatest' 'hl/thm/Library/prime/DIVIDES_SUB_'
0. 'coq/Coq_Reals_R_sqrt_sqrt_Rsqr_abs' 'hl/thm/calc_num/ARITH_9'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_le' 'hl/thm/int/INT_OF_NUM_GT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_min_r' 'hl/thm/real/REAL_MIN_MIN_/1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_lt_mono_l' 'hl/thm/arith/DIV_MONO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sub_le_mono_r' 'hl/thm/Library/prime/LESS_MONO_ADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_add_r' 'hl/thm/arith/EXP_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_even_1'#@#variant 'hl/thm/nums/ZERO_DEF_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_double'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_INV_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_abs_0_iff' 'hl/thm/int/INT_SGN_INEQS_4'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_pred_l' 'hl/thm/arith/ADD_CLAUSES_2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ldiff_m1_r'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_log2_log2_up' 'hl/thm/Multivariate/transcendentals/REAL_EXP_LE_X_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_diag' 'hl/thm/real/REAL_MAX_ACI_3'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_glb' 'hl/thm/Library/integer/INT_DIVIDES_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_neg_pos'#@#variant 'hl/thm/int/INT_NEG_LE0_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qle_refl' 'hl/thm/arith/LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_pos'#@#variant 'hl/thm/Multivariate/vectors/SQRT_LE_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_succ_min_distr' 'hl/thm/real/REAL_ABS_TRIANGLE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_l' 'hl/thm/real/REAL_LT_LADD_IMP_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pred_succ' 'hl/thm/Multivariate/transcendentals/ATN_TAN_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_lt_iff' 'hl/thm/real/REAL_MIN_LE_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_xO_r' 'hl/thm/int/INT_MUL_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_min_r' 'hl/thm/real/REAL_MIN_MIN_/1'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_eq_0' 'hl/thm/real/REAL_DIV_EQ_0_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_abs_IZR' 'hl/thm/int/int_neg_th_'
0. 'coq/Coq_Reals_Rpower_exp_increasing' 'hl/thm/Multivariate/vectors/SQRT_MONO_LT_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_alt_dichotomy' 'hl/thm/realax/REAL_LE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_rem_0_l' 'hl/thm/arith/MOD_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_le_lin' 'hl/thm/Library/pratt/PHI_LIMIT_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_pos'#@#variant 'hl/thm/Library/floor/RATIONAL_INV_EQ_'
0. 'coq/Coq_Reals_Rfunctions_pow_le'#@#variant 'hl/thm/real/REAL_POW_LE_1_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ge_le_iff' 'hl/thm/int/INT_GE_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_log2' 'hl/thm/Multivariate/transcendentals/CX_ATN_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mod_1_r'#@#variant 'hl/thm/arith/EXP_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_le_mono_l' 'hl/thm/arith/LT_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_le_mono' 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_QArith_QArith_base_Qmult_lt_compat_r'#@#variant 'hl/thm/Library/analysis/REAL_LE_RMUL_IMP_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_r' 'hl/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_land_0_r' 'hl/thm/calc_int/REAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rplus_gt_compat_l' 'hl/thm/Library/integer/INT_DIVIDES_MUL_L_'
0. 'coq/Coq_ZArith_BinInt_Z_sgn_nonpos' 'hl/thm/int/INT_SGN_INEQS_8'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LT_'
0. 'coq/Coq_PArith_BinPos_Pos_add_le_mono_r' 'hl/thm/arith/LT_ADD_RCANCEL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_opp' 'hl/thm/real/REAL_SGN_NEG_'
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_Ropp' 'hl/thm/int/INT_ABS_NEG_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_inj_wd' 'hl/thm/nums/SUC_INJ_'
0. 'coq/Coq_Reals_ROrderedType_ROrder_le_refl' 'hl/thm/realax/NADD_LE_REFL_'
0. 'coq/Coq_PArith_BinPos_Pos_mul_le_mono_l' 'hl/thm/realax/NADD_LE_LADD_'
0. 'coq/Coq_Arith_Le_le_n_S' 'hl/thm/Multivariate/vectors/SQRT_MONO_LE_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_antisym' 'hl/thm/Library/analysis/LESS_EQUAL_ANTISYM_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_div2' 'hl/thm/Complex/complex_transc/CX_CEXP_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_2' 'hl/thm/Library/transc/COS_2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_ldiff_ldiff_l' 'hl/thm/arith/EXP_MULT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_Zpos' 'hl/thm/realax/REAL_OF_NUM_LE_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_succ' 'hl/thm/Complex/complex_transc/CX_CCOS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_nonneg_nonpos'#@#variant 'hl/thm/int/INT_NEG_GE0_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_divide_mono_l' 'hl/thm/realax/NADD_LE_LMUL_'
0. 'coq/Coq_ZArith_BinInt_Z_land_diag' 'hl/thm/int/INT_MIN_ACI_3'
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_1_r'#@#variant 'hl/thm/int/INT_MUL_RZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_0_l' 'hl/thm/int/INT_MUL_LID_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_le_compat_l' 'hl/thm/Library/prime/DIVIDES_MUL_L_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_min_r' 'hl/thm/Library/prime/INDEX_TRIVIAL_BOUND_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_1' 'hl/thm/Library/transc/COS_2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_nonneg_l'#@#variant 'hl/thm/Library/analysis/REAL_LT_LMUL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_1_l' 'hl/thm/arith/MULT_0'
0. 'coq/Coq_NArith_BinNat_N_mod_1_r'#@#variant 'hl/thm/arith/EXP_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_1_r'#@#variant 'hl/thm/realax/HREAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_pred_double_succ' 'hl/thm/nums/BIT1_DEF_'
0. 'coq/Coq_ZArith_BinInt_Z_sgn_opp' 'hl/thm/Multivariate/vectors/SQRT_INV_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftl_opp_r' 'hl/thm/Complex/complexnumbers/complex_div_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_nonneg'#@#variant 'hl/thm/real/REAL_LT_INV_EQ_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pred_succ' 'hl/thm/Library/transc/ATN_TAN_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftr_succ_r' 'hl/thm/arith/SUB_1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_land' 'hl/thm/Complex/complex_transc/CEXP_ADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pow_le_mono_r_iff'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LT_EQ_'#@#variant
0. 'coq/Coq_Reals_Exp_prop_div2_not_R0'#@#variant 'hl/thm/Multivariate/transcendentals/REAL_EXP_LT_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_pos_cancel_r'#@#variant 'hl/thm/int/INT_LT_MUL_EQ_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sub_le_mono_r' 'hl/thm/Library/analysis/LESS_MONO_ADD_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_mul_comm' 'hl/thm/realax/NADD_ADD_SYM_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mod_same' 'hl/thm/arith/MOD_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_pos_l'#@#variant 'hl/thm/real/REAL_LE_LMUL_EQ_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qmult_comm' 'hl/thm/realax/NADD_ADD_SYM_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_divide_mono_r' 'hl/thm/Library/analysis/LESS_MONO_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_total' 'hl/thm/real/REAL_LT_TOTAL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pred_le_mono' 'hl/thm/arith/FACT_MONO_'
0. 'coq/Coq_PArith_BinPos_Pos_mul_1_l' 'hl/thm/realax/REAL_ADD_LID_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_lor'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_DIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_r' 'hl/thm/Library/integer/INT_DIVIDES_MUL_R_'
0. 'coq/Coq_QArith_QArith_base_Qle_refl' 'hl/thm/realax/REAL_LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_sub_le_add_r' 'hl/thm/int/INT_LT_ADD_SUB_'
0. 'coq/Coq_ZArith_BinInt_Z_add_succ_l' 'hl/thm/int/INT_MUL_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sub_diag' 'hl/thm/int/INT_SUB_REFL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_move_0_r' 'hl/thm/int/INT_LNEG_UNIQ_'#@#variant
0. 'coq/Coq_NArith_Ndist_ni_le_refl' 'hl/thm/realax/HREAL_LE_REFL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_r' 'hl/thm/Library/prime/DIVIDES_EXP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div2_div'#@#variant 'hl/thm/arith/ADD1_'#@#variant
0. 'coq/Coq_Reals_Rtrigo_calc_sin_lb_ge_0'#@#variant 'hl/thm/Multivariate/transcendentals/TAN_POS_PI2_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_le_mono_l' 'hl/thm/arith/LT_ADD_LCANCEL_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_1'#@#variant 'hl/thm/Multivariate/complexes/RE_II_'#@#variant
0. 'coq/Coq_ZArith_Znumtheory_Zdivide_opp_r' 'hl/thm/Library/analysis/LESS_SUC_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_odd_2'#@#variant 'hl/thm/Multivariate/complexes/RE_II_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_glb' 'hl/thm/Library/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tred_factor0_stable' 'hl/thm/Library/multiplicative/MULTIPLICATIVE_TAU_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_succ_pred_double' 'hl/thm/calc_num/ARITH_4'
0. 'coq/Coq_Reals_Rtrigo1_COS_bound/1' 'hl/thm/Multivariate/transcendentals/SIN_BOUNDS_/1'#@#variant
0. 'coq/Coq_QArith_QArith_base_Zle_Qle' 'hl/thm/int/int_lt_'
0. 'coq/Coq_PArith_BinPos_Pos_pow_succ_r' 'hl/thm/arith/MULT_SUC_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_is_nonneg'#@#variant 'hl/thm/int/INT_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_pred_r' 'hl/thm/real/REAL_NEG_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_pos'#@#variant 'hl/thm/int/INT_SGN_INEQS_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_inj_wd' 'hl/thm/Library/transc/ATN_INJ_'
0. 'coq/Coq_Reals_Ratan_pow2_abs'#@#variant 'hl/thm/real/REAL_POW2_ABS_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_lt_mono_r' 'hl/thm/realax/HREAL_LE_ADD_RCANCEL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_pow' 'hl/thm/int/INT_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_nonneg'#@#variant 'hl/thm/calc_num/ARITH_44'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mod_le' 'hl/thm/arith/MOD_LE_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_assoc' 'hl/thm/realax/TREAL_ADD_ASSOC_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_pos_r'#@#variant 'hl/thm/real/REAL_LT_RMUL_EQ_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_abs_opp' 'hl/thm/Library/transc/COS_NEG_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_pos'#@#variant 'hl/thm/int/INT_SGN_INEQS_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_opp_opp' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_MUL2_'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_reduce_stable' 'hl/thm/Library/multiplicative/MULTIPLICATIVE_TAU_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_pos' 'hl/thm/calc_num/ARITH_72'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_ngt' 'hl/thm/realarith/REAL_NOT_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sub_le_mono_r' 'hl/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_pos'#@#variant 'hl/thm/int/INT_SGN_INEQS_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_le_compat_l' 'hl/thm/real/REAL_LT_LADD_IMP_'
0. 'coq/Coq_NArith_BinNat_N_gcd_greatest' 'hl/thm/Library/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_xO'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_INV_'
0. 'coq/Coq_Reals_RIneq_Rmult_le_compat'#@#variant 'hl/thm/real/REAL_LE_MUL2_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_le_compat_r' 'hl/thm/realax/NADD_LE_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_shuffle3' 'hl/thm/Multivariate/complexes/COMPLEX_MUL_AC_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_glb' 'hl/thm/Complex/cpoly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Reals_RIneq_Ropp_involutive' 'hl/thm/int/INT_NEGNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_sub_lt_add_r' 'hl/thm/int/INT_LE_SUB_RADD_'
0. 'coq/Coq_Reals_RIneq_Req_le' 'hl/thm/arith/EQ_IMP_LE_'
0. 'coq/Coq_QArith_Qabs_Qabs_Qminus' 'hl/thm/real/REAL_ABS_SUB_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_le_compat_r' 'hl/thm/Library/integer/INT_DIVIDES_MUL_R_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_is_nonneg'#@#variant 'hl/thm/real/REAL_LT_POW2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftl_shiftl' 'hl/thm/Library/prime/EXP_EXP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_0_sub'#@#variant 'hl/thm/int/INT_SUB_LT_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_log2_up_null'#@#variant 'hl/thm/real/REAL_SGN_EQ_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lcm_0_r' 'hl/thm/Library/pocklington/ORDER_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_alt_dichotomy' 'hl/thm/realax/REAL_LE_TOTAL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_glb' 'hl/thm/Library/prime/DIVIDES_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_sub_le_add_r' 'hl/thm/int/INT_LE_SUB_LADD_'
0. 'coq/Coq_NArith_BinNat_N_gcd_0_l' 'hl/thm/realax/HREAL_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_ngt' 'hl/thm/realax/real_lt_'
0. 'coq/Coq_Reals_Rminmax_R_max_le_compat_r' 'hl/thm/Library/prime/DIVIDES_EXP_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_lteq' 'hl/thm/arith/LE_LT_'
0. 'coq/Coq_ZArith_BinInt_Z_sgn_opp' 'hl/thm/real/REAL_ABS_INV_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_gcd_greatest' 'hl/thm/Library/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_pred_succ' 'hl/thm/Multivariate/transcendentals/LOG_EXP_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_m1_0'#@#variant 'hl/thm/Multivariate/transcendentals/PI2_BOUNDS_1'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lxor_0_l' 'hl/thm/arith/MULT_CLAUSES_2'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_lcm_l' 'hl/thm/realax/NADD_LE_ADD_'
0. 'coq/Coq_ZArith_Zpower_Zpower_pos_is_exp' 'hl/thm/Library/analysis/POW_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_le_mono_r' 'hl/thm/arith/LE_ADD_RCANCEL_'
0. 'coq/Coq_QArith_Qcanon_Qcmult_1_l'#@#variant 'hl/thm/arith/MULT_CLAUSES_2'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_pos'#@#variant 'hl/thm/real/REAL_LE_INV_EQ_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_le_compat_l' 'hl/thm/realax/TREAL_LE_LADD_IMP_'#@#variant
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_incr_twice_plus_one' 'hl/thm/Complex/complex_transc/CEXP_NEG_'
0. 'coq/Coq_QArith_Qabs_Qle_Qabs' 'hl/thm/int/INT_ABS_LE_'
0. 'coq/Coq_ZArith_BinInt_Z_divide_add_r' 'hl/thm/Library/integer/INT_DIVIDES_SUB_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftr_div_pow2'#@#variant 'hl/thm/Multivariate/complexes/complex_div_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_divide_mono_l' 'hl/thm/Library/integer/INT_DIVIDES_MUL_L_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_succ_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LNEG_'
0. 'coq/Coq_ZArith_BinInt_Z_divide_Zpos' 'hl/thm/int/int_ge_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_xO'#@#variant 'hl/thm/Multivariate/transcendentals/CX_SIN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div_same'#@#variant 'hl/thm/arith/DIV_REFL_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qplus_comm' 'hl/thm/realax/NADD_MUL_SYM_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_move_r' 'hl/thm/int/INT_EQ_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_cancel_l' 'hl/thm/int/INT_EQ_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_le_lt_mono' 'hl/thm/arith/LET_ADD2_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_trichotomy' 'hl/thm/real/REAL_LT_TOTAL_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_Even_or_Odd' 'hl/thm/arith/EVEN_OR_ODD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_refl' 'hl/thm/int/INT_LE_REFL_'
0. 'coq/Coq_Arith_Plus_plus_lt_compat_r' 'hl/thm/Library/prime/DIVIDES_EXP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_div2_double'#@#variant 'hl/thm/Library/transc/ATN_/2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_add_le_sub_r' 'hl/thm/int/INT_LT_SUB_RADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_le_mono' 'hl/thm/Library/transc/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_div2' 'hl/thm/Complex/complex_transc/CX_CCOS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_le_compat_r' 'hl/thm/Library/prime/DIVIDES_MUL_R_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_divide' 'hl/thm/int/INT_OF_NUM_GE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_ge_le_iff' 'hl/thm/int/INT_GE_'
0. 'coq/Coq_NArith_BinNat_N_min_glb_lt' 'hl/thm/Library/prime/DIVIDES_ADD_'
0. 'coq/Coq_ZArith_BinInt_Zopp_mult_distr_r' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mod_1_r'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pos_pred_succ' 'hl/thm/int/NUM_OF_INT_OF_NUM_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_min' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_TRIANGLE_'
0. 'coq/Coq_Arith_PeanoNat_Nat_even_1'#@#variant 'hl/thm/nums/ZERO_DEF_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_lt_lin'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_LE_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_eq_mul_0' 'hl/thm/realarith/REAL_ENTIRE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_pred_double_spec' 'hl/thm/calc_num/ARITH_9'
0. 'coq/Coq_NArith_BinNat_N_log2_up_lt_lin'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_LT_X_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_le_mono_l' 'hl/thm/int/INT_LE_LADD_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_mod' 'hl/thm/arith/MOD_MULT_MOD2_'#@#variant
0. 'coq/Coq_ZArith_Zeven_Zeven_plus_Zodd' 'hl/thm/int/INT_LET_ADD_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sub_le_mono_r' 'hl/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_succ_r' 'hl/thm/arith/ADD_SUC_'
0. 'coq/Coq_Reals_Rpower_arcsinh_sinh' 'hl/thm/Multivariate/transcendentals/LOG_EXP_'
0. 'coq/Coq_Reals_Ranalysis4_sinh_lt' 'hl/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_cancel_l' 'hl/thm/realax/HREAL_EQ_ADD_LCANCEL_'
0. 'coq/Coq_NArith_BinNat_N_add_lt_mono_r' 'hl/thm/int/INT_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_null_iff' 'hl/thm/Multivariate/vectors/SQRT_EQ_0_'#@#variant
0. 'coq/Coq_Init_Peano_plus_Sn_m' 'hl/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_pow_succ_r' 'hl/thm/arith/MULT_SUC_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_Zpos' 'hl/thm/int/int_le_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_pos'#@#variant 'hl/thm/Library/floor/FLOOR_POS_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_succ_r_prime' 'hl/thm/arith/EXP_1'
0. 'coq/Coq_QArith_QArith_base_Zle_Qle' 'hl/thm/real/REAL_OF_NUM_GT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lor_diag' 'hl/thm/real/REAL_MIN_ACI_3'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_2'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rmin_glb_lt' 'hl/thm/Library/integer/INT_DIVIDES_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_pos'#@#variant 'hl/thm/Library/integer/INT_PRIME_NEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_le_mono_l_iff' 'hl/thm/Library/prime/DIVIDES_RMUL2_EQ_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_le_min_r' 'hl/thm/real/REAL_MIN_MIN_/1'
0. 'coq/Coq_Reals_SeqProp_CV_plus' 'hl/thm/Library/analysis/SEQ_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_le_mono_nonneg_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LE_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_pred_inj_wd' 'hl/thm/Library/transc/ATN_INJ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_nlt_ge' 'hl/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_QArith_Qreduction_Qred_comp' 'hl/thm/Library/transc/ATN_MONO_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_succ_r' 'hl/thm/arith/LE_1'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_shuffle3' 'hl/thm/arith/MULT_AC_2'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftr_div_pow2'#@#variant 'hl/thm/Complex/complexnumbers/complex_sub_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_square_spec' 'hl/thm/arith/BIT0_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_diag' 'hl/thm/arith/SUB_REFL_'#@#variant
0. 'coq/Coq_Bool_Bool_negb_orb' 'hl/thm/Multivariate/transcendentals/REAL_EXP_SUB_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_shuffle3' 'hl/thm/int/INT_MUL_AC_2'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_oppc' 'hl/thm/int/int_neg_th_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div2_nonneg' 'hl/thm/calc_num/ARITH_80'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_lt_mono_l_iff' 'hl/thm/Library/integer/INT_DIVIDES_RMUL2_EQ_'#@#variant
0. 'coq/Coq_ZArith_Zpower_two_p_S'#@#variant 'hl/thm/Library/transc/LN_INV_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_eq_0' 'hl/thm/realarith/REAL_ENTIRE_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_sqrt' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_INV_'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tminus_def_stable' 'hl/thm/Library/multiplicative/MULTIPLICATIVE_PHI_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_nonneg'#@#variant 'hl/thm/Library/floor/INTEGER_NEG_'
0. 'coq/Coq_Arith_PeanoNat_Nat_succ_inj_wd' 'hl/thm/nums/IND_SUC_INJ_'
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_le_mono' 'hl/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_succ_inj_wd' 'hl/thm/calc_num/ARITH_57'
0. 'coq/Coq_ZArith_BinInt_Z_add_opp_r' 'hl/thm/real/REAL_SUB_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_nle_gt' 'hl/thm/arith/NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_pred_le' 'hl/thm/Library/analysis/OR_LESS_'
0. 'coq/Coq_QArith_Qreduction_Qred_opp' 'hl/thm/real/REAL_ABS_SGN_'
0. 'coq/Coq_Arith_Gt_gt_Sn_O' 'hl/thm/Library/floor/FLOOR_FRAC_/2'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_pos_iff'#@#variant 'hl/thm/Library/floor/REAL_FRAC_EQ_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_cancel_r' 'hl/thm/int/INT_EQ_ADD_RCANCEL_'
0. 'coq/Coq_QArith_QArith_base_Qplus_inj_l' 'hl/thm/int/INT_LE_LADD_'
0. 'coq/Coq_Reals_Rtopology_open_set_P3' 'hl/thm/Multivariate/realanalysis/REAL_OPEN_INTER_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lt_1_mul_pos'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_LE_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_refl' 'hl/thm/realax/TREAL_LE_REFL_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_add_succ_r' 'hl/thm/int/INT_MUL_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_le_compat_l' 'hl/thm/Library/prime/DIVIDES_MUL_L_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_le_mono' 'hl/thm/realax/NADD_INV_WELLDEF_'
0. 'coq/Coq_Reals_Rtopology_open_set_P2' 'hl/thm/Multivariate/realanalysis/REAL_OPEN_INTER_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_inj_wd' 'hl/thm/real/REAL_EQ_NEG2_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_cancel_l' 'hl/thm/real/REAL_LT_LADD_'
0. 'coq/Coq_Reals_RIneq_Ropp_div' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_LMUL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_succ_diag_r' 'hl/thm/real/REAL_ABS_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_lt_mono_pos_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LE_EQ_'#@#variant
0. 'coq/Coq_Reals_Exp_prop_div2_not_R0'#@#variant 'hl/thm/Library/pocklington/PHI_LOWERBOUND_2_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_min_l' 'hl/thm/arith/MOD_LT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div2_nonneg'#@#variant 'hl/thm/real/REAL_SGN_INEQS_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_inj_wd' 'hl/thm/nums/SUC_INJ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_square_nonneg'#@#variant 'hl/thm/realarith/REAL_LE_SQUARE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_lt_lin' 'hl/thm/Library/transc/LN_LT_X_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_pos'#@#variant 'hl/thm/Library/floor/REAL_FRAC_ZERO_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_1_r' 'hl/thm/calc_int/REAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_succ_l' 'hl/thm/Multivariate/transcendentals/REAL_ABS_RPOW_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_cancel_l' 'hl/thm/realax/HREAL_EQ_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lxor_0_l' 'hl/thm/arith/MULT_CLAUSES_2'#@#variant
0. 'coq/Coq_PArith_BinPos_Pplus_one_succ_r' 'hl/thm/arith/ADD1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_pos'#@#variant 'hl/thm/Library/floor/RATIONAL_NEG_EQ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftl_opp_r' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_RNEG_'
0. 'coq/Coq_ZArith_Znat_Z2N_inj_div2' 'hl/thm/Multivariate/transcendentals/CX_EXP_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_lub_r' 'hl/thm/Library/integer/INT_DIVIDES_LMUL2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_simpl_r' 'hl/thm/int/INT_SUB_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_pos'#@#variant 'hl/thm/Multivariate/vectors/SQRT_LT_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_1_l' 'hl/thm/realax/HREAL_ADD_LID_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_inv_norm' 'hl/thm/Multivariate/transcendentals/REAL_COS_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_div_le_mono' 'hl/thm/arith/EXP_MONO_LT_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_greatest' 'hl/thm/Library/prime/DIVIDES_SUB_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_lub_iff' 'hl/thm/int/INT_MAX_LT_'
0. 'coq/Coq_Bool_Bool_andb_false_r' 'hl/thm/Library/prime/INDEX_0_'#@#variant
0. 'coq/Coq_ZArith_Znat_Z2N_inj_quot2' 'hl/thm/Complex/complexnumbers/CX_INV_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_le_mono_r' 'hl/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_0_r' 'hl/thm/realax/HREAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_lub_lt_iff' 'hl/thm/real/REAL_MAX_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_mod' 'hl/thm/arith/MOD_ADD_MOD_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zle_0_nat'#@#variant 'hl/thm/Multivariate/complexes/REAL_CX_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_of_Z' 'hl/thm/Complex/complexnumbers/complex_tybij_raw_0'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_1_l' 'hl/thm/arith/MULT_CLAUSES_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_0_l' 'hl/thm/realax/REAL_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_le_mono' 'hl/thm/Library/transc/ATN_MONO_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_le_compat_r' 'hl/thm/Library/prime/LESS_MONO_ADD_'
0. 'coq/Coq_ZArith_Zorder_Zplus_gt_compat_r' 'hl/thm/Library/analysis/LESS_MONO_ADD_'
0. 'coq/Coq_Reals_Rtrigo1_tan_neg' 'hl/thm/real/REAL_ABS_SGN_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_inj_wd' 'hl/thm/calc_num/ARITH_57'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lcm_diag' 'hl/thm/real/REAL_MIN_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_succ_l' 'hl/thm/int/INT_MUL_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_0_r' 'hl/thm/Library/prime/DIVIDES_ONE_'#@#variant
0. 'coq/Coq_Reals_AltSeries_Alt_PI_RGT_0' 'hl/thm/Multivariate/transcendentals/PI2_BOUNDS_1'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_pos_l'#@#variant 'hl/thm/Library/analysis/REAL_LE_LMUL_LOCAL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_lt_mono'#@#variant 'hl/thm/real/REAL_LE_MUL2_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_refl' 'hl/thm/Library/poly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_le_mono_nonneg'#@#variant 'hl/thm/real/REAL_LE_MUL2_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_odd_2'#@#variant 'hl/thm/Multivariate/complexes/RE_II_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_divide_iff' 'hl/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_odd_2'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_glb_iff' 'hl/thm/real/REAL_LT_MIN_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_div2'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_LT_X_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_shiftr_div_pow2'#@#variant 'hl/thm/real/REAL_SUB_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div_same'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_DIV_REFL_'#@#variant
0. 'coq/Coq_QArith_QOrderedType_QOrder_eq_lt' 'hl/thm/int/INT_LET_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_lt_mono_r' 'hl/thm/int/INT_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_0_mul_prime'#@#variant 'hl/thm/arith/ODD_MULT_'
0. 'coq/Coq_Arith_PeanoNat_Nat_even_0' 'hl/thm/Multivariate/complexes/IM_II_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lxor_m1_r'#@#variant 'hl/thm/arith/ADD1_'#@#variant
0. 'coq/Coq_Bool_Bool_negb_prop_intro' 'hl/thm/realarith/REAL_LE_NEGTOTAL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_null'#@#variant 'hl/thm/int/INT_SGN_EQ_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_glb_lt' 'hl/thm/Library/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_eq_mul_0' 'hl/thm/int/INT_ENTIRE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_le_lin' 'hl/thm/Library/pratt/PHI_LIMIT_'
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_divide_iff' 'hl/thm/int/INT_LT_MIN_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_0' 'hl/thm/nums/ZERO_DEF_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_inv_normc' 'hl/thm/Multivariate/transcendentals/CX_SIN_'#@#variant
0. 'coq/Coq_Reals_Exp_prop_exp_pos_pos'#@#variant 'hl/thm/Multivariate/complexes/REAL_INV_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_pred_succ' 'hl/thm/arith/PRE_1'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_nonneg' 'hl/thm/Multivariate/transcendentals/ATN_BOUNDS_/0'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_le_compat_l' 'hl/thm/realax/NADD_LE_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_div_mul' 'hl/thm/Complex/complexnumbers/COMPLEX_DIV_RMUL_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_refl' 'hl/thm/realax/NADD_EQ_REFL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_involutive' 'hl/thm/Complex/complexnumbers/CNJ_CNJ_'
0. 'coq/Coq_Reals_Rpower_Rpower_mult' 'hl/thm/arith/EXP_MULT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_log2' 'hl/thm/Complex/complexnumbers/CX_NEG_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_opp_l' 'hl/thm/Library/integer/INT_DIVIDES_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_nonpos' 'hl/thm/real/REAL_SGN_INEQS_8'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_pow_succ_r' 'hl/thm/arith/MULT_SUC_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_divide_mono_l' 'hl/thm/realax/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_le_mono_l' 'hl/thm/real/REAL_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_le_mono_nonneg_r'#@#variant 'hl/thm/real/REAL_LT_RMUL_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_nlt' 'hl/thm/Library/analysis/real_le_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_min_r' 'hl/thm/Library/prime/INDEX_TRIVIAL_BOUND_'
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_le_mono' 'hl/thm/Library/floor/FLOOR_MONO_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_1_l' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_lt_mono_l' 'hl/thm/realax/HREAL_LE_ADD_LCANCEL_'
0. 'coq/Coq_PArith_BinPos_Pos_pred_succ' 'hl/thm/Multivariate/transcendentals/LOG_EXP_'
0. 'coq/Coq_ZArith_BinInt_Z_divide_Zpos' 'hl/thm/realax/TREAL_OF_NUM_LE_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_gcd_0_l' 'hl/thm/realarith/REAL_POLY_NEG_CLAUSES_0'#@#variant
0. 'coq/Coq_NArith_BinNat_N_double_mul' 'hl/thm/Multivariate/transcendentals/RPOW_INV_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_lnot_diag'#@#variant 'hl/thm/calc_int/REAL_ADD_RINV_'#@#variant
0. 'coq/Coq_Init_Peano_pred_Sn' 'hl/thm/Multivariate/transcendentals/ATN_TAN_'
0. 'coq/Coq_PArith_BinPos_Pplus_one_succ_l' 'hl/thm/int/INT_NEG_MINUS1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_glb' 'hl/thm/Library/integer/INT_DIVIDES_ADD_'
0. 'coq/Coq_Arith_Gt_gt_asym' 'hl/thm/real/REAL_LT_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_shuffle3' 'hl/thm/arith/ADD_AC_2'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_lt_mono_l' 'hl/thm/real/REAL_LE_LADD_'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_IsTO_lt_total' 'hl/thm/arith/LT_CASES_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_ldiff_ldiff_l' 'hl/thm/arith/EXP_MULT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_le_compat_r' 'hl/thm/Library/prime/DIVIDES_MUL_R_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_nonneg' 'hl/thm/int/INT_SGN_INEQS_2'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_log2_lor'#@#variant 'hl/thm/Library/transc/LN_DIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_land_0_r' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RZERO_'#@#variant
0. 'coq/Coq_MMaps_MMapPositive_PositiveMap_ME_ltk_strorder'#@#variant 'hl/thm/Multivariate/topology/MCOMPLETE_EUCLIDEAN_'#@#variant
0. 'coq/Coq_ZArith_Znat_inj_lt' 'hl/thm/Library/calc_real/REAL_MONO_POW2_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rmult_le_compat_l'#@#variant 'hl/thm/real/REAL_LE_LMUL_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_alt_dichotomy' 'hl/thm/realax/NADD_LE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_odd_1'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_add_le_sub_r' 'hl/thm/Library/analysis/SUB_LEFT_GREATER_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_pred_l' 'hl/thm/arith/MULT_1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_eq_mul_0' 'hl/thm/real/REAL_DIV_EQ_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_succ_diag_r' 'hl/thm/int/INT_ABS_LE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_shuffle3' 'hl/thm/Multivariate/complexes/COMPLEX_MUL_AC_2'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_pos_nonneg'#@#variant 'hl/thm/realarith/REAL_LTE_ADD_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_pred_le_mono' 'hl/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qle_not_lt' 'hl/thm/realarith/REAL_LTE_ANTISYM_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_add_r' 'hl/thm/arith/LE_ADD_'
0. 'coq/Coq_QArith_QOrderedType_QOrder_eq_le' 'hl/thm/int/INT_LET_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_le_mono' 'hl/thm/arith/FACT_MONO_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_lt_mono_r' 'hl/thm/realax/NADD_LE_RADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_nge' 'hl/thm/arith/NOT_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_divide_iff' 'hl/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_NArith_BinNat_N_lcm_1_l'#@#variant 'hl/thm/arith/ADD_CLAUSES_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lxor_0_l' 'hl/thm/arith/MULT_CLAUSES_2'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_mod_idemp_l' 'hl/thm/arith/MOD_MULT_LMOD_'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_constant_neg_valid'#@#variant 'hl/thm/Multivariate/realanalysis/POLYNOMIAL_FUNCTION_BERNOULLI_'
0. 'coq/Coq_QArith_Qcanon_Qclt_le_trans' 'hl/thm/arith/LTE_TRANS_'
0. 'coq/Coq_ZArith_BinInt_Z_opp_nonpos_nonneg'#@#variant 'hl/thm/real/REAL_NEG_LT0_'#@#variant
0. 'coq/Coq_Bool_Bool_orb_true_iff' 'hl/thm/int/INT_ENTIRE_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zplus_lt_compat_l' 'hl/thm/Library/prime/DIVIDES_MUL_L_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_le_trans' 'hl/thm/realarith/REAL_LTE_TRANS_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_gt' 'hl/thm/int/INT_OF_NUM_GT_'
0. 'coq/Coq_fourier_Fourier_util_Rlt_zero_pos_plus1'#@#variant 'hl/thm/Multivariate/vectors/SQRT_POS_LE_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mod_1_r'#@#variant 'hl/thm/Library/prime/INDEX_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_lt_lin'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_LT_X_'#@#variant
0. 'coq/Coq_Reals_ROrderedType_ROrder_not_ge_lt' 'hl/thm/realarith/REAL_LET_TOTAL_'
0. 'coq/Coq_QArith_Qpower_Qpower_pos'#@#variant 'hl/thm/Multivariate/complexes/REAL_POW_'#@#variant
0. 'coq/Coq_fourier_Fourier_util_Rlt_zero_1' 'hl/thm/Multivariate/transcendentals/PI2_BOUNDS_1'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_even_2'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftl_mul_pow2'#@#variant 'hl/thm/int/INT_SUB_RNEG_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_inv_normc' 'hl/thm/Multivariate/complexes/IM_CNJ_'#@#variant
0. 'coq/Coq_Numbers_Cyclic_DoubleCyclic_DoubleBase_wB_pos'#@#variant 'hl/thm/Library/floor/INTEGER_CLOSED_0'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_lub_l' 'hl/thm/Library/integer/INT_DIVIDES_RMUL2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lor_eq_0_iff' 'hl/thm/arith/ADD_EQ_0_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_Zabs' 'hl/thm/int/int_sgn_th_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_opp' 'hl/thm/calc_num/ARITH_6'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_2_r'#@#variant 'hl/thm/arith/EXP_2_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_le_lt_mono' 'hl/thm/real/REAL_LET_ADD2_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_succ_l' 'hl/thm/arith/ADD_CLAUSES_2'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_1_l' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_max_distr' 'hl/thm/Complex/complex_transc/CEXP_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sub_le_mono_r' 'hl/thm/Library/prime/DIVIDES_MUL_R_'
0. 'coq/Coq_ZArith_Zpower_Zpower_pos_is_exp' 'hl/thm/real/REAL_POW_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_1_mul_pos'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_LT_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_lt_mono_nonneg'#@#variant 'hl/thm/real/REAL_LE_MUL2_'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tred_factor2_stable' 'hl/thm/Library/multiplicative/MULTIPLICATIVE_SIGMA_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_succ_l' 'hl/thm/Multivariate/transcendentals/RPOW_INV_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_0_sub'#@#variant 'hl/thm/int/INT_SUB_LT_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_ldiff_ldiff_l' 'hl/thm/Library/prime/EXP_EXP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lcm_1_r'#@#variant 'hl/thm/arith/ADD1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_succ_le' 'hl/thm/Library/floor/FLOOR_DOUBLE_/0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_ngt' 'hl/thm/realax/real_lt_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_shuffle3' 'hl/thm/realax/HREAL_ADD_AC_2'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_succ_pred_double' 'hl/thm/calc_num/ARITH_9'
0. 'coq/Coq_Arith_PeanoNat_Nat_even_2'#@#variant 'hl/thm/Multivariate/complexes/RE_II_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_glb' 'hl/thm/Library/prime/DIVIDES_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mod_0_l' 'hl/thm/arith/MOD_0_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_div_add_l' 'hl/thm/arith/DIV_MULT_ADD_'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_reduce_stable' 'hl/thm/Library/multiplicative/MULTIPLICATIVE_PHI_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pred_le_mono' 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_l2i_i2l'#@#variant 'hl/thm/Library/floor/INT_OF_REAL_OF_INT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div_add_l' 'hl/thm/arith/DIV_MULT_ADD_'#@#variant
0. 'coq/Coq_ZArith_Znat_inj_le' 'hl/thm/Library/calc_real/REAL_MONO_POW2_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lcm_eq_0' 'hl/thm/int/INT_ENTIRE_'#@#variant
0. 'coq/Coq_Bool_Bool_negb_involutive' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div2_nonneg'#@#variant 'hl/thm/real/REAL_SGN_INEQS_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lor_0_l' 'hl/thm/int/INT_MUL_LID_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_divide_mono_l' 'hl/thm/realax/TREAL_LE_LADD_IMP_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_opp_inj_wd' 'hl/thm/nums/SUC_INJ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_le_iff' 'hl/thm/int/INT_MIN_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_succ_le' 'hl/thm/Library/floor/FLOOR_DOUBLE_/0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_1_r' 'hl/thm/arith/SUB_0_/1'
0. 'coq/Coq_ZArith_Zeven_Zodd_plus_Zeven' 'hl/thm/Multivariate/transcendentals/RPOW_LE_1_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_1_l'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_le_mono' 'hl/thm/Multivariate/transcendentals/ATN_MONO_LT_'
0. 'coq/Coq_Arith_Max_max_0_l' 'hl/thm/int/INT_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lnot_ones' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LINV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_lt_lin'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_LE_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_odd_opp' 'hl/thm/Multivariate/complexes/RE_CNJ_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_gcd_comm' 'hl/thm/realax/NADD_ADD_SYM_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_lt_mono_r' 'hl/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_eq_opp_r' 'hl/thm/int/INT_NEG_EQ_'
0. 'coq/Coq_PArith_BinPos_Pos_add_lt_mono_r' 'hl/thm/arith/LE_ADD_RCANCEL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_of_N' 'hl/thm/int/int_of_num_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_cancel_r' 'hl/thm/int/INT_EQ_ADD_RCANCEL_'
0. 'coq/Coq_PArith_BinPos_Pos_divide_add_cancel_l' 'hl/thm/Library/prime/DIVIDES_ADD_REVL_'
0. 'coq/Coq_Bool_Bool_negb_involutive' 'hl/thm/real/REAL_INV_INV_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_divide_mono_r' 'hl/thm/Library/prime/LESS_MONO_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lor_m1_r'#@#variant 'hl/thm/Library/prime/INDEX_0_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_of_Qc_bis' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_POS_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_ge' 'hl/thm/int/INT_OF_NUM_GT_'
0. 'coq/Coq_Reals_R_sqr_Rsqr_incrst_0'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_MONO_LE_REV_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Zle_Qle' 'hl/thm/int/INT_OF_NUM_GE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_square_spec' 'hl/thm/real/REAL_MUL_2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_land_0_r' 'hl/thm/arith/MULT_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_odd_2'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_Zpos' 'hl/thm/int/int_gt_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_comm' 'hl/thm/realax/TREAL_MUL_SYM_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_mod' 'hl/thm/arith/MOD_MULT_MOD2_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_le_refl' 'hl/thm/arith/LE_REFL_'
0. 'coq/Coq_PArith_BinPos_Pos_lt_add_r' 'hl/thm/real/REAL_MAX_MAX_/0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_pos'#@#variant 'hl/thm/Library/pocklington/PHI_LOWERBOUND_2_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_opp_l' 'hl/thm/Multivariate/transcendentals/REAL_ABS_RPOW_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_lt_iff' 'hl/thm/int/INT_LT_MAX_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_nge' 'hl/thm/arith/NOT_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_le_compat_r' 'hl/thm/Library/integer/INT_DIVIDES_MUL_R_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_0_iff' 'hl/thm/Library/pocklington/PHI_EQ_0_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_div_0_l' 'hl/thm/arith/MOD_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_pos_nonneg'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_LT_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_sub_le_add_r' 'hl/thm/int/INT_LE_SUB_RADD_'
0. 'coq/Coq_ZArith_BinInt_Z_add_opp_r' 'hl/thm/Complex/complexnumbers/complex_sub_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_nle_gt' 'hl/thm/int/INT_NOT_LE_'
0. 'coq/Coq_Reals_Rtrigo_calc_sin_3PI2'#@#variant 'hl/thm/Library/transc/PI2_PI4_'#@#variant
0. 'coq/Coq_ZArith_Zeven_Zquot2_opp' 'hl/thm/Multivariate/vectors/SQRT_NEG_'
0. 'coq/Coq_PArith_BinPos_Pos_max_lub_lt_iff' 'hl/thm/int/INT_MAX_LE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_eq_opp_l' 'hl/thm/int/INT_NEG_EQ_'
0. 'coq/Coq_ZArith_BinInt_Z_div_mul' 'hl/thm/real/REAL_DIV_RMUL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_add_le_sub_r' 'hl/thm/real/REAL_LT_ADD_SUB_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_1_r'#@#variant 'hl/thm/realax/HREAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_lt_mono_r' 'hl/thm/arith/LT_ADD_RCANCEL_'
0. 'coq/Coq_QArith_QOrderedType_QOrder_le_refl' 'hl/thm/Library/integer/INT_DIVIDES_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_Zpos' 'hl/thm/int/int_le_'
0. 'coq/Coq_ZArith_Zorder_Zmult_le_compat'#@#variant 'hl/thm/real/REAL_LT_MUL2_'#@#variant
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_incr' 'hl/thm/int/int_sgn_th_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_pos'#@#variant 'hl/thm/Multivariate/transcendentals/REAL_EXP_LT_1_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_max_distr' 'hl/thm/Multivariate/transcendentals/REAL_EXP_SUB_'
0. 'coq/Coq_Arith_PeanoNat_Nat_even_2'#@#variant 'hl/thm/Multivariate/complexes/IM_II_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_le_mono_r'#@#variant 'hl/thm/real/REAL_LE_LMUL_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pow_lt_mono_r'#@#variant 'hl/thm/real/REAL_LE_LMUL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_cancel_l' 'hl/thm/arith/EQ_ADD_LCANCEL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_nle' 'hl/thm/Library/analysis/real_le_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_quot2' 'hl/thm/Complex/complexnumbers/CX_INV_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_m1_0'#@#variant 'hl/thm/Library/transc/PI2_BOUNDS_1'#@#variant
0. 'coq/Coq_QArith_Qreduction_Qred_comp' 'hl/thm/Library/floor/FLOOR_MONO_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_min_distr' 'hl/thm/realax/TREAL_ADD_LDISTRIB_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_opp_nonpos_nonneg'#@#variant 'hl/thm/int/INT_NEG_LE0_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_move_0_r' 'hl/thm/int/INT_LNEG_UNIQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_sub_r' 'hl/thm/Library/integer/INT_DIVIDES_SUB_'
0. 'coq/Coq_Reals_RIneq_Rgt_or_ge' 'hl/thm/realarith/REAL_LTE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_succ_r' 'hl/thm/real/REAL_NEG_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_gt_cases' 'hl/thm/int/INT_NOT_EQ_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_alt_dichotomy' 'hl/thm/realax/REAL_LE_TOTAL_'
0. 'coq/Coq_Numbers_Cyclic_DoubleCyclic_DoubleBase_lt_0_wB'#@#variant 'hl/thm/Multivariate/complexes/REAL_CX_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_divide_cancel_r' 'hl/thm/Library/integer/INT_DIVIDES_RMUL2_EQ_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_neq_succ_0' 'hl/thm/nums/IND_SUC_0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_nonneg_cancel_r'#@#variant 'hl/thm/real/REAL_LE_MUL_EQ_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_move_0_r' 'hl/thm/int/INT_SUB_0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lcm_eq_0' 'hl/thm/arith/MULT_EQ_0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_pos_nonneg'#@#variant 'hl/thm/realarith/REAL_LTE_ADD_'#@#variant
0. 'coq/Coq_ZArith_Zquot_Zrem_opp_l' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_neq' 'hl/thm/int/INT_LT_LE_'
0. 'coq/Coq_Reals_Rbasic_fun_Rmax_Rlt' 'hl/thm/int/INT_MAX_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_le_mono_l_iff' 'hl/thm/Library/prime/DIVIDES_EXP2_EQ_'#@#variant
0. 'coq/Coq_QArith_Qpower_Qpower_pos'#@#variant 'hl/thm/real/REAL_POW_LE_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mod_mod' 'hl/thm/arith/MOD_MOD_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_succ_l' 'hl/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_cancel_r' 'hl/thm/int/INT_EQ_ADD_RCANCEL_'
0. 'coq/Coq_ZArith_BinInt_Z_land_0_r' 'hl/thm/Library/pocklington/ORDER_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_0_l' 'hl/thm/arith/MULT_CLAUSES_2'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_le_mono_l' 'hl/thm/real/REAL_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_succ_inj_wd' 'hl/thm/calc_num/ARITH_57'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_divide_add_cancel_l' 'hl/thm/Complex/cpoly/POLY_DIVIDES_SUB2_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rgt_irrefl' 'hl/thm/int/INT_LT_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_sub_l' 'hl/thm/int/INT_MIN_MIN_/0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_nle_gt' 'hl/thm/arith/NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_1_r'#@#variant 'hl/thm/calc_int/REAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_Reals_Ratan_atan_opp' 'hl/thm/Multivariate/transcendentals/TAN_NEG_'
0. 'coq/Coq_ZArith_BinInt_Z_lxor_0_l' 'hl/thm/int/INT_ADD_LID_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sub_le_mono_r' 'hl/thm/realax/NADD_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_double_mul' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_lt_mono_l' 'hl/thm/realax/NADD_LE_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_le_incl' 'hl/thm/realarith/REAL_LT_IMP_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lcm_divide_iff' 'hl/thm/int/INT_MAX_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_opp_r' 'hl/thm/int/INT_SUB_'
0. 'coq/Coq_Reals_RIneq_Rinv_0_lt_compat'#@#variant 'hl/thm/nums/NUM_REP_RULES_1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_lt_mono_r' 'hl/thm/realax/NADD_LE_RADD_'
0. 'coq/Coq_NArith_BinNat_N_pos_pred_succ' 'hl/thm/int/NUM_OF_INT_OF_NUM_'
0. 'coq/Coq_Reals_RIneq_Rplus_gt_reg_l' 'hl/thm/realax/NADD_ADD_LCANCEL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_pos_l'#@#variant 'hl/thm/real/REAL_LE_LMUL_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_lor' 'hl/thm/Multivariate/transcendentals/REAL_EXP_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_lt_mono_pos_l'#@#variant 'hl/thm/real/REAL_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_le_lt_mono' 'hl/thm/real/REAL_LET_ADD2_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_div2' 'hl/thm/Complex/complexnumbers/CX_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_land_m1_l'#@#variant 'hl/thm/realax/HREAL_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_lt_mono_l' 'hl/thm/arith/EXP_MONO_LT_IMP_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_inj_wd' 'hl/thm/calc_num/ARITH_54'
0. 'coq/Coq_NArith_BinNat_N_log2_up_le_mono' 'hl/thm/arith/FACT_MONO_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lcm_0_r' 'hl/thm/calc_int/REAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_asymm' 'hl/thm/int/INT_LT_GT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_succ_le' 'hl/thm/Library/floor/FLOOR_DOUBLE_/0'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_lt_mono_r' 'hl/thm/realax/NADD_LE_RADD_'
0. 'coq/Coq_NArith_Nnat_N2Nat_id' 'hl/thm/Multivariate/vectors/LIFT_DROP_1'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_glb_lt' 'hl/thm/Library/integer/INT_DIVIDES_SUB_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_0_mul_prime'#@#variant 'hl/thm/arith/ODD_MULT_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_nge' 'hl/thm/int/INT_NOT_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_lt_iff' 'hl/thm/real/REAL_MIN_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_1_mul_pos'#@#variant 'hl/thm/realarith/REAL_LTE_ADD_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_mul_le_mono_l' 'hl/thm/real/REAL_LE_LADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_le_mono' 'hl/thm/Library/transc/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_ZArith_BinInt_Z_gcd_1_r'#@#variant 'hl/thm/arith/MULT_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_le_mono_r_iff'#@#variant 'hl/thm/real/REAL_LE_LMUL_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_le_compat_r' 'hl/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lnot_nonneg'#@#variant 'hl/thm/real/REAL_NEG_GE0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_inj_wd' 'hl/thm/calc_num/ARITH_57'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_1'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sub_diag' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_REFL_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_le_mono_l' 'hl/thm/realax/HREAL_LE_MUL_RCANCEL_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_abs_r' 'hl/thm/Library/integer/INT_DIVIDES_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_succ_inj_wd' 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_NEG2_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_le_compat_l' 'hl/thm/realax/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_ngt' 'hl/thm/int/INT_NOT_LT_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_neq_0_succ' 'hl/thm/calc_num/ARITH_90'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_0_l' 'hl/thm/arith/MOD_0_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pred_succ' 'hl/thm/arith/PRE_1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_lt_mono_r_iff'#@#variant 'hl/thm/real/REAL_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_le_compat_r' 'hl/thm/Library/prime/DIVIDES_MUL_R_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_1_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_nge' 'hl/thm/int/INT_NOT_LE_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_pos'#@#variant 'hl/thm/Library/pocklington/PHI_LOWERBOUND_2_'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tmult_assoc_r_stable' 'hl/thm/Library/multiplicative/MULTIPLICATIVE_TAU_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_glb_lt' 'hl/thm/Library/integer/INT_DIVIDES_ADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_lt_lin'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_LT_X_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_le_mono_pos_r'#@#variant 'hl/thm/real/REAL_LT_RMUL_EQ_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_ge_cases' 'hl/thm/realax/NADD_LE_TOTAL_'
0. 'coq/Coq_NArith_BinNat_N_sub_le_mono_r' 'hl/thm/Library/integer/INT_DIVIDES_MUL_R_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_refl' 'hl/thm/Complex/cpoly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_lxor_l' 'hl/thm/Multivariate/transcendentals/REAL_INV_RPOW_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_divide' 'hl/thm/int/int_gt_'
0. 'coq/Coq_NArith_BinNat_N_even_0' 'hl/thm/Multivariate/complexes/IM_II_'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_iff' 'hl/thm/Multivariate/vectors/DROP_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_le_mono_l' 'hl/thm/arith/LE_ADD_LCANCEL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_l' 'hl/thm/Library/prime/DIVIDES_MUL_L_'
0. 'coq/Coq_Reals_RIneq_Req_ge' 'hl/thm/arith/EQ_IMP_LE_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_sgn' 'hl/thm/Multivariate/complexes/IM_CNJ_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_0_l' 'hl/thm/int/INT_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_nonneg' 'hl/thm/Multivariate/transcendentals/ATN_BOUNDS_/0'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_0' 'hl/thm/Multivariate/complexes/IM_II_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zlt_0_le_0_pred'#@#variant 'hl/thm/Library/pratt/PHI_LOWERBOUND_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lxor_nilpotent' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_REFL_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_max_l' 'hl/thm/realax/NADD_LE_ADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sub_le_mono_r' 'hl/thm/Library/analysis/LESS_MONO_ADD_'
0. 'coq/Coq_ZArith_BinInt_Z2Pos_inj_1'#@#variant 'hl/thm/Multivariate/complexes/RE_II_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_neq' 'hl/thm/int/INT_LT_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_div_1_r' 'hl/thm/arith/SUB_0_/1'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_double'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_INV_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_succ_le' 'hl/thm/Library/floor/FLOOR_DOUBLE_/0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lcm_1_l'#@#variant 'hl/thm/int/INT_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_eq_cases' 'hl/thm/int/INT_LE_LT_'
