6.09617022101 'coq/Coq_ZArith_Znumtheory_prime_mult' 'mat/divides_times_to_divides'
6.09617022101 'coq/Coq_Lists_List_app_cons_not_nil' 'mat/not_eq_nil_append_cons'
5.56048942543 'coq/Coq_ZArith_Zdiv_Zmod_le'#@#variant 'mat/lt_div_n_m_n'#@#variant
5.09007087279 'coq/Coq_Lists_List_in_nil' 'mat/not_in_list_nil'
5.09007087279 'coq/Coq_Lists_List_app_comm_cons' 'mat/cons_append_commute'
5.09007087279 'coq/Coq_Lists_List_nil_cons' 'mat/nil_cons'
5.09007087279 'coq/Coq_Init_Datatypes_list_ind' 'mat/list_ind'
5.09007087279 'coq/Coq_Bool_Sumbool_bool_eq_ind' 'mat/bool_elim'
5.09007087279 'coq/Coq_Lists_List_in_app_or' 'mat/in_list_append_to_or_in_list'
4.83110059916 'coq/Coq_ZArith_Zsqrt_compat_Zsqrt_le' 'mat/lt_pred'
4.1612835555 'coq/Coq_ZArith_Zsqrt_compat_Zsqrt_le'#@#variant 'mat/lt_pred'#@#variant
4.1612835555 'coq/Coq_Init_Datatypes_comparison_ind' 'mat/compare_ind'
4.03378572969 'coq/Coq_Init_Datatypes_andb_true_intro' 'mat/true_to_true_to_andb_true'
4.03378572969 'coq/Coq_Lists_List_app_nil_r' 'mat/append_nil'
4.03378572969 'coq/Coq_Lists_List_app_nil_end' 'mat/append_nil'
3.93959285483 'coq/Coq_Lists_List_map_ext' 'mat/eq_map'
3.73784965763 'coq/Coq_ZArith_Zorder_Zle_0_minus_le'#@#variant 'mat/lt_O_minus_to_lt'#@#variant
3.73784965763 'coq/Coq_ZArith_Zbool_Zeq_bool_neq' 'mat/eqb_false_to_not_eq'
3.73784965763 'coq/Coq_ZArith_Zorder_Zle_0_minus_le' 'mat/lt_O_minus_to_lt'
3.44174551012 'coq/Coq_ZArith_Zorder_Zle_minus_le_0' 'mat/lt_to_lt_O_minus'
3.12096266663 'coq/Coq_ZArith_Znumtheory_not_prime_0' 'mat/not_prime_O'
3.12096266663 'coq/Coq_ZArith_Znumtheory_not_prime_1'#@#variant 'mat/not_prime_SO'#@#variant
2.87372693634 'coq/Coq_ZArith_Zorder_Zplus_le_reg_r' 'mat/lt_plus_to_lt_l'
2.69520286373 'coq/Coq_ZArith_Zorder_Zle_minus_le_0'#@#variant 'mat/lt_to_lt_O_minus'#@#variant
2.68919048646 'coq/Coq_Init_Datatypes_bool_ind' 'mat/bool_ind'
2.42858100144 'coq/Coq_Bool_Bool_diff_true_false' 'mat/not_eq_true_false'
2.41555029958 'coq/Coq_ZArith_BinInt_Z_pow_2_r'#@#variant 'mat/exp_SSO'#@#variant
2.41555029958 'coq/Coq_Numbers_Cyclic_DoubleCyclic_DoubleSqrt_Zsquare_mult'#@#variant 'mat/exp_SSO'#@#variant
2.36594436217 'coq/Coq_ZArith_BinInt_Z_mod_le'#@#variant 'mat/lt_div'#@#variant
2.33205114271 'coq/Coq_ZArith_BinInt_Zplus_minus_eq' 'mat/plus_to_minus'
2.27456828483 'coq/Coq_ZArith_BinInt_Z_pow_nonneg' 'mat/lt_O_exp'
2.25039214713 'coq/Coq_Bool_Bool_andb_true_eq' 'mat/and_true'
2.25039214713 'coq/Coq_Init_Datatypes_andb_prop' 'mat/and_true'
2.22419577017 'coq/Coq_ZArith_BinInt_Zsucc_eq_compat' 'mat/congr_S'
2.16668894707 'coq/Coq_ZArith_BinInt_Z_mul_le_mono_nonneg_l' 'mat/lt_times_r1'
2.16668894707 'coq/Coq_ZArith_Zorder_Zmult_le_compat_l' 'mat/lt_times_r1'
2.11894389269 'coq/Coq_ZArith_BinInt_Z_divide_0_r' 'mat/divides_n_O'
2.10736755138 'coq/Coq_ZArith_Zcompare_Zcompare_succ_compat' 'mat/nat_compare_S_S'
2.01689286485 'coq/Coq_ZArith_BinInt_Z_pow_nonneg'#@#variant 'mat/lt_O_exp'#@#variant
2.01689286485 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_Even_or_Odd' 'mat/not_not_bertrand_to_bertrand'
1.95030648625 'coq/Coq_ZArith_BinInt_Z_compare_antisym' 'mat/nat_compare_n_m_m_n'
1.95030648625 'coq/Coq_ZArith_Zcompare_Zcompare_antisym' 'mat/nat_compare_n_m_m_n'
1.93470421089 'coq/Coq_ZArith_Zorder_Zle_succ_le' 'mat/lt_S_to_lt'
1.86666026881 'coq/Coq_Classes_RelationClasses_eq_Reflexive' 'mat/reflexive_eq'
1.86666026881 'coq/Coq_Classes_RelationClasses_eq_Transitive' 'mat/transitive_eq'
1.86666026881 'coq/Coq_Classes_RelationClasses_eq_equivalence' 'mat/symmetric_eq'
1.86666026881 'coq/Coq_setoid_ring_Ring_theory_Eqsth' 'mat/symmetric_eq'
1.8091030762 'coq/Coq_ZArith_Zorder_Zplus_lt_reg_l' 'mat/le_plus_to_le'
1.8091030762 'coq/Coq_ZArith_Zorder_Zplus_le_reg_l' 'mat/lt_plus_to_lt_r'
1.80495168899 'coq/Coq_Lists_List_lel_refl' 'mat/incl_A_A'
1.79184577627 'coq/Coq_ZArith_BinInt_Z_mul_le_mono_nonneg_r' 'mat/lt_times_l1'
1.79184577627 'coq/Coq_ZArith_Zorder_Zmult_le_compat_r' 'mat/lt_times_l1'
1.71634398974 'coq/Coq_ZArith_Zorder_Zle_not_lt' 'mat/lt_to_not_le'
1.71634398974 'coq/Coq_ZArith_BinInt_Z_add_simpl_r' 'mat/minus_plus_m_m'
1.71634398974 'coq/Coq_ZArith_Zorder_Zlt_not_le' 'mat/le_to_not_lt'
1.67817263135 'coq/Coq_ZArith_BinInt_Z_nlt_succ_diag_l' 'mat/not_le_Sn_n'
1.63575083065 'coq/Coq_ZArith_Zorder_Zmult_le_compat_r'#@#variant 'mat/lt_times_l1'#@#variant
1.63575083065 'coq/Coq_ZArith_BinInt_Z_mul_le_mono_nonneg_r'#@#variant 'mat/lt_times_l1'#@#variant
1.62275489329 'coq/Coq_Bool_Bool_negb_orb' 'mat/demorgan2'
1.62275489329 'coq/Coq_Bool_Bool_negb_andb' 'mat/demorgan1'
1.61351429188 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_double_spec'#@#variant 'mat/eq_B_B1'
1.61351429188 'coq/Coq_ZArith_Zpower_two_p_correct'#@#variant 'mat/eq_A_A\''
1.61351429188 'coq/Coq_ZArith_Zpower_two_p_equiv'#@#variant 'mat/eq_A_A\''
1.61036686639 'coq/Coq_ZArith_Zbool_Zeq_bool_eq' 'mat/eqb_true_to_eq'
1.61036686639 'coq/Coq_quote_Quote_index_eq_prop' 'mat/same_atom_to_eq'
1.60438576625 'coq/Coq_QArith_Qround_Qceiling_Z' 'mat/defactorize_factorize'
1.59931426223 'coq/Coq_ZArith_BinInt_Z_le_le_succ_r' 'mat/ltW'
1.56048133331 'coq/Coq_ZArith_BinInt_Z_add_diag'#@#variant 'mat/times_SSO_n'#@#variant
1.51153338598 'coq/Coq_ZArith_BinInt_Z_add_1_r'#@#variant 'mat/plus_n_SO'#@#variant
1.48676333059 'coq/Coq_ZArith_BinInt_Zplus_succ_r_reverse' 'mat/plus_n_Sm'
1.48676333059 'coq/Coq_ZArith_BinInt_Z_add_succ_r' 'mat/plus_n_Sm'
1.46071429073 'coq/Coq_ZArith_BinInt_Z_pow_0_r'#@#variant 'mat/exp_n_O0'#@#variant
1.46071429073 'coq/Coq_ZArith_Zpow_alt_Zpower_alt_0_r'#@#variant 'mat/bc_n_O'#@#variant
1.41525423621 'coq/Coq_Classes_RelationClasses_iff_Reflexive' 'mat/impl_refl'
1.41525423621 'coq/Coq_Classes_RelationClasses_impl_Reflexive' 'mat/reflexive_iff'
1.41525423621 'coq/Coq_Classes_RelationClasses_impl_Transitive' 'mat/transitive_iff'
1.41525423621 'coq/Coq_Classes_RelationClasses_iff_Transitive' 'mat/impl_trans'
1.38919896711 'coq/Coq_ZArith_BinInt_Z_divide_1_l'#@#variant 'mat/divides_SO_n'#@#variant
1.37591784645 'coq/Coq_ZArith_BinInt_Z_mul_le_mono_nonneg_l'#@#variant 'mat/lt_times_r1'#@#variant
1.37591784645 'coq/Coq_ZArith_Zorder_Zmult_le_compat_l'#@#variant 'mat/lt_times_r1'#@#variant
1.37591784645 'coq/Coq_ZArith_BinInt_Z_pow_le_mono_r'#@#variant 'mat/lt_exp'#@#variant
1.36186652389 'coq/Coq_ZArith_BinInt_Z_add_reg_l' 'mat/inj_plus_r'
1.36186652389 'coq/Coq_ZArith_BinInt_Z_mul_shuffle1' 'mat/ab_times_cd'
1.35493877575 'coq/Coq_ZArith_BinInt_Z_eq_mul_0_r' 'mat/times_O_to_O'
1.35493877575 'coq/Coq_ZArith_BinInt_Z_mul_eq_0_r' 'mat/times_O_to_O'
1.35493877575 'coq/Coq_ZArith_BinInt_Zmult_integral' 'mat/times_O_to_O'
1.35493877575 'coq/Coq_ZArith_BinInt_Z_min_l' 'mat/lt_to_eq_mod'
1.35493877575 'coq/Coq_ZArith_BinInt_Z_min_l' 'mat/le_to_mod'
1.33471962616 'coq/Coq_ZArith_BinInt_Z_lt_decidable' 'mat/decidable_le'
1.33471962616 'coq/Coq_ZArith_BinInt_Z_le_decidable' 'mat/decidable_lt'
1.27612515332 'coq/Coq_ZArith_BinInt_Z_sub_add_distr' 'mat/eq_minus_minus_minus_plus'
1.26897451307 'coq/Coq_ZArith_BinInt_Z_le_gt_cases' 'mat/not_lt_to_le'
1.26897451307 'coq/Coq_ZArith_BinInt_Z_lt_ge_cases' 'mat/not_le_to_lt'
1.24895996052 'coq/Coq_ZArith_BinInt_Z_gcd_divide_r' 'mat/divides_gcd_m'
1.24895996052 'coq/Coq_ZArith_BinInt_Z_gcd_divide_r' 'mat/divides_gcd_nm/0'
1.23668197125 'coq/Coq_ZArith_BinInt_Zminus_diag_reverse' 'mat/minus_n_n'
1.23668197125 'coq/Coq_ZArith_BinInt_Z_sub_diag' 'mat/minus_n_n'
1.21734498221 'coq/Coq_ZArith_BinInt_Z_neq_succ_diag_r' 'mat/not_eq_n_Sn'
1.21734498221 'coq/Coq_ZArith_BinInt_Z_neq_succ_diag_l' 'mat/not_eq_n_Sn'
1.21167245593 'coq/Coq_ZArith_BinInt_Z_lt_succ_diag_r' 'mat/le_n_Sn'
1.18966870955 'coq/Coq_ZArith_BinInt_Z_lt_pred_l' 'mat/le_smallest_factor_n'
1.15671391874 'coq/Coq_ZArith_BinInt_Z_sqrt_nonneg' 'mat/lt_O_fact'
1.15671391874 'coq/Coq_ZArith_BinInt_Z_sqrt_up_nonneg' 'mat/lt_O_nth_prime_n'
1.15671391874 'coq/Coq_ZArith_Zlogarithm_ZERO_le_N_digits' 'mat/lt_O_teta'
1.15251020848 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div2_succ_double' 'mat/Zpred_Zsucc'
1.14782258079 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_leb_refl' 'mat/leb_refl'
1.14782258079 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ltb_irrefl' 'mat/ltb_refl'
1.13697632356 'coq/Coq_ZArith_BinInt_Z_divide_refl' 'mat/divides_n_n'
1.12519607357 'coq/Coq_NArith_BinNat_N_double_add' 'mat/Zopp_Zplus'
1.10877316137 'coq/Coq_ZArith_BinInt_Z_gcd_divide_l' 'mat/divides_gcd_nm/1'
1.10877316137 'coq/Coq_ZArith_BinInt_Z_gcd_divide_l' 'mat/divides_gcd_n'
1.08500938388 'coq/Coq_Structures_OrdersEx_Z_as_OT_eq_decidable' 'mat/decidable_eq_nat'
1.08500938388 'coq/Coq_NArith_BinNat_N_eq_decidable' 'mat/decidable_eq_Z'
1.08500938388 'coq/Coq_Numbers_Natural_Binary_NBinary_N_eq_decidable' 'mat/decidable_eq_Z'
1.08500938388 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_eq_decidable' 'mat/decidable_eq_nat'
1.08500938388 'coq/Coq_ZArith_BinInt_Z_eq_decidable' 'mat/decidable_eq_nat'
1.08500938388 'coq/Coq_Structures_OrdersEx_N_as_OT_eq_decidable' 'mat/decidable_eq_Z'
1.08500938388 'coq/Coq_Structures_OrdersEx_N_as_DT_eq_decidable' 'mat/decidable_eq_Z'
1.08500938388 'coq/Coq_Structures_OrdersEx_Z_as_DT_eq_decidable' 'mat/decidable_eq_nat'
1.08392216922 'coq/Coq_ZArith_BinInt_Z_divide_add_r' 'mat/divides_plus'
1.08392216922 'coq/Coq_ZArith_BinInt_Z_divide_sub_r' 'mat/divides_minus'
1.07800241207 'coq/Coq_ZArith_Zorder_Zsucc_lt_reg' 'mat/le_S_S_to_le'
1.07800241207 'coq/Coq_ZArith_Zorder_Zsucc_le_reg' 'mat/ltS\''
1.07800241207 'coq/Coq_ZArith_Zorder_Zsucc_le_reg' 'mat/lt_S_S_to_lt'
1.04673615452 'coq/Coq_ZArith_BinInt_Z_mul_0_r' 'mat/times_n_O'
1.04673615452 'coq/Coq_NArith_BinNat_N_mul_0_r' 'mat/Ztimes_z_OZ'
1.04673615452 'coq/Coq_ZArith_BinInt_Zmult_0_r_reverse' 'mat/times_n_O'
1.0333296667 'coq/Coq_ZArith_Zorder_Zplus_lt_compat_l' 'mat/le_plus_r'
1.0333296667 'coq/Coq_ZArith_Zorder_Zplus_le_compat_l' 'mat/lt_plus_r'
1.00152558572 'coq/Coq_ZArith_Zorder_Zplus_lt_compat_r' 'mat/le_plus_l'
1.00152558572 'coq/Coq_ZArith_Zorder_Zplus_le_compat_r' 'mat/lt_plus_l'
0.999388505962 'coq/Coq_ZArith_BinInt_Z_succ_inj' 'mat/not_eq_S'
0.999388505962 'coq/Coq_ZArith_BinInt_Z_succ_inj' 'mat/inj_S'
0.996772496902 'coq/Coq_Structures_OrdersEx_N_as_OT_eq_refl'#@#variant 'mat/transitive_Zle'#@#variant
0.996772496902 'coq/Coq_Structures_OrdersEx_N_as_OT_eq_refl'#@#variant 'mat/trans_Zle'#@#variant
0.996772496902 'coq/Coq_Structures_OrdersEx_N_as_DT_eq_refl'#@#variant 'mat/transitive_Zle'#@#variant
0.996772496902 'coq/Coq_Structures_OrdersEx_N_as_DT_eq_refl'#@#variant 'mat/trans_Zle'#@#variant
0.996772496902 'coq/Coq_NArith_BinNat_N_eq_refl'#@#variant 'mat/transitive_Zle'#@#variant
0.996772496902 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_reflexive'#@#variant 'mat/transitive_Zlt'#@#variant
0.996772496902 'coq/Coq_Numbers_Natural_Binary_NBinary_N_eq_refl'#@#variant 'mat/transitive_Zle'#@#variant
0.996772496902 'coq/Coq_Numbers_Natural_Binary_NBinary_N_eq_refl'#@#variant 'mat/trans_Zle'#@#variant
0.996772496902 'coq/Coq_ZArith_BinInt_Z_divide_reflexive'#@#variant 'mat/transitive_divides'#@#variant
0.996772496902 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_reflexive'#@#variant 'mat/trans_Zlt'#@#variant
0.996772496902 'coq/Coq_NArith_BinNat_N_eq_refl'#@#variant 'mat/trans_Zle'#@#variant
0.964796185873 'coq/Coq_ZArith_BinInt_Z_gcd_1_l'#@#variant 'mat/gcd_SO_n'#@#variant
0.95487923193 'coq/Coq_Bool_Bool_negb_involutive_reverse' 'mat/eq_notb_notb_b_b'
0.95487923193 'coq/Coq_Bool_Bool_negb_involutive' 'mat/notb_notb'
0.95487923193 'coq/Coq_Bool_Bool_negb_involutive_reverse' 'mat/notb_notb'
0.95487923193 'coq/Coq_Bool_Bool_negb_involutive' 'mat/eq_notb_notb_b_b'
0.946938486569 'coq/Coq_ZArith_Zorder_Zsucc_le_compat' 'mat/ltS'
0.946938486569 'coq/Coq_ZArith_Zorder_Zsucc_lt_compat' 'mat/le_S_S'
0.946938486569 'coq/Coq_ZArith_Zorder_Zsucc_le_compat' 'mat/lt_to_lt_S_S'
0.94563483027 'coq/Coq_NArith_BinNat_N_mul_1_l'#@#variant 'mat/Ztimes_Zone_l'
0.90515781752 'coq/Coq_ZArith_BinInt_Z_sqrt_nonneg'#@#variant 'mat/lt_O_fact'#@#variant
0.90515781752 'coq/Coq_ZArith_Zlogarithm_ZERO_le_N_digits'#@#variant 'mat/lt_O_teta'#@#variant
0.90515781752 'coq/Coq_ZArith_BinInt_Z_sqrt_up_nonneg'#@#variant 'mat/lt_O_nth_prime_n'#@#variant
0.881971216954 'coq/Coq_ZArith_BinInt_Z_add_le_mono' 'mat/lt_plus'
0.881971216954 'coq/Coq_ZArith_BinInt_Z_add_lt_mono' 'mat/le_plus'
0.881971216954 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_plus_le_compat' 'mat/lt_plus'
0.859347742358 'coq/Coq_ZArith_BinInt_Z_mul_add_distr_l' 'mat/distr_times_plus'
0.859347742358 'coq/Coq_ZArith_BinInt_Zmult_minus_distr_l' 'mat/distr_times_minus'
0.859347742358 'coq/Coq_NArith_BinNat_N_mul_add_distr_l' 'mat/distr_Ztimes_Zplus'
0.859347742358 'coq/Coq_NArith_BinNat_Nmult_plus_distr_l' 'mat/distr_Ztimes_Zplus'
0.859347742358 'coq/Coq_ZArith_BinInt_Z_mul_sub_distr_l' 'mat/distr_times_minus'
0.859347742358 'coq/Coq_omega_OmegaLemmas_Zred_factor4' 'mat/distr_times_plus'
0.855102211208 'coq/Coq_ZArith_BinInt_Z_pow_mul_l' 'mat/times_exp'
0.855102211208 'coq/Coq_ZArith_BinInt_Z_mul_sub_distr_r' 'mat/times_minus_l'
0.855102211208 'coq/Coq_ZArith_BinInt_Z_mul_add_distr_r' 'mat/times_plus_l'
0.81687917564 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrtrem_spec' 'mat/OZ_test_to_Prop'
0.81687917564 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrtrem_spec' 'mat/OZ_test_to_Prop'
0.81687917564 'coq/Coq_NArith_BinNat_N_sqrtrem_spec' 'mat/OZ_test_to_Prop'
0.81687917564 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrtrem_spec' 'mat/OZ_test_to_Prop'
0.788510516715 'coq/Coq_ZArith_BinInt_Z_lt_trans' 'mat/trans_le'
0.788510516715 'coq/Coq_Structures_DecidableTypeEx_Z_as_DT_lt_trans' 'mat/trans_le'
0.788510516715 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_lt_trans' 'mat/trans_le'
0.788510516715 'coq/Coq_ZArith_BinInt_Z_le_trans' 'mat/trans_lt'
0.788510516715 'coq/Coq_ZArith_BinInt_Z_divide_trans' 'mat/trans_divides'
0.788510516715 'coq/Coq_Structures_OrderedTypeEx_Z_as_OT_lt_trans' 'mat/trans_le'
0.75618428757 'coq/Coq_ZArith_Zbool_Zeq_bool_if' 'mat/leb_to_Prop'
0.75618428757 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pos_sub_discr' 'mat/eqfb_to_Prop'
0.75618428757 'coq/Coq_Numbers_Natural_Binary_NBinary_N_ggcd_correct_divisors' 'mat/Z_compare_to_Prop'
0.75618428757 'coq/Coq_Structures_OrdersEx_Z_as_DT_quotrem_eq' 'mat/eqb_to_Prop'
0.75618428757 'coq/Coq_ZArith_BinInt_Z_pos_sub_discr' 'mat/eqfb_to_Prop'
0.75618428757 'coq/Coq_ZArith_Zbool_Zle_cases' 'mat/nat_compare_to_Prop'
0.75618428757 'coq/Coq_ZArith_Zbool_Zge_cases' 'mat/ltb_to_Prop'
0.75618428757 'coq/Coq_Structures_OrdersEx_Positive_as_DT_ggcd_greatest' 'mat/eqfb_to_Prop'
0.75618428757 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ggcd_correct_divisors' 'mat/leb_to_Prop'
0.75618428757 'coq/Coq_ZArith_Zbool_Zeq_bool_if' 'mat/eqb_to_Prop'
0.75618428757 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_quotrem_eq' 'mat/leb_to_Prop'
0.75618428757 'coq/Coq_ZArith_Zbool_Zeq_bool_if' 'mat/nat_compare_to_Prop'
0.75618428757 'coq/Coq_Structures_OrdersEx_Z_as_OT_pos_sub_discr' 'mat/eqfb_to_Prop'
0.75618428757 'coq/Coq_ZArith_BinInt_Z_quotrem_eq' 'mat/eqb_to_Prop'
0.75618428757 'coq/Coq_PArith_POrderedType_Positive_as_OT_ggcd_greatest' 'mat/eqfb_to_Prop'
0.75618428757 'coq/Coq_ZArith_Zbool_Zge_cases' 'mat/nat_compare_to_Prop'
0.75618428757 'coq/Coq_Structures_OrdersEx_Z_as_OT_ggcd_correct_divisors' 'mat/eqb_to_Prop'
0.75618428757 'coq/Coq_ZArith_Zbool_Zlt_cases' 'mat/ltb_to_Prop'
0.75618428757 'coq/Coq_ZArith_Zbool_Zlt_cases' 'mat/eqb_to_Prop'
0.75618428757 'coq/Coq_Structures_OrdersEx_Z_as_DT_ggcd_correct_divisors' 'mat/nat_compare_to_Prop'
0.75618428757 'coq/Coq_Structures_OrdersEx_Z_as_OT_quotrem_eq' 'mat/eqb_to_Prop'
0.75618428757 'coq/Coq_Structures_OrdersEx_Z_as_OT_ggcd_correct_divisors' 'mat/leb_to_Prop'
0.75618428757 'coq/Coq_Structures_OrdersEx_Z_as_DT_quotrem_eq' 'mat/nat_compare_to_Prop'
0.75618428757 'coq/Coq_Structures_OrdersEx_Z_as_DT_quotrem_eq' 'mat/leb_to_Prop'
0.75618428757 'coq/Coq_ZArith_Zbool_Zlt_cases' 'mat/nat_compare_to_Prop'
0.75618428757 'coq/Coq_ZArith_Zbool_Zgt_cases' 'mat/ltb_to_Prop'
0.75618428757 'coq/Coq_ZArith_Zbool_Zgt_cases' 'mat/eqb_to_Prop'
0.75618428757 'coq/Coq_NArith_BinNat_N_div_eucl_spec' 'mat/eqZb_to_Prop'
0.75618428757 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ggcd_correct_divisors' 'mat/nat_compare_to_Prop'
0.75618428757 'coq/Coq_Structures_OrdersEx_N_as_OT_ggcd_correct_divisors' 'mat/eqZb_to_Prop'
0.75618428757 'coq/Coq_PArith_POrderedType_Positive_as_DT_ggcd_correct_divisors' 'mat/eqfb_to_Prop'
0.75618428757 'coq/Coq_NArith_BinNat_N_ggcd_correct_divisors' 'mat/Z_compare_to_Prop'
0.75618428757 'coq/Coq_Structures_OrdersEx_N_as_OT_div_eucl_spec' 'mat/eqZb_to_Prop'
0.75618428757 'coq/Coq_Numbers_Natural_Binary_NBinary_N_ggcd_correct_divisors' 'mat/eqZb_to_Prop'
0.75618428757 'coq/Coq_ZArith_Zbool_Zgt_cases' 'mat/nat_compare_to_Prop'
0.75618428757 'coq/Coq_NArith_Ndiv_def_Pdiv_eucl_correct' 'mat/eqfb_to_Prop'
0.75618428757 'coq/Coq_Structures_OrdersEx_N_as_DT_ggcd_correct_divisors' 'mat/Z_compare_to_Prop'
0.75618428757 'coq/Coq_ZArith_BinInt_Z_ggcd_correct_divisors' 'mat/leb_to_Prop'
0.75618428757 'coq/Coq_PArith_BinPos_Pos_ggcd_correct_divisors' 'mat/eqfb_to_Prop'
0.75618428757 'coq/Coq_Structures_OrdersEx_N_as_DT_div_eucl_spec' 'mat/Z_compare_to_Prop'
0.75618428757 'coq/Coq_Structures_OrdersEx_Positive_as_OT_ggcd_greatest' 'mat/eqfb_to_Prop'
0.75618428757 'coq/Coq_Structures_OrdersEx_Positive_as_OT_ggcd_correct_divisors' 'mat/eqfb_to_Prop'
0.75618428757 'coq/Coq_Structures_OrdersEx_Z_as_DT_quotrem_eq' 'mat/ltb_to_Prop'
0.75618428757 'coq/Coq_Structures_OrdersEx_Z_as_OT_ggcd_correct_divisors' 'mat/ltb_to_Prop'
0.75618428757 'coq/Coq_Structures_OrdersEx_Z_as_OT_quotrem_eq' 'mat/nat_compare_to_Prop'
0.75618428757 'coq/Coq_ZArith_Zbool_Zle_cases' 'mat/leb_to_Prop'
0.75618428757 'coq/Coq_Structures_OrdersEx_Z_as_OT_quotrem_eq' 'mat/leb_to_Prop'
0.75618428757 'coq/Coq_ZArith_BinInt_Z_quotrem_eq' 'mat/nat_compare_to_Prop'
0.75618428757 'coq/Coq_ZArith_Zbool_Zle_cases' 'mat/eqb_to_Prop'
0.75618428757 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_quotrem_eq' 'mat/ltb_to_Prop'
0.75618428757 'coq/Coq_ZArith_Zbool_Zge_cases' 'mat/leb_to_Prop'
0.75618428757 'coq/Coq_ZArith_Zbool_Zge_cases' 'mat/eqb_to_Prop'
0.75618428757 'coq/Coq_ZArith_BinInt_Z_ggcd_correct_divisors' 'mat/nat_compare_to_Prop'
0.75618428757 'coq/Coq_Structures_OrdersEx_Z_as_DT_ggcd_correct_divisors' 'mat/eqb_to_Prop'
0.75618428757 'coq/Coq_ZArith_Zbool_Zeq_bool_if' 'mat/ltb_to_Prop'
0.75618428757 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div_eucl_spec' 'mat/eqZb_to_Prop'
0.75618428757 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_quotrem_eq' 'mat/eqb_to_Prop'
0.75618428757 'coq/Coq_ZArith_BinInt_Z_ggcd_correct_divisors' 'mat/eqb_to_Prop'
0.75618428757 'coq/Coq_Structures_OrdersEx_Z_as_OT_quotrem_eq' 'mat/ltb_to_Prop'
0.75618428757 'coq/Coq_Structures_OrdersEx_Z_as_DT_ggcd_correct_divisors' 'mat/leb_to_Prop'
0.75618428757 'coq/Coq_Structures_OrdersEx_Z_as_DT_pos_sub_discr' 'mat/eqfb_to_Prop'
0.75618428757 'coq/Coq_PArith_POrderedType_Positive_as_DT_ggcd_greatest' 'mat/eqfb_to_Prop'
0.75618428757 'coq/Coq_Structures_OrdersEx_Z_as_OT_ggcd_correct_divisors' 'mat/nat_compare_to_Prop'
0.75618428757 'coq/Coq_ZArith_Zbool_Zlt_cases' 'mat/leb_to_Prop'
0.75618428757 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ggcd_correct_divisors' 'mat/eqb_to_Prop'
0.75618428757 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div_eucl_spec' 'mat/Z_compare_to_Prop'
0.75618428757 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ggcd_correct_divisors' 'mat/ltb_to_Prop'
0.75618428757 'coq/Coq_Structures_OrdersEx_N_as_DT_ggcd_correct_divisors' 'mat/eqZb_to_Prop'
0.75618428757 'coq/Coq_NArith_BinNat_N_ggcd_correct_divisors' 'mat/eqZb_to_Prop'
0.75618428757 'coq/Coq_ZArith_BinInt_Z_quotrem_eq' 'mat/ltb_to_Prop'
0.75618428757 'coq/Coq_ZArith_BinInt_Z_ggcd_correct_divisors' 'mat/ltb_to_Prop'
0.75618428757 'coq/Coq_Structures_OrdersEx_N_as_OT_div_eucl_spec' 'mat/Z_compare_to_Prop'
0.75618428757 'coq/Coq_ZArith_Zbool_Zgt_cases' 'mat/leb_to_Prop'
0.75618428757 'coq/Coq_ZArith_BinInt_Z_quotrem_eq' 'mat/leb_to_Prop'
0.75618428757 'coq/Coq_PArith_POrderedType_Positive_as_OT_ggcd_correct_divisors' 'mat/eqfb_to_Prop'
0.75618428757 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_quotrem_eq' 'mat/nat_compare_to_Prop'
0.75618428757 'coq/Coq_NArith_BinNat_N_div_eucl_spec' 'mat/Z_compare_to_Prop'
0.75618428757 'coq/Coq_ZArith_Zbool_Zle_cases' 'mat/ltb_to_Prop'
0.75618428757 'coq/Coq_Structures_OrdersEx_Positive_as_DT_ggcd_correct_divisors' 'mat/eqfb_to_Prop'
0.75618428757 'coq/Coq_Structures_OrdersEx_N_as_OT_ggcd_correct_divisors' 'mat/Z_compare_to_Prop'
0.75618428757 'coq/Coq_Structures_OrdersEx_Z_as_DT_ggcd_correct_divisors' 'mat/ltb_to_Prop'
0.75618428757 'coq/Coq_Structures_OrdersEx_N_as_DT_div_eucl_spec' 'mat/eqZb_to_Prop'
0.75618428757 'coq/Coq_PArith_BinPos_Pos_ggcd_greatest' 'mat/eqfb_to_Prop'
0.669697756905 'coq/Coq_PArith_POrderedType_PositiveOrder_TO_eq_equiv'#@#variant 'mat/daemon1'
0.669697756905 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_eq_equiv'#@#variant 'mat/daemon1'
0.669697756905 'coq/Coq_PArith_BinPos_Pos_eq_equiv'#@#variant 'mat/daemon0'
0.669697756905 'coq/Coq_Structures_OrdersEx_Positive_as_OT_eq_equiv'#@#variant 'mat/daemon'
0.669697756905 'coq/Coq_PArith_POrderedType_Positive_as_OT_eq_equiv'#@#variant 'mat/daemon'
0.669697756905 'coq/Coq_PArith_POrderedType_PositiveOrder_TO_eq_equiv'#@#variant 'mat/daemon0'
0.669697756905 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_eq_equiv'#@#variant 'mat/daemon0'
0.669697756905 'coq/Coq_Structures_OrdersEx_Positive_as_OT_eq_equiv'#@#variant 'mat/daemon0'
0.669697756905 'coq/Coq_PArith_POrderedType_Positive_as_OT_eq_equiv'#@#variant 'mat/daemon0'
0.669697756905 'coq/Coq_Structures_OrdersEx_Positive_as_DT_eq_equiv'#@#variant 'mat/daemon1'
0.669697756905 'coq/Coq_PArith_BinPos_Pos_eq_equiv'#@#variant 'mat/daemon'
0.669697756905 'coq/Coq_Structures_OrdersEx_Positive_as_DT_eq_equiv'#@#variant 'mat/daemon'
0.669697756905 'coq/Coq_PArith_POrderedType_Positive_as_DT_eq_equiv'#@#variant 'mat/daemon'
0.669697756905 'coq/Coq_PArith_BinPos_Pos_eq_equiv'#@#variant 'mat/daemon1'
0.669697756905 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_IsTO_eq_equiv'#@#variant 'mat/daemon'
0.669697756905 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_IsTO_eq_equiv'#@#variant 'mat/daemon1'
0.669697756905 'coq/Coq_PArith_POrderedType_PositiveOrder_TO_eq_equiv'#@#variant 'mat/daemon'
0.669697756905 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_eq_equiv'#@#variant 'mat/daemon'
0.669697756905 'coq/Coq_Structures_OrdersEx_Positive_as_OT_eq_equiv'#@#variant 'mat/daemon1'
0.669697756905 'coq/Coq_PArith_POrderedType_Positive_as_OT_eq_equiv'#@#variant 'mat/daemon1'
0.669697756905 'coq/Coq_Structures_OrdersEx_Positive_as_DT_eq_equiv'#@#variant 'mat/daemon0'
0.669697756905 'coq/Coq_PArith_POrderedType_Positive_as_DT_eq_equiv'#@#variant 'mat/daemon0'
0.669697756905 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_IsTO_eq_equiv'#@#variant 'mat/daemon0'
0.669697756905 'coq/Coq_PArith_POrderedType_Positive_as_DT_eq_equiv'#@#variant 'mat/daemon1'
0.643234360454 'coq/Coq_ZArith_BinInt_Zplus_assoc_reverse' 'mat/assoc_plus'
0.643234360454 'coq/Coq_Bool_Bool_andb_assoc' 'mat/andb_assoc'
0.643234360454 'coq/Coq_Bool_Bool_xorb_assoc_reverse' 'mat/andbA'
0.643234360454 'coq/Coq_ZArith_BinInt_Z_add_assoc' 'mat/assoc_plus'
0.643234360454 'coq/Coq_ZArith_BinInt_Z_mul_assoc' 'mat/assoc_times'
0.643234360454 'coq/Coq_NArith_BinNat_N_add_assoc' 'mat/assoc_Zplus'
0.643234360454 'coq/Coq_ZArith_BinInt_Zmult_assoc_reverse' 'mat/assoc_times'
0.643234360454 'coq/Coq_NArith_BinNat_N_mul_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftl_lxor' 'mat/times_plus_l'
0. 'coq/Coq_PArith_BinPos_Pos_ggcd_correct_divisors' 'mat/Z_compare_to_Prop'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_eq_equiv'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_le_compat_l' 'mat/le_times_r'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_succ_r_prime' 'mat/times_n_Sm'
0. 'coq/Coq_NArith_BinNat_N_le_antisymm' 'mat/le_to_le_to_eq'
0. 'coq/Coq_PArith_BinPos_Pos_eq_sym'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_lt_cancel' 'mat/ltS\''
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_reflexive'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_gcd_divide_r' 'mat/divides_gcd_m'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_succ_le' 'mat/times_SSO_pred'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div_eucl_spec' 'mat/eqfb_to_Prop'
0. 'coq/Coq_NArith_BinNat_N_mul_1_l'#@#variant 'mat/rtimes_one_r'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_id' 'mat/orb_refl'
0. 'coq/Coq_Reals_ROrderedType_ROrder_le_trans' 'mat/trans_le'
0. 'coq/Coq_NArith_BinNat_N_add_0_l' 'mat/rtimes_one_r'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_max_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_pow2'#@#variant 'mat/divides_max_prime_factor_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pos_sub_discr' 'mat/eqb_to_Prop'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_wf_0' 'mat/antisymmetric_le'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_l' 'mat/le_times_r'
0. 'coq/Coq_ZArith_BinInt_Z_pos_sub_discr' 'mat/leb_to_Prop'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_lor' 'mat/demorgan2'
0. 'coq/Coq_Reals_R_sqrt_sqrt_pos'#@#variant 'mat/lt_O_teta'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_add_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_max_distr_r' 'mat/times_exp'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_div2_double'#@#variant 'mat/Zsucc_Zpred'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_max_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_ZArith_BinInt_Z_eqb_refl' 'mat/ltb_refl'
0. 'coq/Coq_PArith_BinPos_Pos_min_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_divide_mono_l' 'mat/le_plus_r'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_le_mono_nonneg_r'#@#variant 'mat/lt_exp1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_0' 'mat/A_SSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_0_r' 'mat/Ztimes_z_OZ'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pred_succ' 'mat/Zpred_Zsucc'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_le_compat' 'mat/le_times'
0. 'coq/Coq_ZArith_BinInt_Z_add_le_mono' 'mat/lt_times'
0. 'coq/Coq_Arith_Max_max_assoc' 'mat/assoc_plus'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_lt_cancel' 'mat/lt_S_S_to_lt'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_preorder'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_le_compat' 'mat/lt_plus'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lcm_mul_mono_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_nonneg' 'mat/le_SO_fact'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_glb' 'mat/divides_plus'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_1_l' 'mat/mod_O_n'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_2'#@#variant 'mat/A_SSSO'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_min_glb_lt' 'mat/divides_minus'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_sub_diag' 'mat/bc_n_n'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_max_min_distr' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_min_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_FSets_FSetPositive_PositiveSet_is_empty_1' 'mat/prime_to_primeb_true'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_le_mono_l' 'mat/lt_plus_l'
0. 'coq/Coq_Reals_Rtrigo_calc_rad_deg' 'mat/Zpred_Zsucc'
0. 'coq/Coq_Reals_ArithProp_le_double'#@#variant 'mat/lt_S_S_to_lt'
0. 'coq/Coq_Reals_ArithProp_le_double'#@#variant 'mat/ltS\''
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_nonneg' 'mat/lt_O_teta'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_2'#@#variant 'mat/B_SSSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_nonneg' 'mat/le_SO_fact'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_2_r' 'mat/exp_SSO'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_0' 'mat/A_SO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_ggcd_correct_divisors' 'mat/eqb_to_Prop'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_lt_cancel' 'mat/lt_S_S_to_lt'
0. 'coq/Coq_NArith_BinNat_N_le_preorder'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_NArith_BinNat_N_ltb_irrefl' 'mat/ltb_refl'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_divide_l' 'mat/divides_gcd_n'
0. 'coq/Coq_NArith_BinNat_N_lt_trans' 'mat/trans_divides'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_ggcd_greatest' 'mat/leb_to_Prop'
0. 'coq/Coq_QArith_Qminmax_Q_max_le_compat' 'mat/le_plus'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lcm_assoc' 'mat/assoc_times'
0. 'coq/Coq_NArith_BinNat_N_mul_sub_distr_l' 'mat/distr_times_minus'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_le_lt_mono' 'mat/le_to_lt_to_plus_lt'
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_transitive'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_succ_l' 'mat/Zplus_Zpred'
0. 'coq/Coq_ZArith_Zeven_Zodd_pred' 'mat/le_SSO_fact'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_Even_or_Odd' 'mat/not_not_bertrand_to_bertrand'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_pow' 'mat/Zplus_Zsucc'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_leb_refl' 'mat/nat_compare_n_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_nonneg'#@#variant 'mat/lt_O_S'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lxor_0_l' 'mat/gcd_O_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_succ_max_distr' 'mat/Zopp_Zplus'
0. 'coq/Coq_ZArith_BinInt_Z_shiftr_land' 'mat/times_exp'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_nonneg' 'mat/lt_O_fact'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lor_land_distr_r' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_le_lin'#@#variant 'mat/divides_smallest_factor_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lxor_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_ZArith_BinInt_Z_gcd_1_l'#@#variant 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_b2z_inj' 'mat/inj_neg'
0. 'coq/Coq_Reals_RList_RList_P27' 'mat/assoc_plus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_T_OMEGA12_stable' 'mat/monotonic_sqrt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_0_discr' 'mat/not_eq_O_S'
0. 'coq/Coq_NArith_BinNat_N_lcm_mul_mono_r' 'mat/times_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_lt_mono' 'mat/lt_times'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_eq_refl'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_Bool_Bool_orb_false_l' 'mat/gcd_O_n'
0. 'coq/Coq_ZArith_Zorder_Zplus_lt_compat_r' 'mat/lt_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_trans' 'mat/trans_le'
0. 'coq/Coq_NArith_BinNat_N_lor_land_distr_l' 'mat/times_exp'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_land_lor_distr_l' 'mat/times_exp'
0. 'coq/Coq_PArith_BinPos_Pos_add_xO' 'mat/Qinv_Qtimes\''
0. 'coq/Coq_ZArith_BinInt_Z_div_le_mono'#@#variant 'mat/lt_times_l1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_sqrt_sqrt_up' 'mat/le_times_SSO_n_exp_SSO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_reflexive'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_gt_cases' 'mat/not_le_to_lt'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_land_assoc' 'mat/assoc_times'
0. 'coq/Coq_Bool_Bool_eqb_reflx' 'mat/bc_n_n'#@#variant
0. 'coq/Coq_QArith_QOrderedType_Q_as_DT_eq_equiv'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_0_l' 'mat/gcd_O_n'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_lt_cancel' 'mat/lt_S_S_to_lt'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_pred_l' 'mat/le_sqrt_n_n'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_succ_le' 'mat/times_SSO_pred'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_MSets_MSetPositive_PositiveSet_E_lt_strorder'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_Bool_Bool_negb_involutive' 'mat/Zopp_Zopp'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_trans' 'mat/trans_divides'
0. 'coq/Coq_Reals_RIneq_Rmult_lt_compat_r' 'mat/lt_exp1'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lxor_0_l' 'mat/gcd_O_n'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_lt_cancel' 'mat/lt_S_S_to_lt'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pos_sub_discr' 'mat/Z_compare_to_Prop'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_nonneg'#@#variant 'mat/lt_O_teta'#@#variant
0. 'coq/Coq_Reals_RIneq_Rmult_minus_distr_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_QArith_QOrderedType_Q_as_DT_eq_equiv'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_0_succ'#@#variant 'mat/not_nf_elim_not/0'
0. 'coq/Coq_Numbers_Cyclic_Int31_Int31_digits_ind' 'mat/bool_ind'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_lt_mono' 'mat/divides_times'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_trans' 'mat/trans_lt'
0. 'coq/Coq_ZArith_BinInt_Z_shiftl_0_l' 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_min_distr_r' 'mat/times_exp'
0. 'coq/Coq_QArith_Qcanon_Qcplus_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_ZArith_BinInt_Z_min_le_compat_l' 'mat/le_plus_r'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_eq_term_true' 'mat/same_atom_to_eq'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_1_l' 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_ZArith_Zbool_Zeq_bool_if' 'mat/R'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_le_mono' 'mat/le_pred'
0. 'coq/Coq_NArith_BinNat_N_add_le_mono' 'mat/lt_plus'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_le_lin' 'mat/le_smallest_factor_n'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lor_diag' 'mat/orb_refl'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_max_distr_r' 'mat/times_exp'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_max_distr' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Reals_Rminmax_R_max_min_distr' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_lt_cancel' 'mat/ltS\''
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lcm_assoc' 'mat/assoc_times'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_involutive' 'mat/finv_finv'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_r' 'mat/le_times_l'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_0_succ' 'mat/lt_O_S'
0. 'coq/Coq_PArith_BinPos_Pos_add_min_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lor_0_l' 'mat/Qtimes_Qone_q'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pred_0' 'mat/eq_OZ_Zopp_OZ'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_min_distr_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_divide_mono_l' 'mat/le_times_r'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_max_distr_l' 'mat/distr_times_plus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_strorder'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_mul_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_eq_sym'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_add_r' 'mat/divides_plus'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tmult_comm_stable' 'mat/increasing_nth_prime'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_sub_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_lt_lin'#@#variant 'mat/divides_smallest_factor_n'#@#variant
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_phi' 'mat/numeratorQ_nat_fact_all_to_Q'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_le_compat_r' 'mat/le_plus_l'
0. 'coq/Coq_Reals_Raxioms_Rmult_lt_compat_l' 'mat/lt_times_r1'
0. 'coq/Coq_QArith_Qcanon_Qcopp_involutive' 'mat/opposite_direction_idempotent'
0. 'coq/Coq_PArith_BinPos_Pos_min_le_compat' 'mat/le_plus'
0. 'coq/Coq_NArith_BinNat_N_shiftr_lor' 'mat/times_exp'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mod_1_r'#@#variant 'mat/mod_SO'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_le_gt_cases' 'mat/not_le_to_lt'
0. 'coq/Coq_PArith_BinPos_Pos_min_le_compat' 'mat/le_times'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_nonneg'#@#variant 'mat/prime_nth_prime'
0. 'coq/Coq_NArith_BinNat_N_sqrt_spec_prime/0' 'mat/leq_sqrt_n'
0. 'coq/Coq_NArith_BinNat_N_divide_antisym' 'mat/le_to_le_to_eq'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_mul_mono_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_ZArith_BinInt_Z_pred_min_distr' 'mat/Zopp_Zplus'
0. 'coq/Coq_NArith_BinNat_N_min_glb' 'mat/divides_minus'
0. 'coq/Coq_NArith_Ndist_ni_le_trans' 'mat/trans_lt'
0. 'coq/Coq_Arith_PeanoNat_Nat_eq_refl'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_1'#@#variant 'mat/A_SSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_pred_l' 'mat/le_prim_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_min_distr_r' 'mat/times_exp'
0. 'coq/Coq_Reals_RIneq_Rle_trans' 'mat/trans_le'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lcm_1_l' 'mat/Zsucc_Zplus_pos_O'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_nonneg' 'mat/le_SO_fact'#@#variant
0. 'coq/Coq_Structures_DecidableTypeEx_N_as_DT_lt_not_eq' 'mat/lt_to_not_eq'
0. 'coq/Coq_NArith_BinNat_N_add_min_distr_r' 'mat/times_exp'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_glb' 'mat/divides_minus'
0. 'coq/Coq_Bool_Bool_xorb_false_l' 'mat/Qtimes_Qone_q'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_factor_r' 'mat/le_plus_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_1'#@#variant 'mat/A_SO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_min_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_min_distr_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Reals_RList_RList_P27' 'mat/assoc_Ztimes'
0. 'coq/Coq_ZArith_BinInt_Z_lor_diag' 'mat/gcd_n_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_glb' 'mat/divides_minus'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_1_l' 'mat/divides_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_0_l' 'mat/gcd_O_n'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lxor_0_l' 'mat/gcd_O_n'
0. 'coq/Coq_Reals_Raxioms_Rplus_0_l' 'mat/Qtimes_Qone_q'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_ldiff_ldiff_l' 'mat/exp_exp_times'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_le_compat' 'mat/le_times'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_ldiff_0_l' 'mat/mod_O_n'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_divide_trans' 'mat/trans_le'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_mul_mono_r' 'mat/times_minus_l'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_sub_distr_l' 'mat/distr_times_minus'
0. 'coq/Coq_PArith_BinPos_Pos_mul_lt_mono' 'mat/le_plus'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_two_succ'#@#variant 'mat/A_SSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_nonneg'#@#variant 'mat/lt_O_S'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_le_mono_nonneg_r'#@#variant 'mat/lt_times_l1'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_max_distr_l' 'mat/distr_times_plus'
0. 'coq/Coq_ZArith_BinInt_Z_opp_involutive' 'mat/finv_finv'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_lnot_diag'#@#variant 'mat/Zplus_Zopp'
0. 'coq/Coq_Reals_Raxioms_Rplus_assoc' 'mat/andb_assoc'
0. 'coq/Coq_Classes_CRelationClasses_RewriteRelation_instance_1' 'mat/impl_trans'
0. 'coq/Coq_NArith_BinNat_N_neq_0_succ' 'mat/not_eq_O_S'
0. 'coq/Coq_ZArith_BinInt_Z_opp_involutive' 'mat/Qinv_Qinv'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_nonneg'#@#variant 'mat/lt_O_fact'#@#variant
0. 'coq/Coq_Classes_CRelationClasses_RewriteRelation_instance_0' 'mat/impl_trans'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_trans' 'mat/trans_lt'
0. 'coq/Coq_Arith_Lt_lt_n_S' 'mat/ltS'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tplus_assoc_r_stable' 'mat/increasing_nth_prime'
0. 'coq/Coq_NArith_BinNat_N_pred_0' 'mat/eq_OZ_Zopp_OZ'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_lt_lin'#@#variant 'mat/lt_sqrt_n'#@#variant
0. 'coq/Coq_NArith_BinNat_N_land_lor_distr_r' 'mat/distr_times_plus'
0. 'coq/Coq_QArith_Qminmax_Q_min_le_compat' 'mat/lt_times'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_nonneg'#@#variant 'mat/lt_O_S'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_quot_lt'#@#variant 'mat/lt_div'#@#variant
0. 'coq/Coq_Reals_RIneq_Rinv_1' 'mat/A_SSO'#@#variant
0. 'coq/Coq_Bool_Bool_andb_diag' 'mat/gcd_n_n'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_lt_lin'#@#variant 'mat/divides_smallest_factor_n'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_le_mono' 'mat/ltS'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_nonneg' 'mat/lt_O_fact'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_2' 'mat/A_SSO'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_l' 'mat/le_to_mod'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_eq_0_r' 'mat/andb_true_true_r'
0. 'coq/Coq_ZArith_Zorder_Zmult_le_compat_l'#@#variant 'mat/le_log'#@#variant
0. 'coq/Coq_Arith_Peano_dec_dec_eq_nat' 'mat/decidable_eq_fraction'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_succ_min_distr' 'mat/Qinv_Qtimes\''
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_preorder'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_le_compat_l' 'mat/le_times_r'
0. 'coq/Coq_Reals_Rsqrt_def_pow_2_n_neq_R0' 'mat/not_eq_denominator_nfa_zero'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_sub_mask_diag' 'mat/nat_compare_n_n'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_divide_mono_l' 'mat/lt_plus_r'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_opp_l' 'mat/Zplus_Zsucc'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_spec_prime/0' 'mat/leq_sqrt_n'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigNeqb_correct' 'mat/divides_b_true_to_divides'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_land_assoc' 'mat/assoc_plus'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_lt_lin'#@#variant 'mat/divides_smallest_factor_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_add_diag_r' 'mat/le_plus_n_r'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_log2_log2_up' 'mat/le_times_SSO_n_exp_SSO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_lt_cancel' 'mat/le_S_S_to_le'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_eq_sym'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_le_incl' 'mat/lt_to_le'
0. 'coq/Coq_Arith_PeanoNat_Nat_eq_refl'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_max_min_distr' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_decidable' 'mat/decidable_lt'
0. 'coq/Coq_PArith_BinPos_Pos_eq_trans'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_l' 'mat/le_times_r'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_quot_factor'#@#variant 'mat/eq_div_plus'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_factor_l' 'mat/le_plus_n_r'
0. 'coq/Coq_fourier_Fourier_util_Rfourier_lt' 'mat/lt_times_r1'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_nonneg' 'mat/lt_O_teta'
0. 'coq/Coq_Reals_Raxioms_Rmult_1_l' 'mat/Qtimes_Qone_q'
0. 'coq/Coq_Arith_PeanoNat_Nat_sub_0_l' 'mat/mod_O_n'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_sub_distr_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_PArith_BinPos_Pos_ggcd_greatest' 'mat/leb_to_Prop'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_land_assoc' 'mat/andb_assoc'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_eq_equiv'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_ggcd_correct_divisors' 'mat/leb_to_Prop'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_pos'#@#variant 'mat/le_SSO_fact'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_lt_mono' 'mat/divides_times'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftr_succ_r' 'mat/eq_minus_S_pred'
0. 'coq/Coq_QArith_Qminmax_Q_max_le_compat_r' 'mat/le_times_l'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftl_0_l' 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_le_mono' 'mat/le_pred'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_leb_refl' 'mat/ltb_refl'
0. 'coq/Coq_ZArith_BinInt_Z_leb_refl' 'mat/ltb_refl'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_compare_refl' 'mat/nat_compare_n_n'
0. 'coq/Coq_ZArith_BinInt_Z_le_preorder'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_1_r' 'mat/exp_n_SO'
0. 'coq/Coq_PArith_BinPos_Pos_mul_max_distr_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_2'#@#variant 'mat/eq_OZ_Zopp_OZ'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_max_distr_r' 'mat/times_exp'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_eq_refl'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_ZArith_Zeven_Zeven_2p'#@#variant 'mat/not_nf_elim_not/0'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_assoc' 'mat/assoc_plus'
0. 'coq/Coq_ZArith_BinInt_Z_lnot_involutive' 'mat/notb_notb'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_pos'#@#variant 'mat/prime_smallest_factor_n'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_preorder'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_divide_mono_l' 'mat/lt_plus_r'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_nonneg'#@#variant 'mat/prime_nth_prime'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_max_distr' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_ZArith_BinInt_Z_abs_mul' 'mat/Zopp_Zplus'
0. 'coq/Coq_NArith_BinNat_N_add_1_r'#@#variant 'mat/plus_n_SO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_add_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftr_ldiff' 'mat/times_minus_l'
0. 'coq/Coq_QArith_Qminmax_Q_OT_eq_equiv'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_NArith_BinNat_N_max_0_l' 'mat/Qtimes_Qone_q'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_sub_add' 'mat/plus_minus_m_m'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lor_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_succ_r_prime' 'mat/times_n_Sm'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_compare_succ_succ' 'mat/nat_compare_S_S'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_transitive'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_succ_r' 'mat/plus_n_Sm'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_nonneg'#@#variant 'mat/not_nf_elim_not/1'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_assoc' 'mat/assoc_plus'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_le_compat' 'mat/le_times'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_nonneg' 'mat/lt_O_nth_prime_n'
0. 'coq/Coq_NArith_BinNat_N_div_eucl_spec' 'mat/R'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_nonneg' 'mat/lt_O_fact'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_2'#@#variant 'mat/A_SSSO'#@#variant
0. 'coq/__constr_Coq_Classes_CMorphisms_normalization_done_0_1' 'mat/daemon0'
0. 'coq/Coq_ZArith_BinInt_Z_log2_lt_lin'#@#variant 'mat/lt_sqrt_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_nonneg_l'#@#variant 'mat/lt_times_r1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ldiff_0_l' 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_lor' 'mat/demorgan1'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_preorder'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_add_distr_r' 'mat/times_exp'
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_factor_r' 'mat/le_plus_n'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_preorder'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_OT_eq_equiv'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_eq_trans'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sub_le_mono_r' 'mat/le_plus_l'
0. 'coq/Coq_Arith_Mult_mult_le_compat_l' 'mat/le_times_r'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_le_incl' 'mat/lt_to_le'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_eq_equiv'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mod_1_r'#@#variant 'mat/exp_n_O0'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_trans' 'mat/trans_divides'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_1'#@#variant 'mat/A_SO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_xO' 'mat/Qinv_Qtimes\''
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_trans' 'mat/trans_le'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_nonneg' 'mat/lt_O_S'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_succ_diag_r' 'mat/le_n_fact_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_le_mono' 'mat/le_plus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_1'#@#variant 'mat/B_SSSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_max_distr' 'mat/Qinv_Qtimes\''
0. 'coq/Coq_NArith_BinNat_N_shiftr_ldiff' 'mat/times_exp'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_glb' 'mat/divides_plus'
0. 'coq/Coq_NArith_BinNat_N_log2_pow2'#@#variant 'mat/S_pred'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_rem_le'#@#variant 'mat/lt_div'#@#variant
0. 'coq/Coq_Arith_Min_min_0_l' 'mat/mod_O_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_double_inj' 'mat/not_eq_S'
0. 'coq/Coq_Arith_Gt_gt_trans' 'mat/trans_le'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftl_land' 'mat/times_plus_l'
0. 'coq/Coq_Numbers_Cyclic_Int31_Int31_digits_ind' 'mat/rewrite_direction_ind'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_1_r' 'mat/times_n_O'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_eq_refl'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_divide_mono_r' 'mat/le_times_l'
0. 'coq/Coq_ZArith_BinInt_Z_le_preorder'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_NArith_BinNat_N_log2_up_1'#@#variant 'mat/B_SSSSO'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_pow2'#@#variant 'mat/S_pred'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_div_1_r' 'mat/exp_n_SO'
0. 'coq/Coq_NArith_BinNat_N_gcd_assoc' 'mat/assoc_times'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_le_mono' 'mat/le_to_le_pred'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lcm_1_l' 'mat/Zpred_Zplus_neg_O'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_preorder'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sub_add' 'mat/plus_minus_m_m'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_min_distr_r' 'mat/times_exp'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_nonneg'#@#variant 'mat/lt_O_nth_prime_n'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_le_mono' 'mat/le_plus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_b2n_inj' 'mat/inj_pos'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_land_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_le_lin'#@#variant 'mat/divides_smallest_factor_n'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lor_land_distr_r' 'mat/distr_times_plus'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_eq_decidable' 'mat/decidable_eq_nat'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_nonneg' 'mat/lt_O_S'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_le_compat_l' 'mat/lt_plus_r'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_strorder'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_max_le_compat_l' 'mat/le_plus_r'
0. 'coq/Coq_Reals_RIneq_Rplus_le_reg_r' 'mat/lt_plus_to_lt_l'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_rem_1_l'#@#variant 'mat/exp_n_O'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_land_diag' 'mat/gcd_n_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_div_lt' 'mat/lt_div_n_m_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrtrem_spec' 'mat/denom'
0. 'coq/Coq_NArith_BinNat_N_divide_transitive'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_1'#@#variant 'mat/B_SSSSO'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_SIN_bound/0'#@#variant 'mat/le_SO_fact'#@#variant
0. 'coq/Coq_NArith_BinNat_N_divide_add_r' 'mat/divides_plus'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_eq_refl'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_1_r' 'mat/exp_n_SO'
0. 'coq/Coq_Reals_R_sqrt_sqrt_lt_R0' 'mat/lt_O_smallest_factor'
0. 'coq/Coq_Reals_RIneq_Rplus_ne/1' 'mat/rtimes_one_r'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_add_distr_l' 'mat/distr_times_plus'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_T_OMEGA11_stable' 'mat/injective_S'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_decidable' 'mat/decidable_lt'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_0_succ' 'mat/lt_O_teta'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_le_compat_l' 'mat/lt_plus_r'
0. 'coq/Coq_Arith_Plus_plus_assoc_reverse' 'mat/assoc_Zplus'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_min_distr_r' 'mat/times_exp'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_reflexive'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_1'#@#variant 'mat/B_SSSO'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lxor_assoc' 'mat/assoc_plus'
0. 'coq/Coq_QArith_QOrderedType_Q_as_OT_eq_equiv'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rle_min_compat_r' 'mat/le_times_l'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftl_0_l' 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_0' 'mat/A_SSO'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_lcm_l' 'mat/le_plus_n_r'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_max_distr' 'mat/Qinv_Qtimes\''
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_nonneg' 'mat/lt_O_S'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tmult_plus_distr_stable' 'mat/injective_nth_prime'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_le_mono' 'mat/le_to_le_pred'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_eq_trans'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_trans' 'mat/trans_divides'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_odd_succ' 'mat/pos_n_eq_S_n'
0. 'coq/Coq_ZArith_Zdiv_Zdiv_le_lower_bound'#@#variant 'mat/divides_times_to_divides_div'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_nonneg'#@#variant 'mat/lt_SO_nth_prime_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_nonneg_r'#@#variant 'mat/lt_times_l1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_0_l' 'mat/Ztimes_Zone_l'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_pos_le'#@#variant 'mat/divides_to_le'#@#variant
0. 'coq/Coq_Arith_Plus_plus_lt_compat' 'mat/le_plus'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_transitive'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sub_0_l' 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_Classes_RelationClasses_impl_Reflexive' 'mat/impl_trans'
0. 'coq/Coq_QArith_QArith_base_Qplus_le_compat' 'mat/divides_times'
0. 'coq/Coq_Reals_Raxioms_Rplus_assoc' 'mat/andbA'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_eq'#@#variant 'mat/prime_to_smallest_factor'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_le_compat_l' 'mat/lt_plus_r'
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_divide_l' 'mat/divides_gcd_n'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_compare_eq' 'mat/same_atom_to_eq'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_0_l' 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_eq_decidable' 'mat/decidable_eq_nat'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_1_l'#@#variant 'mat/Qtimes_Qone_q'
0. 'coq/Coq_Reals_RIneq_Ropp_0' 'mat/A_SO'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_div_factor'#@#variant 'mat/eq_gcd_div_div_div_gcd'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrtrem_spec' 'mat/semigroup'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_lt_cancel' 'mat/le_S_S_to_le'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_div_eucl' 'mat/ltb_to_Prop'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_2'#@#variant 'mat/A_SO'#@#variant
0. 'coq/Coq_Classes_RelationClasses_RewriteRelation_instance_1' 'mat/impl_trans'
0. 'coq/Coq_NArith_BinNat_N_div2_succ_double' 'mat/pred_Sn'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pred_le_mono' 'mat/ltS'
0. 'coq/Coq_Classes_RelationClasses_RewriteRelation_instance_0' 'mat/impl_trans'
0. 'coq/Coq_setoid_ring_InitialRing_Neqb_ok' 'mat/eqb_true_to_eq'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_0' 'mat/A_SSO'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_involutive' 'mat/rinv_rinv'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftl_lor' 'mat/times_minus_l'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_land_m1_l'#@#variant 'mat/rtimes_one_r'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_add_pos_l'#@#variant 'mat/lt_m_exp_nm'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_le_mono' 'mat/le_times'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_le_mono_nonneg_l'#@#variant 'mat/lt_times_r1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftr_ldiff' 'mat/times_minus_l'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_le_mono_nonneg_l'#@#variant 'mat/le_log'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrtrem_spec' 'mat/magma'
0. 'coq/Coq_NArith_BinNat_N_divide_add_r' 'mat/divides_minus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_min_distr_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_nonneg'#@#variant 'mat/not_nf_elim_not/0'
0. 'coq/Coq_NArith_BinNat_N_pow_mul_l' 'mat/times_exp'
0. 'coq/Coq_ZArith_BinInt_Z_two_succ'#@#variant 'mat/B_SSSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_nonneg' 'mat/lt_O_fact'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_nonneg'#@#variant 'mat/prime_nth_prime'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pos_pred_succ' 'mat/factorize_defactorize'
0. 'coq/Coq_Arith_Plus_plus_le_reg_l' 'mat/lt_plus_to_lt_r'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_1_r'#@#variant 'mat/Ztimes_z_OZ'
0. 'coq/Coq_Classes_RelationClasses_iff_equivalence' 'mat/symmetric_iff'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_reflexive'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tmult_opp_left_stable' 'mat/injective_nth_prime'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_le_max_r' 'mat/le_plus_n'
0. 'coq/Coq_PArith_BinPos_Pos_sub_add' 'mat/divides_to_div'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_lt_mono_r'#@#variant 'mat/le_exp'#@#variant
0. 'coq/Coq_Reals_Exp_prop_div2_double'#@#variant 'mat/Zsucc_Zpred'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_sub' 'mat/minus_plus_m_m'
0. 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_plus_le_compat' 'mat/lt_times'
0. 'coq/Coq_omega_OmegaLemmas_Zred_factor2'#@#variant 'mat/exp_S'
0. 'coq/Coq_Arith_PeanoNat_Nat_eq_mul_0_r' 'mat/eq_Qtimes_OQ_to_eq_OQ'
0. 'coq/Coq_NArith_BinNat_N_pow_0_r'#@#variant 'mat/bc_n_O'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lnot_ones' 'mat/orb_not_b_b'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_min_distr' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_eq_trans'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_min_distr' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_add_r' 'mat/divides_minus'
0. 'coq/Coq_NArith_BinNat_N_sub_0_l' 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_le_compat_l' 'mat/le_times_r'
0. 'coq/Coq_Reals_R_sqrt_sqrt_positivity'#@#variant 'mat/lt_SO_smallest_factor'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ldiff_ldiff_l' 'mat/eq_minus_minus_minus_plus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lcm_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_2'#@#variant 'mat/B_SSSO'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_succ_m1'#@#variant 'mat/B_SSSSO'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lcm_0_r' 'mat/Qtimes_q_OQ'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_le_min_l' 'mat/divides_gcd_nm/1'
0. 'coq/Coq_Reals_Rminmax_R_min_le_compat_r' 'mat/lt_plus_l'
0. 'coq/__constr_Coq_Classes_CMorphisms_PartialApplication_0_1' 'mat/daemon'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pos_sub_discr' 'mat/nat_compare_to_Prop'
0. 'coq/Coq_ZArith_Zdiv_Zmult_mod_distr_l' 'mat/distr_times_minus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_0_l' 'mat/Ztimes_Zone_l'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_nonneg'#@#variant 'mat/not_nf_elim_not/1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lor_0_l' 'mat/Ztimes_Zone_l'
0. 'coq/Coq_Arith_Max_succ_max_distr' 'mat/Zopp_Zplus'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_1'#@#variant 'mat/A_SO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_le_mono' 'mat/le_plus'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_sub_add' 'mat/divides_to_div'
0. 'coq/Coq_Reals_Rbasic_fun_Rmin_glb' 'mat/divides_minus'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_double_inj' 'mat/inj_S'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_max_distr' 'mat/distr_times_minus'
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_nonneg'#@#variant 'mat/lt_O_teta'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_ggcd_greatest' 'mat/ltb_to_Prop'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sub_max_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_mul_r'#@#variant 'mat/eq_div_div_div_times'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftl_land' 'mat/times_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_0_l' 'mat/rtimes_one_r'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_ltb_irrefl' 'mat/nat_compare_n_n'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_add_distr_l' 'mat/distr_times_minus'
0. 'coq/Coq_QArith_Qabs_Qabs_wd' 'mat/lt_to_lt_S_S'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_nonneg'#@#variant 'mat/lt_O_S'#@#variant
0. 'coq/Coq_NArith_BinNat_N_log2_nonneg'#@#variant 'mat/lt_SO_nth_prime_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_succ_inj' 'mat/inj_S'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sub_le_mono_r' 'mat/lt_plus_l'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_ldiff_0_l' 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_compare_refl' 'mat/leb_refl'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_nonneg' 'mat/lt_O_S'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_min_l' 'mat/divides_gcd_n'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_land_0_l' 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_land_lor_distr_l' 'mat/times_minus_l'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_eq_trans'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_divide_mono_l' 'mat/le_times_r'