0. 'coq/Coq_NArith_BinNat_N_sqrt_mul_below' 'hl/thm/int/INT_SUB_ABS_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_refl' 'hl/thm/realax/HREAL_LE_REFL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_gcd_divide_iff' 'hl/thm/real/REAL_LT_MIN_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftl_1_l'#@#variant 'hl/thm/int/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_succ' 'hl/thm/Complex/complex_transc/CX_CEXP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_opp_l' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_LMUL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_assoc' 'hl/thm/realax/NADD_MUL_ASSOC_'
0. 'coq/Coq_ZArith_Znat_Z2N_inj_div2' 'hl/thm/int/int_sgn_th_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_le_compat_l' 'hl/thm/realax/TREAL_LE_LADD_IMP_'#@#variant
0. 'coq/Coq_Bool_Bool_andb_true_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lor_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_succ_not_1' 'hl/thm/nums/NOT_SUC_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_irrefl' 'hl/thm/realarith/REAL_LT_REFL_'
0. 'coq/Coq_ZArith_Znat_inj_neq' 'hl/thm/Library/calc_real/REAL_MONO_POW2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_divide_r' 'hl/thm/real/REAL_MIN_MIN_/1'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_inv_norm' 'hl/thm/Library/floor/RATIONAL_ABS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_land_0_r' 'hl/thm/realax/HREAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_divide_refl' 'hl/thm/realax/TREAL_EQ_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_setbit_spec_prime'#@#variant 'hl/thm/Complex/complexnumbers/complex_div_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_nonpos' 'hl/thm/real/REAL_SGN_INEQS_6'#@#variant
0. 'coq/Coq_NArith_BinNat_N_le_add_r' 'hl/thm/realax/HREAL_LE_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_pred_sub' 'hl/thm/arith/ADD1_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lcm_0_r' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_nle_gt' 'hl/thm/realax/real_lt_'
0. 'coq/Coq_Init_Peano_mult_n_O' 'hl/thm/Library/prime/INDEX_0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_add_le' 'hl/thm/int/INT_ABS_TRIANGLE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_eq_0' 'hl/thm/int/INT_ENTIRE_'#@#variant
0. 'coq/Coq_Reals_Ranalysis4_sinh_lt' 'hl/thm/Multivariate/transcendentals/ATN_MONO_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_1_r'#@#variant 'hl/thm/int/INT_MUL_RZERO_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_gcd_divide_r' 'hl/thm/Library/prime/INDEX_TRIVIAL_BOUND_'
0. 'coq/Coq_PArith_BinPos_Pos_mul_1_l' 'hl/thm/arith/ADD_CLAUSES_0'#@#variant
0. 'coq/Coq_NArith_BinNat_N_min_id' 'hl/thm/real/REAL_MIN_ACI_3'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_gcd_assoc' 'hl/thm/realax/NADD_ADD_ASSOC_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_pos'#@#variant 'hl/thm/Library/pratt/PHI_LOWERBOUND_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_refl' 'hl/thm/Library/prime/DIVIDES_REFL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_0_l' 'hl/thm/arith/ADD_CLAUSES_0'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftr_succ_r' 'hl/thm/Multivariate/transcendentals/RPOW_NEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_nge' 'hl/thm/arith/NOT_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_l' 'hl/thm/realax/NADD_LE_LMUL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lcm_1_l'#@#variant 'hl/thm/int/INT_ADD_LID_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_log2_pos'#@#variant 'hl/thm/Library/pocklington/EVEN_PHI_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_even_1'#@#variant 'hl/thm/Multivariate/complexes/RE_II_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_le_lin'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_LE_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_le_mono_r_iff'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LT_EQ_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z2Pos_inj_1'#@#variant 'hl/thm/Multivariate/complexes/IM_II_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_le_ngt' 'hl/thm/Library/analysis/real_le_'
0. 'coq/Coq_QArith_Qcanon_Qcmult_1_l'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_0_r' 'hl/thm/Library/prime/INDEX_0_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_xO_r' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lor_eq_0_iff' 'hl/thm/arith/ADD_EQ_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_land_0_r' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RZERO_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_odd_0' 'hl/thm/Multivariate/complexes/RE_II_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_lxor_r' 'hl/thm/int/INT_NEG_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_pos'#@#variant 'hl/thm/Library/pratt/PHI_LOWERBOUND_2_'#@#variant
0. 'coq/Coq_Reals_Ratan_Ropp_div' 'hl/thm/calc_int/REAL_MUL_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div2_nonneg'#@#variant 'hl/thm/Library/integer/INT_PRIME_ABS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_le_compat_l' 'hl/thm/realax/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Reals_Rminmax_R_le_min_l' 'hl/thm/real/REAL_MIN_MIN_/0'
0. 'coq/Coq_ZArith_BinInt_Z_add_cancel_r' 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_ADD_RCANCEL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_sqrt' 'hl/thm/Complex/complex_transc/CX_CSIN_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_involutive' 'hl/thm/int/INT_NEGNEG_'
0. 'coq/Coq_Reals_Ratan_atan_opp' 'hl/thm/Multivariate/transcendentals/ATN_ABS_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_1_l'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_divide_lcm_l' 'hl/thm/real/REAL_MAX_MAX_/0'
0. 'coq/Coq_Reals_RIneq_Rplus_gt_compat_r' 'hl/thm/Library/prime/LESS_MONO_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_le_trans' 'hl/thm/realarith/REAL_LTE_TRANS_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_alt_dichotomy' 'hl/thm/realax/NADD_LE_TOTAL_'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tred_factor1_stable' 'hl/thm/Library/multiplicative/MULTIPLICATIVE_PHI_'
0. 'coq/Coq_Reals_Rtrigo_calc_sin_lb_ge_0'#@#variant 'hl/thm/Multivariate/transcendentals/TAN_POS_PI2_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sgn_nonneg' 'hl/thm/int/INT_SGN_INEQS_3'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_mul_r' 'hl/thm/Library/prime/EXP_EXP_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_le_mono' 'hl/thm/realax/NADD_INV_WELLDEF_'
0. 'coq/Coq_ZArith_Zdiv_Zmod_1_r'#@#variant 'hl/thm/Library/prime/INDEX_1_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_triang' 'hl/thm/real/REAL_ABS_TRIANGLE_'
0. 'coq/Coq_Reals_RIneq_Rinv_0_lt_compat'#@#variant 'hl/thm/Multivariate/vectors/SQRT_POS_LT_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_id' 'hl/thm/int/INT_MAX_ACI_3'
0. 'coq/Coq_ZArith_BinInt_Z_mul_divide_cancel_l' 'hl/thm/Library/prime/DIVIDES_LMUL2_EQ_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_setbit_spec_prime'#@#variant 'hl/thm/realax/real_sub_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_sub' 'hl/thm/int/INT_OF_NUM_SUB_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_gcd_divide_r' 'hl/thm/int/INT_MIN_MIN_/1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div_pos'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_LE_1_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_divide_mono_r' 'hl/thm/Library/analysis/LESS_MONO_ADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_pred_succ' 'hl/thm/Library/transc/LN_EXP_'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_succ' 'hl/thm/Complex/complexnumbers/CX_NEG_'
0. 'coq/Coq_ZArith_Zeven_Zodd_Sn' 'hl/thm/Library/pocklington/PHI_LOWERBOUND_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_add_diag_r' 'hl/thm/realax/HREAL_LE_ADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_le_mono' 'hl/thm/Multivariate/transcendentals/ATN_MONO_LT_'
0. 'coq/Coq_NArith_BinNat_N_nlt_ge' 'hl/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_le_compat_l' 'hl/thm/realax/NADD_LE_LMUL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_0_l' 'hl/thm/int/INT_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div_0_l' 'hl/thm/arith/DIV_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_lt_mono_r' 'hl/thm/arith/LE_ADD_RCANCEL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_Zpos' 'hl/thm/int/num_divides_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_Even_or_Odd' 'hl/thm/arith/EVEN_OR_ODD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mod_divide' 'hl/thm/Library/prime/DIVIDES_MOD_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_2' 'hl/thm/int/INT_ABS_0_'
0. 'coq/Coq_NArith_BinNat_N_Even_or_Odd' 'hl/thm/arith/EVEN_OR_ODD_'
0. 'coq/Coq_PArith_BinPos_Pos_le_lteq' 'hl/thm/int/INT_LE_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_sub_lt_add_r' 'hl/thm/Library/analysis/SUB_LEFT_GREATER_EQ_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_succ_l' 'hl/thm/Multivariate/transcendentals/REAL_ABS_RPOW_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_mul_r' 'hl/thm/Library/prime/EXP_EXP_'
0. 'coq/Coq_NArith_BinNat_N_setbit_spec_prime'#@#variant 'hl/thm/Complex/complexnumbers/complex_sub_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftr_opp_r' 'hl/thm/int/INT_SUB_'
0. 'coq/Coq_PArith_Pnat_SuccNat2Pos_inj_iff' 'hl/thm/int/int_eq_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_nle_gt' 'hl/thm/int/INT_LT_'
0. 'coq/Coq_ZArith_BinInt_Z_gcd_greatest' 'hl/thm/Library/integer/INT_DIVIDES_SUB_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_le_iff' 'hl/thm/int/INT_LE_MAX_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_lub_iff' 'hl/thm/int/INT_MAX_LE_'
0. 'coq/Coq_NArith_BinNat_N_div2_succ_double' 'hl/thm/Library/transc/LN_EXP_'
0. 'coq/Coq_Reals_Rtrigo1_tan_gt_0'#@#variant 'hl/thm/Library/transc/COS_POS_PI2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_pos'#@#variant 'hl/thm/Multivariate/vectors/SQRT_LE_0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_inj_wd' 'hl/thm/real/REAL_EQ_INV2_'
0. 'coq/Coq_ZArith_BinInt_Z_succ_inj_wd' 'hl/thm/Multivariate/transcendentals/ATN_INJ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_refl' 'hl/thm/Library/poly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_Reals_Ratan_atan_opp' 'hl/thm/Complex/complex_transc/CSIN_NEG_'
0. 'coq/Coq_Bool_Bool_orb_negb_r' 'hl/thm/int/INT_ADD_RINV_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_cancel_l' 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_ADD_LCANCEL_'
0. 'coq/Coq_PArith_Pnat_SuccNat2Pos_inj_succ' 'hl/thm/Multivariate/transcendentals/CX_EXP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_opp_r' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_RMUL_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_mul_below' 'hl/thm/int/INT_SUB_ABS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_succ_l' 'hl/thm/arith/MULT_1'
0. 'coq/Coq_Reals_RIneq_Rlt_not_le' 'hl/thm/arith/LET_ANTISYM_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_lt_trans' 'hl/thm/int/INT_LET_TRANS_'
0. 'coq/Coq_NArith_BinNat_N_div_mul' 'hl/thm/Complex/complexnumbers/COMPLEX_DIV_RMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_sub_r' 'hl/thm/Library/integer/INT_DIVIDES_SUB_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_invc' 'hl/thm/Multivariate/complexes/IM_CNJ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_ngt' 'hl/thm/arith/NOT_LT_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_gcd_divide_l' 'hl/thm/Library/analysis/SUB_LESS_EQ_'
0. 'coq/Coq_ZArith_BinInt_Z_log2_null'#@#variant 'hl/thm/int/INT_SGN_EQ_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_quot_same'#@#variant 'hl/thm/real/REAL_DIV_REFL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gt_lt_iff' 'hl/thm/arith/GE_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_lt_mono_l' 'hl/thm/realax/HREAL_LE_ADD_LCANCEL_'
0. 'coq/Coq_Reals_Ratan_atan_opp' 'hl/thm/real/REAL_INV_NEG_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_pos_cancel_l'#@#variant 'hl/thm/Library/floor/INTEGER_ADD_EQ_0'
0. 'coq/Coq_Reals_Rtrigo1_COS_bound/0' 'hl/thm/Library/transc/ATN_/0'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qclt_le_weak' 'hl/thm/arith/LT_IMP_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_involutive' 'hl/thm/int/INT_ABS_ABS_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_pos'#@#variant 'hl/thm/Library/pocklington/PHI_LOWERBOUND_1_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_max_le_iff' 'hl/thm/real/REAL_LE_MAX_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_ge_le_iff' 'hl/thm/int/INT_GE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_lt_iff' 'hl/thm/real/REAL_LT_MAX_'
0. 'coq/Coq_ZArith_BinInt_Z_le_add_le_sub_r' 'hl/thm/real/REAL_LT_SUB_LADD_'
0. 'coq/Coq_fourier_Fourier_util_Rfourier_le'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LT_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_neq_succ_0' 'hl/thm/Library/transc/REAL_EXP_NZ_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pred_div2_up' 'hl/thm/Multivariate/transcendentals/CX_COS_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_pred_inj_wd' 'hl/thm/real/REAL_EQ_INV2_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_lt_mono_nonneg'#@#variant 'hl/thm/real/REAL_LE_MUL2_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_lt_mono_l' 'hl/thm/realax/HREAL_LE_ADD_LCANCEL_'
0. 'coq/Coq_Reals_RIneq_Ropp_0_le_ge_contravar'#@#variant 'hl/thm/Library/transc/LN_POS_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_neq' 'hl/thm/int/INT_LT_LE_'
0. 'coq/Coq_Reals_Ratan_Datan_seq_pos'#@#variant 'hl/thm/int/INT_POW_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_l' 'hl/thm/realax/NADD_MUL_WELLDEF_LEMMA_'
0. 'coq/Coq_QArith_QArith_base_inject_Z_opp' 'hl/thm/int/int_abs_th_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_cancel_l' 'hl/thm/calc_int/REAL_EQ_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_alt_dichotomy' 'hl/thm/realax/HREAL_LE_TOTAL_'
0. 'coq/Coq_ZArith_BinInt_Z_pow_le_mono_r'#@#variant 'hl/thm/int/INT_LE_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_le_trans' 'hl/thm/int/INT_LTE_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_lt_mono_r' 'hl/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_opp_r' 'hl/thm/Complex/complexnumbers/complex_div_'
0. 'coq/Coq_Numbers_Natural_BigN_Nbasic_plusnS' 'hl/thm/real/REAL_NEG_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_pos'#@#variant 'hl/thm/Library/transc/ATN_POS_LE_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_shuffle3' 'hl/thm/int/INT_ADD_AC_2'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_le_lin'#@#variant 'hl/thm/Library/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Reals_R_sqrt_sqrt_le_1_alt' 'hl/thm/Multivariate/vectors/SQRT_MONO_LT_'
0. 'coq/Coq_QArith_Qreduction_Qred_opp' 'hl/thm/Multivariate/transcendentals/ATN_ABS_'
0. 'coq/Coq_Arith_PeanoNat_Nat_min_glb' 'hl/thm/Library/prime/DIVIDES_ADD_'
0. 'coq/Coq_QArith_QArith_base_Qmult_le_r'#@#variant 'hl/thm/real/REAL_LE_DIV2_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_lt_iff' 'hl/thm/real/REAL_LT_MAX_'
0. 'coq/Coq_ZArith_Zquot_Zquot_opp_l' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_null'#@#variant 'hl/thm/real/REAL_SGN_EQ_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_lt_mono_r_iff'#@#variant 'hl/thm/Library/analysis/REAL_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_le_iff' 'hl/thm/int/INT_MIN_LE_'
0. 'coq/Coq_ZArith_Znat_inj_gt' 'hl/thm/Library/calc_real/REAL_MONO_POW2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_le_incl' 'hl/thm/realax/TREAL_EQ_IMP_LE_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lcm_divide_iff' 'hl/thm/real/REAL_MAX_LT_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_le_mono_l' 'hl/thm/real/REAL_LE_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_le_iff' 'hl/thm/int/INT_LE_MAX_'
0. 'coq/Coq_Reals_RIneq_Rinv_0_lt_compat'#@#variant 'hl/thm/real/REAL_LT_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_id' 'hl/thm/real/REAL_MAX_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_land_diag' 'hl/thm/int/INT_MIN_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_add_diag_r' 'hl/thm/int/INT_MAX_MAX_/0'
0. 'coq/Coq_QArith_Qcanon_Qclt_not_le' 'hl/thm/arith/LTE_ANTISYM_'
0. 'coq/Coq_NArith_Ndist_ni_le_refl' 'hl/thm/Multivariate/misc/GE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_pow2'#@#variant 'hl/thm/Library/transc/EXP_LN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_ones_equiv'#@#variant 'hl/thm/calc_num/ARITH_9'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_pos_r'#@#variant 'hl/thm/real/REAL_LT_RMUL_EQ_'#@#variant
0. 'coq/Coq_NArith_Ndigits_Ndouble_bit0' 'hl/thm/Library/analysis/POW_MINUS1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_le_mono_r' 'hl/thm/int/INT_LT_RADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_add_lt_sub_r' 'hl/thm/Library/analysis/SUB_LEFT_GREATER_EQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_le_mono' 'hl/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_tan_gt_0'#@#variant 'hl/thm/Multivariate/transcendentals/SIN_POS_PI2_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_opp_l' 'hl/thm/int/INT_NEG_LMUL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_double_size_level' 'hl/thm/int/int_sgn_th_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pow_le_mono_r_iff'#@#variant 'hl/thm/real/REAL_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_0_r' 'hl/thm/Library/prime/INDEX_0_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_max_id' 'hl/thm/int/INT_MAX_ACI_3'
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_le_mono' 'hl/thm/Multivariate/transcendentals/ATN_MONO_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_shuffle3' 'hl/thm/int/INT_MIN_ACI_2'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftr_opp_r' 'hl/thm/Complex/complexnumbers/complex_sub_'
0. 'coq/Coq_Reals_Rbasic_fun_Rmin_glb_lt' 'hl/thm/Complex/cpoly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_cancel_l' 'hl/thm/calc_int/REAL_EQ_ADD_LCANCEL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_sub_lt_add_r' 'hl/thm/real/REAL_LT_ADD_SUB_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_le_mono' 'hl/thm/realax/NADD_INV_WELLDEF_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_eq_mul_0' 'hl/thm/realarith/REAL_ENTIRE_'#@#variant
0. 'coq/Coq_Reals_Ratan_Ratan_seq_opp' 'hl/thm/int/INT_ABS_POW_'
0. 'coq/Coq_NArith_BinNat_N_add_le_mono_l' 'hl/thm/realax/HREAL_LE_ADD_LCANCEL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_nle' 'hl/thm/realax/real_lt_'
0. 'coq/Coq_NArith_BinNat_N_min_glb_lt' 'hl/thm/Library/prime/DIVIDES_SUB_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_le_mono' 'hl/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_0_r'#@#variant 'hl/thm/arith/EXP_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_le_mono' 'hl/thm/arith/FACT_MONO_'
0. 'coq/Coq_ZArith_BinInt_Z_sgn_null_iff' 'hl/thm/calc_num/ARITH_52'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_max_distr' 'hl/thm/Complex/complex_transc/CEXP_SUB_'
0. 'coq/Coq_PArith_BinPos_Pos_min_le_compat_l' 'hl/thm/int/INT_LE_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_opp' 'hl/thm/Multivariate/transcendentals/CNJ_CEXP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_gt_cases' 'hl/thm/int/INT_LTE_TOTAL_'
0. 'coq/Coq_Reals_Rminmax_R_max_lt_iff' 'hl/thm/real/REAL_LE_MAX_'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Topp_opp_stable' 'hl/thm/Library/multiplicative/MULTIPLICATIVE_PHI_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_lxor_l' 'hl/thm/Multivariate/transcendentals/REAL_INV_RPOW_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_max' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_TRIANGLE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pred_succ' 'hl/thm/Multivariate/transcendentals/ATN_TAN_'
0. 'coq/Coq_ZArith_Zeven_Zodd_pred' 'hl/thm/Library/pocklington/PHI_LOWERBOUND_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_sqrt_sqrt_up' 'hl/thm/Multivariate/transcendentals/REAL_EXP_LE_X_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_pos_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_POS_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_id' 'hl/thm/int/INT_MAX_ACI_3'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_r' 'hl/thm/Library/integer/INT_DIVIDES_MUL_R_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_add_lt_sub_r' 'hl/thm/real/REAL_LT_ADD_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_eq_cases' 'hl/thm/int/INT_LE_LT_'
0. 'coq/Coq_NArith_BinNat_N_ldiff_diag' 'hl/thm/int/INT_SUB_REFL_'#@#variant
0. 'coq/Coq_Reals_RIneq_minus_INR' 'hl/thm/real/REAL_OF_NUM_SUB_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_2' 'hl/thm/int/INT_ABS_0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sub_succ' 'hl/thm/int/INT_NEG_MUL2_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_quot_pos'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_LE_1_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div2_nonneg'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_POS_LE_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lt_irrefl' 'hl/thm/arith/LT_REFL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_pred_r' 'hl/thm/int/INT_MUL_RNEG_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_neq' 'hl/thm/realarith/REAL_LT_LE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_le_lin'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_LE_X_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rplus_gt_compat_r' 'hl/thm/realax/HREAL_LE_MUL_RCANCEL_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_lt_mono_l' 'hl/thm/arith/LT_ADD_LCANCEL_'
0. 'coq/Coq_Reals_Rtrigo1_sin_neg' 'hl/thm/calc_num/ARITH_6'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_even_1'#@#variant 'hl/thm/Multivariate/complexes/IM_II_'#@#variant
0. 'coq/Coq_ZArith_Znat_inj_ge' 'hl/thm/Library/calc_real/REAL_MONO_POW2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_eq_cases' 'hl/thm/int/INT_LE_LT_'
0. 'coq/Coq_NArith_BinNat_N_gcd_divide_l' 'hl/thm/real/REAL_MIN_MIN_/0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div_le_mono'#@#variant 'hl/thm/real/REAL_LE_RMUL_'#@#variant
0. 'coq/Coq_Reals_RIneq_Ropp_mult_distr_l_reverse' 'hl/thm/int/INT_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_divide_cancel_r' 'hl/thm/Library/integer/INT_DIVIDES_RMUL2_EQ_'#@#variant
0. 'coq/Coq_QArith_Qminmax_Q_min_le_iff' 'hl/thm/int/INT_MIN_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_factor_l' 'hl/thm/realax/NADD_LE_ADD_'
0. 'coq/Coq_Reals_RIneq_Rle_lt_trans' 'hl/thm/arith/LET_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div2_nonneg'#@#variant 'hl/thm/Library/floor/INTEGER_ABS_'
0. 'coq/Coq_Arith_Plus_le_plus_trans' 'hl/thm/Library/prime/DIVIDES_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_lt_mono'#@#variant 'hl/thm/real/REAL_LT_MUL2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_sub_le_add_r' 'hl/thm/Library/analysis/SUB_LEFT_GREATER_EQ_'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_mul_r' 'hl/thm/arith/EXP_MULT_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_refl' 'hl/thm/int/INT_LE_REFL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_even_sub' 'hl/thm/real/REAL_OF_NUM_SUB_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lor_comm' 'hl/thm/realax/TREAL_ADD_SYM_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_le_mono' 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tplus_permute_stable' 'hl/thm/Library/multiplicative/MULTIPLICATIVE_TAU_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_nle_gt' 'hl/thm/realax/real_lt_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_setbit_spec_prime'#@#variant 'hl/thm/int/INT_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_pred' 'hl/thm/arith/PRE_1'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lcm_0_r' 'hl/thm/arith/MULT_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_0_l' 'hl/thm/arith/MULT_CLAUSES_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_total' 'hl/thm/arith/LT_CASES_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_nlt' 'hl/thm/int/INT_NOT_LT_'
0. 'coq/Coq_ZArith_BinInt_Z_pred_inj_wd' 'hl/thm/nums/SUC_INJ_'
0. 'coq/Coq_NArith_BinNat_N_log2_lor' 'hl/thm/Complex/complex_transc/CEXP_ADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftl_mul_pow2'#@#variant 'hl/thm/Complex/complexnumbers/complex_sub_'
0. 'coq/Coq_Reals_RIneq_Rplus_le_compat_r' 'hl/thm/Library/prime/DIVIDES_MUL_R_'
0. 'coq/Coq_ZArith_BinInt_Z_pow_2_r'#@#variant 'hl/thm/arith/EXP_2_'#@#variant
0. 'coq/Coq_Reals_Ratan_Datan_seq_pos'#@#variant 'hl/thm/int/INT_POW_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_pos'#@#variant 'hl/thm/Library/pocklington/PHI_LOWERBOUND_2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_refl' 'hl/thm/Library/prime/DIVIDES_REFL_'
0. 'coq/Coq_FSets_FSetPositive_PositiveSet_eq_refl' 'hl/thm/arith/LE_REFL_'
0. 'coq/Coq_Reals_Rbasic_fun_abs_IZR' 'hl/thm/Multivariate/transcendentals/CX_TAN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_pos'#@#variant 'hl/thm/Library/floor/RATIONAL_INV_EQ_'
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_null'#@#variant 'hl/thm/int/INT_SGN_EQ_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_succ_l' 'hl/thm/Multivariate/transcendentals/REAL_ABS_RPOW_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_2' 'hl/thm/Library/transc/SIN_0_'
0. 'coq/Coq_NArith_BinNat_N_divide_lcm_r' 'hl/thm/int/INT_MAX_MAX_/1'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_le_iff' 'hl/thm/int/INT_MIN_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_divide_mono_r' 'hl/thm/Library/prime/DIVIDES_EXP_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_id' 'hl/thm/real/REAL_MAX_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_setbit_spec_prime'#@#variant 'hl/thm/real/REAL_SUB_RNEG_'
0. 'coq/Coq_ZArith_Zeven_Zodd_pred' 'hl/thm/Library/pratt/PHI_LOWERBOUND_2_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_add_le_mono_r' 'hl/thm/realax/HREAL_LE_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div2_neg' 'hl/thm/calc_num/ARITH_60'
0. 'coq/Coq_ZArith_BinInt_Z_divide_factor_l' 'hl/thm/int/INT_MAX_MAX_/0'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_le_iff' 'hl/thm/int/INT_MIN_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_lt_mono_l' 'hl/thm/int/INT_LE_LADD_'
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_triang_inv' 'hl/thm/int/INT_SUB_ABS_'
0. 'coq/Coq_Reals_Raxioms_Rplus_lt_compat_l' 'hl/thm/realax/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_min_distr' 'hl/thm/Multivariate/transcendentals/REAL_EXP_ADD_'
0. 'coq/Coq_Bool_Bool_andb_diag' 'hl/thm/int/INT_MAX_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_succ_l' 'hl/thm/arith/LE_SUC_LT_'
0. 'coq/Coq_QArith_Qminmax_Q_min_glb_lt' 'hl/thm/Library/prime/DIVIDES_ADD_'
0. 'coq/Coq_Reals_RIneq_Rmult_le_reg_r'#@#variant 'hl/thm/real/REAL_LE_RCANCEL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_nle_gt' 'hl/thm/realarith/REAL_NOT_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_add_r' 'hl/thm/realax/NADD_LE_ADD_'
0. 'coq/Coq_Reals_Rsqrt_def_Rsqrt_positivity'#@#variant 'hl/thm/int/INT_POS_'#@#variant
0. 'coq/Coq_Reals_ROrderedType_ROrder_le_refl' 'hl/thm/realax/NADD_EQ_REFL_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_red' 'hl/thm/Multivariate/complexes/IM_CNJ_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Zlt_Qlt' 'hl/thm/int/num_divides_'
0. 'coq/Coq_Reals_RIneq_Ropp_div' 'hl/thm/calc_int/REAL_MUL_LNEG_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_nge' 'hl/thm/realarith/REAL_NOT_LT_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_double_size_level' 'hl/thm/int/int_neg_th_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_log2_log2_up' 'hl/thm/Multivariate/transcendentals/REAL_EXP_LE_X_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_abs_IZR' 'hl/thm/int/int_abs_th_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_lt_iff' 'hl/thm/real/REAL_LT_MAX_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_0_succ' 'hl/thm/Multivariate/transcendentals/ATN_BOUNDS_/0'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rmax_Rle' 'hl/thm/int/INT_LE_MAX_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_divide_mono_l' 'hl/thm/realax/TREAL_LE_LADD_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_lt_mono_l' 'hl/thm/realax/NADD_LE_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_clearbit_spec_prime'#@#variant 'hl/thm/Complex/complexnumbers/complex_sub_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_lcm_l' 'hl/thm/real/REAL_MAX_MAX_/0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_null'#@#variant 'hl/thm/int/INT_SGN_EQ_2'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_pos_nonneg'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_LE_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_nonneg_pos'#@#variant 'hl/thm/realarith/REAL_LET_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_succ' 'hl/thm/Library/transc/LN_EXP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_pred_l' 'hl/thm/Multivariate/transcendentals/REAL_ABS_RPOW_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_pos'#@#variant 'hl/thm/real/REAL_LT_INV_EQ_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_lt_le_incl' 'hl/thm/realax/TREAL_EQ_IMP_LE_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lor_comm' 'hl/thm/realax/NADD_MUL_SYM_'
0. 'coq/Coq_FSets_FMapPositive_append_neutral_l' 'hl/thm/arith/MULT_CLAUSES_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_lt_mono_r' 'hl/thm/int/INT_LE_RADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_pos_nonneg'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_LT_1_'#@#variant
0. 'coq/Coq_Arith_Plus_plus_lt_compat_l' 'hl/thm/Library/prime/DIVIDES_MUL_L_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_divide_mono_l' 'hl/thm/Library/prime/DIVIDES_MUL_L_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_total' 'hl/thm/Library/analysis/LESS_CASES_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_1' 'hl/thm/arith/PRE_0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_2' 'hl/thm/int/INT_SGN_0_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_add_0_l' 'hl/thm/realax/NADD_ADD_LID_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rle_not_lt' 'hl/thm/real/REAL_LET_ANTISYM_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_refl' 'hl/thm/arith/LE_REFL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_pred_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_shuffle3' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_AC_2'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_0_l' 'hl/thm/realax/HREAL_ADD_LID_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rlt_not_eq' 'hl/thm/real/REAL_LT_IMP_NE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_nlt_ge' 'hl/thm/realax/real_lt_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lxor_nilpotent' 'hl/thm/real/REAL_SUB_REFL_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_pos_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_POS_LT_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_pos'#@#variant 'hl/thm/Library/floor/RATIONAL_NEG_EQ_'
0. 'coq/Coq_ZArith_Zorder_not_Zeq' 'hl/thm/Library/analysis/LESS_CASES_IMP_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_le_mono_l_iff' 'hl/thm/Library/prime/DIVIDES_EXP2_EQ_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_ge_cases' 'hl/thm/arith/LET_CASES_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_0_r' 'hl/thm/arith/MULT_0_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sub_cancel_l' 'hl/thm/int/INT_EQ_ADD_LCANCEL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_square_spec' 'hl/thm/Library/analysis/REAL_DOUBLE_'#@#variant
0. 'coq/Coq_ZArith_Znat_Z2N_id'#@#variant 'hl/thm/int/INT_OF_NUM_OF_INT_'#@#variant
0. 'coq/Coq_Reals_Rtrigo_calc_sin_PI4'#@#variant 'hl/thm/Library/transc/ATN_1_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_eq_le_incl' 'hl/thm/realax/TREAL_EQ_AP_'#@#variant
0. 'coq/Coq_Reals_Rpower_arcsinh_lt' 'hl/thm/arith/FACT_MONO_'
0. 'coq/Coq_Reals_Rpower_ln_mult'#@#variant 'hl/thm/Library/transc/LN_DIV_'#@#variant
0. 'coq/Coq_Reals_Rpower_sinh_arcsinh' 'hl/thm/Library/transc/ATN_/2'
0. 'coq/Coq_Reals_Rtrigo1_tan_neg' 'hl/thm/real/REAL_INV_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_0_l' 'hl/thm/arith/ADD_CLAUSES_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftl_succ_r' 'hl/thm/arith/SUB_1'
0. 'coq/Coq_Sets_Powerset_facts_Union_commutative' 'hl/thm/Multivariate/vectors/VECTOR_ADD_SYM_'#@#variant
0. 'coq/Coq_NArith_Ndist_Nplength_ultra' 'hl/thm/realax/TREAL_OF_NUM_MUL_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_nle_gt' 'hl/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_nle_gt' 'hl/thm/int/INT_LT_'
0. 'coq/Coq_QArith_QArith_base_Qmult_le_l'#@#variant 'hl/thm/real/REAL_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_le_mono_l' 'hl/thm/int/INT_LT_LADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_diag' 'hl/thm/int/INT_MIN_ACI_3'
0. 'coq/Coq_Arith_Even_odd_plus_l' 'hl/thm/int/INT_LTE_ADD_'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_is_nonneg'#@#variant 'hl/thm/Library/floor/RATIONAL_NUM_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_le_mono_r' 'hl/thm/arith/LT_ADD_RCANCEL_'
0. 'coq/Coq_QArith_QArith_base_Qplus_inj_l' 'hl/thm/int/INT_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_le_compat_l' 'hl/thm/realax/REAL_LE_LADD_IMP_'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_minus_one_neq_zero'#@#variant 'hl/thm/Multivariate/transcendentals/PI_NZ_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_div2_nonneg'#@#variant 'hl/thm/calc_num/ARITH_44'
0. 'coq/Coq_Numbers_Cyclic_DoubleCyclic_DoubleBase_wB_pos'#@#variant 'hl/thm/real/REAL_LT_POW2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_lt_mono_r' 'hl/thm/arith/LE_ADD_RCANCEL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_pos_r'#@#variant 'hl/thm/int/INT_LT_RMUL_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_lub_lt_iff' 'hl/thm/int/INT_MAX_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_opp_diag_r' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_RINV_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_eq_0' 'hl/thm/real/REAL_DIV_EQ_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_lub_lt_iff' 'hl/thm/int/INT_MAX_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_1_r'#@#variant 'hl/thm/Library/pocklington/ORDER_1_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zmult_lt_compat'#@#variant 'hl/thm/Library/analysis/REAL_LE_MUL2V_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_lor'#@#variant 'hl/thm/Library/transc/LN_DIV_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_min_glb' 'hl/thm/Library/integer/INT_DIVIDES_SUB_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_pos_nonneg'#@#variant 'hl/thm/realarith/REAL_LTE_ADD_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_min_lt_iff' 'hl/thm/int/INT_MIN_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_divide_mono_l' 'hl/thm/realax/REAL_LE_LADD_IMP_'
0. 'coq/Coq_NArith_BinNat_N_succ_inj_wd' 'hl/thm/Multivariate/vectors/SQRT_INJ_'
0. 'coq/Coq_NArith_BinNat_N_sqrt_le_mono' 'hl/thm/Library/transc/ATN_MONO_LT_'
0. 'coq/Coq_Reals_Rtrigo1_sin_neg' 'hl/thm/real/REAL_SGN_NEG_'
0. 'coq/Coq_NArith_BinNat_N_add_succ_l' 'hl/thm/Multivariate/transcendentals/RPOW_INV_'
0. 'coq/Coq_Reals_Rtrigo1_neg_cos' 'hl/thm/Library/transc/COS_PERIODIC_PI_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_lub_l' 'hl/thm/Library/integer/INT_DIVIDES_RMUL2_'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_lt_le' 'hl/thm/int/INT_LT_ANTISYM_'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_pred' 'hl/thm/Multivariate/transcendentals/CX_COS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_min_r' 'hl/thm/Library/prime/INDEX_TRIVIAL_BOUND_'
0. 'coq/Coq_ZArith_BinInt_Zminus_succ_l' 'hl/thm/int/INT_NEG_LMUL_'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_le_neq' 'hl/thm/arith/LT_CASES_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_succ_not_1' 'hl/thm/nums/IND_SUC_0_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_pos'#@#variant 'hl/thm/Library/floor/RATIONAL_INV_EQ_'
0. 'coq/Coq_NArith_BinNat_N_le_gt_cases' 'hl/thm/arith/LTE_CASES_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div_le_mono'#@#variant 'hl/thm/real/REAL_LT_RMUL_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_succ' 'hl/thm/Complex/complexnumbers/CX_NEG_'
0. 'coq/Coq_ZArith_Znat_Zabs2N_inj_pred'#@#variant 'hl/thm/Multivariate/complexes/CSQRT_CX_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_no_R0' 'hl/thm/Library/analysis/REAL_INV_NZ_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_le_lin'#@#variant 'hl/thm/Library/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_lt_lin'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_LE_X_'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_is_pos'#@#variant 'hl/thm/Library/floor/INTEGER_CLOSED_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_0_r' 'hl/thm/Library/prime/INDEX_0_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_pos'#@#variant 'hl/thm/Library/transc/ATN_POS_LT_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_lt_mono_pos_r'#@#variant 'hl/thm/real/REAL_LE_DIV2_EQ_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_0_l' 'hl/thm/int/INT_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_le_mono' 'hl/thm/Multivariate/transcendentals/ATN_MONO_LT_'
0. 'coq/Coq_ZArith_BinInt_Z_add_lt_mono_l' 'hl/thm/real/REAL_LE_LADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_le_compat_l' 'hl/thm/real/REAL_LT_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_lt_iff' 'hl/thm/int/INT_LE_MAX_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_pos_r'#@#variant 'hl/thm/int/INT_LT_RMUL_EQ_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_lt_mono_l' 'hl/thm/arith/LT_ADD_LCANCEL_'
0. 'coq/Coq_ZArith_BinInt_Z_lnot_lxor_r' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_RMUL_'
0. 'coq/Coq_Reals_Rpower_arcsinh_le' 'hl/thm/arith/FACT_MONO_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_0_iff' 'hl/thm/real/REAL_ABS_ZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_inj_wd' 'hl/thm/Multivariate/transcendentals/ATN_INJ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_pred_l' 'hl/thm/Library/pratt/PHI_LIMIT_'
0. 'coq/Coq_QArith_Qcanon_Qcplus_opp_r'#@#variant 'hl/thm/calc_int/REAL_ADD_RINV_'#@#variant
0. 'coq/Coq_Reals_Rfunctions_fact_simpl' 'hl/thm/arith/FACT_1'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_l' 'hl/thm/realax/NADD_MUL_WELLDEF_LEMMA_'
0. 'coq/Coq_Init_Peano_pred_Sn' 'hl/thm/Library/transc/ATN_TAN_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_neq_0_succ' 'hl/thm/Complex/complex_transc/CEXP_NONZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_add_lt_sub_r' 'hl/thm/int/INT_LE_SUB_RADD_'
0. 'coq/Coq_ZArith_BinInt_Z_divide_add_r' 'hl/thm/Library/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sub_succ' 'hl/thm/int/INT_NEG_MUL2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_asymm' 'hl/thm/real/REAL_LT_GT_'
0. 'coq/Coq_Reals_RIneq_cond_pos'#@#variant 'hl/thm/Multivariate/complexes/REAL_CX_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_pos'#@#variant 'hl/thm/realarith/REAL_POS_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_log2' 'hl/thm/int/int_sgn_th_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_even_2' 'hl/thm/Multivariate/complexes/RE_II_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_move_r' 'hl/thm/int/INT_EQ_SUB_RADD_'
0. 'coq/Coq_ZArith_BinInt_Z_lxor_0_l' 'hl/thm/realax/HREAL_ADD_LID_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_even_1' 'hl/thm/Multivariate/complexes/RE_II_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pow_lt_mono_r'#@#variant 'hl/thm/Library/analysis/REAL_LT_LMUL_IMP_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_le_refl' 'hl/thm/realax/HREAL_LE_REFL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_pos_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LE_EQ_'#@#variant
0. 'coq/Coq_ZArith_Znat_Z2Nat_inj_pos' 'hl/thm/int/int_of_num_th_'
0. 'coq/Coq_PArith_BinPos_Pos_divide_add_cancel_l' 'hl/thm/Library/poly/POLY_DIVIDES_SUB2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_le_mono' 'hl/thm/realax/NADD_INV_WELLDEF_'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_succ' 'hl/thm/int/int_sgn_th_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_shuffle3' 'hl/thm/int/INT_MIN_ACI_2'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_even_0' 'hl/thm/Multivariate/complexes/RE_II_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_lt_mono_r' 'hl/thm/realax/NADD_LE_RADD_'
0. 'coq/Coq_ZArith_BinInt_Z_shiftl_opp_r' 'hl/thm/realax/real_sub_'
0. 'coq/Coq_ZArith_BinInt_Z_div2_nonneg'#@#variant 'hl/thm/Library/integer/INT_PRIME_NEG_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_lt_mono_l' 'hl/thm/real/REAL_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lcm_diag' 'hl/thm/real/REAL_MAX_ACI_3'
0. 'coq/Coq_Reals_RIneq_Ropp_0_le_ge_contravar'#@#variant 'hl/thm/Library/transc/REAL_EXP_LT_1_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_0_r' 'hl/thm/Library/prime/DIVIDES_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_pos_l'#@#variant 'hl/thm/Library/analysis/REAL_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_ngt' 'hl/thm/arith/NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_opp' 'hl/thm/Multivariate/transcendentals/TAN_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_square_spec' 'hl/thm/arith/BIT0_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_1_r' 'hl/thm/realax/HREAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_min_le_compat_l' 'hl/thm/Library/prime/DIVIDES_MUL_L_'
0. 'coq/Coq_QArith_Qreduction_Qred_opp' 'hl/thm/real/REAL_INV_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_le_iff' 'hl/thm/real/REAL_LE_MAX_'
0. 'coq/Coq_NArith_BinNat_N_lcm_0_r' 'hl/thm/calc_int/REAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z2Pos_inj_sqrt' 'hl/thm/int/int_abs_th_'
0. 'coq/Coq_NArith_BinNat_N_gcd_divide_r' 'hl/thm/int/INT_MIN_MIN_/1'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_xO'#@#variant 'hl/thm/Multivariate/complexes/IM_CNJ_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_succ_r' 'hl/thm/arith/EXP_1'
0. 'coq/Coq_Reals_Rfunctions_Rlt_pow'#@#variant 'hl/thm/real/REAL_POW_MONO_'#@#variant
0. 'coq/Coq_Bool_Bool_negb_xorb_l' 'hl/thm/Multivariate/transcendentals/RPOW_INV_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_lxor_r' 'hl/thm/arith/ADD_SUC_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_le_compat_r' 'hl/thm/Library/analysis/LESS_MONO_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_gt_cases' 'hl/thm/int/INT_LTE_TOTAL_'
0. 'coq/Coq_Reals_Rpower_ln_exp' 'hl/thm/Multivariate/transcendentals/LOG_EXP_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_diag' 'hl/thm/arith/BIT0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ldiff_diag' 'hl/thm/int/INT_SUB_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_even_2'#@#variant 'hl/thm/Multivariate/complexes/RE_II_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_lt_lin'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_LE_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_shuffle3' 'hl/thm/real/REAL_MAX_ACI_2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_id' 'hl/thm/int/INT_MAX_ACI_3'
0. 'coq/Coq_NArith_BinNat_N_add_le_mono_l' 'hl/thm/real/REAL_LE_LADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_lt_iff' 'hl/thm/int/INT_MIN_LT_'
0. 'coq/Coq_Arith_EqNat_eq_nat_refl' 'hl/thm/realax/HREAL_LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lnot_0_l' 'hl/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_nonneg_pos'#@#variant 'hl/thm/realarith/REAL_LET_ADD_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_lnot_diag'#@#variant 'hl/thm/int/INT_ADD_RINV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lcm_0_r' 'hl/thm/int/INT_MUL_RZERO_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_le_mono' 'hl/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_null'#@#variant 'hl/thm/int/INT_SGN_EQ_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_max_distr' 'hl/thm/Complex/complex_transc/CEXP_SUB_'
0. 'coq/Coq_Arith_PeanoNat_Nat_min_lt_iff' 'hl/thm/int/INT_MIN_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_le_mono' 'hl/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_shuffle3' 'hl/thm/real/REAL_MIN_ACI_2'
0. 'coq/Coq_NArith_BinNat_N_log2_le_mono' 'hl/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_add_le_mono_r' 'hl/thm/realax/NADD_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_null'#@#variant 'hl/thm/int/INT_SGN_EQ_2'#@#variant
0. 'coq/Coq_NArith_BinNat_N_max_lub_iff' 'hl/thm/int/INT_MAX_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_0_l' 'hl/thm/int/INT_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_succ_le' 'hl/thm/Library/floor/FLOOR_DOUBLE_/0'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_abs_0_iff' 'hl/thm/int/INT_SGN_INEQS_9'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_refl' 'hl/thm/Complex/cpoly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_ZArith_Znumtheory_rel_prime_mult' 'hl/thm/Library/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_tan_neg' 'hl/thm/Complex/complexnumbers/CNJ_NEG_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_lcm_l' 'hl/thm/realax/NADD_LE_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lcm_diag' 'hl/thm/int/INT_MIN_ACI_3'
0. 'coq/Coq_QArith_Qabs_Qabs_wd' 'hl/thm/Library/transc/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lcm_1_l'#@#variant 'hl/thm/arith/MULT_CLAUSES_2'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_pos'#@#variant 'hl/thm/calc_num/ARITH_44'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_sub_le_add_r' 'hl/thm/int/INT_LT_SUB_LADD_'
0. 'coq/Coq_ZArith_Znat_Zabs2Nat_id' 'hl/thm/int/NUM_OF_INT_OF_NUM_'
0. 'coq/Coq_ZArith_BinInt_Z_le_ngt' 'hl/thm/realax/real_lt_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_succ_not_1' 'hl/thm/nums/IND_SUC_0_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_le_compat_l' 'hl/thm/realax/NADD_LE_LMUL_'
0. 'coq/Coq_NArith_BinNat_N_ldiff_diag' 'hl/thm/real/REAL_SUB_REFL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_le_lteq' 'hl/thm/arith/LE_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_nonpos_nonneg'#@#variant 'hl/thm/real/REAL_NEG_LE0_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_log2' 'hl/thm/Multivariate/transcendentals/CX_TAN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_asymm' 'hl/thm/real/REAL_LT_ANTISYM_'
0. 'coq/Coq_Reals_Rtrigo1_sin_plus' 'hl/thm/Library/transc/SIN_ADD_'
0. 'coq/Coq_Reals_RIneq_Rnot_gt_ge' 'hl/thm/arith/LET_CASES_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_succ_l' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_LMUL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_pos' 'hl/thm/real/REAL_SGN_INEQS_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_add_lt_sub_r' 'hl/thm/real/REAL_LE_SUB_RADD_'
0. 'coq/Coq_Bool_Bool_andb_true_l' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_iff' 'hl/thm/realax/REAL_OF_NUM_EQ_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pow_le_mono_l' 'hl/thm/arith/EXP_MONO_LE_IMP_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_le_mono_r' 'hl/thm/arith/LE_ADD_RCANCEL_'
0. 'coq/Coq_ZArith_BinInt_Z_opp_inj_wd' 'hl/thm/calc_num/ARITH_54'
0. 'coq/Coq_ZArith_Zorder_Zsucc_gt_compat' 'hl/thm/Library/transc/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_1_r' 'hl/thm/Library/prime/INDEX_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_double_mul' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LNEG_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_assoc' 'hl/thm/realax/TREAL_MUL_ASSOC_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_ge_cases' 'hl/thm/realax/NADD_LE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_Zpos' 'hl/thm/realax/NADD_OF_NUM_LE_'
0. 'coq/Coq_ZArith_BinInt_Z_ldiff_land' 'hl/thm/int/INT_SUB_'
0. 'coq/Coq_PArith_BinPos_Pos_lt_le_incl' 'hl/thm/int/INT_LT_IMP_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_le_mono' 'hl/thm/calc_int/REAL_LE_NEG2_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_le_compat_l' 'hl/thm/realax/TREAL_LE_LADD_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_1_l' 'hl/thm/realax/REAL_MUL_LID_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zsucc_lt_compat' 'hl/thm/Multivariate/vectors/SQRT_MONO_LE_'
0. 'coq/Coq_ZArith_Zorder_Zmult_lt_compat_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_min_l' 'hl/thm/real/REAL_MIN_MIN_/0'
0. 'coq/Coq_Reals_R_sqr_Rsqr_abs' 'hl/thm/Library/transc/COS_NEG_'
0. 'coq/Coq_Reals_Ranalysis4_sinh_lt' 'hl/thm/realax/NADD_INV_WELLDEF_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_le_compat_r' 'hl/thm/arith/EXP_MONO_LE_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_divide_mono_l' 'hl/thm/int/INT_LE_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sub_succ_r' 'hl/thm/arith/SUB_1'
0. 'coq/Coq_ZArith_BinInt_Z_land_0_r' 'hl/thm/realax/HREAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_lub_r' 'hl/thm/Library/prime/DIVIDES_LMUL2_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_xO_r' 'hl/thm/int/INT_MUL_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_sub_r' 'hl/thm/Library/integer/INT_DIVIDES_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_land_diag' 'hl/thm/real/REAL_MIN_ACI_3'
0. 'coq/Coq_PArith_BinPos_Pos_gcd_divide_l' 'hl/thm/int/INT_MIN_MIN_/0'
0. 'coq/Coq_ZArith_BinInt_Z_log2_pow2'#@#variant 'hl/thm/Library/transc/EXP_LN_'#@#variant
0. 'coq/Coq_Init_Peano_plus_O_n' 'hl/thm/realax/REAL_ADD_LID_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_antisymm' 'hl/thm/Library/analysis/LESS_EQUAL_ANTISYM_'
0. 'coq/Coq_NArith_BinNat_N_lt_trichotomy' 'hl/thm/Library/analysis/LESS_CASES_IMP_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_odd_2' 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_le_neq' 'hl/thm/Library/analysis/LESS_LESS_CASES_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_log2_log2_up' 'hl/thm/Multivariate/transcendentals/REAL_EXP_LE_X_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_odd_1' 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant
0. 'coq/Coq_ZArith_Znat_Zabs2N_inj_pos' 'hl/thm/int/int_of_num_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_rem_abs' 'hl/thm/Library/analysis/ABS_DIV_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_odd_0' 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_le_lt_mono' 'hl/thm/real/REAL_LET_ADD2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_null_iff' 'hl/thm/real/REAL_NEG_EQ_0_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_shiftl_opp_r' 'hl/thm/Complex/complexnumbers/complex_div_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_divide_r' 'hl/thm/real/REAL_MIN_MIN_/1'
0. 'coq/Coq_Reals_Rminmax_R_max_lt_iff' 'hl/thm/real/REAL_LT_MAX_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_min_distr' 'hl/thm/Multivariate/transcendentals/REAL_EXP_ADD_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_eq_cases' 'hl/thm/int/INT_LE_LT_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_1_l' 'hl/thm/realax/NADD_LE_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_shiftl_lxor' 'hl/thm/realax/NADD_RDISTRIB_'
0. 'coq/Coq_PArith_BinPos_Pos_divide_add_cancel_l' 'hl/thm/Complex/cpoly/POLY_DIVIDES_SUB2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_0_l' 'hl/thm/realax/REAL_ADD_LID_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_shiftr_div_pow2'#@#variant 'hl/thm/realax/real_div_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_rem_opp_l_prime' 'hl/thm/int/INT_NEG_LMUL_'
0. 'coq/Coq_QArith_QOrderedType_QOrder_le_refl' 'hl/thm/Library/poly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lcm_1_l'#@#variant 'hl/thm/int/INT_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_le_mono' 'hl/thm/Library/floor/FLOOR_MONO_'
0. 'coq/Coq_Arith_Plus_plus_lt_le_compat' 'hl/thm/arith/LTE_ADD2_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_lt_mono_r' 'hl/thm/realax/NADD_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_lor' 'hl/thm/Multivariate/transcendentals/REAL_EXP_SUB_'
0. 'coq/Coq_NArith_BinNat_N_pred_succ' 'hl/thm/Multivariate/transcendentals/CCOS_CACS_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_le_succ_r' 'hl/thm/Library/analysis/LESS_SUC_'
0. 'coq/Coq_NArith_BinNat_N_shiftr_div_pow2'#@#variant 'hl/thm/realax/real_sub_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div2_double' 'hl/thm/Library/transc/ATN_/2'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_le_mono' 'hl/thm/Library/floor/FLOOR_MONO_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_pos_cancel_r'#@#variant 'hl/thm/Library/floor/INTEGER_ADD_EQ_1'
0. 'coq/Coq_NArith_BinNat_N_pow_le_mono_l' 'hl/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_BigNumPrelude_Zlt0_not_eq'#@#variant 'hl/thm/Library/prime/PRIME_IMP_NZ_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_succ_r' 'hl/thm/int/INT_MUL_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_odd_1'#@#variant 'hl/thm/Multivariate/complexes/RE_II_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rle_refl' 'hl/thm/arith/LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_total' 'hl/thm/int/INT_LT_TOTAL_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_power_norm' 'hl/thm/int/INT_POW_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_opp_l' 'hl/thm/calc_int/REAL_MUL_LNEG_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_le_mono_r' 'hl/thm/realax/NADD_LE_RADD_'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_pred' 'hl/thm/Complex/complex_transc/CX_CEXP_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_inj_wd' 'hl/thm/Multivariate/transcendentals/REAL_EXP_INJ_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_square_spec' 'hl/thm/Library/analysis/REAL_DOUBLE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_lt_mono_r' 'hl/thm/int/INT_LE_RADD_'
0. 'coq/Coq_ZArith_BinInt_Z_max_lub_iff' 'hl/thm/int/INT_MAX_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_eq_0' 'hl/thm/arith/MULT_EQ_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lcm_0_r' 'hl/thm/Library/pocklington/ORDER_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_glb' 'hl/thm/Library/integer/INT_DIVIDES_SUB_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_l' 'hl/thm/realax/REAL_LE_LADD_IMP_'
0. 'coq/Coq_ZArith_Zorder_Zplus_le_compat_l' 'hl/thm/int/INT_LE_LADD_IMP_'
0. 'coq/Coq_ZArith_BinInt_Z_pred_succ' 'hl/thm/Multivariate/transcendentals/CSIN_CASN_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_nonneg'#@#variant 'hl/thm/Library/floor/INTEGER_ABS_'
0. 'coq/Coq_Arith_Plus_plus_le_lt_compat' 'hl/thm/int/INT_LET_ADD2_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_eq_0' 'hl/thm/realarith/REAL_ENTIRE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_le_compat_r' 'hl/thm/Library/analysis/LESS_MONO_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_max_l' 'hl/thm/arith/LE_ADD_'
0. 'coq/Coq_Arith_Div2_even_double' 'hl/thm/Multivariate/transcendentals/EXP_LOG_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_cancel_r' 'hl/thm/calc_int/REAL_EQ_ADD_RCANCEL_'
0. 'coq/Coq_ZArith_BinInt_Z_add_pred_l' 'hl/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_Arith_Lt_lt_not_le' 'hl/thm/arith/LET_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_cancel_l' 'hl/thm/Library/analysis/REAL_EQ_LMUL2_'#@#variant
0. 'coq/Coq_Arith_Mult_mult_le_compat_l' 'hl/thm/real/REAL_LT_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_pos_neg'#@#variant 'hl/thm/real/REAL_NEG_GE0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_eq_le_incl' 'hl/thm/int/INT_EQ_IMP_LE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_succ' 'hl/thm/Multivariate/transcendentals/REAL_EXP_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_1_r' 'hl/thm/arith/SUB_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_setbit_spec_prime'#@#variant 'hl/thm/Multivariate/complexes/complex_div_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_opp' 'hl/thm/Complex/complex_transc/CSIN_NEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftl_succ_r' 'hl/thm/arith/SUB_1'
0. 'coq/Coq_ZArith_Zdiv_Zdiv_0_r' 'hl/thm/Library/pocklington/ORDER_1_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_le_sub_le_add_r' 'hl/thm/Library/analysis/SUB_LEFT_GREATER_EQ_'
0. 'coq/Coq_QArith_Qpower_Qpower_pos'#@#variant 'hl/thm/Library/floor/INTEGER_CLOSED_4'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div2_nonneg'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_POS_LT_'#@#variant
0. 'coq/Coq_Numbers_BigNumPrelude_Zlt0_not_eq'#@#variant 'hl/thm/int/INT_POS_NZ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_2' 'hl/thm/realax/REAL_INV_0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_lub_iff' 'hl/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_le_mono_r' 'hl/thm/arith/LT_ADD_RCANCEL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_setbit_spec_prime'#@#variant 'hl/thm/real/REAL_SUB_RNEG_'