0. 'coq/Coq_QArith_QArith_base_Qmult_lt_0_le_reg_r'#@#variant 'mat/le_exp_to_le1'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zgt_succ' 'mat/le_pred_n'
0. 'coq/Coq_QArith_QArith_base_Qeq_trans' 'mat/trans_lt'
0. 'coq/Coq_Arith_PeanoNat_Nat_compare_refl' 'mat/ltb_refl'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_sub_lt_add_l' 'mat/lt_minus_to_lt_plus'
0. 'coq/Coq_ZArith_BinInt_Z_le_lt_trans' 'mat/le_to_lt_to_lt'
0. 'coq/Coq_Reals_RIneq_Rnot_gt_ge' 'mat/not_lt_to_le'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_0_l' 'mat/mod_O_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_le_compat' 'mat/le_times'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_mul_r' 'mat/eq_minus_minus_minus_plus'
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_nonneg' 'mat/lt_O_fact'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_sqrt_spec' 'mat/premonoid0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_2'#@#variant 'mat/A_SSO'#@#variant
0. 'coq/Coq_Init_Peano_plus_O_n' 'mat/gcd_O_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_preorder'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_max_distr_l' 'mat/distr_times_plus'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_1'#@#variant 'mat/A_SSSO'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_succ_inj' 'mat/inj_S'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lor_assoc' 'mat/andb_assoc'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_square' 'mat/eq_sqrt'
0. 'coq/Coq_Arith_PeanoNat_Nat_sub_succ' 'mat/minus_S_S'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_nonneg'#@#variant 'mat/lt_O_fact'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lnot_lxor_r' 'mat/plus_n_Sm'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftl_shiftl' 'mat/eq_minus_minus_minus_plus'
0. 'coq/Coq_Arith_Max_le_max_r' 'mat/le_plus_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_succ_le' 'mat/times_SSO_pred'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_lt_trans' 'mat/trans_divides'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_xO_r' 'mat/plus_n_Sm'
0. 'coq/Coq_Reals_ROrderedType_ROrder_lt_le_trans' 'mat/lt_to_le_to_lt'
0. 'coq/Coq_NArith_BinNat_N_max_le_compat' 'mat/divides_times'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_0_r'#@#variant 'mat/bc_n_O'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_max_l' 'mat/le_plus_n_r'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tmult_assoc_r_stable' 'mat/injective_S'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_le_mono' 'mat/lt_to_lt_S_S'
0. 'coq/Coq_FSets_FSetPositive_PositiveSet_eq_trans' 'mat/trans_le'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_log2_log2_up' 'mat/le_times_SSO_n_exp_SSO_n'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_m1'#@#variant 'mat/B_SSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_diag' 'mat/gcd_n_n'
0. 'coq/Coq_QArith_QArith_base_Qeq_bool_neq' 'mat/leb_false_to_not_le'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_le_mono' 'mat/le_times'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_eq_sym'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_double_spec'#@#variant 'mat/eq_A_A\''
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_le_lin'#@#variant 'mat/divides_smallest_factor_n'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_square_spec' 'mat/times_SSO_n'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_max_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_1'#@#variant 'mat/A_SSO'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_lt_cancel' 'mat/le_S_S_to_le'
0. 'coq/Coq_Structures_DecidableTypeEx_N_as_DT_lt_not_eq' 'mat/eq_to_not_lt'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lcm_0_l' 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_1'#@#variant 'mat/B_SSSSO'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lcm_1_r'#@#variant 'mat/plus_n_SO'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_0_l' 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_nonneg'#@#variant 'mat/not_nf_elim_not/0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_land_lor_distr_r' 'mat/distr_times_plus'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tmult_assoc_r_stable' 'mat/monotonic_sqrt'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_le_compat' 'mat/divides_times'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_pred_r' 'mat/plus_n_Sm'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_min_distr_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_ZArith_BinInt_Z_le_min_l' 'mat/le_minus_m'
0. 'coq/Coq_NArith_BinNat_N_lor_diag' 'mat/orb_refl'
0. 'coq/Coq_ZArith_BinInt_Z_add_opp_diag_l' 'mat/orb_not_b_b'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lor_diag' 'mat/gcd_n_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_l' 'mat/le_to_mod'
0. 'coq/Coq_NArith_BinNat_N_gcd_divide_r' 'mat/divides_gcd_m'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_nonneg'#@#variant 'mat/lt_O_teta'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_eq_equiv'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_nonneg' 'mat/lt_O_teta'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_diag' 'mat/bc_n_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_0_r' 'mat/Ztimes_z_OZ'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_succ_inj' 'mat/le_S_S_to_le'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_eqb_refl' 'mat/nat_compare_n_n'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_nonneg' 'mat/lt_O_fact'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_lt_mono_r'#@#variant 'mat/lt_times_r1'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_1_r'#@#variant 'mat/le_n_O_to_eq'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_eq_0_l' 'mat/andb_true_true'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_min_distr_l' 'mat/exp_plus_times'
0. 'coq/Coq_Arith_PeanoNat_Nat_max_le_compat_r' 'mat/lt_plus_l'
0. 'coq/Coq_ZArith_BinInt_Z_eq_equiv'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_le_compat_l' 'mat/lt_plus_r'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_0' 'mat/A_SO'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_sub_min_distr_r' 'mat/times_exp'
0. 'coq/Coq_ZArith_BinInt_Z_mul_le_mono_nonneg_l'#@#variant 'mat/le_log'#@#variant
0. 'coq/Coq_Arith_Lt_le_not_lt' 'mat/le_to_not_lt'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_0_succ' 'mat/lt_O_fact'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_pred_l' 'mat/le_pred_n'
0. 'coq/Coq_NArith_BinNat_N_pow_succ_r_prime' 'mat/exp_S'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_involutive' 'mat/eq_notb_notb_b_b'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_sub_diag' 'mat/bc_n_n'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qcplus_le_compat' 'mat/lt_plus'
0. 'coq/Coq_ZArith_BinInt_Z_le_pred_l' 'mat/le_sqrt_n_n'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_min_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_Arith_Compare_dec_dec_lt' 'mat/decidable_lt'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_nonneg' 'mat/lt_O_fact'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_preorder'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_eqb_refl' 'mat/eqb_n_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_sub_distr_l' 'mat/distr_times_minus'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_le_compat_r' 'mat/le_times_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_min_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_nonneg' 'mat/lt_O_fact'
0. 'coq/Coq_Reals_R_sqrt_sqrt_inj' 'mat/eq_pred_to_eq'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pos_sub_discr' 'mat/ltb_to_Prop'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_0_l' 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_2'#@#variant 'mat/B_SSSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_0_r' 'mat/times_n_O'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_nonneg'#@#variant 'mat/lt_SO_nth_prime_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_divide_l' 'mat/divides_gcd_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_add_distr' 'mat/Qinv_Qtimes\''
0. 'coq/Coq_MMaps_MMapPositive_PositiveMap_lt_rev_append' 'mat/lt_plus_r'
0. 'coq/Coq_QArith_Qminmax_Q_min_le_compat_l' 'mat/lt_plus_r'
0. 'coq/Coq_ZArith_Zquot_Zmult_rem_distr_l' 'mat/distr_times_minus'
0. 'coq/Coq_ZArith_Zquot_Z_quot_monotone' 'mat/lt_times_l1'
0. 'coq/Coq_Structures_DecidableTypeEx_N_as_DT_lt_trans' 'mat/trans_lt'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_refl' 'mat/divides_n_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_lt_mono_r'#@#variant 'mat/lt_exp'#@#variant
0. 'coq/Coq_NArith_BinNat_N_eq_sym'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pow_gt_lin_r'#@#variant 'mat/lt_m_exp_nm'#@#variant
0. 'coq/Coq_Reals_RIneq_Rmult_lt_reg_r' 'mat/lt_exp_to_lt1'
0. 'coq/Coq_PArith_BinPos_Pos_min_1_r' 'mat/Ztimes_z_OZ'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sub_le_mono_r' 'mat/le_times_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_le_compat_r' 'mat/lt_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_lnot_diag'#@#variant 'mat/rtimes_rinv'
0. 'coq/Coq_ZArith_BinInt_Z_add_pred_l' 'mat/Zplus_Zpred'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_le_mono_r' 'mat/le_exp'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_ltb_irrefl' 'mat/eqb_n_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_add_distr_l' 'mat/distr_times_minus'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_ltb_irrefl' 'mat/ltb_refl'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lcm_mul_mono_l' 'mat/distr_times_minus'
0. 'coq/Coq_ZArith_Zlogarithm_ZERO_le_N_digits'#@#variant 'mat/lt_O_fact'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_b2z_inj' 'mat/inj_neg'
0. 'coq/Coq_NArith_BinNat_N_max_le_compat' 'mat/lt_times'
0. 'coq/Coq_PArith_BinPos_Pos_min_l' 'mat/le_to_mod'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_factor_l' 'mat/le_plus_n_r'
0. 'coq/Coq_Arith_Compare_dec_dec_le' 'mat/decidable_lt'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_nonneg'#@#variant 'mat/lt_O_nth_prime_n'#@#variant
0. 'coq/Coq_Arith_Factorial_lt_O_fact' 'mat/le_SO_fact'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_nonneg'#@#variant 'mat/prime_nth_prime'
0. 'coq/Coq_ZArith_Zorder_Zge_trans' 'mat/trans_divides'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_nonneg' 'mat/le_SO_fact'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pred_sub'#@#variant 'mat/plus_n_SO'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_0_l' 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_ZArith_Int_Z_as_Int_i2z_eq' 'mat/inj_pos'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_le_compat' 'mat/divides_times'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftr_0_l' 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_neq' 'mat/lt_to_not_eq'
0. 'coq/Coq_Reals_Rbasic_fun_Rmax_l' 'mat/le_plus_n_r'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lor_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div2_spec'#@#variant 'mat/plus_n_SO'#@#variant
0. 'coq/Coq_Reals_RIneq_Rlt_Rminus'#@#variant 'mat/lt_to_lt_O_minus'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_divide_mono_r' 'mat/le_times_l'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_1'#@#variant 'mat/A_SSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_min_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_unique_prime' 'mat/gcd1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_reflexive'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_max_0_l' 'mat/Qtimes_Qone_q'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_0' 'mat/A_SO'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_eq_equiv'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_gcd_quot_factor' 'mat/eq_gcd_div_div_div_gcd'
0. 'coq/Coq_NArith_Ndigits_Ndiv2_double_plus_one' 'mat/S_pred'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_eq_equiv'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_le_mono' 'mat/le_S_S'
0. 'coq/Coq_Reals_Rminmax_Rmin_l' 'mat/lt_to_eq_mod'
0. 'coq/Coq_NArith_BinNat_N_div_eucl_spec' 'mat/nat_compare_to_Prop'
0. 'coq/Coq_NArith_Ndigits_Nless_def_2' 'mat/nat_compare_S_S'
0. 'coq/Coq_NArith_BinNat_N_pred_0' 'mat/A_SO'#@#variant
0. 'coq/Coq_NArith_Ndigits_Nless_def_1' 'mat/nat_compare_S_S'
0. 'coq/Coq_Arith_Plus_plus_le_compat' 'mat/lt_times'
0. 'coq/Coq_PArith_BinPos_Pos_le_preorder'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_Bool_Bool_andb_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_le_mono' 'mat/divides_times'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftl_ldiff' 'mat/times_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_0' 'mat/eq_OZ_Zopp_OZ'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lor_assoc' 'mat/assoc_times'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_divide_mono_r' 'mat/lt_plus_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_log2_up_succ_log2' 'mat/le_teta'#@#variant
0. 'coq/Coq_fourier_Fourier_util_Rfourier_le'#@#variant 'mat/le_exp'#@#variant
0. 'coq/Coq_Arith_Div2_double_plus' 'mat/Qinv_Qtimes\''
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tminus_def_stable' 'mat/monotonic_sqrt'#@#variant
0. 'coq/Coq_Reals_ROrderedType_ROrder_le_refl' 'mat/divides_n_n'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_nonneg'#@#variant 'mat/not_nf_elim_not/0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_nonneg'#@#variant 'mat/lt_O_nth_prime_n'#@#variant
0. 'coq/Coq_NArith_BinNat_N_land_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_QArith_Qreduction_Qred_comp' 'mat/le_pred'
0. 'coq/Coq_PArith_BinPos_Pos_sub_decr' 'mat/divides_div'
0. 'coq/Coq_Reals_RIneq_Rlt_Rminus'#@#variant 'mat/lt_O_bc'#@#variant
0. 'coq/Coq_Arith_Max_plus_max_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_ZArith_BinInt_Z_lxor_0_l' 'mat/rtimes_one_r'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_nonneg'#@#variant 'mat/prime_nth_prime'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_eq_refl'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_FSets_FSetPositive_PositiveSet_lt_trans' 'mat/trans_divides'
0. 'coq/Coq_Reals_R_sqrt_sqrt_pos' 'mat/lt_O_teta'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_id' 'mat/factorize_defactorize'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_succ_diag_r' 'mat/le_n_Sn'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_le_lin'#@#variant 'mat/lt_sqrt_n'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_max_min_distr' 'mat/distr_times_minus'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftl_shiftl' 'mat/eq_minus_minus_minus_plus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_0'#@#variant 'mat/A_SSSO'#@#variant
0. 'coq/Coq_NArith_Ndigits_Nxor_div2' 'mat/Zopp_Zplus'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_add_r' 'mat/le_plus_n_r'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_pos'#@#variant 'mat/prime_smallest_factor_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_strorder'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_QArith_Qreduction_Qplus_prime_comp' 'mat/le_times'
0. 'coq/Coq_Reals_Rminmax_R_max_le_compat_r' 'mat/lt_plus_l'
0. 'coq/Coq_ZArith_BinInt_Z_mul_0_r' 'mat/Qtimes_q_OQ'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_pos'#@#variant 'mat/le_SSO_fact'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_id' 'mat/orb_refl'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lcm_assoc' 'mat/andb_assoc'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_1_r'#@#variant 'mat/Qtimes_q_OQ'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_pow' 'mat/Zplus_Zpred'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_rem_opp_l_prime' 'mat/Zplus_Zsucc'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_1_l'#@#variant 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_mul_mono_r' 'mat/times_minus_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_max_distr_l' 'mat/distr_times_plus'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_max_distr' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_1_l'#@#variant 'mat/mod_O_n'
0. 'coq/Coq_Arith_Factorial_lt_O_fact'#@#variant 'mat/not_nf_elim_not/0'
0. 'coq/Coq_NArith_BinNat_N_log2_1'#@#variant 'mat/A_SSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_nonneg'#@#variant 'mat/prime_nth_prime'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_decidable' 'mat/decidable_lt'
0. 'coq/Coq_Reals_Rminmax_R_le_min_l' 'mat/divides_gcd_n'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Topp_one_stable' 'mat/injective_nth_prime'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_opp_r' 'mat/plus_n_Sm'
0. 'coq/Coq_QArith_Qabs_Qabs_pos'#@#variant 'mat/divides_smallest_factor_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_PositiveOrderedTypeBits_lt_strorder'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_Strings_Ascii_ascii_nat_embedding' 'mat/factorize_defactorize'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tplus_permute_stable' 'mat/injective_S'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftr_0_l' 'mat/mod_O_n'
0. 'coq/Coq_NArith_BinNat_N_gcd_greatest' 'mat/divides_minus'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_gcd_divide_r' 'mat/divides_gcd_nm/0'
0. 'coq/Coq_Reals_R_sqrt_sqrt_lt_1_alt'#@#variant 'mat/lt_pred'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_compare_refl' 'mat/nat_compare_n_n'
0. 'coq/Coq_ZArith_BinInt_Z_land_lor_distr_r' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_eq_sym'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_gt_cases' 'mat/not_le_to_lt'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_le_mono' 'mat/le_to_le_pred'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_succ_diag_r' 'mat/lt_n_nth_prime_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_opp_diag_r' 'mat/rtimes_rinv'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_succ_diag_r' 'mat/le_n_Sn'
0. 'coq/Coq_NArith_BinNat_N_lxor_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_QArith_Qminmax_Q_OT_eq_equiv'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_le_compat_l' 'mat/le_times_r'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_le_mono' 'mat/lt_to_lt_S_S'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_max_distr' 'mat/Qinv_Qtimes\''
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_min_distr_r' 'mat/times_exp'
0. 'coq/Coq_NArith_BinNat_N_pos_pred_succ' 'mat/factorize_defactorize'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_0_l' 'mat/gcd_O_n'
0. 'coq/Coq_ZArith_BinInt_Z_eq_sym'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_odd_succ' 'mat/pos_n_eq_S_n'
0. 'coq/Coq_NArith_BinNat_N_le_preorder'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_nonneg'#@#variant 'mat/lt_O_fact'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_max_distr_l' 'mat/distr_times_minus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_decidable' 'mat/decidable_le'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_le_mono' 'mat/le_S_S'
0. 'coq/Coq_Reals_Rpower_Rpower_mult' 'mat/eq_minus_minus_minus_plus'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_mul_r' 'mat/exp_exp_times'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_le_compat_l' 'mat/le_times_r'
0. 'coq/Coq_Reals_Rminmax_R_plus_min_distr_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_2'#@#variant 'mat/A_SSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_refl' 'mat/divides_n_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftl_ldiff' 'mat/times_plus_l'
0. 'coq/Coq_Arith_Div2_lt_div2'#@#variant 'mat/lt_sqrt_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_nonneg'#@#variant 'mat/lt_O_teta'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_divide_lcm_l' 'mat/le_plus_n_r'
0. 'coq/Coq_FSets_FSetPositive_PositiveSet_compare_inv' 'mat/nat_compare_n_m_m_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_lt_cancel' 'mat/le_S_S_to_le'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_nonneg'#@#variant 'mat/lt_O_nth_prime_n'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_compare_eq' 'mat/same_atom_to_eq'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_trans' 'mat/trans_lt'
0. 'coq/Coq_NArith_BinNat_N_min_glb_lt' 'mat/divides_plus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_2'#@#variant 'mat/A_SO'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_max_distr_l' 'mat/distr_times_plus'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_1_l' 'mat/Qtimes_Qone_q'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_assoc' 'mat/assoc_times'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_assoc' 'mat/assoc_times'
0. 'coq/Coq_NArith_BinNat_N_lcm_assoc' 'mat/andb_assoc'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_succ_r' 'mat/plus_n_Sm'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_0_l' 'mat/Ztimes_Zone_l'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_even_aux' 'mat/premonoid0'
0. 'coq/Coq_PArith_BinPos_Pos_pred_succ' 'mat/Zpred_Zsucc'
0. 'coq/Coq_ZArith_Zorder_Zgt_succ' 'mat/le_sqrt_n_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mod_small' 'mat/le_to_mod'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_eq_refl'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_eq_trans'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_NArith_BinNat_N_min_le_compat_l' 'mat/le_plus_r'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pred_succ' 'mat/pred_Sn'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_add_pos_r'#@#variant 'mat/O_lt_const_to_le_times_const'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_lt_mono' 'mat/divides_times'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_nonneg' 'mat/lt_O_teta'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_ggcd_greatest' 'mat/R'
0. 'coq/Coq_PArith_BinPos_Pos_add_max_distr_l' 'mat/distr_times_plus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_le_compat' 'mat/le_times'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lcm_1_r'#@#variant 'mat/plus_n_SO'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_log2_log2_up' 'mat/le_B_A'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_1_l' 'mat/rtimes_one_r'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_1_l' 'mat/gcd_O_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_pos_l' 'mat/lt_O_exp'
0. 'coq/Coq_Reals_RIneq_Rplus_gt_compat_l' 'mat/lt_plus_r'
0. 'coq/Coq_NArith_BinNat_N_lor_assoc' 'mat/andbA'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sub_le_mono_r' 'mat/lt_plus_l'
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_1_r'#@#variant 'mat/Ztimes_z_OZ'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_ggcd_correct_divisors' 'mat/leb_to_Prop'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_transitive'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_trans' 'mat/trans_lt'
0. 'coq/Coq_ZArith_Zorder_dec_Zne' 'mat/decidable_lt'
0. 'coq/Coq_Reals_RIneq_Ropp_mult_distr_r_reverse' 'mat/plus_n_Sm'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lor_eq_0_l' 'mat/andb_true_true'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_neq_0_succ' 'mat/not_eq_O_S'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_eqb_refl' 'mat/eqb_n_n'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_min_distr_l' 'mat/distr_times_minus'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_lt_cancel' 'mat/le_S_S_to_le'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_pred_l' 'mat/le_smallest_factor_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_le_mono' 'mat/ltS'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lcm_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_Reals_Rbasic_fun_Rmax_assoc' 'mat/andbA'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_eqb_refl' 'mat/leb_refl'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj' 'mat/inj_neg'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_ldiff_ldiff_l' 'mat/eq_minus_minus_minus_plus'
0. 'coq/Coq_Classes_RelationClasses_iff_Symmetric' 'mat/symmetric_iff'
0. 'coq/Coq_NArith_BinNat_N_pow_mul_r' 'mat/exp_exp_times'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_gcd_divide_l' 'mat/le_minus_m'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_lt_cancel' 'mat/lt_S_S_to_lt'
0. 'coq/Coq_ZArith_Zdiv_Zmod_0_r' 'mat/Ztimes_z_OZ'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lor_assoc' 'mat/andb_assoc'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_lt_mono' 'mat/le_times'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_0_l' 'mat/rtimes_one_r'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sub_min_distr_r' 'mat/times_exp'
0. 'coq/Coq_ZArith_Zgcd_alt_fibonacci_pos'#@#variant 'mat/sieve_sorted'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_0_l' 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_min_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_ZArith_BinInt_Z_add_succ_l' 'mat/Zplus_Zpred'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_le_mono' 'mat/le_pred'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_quot_le_mono'#@#variant 'mat/lt_times_l1'#@#variant
0. 'coq/Coq_Arith_Compare_dec_dec_gt' 'mat/decidable_lt'
0. 'coq/Coq_PArith_BinPos_Pos_sqrt_spec' 'mat/OZ_test_to_Prop'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_1_l' 'mat/rtimes_one_r'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_max_r' 'mat/le_plus_n'
0. 'coq/Coq_Reals_ROrderedType_R_as_OT_eq_equiv'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_le_mono' 'mat/le_to_le_pred'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tminus_def_stable' 'mat/monotonic_A'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_glb_lt' 'mat/divides_plus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lcm_1_l'#@#variant 'mat/Qtimes_Qone_q'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tplus_assoc_l_stable' 'mat/increasing_nth_prime'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_transitive'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_leb_refl' 'mat/nat_compare_n_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_nonneg'#@#variant 'mat/lt_O_teta'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lcm_assoc' 'mat/assoc_times'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_eq_equiv'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_sub_diag' 'mat/minus_n_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_0_r'#@#variant 'mat/exp_n_O0'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_spec_prime/0' 'mat/leq_sqrt_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sub_min_distr_r' 'mat/times_exp'
0. 'coq/Coq_ZArith_BinInt_Z_lnot_0'#@#variant 'mat/B_SSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_add_distr_l' 'mat/distr_times_plus'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_min_distr_l' 'mat/distr_times_plus'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_double_spec'#@#variant 'mat/eq_A_A\''
0. 'coq/Coq_NArith_BinNat_N_compare_refl' 'mat/leb_refl'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_max_distr_l' 'mat/distr_times_plus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_le_mono_nonneg_r' 'mat/lt_times_l1'
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_lcm_r' 'mat/le_plus_n'
0. 'coq/Coq_NArith_BinNat_N_le_min_r' 'mat/divides_gcd_m'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_le_lin'#@#variant 'mat/divides_smallest_factor_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_double_mul' 'mat/Zplus_Zpred'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_le_compat_r' 'mat/lt_plus_l'
0. 'coq/Coq_Logic_ClassicalFacts_FalseP' 'mat/daemon'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_div2'#@#variant 'mat/divides_smallest_factor_n'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_assoc' 'mat/assoc_times'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_assoc' 'mat/andbA'
0. 'coq/Coq_ZArith_BinInt_Z_min_le_compat_l' 'mat/le_times_r'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_nonneg' 'mat/lt_O_S'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lor_assoc' 'mat/assoc_plus'
0. 'coq/Coq_Reals_Rbasic_fun_Ropp_Rmin' 'mat/demorgan1'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_land_assoc' 'mat/andbA'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_lcm_l' 'mat/le_plus_n_r'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_1_l' 'mat/gcd_SO_n'
0. 'coq/Coq_Arith_Compare_dec_dec_ge' 'mat/decidable_lt'
0. 'coq/Coq_Arith_PeanoNat_Nat_b2n_inj' 'mat/inj_pos'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_nle_succ_diag_l' 'mat/not_le_Sn_n'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_pos'#@#variant 'mat/le_SSO_fact'#@#variant
0. 'coq/Coq_Reals_RIneq_Rle_refl' 'mat/divides_n_n'
0. 'coq/Coq_PArith_BinPos_Pos_min_le_compat' 'mat/divides_times'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_gt_cases' 'mat/not_le_to_lt'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_1_l' 'mat/divides_SO_n'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qcnot_lt_le' 'mat/not_lt_to_le'
0. 'coq/Coq_Reals_RIneq_Ropp_mult_distr_l_reverse' 'mat/Zplus_Zsucc'
0. 'coq/Coq_QArith_Qcanon_Qcmult_le_compat_r'#@#variant 'mat/lt_times_l1'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_sub_decr' 'mat/divides_div'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_sub_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_quotrem_eq' 'mat/eqfb_to_Prop'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lcm_0_r' 'mat/Qtimes_q_OQ'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_land_0_r' 'mat/Ztimes_z_OZ'
0. 'coq/Coq_PArith_BinPos_Pos_ggcd_correct_divisors' 'mat/eqb_to_Prop'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_1_l'#@#variant 'mat/rtimes_one_r'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_ggcd_correct_divisors' 'mat/leb_to_Prop'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mod_small' 'mat/lt_to_eq_mod'
0. 'coq/Coq_Numbers_Cyclic_DoubleCyclic_DoubleBase_lt_0_wB'#@#variant 'mat/sieve_sorted'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_nonneg' 'mat/le_SO_fact'#@#variant
0. 'coq/Coq_Reals_RIneq_Rgt_or_ge' 'mat/not_le_to_lt'
0. 'coq/Coq_Reals_Rtrigo1_SIN_bound/0'#@#variant 'mat/lt_O_nth_prime_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_decidable' 'mat/decidable_le'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_add_distr_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Arith_PeanoNat_Nat_sub_0_l' 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_max_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_Reals_RIneq_Rplus_gt_compat_r' 'mat/lt_plus_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lxor_0_l' 'mat/Ztimes_Zone_l'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_0_r'#@#variant 'mat/exp_n_O0'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftl_succ_r' 'mat/eq_minus_S_pred'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_transitive'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_NArith_BinNat_N_leb_refl' 'mat/leb_refl'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftl_ldiff' 'mat/times_plus_l'
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_transitive'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mod_1_l'#@#variant 'mat/exp_n_O'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_min_l' 'mat/divides_gcd_nm/1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div_eucl_spec' 'mat/leb_to_Prop'
0. 'coq/Coq_Arith_PeanoNat_Nat_land_lor_distr_r' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_le_mono' 'mat/lt_to_lt_S_S'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_lt_mono' 'mat/lt_plus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lxor_m1_r'#@#variant 'mat/plus_n_SO'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_gcd_divide_l' 'mat/divides_gcd_nm/1'
0. 'coq/Coq_ZArith_BinInt_Z_le_trans' 'mat/trans_divides'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_sub_l' 'mat/divides_gcd_n'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_eq_trans'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_Bool_Bool_andb_false_l' 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_1_l' 'mat/divides_SO_n'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_succ_max_distr' 'mat/Qinv_Qtimes\''
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_preorder'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_transitive'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_divide/0' 'mat/le_minus_m'
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_transitive'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_PArith_Pnat_Pos2Nat_is_pos'#@#variant 'mat/sieve_sorted'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lor_assoc' 'mat/andb_assoc'
0. 'coq/Coq_ZArith_BinInt_Z_pred_min_distr' 'mat/Qinv_Qtimes\''
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_lt_mono' 'mat/le_plus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_assoc' 'mat/assoc_times'
0. 'coq/Coq_NArith_BinNat_N_eq_mul_0_r' 'mat/eq_Qtimes_OQ_to_eq_OQ'
0. 'coq/Coq_ZArith_BinInt_Z_quotrem_eq' 'mat/Z_compare_to_Prop'
0. 'coq/Coq_Reals_Rminmax_R_OT_eq_equiv'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lxor_assoc' 'mat/andb_assoc'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_specif/0' 'mat/leq_sqrt_n'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_land_m1_l'#@#variant 'mat/Ztimes_Zone_l'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_le_lin'#@#variant 'mat/divides_smallest_factor_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_pos_l'#@#variant 'mat/lt_O_exp'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_pos_sub_discr' 'mat/Z_compare_to_Prop'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lxor_assoc' 'mat/andbA'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_1_l' 'mat/Ztimes_Zone_l'
0. 'coq/Coq_Arith_Lt_lt_S_n' 'mat/le_S_S_to_le'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_eq_refl'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mod_small' 'mat/lt_to_eq_mod'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_eq_1_r' 'mat/andb_true_true_r'
0. 'coq/Coq_NArith_BinNat_N_log2_nonneg'#@#variant 'mat/not_nf_elim_not/0'
0. 'coq/Coq_Reals_RIneq_Rinv_1' 'mat/eq_OZ_Zopp_OZ'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_trans' 'mat/trans_lt'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_diag' 'mat/orb_refl'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_0_l' 'mat/mod_O_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_pred_l' 'mat/Zplus_Zsucc'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_eq_refl'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_assoc' 'mat/assoc_times'
0. 'coq/Coq_Arith_Gt_gt_S_n' 'mat/lt_S_S_to_lt'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_succ_r_prime' 'mat/exp_S'
0. 'coq/Coq_NArith_BinNat_N_mod_1_r'#@#variant 'mat/bc_n_O'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_sub_lt' 'mat/eq_div_O'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_ggcd_greatest' 'mat/R'
0. 'coq/Coq_Reals_RIneq_Rplus_gt_reg_l' 'mat/lt_plus_to_lt_r'
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_0_l' 'mat/Ztimes_Zone_l'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_sub_mask_neg' 'mat/le_to_leb_true'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_le_mono' 'mat/lt_times'
0. 'coq/Coq_QArith_QOrderedType_Q_as_DT_eq_equiv'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_pred_succ' 'mat/Zsucc_Zpred'
0. 'coq/Coq_ZArith_BinInt_Z_sgn_0' 'mat/A_SSO'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_add_r' 'mat/le_plus_n_r'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_min_distr_l' 'mat/distr_times_minus'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_eqb_refl' 'mat/nat_compare_n_n'
0. 'coq/Coq_Reals_R_Ifp_fp_R0' 'mat/A_SSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_ltb_irrefl' 'mat/nat_compare_n_n'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lor_m1_l'#@#variant 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sub_add' 'mat/plus_minus_m_m'
0. 'coq/Coq_ZArith_BinInt_Z_ldiff_m1_r'#@#variant 'mat/exp_n_O0'#@#variant
0. 'coq/Coq_NArith_BinNat_N_max_le_compat' 'mat/le_times'
0. 'coq/Coq_ZArith_BinInt_Z_abs_nonneg' 'mat/le_SO_fact'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_0_succ'#@#variant 'mat/lt_O_S'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_lt_mono' 'mat/lt_plus'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_b2n_inj' 'mat/inj_pos'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_land_0_r' 'mat/times_n_O'
0. 'coq/Coq_Arith_Plus_plus_lt_compat' 'mat/lt_plus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_lt_mono' 'mat/le_times'
0. 'coq/Coq_Reals_Rtrigo1_cos_pi2' 'mat/A_SSSO'#@#variant
0. 'coq/Coq_ZArith_Zbool_Zgt_cases' 'mat/Z_compare_to_Prop'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_min_distr_l' 'mat/distr_times_plus'
0. 'coq/Coq_ZArith_BinInt_Z_divide_transitive'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_NArith_BinNat_N_lcm_assoc' 'mat/andbA'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_lt_lin'#@#variant 'mat/divides_smallest_factor_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_1_l'#@#variant 'mat/Qtimes_Qone_q'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_sub_le' 'mat/eq_div_O'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_land_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_land_lor_distr_r' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_QArith_QArith_base_Qle_trans' 'mat/trans_divides'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_le_lin' 'mat/le_smallest_factor_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_eq_trans'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_log2_2'#@#variant 'mat/B_SSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lor_land_distr_l' 'mat/times_exp'
0. 'coq/Coq_NArith_BinNat_N_two_succ'#@#variant 'mat/A_SSSO'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_square_nonneg'#@#variant 'mat/id_axiom'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pos_sub_discr' 'mat/Z_compare_to_Prop'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_le_mono' 'mat/lt_times'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_0' 'mat/A_SO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_m1'#@#variant 'mat/A_SSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_le_mono' 'mat/le_pred'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_max_distr' 'mat/distr_times_minus'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_nonneg'#@#variant 'mat/lt_O_fact'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_strorder'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_Reals_RIneq_eq_IZR' 'mat/inj_neg'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_ggcd_correct_divisors' 'mat/nat_compare_to_Prop'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_0' 'mat/A_SO'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tmult_plus_distr_stable' 'mat/monotonic_A'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_lt_mono' 'mat/divides_times'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_0_succ' 'mat/lt_O_nth_prime_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lcm_assoc' 'mat/andb_assoc'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_succ_diag_r' 'mat/le_n_fact_n'
0. 'coq/Coq_ZArith_BinInt_Z_add_lt_mono' 'mat/divides_times'
0. 'coq/Coq_QArith_QOrderedType_QOrder_eq_trans' 'mat/trans_lt'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_0' 'mat/A_SSO'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_pos'#@#variant 'mat/lt_O_nth_prime_n'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sub_succ_l' 'mat/minus_Sn_m'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_le_compat_r' 'mat/le_times_l'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_min_distr_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_le_mono' 'mat/ltS'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_le_lin'#@#variant 'mat/lt_sqrt_n'#@#variant
0. 'coq/Coq_NArith_BinNat_N_log2_up_nonneg'#@#variant 'mat/lt_O_S'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ggcd_correct_divisors' 'mat/Z_compare_to_Prop'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_irrefl' 'mat/Not_lt_n_n'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_double_spec'#@#variant 'mat/eq_A_A\''
0. 'coq/Coq_NArith_BinNat_N_max_le_compat_l' 'mat/le_plus_r'
0. 'coq/Coq_ZArith_BinInt_Z_log2_le_lin'#@#variant 'mat/lt_sqrt_n'#@#variant
0. 'coq/Coq_Reals_RIneq_Rplus_ne/1' 'mat/Qtimes_Qone_q'
0. 'coq/Coq_PArith_BinPos_Pos_lt_trans' 'mat/trans_lt'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_assoc' 'mat/andbA'
0. 'coq/Coq_ZArith_Zdiv_Zdiv_le_upper_bound'#@#variant 'mat/le_times_to_le_div2'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_sqrt_spec' 'mat/PreMonoid_OF_Group'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_eq_0_r' 'mat/eq_plus_n_m_O_to_eq_m_O'
0. 'coq/Coq_Numbers_Cyclic_Int31_Ring31_eqb31_correct' 'mat/same_atom_to_eq'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lxor_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_eq_sym'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lcm_assoc' 'mat/assoc_plus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_0_l' 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_lt_cancel' 'mat/ltS\''
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_0_l' 'mat/Ztimes_Zone_l'
0. 'coq/Coq_QArith_Qcanon_Qcmult_integral'#@#variant 'mat/times_O_to_O'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_ltb_irrefl' 'mat/nat_compare_n_n'
0. 'coq/Coq_Arith_Div2_even_double' 'mat/S_pred'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_eq_trans'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_strorder'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_0_succ'#@#variant 'mat/prime_nth_prime'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_le_compat' 'mat/lt_plus'
0. 'coq/Coq_Init_Peano_pred_Sn' 'mat/pred_Sn'
0. 'coq/Coq_PArith_BinPos_Pos_add_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_Arith_Lt_lt_n_S' 'mat/le_pred'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_0_r' 'mat/bc_n_O'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_sub_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_NArith_BinNat_N_lor_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_1_l'#@#variant 'mat/mod_O_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_land_assoc' 'mat/assoc_times'
0. 'coq/Coq_NArith_BinNat_N_sqrt_0' 'mat/A_SSO'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_min_l' 'mat/divides_gcd_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div_eucl_spec' 'mat/R'
0. 'coq/Coq_NArith_BinNat_N_sqrtrem_spec' 'mat/pregroup'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_nonneg'#@#variant 'mat/lt_O_S'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_div_lt' 'mat/lt_div_n_m_n'
0. 'coq/Coq_Reals_RIneq_double'#@#variant 'mat/times_SSO_n'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_sin_PI2'#@#variant 'mat/B_SSSSO'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_max_distr_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_NArith_BinNat_N_sub_add' 'mat/divides_to_div'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_ltb_irrefl' 'mat/eqb_n_n'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_lt_mono' 'mat/le_plus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_le_lin'#@#variant 'mat/divides_smallest_factor_n'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_nonneg' 'mat/lt_O_S'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_trans' 'mat/trans_divides'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_le_compat_r' 'mat/le_times_l'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_rem_1_r'#@#variant 'mat/bc_n_O'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lcm_0_r' 'mat/Ztimes_z_OZ'
0. 'coq/Coq_NArith_BinNat_N_lxor_nilpotent' 'mat/bc_n_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_min_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_pred_succ' 'mat/Zpred_Zsucc'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lcm_0_r' 'mat/Ztimes_z_OZ'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_ggcd_correct_divisors' 'mat/eqZb_to_Prop'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_le_incl' 'mat/lt_to_le'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_le_mono' 'mat/le_to_le_pred'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_lt_trans' 'mat/le_to_lt_to_lt'
0. 'coq/Coq_Reals_RIneq_Rinv_mult_distr' 'mat/Qinv_Qtimes'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_pos_r'#@#variant 'mat/lt_O_gcd'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_0_l' 'mat/Qtimes_Qone_q'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_le_mono' 'mat/le_S_S'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_trans' 'mat/trans_le'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sub_min_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lcm_assoc' 'mat/andb_assoc'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_eq_equiv'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_lt_mono' 'mat/le_plus'
0. 'coq/Coq_ZArith_Znumtheory_rel_prime_mult' 'mat/divides_minus'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_lt_mono' 'mat/le_plus'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_compare_xI_xI' 'mat/nat_compare_S_S'
0. 'coq/Coq_ZArith_Zorder_dec_Zgt' 'mat/decidable_lt'
0. 'coq/Coq_NArith_BinNat_N_gcd_mul_mono_l' 'mat/distr_times_minus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_assoc' 'mat/andbA'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_succ_not_1' 'mat/not_eq_O_S'
0. 'coq/Coq_ZArith_BinInt_Z_max_le_compat_l' 'mat/le_times_r'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_nonneg_r' 'mat/lt_exp1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_trans' 'mat/trans_lt'
0. 'coq/Coq_ZArith_BinInt_Z_divide_pos_le'#@#variant 'mat/divides_to_le'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_pos'#@#variant 'mat/prime_smallest_factor_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_add_r' 'mat/le_plus_n_r'
0. 'coq/Coq_NArith_BinNat_N_one_succ'#@#variant 'mat/B_SSSSO'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_decidable' 'mat/decidable_le'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_eq_equiv'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_preorder'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_lt_mono' 'mat/lt_plus'
0. 'coq/Coq_ZArith_BinInt_Z_pow_mul_r' 'mat/eq_div_div_div_times'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_two_succ'#@#variant 'mat/A_SSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_nonneg' 'mat/lt_O_exp'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_log2_log2_up' 'mat/le_B_A'
0. 'coq/Coq_ZArith_BinInt_Z_lnot_involutive' 'mat/opposite_direction_idempotent'
0. 'coq/Coq_ZArith_Zmax_Zmax_left' 'mat/lt_to_eq_mod'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_1'#@#variant 'mat/A_SSSO'#@#variant
0. 'coq/Coq_NArith_BinNat_N_log2_nonneg'#@#variant 'mat/lt_O_nth_prime_n'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_1_l' 'mat/Zpred_Zplus_neg_O'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_preorder'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_double_inj' 'mat/not_eq_S'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_Reals_RIneq_Rle_lt_trans' 'mat/le_to_lt_to_lt'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_1_succ' 'mat/lt_O_fact'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_strorder'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_lt_cancel' 'mat/lt_S_S_to_lt'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_0'#@#variant 'mat/B_SSSSO'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_0' 'mat/A_SO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_nonneg'#@#variant 'mat/lt_O_teta'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_succ_max_distr' 'mat/Qinv_Qtimes\''
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_lt_mono' 'mat/divides_times'
0. 'coq/Coq_ZArith_BinInt_Z_shiftr_ldiff' 'mat/times_exp'
0. 'coq/Coq_PArith_BinPos_Pos_min_max_distr' 'mat/distr_times_plus'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_divide_mono_l' 'mat/le_plus_r'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_eq_decidable' 'mat/bool_to_decidable_eq'
0. 'coq/Coq_ZArith_Zorder_dec_Zge' 'mat/decidable_lt'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_eq_0_r' 'mat/times_O_to_O'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_succ_l' 'mat/Zplus_Zsucc'
0. 'coq/Coq_QArith_QArith_base_Qinv_le_0_compat'#@#variant 'mat/lt_SO_smallest_factor'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_1_l'#@#variant 'mat/gcd_O_n'
0. 'coq/Coq_ZArith_BinInt_Z_lt_add_pos_l'#@#variant 'mat/lt_m_exp_nm'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_le_mono_r'#@#variant 'mat/le_log'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qclt_le_trans' 'mat/lt_to_le_to_lt'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lor_assoc' 'mat/andbA'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_0_l' 'mat/gcd_O_n'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_eq_refl'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_le_mono' 'mat/le_to_le_pred'
0. 'coq/Coq_Reals_Rprod_le_n_2n'#@#variant 'mat/le_n_fact_n'
0. 'coq/Coq_NArith_BinNat_N_lcm_0_r' 'mat/Ztimes_z_OZ'
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono' 'mat/lt_times'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lcm_mul_mono_l' 'mat/distr_times_plus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_lt_mono' 'mat/divides_times'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_neq_pred_l' 'mat/not_eq_n_Sn'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_diag' 'mat/times_SSO_n'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_1'#@#variant 'mat/A_SO'#@#variant
0. 'coq/Coq_Arith_Mult_mult_le_compat' 'mat/le_plus'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_eq_refl'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_lt_mono' 'mat/lt_plus'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_0_succ'#@#variant 'mat/lt_SO_nth_prime_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ltb_irrefl' 'mat/leb_refl'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_ltb_irrefl' 'mat/leb_refl'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_lt_cancel' 'mat/ltS\''
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div_le_lower_bound'#@#variant 'mat/le_times_to_le_div'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_T_OMEGA12_stable' 'mat/injective_S'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lxor_0_l' 'mat/rtimes_one_r'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_lt_cancel' 'mat/ltS\''
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_reflexive'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pred_le_mono' 'mat/le_S_S'
0. 'coq/Coq_Init_Peano_plus_Sn_m' 'mat/Zplus_Zsucc'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_divide/0' 'mat/divides_gcd_nm/1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_assoc' 'mat/andb_assoc'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_le_compat_r' 'mat/lt_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lor_0_l' 'mat/gcd_O_n'
0. 'coq/Coq_Init_Peano_min_l' 'mat/le_to_mod'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_xO' 'mat/Zopp_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_0_l' 'mat/mod_O_n'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_nonneg' 'mat/lt_O_fact'
0. 'coq/Coq_Reals_RIneq_Rmult_lt_reg_l' 'mat/lt_times_n_to_lt_r'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_lt_mono_r'#@#variant 'mat/le_exp'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qclt_trans' 'mat/trans_lt'
0. 'coq/Coq_Reals_Raxioms_Rmult_lt_compat_l'#@#variant 'mat/le_exp'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_mul_1_l' 'mat/Qtimes_Qone_q'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_sub_lt_add_l' 'mat/lt_minus_to_lt_plus'
0. 'coq/Coq_Init_Peano_plus_n_Sm' 'mat/plus_n_Sm'
0. 'coq/Coq_Reals_RIneq_Rle_0_sqr' 'mat/le_SO_fact'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_nonneg' 'mat/lt_O_teta'
0. 'coq/Coq_NArith_BinNat_N_lxor_assoc' 'mat/assoc_times'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_sub_l' 'mat/divides_gcd_n'
0. 'coq/Coq_ZArith_BinInt_Z_shiftl_lxor' 'mat/times_minus_l'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_eq_trans'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_NArith_BinNat_N_divide_reflexive'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_gt_lin_r'#@#variant 'mat/lt_m_exp_nm'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div_small' 'mat/lt_to_div_O'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_max_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_pow2'#@#variant 'mat/S_pred'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_add_min_distr_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_transitive'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_r' 'mat/le_times_l'
0. 'coq/Coq_PArith_BinPos_Pos_eq_sym'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_lt_0' 'mat/ltn_to_ltO'
0. 'coq/Coq_Bool_Bool_andb_true_l' 'mat/gcd_O_n'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_0' 'mat/A_SO'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_strorder'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_compare_refl' 'mat/nat_compare_n_n'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_spec_is_even' 'mat/premonoid0'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_le_compat_l' 'mat/lt_plus_r'
0. 'coq/Coq_NArith_BinNat_N_log2_nonneg'#@#variant 'mat/lt_O_fact'#@#variant
0. 'coq/Coq_Reals_RIneq_Rle_0_sqr' 'mat/lt_O_teta'
0. 'coq/Coq_Reals_Rpower_ln_inv'#@#variant 'mat/eq_pred_to_eq'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_nonneg' 'mat/lt_O_nth_prime_n'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono' 'mat/le_times'
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_nonneg' 'mat/lt_O_teta'
0. 'coq/Coq_Reals_Raxioms_Rplus_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lor_assoc' 'mat/andbA'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tplus_assoc_r_stable' 'mat/injective_S'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_ltb_irrefl' 'mat/nat_compare_n_n'
0. 'coq/Coq_Reals_Rbasic_fun_Ropp_Rmax' 'mat/demorgan1'
0. 'coq/Coq_ZArith_BinInt_Z_gcd_assoc' 'mat/assoc_times'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_min_distr_l' 'mat/distr_times_minus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sub_min_distr_r' 'mat/times_exp'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_2'#@#variant 'mat/B_SSSSO'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_diag' 'mat/orb_refl'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_l' 'mat/lt_to_eq_mod'
0. 'coq/Coq_ZArith_BinInt_Z_divide_add_r' 'mat/divides_minus'
0. 'coq/Coq_NArith_BinNat_N_lcm_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_succ_l' 'mat/Zplus_Zpred'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_ltb_irrefl' 'mat/ltb_refl'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_dec_eq' 'mat/decidable_eq_Z'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_div_eucl' 'mat/nat_compare_to_Prop'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_nlt_succ_diag_l' 'mat/not_le_Sn_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_1_l'#@#variant 'mat/exp_n_O'#@#variant
0. 'coq/Coq_Reals_Rpower_ln_exp' 'mat/Zpred_Zsucc'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_lt_mono' 'mat/le_plus'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_min_distr' 'mat/Zopp_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_eq_trans'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_eqb_refl' 'mat/ltb_refl'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_lt_mono' 'mat/le_plus'
0. 'coq/Coq_NArith_BinNat_N_lt_0_succ' 'mat/lt_O_teta'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lcm_mul_mono_l' 'mat/distr_times_minus'
0. 'coq/Coq_fourier_Fourier_util_Rfourier_le'#@#variant 'mat/lt_times_r1'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qcmult_assoc' 'mat/assoc_plus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_1_r' 'mat/div_SO'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_sqrt_spec' 'mat/primeb_to_Prop'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_lt_lin' 'mat/lt_sqrt_n'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_le_mono' 'mat/ltS'
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_eq_0_r' 'mat/andb_true_true_r'
0. 'coq/Coq_NArith_BinNat_N_eq_trans'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_min_l' 'mat/le_minus_m'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lcm_0_l' 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pos_sub_discr' 'mat/leb_to_Prop'
0. 'coq/Coq_PArith_BinPos_Pos_succ_inj' 'mat/not_eq_S'
0. 'coq/Coq_Arith_PeanoNat_Nat_lor_land_distr_r' 'mat/distr_times_minus'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_assoc' 'mat/assoc_times'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lnot_ones' 'mat/orb_not_b_b'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_le_mono' 'mat/lt_plus'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_lt_cancel' 'mat/ltS\''
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_0_succ' 'mat/lt_O_teta'
0. 'coq/Coq_Classes_RelationClasses_iff_Symmetric' 'mat/impl_trans'
0. 'coq/Coq_Bool_Bool_eqb_negb2' 'mat/Zplus_Zopp'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_ldiff_diag' 'mat/minus_n_n'
0. 'coq/Coq_Arith_PeanoNat_Nat_lor_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_nonneg'#@#variant 'mat/lt_O_fact'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_two_succ'#@#variant 'mat/B_SSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_0_succ' 'mat/lt_O_S'
0. 'coq/Coq_Reals_Rtrigo1_cos_PI'#@#variant 'mat/B_SSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_min_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_assoc' 'mat/assoc_plus'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_2'#@#variant 'mat/B_SSSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_unique_prime' 'mat/gcd1'
0. 'coq/Coq_Reals_Rsqrt_def_pow_2_n_neq_R0' 'mat/not_eq_numerator_nfa_zero'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_lt_cancel' 'mat/le_S_S_to_le'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_land_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_ZArith_BinInt_Z_lor_0_l' 'mat/gcd_O_n'
0. 'coq/Coq_ZArith_BinInt_Z_leb_refl' 'mat/nat_compare_n_n'
0. 'coq/Coq_Arith_Le_le_n_S' 'mat/lt_to_lt_S_S'
0. 'coq/Coq_PArith_BinPos_Pos_sqrt_spec' 'mat/premonoid0'
0. 'coq/Coq_QArith_Qabs_Qabs_pos'#@#variant 'mat/lt_sqrt_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sub_le_mono_r' 'mat/le_times_l'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_lt_0' 'mat/ltn_to_ltO'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_pred_l' 'mat/le_smallest_factor_n'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_nonneg'#@#variant 'mat/lt_O_teta'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_0_r' 'mat/Qtimes_q_OQ'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_trans' 'mat/trans_le'
0. 'coq/Coq_Arith_PeanoNat_Nat_lor_assoc' 'mat/andbA'
0. 'coq/Coq_NArith_BinNat_N_eq_sym'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_Reals_RIneq_Rge_trans' 'mat/trans_divides'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_nle_succ_0' 'mat/not_le_Sn_O'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_ltb_irrefl' 'mat/ltb_refl'
0. 'coq/Coq_FSets_FSetPositive_PositiveSet_compare_eq' 'mat/leb_true_to_le'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_strorder'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_Reals_Exp_prop_exp_pos' 'mat/lt_O_teta'
0. 'coq/Coq_NArith_BinNat_N_lcm_1_l'#@#variant 'mat/Ztimes_Zone_l'
0. 'coq/Coq_ZArith_BinInt_Z_min_le_compat' 'mat/divides_times'
0. 'coq/Coq_PArith_BinPos_Pos_succ_min_distr' 'mat/Qinv_Qtimes\''
0. 'coq/Coq_Reals_RIneq_Rplus_opp_l' 'mat/minus_Sn_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ldiff_ldiff_l' 'mat/eq_minus_minus_minus_plus'
0. 'coq/Coq_QArith_QArith_base_Qplus_le_compat' 'mat/lt_plus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftr_0_l' 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_add_carry_reg_r' 'mat/inj_plus_l'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_nonneg' 'mat/lt_O_teta'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_lcm_r' 'mat/le_plus_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_0_l' 'mat/divides_SO_n'#@#variant
0. 'coq/Coq_NArith_Ndec_Neqb_complete' 'mat/eqb_true_to_eq'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_succ_diag_r' 'mat/le_n_Sn'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_add_le_sub_r' 'mat/le_plus_to_minus_r'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_gt_cases' 'mat/not_lt_to_le'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_eq_trans'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_nonneg'#@#variant 'mat/lt_O_fact'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_lt_mono' 'mat/lt_plus'
0. 'coq/Coq_Arith_PeanoNat_Nat_lxor_nilpotent' 'mat/minus_n_n'
0. 'coq/Coq_Arith_PeanoNat_Nat_land_assoc' 'mat/assoc_plus'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_nonneg'#@#variant 'mat/lt_SO_nth_prime_n'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_lt_mono_r'#@#variant 'mat/lt_exp'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_sqrt_spec' 'mat/magma0'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_min_distr' 'mat/distr_times_minus'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrtrem_spec' 'mat/Magma_OF_Group'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_id' 'mat/orb_refl'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_1'#@#variant 'mat/A_SSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_mul_mono_r' 'mat/times_exp'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lcm_0_r' 'mat/times_n_O'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_lt_cancel' 'mat/lt_S_S_to_lt'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lcm_mul_mono_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lcm_assoc' 'mat/andbA'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_le_mono' 'mat/lt_to_lt_S_S'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_assoc' 'mat/assoc_plus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_le_mono' 'mat/le_S_S'