0. 'coq/Coq_PArith_BinPos_Pos_max_le_compat_l' 'hl/thm/int/INT_LE_LADD_IMP_'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_pos'#@#variant 'hl/thm/Library/pratt/PHI_LOWERBOUND_2_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_rem_opp_l_prime' 'hl/thm/arith/ADD_CLAUSES_2'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_r' 'hl/thm/realax/NADD_LE_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_neq_succ_0' 'hl/thm/nums/NOT_SUC_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sqrt_le_mono' 'hl/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zmult_lt_compat_r'#@#variant 'hl/thm/Library/analysis/REAL_LE_RMUL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_glb_iff' 'hl/thm/real/REAL_LT_MIN_'
0. 'coq/Coq_NArith_BinNat_N_lt_0_mul_prime'#@#variant 'hl/thm/arith/ODD_MULT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_clearbit_spec_prime'#@#variant 'hl/thm/Complex/complexnumbers/complex_div_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_quot_0_l' 'hl/thm/arith/DIV_0_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lxor_0_l' 'hl/thm/int/INT_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_r' 'hl/thm/realax/HREAL_LE_MUL_RCANCEL_IMP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_succ_r' 'hl/thm/int/INT_NEG_RMUL_'
0. 'coq/Coq_QArith_QArith_base_Zlt_Qlt' 'hl/thm/int/int_ge_'
0. 'coq/Coq_ZArith_BinInt_Z_lnot_land' 'hl/thm/Library/transc/REAL_EXP_SUB_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_lt_add_l' 'hl/thm/Library/prime/DIVIDES_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_divide_l' 'hl/thm/Library/analysis/SUB_LESS_EQ_'
0. 'coq/Coq_ZArith_BinInt_Z_shiftr_opp_r' 'hl/thm/Multivariate/complexes/complex_div_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_sin_minus' 'hl/thm/Library/transc/SIN_ADD_'
0. 'coq/Coq_ZArith_Zlogarithm_log_sup_correct1'#@#variant 'hl/thm/real/REAL_LE_POW2_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_ngt' 'hl/thm/int/INT_NOT_LE_'
0. 'coq/Coq_Reals_Ranalysis4_sinh_lt' 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_PArith_BinPos_Pos_max_le_compat_r' 'hl/thm/Library/prime/LESS_MONO_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_refl' 'hl/thm/Multivariate/misc/GE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_pred' 'hl/thm/Multivariate/transcendentals/ATN_TAN_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_pos'#@#variant 'hl/thm/Library/transc/ATN_POS_LE_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_succ_pred_pos'#@#variant 'hl/thm/Library/transc/EXP_LN_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_lt_mono'#@#variant 'hl/thm/real/REAL_LE_MUL2_'#@#variant
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_double' 'hl/thm/Multivariate/complexes/CX_INV_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_le_mono' 'hl/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_gcd_greatest' 'hl/thm/Complex/cpoly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_lt_add_r' 'hl/thm/Library/prime/DIVIDES_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_succ_l' 'hl/thm/Multivariate/transcendentals/REAL_ABS_RPOW_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_simpl_l' 'hl/thm/real/REAL_ADD_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_add_lt_sub_r' 'hl/thm/int/INT_LE_SUB_LADD_'
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_2' 'hl/thm/Multivariate/transcendentals/SIN_0_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_gt_cases' 'hl/thm/int/INT_NOT_EQ_'
0. 'coq/Coq_ZArith_Znat_Z2N_inj_pred' 'hl/thm/Complex/complex_transc/CX_CEXP_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_1_r'#@#variant 'hl/thm/calc_int/REAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_QArith_Qround_Qceiling_Z' 'hl/thm/int/NUM_OF_INT_OF_NUM_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_odd_spec' 'hl/thm/Multivariate/complexes/real_'#@#variant
0. 'coq/Coq_Reals_Rpower_ln_lt_inv'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_MONO_LT_REV_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_pred_l' 'hl/thm/arith/MULT_1'
0. 'coq/Coq_NArith_BinNat_N_mul_lt_mono_pos_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LE_EQ_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_nle_gt' 'hl/thm/int/INT_NOT_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_pos_nonneg'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_LT_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_pos_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LE_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_mod' 'hl/thm/arith/MOD_ADD_MOD_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_succ_l' 'hl/thm/int/INT_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_le_mono_l' 'hl/thm/real/REAL_LE_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_0_l' 'hl/thm/realax/REAL_ADD_LID_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_add_lt_sub_r' 'hl/thm/real/REAL_LT_SUB_RADD_'
0. 'coq/Coq_Reals_Ratan_ps_atan_opp' 'hl/thm/Multivariate/transcendentals/ATN_ABS_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_glb' 'hl/thm/Complex/cpoly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_clearbit_spec_prime'#@#variant 'hl/thm/int/INT_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_ngt' 'hl/thm/arith/NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_divide_mono_l' 'hl/thm/real/REAL_LT_LADD_IMP_'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_lt_antirefl' 'hl/thm/realarith/REAL_LT_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_simpl_r' 'hl/thm/real/REAL_SUB_ADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_le_compat_r' 'hl/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_asymm' 'hl/thm/int/INT_LT_ANTISYM_'
0. 'coq/Coq_NArith_BinNat_N_gt_lt_iff' 'hl/thm/int/INT_GE_'
0. 'coq/Coq_Structures_OrdersEx_PositiveOrderedTypeBits_bits_lt_antirefl' 'hl/thm/int/INT_LT_REFL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_gt_lt_iff' 'hl/thm/arith/GE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_sub_r' 'hl/thm/Library/integer/INT_DIVIDES_SUB_'
0. 'coq/Coq_Reals_RIneq_Rplus_le_compat_l' 'hl/thm/realax/TREAL_LE_LADD_IMP_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_pred_le' 'hl/thm/Library/analysis/OR_LESS_'
0. 'coq/Coq_ZArith_BinInt_Z_eq_mul_0' 'hl/thm/Complex/complexnumbers/COMPLEX_ENTIRE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_divide_cancel_l' 'hl/thm/Library/prime/DIVIDES_LMUL2_EQ_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_pos'#@#variant 'hl/thm/Library/pratt/PHI_LOWERBOUND_2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_opp_r' 'hl/thm/calc_int/REAL_MUL_RNEG_'
0. 'coq/Coq_ZArith_BinInt_Z_lcm_1_l'#@#variant 'hl/thm/int/INT_NEG_MINUS1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_le_trans' 'hl/thm/realarith/REAL_LTE_TRANS_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_sgn' 'hl/thm/Library/floor/FLOOR_FRAC_/3'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_reg_l' 'hl/thm/realax/HREAL_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_lt_mono_pos_r'#@#variant 'hl/thm/real/REAL_LE_DIV2_EQ_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_ge_cases' 'hl/thm/int/INT_LET_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pred_div2_up' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_INV_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_le_lin'#@#variant 'hl/thm/Library/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_lcm_l' 'hl/thm/arith/LE_ADD_'
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_pos'#@#variant 'hl/thm/Library/pratt/PHI_LOWERBOUND_1_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_le_lteq' 'hl/thm/realarith/REAL_LE_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lcm_divide_iff' 'hl/thm/int/INT_MAX_LT_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_sub' 'hl/thm/int/INT_SUB_ADD_'
0. 'coq/Coq_ZArith_BinInt_Z_opp_succ' 'hl/thm/Complex/complex_transc/CEXP_NEG_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_glb' 'hl/thm/Library/prime/DIVIDES_SUB_'
0. 'coq/Coq_ZArith_BinInt_Z_pow_pos_nonneg'#@#variant 'hl/thm/int/INT_LTE_ADD_'#@#variant
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_bounded/0'#@#variant 'hl/thm/real/REAL_LT_POW2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_clearbit_spec_prime'#@#variant 'hl/thm/realax/real_sub_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_0_sub'#@#variant 'hl/thm/int/INT_SUB_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_pred_succ' 'hl/thm/Multivariate/transcendentals/CSIN_CASN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_r' 'hl/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Init_Peano_plus_O_n' 'hl/thm/int/INT_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_le_compat_r' 'hl/thm/realax/NADD_LE_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_succ_le' 'hl/thm/Library/floor/FLOOR_DOUBLE_/0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_succ_r' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lxor_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant
0. 'coq/Coq_Reals_Ratan_atan_bound/1'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_BOUNDS_/1'#@#variant
0. 'coq/Coq_Reals_ROrderedType_ROrder_le_refl' 'hl/thm/Complex/cpoly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_Reals_Ratan_atan_bound/0'#@#variant 'hl/thm/Library/transc/ATN_/0'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_neg_iff' 'hl/thm/Multivariate/complexes/CX_INJ_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_land_m1_l'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_pos'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_POS_LE_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_le_mono_r' 'hl/thm/int/INT_LE_RADD_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_power_pos' 'hl/thm/Library/floor/RATIONAL_POW_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_1_l' 'hl/thm/realax/HREAL_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_l' 'hl/thm/Library/prime/DIVIDES_MUL_L_'
0. 'coq/Coq_QArith_Qcanon_Q_apart_0_1'#@#variant 'hl/thm/Multivariate/transcendentals/PI_NZ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_eq_opp_r' 'hl/thm/int/INT_NEG_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_1_l' 'hl/thm/Library/analysis/SUB_OLD_0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_pos'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_POS_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_nlt_1_r' 'hl/thm/Library/prime/NOT_LESS_0_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lnot_involutive' 'hl/thm/Multivariate/complexes/COMPLEX_INV_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_1_l'#@#variant 'hl/thm/realax/HREAL_ADD_LID_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_0_l' 'hl/thm/arith/ADD_CLAUSES_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_succ_r' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RNEG_'
0. 'coq/Coq_Reals_Rminmax_R_le_max_l' 'hl/thm/int/INT_MAX_MAX_/0'
0. 'coq/Coq_QArith_Qcanon_Qclt_not_eq' 'hl/thm/int/INT_LT_IMP_NE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_divide_iff' 'hl/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_pos_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_POS_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_land_0_r' 'hl/thm/arith/MULT_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_sub' 'hl/thm/int/INT_SUB_ADD_'
0. 'coq/Coq_NArith_BinNat_N_lor_diag' 'hl/thm/int/INT_MAX_ACI_3'
0. 'coq/Coq_Reals_Rtrigo1_cos_shift'#@#variant 'hl/thm/Library/transc/SIN_COS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_lxor_r' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RNEG_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_eq_le_incl' 'hl/thm/int/INT_LT_IMP_LE_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lcm_1_r' 'hl/thm/arith/ADD_0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_land_m1_l'#@#variant 'hl/thm/arith/MULT_CLAUSES_2'#@#variant
0. 'coq/Coq_ZArith_Znat_Zabs2N_inj_0' 'hl/thm/nums/ZERO_DEF_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_odd_2'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_divide_refl' 'hl/thm/realax/HREAL_LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_1_r'#@#variant 'hl/thm/int/INT_MUL_RZERO_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_shuffle3' 'hl/thm/arith/ADD_AC_2'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_eq_0_gt_0_cases'#@#variant 'hl/thm/arith/LE_1_1'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lxor_0_l' 'hl/thm/int/INT_MUL_LID_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_pos' 'hl/thm/int/INT_SGN_INEQS_3'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_eq_opp_l' 'hl/thm/int/INT_NEG_EQ_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_le_compat_r' 'hl/thm/Library/analysis/LESS_MONO_ADD_'
0. 'coq/Coq_Reals_RIneq_Rlt_irrefl' 'hl/thm/arith/LT_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_add_lt_sub_r' 'hl/thm/real/REAL_LE_SUB_LADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_1_l'#@#variant 'hl/thm/Library/prime/DIVIDES_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_ge_cases' 'hl/thm/realax/NADD_LE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_Zpos' 'hl/thm/realax/NADD_OF_NUM_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_lt_mono_r' 'hl/thm/arith/LE_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lcm_diag' 'hl/thm/real/REAL_MIN_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_le_mono' 'hl/thm/calc_int/REAL_LE_NEG2_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_min_r' 'hl/thm/real/REAL_MIN_MIN_/1'
0. 'coq/Coq_ZArith_Zorder_Zsucc_le_compat' 'hl/thm/Multivariate/transcendentals/ATN_MONO_LT_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_sgn_0' 'hl/thm/realax/NADD_INV_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_add_lt_sub_r' 'hl/thm/int/INT_LT_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_eq_le_incl' 'hl/thm/realax/TREAL_EQ_AP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_lt_trans' 'hl/thm/realarith/REAL_LET_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_succ' 'hl/thm/Multivariate/transcendentals/LOG_EXP_'
0. 'coq/Coq_Reals_Rfunctions_Rlt_pow'#@#variant 'hl/thm/real/REAL_POW_MONO_LT_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_le_compat_l' 'hl/thm/Library/prime/DIVIDES_MUL_L_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_ngt' 'hl/thm/realax/real_lt_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_quot_abs' 'hl/thm/Library/analysis/ABS_DIV_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_succ_diag_r' 'hl/thm/int/INT_ABS_LE_'
0. 'coq/Coq_Bool_Bool_eqb_refl' 'hl/thm/realarith/REAL_LE_SQUARE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_ge_cases' 'hl/thm/arith/LTE_CASES_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_divide_r' 'hl/thm/real/REAL_MIN_MIN_/1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_sub_r' 'hl/thm/Library/prime/DIVIDES_SUB_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_max_l' 'hl/thm/realax/NADD_LE_ADD_'
0. 'coq/Coq_ZArith_Znat_Z2N_inj_succ'#@#variant 'hl/thm/Multivariate/complexes/CX_SQRT_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sub_le_mono_r' 'hl/thm/arith/EXP_MONO_LE_IMP_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_1_l' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_2_r'#@#variant 'hl/thm/arith/EXP_2_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lxor_lnot_lnot' 'hl/thm/int/INT_NEG_MUL2_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_neg_iff' 'hl/thm/Complex/complexnumbers/CX_INJ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_lt_mono_r' 'hl/thm/realax/NADD_LE_RADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_le_mono_l' 'hl/thm/arith/EXP_MONO_LE_IMP_'
0. 'coq/Coq_Reals_Ratan_Ratan_seq_opp' 'hl/thm/real/REAL_POW_INV_'
0. 'coq/Coq_ZArith_Zlogarithm_log_sup_correct1'#@#variant 'hl/thm/realarith/REAL_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_factor_l' 'hl/thm/real/REAL_MAX_MAX_/0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_nge' 'hl/thm/int/INT_LT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_double_spec' 'hl/thm/int/INT_SUB_LZERO_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_odd_1'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zplus_gt_compat_r' 'hl/thm/arith/EXP_MONO_LE_IMP_'
0. 'coq/Coq_NArith_BinNat_N_log2_up_le_mono' 'hl/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_glb_lt' 'hl/thm/Library/integer/INT_DIVIDES_SUB_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_add' 'hl/thm/int/INT_SUB_ADD_'
0. 'coq/Coq_ZArith_BinInt_Z_abs_eq'#@#variant 'hl/thm/Multivariate/complexes/REAL_IMP_CNJ_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_le_compat_r' 'hl/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_glb' 'hl/thm/Library/prime/DIVIDES_ADD_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_le_compat_l' 'hl/thm/Library/integer/INT_DIVIDES_MUL_L_'
0. 'coq/Coq_QArith_Qcanon_Qcle_refl' 'hl/thm/Library/prime/DIVIDES_REFL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_xI_succ_xO' 'hl/thm/calc_num/ARITH_4'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ge_le_iff' 'hl/thm/int/INT_GT_'
0. 'coq/__constr_Coq_Init_Peano_le_0_1' 'hl/thm/realax/NADD_EQ_REFL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_le_compat_l' 'hl/thm/real/REAL_LT_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_le_compat_r' 'hl/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div2_double' 'hl/thm/Library/transc/ATN_/2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftl_opp_r' 'hl/thm/int/INT_SUB_RNEG_'
0. 'coq/Coq_Reals_Exp_prop_exp_plus' 'hl/thm/Library/transc/REAL_EXP_SUB_'
0. 'coq/Coq_QArith_Qminmax_Q_min_le_iff' 'hl/thm/real/REAL_MIN_LE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_nle_gt' 'hl/thm/Library/analysis/real_le_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_divide_iff' 'hl/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_QArith_QArith_base_Qeq_refl' 'hl/thm/Library/integer/INT_DIVIDES_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_mod_idemp_l' 'hl/thm/arith/MOD_EXP_MOD_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_inj_wd' 'hl/thm/nums/SUC_INJ_'
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_pos'#@#variant 'hl/thm/Library/floor/INTEGER_NEG_'
0. 'coq/Coq_QArith_Qcanon_Qcle_refl' 'hl/thm/Library/integer/INT_DIVIDES_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_rem_rem' 'hl/thm/arith/MOD_MOD_REFL_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lt_neq' 'hl/thm/real/REAL_LT_IMP_NE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_le_incl' 'hl/thm/realax/NADD_EQ_IMP_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_add_r' 'hl/thm/Complex/cpoly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pred_le_mono' 'hl/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_factor_r' 'hl/thm/arith/LE_ADDR_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lor_0_l' 'hl/thm/realax/REAL_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_lt_iff' 'hl/thm/int/INT_MIN_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_lt_mono_r' 'hl/thm/realax/NADD_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_2' 'hl/thm/Multivariate/transcendentals/SIN_0_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_refl' 'hl/thm/int/INT_LE_REFL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_divide/0' 'hl/thm/Library/analysis/SUB_LESS_EQ_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_opp_opp' 'hl/thm/int/INT_NEG_MUL2_'
0. 'coq/Coq_QArith_Qabs_Qabs_Qle_condition' 'hl/thm/int/INT_BOUNDS_LT_'
0. 'coq/Coq_Reals_Rminmax_R_max_lub_lt_iff' 'hl/thm/int/INT_MAX_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_lnot_diag'#@#variant 'hl/thm/int/INT_ADD_RINV_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div2_succ_double' 'hl/thm/Library/transc/ATN_/2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_le_lin'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_LE_X_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_min_glb_lt_iff' 'hl/thm/int/INT_LT_MIN_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_le_mono_l' 'hl/thm/arith/LE_ADD_LCANCEL_'
0. 'coq/Coq_NArith_BinNat_N_log2_up_le_lin'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_LT_X_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sgn_opp' 'hl/thm/Complex/complex_transc/CSIN_NEG_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_opp' 'hl/thm/Multivariate/transcendentals/CX_SIN_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_gt_lt_iff' 'hl/thm/int/INT_GE_'
0. 'coq/Coq_ZArith_Zlogarithm_log_sup_correct1'#@#variant 'hl/thm/Library/floor/INTEGER_CLOSED_0'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_neg_xO'#@#variant 'hl/thm/Complex/complex_transc/CX_CCOS_'
0. 'coq/Coq_NArith_BinNat_N_odd_2'#@#variant 'hl/thm/Multivariate/complexes/RE_II_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_min_l' 'hl/thm/Library/analysis/SUB_LESS_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ldiff_ldiff_l' 'hl/thm/Library/prime/EXP_EXP_'
0. 'coq/Coq_QArith_Qcanon_Qcmult_1_l'#@#variant 'hl/thm/realax/REAL_MUL_LID_'#@#variant
0. 'coq/Coq_Arith_Even_even_mult_aux/0' 'hl/thm/arith/LT_MULT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_lt_lin'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_LT_X_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_lt_mono_r'#@#variant 'hl/thm/Library/analysis/REAL_LT_LMUL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_add_lt_sub_r' 'hl/thm/real/REAL_LT_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_clearbit_spec_prime'#@#variant 'hl/thm/Complex/complexnumbers/complex_div_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_lub_iff' 'hl/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_lt_mono_pos_r'#@#variant 'hl/thm/real/REAL_LT_DIV2_EQ_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_div2_nonneg'#@#variant 'hl/thm/Multivariate/complexes/REAL_INV_EQ_'#@#variant
0. 'coq/Coq_QArith_Qminmax_Q_min_glb' 'hl/thm/Library/prime/DIVIDES_SUB_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_le_mono' 'hl/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qplus_lt_l' 'hl/thm/int/INT_LT_RADD_'
0. 'coq/Coq_Reals_Rtrigo_def_sin_antisym' 'hl/thm/Multivariate/vectors/SQRT_INV_'
0. 'coq/Coq_Arith_Gt_gt_Sn_n' 'hl/thm/Library/pocklington/PHI_LIMIT_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_glb_iff' 'hl/thm/real/REAL_LT_MIN_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_total' 'hl/thm/Library/analysis/LESS_CASES_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_pred_double_spec' 'hl/thm/nums/BIT1_DEF_'
0. 'coq/Coq_ZArith_BinInt_Z_abs_sub_triangle' 'hl/thm/int/INT_SUB_ABS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_pos'#@#variant 'hl/thm/Library/pocklington/PHI_LOWERBOUND_1_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_gt_lt_iff' 'hl/thm/arith/GT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_ngt' 'hl/thm/int/INT_LT_'
0. 'coq/Coq_QArith_Qreduction_Qred_opp' 'hl/thm/Multivariate/transcendentals/ATN_NEG_'
0. 'coq/Coq_Reals_Rfunctions_pow_le'#@#variant 'hl/thm/Library/floor/INTEGER_CLOSED_4'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_inj_wd' 'hl/thm/calc_num/ARITH_57'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_lt_mono' 'hl/thm/int/INT_LE_NEG2_'
0. 'coq/Coq_QArith_Qminmax_Q_min_glb' 'hl/thm/Library/integer/INT_DIVIDES_SUB_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_1_l'#@#variant 'hl/thm/arith/ADD_CLAUSES_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_le_lt_mono' 'hl/thm/real/REAL_LET_ADD2_'
0. 'coq/Coq_Arith_PeanoNat_Nat_nle_gt' 'hl/thm/realarith/REAL_NOT_LT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_pred_l' 'hl/thm/Library/pratt/PHI_LIMIT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_involutive' 'hl/thm/int/INT_SGN_INT_SGN_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_le_compat_r' 'hl/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_mul_l' 'hl/thm/Library/integer/INT_DIVIDES_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_divide_cancel_r' 'hl/thm/Library/prime/DIVIDES_RMUL2_EQ_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_div_le_mono'#@#variant 'hl/thm/real/REAL_LE_RMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_1_l'#@#variant 'hl/thm/arith/ADD_CLAUSES_0'#@#variant
0. 'coq/Coq_Reals_ROrderedType_ROrder_not_ge_lt' 'hl/thm/realarith/REAL_LTE_TOTAL_'
0. 'coq/Coq_ZArith_BinInt_Z_add_simpl_l' 'hl/thm/int/INT_ADD_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lcm_0_r' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_pos' 'hl/thm/calc_num/ARITH_72'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_add_r' 'hl/thm/arith/EXP_ADD_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_divide_refl' 'hl/thm/realax/NADD_EQ_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_r' 'hl/thm/realax/HREAL_LE_MUL_RCANCEL_IMP_'
0. 'coq/Coq_Strings_Ascii_ascii_N_embedding' 'hl/thm/Library/floor/INT_OF_REAL_OF_INT_'
0. 'coq/Coq_ZArith_BinInt_Z_max_lub_l' 'hl/thm/Library/prime/DIVIDES_RMUL2_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_is_nonneg'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_POS_'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_xO'#@#variant 'hl/thm/Multivariate/transcendentals/CX_EXP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_lt_mono_pos_l'#@#variant 'hl/thm/Library/analysis/REAL_LE_LMUL_LOCAL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_nonneg_l'#@#variant 'hl/thm/real/REAL_LT_LMUL_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_le_compat_r' 'hl/thm/realax/NADD_LE_RMUL_'
0. 'coq/Coq_Reals_RIneq_Rmult_lt_reg_r'#@#variant 'hl/thm/real/REAL_LT_RCANCEL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_add_cancel_r' 'hl/thm/Library/integer/INT_DIVIDES_ADD_REVR_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_0_r' 'hl/thm/Library/prime/DIVIDES_ONE_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Zopp_mult_distr_l' 'hl/thm/arith/ADD_CLAUSES_2'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_cancel_l' 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_ADD_LCANCEL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_lor' 'hl/thm/Multivariate/transcendentals/REAL_EXP_SUB_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lxor_nilpotent' 'hl/thm/int/INT_SUB_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_nle_gt' 'hl/thm/realax/real_lt_'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_double'#@#variant 'hl/thm/int/int_neg_th_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_cancel_l' 'hl/thm/realax/HREAL_EQ_ADD_LCANCEL_'
0. 'coq/Coq_Numbers_Cyclic_DoubleCyclic_DoubleBase_wB_pos'#@#variant 'hl/thm/int/INT_POS_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_lt_mono_r' 'hl/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_lt_mono_r' 'hl/thm/realax/NADD_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_ge_cases' 'hl/thm/realax/HREAL_LE_TOTAL_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_invc' 'hl/thm/Complex/complex_transc/CX_CCOS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_lcm_r' 'hl/thm/real/REAL_MAX_MAX_/1'
0. 'coq/Coq_ZArith_BinInt_Z_setbit_spec_prime'#@#variant 'hl/thm/realax/real_div_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_divide_mono_r' 'hl/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_le_iff' 'hl/thm/real/REAL_MIN_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_pos_l'#@#variant 'hl/thm/real/REAL_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_0_discr' 'hl/thm/nums/NOT_SUC_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_div_mul_le' 'hl/thm/arith/MULT_DIV_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_le_compat_l' 'hl/thm/realax/TREAL_LE_LADD_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_greatest' 'hl/thm/Library/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_mul_lt_mono_r' 'hl/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_ZArith_BinInt_Z_gcd_greatest' 'hl/thm/Library/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_mod_idemp_l' 'hl/thm/arith/MOD_MULT_LMOD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_nlt_ge' 'hl/thm/realarith/REAL_NOT_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_neg_iff'#@#variant 'hl/thm/int/INT_SGN_EQ_2'#@#variant
0. 'coq/Coq_Strings_Ascii_ascii_N_embedding' 'hl/thm/Multivariate/complexes/RE_CX_'#@#variant
0. 'coq/Coq_ZArith_Znat_Zabs2Nat_inj_0' 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_simpl_r' 'hl/thm/real/REAL_SUB_ADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_succ_not_1' 'hl/thm/Multivariate/transcendentals/REAL_EXP_NZ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_land_0_r' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RZERO_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_pos_neg'#@#variant 'hl/thm/real/REAL_NEG_GE0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_le_mono_r' 'hl/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_NArith_BinNat_N_divide_add_r' 'hl/thm/Library/prime/DIVIDES_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_eq_0_gt_0_cases'#@#variant 'hl/thm/Library/analysis/LESS_0_CASES_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_max_0_l' 'hl/thm/realax/REAL_ADD_LID_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_max_l' 'hl/thm/real/REAL_MAX_MAX_/0'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_of_pos' 'hl/thm/int/int_of_num_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_le_mono_l' 'hl/thm/arith/LE_ADD_LCANCEL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_le_mono' 'hl/thm/Multivariate/transcendentals/ATN_MONO_LT_'
0. 'coq/Coq_ZArith_BinInt_Z2Pos_inj_pred'#@#variant 'hl/thm/Multivariate/complexes/CX_SQRT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_factor_l' 'hl/thm/arith/LE_ADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lcm_0_r' 'hl/thm/Library/prime/INDEX_0_'#@#variant
0. 'coq/Coq_ZArith_Zpower_two_power_nat_S'#@#variant 'hl/thm/int/int_abs_th_'
0. 'coq/Coq_ZArith_BinInt_Z_add_succ_l' 'hl/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_ZArith_BinInt_Z_divide_refl' 'hl/thm/arith/LE_REFL_'
0. 'coq/Coq_Reals_Rtrigo1_sin_gt_0'#@#variant 'hl/thm/Library/transc/SIN_POS_PI_LE_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_div2' 'hl/thm/Multivariate/complexes/CX_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_le_trans' 'hl/thm/realarith/REAL_LTE_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_clearbit_spec_prime'#@#variant 'hl/thm/realax/real_sub_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_le_compat_l' 'hl/thm/realax/NADD_MUL_WELLDEF_LEMMA_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_add_lt_sub_r' 'hl/thm/int/INT_LT_SUB_LADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_gt_cases' 'hl/thm/arith/LTE_CASES_'
0. 'coq/Coq_Reals_Rminmax_R_max_le_compat_r' 'hl/thm/arith/EXP_MONO_LE_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_1_l' 'hl/thm/arith/ADD_CLAUSES_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lcm_divide_iff' 'hl/thm/int/INT_MAX_LE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_inj_wd' 'hl/thm/Complex/complexnumbers/CNJ_INJ_'
0. 'coq/Coq_Reals_RIneq_cond_pos'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_POS_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_move_0_r' 'hl/thm/realarith/REAL_SUB_0_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_opp_inj_wd' 'hl/thm/nums/IND_SUC_INJ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_le_mono_r_iff'#@#variant 'hl/thm/real/REAL_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_assoc' 'hl/thm/realax/NADD_ADD_ASSOC_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_lub_l' 'hl/thm/Library/prime/DIVIDES_RMUL2_'
0. 'coq/Coq_Reals_RIneq_Ropp_Ropp_IZR' 'hl/thm/Multivariate/transcendentals/CX_TAN_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lnot_0_l' 'hl/thm/int/INT_NEG_MINUS1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_le_lt_mono' 'hl/thm/real/REAL_LET_ADD2_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_lcm_r' 'hl/thm/real/REAL_MAX_MAX_/1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_lor'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_MUL_'#@#variant
0. 'coq/Coq_Reals_Exp_prop_exp_pos_pos'#@#variant 'hl/thm/Library/transc/SQRT_POS_LE_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lcm_1_l'#@#variant 'hl/thm/int/INT_NEG_MINUS1_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_iff' 'hl/thm/realax/REAL_OF_NUM_EQ_'
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_pos_eq'#@#variant 'hl/thm/Library/floor/REAL_FLOOR_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ldiff_land' 'hl/thm/Complex/complexnumbers/complex_sub_'
0. 'coq/Coq_NArith_BinNat_N_lt_ge_cases' 'hl/thm/int/INT_LET_TOTAL_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_sqrt' 'hl/thm/int/int_sgn_th_'
0. 'coq/Coq_NArith_BinNat_N_ones_equiv'#@#variant 'hl/thm/calc_num/ARITH_9'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_quot_pos'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_LT_1_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_sin_gt_0'#@#variant 'hl/thm/Library/transc/SIN_POS_PI2_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_r' 'hl/thm/realax/NADD_LE_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_0_r'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_lt_mono_pos_l'#@#variant 'hl/thm/real/REAL_LE_LMUL_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_xO_r' 'hl/thm/calc_int/REAL_MUL_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_null'#@#variant 'hl/thm/int/INT_SGN_EQ_1'#@#variant
0. 'coq/Coq_ZArith_Znat_Z2N_inj_div2' 'hl/thm/Multivariate/complexes/IM_CNJ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_le_compat_r' 'hl/thm/Library/prime/LESS_MONO_ADD_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_le_mono' 'hl/thm/arith/FACT_MONO_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_glb' 'hl/thm/Library/integer/INT_DIVIDES_SUB_'
0. 'coq/Coq_QArith_Qminmax_Q_min_comm' 'hl/thm/realax/NADD_ADD_SYM_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_lt_mono' 'hl/thm/real/REAL_LT_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_rem_opp_l_prime' 'hl/thm/int/INT_MUL_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_divide_r' 'hl/thm/real/REAL_MIN_MIN_/1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_lt_mono_r'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LE_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_le_max_l' 'hl/thm/realax/NADD_LE_ADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_lt_mono_r' 'hl/thm/int/INT_LT_RADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_null'#@#variant 'hl/thm/int/INT_SGN_EQ_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sub_le_mono_r' 'hl/thm/Library/prime/DIVIDES_EXP_'
0. 'coq/Coq_ZArith_BinInt_Z_add_pred_r' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_le_mono' 'hl/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_opp_r' 'hl/thm/Multivariate/complexes/complex_div_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_pos'#@#variant 'hl/thm/Multivariate/complexes/REAL_INV_EQ_'#@#variant
0. 'coq/Coq_Arith_Lt_le_not_lt' 'hl/thm/int/INT_LET_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_lxor_r' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RNEG_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_le_iff' 'hl/thm/int/INT_LT_MAX_'
0. 'coq/Coq_PArith_BinPos_Pos_lt_add_diag_r' 'hl/thm/realax/NADD_LE_ADD_'
0. 'coq/Coq_Reals_R_sqrt_sqrt_lt_R0'#@#variant 'hl/thm/Library/pocklington/PHI_LOWERBOUND_1_STRONG_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_mul_lt_mono_r' 'hl/thm/int/INT_LE_RADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_shiftl_lor' 'hl/thm/realax/NADD_RDISTRIB_'
0. 'coq/Coq_ZArith_BinInt_Z_pred_succ' 'hl/thm/Library/transc/ATN_TAN_'
0. 'coq/Coq_Reals_RIneq_Rminus_0_l' 'hl/thm/int/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_involutive' 'hl/thm/Multivariate/complexes/CNJ_CNJ_'#@#variant
0. 'coq/Coq_Reals_Ratan_atan_increasing' 'hl/thm/Multivariate/transcendentals/ATN_MONO_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_pos_cancel_r'#@#variant 'hl/thm/int/INT_LT_MUL_EQ_1'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_min_le_compat_l' 'hl/thm/Library/integer/INT_DIVIDES_MUL_L_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_0_sub'#@#variant 'hl/thm/int/INT_SUB_LT_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_succ_l' 'hl/thm/arith/MULT_1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_simpl_r' 'hl/thm/real/REAL_SUB_ADD_'
0. 'coq/Coq_PArith_BinPos_Pos_lt_succ_diag_r' 'hl/thm/real/REAL_ABS_LE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mod_mod' 'hl/thm/arith/MOD_MOD_REFL_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Zlt_Qlt' 'hl/thm/int/INT_OF_NUM_GT_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_xO_r' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_pos'#@#variant 'hl/thm/Library/floor/INTEGER_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_lt_trans' 'hl/thm/realarith/REAL_LET_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_rem_opp_l_prime' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_r' 'hl/thm/Library/prime/LESS_MONO_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_0_l' 'hl/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_even_spec' 'hl/thm/Multivariate/complexes/real_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Zle_Qle' 'hl/thm/real/REAL_OF_NUM_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_ngt' 'hl/thm/realax/real_lt_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_0_l' 'hl/thm/arith/MULT_CLAUSES_2'#@#variant
0. 'coq/Coq_fourier_Fourier_util_Rlt_zero_pos_plus1'#@#variant 'hl/thm/Multivariate/transcendentals/REAL_EXP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_divide_mono_r' 'hl/thm/Library/analysis/LESS_MONO_ADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_le_mono' 'hl/thm/realax/NADD_INV_WELLDEF_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_eq_0_iff' 'hl/thm/arith/EXP_EQ_0_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_0' 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lnot_0_l' 'hl/thm/int/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_opp_sub_distr' 'hl/thm/real/REAL_SUB_LNEG_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_sub_le_add_r' 'hl/thm/int/INT_LT_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_ge_cases' 'hl/thm/arith/LTE_CASES_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_add_lt_sub_r' 'hl/thm/int/INT_LT_SUB_LADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_le_mono_l' 'hl/thm/arith/LE_ADD_LCANCEL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_land_m1_l'#@#variant 'hl/thm/arith/MULT_CLAUSES_2'#@#variant
0. 'coq/Coq_Reals_Ratan_ps_atan_opp' 'hl/thm/int/INT_ABS_SGN_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_le_mono_l' 'hl/thm/int/INT_LE_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_lt_mono_r' 'hl/thm/realax/HREAL_LE_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_move_0_r' 'hl/thm/real/REAL_LNEG_UNIQ_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_log2' 'hl/thm/int/int_abs_th_'
0. 'coq/Coq_ZArith_Zpow_facts_Zpower_pos_1_r' 'hl/thm/Multivariate/complexes/COMPLEX_POW_1_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_divide_mono_l' 'hl/thm/realax/NADD_LE_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_0_r' 'hl/thm/arith/ADD1_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_sin_ge_0'#@#variant 'hl/thm/Library/transc/COS_POS_PI2_'#@#variant
0. 'coq/Coq_Arith_Compare_dec_not_eq' 'hl/thm/real/REAL_LT_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_sub_r' 'hl/thm/Library/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_clearbit_spec_prime'#@#variant 'hl/thm/int/INT_SUB_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_succ_r' 'hl/thm/arith/LT_SUC_LE_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_succ_pred_or' 'hl/thm/Complex/complex_transc/CEXP_CLOG_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sub_move_0_r' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_le_mono_l' 'hl/thm/realax/HREAL_LE_ADD_LCANCEL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_null_iff' 'hl/thm/calc_num/ARITH_52'
0. 'coq/Coq_NArith_BinNat_N_add_lt_mono_l' 'hl/thm/arith/LE_ADD_LCANCEL_'
0. 'coq/Coq_ZArith_Zeven_Zeven_quot2'#@#variant 'hl/thm/Multivariate/transcendentals/EXP_LOG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_le_mono_r' 'hl/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftr_opp_r' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_le_incl' 'hl/thm/arith/LT_IMP_LE_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_is_pos'#@#variant 'hl/thm/int/INT_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_1_mul_pos'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_LE_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_le_mono' 'hl/thm/Library/transc/ATN_MONO_LT_'
0. 'coq/Coq_ZArith_Zquot_Zrem_opp_l' 'hl/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_succ_l' 'hl/thm/arith/ADD_CLAUSES_2'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_cancel_r' 'hl/thm/realax/HREAL_EQ_ADD_RCANCEL_'
0. 'coq/Coq_NArith_BinNat_N_lt_1_mul_pos'#@#variant 'hl/thm/realarith/REAL_LTE_ADD_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_le_mono_l' 'hl/thm/int/INT_LT_LADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sub_1_r'#@#variant 'hl/thm/arith/ADD1_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_max_lub_iff' 'hl/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_ZArith_BinInt_Z_opp_inj_wd' 'hl/thm/Complex/complexnumbers/CNJ_INJ_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_le_mono_l' 'hl/thm/int/INT_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_add_r' 'hl/thm/Complex/cpoly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_ngt' 'hl/thm/realarith/REAL_NOT_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pred_succ' 'hl/thm/Library/transc/ATN_TAN_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_pos'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_POS_LT_'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qcopp_involutive' 'hl/thm/Multivariate/complexes/CNJ_CNJ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_neq_succ_0' 'hl/thm/nums/IND_SUC_0_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_le_lin'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_LE_X_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_div2' 'hl/thm/Multivariate/transcendentals/CX_SIN_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_neq_0_succ' 'hl/thm/arith/FACT_NZ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_refl' 'hl/thm/Complex/cpoly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_1'#@#variant 'hl/thm/nums/ZERO_DEF_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div_0_l' 'hl/thm/arith/DIV_0_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_abs' 'hl/thm/Multivariate/transcendentals/CX_SIN_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_min_glb_iff' 'hl/thm/int/INT_LE_MIN_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_eq_0' 'hl/thm/int/INT_ENTIRE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_double_mul' 'hl/thm/int/INT_MUL_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_odd_0' 'hl/thm/nums/ZERO_DEF_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LE_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_xO_r' 'hl/thm/real/REAL_NEG_RMUL_'
0. 'coq/Coq_ZArith_Zeven_Zquot2_opp' 'hl/thm/Library/transc/SIN_NEG_'
0. 'coq/Coq_PArith_BinPos_Pos_min_le_compat_l' 'hl/thm/realax/NADD_MUL_WELLDEF_LEMMA_'
0. 'coq/Coq_ZArith_Znumtheory_not_prime_1'#@#variant 'hl/thm/Library/integer/INT_PRIME_1_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_le_refl' 'hl/thm/Multivariate/misc/GE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_succ_r' 'hl/thm/calc_int/REAL_MUL_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_opp_r' 'hl/thm/real/REAL_SUB_RNEG_'
0. 'coq/Coq_Reals_RIneq_opp_IZR' 'hl/thm/Complex/complexnumbers/CX_INV_'
0. 'coq/Coq_ZArith_BinInt_Z_add_le_mono_r' 'hl/thm/arith/LT_ADD_RCANCEL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_cancel_l' 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_lt_mono'#@#variant 'hl/thm/real/REAL_LT_MUL2_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_mod_idemp_l' 'hl/thm/arith/MOD_EXP_MOD_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_lt_mono_pos_r'#@#variant 'hl/thm/real/REAL_LE_DIV2_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_refl' 'hl/thm/Library/poly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_Arith_Even_odd_plus_r' 'hl/thm/realarith/REAL_LET_ADD_'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tplus_assoc_r_stable' 'hl/thm/Library/multiplicative/MULTIPLICATIVE_TAU_'
0. 'coq/Coq_Arith_PeanoNat_Nat_pred_succ' 'hl/thm/Multivariate/transcendentals/CSIN_CASN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_square_spec' 'hl/thm/arith/MULT_2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_ldiff_diag' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_REFL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Zminus_succ_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LNEG_'
0. 'coq/Coq_Reals_Ratan_atan_increasing' 'hl/thm/Library/transc/ATN_MONO_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_le_mono_l' 'hl/thm/arith/EXP_MONO_LE_IMP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_max_l' 'hl/thm/realax/NADD_LE_ADD_'
0. 'coq/Coq_ZArith_BinInt_Z_sgn_null_iff' 'hl/thm/real/REAL_ABS_ZERO_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_even_opp' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_NEG_'
0. 'coq/Coq_Reals_SeqProp_CV_minus' 'hl/thm/Library/analysis/SER_SUB_'
0. 'coq/Coq_QArith_QArith_base_Qlt_le_trans' 'hl/thm/int/INT_LTE_TRANS_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_le_mono' 'hl/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_lt_mono_l' 'hl/thm/arith/LT_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_lt_iff' 'hl/thm/real/REAL_MIN_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_sub_r' 'hl/thm/Library/integer/INT_DIVIDES_SUB_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_shuffle3' 'hl/thm/int/INT_ADD_AC_2'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_clearbit_spec_prime'#@#variant 'hl/thm/int/INT_SUB_RNEG_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_nonneg'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_POS_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sub_diag' 'hl/thm/real/REAL_SUB_REFL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_abs_involutive' 'hl/thm/real/REAL_SGN_REAL_SGN_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lcm_1_l'#@#variant 'hl/thm/int/INT_NEG_MINUS1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_gcd_divide_l' 'hl/thm/Library/analysis/SUB_LESS_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_nle_gt' 'hl/thm/arith/NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lcm_diag' 'hl/thm/arith/MULT_2_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_glb_lt' 'hl/thm/Complex/cpoly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sub_min_distr_l' 'hl/thm/arith/EXP_ADD_'
0. 'coq/Coq_ZArith_BinInt_Z_rem_0_l' 'hl/thm/arith/MOD_0_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_log2_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftl_succ_r' 'hl/thm/Multivariate/transcendentals/RPOW_NEG_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_ngt' 'hl/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_ngt' 'hl/thm/int/INT_LT_'
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_divide/0' 'hl/thm/real/REAL_MIN_MIN_/0'
0. 'coq/Coq_Arith_EqNat_eq_nat_refl' 'hl/thm/Multivariate/misc/GE_REFL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_0_l' 'hl/thm/int/INT_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_lt_mono' 'hl/thm/int/INT_LE_NEG2_'
0. 'coq/Coq_Reals_Rtrigo1_sin_ge_0'#@#variant 'hl/thm/Multivariate/transcendentals/SIN_POS_PI2_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_is_nonneg'#@#variant 'hl/thm/Library/floor/RATIONAL_NUM_'
0. 'coq/Coq_ZArith_BinInt_Z_lnot_lxor_l' 'hl/thm/int/INT_NEG_LMUL_'
0. 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_le_lt_iff' 'hl/thm/arith/NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_lt_mono_pos_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LE_EQ_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_2'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_pos'#@#variant 'hl/thm/Library/transc/REAL_EXP_LT_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sub_le_mono_r' 'hl/thm/realax/HREAL_LE_MUL_RCANCEL_IMP_'
0. 'coq/Coq_Arith_Even_odd_plus_l' 'hl/thm/Multivariate/transcendentals/RPOW_LT_1_'#@#variant
0. 'coq/Coq_Reals_Rtopology_open_set_P3' 'hl/thm/Multivariate/realanalysis/REAL_NEGLIGIBLE_UNION_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_succ_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LNEG_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_lor' 'hl/thm/Library/transc/REAL_EXP_ADD_'
0. 'coq/Coq_Reals_Rtopology_open_set_P2' 'hl/thm/Multivariate/realanalysis/REAL_NEGLIGIBLE_UNION_'#@#variant
0. 'coq/Coq_ZArith_Znat_Z2Nat_inj_pred' 'hl/thm/int/int_neg_th_'
0. 'coq/Coq_NArith_BinNat_N_log2_pos'#@#variant 'hl/thm/Library/pratt/PHI_LOWERBOUND_1_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_involutive' 'hl/thm/Multivariate/complexes/CNJ_CNJ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_pos_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_POS_LE_'#@#variant
0. 'coq/Coq_Arith_Max_le_max_l' 'hl/thm/int/INT_MAX_MAX_/0'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_add_r' 'hl/thm/real/REAL_MAX_MAX_/0'
0. 'coq/Coq_Arith_PeanoNat_Nat_div2_double'#@#variant 'hl/thm/Library/transc/ATN_TAN_'
0. 'coq/Coq_NArith_BinNat_N_log2_succ_le' 'hl/thm/Library/floor/FLOOR_DOUBLE_/0'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_succ_inj_wd' 'hl/thm/real/REAL_EQ_INV2_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_2' 'hl/thm/int/INT_NEG_0_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_comm' 'hl/thm/realax/NADD_ADD_SYM_'
0. 'coq/Coq_QArith_Qround_Qceiling_Z' 'hl/thm/Multivariate/vectors/LIFT_DROP_0'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_1_r'#@#variant 'hl/thm/arith/MULT_0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lor_m1_r'#@#variant 'hl/thm/Library/prime/INDEX_0_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lcm_diag' 'hl/thm/int/INT_MAX_ACI_3'
0. 'coq/Coq_Numbers_Cyclic_Int31_Ring31_Int31ring_add_comm'#@#variant 'hl/thm/realax/TREAL_MUL_SYM_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_cancel_l' 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_ADD_LCANCEL_'
0. 'coq/Coq_Reals_Rtrigo1_tan_neg' 'hl/thm/Multivariate/transcendentals/CNJ_CTAN_'#@#variant
0. 'coq/Coq_Reals_Rfunctions_pow_nonzero' 'hl/thm/Library/transc/POW_ZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_lcm_r' 'hl/thm/real/REAL_MAX_MAX_/1'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_clearbit_spec_prime'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_lt_mono_l' 'hl/thm/int/INT_LE_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_inj_wd' 'hl/thm/Multivariate/transcendentals/REAL_EXP_INJ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_move_r' 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_SUB_LADD_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_double' 'hl/thm/Complex/complexnumbers/CX_INV_'
0. 'coq/Coq_NArith_BinNat_N_mul_lt_mono_nonneg'#@#variant 'hl/thm/real/REAL_LT_MUL2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_pred_l' 'hl/thm/int/INT_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_ge_cases' 'hl/thm/realax/HREAL_LE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_le_mono_r_iff'#@#variant 'hl/thm/Library/analysis/REAL_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_Reals_Exp_prop_exp_pos_pos'#@#variant 'hl/thm/nums/NUM_REP_RULES_1'
0. 'coq/Coq_PArith_BinPos_Pos_max_le_compat_r' 'hl/thm/Library/prime/DIVIDES_MUL_R_'
0. 'coq/Coq_ZArith_BinInt_Z_odd_2'#@#variant 'hl/thm/Multivariate/complexes/IM_II_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_involutive' 'hl/thm/int/INT_ABS_ABS_'
0. 'coq/Coq_Reals_R_sqr_Rsqr_neg' 'hl/thm/int/INT_ABS_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_1_l' 'hl/thm/arith/MULT_0'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_succ_diag_r' 'hl/thm/arith/LT_POW2_REFL_'#@#variant
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_iff' 'hl/thm/Multivariate/vectors/DROP_EQ_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_log2_pos'#@#variant 'hl/thm/Multivariate/transcendentals/REAL_EXP_LT_1_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_log2_nonneg' 'hl/thm/Multivariate/transcendentals/ATN_BOUNDS_/0'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_lt_le_mono' 'hl/thm/arith/LTE_ADD2_'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tred_factor3_stable' 'hl/thm/Library/multiplicative/MULTIPLICATIVE_SIGMA_'
0. 'coq/Coq_ZArith_Znumtheory_not_prime_1'#@#variant 'hl/thm/Library/prime/PRIME_1_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_div2' 'hl/thm/Complex/complex_transc/CX_CSIN_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lxor_nilpotent' 'hl/thm/int/INT_SUB_REFL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sgn_sgn' 'hl/thm/real/REAL_SGN_REAL_SGN_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_ge_cases' 'hl/thm/realarith/REAL_LTE_TOTAL_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_add_comm' 'hl/thm/realax/NADD_MUL_SYM_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_opp' 'hl/thm/real/REAL_ABS_SGN_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_lub_lt_iff' 'hl/thm/int/INT_MAX_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_neq' 'hl/thm/int/INT_LT_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_pos'#@#variant 'hl/thm/int/INT_SGN_INEQS_0'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_le_lin'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_lub_l' 'hl/thm/Library/integer/INT_DIVIDES_RMUL2_'
0. 'coq/Coq_NArith_BinNat_N_divide_refl' 'hl/thm/realax/NADD_LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_mod' 'hl/thm/arith/MOD_MULT_MOD2_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pow_0_l' 'hl/thm/arith/MOD_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_lt_iff' 'hl/thm/int/INT_LT_MAX_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_eq_mul_0' 'hl/thm/Complex/complexnumbers/COMPLEX_ENTIRE_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_sub_diag' 'hl/thm/int/INT_SUB_REFL_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_of_Qc_bis' 'hl/thm/Multivariate/complexes/REAL_CX_'#@#variant
0. 'coq/Coq_Reals_RIneq_Ropp_mult_distr_l' 'hl/thm/Multivariate/transcendentals/REAL_INV_RPOW_'
0. 'coq/Coq_NArith_BinNat_N_mul_divide_mono_r' 'hl/thm/realax/NADD_LE_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pred_div2_up' 'hl/thm/Complex/complexnumbers/CX_NEG_'
0. 'coq/Coq_NArith_BinNat_N_min_0_r' 'hl/thm/int/INT_MUL_RZERO_'#@#variant
0. 'coq/Coq_QArith_QOrderedType_QOrder_lt_le_trans' 'hl/thm/int/INT_LTE_TRANS_'
0. 'coq/Coq_NArith_BinNat_N_mul_eq_1'#@#variant 'hl/thm/arith/MULT_EQ_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_opp' 'hl/thm/Library/transc/ATN_NEG_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftr_div_pow2'#@#variant 'hl/thm/Complex/complexnumbers/complex_div_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_divide_mono_l' 'hl/thm/Library/integer/INT_DIVIDES_MUL_L_'
0. 'coq/Coq_ZArith_Zorder_Zsucc_lt_compat' 'hl/thm/realax/NADD_INV_WELLDEF_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_le_mono_r' 'hl/thm/arith/LT_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_lt_mono_nonneg'#@#variant 'hl/thm/Library/analysis/REAL_LE_MUL2V_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_divide_cancel_l' 'hl/thm/Library/integer/INT_DIVIDES_LMUL2_EQ_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lor_diag' 'hl/thm/int/INT_MIN_ACI_3'
0. 'coq/Coq_Arith_PeanoNat_Nat_lxor_nilpotent' 'hl/thm/arith/SUB_REFL_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_0_l' 'hl/thm/realax/REAL_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_setbit_spec_prime'#@#variant 'hl/thm/int/INT_SUB_'
0. 'coq/Coq_PArith_BinPos_Pos_gcd_divide_r' 'hl/thm/int/INT_MIN_MIN_/1'
0. 'coq/Coq_Arith_PeanoNat_Nat_min_glb_lt' 'hl/thm/Complex/cpoly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_nge' 'hl/thm/arith/NOT_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_le_mono_l' 'hl/thm/int/INT_LE_LADD_'
0. 'coq/Coq_NArith_BinNat_N_mul_1_l'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_le_mono_r' 'hl/thm/int/INT_LT_RADD_'
0. 'coq/Coq_Reals_Rtrigo_def_sin_antisym' 'hl/thm/Complex/complexnumbers/CNJ_NEG_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_le_incl' 'hl/thm/realax/TREAL_EQ_IMP_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_le_mono' 'hl/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zlt_not_le' 'hl/thm/arith/LET_ANTISYM_'
0. 'coq/Coq_PArith_BinPos_Pos_sub_succ_r' 'hl/thm/Multivariate/transcendentals/RPOW_NEG_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_divide_lcm_r' 'hl/thm/int/INT_MAX_MAX_/1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_pos'#@#variant 'hl/thm/Multivariate/complexes/REAL_INV_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_le_compat_l' 'hl/thm/real/REAL_LT_LADD_IMP_'
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_pos_eq'#@#variant 'hl/thm/Multivariate/complexes/REAL_IMP_CNJ_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_div2' 'hl/thm/int/int_abs_th_'
0. 'coq/Coq_Reals_Rbasic_fun_Rmin_Rgt' 'hl/thm/int/INT_MAX_LE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftl_1_l'#@#variant 'hl/thm/int/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div2_succ_double' 'hl/thm/Multivariate/transcendentals/CSIN_CASN_'#@#variant
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_phi' 'hl/thm/Multivariate/vectors/LIFT_DROP_1'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lt_trichotomy' 'hl/thm/Library/prime/LESS_LESS_CASES_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_divide_mono_l' 'hl/thm/realax/REAL_LE_LADD_IMP_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_succ' 'hl/thm/Complex/complexnumbers/CX_NEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_eq_mul_0' 'hl/thm/arith/MULT_EQ_0_'#@#variant
0. 'coq/Coq_Arith_Div2_lt_div2'#@#variant 'hl/thm/Library/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_succ_l' 'hl/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_land_0_r' 'hl/thm/int/INT_MUL_RZERO_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_COS_bound/1' 'hl/thm/calc_num/ARITH_82'
0. 'coq/Coq_Reals_RIneq_cond_pos'#@#variant 'hl/thm/int/INT_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sub_succ' 'hl/thm/arith/SUB_SUC_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_pred_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LNEG_'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_IsTO_le_lteq' 'hl/thm/arith/LE_LT_'
0. 'coq/Coq_QArith_QArith_base_Zle_Qle' 'hl/thm/int/INT_OF_NUM_LE_'
0. 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_gt_lt_iff' 'hl/thm/int/INT_GT_'
0. 'coq/Coq_NArith_BinNat_N_le_gt_cases' 'hl/thm/realarith/REAL_LET_TOTAL_'
0. 'coq/Coq_NArith_BinNat_N_log2_pos'#@#variant 'hl/thm/Library/transc/REAL_EXP_LT_1_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_le_max_r' 'hl/thm/int/INT_MAX_MAX_/1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_succ_diag_r' 'hl/thm/Library/analysis/LESS_EQ_SUC_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_1_r' 'hl/thm/Library/pocklington/ORDER_1_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_max_id' 'hl/thm/real/REAL_MIN_ACI_3'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigN_BigZ_spec_Z_of_N' 'hl/thm/int/int_of_num_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_null'#@#variant 'hl/thm/real/REAL_SGN_EQ_1'#@#variant
0. 'coq/Coq_NArith_BinNat_N_gcd_diag' 'hl/thm/real/REAL_MIN_ACI_3'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_double'#@#variant 'hl/thm/Multivariate/transcendentals/CX_COS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_pos'#@#variant 'hl/thm/real/REAL_LT_INV_EQ_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lor_m1_r'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RZERO_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_triangle' 'hl/thm/real/REAL_ABS_TRIANGLE_'
0. 'coq/Coq_Arith_Min_le_min_l' 'hl/thm/int/INT_MIN_MIN_/0'
0. 'coq/Coq_ZArith_BinInt_Z_sgn_pos'#@#variant 'hl/thm/Library/floor/REAL_FRAC_ZERO_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_le_compat_l' 'hl/thm/realax/NADD_MUL_WELLDEF_LEMMA_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_0_l' 'hl/thm/realax/REAL_ADD_LID_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_log2_pos'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_inj_wd' 'hl/thm/Library/transc/REAL_EXP_INJ_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_divide' 'hl/thm/int/int_ge_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_pos'#@#variant 'hl/thm/Multivariate/transcendentals/REAL_EXP_LT_1_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_div_le_mono'#@#variant 'hl/thm/Library/analysis/REAL_LE_RMUL_IMP_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_min_glb_lt_iff' 'hl/thm/int/INT_LE_MIN_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_min_r' 'hl/thm/Library/prime/INDEX_TRIVIAL_BOUND_'
0. 'coq/Coq_ZArith_Znat_Z2N_inj_quot2' 'hl/thm/Complex/complex_transc/CX_CCOS_'
0. 'coq/Coq_QArith_QArith_base_Qinv_le_0_compat'#@#variant 'hl/thm/Library/floor/INTEGER_CLOSED_6'
0. 'coq/Coq_Reals_RIneq_Ropp_Ropp_IZR' 'hl/thm/Complex/complex_transc/CX_CSIN_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_clearbit_spec_prime'#@#variant 'hl/thm/int/INT_SUB_'
0. 'coq/Coq_Arith_Even_even_mult_aux/1' 'hl/thm/arith/EVEN_MULT_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_succ_r' 'hl/thm/real/REAL_NEG_RMUL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_refl' 'hl/thm/Library/integer/INT_DIVIDES_REFL_'
0. 'coq/Coq_Reals_Rtrigo1_tan_neg' 'hl/thm/Multivariate/transcendentals/CNJ_CEXP_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_add_le_sub_r' 'hl/thm/real/REAL_LT_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_inj_wd' 'hl/thm/Complex/complexnumbers/CNJ_INJ_'
0. 'coq/Coq_ZArith_Zpower_two_power_nat_S'#@#variant 'hl/thm/Complex/complexnumbers/CX_NEG_'
0. 'coq/Coq_NArith_BinNat_N_nlt_0_r' 'hl/thm/Library/prime/NOT_LESS_0_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_cos_3PI2'#@#variant 'hl/thm/Multivariate/transcendentals/TAN_PI4_'#@#variant
0. 'coq/Coq_ZArith_Znat_Z2N_inj_quot2' 'hl/thm/int/int_neg_th_'
0. 'coq/Coq_PArith_BinPos_Pos_lt_add_r' 'hl/thm/realax/HREAL_LE_ADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pred_le_mono' 'hl/thm/Multivariate/transcendentals/ATN_MONO_LT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mod_0_l' 'hl/thm/arith/DIV_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lxor_m1_l'#@#variant 'hl/thm/realarith/REAL_POLY_NEG_CLAUSES_0'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_le_sub_le_add_r' 'hl/thm/int/INT_LE_SUB_RADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ldiff_m1_l'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_LZERO_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_le_lt_mono' 'hl/thm/int/INT_LET_ADD2_'
0. 'coq/Coq_QArith_Qcanon_Qred_involutive' 'hl/thm/real/REAL_ABS_ABS_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_div_le_upper_bound' 'hl/thm/arith/LE_LDIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div2_nonneg'#@#variant 'hl/thm/int/INT_SGN_INEQS_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_le_mono' 'hl/thm/Library/transc/ATN_MONO_LT_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_lt' 'hl/thm/int/INT_OF_NUM_GE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_glb_lt' 'hl/thm/Library/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_sin_neg' 'hl/thm/Multivariate/transcendentals/CNJ_CCOS_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_succ_diag_r' 'hl/thm/real/REAL_ABS_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mod_1_r'#@#variant 'hl/thm/Library/prime/INDEX_1_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lor_diag' 'hl/thm/int/INT_MIN_ACI_3'
0. 'coq/Coq_Reals_Rbasic_fun_Rmax_Rle' 'hl/thm/int/INT_LT_MAX_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_lt_le_mono' 'hl/thm/real/REAL_LTE_ADD2_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_lt_mono_r' 'hl/thm/realax/HREAL_LE_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_le_mono_nonneg_r'#@#variant 'hl/thm/Library/analysis/REAL_LE_RMUL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_nle_gt' 'hl/thm/int/INT_LT_'
0. 'coq/Coq_ZArith_BinInt_Z_div2_nonneg'#@#variant 'hl/thm/int/INT_SGN_INEQS_1'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_nonneg_l'#@#variant 'hl/thm/real/REAL_LE_LMUL_'#@#variant
0. 'coq/__constr_Coq_Init_Peano_le_0_1' 'hl/thm/realax/REAL_LE_REFL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_succ_diag_r' 'hl/thm/Library/analysis/LESS_SUC_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_sgn_nonneg' 'hl/thm/real/REAL_SGN_INEQS_3'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_le_compat_l' 'hl/thm/Library/integer/INT_DIVIDES_MUL_L_'
0. 'coq/Coq_QArith_Qfield_Qopp_plus' 'hl/thm/int/INT_ABS_TRIANGLE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_1_r' 'hl/thm/arith/SUB_0_/1'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_lt_mono_r' 'hl/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_land_diag' 'hl/thm/real/REAL_MAX_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lcm_diag' 'hl/thm/int/INT_MAX_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftl_opp_r' 'hl/thm/Multivariate/complexes/complex_div_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_shuffle3' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_AC_2'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_lt_mono'#@#variant 'hl/thm/Library/analysis/REAL_LE_MUL2V_'#@#variant
0. 'coq/Coq_QArith_Qreduction_Qred_comp' 'hl/thm/Multivariate/vectors/SQRT_MONO_LT_'
0. 'coq/Coq_Reals_Rtrigo_calc_deg_rad' 'hl/thm/Multivariate/transcendentals/CSIN_CASN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_1_l'#@#variant 'hl/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_div2' 'hl/thm/Multivariate/complexes/CX_INV_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_le_compat_r' 'hl/thm/realax/NADD_LE_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ldiff_m1_r'#@#variant 'hl/thm/arith/MOD_1_'#@#variant
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_double' 'hl/thm/Complex/complex_transc/CX_CEXP_'
0. 'coq/Coq_ZArith_Znat_Z2Nat_inj_pred' 'hl/thm/int/int_abs_th_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_pos'#@#variant 'hl/thm/Library/floor/FLOOR_POS_LE_'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qclt_le_weak' 'hl/thm/realax/TREAL_EQ_IMP_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_nonneg_pos'#@#variant 'hl/thm/int/INT_LET_ADD_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_div_add_l' 'hl/thm/arith/DIV_MULT_ADD_'#@#variant
0. 'coq/Coq_setoid_ring_RealField_Rdef_pow_add' 'hl/thm/real/REAL_POW_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_even_2'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_OT_lt_total' 'hl/thm/Library/prime/LESS_LESS_CASES_'
0. 'coq/Coq_Reals_RIneq_Rge_not_gt' 'hl/thm/int/INT_LTE_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_le_compat_r' 'hl/thm/Library/integer/INT_DIVIDES_MUL_R_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_divide_mono_r' 'hl/thm/Library/prime/LESS_MONO_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_lcm_l' 'hl/thm/real/REAL_MAX_MAX_/0'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_log2' 'hl/thm/Multivariate/complexes/CX_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_rem_same' 'hl/thm/arith/MOD_REFL_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_le_mono_l' 'hl/thm/arith/LT_ADD_LCANCEL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_odd_0' 'hl/thm/nums/ZERO_DEF_'
0. 'coq/Coq_Reals_Ratan_atan_increasing' 'hl/thm/Library/floor/FLOOR_MONO_'
0. 'coq/Coq_ZArith_BinInt_Zpred_succ' 'hl/thm/Library/transc/ATN_/2'
0. 'coq/Coq_ZArith_BinInt_Z_add_succ_r' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_opp' 'hl/thm/int/INT_ABS_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_greatest' 'hl/thm/Complex/cpoly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_square_spec' 'hl/thm/arith/MULT_2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_opp_r' 'hl/thm/int/INT_SUB_RNEG_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_le_compat_l' 'hl/thm/realax/TREAL_LE_LADD_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_odd_sub' 'hl/thm/real/REAL_OF_NUM_SUB_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_sub_le_add_r' 'hl/thm/real/REAL_LT_SUB_LADD_'
0. 'coq/Coq_Reals_Rbasic_fun_Rle_max_compat_r' 'hl/thm/Library/integer/INT_DIVIDES_MUL_R_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_assoc' 'hl/thm/realax/TREAL_ADD_ASSOC_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_mul_xO_r' 'hl/thm/calc_int/REAL_MUL_RNEG_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_sub_le_add_r' 'hl/thm/int/INT_LT_SUB_LADD_'
0. 'coq/Coq_NArith_BinNat_N_pow_eq_0_iff' 'hl/thm/arith/EXP_EQ_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_succ_l' 'hl/thm/Multivariate/transcendentals/REAL_INV_RPOW_'
0. 'coq/Coq_MMaps_MMapPositive_PositiveMap_lt_rev_append' 'hl/thm/realax/NADD_LE_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_1_l' 'hl/thm/realax/REAL_ADD_LID_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_1_r'#@#variant 'hl/thm/calc_int/REAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_ZArith_Zquot_Zquot_opp_opp' 'hl/thm/arith/SUB_SUC_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_glb_lt_iff' 'hl/thm/int/INT_LE_MIN_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_cancel_r' 'hl/thm/int/INT_EQ_ADD_RCANCEL_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_le_compat_l' 'hl/thm/realax/NADD_MUL_WELLDEF_LEMMA_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_le' 'hl/thm/int/INT_OF_NUM_GE_'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_pred' 'hl/thm/Complex/complexnumbers/CX_NEG_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_id' 'hl/thm/int/NUM_OF_INT_OF_NUM_'
0. 'coq/Coq_Reals_R_sqr_Rsqr_neg' 'hl/thm/Library/transc/COS_ABS_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_succ_not_1' 'hl/thm/Library/transc/REAL_EXP_NZ_'#@#variant
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_succ' 'hl/thm/Multivariate/transcendentals/CX_EXP_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_le_compat_l' 'hl/thm/Library/prime/DIVIDES_MUL_L_'
0. 'coq/Coq_Reals_Rtrigo1_tan_neg' 'hl/thm/Library/transc/SIN_NEG_'
0. 'coq/Coq_ZArith_BinInt_Zplus_minus' 'hl/thm/int/INT_SUB_ADD2_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_lt_lin'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_LT_X_'#@#variant
0. 'coq/Coq_Reals_Ratan_atan_bound/1'#@#variant 'hl/thm/Library/transc/ATN_/1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_le_mono' 'hl/thm/Library/floor/FLOOR_MONO_'
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_pos'#@#variant 'hl/thm/Library/pocklington/EVEN_PHI_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_lub_lt_iff' 'hl/thm/int/INT_MAX_LT_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_pos'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_POS_LE_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_divide_mono_r' 'hl/thm/realax/NADD_LE_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_lt_lin'#@#variant 'hl/thm/Library/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pred_le_mono' 'hl/thm/realax/NADD_INV_WELLDEF_'
0. 'coq/Coq_PArith_BinPos_Pos_add_lt_mono_r' 'hl/thm/arith/LT_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_1_r'#@#variant 'hl/thm/arith/MULT_0_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_opp_involutive' 'hl/thm/Complex/complexnumbers/COMPLEX_INV_INV_'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_null'#@#variant 'hl/thm/real/REAL_SGN_EQ_2'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_succ_diag_r' 'hl/thm/Library/analysis/LESS_EQ_SUC_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_le_mono_nonneg_r'#@#variant 'hl/thm/int/INT_LE_RMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_add_lt_sub_r' 'hl/thm/int/INT_LT_ADD_SUB_'
0. 'coq/Coq_Reals_Rtrigo1_sin_neg' 'hl/thm/real/REAL_INV_NEG_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mod_small' 'hl/thm/arith/MOD_LT_'
0. 'coq/Coq_Reals_Ratan_Ratan_seq_opp' 'hl/thm/real/REAL_INV_POW_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_clearbit_spec_prime'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_RNEG_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_0_l_prime' 'hl/thm/arith/MOD_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_cancel_r' 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_pos'#@#variant 'hl/thm/Library/transc/LN_POS_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_factor_r' 'hl/thm/real/REAL_MAX_MAX_/1'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_cancel_l' 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_ADD_LCANCEL_'
0. 'coq/Coq_ZArith_BinInt_Z_lnot_land' 'hl/thm/Library/transc/REAL_EXP_ADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_0_r' 'hl/thm/Library/prime/DIVIDES_0_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_pred_l' 'hl/thm/calc_int/REAL_MUL_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_opp_diag_r' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_RINV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_succ_pred_pos'#@#variant 'hl/thm/Library/transc/EXP_LN_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_eq_mul_0' 'hl/thm/real/REAL_DIV_EQ_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_min_l' 'hl/thm/real/REAL_MIN_MIN_/0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_max_l' 'hl/thm/realax/HREAL_LE_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_sub_r' 'hl/thm/Library/prime/DIVIDES_SUB_'
0. 'coq/Coq_NArith_BinNat_N_eq_le_incl' 'hl/thm/real/REAL_EQ_IMP_LE_'
0. 'coq/Coq_Reals_RIneq_Rnot_le_lt' 'hl/thm/realarith/REAL_LTE_TOTAL_'
0. 'coq/Coq_NArith_BinNat_N_le_alt_dichotomy' 'hl/thm/int/INT_LE_TOTAL_'
0. 'coq/Coq_QArith_Qminmax_Q_max_lt_iff' 'hl/thm/int/INT_LT_MAX_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_pos_r'#@#variant 'hl/thm/real/REAL_LE_DIV2_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_factor_l' 'hl/thm/realax/HREAL_LE_ADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_max_le_compat_r' 'hl/thm/Library/prime/LESS_MONO_ADD_'
0. 'coq/Coq_ZArith_BinInt_Z_min_glb_lt_iff' 'hl/thm/int/INT_LE_MIN_'
0. 'coq/Coq_ZArith_BinInt_Z_add_pred_r' 'hl/thm/int/INT_MUL_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_sub_le_add_r' 'hl/thm/int/INT_LE_SUB_RADD_'
0. 'coq/Coq_Reals_Rtrigo_def_sin_antisym' 'hl/thm/real/REAL_INV_NEG_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_add_r' 'hl/thm/arith/EXP_ADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_1_l' 'hl/thm/arith/LE_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_sqrt' 'hl/thm/int/int_sgn_th_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_eq_mul_1' 'hl/thm/arith/ADD_EQ_0_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_glb_lt' 'hl/thm/Complex/cpoly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_nle' 'hl/thm/realax/real_lt_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_succ_r' 'hl/thm/calc_int/REAL_MUL_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_lt_lin'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_setbit_spec_prime'#@#variant 'hl/thm/realax/real_div_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_refl' 'hl/thm/Multivariate/misc/GE_REFL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_1_l' 'hl/thm/arith/MULT_CLAUSES_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_lt_lin'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div_mul' 'hl/thm/real/REAL_DIV_RMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_id' 'hl/thm/int/INT_MAX_ACI_3'
0. 'coq/Coq_ZArith_BinInt_Z_divide_lcm_l' 'hl/thm/real/REAL_MAX_MAX_/0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_glb_lt' 'hl/thm/Complex/cpoly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_le_ngt' 'hl/thm/arith/NOT_LE_'
0. 'coq/Coq_NArith_BinNat_N_divide_factor_l' 'hl/thm/int/INT_MAX_MAX_/0'
0. 'coq/Coq_QArith_QArith_base_Qplus_lt_l' 'hl/thm/int/INT_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_1_r'#@#variant 'hl/thm/arith/ADD1_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lcm_0_r' 'hl/thm/arith/MULT_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_alt_dichotomy' 'hl/thm/int/INT_LE_TOTAL_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_max_distr' 'hl/thm/realax/TREAL_ADD_LDISTRIB_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lcm_eq_0' 'hl/thm/Complex/complexnumbers/COMPLEX_ENTIRE_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lxor_nilpotent' 'hl/thm/real/REAL_SUB_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_neg'#@#variant 'hl/thm/real/REAL_NEG_LT0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LT_'
0. 'coq/Coq_Reals_Ratan_atan_opp' 'hl/thm/Multivariate/transcendentals/ATN_NEG_'
0. 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_le_lt_iff' 'hl/thm/int/INT_NOT_LE_'
0. 'coq/Coq_NArith_BinNat_N_gcd_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div2_nonneg'#@#variant 'hl/thm/Library/floor/RATIONAL_NEG_EQ_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sub_diag' 'hl/thm/real/REAL_SUB_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_le_mono' 'hl/thm/Library/transc/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Arith_PeanoNat_Nat_min_le_compat_l' 'hl/thm/Library/integer/INT_DIVIDES_MUL_L_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_le_mono_r' 'hl/thm/arith/LE_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_succ_l' 'hl/thm/arith/LE_SUC_LT_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_diag' 'hl/thm/arith/BIT0_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lcm_1_l'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_max_l' 'hl/thm/realax/NADD_LE_ADD_'
0. 'coq/Coq_ZArith_BinInt_Z_le_ngt' 'hl/thm/int/INT_NOT_LT_'
0. 'coq/Coq_NArith_BinNat_N_le_ge_cases' 'hl/thm/realax/TREAL_LE_TOTAL_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_pos'#@#variant 'hl/thm/Library/pocklington/PHI_LOWERBOUND_1_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_log2_lt_lin'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_LE_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_pred_l' 'hl/thm/Library/pocklington/PHI_LIMIT_'
0. 'coq/Coq_ZArith_BinInt_Z_sgn_opp' 'hl/thm/calc_num/ARITH_2'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_lt_succ_r' 'hl/thm/Library/analysis/LESS_SUC_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_pos' 'hl/thm/int/INT_SGN_INEQS_3'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_div2' 'hl/thm/int/int_neg_th_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_le_mono_r' 'hl/thm/realax/HREAL_LE_ADD_RCANCEL_'
0. 'coq/Coq_Reals_RIneq_Ropp_mult_distr_l' 'hl/thm/calc_int/REAL_MUL_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_ldiff_ldiff_l' 'hl/thm/Library/prime/EXP_EXP_'
0. 'coq/Coq_Reals_RIneq_succ_IZR' 'hl/thm/real/REAL_OF_NUM_SUC_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_pos'#@#variant 'hl/thm/Library/pocklington/PHI_LOWERBOUND_2_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_divide_iff' 'hl/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_lt_lin'#@#variant 'hl/thm/Library/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_pred_succ' 'hl/thm/arith/PRE_1'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_le_mono_l' 'hl/thm/int/INT_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lcm_0_r' 'hl/thm/int/INT_MUL_RZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_sub_le_add_r' 'hl/thm/real/REAL_LE_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_id' 'hl/thm/int/INT_MAX_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_le_mono_r' 'hl/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_ZArith_BinInt_Z_square_nonneg'#@#variant 'hl/thm/int/INT_LE_SQUARE_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_nlt' 'hl/thm/int/INT_NOT_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_odd_1'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_pred_double_succ' 'hl/thm/calc_num/ARITH_4'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_le_mono_l' 'hl/thm/realax/NADD_LE_RMUL_'
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_r' 'hl/thm/Library/prime/DIVIDES_MUL_R_'
0. 'coq/Coq_Reals_Exp_prop_div2_not_R0'#@#variant 'hl/thm/Library/transc/REAL_EXP_LT_1_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ldiff_diag' 'hl/thm/arith/SUB_REFL_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_quot2' 'hl/thm/Complex/complex_transc/CX_CCOS_'
0. 'coq/Coq_ZArith_Zorder_Zle_0_nat'#@#variant 'hl/thm/Library/floor/INTEGER_CLOSED_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gt_lt_iff' 'hl/thm/realax/real_ge_'
0. 'coq/Coq_ZArith_Zorder_Zeq_plus_swap' 'hl/thm/real/REAL_EQ_SUB_LADD_'
0. 'coq/Coq_NArith_BinNat_N_pred_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LE_'
0. 'coq/Coq_ZArith_BinInt_Z2Pos_inj_sqrt' 'hl/thm/Complex/complex_transc/CX_CCOS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_nge' 'hl/thm/arith/NOT_LT_'
0. 'coq/Coq_Reals_Rbasic_fun_Rle_min_compat_l' 'hl/thm/int/INT_LE_LADD_IMP_'
0. 'coq/Coq_NArith_BinNat_N_gcd_1_r'#@#variant 'hl/thm/arith/MULT_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_nle' 'hl/thm/int/INT_NOT_LE_'
0. 'coq/Coq_Reals_RIneq_Rinv_le_contravar'#@#variant 'hl/thm/real/REAL_LT_INV2_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rplus_le_compat_l' 'hl/thm/int/INT_LE_LADD_IMP_'
0. 'coq/Coq_Arith_PeanoNat_Nat_min_lt_iff' 'hl/thm/int/INT_MIN_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_2' 'hl/thm/real/REAL_ABS_0_'
0. 'coq/Coq_Reals_RIneq_Rle_0_1' 'hl/thm/Library/transc/PI2_BOUNDS_1'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_quot2' 'hl/thm/int/int_neg_th_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_succ_le' 'hl/thm/Library/floor/FLOOR_DOUBLE_/0'#@#variant
0. 'coq/Coq_Arith_Min_min_glb' 'hl/thm/Library/integer/INT_DIVIDES_ADD_'
0. 'coq/Coq_ZArith_BinInt_Z_setbit_spec_prime'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lcm_0_r' 'hl/thm/Library/prime/INDEX_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_le_mono' 'hl/thm/Library/transc/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_gt_lt_iff' 'hl/thm/arith/GT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_shuffle3' 'hl/thm/real/REAL_MIN_ACI_2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_add_lt_sub_r' 'hl/thm/int/INT_LT_SUB_LADD_'
0. 'coq/Coq_ZArith_Zorder_Zplus_lt_compat_l' 'hl/thm/realax/TREAL_LE_LADD_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_factor_r' 'hl/thm/real/REAL_MAX_MAX_/1'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_lub_iff' 'hl/thm/real/REAL_MAX_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_rem_idemp_l' 'hl/thm/arith/MOD_EXP_MOD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_nonneg_r'#@#variant 'hl/thm/int/INT_LE_RMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_le_mono_l' 'hl/thm/int/INT_LE_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_nle_gt' 'hl/thm/realarith/REAL_NOT_LT_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_square_spec' 'hl/thm/Library/analysis/REAL_DOUBLE_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lcm_1_r'#@#variant 'hl/thm/arith/ADD1_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_divide_refl' 'hl/thm/arith/LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_cancel_l' 'hl/thm/calc_int/REAL_EQ_ADD_LCANCEL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_even_1'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_refl' 'hl/thm/Library/poly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_QArith_Qminmax_Q_min_le_compat_l' 'hl/thm/realax/NADD_LE_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_null_iff' 'hl/thm/Library/pocklington/PHI_EQ_0_'#@#variant
0. 'coq/Coq_Arith_Gt_plus_gt_compat_l' 'hl/thm/realax/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_max_r' 'hl/thm/arith/LE_ADDR_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lcm_diag' 'hl/thm/real/REAL_MAX_ACI_3'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_pred' 'hl/thm/Multivariate/transcendentals/CX_COS_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pred_div2_up' 'hl/thm/Multivariate/transcendentals/CX_TAN_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_sub_eq_r' 'hl/thm/Library/prime/ADD_IMP_SUB_'
0. 'coq/Coq_Reals_Rtrigo1_PI_neq0' 'hl/thm/Complex/complex_transc/COMPLEX_II_NZ_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qplus_le_l' 'hl/thm/int/INT_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_succ_pred' 'hl/thm/Complex/complex_transc/CEXP_CLOG_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lt_le_incl' 'hl/thm/realax/NADD_EQ_IMP_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_rem_1_r'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_glb_lt' 'hl/thm/Library/prime/DIVIDES_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_succ_l' 'hl/thm/int/INT_NEG_LMUL_'
0. 'coq/Coq_NArith_BinNat_N_le_alt_dichotomy' 'hl/thm/realax/NADD_LE_TOTAL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_pos'#@#variant 'hl/thm/Library/floor/RATIONAL_NEG_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lcm_eq_0' 'hl/thm/arith/MULT_EQ_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lor_eq_0_iff' 'hl/thm/arith/MULT_EQ_1_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_inj_wd' 'hl/thm/Multivariate/transcendentals/REAL_EXP_INJ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_inj_wd' 'hl/thm/Library/transc/REAL_EXP_INJ_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_lt_mono_pos_l'#@#variant 'hl/thm/real/REAL_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_0_r' 'hl/thm/int/INT_MUL_RZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_nonpos' 'hl/thm/calc_num/ARITH_60'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_succ_r' 'hl/thm/real/REAL_NEG_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_double'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_INV_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zsucc_lt_compat' 'hl/thm/Multivariate/vectors/SQRT_MONO_LT_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_comm' 'hl/thm/realax/TREAL_ADD_SYM_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_glb' 'hl/thm/Library/integer/INT_DIVIDES_SUB_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_red' 'hl/thm/int/int_abs_th_'
0. 'coq/Coq_NArith_BinNat_N_land_0_r' 'hl/thm/arith/MULT_0_'#@#variant
0. 'coq/Coq_Numbers_Cyclic_ZModulo_ZModulo_Ptail_pos'#@#variant 'hl/thm/real/REAL_LT_POW2_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_lteq' 'hl/thm/realarith/REAL_LE_LT_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_div2' 'hl/thm/Multivariate/complexes/CX_INV_'#@#variant
0. 'coq/Coq_ZArith_Znat_Z2Nat_inj_pred' 'hl/thm/Multivariate/transcendentals/CX_SIN_'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_minus_one_neq_zero'#@#variant 'hl/thm/Complex/complex_transc/COMPLEX_II_NZ_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_le_lin' 'hl/thm/Library/pratt/PHI_LIMIT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_even_1'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_inj_wd' 'hl/thm/Complex/complexnumbers/CNJ_INJ_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_lt' 'hl/thm/real/REAL_OF_NUM_GT_'
0. 'coq/Coq_PArith_BinPos_Pos_max_le_iff' 'hl/thm/real/REAL_LE_MAX_'
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_pos'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_null_iff' 'hl/thm/real/REAL_NEG_EQ_0_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_le_sub_l' 'hl/thm/real/REAL_MIN_MIN_/0'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_add_distr_l' 'hl/thm/realax/NADD_LDISTRIB_'
0. 'coq/Coq_ZArith_Zpower_two_p_is_exp'#@#variant 'hl/thm/Library/transc/LN_MUL_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_divide_1_l'#@#variant 'hl/thm/realax/NADD_LE_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_le_mono_r' 'hl/thm/arith/LT_ADD_RCANCEL_'
0. 'coq/Coq_Reals_ROrderedType_ROrder_le_lt_trans' 'hl/thm/realarith/REAL_LET_TRANS_'
0. 'coq/Coq_PArith_BinPos_Pos_le_succ_l' 'hl/thm/arith/LE_SUC_LT_'
0. 'coq/Coq_Structures_OrdersEx_PositiveOrderedTypeBits_bits_lt_antirefl' 'hl/thm/arith/LT_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lxor_m1_l'#@#variant 'hl/thm/int/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zplus_lt_compat_r' 'hl/thm/Library/integer/INT_DIVIDES_MUL_R_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_move_r' 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_2_r'#@#variant 'hl/thm/arith/EXP_2_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lor_0_l' 'hl/thm/int/INT_MUL_LID_'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_xO'#@#variant 'hl/thm/int/int_abs_th_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_odd_2'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_0_l' 'hl/thm/int/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sub_le_mono_r' 'hl/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_Reals_Rfunctions_RPow_abs' 'hl/thm/real/REAL_ABS_POW_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_lcm_r' 'hl/thm/arith/LE_ADDR_'
0. 'coq/Coq_Reals_Rtrigo1_tan_neg' 'hl/thm/real/REAL_ABS_INV_'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_minus_one_neq_zero'#@#variant 'hl/thm/Library/analysis/REAL_10_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_le_mono_l' 'hl/thm/real/REAL_LE_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_nle_gt' 'hl/thm/int/INT_LT_'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_succ' 'hl/thm/int/int_sgn_th_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_succ_r' 'hl/thm/arith/MULT_SUC_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_succ_r' 'hl/thm/int/INT_MUL_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_0_sub'#@#variant 'hl/thm/realarith/REAL_SUB_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_opp_r' 'hl/thm/Complex/complexnumbers/complex_sub_'
0. 'coq/Coq_Reals_Rprod_le_n_2n'#@#variant 'hl/thm/int/INT_ABS_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_0_l' 'hl/thm/Library/integer/INT_DIVIDES_1_'#@#variant
0. 'coq/Coq_Reals_Rtopology_open_set_P3' 'hl/thm/Multivariate/realanalysis/REAL_LEBESGUE_MEASURABLE_INTER_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sub_add_distr' 'hl/thm/Library/prime/EXP_EXP_'
0. 'coq/Coq_Bool_Bool_diff_false_true' 'hl/thm/Multivariate/transcendentals/PI_NZ_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lxor_nilpotent' 'hl/thm/real/REAL_SUB_REFL_'#@#variant
0. 'coq/Coq_Reals_Rtopology_open_set_P2' 'hl/thm/Multivariate/realanalysis/REAL_LEBESGUE_MEASURABLE_INTER_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_opp_diag_r' 'hl/thm/int/INT_ADD_RINV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_opp_r' 'hl/thm/arith/ADD_SUC_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_lcm_l' 'hl/thm/real/REAL_MAX_MAX_/0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_nonneg'#@#variant 'hl/thm/real/REAL_SGN_INEQS_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_glb' 'hl/thm/Library/integer/INT_DIVIDES_SUB_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_neq_0_succ' 'hl/thm/arith/FACT_NZ_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_odd_2' 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_gcd_1_r'#@#variant 'hl/thm/int/INT_MUL_RZERO_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_le_mono_r' 'hl/thm/int/INT_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_le_compat_r' 'hl/thm/Library/analysis/LESS_MONO_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_1_r' 'hl/thm/arith/MULT_0_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_oppc' 'hl/thm/Multivariate/complexes/IM_CNJ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pred_le_mono' 'hl/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_greatest' 'hl/thm/Complex/cpoly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_odd_1' 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_sub_1_r' 'hl/thm/arith/ADD1_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lxor_eq_0_iff' 'hl/thm/realarith/REAL_SUB_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_odd_0' 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_1_l'#@#variant 'hl/thm/Library/prime/DIVIDES_1_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_nonneg_pos'#@#variant 'hl/thm/int/INT_LET_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lnot_ones' 'hl/thm/int/INT_ADD_LINV_'#@#variant
0. 'coq/Coq_Reals_Rpower_Rpower_Ropp' 'hl/thm/Multivariate/transcendentals/RPOW_NEG_'
0. 'coq/Coq_Numbers_Cyclic_DoubleCyclic_DoubleBase_lt_0_wB'#@#variant 'hl/thm/real/REAL_LT_POW2_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_shuffle3' 'hl/thm/real/REAL_MUL_AC_2'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_refl' 'hl/thm/realax/REAL_LE_REFL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_mod_idemp_r' 'hl/thm/arith/MOD_MULT_RMOD_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_factor_l' 'hl/thm/arith/LE_ADD_'
0. 'coq/Coq_Bool_Bool_negb_xorb_r' 'hl/thm/arith/ADD_SUC_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_le' 'hl/thm/real/REAL_OF_NUM_GT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_succ_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_cancel_r' 'hl/thm/arith/EQ_ADD_RCANCEL_'
0. 'coq/Coq_NArith_BinNat_N_sub_le_mono_r' 'hl/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_r' 'hl/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Init_Peano_le_n_S' 'hl/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_ngt' 'hl/thm/Library/analysis/real_le_'
0. 'coq/Coq_ZArith_BinInt_Z_add_lt_le_mono' 'hl/thm/int/INT_LTE_ADD2_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_2' 'hl/thm/Library/calc_real/REAL_EXP_13_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_div2_div'#@#variant 'hl/thm/arith/ADD1_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_gcd_divide_l' 'hl/thm/real/REAL_MIN_MIN_/0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_l' 'hl/thm/Library/integer/INT_DIVIDES_MUL_L_'
0. 'coq/Coq_Reals_R_sqrt_sqrt_lt_1_alt'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_MONO_LT_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_lxor_l' 'hl/thm/int/INT_NEG_LMUL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_1' 'hl/thm/Library/calc_real/REAL_EXP_13_'#@#variant
0. 'coq/Coq_Bool_Bool_andb_true_iff' 'hl/thm/arith/ADD_EQ_0_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_cos_3PI2'#@#variant 'hl/thm/Library/transc/PI2_PI4_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_inj_wd' 'hl/thm/Multivariate/vectors/SQRT_INJ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_move_r' 'hl/thm/int/INT_EQ_SUB_RADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_opp' 'hl/thm/Multivariate/vectors/REAL_SGN_SQRT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_sub_lt_add_r' 'hl/thm/real/REAL_LT_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_le_mono' 'hl/thm/Library/floor/FLOOR_MONO_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_glb_iff' 'hl/thm/int/INT_LE_MIN_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_sub_diag' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_le_mono_l' 'hl/thm/arith/LT_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftl_1_l'#@#variant 'hl/thm/int/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_pred_l' 'hl/thm/calc_int/REAL_MUL_LNEG_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_add_r' 'hl/thm/Library/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_le_mono_l' 'hl/thm/int/INT_LE_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_nonneg'#@#variant 'hl/thm/Library/floor/FLOOR_POS_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_le_lin'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_LE_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sub_diag' 'hl/thm/arith/SUB_REFL_'#@#variant
0. 'coq/Coq_Init_Datatypes_CompOpp_iff' 'hl/thm/real/REAL_NEG_EQ_'
0. 'coq/Coq_QArith_QOrderedType_QOrder_not_ge_lt' 'hl/thm/realarith/REAL_LET_TOTAL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_odd_2'#@#variant 'hl/thm/Multivariate/complexes/IM_II_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qlt_not_le' 'hl/thm/int/INT_LET_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_divide_iff' 'hl/thm/int/INT_LT_MIN_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lor_0_l' 'hl/thm/realax/REAL_ADD_LID_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_opp_norm' 'hl/thm/Multivariate/complexes/REAL_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mod_0_l' 'hl/thm/arith/MOD_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_pred_l' 'hl/thm/arith/ADD_CLAUSES_2'
0. 'coq/Coq_Reals_Ratan_ps_atan_opp' 'hl/thm/Library/transc/ATN_NEG_'
0. 'coq/Coq_Reals_RIneq_Rnot_ge_gt' 'hl/thm/int/INT_LET_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pred_le_mono' 'hl/thm/Library/transc/ATN_MONO_LT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_1_l'#@#variant 'hl/thm/int/INT_MUL_LID_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_cancel_r' 'hl/thm/arith/EQ_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sub_succ_r' 'hl/thm/Multivariate/transcendentals/RPOW_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_glb' 'hl/thm/Library/prime/DIVIDES_SUB_'
0. 'coq/Coq_ZArith_BinInt_Z_divide_lcm_r' 'hl/thm/int/INT_MAX_MAX_/1'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_le_mono_l' 'hl/thm/real/REAL_LT_LADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_gt_lt_iff' 'hl/thm/int/INT_GT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_le_mono' 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_2' 'hl/thm/Library/transc/TAN_0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_0_l' 'hl/thm/arith/LE_0_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_land_0_r' 'hl/thm/Library/pocklington/ORDER_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_refl' 'hl/thm/Library/poly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_inj_wd' 'hl/thm/real/REAL_EQ_INV2_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_le_compat_l' 'hl/thm/realax/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_Zpos' 'hl/thm/int/int_lt_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_le_compat_r' 'hl/thm/Library/prime/DIVIDES_MUL_R_'
0. 'coq/Coq_PArith_BinPos_Pos_mul_1_l' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lcm_0_r' 'hl/thm/arith/MULT_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_lcm_l' 'hl/thm/realax/HREAL_LE_ADD_'
0. 'coq/Coq_Reals_Rfunctions_Rpow_mult_distr' 'hl/thm/Multivariate/complexes/COMPLEX_POW_DIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_shuffle3' 'hl/thm/Multivariate/complexes/COMPLEX_MUL_AC_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_lt_iff' 'hl/thm/real/REAL_LE_MAX_'
0. 'coq/Coq_Reals_Ranalysis4_sinh_lt' 'hl/thm/Multivariate/vectors/SQRT_MONO_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_divide_cancel_r' 'hl/thm/Library/prime/DIVIDES_EXP2_EQ_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sub_succ' 'hl/thm/real/REAL_NEG_MUL2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_Zpos' 'hl/thm/int/int_ge_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_divide' 'hl/thm/real/REAL_OF_NUM_GT_'
0. 'coq/Coq_PArith_BinPos_Pos_min_le_compat_r' 'hl/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_opp_norm' 'hl/thm/Library/transc/SQRT_POS_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lcm_1_r' 'hl/thm/arith/SUB_0_/1'
0. 'coq/Coq_Reals_Ratan_Ratan_seq_opp' 'hl/thm/Multivariate/complexes/CNJ_POW_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_succ_inj_wd' 'hl/thm/Multivariate/vectors/SQRT_INJ_'
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_pos_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LE_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_id' 'hl/thm/int/INT_MAX_ACI_3'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_pos_cancel_r'#@#variant 'hl/thm/Library/analysis/REAL_LT_RDIV_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_r' 'hl/thm/Library/prime/LESS_MONO_ADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_gcd_divide_r' 'hl/thm/real/REAL_MIN_MIN_/1'
0. 'coq/Coq_Reals_Rtrigo_calc_Rlt_3PI2_2PI'#@#variant 'hl/thm/Library/transc/COS_2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LT_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_bounded/0'#@#variant 'hl/thm/Multivariate/transcendentals/ARG_/0'#@#variant
0. 'coq/Coq_Reals_RIneq_Rle_0_sqr' 'hl/thm/Multivariate/transcendentals/ATN_BOUNDS_/0'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_lt_mono' 'hl/thm/int/INT_LT_NEG2_'
0. 'coq/Coq_Init_Peano_le_0_n' 'hl/thm/Library/prime/DIVIDES_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_even_2'#@#variant 'hl/thm/nums/ZERO_DEF_'
0. 'coq/Coq_ZArith_BinInt_Z_add_lt_mono_r' 'hl/thm/realax/NADD_LE_RADD_'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_double'#@#variant 'hl/thm/Multivariate/complexes/IM_CNJ_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_2' 'hl/thm/calc_int/REAL_NEG_0_'
0. 'coq/Coq_ZArith_Zorder_Zplus_le_compat_r' 'hl/thm/realax/HREAL_LE_MUL_RCANCEL_IMP_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div2_neg' 'hl/thm/real/REAL_SGN_INEQS_6'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_pos'#@#variant 'hl/thm/Multivariate/complexes/REAL_INV_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lor_diag' 'hl/thm/int/INT_MAX_ACI_3'
0. 'coq/Coq_QArith_Qminmax_Q_min_le_compat_r' 'hl/thm/realax/HREAL_LE_MUL_RCANCEL_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_le_lin'#@#variant 'hl/thm/Library/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_pos'#@#variant 'hl/thm/Library/transc/ATN_POS_LE_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lcm_eq_0' 'hl/thm/real/REAL_DIV_EQ_0_'#@#variant
0. 'coq/Coq_Reals_Rprod_le_n_2n'#@#variant 'hl/thm/Library/analysis/LESS_EQ_SUC_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_quot_le_mono'#@#variant 'hl/thm/int/INT_LE_RMUL_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_le_lin'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_LE_X_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rle_max_compat_r' 'hl/thm/Library/analysis/LESS_MONO_ADD_'
0. 'coq/Coq_ZArith_BinInt_Zminus_plus_simpl_r' 'hl/thm/arith/SUB_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_l' 'hl/thm/Library/prime/DIVIDES_MUL_L_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_ngt' 'hl/thm/realax/real_lt_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_diag'#@#variant 'hl/thm/arith/BIT0_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_nlt_ge' 'hl/thm/Library/analysis/real_le_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_clearbit_spec_prime'#@#variant 'hl/thm/int/INT_SUB_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_pos_cancel_r'#@#variant 'hl/thm/real/REAL_LT_MUL_EQ_1'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_gt' 'hl/thm/int/INT_OF_NUM_GE_'
0. 'coq/Coq_ZArith_BinInt_Z_divide_Zpos' 'hl/thm/int/INT_OF_NUM_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_m1_0'#@#variant 'hl/thm/Multivariate/transcendentals/PI2_BOUNDS_1'#@#variant
0. 'coq/Coq_Bool_Bool_negb_andb' 'hl/thm/Multivariate/transcendentals/REAL_EXP_SUB_'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_pred' 'hl/thm/Complex/complex_transc/CX_CEXP_'
0. 'coq/Coq_ZArith_BinInt_Z_le_0_sub'#@#variant 'hl/thm/realarith/REAL_SUB_LT_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_divide_mul_l' 'hl/thm/Library/prime/DIVIDES_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_id' 'hl/thm/int/INT_MAX_ACI_3'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_setbit_spec_prime'#@#variant 'hl/thm/Complex/complexnumbers/complex_sub_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gt_lt_iff' 'hl/thm/arith/GE_'
0. 'coq/Coq_Reals_RIneq_Ropp_mult_distr_l_reverse' 'hl/thm/calc_int/REAL_MUL_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lcm_1_l'#@#variant 'hl/thm/realax/HREAL_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_divide_iff' 'hl/thm/int/INT_LT_MIN_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_succ_l' 'hl/thm/int/INT_MUL_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_le_mono_pos_r'#@#variant 'hl/thm/real/REAL_LE_DIV2_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_ldiff_diag' 'hl/thm/int/INT_SUB_REFL_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_sqrt' 'hl/thm/Multivariate/transcendentals/CX_EXP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_le_iff' 'hl/thm/int/INT_LE_MAX_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_neq_succ_0' 'hl/thm/Complex/complex_transc/CEXP_NONZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_lt' 'hl/thm/int/INT_BOUNDS_LT_'
0. 'coq/Coq_Arith_PeanoNat_Nat_div_small_iff' 'hl/thm/arith/DIV_EQ_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_le_mono' 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lxor_eq_0_iff' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_0_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rplus_gt_compat_r' 'hl/thm/Library/integer/INT_DIVIDES_MUL_R_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_divide_cancel_l' 'hl/thm/Library/integer/INT_DIVIDES_LMUL2_EQ_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qle_not_lt' 'hl/thm/arith/LET_ANTISYM_'
0. 'coq/Coq_QArith_Qminmax_Q_max_le_iff' 'hl/thm/int/INT_LE_MAX_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_le_mono' 'hl/thm/Library/transc/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_le_compat_l' 'hl/thm/Library/integer/INT_DIVIDES_MUL_L_'
0. 'coq/Coq_PArith_BinPos_Pos_add_lt_mono_l' 'hl/thm/arith/LT_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_0_discr' 'hl/thm/Multivariate/transcendentals/REAL_EXP_NZ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_land_m1_l'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lt_irrefl' 'hl/thm/arith/LT_REFL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_pos'#@#variant 'hl/thm/calc_num/ARITH_40'
0. 'coq/Coq_ZArith_Zeven_Zodd_Sn' 'hl/thm/Library/pratt/PHI_LOWERBOUND_2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_shuffle3' 'hl/thm/real/REAL_MIN_ACI_2'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_l' 'hl/thm/arith/MOD_LT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_le_compat_r' 'hl/thm/Library/prime/LESS_MONO_ADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_nonneg_r'#@#variant 'hl/thm/int/INT_LE_RMUL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Zsucc_pred' 'hl/thm/arith/PRE_1'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_glb_lt_iff' 'hl/thm/int/INT_LT_MIN_'
0. 'coq/Coq_NArith_BinNat_N_pow_lt_mono_r_iff'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LT_EQ_'#@#variant
0. 'coq/Coq_Reals_Rfunctions_pow_nonzero' 'hl/thm/Library/analysis/POW_NZ_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_reg_l' 'hl/thm/realax/HREAL_ADD_LCANCEL_'
0. 'coq/Coq_ZArith_BinInt_Z_lor_0_l' 'hl/thm/arith/MULT_CLAUSES_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_ldiff_ldiff_l' 'hl/thm/Library/prime/EXP_EXP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_2' 'hl/thm/int/INT_SGN_0_'
0. 'coq/Coq_ZArith_Zeven_Zodd_Sn' 'hl/thm/Library/transc/LN_POS_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_lt_trans' 'hl/thm/arith/LET_TRANS_'
0. 'coq/Coq_NArith_BinNat_N_add_le_mono_r' 'hl/thm/realax/NADD_LE_RADD_'
0. 'coq/Coq_Reals_Rminmax_R_max_le_iff' 'hl/thm/int/INT_LT_MAX_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_cancel_l' 'hl/thm/int/INT_EQ_ADD_LCANCEL_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_2' 'hl/thm/realax/HREAL_INV_0_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_le_mono' 'hl/thm/Library/transc/ATN_MONO_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_le_compat_r' 'hl/thm/Library/integer/INT_DIVIDES_MUL_R_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_le_compat_r' 'hl/thm/Library/analysis/LESS_MONO_ADD_'
0. 'coq/Coq_ZArith_BinInt_Z_pow_le_mono_r'#@#variant 'hl/thm/real/REAL_LE_LMUL_'#@#variant
0. 'coq/Coq_ZArith_Zeven_Zodd_pred' 'hl/thm/Library/pocklington/PHI_LOWERBOUND_2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_square_spec' 'hl/thm/Library/analysis/REAL_DOUBLE_'#@#variant
0. 'coq/Coq_ZArith_Znat_Z2N_id'#@#variant 'hl/thm/Library/floor/REAL_OF_INT_OF_REAL_'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_iff' 'hl/thm/realax/REAL_OF_NUM_EQ_'
0. 'coq/Coq_ZArith_BinInt_Z_odd_0' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lcm_divide_iff' 'hl/thm/int/INT_MAX_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_0_l' 'hl/thm/arith/ADD_CLAUSES_0'#@#variant
0. 'coq/Coq_Reals_R_sqr_Rsqr_neg_minus' 'hl/thm/int/INT_ABS_SUB_'
0. 'coq/Coq_Reals_Rminmax_R_min_glb_lt' 'hl/thm/Library/prime/DIVIDES_ADD_'
0. 'coq/Coq_Arith_Gt_plus_gt_compat_l' 'hl/thm/Library/prime/DIVIDES_MUL_L_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_involutive' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_NEG_'
0. 'coq/Coq_ZArith_BinInt_Z_add_succ_r' 'hl/thm/int/INT_MUL_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_neg_pos'#@#variant 'hl/thm/real/REAL_NEG_LE0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_involutive' 'hl/thm/Complex/complexnumbers/CNJ_CNJ_'
0. 'coq/Coq_NArith_BinNat_N_log2_double'#@#variant 'hl/thm/Library/transc/LN_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_succ_r' 'hl/thm/int/INT_NEG_RMUL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_opp' 'hl/thm/Multivariate/vectors/SQRT_NEG_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_gt_cases' 'hl/thm/int/INT_NOT_EQ_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_ge' 'hl/thm/int/INT_OF_NUM_GE_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_bounded/0'#@#variant 'hl/thm/Library/floor/RATIONAL_NUM_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_sub_le_add_r' 'hl/thm/int/INT_LT_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_reg_l' 'hl/thm/Library/prime/MULT_LCANCEL_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_refl' 'hl/thm/Library/poly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_diag' 'hl/thm/real/REAL_SUB_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_le_mono_r' 'hl/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_lt_add_r' 'hl/thm/Library/prime/DIVIDES_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_2' 'hl/thm/Library/transc/ATN_0_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_pos_nonneg'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_LE_1_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_2' 'hl/thm/Library/transc/COS_2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_even_0' 'hl/thm/Multivariate/complexes/IM_II_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qnot_le_lt' 'hl/thm/int/INT_LET_TOTAL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_1' 'hl/thm/Library/transc/COS_2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_r' 'hl/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_le' 'hl/thm/int/INT_BOUNDS_LT_'
0. 'coq/Coq_Reals_Rpower_arcsinh_lt' 'hl/thm/Multivariate/vectors/SQRT_MONO_LE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_nonneg' 'hl/thm/Multivariate/transcendentals/ATN_BOUNDS_/0'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_succ_inj_wd' 'hl/thm/Multivariate/complexes/CNJ_INJ_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_null'#@#variant 'hl/thm/real/REAL_SGN_EQ_1'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_refl' 'hl/thm/Library/integer/INT_DIVIDES_REFL_'
0. 'coq/Coq_Reals_Rsqrt_def_continuity_seq' 'hl/thm/Library/analysis/CONTL_SEQ_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_divide' 'hl/thm/int/int_le_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_r' 'hl/thm/Library/analysis/LESS_MONO_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_nge' 'hl/thm/arith/NOT_LE_'
0. 'coq/Coq_ZArith_BinInt_Z_nle_gt' 'hl/thm/Library/analysis/real_le_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pred_le_mono' 'hl/thm/Library/transc/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_le_mono' 'hl/thm/Library/transc/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pred_div2_up' 'hl/thm/int/int_neg_th_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lnot_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_pos'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_POS_LE_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pow_2_r'#@#variant 'hl/thm/arith/EXP_2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_refl' 'hl/thm/arith/LE_REFL_'
0. 'coq/Coq_NArith_BinNat_N_add_lt_mono_l' 'hl/thm/real/REAL_LT_LADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_lt_mono_l' 'hl/thm/real/REAL_LE_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lor_m1_r'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RZERO_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_pred_double_succ' 'hl/thm/calc_num/ARITH_4'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_divide_cancel_l' 'hl/thm/Library/integer/INT_DIVIDES_LMUL2_EQ_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Zminus_succ_l' 'hl/thm/Multivariate/transcendentals/REAL_ABS_RPOW_'
0. 'coq/Coq_Numbers_Cyclic_DoubleCyclic_DoubleBase_wB_pos'#@#variant 'hl/thm/Multivariate/transcendentals/ARG_/0'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lxor_lnot_lnot' 'hl/thm/real/REAL_NEG_MUL2_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_antisym' 'hl/thm/Library/analysis/LESS_EQUAL_ANTISYM_'