0. 'coq/Coq_ZArith_Zquot_Zquot_0_l' 'mat/mod_O_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_div_1_r' 'mat/div_SO'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_double_succ' 'mat/times_SSO'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_compare_antisym' 'mat/nat_compare_n_m_m_n'
0. 'coq/Coq_PArith_BinPos_Pos_le_lt_trans' 'mat/le_to_lt_to_lt'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_2'#@#variant 'mat/A_SSSO'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_succ_l' 'mat/Zplus_Zpred'
0. 'coq/Coq_ZArith_Zdiv_Zmod_0_l' 'mat/mod_O_n'
0. 'coq/Coq_QArith_QOrderedType_QOrder_eq_trans' 'mat/trans_le'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lxor_nilpotent' 'mat/minus_n_n'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_succ_le' 'mat/times_SSO_pred'#@#variant
0. 'coq/Coq_Reals_ROrderedType_R_as_OT_eq_equiv'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_le_mono' 'mat/le_S_S'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_max_distr' 'mat/distr_times_plus'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_b2n_inj' 'mat/inj_pos'
0. 'coq/Coq_PArith_BinPos_Pos_add_min_distr_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_sub_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_trans' 'mat/trans_lt'
0. 'coq/Coq_ZArith_BinInt_Z_rem_1_r'#@#variant 'mat/exp_n_O0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_opp_diag_r' 'mat/rtimes_rinv'
0. 'coq/Coq_Arith_Plus_le_plus_r' 'mat/le_plus_n'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_2'#@#variant 'mat/A_SSSO'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_log2_nonneg' 'mat/lt_O_S'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_le_compat_r' 'mat/le_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mod_1_r'#@#variant 'mat/exp_n_O0'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_sub_1_r' 'mat/plus_n_SO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_max_distr' 'mat/Qinv_Qtimes\''
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_assoc' 'mat/assoc_plus'
0. 'coq/Coq_Reals_RIneq_Ropp_mult_distr_l' 'mat/Zplus_Zsucc'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pred_le_mono' 'mat/le_to_le_pred'
0. 'coq/Coq_Classes_CRelationClasses_impl_Transitive_obligation_1' 'mat/iff_trans'
0. 'coq/Coq_Reals_Ratan_atan_1'#@#variant 'mat/B_SSSO'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mod_1_r'#@#variant 'mat/mod_SO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_ZArith_BinInt_Z_mul_eq_0_r' 'mat/eq_Qtimes_OQ_to_eq_OQ'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftr_land' 'mat/times_minus_l'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_le_compat_r' 'mat/le_times_l'
0. 'coq/Coq_NArith_BinNat_N_mul_lt_mono' 'mat/le_times'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_le_compat_l' 'mat/lt_plus_r'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_le_mono' 'mat/le_S_S'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_nonneg' 'mat/lt_O_nth_prime_n'
0. 'coq/Coq_Arith_PeanoNat_Nat_lxor_assoc' 'mat/assoc_plus'
0. 'coq/Coq_NArith_BinNat_N_le_preorder'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_sub_r' 'mat/divides_minus'
0. 'coq/Coq_Reals_Rpower_Rpower_O'#@#variant 'mat/log_SO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_sqrt_spec' 'mat/magma0'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_eq_refl'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_sub_distr_r' 'mat/times_exp'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_0_succ'#@#variant 'mat/prime_nth_prime'
0. 'coq/Coq_Reals_Rpower_exp_lt_inv' 'mat/lt_S_S_to_lt'
0. 'coq/Coq_PArith_BinPos_Pos_mul_max_distr_l' 'mat/distr_times_plus'
0. 'coq/Coq_Reals_DiscrR_IZR_neq' 'mat/inj_neg'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_trans' 'mat/trans_lt'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_gcd_greatest' 'mat/divides_minus'
0. 'coq/Coq_NArith_BinNat_N_mul_eq_0_r' 'mat/times_O_to_O'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_eq_equiv'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_min_le_compat' 'mat/lt_times'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_trans' 'mat/trans_divides'
0. 'coq/Coq_Reals_Rminmax_R_plus_max_distr_l' 'mat/distr_times_minus'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_1_r'#@#variant 'mat/times_n_O'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_0_l' 'mat/Qtimes_Qone_q'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_min_distr' 'mat/distr_times_plus'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_eq_refl'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_succ_r_prime' 'mat/exp_S'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_eq_0_r' 'mat/andb_true_true_r'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_eq_trans'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_0_succ' 'mat/lt_O_nth_prime_n'
0. 'coq/Coq_Arith_Compare_dec_nat_compare_Gt_gt' 'mat/divides_b_true_to_divides'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_lt_lin' 'mat/lt_sqrt_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_r' 'mat/le_times_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_0_succ'#@#variant 'mat/not_nf_elim_not/0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_0' 'mat/A_SSO'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_0_l' 'mat/Qtimes_Qone_q'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_nonneg'#@#variant 'mat/not_nf_elim_not/0'
0. 'coq/Coq_Reals_Rminmax_R_min_le_compat' 'mat/divides_times'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lcm_assoc' 'mat/andbA'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_max_distr_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_ZArith_BinInt_Z_le_preorder'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_0' 'mat/A_SO'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zmult_lt_compat_l'#@#variant 'mat/le_log'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftr_lxor' 'mat/times_plus_l'
0. 'coq/Coq_ZArith_Znumtheory_not_prime_1'#@#variant 'mat/not_prime_O'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_refl' 'mat/divides_n_n'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_le_compat_r' 'mat/lt_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_0_r' 'mat/Ztimes_z_OZ'
0. 'coq/Coq_NArith_BinNat_N_lor_land_distr_r' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftl_lxor' 'mat/times_minus_l'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_1_succ' 'mat/lt_O_S'
0. 'coq/Coq_NArith_BinNat_N_log2_up_1'#@#variant 'mat/B_SSSO'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_glb' 'mat/divides_minus'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_2'#@#variant 'mat/A_SSSO'#@#variant
0. 'coq/Coq_NArith_BinNat_N_log2_lt_lin'#@#variant 'mat/lt_sqrt_n'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_neq_succ_diag_l' 'mat/not_le_Sn_n'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_Measure_instance_0' 'mat/injective_frac'
0. 'coq/Coq_Reals_Rpower_ln_1' 'mat/B_SSSO'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_nonneg'#@#variant 'mat/lt_O_nth_prime_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_lt_lin'#@#variant 'mat/lt_sqrt_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_inj_r'#@#variant 'mat/inj_times_r1'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qcopp_involutive' 'mat/notb_notb'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_le_compat_r' 'mat/lt_plus_l'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_min_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_1_l' 'mat/rtimes_one_r'
0. 'coq/Coq_Init_Datatypes_sum_ind' 'mat/Sum_ind'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_assoc' 'mat/andb_assoc'
0. 'coq/Coq_PArith_BinPos_Pos_eq_sym'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qcopp_involutive' 'mat/eq_notb_notb_b_b'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_sqrt_up_succ_sqrt' 'mat/le_teta'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_le_compat_r' 'mat/le_times_l'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_0_r'#@#variant 'mat/exp_n_O0'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_lt_strorder'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_Init_Datatypes_CompOpp_involutive' 'mat/eq_notb_notb_b_b'
0. 'coq/Coq_ZArith_BinInt_Z_add_min_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_sub_distr_l' 'mat/distr_times_plus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_compare_refl' 'mat/nat_compare_n_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_1'#@#variant 'mat/A_SSSO'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_ggcd_greatest' 'mat/ltb_to_Prop'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_0_l' 'mat/rtimes_one_r'
0. 'coq/Coq_Reals_Rminmax_RHasMinMax_min_l' 'mat/le_to_mod'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_divide_mono_l' 'mat/le_times_r'
0. 'coq/Coq_Reals_Rtrigo1_continuity_cos' 'mat/injective_nth_prime'#@#variant
0. 'coq/Coq_NArith_BinNat_N_div2_double' 'mat/Zsucc_Zpred'
0. 'coq/Coq_ZArith_BinInt_Z_quotrem_eq' 'mat/R'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_nonneg'#@#variant 'mat/lt_O_exp'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_0_l' 'mat/Ztimes_Zone_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_eq_equiv'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lcm_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_double_spec'#@#variant 'mat/eq_B_B1'
0. 'coq/Coq_Arith_EqNat_beq_nat_false' 'mat/eqb_false_to_not_eq'
0. 'coq/Coq_Reals_RIneq_Rplus_ge_compat' 'mat/le_plus'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_nonneg'#@#variant 'mat/lt_SO_nth_prime_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lor_0_l' 'mat/Qtimes_Qone_q'
0. 'coq/Coq_QArith_Qreduction_Qminus_prime_comp' 'mat/le_plus'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_nonneg'#@#variant 'mat/lt_O_S'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_0_l' 'mat/rtimes_one_r'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_eq_sym'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_nonneg'#@#variant 'mat/prime_nth_prime'
0. 'coq/Coq_Reals_Ratan_atan_increasing' 'mat/ltS'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_1_l'#@#variant 'mat/rtimes_one_r'
0. 'coq/Coq_Arith_PeanoNat_Nat_pred_succ' 'mat/Zsucc_Zpred'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_gt_cases' 'mat/not_lt_to_le'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_2'#@#variant 'mat/B_SSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sub_add' 'mat/divides_to_div'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_NArith_BinNat_N_le_preorder'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lor_diag' 'mat/orb_refl'
0. 'coq/Coq_Arith_PeanoNat_Nat_lcm_assoc' 'mat/andbA'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_lnot_diag'#@#variant 'mat/rtimes_rinv'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_le_compat_l' 'mat/lt_plus_r'
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_pos'#@#variant 'mat/prime_nth_prime'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_succ_diag_r' 'mat/le_n_fact_n'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_nonneg' 'mat/lt_O_S'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_pos'#@#variant 'mat/le_SSO_fact'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_mul_r' 'mat/exp_exp_times'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_nonneg'#@#variant 'mat/lt_O_fact'#@#variant
0. 'coq/Coq_Arith_Compare_dec_nat_compare_eq' 'mat/same_atom_to_eq'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_le_mono' 'mat/le_S_S'
0. 'coq/Coq_Arith_Factorial_lt_O_fact'#@#variant 'mat/prime_nth_prime'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_add_r' 'mat/divides_minus'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_nonneg' 'mat/lt_O_fact'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_nonneg'#@#variant 'mat/prime_nth_prime'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_add_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_ZArith_Znumtheory_Zgcd_ass' 'mat/assoc_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_double_succ' 'mat/times_SSO'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_preorder'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_reflexive'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qeq_refl' 'mat/divides_n_n'
0. 'coq/Coq_NArith_BinNat_N_sqrtrem_spec' 'mat/segment_finType'
0. 'coq/Coq_ZArith_BinInt_Z_add_min_distr_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_mul_r' 'mat/eq_minus_minus_minus_plus'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_pred_r' 'mat/eq_minus_S_pred'
0. 'coq/Coq_Reals_Rminmax_R_min_le_compat' 'mat/lt_times'
0. 'coq/Coq_QArith_Qabs_Qabs_nonneg'#@#variant 'mat/lt_SO_nth_prime_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_divide/1' 'mat/divides_gcd_m'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_pos'#@#variant 'mat/prime_smallest_factor_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lor_0_l' 'mat/rtimes_one_r'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div2_double' 'mat/Zpred_Zsucc'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_add_distr_l' 'mat/distr_times_minus'
0. 'coq/Coq_ZArith_BinInt_Z_lor_assoc' 'mat/andb_assoc'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_ggcd_correct_divisors' 'mat/eqb_to_Prop'
0. 'coq/Coq_NArith_BinNat_N_leb_refl' 'mat/ltb_refl'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_leb_refl' 'mat/eqb_n_n'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_min_distr' 'mat/demorgan2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_max_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_1'#@#variant 'mat/A_SO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lor_assoc' 'mat/andbA'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_assoc' 'mat/andb_assoc'
0. 'coq/Coq_Reals_RIneq_Rnot_gt_ge' 'mat/not_le_to_lt'
0. 'coq/Coq_NArith_BinNat_N_divide_transitive'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_0_l' 'mat/divides_SO_n'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lxor_m1_r'#@#variant 'mat/plus_n_SO'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_assoc' 'mat/assoc_plus'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_sub_succ_r' 'mat/eq_minus_S_pred'
0. 'coq/Coq_ZArith_BinInt_Z_pow_0_l'#@#variant 'mat/exp_n_O'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_mul_assoc' 'mat/assoc_plus'
0. 'coq/Coq_ZArith_BinInt_Z_sub_add' 'mat/minus_plus_m_m'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_succ_inj' 'mat/inj_S'
0. 'coq/Coq_PArith_Pnat_Pmult_nat_l_plus_morphism'#@#variant 'mat/eq_times_f_times1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftl_lxor' 'mat/times_exp'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_l' 'mat/lt_to_eq_mod'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_div_eucl' 'mat/eqZb_to_Prop'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_pred_l' 'mat/Zplus_Zpred'
0. 'coq/Coq_QArith_Qminmax_Q_min_le_compat_l' 'mat/le_plus_r'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div_small' 'mat/eq_minus_n_m_O'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_assoc' 'mat/andbA'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_add_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_ZArith_BinInt_Z_eq_trans'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_le_min_r' 'mat/divides_gcd_nm/0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_min_l' 'mat/le_minus_m'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lcm_mul_mono_l' 'mat/distr_times_minus'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_neq' 'mat/eq_to_not_lt'
0. 'coq/Coq_Bool_Bool_negb_involutive' 'mat/finv_finv'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_assoc' 'mat/andb_assoc'
0. 'coq/Coq_NArith_BinNat_N_lt_lt_succ_r' 'mat/ltW'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_min_l' 'mat/divides_gcd_nm/1'
0. 'coq/Coq_ZArith_BinInt_Z_max_min_distr' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_add_r' 'mat/divides_plus'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_eq_0_r' 'mat/eq_Qtimes_OQ_to_eq_OQ'
0. 'coq/Coq_ZArith_Zlogarithm_log_inf_correct/0'#@#variant 'mat/sieve_sorted'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lxor_assoc' 'mat/andb_assoc'
0. 'coq/Coq_ZArith_BinInt_Z_gcd_greatest' 'mat/divides_minus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lxor_assoc' 'mat/assoc_times'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_add_distr_r' 'mat/times_exp'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_sqrt_up_succ_sqrt' 'mat/le_teta'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sub_diag' 'mat/minus_n_n'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_add_le_sub_r' 'mat/le_minus_to_plus'
0. 'coq/Coq_NArith_BinNat_N_min_le_compat_l' 'mat/le_times_r'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_pow_succ_r' 'mat/exp_S'
0. 'coq/Coq_PArith_BinPos_Pos_eq_trans'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_succ_diag_r' 'mat/le_n_Sn'
0. 'coq/Coq_Reals_Ratan_atan_0' 'mat/A_SSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_b2n_inj' 'mat/inj_neg'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_nonneg' 'mat/lt_O_fact'
0. 'coq/Coq_Arith_EqNat_beq_nat_refl' 'mat/leb_refl'
0. 'coq/Coq_fourier_Fourier_util_Rfourier_le'#@#variant 'mat/lt_exp'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_trans' 'mat/trans_le'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_le_mono' 'mat/le_S_S'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftl_0_l' 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftr_lxor' 'mat/times_plus_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lcm_1_l'#@#variant 'mat/Qtimes_Qone_q'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_le_mono' 'mat/le_to_le_pred'
0. 'coq/Coq_Init_Peano_min_l' 'mat/lt_to_eq_mod'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftl_lxor' 'mat/times_minus_l'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_preorder'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_add_1_r' 'mat/plus_n_SO'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_le_compat' 'mat/le_plus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_nonneg'#@#variant 'mat/not_nf_elim_not/1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_rem_le'#@#variant 'mat/lt_div'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_nonneg_r'#@#variant 'mat/lt_exp1'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_sub_succ_r' 'mat/eq_minus_S_pred'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_divide_mono_l' 'mat/lt_plus_r'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_land_lor_distr_r' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_pos_l'#@#variant 'mat/lt_O_exp'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_involutive' 'mat/opposite_direction_idempotent'
0. 'coq/Coq_NArith_BinNat_N_sqrt_le_lin' 'mat/le_pred_n'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_max_distr' 'mat/Zopp_Zplus'
0. 'coq/Coq_QArith_Qcanon_Qclt_trans' 'mat/trans_divides'
0. 'coq/Coq_PArith_BinPos_Pos_le_refl' 'mat/divides_n_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_add_pos_l'#@#variant 'mat/lt_m_exp_nm'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_eqb_refl' 'mat/leb_refl'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_gt_cases' 'mat/not_le_to_lt'
0. 'coq/Coq_QArith_QArith_base_Qeq_bool_eq' 'mat/leb_true_to_le'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_lt_cancel' 'mat/le_S_S_to_le'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_lt_mono' 'mat/lt_plus'
0. 'coq/Coq_Reals_RIneq_Rmult_minus_distr_l' 'mat/distr_times_minus'
0. 'coq/Coq_Arith_PeanoNat_Nat_mod_small' 'mat/le_to_mod'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_min_distr_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_assoc' 'mat/assoc_plus'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_lt_lin'#@#variant 'mat/lt_sqrt_n'#@#variant
0. 'coq/Coq_Arith_Mult_mult_lt_compat_l'#@#variant 'mat/le_log'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_1_l' 'mat/le_O_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_divide_mono_r' 'mat/le_plus_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_max_l' 'mat/le_plus_n_r'
0. 'coq/Coq_Arith_Plus_plus_lt_compat_l' 'mat/le_times_r'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_div_small' 'mat/lt_to_div_O'
0. 'coq/Coq_PArith_BinPos_Pos_min_glb' 'mat/divides_plus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_mul_l' 'mat/times_minus_l'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_assoc' 'mat/andb_assoc'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_compare_succ_succ' 'mat/nat_compare_S_S'
0. 'coq/Coq_Reals_RIneq_Rmult_0_l' 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_trans' 'mat/trans_divides'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_divide_l' 'mat/divides_gcd_nm/1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftr_lor' 'mat/times_exp'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_le_compat_r' 'mat/le_times_l'
0. 'coq/Coq_ZArith_Zquot_Zquot_0_r' 'mat/Qtimes_q_OQ'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_eq_0_r' 'mat/eq_plus_n_m_O_to_eq_m_O'
0. 'coq/Coq_Arith_Min_plus_min_distr_r' 'mat/times_exp'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_divide_mono_r' 'mat/le_plus_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_land_lor_distr_r' 'mat/distr_times_minus'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_log2_log2_up' 'mat/le_B_A'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_nonneg_l'#@#variant 'mat/lt_times_r1'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lor_assoc' 'mat/andb_assoc'
0. 'coq/Coq_NArith_BinNat_N_add_min_distr_l' 'mat/distr_times_plus'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_succ_diag_r' 'mat/le_n_fact_n'
0. 'coq/Coq_Reals_RIneq_Rge_trans' 'mat/trans_le'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lor_diag' 'mat/gcd_n_n'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_specif/0' 'mat/leq_sqrt_n'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_eq_trans'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_nonzero' 'mat/andb_true_true'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_ltb_irrefl' 'mat/eqb_n_n'
0. 'coq/Coq_Reals_Rpower_exp_ineq1'#@#variant 'mat/le_S_times_SSO0'#@#variant
0. 'coq/Coq_Reals_Exp_prop_div2_double'#@#variant 'mat/pred_Sn'
0. 'coq/Coq_ZArith_Zeven_Zeven_Sn' 'mat/prime_smallest_factor_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_lt_trans' 'mat/le_to_lt_to_lt'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_max_distr_l' 'mat/exp_plus_times'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_sub_l' 'mat/le_minus_m'
0. 'coq/Coq_PArith_BinPos_Pos_sub_lt' 'mat/eq_minus_n_m_O'
0. 'coq/Coq_ZArith_Zorder_Zle_minus_le_0'#@#variant 'mat/lt_O_bc'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_le_compat' 'mat/le_plus'
0. 'coq/Coq_Arith_Le_le_n_0_eq' 'mat/le_n_O_to_eq'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_max_distr_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_le_trans' 'mat/lt_to_le_to_lt'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_le_mono' 'mat/le_to_le_pred'
0. 'coq/Coq_Bool_Bool_negb_involutive_reverse' 'mat/Zopp_Zopp'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_min_r' 'mat/divides_gcd_m'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_reflexive'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_le_compat_r' 'mat/lt_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_le_mono_nonneg_l' 'mat/lt_times_r1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_divide_mono_l' 'mat/le_plus_r'
0. 'coq/Coq_ZArith_BinInt_Z_lnot_involutive' 'mat/rinv_rinv'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_preorder'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_max_l' 'mat/le_plus_n_r'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_1'#@#variant 'mat/A_SSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_nonneg'#@#variant 'mat/lt_O_S'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_sub_distr_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_ZArith_BinInt_Z_add_1_l'#@#variant 'mat/eq_A_A\''
0. 'coq/Coq_QArith_QOrderedType_QOrder_le_trans' 'mat/trans_divides'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftl_lor' 'mat/times_minus_l'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_sub_lt' 'mat/eq_div_O'
0. 'coq/Coq_Arith_PeanoNat_Nat_min_assoc' 'mat/assoc_times'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftl_lxor' 'mat/times_exp'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_1_r'#@#variant 'mat/times_n_O'
0. 'coq/Coq_ZArith_BinInt_Z_lcm_assoc' 'mat/andb_assoc'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lcm_0_r' 'mat/Ztimes_z_OZ'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_mul_l' 'mat/times_exp'
0. 'coq/Coq_NArith_BinNat_N_lt_decidable' 'mat/decidable_lt'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_l' 'mat/le_to_mod'
0. 'coq/Coq_ZArith_BinInt_Z_compare_refl' 'mat/leb_refl'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_1'#@#variant 'mat/B_SSSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_2'#@#variant 'mat/eq_OZ_Zopp_OZ'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_eq_refl'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_QArith_Qreduction_Qred_correct' 'mat/le_prim_n'
0. 'coq/Coq_NArith_Ndiv_def_Pdiv_eucl_correct' 'mat/eqZb_to_Prop'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_assoc' 'mat/assoc_times'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lcm_assoc' 'mat/andbA'
0. 'coq/Coq_PArith_BinPos_Pos_sub_le' 'mat/eq_minus_n_m_O'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pred_le_mono' 'mat/le_S_S'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_le_mono' 'mat/ltS'
0. 'coq/Coq_Reals_R_sqrt_sqrt_pos' 'mat/lt_O_fact'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_min_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_le_compat_r' 'mat/le_plus_l'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_glb_lt' 'mat/divides_plus'
0. 'coq/Coq_NArith_BinNat_N_double_spec'#@#variant 'mat/eq_A_A\''
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Topp_one_stable' 'mat/monotonic_A'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_2'#@#variant 'mat/A_SSSO'#@#variant
0. 'coq/Coq_ZArith_Zbool_Zlt_cases' 'mat/eqfb_to_Prop'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftl_lor' 'mat/times_exp'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_succ_r' 'mat/eq_minus_S_pred'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_1_l'#@#variant 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_PArith_BinPos_Peqb_true_eq' 'mat/same_atom_to_eq'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_NArith_BinNat_N_sqrt_1'#@#variant 'mat/A_SO'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_lt_lin'#@#variant 'mat/divides_smallest_factor_n'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lor_assoc' 'mat/andbA'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_nonneg' 'mat/lt_O_fact'
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_le_lin'#@#variant 'mat/lt_sqrt_n'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_eqb_refl' 'mat/ltb_refl'
0. 'coq/Coq_PArith_BinPos_Pos_le_antisym' 'mat/le_to_le_to_eq'
0. 'coq/Coq_ZArith_BinInt_Z_shiftr_lor' 'mat/times_exp'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_sub_le' 'mat/eq_div_O'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_compare_refl' 'mat/ltb_refl'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_sub_distr_l' 'mat/distr_times_minus'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_leb_refl' 'mat/eqb_n_n'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_strorder'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_le_lin' 'mat/le_sqrt_n_n'
0. 'coq/Coq_Bool_Bool_andb_false_r' 'mat/times_n_O'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_pred_l' 'mat/le_pred_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lor_diag' 'mat/gcd_n_n'
0. 'coq/Coq_Reals_Rtrigo_calc_tan_2PI'#@#variant 'mat/B_SSSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_mul_l' 'mat/times_exp'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_2'#@#variant 'mat/B_SSSSO'#@#variant
0. 'coq/Coq_QArith_QOrderedType_QOrder_lt_le_trans' 'mat/lt_to_le_to_lt'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_lt_cancel' 'mat/le_S_S_to_le'
0. 'coq/Coq_NArith_BinNat_N_lt_neq' 'mat/lt_to_not_eq'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_compare_eq' 'mat/eqb_true_to_eq'
0. 'coq/Coq_PArith_BinPos_Pos_sqrt_spec' 'mat/magma'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lor_land_distr_r' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Arith_Mult_mult_lt_compat_r' 'mat/lt_times_l1'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_le_mono' 'mat/le_to_le_pred'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_div_factor'#@#variant 'mat/eq_gcd_div_div_div_gcd'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ldiff_m1_r'#@#variant 'mat/exp_n_O0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_div_factor'#@#variant 'mat/eq_div_plus'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_le_compat' 'mat/divides_times'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_compare_eq' 'mat/eqb_true_to_eq'
0. 'coq/Coq_ZArith_BinInt_Z_lt_pred_l' 'mat/le_sqrt_n_n'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Topp_mult_r_stable' 'mat/injective_S'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_0' 'mat/eq_OZ_Zopp_OZ'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_le_lin'#@#variant 'mat/divides_smallest_factor_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lxor_0_l' 'mat/rtimes_one_r'
0. 'coq/Coq_Reals_Raxioms_Rmult_plus_distr_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_nonneg' 'mat/lt_O_teta'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tred_factor4_stable' 'mat/increasing_nth_prime'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_lcm_l' 'mat/le_plus_n_r'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_eq_equiv'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_succ_l' 'mat/Zplus_Zpred'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_nonneg' 'mat/lt_O_nth_prime_n'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_add_r' 'mat/le_plus_n_r'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_sqrt_spec' 'mat/premonoid'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_trans' 'mat/trans_lt'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_pred_succ' 'mat/pred_Sn'
0. 'coq/Coq_ZArith_Zorder_Zplus_gt_compat_l' 'mat/le_plus_r'
0. 'coq/Coq_NArith_BinNat_N_pow_le_mono_l' 'mat/le_plus_l'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ldiff_m1_r'#@#variant 'mat/mod_SO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_gt_cases' 'mat/not_le_to_lt'
0. 'coq/Coq_NArith_BinNat_N_pow_le_mono_l' 'mat/le_times_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_neq_succ_diag_r' 'mat/not_eq_n_Sn'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_sub_lt_add_r' 'mat/le_minus_to_plus'
0. 'coq/Coq_MSets_MSetPositive_PositiveSet_E_eq_equiv'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lxor_assoc' 'mat/andb_assoc'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_1_r' 'mat/plus_n_SO'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_eqb_refl' 'mat/leb_refl'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_transitive'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_Arith_Gt_gt_irrefl' 'mat/Not_lt_n_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_divide_l' 'mat/divides_gcd_nm/1'
0. 'coq/Coq_Reals_Rminmax_R_min_assoc' 'mat/assoc_plus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lor_assoc' 'mat/assoc_times'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_eq_trans'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_succ_max_distr' 'mat/Qinv_Qtimes\''
0. 'coq/Coq_PArith_BinPos_Pos_min_id' 'mat/orb_refl'
0. 'coq/Coq_PArith_BinPos_Pos_max_assoc' 'mat/assoc_plus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_le_compat' 'mat/le_times'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_neq_succ_diag_l' 'mat/not_eq_n_Sn'
0. 'coq/Coq_NArith_Ndist_ni_min_inf_l' 'mat/gcd_O_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_1_r'#@#variant 'mat/plus_n_SO'#@#variant
0. 'coq/Coq_ZArith_Zeven_Zodd_Sn' 'mat/le_SSO_fact'#@#variant
0. 'coq/Coq_Reals_ROrderedType_ROrder_lt_irrefl' 'mat/Not_lt_n_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_add_le_sub_r' 'mat/le_minus_to_plus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_2'#@#variant 'mat/B_SSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_succ_le' 'mat/times_SSO_pred'#@#variant
0. 'coq/Coq_NArith_BinNat_N_divide_transitive'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_ZArith_BinInt_Zminus_succ_l' 'mat/Zplus_Zpred'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pred_le_mono' 'mat/le_S_S'
0. 'coq/Coq_Reals_R_Ifp_fp_R0' 'mat/eq_OZ_Zopp_OZ'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_add_distr_r' 'mat/times_exp'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sub_succ_l' 'mat/minus_Sn_m'
0. 'coq/Coq_NArith_BinNat_N_le_0_l' 'mat/le_O_n'
0. 'coq/Coq_QArith_Qminmax_Q_max_le_compat_l' 'mat/le_plus_r'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_sub_mask_diag' 'mat/ltb_refl'
0. 'coq/Coq_Arith_Min_min_assoc' 'mat/andb_assoc'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_nonneg' 'mat/lt_O_teta'
0. 'coq/Coq_FSets_FSetPositive_PositiveSet_eq_refl' 'mat/divides_n_n'
0. 'coq/Coq_Reals_R_sqrt_sqrt_le_1_alt' 'mat/le_to_le_pred'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_lt_cancel' 'mat/ltS\''
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_lt_mono' 'mat/le_times'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_nonzero' 'mat/andb_true_true'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_assoc' 'mat/assoc_plus'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_preorder'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lcm_mul_mono_l' 'mat/distr_times_plus'
0. 'coq/Coq_Reals_Raxioms_Rmult_plus_distr_l' 'mat/distr_times_plus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_lt_trans' 'mat/le_to_lt_to_lt'
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_transitive'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_min_l' 'mat/le_minus_m'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_ggcd_correct_divisors' 'mat/ltb_to_Prop'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_antisym' 'mat/le_to_le_to_eq'
0. 'coq/Coq_Reals_Rbasic_fun_Rmin_r' 'mat/divides_gcd_m'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_le_trans' 'mat/lt_to_le_to_lt'
0. 'coq/Coq_NArith_BinNat_N_max_le_compat_l' 'mat/le_times_r'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_reg_l' 'mat/inj_plus_r'
0. 'coq/Coq_Reals_Rpower_ln_increasing' 'mat/lt_pred'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_reg_l' 'mat/inj_plus_r'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_eq_sym'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_max_distr_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Init_Peano_pred_Sn' 'mat/Zsucc_Zpred'
0. 'coq/Coq_Arith_PeanoNat_Nat_lcm_assoc' 'mat/andb_assoc'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_divide_mono_r' 'mat/le_plus_l'
0. 'coq/Coq_Arith_PeanoNat_Nat_eq_decidable' 'mat/decidable_eq_Z'
0. 'coq/Coq_Reals_Rminmax_R_le_max_l' 'mat/le_plus_n_r'
0. 'coq/Coq_PArith_BinPos_Pos_mul_min_distr_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_add_distr_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_lt_trans' 'mat/le_to_lt_to_lt'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_odd_pred' 'mat/pos_n_eq_S_n'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_size_nat_monotone' 'mat/lt_to_Zlt_pos_pos'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_eq_sym'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_Reals_RIneq_Rge_not_gt' 'mat/le_to_not_lt'
0. 'coq/Coq_Arith_PeanoNat_Nat_min_le_compat_r' 'mat/le_plus_l'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_strorder'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_land_0_l' 'mat/mod_O_n'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_antisym' 'mat/antisym_le'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_min_distr_l' 'mat/distr_times_plus'
0. 'coq/Coq_ZArith_BinInt_Z_lor_lnot_diag'#@#variant 'mat/Zplus_Zopp'
0. 'coq/Coq_Reals_Ratan_Ropp_div' 'mat/Zplus_Zsucc'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_nonneg'#@#variant 'mat/lt_O_teta'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_0_l' 'mat/mod_O_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_lt_mono_r'#@#variant 'mat/le_log'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_min_le_compat' 'mat/le_times'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_ldiff_ldiff_l' 'mat/eq_minus_minus_minus_plus'
0. 'coq/Coq_PArith_BinPos_Pos_max_le_compat_r' 'mat/le_plus_l'
0. 'coq/Coq_Reals_Rminmax_R_max_le_compat_l' 'mat/le_plus_r'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_min_distr_l' 'mat/distr_times_minus'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_le_compat' 'mat/divides_times'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_mul_l' 'mat/times_exp'
0. 'coq/Coq_ZArith_BinInt_Z_pow_0_l' 'mat/exp_n_O'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_0' 'mat/A_SO'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_l' 'mat/le_plus_r'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_1_l' 'mat/gcd_O_n'
0. 'coq/Coq_NArith_BinNat_N_shiftr_shiftr' 'mat/eq_minus_minus_minus_plus'
0. 'coq/Coq_ZArith_BinInt_Z_ltb_irrefl' 'mat/leb_refl'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_succ_le' 'mat/times_SSO_pred'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_assoc' 'mat/andb_assoc'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_2'#@#variant 'mat/B_SSSSO'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_plus_min_distr_r' 'mat/times_exp'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_lt_strorder'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lnot_m1'#@#variant 'mat/A_SSSO'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_min_0_l' 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_eq_trans'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_pos'#@#variant 'mat/le_SSO_fact'#@#variant
0. 'coq/Coq_setoid_ring_Ring_theory_Eqsth' 'mat/reflexive_eq'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_min_l' 'mat/le_minus_m'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lcm_0_l' 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_l' 'mat/le_to_mod'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_greatest' 'mat/divides_plus'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_assoc' 'mat/assoc_times'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_assoc' 'mat/assoc_times'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_assoc' 'mat/andb_assoc'
0. 'coq/Coq_NArith_BinNat_N_pow_1_l'#@#variant 'mat/mod_O_n'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_land_0_l' 'mat/mod_O_n'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_leb_refl' 'mat/leb_refl'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_reg_l' 'mat/inj_plus_r'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_assoc' 'mat/assoc_plus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_square_nonneg'#@#variant 'mat/id_axiom'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_le_mono' 'mat/lt_plus'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_antisymm' 'mat/le_to_le_to_eq'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_ldiff_diag' 'mat/minus_n_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftl_lor' 'mat/times_minus_l'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_min_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_nonneg' 'mat/lt_O_fact'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_1_l'#@#variant 'mat/rtimes_one_r'
0. 'coq/Coq_Arith_PeanoNat_Nat_lor_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_ZArith_BinInt_Z_le_min_l' 'mat/divides_gcd_nm/1'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_sqrt_sqrt_up' 'mat/le_B_A'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_lt_cancel' 'mat/lt_S_S_to_lt'
0. 'coq/Coq_Arith_Lt_lt_n_S' 'mat/le_to_le_pred'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_succ_diag_r' 'mat/le_n_Sn'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_min_distr_l' 'mat/distr_times_plus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_1_l' 'mat/gcd_SO_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_2'#@#variant 'mat/B_SSSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_max_distr' 'mat/distr_times_plus'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lcm_diag' 'mat/orb_refl'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_nonneg_l'#@#variant 'mat/lt_exp'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_min_l' 'mat/divides_gcd_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_nonneg' 'mat/lt_O_teta'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_lt_mono_r' 'mat/lt_exp'
0. 'coq/Coq_ZArith_BinInt_Z_lcm_assoc' 'mat/andbA'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_antisym' 'mat/antisym_le'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_nonneg_l'#@#variant 'mat/lt_exp'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftl_lxor' 'mat/times_exp'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_succ_l' 'mat/Zplus_Zsucc'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Topp_plus_stable' 'mat/monotonic_sqrt'#@#variant
0. 'coq/Coq_Bool_Bool_no_fixpoint_negb' 'mat/not_eq_n_Sn'
0. 'coq/Coq_ZArith_BinInt_Z_eqb_refl' 'mat/eqb_n_n'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_lt_succ' 'mat/ltW'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_lt_cancel' 'mat/le_S_S_to_le'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tplus_assoc_l_stable' 'mat/injective_S'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_0_succ'#@#variant 'mat/lt_O_nth_prime_n'#@#variant
0. 'coq/Coq_NArith_BinNat_N_succ_inj' 'mat/inj_S'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftr_shiftr' 'mat/exp_exp_times'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_nonneg' 'mat/lt_O_nth_prime_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_pos'#@#variant 'mat/lt_SO_n_to_lt_O_pred_n'#@#variant
0. 'coq/Coq_Reals_ROrderedType_ROrder_not_ge_lt' 'mat/not_lt_to_le'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_mul_mono_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_divide_mono_r' 'mat/le_times_l'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_0_succ' 'mat/lt_O_fact'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_glb_lt' 'mat/divides_minus'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_opp_diag_r' 'mat/rtimes_rinv'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_refl' 'mat/divides_n_n'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_le_compat_l' 'mat/lt_plus_r'
0. 'coq/Coq_QArith_Qround_Qfloor_resp_le' 'mat/lt_to_Zlt_pos_pos'
0. 'coq/Coq_Reals_RIneq_Rinv_0_lt_compat'#@#variant 'mat/lt_O_smallest_factor'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lcm_0_r' 'mat/Ztimes_z_OZ'
0. 'coq/Coq_Arith_PeanoNat_Nat_lxor_assoc' 'mat/andbA'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_lor' 'mat/demorgan1'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_xO' 'mat/Zopp_Zplus'
0. 'coq/Coq_NArith_BinNat_N_add_lt_mono' 'mat/le_plus'
0. 'coq/Coq_QArith_Qreduction_Qplus_prime_comp' 'mat/lt_times'
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_1'#@#variant 'mat/eq_OZ_Zopp_OZ'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_max_distr_l' 'mat/distr_times_plus'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_square_nonneg'#@#variant 'mat/id_axiom'
0. 'coq/Coq_Arith_Min_min_glb' 'mat/divides_minus'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_max_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_2_r'#@#variant 'mat/exp_SSO'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_pred' 'mat/pred_Sn'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_preorder'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_nonneg'#@#variant 'mat/lt_O_nth_prime_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_l' 'mat/lt_plus_r'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lxor_nilpotent' 'mat/minus_n_n'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sub_min_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pos_sub_diag' 'mat/ltb_refl'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_nonneg' 'mat/le_SO_fact'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_0_l' 'mat/mod_O_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftr_0_l' 'mat/mod_O_n'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_le_compat_r' 'mat/le_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_le_compat_r' 'mat/le_plus_l'
0. 'coq/__constr_Coq_Arith_Even_even_1_1' 'mat/lt_SO_n_to_lt_O_pred_n'#@#variant
0. 'coq/Coq_Numbers_Cyclic_Int31_Ring31_Int31_canonic' 'mat/inj_pos'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lcm_assoc' 'mat/assoc_times'
0. 'coq/Coq_NArith_BinNat_Nmult_plus_distr_l' 'mat/distr_times_minus'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_factor_r' 'mat/le_plus_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_le_compat' 'mat/le_plus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_eq_trans'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mod_1_r'#@#variant 'mat/exp_n_O0'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_land_m1_l'#@#variant 'mat/gcd_O_n'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_1_l'#@#variant 'mat/mod_O_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_le_compat_l' 'mat/lt_plus_r'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftl_lxor' 'mat/times_plus_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_mul_mono_r' 'mat/times_exp'
0. 'coq/Coq_Reals_R_sqrt_sqrt_less_alt'#@#variant 'mat/divides_smallest_factor_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_reflexive'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftl_land' 'mat/times_minus_l'
0. 'coq/Coq_Reals_RIneq_Rle_0_sqr'#@#variant 'mat/lt_SO_nth_prime_n'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_opp_involutive' 'mat/opposite_direction_idempotent'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lcm_mul_mono_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lxor_assoc' 'mat/andb_assoc'
0. 'coq/Coq_NArith_BinNat_N_shiftr_land' 'mat/times_minus_l'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_sqrt_spec' 'mat/denom'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_preorder'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_sub_l' 'mat/le_minus_m'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_nonneg'#@#variant 'mat/lt_O_S'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_nonneg'#@#variant 'mat/lt_O_S'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_nonneg'#@#variant 'mat/prime_nth_prime'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_le_compat' 'mat/le_times'
0. 'coq/Coq_Bool_Bool_eqb_reflx' 'mat/minus_n_n'
0. 'coq/Coq_Arith_Factorial_lt_O_fact'#@#variant 'mat/not_nf_elim_not/1'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_ggcd_greatest' 'mat/eqZb_to_Prop'
0. 'coq/Coq_PArith_BinPos_Pos_max_le_compat_l' 'mat/le_times_r'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_succ_pred_pos'#@#variant 'mat/S_pred'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_inj' 'mat/inj_S'
0. 'coq/Coq_ZArith_BinInt_Z_lor_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_decidable' 'mat/decidable_lt'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_succ_min_distr' 'mat/Zopp_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_ltb_irrefl' 'mat/ltb_refl'
0. 'coq/Coq_QArith_Qminmax_Q_OT_eq_equiv'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_Numbers_Cyclic_ZModulo_ZModulo_spec_is_even' 'mat/frac'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_glb_lt' 'mat/divides_plus'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lxor_nilpotent' 'mat/minus_n_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_1_l'#@#variant 'mat/le_O_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lor_land_distr_r' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_succ_l' 'mat/lt_S_to_lt'
0. 'coq/Coq_PArith_BinPos_Pos_mul_assoc' 'mat/andb_assoc'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_pos' 'mat/lt_SO_n_to_lt_O_pred_n'
0. 'coq/Coq_Reals_RIneq_Ropp_div' 'mat/Zplus_Zsucc'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_shuffle1' 'mat/ab_times_cd'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_ggcd_correct_divisors' 'mat/R'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_double_mul' 'mat/Zplus_Zsucc'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div_small' 'mat/eq_div_O'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_pos'#@#variant 'mat/le_SSO_fact'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_succ_r' 'mat/plus_n_Sm'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_max_distr_l' 'mat/distr_times_minus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_0_l' 'mat/Qtimes_Qone_q'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_0' 'mat/A_SO'#@#variant
0. 'coq/Coq_MSets_MSetPositive_PositiveSet_compare_inv' 'mat/nat_compare_n_m_m_n'
0. 'coq/Coq_NArith_BinNat_N_log2_lt_lin'#@#variant 'mat/divides_smallest_factor_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_eq_equiv'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_2'#@#variant 'mat/eq_OZ_Zopp_OZ'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_max_distr_r' 'mat/times_exp'
0. 'coq/Coq_Arith_PeanoNat_Nat_min_id' 'mat/orb_refl'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_T_OMEGA13_stable' 'mat/injective_S'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_1_r' 'mat/times_n_O'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lxor_nilpotent' 'mat/bc_n_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_sqrt_spec' 'mat/Magma_OF_Monoid'
0. 'coq/Coq_ZArith_BinInt_Z_min_max_distr' 'mat/distr_times_plus'
0. 'coq/Coq_PArith_BinPos_Pos_min_assoc' 'mat/assoc_times'
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_reflexive'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_pos'#@#variant 'mat/prime_smallest_factor_n'#@#variant
0. 'coq/Coq_Arith_Min_min_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_Bool_Bool_orb_andb_distrib_r' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Reals_Rminmax_R_OT_eq_equiv'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sub_1_r'#@#variant 'mat/plus_n_SO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_neq' 'mat/eq_to_not_lt'
0. 'coq/Coq_PArith_BinPos_Pos_add_lt_mono' 'mat/le_plus'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_land_diag' 'mat/gcd_n_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lor_eq_0_l' 'mat/andb_true_true'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_eq_trans'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_le_mono' 'mat/lt_plus'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_sqrt_sqrt_up' 'mat/le_B_A'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_reflexive'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lcm_mul_mono_l' 'mat/distr_times_plus'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tmult_comm_stable' 'mat/injective_S'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_is_nonneg'#@#variant 'mat/sieve_sorted'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_1_r' 'mat/Qtimes_q_OQ'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sub_add' 'mat/divides_to_div'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_nonneg'#@#variant 'mat/prime_nth_prime'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_eq_refl'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_assoc' 'mat/assoc_plus'
0. 'coq/Coq_Reals_Rtrigo_def_sin_no_R0' 'mat/not_eq_OZ_neg'
0. 'coq/Coq_QArith_QArith_base_Qlt_trans' 'mat/trans_lt'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_rem_1_r'#@#variant 'mat/bc_n_O'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qcmult_integral_l'#@#variant 'mat/eq_Qtimes_OQ_to_eq_OQ'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_sqrt_spec' 'mat/OZ_test_to_Prop'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_pos'#@#variant 'mat/prime_smallest_factor_n'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_min_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_nonneg'#@#variant 'mat/lt_O_nth_prime_n'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sqrt_lt_cancel' 'mat/le_S_S_to_le'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_le_compat_r' 'mat/le_times_l'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_leb_refl' 'mat/eqb_n_n'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_eq_equiv'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_Reals_Raxioms_Rmult_lt_compat_l'#@#variant 'mat/lt_times_r1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_max_distr' 'mat/Zopp_Zplus'
0. 'coq/Coq_Arith_PeanoNat_Nat_lor_assoc' 'mat/assoc_plus'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lor_0_l' 'mat/Qtimes_Qone_q'
0. 'coq/Coq_NArith_BinNat_N_div2_double' 'mat/pred_Sn'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_divide_mono_r' 'mat/lt_plus_l'
0. 'coq/Coq_PArith_BinPos_Pos_gcd_divide_l' 'mat/le_minus_m'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_1_l'#@#variant 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tred_factor5_stable' 'mat/injective_nth_prime'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_peano_ind' 'mat/nat_ind'
0. 'coq/Coq_Reals_Ratan_Ropp_div' 'mat/Zplus_Zpred'
0. 'coq/Coq_Arith_PeanoNat_Nat_lcm_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_ZArith_BinInt_Z_abs_pow' 'mat/Zplus_Zsucc'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_le_mono' 'mat/ltS'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_assoc' 'mat/assoc_times'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_nonneg'#@#variant 'mat/lt_O_teta'#@#variant
0. 'coq/Coq_Reals_ArithProp_lt_minus_O_lt' 'mat/lt_to_lt_O_minus'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_PArith_BinPos_Pos_succ_max_distr' 'mat/Zopp_Zplus'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_nonneg' 'mat/lt_O_S'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_0_r' 'mat/divides_n_O'
0. 'coq/Coq_ZArith_BinInt_Z_eq_trans'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_Reals_Ratan_atan_1'#@#variant 'mat/B_SSSSO'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_nonneg'#@#variant 'mat/lt_SO_nth_prime_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_1'#@#variant 'mat/A_SO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftl_land' 'mat/times_exp'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_div_eucl' 'mat/ltb_to_Prop'
0. 'coq/Coq_Reals_RIneq_Rle_or_lt' 'mat/not_lt_to_le'
0. 'coq/Coq_Reals_RIneq_Rdiv_minus_distr' 'mat/times_exp'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_min_distr' 'mat/distr_times_plus'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_min_distr' 'mat/distr_times_minus'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_0_l' 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_eq_0_r' 'mat/eq_Qtimes_OQ_to_eq_OQ'
0. 'coq/Coq_ZArith_Zdiv_Zmult_mod_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_ZArith_BinInt_Z_pos_sub_discr' 'mat/R'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_lt_lin'#@#variant 'mat/lt_sqrt_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_0_succ'#@#variant 'mat/lt_O_fact'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_nle_succ_0' 'mat/not_le_Sn_O'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lcm_0_r' 'mat/times_n_O'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tmult_opp_left_stable' 'mat/monotonic_sqrt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_succ_discr' 'mat/not_eq_n_Sn'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lor_land_distr_l' 'mat/times_exp'
0. 'coq/Coq_QArith_Qreals_Rlt_Qlt' 'mat/Zlt_pos_pos_to_lt'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_id' 'mat/orb_refl'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_le_lin' 'mat/le_sqrt_n_n'
0. 'coq/Coq_ZArith_BinInt_Z_sgn_mul' 'mat/Qinv_Qtimes\''
0. 'coq/Coq_NArith_BinNat_N_mul_sub_distr_r' 'mat/times_exp'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_0_succ' 'mat/lt_O_teta'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_gcd_divide_r' 'mat/divides_gcd_nm/0'
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_R1' 'mat/eq_OZ_Zopp_OZ'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_trans' 'mat/trans_lt'
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_R0' 'mat/eq_OZ_Zopp_OZ'
0. 'coq/Coq_Reals_R_sqr_Rsqr_mult' 'mat/Zopp_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_nonneg_l'#@#variant 'mat/lt_exp'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_eq_trans'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_assoc' 'mat/andb_assoc'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_sub' 'mat/minus_plus_m_m'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_max_distr' 'mat/Zopp_Zplus'
0. 'coq/Coq_Reals_RIneq_Rplus_le_lt_compat' 'mat/le_to_lt_to_plus_lt'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_lt_cancel' 'mat/le_S_S_to_le'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lor_0_l' 'mat/rtimes_one_r'
0. 'coq/Coq_ZArith_BinInt_Z_eq_refl'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_mul_max_distr_r' 'mat/times_exp'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_land_diag' 'mat/gcd_n_n'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftl_ldiff' 'mat/times_plus_l'
0. 'coq/Coq_ZArith_BinInt_Z_land_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_sqrt_spec' 'mat/OZ_test_to_Prop'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_quot_factor' 'mat/eq_gcd_div_div_div_gcd'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_nonneg'#@#variant 'mat/lt_O_S'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_assoc' 'mat/assoc_times'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_succ_le' 'mat/times_SSO_pred'#@#variant
0. 'coq/Coq_Arith_Mult_mult_is_one'#@#variant 'mat/and_true'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_double_spec'#@#variant 'mat/eq_A_A\''
0. 'coq/Coq_Arith_Mult_mult_lt_compat_r' 'mat/lt_exp1'
0. 'coq/Coq_Arith_PeanoNat_Nat_max_le_compat' 'mat/divides_times'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftl_land' 'mat/times_minus_l'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_le_compat' 'mat/le_plus'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_nonneg'#@#variant 'mat/lt_O_S'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qcmult_lt_compat_r'#@#variant 'mat/lt_times_l1'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_assoc' 'mat/assoc_plus'
0. 'coq/Coq_NArith_Ndist_ni_le_refl' 'mat/divides_n_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_ggcd_correct_divisors' 'mat/nat_compare_to_Prop'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrtrem_spec' 'mat/Magma_OF_Monoid'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_nle_succ_diag_l' 'mat/not_le_Sn_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_decidable' 'mat/decidable_lt'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_peano_ind' 'mat/nat_ind'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_min_distr_r' 'mat/times_exp'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono' 'mat/le_times'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_nonneg'#@#variant 'mat/not_nf_elim_not/1'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_assoc' 'mat/andbA'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_divide_r' 'mat/divides_gcd_nm/0'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_compare_refl' 'mat/ltb_refl'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_lt_cancel' 'mat/lt_S_S_to_lt'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_lt_cancel' 'mat/le_S_S_to_le'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_min_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_ZArith_Znumtheory_Zgcd_ass' 'mat/assoc_times'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_1'#@#variant 'mat/B_SSSO'#@#variant
0. 'coq/Coq_Reals_RList_RList_P27' 'mat/assoc_Zplus'
0. 'coq/Coq_Reals_Rpower_exp_increasing' 'mat/le_to_le_pred'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_mul_r' 'mat/eq_minus_minus_minus_plus'
0. 'coq/Coq_ZArith_BinInt_Z_max_le_compat' 'mat/lt_plus'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_lt_0'#@#variant 'mat/ltn_to_ltO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_0_l' 'mat/Ztimes_Zone_l'
0. 'coq/Coq_ZArith_Zorder_Zmult_lt_compat_r' 'mat/lt_exp1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lcm_1_r'#@#variant 'mat/plus_n_SO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_nonneg' 'mat/lt_O_nth_prime_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_assoc' 'mat/andbA'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pos_sub_discr' 'mat/R'
0. 'coq/Coq_ZArith_BinInt_Z_opp_add_distr' 'mat/Qinv_Qtimes\''
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_assoc' 'mat/andbA'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_sqrt_up_succ_sqrt' 'mat/le_teta'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_0' 'mat/A_SSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_add_le_sub_r' 'mat/le_plus_to_minus_r'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_lt_mono' 'mat/le_times'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lor_land_distr_l' 'mat/times_plus_l'