0. 'coq/Coq_ZArith_BinInt_Z_rem_1_r'#@#variant 'hl/thm/arith/EXP_0'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z2Pos_inj_sqrt' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_INV_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_2' 'hl/thm/calc_int/REAL_NEG_0_'
0. 'coq/Coq_Init_Peano_O_S' 'hl/thm/Library/transc/REAL_EXP_NZ_'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_id' 'hl/thm/int/int_abstr_'
0. 'coq/Coq_ZArith_BinInt_Z_land_m1_l'#@#variant 'hl/thm/realax/REAL_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_add' 'hl/thm/real/REAL_SUB_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_shuffle3' 'hl/thm/calc_int/REAL_ADD_AC_2'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_0_l' 'hl/thm/realax/REAL_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_add_r' 'hl/thm/Complex/cpoly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_le_trans' 'hl/thm/realarith/REAL_LTE_TRANS_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_neq' 'hl/thm/arith/LT_LE_'
0. 'coq/Coq_ZArith_Znat_Zabs2N_inj_0' 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pred_sub'#@#variant 'hl/thm/arith/ADD1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_mod_idemp_l' 'hl/thm/arith/MOD_EXP_MOD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_le_iff' 'hl/thm/int/INT_MIN_LT_'
0. 'coq/Coq_QArith_Qminmax_Q_max_le_compat_r' 'hl/thm/Library/prime/DIVIDES_MUL_R_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_sub' 'hl/thm/real/REAL_SUB_ADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_le_iff' 'hl/thm/real/REAL_LE_MAX_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_assoc' 'hl/thm/realax/TREAL_MUL_ASSOC_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_gcd_divide_r' 'hl/thm/int/INT_MIN_MIN_/1'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_succ_diag_r' 'hl/thm/int/INT_ABS_LE_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_xO'#@#variant 'hl/thm/Complex/complex_transc/CX_CCOS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_lor' 'hl/thm/Complex/complex_transc/CEXP_SUB_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_2'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lcm_diag' 'hl/thm/int/INT_MIN_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_1_r'#@#variant 'hl/thm/realax/HREAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_Arith_Div2_div2_double'#@#variant 'hl/thm/arith/PRE_1'
0. 'coq/Coq_Reals_RIneq_Ropp_mult_distr_r' 'hl/thm/int/INT_NEG_RMUL_'
0. 'coq/Coq_Arith_Lt_lt_n_S' 'hl/thm/realax/NADD_INV_WELLDEF_'
0. 'coq/Coq_Reals_RIneq_Rplus_lt_le_0_compat'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_LE_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_lt_mono_r_iff'#@#variant 'hl/thm/int/INT_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_QArith_Qreduction_Qred_opp' 'hl/thm/Multivariate/vectors/SQRT_INV_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_pow' 'hl/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pos_pred_succ' 'hl/thm/Multivariate/vectors/LIFT_DROP_0'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_mul_lt_mono_l' 'hl/thm/real/REAL_LE_LADD_'
0. 'coq/Coq_NArith_BinNat_N_le_0_l' 'hl/thm/Library/integer/INT_DIVIDES_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_add' 'hl/thm/int/INT_SUB_ADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pred_le_mono' 'hl/thm/Library/transc/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_nonneg_l'#@#variant 'hl/thm/real/REAL_LT_LMUL_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_eq_0_gt_0_cases'#@#variant 'hl/thm/arith/LE_1_0'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_0_l' 'hl/thm/realax/HREAL_ADD_LID_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_add_lt_sub_r' 'hl/thm/real/REAL_LT_ADD_SUB_'
0. 'coq/Coq_Reals_Rpower_arcsinh_le' 'hl/thm/Multivariate/vectors/SQRT_MONO_LE_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_2'#@#variant 'hl/thm/Multivariate/complexes/RE_II_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_neg_pos'#@#variant 'hl/thm/real/REAL_NEG_LE0_'#@#variant
0. 'coq/Coq_Reals_R_sqrt_sqrt_lt_R0'#@#variant 'hl/thm/Multivariate/transcendentals/REAL_TAN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_pos'#@#variant 'hl/thm/Library/transc/REAL_EXP_LT_1_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_refl' 'hl/thm/realax/TREAL_EQ_REFL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lnot_lxor_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_nonneg_nonpos'#@#variant 'hl/thm/real/REAL_NEG_GT0_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_le_lin'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_LT_X_'#@#variant
0. 'coq/Coq_Bool_Bool_orb_diag' 'hl/thm/real/REAL_MIN_ACI_3'
0. 'coq/Coq_QArith_QArith_base_Qmult_lt_r'#@#variant 'hl/thm/int/INT_LT_RMUL_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_mul_below' 'hl/thm/real/REAL_SUB_ABS_'
0. 'coq/Coq_fourier_Fourier_util_Rlt_zero_pos_plus1'#@#variant 'hl/thm/Library/floor/INTEGER_CLOSED_6'
0. 'coq/Coq_ZArith_BinInt_Z_log2_le_mono' 'hl/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_lt_mono_r' 'hl/thm/realax/HREAL_LE_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_pos'#@#variant 'hl/thm/Library/pratt/PHI_LOWERBOUND_2_'#@#variant
0. 'coq/Coq_QArith_Qminmax_Q_min_assoc' 'hl/thm/realax/TREAL_ADD_ASSOC_'#@#variant
0. 'coq/Coq_Numbers_Cyclic_Int31_Ring31_Int31ring_add_comm'#@#variant 'hl/thm/realax/NADD_ADD_SYM_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_lxor_l' 'hl/thm/int/INT_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_glb_lt' 'hl/thm/Library/prime/DIVIDES_SUB_'
0. 'coq/Coq_NArith_BinNat_N_lt_lt_add_l' 'hl/thm/Library/integer/INT_DIVIDES_LMUL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_factor_r' 'hl/thm/real/REAL_MAX_MAX_/1'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_alt_dichotomy' 'hl/thm/realax/HREAL_LE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_le_lin'#@#variant 'hl/thm/Library/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lcm_1_l'#@#variant 'hl/thm/realax/REAL_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_pos'#@#variant 'hl/thm/Library/pocklington/PHI_LOWERBOUND_2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_Zpos' 'hl/thm/realax/HREAL_OF_NUM_LE_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_lcm_divide_iff' 'hl/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_eq_0' 'hl/thm/realarith/REAL_ENTIRE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_glb_iff' 'hl/thm/int/INT_LE_MIN_'
0. 'coq/Coq_Reals_RIneq_Rsqr_0_uniq' 'hl/thm/Library/analysis/REAL_INV_NZ_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_wf_0' 'hl/thm/wf/WF_num_'
0. 'coq/Coq_QArith_QArith_base_Qle_refl' 'hl/thm/Library/prime/DIVIDES_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lcm_1_l'#@#variant 'hl/thm/arith/ADD_CLAUSES_0'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_0_discr' 'hl/thm/Multivariate/transcendentals/REAL_EXP_NZ_'#@#variant
0. 'coq/Coq_ZArith_Zorder_not_Zeq' 'hl/thm/Library/prime/LESS_LESS_CASES_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div2_nonneg'#@#variant 'hl/thm/Multivariate/vectors/SQRT_LE_0_'#@#variant
0. 'coq/Coq_Numbers_BigNumPrelude_Zlt0_not_eq'#@#variant 'hl/thm/arith/LE_1_5'#@#variant
0. 'coq/Coq_Reals_R_sqr_Rsqr_pos_lt'#@#variant 'hl/thm/real/REAL_ABS_CASES_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_0_r' 'hl/thm/calc_int/REAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_pos_r'#@#variant 'hl/thm/real/REAL_LT_DIV2_EQ_'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_is_pos'#@#variant 'hl/thm/realarith/REAL_POS_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_pos'#@#variant 'hl/thm/int/INT_SGN_INEQS_1'#@#variant
0. 'coq/Coq_Reals_RIneq_Ropp_0_le_ge_contravar'#@#variant 'hl/thm/Library/pocklington/PHI_LOWERBOUND_2_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_refl' 'hl/thm/Complex/cpoly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftl_1_l'#@#variant 'hl/thm/int/INT_NEG_MINUS1_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_shiftl_mul_pow2'#@#variant 'hl/thm/int/INT_SUB_RNEG_'
0. 'coq/Coq_ZArith_Zeven_Zodd_Sn' 'hl/thm/Library/transc/LN_POS_LT_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_pos'#@#variant 'hl/thm/Library/transc/LN_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_succ_r' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_RMUL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_le_lin'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_LE_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_max' 'hl/thm/Library/floor/FRAC_FLOOR_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lor_land_distr_r' 'hl/thm/realax/TREAL_ADD_LDISTRIB_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rlt_or_le' 'hl/thm/arith/LTE_CASES_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_nge' 'hl/thm/int/INT_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_min_distr' 'hl/thm/Multivariate/transcendentals/REAL_EXP_SUB_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_sub' 'hl/thm/real/REAL_SUB_ADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_0_r' 'hl/thm/int/INT_MUL_RZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_le_mono' 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_NArith_BinNat_N_succ_inj_wd' 'hl/thm/Library/transc/ATN_INJ_'
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_Rabsolu' 'hl/thm/real/REAL_ABS_ABS_'
0. 'coq/Coq_Reals_RIneq_pos_INR'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_opp_l' 'hl/thm/Library/integer/INT_DIVIDES_LNEG_'
0. 'coq/Coq_Arith_PeanoNat_Nat_nlt_ge' 'hl/thm/realax/real_lt_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_succ_r' 'hl/thm/real/REAL_NEG_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_nonneg_r'#@#variant 'hl/thm/Library/analysis/REAL_LE_RMUL_IMP_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_eq_mul_1'#@#variant 'hl/thm/arith/ADD_EQ_0_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_nonneg_cancel_r'#@#variant 'hl/thm/int/INT_LE_MUL_EQ_1'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_lt_add_diag_r' 'hl/thm/int/INT_MAX_MAX_/0'
0. 'coq/Coq_Arith_Lt_nat_total_order' 'hl/thm/real/REAL_LT_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_succ_diag_r' 'hl/thm/Library/analysis/LESS_SUC_REFL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_ge_cases' 'hl/thm/int/INT_LTE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_0_l' 'hl/thm/realarith/REAL_POLY_NEG_CLAUSES_0'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_min_glb_iff' 'hl/thm/int/INT_LT_MIN_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_double_plus_one' 'hl/thm/Multivariate/transcendentals/CX_SIN_'#@#variant
0. 'coq/Coq_Arith_Factorial_fact_le' 'hl/thm/Library/transc/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_ngt' 'hl/thm/arith/NOT_LE_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_lt_iff' 'hl/thm/int/INT_LE_MAX_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_Zpos' 'hl/thm/int/int_lt_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ldiff_m1_r'#@#variant 'hl/thm/arith/EXP_0'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_l' 'hl/thm/realax/TREAL_LE_LADD_IMP_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_ones_equiv'#@#variant 'hl/thm/nums/BIT1_DEF_'
0. 'coq/Coq_ZArith_BinInt_Z_opp_neg_pos'#@#variant 'hl/thm/int/INT_NEG_LE0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_lt_mono_pos_l'#@#variant 'hl/thm/Library/analysis/REAL_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lt_add_lt_sub_r' 'hl/thm/real/REAL_LE_SUB_LADD_'
0. 'coq/Coq_NArith_BinNat_N_gt_lt_iff' 'hl/thm/realax/real_gt_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_Zpos' 'hl/thm/int/int_ge_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_pos_l'#@#variant 'hl/thm/Library/analysis/REAL_LE_LMUL_LOCAL_'#@#variant
0. 'coq/Coq_Reals_Rpower_arcsinh_lt' 'hl/thm/Library/floor/FLOOR_MONO_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div2_nonneg'#@#variant 'hl/thm/Library/transc/ATN_POS_LE_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_0_r'#@#variant 'hl/thm/Library/prime/INDEX_1_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_divide' 'hl/thm/int/int_le_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_lt_mono' 'hl/thm/int/INT_LT_NEG2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_move_0_r' 'hl/thm/Complex/complexnumbers/COMPLEX_LNEG_UNIQ_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rinv_0_lt_compat'#@#variant 'hl/thm/Library/pocklington/PHI_LOWERBOUND_1_STRONG_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_odd_opp' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_CNJ_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_lt_mono_r' 'hl/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_NArith_BinNat_N_mul_mod_idemp_l' 'hl/thm/arith/MOD_MULT_LMOD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_involutive' 'hl/thm/int/INT_SGN_INT_SGN_'
0. 'coq/Coq_QArith_QArith_base_Qmult_lt_l'#@#variant 'hl/thm/real/REAL_LE_LMUL_EQ_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_square_nonneg'#@#variant 'hl/thm/int/INT_LE_SQUARE_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_total' 'hl/thm/Library/prime/LESS_LESS_CASES_'
0. 'coq/Coq_ZArith_BinInt_Z_opp_min_distr' 'hl/thm/Multivariate/transcendentals/REAL_EXP_SUB_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_nge' 'hl/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_divide' 'hl/thm/int/num_divides_'
0. 'coq/Coq_ZArith_BinInt_Z_opp_inj_wd' 'hl/thm/Library/prime/CANCEL_TIMES2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_lt_mono_pos_r'#@#variant 'hl/thm/int/INT_LT_RMUL_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_le_lin'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_LE_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_0_l' 'hl/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_Reals_ROrderedType_ROrder_le_refl' 'hl/thm/Multivariate/misc/GE_REFL_'
0. 'coq/Coq_PArith_BinPos_Pos_ge_le_iff' 'hl/thm/int/INT_GT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_le_compat_r' 'hl/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_0' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_1_l' 'hl/thm/arith/ADD_CLAUSES_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_odd_2'#@#variant 'hl/thm/nums/ZERO_DEF_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_pos_cancel_l'#@#variant 'hl/thm/real/REAL_LT_MUL_EQ_0'#@#variant
0. 'coq/Coq_Arith_Lt_lt_pred_n_n'#@#variant 'hl/thm/Library/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_pos' 'hl/thm/int/INT_SGN_INEQS_3'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_0_l' 'hl/thm/realax/REAL_MUL_LID_'#@#variant
0. 'coq/Coq_Arith_Max_max_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_refl' 'hl/thm/int/INT_LE_REFL_'
0. 'coq/Coq_NArith_BinNat_N_sqrt_le_lin' 'hl/thm/Library/pocklington/PHI_LIMIT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_lcm_r' 'hl/thm/real/REAL_MAX_MAX_/1'
0. 'coq/Coq_Arith_Div2_lt_div2'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_LE_X_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_alt_dichotomy' 'hl/thm/realax/REAL_LE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_setbit_spec_prime'#@#variant 'hl/thm/Complex/complexnumbers/complex_div_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_is_pos'#@#variant 'hl/thm/real/REAL_LT_POW2_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_max_l' 'hl/thm/realax/HREAL_LE_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pred_le_mono' 'hl/thm/Library/floor/FLOOR_MONO_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_le_mono' 'hl/thm/Library/transc/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_add_comm' 'hl/thm/realax/NADD_ADD_SYM_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lor_diag' 'hl/thm/real/REAL_MAX_ACI_3'
0. 'coq/Coq_ZArith_Zeven_Zquot2_opp' 'hl/thm/Multivariate/complexes/CNJ_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_1_l'#@#variant 'hl/thm/realax/NADD_LE_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_even_2'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_succ_l' 'hl/thm/calc_int/REAL_MUL_LNEG_'
0. 'coq/Coq_ZArith_BinInt_Z_max_lt_iff' 'hl/thm/int/INT_LE_MAX_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_pos_nonneg'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_LE_1_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qle_refl' 'hl/thm/realax/TREAL_EQ_REFL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lcm_eq_0' 'hl/thm/Complex/complexnumbers/COMPLEX_ENTIRE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lcm_eq_0' 'hl/thm/realarith/REAL_ENTIRE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_nonneg_r'#@#variant 'hl/thm/int/INT_LE_RMUL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_1_r'#@#variant 'hl/thm/int/INT_MUL_RZERO_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_lcm_divide_iff' 'hl/thm/real/REAL_MAX_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_pow' 'hl/thm/Multivariate/transcendentals/RPOW_INV_'
0. 'coq/Coq_Reals_Rpower_arcsinh_le' 'hl/thm/Library/floor/FLOOR_MONO_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_lt_mono_r' 'hl/thm/realax/HREAL_LE_ADD_RCANCEL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_nonneg'#@#variant 'hl/thm/Library/transc/ATN_POS_LT_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lxor_eq_0_iff' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_0_r' 'hl/thm/realax/HREAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_pos_l'#@#variant 'hl/thm/real/REAL_LE_LMUL_EQ_'#@#variant
0. 'coq/Coq_Arith_Min_min_0_r' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div2_neg' 'hl/thm/int/INT_SGN_INEQS_6'#@#variant
0. 'coq/Coq_fourier_Fourier_util_Rfourier_le'#@#variant 'hl/thm/int/INT_LE_LMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_land_0_r' 'hl/thm/int/INT_MUL_RZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_le_mono' 'hl/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_le_compat_l' 'hl/thm/Library/integer/INT_DIVIDES_MUL_L_'
0. 'coq/Coq_Reals_Rtrigo1_tan_gt_0'#@#variant 'hl/thm/Library/transc/SIN_POS_PI_LE_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_le_mono_l' 'hl/thm/realax/HREAL_LE_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_succ_l' 'hl/thm/arith/ADD_CLAUSES_2'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_diag' 'hl/thm/real/REAL_SUB_REFL_'#@#variant
0. 'coq/Coq_Reals_R_sqrt_sqrt_lt_R0'#@#variant 'hl/thm/real/REAL_LE_INV_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_add_r' 'hl/thm/arith/LE_ADD_'
0. 'coq/Coq_ZArith_BinInt_Zminus_succ_l' 'hl/thm/Multivariate/transcendentals/REAL_INV_RPOW_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_pos'#@#variant 'hl/thm/Library/floor/INTEGER_ABS_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_le_mono' 'hl/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_even_0' 'hl/thm/Multivariate/complexes/RE_II_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_pos'#@#variant 'hl/thm/calc_num/ARITH_44'
0. 'coq/Coq_QArith_Qabs_Qle_Qabs' 'hl/thm/real/REAL_ABS_LE_'
0. 'coq/Coq_ZArith_BinInt_Z_abs_involutive' 'hl/thm/int/INT_SGN_INT_SGN_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_max_l' 'hl/thm/realax/NADD_LE_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_lor' 'hl/thm/Library/transc/REAL_EXP_ADD_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_ge' 'hl/thm/real/REAL_OF_NUM_GT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_land_0_r' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RZERO_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_divide_mono_r' 'hl/thm/Library/prime/LESS_MONO_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lxor_0_l' 'hl/thm/int/INT_MUL_LID_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_1_l' 'hl/thm/arith/ADD_CLAUSES_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_0_r' 'hl/thm/Library/pocklington/ORDER_1_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sub_succ' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_MUL2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_odd_1'#@#variant 'hl/thm/Multivariate/complexes/IM_II_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_1_l'#@#variant 'hl/thm/Library/prime/DIVIDES_1_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LT_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_even_2' 'hl/thm/nums/ZERO_DEF_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_add_le_sub_r' 'hl/thm/int/INT_LE_SUB_LADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_even_1' 'hl/thm/nums/ZERO_DEF_'
0. 'coq/Coq_Reals_Rminmax_R_le_max_r' 'hl/thm/real/REAL_MAX_MAX_/1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_shuffle3' 'hl/thm/arith/MULT_AC_2'
0. 'coq/Coq_Reals_Rfunctions_powerRZ_O' 'hl/thm/realax/real_pow_0'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_simpl_r' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_lt_add_r' 'hl/thm/Library/prime/DIVIDES_RMUL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_even_0' 'hl/thm/nums/ZERO_DEF_'
0. 'coq/Coq_NArith_BinNat_N_add_0_l' 'hl/thm/arith/MULT_CLAUSES_2'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_le_mono_l' 'hl/thm/real/REAL_LE_LADD_'
0. 'coq/Coq_ZArith_BinInt_Z2Pos_inj_double'#@#variant 'hl/thm/Multivariate/complexes/CSQRT_CX_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_opp_min_distr' 'hl/thm/Multivariate/transcendentals/REAL_EXP_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_sub_eq_r' 'hl/thm/Library/prime/ADD_IMP_SUB_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pred_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LT_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_le_min_r' 'hl/thm/Library/prime/INDEX_TRIVIAL_BOUND_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_even_0' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_1_l' 'hl/thm/Library/integer/INT_DIVIDES_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lcm_1_r'#@#variant 'hl/thm/arith/ADD1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div2_nonneg'#@#variant 'hl/thm/Library/floor/RATIONAL_INV_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_le_mono' 'hl/thm/Library/transc/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Ring31_Int31ring_add_comm'#@#variant 'hl/thm/realax/NADD_MUL_SYM_'
0. 'coq/Coq_QArith_QArith_base_Zlt_Qlt' 'hl/thm/int/int_le_'
0. 'coq/Coq_ZArith_BinInt_Z_le_min_l' 'hl/thm/Library/analysis/SUB_LESS_EQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_double_spec' 'hl/thm/real/REAL_SUB_LZERO_'
0. 'coq/Coq_NArith_Ndigits_Ndiv2_double_plus_one' 'hl/thm/Library/transc/EXP_LN_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_rem_idemp_r' 'hl/thm/arith/MOD_MULT_RMOD_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_inv_normc' 'hl/thm/Complex/complexnumbers/CX_NEG_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_lt_add_l' 'hl/thm/Library/integer/INT_DIVIDES_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_shuffle3' 'hl/thm/calc_int/REAL_ADD_AC_2'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_inj_wd' 'hl/thm/calc_num/ARITH_48'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_sub_triangle' 'hl/thm/int/INT_SUB_ABS_'
0. 'coq/Coq_ZArith_BinInt_Z_pred_inj_wd' 'hl/thm/calc_num/ARITH_54'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_double_mul' 'hl/thm/Multivariate/transcendentals/REAL_ABS_RPOW_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_sub_le_add_r' 'hl/thm/real/REAL_LT_ADD_SUB_'
0. 'coq/Coq_Init_Peano_le_n_S' 'hl/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Arith_Plus_plus_lt_compat_r' 'hl/thm/realax/HREAL_LE_MUL_RCANCEL_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_ngt' 'hl/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_NArith_BinNat_N_neq_succ_0' 'hl/thm/Library/transc/REAL_EXP_NZ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_refl' 'hl/thm/arith/LE_REFL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_pos_cancel_r'#@#variant 'hl/thm/int/INT_LT_MUL_EQ_1'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div2_div'#@#variant 'hl/thm/arith/ADD1_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_le_mono' 'hl/thm/Library/transc/ATN_MONO_LT_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_pred'#@#variant 'hl/thm/Multivariate/complexes/CSQRT_CX_'#@#variant
0. 'coq/Coq_Arith_Minus_minus_plus' 'hl/thm/real/REAL_ADD_SUB_'
0. 'coq/Coq_fourier_Fourier_util_Rle_zero_pos_plus1'#@#variant 'hl/thm/real/REAL_LT_INV_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lor_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lor_0_l' 'hl/thm/int/INT_ADD_LID_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_le_mono_r' 'hl/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_refl' 'hl/thm/Library/integer/INT_DIVIDES_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_0_l_prime' 'hl/thm/arith/DIV_0_'#@#variant
0. 'coq/Coq_ZArith_Zdiv_Z_mod_same_full' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_add_r' 'hl/thm/Complex/cpoly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ldiff_diag' 'hl/thm/real/REAL_SUB_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_eq_0_gt_0_cases'#@#variant 'hl/thm/arith/LE_1_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_1_r' 'hl/thm/arith/ADD_0_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lxor_nilpotent' 'hl/thm/arith/SUB_REFL_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_lt_add_r' 'hl/thm/Library/integer/INT_DIVIDES_RMUL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_le_compat_l' 'hl/thm/realax/REAL_LE_LADD_IMP_'
0. 'coq/Coq_ZArith_BinInt_Z_sgn_opp' 'hl/thm/Multivariate/transcendentals/SIN_NEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_pos'#@#variant 'hl/thm/Library/pratt/PHI_LOWERBOUND_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sub_succ' 'hl/thm/arith/SUB_SUC_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_refl' 'hl/thm/Multivariate/misc/GE_REFL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_le_mono_l' 'hl/thm/real/REAL_LT_LADD_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_of_Z' 'hl/thm/int/NUM_OF_INT_OF_NUM_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_refl' 'hl/thm/Library/integer/INT_DIVIDES_REFL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_le_mono' 'hl/thm/Library/floor/FLOOR_MONO_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_even_1'#@#variant 'hl/thm/Multivariate/complexes/IM_II_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div_mul' 'hl/thm/Complex/complexnumbers/COMPLEX_DIV_RMUL_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_pos_cancel_l'#@#variant 'hl/thm/int/INT_LT_MUL_EQ_0'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_neq_succ_0' 'hl/thm/arith/FACT_NZ_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_shuffle3' 'hl/thm/arith/MULT_AC_2'
0. 'coq/Coq_ZArith_BinInt_Z_pred_succ' 'hl/thm/Multivariate/transcendentals/CCOS_CACS_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qplus_le_l' 'hl/thm/int/INT_LE_RADD_'
0. 'coq/Coq_PArith_BinPos_Pos_max_le_compat_r' 'hl/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_null_iff' 'hl/thm/int/INT_SGN_INEQS_4'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_le_ge_cases' 'hl/thm/int/INT_LE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftl_1_l'#@#variant 'hl/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_cos_sin'#@#variant 'hl/thm/Library/transc/COS_SIN_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rnot_gt_ge' 'hl/thm/int/INT_LTE_TOTAL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ldiff_m1_l'#@#variant 'hl/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_comm' 'hl/thm/realax/NADD_MUL_SYM_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_odd_0' 'hl/thm/Multivariate/complexes/IM_II_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_odd_sub' 'hl/thm/int/INT_OF_NUM_SUB_'
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_2' 'hl/thm/int/INT_NEG_0_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_red' 'hl/thm/Complex/complex_transc/CX_CEXP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_ngt' 'hl/thm/int/INT_LT_'
0. 'coq/Coq_Bool_Bool_andb_true_l' 'hl/thm/int/INT_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lxor_eq_0_iff' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_0_'#@#variant
0. 'coq/Coq_Reals_RList_RList_P1' 'hl/thm/Library/floor/RATIONAL_CLOSED_6'
0. 'coq/Coq_ZArith_BinInt_Zopp_mult_distr_r' 'hl/thm/int/INT_MUL_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_nonneg_l'#@#variant 'hl/thm/Library/analysis/REAL_LT_LMUL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_land_lnot_diag' 'hl/thm/calc_int/REAL_ADD_RINV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_add_cancel_r' 'hl/thm/Library/poly/POLY_DIVIDES_SUB_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lt_total' 'hl/thm/real/REAL_LT_TOTAL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_pos_r'#@#variant 'hl/thm/real/REAL_LE_DIV2_EQ_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_0_sub'#@#variant 'hl/thm/int/INT_SUB_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sub_1_r'#@#variant 'hl/thm/arith/ADD1_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lxor_lnot_lnot' 'hl/thm/arith/SUB_ADD_RCANCEL_'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_lt_total' 'hl/thm/int/INT_LT_TOTAL_'
0. 'coq/Coq_NArith_BinNat_N_add_lt_mono_l' 'hl/thm/realax/HREAL_LE_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_pos' 'hl/thm/calc_num/ARITH_72'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mod_divide' 'hl/thm/Library/prime/DIVIDES_MOD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_le_mono' 'hl/thm/Library/transc/ATN_MONO_LT_'
0. 'coq/Coq_Reals_RIneq_Ropp_0_lt_gt_contravar'#@#variant 'hl/thm/Library/integer/INT_PRIME_GE_2_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_opp_min_distr' 'hl/thm/Multivariate/transcendentals/REAL_EXP_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_Zpos' 'hl/thm/realax/HREAL_OF_NUM_LE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_nonneg_r'#@#variant 'hl/thm/real/REAL_LT_RMUL_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_le_nlt' 'hl/thm/int/INT_LT_'
0. 'coq/Coq_NArith_BinNat_N_divide_sub_r' 'hl/thm/Library/prime/DIVIDES_SUB_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mod_le' 'hl/thm/arith/DIV_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_le_mono_l_iff' 'hl/thm/Library/prime/DIVIDES_EXP2_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_min_distr' 'hl/thm/Library/transc/REAL_EXP_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_reg_l' 'hl/thm/realax/HREAL_ADD_LCANCEL_'
0. 'coq/Coq_Reals_RIneq_Ropp_0_le_ge_contravar'#@#variant 'hl/thm/Library/transc/LN_POS_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sub_le_mono_r' 'hl/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_div2_double'#@#variant 'hl/thm/Library/transc/LN_EXP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_eq_0' 'hl/thm/arith/ADD_EQ_0_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qeq_refl' 'hl/thm/realax/TREAL_EQ_REFL_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_diag' 'hl/thm/real/REAL_MUL_2_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_pred_sub' 'hl/thm/arith/ADD1_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_shuffle3' 'hl/thm/real/REAL_MAX_ACI_2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftl_opp_r' 'hl/thm/real/REAL_SUB_RNEG_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_ge_cases' 'hl/thm/realax/TREAL_LE_TOTAL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_1_r'#@#variant 'hl/thm/calc_int/REAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_0_r'#@#variant 'hl/thm/arith/MOD_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_le_compat_r' 'hl/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_sub_le_mono_r' 'hl/thm/Library/prime/LESS_MONO_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_ge_cases' 'hl/thm/arith/LE_CASES_'
0. 'coq/Coq_ZArith_BinInt_Z_ldiff_m1_r'#@#variant 'hl/thm/Library/prime/INDEX_1_'#@#variant
0. 'coq/Coq_Reals_Ratan_ps_atan_opp' 'hl/thm/Multivariate/transcendentals/CNJ_CSIN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lcm_eq_0' 'hl/thm/real/REAL_DIV_EQ_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_succ_l' 'hl/thm/arith/MULT_1'
0. 'coq/Coq_ZArith_BinInt_Z_mul_shuffle3' 'hl/thm/arith/ADD_AC_2'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_nle_gt' 'hl/thm/realax/real_lt_'
0. 'coq/Coq_NArith_BinNat_N_shiftr_shiftr' 'hl/thm/arith/EXP_MULT_'
0. 'coq/Coq_Arith_Wf_nat_well_founded_ltof' 'hl/thm/wf/WF_MEASURE_'
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_le_mono' 'hl/thm/arith/FACT_MONO_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_le_compat_r' 'hl/thm/arith/EXP_MONO_LE_IMP_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lor_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_min_id' 'hl/thm/int/INT_MIN_ACI_3'
0. 'coq/Coq_ZArith_BinInt_Z_log2_pos'#@#variant 'hl/thm/Library/pocklington/PHI_LOWERBOUND_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_pred_l' 'hl/thm/Library/floor/FLOOR_/1'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_opp' 'hl/thm/Complex/complexnumbers/CX_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_add_r' 'hl/thm/real/REAL_MAX_MAX_/0'
0. 'coq/Coq_QArith_QArith_base_Zlt_Qlt' 'hl/thm/real/REAL_OF_NUM_GE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_greatest' 'hl/thm/Library/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_succ_not_1' 'hl/thm/nums/IND_SUC_0_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_lt_mono_l' 'hl/thm/realax/NADD_LE_LADD_'
0. 'coq/Coq_ZArith_BinInt_Z_div2_neg' 'hl/thm/int/INT_SGN_INEQS_5'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_land_m1_l'#@#variant 'hl/thm/realax/REAL_ADD_LID_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lor_diag' 'hl/thm/real/REAL_MIN_ACI_3'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_neq_0_succ' 'hl/thm/calc_num/ARITH_91'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_lt_mono'#@#variant 'hl/thm/real/REAL_LT_MUL2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_0_r' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RZERO_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_divide_mono_r' 'hl/thm/realax/HREAL_LE_MUL_RCANCEL_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_le_mono_pos_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LE_EQ_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_max_lub_lt_iff' 'hl/thm/int/INT_MAX_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_m1_0'#@#variant 'hl/thm/Library/transc/PI2_BOUNDS_1'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_nge' 'hl/thm/int/INT_LT_'
0. 'coq/Coq_Reals_ROrderedType_ROrder_le_refl' 'hl/thm/realax/HREAL_LE_REFL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lxor_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_clearbit_spec_prime'#@#variant 'hl/thm/Multivariate/complexes/complex_div_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_succ_inj_wd' 'hl/thm/Complex/complexnumbers/CNJ_INJ_'
0. 'coq/Coq_ZArith_Zorder_Zsucc_gt_compat' 'hl/thm/Library/floor/FLOOR_MONO_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_pos_cancel_r'#@#variant 'hl/thm/Library/analysis/REAL_LT_RDIV_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_nle_gt' 'hl/thm/arith/NOT_LE_'
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_greatest' 'hl/thm/Library/prime/DIVIDES_SUB_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_id' 'hl/thm/Multivariate/vectors/LIFT_DROP_0'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_max_r' 'hl/thm/real/REAL_MAX_MAX_/1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div2_nonneg'#@#variant 'hl/thm/Library/floor/RATIONAL_INV_EQ_'
0. 'coq/Coq_Bool_Bool_andb_true_l' 'hl/thm/arith/MULT_CLAUSES_2'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_min_le_compat_l' 'hl/thm/realax/TREAL_LE_LADD_IMP_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_odd_spec' 'hl/thm/Multivariate/complexes/real_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div2_spec'#@#variant 'hl/thm/arith/ADD1_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_lt_mono_pos_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LE_EQ_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_max_le_compat_r' 'hl/thm/Library/analysis/LESS_MONO_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_refl' 'hl/thm/Library/integer/INT_DIVIDES_REFL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_0_l' 'hl/thm/arith/MULT_CLAUSES_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_quot_le_mono'#@#variant 'hl/thm/real/REAL_LE_RMUL_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lcm_divide_iff' 'hl/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_1_l'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_divide_mono_l' 'hl/thm/realax/NADD_LE_LMUL_'
0. 'coq/Coq_ZArith_BinInt_Z_divide_refl' 'hl/thm/Library/integer/INT_DIVIDES_REFL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_1_r'#@#variant 'hl/thm/Library/prime/INDEX_0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_pos'#@#variant 'hl/thm/Multivariate/transcendentals/REAL_EXP_LT_1_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_div2' 'hl/thm/Complex/complex_transc/CX_CSIN_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_eq_1'#@#variant 'hl/thm/arith/MULT_EQ_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_sub_r' 'hl/thm/Library/prime/DIVIDES_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ldiff_land' 'hl/thm/int/INT_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ldiff_land' 'hl/thm/realax/real_sub_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_le_lin'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_LE_X_'#@#variant
0. 'coq/Coq_FSets_FMapPositive_append_neutral_l' 'hl/thm/arith/ADD_CLAUSES_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lor_eq_0_iff' 'hl/thm/arith/MULT_EQ_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_le_compat_l' 'hl/thm/real/REAL_LT_LADD_IMP_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lcm_1_l'#@#variant 'hl/thm/realax/REAL_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_1_r' 'hl/thm/Library/prime/INDEX_0_'
0. 'coq/Coq_Reals_RIneq_Rplus_lt_le_0_compat'#@#variant 'hl/thm/realarith/REAL_LTE_ADD_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_add_lt_mono_r' 'hl/thm/realax/HREAL_LE_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_1_l'#@#variant 'hl/thm/int/INT_ADD_LID_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_antisym' 'hl/thm/Library/analysis/LESS_EQUAL_ANTISYM_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lnot_0_l' 'hl/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_divide' 'hl/thm/real/REAL_OF_NUM_LT_'
0. 'coq/Coq_ZArith_BinInt_Z_opp_involutive' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_NEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_le_iff' 'hl/thm/int/INT_LE_MAX_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_sqrt' 'hl/thm/Multivariate/transcendentals/CX_COS_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rmax_Rlt' 'hl/thm/int/INT_MAX_LE_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_0_succ' 'hl/thm/Multivariate/transcendentals/ATN_BOUNDS_/0'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_glb_lt' 'hl/thm/Library/integer/INT_DIVIDES_ADD_'
0. 'coq/Coq_Bool_Bool_negb_xorb_r' 'hl/thm/real/REAL_NEG_RMUL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_diag' 'hl/thm/real/REAL_MAX_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_pred_l' 'hl/thm/int/INT_MUL_LNEG_'
0. 'coq/Coq_Reals_Rfunctions_powerRZ_lt'#@#variant 'hl/thm/real/REAL_POW_LE_1_'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_xO'#@#variant 'hl/thm/Complex/complex_transc/CX_CEXP_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_add_r' 'hl/thm/Library/prime/DIVIDES_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_pos' 'hl/thm/int/INT_SGN_INEQS_3'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_refl' 'hl/thm/int/INT_LE_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_gt_lt_iff' 'hl/thm/int/INT_GE_'
0. 'coq/Coq_Reals_Rtrigo1_COS_bound/1' 'hl/thm/Library/transc/ATN_/1'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_divide_mono_r' 'hl/thm/Library/prime/DIVIDES_EXP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_div_1_r' 'hl/thm/arith/ADD_0_'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tplus_assoc_l_stable' 'hl/thm/Library/multiplicative/MULTIPLICATIVE_TAU_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_pos_cancel_l'#@#variant 'hl/thm/int/INT_LT_MUL_EQ_0'#@#variant
0. 'coq/Coq_NArith_Ndist_ni_min_inf_l' 'hl/thm/realax/REAL_MUL_LID_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_le_compat_r' 'hl/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_max_l' 'hl/thm/int/INT_MAX_MAX_/0'
0. 'coq/Coq_Reals_Rtrigo1_sin_neg' 'hl/thm/Multivariate/transcendentals/CNJ_CTAN_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_Zpos' 'hl/thm/int/int_le_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_le_trans' 'hl/thm/arith/LTE_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_inj_wd' 'hl/thm/nums/SUC_INJ_'
0. 'coq/Coq_PArith_Pnat_SuccNat2Pos_inj_succ' 'hl/thm/Complex/complex_transc/CX_CEXP_'
0. 'coq/Coq_Reals_Rminmax_R_min_le_compat_r' 'hl/thm/Library/integer/INT_DIVIDES_MUL_R_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_sgn' 'hl/thm/int/INT_ABS_ABS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_nlt_ge' 'hl/thm/Library/analysis/real_le_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_succ_r_prime' 'hl/thm/arith/MULT_SUC_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_1_l' 'hl/thm/int/INT_MUL_LID_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_add_r' 'hl/thm/Library/integer/INT_DIVIDES_ADD_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_odd_2' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_nonneg_r'#@#variant 'hl/thm/real/REAL_LE_RMUL_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_add_succ_r' 'hl/thm/arith/ADD_SUC_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_lt_trans' 'hl/thm/int/INT_LET_TRANS_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_odd_1' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_le_compat_l' 'hl/thm/realax/TREAL_LE_LADD_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_le_mono' 'hl/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_pos_cancel_r'#@#variant 'hl/thm/Library/floor/INTEGER_ADD_EQ_1'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_l' 'hl/thm/real/REAL_LT_LADD_IMP_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_odd_0' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_nge' 'hl/thm/int/INT_NOT_LE_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_total' 'hl/thm/Library/analysis/LESS_CASES_IMP_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_size_nat_monotone' 'hl/thm/Library/calc_real/REAL_MONO_POW2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_0_r' 'hl/thm/calc_int/REAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_pos_cancel_l'#@#variant 'hl/thm/real/REAL_LT_MUL_EQ_0'#@#variant
0. 'coq/Coq_FSets_FMapPositive_append_neutral_l' 'hl/thm/realax/REAL_MUL_LID_'#@#variant
0. 'coq/Coq_Init_Peano_mult_n_O' 'hl/thm/realax/HREAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_opp_r' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_RNEG_'
0. 'coq/Coq_NArith_BinNat_N_gcd_1_r'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pred_le_mono' 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_le_mono' 'hl/thm/realax/NADD_INV_WELLDEF_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_ones_equiv'#@#variant 'hl/thm/calc_num/ARITH_4'
0. 'coq/Coq_Reals_Rbasic_fun_Rle_max_compat_r' 'hl/thm/realax/HREAL_LE_MUL_RCANCEL_IMP_'
0. 'coq/Coq_QArith_Qminmax_Q_max_lub_lt_iff' 'hl/thm/int/INT_MAX_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_null'#@#variant 'hl/thm/real/REAL_SGN_EQ_1'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lcm_1_l'#@#variant 'hl/thm/arith/MULT_CLAUSES_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_succ_r' 'hl/thm/arith/ADD_SUC_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_le_lin' 'hl/thm/Library/pocklington/PHI_LIMIT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_lt_mono_l' 'hl/thm/int/INT_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_lt_mono_r' 'hl/thm/arith/LT_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_sub_r' 'hl/thm/Library/integer/INT_DIVIDES_ADD_'
0. 'coq/Coq_Reals_RIneq_opp_IZR' 'hl/thm/Multivariate/transcendentals/CX_EXP_'#@#variant
0. 'coq/Coq_Reals_Exp_prop_exp_pos_pos'#@#variant 'hl/thm/real/REAL_LE_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_le_compat_l' 'hl/thm/int/INT_LE_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_glb_lt' 'hl/thm/Library/integer/INT_DIVIDES_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_quot_same'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_DIV_REFL_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_lt_trans' 'hl/thm/arith/LET_TRANS_'
0. 'coq/Coq_ZArith_Zpower_two_p_correct' 'hl/thm/real/REAL_SUB_LZERO_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_add_diag_r' 'hl/thm/real/REAL_MAX_MAX_/0'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_land_diag' 'hl/thm/int/INT_MAX_ACI_3'
0. 'coq/Coq_Reals_Rtopology_open_set_P3' 'hl/thm/Multivariate/realanalysis/REAL_MEASURABLE_DIFF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_le_compat_l' 'hl/thm/Library/integer/INT_DIVIDES_MUL_L_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_add_lt_sub_r' 'hl/thm/real/REAL_LE_SUB_LADD_'
0. 'coq/Coq_Reals_Rtopology_open_set_P2' 'hl/thm/Multivariate/realanalysis/REAL_MEASURABLE_DIFF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_involutive' 'hl/thm/Multivariate/complexes/CNJ_CNJ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_le_compat_l' 'hl/thm/realax/TREAL_LE_LADD_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_sub' 'hl/thm/arith/ADD_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_ge_le_iff' 'hl/thm/realax/real_ge_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_setbit_spec_prime'#@#variant 'hl/thm/realax/real_div_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mod_opp_opp' 'hl/thm/Library/analysis/ABS_DIV_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_1_l'#@#variant 'hl/thm/realarith/REAL_POLY_NEG_CLAUSES_0'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_refl' 'hl/thm/realax/HREAL_LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_even_0' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_le_mono_l' 'hl/thm/realax/NADD_LE_RMUL_'
0. 'coq/Coq_Reals_R_Ifp_base_fp/1' 'hl/thm/Library/transc/SIN_BOUNDS_/1'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_reg_l' 'hl/thm/Library/prime/MULT_LCANCEL_'#@#variant
0. 'coq/Coq_Reals_R_Ifp_base_fp/0' 'hl/thm/Library/transc/SIN_BOUNDS_/1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div2_double' 'hl/thm/Library/transc/LN_EXP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_lt' 'hl/thm/int/INT_BOUNDS_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_land_m1_l'#@#variant 'hl/thm/int/INT_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_ngt' 'hl/thm/realarith/REAL_NOT_LT_'
0. 'coq/Coq_Reals_Rtrigo1_sin_lb_gt_0'#@#variant 'hl/thm/Library/transc/TAN_POS_PI2_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rle_min_compat_l' 'hl/thm/Library/integer/INT_DIVIDES_MUL_L_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftr_shiftr' 'hl/thm/arith/EXP_MULT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_le_mono_l' 'hl/thm/Library/prime/DIVIDES_EXP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_gt_cases' 'hl/thm/realarith/REAL_LET_TOTAL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_le_mono_l' 'hl/thm/realax/NADD_LE_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_double_spec' 'hl/thm/real/REAL_SUB_LZERO_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_diag' 'hl/thm/real/REAL_MUL_2_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z2Pos_inj_succ_double'#@#variant 'hl/thm/Multivariate/complexes/CX_SQRT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_lt_mono_l' 'hl/thm/int/INT_LE_LADD_'
0. 'coq/Coq_Arith_Plus_plus_le_compat_r' 'hl/thm/Library/prime/DIVIDES_MUL_R_'
0. 'coq/Coq_Reals_Rtrigo1_cos_sin'#@#variant 'hl/thm/Multivariate/transcendentals/SIN_COS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_refl' 'hl/thm/Library/prime/DIVIDES_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_lcm_divide_iff' 'hl/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_le_mono_nonneg_l'#@#variant 'hl/thm/Library/analysis/REAL_LT_LMUL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lor_0_l' 'hl/thm/int/INT_ADD_LID_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_quot_same'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_DIV_REFL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_0_l' 'hl/thm/int/INT_NEG_MINUS1_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_lt_add_r' 'hl/thm/Library/prime/DIVIDES_RMUL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_0_discr' 'hl/thm/Library/transc/REAL_EXP_NZ_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_min_glb' 'hl/thm/Library/integer/INT_DIVIDES_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ldiff_m1_r'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_0_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rlt_le' 'hl/thm/realax/NADD_EQ_IMP_LE_'
0. 'coq/Coq_NArith_BinNat_N_le_max_l' 'hl/thm/real/REAL_MAX_MAX_/0'
0. 'coq/Coq_Reals_Rtrigo1_SIN_bound/0' 'hl/thm/Library/transc/ATN_BOUNDS_/0'#@#variant
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_lt_le' 'hl/thm/int/INT_LT_GT_'
0. 'coq/Coq_Strings_Ascii_ascii_nat_embedding' 'hl/thm/int/NUM_OF_INT_OF_NUM_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_lt_mono_l' 'hl/thm/real/REAL_LE_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_opp_l' 'hl/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_NArith_BinNat_N_lcm_eq_0' 'hl/thm/realarith/REAL_ENTIRE_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_le_sub_le_add_r' 'hl/thm/real/REAL_LT_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pred_le_mono' 'hl/thm/Library/transc/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_odd_1'#@#variant 'hl/thm/Multivariate/complexes/RE_II_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_lt_mono'#@#variant 'hl/thm/real/REAL_LT_MUL2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sub_succ' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_MUL2_'
0. 'coq/Coq_QArith_Qabs_Qabs_wd' 'hl/thm/Multivariate/vectors/SQRT_MONO_LE_'
0. 'coq/Coq_Reals_Rtrigo1_SIN_bound/1' 'hl/thm/calc_num/ARITH_93'
0. 'coq/Coq_NArith_BinNat_N_odd_2'#@#variant 'hl/thm/Multivariate/complexes/IM_II_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_le_incl' 'hl/thm/realax/NADD_EQ_IMP_LE_'
0. 'coq/Coq_Reals_RIneq_Rplus_lt_le_compat' 'hl/thm/arith/LTE_ADD2_'
0. 'coq/Coq_Reals_Rpower_arcsinh_sinh' 'hl/thm/Multivariate/transcendentals/CSIN_CASN_'#@#variant
0. 'coq/Coq_ZArith_Zeven_Zeven_pred' 'hl/thm/Library/pratt/PHI_LOWERBOUND_1_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_nlt_ge' 'hl/thm/int/INT_LT_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_pos'#@#variant 'hl/thm/int/INT_SGN_INEQS_0'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_le_mono' 'hl/thm/arith/FACT_MONO_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_opp' 'hl/thm/Multivariate/transcendentals/SIN_NEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftl_mul_pow2'#@#variant 'hl/thm/Complex/complexnumbers/complex_sub_'
0. 'coq/Coq_QArith_Qabs_Qabs_triangle' 'hl/thm/real/REAL_ABS_TRIANGLE_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_diag' 'hl/thm/Library/analysis/REAL_DOUBLE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_pred_l' 'hl/thm/Multivariate/transcendentals/RPOW_INV_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_iff' 'hl/thm/Multivariate/complexes/CX_INJ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_1_l' 'hl/thm/Library/prime/DIVIDES_1_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_lt_mono_pos_l'#@#variant 'hl/thm/real/REAL_LE_LMUL_EQ_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_l' 'hl/thm/arith/MOD_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_ngt' 'hl/thm/int/INT_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_refl' 'hl/thm/realax/TREAL_LE_REFL_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_opp_norm' 'hl/thm/Library/floor/RATIONAL_ABS_'
0. 'coq/Coq_ZArith_Znumtheory_not_prime_0' 'hl/thm/Library/integer/INT_PRIME_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_le' 'hl/thm/int/INT_BOUNDS_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_opp' 'hl/thm/real/REAL_ABS_SGN_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_nle' 'hl/thm/arith/NOT_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_2' 'hl/thm/Library/transc/SQRT_0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_opp_l' 'hl/thm/Multivariate/transcendentals/RPOW_INV_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_square_nonneg'#@#variant 'hl/thm/realarith/REAL_LE_SQUARE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_glb' 'hl/thm/Library/prime/DIVIDES_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_1_l'#@#variant 'hl/thm/realax/NADD_LE_0_'#@#variant
0. 'coq/Coq_Reals_RIneq_Ropp_0_ge_le_contravar'#@#variant 'hl/thm/Library/transc/LN_POS_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_le_compat_l' 'hl/thm/Library/prime/DIVIDES_MUL_L_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_opp' 'hl/thm/Multivariate/transcendentals/CX_COS_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_refl' 'hl/thm/Library/prime/DIVIDES_REFL_'
0. 'coq/Coq_Reals_Rtrigo1_PI2_Rlt_PI'#@#variant 'hl/thm/Library/transc/PI2_BOUNDS_1'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_gt_cases' 'hl/thm/arith/LET_CASES_'
0. 'coq/Coq_ZArith_Znat_N_nat_Z' 'hl/thm/int/int_of_num_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_sub_le_add_r' 'hl/thm/int/INT_LT_SUB_RADD_'
0. 'coq/Coq_Reals_Rbasic_fun_Rle_min_compat_l' 'hl/thm/realax/NADD_MUL_WELLDEF_LEMMA_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_log2' 'hl/thm/Multivariate/complexes/IM_CNJ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pred_div2_up' 'hl/thm/Multivariate/transcendentals/CX_SIN_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_le_mono_l' 'hl/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_sub_lt_add_r' 'hl/thm/Library/analysis/SUB_LEFT_GREATER_EQ_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_is_nonneg'#@#variant 'hl/thm/Multivariate/transcendentals/ARG_/0'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_even_2'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_lub_l' 'hl/thm/Library/prime/DIVIDES_RMUL2_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_abs' 'hl/thm/Complex/complexnumbers/CX_NEG_'
0. 'coq/Coq_ZArith_BinInt_Z_divide_Zpos' 'hl/thm/int/num_divides_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_sub_l' 'hl/thm/int/INT_MIN_MIN_/0'
0. 'coq/Coq_ZArith_BinInt_Z_square_spec' 'hl/thm/Library/analysis/REAL_DOUBLE_'#@#variant
0. 'coq/Coq_Init_Peano_plus_Sn_m' 'hl/thm/int/INT_MUL_LNEG_'
0. 'coq/Coq_Reals_Ratan_atan_bound/1'#@#variant 'hl/thm/Multivariate/transcendentals/COS_BOUNDS_/1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_divide_add_cancel_l' 'hl/thm/Library/integer/INT_DIVIDES_ADD_REVL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_opp' 'hl/thm/int/INT_ABS_SGN_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_glb_iff' 'hl/thm/int/INT_LE_MIN_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_sub_r' 'hl/thm/Library/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_0_l' 'hl/thm/int/INT_ADD_LID_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_0' 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_of_Z' 'hl/thm/int/int_abstr_'
0. 'coq/Coq_NArith_BinNat_N_lor_0_l' 'hl/thm/arith/ADD_CLAUSES_0'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_1_l'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_nlt_ge' 'hl/thm/realarith/REAL_NOT_LT_'
0. 'coq/Coq_NArith_BinNat_N_min_glb_iff' 'hl/thm/real/REAL_LT_MIN_'
0. 'coq/Coq_Arith_PeanoNat_Nat_even_0' 'hl/thm/nums/ZERO_DEF_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_eq_iff'#@#variant 'hl/thm/real/REAL_ABS_REFL_'#@#variant
0. 'coq/Coq_Bool_Bool_xorb_true_l' 'hl/thm/int/INT_NEG_MINUS1_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_shiftl_1_l'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_LZERO_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_mod' 'hl/thm/arith/MOD_MULT_MOD2_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_refl' 'hl/thm/int/INT_LE_REFL_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_oppc' 'hl/thm/Complex/complex_transc/CX_CCOS_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_refl' 'hl/thm/int/INT_LE_REFL_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_le_compat_l' 'hl/thm/real/REAL_LT_LADD_IMP_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_log2_phi_bounded'#@#variant 'hl/thm/Library/multiplicative/REAL_ABS_MOBIUS_'#@#variant
0. 'coq/Coq_Bool_Bool_xorb_true_l' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_LZERO_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_gt_lt_iff' 'hl/thm/arith/GT_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_red' 'hl/thm/Complex/complexnumbers/CX_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_le_incl' 'hl/thm/realax/NADD_EQ_IMP_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_1_l'#@#variant 'hl/thm/arith/ADD_CLAUSES_0'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_1_l'#@#variant 'hl/thm/realax/HREAL_ADD_LID_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_pred_le' 'hl/thm/Library/analysis/OR_LESS_'
0. 'coq/Coq_ZArith_Zpow_facts_Zpower_pos_pos'#@#variant 'hl/thm/int/INT_POW_LE_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_max_0_l' 'hl/thm/realax/REAL_MUL_LID_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_log2_null'#@#variant 'hl/thm/int/INT_SGN_EQ_2'#@#variant
0. 'coq/Coq_QArith_QOrderedType_QOrder_not_gt_le' 'hl/thm/int/INT_LTE_TOTAL_'
0. 'coq/Coq_Bool_Bool_negb_xorb_l' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_l' 'hl/thm/Library/integer/INT_DIVIDES_MUL_L_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_setbit_spec_prime'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_RNEG_'
0. 'coq/Coq_Reals_Rfunctions_pow_lt'#@#variant 'hl/thm/real/REAL_POW_LE_1_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Zmult_0_r_reverse' 'hl/thm/realax/HREAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_QArith_QOrderedType_QOrder_le_refl' 'hl/thm/Multivariate/misc/GE_REFL_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_sqrt' 'hl/thm/Complex/complex_transc/CX_CEXP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_nonneg_r'#@#variant 'hl/thm/real/REAL_LT_RMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_sub_r' 'hl/thm/Library/prime/DIVIDES_ADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_sub_le_add_r' 'hl/thm/int/INT_LT_ADD_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_odd_2'#@#variant 'hl/thm/Multivariate/complexes/RE_II_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lor_eq_0_iff' 'hl/thm/arith/MULT_EQ_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_opp_l' 'hl/thm/Library/integer/INT_DIVIDES_LABS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_le_mono' 'hl/thm/arith/FACT_MONO_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_opp_r' 'hl/thm/int/INT_SUB_RNEG_'
0. 'coq/Coq_ZArith_BinInt_Z_div2_neg' 'hl/thm/real/REAL_SGN_INEQS_5'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_1'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_0_l' 'hl/thm/arith/DIV_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_null'#@#variant 'hl/thm/real/REAL_SGN_EQ_2'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_pred_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lcm_eq_0' 'hl/thm/real/REAL_DIV_EQ_0_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_sin_neg' 'hl/thm/Library/transc/SIN_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_pred_l' 'hl/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div_lt_upper_bound' 'hl/thm/arith/LE_LDIV_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_neg_iff' 'hl/thm/Multivariate/vectors/DROP_EQ_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Zlt_Qlt' 'hl/thm/int/INT_OF_NUM_LT_'
0. 'coq/Coq_Reals_Rbasic_fun_Rmin_glb' 'hl/thm/Library/prime/DIVIDES_SUB_'
0. 'coq/Coq_NArith_BinNat_N_pred_succ' 'hl/thm/Library/transc/LN_EXP_'
0. 'coq/Coq_NArith_BinNat_N_le_alt_dichotomy' 'hl/thm/arith/LE_CASES_'
0. 'coq/Coq_NArith_Ndigits_Ndiv2_double' 'hl/thm/Multivariate/transcendentals/EXP_LOG_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lor_nonneg'#@#variant 'hl/thm/arith/LT_MULT_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_add_le_sub_r' 'hl/thm/int/INT_LE_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_opp_r' 'hl/thm/real/REAL_NEG_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_lt_mono_r'#@#variant 'hl/thm/real/REAL_LT_LMUL_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_le_mono_l' 'hl/thm/int/INT_LE_LADD_'
0. 'coq/Coq_Reals_RIneq_Rplus_lt_compat_r' 'hl/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_ZArith_Zquot_Zquot_0_r' 'hl/thm/arith/MULT_0_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_nlt' 'hl/thm/arith/NOT_LE_'
0. 'coq/Coq_Reals_R_Ifp_Int_part_INR' 'hl/thm/int/int_of_num_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_opp' 'hl/thm/Multivariate/transcendentals/ATN_ABS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_shuffle3' 'hl/thm/int/INT_MAX_ACI_2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_pos'#@#variant 'hl/thm/Multivariate/vectors/SQRT_LE_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_lt_mono_r' 'hl/thm/arith/LE_ADD_RCANCEL_'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_div2' 'hl/thm/Multivariate/complexes/CX_INV_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_mod' 'hl/thm/arith/MOD_ADD_MOD_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_even_0' 'hl/thm/nums/ZERO_DEF_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_inj_wd' 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_NEG2_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_opp' 'hl/thm/int/int_sgn_th_'
0. 'coq/Coq_Lists_Streams_Str_nth_tl_plus' 'hl/thm/Multivariate/vectors/VECTOR_MUL_ASSOC_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftl_1_l'#@#variant 'hl/thm/realarith/REAL_POLY_NEG_CLAUSES_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pos_pred_succ' 'hl/thm/Complex/complexnumbers/complex_tybij_raw_0'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lxor_nilpotent' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_REFL_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rle_max_compat_l' 'hl/thm/real/REAL_LT_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_lt_iff' 'hl/thm/real/REAL_LT_MAX_'
0. 'coq/Coq_Arith_Max_max_lub_l' 'hl/thm/Library/integer/INT_DIVIDES_RMUL2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_inj_wd' 'hl/thm/nums/SUC_INJ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_nonneg_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LT_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_inj_wd' 'hl/thm/Multivariate/transcendentals/REAL_EXP_INJ_'
0. 'coq/Coq_ZArith_Zeven_Zquot2_opp' 'hl/thm/real/REAL_ABS_SGN_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_nlt_ge' 'hl/thm/Library/analysis/real_le_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_le_iff' 'hl/thm/real/REAL_LE_MAX_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_pow2'#@#variant 'hl/thm/Library/transc/EXP_LN_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_pred_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_cancel_l' 'hl/thm/int/INT_EQ_ADD_LCANCEL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lcm_0_r' 'hl/thm/Library/pocklington/ORDER_1_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_1_l' 'hl/thm/realax/HREAL_ADD_LID_'#@#variant
0. 'coq/Coq_Numbers_Cyclic_DoubleCyclic_DoubleBase_lt_0_wB'#@#variant 'hl/thm/real/REAL_LE_POW2_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rmult_le_compat_r'#@#variant 'hl/thm/int/INT_LE_RMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_inj_wd' 'hl/thm/calc_num/ARITH_48'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_lt_trans' 'hl/thm/int/INT_LET_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_ldiff_diag' 'hl/thm/int/INT_SUB_REFL_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_lcm_r' 'hl/thm/arith/LE_ADDR_'
0. 'coq/Coq_ZArith_Zorder_Zgt_irrefl' 'hl/thm/arith/LT_REFL_'
0. 'coq/Coq_Reals_RIneq_Ropp_inv_permute' 'hl/thm/Library/analysis/REAL_NEG_INV_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_pos' 'hl/thm/int/INT_SGN_INEQS_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lcm_0_r' 'hl/thm/Library/prime/INDEX_0_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rle_max_compat_r' 'hl/thm/Library/prime/DIVIDES_EXP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_lt_mono_r_iff'#@#variant 'hl/thm/Library/analysis/REAL_LE_LMUL_LOCAL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_le_mono_r' 'hl/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_inj_wd' 'hl/thm/calc_num/ARITH_57'
0. 'coq/Coq_NArith_BinNat_N_mod_le' 'hl/thm/arith/MOD_LE_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_div_mul' 'hl/thm/Complex/complexnumbers/COMPLEX_DIV_RMUL_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rmult_eq_reg_l' 'hl/thm/Library/prime/MULT_LCANCEL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_neg_iff' 'hl/thm/realax/REAL_OF_NUM_EQ_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_pos'#@#variant 'hl/thm/Library/pratt/PHI_LOWERBOUND_2_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sgn_nonneg'#@#variant 'hl/thm/Library/floor/INTEGER_NEG_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_eq_cases' 'hl/thm/realarith/REAL_LE_LT_'
0. 'coq/Coq_ZArith_BinInt_Z_odd_1'#@#variant 'hl/thm/Multivariate/complexes/RE_II_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_opp_nonneg_nonpos'#@#variant 'hl/thm/int/INT_NEG_GE0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_odd_1'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_refl' 'hl/thm/Multivariate/misc/GE_REFL_'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_pred' 'hl/thm/Complex/complexnumbers/CX_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_mod_idemp_l' 'hl/thm/arith/MOD_MULT_LMOD_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lxor_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant
0. 'coq/Coq_QArith_QOrderedType_QOrder_le_refl' 'hl/thm/realax/NADD_LE_REFL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pos_pred_succ' 'hl/thm/int/int_abstr_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_le_compat_l' 'hl/thm/realax/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_nonneg'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_POS_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_null_iff' 'hl/thm/Library/pocklington/PHI_EQ_0_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_log2_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_total' 'hl/thm/int/INT_LT_TOTAL_'
0. 'coq/Coq_ZArith_Zquot_Zquot_opp_r' 'hl/thm/int/INT_MUL_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_0_r' 'hl/thm/int/INT_MUL_RZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_le_lin'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_LE_X_'#@#variant
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_succ' 'hl/thm/Multivariate/transcendentals/CX_EXP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_neq' 'hl/thm/realarith/REAL_LT_LE_'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_pos'#@#variant 'hl/thm/Library/pratt/PHI_LOWERBOUND_1_'#@#variant
0. 'coq/Coq_ZArith_Zlogarithm_log_inf_correct1'#@#variant 'hl/thm/real/REAL_LE_POW2_'#@#variant
0. 'coq/Coq_QArith_Qpower_Qpower_pos_positive'#@#variant 'hl/thm/real/REAL_POW_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_le_compat_r' 'hl/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_even_2'#@#variant 'hl/thm/Multivariate/complexes/IM_II_'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qcle_refl' 'hl/thm/realax/TREAL_LE_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_pred_succ' 'hl/thm/Library/transc/ATN_/2'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_divide/0' 'hl/thm/real/REAL_MIN_MIN_/0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_ones_equiv'#@#variant 'hl/thm/calc_num/ARITH_4'
0. 'coq/Coq_ZArith_BinInt_Z_min_le_compat_l' 'hl/thm/int/INT_LE_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_pos'#@#variant 'hl/thm/Library/floor/INTEGER_NEG_'
0. 'coq/Coq_Reals_R_sqrt_sqrt_positivity'#@#variant 'hl/thm/nums/NUM_REP_RULES_1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_1_r'#@#variant 'hl/thm/int/INT_MUL_RZERO_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_l' 'hl/thm/real/REAL_LT_LADD_IMP_'
0. 'coq/Coq_Reals_Rtrigo_calc_sqrt2_neq_0'#@#variant 'hl/thm/Library/analysis/REAL_10_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_antisymm' 'hl/thm/Library/analysis/LESS_EQUAL_ANTISYM_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_0_mul_prime'#@#variant 'hl/thm/arith/LT_MULT_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_neq_0_succ' 'hl/thm/nums/IND_SUC_0_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_mod_idemp_l' 'hl/thm/arith/MOD_EXP_MOD_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_succ' 'hl/thm/Multivariate/transcendentals/CX_EXP_'#@#variant
0. 'coq/Coq_QArith_QOrderedType_QOrder_le_refl' 'hl/thm/realax/TREAL_EQ_REFL_'#@#variant
0. 'coq/Coq_Arith_Factorial_fact_neq_0' 'hl/thm/Library/transc/REAL_EXP_NZ_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lxor_0_l' 'hl/thm/realax/HREAL_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lxor_lnot_lnot' 'hl/thm/arith/SUB_ADD_RCANCEL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_le_mono' 'hl/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mod_opp_opp' 'hl/thm/Library/analysis/ABS_DIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_lt_mono_l' 'hl/thm/int/INT_LT_LADD_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_pos'#@#variant 'hl/thm/int/INT_SGN_INEQS_0'#@#variant
0. 'coq/Coq_Reals_Ratan_atan_bound/1'#@#variant 'hl/thm/Multivariate/transcendentals/SIN_BOUNDS_/1'#@#variant
0. 'coq/Coq_Reals_Rpower_Rpower_sqrt'#@#variant 'hl/thm/Library/pratt/PHI_PRIME_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pred_div2_up' 'hl/thm/int/int_abs_th_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_le_mono_l' 'hl/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_eq_0' 'hl/thm/arith/ADD_EQ_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_mul_below' 'hl/thm/int/INT_SUB_ABS_'
0. 'coq/Coq_PArith_BinPos_Pos_add_lt_mono_l' 'hl/thm/realax/HREAL_LE_ADD_LCANCEL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_1_l'#@#variant 'hl/thm/Library/prime/DIVIDES_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pos_pred_succ' 'hl/thm/int/NUM_OF_INT_OF_NUM_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_le_mono' 'hl/thm/Library/transc/ATN_MONO_LT_'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_lt_mono_r_iff'#@#variant 'hl/thm/Library/analysis/REAL_LE_LMUL_LOCAL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Zpred_succ' 'hl/thm/Multivariate/transcendentals/ATN_TAN_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div2_double' 'hl/thm/Library/transc/LN_EXP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_diag' 'hl/thm/arith/SUB_REFL_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_pos_l'#@#variant 'hl/thm/real/REAL_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_succ_r' 'hl/thm/int/INT_MUL_RNEG_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_inv_normc' 'hl/thm/Complex/complex_transc/CX_CCOS_'
0. 'coq/Coq_Reals_RIneq_Rle_or_lt' 'hl/thm/arith/LET_CASES_'
0. 'coq/Coq_ZArith_Znumtheory_rel_prime_div' 'hl/thm/arith/LET_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_refl' 'hl/thm/Complex/cpoly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_lor' 'hl/thm/Library/transc/REAL_EXP_SUB_'
0. 'coq/Coq_ZArith_Zorder_Zlt_0_le_0_pred'#@#variant 'hl/thm/Library/pocklington/PHI_LOWERBOUND_2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_irrefl' 'hl/thm/arith/LT_REFL_'
0. 'coq/Coq_Bool_Bool_orb_true_r' 'hl/thm/Library/pocklington/ORDER_1_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_lt' 'hl/thm/real/REAL_OF_NUM_GE_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_le_mono' 'hl/thm/arith/FACT_MONO_'
0. 'coq/Coq_QArith_Qcanon_canon' 'hl/thm/Library/floor/FLOOR_NUM_'
0. 'coq/Coq_ZArith_Zorder_Zsucc_gt_compat' 'hl/thm/Library/transc/ATN_MONO_LT_'
0. 'coq/Coq_Reals_Rtrigo1_tan_neg' 'hl/thm/Complex/complexnumbers/CNJ_INV_'
0. 'coq/Coq_ZArith_BinInt_Z_lcm_diag' 'hl/thm/arith/BIT0_'
0. 'coq/Coq_Strings_Ascii_ascii_N_embedding' 'hl/thm/Complex/complexnumbers/complex_tybij_1'#@#variant
0. 'coq/Coq_Reals_RIneq_Ropp_involutive' 'hl/thm/Complex/complexnumbers/COMPLEX_INV_INV_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_opp_r' 'hl/thm/Complex/complexnumbers/complex_div_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_pred_double_spec' 'hl/thm/calc_num/ARITH_4'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_lt_mono_r_iff'#@#variant 'hl/thm/Library/analysis/REAL_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_pos' 'hl/thm/real/REAL_SGN_INEQS_3'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_opp_norm' 'hl/thm/Library/floor/RATIONAL_INV_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_pos' 'hl/thm/real/REAL_SGN_INEQS_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_succ_l' 'hl/thm/int/INT_MUL_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_0_l' 'hl/thm/realax/REAL_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_odd_2'#@#variant 'hl/thm/nums/ZERO_DEF_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_le_mono_l' 'hl/thm/realax/NADD_LE_LADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_lt_iff' 'hl/thm/int/INT_LE_MAX_'
0. 'coq/Coq_Reals_RIneq_Rplus_gt_compat_r' 'hl/thm/arith/EXP_MONO_LE_IMP_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_diag' 'hl/thm/arith/MULT_2_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_nonneg_l'#@#variant 'hl/thm/Library/analysis/REAL_LT_LMUL_IMP_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_log2_le_mono' 'hl/thm/Library/transc/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tred_factor4_stable' 'hl/thm/Library/multiplicative/MULTIPLICATIVE_SIGMA_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_pos' 'hl/thm/real/REAL_SGN_INEQS_3'#@#variant
0. 'coq/Coq_QArith_QOrderedType_QOrder_eq_refl' 'hl/thm/Multivariate/misc/GE_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_total' 'hl/thm/arith/LT_CASES_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lxor_0_l' 'hl/thm/int/INT_ADD_LID_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_lcm_r' 'hl/thm/real/REAL_MAX_MAX_/1'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_1_l' 'hl/thm/realax/REAL_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_nle_gt' 'hl/thm/realarith/REAL_NOT_LT_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_factor_l' 'hl/thm/realax/HREAL_LE_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_le_mono_r' 'hl/thm/arith/LT_LMULT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_add_lt_sub_r' 'hl/thm/real/REAL_LE_SUB_RADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_le_mono_r' 'hl/thm/int/INT_LE_RADD_'
0. 'coq/Coq_Arith_Gt_plus_gt_compat_l' 'hl/thm/realax/NADD_MUL_WELLDEF_LEMMA_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_le_mono_r' 'hl/thm/int/INT_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div2_spec'#@#variant 'hl/thm/arith/ADD1_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_pos'#@#variant 'hl/thm/real/REAL_SGN_INEQS_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_setbit_spec_prime'#@#variant 'hl/thm/Multivariate/complexes/complex_div_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_irrefl' 'hl/thm/arith/LT_REFL_'
0. 'coq/Coq_NArith_BinNat_N_min_le_iff' 'hl/thm/real/REAL_MIN_LE_'
0. 'coq/Coq_PArith_BinPos_Pos_mul_le_mono_r' 'hl/thm/realax/NADD_LE_RADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_lor' 'hl/thm/Library/transc/REAL_EXP_SUB_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_land_m1_l'#@#variant 'hl/thm/realax/REAL_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_1_l'#@#variant 'hl/thm/realax/REAL_MUL_LID_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_odd_2'#@#variant 'hl/thm/Multivariate/complexes/IM_II_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pred_le_mono' 'hl/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lcm_diag' 'hl/thm/real/REAL_MAX_ACI_3'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_2' 'hl/thm/realax/REAL_INV_0_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_1_l'#@#variant 'hl/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_even_1'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_lt_mono_pos_r'#@#variant 'hl/thm/real/REAL_LE_RMUL_EQ_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_glb' 'hl/thm/Library/integer/INT_DIVIDES_SUB_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_pos'#@#variant 'hl/thm/real/REAL_SGN_INEQS_1'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_opp' 'hl/thm/Complex/complex_transc/CX_CSIN_'
0. 'coq/Coq_NArith_BinNat_N_lcm_diag' 'hl/thm/real/REAL_MAX_ACI_3'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_succ' 'hl/thm/calc_num/ARITH_5'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_cancel_l' 'hl/thm/calc_int/REAL_EQ_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_sub_l' 'hl/thm/Library/analysis/SUB_LESS_EQ_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_add_lt_sub_r' 'hl/thm/Library/analysis/SUB_LEFT_GREATER_EQ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_1_l' 'hl/thm/Complex/complexnumbers/COMPLEX_POLY_NEG_CLAUSES_0'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_eq_le_incl' 'hl/thm/arith/EQ_IMP_LE_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_pos_cancel_l'#@#variant 'hl/thm/Library/floor/INTEGER_SUB_EQ_0'
0. 'coq/Coq_QArith_QOrderedType_QOrder_le_lt_trans' 'hl/thm/arith/LET_TRANS_'
0. 'coq/Coq_Reals_Rfunctions_RPow_abs' 'hl/thm/Library/analysis/POW_ABS_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_xO'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_INV_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_power_norm' 'hl/thm/Library/floor/RATIONAL_CLOSED_6'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_le_mono_r' 'hl/thm/arith/LE_ADD_RCANCEL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_mod_idemp_r' 'hl/thm/arith/MOD_MULT_RMOD_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_0_r' 'hl/thm/Library/pocklington/ORDER_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_le_incl' 'hl/thm/realarith/REAL_LT_IMP_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sub_le_mono_r' 'hl/thm/realax/HREAL_LE_MUL_RCANCEL_IMP_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_le_compat_r' 'hl/thm/Library/prime/DIVIDES_EXP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_le_compat_l' 'hl/thm/realax/NADD_MUL_WELLDEF_LEMMA_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_le' 'hl/thm/real/REAL_OF_NUM_GE_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_succ_le' 'hl/thm/Library/floor/FLOOR_DOUBLE_/0'#@#variant
0. 'coq/Coq_Bool_Bool_andb_true_l' 'hl/thm/int/INT_ADD_LID_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_even_1'#@#variant 'hl/thm/Multivariate/complexes/RE_II_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_nlt_ge' 'hl/thm/arith/NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_pow2'#@#variant 'hl/thm/Library/transc/EXP_LN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_sub_diag' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_REFL_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_SIN_bound/1' 'hl/thm/Multivariate/transcendentals/COS_BOUNDS_/1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_le_mono' 'hl/thm/Multivariate/transcendentals/ATN_MONO_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_eq_0_gt_0_cases'#@#variant 'hl/thm/arith/LE_1_1'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_le_lin'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_LT_X_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_0_r' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_le_mono_l' 'hl/thm/int/INT_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_min_l' 'hl/thm/int/INT_MIN_MIN_/0'
0. 'coq/Coq_Reals_Ratan_ps_atan_opp' 'hl/thm/Multivariate/transcendentals/CNJ_CTAN_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_invc' 'hl/thm/Multivariate/complexes/CX_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_opp_diag_r' 'hl/thm/int/INT_ADD_RINV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_sub' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_ADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_1_r'#@#variant 'hl/thm/arith/ADD1_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_pos'#@#variant 'hl/thm/Library/pratt/PHI_LOWERBOUND_2_'#@#variant
0. 'coq/Coq_ZArith_Znat_Zabs2N_inj_succ'#@#variant 'hl/thm/Multivariate/complexes/CX_SQRT_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_pos_cancel_l'#@#variant 'hl/thm/Library/floor/INTEGER_ADD_EQ_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_lt_lin'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_LT_X_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_1_l'#@#variant 'hl/thm/realax/REAL_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_lor' 'hl/thm/Multivariate/transcendentals/REAL_EXP_ADD_'
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_le_lin'#@#variant 'hl/thm/Library/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_le_compat_r' 'hl/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Reals_Ratan_Ratan_seq_opp' 'hl/thm/Complex/complexnumbers/COMPLEX_POW_INV_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_le_mono' 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_diag' 'hl/thm/real/REAL_MIN_ACI_3'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_xO'#@#variant 'hl/thm/Multivariate/transcendentals/CX_SIN_'#@#variant
0. 'coq/Coq_Reals_RIneq_pos_INR'#@#variant 'hl/thm/real/REAL_LE_POW2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_eq_le_incl' 'hl/thm/realax/TREAL_EQ_AP_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_reg_l' 'hl/thm/realax/HREAL_ADD_LCANCEL_'
0. 'coq/Coq_Arith_Even_odd_plus_l' 'hl/thm/Multivariate/transcendentals/RPOW_LE_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_opp' 'hl/thm/real/REAL_SGN_INV_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_pos_nonneg'#@#variant 'hl/thm/realarith/REAL_LTE_ADD_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_1_l' 'hl/thm/arith/LE_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_even_sub' 'hl/thm/real/REAL_OF_NUM_SUB_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_null'#@#variant 'hl/thm/real/REAL_SGN_EQ_2'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_nlt_ge' 'hl/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_inj_wd' 'hl/thm/int/INT_EQ_NEG2_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_le_lin' 'hl/thm/Library/pocklington/PHI_LIMIT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_rem_opp_l_prime' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_le_compat_r' 'hl/thm/Library/prime/LESS_MONO_ADD_'
0. 'coq/Coq_NArith_BinNat_N_land_0_r' 'hl/thm/realax/HREAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_min_0_r' 'hl/thm/Library/pocklington/ORDER_1_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_le_compat_l' 'hl/thm/realax/TREAL_LE_LADD_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_glb' 'hl/thm/Library/prime/DIVIDES_SUB_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_double'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_INV_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lxor_eq_0_iff' 'hl/thm/int/INT_SUB_0_'#@#variant
0. 'coq/Coq_QArith_Qminmax_Q_max_lub_lt_iff' 'hl/thm/int/INT_MAX_LE_'
0. 'coq/Coq_Reals_Rpower_arcsinh_lt' 'hl/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_odd_1'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pred_succ' 'hl/thm/Multivariate/transcendentals/CCOS_CACS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_opp' 'hl/thm/Multivariate/complexes/CNJ_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_odd_2'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant
0. 'coq/Coq_Arith_Gt_gt_Sn_n' 'hl/thm/Library/floor/FLOOR_/1'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_add_cancel_r' 'hl/thm/Complex/cpoly/POLY_DIVIDES_SUB_'#@#variant
0. 'coq/Coq_Reals_Exp_prop_div2_not_R0'#@#variant 'hl/thm/Library/pocklington/PHI_LOWERBOUND_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_lt_mono_r_iff'#@#variant 'hl/thm/Library/analysis/REAL_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_Reals_Rtrigo_def_sin_antisym' 'hl/thm/Multivariate/transcendentals/CNJ_CCOS_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_eq_add_0' 'hl/thm/arith/MULT_EQ_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_lub_iff' 'hl/thm/real/REAL_MAX_LT_'
0. 'coq/Coq_Reals_RIneq_Ropp_0_ge_le_contravar'#@#variant 'hl/thm/Library/transc/REAL_EXP_LT_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_lt_iff' 'hl/thm/real/REAL_MIN_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_cancel_l' 'hl/thm/int/INT_EQ_ADD_LCANCEL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_lt_trans' 'hl/thm/realarith/REAL_LET_TRANS_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_lt_mono' 'hl/thm/int/INT_LE_NEG2_'
0. 'coq/Coq_NArith_BinNat_N_pred_succ' 'hl/thm/Multivariate/transcendentals/ATN_TAN_'
0. 'coq/Coq_NArith_BinNat_N_log2_le_mono' 'hl/thm/arith/FACT_MONO_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_gcd_0_l' 'hl/thm/realax/NADD_ADD_LID_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_land_diag' 'hl/thm/int/INT_MAX_ACI_3'
0. 'coq/Coq_ZArith_Zlogarithm_log_inf_correct1'#@#variant 'hl/thm/realarith/REAL_POS_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sub_succ_r' 'hl/thm/arith/SUB_1'
0. 'coq/Coq_Arith_PeanoNat_Nat_even_1'#@#variant 'hl/thm/Multivariate/complexes/IM_II_'#@#variant
0. 'coq/Coq_Reals_R_sqrt_sqrt_positivity'#@#variant 'hl/thm/Multivariate/vectors/SQRT_POS_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_le_lin'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_pred_l' 'hl/thm/Library/pratt/PHI_LIMIT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_lt_mono_pos_r'#@#variant 'hl/thm/real/REAL_LE_DIV2_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ldiff_m1_r'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lcm_0_r' 'hl/thm/realax/HREAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_lt_iff' 'hl/thm/int/INT_LT_MAX_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div_pos'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_LE_1_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_eq_mul_0' 'hl/thm/realarith/REAL_ENTIRE_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_lt_mono_l' 'hl/thm/arith/LE_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lcm_eq_0' 'hl/thm/int/INT_ENTIRE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_succ_l' 'hl/thm/Multivariate/transcendentals/REAL_ABS_RPOW_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_divide_mono_l' 'hl/thm/realax/REAL_LE_LADD_IMP_'
0. 'coq/Coq_ZArith_BinInt_Z_sgn_pos_iff'#@#variant 'hl/thm/Library/floor/REAL_FRAC_EQ_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_involutive' 'hl/thm/real/REAL_INV_INV_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_id' 'hl/thm/int/INT_MAX_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_lteq' 'hl/thm/int/INT_LE_LT_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_succ_r' 'hl/thm/calc_int/REAL_MUL_RNEG_'
0. 'coq/Coq_NArith_BinNat_N_le_add_r' 'hl/thm/arith/LE_ADD_'
0. 'coq/Coq_NArith_Ndist_ni_le_refl' 'hl/thm/Complex/cpoly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lt_ge_cases' 'hl/thm/arith/LTE_CASES_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_add_le' 'hl/thm/int/INT_ABS_TRIANGLE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_divide_iff' 'hl/thm/int/INT_LT_MIN_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_sub_lt_add_r' 'hl/thm/real/REAL_LE_SUB_RADD_'
0. 'coq/Coq_Reals_SeqProp_cv_cvabs' 'hl/thm/Library/analysis/SEQ_ABS_IMP_'
0. 'coq/Coq_NArith_Ndist_ni_min_inf_l' 'hl/thm/int/INT_ADD_LID_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rplus_gt_compat_l' 'hl/thm/Library/prime/DIVIDES_MUL_L_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_0_iff' 'hl/thm/real/REAL_INV_EQ_1_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_lt_mono_pos_r'#@#variant 'hl/thm/int/INT_LT_RMUL_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_succ_l' 'hl/thm/Multivariate/transcendentals/RPOW_INV_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_pos_cancel_l'#@#variant 'hl/thm/Library/floor/INTEGER_ADD_EQ_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_shuffle3' 'hl/thm/int/INT_MAX_ACI_2'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_ge_le_iff' 'hl/thm/realax/real_gt_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_lcm_l' 'hl/thm/real/REAL_MAX_MAX_/0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LE_'
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_l' 'hl/thm/int/INT_LE_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_0_discr' 'hl/thm/arith/FACT_NZ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_nle' 'hl/thm/int/INT_NOT_LE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_glb' 'hl/thm/Library/prime/DIVIDES_SUB_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_double_size' 'hl/thm/Multivariate/complexes/RE_CNJ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_pred_le' 'hl/thm/Library/analysis/OR_LESS_'
0. 'coq/Coq_NArith_BinNat_N_le_max_r' 'hl/thm/arith/LE_ADDR_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_inj_l' 'hl/thm/real/REAL_EQ_RCANCEL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lxor_0_l' 'hl/thm/realax/HREAL_ADD_LID_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_lt_mono_l' 'hl/thm/int/INT_LT_LADD_'
0. 'coq/Coq_Reals_Rpower_arcsinh_le' 'hl/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sub_le_mono_r' 'hl/thm/Library/integer/INT_DIVIDES_MUL_R_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_nle' 'hl/thm/int/INT_LT_'
0. 'coq/Coq_NArith_BinNat_N_eq_le_incl' 'hl/thm/realax/TREAL_EQ_AP_'#@#variant
0. 'coq/Coq_Arith_Min_le_min_r' 'hl/thm/real/REAL_MIN_MIN_/1'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_2' 'hl/thm/realax/REAL_INV_0_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_comm' 'hl/thm/realax/TREAL_ADD_SYM_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_cancel_l' 'hl/thm/int/INT_EQ_ADD_LCANCEL_'
0. 'coq/Coq_ZArith_BinInt_Z_mod_same' 'hl/thm/arith/MOD_REFL_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_pos' 'hl/thm/Multivariate/transcendentals/ATN_BOUNDS_/0'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_le_incl' 'hl/thm/realarith/REAL_LT_IMP_LE_'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_pos'#@#variant 'hl/thm/Multivariate/vectors/SQRT_LE_0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_1_mul_pos'#@#variant 'hl/thm/realarith/REAL_LTE_ADD_'#@#variant
0. 'coq/Coq_ZArith_Zlogarithm_log_inf_correct1'#@#variant 'hl/thm/Library/floor/INTEGER_CLOSED_0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_add_le_sub_r' 'hl/thm/real/REAL_LT_SUB_RADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_le_lin'#@#variant 'hl/thm/Library/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_MMaps_MMapPositive_PositiveMap_ME_eqk_equiv'#@#variant 'hl/thm/Multivariate/topology/MCOMPLETE_EUCLIDEAN_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_inv_normc' 'hl/thm/Multivariate/transcendentals/CX_TAN_'#@#variant
0. 'coq/Coq_QArith_Qreals_Q2R_opp' 'hl/thm/Complex/complex_transc/CX_CSIN_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_nonneg' 'hl/thm/Multivariate/transcendentals/ATN_BOUNDS_/0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_min_r' 'hl/thm/int/INT_MIN_MIN_/1'
0. 'coq/Coq_ZArith_BinInt_Z_min_le_iff' 'hl/thm/real/REAL_MIN_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_eq_le_incl' 'hl/thm/arith/EQ_IMP_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_lt_mono_r'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_inj_wd' 'hl/thm/calc_num/ARITH_48'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_irrefl' 'hl/thm/realarith/REAL_LT_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_even_2'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_0_r' 'hl/thm/calc_int/REAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_null_iff' 'hl/thm/real/REAL_NEG_EQ_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_0_discr' 'hl/thm/Multivariate/transcendentals/REAL_EXP_NZ_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_rem_opp_l_prime' 'hl/thm/calc_int/REAL_MUL_LNEG_'
0. 'coq/Coq_Arith_Max_max_0_l' 'hl/thm/arith/ADD_CLAUSES_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_lub_r' 'hl/thm/Library/prime/DIVIDES_LMUL2_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_le_compat_r' 'hl/thm/Library/prime/DIVIDES_MUL_R_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_inj_wd' 'hl/thm/calc_num/ARITH_57'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_sub_eq_r' 'hl/thm/Library/prime/ADD_IMP_SUB_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_null'#@#variant 'hl/thm/int/INT_SGN_EQ_1'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_gt_cases' 'hl/thm/int/INT_LET_TOTAL_'
0. 'coq/Coq_Reals_R_sqrt_sqrt_positivity'#@#variant 'hl/thm/Library/floor/RATIONAL_INV_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftr_shiftr' 'hl/thm/arith/EXP_MULT_'
0. 'coq/Coq_FSets_FSetPositive_PositiveSet_eq_refl' 'hl/thm/realax/TREAL_LE_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_lt_iff' 'hl/thm/int/INT_LT_MAX_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_gcd_divide_r' 'hl/thm/Library/prime/INDEX_TRIVIAL_BOUND_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_1_l'#@#variant 'hl/thm/int/INT_NEG_MINUS1_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_nonneg_l'#@#variant 'hl/thm/real/REAL_LT_LMUL_'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qcopp_involutive' 'hl/thm/real/REAL_INV_INV_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_factor_l' 'hl/thm/realax/NADD_LE_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_l' 'hl/thm/realax/NADD_MUL_WELLDEF_LEMMA_'
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_1_r' 'hl/thm/arith/MULT_0_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_pos'#@#variant 'hl/thm/Multivariate/vectors/SQRT_LT_0_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_square_spec' 'hl/thm/arith/BIT0_'
0. 'coq/Coq_PArith_BinPos_Pos_min_id' 'hl/thm/int/INT_MAX_ACI_3'
0. 'coq/Coq_NArith_BinNat_N_pow_lt_mono_r'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LE_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pow_le_mono_r_iff'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LT_EQ_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lnot_lxor_l' 'hl/thm/Multivariate/transcendentals/REAL_INV_RPOW_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_le_mono_r'#@#variant 'hl/thm/real/REAL_LT_LMUL_'#@#variant
0. 'coq/Coq_Numbers_Cyclic_DoubleCyclic_DoubleBase_lt_0_wB'#@#variant 'hl/thm/Multivariate/transcendentals/ARG_/0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_0_iff' 'hl/thm/real/REAL_NEG_EQ_0_'#@#variant
0. 'coq/Coq_Reals_Rpower_arcsinh_sinh' 'hl/thm/Library/transc/ATN_TAN_'
0. 'coq/Coq_ZArith_BinInt_Z_max_id' 'hl/thm/int/INT_MIN_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_succ_r' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_shuffle3' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_AC_2'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_pos'#@#variant 'hl/thm/real/REAL_SGN_INEQS_1'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_succ_l' 'hl/thm/calc_int/REAL_MUL_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftl_opp_r' 'hl/thm/realax/real_div_'
0. 'coq/Coq_NArith_BinNat_Nmult_reg_r' 'hl/thm/real/REAL_EQ_RCANCEL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_lt_mono_r' 'hl/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_succ_pred_double' 'hl/thm/calc_num/ARITH_4'
0. 'coq/Coq_Arith_PeanoNat_Nat_min_lt_iff' 'hl/thm/real/REAL_MIN_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_divide_iff' 'hl/thm/int/INT_LT_MIN_'
0. 'coq/Coq_FSets_FSetPositive_PositiveSet_eq_refl' 'hl/thm/realax/NADD_EQ_REFL_'
0. 'coq/Coq_Reals_R_sqr_Rsqr_neg' 'hl/thm/Library/transc/COS_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_antisymm' 'hl/thm/Library/analysis/LESS_EQUAL_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lnot_0_l' 'hl/thm/int/INT_NEG_MINUS1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_nonneg'#@#variant 'hl/thm/calc_num/ARITH_44'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_max_l' 'hl/thm/arith/LE_ADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_succ_inj_wd' 'hl/thm/Multivariate/transcendentals/ATN_INJ_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_le_compat_r' 'hl/thm/arith/EXP_MONO_LE_IMP_'
0. 'coq/Coq_Arith_PeanoNat_Nat_neq_0_succ' 'hl/thm/Library/transc/REAL_EXP_NZ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_max_distr' 'hl/thm/Multivariate/transcendentals/REAL_EXP_ADD_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_le_compat_l' 'hl/thm/int/INT_LE_LADD_IMP_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_inj_wd' 'hl/thm/calc_num/ARITH_57'
0. 'coq/Coq_QArith_Qcanon_Q_apart_0_1'#@#variant 'hl/thm/Library/analysis/REAL_10_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_divide_cancel_r' 'hl/thm/Library/prime/DIVIDES_RMUL2_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_involutive' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_NEG_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_add_assoc' 'hl/thm/realax/NADD_ADD_ASSOC_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_succ_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_0_l' 'hl/thm/arith/MULT_CLAUSES_2'#@#variant
0. 'coq/Coq_NArith_BinNat_N_min_glb_iff' 'hl/thm/real/REAL_LE_MIN_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_comm' 'hl/thm/realax/NADD_MUL_SYM_'
0. 'coq/Coq_NArith_BinNat_N_land_diag' 'hl/thm/real/REAL_MIN_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_succ_l' 'hl/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lcm_1_r' 'hl/thm/arith/SUB_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_cancel_l' 'hl/thm/realax/HREAL_EQ_ADD_LCANCEL_'
0. 'coq/Coq_ZArith_BinInt_Z_shiftl_1_l'#@#variant 'hl/thm/int/INT_NEG_MINUS1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_0_r'#@#variant 'hl/thm/Library/prime/INDEX_1_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_pow_0_l_prime' 'hl/thm/arith/MOD_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mod_1_r'#@#variant 'hl/thm/Library/prime/INDEX_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_total' 'hl/thm/real/REAL_LT_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_glb_lt_iff' 'hl/thm/int/INT_LT_MIN_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_le_mono' 'hl/thm/realax/NADD_INV_WELLDEF_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_pow2'#@#variant 'hl/thm/Multivariate/transcendentals/EXP_LOG_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rlt_le' 'hl/thm/realax/TREAL_EQ_IMP_LE_'#@#variant
0. 'coq/Coq_Arith_Plus_plus_lt_compat_l' 'hl/thm/real/REAL_LT_LADD_IMP_'
0. 'coq/Coq_ZArith_BinInt_Zpos_eq_iff' 'hl/thm/int/int_eq_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_odd_0' 'hl/thm/Multivariate/complexes/RE_II_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_divide_mono_r' 'hl/thm/realax/HREAL_LE_MUL_RCANCEL_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_nonneg' 'hl/thm/Multivariate/transcendentals/ATN_BOUNDS_/0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_nonneg_pos'#@#variant 'hl/thm/realarith/REAL_LET_ADD_'#@#variant
0. 'coq/Coq_Arith_Mult_mult_le_compat_r' 'hl/thm/realax/NADD_LE_RMUL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_land_diag' 'hl/thm/int/INT_MAX_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_divide_mul_r' 'hl/thm/Library/prime/DIVIDES_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_1_l'#@#variant 'hl/thm/realax/REAL_MUL_LID_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_succ_r' 'hl/thm/calc_int/REAL_MUL_RNEG_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_pos' 'hl/thm/int/int_of_num_th_'
0. 'coq/Coq_ZArith_BinInt_Z_divide_Zpos' 'hl/thm/real/REAL_OF_NUM_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_alt_dichotomy' 'hl/thm/realax/REAL_LE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pos_pred_succ' 'hl/thm/int/NUM_OF_INT_OF_NUM_'
0. 'coq/Coq_NArith_BinNat_N_gcd_divide_iff' 'hl/thm/int/INT_LE_MIN_'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_IsTO_le_lteq' 'hl/thm/realarith/REAL_LE_LT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_nonneg' 'hl/thm/Multivariate/transcendentals/ATN_BOUNDS_/0'#@#variant
0. 'coq/Coq_ZArith_Znat_Zabs2N_inj_opp' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_CNJ_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_irrefl' 'hl/thm/int/INT_LT_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_pos' 'hl/thm/real/REAL_SGN_INEQS_3'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_lub_iff' 'hl/thm/int/INT_MAX_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_odd_0' 'hl/thm/Multivariate/complexes/IM_II_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_nlt_ge' 'hl/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftr_div_pow2'#@#variant 'hl/thm/real/REAL_SUB_RNEG_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_alt_dichotomy' 'hl/thm/realax/TREAL_LE_TOTAL_'#@#variant
0. 'coq/Coq_ZArith_Znat_Z2N_inj_div2' 'hl/thm/Complex/complex_transc/CX_CCOS_'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_double'#@#variant 'hl/thm/Complex/complex_transc/CX_CCOS_'
0. 'coq/Coq_ZArith_BinInt_Z_opp_inj_wd' 'hl/thm/calc_num/ARITH_48'
0. 'coq/Coq_Reals_Rtrigo1_tan_neg' 'hl/thm/int/INT_ABS_SGN_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_involutive' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_NEG_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_le_mono' 'hl/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Reals_Rtrigo_calc_deg_rad' 'hl/thm/Multivariate/transcendentals/CCOS_CACS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_succ_l' 'hl/thm/int/INT_MUL_LNEG_'
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_le_lin'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_LE_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_nle_gt' 'hl/thm/realarith/REAL_NOT_LT_'
0. 'coq/Coq_Arith_PeanoNat_Nat_ldiff_ldiff_l' 'hl/thm/Library/prime/EXP_EXP_'
0. 'coq/Coq_ZArith_BinInt_Z_add_succ_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LNEG_'
0. 'coq/Coq_ZArith_BinInt_Z_lxor_0_l' 'hl/thm/arith/ADD_CLAUSES_0'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qplus_lt_r' 'hl/thm/arith/LE_ADD_LCANCEL_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_pos_cancel_l'#@#variant 'hl/thm/Library/floor/INTEGER_ADD_EQ_0'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_pred_double_spec' 'hl/thm/calc_num/ARITH_9'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_cancel_r' 'hl/thm/arith/EQ_ADD_RCANCEL_'
0. 'coq/Coq_Reals_RIneq_Rinv_0_lt_compat'#@#variant 'hl/thm/Library/floor/RATIONAL_ABS_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_pos'#@#variant 'hl/thm/Library/pocklington/PHI_LOWERBOUND_1_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_pos'#@#variant 'hl/thm/Multivariate/vectors/SQRT_LE_0_'#@#variant
0. 'coq/Coq_Reals_Rfunctions_tech_pow_Rmult' 'hl/thm/Multivariate/complexes/COMPLEX_POLY_CLAUSES_9'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_mul_below' 'hl/thm/real/REAL_SUB_ABS_'
0. 'coq/Coq_PArith_BinPos_Pos_add_lt_mono_r' 'hl/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_le_mono_r' 'hl/thm/arith/LT_LMULT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_odd_0' 'hl/thm/nums/ZERO_DEF_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_diag' 'hl/thm/arith/SUB_REFL_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sub_1_r'#@#variant 'hl/thm/arith/ADD1_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div2_nonneg'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_POS_LT_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zmult_lt_reg_r'#@#variant 'hl/thm/real/REAL_LE_RCANCEL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_le_compat_l' 'hl/thm/realax/NADD_MUL_WELLDEF_LEMMA_'
0. 'coq/Coq_Reals_RIneq_Rinv_mult_distr' 'hl/thm/Library/analysis/REAL_INV_MUL_WEAK_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_simpl_l' 'hl/thm/arith/ADD_SUB2_'
0. 'coq/Coq_ZArith_BinInt_Z_quot_le_mono'#@#variant 'hl/thm/real/REAL_LE_RMUL_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_le_mono_l' 'hl/thm/Library/prime/DIVIDES_MUL_R_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_le_mono_r_iff'#@#variant 'hl/thm/int/INT_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_QArith_Qreals_Q2R_opp' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_INV_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_succ_l' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_opp' 'hl/thm/Multivariate/transcendentals/CNJ_CCOS_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_even_0' 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_pred' 'hl/thm/int/int_sgn_th_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_lt_iff' 'hl/thm/int/INT_MIN_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_lt_mono_l' 'hl/thm/arith/LE_ADD_LCANCEL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_le_mono' 'hl/thm/int/INT_LT_NEG2_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_succ_r_prime' 'hl/thm/arith/EXP_1'
0. 'coq/Coq_Reals_Raxioms_Rmult_1_l' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_double_size_level' 'hl/thm/Multivariate/transcendentals/CX_EXP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_antisym' 'hl/thm/Library/analysis/LESS_EQUAL_ANTISYM_'
0. 'coq/Coq_Arith_Gt_gt_irrefl' 'hl/thm/realarith/REAL_LT_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_mod_idemp_l' 'hl/thm/arith/MOD_EXP_MOD_'#@#variant
0. 'coq/Coq_ZArith_Zquot_Zquot_0_r' 'hl/thm/Library/prime/INDEX_0_'#@#variant
0. 'coq/Coq_Arith_Plus_plus_lt_compat_l' 'hl/thm/int/INT_LE_LADD_IMP_'
0. 'coq/Coq_Reals_SeqProp_CV_minus' 'hl/thm/Library/analysis/SEQ_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_factor_l' 'hl/thm/real/REAL_MAX_MAX_/0'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_le_compat_r' 'hl/thm/Library/analysis/LESS_MONO_ADD_'
0. 'coq/Coq_ZArith_Zquot_Z_rem_same' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_0_r' 'hl/thm/int/INT_MUL_RZERO_'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qcle_lt_trans' 'hl/thm/int/INT_LET_TRANS_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_comm' 'hl/thm/realax/NADD_ADD_SYM_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_divide_mono_r' 'hl/thm/realax/NADD_LE_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_0_discr' 'hl/thm/nums/NOT_SUC_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_le_trans' 'hl/thm/realarith/REAL_LTE_TRANS_'
0. 'coq/Coq_Reals_RIneq_Ropp_Ropp_IZR' 'hl/thm/Complex/complexnumbers/CX_INV_'
0. 'coq/Coq_PArith_BinPos_Pos_add_1_l' 'hl/thm/int/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_inj_wd' 'hl/thm/int/INT_EQ_NEG2_'
0. 'coq/Coq_NArith_Ndist_ni_le_antisym' 'hl/thm/Library/analysis/LESS_EQUAL_ANTISYM_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_of_Qc' 'hl/thm/Complex/complexnumbers/complex_tybij_raw_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_refl' 'hl/thm/realax/NADD_LE_REFL_'
0. 'coq/Coq_ZArith_Zlogarithm_ZERO_le_N_digits' 'hl/thm/Multivariate/transcendentals/ATN_BOUNDS_/0'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pos_pred_succ' 'hl/thm/Multivariate/vectors/LIFT_DROP_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_le_mono' 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_mod_idemp_l' 'hl/thm/arith/MOD_EXP_MOD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_opp_l' 'hl/thm/Library/integer/INT_DIVIDES_LNEG_'
0. 'coq/Coq_Reals_Rlimit_eps2'#@#variant 'hl/thm/Library/analysis/REAL_HALF_DOUBLE_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_le_add_le_sub_r' 'hl/thm/int/INT_LT_SUB_LADD_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_0' 'hl/thm/nums/ZERO_DEF_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_0_l' 'hl/thm/arith/ADD_CLAUSES_0'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_pos'#@#variant 'hl/thm/Library/pratt/PHI_LOWERBOUND_1_'#@#variant
0. 'coq/Coq_MMaps_MMapPositive_PositiveMap_lt_rev_append' 'hl/thm/realax/NADD_MUL_WELLDEF_LEMMA_'
0. 'coq/Coq_ZArith_BinInt_Z_pred_inj_wd' 'hl/thm/Multivariate/transcendentals/ATN_INJ_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sub_max_distr_l' 'hl/thm/arith/EXP_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_mul_below' 'hl/thm/real/REAL_SUB_ABS_'
0. 'coq/Coq_ZArith_BinInt_Z_rem_opp_l_prime' 'hl/thm/arith/ADD_CLAUSES_2'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_div_0_l' 'hl/thm/arith/DIV_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_lub_iff' 'hl/thm/real/REAL_MAX_LT_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_le_compat_l' 'hl/thm/Library/integer/INT_DIVIDES_MUL_L_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_div_mul_le' 'hl/thm/arith/MULT_DIV_LE_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_pos'#@#variant 'hl/thm/int/INT_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_double_mul' 'hl/thm/int/INT_NEG_LMUL_'
0. 'coq/Coq_QArith_Qround_Zdiv_Qdiv' 'hl/thm/int/int_min_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_mul_below' 'hl/thm/real/REAL_SUB_ABS_'
0. 'coq/Coq_PArith_BinPos_Pos_pred_succ' 'hl/thm/Library/transc/ATN_TAN_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_le_succ_r' 'hl/thm/Library/analysis/LESS_SUC_'
0. 'coq/Coq_NArith_BinNat_N_pred_le_mono' 'hl/thm/Library/transc/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_lt_mono'#@#variant 'hl/thm/real/REAL_LE_MUL2_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_nlt_ge' 'hl/thm/arith/NOT_LT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_eq_0' 'hl/thm/arith/MULT_EQ_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_lub_lt_iff' 'hl/thm/int/INT_MAX_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_ngt' 'hl/thm/realax/real_lt_'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_0_r'#@#variant 'hl/thm/Library/prime/INDEX_1_'#@#variant
0. 'coq/Coq_Bool_Bool_andb_false_iff' 'hl/thm/realarith/REAL_ENTIRE_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_nlt_ge' 'hl/thm/int/INT_NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_nlt_ge' 'hl/thm/Library/analysis/real_le_'
0. 'coq/Coq_NArith_BinNat_N_add_shuffle3' 'hl/thm/real/REAL_MIN_ACI_2'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_pos_cancel_r'#@#variant 'hl/thm/Library/analysis/REAL_LT_RDIV_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_neq' 'hl/thm/real/REAL_LT_IMP_NE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_le_mono_r' 'hl/thm/arith/LE_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_le_mono_r' 'hl/thm/arith/LT_ADD_RCANCEL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_nonneg' 'hl/thm/Multivariate/transcendentals/ATN_BOUNDS_/0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_pos_l'#@#variant 'hl/thm/Library/analysis/REAL_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_lt' 'hl/thm/int/int_gt_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_opp_diag_l' 'hl/thm/realax/REAL_ADD_LINV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_move_0_r' 'hl/thm/Complex/complexnumbers/COMPLEX_LNEG_UNIQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_0_sub'#@#variant 'hl/thm/realarith/REAL_SUB_LT_'#@#variant
0. 'coq/Coq_Bool_Bool_diff_false_true' 'hl/thm/Complex/complex_transc/COMPLEX_II_NZ_'#@#variant
0. 'coq/Coq_PArith_Pnat_Nat2Pos_inj_pred' 'hl/thm/Complex/complex_transc/CX_CSIN_'
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_2' 'hl/thm/int/INT_ABS_0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_id' 'hl/thm/int/INT_MAX_ACI_3'
0. 'coq/Coq_NArith_BinNat_N_mul_shuffle3' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_AC_2'
0. 'coq/Coq_Reals_RIneq_Rinv_0_lt_compat'#@#variant 'hl/thm/Multivariate/transcendentals/REAL_EXP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_lt_lin'#@#variant 'hl/thm/Library/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lcm_1_l' 'hl/thm/Complex/complexnumbers/COMPLEX_POLY_NEG_CLAUSES_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_total' 'hl/thm/arith/LT_CASES_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_divide_mono_r' 'hl/thm/Library/integer/INT_DIVIDES_MUL_R_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_ngt' 'hl/thm/arith/NOT_LE_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_max_r' 'hl/thm/arith/LE_ADDR_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_0_l' 'hl/thm/arith/MULT_CLAUSES_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_lt' 'hl/thm/int/INT_BOUNDS_LT_'