0. 'coq/Coq_PArith_BinPos_Pos_eq_sym'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_div_le_lower_bound'#@#variant 'mat/le_times_to_le_div'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_irrefl' 'mat/Not_lt_n_n'
0. 'coq/Coq_ZArith_Zquot_Zquot_le_upper_bound'#@#variant 'mat/le_times_to_le_div2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_pos_r' 'mat/lt_O_gcd'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_succ_discr' 'mat/not_eq_n_Sn'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_reg_r' 'mat/inj_plus_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_0_l' 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_eqb_refl' 'mat/nat_compare_n_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_le_mono' 'mat/ltS'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_reg_r' 'mat/inj_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_le_lin'#@#variant 'mat/divides_smallest_factor_n'#@#variant
0. 'coq/Coq_Reals_Rtrigo_reg_continuity_sin' 'mat/increasing_nth_prime'
0. 'coq/Coq_Reals_RIneq_lt_INR' 'mat/lt_to_Zlt_pos_pos'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_1_r' 'mat/div_SO'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_0' 'mat/A_SO'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lcm_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_ZArith_BinInt_Z_mul_le_mono_nonneg_l'#@#variant 'mat/le_exp'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_succ_max_distr' 'mat/Qinv_Qtimes\''
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_max_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_eq_sym'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_max_l' 'mat/le_plus_n_r'
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_pos'#@#variant 'mat/lt_SO_nth_prime_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_le_mono' 'mat/le_plus'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_min_distr_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Init_Peano_pred_Sn' 'mat/Zpred_Zsucc'
0. 'coq/Coq_ZArith_BinInt_Z_lxor_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_leb_refl' 'mat/ltb_refl'
0. 'coq/Coq_Arith_Factorial_lt_O_fact'#@#variant 'mat/lt_SO_nth_prime_n'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pow_le_mono_l' 'mat/lt_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_compare_refl' 'mat/nat_compare_n_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_nonneg' 'mat/lt_O_S'
0. 'coq/Coq_ZArith_BinInt_Z_Even_or_Odd' 'mat/not_not_bertrand_to_bertrand'
0. 'coq/Coq_Arith_EqNat_beq_nat_refl' 'mat/ltb_refl'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lcm_mul_mono_l' 'mat/distr_times_minus'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_succ_diag_r' 'mat/lt_n_nth_prime_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_pred_l' 'mat/le_smallest_factor_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sub_1_r'#@#variant 'mat/plus_n_SO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_le_lin'#@#variant 'mat/lt_sqrt_n'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_eq_refl'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_NArith_BinNat_N_div_small' 'mat/lt_to_div_O'
0. 'coq/Coq_QArith_QArith_base_Qmult_le_compat_r'#@#variant 'mat/lt_times_l1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_involutive' 'mat/notb_notb'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_l' 'mat/lt_plus_r'
0. 'coq/Coq_ZArith_Zorder_Zplus_gt_reg_l' 'mat/le_plus_to_le'
0. 'coq/Coq_NArith_BinNat_N_land_0_l' 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_le_preorder'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_le_compat' 'mat/lt_plus'
0. 'coq/Coq_ZArith_BinInt_Z_log2_lt_cancel' 'mat/ltS\''
0. 'coq/Coq_Sets_Uniset_uniset_ind' 'mat/powerset_ind'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrtrem_spec' 'mat/Magma_OF_PreGroup'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_gcd_divide_l' 'mat/le_minus_m'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_eq_trans'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_0_r'#@#variant 'mat/exp_n_O0'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_min_distr_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_le_compat_r' 'mat/le_plus_l'
0. 'coq/Coq_NArith_BinNat_N_mul_lt_mono' 'mat/divides_times'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_pos_le' 'mat/divides_to_le'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pos_sub_discr' 'mat/eqZb_to_Prop'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_1'#@#variant 'mat/A_SSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_PositiveOrderedTypeBits_eq_equiv'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_ZArith_Zquot_Zrem_0_l' 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_nonneg' 'mat/lt_O_nth_prime_n'
0. 'coq/Coq_NArith_BinNat_N_land_diag' 'mat/gcd_n_n'
0. 'coq/Coq_QArith_Qcanon_Qcplus_assoc' 'mat/andb_assoc'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_min_r' 'mat/divides_gcd_m'
0. 'coq/Coq_NArith_BinNat_N_pow_add_r' 'mat/exp_plus_times'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_land_lor_distr_l' 'mat/times_minus_l'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_eq_sym'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_odd_pred' 'mat/pos_n_eq_S_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_ldiff_ldiff_l' 'mat/exp_exp_times'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_div2'#@#variant 'mat/divides_smallest_factor_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_1_l'#@#variant 'mat/Ztimes_Zone_l'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_inv_norm' 'mat/lt_SO_smallest_factor'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_divide_mono_l' 'mat/le_plus_r'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_nonneg'#@#variant 'mat/lt_SO_nth_prime_n'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_nonneg' 'mat/lt_O_teta'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_le_compat' 'mat/le_plus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_opp_diag_r' 'mat/Zplus_Zopp'
0. 'coq/Coq_Reals_RIneq_Ropp_div' 'mat/Zplus_Zpred'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_add_distr' 'mat/Zopp_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_le_compat' 'mat/le_plus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_0_succ'#@#variant 'mat/lt_SO_nth_prime_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_PositiveOrderedTypeBits_bits_lt_trans' 'mat/trans_le'
0. 'coq/Coq_QArith_Qminmax_Q_le_min_l' 'mat/le_minus_m'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftl_land' 'mat/times_exp'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_ggcd_correct_divisors' 'mat/leb_to_Prop'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_divide_l' 'mat/divides_gcd_nm/1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_add_pos_l' 'mat/le_times_n'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_nonneg' 'mat/lt_O_teta'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_le_mono' 'mat/ltS'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_irrefl' 'mat/Not_lt_n_n'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_even_aux' 'mat/denom'
0. 'coq/Coq_PArith_BinPos_Pos_max_assoc' 'mat/andb_assoc'
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_nonneg'#@#variant 'mat/lt_O_teta'#@#variant
0. 'coq/Coq_Structures_DecidableTypeEx_N_as_DT_lt_trans' 'mat/trans_divides'
0. 'coq/Coq_ZArith_BinInt_Z_lnot_lxor_l' 'mat/Zplus_Zpred'
0. 'coq/Coq_Arith_PeanoNat_Nat_lcm_assoc' 'mat/assoc_plus'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_lt_cancel' 'mat/le_S_S_to_le'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_sub_l' 'mat/divides_gcd_nm/1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_max_distr_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_ZArith_Znat_positive_N_Z' 'mat/numerator_nat_fact_to_fraction'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_le_compat_r' 'mat/le_times_l'
0. 'coq/Coq_Reals_R_sqrt_sqrt_Rsqr' 'mat/S_pred'
0. 'coq/Coq_ZArith_BinInt_Zmult_0_r_reverse' 'mat/Ztimes_z_OZ'
0. 'coq/Coq_ZArith_BinInt_Z_min_le_compat_r' 'mat/le_plus_l'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_succ_diag_r' 'mat/le_n_fact_n'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_0' 'mat/eq_OZ_Zopp_OZ'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div2_div'#@#variant 'mat/plus_n_SO'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_1_r' 'mat/Ztimes_z_OZ'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_one_succ'#@#variant 'mat/A_SSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_diag' 'mat/orb_refl'
0. 'coq/Coq_Reals_Rtrigo_calc_tan_PI' 'mat/B_SSSSO'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lnot_land' 'mat/demorgan2'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_1_l' 'mat/Zpred_Zplus_neg_O'
0. 'coq/Coq_ZArith_BinInt_Zpred_succ' 'mat/Zsucc_Zpred'
0. 'coq/Coq_NArith_BinNat_N_add_max_distr_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_ZArith_Zlogarithm_ZERO_le_N_digits' 'mat/lt_O_nth_prime_n'
0. 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_lt_not_eq' 'mat/eq_to_not_lt'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_max_distr' 'mat/distr_times_plus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_assoc' 'mat/assoc_times'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_nonneg' 'mat/lt_O_fact'
0. 'coq/Coq_Reals_Rminmax_R_max_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono' 'mat/le_times'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_greatest' 'mat/divides_minus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_lt_succ_r' 'mat/ltW'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_glb_lt' 'mat/divides_plus'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_pred_pos'#@#variant 'mat/S_pred'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_lt_lin'#@#variant 'mat/lt_sqrt_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_pow_gt_1' 'mat/lt_O_exp'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_preorder'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_min_r' 'mat/divides_gcd_nm/0'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_land_assoc' 'mat/assoc_times'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_le_trans' 'mat/lt_to_le_to_lt'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_eq_equiv'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_1'#@#variant 'mat/B_SSSSO'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_r' 'mat/lt_plus_l'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_le_succ_r' 'mat/ltW'
0. 'coq/Coq_PArith_BinPos_Pos_lt_succ_diag_r' 'mat/le_n_Sn'
0. 'coq/__constr_Coq_Classes_CMorphisms_normalization_done_0_1' 'mat/daemon'
0. 'coq/Coq_Arith_PeanoNat_Nat_div2_double'#@#variant 'mat/pred_Sn'
0. 'coq/Coq_Reals_Exp_prop_exp_pos' 'mat/lt_O_fact'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_le_compat' 'mat/lt_plus'
0. 'coq/Coq_Reals_Ranalysis4_Rcontinuity_abs' 'mat/monotonic_A'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono' 'mat/divides_times'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_eq_mul_0_r' 'mat/times_O_to_O'
0. 'coq/Coq_NArith_BinNat_N_shiftr_lor' 'mat/times_minus_l'
0. 'coq/Coq_Bool_Bool_orb_false_l' 'mat/Ztimes_Zone_l'
0. 'coq/Coq_ZArith_Zquot_Zrem_le'#@#variant 'mat/lt_minus_m'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_le_compat' 'mat/le_times'
0. 'coq/Coq_Reals_RIneq_Rmult_integral' 'mat/eq_Qtimes_OQ_to_eq_OQ'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_refl' 'mat/divides_n_n'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_eqb_refl' 'mat/leb_refl'
0. 'coq/Coq_ZArith_BinInt_Z_mul_opp_l' 'mat/Zplus_Zpred'
0. 'coq/Coq_Reals_AltSeries_PI_tg_pos'#@#variant 'mat/sieve_sorted'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_eqb_refl' 'mat/ltb_refl'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_succ_diag_r' 'mat/le_n_fact_n'
0. 'coq/Coq_Bool_Bool_orb_false_intro' 'mat/true_to_true_to_andb_true'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_max_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_ZArith_Zorder_Zge_trans' 'mat/trans_lt'
0. 'coq/Coq_ZArith_BinInt_Z_shiftl_lxor' 'mat/times_exp'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_assoc' 'mat/andbA'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_eq_sym'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ldiff_0_l' 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_FSets_FSetPositive_PositiveSet_E_bits_lt_trans' 'mat/trans_divides'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_leb_refl' 'mat/eqb_n_n'
0. 'coq/Coq_Reals_Ratan_atan_0' 'mat/eq_OZ_Zopp_OZ'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_nonneg'#@#variant 'mat/lt_SO_nth_prime_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_glb' 'mat/divides_plus'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_l' 'mat/lt_plus_r'
0. 'coq/Coq_Bool_Bool_orb_diag' 'mat/gcd_n_n'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_le_mono_l' 'mat/lt_plus_l'
0. 'coq/Coq_Arith_PeanoNat_Nat_succ_min_distr' 'mat/Qinv_Qtimes\''
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_spec_is_even' 'mat/segment_finType'
0. 'coq/Coq_NArith_BinNat_N_div_eucl_spec' 'mat/eqb_to_Prop'
0. 'coq/Coq_Arith_Div2_double_plus' 'mat/Zopp_Zplus'
0. 'coq/Coq_Reals_Rbasic_fun_Rmax_r' 'mat/le_plus_n'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div2_div'#@#variant 'mat/plus_n_SO'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_eq_decidable' 'mat/decidable_eq_fraction'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sub_diag' 'mat/minus_n_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_le_mono_l' 'mat/lt_plus_l'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_eq_le_incl' 'mat/lt_to_le'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_eq_0_r' 'mat/eq_plus_n_m_O_to_eq_m_O'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_sub_lt_add_r' 'mat/le_plus_to_minus_r'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_2'#@#variant 'mat/B_SSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_pred_l' 'mat/le_pred_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_land_m1_l'#@#variant 'mat/Qtimes_Qone_q'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_min_l' 'mat/le_minus_m'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_0_r' 'mat/times_n_O'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_1_l' 'mat/le_O_n'
0. 'coq/Coq_ZArith_BinInt_Zplus_assoc_reverse' 'mat/andbA'
0. 'coq/Coq_Init_Peano_not_eq_S' 'mat/not_eq_S'
0. 'coq/Coq_QArith_Qminmax_Q_OT_eq_equiv'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_compare_antisym' 'mat/nat_compare_n_m_m_n'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_assoc' 'mat/andbA'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_ltb_irrefl' 'mat/nat_compare_n_n'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_ggcd_greatest' 'mat/nat_compare_to_Prop'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pos_sub_discr' 'mat/eqZb_to_Prop'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_max_distr_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_add_distr_l' 'mat/distr_times_plus'
0. 'coq/Coq_Reals_Rbasic_fun_Rle_min_compat_r' 'mat/le_plus_l'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_le_mono' 'mat/le_pred'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_le_mono' 'mat/lt_to_lt_S_S'
0. 'coq/Coq_Reals_RIneq_Rplus_gt_compat' 'mat/lt_plus'
0. 'coq/Coq_ZArith_BinInt_Z_sub_max_distr_l' 'mat/exp_plus_times'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tplus_comm_stable' 'mat/injective_nth_prime'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_div_lt' 'mat/lt_div_n_m_n'
0. 'coq/Coq_ZArith_BinInt_Z_add_max_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_divide_l' 'mat/divides_gcd_nm/1'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_assoc' 'mat/andbA'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_eq_0_r' 'mat/times_O_to_O'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_succ_l' 'mat/Zplus_Zsucc'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div_le_mono'#@#variant 'mat/lt_exp1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_le_compat' 'mat/lt_times'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_greatest' 'mat/divides_plus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_0' 'mat/A_SSO'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_succ_pred_pos'#@#variant 'mat/S_pred'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_nonneg' 'mat/lt_O_teta'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_reg_r' 'mat/inj_plus_l'
0. 'coq/Coq_NArith_BinNat_N_mul_min_distr_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_assoc' 'mat/andbA'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sub_min_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_land_0_r' 'mat/Qtimes_q_OQ'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_preorder'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_gt_lin_r'#@#variant 'mat/lt_m_exp_nm'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_le_compat_r' 'mat/lt_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_strorder'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_max_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_2'#@#variant 'mat/B_SSSO'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_diag' 'mat/gcd_n_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_pos'#@#variant 'mat/prime_smallest_factor_n'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_land_0_l' 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_lt_mono_r'#@#variant 'mat/le_log'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_transitive'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_le_decidable' 'mat/decidable_le'
0. 'coq/Coq_ZArith_BinInt_Z_gcd_quot_factor'#@#variant 'mat/eq_gcd_div_div_div_gcd'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_neq' 'mat/lt_to_not_eq'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_nonneg_l'#@#variant 'mat/lt_exp'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_add_distr_l' 'mat/distr_times_minus'
0. 'coq/Coq_Numbers_BinNums_N_ind' 'mat/ratio_ind'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_Measure_instance_0' 'mat/injective_pos'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_nonneg'#@#variant 'mat/lt_SO_nth_prime_n'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_le_compat' 'mat/divides_times'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sub_0_l' 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_Reals_R_sqrt_sqrt_lt_0_alt' 'mat/ltS\''
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftr_0_l' 'mat/mod_O_n'
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_mul_mono_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Reals_Rminmax_R_min_id' 'mat/orb_refl'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sub_le_mono_r' 'mat/le_times_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_greatest' 'mat/divides_minus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_leb_refl' 'mat/nat_compare_n_n'
0. 'coq/Coq_PArith_BinPos_Pos_lt_trans' 'mat/trans_le'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_nonneg' 'mat/lt_O_teta'
0. 'coq/Coq_Bool_Bool_xorb_assoc_reverse' 'mat/assoc_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_factor_r' 'mat/le_plus_n'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_max_distr_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftr_lxor' 'mat/times_exp'
0. 'coq/Coq_Arith_Max_plus_max_distr_l' 'mat/distr_times_minus'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_peano_ind' 'mat/nat_ind'
0. 'coq/Coq_ZArith_BinInt_Z_add_opp_diag_r' 'mat/rtimes_rinv'
0. 'coq/Coq_NArith_BinNat_N_mul_1_l'#@#variant 'mat/gcd_O_n'
0. 'coq/Coq_Arith_Gt_plus_gt_reg_l' 'mat/le_plus_to_le'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_max_distr' 'mat/distr_times_plus'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_le_mono' 'mat/le_to_le_pred'
0. 'coq/Coq_QArith_QOrderedType_QOrder_not_ge_lt' 'mat/not_le_to_lt'
0. 'coq/Coq_ZArith_BinInt_Z_eq_sym'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_ZArith_Zquot_Zquot_le_upper_bound' 'mat/le_times_to_le_div2'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_le_compat' 'mat/divides_times'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrtrem_spec' 'mat/Magma_OF_finite_enumerable_SemiGroup'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_le_mono' 'mat/le_S_S'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_nonneg_l' 'mat/lt_times_r1'
0. 'coq/Coq_ZArith_Zquot_Zmult_rem_distr_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_1'#@#variant 'mat/A_SSO'#@#variant
0. 'coq/Coq_fourier_Fourier_util_Rfourier_lt'#@#variant 'mat/le_exp'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_nonneg_l'#@#variant 'mat/le_exp'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_eq_equiv'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_refl' 'mat/divides_n_n'
0. 'coq/Coq_Arith_Max_max_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_1'#@#variant 'mat/A_SO'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_trans' 'mat/trans_le'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_lt_strorder'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono' 'mat/divides_times'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_min_r' 'mat/divides_gcd_m'
0. 'coq/__constr_Coq_Classes_Morphisms_apply_subrelation_0_1' 'mat/daemon'
0. 'coq/Coq_ZArith_BinInt_Z_add_opp_diag_l' 'mat/minus_Sn_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_nonneg'#@#variant 'mat/lt_O_fact'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_eqb_refl' 'mat/eqb_n_n'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_0_l'#@#variant 'mat/exp_n_O'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_rem_1_r'#@#variant 'mat/mod_SO'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pred_succ' 'mat/pred_Sn'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_factor_r' 'mat/le_plus_n'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj' 'mat/inj_pos'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_eq_0_r' 'mat/andb_true_true_r'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_refl' 'mat/divides_n_n'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_ge_cases' 'mat/not_lt_to_le'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_min_distr' 'mat/demorgan1'
0. 'coq/Coq_ZArith_BinInt_Z_pos_sub_discr' 'mat/nat_compare_to_Prop'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_max_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_le_lin'#@#variant 'mat/divides_smallest_factor_n'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_land_assoc' 'mat/andbA'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_preorder'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_NArith_BinNat_N_log2_le_mono' 'mat/le_S_S'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_succ_l' 'mat/lt_S_to_lt'
0. 'coq/Coq_PArith_BinPos_Pos_add_succ_l' 'mat/Zplus_Zpred'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_lt_cancel' 'mat/ltS\''
0. 'coq/Coq_ZArith_Zdiv_Zmod_0_l' 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_pos'#@#variant 'mat/prime_smallest_factor_n'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_1_succ' 'mat/lt_O_nth_prime_n'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_ggcd_correct_divisors' 'mat/ltb_to_Prop'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_min_distr_l' 'mat/distr_times_minus'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_min_distr_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_compare_eq' 'mat/leb_true_to_le'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_transitive'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftr_lxor' 'mat/times_plus_l'
0. 'coq/Coq_Arith_PeanoNat_Nat_mod_1_r' 'mat/mod_SO'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_assoc' 'mat/assoc_plus'
0. 'coq/Coq_NArith_BinNat_N_mul_add_distr_l' 'mat/distr_times_plus'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_1_l' 'mat/gcd_O_n'
0. 'coq/Coq_Arith_Plus_le_plus_l' 'mat/le_plus_n_r'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_decidable' 'mat/decidable_lt'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_0_l' 'mat/le_O_n'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_lt_cancel' 'mat/le_S_S_to_le'
0. 'coq/Coq_NArith_BinNat_N_land_lor_distr_r' 'mat/distr_times_minus'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_nonneg' 'mat/lt_O_S'
0. 'coq/Coq_Reals_RIneq_le_IZR' 'mat/Zlt_pos_pos_to_lt'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_le_compat_l' 'mat/le_times_r'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_factor_l' 'mat/le_plus_n_r'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_spec_is_even' 'mat/Magma_OF_Group'
0. 'coq/Coq_Bool_Bool_andb_orb_distrib_r' 'mat/distr_times_minus'
0. 'coq/Coq_NArith_BinNat_N_pos_div_eucl_spec' 'mat/frac'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_PArith_BinPos_Pos_pow_succ_r' 'mat/exp_S'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_1_l' 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_assoc' 'mat/assoc_times'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_divide_mono_l' 'mat/le_times_r'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_nonneg' 'mat/lt_O_fact'
0. 'coq/Coq_NArith_BinNat_N_sqrt_lt_cancel' 'mat/ltS\''
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lcm_1_r' 'mat/div_SO'
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_divide_r' 'mat/divides_gcd_nm/0'
0. 'coq/Coq_ZArith_BinInt_Z_lt_decidable' 'mat/decidable_lt'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_le_mono' 'mat/ltS'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lxor_assoc' 'mat/andbA'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_nonneg' 'mat/lt_O_nth_prime_n'
0. 'coq/Coq_QArith_QOrderedType_QOrder_TO_eq_equiv'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_add_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lxor_0_l' 'mat/Qtimes_Qone_q'
0. 'coq/Coq_PArith_BinPos_Pos_max_id' 'mat/orb_refl'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Topp_mult_r_stable' 'mat/increasing_nth_prime'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_succ_l' 'mat/Zplus_Zpred'
0. 'coq/Coq_ZArith_Zmax_Zmax_left' 'mat/le_to_mod'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lcm_mul_mono_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_max_distr_l' 'mat/distr_times_plus'
0. 'coq/Coq_Arith_Compare_dec_leb_correct' 'mat/le_to_leb_true'
0. 'coq/Coq_ZArith_Zorder_Zplus_gt_compat_l' 'mat/le_times_r'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_le_compat' 'mat/divides_times'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_square' 'mat/eq_sqrt'
0. 'coq/Coq_Bool_Bool_orb_andb_distrib_l' 'mat/times_minus_l'
0. 'coq/Coq_Reals_ROrderedType_ROrder_lt_trans' 'mat/trans_lt'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_0_l' 'mat/mod_O_n'
0. 'coq/Coq_NArith_BinNat_N_shiftl_shiftl' 'mat/eq_minus_minus_minus_plus'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_add_distr_r' 'mat/times_exp'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_assoc' 'mat/andbA'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_land_assoc' 'mat/andbA'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_preorder'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_min_distr_r' 'mat/times_exp'
0. 'coq/Coq_NArith_Ndist_Npdist_eq_1' 'mat/leb_refl'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_le_mono' 'mat/le_to_le_pred'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_ggcd_correct_divisors' 'mat/nat_compare_to_Prop'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_square_nonneg'#@#variant 'mat/id_axiom'
0. 'coq/Coq_ZArith_BinInt_Z_sub_min_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_neq' 'mat/lt_to_not_eq'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_reflexive'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_QArith_QOrderedType_QOrder_lt_trans' 'mat/trans_lt'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_nonneg'#@#variant 'mat/lt_O_nth_prime_n'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_max_assoc' 'mat/andbA'
0. 'coq/Coq_Arith_EqNat_beq_nat_eq' 'mat/eqb_true_to_eq'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_NArith_BinNat_N_le_preorder'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_Reals_ROrderedType_ROrder_le_antisym' 'mat/antisym_le'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_strorder'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div2_spec'#@#variant 'mat/plus_n_SO'#@#variant
0. 'coq/Coq_Reals_Raxioms_Rplus_lt_compat_l' 'mat/le_plus_r'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tred_factor5_stable' 'mat/increasing_nth_prime'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_eq_1_r' 'mat/eq_plus_n_m_O_to_eq_m_O'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_1_succ' 'mat/le_SO_fact'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_pos'#@#variant 'mat/lt_SO_n_to_lt_O_pred_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_min_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_0' 'mat/A_SO'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zmult_lt_0_le_compat_r'#@#variant 'mat/lt_exp1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_le_mono' 'mat/lt_plus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_two_succ'#@#variant 'mat/B_SSSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_le_compat' 'mat/le_times'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_pow2'#@#variant 'mat/S_pred'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_max_distr' 'mat/Zopp_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_1_l'#@#variant 'mat/exp_n_O'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_divide_r' 'mat/divides_gcd_nm/0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_gt_lin_r'#@#variant 'mat/lt_m_exp_nm'#@#variant
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_phi' 'mat/factorize_defactorize'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sub_le_mono_r' 'mat/le_times_l'
0. 'coq/Coq_ZArith_Zquot_Zquot_le_lower_bound' 'mat/divides_times_to_divides_div'
0. 'coq/Coq_Structures_OrderedTypeEx_Z_as_OT_lt_not_eq' 'mat/lt_to_not_eq'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_sqrt_spec' 'mat/Magma_OF_Group'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_pos'#@#variant 'mat/lt_SO_n_to_lt_O_pred_n'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_nonneg'#@#variant 'mat/lt_SO_nth_prime_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lxor_assoc' 'mat/andbA'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_assoc' 'mat/andbA'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_le_compat' 'mat/le_plus'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_eq_refl'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_Reals_RIneq_Rle_antisym' 'mat/le_to_le_to_eq'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_0' 'mat/A_SSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div2_div'#@#variant 'mat/plus_n_SO'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_max_distr_l' 'mat/distr_times_minus'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono' 'mat/lt_times'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_one_succ'#@#variant 'mat/A_SSSO'#@#variant
0. 'coq/Coq_NArith_BinNat_N_gcd_eq_0_r' 'mat/andb_true_true_r'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_succ_min_distr' 'mat/Zopp_Zplus'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_assoc' 'mat/andb_assoc'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_succ_r' 'mat/plus_n_Sm'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_le_mono' 'mat/ltS'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_land_assoc' 'mat/andbA'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_mul_mono_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_2'#@#variant 'mat/B_SSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_log2_up_succ_log2' 'mat/le_teta'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qcmult_integral_l'#@#variant 'mat/times_O_to_O'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_1_r' 'mat/times_n_SO'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_trans' 'mat/trans_le'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_sub_mask_diag' 'mat/leb_refl'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_leb_refl' 'mat/eqb_n_n'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_neq_succ_diag_r' 'mat/not_eq_n_Sn'
0. 'coq/Coq_PArith_BinPos_Pos_min_id' 'mat/gcd_n_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_neq' 'mat/eq_to_not_lt'
0. 'coq/Coq_Reals_Rminmax_R_max_le_compat_l' 'mat/le_times_r'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_add_r' 'mat/le_plus_n_r'
0. 'coq/Coq_Reals_RIneq_not_INR' 'mat/inj_pos'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_nonneg'#@#variant 'mat/lt_SO_nth_prime_n'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_max_distr' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_neq_succ_diag_l' 'mat/not_eq_n_Sn'
0. 'coq/Coq_NArith_BinNat_N_gcd_0_l' 'mat/Ztimes_Zone_l'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_0'#@#variant 'mat/A_SSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_sub_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_pow_succ_r' 'mat/times_n_Sm'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_involutive' 'mat/opposite_direction_idempotent'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_nonneg' 'mat/lt_O_S'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_quotrem_eq' 'mat/Z_compare_to_Prop'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_ggcd_greatest' 'mat/eqb_to_Prop'
0. 'coq/Coq_Arith_PeanoNat_Nat_lor_0_l' 'mat/rtimes_one_r'
0. 'coq/Coq_Arith_Plus_plus_lt_compat_r' 'mat/le_times_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_le_compat' 'mat/le_plus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_divide_mono_l' 'mat/lt_plus_r'
0. 'coq/Coq_Arith_Mult_mult_le_compat_l' 'mat/lt_plus_r'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_ggcd_correct_divisors' 'mat/R'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_1_r' 'mat/times_n_SO'
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_pos'#@#variant 'mat/lt_SO_n_to_lt_O_pred_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_sub_distr_r' 'mat/times_exp'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lor_diag' 'mat/orb_refl'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_le_compat_l' 'mat/le_plus_r'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_lt_mono_r'#@#variant 'mat/lt_times_r1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_add_r' 'mat/divides_plus'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_lcm_r' 'mat/le_plus_n'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_assoc' 'mat/andb_assoc'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_pred_l' 'mat/Zplus_Zsucc'
0. 'coq/Coq_NArith_BinNat_N_shiftr_lxor' 'mat/times_plus_l'
0. 'coq/Coq_ZArith_BinInt_Z_ldiff_ldiff_l' 'mat/eq_minus_minus_minus_plus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lcm_0_l' 'mat/mod_O_n'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_le_mono' 'mat/ltS'
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_reflexive'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_1_r'#@#variant 'mat/times_n_O'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lxor_assoc' 'mat/andbA'
0. 'coq/Coq_ZArith_BinInt_Z_le_refl' 'mat/divides_n_n'
0. 'coq/Coq_NArith_BinNat_N_gcd_mul_mono_r' 'mat/times_plus_l'
0. 'coq/Coq_PArith_BinPos_Pos_compare_refl' 'mat/nat_compare_n_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_nonneg_l'#@#variant 'mat/le_exp'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_2'#@#variant 'mat/B_SSSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftl_lor' 'mat/times_plus_l'
0. 'coq/Coq_ZArith_BinInt_Z_log2_1'#@#variant 'mat/B_SSSO'#@#variant
0. 'coq/Coq_QArith_QOrderedType_QOrder_le_eq' 'mat/lt_to_le_to_lt'
0. 'coq/Coq_ZArith_BinInt_Z_lor_land_distr_r' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_NArith_BinNat_N_pred_le_mono' 'mat/le_S_S'
0. 'coq/Coq_PArith_BinPos_Pos_ggcd_greatest' 'mat/Z_compare_to_Prop'
0. 'coq/Coq_Reals_RIneq_Rmult_le_compat_l'#@#variant 'mat/le_exp'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_eq_sym'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_cos_2PI'#@#variant 'mat/A_SSSO'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_min_assoc' 'mat/andb_assoc'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_succ_diag_r' 'mat/le_n_fact_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_pos'#@#variant 'mat/lt_SO_n_to_lt_O_pred_n'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qlt_le_trans' 'mat/lt_to_le_to_lt'
0. 'coq/Coq_MMaps_MMapPositive_PositiveMap_E_lt_strorder'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_square' 'mat/eq_sqrt'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_max_distr' 'mat/Zopp_Zplus'
0. 'coq/Coq_QArith_Qreduction_Qminus_prime_comp' 'mat/lt_plus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_le_compat_l' 'mat/le_plus_r'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_quot_factor' 'mat/eq_div_plus'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_gcd_divide_r' 'mat/divides_gcd_nm/0'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_Even_or_Odd' 'mat/not_not_bertrand_to_bertrand'
0. 'coq/Coq_Reals_RIneq_Rmult_gt_reg_l' 'mat/lt_times_n_to_lt_r'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_le_compat' 'mat/lt_times'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_le_compat_r' 'mat/lt_plus_l'
0. 'coq/Coq_PArith_BinPos_Pos_le_min_r' 'mat/divides_gcd_nm/0'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lcm_diag' 'mat/orb_refl'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_div_1_r' 'mat/times_n_SO'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_nonneg'#@#variant 'mat/lt_SO_nth_prime_n'#@#variant
0. 'coq/Coq_PArith_BinPos_Pcompare_Eq_eq'#@#variant 'mat/eqb_true_to_eq'
0. 'coq/Coq_Reals_Rminmax_R_min_l' 'mat/le_to_mod'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_eq_trans'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_nonneg'#@#variant 'mat/lt_O_teta'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_lt_0'#@#variant 'mat/ltn_to_ltO'#@#variant
0. 'coq/Coq_Bool_Bool_orb_prop' 'mat/eq_Qtimes_OQ_to_eq_OQ'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_double_spec'#@#variant 'mat/eq_B_B1'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_le_compat_l' 'mat/le_plus_r'
0. 'coq/Coq_NArith_BinNat_N_pred_succ' 'mat/Zsucc_Zpred'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_leb_refl' 'mat/ltb_refl'
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_le_mono' 'mat/lt_to_lt_S_S'
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_factor_l' 'mat/le_plus_n_r'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_nonneg'#@#variant 'mat/lt_SO_nth_prime_n'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_nonneg'#@#variant 'mat/lt_O_S'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_transitive'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_inj' 'mat/not_eq_S'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_log2_log2_up' 'mat/le_times_SSO_n_exp_SSO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ltb_irrefl' 'mat/nat_compare_n_n'
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_pow2'#@#variant 'mat/S_pred'#@#variant
0. 'coq/Coq_Structures_DecidableTypeEx_Positive_as_DT_lt_trans' 'mat/trans_lt'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_0_l' 'mat/gcd_O_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_wf_0' 'mat/antisymmetric_divides'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_le_compat' 'mat/lt_plus'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_max_distr' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_le_compat_l' 'mat/le_times_r'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_eq_equiv'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_Structures_OrdersEx_PositiveOrderedTypeBits_eq_equiv'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_assoc' 'mat/assoc_plus'
0. 'coq/Coq_ZArith_BinInt_Z_lor_land_distr_r' 'mat/distr_times_plus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_2_r'#@#variant 'mat/exp_SSO'#@#variant
0. 'coq/Coq_ZArith_Zdiv_Zmod_opp_opp' 'mat/Qinv_Qtimes\''
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_min_distr' 'mat/distr_times_plus'
0. 'coq/Coq_Arith_PeanoNat_Nat_sub_1_r'#@#variant 'mat/plus_n_SO'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_log2_up_succ_log2' 'mat/le_teta'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_0' 'mat/A_SO'#@#variant
0. 'coq/Coq_Arith_Min_succ_min_distr' 'mat/Qinv_Qtimes\''
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_le_mono' 'mat/lt_plus'
0. 'coq/Coq_NArith_Nnat_N2Nat_id' 'mat/numeratorQ_nat_fact_all_to_Q'
0. 'coq/Coq_ZArith_BinInt_Z_two_succ'#@#variant 'mat/A_SSSO'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_succ_r' 'mat/exp_S'
0. 'coq/Coq_NArith_BinNat_N_max_min_distr' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_max_distr' 'mat/distr_times_minus'
0. 'coq/Coq_NArith_BinNat_N_min_assoc' 'mat/andb_assoc'
0. 'coq/Coq_ZArith_BinInt_Z_lnot_land' 'mat/demorgan1'
0. 'coq/Coq_Arith_PeanoNat_Nat_div_1_r' 'mat/times_n_SO'
0. 'coq/Coq_ZArith_BinInt_Z_land_assoc' 'mat/assoc_times'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_eq_refl'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_eq_0_l' 'mat/andb_true_true'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_strorder'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_l' 'mat/le_to_mod'
0. 'coq/__constr_Coq_Logic_ClassicalFacts_boolP_0_2' 'mat/daemon1'
0. 'coq/Coq_NArith_BinNat_N_pow_lt_mono_r'#@#variant 'mat/le_exp'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_min_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_min_distr' 'mat/distr_times_plus'
0. 'coq/__constr_Coq_Logic_ClassicalFacts_boolP_0_1' 'mat/daemon1'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_max_distr_l' 'mat/distr_times_minus'
0. 'coq/Coq_quote_Quote_index_eq_prop' 'mat/eqb_true_to_eq'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_min_distr' 'mat/distr_times_minus'
0. 'coq/Coq_NArith_BinNat_N_log2_le_lin'#@#variant 'mat/divides_smallest_factor_n'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qmult_lt_compat_r'#@#variant 'mat/lt_exp1'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_opp_max_distr' 'mat/demorgan1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_2'#@#variant 'mat/B_SSSO'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_reflexive'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_lt_cancel' 'mat/le_S_S_to_le'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div_eucl_spec' 'mat/ltb_to_Prop'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_1_l'#@#variant 'mat/rtimes_one_r'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono' 'mat/lt_times'
0. 'coq/Coq_PArith_BinPos_Pos_mul_le_mono' 'mat/divides_times'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono' 'mat/le_plus'
0. 'coq/Coq_NArith_BinNat_N_mul_lt_mono' 'mat/lt_times'
0. 'coq/Coq_Reals_Rminmax_R_OT_eq_equiv'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_max_id' 'mat/orb_refl'
0. 'coq/Coq_NArith_BinNat_N_eq_trans'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_max_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_eq_sym'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/__constr_Coq_Classes_CMorphisms_PartialApplication_0_1' 'mat/daemon1'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_sqrt_sqrt_up' 'mat/le_times_SSO_n_exp_SSO_n'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_l' 'mat/le_plus_r'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_land_diag' 'mat/orb_refl'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Topp_mult_r_stable' 'mat/monotonic_sqrt'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_sqrt_spec' 'mat/Magma_OF_finite_enumerable_SemiGroup'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_trans' 'mat/trans_divides'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftr_lor' 'mat/times_plus_l'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_assoc' 'mat/assoc_times'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_2'#@#variant 'mat/A_SSSO'#@#variant
0. 'coq/Coq_Reals_RIneq_Rplus_ge_compat' 'mat/le_times'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sub_le_mono_l' 'mat/monotonic_le_minus_r'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_lt_cancel' 'mat/ltS\''
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_add_pos_l'#@#variant 'mat/lt_m_exp_nm'#@#variant
0. 'coq/Coq_Bool_Bool_xorb_assoc_reverse' 'mat/andb_assoc'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_le_mono' 'mat/le_S_S'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_nonneg' 'mat/lt_O_nth_prime_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_id' 'mat/gcd_n_n'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_preorder'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_log2_2'#@#variant 'mat/A_SSSO'#@#variant
0. 'coq/Coq_Reals_RIneq_Rmult_lt_reg_l'#@#variant 'mat/le_exp_to_le'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lxor_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_pred' 'mat/Zsucc_Zpred'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_reflexive'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_NArith_BinNat_N_land_assoc' 'mat/andb_assoc'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_le_mono' 'mat/le_S_S'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_max_distr' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_ZArith_BinInt_Z_le_preorder'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_eqb_refl' 'mat/ltb_refl'
0. 'coq/Coq_NArith_BinNat_N_div_small' 'mat/eq_div_O'
0. 'coq/Coq_NArith_BinNat_N_mul_min_distr_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_1_l'#@#variant 'mat/Ztimes_Zone_l'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_1_succ' 'mat/lt_O_teta'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_nonneg'#@#variant 'mat/prime_nth_prime'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_nonneg' 'mat/lt_O_S'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_succ_diag_r' 'mat/lt_n_nth_prime_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_add_distr_r' 'mat/times_exp'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_sub_l' 'mat/divides_gcd_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_1_l'#@#variant 'mat/divides_SO_n'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_abs_nonneg' 'mat/lt_O_teta'
0. 'coq/Coq_NArith_BinNat_N_lor_assoc' 'mat/assoc_times'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_nonneg' 'mat/lt_O_teta'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pow_le_mono_l' 'mat/le_plus_l'
0. 'coq/Coq_Reals_Rminmax_R_le_min_r' 'mat/divides_gcd_m'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mod_1_r'#@#variant 'mat/mod_SO'#@#variant
0. 'coq/Coq_Arith_Min_min_assoc' 'mat/assoc_plus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_assoc' 'mat/assoc_times'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_le_mono' 'mat/le_S_S'
0. 'coq/Coq_NArith_BinNat_N_gcd_unique_prime' 'mat/gcd1'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_add_distr_r' 'mat/times_exp'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_max_distr_l' 'mat/exp_plus_times'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_even_aux' 'mat/Magma_OF_PreGroup'
0. 'coq/Coq_PArith_BinPos_Pos_min_le_compat_r' 'mat/lt_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_diag' 'mat/bc_n_n'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_le_lin'#@#variant 'mat/lt_sqrt_n'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_ggcd_correct_divisors' 'mat/eqZb_to_Prop'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_0_succ'#@#variant 'mat/lt_O_teta'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_lt_mono' 'mat/le_times'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_nonneg' 'mat/lt_O_nth_prime_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_nonneg'#@#variant 'mat/lt_O_S'#@#variant
0. 'coq/Coq_ZArith_Zquot_Zquot_0_l' 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_Reals_Rtrigo_calc_tan_2PI'#@#variant 'mat/B_SSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_ldiff_diag' 'mat/bc_n_n'#@#variant
0. 'coq/Coq_Bool_Bool_orb_andb_distrib_r' 'mat/distr_times_minus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_transitive'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_Reals_Rpower_exp_increasing' 'mat/lt_to_lt_S_S'
0. 'coq/Coq_Arith_PeanoNat_Nat_div2_double'#@#variant 'mat/Zpred_Zsucc'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_lt_mono' 'mat/lt_plus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_max_distr' 'mat/distr_times_minus'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_gcd_greatest' 'mat/divides_minus'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_sqrt_up_succ_sqrt' 'mat/le_teta'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lcm_0_l' 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lcm_mul_mono_r' 'mat/times_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_opp_diag_r' 'mat/Zplus_Zopp'
0. 'coq/Coq_Structures_OrderedTypeEx_Z_as_OT_lt_trans' 'mat/trans_lt'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_0_succ' 'mat/lt_O_S'
0. 'coq/Coq_QArith_Qcanon_Qcmult_le_compat_r'#@#variant 'mat/lt_exp1'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_nonneg'#@#variant 'mat/prime_nth_prime'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lxor_assoc' 'mat/assoc_plus'
0. 'coq/Coq_PArith_BinPos_Pos_mul_le_mono' 'mat/lt_times'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_max_distr_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_nonneg'#@#variant 'mat/lt_O_nth_prime_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_nonneg'#@#variant 'mat/lt_SO_nth_prime_n'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lxor_assoc' 'mat/andb_assoc'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrtrem_spec' 'mat/PreMonoid_OF_Group'
0. 'coq/Coq_QArith_Qminmax_Q_min_le_compat_l' 'mat/le_times_r'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_le_compat' 'mat/lt_plus'
0. 'coq/Coq_PArith_BinPos_Pos_min_1_l' 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_inj' 'mat/inj_S'
0. 'coq/Coq_ZArith_BinInt_Z_le_max_r' 'mat/le_plus_n'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_even_aux' 'mat/Magma_OF_Group'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_le_incl' 'mat/lt_to_le'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_min_distr_l' 'mat/distr_times_plus'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_le_compat' 'mat/lt_times'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lor_land_distr_r' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_2'#@#variant 'mat/eq_OZ_Zopp_OZ'
0. 'coq/Coq_Numbers_Cyclic_Int31_Int31_digits_ind' 'mat/variance_ind'
0. 'coq/__constr_Coq_Arith_Even_even_0_2' 'mat/lt_SO_n_to_lt_O_pred_n'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lor_land_distr_l' 'mat/times_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_succ_l' 'mat/Zplus_Zsucc'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_0_l' 'mat/Qtimes_Qone_q'
0. 'coq/Coq_ZArith_Zlogarithm_ZERO_le_N_digits'#@#variant 'mat/lt_SO_nth_prime_n'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_divide/0' 'mat/divides_gcd_n'
0. 'coq/Coq_Arith_PeanoNat_Nat_pred_le_mono' 'mat/ltS'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_opp_opp' 'mat/minus_S_S'
0. 'coq/Coq_ZArith_Zgcd_alt_fibonacci_incr' 'mat/lt_to_Zlt_pos_pos'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_even_aux' 'mat/magma'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_ggcd_correct_divisors' 'mat/leb_to_Prop'
0. 'coq/Coq_ZArith_BinInt_Z_ggcd_correct_divisors' 'mat/eqfb_to_Prop'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_le_mono' 'mat/le_to_le_pred'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_max_distr_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_le_lin'#@#variant 'mat/lt_sqrt_n'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_min_distr' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_add_distr' 'mat/eq_minus_minus_minus_plus'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lnot_ones' 'mat/minus_Sn_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_succ_diag_r' 'mat/le_n_fact_n'
0. 'coq/Coq_Reals_Rminmax_R_min_assoc' 'mat/andbA'
0. 'coq/Coq_NArith_BinNat_N_log2_2'#@#variant 'mat/B_SSSO'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_sub_distr_l' 'mat/distr_times_plus'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tred_factor6_stable' 'mat/injective_nth_prime'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_min_distr' 'mat/distr_times_plus'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_diag' 'mat/gcd_n_n'
0. 'coq/Coq_Reals_RIneq_Rnot_lt_le' 'mat/not_lt_to_le'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sub_max_distr_l' 'mat/exp_plus_times'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_1_l' 'mat/divides_SO_n'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_pos'#@#variant 'mat/prime_smallest_factor_n'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_gt_lin_r' 'mat/lt_m_exp_nm'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_2'#@#variant 'mat/B_SSSO'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_nonneg'#@#variant 'mat/lt_O_teta'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_le_compat' 'mat/lt_times'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_2'#@#variant 'mat/B_SSSO'#@#variant
0. 'coq/Coq_NArith_BinNat_N_log2_up_nonneg'#@#variant 'mat/not_nf_elim_not/1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_lt_succ_r' 'mat/ltW'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_1_l'#@#variant 'mat/gcd_O_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ldiff_diag' 'mat/minus_n_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_succ_diag_r' 'mat/le_n_fact_n'
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj' 'mat/inj_pos'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_le_mono' 'mat/le_pred'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sub_0_l' 'mat/mod_O_n'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_min_distr' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_le_compat_r' 'mat/le_plus_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_inj' 'mat/inj_S'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_sub_r' 'mat/divides_plus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_nonneg'#@#variant 'mat/lt_O_fact'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_sub_distr_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_even_aux' 'mat/semigroup'
0. 'coq/Coq_NArith_BinNat_N_mul_assoc' 'mat/assoc_plus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_pos_l'#@#variant 'mat/lt_O_exp'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_assoc' 'mat/assoc_plus'
0. 'coq/Coq_Reals_Exp_prop_exp_plus' 'mat/demorgan1'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_pos'#@#variant 'mat/lt_SO_n_to_lt_O_pred_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftr_ldiff' 'mat/times_exp'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_wf_0' 'mat/antisymmetric_divides'
0. 'coq/Coq_Arith_PeanoNat_Nat_lor_0_l' 'mat/gcd_O_n'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_strorder'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_nonneg'#@#variant 'mat/lt_O_fact'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_assoc' 'mat/assoc_plus'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div2_double' 'mat/Zsucc_Zpred'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_quotrem_eq' 'mat/Z_compare_to_Prop'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftr_ldiff' 'mat/times_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_1_r'#@#variant 'mat/times_n_O'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_two_succ'#@#variant 'mat/B_SSSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_0_succ'#@#variant 'mat/lt_O_nth_prime_n'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_div_eucl' 'mat/nat_compare_to_Prop'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_2'#@#variant 'mat/eq_OZ_Zopp_OZ'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_le_compat' 'mat/lt_times'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_opp_l' 'mat/Zplus_Zsucc'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_succ_r' 'mat/times_n_Sm'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lor_land_distr_l' 'mat/times_exp'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_nonneg'#@#variant 'mat/lt_O_S'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_le_mono_l' 'mat/le_plus_l'
0. 'coq/Coq_NArith_BinNat_N_divide_reflexive'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_1_l'#@#variant 'mat/rtimes_one_r'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_le_mono' 'mat/lt_plus'
0. 'coq/Coq_PArith_BinPos_Pos_gcd_divide_l' 'mat/divides_gcd_n'
0. 'coq/Coq_Reals_Rminmax_R_plus_max_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_NArith_BinNat_N_min_assoc' 'mat/andbA'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_divide_mono_r' 'mat/le_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_b2z_inj' 'mat/inj_neg'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_max_distr_l' 'mat/distr_times_plus'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_land_0_r' 'mat/Ztimes_z_OZ'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_1_r'#@#variant 'mat/plus_n_SO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_land_lor_distr_r' 'mat/distr_times_plus'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_1'#@#variant 'mat/B_SSSSO'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_pred_l' 'mat/Zplus_Zpred'
0. 'coq/Coq_Arith_PeanoNat_Nat_compare_antisym' 'mat/nat_compare_n_m_m_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_lt_mono' 'mat/le_plus'
0. 'coq/Coq_NArith_BinNat_N_lt_trans' 'mat/trans_le'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_assoc' 'mat/andb_assoc'
0. 'coq/Coq_NArith_BinNat_N_mod_1_l'#@#variant 'mat/exp_n_O'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_greatest' 'mat/divides_plus'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_0_succ'#@#variant 'mat/lt_O_S'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lxor_assoc' 'mat/andb_assoc'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_le_compat_r' 'mat/le_plus_l'
0. 'coq/Coq_NArith_BinNat_N_min_0_r' 'mat/Qtimes_q_OQ'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_divide_mono_r' 'mat/lt_plus_l'
0. 'coq/Coq_Arith_Max_plus_max_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_Reals_Rminmax_R_minus_max_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_lt_cancel' 'mat/ltS\''
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_trans' 'mat/trans_divides'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_factor_r' 'mat/le_plus_n'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_nonneg'#@#variant 'mat/not_nf_elim_not/1'
0. 'coq/Coq_Reals_Raxioms_Rplus_opp_r' 'mat/rtimes_rinv'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_1_l'#@#variant 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_lt_mono' 'mat/lt_plus'
0. 'coq/Coq_ZArith_Zdiv_Zdiv_lt_upper_bound'#@#variant 'mat/le_times_to_le_div2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div2_double' 'mat/pred_Sn'
0. 'coq/Coq_NArith_BinNat_N_lcm_assoc' 'mat/assoc_times'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_le_compat_l' 'mat/lt_plus_r'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div_eucl_spec' 'mat/eqb_to_Prop'
0. 'coq/Coq_Arith_Lt_lt_pred_n_n'#@#variant 'mat/lt_sqrt_n'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_land_0_l' 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_div_lt'#@#variant 'mat/lt_div'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Topp_mult_r_stable' 'mat/injective_nth_prime'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_mul_max_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_max_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_NArith_Ndiv_def_Pdiv_eucl_correct' 'mat/R'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_eq_sym'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_lt_cancel' 'mat/ltS\''
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lor_land_distr_r' 'mat/distr_times_minus'
0. 'coq/Coq_ZArith_BinInt_Z_ldiff_diag' 'mat/bc_n_n'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div2_spec'#@#variant 'mat/plus_n_SO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_max_distr' 'mat/distr_times_minus'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_1_r'#@#variant 'mat/plus_n_SO'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_pos_le'#@#variant 'mat/divides_to_le'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_NArith_BinNat_N_compare_refl' 'mat/eqb_n_n'
0. 'coq/Coq_ZArith_BinInt_Z_eq_trans'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_pred_sub' 'mat/plus_n_SO'#@#variant
0. 'coq/Coq_Reals_RIneq_Rle_0_sqr'#@#variant 'mat/not_nf_elim_not/1'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_le_mono' 'mat/le_pred'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lcm_1_l'#@#variant 'mat/rtimes_one_r'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_involutive' 'mat/Zopp_Zopp'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_eq_refl'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_pos_le'#@#variant 'mat/divides_to_le'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_0_r' 'mat/Qtimes_q_OQ'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_le_compat' 'mat/lt_plus'
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_le_mono' 'mat/le_S_S'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_minus_one_neq_zero'#@#variant 'mat/not_eq_true_false'
0. 'coq/Coq_Arith_PeanoNat_Nat_ldiff_diag' 'mat/minus_n_n'
0. 'coq/Coq_ZArith_BinInt_Zpred_succ' 'mat/pred_Sn'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_le_mono' 'mat/le_S_S'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_assoc' 'mat/andbA'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_eq_trans'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_assoc' 'mat/assoc_plus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_l' 'mat/lt_plus_r'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_trans' 'mat/trans_divides'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_E_bits_lt_trans' 'mat/trans_le'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_min_distr' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_nonneg'#@#variant 'mat/not_nf_elim_not/0'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_le_compat' 'mat/lt_times'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pred_le_mono' 'mat/le_S_S'
0. 'coq/Coq_Arith_Mult_mult_is_O' 'mat/times_O_to_O'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_lt_lin'#@#variant 'mat/divides_smallest_factor_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_le_mono' 'mat/le_to_le_pred'
0. 'coq/Coq_fourier_Fourier_util_Rfourier_lt'#@#variant 'mat/lt_times_r1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_opp_opp' 'mat/minus_S_S'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_lt_trans' 'mat/le_to_lt_to_lt'
0. 'coq/Coq_ZArith_BinInt_Z_add_min_distr_l' 'mat/distr_times_minus'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_l' 'mat/lt_to_eq_mod'
0. 'coq/Coq_ZArith_BinInt_Z_min_le_compat_r' 'mat/le_times_l'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_le_compat' 'mat/divides_times'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_mul_r'#@#variant 'mat/eq_div_div_div_times'#@#variant
0. 'coq/Coq_QArith_QOrderedType_QOrder_TO_eq_equiv'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_max_distr_r' 'mat/times_exp'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_lt_mono' 'mat/lt_plus'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Topp_plus_stable' 'mat/injective_S'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_mult' 'mat/Qinv_Qtimes\''
0. 'coq/Coq_ZArith_Zorder_Zlt_succ_le' 'mat/lt_S_to_le'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_lt_mono_r'#@#variant 'mat/lt_times_r1'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_1'#@#variant 'mat/A_SSSO'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_le_mono_r'#@#variant 'mat/le_exp'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_trans' 'mat/trans_lt'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_lt_succ_r' 'mat/ltW'
0. 'coq/Coq_NArith_BinNat_N_mul_0_l' 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_le_mono_nonneg_l'#@#variant 'mat/lt_times_r1'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sub_max_distr_l' 'mat/exp_plus_times'
0. 'coq/Coq_NArith_BinNat_N_add_max_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_PArith_BinPos_Pos_le_min_r' 'mat/divides_gcd_m'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_sub_r' 'mat/divides_plus'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_le_mono' 'mat/le_pred'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_inj_r'#@#variant 'mat/inj_exp_r'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_le_compat' 'mat/divides_times'
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_2'#@#variant 'mat/A_SO'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_le_compat_l' 'mat/le_times_r'
0. 'coq/Coq_QArith_QArith_base_Qle_not_lt' 'mat/le_to_not_lt'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_sub_r' 'mat/divides_plus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_assoc' 'mat/andb_assoc'
0. 'coq/Coq_NArith_BinNat_N_land_0_l' 'mat/mod_O_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftr_ldiff' 'mat/times_exp'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lor_0_l' 'mat/gcd_O_n'
0. 'coq/Coq_PArith_BinPos_Pos_max_le_compat_r' 'mat/lt_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_max_distr_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_le_lin'#@#variant 'mat/lt_sqrt_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_lt_cancel' 'mat/ltS\''
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftr_ldiff' 'mat/times_plus_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_preorder'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lxor_nilpotent' 'mat/bc_n_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div2_double' 'mat/Zsucc_Zpred'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_0_l' 'mat/gcd_O_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sub_min_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_land_diag' 'mat/gcd_n_n'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftl_land' 'mat/times_minus_l'
0. 'coq/Coq_NArith_BinNat_N_shiftr_land' 'mat/times_exp'
0. 'coq/Coq_PArith_BinPos_Pplus_one_succ_r' 'mat/plus_n_SO'#@#variant
0. 'coq/Coq_Reals_RIneq_Rmult_lt_reg_r'#@#variant 'mat/lt_exp_to_lt1'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftl_0_l' 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_sqrt_spec' 'mat/num'
0. 'coq/Coq_NArith_BinNat_N_pow_1_l'#@#variant 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_PArith_BinPos_Pcompare_Eq_eq'#@#variant 'mat/same_atom_to_eq'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_strorder'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_E_bits_lt_trans' 'mat/trans_lt'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sub_0_l' 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_lt_lin'#@#variant 'mat/divides_smallest_factor_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_decidable' 'mat/decidable_lt'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_0_succ' 'mat/lt_O_teta'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_le_mono' 'mat/lt_plus'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_eq_refl'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_Structures_OrderedTypeEx_N_as_OT_lt_not_eq' 'mat/eq_to_not_lt'
0. 'coq/Coq_Arith_Max_max_assoc' 'mat/assoc_times'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_sub_l' 'mat/le_minus_m'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_le_mono_l' 'mat/le_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_divide/0' 'mat/divides_gcd_n'
0. 'coq/Coq_QArith_Qminmax_Q_max_le_compat_l' 'mat/le_times_r'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_nonneg'#@#variant 'mat/lt_SO_nth_prime_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_eq_decidable' 'mat/bool_to_decidable_eq'
0. 'coq/Coq_PArith_BinPos_Pos_add_assoc' 'mat/assoc_times'
0. 'coq/Coq_NArith_Ndist_ni_min_inf_l' 'mat/Ztimes_Zone_l'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_max_distr' 'mat/Zopp_Zplus'
0. 'coq/Coq_NArith_BinNat_N_eq_refl'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_lt_mono' 'mat/lt_times'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_1'#@#variant 'mat/A_SSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lcm_mul_mono_r' 'mat/times_minus_l'
0. 'coq/Coq_ZArith_BinInt_Z_land_diag' 'mat/gcd_n_n'
0. 'coq/Coq_Reals_Rtrigo_def_cosn_no_R0' 'mat/not_eq_denominator_nfa_zero'
0. 'coq/Coq_Reals_ROrderedType_R_as_DT_eq_equiv'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_1_r'#@#variant 'mat/plus_n_SO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_nonneg' 'mat/le_SO_fact'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_lt_mono' 'mat/le_plus'
0. 'coq/Coq_NArith_BinNat_N_sqrtrem_spec' 'mat/magma'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_lt_cancel' 'mat/ltS\''
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_square_spec' 'mat/times_SSO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftr_lxor' 'mat/times_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_succ' 'mat/Zpred_Zsucc'
0. 'coq/Coq_Arith_PeanoNat_Nat_ltb_irrefl' 'mat/eqb_n_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lxor_nilpotent' 'mat/bc_n_n'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_gcd_quot_factor' 'mat/eq_div_plus'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_log2_log2_up' 'mat/le_times_SSO_n_exp_SSO_n'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_preorder'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_max_distr_l' 'mat/distr_times_plus'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_preorder'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_inj' 'mat/not_eq_S'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_gcd_greatest' 'mat/divides_plus'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_neq' 'mat/lt_to_not_eq'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div2_double' 'mat/pred_Sn'
0. 'coq/Coq_Reals_RIneq_Rmult_le_compat_r'#@#variant 'mat/lt_times_l1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_nonneg'#@#variant 'mat/prime_nth_prime'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_antisymm' 'mat/le_to_le_to_eq'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftl_ldiff' 'mat/times_minus_l'
0. 'coq/Coq_Arith_Min_min_l' 'mat/lt_to_eq_mod'
0. 'coq/Coq_NArith_BinNat_N_log2_le_mono' 'mat/le_to_le_pred'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_mul_l' 'mat/times_plus_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_min_distr_r' 'mat/times_exp'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_le_mono_r'#@#variant 'mat/lt_exp'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_compare_eq' 'mat/same_atom_to_eq'
0. 'coq/Coq_ZArith_BinInt_Z_le_min_l' 'mat/divides_gcd_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_land_assoc' 'mat/assoc_plus'
0. 'coq/Coq_NArith_Ndist_Npdist_eq_1' 'mat/ltb_refl'
0. 'coq/Coq_Structures_OrderedTypeEx_N_as_OT_lt_trans' 'mat/trans_le'
0. 'coq/Coq_Classes_RelationClasses_iff_Reflexive' 'mat/reflexive_iff'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_min_distr_r' 'mat/times_exp'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_even_succ' 'mat/pos_n_eq_S_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_pos'#@#variant 'mat/le_SSO_fact'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_nonneg' 'mat/le_SO_fact'#@#variant
0. 'coq/Coq_NArith_Ndec_Nleb_refl' 'mat/eqb_n_n'
0. 'coq/Coq_ZArith_BinInt_Z_log2_pos'#@#variant 'mat/lt_SO_n_to_lt_O_pred_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lor_m1_l'#@#variant 'mat/mod_O_n'
0. 'coq/Coq_Reals_Rminmax_R_max_id' 'mat/orb_refl'
0. 'coq/Coq_NArith_BinNat_N_max_assoc' 'mat/assoc_plus'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_le_compat_r' 'mat/le_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_sqrt_spec' 'mat/segment_finType'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrtrem_spec' 'mat/fsort'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_nonneg'#@#variant 'mat/not_nf_elim_not/1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_lt_trans' 'mat/le_to_lt_to_lt'
0. 'coq/Coq_Reals_RIneq_Rmult_0_r' 'mat/times_n_O'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_min_distr' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_lt_mono' 'mat/lt_plus'
0. 'coq/Coq_PArith_BinPos_Pos_mul_le_mono' 'mat/le_times'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_pos'#@#variant 'mat/lt_SO_n_to_lt_O_pred_n'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_lt_lin'#@#variant 'mat/lt_sqrt_n'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_double_mul' 'mat/Zplus_Zsucc'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_pos_le'#@#variant 'mat/divides_to_le'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_le_compat' 'mat/divides_times'
0. 'coq/Coq_Reals_RList_RList_P27' 'mat/assoc_times'
0. 'coq/Coq_NArith_BinNat_N_shiftl_ldiff' 'mat/times_exp'
0. 'coq/Coq_NArith_BinNat_N_min_max_distr' 'mat/distr_times_plus'
0. 'coq/Coq_NArith_BinNat_N_mul_0_r' 'mat/Qtimes_q_OQ'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_min_distr' 'mat/Qinv_Qtimes\''
0. 'coq/Coq_QArith_Qcanon_Qclt_not_le' 'mat/lt_to_not_le'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pow_lt_mono_r'#@#variant 'mat/le_exp'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lxor_assoc' 'mat/assoc_times'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_le_mono' 'mat/le_to_le_pred'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_strorder'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_NArith_BinNat_N_div_small' 'mat/eq_minus_n_m_O'
0. 'coq/Coq_Reals_RIneq_Rgt_irrefl' 'mat/Not_lt_n_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_NArith_BinNat_N_min_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_pred_l' 'mat/le_sqrt_n_n'
0. 'coq/Coq_NArith_BinNat_N_gcd_mul_mono_r' 'mat/times_exp'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_eq_equiv'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_ZArith_Zbool_Zgt_cases' 'mat/eqfb_to_Prop'
0. 'coq/Coq_NArith_BinNat_N_nlt_succ_diag_l' 'mat/not_le_Sn_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_nonneg'#@#variant 'mat/lt_O_fact'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_0_succ'#@#variant 'mat/lt_O_fact'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_nonneg' 'mat/lt_O_nth_prime_n'
0. 'coq/Coq_Reals_RIneq_Rplus_le_compat_l' 'mat/le_plus_r'
0. 'coq/Coq_Reals_RIneq_Rplus_le_compat_l' 'mat/le_times_r'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_0_succ'#@#variant 'mat/lt_O_teta'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_mul_l' 'mat/times_plus_l'
0. 'coq/Coq_PArith_BinPos_Pos_add_min_distr_r' 'mat/times_exp'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_succ_min_distr' 'mat/Zopp_Zplus'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_0_l' 'mat/le_O_n'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_0_l' 'mat/Ztimes_Zone_l'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_le_compat_r' 'mat/le_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_unique_prime' 'mat/gcd1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_sub_l' 'mat/divides_gcd_n'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_leb_refl' 'mat/ltb_refl'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_strorder'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_log2_nonneg'#@#variant 'mat/lt_O_teta'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_le_compat_l' 'mat/le_times_r'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_compare_antisym' 'mat/nat_compare_n_m_m_n'
0. 'coq/Coq_ZArith_Znumtheory_Zgcd_ass' 'mat/assoc_plus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_max_l' 'mat/le_plus_n_r'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_1_r'#@#variant 'mat/plus_n_SO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_reflexive'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_Reals_RIneq_Rplus_lt_compat' 'mat/divides_times'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_lt_mono' 'mat/lt_times'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_pos_le' 'mat/divides_to_le'
0. 'coq/Coq_NArith_BinNat_N_add_lt_mono' 'mat/le_times'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_0_succ'#@#variant 'mat/not_nf_elim_not/1'
0. 'coq/Coq_NArith_BinNat_N_sub_min_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_ZArith_Zorder_Zmult_lt_0_le_compat_r'#@#variant 'mat/lt_times_l1'#@#variant
0. 'coq/Coq_ZArith_Zquot_Zrem_0_l' 'mat/mod_O_n'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_xO' 'mat/Qinv_Qtimes\''
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_1_l'#@#variant 'mat/mod_O_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_mul_mono_l' 'mat/distr_times_minus'
0. 'coq/Coq_Reals_R_sqrt_sqrt_le_1_alt' 'mat/lt_to_lt_S_S'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_nonneg' 'mat/lt_O_teta'
0. 'coq/Coq_QArith_Qreduction_Qred_comp' 'mat/le_to_le_pred'
0. 'coq/Coq_NArith_BinNat_N_lt_0_succ' 'mat/lt_O_fact'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_sqrt_spec' 'mat/premonoid0'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_leb_refl' 'mat/eqb_n_n'
0. 'coq/Coq_Reals_Rminmax_R_plus_min_distr_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Reals_Rbasic_fun_Rle_abs' 'mat/le_n_fact_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sub_max_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_le_mono_l' 'mat/le_plus_l'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_even' 'mat/numerator_nat_fact_to_fraction'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_1_l'#@#variant 'mat/Ztimes_Zone_l'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_nonneg' 'mat/lt_O_fact'
0. 'coq/Coq_Arith_Even_even_mult_l' 'mat/lt_O_exp'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_nonneg_r' 'mat/lt_exp1'
0. 'coq/Coq_Reals_RIneq_Rmult_le_compat_l'#@#variant 'mat/le_log'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_le_min_l' 'mat/divides_gcd_nm/1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_square_spec' 'mat/times_SSO_n'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_nonneg'#@#variant 'mat/not_nf_elim_not/1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftr_lxor' 'mat/times_plus_l'
0. 'coq/Coq_NArith_BinNat_N_gcd_0_l' 'mat/rtimes_one_r'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_antisym' 'mat/le_to_le_to_eq'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_strorder'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_Reals_RIneq_Rmult_integral_contrapositive' 'mat/eq_Qtimes_OQ_to_eq_OQ'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_double_inj' 'mat/not_eq_S'
0. 'coq/Coq_Arith_PeanoNat_Nat_pred_le_mono' 'mat/le_pred'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_Arith_PeanoNat_Nat_max_le_compat' 'mat/lt_plus'
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_lt_cancel' 'mat/le_S_S_to_le'
0. 'coq/Coq_Structures_DecidableTypeEx_Z_as_DT_lt_not_eq' 'mat/lt_to_not_eq'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ldiff_m1_r'#@#variant 'mat/mod_SO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_neq' 'mat/lt_to_not_eq'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_succ_diag_r' 'mat/le_n_Sn'
0. 'coq/Coq_ZArith_BinInt_Z_min_max_distr' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftl_ldiff' 'mat/times_minus_l'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_1_l' 'mat/Zsucc_Zplus_pos_O'
0. 'coq/Coq_Reals_RIneq_Rmult_le_reg_r'#@#variant 'mat/lt_times_n_to_lt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_succ_inj' 'mat/not_eq_S'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_nonneg_l'#@#variant 'mat/lt_exp'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_antisymm' 'mat/le_to_le_to_eq'
0. 'coq/Coq_Bool_Bool_orb_true_l' 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_log2_le_mono' 'mat/le_S_S'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_ggcd_correct_divisors' 'mat/eqfb_to_Prop'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_nonneg' 'mat/le_SO_fact'#@#variant
0. 'coq/Coq_NArith_BinNat_N_compare_antisym' 'mat/nat_compare_n_m_m_n'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_assoc' 'mat/andbA'
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_le_mono' 'mat/ltS'
0. 'coq/Coq_Reals_Rtrigo1_continuity_cos' 'mat/monotonic_sqrt'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_0_l' 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_lt_cancel' 'mat/le_S_S_to_le'
0. 'coq/Coq_Reals_RIneq_Rplus_le_compat_r' 'mat/le_plus_l'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tmult_assoc_reduced_stable' 'mat/injective_S'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_log2_up_succ_log2' 'mat/le_teta'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftr_lor' 'mat/times_minus_l'
0. 'coq/Coq_NArith_BinNat_N_lcm_1_l'#@#variant 'mat/Qtimes_Qone_q'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_IsTO_lt_strorder'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_Reals_RIneq_Rplus_le_compat_r' 'mat/le_times_l'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sub_le_mono_r' 'mat/lt_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_1_l' 'mat/Zpred_Zplus_neg_O'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_max_distr' 'mat/Qinv_Qtimes\''
0. 'coq/Coq_FSets_FSetPositive_PositiveSet_compare_eq' 'mat/divides_b_true_to_divides'
0. 'coq/Coq_NArith_BinNat_N_max_le_compat' 'mat/lt_plus'
0. 'coq/Coq_Arith_Gt_gt_Sn_n' 'mat/le_prim_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_m1'#@#variant 'mat/B_SSSSO'#@#variant
0. 'coq/Coq_Reals_Rpower_arcsinh_lt' 'mat/le_to_le_pred'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_1_l'#@#variant 'mat/Ztimes_Zone_l'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_0' 'mat/A_SO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_lt_cancel' 'mat/lt_S_S_to_lt'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrtrem_spec' 'mat/premonoid'
0. 'coq/Coq_Init_Datatypes_idProp' 'mat/daemon1'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_0_succ' 'mat/lt_O_fact'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_le_compat' 'mat/lt_plus'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrtrem_spec' 'mat/magma0'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_le_compat_l' 'mat/le_plus_r'
0. 'coq/Coq_NArith_BinNat_N_sub_add' 'mat/plus_minus_m_m'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_max_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_carry_reg_l' 'mat/inj_plus_r'
0. 'coq/Coq_fourier_Fourier_util_Rfourier_lt'#@#variant 'mat/lt_exp'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zmult_lt_reg_r'#@#variant 'mat/le_exp_to_le1'#@#variant
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_IsTO_lt_strorder'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lcm_0_l' 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_even_aux' 'mat/num'
0. 'coq/Coq_Reals_Raxioms_Rplus_lt_compat_l' 'mat/le_times_r'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div2_succ_double' 'mat/Zpred_Zsucc'
0. 'coq/Coq_Arith_PeanoNat_Nat_land_0_r' 'mat/times_n_O'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_inj' 'mat/not_eq_S'
0. 'coq/Coq_NArith_BinNat_N_pred_le_mono' 'mat/le_to_le_pred'
0. 'coq/Coq_ZArith_BinInt_Z_lt_succ_diag_r' 'mat/le_n_fact_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_min_distr_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_PArith_BinPos_Pos_mul_add_distr_l' 'mat/distr_times_plus'
0. 'coq/Coq_Reals_Exp_prop_div2_not_R0'#@#variant 'mat/lt_SO_n_to_lt_O_pred_n'#@#variant
0. 'coq/Coq_Reals_Rpower_arcsinh_le' 'mat/le_to_le_pred'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sub_1_r'#@#variant 'mat/plus_n_SO'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_min_r' 'mat/divides_gcd_nm/0'
0. 'coq/Coq_NArith_BinNat_N_divide_0_r' 'mat/divides_n_O'
0. 'coq/Coq_ZArith_BinInt_Z_opp_0' 'mat/A_SSO'#@#variant
0. 'coq/Coq_Reals_RIneq_Rminus_gt_0_lt' 'mat/lt_O_minus_to_lt'
0. 'coq/Coq_ZArith_BinInt_Z_pred_succ' 'mat/pred_Sn'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_one_succ'#@#variant 'mat/B_SSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_lcm_r' 'mat/le_plus_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_1'#@#variant 'mat/eq_OZ_Zopp_OZ'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_min_l' 'mat/divides_gcd_n'
0. 'coq/Coq_PArith_BinPos_Pos_max_id' 'mat/gcd_n_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_2'#@#variant 'mat/A_SSSO'#@#variant
0. 'coq/Coq_Arith_Le_le_S_n' 'mat/lt_S_S_to_lt'
0. 'coq/Coq_QArith_Qcanon_Qcmult_1_l'#@#variant 'mat/gcd_O_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_le_compat_l' 'mat/lt_plus_r'
0. 'coq/Coq_Arith_PeanoNat_Nat_min_id' 'mat/gcd_n_n'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_0' 'mat/eq_OZ_Zopp_OZ'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ldiff_ldiff_l' 'mat/exp_exp_times'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_assoc' 'mat/andbA'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_le_mono' 'mat/le_S_S'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pos_sub_diag' 'mat/nat_compare_n_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_mul_l' 'mat/times_plus_l'
0. 'coq/Coq_Reals_Rminmax_R_min_max_distr' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_0_succ' 'mat/lt_O_nth_prime_n'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_min_distr' 'mat/demorgan1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_lt_mono' 'mat/le_plus'
0. 'coq/Coq_Reals_Rpower_arcsinh_lt' 'mat/ltS'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_1'#@#variant 'mat/A_SSSO'#@#variant
0. 'coq/Coq_ZArith_BinInt_Zpred_succ' 'mat/Zpred_Zsucc'
0. 'coq/Coq_PArith_BinPos_Pos_min_assoc' 'mat/andbA'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_quotrem_eq' 'mat/eqfb_to_Prop'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ldiff_m1_r'#@#variant 'mat/bc_n_O'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_1_l'#@#variant 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_mul_r' 'mat/exp_exp_times'
0. 'coq/Coq_PArith_BinPos_Pos_compare_refl' 'mat/ltb_refl'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_pos_le' 'mat/divides_to_le'
0. 'coq/Coq_NArith_BinNat_N_log2_up_le_mono' 'mat/lt_to_lt_S_S'
0. 'coq/Coq_ZArith_BinInt_Z_divide_trans' 'mat/trans_lt'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tred_factor6_stable' 'mat/increasing_nth_prime'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_lcm_l' 'mat/le_plus_n_r'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftr_lor' 'mat/times_exp'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_nonneg'#@#variant 'mat/lt_O_nth_prime_n'#@#variant
0. 'coq/Coq_Logic_ClassicalFacts_FalseP' 'mat/daemon0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lor_assoc' 'mat/assoc_times'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_le_mono_nonneg_l'#@#variant 'mat/lt_exp'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_le_compat_l' 'mat/lt_plus_r'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_eq_sym'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_ZArith_Zlogarithm_ZERO_le_N_digits' 'mat/lt_O_S'
0. 'coq/Coq_QArith_QArith_base_Qmult_lt_compat_r'#@#variant 'mat/lt_times_l1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_l' 'mat/lt_to_eq_mod'
0. 'coq/Coq_Arith_PeanoNat_Nat_eq_mul_0_r' 'mat/times_O_to_O'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_nonneg' 'mat/lt_O_fact'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_leb_refl' 'mat/eqb_n_n'
0. 'coq/Coq_ZArith_BinInt_Z_lxor_0_l' 'mat/Ztimes_Zone_l'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_0_r' 'mat/Qtimes_q_OQ'
0. 'coq/Coq_Reals_RIneq_Ropp_0' 'mat/A_SSO'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_lt_strorder'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_0_l' 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_le_preorder'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sub_add_distr' 'mat/eq_minus_minus_minus_plus'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_ltb_irrefl' 'mat/nat_compare_n_n'
0. 'coq/Coq_NArith_BinNat_N_sub_diag' 'mat/bc_n_n'#@#variant
0. 'coq/Coq_Reals_Rpower_arcsinh_le' 'mat/ltS'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_l' 'mat/lt_to_eq_mod'
0. 'coq/Coq_Arith_PeanoNat_Nat_nlt_succ_diag_l' 'mat/not_le_Sn_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_add_distr_l' 'mat/distr_times_plus'
0. 'coq/Coq_Reals_ROrderedType_ROrder_lt_trans' 'mat/trans_le'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_even_aux' 'mat/segment_finType'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_size_le'#@#variant 'mat/le_exp_SSO_fact'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lor_diag' 'mat/orb_refl'
0. 'coq/Coq_NArith_BinNat_N_one_succ'#@#variant 'mat/A_SSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_2'#@#variant 'mat/A_SSSO'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_eq_equiv'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_NArith_BinNat_N_leb_refl' 'mat/eqb_n_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_divide_mono_r' 'mat/le_times_l'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_le_mono' 'mat/le_S_S'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_lt_lin'#@#variant 'mat/divides_smallest_factor_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_add_distr' 'mat/exp_exp_times'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_lt_0' 'mat/ltn_to_ltO'
0. 'coq/Coq_PArith_BinPos_Pos_add_carry_reg_l' 'mat/inj_plus_r'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_le_compat' 'mat/le_plus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_max_distr_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_QArith_Qcanon_Qcmult_plus_distr_r' 'mat/distr_times_minus'
0. 'coq/Coq_Arith_PeanoNat_Nat_lcm_1_r' 'mat/div_SO'
0. 'coq/Coq_ZArith_Zpow_alt_Zpower_alt_0_r'#@#variant 'mat/mod_SO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lcm_0_r' 'mat/times_n_O'
0. 'coq/Coq_ZArith_BinInt_Zopp_mult_distr_l' 'mat/Zplus_Zsucc'
0. 'coq/Coq_QArith_Qminmax_Q_max_le_compat' 'mat/le_times'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_sub_distr_l' 'mat/distr_times_plus'
0. 'coq/Coq_setoid_ring_InitialRing_Neqb_ok' 'mat/same_atom_to_eq'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_1'#@#variant 'mat/A_SO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_refl' 'mat/divides_n_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_1'#@#variant 'mat/B_SSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_le_mono_l' 'mat/le_times_l'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_add_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_Arith_Min_min_idempotent' 'mat/orb_refl'
0. 'coq/Coq_Reals_Rtrigo_def_sin_no_R0' 'mat/not_eq_denominator_nfa_zero'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lcm_mul_mono_r' 'mat/times_plus_l'
0. 'coq/Coq_Arith_Gt_gt_Sn_n' 'mat/le_pred_n'
0. 'coq/Coq_ZArith_BinInt_Z_sub_max_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_NArith_BinNat_N_log2_up_nonneg' 'mat/lt_O_nth_prime_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_divide_l' 'mat/le_minus_m'
0. 'coq/Coq_NArith_BinNat_N_compare_refl' 'mat/nat_compare_n_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_succ_diag_r' 'mat/le_n_fact_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_max_distr_r' 'mat/times_exp'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_nonneg'#@#variant 'mat/lt_O_teta'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_land_diag' 'mat/gcd_n_n'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_nlt_succ_diag_l' 'mat/not_le_Sn_n'
0. 'coq/Coq_Reals_R_sqrt_sqrt_positivity'#@#variant 'mat/lt_O_smallest_factor'#@#variant
0. 'coq/Coq_NArith_Ndist_ni_le_trans' 'mat/trans_le'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_le_mono' 'mat/le_times'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_max_distr_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Classes_RelationClasses_iff_Transitive' 'mat/symmetric_iff'
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_reflexive'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_sub_diag' 'mat/bc_n_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_glb_lt' 'mat/divides_plus'
0. 'coq/Coq_PArith_BinPos_Pos_min_max_distr' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Arith_PeanoNat_Nat_sub_max_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_PArith_BinPos_Pos_compare_eq' 'mat/same_atom_to_eq'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_le_mono' 'mat/le_times'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_0' 'mat/A_SSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_rem_opp_l_prime' 'mat/Zplus_Zsucc'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_land_0_r' 'mat/Ztimes_z_OZ'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_land_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_sub_distr_l' 'mat/distr_times_minus'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_reflexive'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_divide_r' 'mat/divides_gcd_m'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_min_distr_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_1_r' 'mat/times_n_SO'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_eq_0_l' 'mat/andb_true_true'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_assoc' 'mat/assoc_plus'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_min_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_Structures_OrdersEx_PositiveOrderedTypeBits_lt_strorder'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_Bool_Bool_orb_false_elim' 'mat/and_true'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_assoc' 'mat/assoc_times'
0. 'coq/Coq_QArith_QArith_base_Qle_not_lt' 'mat/lt_to_not_le'
0. 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_lt_trans' 'mat/trans_lt'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_l' 'mat/le_plus_r'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_lcm_r' 'mat/le_plus_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_eq_mul_0_r' 'mat/times_O_to_O'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_succ_diag_r' 'mat/le_n_fact_n'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_stepr' 'mat/lt_to_le_to_lt'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_lt_lin'#@#variant 'mat/divides_smallest_factor_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_sub_r' 'mat/divides_plus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_eq_refl'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lt_add_pos_l'#@#variant 'mat/lt_m_exp_nm'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pos_sub_discr' 'mat/R'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_eqb_refl' 'mat/nat_compare_n_n'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_nonneg'#@#variant 'mat/not_nf_elim_not/0'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_nonneg'#@#variant 'mat/not_nf_elim_not/0'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_le_mono' 'mat/le_S_S'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lcm_1_l'#@#variant 'mat/rtimes_one_r'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_le_compat_l' 'mat/le_times_r'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_preorder'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_compare_xO_xO' 'mat/nat_compare_S_S'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_1'#@#variant 'mat/B_SSSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_id' 'mat/gcd_n_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_le_compat' 'mat/lt_times'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_lt_cancel' 'mat/lt_S_S_to_lt'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_min_distr_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_land_lor_distr_r' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_nonneg' 'mat/lt_O_fact'
0. 'coq/Coq_ZArith_Zorder_Zplus_lt_compat_l' 'mat/lt_plus_r'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_reflexive'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_succ_le' 'mat/times_SSO_pred'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_1_l' 'mat/Qtimes_Qone_q'
0. 'coq/Coq_Structures_OrderedTypeEx_Positive_as_OT_lt_trans' 'mat/trans_lt'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_land' 'mat/demorgan2'
0. 'coq/Coq_NArith_BinNat_N_le_lt_trans' 'mat/le_to_lt_to_lt'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_divide_mono_l' 'mat/le_plus_r'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_max_distr_r' 'mat/times_exp'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_sub_assoc' 'mat/eq_minus_plus_plus_minus'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_1_r' 'mat/times_n_SO'
0. 'coq/Coq_Reals_Ranalysis4_sinh_lt' 'mat/le_S_S'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_lcm_l' 'mat/le_plus_n_r'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_decidable' 'mat/decidable_lt'
0. 'coq/Coq_FSets_FSetPositive_PositiveSet_is_empty_2' 'mat/primeb_true_to_prime'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_pos'#@#variant 'mat/prime_smallest_factor_n'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sub_add_distr' 'mat/eq_minus_minus_minus_plus'
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_nonneg' 'mat/lt_O_nth_prime_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_min_distr' 'mat/distr_times_plus'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_eq_0_r' 'mat/eq_plus_n_m_O_to_eq_m_O'
0. 'coq/Coq_Arith_PeanoNat_Nat_lcm_mul_mono_l' 'mat/distr_times_minus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lxor_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_Reals_ROrderedType_ROrder_not_gt_le' 'mat/not_le_to_lt'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tred_factor0_stable' 'mat/injective_nth_prime'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_max_distr_l' 'mat/distr_times_plus'
0. 'coq/Coq_NArith_BinNat_N_sqrtrem_spec' 'mat/Magma_OF_Monoid'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_nonneg' 'mat/le_SO_fact'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_eq_trans'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_compare_antisym' 'mat/nat_compare_n_m_m_n'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_succ_l' 'mat/Zplus_Zsucc'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_1'#@#variant 'mat/B_SSSSO'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_two_succ'#@#variant 'mat/B_SSSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_land' 'mat/demorgan1'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_nonneg' 'mat/lt_O_S'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigN_BigZ_spec_Z_of_N' 'mat/numerator_nat_fact_to_fraction'
0. 'coq/Coq_NArith_BinNat_N_lt_lt_0' 'mat/ltn_to_ltO'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_le_lin'#@#variant 'mat/lt_sqrt_n'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_log2_nonneg' 'mat/lt_O_nth_prime_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_transitive'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_le_compat_r' 'mat/lt_plus_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_ggcd_correct_divisors' 'mat/R'
0. 'coq/Coq_PArith_BinPos_Pos_of_nat_succ' 'mat/pos_n_eq_S_n'
0. 'coq/Coq_NArith_BinNat_N_mul_sub_distr_l' 'mat/distr_times_plus'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_nonneg'#@#variant 'mat/lt_O_nth_prime_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_max_r' 'mat/le_plus_n'
0. 'coq/Coq_ZArith_Zdiv_Zdiv_0_l' 'mat/mod_O_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_divide_mono_r' 'mat/lt_plus_l'
0. 'coq/Coq_ZArith_Zsqrt_compat_Zsqrt_equiv' 'mat/eq_B_B1'
0. 'coq/Coq_Reals_Rbasic_fun_Rle_min_compat_r' 'mat/lt_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_m1'#@#variant 'mat/B_SSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_strorder'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_involutive' 'mat/notb_notb'
0. 'coq/Coq_Reals_Rtrigo_calc_toRad_inj' 'mat/not_eq_S'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_max_r' 'mat/le_plus_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_le_lin'#@#variant 'mat/lt_sqrt_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_gt_lin_r' 'mat/le_times_n'
0. 'coq/Coq_QArith_QOrderedType_Q_as_DT_eq_equiv'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_1_l'#@#variant 'mat/mod_O_n'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_add_r' 'mat/exp_plus_times'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_sub_eq_l' 'mat/plus_to_minus'
0. 'coq/Coq_Arith_PeanoNat_Nat_land_0_l' 'mat/mod_O_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_succ_diag_r' 'mat/le_n_Sn'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_min_distr' 'mat/Zopp_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_lt_cancel' 'mat/lt_S_S_to_lt'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_even_succ' 'mat/pos_n_eq_S_n'
0. 'coq/Coq_PArith_BinPos_Pos_ggcd_correct_divisors' 'mat/nat_compare_to_Prop'
0. 'coq/Coq_QArith_Qreduction_Qminus_prime_comp' 'mat/lt_times'
0. 'coq/Coq_Reals_Rtrigo_calc_sqrt2_neq_0'#@#variant 'mat/not_eq_true_false'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_nonneg'#@#variant 'mat/lt_O_S'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_pos_r' 'mat/lt_O_gcd'
0. 'coq/Coq_QArith_QArith_base_Qeq_trans' 'mat/trans_le'
0. 'coq/Coq_QArith_Qcanon_Qcmult_assoc' 'mat/andbA'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_0_l' 'mat/mod_O_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_refl' 'mat/divides_n_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_le_mono' 'mat/le_S_S'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_le_mono_nonneg_l' 'mat/lt_times_r1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_nonneg_r' 'mat/lt_times_l1'
0. 'coq/Coq_Arith_Gt_gt_S_n' 'mat/ltS\''
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_2'#@#variant 'mat/eq_OZ_Zopp_OZ'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pos_sub_opp' 'mat/nat_compare_n_m_m_n'
0. 'coq/Coq_ZArith_BinInt_Z_pred_succ' 'mat/Zsucc_Zpred'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_eq_refl'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_log2_log2_up' 'mat/le_B_A'
0. 'coq/Coq_QArith_Qminmax_Q_le_min_l' 'mat/divides_gcd_nm/1'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_ggcd_greatest' 'mat/leb_to_Prop'
0. 'coq/Coq_Arith_Plus_plus_le_compat_r' 'mat/le_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_trans' 'mat/trans_divides'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pred_0' 'mat/A_SSO'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_eq_refl'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_land_lor_distr_r' 'mat/distr_times_minus'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_max_distr' 'mat/Zopp_Zplus'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_0_r' 'mat/Qtimes_q_OQ'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_sub_distr_r' 'mat/times_exp'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_leb_refl' 'mat/ltb_refl'
0. 'coq/Coq_NArith_BinNat_N_log2_up_nonneg' 'mat/lt_O_S'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_ZArith_Zquot_Zquot_0_r' 'mat/times_n_O'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_le_mono_nonneg_l'#@#variant 'mat/lt_exp'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pred_sub'#@#variant 'mat/plus_n_SO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sub_diag' 'mat/bc_n_n'#@#variant
0. 'coq/Coq_ZArith_Zquot_Zrem_le' 'mat/lt_minus_m'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sub_min_distr_r' 'mat/times_exp'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_0' 'mat/A_SSO'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lcm_diag' 'mat/orb_refl'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_divide_r' 'mat/divides_gcd_m'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lcm_0_l' 'mat/mod_O_n'
0. 'coq/Coq_ZArith_BinInt_Z_min_assoc' 'mat/andb_assoc'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_reflexive'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_NArith_BinNat_N_le_pred_l' 'mat/le_pred_n'
0. 'coq/Coq_Arith_Mult_mult_lt_compat_l'#@#variant 'mat/lt_times_r1'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_neg' 'mat/inj_pos'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_spec_is_even' 'mat/primeb_to_Prop'
0. 'coq/Coq_Reals_RIneq_INR_lt' 'mat/Zlt_pos_pos_to_lt'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_lt_mono' 'mat/le_times'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_double_inj' 'mat/inj_S'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_le_compat_r' 'mat/lt_plus_l'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tminus_def_stable' 'mat/injective_nth_prime'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_0' 'mat/A_SSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_lt_cancel' 'mat/le_S_S_to_le'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_sub_r' 'mat/divides_plus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lor_assoc' 'mat/andb_assoc'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_ggcd_greatest' 'mat/Z_compare_to_Prop'
0. 'coq/Coq_PArith_BinPos_Pos_sqrt_spec' 'mat/denom'
0. 'coq/Coq_NArith_BinNat_N_mul_max_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_NArith_BinNat_N_land_0_l' 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_NArith_BinNat_N_square_spec' 'mat/times_SSO_n'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_land_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_sub_l' 'mat/divides_gcd_nm/1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_l' 'mat/le_plus_r'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftr_0_l' 'mat/mod_O_n'
0. 'coq/Coq_ZArith_BinInt_Z_lor_eq_0_l' 'mat/andb_true_true'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_nonneg'#@#variant 'mat/not_nf_elim_not/1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_gt_cases' 'mat/not_lt_to_le'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_diag' 'mat/times_SSO_n'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_lnot_diag'#@#variant 'mat/Zplus_Zopp'
0. 'coq/Coq_NArith_BinNat_N_shiftr_ldiff' 'mat/times_plus_l'
0. 'coq/Coq_ZArith_Zorder_Zmult_lt_0_le_reg_r'#@#variant 'mat/le_exp_to_le1'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lt_ge_cases' 'mat/not_lt_to_le'
0. 'coq/Coq_ZArith_BinInt_Z_shiftl_lor' 'mat/times_minus_l'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_refl' 'mat/divides_n_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_sub_r' 'mat/divides_minus'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_pos_le' 'mat/divides_to_le'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_1'#@#variant 'mat/eq_OZ_Zopp_OZ'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_b2n_inj' 'mat/inj_neg'
0. 'coq/Coq_NArith_BinNat_N_min_0_r' 'mat/Ztimes_z_OZ'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_pos'#@#variant 'mat/lt_SO_n_to_lt_O_pred_n'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_eqb_refl' 'mat/nat_compare_n_n'
0. 'coq/Coq_Reals_RIneq_Rge_not_gt' 'mat/lt_to_not_le'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_rem_1_r'#@#variant 'mat/exp_n_O0'#@#variant
0. 'coq/Coq_Reals_RIneq_INR_le' 'mat/Zlt_pos_pos_to_lt'
0. 'coq/Coq_NArith_BinNat_N_lt_strorder'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_le_mono' 'mat/le_pred'
0. 'coq/Coq_Structures_DecidableTypeEx_Z_as_DT_lt_not_eq' 'mat/eq_to_not_lt'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_leb_refl' 'mat/ltb_refl'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_lt_cancel' 'mat/ltS\''
0. 'coq/Coq_NArith_BinNat_N_log2_up_le_mono' 'mat/le_S_S'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_1_l' 'mat/Ztimes_Zone_l'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_le_mono' 'mat/le_to_le_pred'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_nonneg'#@#variant 'mat/lt_O_fact'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lt_le_incl' 'mat/lt_to_le'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lxor_nilpotent' 'mat/bc_n_n'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_rem_1_r'#@#variant 'mat/mod_SO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_sub_diag' 'mat/minus_n_n'
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_nonneg_l'#@#variant 'mat/lt_times_r1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_sub_assoc' 'mat/eq_minus_plus_plus_minus'
0. 'coq/Coq_Arith_Min_min_0_r' 'mat/times_n_O'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_min_distr' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_one_succ'#@#variant 'mat/B_SSSO'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sqrtrem_spec' 'mat/Magma_OF_Group'
0. 'coq/Coq_ZArith_BinInt_Z_lor_assoc' 'mat/assoc_times'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_pred_l' 'mat/le_pred_n'
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_nonneg' 'mat/lt_O_S'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_reflexive'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zsucc_lt_compat' 'mat/le_pred'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_0' 'mat/A_SSO'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_min_distr_l' 'mat/distr_times_minus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_max_distr' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_max_distr_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Arith_PeanoNat_Nat_lxor_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_lt_cancel' 'mat/ltS\''
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_le_compat' 'mat/le_times'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_max_distr' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_involutive' 'mat/rinv_rinv'
0. 'coq/Coq_ZArith_BinInt_Z_divide_transitive'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftr_ldiff' 'mat/times_exp'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_le_compat_l' 'mat/le_plus_r'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_2_r' 'mat/exp_SSO'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div_lt'#@#variant 'mat/lt_div'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_divide_l' 'mat/divides_gcd_nm/1'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_eqb_complete' 'mat/le_to_leb_true'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_pow2'#@#variant 'mat/S_pred'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_le_mono' 'mat/lt_plus'
0. 'coq/Coq_Arith_PeanoNat_Nat_eq_trans'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_nonneg' 'mat/le_SO_fact'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_min_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_spec_is_even' 'mat/Magma_OF_Monoid'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lor_assoc' 'mat/assoc_times'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_lt_cancel' 'mat/ltS\''
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_antisym' 'mat/le_to_le_to_eq'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_0_succ' 'mat/lt_O_nth_prime_n'
0. 'coq/Coq_Reals_Rpower_ln_exp' 'mat/Zsucc_Zpred'
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_R1' 'mat/A_SSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lxor_nilpotent' 'mat/bc_n_n'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_R0' 'mat/A_SSO'#@#variant
0. 'coq/Coq_Reals_RIneq_Rmult_lt_reg_l'#@#variant 'mat/lt_exp_to_lt'#@#variant
0. 'coq/Coq_Reals_R_Ifp_Int_part_INR' 'mat/numerator_nat_fact_to_fraction'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_min_distr' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Reals_R_sqrt_sqrt_pos'#@#variant 'mat/lt_O_fact'#@#variant
0. 'coq/Coq_Reals_Exp_prop_exp_pos_pos'#@#variant 'mat/lt_O_smallest_factor'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_min_le_compat_r' 'mat/le_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_pred_r' 'mat/eq_minus_S_pred'
0. 'coq/Coq_Arith_PeanoNat_Nat_succ_inj' 'mat/inj_S'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_max_distr_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_eq_sym'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj_neg' 'mat/inj_neg'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lor_eq_0_l' 'mat/andb_true_true'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_le_mono' 'mat/le_to_le_pred'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_le_compat' 'mat/le_times'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_nonneg'#@#variant 'mat/lt_O_fact'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lor_m1_l'#@#variant 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_lt_strorder'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_involutive' 'mat/finv_finv'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_gcd_divide_l' 'mat/le_minus_m'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_eq_trans'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_sub_mask_diag' 'mat/eqb_n_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pos_sub_opp' 'mat/nat_compare_n_m_m_n'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_pred_succ' 'mat/Zpred_Zsucc'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_gt_lin_r'#@#variant 'mat/lt_m_exp_nm'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_trans' 'mat/trans_le'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_le_lin'#@#variant 'mat/divides_smallest_factor_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_min_distr_l' 'mat/distr_times_plus'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_2'#@#variant 'mat/B_SSSO'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_two_succ'#@#variant 'mat/A_SSSO'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pred_succ' 'mat/Zpred_Zsucc'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_le_mono' 'mat/lt_times'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_lt_cancel' 'mat/lt_S_S_to_lt'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sub_le_mono_r' 'mat/le_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_2'#@#variant 'mat/B_SSSO'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lor_0_l' 'mat/gcd_O_n'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_pos'#@#variant 'mat/le_SSO_fact'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_min_assoc' 'mat/andb_assoc'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_sub_distr_l' 'mat/distr_times_plus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_min_distr' 'mat/demorgan2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_add_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lor_0_l' 'mat/rtimes_one_r'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_0' 'mat/A_SO'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_pred_N_succ' 'mat/pos_n_eq_S_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_0_l' 'mat/rtimes_one_r'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_nonneg' 'mat/le_SO_fact'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_eq_refl'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_mul_mono_l' 'mat/distr_times_plus'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_trans' 'mat/trans_divides'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_trans' 'mat/trans_le'
0. 'coq/Coq_Arith_Compare_dec_nat_compare_Lt_lt' 'mat/divides_b_true_to_divides'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_pred_l' 'mat/le_pred_n'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_square_spec' 'mat/times_SSO_n'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_preorder'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_Sorting_Permutation_Permutation_refl' 'mat/incl_A_A'
0. 'coq/Coq_NArith_BinNat_N_log2_up_pos'#@#variant 'mat/lt_SO_n_to_lt_O_pred_n'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lor_land_distr_l' 'mat/times_exp'
0. 'coq/Coq_ZArith_Zorder_Zmult_lt_reg_r'#@#variant 'mat/lt_exp_to_lt1'#@#variant
0. 'coq/Coq_Reals_Rtrigo_calc_deg_rad' 'mat/pred_Sn'
0. 'coq/Coq_Arith_Gt_gt_trans' 'mat/trans_divides'
0. 'coq/Coq_NArith_BinNat_N_min_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_min_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_0' 'mat/A_SSO'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ltb_irrefl' 'mat/eqb_n_n'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_le_compat_r' 'mat/le_times_l'
0. 'coq/Coq_NArith_BinNat_N_land_0_r' 'mat/times_n_O'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_glb' 'mat/divides_minus'
0. 'coq/Coq_Reals_Rminmax_R_minus_min_distr_r' 'mat/times_exp'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div2_double' 'mat/Zsucc_Zpred'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sub_succ' 'mat/minus_S_S'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_le_mono' 'mat/le_S_S'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_nonneg_l'#@#variant 'mat/le_exp'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_min_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_Reals_RIneq_Rge_or_gt' 'mat/not_lt_to_le'
0. 'coq/Coq_PArith_BinPos_Pos_max_le_compat' 'mat/le_plus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_strorder'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_min_l' 'mat/divides_gcd_nm/1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lxor_assoc' 'mat/assoc_times'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_1_l' 'mat/divides_SO_n'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lnot_involutive' 'mat/eq_notb_notb_b_b'
0. 'coq/Coq_PArith_BinPos_Pos_max_le_compat' 'mat/le_times'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_nonneg'#@#variant 'mat/not_nf_elim_not/0'
0. 'coq/Coq_Reals_RIneq_Rplus_lt_reg_r' 'mat/lt_plus_to_lt_l'
0. 'coq/Coq_Arith_PeanoNat_Nat_lcm_0_r' 'mat/times_n_O'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_nonneg' 'mat/lt_O_nth_prime_n'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_eq_1_r' 'mat/andb_true_true_r'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_pred_l' 'mat/le_sqrt_n_n'
0. 'coq/Coq_QArith_QOrderedType_QOrder_not_gt_le' 'mat/not_lt_to_le'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_land_assoc' 'mat/andbA'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_ggcd_greatest' 'mat/Z_compare_to_Prop'
0. 'coq/Coq_PArith_BinPos_Pos_mul_min_distr_r' 'mat/times_exp'
0. 'coq/Coq_NArith_Ndec_Nleb_refl' 'mat/leb_refl'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pos_sub_discr' 'mat/eqZb_to_Prop'
0. 'coq/Coq_Arith_PeanoNat_Nat_eq_trans'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_Bool_Bool_negb_involutive_reverse' 'mat/finv_finv'
0. 'coq/Coq_NArith_BinNat_N_add_assoc' 'mat/andb_assoc'
0. 'coq/Coq_ZArith_BinInt_Z_compare_refl' 'mat/eqb_n_n'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_0_r' 'mat/Ztimes_z_OZ'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_shuffle1' 'mat/ab_times_cd'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_nonneg'#@#variant 'mat/prime_nth_prime'
0. 'coq/Coq_PArith_BinPos_Pos_mul_eq_1_r' 'mat/eq_plus_n_m_O_to_eq_m_O'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_ggcd_correct_divisors' 'mat/nat_compare_to_Prop'
0. 'coq/Coq_Arith_Peano_dec_dec_eq_nat' 'mat/bool_to_decidable_eq'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_log2_log2_up' 'mat/le_times_SSO_n_exp_SSO_n'#@#variant
0. 'coq/Coq_QArith_Qabs_Qabs_wd' 'mat/le_to_le_pred'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_neq' 'mat/lt_to_not_eq'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lcm_assoc' 'mat/andb_assoc'
0. 'coq/Coq_Bool_Bool_andb_negb_r' 'mat/Zplus_Zopp'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_eq_0_r' 'mat/times_O_to_O'
0. 'coq/Coq_ZArith_BinInt_Z_land_assoc' 'mat/assoc_plus'
0. 'coq/Coq_Reals_RIneq_Rmult_lt_reg_r'#@#variant 'mat/le_exp_to_le1'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_succ_min_distr' 'mat/Zopp_Zplus'
0. 'coq/Coq_ZArith_Zbool_Zle_cases' 'mat/Z_compare_to_Prop'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_le_compat' 'mat/le_times'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lcm_1_l'#@#variant 'mat/Ztimes_Zone_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lxor_0_l' 'mat/gcd_O_n'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_ggcd_greatest' 'mat/eqZb_to_Prop'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_trans' 'mat/trans_divides'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftr_lor' 'mat/times_minus_l'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_le_lin' 'mat/le_pred_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_QArith_Qreduction_Qred_correct' 'mat/le_smallest_factor_n'
0. 'coq/Coq_Reals_Raxioms_Rlt_trans' 'mat/trans_divides'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_lt_cancel' 'mat/le_S_S_to_le'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_0_r' 'mat/times_n_O'
0. 'coq/Coq_ZArith_BinInt_Z_min_assoc' 'mat/andbA'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_min_distr_l' 'mat/distr_times_minus'
0. 'coq/Coq_PArith_BinPos_Pos_min_l' 'mat/lt_to_eq_mod'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_min_distr_l' 'mat/distr_times_minus'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_odd' 'mat/numerator_nat_fact_to_fraction'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_lt_cancel' 'mat/lt_S_S_to_lt'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_reflexive'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_le_lin'#@#variant 'mat/lt_sqrt_n'#@#variant
0. 'coq/Coq_fourier_Fourier_util_Rlt_zero_pos_plus1'#@#variant 'mat/lt_SO_smallest_factor'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_eq'#@#variant 'mat/prime_to_smallest_factor'
0. 'coq/Coq_ZArith_BinInt_Z_abs_nonneg'#@#variant 'mat/lt_O_teta'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_pow_le_mono_r'#@#variant 'mat/le_exp'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_Reals_Rtrigo_calc_tan_PI' 'mat/A_SSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_sqrt_sqrt_up' 'mat/le_times_SSO_n_exp_SSO_n'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qle_trans' 'mat/trans_le'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_mul_mono_l' 'mat/distr_times_minus'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_preorder'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono' 'mat/lt_plus'
0. 'coq/Coq_NArith_BinNat_N_sqrt_lt_cancel' 'mat/lt_S_S_to_lt'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_1_l' 'mat/Zsucc_Zplus_pos_O'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lxor_assoc' 'mat/andbA'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_ge_cases' 'mat/not_le_to_lt'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_le_mono' 'mat/lt_plus'
0. 'coq/Coq_ZArith_Zeven_Zeven_quot2'#@#variant 'mat/S_pred'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftl_lor' 'mat/times_plus_l'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_eq_1_r' 'mat/andb_true_true_r'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_spec_prime/0' 'mat/leq_sqrt_n'
0. 'coq/Coq_PArith_BinPos_Pos_sqrt_spec' 'mat/Magma_OF_finite_enumerable_SemiGroup'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sub_0_l' 'mat/mod_O_n'
0. 'coq/Coq_ZArith_BinInt_Z_lcm_assoc' 'mat/assoc_times'
0. 'coq/Coq_NArith_BinNat_N_pow_2_r'#@#variant 'mat/exp_SSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_inj_r' 'mat/inj_exp_r'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lor_land_distr_r' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_NArith_BinNat_N_lt_0_succ'#@#variant 'mat/lt_O_teta'#@#variant
0. 'coq/Coq_NArith_BinNat_N_min_l' 'mat/le_to_mod'
0. 'coq/Coq_ZArith_BinInt_Z_lxor_assoc' 'mat/assoc_plus'
0. 'coq/Coq_NArith_BinNat_N_add_0_l' 'mat/Qtimes_Qone_q'