0. 'coq/Coq_Reals_Rtrigo1_sin_ge_0'#@#variant 'hl/thm/Library/transc/SIN_POS_PI_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_pos'#@#variant 'hl/thm/Library/transc/ATN_POS_LT_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_lt_mono_nonneg'#@#variant 'hl/thm/real/REAL_LE_MUL2_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_0_l' 'hl/thm/arith/LE_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_nonneg_pos'#@#variant 'hl/thm/int/INT_LET_ADD_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rle_min_compat_r' 'hl/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lt_sub_lt_add_r' 'hl/thm/real/REAL_LE_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_succ_diag_r' 'hl/thm/Library/analysis/LESS_SUC_REFL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_inj_wd' 'hl/thm/Multivariate/vectors/SQRT_INJ_'
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_divide_l' 'hl/thm/int/INT_MIN_MIN_/0'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_gt' 'hl/thm/real/REAL_OF_NUM_GE_'
0. 'coq/Coq_NArith_BinNat_N_le_pred_l' 'hl/thm/Library/pocklington/PHI_LIMIT_'
0. 'coq/__constr_Coq_Init_Peano_le_0_1' 'hl/thm/Library/poly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lt_wf_0' 'hl/thm/Library/analysis/DORDER_NGE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_le_mono_pos_r'#@#variant 'hl/thm/int/INT_LT_RMUL_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_pos_neg'#@#variant 'hl/thm/real/REAL_NEG_GE0_'#@#variant
0. 'coq/Coq_ZArith_Zpower_two_p_gt_ZERO'#@#variant 'hl/thm/real/REAL_INV_LT_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_0_l' 'hl/thm/realax/REAL_MUL_LID_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_pred_r' 'hl/thm/arith/ADD_SUC_'
0. 'coq/Coq_PArith_Pnat_SuccNat2Pos_id_succ' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_CX_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_id' 'hl/thm/real/REAL_MAX_ACI_3'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_lt_iff' 'hl/thm/real/REAL_MIN_LE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_succ_diag_r' 'hl/thm/Library/analysis/LESS_SUC_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_pos'#@#variant 'hl/thm/Library/pocklington/PHI_LOWERBOUND_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lcm_divide_iff' 'hl/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_PArith_BinPos_Pos_add_lt_mono_l' 'hl/thm/realax/NADD_LE_LADD_'
0. 'coq/Coq_PArith_BinPos_Pos_add_le_mono_l' 'hl/thm/int/INT_LT_LADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_stepr' 'hl/thm/int/INT_LTE_TRANS_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_lt_lin'#@#variant 'hl/thm/Library/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_add_xO_pred_double' 'hl/thm/calc_num/ARITH_17'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_succ_le' 'hl/thm/Library/floor/FLOOR_DOUBLE_/0'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_lt_mono_l' 'hl/thm/int/INT_LT_LADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_0_l' 'hl/thm/int/INT_MUL_LID_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rplus_ge_compat_l' 'hl/thm/realax/REAL_LE_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_eq_add_0' 'hl/thm/arith/MULT_EQ_1_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_le_lt_trans' 'hl/thm/realarith/REAL_LET_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_refl' 'hl/thm/realax/TREAL_EQ_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lxor_m1_l'#@#variant 'hl/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rgt_ge' 'hl/thm/realarith/REAL_LT_IMP_LE_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_neg_xO'#@#variant 'hl/thm/Multivariate/transcendentals/CX_EXP_'#@#variant
0. 'coq/Coq_Reals_R_sqrt_sqrt_positivity'#@#variant 'hl/thm/Library/pratt/PHI_LOWERBOUND_1_STRONG_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_refl' 'hl/thm/realax/TREAL_LE_REFL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_pos_nonneg'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_LT_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_0_r' 'hl/thm/realax/HREAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_Arith_Gt_gt_Sn_O' 'hl/thm/Library/transc/SIN_BOUNDS_/1'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zplus_lt_compat_l' 'hl/thm/realax/NADD_MUL_WELLDEF_LEMMA_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_invc' 'hl/thm/Multivariate/transcendentals/CX_ATN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_neq' 'hl/thm/int/INT_LT_IMP_NE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_1_l'#@#variant 'hl/thm/int/INT_ADD_LID_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_mul_cancel_l' 'hl/thm/calc_int/REAL_EQ_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lxor_eq_0_iff' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_0_'#@#variant
0. 'coq/Coq_Bool_Bool_negb_involutive' 'hl/thm/calc_int/REAL_NEG_NEG_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_succ' 'hl/thm/Complex/complex_transc/CX_CCOS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_pow' 'hl/thm/Multivariate/transcendentals/REAL_ABS_RPOW_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_le_mono' 'hl/thm/Library/floor/FLOOR_MONO_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_le' 'hl/thm/int/int_gt_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_double_mul' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LNEG_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_min_l' 'hl/thm/int/INT_MIN_MIN_/0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_pow2'#@#variant 'hl/thm/Multivariate/transcendentals/EXP_LOG_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_nlt_0_r' 'hl/thm/Library/analysis/NOT_LESS_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_factor_r' 'hl/thm/int/INT_MAX_MAX_/1'
0. 'coq/Coq_Reals_Rfunctions_tech_pow_Rmult' 'hl/thm/int/INT_POW_1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sub_le_mono_r' 'hl/thm/Library/prime/LESS_MONO_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_pos'#@#variant 'hl/thm/Library/floor/FLOOR_POS_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_nlt_1_r' 'hl/thm/Library/analysis/NOT_LESS_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_le_mono' 'hl/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_constant_nul_valid'#@#variant 'hl/thm/Multivariate/realanalysis/POLYNOMIAL_FUNCTION_BERNOULLI_'
0. 'coq/Coq_ZArith_BinInt_Z_add_lt_mono_r' 'hl/thm/arith/LT_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_nlt_0_r' 'hl/thm/Library/analysis/NOT_LESS_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_null'#@#variant 'hl/thm/real/REAL_SGN_EQ_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_le' 'hl/thm/int/INT_BOUNDS_LT_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_succ' 'hl/thm/Multivariate/complexes/CX_INV_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_0_r' 'hl/thm/Library/pocklington/ORDER_1_'#@#variant
0. 'coq/Coq_fourier_Fourier_util_Rlt_zero_pos_plus1'#@#variant 'hl/thm/Library/transc/SQRT_POS_LT_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_lt_lin'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_LE_X_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_add_r' 'hl/thm/Library/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_pos' 'hl/thm/calc_num/ARITH_80'
0. 'coq/Coq_Arith_PeanoNat_Nat_even_2'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_mod_idemp_l' 'hl/thm/arith/MOD_MULT_LMOD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_irrefl' 'hl/thm/realarith/REAL_LT_REFL_'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_phi' 'hl/thm/int/int_abstr_'
0. 'coq/Coq_Arith_PeanoNat_Nat_odd_2'#@#variant 'hl/thm/Multivariate/complexes/RE_II_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pred_le_mono' 'hl/thm/arith/FACT_MONO_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_le_mono' 'hl/thm/Library/floor/FLOOR_MONO_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_1_r' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RZERO_'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_inj_ge' 'hl/thm/real/REAL_OF_NUM_GE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftl_opp_r' 'hl/thm/int/INT_SUB_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_lt_iff' 'hl/thm/real/REAL_LT_MAX_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_add_lt_sub_r' 'hl/thm/real/REAL_LE_SUB_RADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_pos'#@#variant 'hl/thm/Library/pratt/PHI_LOWERBOUND_2_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_ge_cases' 'hl/thm/arith/LET_CASES_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_sub_diag' 'hl/thm/real/REAL_SUB_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_add_cancel_r' 'hl/thm/Library/prime/DIVIDES_ADD_REVR_'
0. 'coq/Coq_ZArith_Zorder_Zmult_le_compat_l'#@#variant 'hl/thm/real/REAL_LT_LMUL_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_pred' 'hl/thm/Multivariate/transcendentals/REAL_EXP_NEG_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_lt' 'hl/thm/realax/NADD_OF_NUM_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_pos'#@#variant 'hl/thm/real/REAL_SGN_INEQS_1'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_le_mono_l' 'hl/thm/int/INT_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_lt_lin'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_LT_X_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_nge' 'hl/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lcm_eq_0' 'hl/thm/real/REAL_DIV_EQ_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_pos'#@#variant 'hl/thm/Library/integer/INT_PRIME_ABS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_succ_diag_r' 'hl/thm/int/INT_ABS_LE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lor_lnot_diag'#@#variant 'hl/thm/int/INT_ADD_RINV_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zplus_le_compat_r' 'hl/thm/realax/NADD_LE_RMUL_'
0. 'coq/Coq_ZArith_Zcomplements_Zlength_cons' 'hl/thm/lists/LENGTH_1'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_lt_iff' 'hl/thm/int/INT_MIN_LE_'
0. 'coq/Coq_NArith_BinNat_N_even_0' 'hl/thm/Multivariate/complexes/RE_II_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_Zabs' 'hl/thm/Complex/complexnumbers/CX_INV_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_pred_l' 'hl/thm/int/INT_MUL_LNEG_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_le_compat_l' 'hl/thm/realax/NADD_LE_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_1_r'#@#variant 'hl/thm/Library/prime/INDEX_0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_pos'#@#variant 'hl/thm/Library/floor/INTEGER_ABS_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_add_r' 'hl/thm/Library/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_ZArith_Zeven_Zodd_not_Zeven' 'hl/thm/arith/EVEN_AND_ODD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_divide_mono_r' 'hl/thm/Library/prime/DIVIDES_MUL_R_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_sub_lt_add_r' 'hl/thm/real/REAL_LT_SUB_RADD_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_lub_iff' 'hl/thm/int/INT_MAX_LE_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_odd' 'hl/thm/int/int_of_num_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_mod_idemp_r' 'hl/thm/arith/MOD_MULT_RMOD_'#@#variant
0. 'coq/Coq_Reals_Rtrigo_def_cos_sym' 'hl/thm/Multivariate/transcendentals/COS_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_refl' 'hl/thm/realax/HREAL_LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_refl' 'hl/thm/Library/integer/INT_DIVIDES_REFL_'
0. 'coq/Coq_Init_Datatypes_unit_ind' 'hl/thm/trivia/one_INDUCT_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_glb_lt' 'hl/thm/Library/integer/INT_DIVIDES_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_pred_r' 'hl/thm/arith/SUB_1'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_neg_xO'#@#variant 'hl/thm/Complex/complexnumbers/CX_NEG_'
0. 'coq/Coq_NArith_BinNat_N_add_le_mono_r' 'hl/thm/arith/LT_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_1_l' 'hl/thm/int/INT_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_le_mono_r' 'hl/thm/arith/LE_ADD_RCANCEL_'
0. 'coq/Coq_QArith_QArith_base_Qplus_lt_le_compat' 'hl/thm/arith/LTE_ADD2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_odd_0' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_double'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_INV_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_divide_mono_l' 'hl/thm/Library/integer/INT_DIVIDES_MUL_L_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_eq_0' 'hl/thm/real/REAL_DIV_EQ_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_lt_mono_nonneg'#@#variant 'hl/thm/Library/analysis/REAL_LE_MUL2V_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_mul_assoc' 'hl/thm/realax/NADD_MUL_ASSOC_'
0. 'coq/Coq_QArith_Qreals_Q2R_opp' 'hl/thm/Complex/complex_transc/CX_CEXP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pred_succ' 'hl/thm/Library/transc/ATN_/2'
0. 'coq/Coq_fourier_Fourier_util_Rfourier_lt'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LT_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_sin_gt_0'#@#variant 'hl/thm/Multivariate/transcendentals/TAN_POS_PI2_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_div_small' 'hl/thm/arith/DIV_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_null_iff' 'hl/thm/int/INT_SGN_INEQS_4'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_le_mono_r'#@#variant 'hl/thm/Library/analysis/REAL_LT_LMUL_IMP_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_clearbit_spec_prime'#@#variant 'hl/thm/int/INT_SUB_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_stepr' 'hl/thm/arith/LTE_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_eq_1' 'hl/thm/arith/ADD_EQ_0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_pos'#@#variant 'hl/thm/Library/transc/REAL_EXP_LT_1_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_lt_lin' 'hl/thm/Multivariate/transcendentals/ATN_LE_X_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_total' 'hl/thm/Library/analysis/LESS_LESS_CASES_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_le_mono_r' 'hl/thm/realax/NADD_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_div_le_mono' 'hl/thm/arith/EXP_MONO_LT_IMP_'#@#variant
0. 'coq/Coq_Arith_Gt_plus_gt_compat_l' 'hl/thm/realax/TREAL_LE_LADD_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lcm_diag' 'hl/thm/real/REAL_MIN_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_pos_nonneg'#@#variant 'hl/thm/realarith/REAL_LTE_ADD_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qle_not_lt' 'hl/thm/real/REAL_LET_ANTISYM_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_le' 'hl/thm/realax/NADD_OF_NUM_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_land' 'hl/thm/Library/transc/REAL_EXP_SUB_'
0. 'coq/Coq_NArith_BinNat_N_div2_spec'#@#variant 'hl/thm/arith/ADD1_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qinv_lt_0_compat'#@#variant 'hl/thm/Library/floor/RATIONAL_ABS_'
0. 'coq/Coq_Arith_Div2_div2_double'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_TAN_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_inj_wd' 'hl/thm/calc_num/ARITH_48'
0. 'coq/Coq_PArith_Pnat_SuccNat2Pos_inj_iff' 'hl/thm/Complex/complexnumbers/CX_INJ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_le_mono_l' 'hl/thm/Library/prime/DIVIDES_EXP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftr_opp_r' 'hl/thm/Complex/complexnumbers/complex_div_'
0. 'coq/Coq_Reals_Rfunctions_powerRZ_O' 'hl/thm/int/INT_POW_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_refl' 'hl/thm/realax/NADD_LE_REFL_'
0. 'coq/Coq_PArith_BinPos_Pos_succ_pred_double' 'hl/thm/calc_num/ARITH_4'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_lt_mono_pos_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LE_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div2_nonneg'#@#variant 'hl/thm/Library/floor/FLOOR_POS_LE_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_pos'#@#variant 'hl/thm/Library/pocklington/PHI_LOWERBOUND_2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_lt_lin'#@#variant 'hl/thm/Library/transc/LN_LT_X_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_lt_le_incl' 'hl/thm/arith/LT_IMP_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_eq_1'#@#variant 'hl/thm/arith/MULT_EQ_1_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ldiff_land' 'hl/thm/realax/real_sub_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_shuffle3' 'hl/thm/arith/ADD_AC_2'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_mod_idemp_l' 'hl/thm/arith/MOD_EXP_MOD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lxor_nilpotent' 'hl/thm/arith/SUB_REFL_'#@#variant
0. 'coq/Coq_Bool_Bool_negb_andb' 'hl/thm/Library/transc/REAL_EXP_SUB_'
0. 'coq/Coq_ZArith_BinInt_Zplus_succ_r_reverse' 'hl/thm/int/INT_NEG_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lor_m1_r'#@#variant 'hl/thm/realax/HREAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_Reals_ROrderedType_ROrder_TO_lt_total' 'hl/thm/real/REAL_LT_TOTAL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_lcm_l' 'hl/thm/real/REAL_MAX_MAX_/0'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_is_pos'#@#variant 'hl/thm/Library/floor/RATIONAL_NUM_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_lt_1_2' 'hl/thm/Library/transc/PI2_BOUNDS_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div2_double' 'hl/thm/arith/PRE_1'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_ge_cases' 'hl/thm/realax/REAL_LE_TOTAL_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_move_r' 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_SUB_RADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_odd' 'hl/thm/int/int_of_num_th_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_opp_l' 'hl/thm/int/INT_MUL_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_0_r' 'hl/thm/realax/HREAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_le_trans' 'hl/thm/realarith/REAL_LTE_TRANS_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_add_cancel_r' 'hl/thm/Library/integer/INT_DIVIDES_ADD_REVR_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_lt_m1_0' 'hl/thm/Library/calc_real/REAL_EXP_13_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_divide_mono_r' 'hl/thm/arith/EXP_MONO_LE_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_shuffle3' 'hl/thm/real/REAL_MUL_AC_2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_le_mono_r' 'hl/thm/realax/HREAL_LE_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_lt_iff' 'hl/thm/real/REAL_MIN_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant
0. 'coq/Coq_Reals_Rtrigo_def_sin_antisym' 'hl/thm/Complex/complexnumbers/CNJ_INV_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pred_le_mono' 'hl/thm/realax/NADD_INV_WELLDEF_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_succ' 'hl/thm/arith/PRE_1'
0. 'coq/Coq_Arith_PeanoNat_Nat_odd_0' 'hl/thm/Multivariate/complexes/RE_II_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_opp_pred' 'hl/thm/Complex/complex_transc/CEXP_NEG_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_cancel_r' 'hl/thm/int/INT_EQ_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_lt_mono_l' 'hl/thm/int/INT_LE_LADD_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_lt_iff' 'hl/thm/int/INT_LE_MAX_'
0. 'coq/Coq_ZArith_BinInt_Z_divide_add_cancel_r' 'hl/thm/Complex/cpoly/POLY_DIVIDES_SUB_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_refl' 'hl/thm/Library/prime/DIVIDES_REFL_'
0. 'coq/Coq_Reals_Rfunctions_powerRZ_O' 'hl/thm/Complex/complexnumbers/COMPLEX_POLY_CLAUSES_8'#@#variant
0. 'coq/Coq_Arith_Max_max_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z2Pos_inj_sqrt' 'hl/thm/int/int_sgn_th_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_succ' 'hl/thm/Complex/complexnumbers/CX_INV_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_divide_mono_l' 'hl/thm/realax/NADD_MUL_WELLDEF_LEMMA_'
0. 'coq/Coq_ZArith_Zsqrt_compat_Zsqrt_plain_is_pos'#@#variant 'hl/thm/Library/floor/INTEGER_CLOSED_6'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_pred'#@#variant 'hl/thm/Multivariate/complexes/CSQRT_CX_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_le_compat_l' 'hl/thm/realax/NADD_LE_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_max_r' 'hl/thm/real/REAL_MAX_MAX_/1'
0. 'coq/Coq_ZArith_BinInt_Z_lor_0_l' 'hl/thm/realax/HREAL_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_le_compat_r' 'hl/thm/arith/EXP_MONO_LE_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_glb_lt' 'hl/thm/Library/prime/DIVIDES_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_le_mono_r' 'hl/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_nonpos' 'hl/thm/int/INT_SGN_INEQS_8'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_add_1_l' 'hl/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rplus_le_compat_r' 'hl/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_1_l'#@#variant 'hl/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_nge' 'hl/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_lt_mono' 'hl/thm/calc_int/REAL_LE_NEG2_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_mod' 'hl/thm/arith/MOD_ADD_MOD_'#@#variant
0. 'coq/Coq_Reals_PartSum_uniqueness_sum' 'hl/thm/Library/analysis/SER_UNIQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pos_pred_succ' 'hl/thm/Multivariate/complexes/RE_CX_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_nle_gt' 'hl/thm/realarith/REAL_NOT_LT_'
0. 'coq/Coq_ZArith_BinInt_Z2Pos_inj_1'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_square_spec' 'hl/thm/real/REAL_MUL_2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_divide/1' 'hl/thm/Library/prime/INDEX_TRIVIAL_BOUND_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_nonneg'#@#variant 'hl/thm/Multivariate/vectors/SQRT_LT_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pow_le_mono_l' 'hl/thm/realax/HREAL_LE_MUL_RCANCEL_IMP_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_1_l'#@#variant 'hl/thm/realax/REAL_ADD_LID_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_glb_lt' 'hl/thm/Library/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_mul_r' 'hl/thm/Library/prime/EXP_EXP_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_mul_below' 'hl/thm/real/REAL_SUB_ABS_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_0_r' 'hl/thm/Library/integer/INT_DIVIDES_0_'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_le_lt_iff' 'hl/thm/arith/NOT_LT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lor_diag' 'hl/thm/int/INT_MIN_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div_mul' 'hl/thm/real/REAL_DIV_RMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_nlt_ge' 'hl/thm/int/INT_LT_'
0. 'coq/Coq_NArith_BinNat_N_gt_lt_iff' 'hl/thm/arith/GE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_triangle' 'hl/thm/real/REAL_ABS_TRIANGLE_'
0. 'coq/Coq_QArith_QArith_base_Qlt_le_weak' 'hl/thm/int/INT_LT_IMP_LE_'
0. 'coq/Coq_NArith_BinNat_N_mod_divide' 'hl/thm/Library/prime/DIVIDES_MOD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_lt_mono_r' 'hl/thm/arith/LT_ADD_RCANCEL_'
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_2' 'hl/thm/Library/transc/SQRT_0_'
0. 'coq/Coq_PArith_BinPos_Pos_lt_nle' 'hl/thm/int/INT_NOT_LT_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_le_mono_r' 'hl/thm/arith/LT_ADD_RCANCEL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_diag' 'hl/thm/real/REAL_MUL_2_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rmin_glb' 'hl/thm/Library/prime/DIVIDES_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_sub_le_add_r' 'hl/thm/real/REAL_LT_SUB_RADD_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_sqrt' 'hl/thm/int/int_neg_th_'
0. 'coq/Coq_ZArith_BinInt_Z_nle_gt' 'hl/thm/arith/NOT_LE_'
0. 'coq/Coq_PArith_BinPos_Pos_le_max_l' 'hl/thm/real/REAL_MAX_MAX_/0'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_lt_mono_l' 'hl/thm/real/REAL_LE_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_irrefl' 'hl/thm/int/INT_LT_REFL_'
0. 'coq/Coq_NArith_BinNat_N_nlt_ge' 'hl/thm/int/INT_NOT_LE_'
0. 'coq/Coq_NArith_BinNat_N_add_shuffle3' 'hl/thm/arith/ADD_AC_2'
0. 'coq/Coq_ZArith_BinInt_Z_sgn_opp' 'hl/thm/Multivariate/transcendentals/CNJ_CEXP_'#@#variant
0. 'coq/Coq_ZArith_Znumtheory_rel_prime_1'#@#variant 'hl/thm/Library/prime/DIVIDES_1_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lor_diag' 'hl/thm/real/REAL_MAX_ACI_3'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_pos'#@#variant 'hl/thm/Library/pocklington/PHI_LOWERBOUND_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_add_lt_sub_r' 'hl/thm/int/INT_LE_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_divide_add_cancel_l' 'hl/thm/Library/poly/POLY_DIVIDES_SUB2_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_le_min_r' 'hl/thm/Library/prime/INDEX_TRIVIAL_BOUND_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_sub' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_le_mono' 'hl/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Reals_Rpower_arcsinh_sinh' 'hl/thm/arith/PRE_1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_diag'#@#variant 'hl/thm/arith/BIT0_'
0. 'coq/Coq_PArith_BinPos_Pos_mul_cancel_l' 'hl/thm/arith/EQ_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_succ_pred_pos'#@#variant 'hl/thm/Multivariate/transcendentals/EXP_LOG_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_move_r' 'hl/thm/int/INT_EQ_SUB_LADD_'
0. 'coq/Coq_ZArith_Zorder_Zmult_lt_0_le_compat_r'#@#variant 'hl/thm/real/REAL_LE_RMUL_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_double_size' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_eq_mul_0' 'hl/thm/arith/MULT_EQ_0_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_lt_lin' 'hl/thm/Multivariate/transcendentals/ATN_LE_X_'
0. 'coq/Coq_ZArith_Zsqrt_compat_Zsqrt_plain_is_pos'#@#variant 'hl/thm/real/REAL_LE_INV_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lt_sub_lt_add_r' 'hl/thm/int/INT_LT_SUB_LADD_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_sub_le_add_r' 'hl/thm/real/REAL_LE_SUB_RADD_'
0. 'coq/Coq_ZArith_BinInt_Z_lxor_m1_l'#@#variant 'hl/thm/real/REAL_SUB_LZERO_'#@#variant
0. 'coq/Coq_QArith_Qminmax_Q_min_le_compat_r' 'hl/thm/realax/NADD_LE_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_inj_wd' 'hl/thm/Multivariate/transcendentals/ATN_INJ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_rem_rem' 'hl/thm/arith/MOD_MOD_REFL_'#@#variant
0. 'coq/Coq_ZArith_Zpower_two_power_nat_S'#@#variant 'hl/thm/Multivariate/transcendentals/CX_TAN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_neq' 'hl/thm/int/INT_LT_IMP_NE_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_succ_diag_r' 'hl/thm/Library/analysis/LESS_EQ_SUC_REFL_'
0. 'coq/Coq_NArith_BinNat_N_shiftr_div_pow2'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_RNEG_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_opp_l' 'hl/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_pred_r' 'hl/thm/Multivariate/transcendentals/RPOW_NEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_succ_r' 'hl/thm/arith/LT_SUC_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_opp_r' 'hl/thm/int/INT_MUL_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_asymm' 'hl/thm/real/REAL_LT_GT_'
0. 'coq/Coq_ZArith_Zeven_Zquot2_opp' 'hl/thm/Multivariate/transcendentals/ATN_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_neg_iff'#@#variant 'hl/thm/real/REAL_SGN_EQ_2'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_nlt' 'hl/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_PArith_BinPos_Pos_min_1_r' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_even_0' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_1_l' 'hl/thm/Library/integer/INT_DIVIDES_1_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_null'#@#variant 'hl/thm/int/INT_SGN_EQ_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_sub_r' 'hl/thm/Library/integer/INT_DIVIDES_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_le_mono' 'hl/thm/realax/TREAL_NEG_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_neq_0_succ' 'hl/thm/nums/NOT_SUC_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_lt_succ_diag_r' 'hl/thm/Library/analysis/LESS_SUC_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_1_l' 'hl/thm/arith/ADD_CLAUSES_0'
0. 'coq/Coq_ZArith_Znat_N2Z_id' 'hl/thm/Complex/complexnumbers/complex_tybij_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_even_1'#@#variant 'hl/thm/Multivariate/complexes/RE_II_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_div2_double'#@#variant 'hl/thm/Library/transc/ATN_TAN_'
0. 'coq/Coq_QArith_QArith_base_Qle_refl' 'hl/thm/Complex/cpoly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_lub_lt_iff' 'hl/thm/int/INT_MAX_LE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_1_mul_pos'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_LE_1_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lor_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant
0. 'coq/Coq_Reals_R_sqrt_sqrt_positivity'#@#variant 'hl/thm/Multivariate/complexes/REAL_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_succ_r' 'hl/thm/arith/LT_SUC_LE_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_0' 'hl/thm/Multivariate/complexes/RE_II_'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_iff' 'hl/thm/int/int_eq_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lcm_eq_0' 'hl/thm/realarith/REAL_ENTIRE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_le_mono_r' 'hl/thm/realax/HREAL_LE_ADD_RCANCEL_'
0. 'coq/Coq_ZArith_Zquot_Zquot_opp_l' 'hl/thm/int/INT_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_lor' 'hl/thm/Complex/complex_transc/CEXP_SUB_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_add_lt_sub_r' 'hl/thm/real/REAL_LT_SUB_RADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_0_r' 'hl/thm/Library/integer/INT_DIVIDES_0_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_divide_mono_r' 'hl/thm/realax/HREAL_LE_MUL_RCANCEL_IMP_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_involutive' 'hl/thm/real/REAL_INV_INV_'
0. 'coq/Coq_NArith_BinNat_N_shiftl_shiftl' 'hl/thm/arith/EXP_MULT_'
0. 'coq/Coq_QArith_Qreduction_Qred_opp' 'hl/thm/Multivariate/transcendentals/CNJ_CEXP_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_pos_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_POS_LE_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rplus_ge_compat_r' 'hl/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_min_glb_lt_iff' 'hl/thm/int/INT_LT_MIN_'
0. 'coq/Coq_NArith_BinNat_N_log2_up_pos'#@#variant 'hl/thm/Library/pocklington/EVEN_PHI_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_opp_r' 'hl/thm/realax/real_sub_'
0. 'coq/Coq_Reals_RIneq_Ropp_Ropp_IZR' 'hl/thm/Multivariate/complexes/IM_CNJ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_land' 'hl/thm/Complex/complex_transc/CEXP_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_add_lt_sub_r' 'hl/thm/real/REAL_LE_SUB_LADD_'
0. 'coq/Coq_ZArith_BinInt_Zminus_succ_l' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_LMUL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div2_nonneg'#@#variant 'hl/thm/Library/floor/RATIONAL_NEG_EQ_'
0. 'coq/Coq_QArith_Qminmax_Q_min_glb_lt' 'hl/thm/Library/integer/INT_DIVIDES_SUB_'
0. 'coq/Coq_NArith_BinNat_N_mul_pos_cancel_l'#@#variant 'hl/thm/Library/floor/INTEGER_ADD_EQ_0'
0. 'coq/Coq_Reals_RIneq_Rplus_le_compat_l' 'hl/thm/realax/NADD_LE_LMUL_'
0. 'coq/Coq_ZArith_Znat_Z2N_inj_quot2' 'hl/thm/Multivariate/transcendentals/CX_COS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sub_le_mono_r' 'hl/thm/Library/integer/INT_DIVIDES_MUL_R_'
0. 'coq/Coq_Reals_RIneq_Rgt_not_ge' 'hl/thm/int/INT_LTE_ANTISYM_'
0. 'coq/Coq_ZArith_BinInt_Z_add_succ_r' 'hl/thm/arith/ADD_SUC_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_odd_2'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_succ' 'hl/thm/Multivariate/transcendentals/CCOS_CACS_'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qcle_refl' 'hl/thm/realax/TREAL_EQ_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_move_0_r' 'hl/thm/realarith/REAL_SUB_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lnot_0_l' 'hl/thm/int/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_opp_r' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_RNEG_'
0. 'coq/Coq_QArith_QArith_base_inject_Z_opp' 'hl/thm/Complex/complex_transc/CX_CEXP_'
0. 'coq/Coq_Bool_Bool_negb_xorb_l' 'hl/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_ZArith_BinInt_Z_gcd_diag' 'hl/thm/real/REAL_MUL_2_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_lor' 'hl/thm/Multivariate/transcendentals/REAL_EXP_SUB_'
0. 'coq/Coq_Arith_PeanoNat_Nat_ldiff_diag' 'hl/thm/arith/SUB_REFL_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zeq_plus_swap' 'hl/thm/int/INT_EQ_SUB_RADD_'
0. 'coq/Coq_ZArith_BinInt_Z_add_opp_r' 'hl/thm/int/INT_SUB_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_glb_lt' 'hl/thm/Library/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_pos'#@#variant 'hl/thm/calc_num/ARITH_40'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_lt_mono_r' 'hl/thm/arith/LT_ADD_RCANCEL_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_succ' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_INV_'
0. 'coq/Coq_QArith_QArith_base_Qinv_lt_0_compat'#@#variant 'hl/thm/Library/floor/INTEGER_CLOSED_6'
0. 'coq/Coq_Reals_Rpower_ln_mult'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_DIV_'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_gt' 'hl/thm/int/int_gt_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_1_r' 'hl/thm/arith/MULT_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_lt_mono_r' 'hl/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_le_mono' 'hl/thm/Multivariate/transcendentals/ATN_MONO_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_reg_l' 'hl/thm/realax/HREAL_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_diag' 'hl/thm/Library/analysis/REAL_DOUBLE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_pred_l' 'hl/thm/Library/pratt/PHI_LIMIT_'
0. 'coq/Coq_Reals_Rtrigo1_continuity_cos' 'hl/thm/Library/multiplicative/MULTIPLICATIVE_SIGMA_'
0. 'coq/Coq_PArith_BinPos_Pos_max_1_l' 'hl/thm/int/INT_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_1_r' 'hl/thm/arith/ADD1_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_rem_1_r'#@#variant 'hl/thm/arith/EXP_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_refl' 'hl/thm/realax/TREAL_LE_REFL_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qplus_inj_l' 'hl/thm/arith/LT_ADD_LCANCEL_'
0. 'coq/Coq_PArith_BinPos_Pos_lt_total' 'hl/thm/real/REAL_LT_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_le_compat_r' 'hl/thm/realax/NADD_LE_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_lt_mono'#@#variant 'hl/thm/Library/analysis/REAL_LT_MUL2_ALT_'#@#variant
0. 'coq/Coq_Reals_Ratan_atan_increasing' 'hl/thm/Library/transc/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_0_r' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RZERO_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_nlt_ge' 'hl/thm/realarith/REAL_NOT_LT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_pos'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_POS_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_shuffle3' 'hl/thm/arith/ADD_AC_2'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_ngt' 'hl/thm/realarith/REAL_NOT_LT_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_divide_mul_l' 'hl/thm/Library/integer/INT_DIVIDES_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_add_le' 'hl/thm/int/INT_ABS_TRIANGLE_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_gcd_greatest' 'hl/thm/Library/integer/INT_DIVIDES_ADD_'
0. 'coq/Coq_ZArith_Zquot_Z_quot_monotone'#@#variant 'hl/thm/real/REAL_LE_RMUL_'#@#variant
0. 'coq/Coq_ZArith_Zpow_alt_Zpower_alt_0_r'#@#variant 'hl/thm/arith/EXP_0'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_lt_mono_r' 'hl/thm/arith/LE_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_succ_pred_pos'#@#variant 'hl/thm/Library/transc/EXP_LN_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_sqrt' 'hl/thm/Multivariate/complexes/IM_CNJ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_le_succ_r' 'hl/thm/Library/analysis/LESS_SUC_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_refl' 'hl/thm/arith/LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_0_r' 'hl/thm/Library/prime/DIVIDES_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_ones_equiv'#@#variant 'hl/thm/calc_num/ARITH_9'
0. 'coq/Coq_ZArith_BinInt_Z_opp_pos_neg'#@#variant 'hl/thm/int/INT_NEG_GE0_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rge_ge_eq' 'hl/thm/arith/LE_ANTISYM_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_lt_mono_r' 'hl/thm/int/INT_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_double_mul' 'hl/thm/calc_int/REAL_MUL_LNEG_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pred_le_mono' 'hl/thm/Library/floor/FLOOR_MONO_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_cancel_r' 'hl/thm/calc_int/REAL_EQ_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_cancel_l' 'hl/thm/realax/HREAL_EQ_ADD_LCANCEL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_diag' 'hl/thm/arith/MULT_2_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_le_mono' 'hl/thm/Multivariate/vectors/SQRT_MONO_LE_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_divide_mono_l' 'hl/thm/Library/prime/DIVIDES_MUL_L_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div2_double' 'hl/thm/arith/PRE_1'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_ge_cases' 'hl/thm/realax/REAL_LE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_nonneg_r'#@#variant 'hl/thm/real/REAL_LE_RMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_shuffle3' 'hl/thm/real/REAL_MUL_AC_2'
0. 'coq/Coq_Strings_Ascii_ascii_N_embedding' 'hl/thm/Complex/complexnumbers/complex_tybij_raw_0'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_sub_distr_l' 'hl/thm/realax/NADD_LDISTRIB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lcm_1_l'#@#variant 'hl/thm/realarith/REAL_POLY_NEG_CLAUSES_0'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_lt_trans' 'hl/thm/int/INT_LET_TRANS_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_cancel_r' 'hl/thm/calc_int/REAL_EQ_ADD_RCANCEL_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_1_l'#@#variant 'hl/thm/int/INT_MUL_LID_'#@#variant
0. 'coq/Coq_Arith_Max_le_max_l' 'hl/thm/realax/NADD_LE_ADD_'
0. 'coq/Coq_QArith_QArith_base_Qplus_lt_le_compat' 'hl/thm/int/INT_LTE_ADD2_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_r' 'hl/thm/realax/HREAL_LE_MUL_RCANCEL_IMP_'
0. 'coq/Coq_NArith_BinNat_N_sub_succ_r' 'hl/thm/Multivariate/transcendentals/RPOW_NEG_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sub_max_distr_l' 'hl/thm/arith/EXP_ADD_'
0. 'coq/Coq_ZArith_Znat_Z2N_inj_quot2' 'hl/thm/Multivariate/transcendentals/CX_EXP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lor_m1_r'#@#variant 'hl/thm/calc_int/REAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_add_r' 'hl/thm/real/REAL_MAX_MAX_/0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_lt_le_mono' 'hl/thm/real/REAL_LTE_ADD2_'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_double'#@#variant 'hl/thm/Complex/complexnumbers/CX_NEG_'
0. 'coq/Coq_PArith_BinPos_Pos_gt_lt_iff' 'hl/thm/int/INT_GE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_double_mul' 'hl/thm/arith/ADD_CLAUSES_2'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_ge_le_iff' 'hl/thm/realax/real_gt_'
0. 'coq/Coq_QArith_QArith_base_Qinv_le_0_compat'#@#variant 'hl/thm/Multivariate/transcendentals/REAL_SIN_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_gcd_divide_l' 'hl/thm/Library/analysis/SUB_LESS_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mod_0_l' 'hl/thm/arith/MOD_0_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sub_add' 'hl/thm/arith/ADD_SUB_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_succ_l' 'hl/thm/int/INT_MUL_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_le_compat_l' 'hl/thm/realax/TREAL_LE_LADD_IMP_'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_max_id' 'hl/thm/int/INT_MIN_ACI_3'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj_ge' 'hl/thm/int/int_gt_'
0. 'coq/Coq_Arith_Plus_plus_lt_reg_l' 'hl/thm/realax/NADD_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sub_le_mono_r' 'hl/thm/Library/prime/DIVIDES_MUL_R_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_clearbit_spec_prime'#@#variant 'hl/thm/int/INT_SUB_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_sgn' 'hl/thm/Multivariate/transcendentals/CX_COS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_divide_mono_l' 'hl/thm/Library/integer/INT_DIVIDES_MUL_L_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_ones_equiv'#@#variant 'hl/thm/calc_num/ARITH_9'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_add_r' 'hl/thm/Library/prime/DIVIDES_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_total' 'hl/thm/int/INT_LT_TOTAL_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_0_succ' 'hl/thm/Multivariate/transcendentals/ATN_BOUNDS_/0'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_1_l' 'hl/thm/realax/REAL_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_lt_mono' 'hl/thm/calc_int/REAL_LE_NEG2_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_lt_mono_r' 'hl/thm/realax/HREAL_LE_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_nge' 'hl/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_Reals_R_sqr_Rsqr_div' 'hl/thm/Library/analysis/ABS_DIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_lt_lin'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_LE_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lxor_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_pow_succ_r' 'hl/thm/arith/EXP_1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_land_m1_l'#@#variant 'hl/thm/realax/HREAL_ADD_LID_'#@#variant
0. 'coq/Coq_Arith_Min_min_0_r' 'hl/thm/calc_int/REAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_refl' 'hl/thm/realax/NADD_EQ_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_le_mono_l' 'hl/thm/Library/prime/DIVIDES_MUL_R_'
0. 'coq/Coq_ZArith_BinInt_Z_lnot_lxor_l' 'hl/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_lt_mono_r' 'hl/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_add_cancel_r' 'hl/thm/Library/prime/DIVIDES_ADD_REVR_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_min_l' 'hl/thm/Library/analysis/SUB_LESS_EQ_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_refl' 'hl/thm/realax/REAL_LE_REFL_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_sqrt' 'hl/thm/Multivariate/complexes/CX_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_opp' 'hl/thm/Multivariate/vectors/SQRT_WORKS_GEN_/0'
0. 'coq/Coq_ZArith_BinInt_Z_abs_pow' 'hl/thm/int/INT_MUL_LNEG_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_max_l' 'hl/thm/real/REAL_MAX_MAX_/0'
0. 'coq/Coq_ZArith_BinInt_Z_sub_move_r' 'hl/thm/int/INT_EQ_SUB_RADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_even_0' 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant
0. 'coq/Coq_Arith_Mult_mult_le_compat_r' 'hl/thm/Library/analysis/LESS_MONO_ADD_'
0. 'coq/Coq_ZArith_BinInt_Z_divide_abs_r' 'hl/thm/Library/integer/INT_DIVIDES_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_divide_mono_r' 'hl/thm/Library/integer/INT_DIVIDES_MUL_R_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_nonpos' 'hl/thm/int/INT_SGN_INEQS_6'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftl_shiftl' 'hl/thm/arith/EXP_MULT_'
0. 'coq/Coq_Bool_Bool_negb_involutive_reverse' 'hl/thm/Complex/complexnumbers/COMPLEX_INV_INV_'
0. 'coq/Coq_Reals_RIneq_pos_INR'#@#variant 'hl/thm/real/REAL_LT_POW2_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_log2_pos'#@#variant 'hl/thm/Library/pratt/PHI_LOWERBOUND_2_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_glb_iff' 'hl/thm/real/REAL_LT_MIN_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_le_mono' 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_glb_iff' 'hl/thm/int/INT_LE_MIN_'
0. 'coq/Coq_Reals_Rtrigo1_tan_diff' 'hl/thm/Multivariate/transcendentals/REAL_SUB_TAN_'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_gt' 'hl/thm/realax/NADD_OF_NUM_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_nlt_ge' 'hl/thm/Library/analysis/real_le_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_ge_cases' 'hl/thm/int/INT_LET_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_l' 'hl/thm/realax/NADD_LE_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_nonneg'#@#variant 'hl/thm/real/REAL_NEG_GE0_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lcm_diag' 'hl/thm/real/REAL_MAX_ACI_3'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_is_pos'#@#variant 'hl/thm/Library/floor/INTEGER_CLOSED_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_nonneg'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_POS_LE_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_le_trans' 'hl/thm/arith/LTE_TRANS_'
0. 'coq/Coq_NArith_BinNat_N_divide_add_cancel_r' 'hl/thm/Library/prime/DIVIDES_ADD_REVR_'
0. 'coq/Coq_NArith_BinNat_N_log2_up_nonneg' 'hl/thm/Multivariate/transcendentals/ATN_BOUNDS_/0'#@#variant
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_double_plus_one' 'hl/thm/Complex/complex_transc/CX_CEXP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_le_compat_r' 'hl/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_log2_up_pos'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_POS_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_cancel_r' 'hl/thm/realax/HREAL_EQ_ADD_RCANCEL_'
0. 'coq/Coq_ZArith_Zgcd_alt_fibonacci_pos'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_glb_lt' 'hl/thm/Complex/cpoly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Init_Peano_pred_Sn' 'hl/thm/Multivariate/transcendentals/LOG_EXP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gt_lt_iff' 'hl/thm/int/INT_GE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_refl' 'hl/thm/realax/HREAL_LE_REFL_'
0. 'coq/Coq_Reals_RIneq_Ropp_mult_distr_l_reverse' 'hl/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_Reals_Ratan_Ropp_div' 'hl/thm/int/INT_MUL_LNEG_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_succ_r' 'hl/thm/int/INT_NEG_RMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_lxor_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_add_lt_sub_r' 'hl/thm/int/INT_LT_ADD_SUB_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_r' 'hl/thm/Library/prime/DIVIDES_MUL_R_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_lt_mono_r' 'hl/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_Init_Datatypes_CompOpp_iff' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_EQ_'
0. 'coq/Coq_NArith_BinNat_N_lt_asymm' 'hl/thm/real/REAL_LT_GT_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_succ_diag_r' 'hl/thm/real/REAL_ABS_LE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div2_nonneg'#@#variant 'hl/thm/Multivariate/complexes/REAL_INV_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_sub_add' 'hl/thm/arith/SUB_ADD_'
0. 'coq/Coq_PArith_BinPos_Pos_lt_nle' 'hl/thm/arith/NOT_LT_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_odd_2' 'hl/thm/Multivariate/complexes/RE_II_'#@#variant
0. 'coq/Coq_Reals_Rtopology_compact_P2' 'hl/thm/Multivariate/realanalysis/REAL_LEBESGUE_MEASURABLE_CLOSED_'
0. 'coq/Coq_QArith_QArith_base_Qplus_le_r' 'hl/thm/arith/LE_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_cancel_l' 'hl/thm/int/INT_EQ_ADD_LCANCEL_'
0. 'coq/Coq_NArith_BinNat_N_le_sub_le_add_r' 'hl/thm/real/REAL_LT_SUB_LADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_sub_le_add_r' 'hl/thm/real/REAL_LT_SUB_RADD_'
0. 'coq/Coq_ZArith_BinInt_Z_divide_refl' 'hl/thm/realax/TREAL_EQ_REFL_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_odd_1' 'hl/thm/Multivariate/complexes/RE_II_'#@#variant
0. 'coq/Coq_Reals_Rtopology_compact_P1' 'hl/thm/Multivariate/realanalysis/REAL_LEBESGUE_MEASURABLE_CLOSED_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_null'#@#variant 'hl/thm/real/REAL_SGN_EQ_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lcm_diag' 'hl/thm/Library/analysis/REAL_DOUBLE_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_odd_0' 'hl/thm/Multivariate/complexes/RE_II_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_inj_wd' 'hl/thm/Multivariate/transcendentals/ATN_INJ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_sub_le_add_r' 'hl/thm/int/INT_LE_SUB_RADD_'
0. 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_le_lt_iff' 'hl/thm/int/INT_NOT_LT_'
0. 'coq/Coq_PArith_BinPos_Pos_mul_lt_mono_r' 'hl/thm/arith/LT_ADD_RCANCEL_'
0. 'coq/Coq_Reals_RIneq_Rlt_or_le' 'hl/thm/realarith/REAL_LET_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_0_r' 'hl/thm/realax/HREAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sub_diag' 'hl/thm/real/REAL_SUB_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_2' 'hl/thm/Multivariate/transcendentals/TAN_0_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_pred_l' 'hl/thm/Library/floor/FLOOR_/1'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_cancel_l' 'hl/thm/int/INT_EQ_ADD_LCANCEL_'
0. 'coq/Coq_Reals_RIneq_Rlt_not_le' 'hl/thm/realarith/REAL_LTE_ANTISYM_'
0. 'coq/Coq_Reals_RIneq_cond_nonneg'#@#variant 'hl/thm/real/REAL_LT_POW2_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_ldiff_ldiff_l' 'hl/thm/arith/EXP_MULT_'
0. 'coq/Coq_Arith_PeanoNat_Nat_eq_add_0' 'hl/thm/arith/ADD_EQ_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_max_l' 'hl/thm/int/INT_MAX_MAX_/0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_quot_abs' 'hl/thm/Library/analysis/ABS_DIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_le_mono_l' 'hl/thm/real/REAL_LT_LADD_'
0. 'coq/Coq_Reals_Rtrigo1_sin_neg' 'hl/thm/int/INT_SGN_NEG_'
0. 'coq/Coq_NArith_BinNat_N_neq_succ_0' 'hl/thm/arith/FACT_NZ_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_le_add_r' 'hl/thm/real/REAL_MAX_MAX_/0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_opp_l' 'hl/thm/Multivariate/transcendentals/REAL_ABS_RPOW_'
0. 'coq/Coq_ZArith_BinInt_Z_add_0_l' 'hl/thm/realax/REAL_MUL_LID_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_divide_sub_r' 'hl/thm/Library/prime/DIVIDES_SUB_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_sub_succ_r' 'hl/thm/Multivariate/transcendentals/RPOW_NEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_le_mono_r_iff'#@#variant 'hl/thm/Library/analysis/REAL_LE_LMUL_LOCAL_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_pos'#@#variant 'hl/thm/Library/pocklington/EVEN_PHI_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qmult_lt_compat_r'#@#variant 'hl/thm/real/REAL_LE_RMUL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_xO'#@#variant 'hl/thm/Multivariate/complexes/IM_CNJ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_even_0' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_ge' 'hl/thm/realax/NADD_OF_NUM_LE_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_refl' 'hl/thm/realax/TREAL_EQ_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_le_mono_l' 'hl/thm/int/INT_LT_LADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_le_lin' 'hl/thm/Library/floor/FLOOR_/1'
0. 'coq/Coq_QArith_QArith_base_Qplus_assoc' 'hl/thm/realax/NADD_ADD_ASSOC_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_quot2' 'hl/thm/Multivariate/transcendentals/CX_COS_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_shuffle3' 'hl/thm/real/REAL_MAX_ACI_2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lxor_m1_l'#@#variant 'hl/thm/realarith/REAL_POLY_NEG_CLAUSES_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_lt' 'hl/thm/int/INT_BOUNDS_LE_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_sqrt' 'hl/thm/Complex/complex_transc/CX_CCOS_'
0. 'coq/Coq_ZArith_BinInt_Z_abs_eq_iff'#@#variant 'hl/thm/int/INT_ABS_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_even_2'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_le_incl' 'hl/thm/realax/NADD_EQ_IMP_LE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftl_1_l'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_LZERO_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_quot_pos'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_LT_1_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_glb' 'hl/thm/Library/integer/INT_DIVIDES_ADD_'
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_2' 'hl/thm/Library/transc/TAN_0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_min_l' 'hl/thm/int/INT_MIN_MIN_/0'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_le_max_r' 'hl/thm/real/REAL_MAX_MAX_/1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_nlt_ge' 'hl/thm/arith/NOT_LE_'
0. 'coq/Coq_QArith_QArith_base_Qinv_lt_0_compat'#@#variant 'hl/thm/Library/floor/RATIONAL_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_nonpos_nonneg'#@#variant 'hl/thm/real/REAL_NEG_LT0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_land_0_r' 'hl/thm/Library/pocklington/ORDER_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_eq_le_incl' 'hl/thm/real/REAL_EQ_IMP_LE_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_le_compat_r' 'hl/thm/arith/EXP_MONO_LE_IMP_'
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_greatest' 'hl/thm/Library/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_1_mul_pos'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_LE_1_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rle_refl' 'hl/thm/Complex/cpoly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_asymm' 'hl/thm/int/INT_LT_GT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sub_max_distr_l' 'hl/thm/arith/EXP_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_divide_mono_r' 'hl/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_sin_pos_tech'#@#variant 'hl/thm/Multivariate/transcendentals/TAN_POS_PI2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_succ' 'hl/thm/Multivariate/transcendentals/REAL_EXP_NEG_'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_add_r' 'hl/thm/realax/NADD_LE_ADD_'
0. 'coq/Coq_Reals_R_sqrt_sqrt_lt_R0'#@#variant 'hl/thm/Library/floor/RATIONAL_NEG_'
0. 'coq/Coq_fourier_Fourier_util_Rle_zero_pos_plus1'#@#variant 'hl/thm/Library/floor/RATIONAL_INV_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div_0_l' 'hl/thm/arith/MOD_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_succ' 'hl/thm/Multivariate/transcendentals/ATN_TAN_'
0. 'coq/Coq_Reals_Rtrigo1_sin_shift'#@#variant 'hl/thm/Multivariate/transcendentals/COS_SIN_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_cancel_l' 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_glb_lt' 'hl/thm/Library/prime/DIVIDES_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_succ_l' 'hl/thm/int/INT_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_le_iff' 'hl/thm/int/INT_MIN_LE_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_succ_not_1' 'hl/thm/Complex/complex_transc/CEXP_NONZERO_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_odd_2'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_le_mono_r'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LE_'#@#variant
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_IsTO_lt_total' 'hl/thm/Library/analysis/LESS_CASES_IMP_'
0. 'coq/Coq_Reals_Rtrigo1_sin_pos_tech'#@#variant 'hl/thm/Multivariate/transcendentals/COS_POS_PI2_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lt_add_lt_sub_r' 'hl/thm/Library/analysis/SUB_LEFT_GREATER_EQ_'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_le_mono_r_iff'#@#variant 'hl/thm/Library/analysis/REAL_LE_LMUL_LOCAL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_pos'#@#variant 'hl/thm/real/REAL_LT_INV_EQ_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_gcd_assoc' 'hl/thm/realax/NADD_MUL_ASSOC_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_ge_le_iff' 'hl/thm/arith/GE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_neg'#@#variant 'hl/thm/real/REAL_NEG_LE0_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_div2' 'hl/thm/int/int_sgn_th_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_glb' 'hl/thm/Library/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_odd_1'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant
0. 'coq/Coq_fourier_Fourier_util_Rlt_zero_pos_plus1'#@#variant 'hl/thm/Multivariate/transcendentals/REAL_TAN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_opp' 'hl/thm/Multivariate/vectors/SQRT_INV_'
0. 'coq/Coq_ZArith_BinInt_Z_lt_ge_cases' 'hl/thm/realarith/REAL_LET_TOTAL_'
0. 'coq/Coq_Reals_Rtrigo_calc_rad_deg' 'hl/thm/Library/transc/ATN_/2'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_0_r'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_1_r' 'hl/thm/arith/ADD_0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_2' 'hl/thm/Library/transc/SIN_0_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_le_mono_r' 'hl/thm/realax/HREAL_LE_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_le_mono' 'hl/thm/Library/floor/FLOOR_MONO_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_pos'#@#variant 'hl/thm/Library/floor/INTEGER_NEG_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_shuffle3' 'hl/thm/int/INT_ADD_AC_2'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_gt_cases' 'hl/thm/arith/LTE_CASES_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_sub_le_add_r' 'hl/thm/real/REAL_LT_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_nlt_0_r' 'hl/thm/Library/prime/NOT_LESS_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_le_compat_l' 'hl/thm/realax/NADD_LE_LMUL_'