0. 'coq/Coq_Reals_RIneq_Rnot_lt_le' 'mat/not_le_to_lt'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_add_distr' 'mat/eq_minus_minus_minus_plus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_le_compat' 'mat/le_plus'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_ldiff_ldiff_l' 'mat/exp_exp_times'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_assoc' 'mat/assoc_times'
0. 'coq/Coq_Reals_Rbasic_fun_Rmin_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_land_0_r' 'mat/times_n_O'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_min_distr_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_ZArith_Znumtheory_not_prime_0' 'mat/not_prime_SO'#@#variant
0. 'coq/Coq_NArith_BinNat_N_shiftr_ldiff' 'mat/times_minus_l'
0. 'coq/Coq_Arith_Factorial_fact_le' 'mat/le_S_S'
0. 'coq/Coq_ZArith_BinInt_Z_lnot_involutive' 'mat/Zopp_Zopp'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_1_l'#@#variant 'mat/le_O_n'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_le_compat' 'mat/le_times'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_succ' 'mat/pred_Sn'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_diag' 'mat/minus_n_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrtrem_spec' 'mat/premonoid'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_sub_mask_diag' 'mat/eqb_n_n'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_le_mono' 'mat/lt_times'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_nonneg_r'#@#variant 'mat/lt_times_l1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_eq_decidable' 'mat/decidable_eq_fraction'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_max_distr_l' 'mat/distr_times_plus'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_add_distr' 'mat/Zopp_Zplus'
0. 'coq/Coq_ZArith_BinInt_Z_land_lor_distr_r' 'mat/distr_times_plus'
0. 'coq/Coq_ZArith_Zeven_Zodd_pred' 'mat/lt_SO_n_to_lt_O_pred_n'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lt_add_pos_l' 'mat/le_times_n'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_involutive' 'mat/finv_finv'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_strorder'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_pos'#@#variant 'mat/lt_O_fact'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_1_r'#@#variant 'mat/plus_n_SO'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_le_lin'#@#variant 'mat/lt_sqrt_n'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_succ_diag_r' 'mat/lt_n_nth_prime_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_le_mono_nonneg_l'#@#variant 'mat/le_exp'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_pos_le' 'mat/divides_to_le'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_pred_N_succ' 'mat/pos_n_eq_S_n'
0. 'coq/Coq_Reals_Rminmax_R_min_le_compat_l' 'mat/lt_plus_r'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_assoc' 'mat/assoc_plus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_compare_succ' 'mat/nat_compare_S_S'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ldiff_0_l' 'mat/mod_O_n'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_succ_max_distr' 'mat/Zopp_Zplus'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_max_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_ZArith_BinInt_Z_eq_equiv'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_Arith_Factorial_lt_O_fact'#@#variant 'mat/lt_O_fact'#@#variant
0. 'coq/Coq_Arith_Compare_dec_dec_lt' 'mat/decidable_le'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_reflexive'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_0_l' 'mat/Qtimes_Qone_q'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_square_spec' 'mat/times_SSO_n'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_l' 'mat/le_plus_r'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_sqrt_sqrt_up' 'mat/le_times_SSO_n_exp_SSO_n'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_l' 'mat/le_times_r'
0. 'coq/Coq_ZArith_Zorder_Zmult_lt_compat_r'#@#variant 'mat/lt_times_l1'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_nonneg'#@#variant 'mat/not_nf_elim_not/1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_max_distr' 'mat/demorgan1'
0. 'coq/Coq_QArith_Qreduction_Qred_comp' 'mat/lt_to_lt_S_S'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_lt_cancel' 'mat/lt_S_S_to_lt'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_mul_mono_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_glb' 'mat/divides_minus'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_sub_r' 'mat/divides_plus'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_lt_cancel' 'mat/lt_S_S_to_lt'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_leb_refl' 'mat/eqb_n_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrtrem_spec' 'mat/Magma_OF_finite_enumerable_SemiGroup'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_succ_le' 'mat/times_SSO_pred'#@#variant
0. 'coq/Coq_Arith_Plus_plus_lt_compat_l' 'mat/lt_plus_r'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_preorder'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_NArith_Ndist_ni_min_assoc' 'mat/assoc_plus'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_nonneg' 'mat/lt_O_exp'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_add_diag_r' 'mat/le_plus_n_r'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_land_0_l' 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_succ_r' 'mat/eq_minus_S_pred'
0. 'coq/Coq_Classes_CRelationClasses_impl_Reflexive_obligation_1' 'mat/iff_refl'
0. 'coq/Coq_Reals_Rminmax_R_plus_max_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_ZArith_BinInt_Z_log2_le_mono' 'mat/le_to_le_pred'
0. 'coq/Coq_Arith_PeanoNat_Nat_pred_le_mono' 'mat/le_to_le_pred'
0. 'coq/Coq_ZArith_BinInt_Z_le_min_r' 'mat/divides_gcd_nm/0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_pred_l' 'mat/le_smallest_factor_n'
0. 'coq/Coq_NArith_Ndist_natinf_ind' 'mat/ratio_ind'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_transitive'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_1_r'#@#variant 'mat/Qtimes_q_OQ'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_0_succ'#@#variant 'mat/prime_nth_prime'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sub_add_distr' 'mat/exp_exp_times'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_le_compat' 'mat/lt_plus'
0. 'coq/Coq_PArith_BinPos_Pos_max_le_compat_l' 'mat/le_plus_r'
0. 'coq/Coq_Arith_PeanoNat_Nat_min_max_distr' 'mat/distr_times_minus'
0. 'coq/Coq_Arith_Compare_dec_dec_le' 'mat/decidable_le'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_succ_diag_r' 'mat/le_n_Sn'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_le_mono' 'mat/le_times'
0. 'coq/Coq_ZArith_Znat_Nat2Z_id' 'mat/defactorize_factorize'
0. 'coq/Coq_NArith_BinNat_N_le_add_le_sub_r' 'mat/le_minus_to_plus'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_max_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_PArith_BinPos_Pos_peano_ind' 'mat/nat_ind'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_add_distr_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_ZArith_Zpow_facts_Zpower_divide' 'mat/O_lt_const_to_le_times_const'
0. 'coq/Coq_NArith_BinNat_N_le_trans' 'mat/trans_lt'
0. 'coq/Coq_Reals_Rtrigo1_COS_bound/0' 'mat/lt_SO_nth_prime_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_0_l' 'mat/rtimes_one_r'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_1_l' 'mat/mod_O_n'
0. 'coq/Coq_ZArith_BinInt_Z_divide_transitive'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lt_trans' 'mat/trans_lt'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_1_l'#@#variant 'mat/Qtimes_Qone_q'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_irrefl' 'mat/Not_lt_n_n'
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_nonneg'#@#variant 'mat/lt_O_nth_prime_n'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_divide_mono_l' 'mat/le_plus_r'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_le_mono' 'mat/lt_times'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_eq_sym'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_IsTO_lt_strorder'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_eq_sym'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_NArith_BinNat_N_succ_pred_pos'#@#variant 'mat/S_pred'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_max_le_compat_r' 'mat/le_plus_l'
0. 'coq/Coq_ZArith_BinInt_Z_succ_m1'#@#variant 'mat/A_SSSO'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sub_min_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_PArith_BinPos_Pos_ltb_irrefl' 'mat/leb_refl'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_glb' 'mat/divides_plus'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_log2_up_succ_log2' 'mat/le_teta'#@#variant
0. 'coq/Coq_Arith_Min_le_min_l' 'mat/divides_gcd_nm/1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_divide_mono_r' 'mat/le_plus_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_0_l' 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_assoc' 'mat/assoc_plus'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_involutive' 'mat/opposite_direction_idempotent'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_assoc' 'mat/assoc_plus'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lor_assoc' 'mat/andbA'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_succ_l' 'mat/Zplus_Zsucc'
0. 'coq/Coq_ZArith_BinInt_Z_opp_involutive' 'mat/rinv_rinv'
0. 'coq/Coq_QArith_Qreduction_Qmult_prime_comp' 'mat/le_plus'
0. 'coq/Coq_ZArith_BinInt_Z_shiftl_ldiff' 'mat/times_exp'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_sub_lt' 'mat/eq_minus_n_m_O'
0. 'coq/Coq_Arith_PeanoNat_Nat_min_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_eq_sym'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_NArith_BinNat_N_ggcd_correct_divisors' 'mat/eqfb_to_Prop'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_max_distr_l' 'mat/distr_times_plus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_factor_l' 'mat/le_plus_n_r'
0. 'coq/Coq_Reals_RIneq_Ropp_involutive' 'mat/rinv_rinv'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_pow' 'mat/Zplus_Zsucc'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_l' 'mat/le_to_mod'
0. 'coq/Coq_PArith_BinPos_Pos_lt_add_diag_r' 'mat/le_plus_n_r'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrtrem_spec' 'mat/segment_finType'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_lxor_r' 'mat/plus_n_Sm'
0. 'coq/Coq_Reals_RIneq_Ropp_0_le_ge_contravar'#@#variant 'mat/le_SSO_fact'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_pos_l' 'mat/lt_O_exp'
0. 'coq/Coq_Bool_Bool_andb_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_nlt_succ_diag_l' 'mat/not_le_Sn_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_0' 'mat/eq_OZ_Zopp_OZ'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_0_succ'#@#variant 'mat/lt_O_teta'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Topp_opp_stable' 'mat/injective_nth_prime'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_r' 'mat/le_plus_l'
0. 'coq/Coq_NArith_BinNat_N_add_assoc' 'mat/andbA'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_eqb_refl' 'mat/leb_refl'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_0'#@#variant 'mat/B_SSSO'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_r' 'mat/le_times_l'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_land_m1_l'#@#variant 'mat/rtimes_one_r'
0. 'coq/Coq_ZArith_BinInt_Zmult_minus_distr_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_ldiff_0_l' 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_0_succ'#@#variant 'mat/lt_O_S'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_nonneg'#@#variant 'mat/lt_O_nth_prime_n'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_Measure_instance_0' 'mat/injective_neg'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_pred_l' 'mat/le_smallest_factor_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lcm_0_r' 'mat/times_n_O'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_div2_double'#@#variant 'mat/pred_Sn'
0. 'coq/Coq_PArith_BinPos_Pos_eq_refl'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_le_lin' 'mat/le_pred_n'
0. 'coq/Coq_NArith_BinNat_N_add_lt_mono' 'mat/divides_times'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_gcd_divide_l' 'mat/divides_gcd_nm/1'
0. 'coq/Coq_Arith_Plus_plus_le_lt_compat' 'mat/le_to_lt_to_plus_lt'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_one_succ'#@#variant 'mat/B_SSSSO'#@#variant
0. 'coq/Coq_NArith_BinNat_N_ldiff_0_l' 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_assoc' 'mat/andb_assoc'
0. 'coq/Coq_Structures_OrdersEx_PositiveOrderedTypeBits_lt_strorder'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_0_l' 'mat/gcd_O_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_succ_diag_r' 'mat/le_n_fact_n'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_sub_le' 'mat/eq_minus_n_m_O'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_succ_not_1' 'mat/not_eq_O_S'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pos_sub_discr' 'mat/nat_compare_to_Prop'
0. 'coq/Coq_NArith_BinNat_N_land_lor_distr_l' 'mat/times_minus_l'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_sqrt_spec' 'mat/magma0'
0. 'coq/Coq_PArith_BinPos_Pos_sqrt_spec' 'mat/premonoid'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_1'#@#variant 'mat/B_SSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_eq_decidable' 'mat/decidable_eq_fraction'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tred_factor0_stable' 'mat/increasing_nth_prime'
0. 'coq/Coq_ZArith_BinInt_Z_max_assoc' 'mat/assoc_plus'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_succ_inj' 'mat/not_eq_S'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_le_mono' 'mat/lt_times'
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_mult' 'mat/Zopp_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_add_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_nonneg' 'mat/lt_O_exp'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_sub_add' 'mat/plus_minus_m_m'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_max_distr_r' 'mat/times_exp'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_l' 'mat/le_times_r'
0. 'coq/Coq_Classes_RelationClasses_impl_Transitive' 'mat/impl_refl'
0. 'coq/Coq_QArith_Qminmax_Q_le_min_r' 'mat/divides_gcd_nm/0'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_min_distr' 'mat/distr_times_plus'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_nonneg_r'#@#variant 'mat/lt_exp1'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_inj_r'#@#variant 'mat/inj_times_r1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_1_l' 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_0_l' 'mat/Ztimes_Zone_l'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_lt_cancel' 'mat/ltS\''
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_pos'#@#variant 'mat/lt_SO_n_to_lt_O_pred_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_land_0_l' 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_land_0_l' 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_QArith_Qround_Qceiling_resp_le' 'mat/lt_to_Zlt_pos_pos'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_1_r'#@#variant 'mat/Ztimes_z_OZ'
0. 'coq/Coq_Reals_RIneq_Rle_0_sqr'#@#variant 'mat/not_nf_elim_not/0'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_ge_cases' 'mat/not_lt_to_le'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_eq_decidable' 'mat/decidable_eq_Z'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_eq_0_r' 'mat/times_O_to_O'
0. 'coq/Coq_ZArith_BinInt_Z_sub_pred_r' 'mat/eq_minus_S_pred'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_assoc' 'mat/assoc_plus'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_succ_diag_r' 'mat/le_n_fact_n'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_le_mono' 'mat/le_plus'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_min_r' 'mat/divides_gcd_nm/0'
0. 'coq/Coq_Arith_EqNat_beq_nat_refl' 'mat/eqb_n_n'
0. 'coq/Coq_PArith_BinPos_Pos_add_min_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_min_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_Bool_Bool_xorb_false_l' 'mat/Ztimes_Zone_l'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftl_0_l' 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_abs_nonneg'#@#variant 'mat/not_nf_elim_not/1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lcm_0_r' 'mat/Qtimes_q_OQ'
0. 'coq/Coq_ZArith_BinInt_Z_min_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_ZArith_Zorder_Zgt_trans' 'mat/trans_divides'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lor_0_l' 'mat/gcd_O_n'
0. 'coq/Coq_QArith_Qminmax_Q_min_le_compat' 'mat/divides_times'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_log2_log2_up' 'mat/le_B_A'
0. 'coq/Coq_Reals_Rtrigo1_COS_bound/0'#@#variant 'mat/le_SO_fact'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ggcd_correct_divisors' 'mat/eqZb_to_Prop'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div_le_lower_bound'#@#variant 'mat/le_times_to_le_div'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_gcd_divide_l' 'mat/divides_gcd_n'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_add_le_sub_r' 'mat/le_plus_to_minus_r'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_ldiff_diag' 'mat/minus_n_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_inj_r'#@#variant 'mat/inj_exp_r'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ltb_irrefl' 'mat/leb_refl'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_eq_refl'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_max_id' 'mat/gcd_n_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_min_r' 'mat/divides_gcd_nm/0'
0. 'coq/Coq_Reals_Rpower_Rpower_Ropp' 'mat/eq_minus_S_pred'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_1'#@#variant 'mat/A_SSO'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_nonneg_r' 'mat/lt_times_l1'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_le_mono' 'mat/le_times'
0. 'coq/Coq_ZArith_BinInt_Z_pos_sub_discr' 'mat/eqb_to_Prop'
0. 'coq/Coq_Reals_Ratan_atan_increasing' 'mat/le_to_le_pred'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_diag'#@#variant 'mat/times_SSO_n'#@#variant
0. 'coq/Coq_ZArith_Zbool_Zle_bool_imp_le' 'mat/leb_true_to_le'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lor_land_distr_r' 'mat/distr_times_minus'
0. 'coq/Coq_NArith_BinNat_N_lt_sub_lt_add_l' 'mat/lt_minus_to_lt_plus'
0. 'coq/Coq_ZArith_Zorder_Zplus_lt_compat_r' 'mat/le_times_l'
0. 'coq/Coq_ZArith_BinInt_Z_mul_add_distr_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_NArith_BinNat_N_eq_sym'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_eq_refl'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_glb' 'mat/divides_minus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_le_mono' 'mat/lt_times'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_lt_cancel' 'mat/le_S_S_to_le'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lor_land_distr_l' 'mat/times_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_0_r' 'mat/plus_n_SO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_land_lor_distr_l' 'mat/times_minus_l'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_eq_sym'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_Reals_RIneq_Rplus_ge_compat' 'mat/lt_times'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_max_distr_l' 'mat/distr_times_minus'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_add_r' 'mat/exp_plus_times'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_double_add' 'mat/Zopp_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_le_mono' 'mat/divides_times'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_assoc' 'mat/andb_assoc'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_le_mono' 'mat/le_pred'
0. 'coq/Coq_ZArith_BinInt_Z_shiftl_land' 'mat/times_plus_l'
0. 'coq/Coq_Arith_PeanoNat_Nat_leb_refl' 'mat/leb_refl'
0. 'coq/Coq_NArith_BinNat_N_sub_max_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_mul_mono_l' 'mat/distr_times_minus'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_min_distr_r' 'mat/times_exp'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_eq_trans'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_le_compat' 'mat/lt_times'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_succ_diag_r' 'mat/le_n_Sn'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_decidable' 'mat/decidable_le'
0. 'coq/Coq_Reals_RIneq_Ropp_0' 'mat/eq_OZ_Zopp_OZ'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_1_r'#@#variant 'mat/plus_n_SO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_involutive' 'mat/eq_notb_notb_b_b'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_eq_trans'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pow_lt_mono_r'#@#variant 'mat/le_log'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_pos_le'#@#variant 'mat/divides_to_le'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_1_l'#@#variant 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_Reals_Ratan_atan_0' 'mat/A_SO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_transitive'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lor_eq_0_l' 'mat/andb_true_true'
0. 'coq/Coq_Arith_Compare_dec_dec_gt' 'mat/decidable_le'
0. 'coq/Coq_NArith_BinNat_N_divide_sub_r' 'mat/divides_plus'
0. 'coq/Coq_Reals_Rminmax_R_min_le_compat' 'mat/lt_plus'
0. 'coq/__constr_Coq_Arith_Even_even_1_1' 'mat/prime_smallest_factor_n'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_1_l' 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_le_lin'#@#variant 'mat/divides_smallest_factor_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_gt_lin_r' 'mat/le_times_n'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_neq' 'mat/eq_to_not_lt'
0. 'coq/Coq_ZArith_Zorder_Zmult_lt_reg_r' 'mat/lt_exp_to_lt1'
0. 'coq/Coq_Arith_PeanoNat_Nat_min_assoc' 'mat/assoc_plus'
0. 'coq/Coq_NArith_BinNat_N_lt_lt_0'#@#variant 'mat/ltn_to_ltO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lcm_assoc' 'mat/andbA'
0. 'coq/Coq_Arith_PeanoNat_Nat_min_le_compat_r' 'mat/le_times_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_1_r'#@#variant 'mat/Ztimes_z_OZ'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_antisymm' 'mat/antisym_le'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_nonneg'#@#variant 'mat/not_nf_elim_not/0'
0. 'coq/Coq_Arith_Factorial_fact_le' 'mat/le_to_le_pred'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_trans' 'mat/trans_lt'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_nonneg'#@#variant 'mat/lt_O_S'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_0_r' 'mat/Ztimes_z_OZ'
0. 'coq/Coq_ZArith_BinInt_Z_ggcd_correct_divisors' 'mat/Z_compare_to_Prop'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_1_l'#@#variant 'mat/mod_O_n'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_0_l' 'mat/le_O_n'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ldiff_diag' 'mat/bc_n_n'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mod_1_r'#@#variant 'mat/exp_n_O0'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_gcd_divide_l' 'mat/divides_gcd_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_le_compat_l' 'mat/le_times_r'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_lt_cancel' 'mat/ltS\''
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_factor_l' 'mat/le_plus_n_r'
0. 'coq/Coq_QArith_QOrderedType_QOrder_eq_refl' 'mat/divides_n_n'
0. 'coq/Coq_Reals_Rpower_ln_1' 'mat/B_SSSSO'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_pos_l' 'mat/lt_O_exp'
0. 'coq/Coq_Arith_Compare_dec_dec_ge' 'mat/decidable_le'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_le_mono' 'mat/lt_to_lt_S_S'
0. 'coq/Coq_Init_Datatypes_CompOpp_involutive' 'mat/finv_finv'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_add_distr_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_max_r' 'mat/le_plus_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_lt_cancel' 'mat/lt_S_S_to_lt'
0. 'coq/Coq_ZArith_BinInt_Z_gcd_div_factor'#@#variant 'mat/eq_div_plus'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_nonneg'#@#variant 'mat/lt_SO_nth_prime_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_compare_refl' 'mat/nat_compare_n_n'
0. 'coq/Coq_Arith_PeanoNat_Nat_mod_1_l'#@#variant 'mat/exp_n_O'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_neq_succ_diag_r' 'mat/not_eq_n_Sn'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_quot_factor'#@#variant 'mat/eq_div_plus'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_involutive' 'mat/Zopp_Zopp'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_le_mono' 'mat/le_pred'
0. 'coq/Coq_Reals_RIneq_Rlt_not_eq' 'mat/eq_to_not_lt'
0. 'coq/Coq_ZArith_Zlogarithm_ZERO_le_N_digits'#@#variant 'mat/lt_O_nth_prime_n'#@#variant
0. 'coq/Coq_Reals_Raxioms_Rmult_plus_distr_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_assoc' 'mat/assoc_plus'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_eq_trans'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_NArith_BinNat_N_shiftl_lxor' 'mat/times_minus_l'
0. 'coq/Coq_QArith_Qcanon_Qcmult_plus_distr_l' 'mat/times_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_neq_succ_diag_l' 'mat/not_eq_n_Sn'
0. 'coq/Coq_Reals_Rtrigo1_SIN_bound/0' 'mat/le_SO_fact'
0. 'coq/Coq_ZArith_Znat_Zabs_nat_N' 'mat/numerator_nat_fact_to_fraction'
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_le_lin'#@#variant 'mat/divides_smallest_factor_n'#@#variant
0. 'coq/Coq_Reals_RIneq_Rle_0_sqr'#@#variant 'mat/prime_nth_prime'
0. 'coq/Coq_Arith_Plus_plus_le_compat' 'mat/divides_times'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_le_mono' 'mat/le_plus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_0_succ'#@#variant 'mat/lt_O_nth_prime_n'#@#variant
0. 'coq/Coq_NArith_BinNat_N_divide_sub_r' 'mat/divides_minus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_div_lt' 'mat/lt_div'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_0' 'mat/eq_OZ_Zopp_OZ'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_assoc' 'mat/assoc_plus'
0. 'coq/Coq_ZArith_BinInt_Z_mul_le_mono_nonneg_r' 'mat/lt_exp1'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_compare_antisym' 'mat/nat_compare_n_m_m_n'
0. 'coq/Coq_Reals_RIneq_Rplus_eq_reg_l' 'mat/inj_plus_r'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_pos'#@#variant 'mat/prime_smallest_factor_n'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_COS_bound/0'#@#variant 'mat/lt_O_fact'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_1_l'#@#variant 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lor_land_distr_r' 'mat/distr_times_minus'
0. 'coq/Coq_PArith_BinPos_Pos_add_sub' 'mat/minus_plus_m_m'
0. 'coq/Coq_ZArith_BinInt_Z_eq_sym'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono' 'mat/lt_plus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_lt_lin'#@#variant 'mat/divides_smallest_factor_n'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_eq_trans'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div_small' 'mat/eq_minus_n_m_O'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_le_mono' 'mat/lt_to_lt_S_S'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_1_l'#@#variant 'mat/rtimes_one_r'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_assoc' 'mat/andbA'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_1_r'#@#variant 'mat/le_n_O_to_eq'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_2'#@#variant 'mat/B_SSSSO'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_le_min_l' 'mat/le_minus_m'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_nonneg'#@#variant 'mat/lt_O_fact'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lxor_nilpotent' 'mat/bc_n_n'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_1_l' 'mat/Zpred_Zplus_neg_O'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_sub_r' 'mat/divides_minus'
0. 'coq/Coq_ZArith_BinInt_Z_add_lt_mono' 'mat/lt_plus'
0. 'coq/Coq_Reals_Rtrigo1_cos_PI2'#@#variant 'mat/B_SSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_lt_cancel' 'mat/le_S_S_to_le'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_transitive'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_0_l' 'mat/Qtimes_Qone_q'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_1'#@#variant 'mat/B_SSSO'#@#variant
0. 'coq/Coq_Reals_Rtrigo_def_sin_0' 'mat/A_SSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div_eucl_spec' 'mat/leb_to_Prop'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_square_spec' 'mat/times_SSO_n'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_nonneg' 'mat/lt_O_S'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_transitive'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rmax_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_eq_trans'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_max_distr_l' 'mat/distr_times_minus'
0. 'coq/Coq_Reals_RIneq_Ropp_involutive' 'mat/notb_notb'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_max_distr_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_ZArith_BinInt_Z_compare_refl' 'mat/nat_compare_n_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_leb_refl' 'mat/leb_refl'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_le_mono' 'mat/divides_times'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_divide_refl' 'mat/divides_n_n'
0. 'coq/Coq_Reals_Rsqrt_def_Rsqrt_positivity'#@#variant 'mat/sieve_sorted'#@#variant
0. 'coq/Coq_Reals_Rpower_arcsinh_lt' 'mat/le_pred'
0. 'coq/Coq_ZArith_BinInt_Z_sub_succ_r' 'mat/eq_minus_S_pred'
0. 'coq/Coq_Reals_RIneq_pos_INR'#@#variant 'mat/sieve_sorted'#@#variant
0. 'coq/Coq_QArith_Qminmax_Q_min_le_compat_r' 'mat/le_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_glb' 'mat/divides_plus'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_nonneg'#@#variant 'mat/not_nf_elim_not/0'
0. 'coq/Coq_NArith_BinNat_N_b2n_inj' 'mat/inj_neg'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_opp_r' 'mat/plus_n_Sm'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_sub_lt_add_r' 'mat/le_plus_to_minus_r'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_max_distr' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_le_compat_r' 'mat/le_plus_l'
0. 'coq/Coq_ZArith_Zdiv_Zdiv_Zdiv' 'mat/eq_div_div_div_times'
0. 'coq/Coq_Arith_PeanoNat_Nat_lcm_mul_mono_r' 'mat/times_plus_l'
0. 'coq/Coq_NArith_BinNat_N_mul_min_distr_l' 'mat/distr_times_minus'
0. 'coq/Coq_Reals_Ranalysis4_sinh_lt' 'mat/le_to_le_pred'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_lt_lin'#@#variant 'mat/lt_sqrt_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_transitive'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_max_distr_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_NArith_BinNat_N_divide_pos_le'#@#variant 'mat/divides_to_le'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zsucc_lt_reg' 'mat/ltS\''
0. 'coq/Coq_QArith_Qabs_Qabs_nonneg'#@#variant 'mat/not_nf_elim_not/0'
0. 'coq/Coq_NArith_BinNat_N_sqrt_lt_lin'#@#variant 'mat/lt_sqrt_n'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_le_preorder'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_lt_lin'#@#variant 'mat/lt_sqrt_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_strorder'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_NArith_BinNat_N_min_glb_lt' 'mat/divides_minus'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_eq_refl'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_le_mono' 'mat/le_S_S'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_ltb_irrefl' 'mat/leb_refl'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_nonneg' 'mat/lt_O_S'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_nonneg'#@#variant 'mat/lt_O_nth_prime_n'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_pred_l' 'mat/Zplus_Zsucc'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_1_r' 'mat/exp_n_SO'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pos_div_eucl_spec' 'mat/frac'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_lt_mono' 'mat/le_plus'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_div2'#@#variant 'mat/divides_smallest_factor_n'#@#variant
0. 'coq/Coq_Reals_Rpower_arcsinh_le' 'mat/le_pred'
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_trans' 'mat/trans_divides'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_1'#@#variant 'mat/B_SSSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_antisymm' 'mat/antisym_le'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_divide_trans' 'mat/trans_lt'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_min_l' 'mat/divides_gcd_nm/1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pred_0' 'mat/A_SSO'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_1_l' 'mat/le_O_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_max_distr_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Arith_PeanoNat_Nat_div2_double'#@#variant 'mat/Zsucc_Zpred'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lcm_mul_mono_r' 'mat/times_exp'
0. 'coq/Coq_Reals_Rbasic_fun_Rle_max_compat_l' 'mat/le_times_r'
0. 'coq/Coq_PArith_BinPos_Pos_mul_reg_r' 'mat/inj_plus_l'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_pred_l' 'mat/le_sqrt_n_n'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_lt_lin'#@#variant 'mat/lt_sqrt_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_inj' 'mat/not_eq_S'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_log2_log2_up' 'mat/le_times_SSO_n_exp_SSO_n'#@#variant
0. 'coq/Coq_Reals_RIneq_Rmult_lt_compat_r'#@#variant 'mat/lt_times_l1'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_max_min_distr' 'mat/distr_times_plus'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_ggcd_correct_divisors' 'mat/eqb_to_Prop'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_le_mono' 'mat/lt_to_lt_S_S'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_carry_reg_l' 'mat/inj_plus_r'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_0_l' 'mat/Ztimes_Zone_l'
0. 'coq/Coq_Reals_Ranalysis1_continuity_const' 'mat/increasing_to_monotonic'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sub_0_l' 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_min_le_compat' 'mat/lt_times'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_lt_cancel' 'mat/lt_S_S_to_lt'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_compare_refl' 'mat/nat_compare_n_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_nonneg_l' 'mat/lt_times_r1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_preorder'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_ZArith_BinInt_Zplus_assoc_reverse' 'mat/assoc_Zplus'
0. 'coq/Coq_Numbers_Cyclic_ZModulo_ZModulo_Ptail_pos'#@#variant 'mat/sieve_sorted'#@#variant
0. 'coq/Coq_ZArith_Zquot_Zquot_opp_l' 'mat/Zplus_Zsucc'
0. 'coq/Coq_Reals_Rminmax_R_opp_min_distr' 'mat/demorgan2'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_0_l' 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tred_factor1_stable' 'mat/injective_nth_prime'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_ltb_irrefl' 'mat/leb_refl'
0. 'coq/Coq_ZArith_BinInt_Z_lt_trans' 'mat/trans_divides'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_lt_cancel' 'mat/ltS\''
0. 'coq/Coq_ZArith_Zorder_Zmult_lt_compat_l' 'mat/lt_times_r1'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_lt_succ_r' 'mat/ltW'
0. 'coq/Coq_ZArith_BinInt_Z_add_opp_diag_r' 'mat/Zplus_Zopp'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftl_0_l' 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_lt_cancel' 'mat/lt_S_S_to_lt'
0. 'coq/Coq_MSets_MSetPositive_PositiveSet_E_lt_strorder'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_ZArith_Zsqrt_compat_Zsqrt_plain_is_pos'#@#variant 'mat/lt_O_smallest_factor'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_abs_eq'#@#variant 'mat/prime_to_smallest_factor'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_ltb_irrefl' 'mat/leb_refl'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_assoc' 'mat/assoc_times'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_nonneg_r'#@#variant 'mat/lt_exp1'#@#variant
0. 'coq/Coq_Reals_Rpower_arcsinh_sinh' 'mat/pred_Sn'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_1_l'#@#variant 'mat/divides_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_diag' 'mat/times_SSO_n'#@#variant
0. 'coq/Coq_ZArith_Zdiv_Z_mod_same_full' 'mat/minus_n_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_sub_distr_l' 'mat/distr_times_minus'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_mul_mono_l' 'mat/distr_times_plus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_le_compat_r' 'mat/le_times_l'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_compare_refl' 'mat/ltb_refl'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_trans' 'mat/trans_le'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_double_twice'#@#variant 'mat/eq_B_B1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lor_0_l' 'mat/Ztimes_Zone_l'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_shuffle1' 'mat/ab_times_cd'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_sub' 'mat/minus_plus_m_m'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_assoc' 'mat/assoc_times'
0. 'coq/Coq_ZArith_Zdiv_Zmult_mod_distr_l' 'mat/distr_times_plus'
0. 'coq/Coq_ZArith_Zorder_Zgt_succ' 'mat/le_prim_n'
0. 'coq/Coq_Arith_Peano_dec_dec_eq_nat' 'mat/decidable_eq_nat'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_lt_lin'#@#variant 'mat/divides_smallest_factor_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pred_succ' 'mat/Zsucc_Zpred'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_leb_refl' 'mat/nat_compare_n_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_le_compat_r' 'mat/lt_plus_l'
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_transitive'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_eq_trans'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_le_lin'#@#variant 'mat/lt_sqrt_n'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_pos'#@#variant 'mat/lt_SO_n_to_lt_O_pred_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sub_add_distr' 'mat/eq_minus_minus_minus_plus'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_le_compat' 'mat/le_plus'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_glb' 'mat/divides_plus'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_le_mono' 'mat/lt_plus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_compare_refl' 'mat/leb_refl'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sub_max_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_eq_refl'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_nonneg' 'mat/le_SO_fact'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_min_0_r' 'mat/Ztimes_z_OZ'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_pred_l' 'mat/le_sqrt_n_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_square_spec' 'mat/times_SSO_n'#@#variant
0. 'coq/Coq_Arith_Lt_lt_n_S' 'mat/le_S_S'
0. 'coq/Coq_Reals_ArithProp_lt_minus_O_lt'#@#variant 'mat/lt_to_lt_O_minus'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lcm_0_l' 'mat/mod_O_n'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_decidable' 'mat/decidable_le'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_nonneg'#@#variant 'mat/not_nf_elim_not/1'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_sub_lt_add_l' 'mat/lt_minus_to_lt_plus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_1'#@#variant 'mat/A_SSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lor_0_l' 'mat/Ztimes_Zone_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sub_succ' 'mat/minus_S_S'
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_0' 'mat/A_SO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_r' 'mat/lt_plus_l'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_sub_add' 'mat/divides_to_div'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_max_r' 'mat/le_plus_n'
0. 'coq/Coq_Reals_RIneq_Rge_antisym' 'mat/le_to_le_to_eq'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_le_mono' 'mat/lt_times'
0. 'coq/Coq_ZArith_BinInt_Z_log2_1'#@#variant 'mat/A_SSSO'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qcinv_mult_distr' 'mat/Qinv_Qtimes\''
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ldiff_0_l' 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_max_min_distr' 'mat/distr_times_plus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_1_l'#@#variant 'mat/mod_O_n'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_le_lin' 'mat/le_prim_n'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_le_incl' 'mat/lt_to_le'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_0_l' 'mat/rtimes_one_r'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_divide_mono_r' 'mat/le_plus_l'
0. 'coq/Coq_QArith_QArith_base_Qlt_trans' 'mat/trans_divides'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_add_pos_l'#@#variant 'mat/lt_m_exp_nm'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_0_l' 'mat/gcd_O_n'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_sub_succ_r' 'mat/eq_minus_S_pred'
0. 'coq/Coq_PArith_BinPos_Pos_sub_mask_diag' 'mat/leb_refl'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Topp_mult_r_stable' 'mat/monotonic_A'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_2'#@#variant 'mat/A_SSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_0' 'mat/eq_OZ_Zopp_OZ'
0. 'coq/Coq_Init_Datatypes_idProp' 'mat/daemon'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_succ_diag_r' 'mat/le_n_Sn'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_0_l'#@#variant 'mat/exp_n_O'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_pred_l' 'mat/Zplus_Zpred'
0. 'coq/Coq_ZArith_Zeven_Zeven_2p'#@#variant 'mat/lt_O_teta'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_preorder'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_pred_N_succ' 'mat/pos_n_eq_S_n'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_compare_eq' 'mat/divides_b_true_to_divides'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_antisymm' 'mat/le_to_le_to_eq'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_m1'#@#variant 'mat/A_SSSO'#@#variant
0. 'coq/Coq_NArith_BinNat_N_eqb_refl' 'mat/nat_compare_n_n'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_gcd_greatest' 'mat/divides_plus'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lxor_0_l' 'mat/gcd_O_n'
0. 'coq/Coq_ZArith_BinInt_Z_two_succ'#@#variant 'mat/B_SSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_add_distr_l' 'mat/distr_times_plus'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_add_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_square_spec' 'mat/times_SSO_n'#@#variant
0. 'coq/Coq_Reals_Raxioms_Rmult_assoc' 'mat/assoc_plus'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZeqb_correct' 'mat/leb_true_to_le'
0. 'coq/Coq_ZArith_Znat_Nat2Z_id' 'mat/numeratorQ_nat_fact_all_to_Q'
0. 'coq/Coq_NArith_BinNat_N_sqrt_le_mono' 'mat/le_S_S'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_assoc' 'mat/assoc_plus'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_odd' 'mat/numerator_nat_fact_to_fraction'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lxor_assoc' 'mat/assoc_times'
0. 'coq/Coq_Arith_Div2_div2_double'#@#variant 'mat/pred_Sn'
0. 'coq/Coq_ZArith_BinInt_Z_shiftr_ldiff' 'mat/times_plus_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_le_compat' 'mat/lt_plus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_compare_refl' 'mat/ltb_refl'
0. 'coq/Coq_ZArith_Zquot_Zquot_opp_opp' 'mat/minus_S_S'
0. 'coq/Coq_ZArith_BinInt_Z_le_preorder'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_Arith_Factorial_fact_neq_0' 'mat/not_eq_O_S'
0. 'coq/Coq_Arith_PeanoNat_Nat_eq_refl'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_eq_1_l' 'mat/andb_true_true'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lxor_assoc' 'mat/assoc_plus'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_of_N' 'mat/numerator_nat_fact_to_fraction'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_nonneg'#@#variant 'mat/not_nf_elim_not/0'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftl_0_l' 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_min_distr_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tplus_comm_stable' 'mat/increasing_nth_prime'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_eq_decidable' 'mat/decidable_eq_fraction'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_1_l'#@#variant 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_sub_distr_l' 'mat/distr_times_plus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_lt_mono' 'mat/lt_plus'
0. 'coq/Coq_ZArith_BinInt_Z_add_pred_r' 'mat/plus_n_Sm'
0. 'coq/Coq_Arith_PeanoNat_Nat_max_0_l' 'mat/rtimes_one_r'
0. 'coq/Coq_Reals_Rminmax_R_min_le_compat_r' 'mat/le_times_l'
0. 'coq/Coq_Reals_R_Ifp_fp_R0' 'mat/A_SO'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_min_distr_l' 'mat/exp_plus_times'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_1_l'#@#variant 'mat/le_O_n'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_assoc' 'mat/assoc_times'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_sub_succ_r' 'mat/eq_minus_S_pred'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_trans' 'mat/trans_lt'
0. 'coq/Coq_Arith_PeanoNat_Nat_pred_0' 'mat/A_SO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_preorder'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_0' 'mat/A_SSO'#@#variant
0. 'coq/Coq_NArith_BinNat_N_le_sub_l' 'mat/le_minus_m'
0. 'coq/Coq_NArith_BinNat_N_lt_neq' 'mat/eq_to_not_lt'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_lt_mono_r'#@#variant 'mat/le_log'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_ldiff_0_l' 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_eq_refl'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_glb' 'mat/divides_plus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_land_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_neq_succ_diag_r' 'mat/not_eq_n_Sn'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_1'#@#variant 'mat/eq_OZ_Zopp_OZ'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_reg_l' 'mat/inj_plus_r'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_succ_l' 'mat/Zplus_Zsucc'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_1_l' 'mat/divides_SO_n'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_le_lin'#@#variant 'mat/divides_smallest_factor_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_quot_le_lower_bound' 'mat/le_times_to_le_div'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lcm_1_r' 'mat/exp_n_SO'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_add_distr_l' 'mat/distr_times_minus'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_neq_succ_diag_l' 'mat/not_eq_n_Sn'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_pred' 'mat/pred_Sn'
0. 'coq/Coq_Arith_Factorial_lt_O_fact' 'mat/lt_O_teta'
0. 'coq/Coq_Arith_PeanoNat_Nat_ldiff_ldiff_l' 'mat/eq_minus_minus_minus_plus'
0. 'coq/Coq_ZArith_BinInt_Z_shiftr_land' 'mat/times_minus_l'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_0_l' 'mat/le_O_n'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_min_distr_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_1'#@#variant 'mat/A_SSO'#@#variant
0. 'coq/Coq_NArith_BinNat_N_log2_1'#@#variant 'mat/B_SSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_inj' 'mat/inj_S'
0. 'coq/Coq_PArith_BinPos_Pos_max_le_compat' 'mat/divides_times'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_nonneg_r'#@#variant 'mat/lt_times_l1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_2'#@#variant 'mat/B_SSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_add_distr_r' 'mat/times_exp'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_land_lnot_diag' 'mat/rtimes_rinv'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_1_r'#@#variant 'mat/plus_n_SO'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_two_succ'#@#variant 'mat/B_SSSO'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_sqrt_spec' 'mat/pregroup'
0. 'coq/Coq_Reals_ROrderedType_ROrder_TO_eq_equiv'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrtrem_spec' 'mat/AA'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_le_mono_l' 'mat/le_times_l'
0. 'coq/Coq_Reals_RIneq_not_INR' 'mat/inj_neg'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pred_le_mono' 'mat/lt_to_lt_S_S'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_1'#@#variant 'mat/B_SSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sub_max_distr_r' 'mat/times_exp'
0. 'coq/Coq_Reals_RIneq_cond_pos'#@#variant 'mat/sieve_sorted'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_trans' 'mat/trans_le'
0. 'coq/Coq_Arith_PeanoNat_Nat_eq_refl'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_mul_mono_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_1'#@#variant 'mat/B_SSSO'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_nonneg'#@#variant 'mat/not_nf_elim_not/1'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_compare_refl' 'mat/leb_refl'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_assoc' 'mat/andb_assoc'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_opp_diag_l' 'mat/minus_Sn_n'#@#variant
0. 'coq/Coq_Init_Peano_plus_O_n' 'mat/rtimes_one_r'
0. 'coq/Coq_QArith_Qreduction_Qred_correct' 'mat/le_sqrt_n_n'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_le_mono' 'mat/lt_plus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_0_succ' 'mat/lt_O_teta'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_assoc' 'mat/andb_assoc'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_sub_assoc' 'mat/eq_minus_plus_plus_minus'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_wf_0' 'mat/antisymmetric_le'
0. 'coq/Coq_Structures_OrderedTypeEx_PositiveOrderedTypeBits_bits_lt_trans' 'mat/trans_lt'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_nonneg'#@#variant 'mat/lt_SO_nth_prime_n'#@#variant
0. 'coq/Coq_NArith_BinNat_N_shiftr_lor' 'mat/times_plus_l'
0. 'coq/__constr_Coq_Classes_CMorphisms_normalization_done_0_1' 'mat/daemon1'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_assoc' 'mat/assoc_times'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_0_l' 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ltb_irrefl' 'mat/leb_refl'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_0_r' 'mat/times_n_O'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_max_distr_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_1_l'#@#variant 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lcm_mul_mono_l' 'mat/distr_times_plus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lor_diag' 'mat/gcd_n_n'
0. 'coq/Coq_Arith_Mult_mult_le_compat' 'mat/le_times'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_eq_sym'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_1'#@#variant 'mat/eq_OZ_Zopp_OZ'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_add_distr_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_PArith_BinPos_Pos_compare_eq' 'mat/eqb_true_to_eq'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lor_m1_r'#@#variant 'mat/times_n_O'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_le_mono' 'mat/lt_times'
0. 'coq/Coq_PArith_BinPos_Pos_add_le_mono' 'mat/divides_times'
0. 'coq/Coq_NArith_BinNat_N_add_lt_mono' 'mat/lt_times'
0. 'coq/Coq_PArith_BinPos_Pos_lt_le_trans' 'mat/lt_to_le_to_lt'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_1_l'#@#variant 'mat/gcd_SO_n'#@#variant
0. 'coq/__constr_Coq_Classes_CMorphisms_apply_subrelation_0_1' 'mat/daemon0'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftr_lor' 'mat/times_exp'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_0_r'#@#variant 'mat/exp_n_O0'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_nonneg'#@#variant 'mat/prime_nth_prime'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_min_distr' 'mat/distr_times_plus'
0. 'coq/Coq_Reals_ROrderedType_ROrder_le_neq_lt' 'mat/not_eq_to_le_to_lt'
0. 'coq/Coq_NArith_BinNat_N_lor_land_distr_r' 'mat/distr_times_plus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_0' 'mat/eq_OZ_Zopp_OZ'
0. 'coq/Coq_Bool_Bool_negb_xorb_l' 'mat/Zplus_Zsucc'
0. 'coq/Coq_Arith_PeanoNat_Nat_nle_succ_diag_l' 'mat/not_le_Sn_n'
0. 'coq/Coq_ZArith_Zquot_Zquot_opp_r' 'mat/plus_n_Sm'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_divide_mono_l' 'mat/lt_plus_r'
0. 'coq/Coq_ZArith_BinInt_Z_quot_le_lower_bound'#@#variant 'mat/le_times_to_le_div'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_compare_succ_succ' 'mat/nat_compare_S_S'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_nonneg' 'mat/lt_O_nth_prime_n'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_inj' 'mat/not_eq_S'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_xO_r' 'mat/plus_n_Sm'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_le_mono' 'mat/lt_times'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_pred_l' 'mat/le_prim_n'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_le_mono' 'mat/divides_times'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_divide/1' 'mat/divides_gcd_nm/0'
0. 'coq/Coq_ZArith_BinInt_Z_sub_add_distr' 'mat/exp_exp_times'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_eqb_refl' 'mat/eqb_n_n'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_max_l' 'mat/le_plus_n_r'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_eq_equiv'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_land_0_l' 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_pred_N_succ' 'mat/pos_n_eq_S_n'
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_2'#@#variant 'mat/A_SSSO'#@#variant
0. 'coq/Coq_Reals_ROrderedType_R_as_OT_eq_equiv'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_antisymm' 'mat/le_to_le_to_eq'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_sqrt_spec' 'mat/denom'
0. 'coq/Coq_NArith_BinNat_N_ggcd_correct_divisors' 'mat/nat_compare_to_Prop'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_square_spec' 'mat/times_SSO_n'#@#variant
0. 'coq/Coq_NArith_BinNat_N_succ_min_distr' 'mat/Zopp_Zplus'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lcm_diag' 'mat/gcd_n_n'
0. 'coq/Coq_ZArith_BinInt_Z_rem_opp_l_prime' 'mat/Zplus_Zsucc'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_eq_trans'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_succ_le' 'mat/times_SSO_pred'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_max_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_ZArith_Zorder_Zmult_lt_compat_r'#@#variant 'mat/lt_exp1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pred_succ' 'mat/Zsucc_Zpred'
0. 'coq/Coq_PArith_BinPos_Pcompare_refl'#@#variant 'mat/eqb_n_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_mul_mono_l' 'mat/distr_times_plus'
0. 'coq/Coq_QArith_Qcanon_Qcmult_1_l'#@#variant 'mat/rtimes_one_r'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_0_r'#@#variant 'mat/bc_n_O'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lcm_diag' 'mat/orb_refl'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_min_distr_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_ZArith_BinInt_Z_mul_1_l'#@#variant 'mat/rtimes_one_r'
0. 'coq/Coq_MMaps_MMapPositive_PositiveMap_E_lt_strorder'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_Reals_Rpower_arcsinh_sinh' 'mat/Zsucc_Zpred'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_eqb_refl' 'mat/nat_compare_n_n'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_lt_succ' 'mat/ltW'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_gt_lin_r' 'mat/lt_m_exp_nm'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_sub' 'mat/minus_plus_m_m'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_double_inj' 'mat/inj_S'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_min_distr_r' 'mat/times_exp'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_eq_decidable' 'mat/decidable_eq_fraction'
0. 'coq/Coq_Reals_Rtrigo1_COS_bound/0'#@#variant 'mat/lt_O_nth_prime_n'
0. 'coq/Coq_NArith_BinNat_N_square_nonneg'#@#variant 'mat/id_axiom'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_sqrt_sqrt_up' 'mat/le_B_A'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_assoc' 'mat/assoc_times'
0. 'coq/Coq_Reals_RIneq_INR_IZR_INZ' 'mat/numerator_nat_fact_to_fraction'
0. 'coq/Coq_omega_OmegaLemmas_Zred_factor4' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_ZArith_BinInt_Z_abs_nonneg' 'mat/lt_O_fact'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_compare_refl' 'mat/eqb_n_n'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_0_l' 'mat/le_O_n'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_pos'#@#variant 'mat/prime_smallest_factor_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_lt_mono' 'mat/lt_plus'
0. 'coq/Coq_QArith_Qcanon_Qcle_lt_trans' 'mat/le_to_lt_to_lt'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_compare_antisym' 'mat/nat_compare_n_m_m_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_le_compat_r' 'mat/lt_plus_l'
0. 'coq/Coq_ZArith_BinInt_Z_pred_succ' 'mat/Zpred_Zsucc'
0. 'coq/Coq_Arith_Lt_lt_n_S' 'mat/lt_to_lt_S_S'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_add_pos_l'#@#variant 'mat/lt_m_exp_nm'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_lt_mono' 'mat/le_times'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_sqrt_spec' 'mat/Magma_OF_Monoid'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lxor_assoc' 'mat/assoc_plus'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lor_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_QArith_QOrderedType_Q_as_DT_eq_equiv'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_ZArith_Zquot_Zrem_opp_l' 'mat/Zplus_Zpred'
0. 'coq/Coq_Arith_PeanoNat_Nat_succ_max_distr' 'mat/Zopp_Zplus'
0. 'coq/Coq_Bool_Bool_andb_assoc' 'mat/assoc_plus'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_max_distr' 'mat/distr_times_plus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_compare_eq' 'mat/eqb_true_to_eq'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_lt_mono' 'mat/lt_plus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_succ_l' 'mat/Zplus_Zpred'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_le_compat_l' 'mat/le_plus_r'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_eq_trans'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_min_l' 'mat/divides_gcd_nm/1'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_transitive'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_minus_min_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_succ_le' 'mat/times_SSO_pred'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_add_le_mono' 'mat/lt_times'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_le_mono' 'mat/ltS'
0. 'coq/Coq_Reals_Exp_prop_exp_pos_pos'#@#variant 'mat/lt_SO_smallest_factor'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_double_add' 'mat/Qinv_Qtimes\''
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_reflexive'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_ggcd_correct_divisors' 'mat/eqfb_to_Prop'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lxor_assoc' 'mat/andb_assoc'
0. 'coq/Coq_QArith_QArith_base_Q_Setoid'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lcm_0_r' 'mat/Qtimes_q_OQ'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_land_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_divide_lcm_r' 'mat/le_plus_n'
0. 'coq/Coq_ZArith_BinInt_Z_min_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_ggcd_greatest' 'mat/ltb_to_Prop'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_pred_succ' 'mat/pred_Sn'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_min_r' 'mat/divides_gcd_m'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_max_distr' 'mat/demorgan1'
0. 'coq/Coq_Arith_Gt_plus_gt_reg_l' 'mat/lt_plus_to_lt_r'
0. 'coq/Coq_ZArith_Zorder_Zmult_lt_0_le_reg_r'#@#variant 'mat/lt_times_n_to_lt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_pos'#@#variant 'mat/le_SSO_fact'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_nonneg' 'mat/lt_O_fact'
0. 'coq/Coq_Reals_RIneq_Rmult_lt_compat_r'#@#variant 'mat/lt_exp1'#@#variant
0. 'coq/Coq_Numbers_Cyclic_DoubleCyclic_DoubleBase_wB_pos'#@#variant 'mat/sieve_sorted'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_add_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_ZArith_BinInt_Zmult_assoc_reverse' 'mat/andb_assoc'
0. 'coq/Coq_Arith_PeanoNat_Nat_double_twice'#@#variant 'mat/eq_B_B1'
0. 'coq/Coq_Bool_Bool_orb_true_r' 'mat/times_n_O'
0. 'coq/Coq_ZArith_BinInt_Z_succ_min_distr' 'mat/Zopp_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_nonneg'#@#variant 'mat/lt_O_teta'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_1_l'#@#variant 'mat/divides_SO_n'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pred_le_mono' 'mat/lt_to_lt_S_S'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pred_0' 'mat/A_SSO'#@#variant
0. 'coq/Coq_ZArith_Zsqrt_compat_Zsqrt_equiv' 'mat/eq_A_A\''
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_le_lin'#@#variant 'mat/lt_sqrt_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_le_compat_r' 'mat/le_plus_l'
0. 'coq/Coq_PArith_Pnat_SuccNat2Pos_inj' 'mat/inj_neg'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_land_lor_distr_r' 'mat/distr_times_minus'
0. 'coq/Coq_ZArith_BinInt_Z_add_assoc' 'mat/andb_assoc'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_ltb_irrefl' 'mat/ltb_refl'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_Reals_RIneq_Rmult_integral_contrapositive_currified' 'mat/eq_Qtimes_OQ_to_eq_OQ'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_land_diag' 'mat/orb_refl'
0. 'coq/Coq_PArith_BinPos_Pos_gcd_divide_r' 'mat/divides_gcd_nm/0'
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_1'#@#variant 'mat/A_SO'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_nonneg'#@#variant 'mat/lt_O_fact'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_spec_prime/0' 'mat/leq_sqrt_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_1_l'#@#variant 'mat/divides_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_nonneg'#@#variant 'mat/not_nf_elim_not/1'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_1_l' 'mat/Ztimes_Zone_l'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_assoc' 'mat/assoc_plus'
0. 'coq/Coq_ZArith_BinInt_Z_shiftr_ldiff' 'mat/times_minus_l'
0. 'coq/Coq_Bool_Bool_orb_false_elim' 'mat/gcd_O_to_eq_O'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lxor_0_l' 'mat/Qtimes_Qone_q'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_sub_lt' 'mat/eq_minus_n_m_O'
0. 'coq/Coq_ZArith_BinInt_Z_lt_add_pos_l' 'mat/le_times_n'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_succ_diag_r' 'mat/le_n_fact_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftr_lxor' 'mat/times_minus_l'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_nonneg'#@#variant 'mat/not_nf_elim_not/1'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_min_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_le_mono_l' 'mat/le_times_l'
0. 'coq/Coq_ZArith_Zorder_Zmult_lt_0_le_reg_r' 'mat/le_exp_to_le1'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_assoc' 'mat/assoc_times'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_trans' 'mat/trans_le'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_eq_trans'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_1_l' 'mat/Qtimes_Qone_q'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_le_compat' 'mat/lt_times'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_sqrt_sqrt_up' 'mat/le_times_SSO_n_exp_SSO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_reflexive'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lxor_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_Bool_Bool_xorb_negb_negb' 'mat/minus_S_S'
0. 'coq/Coq_QArith_Qcanon_Qclt_not_eq' 'mat/eq_to_not_lt'
0. 'coq/Coq_NArith_BinNat_N_sub_succ' 'mat/minus_S_S'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_0_l' 'mat/rtimes_one_r'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_reg_l' 'mat/inj_plus_r'
0. 'coq/Coq_Reals_RIneq_Rgt_trans' 'mat/trans_divides'
0. 'coq/Coq_NArith_BinNat_N_gcd_divide_l' 'mat/divides_gcd_nm/1'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_le_mono' 'mat/lt_times'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_antisym' 'mat/antisym_le'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_sqrt_spec' 'mat/OZ_test_to_Prop'
0. 'coq/Coq_Reals_Rminmax_R_max_le_compat_r' 'mat/le_times_l'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_assoc' 'mat/assoc_times'
0. 'coq/Coq_ZArith_Zbool_Zle_cases' 'mat/eqZb_to_Prop'
0. 'coq/Coq_NArith_BinNat_N_lt_strorder'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_irrefl' 'mat/Not_lt_n_n'
0. 'coq/Coq_FSets_FSetPositive_PositiveSet_eq_trans' 'mat/trans_divides'
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_1_l' 'mat/exp_SO_n'
0. 'coq/Coq_Arith_PeanoNat_Nat_lcm_diag' 'mat/gcd_n_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_mul_mono_l' 'mat/distr_times_minus'
0. 'coq/Coq_ZArith_BinInt_Z_lor_0_l' 'mat/Ztimes_Zone_l'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_sub_le' 'mat/eq_minus_n_m_O'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_transitive'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_Init_Datatypes_Empty_set_ind' 'mat/void_ind'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_succ_diag_r' 'mat/le_n_Sn'
0. 'coq/Coq_QArith_QArith_base_Q_Setoid'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_peano_ind' 'mat/nat_ind'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_pos_le'#@#variant 'mat/divides_to_le'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lcm_diag' 'mat/times_SSO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sub_add_distr' 'mat/exp_exp_times'
0. 'coq/Coq_Reals_ArithProp_le_minusni_n' 'mat/divides_div'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_nonneg' 'mat/lt_O_nth_prime_n'
0. 'coq/Coq_ZArith_Zquot_Z_rem_same' 'mat/bc_n_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_eq_decidable' 'mat/decidable_eq_nat'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_succ_r' 'mat/plus_n_Sm'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_add_distr_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_nonneg_l'#@#variant 'mat/le_log'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_le_compat' 'mat/lt_times'
0. 'coq/Coq_Arith_PeanoNat_Nat_max_0_l' 'mat/gcd_O_n'
0. 'coq/Coq_FSets_FSetPositive_PositiveSet_equal_2' 'mat/divides_b_true_to_divides'
0. 'coq/Coq_Structures_OrdersEx_PositiveOrderedTypeBits_bits_lt_trans' 'mat/trans_divides'
0. 'coq/Coq_Arith_Wf_nat_lt_wf_ind' 'mat/nat_elim1'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_1_l'#@#variant 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_odd_succ' 'mat/pos_n_eq_S_n'
0. 'coq/Coq_ZArith_BinInt_Z_pos_sub_diag' 'mat/leb_refl'
0. 'coq/Coq_ZArith_BinInt_Z_abs_0' 'mat/A_SO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftl_lor' 'mat/times_minus_l'
0. 'coq/Coq_Reals_Ranalysis4_Rcontinuity_abs' 'mat/increasing_nth_prime'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_ggcd_correct_divisors' 'mat/Z_compare_to_Prop'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ggcd_correct_divisors' 'mat/R'
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_nonneg'#@#variant 'mat/prime_nth_prime'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_nonneg'#@#variant 'mat/lt_O_nth_prime_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_assoc' 'mat/andb_assoc'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_min_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_ZArith_BinInt_Z_min_max_distr' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_trans' 'mat/trans_divides'
0. 'coq/Coq_NArith_BinNat_N_sqrt_0' 'mat/eq_OZ_Zopp_OZ'
0. 'coq/Coq_NArith_BinNat_N_lt_wf_0' 'mat/antisymmetric_le'
0. 'coq/Coq_NArith_BinNat_N_le_pred_l' 'mat/le_smallest_factor_n'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_le_mono_l' 'mat/le_plus_l'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_antisym' 'mat/antisym_le'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_1_l'#@#variant 'mat/Ztimes_Zone_l'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Topp_one_stable' 'mat/increasing_nth_prime'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_succ_l' 'mat/Zplus_Zsucc'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_le_mono' 'mat/le_S_S'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_xO' 'mat/Zopp_Zplus'
0. 'coq/Coq_Arith_Plus_plus_lt_compat_l' 'mat/le_plus_r'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_div_lt'#@#variant 'mat/lt_div'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lcm_1_l'#@#variant 'mat/rtimes_one_r'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_nonneg_l'#@#variant 'mat/le_log'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lcm_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftr_lxor' 'mat/times_exp'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_nonneg'#@#variant 'mat/prime_nth_prime'
0. 'coq/Coq_Numbers_BinNums_Z_ind' 'mat/Z_ind'
0. 'coq/Coq_Arith_Wf_nat_lt_wf' 'mat/antisymmetric_le'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_neq' 'mat/lt_to_not_eq'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_max_r' 'mat/le_plus_n'
0. 'coq/Coq_Arith_PeanoNat_Nat_sub_add' 'mat/divides_to_div'
0. 'coq/Coq_NArith_Ndiv_def_Pdiv_eucl_correct' 'mat/leb_to_Prop'
0. 'coq/Coq_Classes_RelationClasses_impl_Transitive' 'mat/impl_trans'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_pos_r' 'mat/lt_O_gcd'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_sub_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_land_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_pos' 'mat/lt_SO_n_to_lt_O_pred_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_nonneg'#@#variant 'mat/lt_SO_nth_prime_n'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_lt_strorder'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div_small' 'mat/eq_div_O'
0. 'coq/Coq_PArith_BinPos_Pos_mul_1_l' 'mat/rtimes_one_r'
0. 'coq/Coq_Arith_Minus_minus_diag_reverse' 'mat/bc_n_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftr_0_l' 'mat/mod_O_n'
0. 'coq/Coq_ZArith_BinInt_Z_add_pred_l' 'mat/Zplus_Zsucc'
0. 'coq/Coq_NArith_BinNat_N_eq_equiv'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_assoc' 'mat/andbA'
0. 'coq/Coq_ZArith_BinInt_Z_div_le_mono'#@#variant 'mat/lt_exp1'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_succ_r' 'mat/plus_n_Sm'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_nonneg'#@#variant 'mat/not_nf_elim_not/0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_quot_factor' 'mat/eq_gcd_div_div_div_gcd'
0. 'coq/Coq_Arith_PeanoNat_Nat_eqb_refl' 'mat/nat_compare_n_n'
0. 'coq/Coq_Strings_Ascii_ascii_N_embedding' 'mat/defactorize_factorize'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div_le_mono'#@#variant 'mat/lt_times_l1'#@#variant
0. 'coq/Coq_NArith_BinNat_N_le_gt_cases' 'mat/not_lt_to_le'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_min_distr_l' 'mat/distr_times_minus'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tred_factor1_stable' 'mat/increasing_nth_prime'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_land_0_r' 'mat/Qtimes_q_OQ'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_eq_sym'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_land_lor_distr_r' 'mat/distr_times_plus'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_eqb_refl' 'mat/eqb_n_n'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_nonneg'#@#variant 'mat/lt_O_nth_prime_n'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_succ_l' 'mat/Zplus_Zpred'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_max_distr_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftr_lxor' 'mat/times_minus_l'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_lt_mono_r' 'mat/lt_exp'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_compare_refl' 'mat/eqb_n_n'
0. 'coq/Coq_NArith_BinNat_N_ldiff_0_l' 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_nonneg' 'mat/lt_O_teta'
0. 'coq/Coq_Arith_PeanoNat_Nat_eq_trans'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_add_pos_r'#@#variant 'mat/O_lt_const_to_le_times_const'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_min_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tred_factor4_stable' 'mat/monotonic_A'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_lt_cancel' 'mat/lt_S_S_to_lt'
0. 'coq/Coq_NArith_BinNat_N_sqrtrem_spec' 'mat/magma0'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_add_distr_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Classes_RelationClasses_RewriteRelation_instance_1' 'mat/reflexive_iff'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_sub_assoc' 'mat/eq_minus_plus_plus_minus'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_lt_mono' 'mat/divides_times'
0. 'coq/Coq_Classes_RelationClasses_RewriteRelation_instance_0' 'mat/reflexive_iff'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_decidable' 'mat/decidable_lt'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_min_distr' 'mat/distr_times_minus'
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_divide_l' 'mat/le_minus_m'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_2'#@#variant 'mat/B_SSSSO'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zlt_0_le_0_pred'#@#variant 'mat/le_SSO_fact'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lxor_0_l' 'mat/Ztimes_Zone_l'
0. 'coq/Coq_ZArith_BinInt_Z_mul_add_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_0_l' 'mat/divides_SO_n'#@#variant
0. 'coq/Coq_Bool_Bool_orb_assoc' 'mat/andb_assoc'
0. 'coq/Coq_PArith_BinPos_Pos_lt_strorder'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_min_max_distr' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Arith_Max_plus_max_distr_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_strorder'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lxor_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_pow2'#@#variant 'mat/S_pred'#@#variant
0. 'coq/Coq_NArith_Ndist_ni_le_antisym' 'mat/antisym_le'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_nonneg'#@#variant 'mat/lt_SO_nth_prime_n'#@#variant
0. 'coq/Coq_NArith_BinNat_N_min_assoc' 'mat/assoc_times'
0. 'coq/Coq_ZArith_BinInt_Z_add_assoc' 'mat/andbA'
0. 'coq/Coq_NArith_BinNat_N_compare_eq' 'mat/eqb_true_to_eq'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_leb_refl' 'mat/leb_refl'
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_lt_cancel' 'mat/le_S_S_to_le'
0. 'coq/Coq_ZArith_Zsqrt_compat_Zsqrt_plain_is_pos'#@#variant 'mat/lt_SO_smallest_factor'#@#variant
0. 'coq/Coq_MSets_MSetPositive_PositiveSet_E_lt_strorder'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_1_l'#@#variant 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_eq_refl'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_Bool_Bool_orb_true_r' 'mat/Qtimes_q_OQ'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_lor' 'mat/demorgan2'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_lt_0'#@#variant 'mat/ltn_to_ltO'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_2' 'mat/A_SSO'
0. 'coq/Coq_Reals_RIneq_Rmult_gt_reg_l'#@#variant 'mat/le_exp_to_le'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_lt_mono' 'mat/lt_times'
0. 'coq/Coq_ZArith_BinInt_Z_ldiff_0_l' 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_Arith_Mult_mult_assoc_reverse' 'mat/assoc_Zplus'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_eq_equiv'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_compare_refl' 'mat/nat_compare_n_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lor_eq_0_l' 'mat/andb_true_true'
0. 'coq/Coq_ZArith_BinInt_Z_log2_nonneg'#@#variant 'mat/lt_SO_nth_prime_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lcm_mul_mono_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_ZArith_BinInt_Z_min_le_compat' 'mat/le_plus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_le_compat' 'mat/divides_times'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_le_compat_r' 'mat/le_plus_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_eq_equiv'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_2'#@#variant 'mat/A_SO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_carry_reg_r' 'mat/inj_plus_l'
0. 'coq/Coq_NArith_BinNat_N_shiftr_0_l' 'mat/mod_O_n'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_min_distr' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_eq_mul_0_r' 'mat/times_O_to_O'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_eq_equiv'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_NArith_BinNat_N_div2_double' 'mat/Zpred_Zsucc'
0. 'coq/Coq_Arith_Plus_plus_lt_compat_r' 'mat/lt_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_div_lt' 'mat/lt_div'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_0_succ'#@#variant 'mat/not_nf_elim_not/0'
0. 'coq/Coq_Arith_Gt_plus_gt_compat_l' 'mat/le_plus_r'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_nonneg'#@#variant 'mat/lt_O_teta'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mod_1_l'#@#variant 'mat/exp_n_O'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_le_lt_mono' 'mat/le_to_lt_to_plus_lt'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_sub_diag' 'mat/bc_n_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_sqrt_spec' 'mat/fsort'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_land_lor_distr_r' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_le_succ_r' 'mat/ltW'
0. 'coq/Coq_Reals_RIneq_Rplus_ne/1' 'mat/Ztimes_Zone_l'
0. 'coq/Coq_ZArith_BinInt_Z_max_le_compat' 'mat/divides_times'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_assoc' 'mat/assoc_times'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_sub_l' 'mat/le_minus_m'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_wf_0' 'mat/antisymmetric_le'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_strorder'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_eq_refl'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_leb_refl' 'mat/nat_compare_n_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_le_mono' 'mat/le_pred'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_assoc' 'mat/assoc_times'
0. 'coq/Coq_PArith_BinPos_Pos_gcd_greatest' 'mat/divides_minus'
0. 'coq/Coq_ZArith_BinInt_Z_divide_sub_r' 'mat/divides_plus'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_max_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_nonneg'#@#variant 'mat/not_nf_elim_not/0'
0. 'coq/Coq_Reals_ROrderedType_ROrder_le_neq_lt' 'mat/le_to_or_lt_eq'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mod_le'#@#variant 'mat/lt_div'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftr_lxor' 'mat/times_exp'
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_divide/1' 'mat/divides_gcd_nm/0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_le_lin'#@#variant 'mat/divides_smallest_factor_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_one_succ'#@#variant 'mat/B_SSSSO'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Topp_opp_stable' 'mat/monotonic_A'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lor_0_l' 'mat/Ztimes_Zone_l'
0. 'coq/Coq_Arith_PeanoNat_Nat_sub_max_distr_l' 'mat/exp_plus_times'
0. 'coq/Coq_Reals_RIneq_Rgt_trans' 'mat/trans_lt'
0. 'coq/Coq_Classes_RelationClasses_iff_Reflexive' 'mat/impl_trans'
0. 'coq/Coq_ZArith_Zdiv_Z_mod_same_full' 'mat/bc_n_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_add_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tplus_comm_stable' 'mat/monotonic_sqrt'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_succ_m1'#@#variant 'mat/B_SSSO'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_eq_sym'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_le_mono_r'#@#variant 'mat/le_exp'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_nle_succ_0' 'mat/not_le_Sn_O'
0. 'coq/Coq_Arith_Max_plus_max_distr_l' 'mat/distr_times_plus'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_leb_refl' 'mat/nat_compare_n_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_max_distr_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_le_mono' 'mat/le_S_S'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div2_succ_double' 'mat/pred_Sn'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lxor_assoc' 'mat/assoc_times'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_pos' 'mat/lt_SO_n_to_lt_O_pred_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_nonneg'#@#variant 'mat/lt_O_teta'#@#variant
0. 'coq/Coq_Reals_RIneq_Rle_0_sqr' 'mat/lt_O_S'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lxor_0_l' 'mat/gcd_O_n'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_divide_l' 'mat/divides_gcd_n'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_nonneg' 'mat/lt_O_teta'
0. 'coq/Coq_NArith_BinNat_N_pow_mul_r' 'mat/eq_minus_minus_minus_plus'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_le_lt_mono' 'mat/le_to_lt_to_plus_lt'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_nonneg'#@#variant 'mat/not_nf_elim_not/0'
0. 'coq/Coq_PArith_BinPos_Pos_add_le_mono' 'mat/le_times'
0. 'coq/Coq_ZArith_BinInt_Z_eq_sym'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_Reals_Rsqrt_def_pow_2_n_neq_R0' 'mat/not_eq_OZ_neg'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_pos'#@#variant 'mat/lt_SO_n_to_lt_O_pred_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_0_l' 'mat/exp_n_O'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_mul_l' 'mat/times_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_trans' 'mat/trans_le'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_1'#@#variant 'mat/A_SSSO'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zplus_le_reg_l' 'mat/le_plus_to_le'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_pos_r' 'mat/lt_O_gcd'
0. 'coq/Coq_NArith_BinNat_N_lcm_mul_mono_r' 'mat/times_minus_l'
0. 'coq/Coq_Classes_RelationClasses_eq_Symmetric' 'mat/reflexive_eq'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_min_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_NArith_BinNat_N_gcd_assoc' 'mat/assoc_plus'
0. 'coq/Coq_Reals_Exp_prop_exp_pos'#@#variant 'mat/lt_O_teta'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sub_le_mono_r' 'mat/le_plus_l'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pos_sub_discr' 'mat/ltb_to_Prop'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_le_mono' 'mat/le_to_le_pred'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_divide_mono_r' 'mat/lt_plus_l'
0. 'coq/Coq_NArith_BinNat_N_sub_le_mono_r' 'mat/le_times_l'
0. 'coq/Coq_Reals_Exp_prop_exp_pos'#@#variant 'mat/lt_O_nth_prime_n'#@#variant
0. 'coq/Coq_Arith_Compare_dec_leb_correct_conv' 'mat/lt_to_leb_false'
0. 'coq/Coq_ZArith_Zeven_Zeven_mult_Zeven_l' 'mat/lt_O_exp'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_le_lin'#@#variant 'mat/lt_sqrt_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_0_r'#@#variant 'mat/mod_SO'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_min_le_compat_l' 'mat/le_plus_r'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_lt_mono_r'#@#variant 'mat/le_exp'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_lt_cancel' 'mat/ltS\''
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_le_lin'#@#variant 'mat/lt_sqrt_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_nonneg'#@#variant 'mat/lt_SO_nth_prime_n'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_lt_mono' 'mat/le_times'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_transitive'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_nonneg_r'#@#variant 'mat/lt_exp1'#@#variant
0. 'coq/Coq_NArith_BinNat_N_log2_up_pow2'#@#variant 'mat/S_pred'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_min_le_compat' 'mat/le_plus'
0. 'coq/Coq_NArith_Ndist_Npdist_eq_1' 'mat/eqb_n_n'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_sub_distr_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_2'#@#variant 'mat/B_SSSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_preorder'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_nonneg' 'mat/lt_O_nth_prime_n'
0. 'coq/Coq_PArith_BinPos_Pcompare_refl'#@#variant 'mat/leb_refl'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lcm_0_r' 'mat/Ztimes_z_OZ'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_sub_assoc' 'mat/eq_minus_plus_plus_minus'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_inj_r'#@#variant 'mat/inj_exp_r'#@#variant
0. 'coq/Coq_Reals_RIneq_Ropp_involutive' 'mat/Zopp_Zopp'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_assoc' 'mat/andbA'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_0_discr' 'mat/not_eq_O_S'
0. 'coq/Coq_NArith_BinNat_N_land_lor_distr_l' 'mat/times_plus_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pred_succ' 'mat/Zpred_Zsucc'
0. 'coq/Coq_ZArith_BinInt_Z_div2_spec'#@#variant 'mat/plus_n_SO'#@#variant
0. 'coq/Coq_Structures_OrderedTypeEx_N_as_OT_lt_not_eq' 'mat/lt_to_not_eq'
0. 'coq/Coq_Bool_Bool_xorb_false_l' 'mat/rtimes_one_r'
0. 'coq/Coq_QArith_QOrderedType_Q_as_OT_eq_equiv'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_le_trans' 'mat/lt_to_le_to_lt'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_le_mono' 'mat/le_pred'
0. 'coq/Coq_Reals_Rminmax_R_max_le_compat' 'mat/divides_times'
0. 'coq/Coq_ZArith_BinInt_Z_add_succ_l' 'mat/Zplus_Zsucc'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_gt_cases' 'mat/not_le_to_lt'
0. 'coq/Coq_Logic_ClassicalFacts_TrueP' 'mat/daemon0'
0. 'coq/Coq_Reals_Rpower_exp_increasing' 'mat/ltS'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_compare_refl' 'mat/ltb_refl'
0. 'coq/Coq_Reals_Rsqrt_def_pow_2_n_neq_R0' 'mat/not_eq_OZ_pos'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_le_lin'#@#variant 'mat/lt_sqrt_n'#@#variant
0. 'coq/__constr_Coq_Arith_Even_even_0_2' 'mat/prime_smallest_factor_n'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_eq_refl'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_NArith_Ndigits_Nless_not_refl' 'mat/eqb_n_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_1_l'#@#variant 'mat/gcd_O_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_1'#@#variant 'mat/A_SSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_reg_r' 'mat/inj_plus_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_sqrt_sqrt_up' 'mat/le_times_SSO_n_exp_SSO_n'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_0' 'mat/eq_OZ_Zopp_OZ'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_nonneg'#@#variant 'mat/lt_O_fact'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_pred_l' 'mat/le_smallest_factor_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_mul' 'mat/Qinv_Qtimes\''
0. 'coq/Coq_Reals_RIneq_Rgt_trans' 'mat/trans_le'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_r' 'mat/le_plus_l'
0. 'coq/Coq_PArith_BinPos_Pos_ggcd_correct_divisors' 'mat/eqZb_to_Prop'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ldiff_ldiff_l' 'mat/exp_exp_times'
0. 'coq/Coq_ZArith_BinInt_Z_pow_mul_l' 'mat/times_minus_l'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_succ_diag_r' 'mat/lt_n_nth_prime_n'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_min_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_ZArith_Znumtheory_rel_prime_1'#@#variant 'mat/divides_SO_n'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_diag' 'mat/orb_refl'
0. 'coq/Coq_Reals_RIneq_Rlt_Rminus' 'mat/lt_to_lt_O_minus'
0. 'coq/Coq_NArith_BinNat_N_max_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_lt_cancel' 'mat/le_S_S_to_le'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_min_distr_l' 'mat/distr_times_plus'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_add' 'mat/minus_plus_m_m'
0. 'coq/Coq_QArith_QArith_base_Qle_lt_trans' 'mat/le_to_lt_to_lt'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_pos'#@#variant 'mat/le_SSO_fact'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_mul_mono_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_involutive' 'mat/opposite_direction_idempotent'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_min_distr_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_NArith_BinNat_N_lt_0_succ'#@#variant 'mat/not_nf_elim_not/0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_2'#@#variant 'mat/A_SSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_ge_cases' 'mat/not_le_to_lt'
0. 'coq/Coq_Reals_ROrderedType_R_as_OT_eq_equiv'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_ZArith_Zdiv_Zdiv2_div'#@#variant 'mat/plus_n_SO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_le_mono' 'mat/lt_to_lt_S_S'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_nonneg'#@#variant 'mat/lt_O_exp'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_transitive'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_Classes_RelationClasses_impl_Reflexive' 'mat/symmetric_iff'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_min_l' 'mat/divides_gcd_n'
0. 'coq/Coq_QArith_QOrderedType_QOrder_lt_trans' 'mat/trans_divides'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_quot_factor'#@#variant 'mat/eq_gcd_div_div_div_gcd'#@#variant
0. 'coq/Coq_NArith_BinNat_N_le_refl' 'mat/divides_n_n'
0. 'coq/Coq_Bool_Bool_orb_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_Structures_DecidableTypeEx_Positive_as_DT_lt_trans' 'mat/trans_divides'
0. 'coq/Coq_Reals_RIneq_Rmult_minus_distr_l' 'mat/distr_times_plus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_reflexive'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_inj' 'mat/not_eq_S'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_1_l'#@#variant 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_Reals_ROrderedType_R_as_DT_eq_equiv'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mod_1_r'#@#variant 'mat/bc_n_O'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_max_distr_l' 'mat/distr_times_plus'
0. 'coq/Coq_Arith_PeanoNat_Nat_land_lor_distr_l' 'mat/times_exp'
0. 'coq/Coq_Reals_Rtrigo1_tan_0' 'mat/A_SSO'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_0_r'#@#variant 'mat/bc_n_O'#@#variant
0. 'coq/Coq_ZArith_Zpower_two_p_equiv'#@#variant 'mat/eq_B_B1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_sub_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_QArith_Qreals_Qlt_Rlt' 'mat/lt_to_Zlt_pos_pos'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_le_lin'#@#variant 'mat/divides_smallest_factor_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_lt_lin'#@#variant 'mat/lt_sqrt_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_le_compat_r' 'mat/le_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_eq_trans'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_eq_equiv'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div_small' 'mat/lt_to_div_O'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_pred_l' 'mat/le_sqrt_n_n'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_succ_max_distr' 'mat/Zopp_Zplus'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sub_succ_r' 'mat/eq_minus_S_pred'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_max_distr_l' 'mat/distr_times_minus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_strorder'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_compare_refl' 'mat/leb_refl'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_le_mono' 'mat/divides_times'
0. 'coq/Coq_Bool_Bool_andb_orb_distrib_r' 'mat/distr_times_plus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_0_l' 'mat/mod_O_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_le_mono_l' 'mat/lt_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lcm_1_l'#@#variant 'mat/Ztimes_Zone_l'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lor_m1_r'#@#variant 'mat/times_n_O'
0. 'coq/Coq_ZArith_Zdiv_Zdiv_le_lower_bound' 'mat/divides_times_to_divides_div'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_min_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_PArith_BinPos_Pos_gcd_divide_l' 'mat/divides_gcd_nm/1'
0. 'coq/Coq_Reals_Rminmax_R_max_le_compat' 'mat/lt_times'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_min_distr' 'mat/distr_times_minus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_eq_trans'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_ZArith_BinInt_Zmult_minus_distr_l' 'mat/distr_times_plus'
0. 'coq/Coq_NArith_BinNat_N_sqrtrem_spec' 'mat/denom'
0. 'coq/Coq_NArith_BinNat_N_one_succ'#@#variant 'mat/B_SSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_l' 'mat/lt_to_eq_mod'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_ggcd_greatest' 'mat/R'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_min_distr_r' 'mat/times_exp'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_eq_trans'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sub_min_distr_l' 'mat/exp_plus_times'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_div_lt'#@#variant 'mat/lt_div'#@#variant
0. 'coq/Coq_Reals_RIneq_Rmult_gt_reg_l'#@#variant 'mat/lt_times_to_lt'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_max_le_compat_l' 'mat/lt_plus_r'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_2'#@#variant 'mat/B_SSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_lt_cancel' 'mat/le_S_S_to_le'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_nonneg_r' 'mat/lt_exp1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sub_min_distr_l' 'mat/exp_plus_times'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_max_distr_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Reals_Raxioms_Rmult_lt_compat_l'#@#variant 'mat/le_log'#@#variant
0. 'coq/Coq_Bool_Bool_orb_diag' 'mat/orb_refl'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_nonneg' 'mat/lt_O_nth_prime_n'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_compare_refl' 'mat/ltb_refl'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sub_le_mono_l' 'mat/monotonic_le_minus_r'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_bounded/0'#@#variant 'mat/sieve_sorted'#@#variant
0. 'coq/Coq_NArith_BinNat_N_Even_or_Odd' 'mat/not_not_bertrand_to_bertrand'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_opp_diag_l' 'mat/minus_Sn_n'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_0_succ'#@#variant 'mat/not_nf_elim_not/1'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tred_factor2_stable' 'mat/injective_nth_prime'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_nonneg'#@#variant 'mat/lt_O_S'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pred_le_mono' 'mat/le_pred'
0. 'coq/Coq_Arith_PeanoNat_Nat_leb_refl' 'mat/eqb_n_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_max_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_assoc' 'mat/assoc_plus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ldiff_m1_r'#@#variant 'mat/mod_SO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_assoc' 'mat/assoc_plus'
0. 'coq/Coq_Arith_PeanoNat_Nat_neq_succ_diag_r' 'mat/not_eq_n_Sn'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_r' 'mat/le_plus_l'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_lt_mono' 'mat/le_times'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_glb_lt' 'mat/divides_plus'
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_1_r'#@#variant 'mat/le_n_O_to_eq'
0. 'coq/Coq_Reals_RIneq_cond_nonzero' 'mat/not_eq_OZ_neg'
0. 'coq/Coq_Bool_Bool_andb_true_l' 'mat/rtimes_one_r'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_le_compat_r' 'mat/le_plus_l'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_compare_refl' 'mat/eqb_n_n'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_strorder'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_min_le_compat' 'mat/lt_plus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono' 'mat/le_times'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_0_succ' 'mat/lt_O_teta'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_sqrt_spec' 'mat/Magma_OF_PreGroup'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_div_eucl' 'mat/leb_to_Prop'
0. 'coq/Coq_PArith_BinPos_Pos_min_le_compat_r' 'mat/le_times_l'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_1_l'#@#variant 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_nle_succ_diag_l' 'mat/not_le_Sn_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_leb_refl' 'mat/ltb_refl'
0. 'coq/Coq_Arith_PeanoNat_Nat_neq_succ_diag_l' 'mat/not_eq_n_Sn'
0. 'coq/Coq_ZArith_BinInt_Z_div_le_lower_bound' 'mat/le_times_to_le_div'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_1_l'#@#variant 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_ZArith_BinInt_Z_le_preorder'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_Reals_Rtrigo_def_exp_0' 'mat/A_SSSO'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qcle_not_lt' 'mat/le_to_not_lt'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_le_lin' 'mat/le_pred_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_pred_l' 'mat/le_prim_n'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_trans' 'mat/trans_lt'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_1_l' 'mat/rtimes_one_r'
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_nonneg'#@#variant 'mat/not_nf_elim_not/0'
0. 'coq/Coq_ZArith_BinInt_Zmult_assoc_reverse' 'mat/assoc_plus'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_compare_refl' 'mat/ltb_refl'
0. 'coq/Coq_Reals_Ratan_ps_atan0_0' 'mat/A_SSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_1_r' 'mat/div_SO'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrtrem_spec' 'mat/fsort'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_nonneg'#@#variant 'mat/not_nf_elim_not/1'
0. 'coq/Coq_Reals_Rminmax_R_minus_max_distr_l' 'mat/exp_plus_times'
0. 'coq/Coq_QArith_Qabs_Qabs_nonneg'#@#variant 'mat/not_nf_elim_not/1'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_even_aux' 'mat/fsort'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_0_succ'#@#variant 'mat/not_nf_elim_not/1'
0. 'coq/Coq_ZArith_Zorder_Zmult_lt_compat_l'#@#variant 'mat/le_exp'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftr_land' 'mat/times_exp'
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_lt_lin'#@#variant 'mat/divides_smallest_factor_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_min_distr_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Init_Peano_nat_case' 'mat/nat_case'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_add_pos_l'#@#variant 'mat/lt_m_exp_nm'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_min_distr_l' 'mat/distr_times_minus'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_min_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_Arith_Min_min_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_sqrt_spec' 'mat/Magma_OF_Group'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_ge_cases' 'mat/not_lt_to_le'
0. 'coq/Coq_Reals_R_sqr_Rsqr_1' 'mat/A_SSO'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_pow_1_l'#@#variant 'mat/exp_n_O'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_max_distr' 'mat/demorgan2'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_lt_0' 'mat/ltn_to_ltO'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_assoc' 'mat/andbA'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_nonneg'#@#variant 'mat/not_nf_elim_not/1'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_1_l' 'mat/le_O_n'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_divide_mono_l' 'mat/lt_plus_r'
0. 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_mult_lt_compat_l'#@#variant 'mat/le_exp'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_lt_0' 'mat/ltn_to_ltO'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_assoc' 'mat/assoc_plus'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrtrem_spec' 'mat/pregroup'
0. 'coq/Coq_PArith_BinPos_Peqb_true_eq' 'mat/eqb_true_to_eq'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_nonneg'#@#variant 'mat/not_nf_elim_not/1'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_spec_is_even' 'mat/magma0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_0_r' 'mat/Qtimes_q_OQ'
0. 'coq/Coq_ZArith_BinInt_Z_sub_pred_l' 'mat/Zplus_Zpred'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_sub_decr' 'mat/divides_div'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_eq_0_r' 'mat/eq_plus_n_m_O_to_eq_m_O'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_eqb_refl' 'mat/ltb_refl'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_min_r' 'mat/divides_gcd_m'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_sqrt_spec' 'mat/magma'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lcm_diag' 'mat/gcd_n_n'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_1_l'#@#variant 'mat/le_O_n'
0. 'coq/Coq_ZArith_BinInt_Z_divide_factor_r' 'mat/le_plus_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_1'#@#variant 'mat/eq_OZ_Zopp_OZ'
0. 'coq/Coq_Arith_PeanoNat_Nat_ldiff_diag' 'mat/bc_n_n'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_reflexive'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_gcd_divide_r' 'mat/divides_gcd_m'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftr_land' 'mat/times_minus_l'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_shuffle1' 'mat/ab_times_cd'
0. 'coq/Coq_PArith_BinPos_Pos_sqrt_spec' 'mat/segment_finType'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_double_spec'#@#variant 'mat/eq_A_A\''
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_le_compat_r' 'mat/lt_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_ge_cases' 'mat/not_le_to_lt'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_0_succ'#@#variant 'mat/prime_nth_prime'
0. 'coq/Coq_Reals_Rtrigo1_sin_PI2'#@#variant 'mat/B_SSSO'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_le_incl' 'mat/lt_to_le'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_nonneg' 'mat/lt_O_fact'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_strorder'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_le_trans' 'mat/trans_lt'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_trans' 'mat/trans_le'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_factor_r' 'mat/le_plus_n'
0. 'coq/Coq_Reals_RIneq_INR_eq' 'mat/inj_pos'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_nonneg'#@#variant 'mat/not_nf_elim_not/0'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_1_succ' 'mat/le_SO_fact'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pos_pred_succ' 'mat/factorize_defactorize'
0. 'coq/Coq_QArith_QArith_base_Qnot_lt_le' 'mat/not_le_to_lt'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_le_compat_l' 'mat/le_plus_r'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_1_r'#@#variant 'mat/Qtimes_q_OQ'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_pred_l' 'mat/le_smallest_factor_n'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftr_lor' 'mat/times_exp'
0. 'coq/Coq_Arith_PeanoNat_Nat_max_le_compat_l' 'mat/le_plus_r'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_eq_0_r' 'mat/times_O_to_O'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_0_l' 'mat/Qtimes_Qone_q'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_decidable' 'mat/decidable_lt'
0. 'coq/Coq_NArith_BinNat_N_sqrt_0' 'mat/A_SO'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_gt_cases' 'mat/not_lt_to_le'
0. 'coq/Coq_Init_Datatypes_bool_ind' 'mat/rewrite_direction_ind'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_lt_lin'#@#variant 'mat/lt_sqrt_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_nonneg'#@#variant 'mat/prime_nth_prime'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftr_land' 'mat/times_plus_l'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_le_mono_nonneg_r'#@#variant 'mat/lt_exp1'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_sub_distr_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftl_0_l' 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qcmult_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_nonneg'#@#variant 'mat/lt_O_teta'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_le_lin' 'mat/le_sqrt_n_n'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_sub_r' 'mat/divides_minus'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_le_mono' 'mat/le_S_S'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_max_distr' 'mat/Qinv_Qtimes\''
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_sqrt_spec' 'mat/semigroup'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_le_mono' 'mat/divides_times'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_assoc' 'mat/andbA'
0. 'coq/Coq_QArith_Qreduction_Qmult_prime_comp' 'mat/le_times'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_ltb_irrefl' 'mat/leb_refl'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_div_1_r' 'mat/div_SO'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_eq_sym'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_pos'#@#variant 'mat/lt_SO_n_to_lt_O_pred_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_ZArith_BinInt_Z_abs_0' 'mat/eq_OZ_Zopp_OZ'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_nonneg_l'#@#variant 'mat/le_exp'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_land_lor_distr_l' 'mat/times_plus_l'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_0_r'#@#variant 'mat/mod_SO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_land_m1_l'#@#variant 'mat/Ztimes_Zone_l'
0. 'coq/Coq_ZArith_Zbool_Zge_cases' 'mat/Z_compare_to_Prop'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_quot_factor'#@#variant 'mat/eq_div_plus'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rmin_left' 'mat/lt_to_eq_mod'
0. 'coq/Coq_QArith_Qreduction_Qred_compare' 'mat/nat_compare_S_S'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_compare_xI_xI' 'mat/nat_compare_S_S'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_max_distr' 'mat/distr_times_plus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_compare_eq' 'mat/same_atom_to_eq'
0. 'coq/Coq_Sets_Uniset_seq_refl' 'mat/incl_A_A'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_2'#@#variant 'mat/A_SSSO'#@#variant
0. 'coq/Coq_NArith_BinNat_N_shiftl_lxor' 'mat/times_exp'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_le_lin'#@#variant 'mat/lt_sqrt_n'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_max_distr' 'mat/distr_times_minus'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_0_l' 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_sub_1_r' 'mat/plus_n_SO'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_nonneg' 'mat/le_SO_fact'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_min_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_sqrt_sqrt_up' 'mat/le_B_A'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_odd_succ' 'mat/pos_n_eq_S_n'
0. 'coq/Coq_Reals_RIneq_Ropp_0_ge_le_contravar'#@#variant 'mat/le_SSO_fact'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_0' 'mat/A_SO'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_nonneg_r'#@#variant 'mat/lt_times_l1'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qcle_antisym' 'mat/le_to_le_to_eq'
0. 'coq/Coq_Reals_Rtrigo_def_exp_0' 'mat/B_SSSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_sub_assoc' 'mat/eq_minus_plus_plus_minus'
0. 'coq/Coq_Arith_Max_max_assoc' 'mat/andbA'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_eq_decidable' 'mat/decidable_eq_nat'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono' 'mat/le_times'
0. 'coq/Coq_QArith_Qabs_Qabs_nonneg'#@#variant 'mat/prime_nth_prime'
0. 'coq/Coq_Numbers_Cyclic_Int31_Ring31_eqb31_correct' 'mat/eqb_true_to_eq'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_2_r'#@#variant 'mat/exp_SSO'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_1_l' 'mat/Ztimes_Zone_l'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_glb_lt' 'mat/divides_plus'
0. 'coq/Coq_Reals_RIneq_Ropp_involutive' 'mat/finv_finv'
0. 'coq/Coq_Reals_RIneq_Rmult_0_r' 'mat/Qtimes_q_OQ'
0. 'coq/Coq_MMaps_MMapPositive_PositiveMap_E_eq_equiv'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_Classes_Morphisms_subrelation_refl' 'mat/incl_A_A'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_le_mono' 'mat/le_to_le_pred'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_eq_equiv'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_eq_trans'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lor_lnot_diag'#@#variant 'mat/rtimes_rinv'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_1_l'#@#variant 'mat/mod_O_n'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_sub_r' 'mat/divides_plus'
0. 'coq/Coq_Reals_Raxioms_Rplus_opp_r' 'mat/Zplus_Zopp'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lnot_ones' 'mat/orb_not_b_b'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mod_small' 'mat/le_to_mod'
0. 'coq/Coq_Arith_PeanoNat_Nat_sub_add' 'mat/plus_minus_m_m'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_2'#@#variant 'mat/B_SSSSO'#@#variant
0. 'coq/Coq_Arith_Plus_plus_lt_compat' 'mat/divides_times'
0. 'coq/Coq_ZArith_BinInt_Z_ltb_irrefl' 'mat/nat_compare_n_n'
0. 'coq/Coq_Reals_Exp_prop_exp_pos' 'mat/le_SO_fact'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftr_land' 'mat/times_exp'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_2'#@#variant 'mat/A_SSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_le_compat_l' 'mat/lt_plus_r'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_nonneg'#@#variant 'mat/lt_O_fact'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lor_m1_l'#@#variant 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_add_distr_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_NArith_BinNat_N_eq_equiv'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_min_distr_l' 'mat/distr_times_minus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_eq_sym'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_refl' 'mat/divides_n_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_0_r' 'mat/Ztimes_z_OZ'
0. 'coq/Coq_ZArith_BinInt_Z_lor_0_l' 'mat/rtimes_one_r'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_nonneg'#@#variant 'mat/lt_O_fact'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_eqb_refl' 'mat/eqb_n_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_0_succ'#@#variant 'mat/not_nf_elim_not/1'
0. 'coq/Coq_PArith_BinPos_Pos_compare_refl' 'mat/eqb_n_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_ldiff_diag' 'mat/bc_n_n'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_divide_reflexive'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div_eucl_spec' 'mat/eqfb_to_Prop'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lor_land_distr_l' 'mat/times_exp'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_nonneg' 'mat/le_SO_fact'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_2'#@#variant 'mat/B_SSSSO'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_wf_0' 'mat/antisymmetric_divides'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_pos'#@#variant 'mat/lt_SO_n_to_lt_O_pred_n'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_sub_add_distr' 'mat/exp_exp_times'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lcm_1_l'#@#variant 'mat/Ztimes_Zone_l'
0. 'coq/Coq_Reals_RIneq_Rdiv_minus_distr' 'mat/times_plus_l'
0. 'coq/Coq_PArith_BinPos_Pos_sqrt_spec' 'mat/AA'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_1_r'#@#variant 'mat/Ztimes_z_OZ'
0. 'coq/Coq_ZArith_BinInt_Z_log2_nonneg'#@#variant 'mat/not_nf_elim_not/0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lor_land_distr_r' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_le_mono' 'mat/le_S_S'
0. 'coq/Coq_Arith_Factorial_fact_le' 'mat/lt_to_lt_S_S'
0. 'coq/Coq_PArith_BinPos_Pos_lt_lt_succ' 'mat/ltW'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_quot_le_mono'#@#variant 'mat/lt_exp1'#@#variant
0. 'coq/Coq_Init_Peano_plus_O_n' 'mat/Ztimes_Zone_l'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_nonneg' 'mat/lt_O_teta'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_le_mono_nonneg_l'#@#variant 'mat/le_log'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_min_distr_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftr_land' 'mat/times_minus_l'
0. 'coq/Coq_NArith_BinNat_N_eq_trans'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_0_l' 'mat/Ztimes_Zone_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_add_distr_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_1'#@#variant 'mat/B_SSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_lt_cancel' 'mat/ltS\''
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_pos'#@#variant 'mat/prime_smallest_factor_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lor_0_l' 'mat/Qtimes_Qone_q'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_ltb_irrefl' 'mat/eqb_n_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_mul_mono_r' 'mat/times_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lxor_0_l' 'mat/Ztimes_Zone_l'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_two_succ'#@#variant 'mat/A_SSSO'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_1'#@#variant 'mat/A_SO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_assoc' 'mat/assoc_plus'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pred_0' 'mat/A_SSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_ldiff_0_l' 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_NArith_BinNat_N_mul_lt_mono' 'mat/lt_plus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_m1'#@#variant 'mat/B_SSSSO'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_land_lor_distr_r' 'mat/distr_times_minus'
0. 'coq/Coq_QArith_Qcanon_Qcmult_plus_distr_r' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Arith_PeanoNat_Nat_land_lor_distr_l' 'mat/times_plus_l'
0. 'coq/Coq_NArith_BinNat_N_gcd_1_r'#@#variant 'mat/times_n_O'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_1_l'#@#variant 'mat/divides_SO_n'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_preorder'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sub_le_mono_r' 'mat/lt_plus_l'
0. 'coq/Coq_ZArith_Zorder_Zlt_le_succ' 'mat/Zlt_to_Zle'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_le_lin' 'mat/le_sqrt_n_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_min_distr_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lcm_mul_mono_r' 'mat/times_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lor_land_distr_r' 'mat/distr_times_minus'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_nonneg'#@#variant 'mat/not_nf_elim_not/1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_2'#@#variant 'mat/A_SSSO'#@#variant
0. 'coq/Coq_ZArith_Int_Z_as_Int_i2z_eq' 'mat/inj_neg'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_pred_l' 'mat/le_pred_n'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_trans' 'mat/trans_lt'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_land_assoc' 'mat/andbA'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lor_assoc' 'mat/andbA'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_divide_mono_l' 'mat/le_plus_r'
0. 'coq/Coq_NArith_BinNat_N_lcm_diag' 'mat/gcd_n_n'
0. 'coq/Coq_ZArith_BinInt_Z_sub_succ_l' 'mat/Zplus_Zpred'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_max_distr_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lor_0_l' 'mat/rtimes_one_r'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_T_OMEGA15_stable' 'mat/injective_nth_prime'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_eq_refl'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_le_lin' 'mat/le_smallest_factor_n'
0. 'coq/Coq_FSets_FMapPositive_append_neutral_l' 'mat/Qtimes_Qone_q'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_compare_refl' 'mat/eqb_n_n'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_pred_l' 'mat/le_sqrt_n_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_preorder'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_compare_xI_xI' 'mat/nat_compare_S_S'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_assoc' 'mat/andbA'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_opp_r' 'mat/plus_n_Sm'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_le_mono' 'mat/lt_to_lt_S_S'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_eq_1_r' 'mat/eq_plus_n_m_O_to_eq_m_O'
0. 'coq/Coq_QArith_Qcanon_Qcplus_opp_r'#@#variant 'mat/rtimes_rinv'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_add_distr_l' 'mat/distr_times_plus'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_eq_trans'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_0_r' 'mat/times_n_O'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_1' 'mat/A_SO'
0. 'coq/Coq_PArith_BinPos_Pcompare_refl'#@#variant 'mat/nat_compare_n_n'
0. 'coq/Coq_Reals_RIneq_Rdiv_plus_distr' 'mat/times_exp'
0. 'coq/Coq_PArith_BinPos_Pos_mul_le_mono' 'mat/lt_plus'
0. 'coq/Coq_Reals_Rminmax_R_max_le_compat' 'mat/le_times'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_1' 'mat/A_SO'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_pos'#@#variant 'mat/sieve_sorted'#@#variant
0. 'coq/Coq_Reals_R_sqrt_sqrt_lt_0_alt' 'mat/le_S_S_to_le'
0. 'coq/Coq_Arith_PeanoNat_Nat_leb_refl' 'mat/ltb_refl'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_ge_cases' 'mat/not_le_to_lt'
0. 'coq/Coq_NArith_BinNat_N_gcd_eq_0_l' 'mat/andb_true_true'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lxor_0_l' 'mat/gcd_O_n'
0. 'coq/Coq_NArith_BinNat_N_add_pos_r' 'mat/lt_O_gcd'
0. 'coq/Coq_PArith_BinPos_Pos_eqb_refl' 'mat/ltb_refl'
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_0' 'mat/A_SSO'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_nle_succ_diag_l' 'mat/not_le_Sn_n'
0. 'coq/Coq_PArith_BinPos_Pos_add_reg_l' 'mat/inj_plus_r'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lor_0_l' 'mat/Ztimes_Zone_l'
0. 'coq/Coq_Arith_Compare_dec_leb_complete' 'mat/divides_b_true_to_divides'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tmult_assoc_reduced_stable' 'mat/injective_nth_prime'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_transitive'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lxor_assoc' 'mat/andbA'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_eq_trans'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zmult_lt_reg_r'#@#variant 'mat/lt_times_n_to_lt'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qle_shift_div_l'#@#variant 'mat/divides_times_to_divides_div'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_land_diag' 'mat/orb_refl'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_ltb_irrefl' 'mat/ltb_refl'
0. 'coq/Coq_FSets_FMapPositive_append_neutral_l' 'mat/rtimes_one_r'
0. 'coq/Coq_Arith_Min_le_min_l' 'mat/divides_gcd_n'
0. 'coq/Coq_Reals_Raxioms_Rplus_0_l' 'mat/gcd_O_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftr_land' 'mat/times_exp'
0. 'coq/Coq_NArith_Ndist_Npdist_eq_2' 'mat/same_atom_to_eq'
0. 'coq/Coq_ZArith_BinInt_Z_mul_le_mono_nonneg_l'#@#variant 'mat/lt_exp'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_land_0_r' 'mat/Qtimes_q_OQ'
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_add_r' 'mat/divides_plus'
0. 'coq/Coq_QArith_Qcanon_Qcle_trans' 'mat/trans_lt'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_nonneg'#@#variant 'mat/not_nf_elim_not/0'
0. 'coq/Coq_PArith_BinPos_Pos_min_le_compat' 'mat/lt_times'
0. 'coq/Coq_ZArith_BinInt_Zmult_0_r_reverse' 'mat/Qtimes_q_OQ'
0. 'coq/Coq_ZArith_BinInt_Z_lnot_0'#@#variant 'mat/B_SSSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_neq_succ_diag_r' 'mat/not_eq_n_Sn'
0. 'coq/Coq_NArith_BinNat_N_sqrtrem_spec' 'mat/primeb_to_Prop'
0. 'coq/Coq_ZArith_Zbool_Zeq_bool_if' 'mat/eqZb_to_Prop'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_land_lor_distr_r' 'mat/distr_times_minus'
0. 'coq/Coq_Arith_PeanoNat_Nat_lcm_mul_mono_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_succ_le' 'mat/times_SSO_pred'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_nonneg'#@#variant 'mat/lt_O_fact'#@#variant
0. 'coq/Coq_NArith_BinNat_N_log2_up_nonneg' 'mat/le_SO_fact'#@#variant
0. 'coq/Coq_NArith_BinNat_N_max_le_compat_l' 'mat/lt_plus_r'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_eqb_refl' 'mat/nat_compare_n_n'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_l' 'mat/lt_to_eq_mod'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_1_l'#@#variant 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_le_mono' 'mat/divides_times'
0. 'coq/Coq_ZArith_Znumtheory_Zgcd_ass' 'mat/andbA'
0. 'coq/Coq_ZArith_Zbool_Zlt_cases' 'mat/R'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono' 'mat/divides_times'
0. 'coq/Coq_PArith_BinPos_Pos_mul_min_distr_l' 'mat/distr_times_minus'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_xO' 'mat/Zopp_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_lt_lin'#@#variant 'mat/lt_sqrt_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_neq_succ_diag_l' 'mat/not_eq_n_Sn'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_land_assoc' 'mat/andb_assoc'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_div_eucl' 'mat/R'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_l' 'mat/lt_to_eq_mod'
0. 'coq/Coq_Arith_PeanoNat_Nat_div_small' 'mat/eq_div_O'
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_le_lin'#@#variant 'mat/lt_sqrt_n'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lor_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_add_distr_r' 'mat/times_exp'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_0_succ'#@#variant 'mat/lt_O_nth_prime_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_two_succ'#@#variant 'mat/B_SSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_2'#@#variant 'mat/B_SSSSO'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lor_0_l' 'mat/Ztimes_Zone_l'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_b2n_inj' 'mat/inj_neg'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lcm_mul_mono_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Reals_RIneq_Rmult_le_reg_l'#@#variant 'mat/le_exp_to_le'#@#variant
0. 'coq/Coq_Arith_Plus_plus_is_O' 'mat/and_true'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_le_mono' 'mat/lt_to_lt_S_S'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_nonneg'#@#variant 'mat/lt_SO_nth_prime_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_pred_l' 'mat/Zplus_Zsucc'
0. 'coq/Coq_ZArith_BinInt_Z_opp_max_distr' 'mat/demorgan2'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_nonneg'#@#variant 'mat/lt_O_fact'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_le_mono' 'mat/le_pred'
0. 'coq/Coq_Arith_PeanoNat_Nat_lcm_0_l' 'mat/mod_O_n'
0. 'coq/Coq_Reals_Raxioms_Rmult_1_l' 'mat/gcd_O_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftl_lor' 'mat/times_plus_l'
0. 'coq/Coq_MMaps_MMapPositive_PositiveMap_E_eq_equiv'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_mul_l' 'mat/times_plus_l'
0. 'coq/Coq_Arith_PeanoNat_Nat_pred_0' 'mat/A_SSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_le_lt_mono' 'mat/le_to_lt_to_plus_lt'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_succ_inj' 'mat/inj_S'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_inj' 'mat/inj_S'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_land_diag' 'mat/orb_refl'
0. 'coq/Coq_NArith_BinNat_N_mul_add_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_QArith_Qminmax_Q_min_le_compat_r' 'mat/le_times_l'
0. 'coq/Coq_ZArith_BinInt_Z_log2_nonneg'#@#variant 'mat/lt_O_nth_prime_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_le_succ_r' 'mat/ltW'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_max_distr_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_pos' 'mat/lt_O_nth_prime_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_add_distr_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_ZArith_BinInt_Zsucc_pred' 'mat/Zsucc_Zpred'
0. 'coq/Coq_Arith_PeanoNat_Nat_sub_le_mono_r' 'mat/lt_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_decidable' 'mat/decidable_le'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_nonneg' 'mat/lt_O_nth_prime_n'
0. 'coq/Coq_PArith_BinPos_Pos_lt_1_succ' 'mat/le_SO_fact'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_assoc' 'mat/andb_assoc'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sub_le_mono_r' 'mat/lt_plus_l'
0. 'coq/Coq_Reals_RIneq_cond_nonneg'#@#variant 'mat/sieve_sorted'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_min_distr_l' 'mat/distr_times_plus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_0_l' 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_eqb_refl' 'mat/ltb_refl'