0. 'coq/Coq_Reals_Ratan_ps_atan_opp' 'hl/thm/real/REAL_SGN_NEG_'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_le_mono_r_iff'#@#variant 'hl/thm/Library/analysis/REAL_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_greatest' 'hl/thm/Library/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_nlt_ge' 'hl/thm/int/INT_NOT_LT_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_pred_r' 'hl/thm/arith/ADD_SUC_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_mod_idemp_l' 'hl/thm/arith/MOD_MULT_LMOD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_add_lt_sub_r' 'hl/thm/int/INT_LT_SUB_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_le_mono_nonneg_r'#@#variant 'hl/thm/real/REAL_LE_RMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_le_compat_l' 'hl/thm/realax/TREAL_LE_LADD_IMP_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_even_0' 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_ge_cases' 'hl/thm/int/INT_LE_TOTAL_'
0. 'coq/Coq_NArith_BinNat_N_even_2'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_le' 'hl/thm/int/INT_BOUNDS_LE_'
0. 'coq/Coq_QArith_Qcanon_Qcplus_0_l'#@#variant 'hl/thm/int/INT_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_nle' 'hl/thm/arith/NOT_LT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_pos' 'hl/thm/real/REAL_SGN_INEQS_2'#@#variant
0. 'coq/Coq_Structures_OrderedTypeEx_Z_as_OT_lt_not_eq' 'hl/thm/int/INT_LT_IMP_NE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_pos'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_POS_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_le_iff' 'hl/thm/int/INT_LT_MAX_'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_pos'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_POS_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_even_2'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_nonneg' 'hl/thm/Multivariate/transcendentals/ATN_BOUNDS_/0'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_shuffle3' 'hl/thm/int/INT_MAX_ACI_2'
0. 'coq/Coq_Arith_Mult_mult_le_compat_l' 'hl/thm/realax/NADD_MUL_WELLDEF_LEMMA_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_move_r' 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_SUB_RADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftr_div_pow2'#@#variant 'hl/thm/Complex/complexnumbers/complex_sub_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_involutive' 'hl/thm/Multivariate/complexes/CNJ_CNJ_'#@#variant
0. 'coq/Coq_Arith_Div2_div2_double'#@#variant 'hl/thm/Multivariate/transcendentals/CSIN_CASN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_alt_dichotomy' 'hl/thm/realax/HREAL_LE_TOTAL_'
0. 'coq/Coq_Reals_Rminmax_R_max_lub_iff' 'hl/thm/int/INT_MAX_LT_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_red' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_INV_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_pow2'#@#variant 'hl/thm/Multivariate/transcendentals/EXP_LOG_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lt_1_mul_pos'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_LE_1_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_pos'#@#variant 'hl/thm/real/REAL_LE_INV_EQ_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_add_r' 'hl/thm/Library/prime/DIVIDES_ADD_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_cancel_l' 'hl/thm/int/INT_EQ_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_le_mono_pos_r'#@#variant 'hl/thm/real/REAL_LE_RMUL_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_1_r'#@#variant 'hl/thm/realax/HREAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_clearbit_spec_prime'#@#variant 'hl/thm/int/INT_SUB_RNEG_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_le_mono' 'hl/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_lt_mono_nonneg'#@#variant 'hl/thm/real/REAL_LT_MUL2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div2_neg' 'hl/thm/real/REAL_SGN_INEQS_6'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sgn_nonneg'#@#variant 'hl/thm/Multivariate/complexes/REAL_INV_EQ_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_le_refl' 'hl/thm/Complex/cpoly/POLY_DIVIDES_REFL_'#@#variant
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_double' 'hl/thm/int/int_abs_th_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_le_succ_r' 'hl/thm/Library/analysis/LESS_SUC_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_ngt' 'hl/thm/realarith/REAL_NOT_LT_'
0. 'coq/Coq_Reals_Rtrigo1_sin_neg' 'hl/thm/Complex/complexnumbers/CNJ_INV_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_add_le' 'hl/thm/int/INT_ABS_TRIANGLE_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_0_r'#@#variant 'hl/thm/arith/MOD_1_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_double_mul' 'hl/thm/calc_int/REAL_MUL_LNEG_'
0. 'coq/Coq_Reals_Rtrigo1_sin_pos_tech'#@#variant 'hl/thm/Library/transc/TAN_POS_PI2_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_2' 'hl/thm/int/INT_NEG_0_'
0. 'coq/Coq_ZArith_BinInt_Z_succ_inj_wd' 'hl/thm/Multivariate/transcendentals/REAL_EXP_INJ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_ge_cases' 'hl/thm/arith/LTE_CASES_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_l' 'hl/thm/realax/TREAL_LE_LADD_IMP_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lt_asymm' 'hl/thm/arith/LT_ANTISYM_'
0. 'coq/Coq_ZArith_BinInt_Z_min_le_compat_r' 'hl/thm/realax/HREAL_LE_MUL_RCANCEL_IMP_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_succ' 'hl/thm/Multivariate/complexes/IM_CNJ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_1_r'#@#variant 'hl/thm/arith/MULT_0_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_add_r' 'hl/thm/Library/integer/INT_DIVIDES_SUB_'
0. 'coq/Coq_NArith_BinNat_N_pos_pred_succ' 'hl/thm/Library/floor/INT_OF_REAL_OF_INT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_pred_l' 'hl/thm/Library/floor/FLOOR_/1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_pos_nonneg'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_LE_1_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_factor_l' 'hl/thm/real/REAL_MAX_MAX_/0'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_2'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_sin_pos_tech'#@#variant 'hl/thm/Library/transc/COS_POS_PI2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_le_compat_r' 'hl/thm/Library/prime/DIVIDES_EXP_'
0. 'coq/Coq_ZArith_Zeven_Zeven_plus_Zodd' 'hl/thm/realarith/REAL_LET_ADD_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_min_1_r' 'hl/thm/arith/MULT_0_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_neg_xO'#@#variant 'hl/thm/int/int_abs_th_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_succ_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_opp_r' 'hl/thm/Complex/complexnumbers/complex_div_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_ge_le_iff' 'hl/thm/arith/GT_'
0. 'coq/Coq_ZArith_BinInt_Z_abs_eq_iff'#@#variant 'hl/thm/Library/floor/REAL_FLOOR_EQ_'
0. 'coq/Coq_QArith_QArith_base_Qmult_plus_distr_r' 'hl/thm/realax/NADD_LDISTRIB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_1_l' 'hl/thm/Complex/complexnumbers/COMPLEX_POLY_NEG_CLAUSES_0'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_max_1_l' 'hl/thm/realax/HREAL_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_clearbit_spec_prime'#@#variant 'hl/thm/real/REAL_SUB_RNEG_'
0. 'coq/Coq_PArith_BinPos_Pos_divide_add_cancel_l' 'hl/thm/Library/integer/INT_DIVIDES_ADD_REVL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_lt_mono_l' 'hl/thm/realax/HREAL_LE_ADD_LCANCEL_'
0. 'coq/Coq_NArith_BinNat_N_setbit_spec_prime'#@#variant 'hl/thm/realax/real_sub_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mod_1_r'#@#variant 'hl/thm/Library/prime/INDEX_1_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_lxor_r' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RNEG_'
0. 'coq/Coq_Arith_Even_even_mult_aux/0' 'hl/thm/arith/ODD_MULT_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_pos'#@#variant 'hl/thm/Library/transc/REAL_EXP_LT_1_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_log2_shiftr' 'hl/thm/int/INT_SUB_LNEG_'
0. 'coq/Coq_QArith_Qminmax_Q_max_le_compat_r' 'hl/thm/realax/NADD_LE_RMUL_'
0. 'coq/Coq_ZArith_Znat_Z2N_inj_pred' 'hl/thm/int/int_neg_th_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_lt_mono_nonneg'#@#variant 'hl/thm/real/REAL_LE_MUL2_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_add_assoc' 'hl/thm/realax/TREAL_MUL_ASSOC_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lnot_ones' 'hl/thm/realax/REAL_ADD_LINV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_opp_l' 'hl/thm/int/INT_NEG_LMUL_'
0. 'coq/Coq_Reals_Rminmax_R_min_le_compat_l' 'hl/thm/realax/NADD_MUL_WELLDEF_LEMMA_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_lt_mono_l' 'hl/thm/real/REAL_LE_LADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div2_double' 'hl/thm/Multivariate/transcendentals/CSIN_CASN_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_lt_iff' 'hl/thm/int/INT_LT_MAX_'
0. 'coq/Coq_NArith_BinNat_N_odd_1'#@#variant 'hl/thm/Multivariate/complexes/RE_II_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div2_nonneg'#@#variant 'hl/thm/int/INT_SGN_INEQS_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_lt_mono_l' 'hl/thm/realax/NADD_LE_LADD_'
0. 'coq/Coq_ZArith_BinInt_Z_rem_1_r'#@#variant 'hl/thm/Library/prime/INDEX_1_'#@#variant
0. 'coq/Coq_Arith_Lt_lt_0_neq'#@#variant 'hl/thm/real/REAL_POS_NZ_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_le_mono_l' 'hl/thm/arith/LT_ADD_LCANCEL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_sub_triangle' 'hl/thm/real/REAL_SUB_ABS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lxor_0_l' 'hl/thm/realax/REAL_MUL_LID_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_square_nonneg'#@#variant 'hl/thm/realarith/REAL_LE_SQUARE_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_lt_mono_r' 'hl/thm/realax/NADD_LE_RADD_'
0. 'coq/Coq_NArith_BinNat_N_pred_div2_up' 'hl/thm/Complex/complexnumbers/CX_INV_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_lt_lin'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_LT_X_'#@#variant
0. 'coq/Coq_Reals_Rfunctions_pow_le'#@#variant 'hl/thm/real/REAL_POW_LT_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_pred_r' 'hl/thm/calc_int/REAL_MUL_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_le_mono_r_iff'#@#variant 'hl/thm/Library/analysis/REAL_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_div2_nonneg'#@#variant 'hl/thm/Multivariate/vectors/SQRT_LT_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_1_r'#@#variant 'hl/thm/arith/ADD1_'#@#variant
0. 'coq/Coq_Reals_Exp_prop_exp_pos' 'hl/thm/Multivariate/transcendentals/ATN_BOUNDS_/0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_eq_cases' 'hl/thm/realarith/REAL_LE_LT_'
0. 'coq/Coq_Arith_PeanoNat_Nat_max_le_compat_l' 'hl/thm/int/INT_LE_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_pos'#@#variant 'hl/thm/Library/transc/REAL_EXP_LT_1_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_pow2'#@#variant 'hl/thm/Multivariate/transcendentals/EXP_LOG_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_min_le_compat_l' 'hl/thm/int/INT_LE_LADD_IMP_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_rem_opp_l_prime' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_LMUL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_xO_r' 'hl/thm/int/INT_NEG_RMUL_'
0. 'coq/Coq_Reals_Rfunctions_pow_le'#@#variant 'hl/thm/int/INT_POW_LE_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_1_r' 'hl/thm/int/INT_MUL_RZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_le_compat_r' 'hl/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_red' 'hl/thm/Multivariate/complexes/CX_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_glb' 'hl/thm/Library/poly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lcm_1_l'#@#variant 'hl/thm/arith/MULT_CLAUSES_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_setbit_spec_prime'#@#variant 'hl/thm/int/INT_SUB_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_odd_2' 'hl/thm/nums/ZERO_DEF_'
0. 'coq/Coq_Reals_RIneq_opp_IZR' 'hl/thm/Multivariate/transcendentals/CX_TAN_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_lxor_l' 'hl/thm/calc_int/REAL_MUL_LNEG_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_opp' 'hl/thm/int/INT_SGN_NEG_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_le_incl' 'hl/thm/int/INT_LT_IMP_LE_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_succ_r' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_RMUL_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_odd_1' 'hl/thm/nums/ZERO_DEF_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_lub_iff' 'hl/thm/real/REAL_MAX_LT_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_lt' 'hl/thm/realax/TREAL_OF_NUM_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_1_mul_pos'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_LT_1_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_glb_iff' 'hl/thm/int/INT_LE_MIN_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_mul_add_distr_r' 'hl/thm/realax/NADD_RDISTRIB_'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_odd_0' 'hl/thm/nums/ZERO_DEF_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_pos_r'#@#variant 'hl/thm/real/REAL_LE_DIV2_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_total' 'hl/thm/real/REAL_LT_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_nonneg_cancel_r'#@#variant 'hl/thm/real/REAL_LE_MUL_EQ_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_nlt_ge' 'hl/thm/Library/analysis/real_le_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_null'#@#variant 'hl/thm/int/INT_SGN_EQ_2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_lt_mono_r' 'hl/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_ge_cases' 'hl/thm/int/INT_LET_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_lub_iff' 'hl/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_Arith_Max_max_0_l' 'hl/thm/realax/REAL_ADD_LID_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_max_lub_iff' 'hl/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_2' 'hl/thm/realax/REAL_INV_0_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_1_l'#@#variant 'hl/thm/realax/REAL_ADD_LID_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_add_cancel_r' 'hl/thm/Complex/cpoly/POLY_DIVIDES_SUB_'#@#variant
0. 'coq/Coq_ZArith_Zlogarithm_log_inf_correct2/0' 'hl/thm/Complex/complex_transc/COMPLEX_NORM_GE_RE_IM_/0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_lxor_r' 'hl/thm/calc_int/REAL_MUL_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_0_discr' 'hl/thm/arith/FACT_NZ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sub_diag' 'hl/thm/arith/SUB_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_xO_pred_double' 'hl/thm/calc_num/ARITH_17'
0. 'coq/Coq_Reals_Rpower_exp_increasing' 'hl/thm/arith/FACT_MONO_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_le_mono_pos_r'#@#variant 'hl/thm/int/INT_LT_RMUL_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_neq_0_succ' 'hl/thm/nums/IND_SUC_0_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_sub_l' 'hl/thm/Library/analysis/SUB_LESS_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_abs' 'hl/thm/real/REAL_SGN_'
0. 'coq/Coq_ZArith_BinInt_Z_abs_0_iff' 'hl/thm/real/REAL_SGN_INEQS_9'#@#variant
0. 'coq/Coq_Init_Peano_le_pred' 'hl/thm/arith/FACT_MONO_'
0. 'coq/Coq_ZArith_BinInt_Z_le_0_sub'#@#variant 'hl/thm/int/INT_SUB_LE_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zplus_lt_compat_l' 'hl/thm/realax/NADD_LE_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_pos'#@#variant 'hl/thm/Multivariate/vectors/SQRT_LT_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_refl' 'hl/thm/Library/integer/INT_DIVIDES_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_Zpos' 'hl/thm/int/int_gt_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_cancel_l' 'hl/thm/int/INT_EQ_ADD_LCANCEL_'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_iff' 'hl/thm/Multivariate/vectors/DROP_EQ_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_refl' 'hl/thm/Library/integer/INT_DIVIDES_REFL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_double_mul' 'hl/thm/real/REAL_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_0_l' 'hl/thm/int/INT_ADD_LID_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_gt_cases' 'hl/thm/real/REAL_NOT_EQ_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_pred_succ' 'hl/thm/arith/PRE_1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_pos'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_POS_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_double'#@#variant 'hl/thm/Library/transc/LN_INV_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_eq_0_gt_0_cases'#@#variant 'hl/thm/arith/LE_1_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_lt_mono_nonneg'#@#variant 'hl/thm/Library/analysis/REAL_LT_MUL2_ALT_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_log2_lt_lin'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_pos_cancel_l'#@#variant 'hl/thm/int/INT_LT_MUL_EQ_0'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_1_succ' 'hl/thm/Multivariate/transcendentals/ATN_BOUNDS_/0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_neq' 'hl/thm/realarith/REAL_LT_LE_'
0. 'coq/Coq_NArith_BinNat_N_log2_up_double'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_pos'#@#variant 'hl/thm/Library/transc/ATN_POS_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_sub_eq_r' 'hl/thm/Library/prime/ADD_IMP_SUB_'
0. 'coq/Coq_Bool_Bool_xorb_nilpotent' 'hl/thm/arith/SUB_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_succ_l' 'hl/thm/int/INT_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_shuffle3' 'hl/thm/real/REAL_MUL_AC_2'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_gcd_divide_r' 'hl/thm/Library/prime/INDEX_TRIVIAL_BOUND_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_irrefl' 'hl/thm/realarith/REAL_LT_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftr_div_pow2'#@#variant 'hl/thm/realax/real_sub_'
0. 'coq/Coq_ZArith_BinInt_Z_min_glb' 'hl/thm/Library/integer/INT_DIVIDES_SUB_'
0. 'coq/Coq_ZArith_BinInt_Z_max_le_compat_l' 'hl/thm/realax/TREAL_LE_LADD_IMP_'#@#variant
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_double'#@#variant 'hl/thm/int/int_sgn_th_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_ge_cases' 'hl/thm/realax/HREAL_LE_TOTAL_'
0. 'coq/Coq_ZArith_BinInt_Z2Pos_inj_pred'#@#variant 'hl/thm/Multivariate/complexes/CSQRT_CX_'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_le' 'hl/thm/realax/TREAL_OF_NUM_LE_'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_id' 'hl/thm/Library/floor/INT_OF_REAL_OF_INT_'
0. 'coq/Coq_ZArith_BinInt_Z_mul_opp_opp' 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_MUL2_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_refl' 'hl/thm/realax/TREAL_EQ_REFL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_succ_inj_wd' 'hl/thm/Library/prime/CANCEL_TIMES2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_shuffle3' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_AC_2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_inj_wd' 'hl/thm/calc_num/ARITH_54'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lcm_eq_0' 'hl/thm/int/INT_ENTIRE_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_mod' 'hl/thm/arith/MOD_MULT_MOD2_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sub_diag' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_REFL_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_0' 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lcm_divide_iff' 'hl/thm/real/REAL_MAX_LT_'
0. 'coq/Coq_NArith_BinNat_N_pow_inj_l' 'hl/thm/real/REAL_EQ_RCANCEL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_lt_mono_r_iff'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LE_EQ_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zlt_le_succ' 'hl/thm/Library/analysis/LESS_OR_'
0. 'coq/Coq_ZArith_Znat_Z2Nat_id'#@#variant 'hl/thm/Library/floor/REAL_OF_INT_OF_REAL_'
0. 'coq/Coq_Reals_Rbasic_fun_Rmax_l' 'hl/thm/int/INT_MAX_MAX_/0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sub_le_mono_r' 'hl/thm/Library/analysis/LESS_MONO_ADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_min_lt_iff' 'hl/thm/real/REAL_MIN_LT_'
0. 'coq/Coq_ZArith_Zdiv_Z_div_mult_full' 'hl/thm/Complex/complexnumbers/COMPLEX_DIV_RMUL_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Zminus_diag_reverse' 'hl/thm/arith/SUB_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lcm_1_l'#@#variant 'hl/thm/realax/REAL_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_pow' 'hl/thm/int/INT_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_glb_lt' 'hl/thm/Complex/cpoly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_refl' 'hl/thm/realax/NADD_LE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lxor_m1_r'#@#variant 'hl/thm/arith/ADD1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_opp_r' 'hl/thm/int/INT_NEG_RMUL_'
0. 'coq/Coq_NArith_BinNat_N_gcd_0_l' 'hl/thm/realax/REAL_MUL_LID_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sub_cancel_l' 'hl/thm/calc_int/REAL_EQ_ADD_LCANCEL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_nonneg'#@#variant 'hl/thm/real/REAL_NEG_GE0_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pos_pred_succ' 'hl/thm/int/int_abstr_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_lt_lin'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_refl' 'hl/thm/realax/TREAL_EQ_REFL_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mod_1_r'#@#variant 'hl/thm/Library/prime/INDEX_1_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_ge_cases' 'hl/thm/arith/LE_CASES_'
0. 'coq/Coq_Reals_Rfunctions_Rpow_mult_distr' 'hl/thm/Complex/complexnumbers/COMPLEX_POW_DIV_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_2_r'#@#variant 'hl/thm/arith/EXP_2_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_even_opp' 'hl/thm/Multivariate/complexes/RE_CNJ_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_Nbasic_plusnS' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RNEG_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_pos_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_POS_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pred_succ' 'hl/thm/Multivariate/transcendentals/CSIN_CASN_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_pos'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_POS_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_log2_pos'#@#variant 'hl/thm/Library/transc/LN_POS_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pow_0_r'#@#variant 'hl/thm/arith/MOD_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_even_0' 'hl/thm/Multivariate/complexes/IM_II_'#@#variant
0. 'coq/Coq_ZArith_Zpower_two_power_pos_nat' 'hl/thm/int/int_of_num_th_'
0. 'coq/Coq_ZArith_BinInt_Z_max_le_compat_r' 'hl/thm/Library/integer/INT_DIVIDES_MUL_R_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_pred_l' 'hl/thm/Multivariate/transcendentals/REAL_INV_RPOW_'
0. 'coq/Coq_Reals_RIneq_Rnot_gt_ge' 'hl/thm/arith/LTE_CASES_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_gt_lt_iff' 'hl/thm/realax/real_gt_'
0. 'coq/Coq_NArith_BinNat_N_div2_double' 'hl/thm/Multivariate/transcendentals/ATN_TAN_'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_pred' 'hl/thm/Multivariate/transcendentals/CX_EXP_'#@#variant
0. 'coq/Coq_Reals_Rpower_exp_Ropp' 'hl/thm/Library/transc/REAL_EXP_NEG_'
0. 'coq/Coq_ZArith_BinInt_Z_divide_Zpos' 'hl/thm/int/int_gt_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_1' 'hl/thm/arith/PRE_0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ldiff_m1_l'#@#variant 'hl/thm/realarith/REAL_POLY_NEG_CLAUSES_0'#@#variant
0. 'coq/Coq_Reals_Rtrigo_def_sin_antisym' 'hl/thm/Library/transc/TAN_NEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_lt_mono_r'#@#variant 'hl/thm/Library/analysis/REAL_LT_LMUL_IMP_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_glb_lt_iff' 'hl/thm/int/INT_LT_MIN_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sub_add_distr' 'hl/thm/arith/EXP_MULT_'
0. 'coq/Coq_Reals_RIneq_IZR_lt' 'hl/thm/Library/calc_real/REAL_MONO_POW2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_divide_mono_r' 'hl/thm/Library/prime/DIVIDES_EXP_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_land_lnot_diag' 'hl/thm/calc_int/REAL_ADD_RINV_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_nle' 'hl/thm/arith/NOT_LE_'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_pos_nonneg'#@#variant 'hl/thm/int/INT_LTE_ADD_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_divide_mono_l' 'hl/thm/int/INT_LE_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_add_lt_sub_r' 'hl/thm/real/REAL_LT_ADD_SUB_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_divide_mono_l' 'hl/thm/real/REAL_LT_LADD_IMP_'
0. 'coq/Coq_QArith_QOrderedType_QOrder_eq_refl' 'hl/thm/Library/prime/DIVIDES_REFL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_nlt_ge' 'hl/thm/int/INT_NOT_LT_'
0. 'coq/Coq_ZArith_BinInt_Z_max_id' 'hl/thm/real/REAL_MIN_ACI_3'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_nonneg' 'hl/thm/Multivariate/transcendentals/ATN_BOUNDS_/0'#@#variant
0. 'coq/Coq_Reals_R_Ifp_base_fp/1' 'hl/thm/calc_num/ARITH_93'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_lt_mono_nonneg'#@#variant 'hl/thm/Library/analysis/REAL_LT_MUL2_ALT_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_min_lt_iff' 'hl/thm/real/REAL_MIN_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_eq_0' 'hl/thm/arith/MULT_EQ_0_'#@#variant
0. 'coq/Coq_Reals_R_Ifp_base_fp/0' 'hl/thm/calc_num/ARITH_93'
0. 'coq/Coq_QArith_Qminmax_Q_min_max_distr' 'hl/thm/realax/NADD_LDISTRIB_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_opp_r' 'hl/thm/Library/integer/INT_DIVIDES_RABS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_max_r' 'hl/thm/int/INT_MAX_MAX_/1'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_le_mono_r' 'hl/thm/realax/HREAL_LE_ADD_RCANCEL_'
0. 'coq/Coq_Reals_Rfunctions_pow_lt'#@#variant 'hl/thm/Library/floor/INTEGER_CLOSED_4'
0. 'coq/Coq_Reals_Rpower_arcsinh_sinh' 'hl/thm/Multivariate/transcendentals/CCOS_CACS_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_max_le_iff' 'hl/thm/real/REAL_LT_MAX_'
0. 'coq/Coq_NArith_BinNat_N_add_lt_mono_r' 'hl/thm/realax/HREAL_LE_ADD_RCANCEL_'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_succ' 'hl/thm/Multivariate/complexes/IM_CNJ_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lcm_comm' 'hl/thm/realax/NADD_ADD_SYM_'
0. 'coq/Coq_NArith_BinNat_N_divide_refl' 'hl/thm/realax/NADD_EQ_REFL_'
0. 'coq/Coq_PArith_BinPos_Pos_mul_lt_mono_l' 'hl/thm/arith/LT_ADD_LCANCEL_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_le_min_r' 'hl/thm/int/INT_MIN_MIN_/1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_max_distr' 'hl/thm/Complex/complex_transc/CEXP_SUB_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_eq_cases' 'hl/thm/realarith/REAL_LE_LT_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_sub_diag' 'hl/thm/arith/SUB_REFL_'#@#variant
0. 'coq/Coq_Strings_Ascii_ascii_nat_embedding' 'hl/thm/Library/floor/INT_OF_REAL_OF_INT_'
0. 'coq/Coq_ZArith_Zorder_Zplus_le_compat_r' 'hl/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_le_mono_r' 'hl/thm/real/REAL_LT_RADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_1_l' 'hl/thm/arith/ADD_CLAUSES_0'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_le_iff' 'hl/thm/real/REAL_MIN_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lcm_0_r' 'hl/thm/realax/HREAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_abs_pow' 'hl/thm/Multivariate/transcendentals/REAL_INV_RPOW_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_pred_succ' 'hl/thm/Library/transc/ATN_TAN_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mod_le' 'hl/thm/arith/DIV_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_0_iff' 'hl/thm/int/INT_SGN_INEQS_4'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_T_OMEGA15_stable' 'hl/thm/Library/multiplicative/MULTIPLICATIVE_TAU_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_pos_cancel_r'#@#variant 'hl/thm/Library/floor/INTEGER_ADD_EQ_1'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_succ_l' 'hl/thm/int/INT_NEG_LMUL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_lt_succ_r' 'hl/thm/Library/analysis/LESS_SUC_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_glb' 'hl/thm/Library/prime/DIVIDES_SUB_'
0. 'coq/Coq_ZArith_Zcomplements_floor_gt0' 'hl/thm/Multivariate/transcendentals/ARG_/1'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qmult_le_r'#@#variant 'hl/thm/int/INT_LT_RMUL_EQ_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_lt_le_mono' 'hl/thm/arith/LTE_ADD2_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lor_0_l' 'hl/thm/arith/ADD_CLAUSES_0'#@#variant
0. 'coq/Coq_NArith_BinNat_N_shiftl_mul_pow2'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_RNEG_'
0. 'coq/Coq_NArith_BinNat_N_lnot_0_l' 'hl/thm/realarith/REAL_POLY_NEG_CLAUSES_0'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_div2' 'hl/thm/Multivariate/transcendentals/CX_EXP_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lcm_1_l'#@#variant 'hl/thm/realarith/REAL_POLY_NEG_CLAUSES_0'#@#variant
0. 'coq/Coq_Reals_Rprod_le_n_2n'#@#variant 'hl/thm/real/REAL_ABS_LE_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_simpl_r' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_ADD_'
0. 'coq/Coq_QArith_QArith_base_Qle_refl' 'hl/thm/int/INT_LE_REFL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_square_spec' 'hl/thm/Library/analysis/REAL_DOUBLE_'#@#variant
0. 'coq/Coq_Bool_Bool_andb_true_iff' 'hl/thm/arith/MULT_EQ_1_'#@#variant
0. 'coq/Coq_Reals_R_sqr_Rsqr_inv' 'hl/thm/Library/analysis/REAL_NEG_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_0_l' 'hl/thm/int/INT_ADD_LID_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_sgn' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_INV_'
0. 'coq/Coq_NArith_BinNat_N_lt_nge' 'hl/thm/real/REAL_NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_ge_cases' 'hl/thm/arith/LTE_CASES_'
0. 'coq/Coq_Reals_Rtrigo1_sin_neg' 'hl/thm/int/INT_ABS_SGN_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pred_div2_up' 'hl/thm/Complex/complex_transc/CX_CSIN_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_div2_double'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_TAN_'
0. 'coq/Coq_ZArith_BinInt_Z_abs_pow' 'hl/thm/Multivariate/transcendentals/RPOW_INV_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_land_0_r' 'hl/thm/calc_int/REAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_le_lin'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_LT_X_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_opp_opp' 'hl/thm/int/INT_NEG_MUL2_'
0. 'coq/Coq_QArith_QArith_base_Qmult_comm' 'hl/thm/realax/TREAL_MUL_SYM_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_clearbit_spec_prime'#@#variant 'hl/thm/real/REAL_SUB_RNEG_'
0. 'coq/Coq_Reals_RList_RList_P1' 'hl/thm/real/REAL_POW_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_1_r'#@#variant 'hl/thm/arith/ADD1_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_irrefl' 'hl/thm/realarith/REAL_LT_REFL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_pow2'#@#variant 'hl/thm/Library/transc/EXP_LN_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_lt_mono_l' 'hl/thm/arith/EXP_MONO_LT_IMP_'#@#variant
0. 'coq/Coq_QArith_Qcanon_canon' 'hl/thm/int/INT_ABS_NUM_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lnot_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_LZERO_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sqrt_le_mono' 'hl/thm/realax/TREAL_INV_WELLDEF_'#@#variant
0. 'coq/Coq_Reals_RIneq_IZR_le' 'hl/thm/Library/calc_real/REAL_MONO_POW2_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_nlt' 'hl/thm/realarith/REAL_NOT_LT_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_xO_r' 'hl/thm/arith/ADD_SUC_'
0. 'coq/Coq_ZArith_Zorder_Zsucc_le_compat' 'hl/thm/Library/transc/ATN_MONO_LT_'
0. 'coq/Coq_ZArith_BinInt_Z_sgn_nonneg'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_POS_LE_'#@#variant
0. 'coq/Coq_FSets_FSetPositive_PositiveSet_E_bits_lt_antirefl' 'hl/thm/arith/LT_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftl_shiftl' 'hl/thm/arith/EXP_MULT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_mul_below' 'hl/thm/real/REAL_SUB_ABS_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_refl' 'hl/thm/realax/NADD_EQ_REFL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_le_mono_l' 'hl/thm/real/REAL_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_mod' 'hl/thm/arith/MOD_MULT_MOD2_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_gcd_greatest' 'hl/thm/Library/prime/DIVIDES_ADD_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_le_compat_r' 'hl/thm/Library/analysis/LESS_MONO_ADD_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mod_same' 'hl/thm/arith/MOD_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_pos'#@#variant 'hl/thm/Multivariate/transcendentals/ATN_POS_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_le_mono_l_iff' 'hl/thm/Library/integer/INT_DIVIDES_RMUL2_EQ_'#@#variant
0. 'coq/Coq_ZArith_Zdiv_Zdiv_opp_opp' 'hl/thm/real/REAL_NEG_MUL2_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_lt_mono_r'#@#variant 'hl/thm/real/REAL_LT_LMUL_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_le_mono' 'hl/thm/arith/FACT_MONO_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_le_iff' 'hl/thm/int/INT_MIN_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_1_r'#@#variant 'hl/thm/calc_int/REAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_MMaps_MMapPositive_PositiveMap_lt_rev_append' 'hl/thm/Library/prime/DIVIDES_MUL_L_'
0. 'coq/Coq_ZArith_BinInt_Zopp_mult_distr_r' 'hl/thm/arith/ADD_SUC_'
0. 'coq/Coq_ZArith_Zeven_Zodd_plus_Zeven' 'hl/thm/int/INT_LTE_ADD_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qnot_lt_le' 'hl/thm/arith/LTE_CASES_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_lt_mono'#@#variant 'hl/thm/Library/analysis/REAL_LT_MUL2_ALT_'#@#variant
0. 'coq/Coq_Reals_Ranalysis1_continuity_minus' 'hl/thm/iterate/POLYNOMIAL_FUNCTION_o_'#@#variant
0. 'coq/Coq_Numbers_Cyclic_ZModulo_ZModulo_Ptail_pos'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_POS_'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qle_refl' 'hl/thm/Multivariate/misc/GE_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_pos'#@#variant 'hl/thm/Library/pocklington/PHI_LOWERBOUND_1_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_succ_pred' 'hl/thm/Library/transc/ATN_/2'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_inj_wd' 'hl/thm/real/REAL_EQ_NEG2_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div2_double' 'hl/thm/Multivariate/transcendentals/CSIN_CASN_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_null'#@#variant 'hl/thm/int/INT_SGN_EQ_2'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_lt_mono_r' 'hl/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_ZArith_Zorder_Zle_0_pos'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_POS_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_1_l' 'hl/thm/realax/NADD_LE_0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_lt_mono_pos_r'#@#variant 'hl/thm/real/REAL_LE_RMUL_EQ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_1_l'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_LZERO_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_min_id' 'hl/thm/int/INT_MAX_ACI_3'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_glb' 'hl/thm/Library/prime/DIVIDES_SUB_'
0. 'coq/Coq_ZArith_BinInt_Z_div_mod' 'hl/thm/arith/DIVISION_SIMP_1'#@#variant
0. 'coq/Coq_ZArith_Znumtheory_rel_prime_mult' 'hl/thm/Library/integer/INT_DIVIDES_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_lt_iff' 'hl/thm/real/REAL_MIN_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_lt_lin'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_LT_X_'#@#variant
0. 'coq/Coq_ZArith_Znat_Zabs2N_inj_0' 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_setbit_spec_prime'#@#variant 'hl/thm/realax/real_div_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_clearbit_spec_prime'#@#variant 'hl/thm/realax/real_sub_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_lt_mono_pos_r'#@#variant 'hl/thm/int/INT_LT_RMUL_EQ_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lor_eq_0_iff' 'hl/thm/arith/MULT_EQ_1_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_div2_nonneg' 'hl/thm/calc_num/ARITH_80'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_alt_dichotomy' 'hl/thm/realax/REAL_LE_TOTAL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_succ_r' 'hl/thm/arith/ADD_SUC_'
0. 'coq/Coq_ZArith_Znat_Z2N_inj_div2' 'hl/thm/Multivariate/transcendentals/CX_SIN_'#@#variant
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_double'#@#variant 'hl/thm/Multivariate/complexes/IM_CNJ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_abs_l' 'hl/thm/Library/integer/INT_DIVIDES_LABS_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_double'#@#variant 'hl/thm/Library/transc/LN_INV_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_power_pos' 'hl/thm/Library/floor/INTEGER_POW_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_greatest' 'hl/thm/Library/prime/DIVIDES_SUB_'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tmult_assoc_r_stable' 'hl/thm/Library/multiplicative/MULTIPLICATIVE_SIGMA_'
0. 'coq/Coq_NArith_BinNat_N_le_gt_cases' 'hl/thm/int/INT_LTE_TOTAL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_nle' 'hl/thm/int/INT_LT_'
0. 'coq/Coq_QArith_Qabs_Qabs_wd' 'hl/thm/Library/transc/ATN_MONO_LT_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_lub_iff' 'hl/thm/real/REAL_MAX_LT_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_divide_mono_l' 'hl/thm/realax/NADD_LE_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_max_r' 'hl/thm/arith/LE_ADDR_'
0. 'coq/Coq_ZArith_BinInt_Z_div2_neg' 'hl/thm/int/INT_SGN_INEQS_7'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_1'#@#variant 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_gcd_greatest' 'hl/thm/Library/integer/INT_DIVIDES_ADD_'
0. 'coq/Coq_ZArith_Zdiv_Zdiv_0_r' 'hl/thm/calc_int/REAL_MUL_RZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_le_compat_l' 'hl/thm/realax/NADD_MUL_WELLDEF_LEMMA_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_inj_wd' 'hl/thm/calc_num/ARITH_48'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_setbit_spec_prime'#@#variant 'hl/thm/Complex/complexnumbers/complex_sub_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_refl' 'hl/thm/int/INT_LE_REFL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_nonneg_l'#@#variant 'hl/thm/Library/analysis/REAL_LT_LMUL_IMP_'#@#variant
0. 'coq/Coq_QArith_QOrderedType_QOrder_not_gt_le' 'hl/thm/arith/LTE_CASES_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_move_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_RNEG_UNIQ_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_log2_le_mono' 'hl/thm/Library/transc/REAL_EXP_MONO_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_land_m1_l'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_lxor_r' 'hl/thm/calc_int/REAL_MUL_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lxor_eq_0_iff' 'hl/thm/realarith/REAL_SUB_0_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_le_mono_r'#@#variant 'hl/thm/Library/analysis/REAL_LT_LMUL_IMP_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_divide_iff' 'hl/thm/real/REAL_LT_MIN_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_1_l'#@#variant 'hl/thm/int/INT_ADD_LID_'#@#variant
0. 'coq/Coq_NArith_Nnat_Nat2N_inj_succ' 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_INV_'
0. 'coq/Coq_Arith_PeanoNat_Nat_min_glb_lt' 'hl/thm/Library/integer/INT_DIVIDES_ADD_'
0. 'coq/Coq_ZArith_BinInt_Z_pred_succ' 'hl/thm/Library/transc/LN_EXP_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lor_0_l' 'hl/thm/int/INT_ADD_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_min_l' 'hl/thm/Library/analysis/SUB_LESS_EQ_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_le_mono_r' 'hl/thm/arith/LE_ADD_RCANCEL_'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_divide_mono_r' 'hl/thm/arith/EXP_MONO_LE_IMP_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_pos_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_POS_LE_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_ngt' 'hl/thm/realarith/REAL_NOT_LT_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_sub_succ_r' 'hl/thm/arith/SUB_1'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_eq_add_0' 'hl/thm/arith/MULT_EQ_1_'#@#variant
0. 'coq/Coq_Arith_Mult_mult_le_compat_r' 'hl/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_pos'#@#variant 'hl/thm/Multivariate/transcendentals/LOG_POS_LT_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_Zpos' 'hl/thm/int/int_gt_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_pos'#@#variant 'hl/thm/Library/transc/LN_POS_LT_'#@#variant
0. 'coq/Coq_Reals_Exp_prop_div2_double'#@#variant 'hl/thm/Multivariate/transcendentals/CCOS_CACS_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_2' 'hl/thm/Library/transc/ATN_0_'
0. 'coq/Coq_QArith_QArith_base_Qmult_lt_r'#@#variant 'hl/thm/real/REAL_LT_DIV2_EQ_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_le_mono_r' 'hl/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_pos'#@#variant 'hl/thm/Library/pocklington/EVEN_PHI_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_1_l' 'hl/thm/int/INT_MUL_LID_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rge_not_gt' 'hl/thm/arith/LTE_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_land_0_r' 'hl/thm/int/INT_MUL_RZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lxor_0_l' 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_opp' 'hl/thm/Multivariate/complexes/IM_CNJ_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pow_le_mono_l' 'hl/thm/Library/prime/LESS_MONO_ADD_'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_le_mono_l' 'hl/thm/Library/prime/DIVIDES_EXP_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_xI_succ_xO' 'hl/thm/calc_num/ARITH_9'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_max' 'hl/thm/real/REAL_SGN_'
0. 'coq/Coq_ZArith_BinInt_Z_odd_1'#@#variant 'hl/thm/Multivariate/complexes/IM_II_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_lt_mono_r' 'hl/thm/int/INT_LE_RADD_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_lub_iff' 'hl/thm/int/INT_MAX_LE_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_ge_cases' 'hl/thm/int/INT_LET_TOTAL_'
0. 'coq/Coq_PArith_BinPos_Pos_sub_diag' 'hl/thm/real/REAL_SUB_REFL_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_le_compat_l' 'hl/thm/int/INT_LE_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_neq' 'hl/thm/realarith/REAL_LT_LE_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_le_compat_l' 'hl/thm/realax/TREAL_LE_LADD_IMP_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_asymm' 'hl/thm/real/REAL_LT_ANTISYM_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_lt_mono_l' 'hl/thm/int/INT_LT_LADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_divide_r' 'hl/thm/Library/prime/INDEX_TRIVIAL_BOUND_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_opp' 'hl/thm/Multivariate/transcendentals/CNJ_CSIN_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_divide_add_r' 'hl/thm/Complex/cpoly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_succ_diag_r' 'hl/thm/int/INT_ABS_LE_'
0. 'coq/Coq_ZArith_BinInt_Z_le_ngt' 'hl/thm/arith/NOT_LE_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_min_l' 'hl/thm/int/INT_MIN_MIN_/0'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj_pred' 'hl/thm/int/int_sgn_th_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lcm_divide_iff' 'hl/thm/int/INT_MAX_LT_'
0. 'coq/Coq_Reals_Rtrigo1_sin_lb_gt_0'#@#variant 'hl/thm/Multivariate/transcendentals/TAN_POS_PI2_LE_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_le_mono' 'hl/thm/Multivariate/transcendentals/ATN_MONO_LT_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_glb_iff' 'hl/thm/int/INT_LT_MIN_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_ge_cases' 'hl/thm/realax/HREAL_LE_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lcm_0_r' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RZERO_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_shuffle3' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_AC_2'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_succ_diag_r' 'hl/thm/Library/analysis/LESS_EQ_SUC_REFL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_succ_l' 'hl/thm/calc_int/REAL_MUL_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_quot_le_mono'#@#variant 'hl/thm/int/INT_LE_RMUL_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_min_le_iff' 'hl/thm/real/REAL_MIN_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_le_incl' 'hl/thm/int/INT_LT_IMP_LE_'
0. 'coq/Coq_Reals_Cos_plus_cos_plus' 'hl/thm/Library/transc/COS_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_inj_wd' 'hl/thm/calc_num/ARITH_54'
0. 'coq/Coq_QArith_QArith_base_Qeq_refl' 'hl/thm/int/INT_LE_REFL_'
0. 'coq/Coq_PArith_BinPos_Pos_max_id' 'hl/thm/int/INT_MAX_ACI_3'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_T_OMEGA13_stable' 'hl/thm/Library/multiplicative/MULTIPLICATIVE_SIGMA_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_le_mono_r' 'hl/thm/real/REAL_LE_RADD_'
0. 'coq/Coq_QArith_Qcanon_Qcnot_le_lt' 'hl/thm/realarith/REAL_LET_TOTAL_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lcm_divide_iff' 'hl/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_ZArith_BinInt_Z_lxor_0_l' 'hl/thm/realax/REAL_MUL_LID_'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_is_pos'#@#variant 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_POS_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_succ_r' 'hl/thm/calc_int/REAL_MUL_RNEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_le_mono' 'hl/thm/Library/transc/ATN_MONO_LT_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_nlt_ge' 'hl/thm/int/INT_NOT_LT_'
0. 'coq/Coq_NArith_BinNat_N_div_mul' 'hl/thm/real/REAL_DIV_RMUL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_lt_mono_r_iff'#@#variant 'hl/thm/real/REAL_LT_LMUL_EQ_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_mod_idemp_l' 'hl/thm/arith/MOD_EXP_MOD_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_sub_diag' 'hl/thm/real/REAL_SUB_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_odd_0' 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_opp_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LNEG_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_succ_diag_r' 'hl/thm/arith/LT_POW2_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_succ_l' 'hl/thm/arith/ADD_CLAUSES_2'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_refl' 'hl/thm/realax/NADD_LE_REFL_'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_lt_iff' 'hl/thm/real/REAL_MIN_LE_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_sub_l' 'hl/thm/real/REAL_MIN_MIN_/0'
0. 'coq/Coq_PArith_BinPos_Pos_mul_cancel_l' 'hl/thm/realax/HREAL_EQ_ADD_LCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pred_succ' 'hl/thm/Library/transc/ATN_TAN_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_refl' 'hl/thm/realax/TREAL_EQ_REFL_'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_log2' 'hl/thm/Multivariate/transcendentals/CX_COS_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_add_lt_sub_r' 'hl/thm/Library/analysis/SUB_LEFT_GREATER_EQ_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_succ' 'hl/thm/Multivariate/transcendentals/LOG_EXP_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_sub_le_add_r' 'hl/thm/real/REAL_LT_ADD_SUB_'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_le_pred' 'hl/thm/Library/analysis/LESS_EQ_IMP_LESS_SUC_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_lt_iff' 'hl/thm/real/REAL_MIN_LT_'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_le_compat_l' 'hl/thm/real/REAL_LT_LADD_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_pred_l' 'hl/thm/int/INT_NEG_LMUL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_0_iff' 'hl/thm/int/INT_SGN_INEQS_9'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lxor_0_l' 'hl/thm/int/INT_MUL_LID_'#@#variant
0. 'coq/Coq_NArith_BinNat_N_gcd_0_l' 'hl/thm/arith/ADD_CLAUSES_0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_refl' 'hl/thm/realax/TREAL_LE_REFL_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_le_compat_r' 'hl/thm/Library/prime/DIVIDES_EXP_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_nle_gt' 'hl/thm/realarith/REAL_NOT_LT_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_0_r' 'hl/thm/arith/LE_0'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_cancel_r' 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_ADD_RCANCEL_'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lnot_0_l' 'hl/thm/int/INT_SUB_LZERO_'#@#variant
0. 'coq/Coq_ZArith_Znat_Z2Nat_inj_pred' 'hl/thm/Multivariate/complexes/IM_CNJ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_le_compat_r' 'hl/thm/realax/HREAL_LE_MUL_RCANCEL_IMP_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_le_lt_mono' 'hl/thm/int/INT_LET_ADD2_'
0. 'coq/Coq_Bool_Bool_xorb_nilpotent' 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_REFL_'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_min_glb' 'hl/thm/Library/integer/INT_DIVIDES_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_divide_mono_l' 'hl/thm/realax/NADD_MUL_WELLDEF_LEMMA_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_refl' 'hl/thm/Library/integer/INT_DIVIDES_REFL_'
0. 'coq/Coq_ZArith_BinInt_Z_log2_le_mono' 'hl/thm/arith/FACT_MONO_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_pos'#@#variant 'hl/thm/Library/floor/FLOOR_POS_LE_'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_square' 'hl/thm/Multivariate/complexes/IM_CNJ_'#@#variant
0. 'coq/Coq_Reals_Rpower_exp_le_3'#@#variant 'hl/thm/Library/calc_real/REAL_EXP_13_'#@#variant
0. 'coq/Coq_ZArith_Zlogarithm_log_near_correct1'#@#variant 'hl/thm/Multivariate/transcendentals/ARG_/0'#@#variant
0. 'coq/Coq_ZArith_Znat_Zabs_N_nat' 'hl/thm/int/int_of_num_th_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_land_0_r' 'hl/thm/arith/MULT_0_'#@#variant
0. 'coq/Coq_Reals_RIneq_Rgt_not_ge' 'hl/thm/int/INT_LET_ANTISYM_'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_1' 'hl/thm/Library/pocklington/PHI_0_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ge_le_iff' 'hl/thm/realax/real_gt_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_nonneg'#@#variant 'hl/thm/Library/analysis/REAL_LE_MUL2V_'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zle_not_lt' 'hl/thm/int/INT_LTE_ANTISYM_'
0. 'coq/Coq_Reals_Rminmax_R_max_le_compat_l' 'hl/thm/realax/NADD_MUL_WELLDEF_LEMMA_'
0. 'coq/Coq_ZArith_BinInt_Z_sub_opp_r' 'hl/thm/Complex/complexnumbers/complex_div_'
0. 'coq/Coq_NArith_Ndist_ni_min_idemp' 'hl/thm/real/REAL_MIN_ACI_3'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_1_l'#@#variant 'hl/thm/arith/LE_0_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_Zabs' 'hl/thm/Complex/complex_transc/CX_CSIN_'
0. 'coq/Coq_Reals_SeqProp_CV_plus' 'hl/thm/Library/analysis/SER_SUB_'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_gcd_assoc' 'hl/thm/realax/TREAL_MUL_ASSOC_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_succ_r' 'hl/thm/real/REAL_NEG_RMUL_'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_lub_lt_iff' 'hl/thm/real/REAL_MAX_LE_'
0. 'coq/Coq_ZArith_BinInt_Z_log2_pos'#@#variant 'hl/thm/Multivariate/transcendentals/REAL_EXP_LT_1_'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_divide_add_cancel_l' 'hl/thm/Library/prime/DIVIDES_ADD_REVL_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_neg_iff'#@#variant 'hl/thm/int/INT_SGN_EQ_1'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_factor_r' 'hl/thm/int/INT_MAX_MAX_/1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_le_mono_r' 'hl/thm/realax/HREAL_LE_ADD_RCANCEL_'
0. 'coq/Coq_ZArith_BinInt_Z_opp_max_distr' 'hl/thm/Multivariate/transcendentals/REAL_EXP_ADD_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_pos'#@#variant 'hl/thm/Library/integer/INT_PRIME_NEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_double_mul' 'hl/thm/Multivariate/transcendentals/RPOW_INV_'
0. 'coq/Coq_Reals_RIneq_Rmult_le_compat_r'#@#variant 'hl/thm/real/REAL_LE_RMUL_'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_oppc' 'hl/thm/Multivariate/complexes/CX_INV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_le_compat_r' 'hl/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_nonpos' 'hl/thm/real/REAL_SGN_INEQS_6'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_pos'#@#variant 'hl/thm/calc_num/ARITH_44'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_opp' 'hl/thm/Multivariate/transcendentals/CX_TAN_'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_gt' 'hl/thm/realax/TREAL_OF_NUM_LE_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_ldiff_diag' 'hl/thm/real/REAL_SUB_REFL_'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rmax_r' 'hl/thm/real/REAL_MAX_MAX_/1'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_le_mono_r' 'hl/thm/arith/LE_ADD_RCANCEL_'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj_iff' 'hl/thm/Multivariate/vectors/DROP_EQ_'#@#variant
0. 'coq/Coq_ZArith_Zsqrt_compat_Zsqrt_plain_is_pos'#@#variant 'hl/thm/Library/floor/RATIONAL_ABS_'
0. 'coq/Coq_PArith_BinPos_Pos_le_refl' 'hl/thm/realax/NADD_LE_REFL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_total' 'hl/thm/arith/LT_CASES_'
0. 'coq/Coq_ZArith_Zlogarithm_log_near_correct1'#@#variant 'hl/thm/realarith/REAL_POS_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_2' 'hl/thm/Library/transc/ATN_0_'
0. 'coq/Coq_ZArith_Zeven_Zodd_pred' 'hl/thm/Multivariate/transcendentals/REAL_EXP_LT_1_'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sub_le_mono_r' 'hl/thm/realax/HREAL_LE_MUL_RCANCEL_IMP_'
0. 'coq/Coq_Init_Datatypes_CompOpp_involutive' 'hl/thm/Complex/complexnumbers/COMPLEX_INV_INV_'
0. 'coq/Coq_ZArith_BinInt_Z_sgn_nonneg'#@#variant 'hl/thm/Library/floor/INTEGER_ABS_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_le_compat_l' 'hl/thm/realax/NADD_LE_LMUL_'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_lt_mono'#@#variant 'hl/thm/real/REAL_LE_MUL2_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_le_mono_l' 'hl/thm/arith/EXP_MONO_LE_IMP_'
0. 'coq/Coq_ZArith_Znat_Nat2Z_id' 'hl/thm/int/NUM_OF_INT_OF_NUM_'
0. 'coq/Coq_Reals_RIneq_Ropp_0_ge_le_contravar'#@#variant 'hl/thm/Library/pocklington/PHI_LOWERBOUND_2_'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_nge' 'hl/thm/realax/real_lt_'
0. 'coq/Coq_ZArith_BinInt_Zsucc_pred' 'hl/thm/Multivariate/transcendentals/LOG_EXP_'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_is_pos'#@#variant 'hl/thm/int/INT_POS_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lcm_eq_0' 'hl/thm/real/REAL_DIV_EQ_0_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_cancel_r' 'hl/thm/int/INT_EQ_ADD_RCANCEL_'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pred_div2_up' 'hl/thm/Multivariate/complexes/IM_CNJ_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_shuffle3' 'hl/thm/Multivariate/complexes/COMPLEX_MUL_AC_2'#@#variant
0. 'coq/Coq_Reals_RIneq_Rplus_gt_ge_compat' 'hl/thm/int/INT_LTE_ADD2_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_max_distr' 'hl/thm/Multivariate/transcendentals/REAL_EXP_SUB_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_shuffle3' 'hl/thm/arith/ADD_AC_2'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_quot_rem' 'hl/thm/arith/DIVISION_SIMP_1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_lor' 'hl/thm/Complex/complex_transc/CEXP_ADD_'
0. 'coq/Coq_QArith_QArith_base_Qlt_shift_div_r'#@#variant 'hl/thm/Library/analysis/REAL_LE_LDIV_'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_pred_l' 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LNEG_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_1_r'#@#variant 'hl/thm/Library/prime/INDEX_0_'#@#variant
0. 'coq/Coq_QArith_Qminmax_Q_min_glb' 'hl/thm/Complex/cpoly/POLY_DIVIDES_ADD_'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_gcd_greatest' 'hl/thm/Library/prime/DIVIDES_ADD_'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_opp_opp' 'hl/thm/int/INT_NEG_MUL2_'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_succ_le' 'hl/thm/Library/floor/FLOOR_DOUBLE_/0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_pos_l'#@#variant 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LE_EQ_'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_lcm_r' 'hl/thm/int/INT_MAX_MAX_/1'