0. 'coq/Coq_Reals_Rtrigo1_cos_pi2' 'mat/B_SSSO'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_shiftr_lxor' 'mat/times_exp'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_compare_refl' 'mat/eqb_n_n'
0. 'coq/Coq_NArith_BinNat_N_divide_antisym' 'mat/antisym_le'
0. 'coq/Coq_Arith_PeanoNat_Nat_land_0_l' 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_1_l'#@#variant 'mat/rtimes_one_r'
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_nonneg' 'mat/le_SO_fact'#@#variant
0. 'coq/Coq_Reals_Ratan_atan_right_inv' 'mat/Zsucc_Zpred'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_land_lor_distr_l' 'mat/times_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_le_compat_l' 'mat/lt_plus_r'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_sub_distr_l' 'mat/distr_times_minus'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_le_mono' 'mat/ltS'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_trans' 'mat/trans_le'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_0' 'mat/A_SSO'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_is_nonneg'#@#variant 'mat/sieve_sorted'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mod_1_r'#@#variant 'mat/bc_n_O'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lor_diag' 'mat/orb_refl'
0. 'coq/Coq_Reals_RIneq_Rmult_le_compat_r' 'mat/lt_exp1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_le_mono' 'mat/lt_to_lt_S_S'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ltb_irrefl' 'mat/nat_compare_n_n'
0. 'coq/Coq_NArith_BinNat_N_shiftr_0_l' 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_NArith_BinNat_N_max_0_l' 'mat/gcd_O_n'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_spec_prime/0' 'mat/leq_sqrt_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lcm_assoc' 'mat/andbA'
0. 'coq/Coq_ZArith_BinInt_Z_lcm_0_l' 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_max_distr_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_ZArith_BinInt_Z_gcd_div_factor'#@#variant 'mat/eq_gcd_div_div_div_gcd'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_glb' 'mat/divides_minus'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_1_l' 'mat/mod_O_n'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_of_pos' 'mat/numerator_nat_fact_to_fraction'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_le_incl' 'mat/lt_to_le'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_transitive'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_Reals_RIneq_Rdiv_minus_distr' 'mat/times_minus_l'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_sub_mask_diag' 'mat/nat_compare_n_n'
0. 'coq/Coq_NArith_BinNat_N_divide_trans' 'mat/trans_le'
0. 'coq/Coq_Reals_RIneq_Rmult_le_compat_l'#@#variant 'mat/lt_exp'#@#variant
0. 'coq/Coq_ZArith_Zdiv_Zmod_1_r'#@#variant 'mat/bc_n_O'#@#variant
0. 'coq/Coq_FSets_FSetPositive_PositiveSet_subset_2' 'mat/divides_b_true_to_divides'
0. 'coq/Coq_Reals_ROrderedType_R_as_DT_eq_equiv'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lcm_0_r' 'mat/Ztimes_z_OZ'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mod_1_r'#@#variant 'mat/bc_n_O'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_lt_mono' 'mat/le_plus'
0. 'coq/Coq_Arith_PeanoNat_Nat_sub_min_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_glb' 'mat/divides_minus'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_min_distr_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_ZArith_Zeven_Zeven_pred' 'mat/lt_SO_n_to_lt_O_pred_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_factor_l' 'mat/le_plus_n_r'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_add_distr_l' 'mat/distr_times_plus'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_trans' 'mat/trans_le'
0. 'coq/Coq_Reals_RIneq_Ropp_plus_distr' 'mat/Qinv_Qtimes\''
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_eqb_refl' 'mat/leb_refl'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_lt_lin'#@#variant 'mat/lt_sqrt_n'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_le_mono' 'mat/le_pred'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_sqrt_sqrt_up' 'mat/le_B_A'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_le_mono' 'mat/le_pred'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lcm_1_l'#@#variant 'mat/gcd_O_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_le_lin'#@#variant 'mat/divides_smallest_factor_n'#@#variant
0. 'coq/Coq_ZArith_Zdiv_Zmult_mod_distr_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_assoc' 'mat/andb_assoc'
0. 'coq/Coq_ZArith_BinInt_Z_lt_pred_l' 'mat/le_pred_n'
0. 'coq/Coq_NArith_BinNat_N_mul_lt_mono' 'mat/le_plus'
0. 'coq/Coq_Reals_RIneq_cond_nonzero' 'mat/not_eq_denominator_nfa_zero'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_gt_lin_r'#@#variant 'mat/lt_m_exp_nm'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_ggcd_correct_divisors' 'mat/ltb_to_Prop'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_nonneg' 'mat/lt_O_S'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_1_l'#@#variant 'mat/Qtimes_Qone_q'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_neq_succ_0' 'mat/not_eq_O_S'
0. 'coq/Coq_Reals_Rbasic_fun_Rmax_assoc' 'mat/assoc_plus'
0. 'coq/Coq_NArith_BinNat_N_divide_reflexive'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sub_max_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lcm_diag' 'mat/gcd_n_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_2'#@#variant 'mat/B_SSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_lt_mono' 'mat/le_times'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_min_distr' 'mat/distr_times_minus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mod_1_r'#@#variant 'mat/bc_n_O'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_log2_nonneg'#@#variant 'mat/lt_O_fact'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_mul_mono_r' 'mat/times_minus_l'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_1_r'#@#variant 'mat/Ztimes_z_OZ'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_eq_equiv'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_Reals_Rpower_arcsinh_sinh' 'mat/Zpred_Zsucc'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tred_factor2_stable' 'mat/increasing_nth_prime'
0. 'coq/Coq_ZArith_BinInt_Z_abs_nonneg'#@#variant 'mat/lt_O_fact'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_succ_l' 'mat/lt_S_to_lt'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_le_mono' 'mat/divides_times'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_succ_inj' 'mat/ltS\''
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_eq_trans'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_divide_mono_r' 'mat/le_times_l'
0. 'coq/Coq_Numbers_Cyclic_Int31_Ring31_Int31ring_eqb_correct' 'mat/divides_b_true_to_divides'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_l2i_i2l'#@#variant 'mat/factorize_defactorize'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_sqrt_spec' 'mat/Magma_OF_finite_enumerable_SemiGroup'
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_nonneg_r'#@#variant 'mat/lt_times_l1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_preorder'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_m1'#@#variant 'mat/B_SSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_add_pos_l' 'mat/le_times_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_1'#@#variant 'mat/A_SO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_ge_cases' 'mat/not_lt_to_le'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_succ_diag_r' 'mat/le_n_fact_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_log2_log2_up' 'mat/le_B_A'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tred_factor5_stable' 'mat/monotonic_A'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_id' 'mat/gcd_n_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lor_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_ZArith_BinInt_Z_le_pred_l' 'mat/le_smallest_factor_n'
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_nonneg'#@#variant 'mat/lt_O_nth_prime_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_transitive'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_le_mono' 'mat/le_to_le_pred'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lxor_assoc' 'mat/assoc_times'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_sqrt_spec' 'mat/num'
0. 'coq/Coq_Arith_PeanoNat_Nat_nle_succ_0' 'mat/not_le_Sn_O'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_trans' 'mat/trans_lt'
0. 'coq/Coq_ZArith_Zeven_Zeven_pred' 'mat/prime_smallest_factor_n'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_nonneg'#@#variant 'mat/prime_nth_prime'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_le_mono' 'mat/ltS'
0. 'coq/Coq_PArith_BinPos_Pos_sub_succ_r' 'mat/eq_minus_S_pred'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_factor_r' 'mat/le_plus_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_nonneg' 'mat/lt_O_nth_prime_n'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_1_l' 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_land_assoc' 'mat/andb_assoc'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lcm_0_l' 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_le_compat_l' 'mat/lt_plus_r'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_le_succ_r' 'mat/ltW'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_lt_mono' 'mat/le_times'
0. 'coq/Coq_QArith_Qcanon_Qcnot_lt_le' 'mat/not_le_to_lt'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_eq_refl'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_eqb_refl' 'mat/leb_refl'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_le_compat' 'mat/le_plus'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lcm_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_le_lin'#@#variant 'mat/divides_smallest_factor_n'#@#variant
0. 'coq/Coq_NArith_BinNat_N_log2_le_mono' 'mat/le_pred'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_le_mono' 'mat/lt_times'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_T_OMEGA16_stable' 'mat/increasing_nth_prime'
0. 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_plus_le_compat' 'mat/divides_times'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_pred' 'mat/Zsucc_Zpred'
0. 'coq/Coq_Arith_PeanoNat_Nat_ltb_irrefl' 'mat/ltb_refl'
0. 'coq/Coq_Reals_Rbasic_fun_Rmin_l' 'mat/divides_gcd_nm/1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_involutive' 'mat/Zopp_Zopp'
0. 'coq/Coq_QArith_Qcanon_Qcmult_assoc' 'mat/assoc_times'
0. 'coq/Coq_QArith_Qcanon_Q_apart_0_1'#@#variant 'mat/not_eq_true_false'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_eq_0_r' 'mat/eq_plus_n_m_O_to_eq_m_O'
0. 'coq/Coq_Reals_Rpower_Rpower_mult' 'mat/exp_exp_times'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftl_ldiff' 'mat/times_exp'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_le_mono' 'mat/le_to_le_pred'
0. 'coq/Coq_Bool_Bool_andb_negb_r' 'mat/rtimes_rinv'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lcm_1_l' 'mat/Zsucc_Zplus_pos_O'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_double_twice'#@#variant 'mat/eq_B_B1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lcm_diag' 'mat/gcd_n_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_assoc' 'mat/andb_assoc'
0. 'coq/Coq_NArith_BinNat_N_log2_up_lt_cancel' 'mat/lt_S_S_to_lt'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftl_ldiff' 'mat/times_plus_l'
0. 'coq/Coq_ZArith_BinInt_Z_add_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_reflexive'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_eq_mul_m1'#@#variant 'mat/plus_n_SO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_max_distr_l' 'mat/distr_times_minus'
0. 'coq/Coq_ZArith_BinInt_Zminus_diag_reverse' 'mat/bc_n_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lor_m1_l'#@#variant 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_reflexive'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tminus_def_stable' 'mat/increasing_nth_prime'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_eq'#@#variant 'mat/prime_to_smallest_factor'
0. 'coq/Coq_Structures_OrdersEx_PositiveOrderedTypeBits_lt_strorder'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_lt_1_succ' 'mat/lt_O_nth_prime_n'
0. 'coq/Coq_NArith_BinNat_N_sub_add_distr' 'mat/exp_exp_times'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_succ_l' 'mat/Zplus_Zsucc'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_sub_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_FSets_FSetPositive_PositiveSet_subset_1' 'mat/le_to_leb_true'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_glb_lt' 'mat/divides_minus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_involutive' 'mat/Qinv_Qinv'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_le_mono' 'mat/le_times'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_mul_l' 'mat/times_minus_l'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_pos'#@#variant 'mat/prime_smallest_factor_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_lt_mono' 'mat/le_plus'
0. 'coq/Coq_NArith_BinNat_N_lcm_0_l' 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_neq' 'mat/lt_to_not_eq'
0. 'coq/Coq_ZArith_BinInt_Z_add_lt_mono' 'mat/le_times'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_sqrt_up_succ_sqrt' 'mat/le_teta'#@#variant
0. 'coq/Coq_Reals_RIneq_Rmult_le_reg_l'#@#variant 'mat/lt_times_to_lt'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_sqrt_spec' 'mat/segment_finType'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_leb_refl' 'mat/nat_compare_n_n'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_1_l' 'mat/gcd_O_n'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_spec_is_even' 'mat/AA'
0. 'coq/Coq_Reals_Rtrigo1_PI_neq0' 'mat/not_eq_true_false'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_1_r' 'mat/Qtimes_q_OQ'
0. 'coq/Coq_NArith_BinNat_N_eq_refl'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_max_distr_r' 'mat/times_exp'
0. 'coq/Coq_QArith_QArith_base_Qnot_le_lt' 'mat/not_lt_to_le'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ldiff_diag' 'mat/minus_n_n'
0. 'coq/Coq_NArith_BinNat_N_le_sub_l' 'mat/divides_gcd_nm/1'
0. 'coq/Coq_Reals_Rtrigo_def_cos_0' 'mat/A_SSSO'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_min_assoc' 'mat/assoc_times'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mod_1_r'#@#variant 'mat/mod_SO'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_le_lt_mono' 'mat/le_to_lt_to_plus_lt'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_0'#@#variant 'mat/B_SSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_add' 'mat/minus_plus_m_m'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sub_min_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_add_pos_l'#@#variant 'mat/lt_m_exp_nm'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_eq_equiv'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_FSets_FSetPositive_PositiveSet_E_bits_lt_trans' 'mat/trans_le'
0. 'coq/Coq_Arith_Div2_lt_div2'#@#variant 'mat/divides_smallest_factor_n'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zmult_le_compat_l'#@#variant 'mat/lt_exp'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_eq_sym'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_greatest' 'mat/divides_plus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_quotrem_eq' 'mat/Z_compare_to_Prop'
0. 'coq/Coq_Reals_Rbasic_fun_Rle_abs' 'mat/lt_n_nth_prime_n'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_trans' 'mat/trans_divides'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_max_distr_r' 'mat/times_exp'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_le_mono' 'mat/ltS'
0. 'coq/Coq_NArith_BinNat_N_log2_up_lt_cancel' 'mat/le_S_S_to_le'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftl_0_l' 'mat/mod_O_n'
0. 'coq/Coq_PArith_BinPos_Pos_le_1_l' 'mat/le_O_n'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_succ_r' 'mat/times_n_Sm'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_le_mono' 'mat/le_to_le_pred'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_land_diag' 'mat/gcd_n_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_mul_l' 'mat/times_plus_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrtrem_spec' 'mat/pregroup'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_sub_decr' 'mat/divides_div'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_decidable' 'mat/decidable_le'
0. 'coq/Coq_NArith_BinNat_N_pow_succ_r_prime' 'mat/times_n_Sm'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tmult_assoc_r_stable' 'mat/monotonic_A'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_antisymm' 'mat/antisym_le'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_min_r' 'mat/divides_gcd_m'
0. 'coq/Coq_QArith_QArith_base_Q_Setoid'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_land_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_IsTO_lt_strorder'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_NArith_BinNat_N_le_antisymm' 'mat/antisym_le'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_strorder'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mod_small' 'mat/le_to_mod'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_ge_cases' 'mat/not_lt_to_le'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftl_land' 'mat/times_minus_l'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_gcd_divide_r' 'mat/divides_gcd_m'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_le_lin' 'mat/le_sqrt_n_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_shuffle1' 'mat/ab_times_cd'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_nonneg'#@#variant 'mat/lt_O_nth_prime_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lxor_assoc' 'mat/assoc_plus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_le_mono_nonneg_r' 'mat/lt_exp1'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_le_compat' 'mat/le_plus'
0. 'coq/__constr_Coq_Classes_Morphisms_PartialApplication_0_1' 'mat/daemon0'
0. 'coq/Coq_Reals_RIneq_Rmult_le_reg_r'#@#variant 'mat/lt_exp_to_lt1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_sub_distr_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_0_succ' 'mat/le_SO_fact'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_le_compat' 'mat/le_plus'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_le_mono' 'mat/ltS'
0. 'coq/Coq_ZArith_BinInt_Z_quot_le_mono'#@#variant 'mat/lt_times_l1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_eq_mul_0_r' 'mat/eq_Qtimes_OQ_to_eq_OQ'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_pos_l' 'mat/lt_O_exp'
0. 'coq/Coq_MMaps_MMapPositive_PositiveMap_lt_rev_append' 'mat/le_plus_r'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_reduce_stable' 'mat/injective_S'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lt_0_succ'#@#variant 'mat/prime_nth_prime'
0. 'coq/Coq_Bool_Bool_eqb_negb1' 'mat/orb_not_b_b'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_pos_r'#@#variant 'mat/lt_O_gcd'#@#variant
0. 'coq/Coq_Arith_Min_min_assoc' 'mat/assoc_times'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_transitive'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_ZArith_Znumtheory_rel_prime_div' 'mat/le_to_lt_to_lt'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lxor_assoc' 'mat/andb_assoc'
0. 'coq/Coq_NArith_BinNat_N_pow_mul_l' 'mat/times_plus_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_lt_lin'#@#variant 'mat/divides_smallest_factor_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_lt_lin'#@#variant 'mat/divides_smallest_factor_n'#@#variant
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_IsTO_lt_strorder'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lor_0_l' 'mat/gcd_O_n'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_lt_mono' 'mat/le_times'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_succ_max_distr' 'mat/Qinv_Qtimes\''
0. 'coq/Coq_NArith_BinNat_N_mul_sub_distr_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrtrem_spec' 'mat/premonoid0'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_sqrt_spec' 'mat/premonoid0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_pred_l' 'mat/le_smallest_factor_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lcm_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_Reals_RIneq_Rmult_gt_reg_l'#@#variant 'mat/lt_exp_to_lt'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_lt_lin'#@#variant 'mat/divides_smallest_factor_n'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_le_mono' 'mat/lt_times'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_pred_l' 'mat/le_smallest_factor_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_nle_succ_diag_l' 'mat/not_le_Sn_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftl_lxor' 'mat/times_plus_l'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lor_land_distr_r' 'mat/distr_times_plus'
0. 'coq/Coq_NArith_Ndist_ni_min_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_FSets_FSetPositive_PositiveSet_E_bits_lt_trans' 'mat/trans_lt'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_eq_refl'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_diag' 'mat/orb_refl'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_eq_sym'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_shiftr_0_l' 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftl_ldiff' 'mat/times_exp'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_nonneg'#@#variant 'mat/not_nf_elim_not/1'
0. 'coq/Coq_Numbers_Cyclic_Int31_Ring31_Int31ring_eqb_correct' 'mat/leb_true_to_le'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftl_ldiff' 'mat/times_plus_l'
0. 'coq/Coq_PArith_BinPos_Pos_le_max_r' 'mat/le_plus_n'
0. 'coq/Coq_ZArith_Zquot_Zquot_Zquot' 'mat/eq_minus_minus_minus_plus'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ldiff_0_l' 'mat/mod_O_n'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_ggcd_greatest' 'mat/ltb_to_Prop'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_neq_succ_diag_r' 'mat/not_eq_n_Sn'
0. 'coq/Coq_Reals_Rbasic_fun_Rmin_assoc' 'mat/assoc_times'
0. 'coq/Coq_ZArith_BinInt_Z_eq_sym'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_Arith_Minus_pred_of_minus'#@#variant 'mat/plus_n_SO'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_le_mono' 'mat/le_pred'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_add_distr_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_gcd_divide_l' 'mat/divides_gcd_nm/1'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_add_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sub_0_l' 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_Bool_Bool_orb_assoc' 'mat/assoc_plus'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_digits/0'#@#variant 'mat/sieve_sorted'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_id' 'mat/gcd_n_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ggcd_correct_divisors' 'mat/eqfb_to_Prop'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_eq_sym'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_eqb_refl' 'mat/nat_compare_n_n'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_leb_refl' 'mat/leb_refl'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_divide_mono_l' 'mat/lt_plus_r'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_preorder'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_divide/0' 'mat/le_minus_m'
0. 'coq/Coq_NArith_BinNat_N_gcd_assoc' 'mat/andb_assoc'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_neq_succ_diag_l' 'mat/not_eq_n_Sn'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_add_le_sub_r' 'mat/le_minus_to_plus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_inj' 'mat/inj_S'
0. 'coq/Coq_ZArith_BinInt_Z_gcd_assoc' 'mat/assoc_plus'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_divide_trans' 'mat/trans_divides'
0. 'coq/Coq_NArith_BinNat_N_eq_trans'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_land_0_r' 'mat/times_n_O'
0. 'coq/Coq_ZArith_BinInt_Z_shiftl_lor' 'mat/times_plus_l'
0. 'coq/Coq_Reals_RIneq_Rmult_lt_compat_r' 'mat/lt_times_l1'
0. 'coq/Coq_Arith_PeanoNat_Nat_min_le_compat_r' 'mat/lt_plus_l'
0. 'coq/Coq_ZArith_Zpower_two_power_pos_nat' 'mat/numerator_nat_fact_to_fraction'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_land_0_l' 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_Reals_Rtrigo_def_cos_0' 'mat/B_SSSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_0_succ' 'mat/le_SO_fact'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_assoc' 'mat/andbA'
0. 'coq/Coq_Classes_RelationClasses_eq_Reflexive' 'mat/symmetric_eq'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lor_assoc' 'mat/assoc_plus'
0. 'coq/Coq_Reals_RIneq_Rplus_lt_compat_r' 'mat/lt_plus_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_nonneg'#@#variant 'mat/lt_O_teta'#@#variant
0. 'coq/Coq_NArith_BinNat_N_divide_factor_r' 'mat/le_plus_n'
0. 'coq/Coq_NArith_Ndist_ni_le_min_1' 'mat/le_minus_m'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_land_lnot_diag' 'mat/Zplus_Zopp'
0. 'coq/Coq_NArith_BinNat_N_pred_le_mono' 'mat/le_pred'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_le_compat' 'mat/le_times'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_le_compat_r' 'mat/le_times_l'
0. 'coq/Coq_ZArith_BinInt_Z_ldiff_diag' 'mat/minus_n_n'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_eq_equiv'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_2'#@#variant 'mat/B_SSSO'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_even_aux' 'mat/Magma_OF_finite_enumerable_SemiGroup'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_nonneg'#@#variant 'mat/not_nf_elim_not/0'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_1_r' 'mat/times_n_O'
0. 'coq/Coq_ZArith_Znat_Zabs2Nat_inj_pos' 'mat/numerator_nat_fact_to_fraction'
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_le_lin'#@#variant 'mat/divides_smallest_factor_n'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_one_succ'#@#variant 'mat/B_SSSSO'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_le_compat_r' 'mat/le_plus_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div_eucl_spec' 'mat/nat_compare_to_Prop'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_max_distr' 'mat/distr_times_plus'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_1_l' 'mat/le_O_n'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_mul_r' 'mat/eq_minus_minus_minus_plus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_eq_refl'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_land_lor_distr_l' 'mat/times_minus_l'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_carry_reg_r' 'mat/inj_plus_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_eq_sym'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_pow2'#@#variant 'mat/S_pred'#@#variant
0. 'coq/Coq_Reals_ROrderedType_ROrder_TO_eq_equiv'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_NArith_BinNat_N_min_max_distr' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_ZArith_Zquot_Z_rem_same' 'mat/minus_n_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lxor_lnot_lnot' 'mat/minus_S_S'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_min_distr_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_le_compat_r' 'mat/le_plus_l'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_max_distr' 'mat/distr_times_plus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_ge_cases' 'mat/not_le_to_lt'
0. 'coq/Coq_ZArith_Znumtheory_Zdivide_Zgcd' 'mat/divides_minus'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_le_mono' 'mat/le_to_le_pred'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_ldiff_0_l' 'mat/mod_O_n'
0. 'coq/Coq_Reals_R_sqr_Rsqr_1' 'mat/eq_OZ_Zopp_OZ'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_lt_mono' 'mat/lt_plus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_0_l' 'mat/gcd_O_n'
0. 'coq/Coq_Reals_RIneq_Rplus_gt_compat_l' 'mat/le_plus_r'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_nonneg' 'mat/lt_O_S'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_max_distr' 'mat/distr_times_minus'
0. 'coq/Coq_Reals_RIneq_Rplus_gt_compat_l' 'mat/le_times_r'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lxor_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftr_ldiff' 'mat/times_minus_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lor_land_distr_r' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_of_Qc' 'mat/factorize_defactorize'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_antisymm' 'mat/antisym_le'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_max_distr_l' 'mat/distr_times_plus'
0. 'coq/Coq_NArith_BinNat_N_add_assoc' 'mat/assoc_times'
0. 'coq/Coq_Arith_Le_le_S_n' 'mat/ltS\''
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ldiff_diag' 'mat/minus_n_n'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_divide_mono_l' 'mat/le_times_r'
0. 'coq/Coq_ZArith_Zeven_Zeven_2p'#@#variant 'mat/prime_nth_prime'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tred_factor3_stable' 'mat/injective_nth_prime'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_add_distr_r' 'mat/times_exp'
0. 'coq/Coq_PArith_BinPos_Pos_leb_refl' 'mat/leb_refl'
0. 'coq/Coq_ZArith_BinInt_Z_max_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_le_mono' 'mat/le_S_S'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_le_mono' 'mat/le_S_S'
0. 'coq/Coq_Reals_Rpower_Rpower_plus' 'mat/exp_plus_times'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lor_land_distr_l' 'mat/times_minus_l'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ldiff_0_l' 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lor_0_l' 'mat/Qtimes_Qone_q'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sub_succ_r' 'mat/eq_minus_S_pred'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_lt_mono' 'mat/lt_times'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_sub_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_nonneg' 'mat/le_SO_fact'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_0_l' 'mat/divides_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_land_m1_l'#@#variant 'mat/gcd_O_n'
0. 'coq/Coq_NArith_BinNat_N_sqrtrem_spec' 'mat/premonoid'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_min_l' 'mat/divides_gcd_n'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_land_0_l' 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tplus_permute_stable' 'mat/monotonic_A'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_0_succ'#@#variant 'mat/prime_nth_prime'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_reduce_lhyps_valid'#@#variant 'mat/monotonic_sqrt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_le_lin'#@#variant 'mat/lt_sqrt_n'#@#variant
0. 'coq/Coq_Bool_Bool_orb_prop' 'mat/times_O_to_O'
0. 'coq/Coq_ZArith_BinInt_Z_lxor_lnot_lnot' 'mat/minus_S_S'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_1_r' 'mat/Ztimes_z_OZ'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_le_compat_l' 'mat/le_plus_r'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_1'#@#variant 'mat/A_SSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_nonneg_r' 'mat/lt_times_l1'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_opp_norm' 'mat/lt_O_smallest_factor'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_pred_succ' 'mat/Zsucc_Zpred'
0. 'coq/Coq_ZArith_Zdiv_Zmod_le'#@#variant 'mat/divides_ord_rem'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_eq_trans'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_eq_equiv'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_nonneg' 'mat/lt_O_S'
0. 'coq/Coq_ZArith_BinInt_Z_lt_neq' 'mat/eq_to_not_lt'
0. 'coq/Coq_ZArith_Zbool_Zle_cases' 'mat/eqfb_to_Prop'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_0_r' 'mat/Qtimes_q_OQ'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lor_land_distr_r' 'mat/distr_times_minus'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_nonneg'#@#variant 'mat/not_nf_elim_not/1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_lt_cancel' 'mat/ltS\''
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_trans' 'mat/trans_divides'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_of_Q' 'mat/numeratorQ_nat_fact_all_to_Q'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_spec_prime/0' 'mat/leq_sqrt_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_double_add' 'mat/Zopp_Zplus'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftl_lxor' 'mat/times_plus_l'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_div_eucl' 'mat/eqfb_to_Prop'
0. 'coq/Coq_NArith_BinNat_N_ldiff_0_l' 'mat/mod_O_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_land_lor_distr_l' 'mat/times_exp'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_mul_mono_r' 'mat/times_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_0_succ' 'mat/lt_O_S'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftr_0_l' 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_compare_eq' 'mat/same_atom_to_eq'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_eq_sym'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_nonneg' 'mat/le_SO_fact'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_le_compat' 'mat/divides_times'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lor_0_l' 'mat/rtimes_one_r'
0. 'coq/Coq_Structures_OrdersEx_PositiveOrderedTypeBits_lt_strorder'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_antisym' 'mat/antisym_le'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_land_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_MSets_MSetPositive_PositiveSet_E_bits_lt_trans' 'mat/trans_divides'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lnot_ones' 'mat/minus_Sn_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lxor_0_l' 'mat/Ztimes_Zone_l'
0. 'coq/Coq_Arith_Min_plus_min_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_Bool_Bool_negb_involutive_reverse' 'mat/opposite_direction_idempotent'
0. 'coq/Coq_ZArith_BinInt_Z_gcd_eq_0_r' 'mat/eq_plus_n_m_O_to_eq_m_O'
0. 'coq/Coq_ZArith_BinInt_Z_opp_add_distr' 'mat/Zopp_Zplus'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_land_lor_distr_r' 'mat/distr_times_plus'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_add_distr_r' 'mat/times_exp'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sub_le_mono_r' 'mat/le_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_trans' 'mat/trans_lt'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_nonneg'#@#variant 'mat/lt_O_fact'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_0_succ' 'mat/lt_O_nth_prime_n'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_le_compat' 'mat/divides_times'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_sub_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_Reals_RIneq_Rplus_gt_compat_r' 'mat/le_plus_l'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_lt_cancel' 'mat/lt_S_S_to_lt'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_max_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_Reals_RIneq_Rplus_gt_compat_r' 'mat/le_times_l'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_carry_reg_l' 'mat/inj_plus_r'
0. 'coq/Coq_ZArith_BinInt_Z_log2_pos'#@#variant 'mat/le_SSO_fact'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_ltb_irrefl' 'mat/leb_refl'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_nonneg'#@#variant 'mat/lt_O_teta'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_le_mono_nonneg_r'#@#variant 'mat/lt_times_l1'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_le_mono' 'mat/lt_plus'
0. 'coq/Coq_NArith_BinNat_N_min_id' 'mat/orb_refl'
0. 'coq/Coq_Reals_RList_RList_P2' 'mat/lt_O_gcd'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_mul_r' 'mat/exp_exp_times'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftl_lor' 'mat/times_exp'
0. 'coq/Coq_QArith_Qabs_Qabs_nonneg'#@#variant 'mat/lt_O_nth_prime_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_eq_equiv'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sub_diag' 'mat/bc_n_n'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_ltb_irrefl' 'mat/eqb_n_n'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_land_assoc' 'mat/andbA'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_land_lor_distr_l' 'mat/times_plus_l'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_assoc' 'mat/andbA'
0. 'coq/Coq_ZArith_BinInt_Z_divide_transitive'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_1_r' 'mat/div_SO'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_sqrt_spec' 'mat/PreMonoid_OF_Group'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_le_compat_l' 'mat/le_times_r'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_assoc' 'mat/assoc_plus'
0. 'coq/Coq_Sets_Uniset_leb_refl' 'mat/divides_n_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_1'#@#variant 'mat/A_SSO'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pow_inj_r'#@#variant 'mat/lt_times_to_lt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lxor_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_NArith_BinNat_N_lt_strorder'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_le_mono' 'mat/lt_times'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_le_mono' 'mat/le_S_S'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_assoc' 'mat/andbA'
0. 'coq/Coq_Arith_Minus_lt_O_minus_lt'#@#variant 'mat/lt_O_minus_to_lt'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_cos_PI2'#@#variant 'mat/A_SSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div_eucl_spec' 'mat/ltb_to_Prop'
0. 'coq/Coq_ZArith_Zbool_Zle_bool_imp_le' 'mat/divides_b_true_to_divides'
0. 'coq/Coq_NArith_BinNat_N_min_le_compat' 'mat/le_plus'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lcm_assoc' 'mat/assoc_plus'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_sub_lt_add_r' 'mat/le_minus_to_plus'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_max_distr' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_0_l' 'mat/mod_O_n'
0. 'coq/Coq_NArith_BinNat_N_eq_sym'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rmax_assoc' 'mat/andb_assoc'
0. 'coq/__constr_Coq_Classes_Morphisms_apply_subrelation_0_1' 'mat/daemon1'
0. 'coq/Coq_Arith_PeanoNat_Nat_max_min_distr' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_mul_mono_l' 'mat/distr_times_minus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_max_distr' 'mat/distr_times_plus'
0. 'coq/Coq_NArith_BinNat_N_sqrt_2'#@#variant 'mat/B_SSSSO'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qcopp_involutive' 'mat/finv_finv'
0. 'coq/Coq_NArith_BinNat_N_gcd_assoc' 'mat/andbA'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_ge_cases' 'mat/not_le_to_lt'
0. 'coq/Coq_QArith_Qcanon_Qcopp_involutive' 'mat/Qinv_Qinv'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_lt_mono' 'mat/lt_plus'
0. 'coq/Coq_NArith_Ndist_ni_le_trans' 'mat/trans_divides'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_ltb_irrefl' 'mat/nat_compare_n_n'
0. 'coq/Coq_Bool_Bool_xorb_nilpotent' 'mat/minus_n_n'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_succ_l' 'mat/Zplus_Zpred'
0. 'coq/Coq_Classes_RelationClasses_iff_Symmetric' 'mat/impl_refl'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_strorder'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_eq_refl'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_transitive'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_assoc' 'mat/assoc_times'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_eq_trans'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_0_l' 'mat/Qtimes_Qone_q'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_max_l' 'mat/le_plus_n_r'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pred_0' 'mat/eq_OZ_Zopp_OZ'
0. 'coq/Coq_PArith_BinPos_Pos_sqrt_spec' 'mat/magma0'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_le_compat' 'mat/divides_times'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_1_r' 'mat/div_SO'
0. 'coq/Coq_ZArith_BinInt_Z_sub_min_distr_r' 'mat/times_exp'
0. 'coq/Coq_Bool_Bool_andb_orb_distrib_r' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_ZArith_BinInt_Z_land_assoc' 'mat/andbA'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_nonneg'#@#variant 'mat/prime_nth_prime'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_max_distr' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Reals_RIneq_Rmult_lt_reg_l'#@#variant 'mat/lt_times_n_to_lt_r'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_1_l'#@#variant 'mat/exp_n_O'#@#variant
0. 'coq/Coq_Arith_Mult_mult_le_compat' 'mat/divides_times'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_sub_l' 'mat/divides_gcd_n'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_sqrt_sqrt_up' 'mat/le_B_A'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_lt_mono' 'mat/lt_times'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_lt_mono' 'mat/le_plus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_le_mono' 'mat/le_to_le_pred'
0. 'coq/Coq_Init_Peano_n_Sn' 'mat/not_eq_n_Sn'
0. 'coq/Coq_Arith_PeanoNat_Nat_sub_succ_l' 'mat/minus_Sn_m'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lor_land_distr_l' 'mat/times_minus_l'
0. 'coq/Coq_PArith_BinPos_Pos_eq_refl'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_one_succ'#@#variant 'mat/A_SSSO'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_max_distr_r' 'mat/times_exp'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_land_diag' 'mat/gcd_n_n'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_antisym' 'mat/le_to_le_to_eq'
0. 'coq/Coq_ZArith_Zquot_Z_quot_monotone'#@#variant 'mat/lt_times_l1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_1_r'#@#variant 'mat/le_n_O_to_eq'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_decidable' 'mat/decidable_le'
0. 'coq/Coq_ZArith_Zorder_Zmult_lt_reg_r' 'mat/lt_times_n_to_lt'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_eqb_refl' 'mat/leb_refl'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_land_0_r' 'mat/Ztimes_z_OZ'
0. 'coq/Coq_NArith_BinNat_N_double_spec'#@#variant 'mat/eq_B_B1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_compare_eq' 'mat/eqb_true_to_eq'
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_1_r'#@#variant 'mat/times_n_O'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_assoc' 'mat/andbA'
0. 'coq/Coq_QArith_Qreduction_Qred_comp' 'mat/ltS'
0. 'coq/Coq_ZArith_BinInt_Zmult_assoc_reverse' 'mat/assoc_Ztimes'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_divide/0' 'mat/divides_gcd_nm/1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lor_0_l' 'mat/rtimes_one_r'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_1_l'#@#variant 'mat/divides_SO_n'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lcm_mul_mono_r' 'mat/times_exp'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div_eucl_spec' 'mat/eqb_to_Prop'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_divide_l' 'mat/divides_gcd_nm/1'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_nonneg'#@#variant 'mat/lt_O_teta'#@#variant
0. 'coq/Coq_Structures_OrderedTypeEx_Z_as_OT_lt_not_eq' 'mat/eq_to_not_lt'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_transitive'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_add_r' 'mat/le_plus_n_r'
0. 'coq/Coq_ZArith_BinInt_Z_gcd_1_l'#@#variant 'mat/mod_O_n'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_0_succ' 'mat/le_SO_fact'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_nonneg'#@#variant 'mat/not_nf_elim_not/1'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pred_le_mono' 'mat/le_to_le_pred'
0. 'coq/Coq_ZArith_BinInt_Z_land_lor_distr_r' 'mat/distr_times_minus'
0. 'coq/Coq_Classes_RelationClasses_iff_Transitive' 'mat/transitive_iff'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_assoc' 'mat/assoc_plus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_lt_mono_r'#@#variant 'mat/le_exp'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_ggcd_correct_divisors' 'mat/ltb_to_Prop'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_ggcd_greatest' 'mat/eqb_to_Prop'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_1'#@#variant 'mat/eq_OZ_Zopp_OZ'
0. 'coq/Coq_ZArith_Zorder_Zlt_0_minus_lt' 'mat/lt_O_minus_to_lt'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_succ_l' 'mat/Zplus_Zpred'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_eq_refl'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_1_succ' 'mat/lt_O_fact'
0. 'coq/Coq_ZArith_Zlogarithm_ZERO_le_N_digits'#@#variant 'mat/prime_nth_prime'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_nonneg'#@#variant 'mat/not_nf_elim_not/1'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pos_pred_succ' 'mat/numeratorQ_nat_fact_all_to_Q'
0. 'coq/Coq_ZArith_BinInt_Z_lxor_assoc' 'mat/andbA'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_add_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftr_lor' 'mat/times_minus_l'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_min_l' 'mat/le_minus_m'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_lt_cancel' 'mat/lt_S_S_to_lt'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_le_mono' 'mat/lt_to_lt_S_S'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_succ_pred_pos'#@#variant 'mat/divides_max_prime_factor_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_compare_refl' 'mat/eqb_n_n'
0. 'coq/Coq_PArith_BinPos_Pos_max_min_distr' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_ZArith_BinInt_Z_square_spec' 'mat/times_SSO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_max_distr_r' 'mat/times_exp'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_1' 'mat/A_SO'
0. 'coq/Coq_PArith_BinPos_Pos_le_min_l' 'mat/divides_gcd_n'
0. 'coq/Coq_NArith_BinNat_N_div2_succ_double' 'mat/Zpred_Zsucc'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_le_compat' 'mat/le_times'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_max_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_lt_cancel' 'mat/le_S_S_to_le'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_le_compat_r' 'mat/le_plus_l'
0. 'coq/Coq_Logic_ClassicalFacts_TrueP' 'mat/daemon'
0. 'coq/Coq_Reals_Raxioms_Rplus_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_Arith_PeanoNat_Nat_div_1_r' 'mat/div_SO'
0. 'coq/Coq_ZArith_BinInt_Z_lt_ge_cases' 'mat/not_lt_to_le'
0. 'coq/Coq_Arith_Max_le_max_l' 'mat/le_plus_n_r'
0. 'coq/Coq_NArith_BinNat_N_sub_add_distr' 'mat/eq_minus_minus_minus_plus'
0. 'coq/Coq_ZArith_Zbool_Zge_cases' 'mat/eqZb_to_Prop'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_1_l' 'mat/Zpred_Zplus_neg_O'
0. 'coq/Coq_ZArith_Znat_N2Z_inj' 'mat/inj_neg'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_double_succ' 'mat/times_SSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_reflexive'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_eq_trans'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_rem_opp_l_prime' 'mat/Zplus_Zsucc'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_land_0_l' 'mat/mod_O_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_divide_mono_r' 'mat/lt_plus_l'
0. 'coq/Coq_Arith_PeanoNat_Nat_eq_trans'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_sqrt_spec' 'mat/primeb_to_Prop'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_trans' 'mat/trans_le'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_even_succ' 'mat/pos_n_eq_S_n'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_add_distr_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Arith_PeanoNat_Nat_lcm_0_l' 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_NArith_BinNat_N_log2_up_le_lin'#@#variant 'mat/lt_sqrt_n'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_min_distr_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_add_pos_r'#@#variant 'mat/O_lt_const_to_le_times_const'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_pow2'#@#variant 'mat/S_pred'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_min_distr_l' 'mat/distr_times_minus'
0. 'coq/Coq_NArith_BinNat_N_sqrt_square' 'mat/eq_sqrt'
0. 'coq/Coq_Reals_R_sqrt_sqrt_pos' 'mat/le_SO_fact'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_even' 'mat/numerator_nat_fact_to_fraction'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_max_distr' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_0_r'#@#variant 'mat/exp_n_O0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_land' 'mat/demorgan1'
0. 'coq/Coq_Arith_Min_min_l' 'mat/le_to_mod'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_le_mono' 'mat/lt_times'
0. 'coq/Coq_Reals_Rtrigo_reg_continuity_sin' 'mat/injective_nth_prime'#@#variant
0. 'coq/Coq_Arith_Gt_plus_gt_compat_l' 'mat/le_times_r'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_strorder'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_div_small' 'mat/eq_minus_n_m_O'
0. 'coq/Coq_Arith_PeanoNat_Nat_min_max_distr' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_odd_succ' 'mat/pos_n_eq_S_n'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_le_compat_l' 'mat/le_plus_r'
0. 'coq/Coq_ZArith_BinInt_Z_opp_involutive' 'mat/Zopp_Zopp'
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_1'#@#variant 'mat/A_SSSO'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_COS_bound/0' 'mat/le_SO_fact'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_pow2'#@#variant 'mat/S_pred'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_id' 'mat/orb_refl'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_preorder'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_add_distr_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_pos_l' 'mat/lt_O_exp'
0. 'coq/Coq_Reals_RIneq_Rinv_0_lt_compat' 'mat/lt_O_smallest_factor'
0. 'coq/Coq_NArith_BinNat_N_divide_1_l'#@#variant 'mat/divides_SO_n'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_T_OMEGA16_stable' 'mat/injective_nth_prime'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_1'#@#variant 'mat/A_SSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_nonneg'#@#variant 'mat/not_nf_elim_not/0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_min_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_le_lin'#@#variant 'mat/lt_sqrt_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_even_succ' 'mat/pos_n_eq_S_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_eq_0_r' 'mat/eq_Qtimes_OQ_to_eq_OQ'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_max_distr_l' 'mat/distr_times_minus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_lor' 'mat/demorgan1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_add_pos_l' 'mat/le_times_n'#@#variant
0. 'coq/Coq_NArith_BinNat_N_shiftl_0_l' 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_le_mono' 'mat/divides_times'
0. 'coq/Coq_Reals_Rminmax_R_minus_min_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_Arith_PeanoNat_Nat_min_0_r' 'mat/times_n_O'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_quotrem_eq' 'mat/eqfb_to_Prop'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_eq_refl'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_nonneg_l' 'mat/lt_times_r1'
0. 'coq/Coq_Init_Peano_le_0_n' 'mat/le_O_n'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_le_mono' 'mat/lt_to_lt_S_S'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pos_pred_succ' 'mat/defactorize_factorize'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_NArith_BinNat_N_eq_equiv'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_min_l' 'mat/divides_gcd_n'
0. 'coq/Coq_PArith_BinPos_Pos_mul_min_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_1_l'#@#variant 'mat/divides_SO_n'#@#variant
0. 'coq/Coq_Arith_Max_plus_max_distr_r' 'mat/times_exp'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_min_distr_r' 'mat/times_exp'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_reflexive'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_succ_pred_pos' 'mat/S_pred'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tred_factor4_stable' 'mat/monotonic_sqrt'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_nonneg' 'mat/lt_O_S'
0. 'coq/Coq_Reals_Rpower_ln_exp' 'mat/pred_Sn'
0. 'coq/Coq_Arith_Mult_mult_S_le_reg_l' 'mat/lt_times_to_lt_r'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_decidable' 'mat/decidable_lt'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_lt_mono' 'mat/lt_times'
0. 'coq/Coq_ZArith_BinInt_Z_shiftl_0_l' 'mat/mod_O_n'
0. 'coq/Coq_Reals_Rbasic_fun_Rle_max_compat_l' 'mat/le_plus_r'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_eq_refl'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_min_r' 'mat/divides_gcd_nm/0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_land_lor_distr_r' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_0_succ' 'mat/lt_O_S'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_ggcd_correct_divisors' 'mat/eqb_to_Prop'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_0' 'mat/eq_OZ_Zopp_OZ'
0. 'coq/Coq_ZArith_BinInt_Z_eq_refl'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_sqrt_spec' 'mat/Magma_OF_PreGroup'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pow_gt_lin_r' 'mat/le_times_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_assoc' 'mat/assoc_Ztimes'
0. 'coq/__constr_Coq_Classes_CMorphisms_apply_subrelation_0_1' 'mat/daemon1'
0. 'coq/Coq_Arith_PeanoNat_Nat_compare_refl' 'mat/eqb_n_n'
0. 'coq/Coq_Reals_Ratan_atan_bound/0'#@#variant 'mat/lt_SO_nth_prime_n'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_land_0_l' 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_eq_refl'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_le_mono' 'mat/le_S_S'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_le_compat' 'mat/lt_times'
0. 'coq/Coq_NArith_BinNat_N_mul_min_distr_r' 'mat/times_exp'
0. 'coq/Coq_ZArith_Znat_Z_nat_N' 'mat/numerator_nat_fact_to_fraction'
0. 'coq/Coq_PArith_BinPos_Pos_add_succ_l' 'mat/Zplus_Zsucc'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_0' 'mat/eq_OZ_Zopp_OZ'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj' 'mat/inj_pos'
0. 'coq/Coq_Reals_RIneq_Rplus_ge_compat_l' 'mat/lt_plus_r'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_transitive'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_le_mono' 'mat/le_to_le_pred'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_add_le_sub_r' 'mat/le_minus_to_plus'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pow_lt_mono_r'#@#variant 'mat/lt_times_r1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_pred_l' 'mat/le_prim_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lcm_0_r' 'mat/Qtimes_q_OQ'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_le_mono_r'#@#variant 'mat/le_log'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_trans' 'mat/trans_divides'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_succ' 'mat/pred_Sn'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sub_0_l' 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lt_0_succ'#@#variant 'mat/not_nf_elim_not/1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sub_le_mono_r' 'mat/le_plus_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_le_mono' 'mat/lt_to_lt_S_S'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_ggcd_greatest' 'mat/eqb_to_Prop'
0. 'coq/Coq_QArith_QArith_base_Qle_trans' 'mat/trans_lt'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_specif/0' 'mat/leq_sqrt_n'
0. 'coq/Coq_Strings_Ascii_ascii_N_embedding' 'mat/factorize_defactorize'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_0_succ'#@#variant 'mat/lt_O_nth_prime_n'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftr_land' 'mat/times_minus_l'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pred_le_mono' 'mat/le_to_le_pred'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lor_assoc' 'mat/assoc_plus'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_le_compat_r' 'mat/le_times_l'
0. 'coq/Coq_Arith_Even_even_mult_r' 'mat/lt_O_gcd'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_land_0_r' 'mat/Qtimes_q_OQ'
0. 'coq/Coq_NArith_BinNat_N_lxor_0_l' 'mat/gcd_O_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_eq_refl'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_nonneg'#@#variant 'mat/not_nf_elim_not/0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_nonneg'#@#variant 'mat/lt_O_nth_prime_n'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_2'#@#variant 'mat/B_SSSSO'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_pred_pos'#@#variant 'mat/S_pred'#@#variant
0. 'coq/Coq_ZArith_Zdiv_Zdiv_Zdiv'#@#variant 'mat/eq_div_div_div_times'#@#variant
0. 'coq/Coq_Classes_RelationClasses_eq_Transitive' 'mat/reflexive_eq'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_le_mono' 'mat/lt_to_lt_S_S'
0. 'coq/Coq_QArith_Qcanon_Qclt_not_le' 'mat/le_to_not_lt'
0. 'coq/Coq_ZArith_BinInt_Z_lor_m1_l'#@#variant 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_double_succ' 'mat/times_SSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_glb_lt' 'mat/divides_plus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_2_r'#@#variant 'mat/exp_SSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_0_succ'#@#variant 'mat/lt_SO_nth_prime_n'#@#variant
0. 'coq/Coq_Reals_R_sqrt_sqrt_lt_R0'#@#variant 'mat/lt_SO_smallest_factor'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_refl' 'mat/divides_n_n'
0. 'coq/Coq_Reals_Rtrigo1_cos_2PI'#@#variant 'mat/B_SSSO'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_sub_succ_r' 'mat/eq_minus_S_pred'
0. 'coq/Coq_MMaps_MMapPositive_PositiveMap_E_bits_lt_trans' 'mat/trans_divides'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_le_compat_l' 'mat/lt_plus_r'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_le_lin'#@#variant 'mat/lt_sqrt_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_ldiff_0_l' 'mat/mod_O_n'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tplus_comm_stable' 'mat/injective_S'#@#variant
0. 'coq/Coq_Bool_Bool_andb_orb_distrib_l' 'mat/times_exp'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_ggcd_correct_divisors' 'mat/eqb_to_Prop'
0. 'coq/Coq_NArith_BinNat_N_log2_nonneg' 'mat/le_SO_fact'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_beq_false' 'mat/eqb_false_to_not_eq'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_land_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_Arith_PeanoNat_Nat_min_l' 'mat/lt_to_eq_mod'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_0' 'mat/A_SSO'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_plus_min_distr_l' 'mat/distr_times_plus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_involutive' 'mat/Qinv_Qinv'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_1'#@#variant 'mat/A_SO'#@#variant
0. 'coq/Coq_Init_Peano_eq_add_S' 'mat/inj_S'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_max_l' 'mat/le_plus_n_r'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_max_r' 'mat/le_plus_n'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_max_distr_r' 'mat/times_exp'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_min_r' 'mat/divides_gcd_nm/0'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_eq_mul_0_r' 'mat/times_O_to_O'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_eq_refl'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_pos'#@#variant 'mat/le_SSO_fact'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_max_distr' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_0' 'mat/eq_OZ_Zopp_OZ'
0. 'coq/Coq_ZArith_Zbool_Zeq_bool_eq' 'mat/same_atom_to_eq'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_0_r' 'mat/times_n_O'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_gt_lin_r' 'mat/le_times_n'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_of_nat_succ' 'mat/pos_n_eq_S_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_nonneg'#@#variant 'mat/lt_O_S'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_quot_le_lower_bound' 'mat/le_times_to_le_div'
0. 'coq/Coq_ZArith_BinInt_Z_mul_divide_mono_r' 'mat/le_times_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lor_diag' 'mat/orb_refl'
0. 'coq/Coq_Reals_Raxioms_Rmult_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div_le_lower_bound' 'mat/le_times_to_le_div'
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_lcm_l' 'mat/le_plus_n_r'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_2'#@#variant 'mat/A_SSSO'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sqrt_le_lin' 'mat/le_prim_n'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_le_lin'#@#variant 'mat/divides_smallest_factor_n'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_strorder'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_antisym' 'mat/antisym_le'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_max_distr_r' 'mat/times_exp'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pred_succ' 'mat/pred_Sn'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_1_l' 'mat/gcd_O_n'
0. 'coq/Coq_Arith_PeanoNat_Nat_div_small' 'mat/eq_minus_n_m_O'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_id' 'mat/gcd_n_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_add_pos_l' 'mat/le_times_n'#@#variant
0. 'coq/Coq_Reals_Rtrigo_calc_tan_PI4'#@#variant 'mat/A_SSSO'#@#variant
0. 'coq/Coq_Reals_RIneq_Rplus_ge_compat_r' 'mat/lt_plus_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_nonneg_r'#@#variant 'mat/lt_times_l1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_max_distr_l' 'mat/distr_times_minus'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_le_mono' 'mat/lt_times'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_leb_refl' 'mat/leb_refl'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_le_mono' 'mat/divides_times'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_max_distr_r' 'mat/times_exp'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_gt_cases' 'mat/not_lt_to_le'
0. 'coq/Coq_ZArith_Zorder_Zsucc_lt_reg' 'mat/lt_S_S_to_lt'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lor_assoc' 'mat/assoc_plus'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_add_le_sub_r' 'mat/le_plus_to_minus_r'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_pred' 'mat/Zpred_Zsucc'
0. 'coq/Coq_Reals_RIneq_Rmult_le_compat_l'#@#variant 'mat/lt_times_r1'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_log2_lt_lin'#@#variant 'mat/divides_smallest_factor_n'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_0_l' 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_le_mono' 'mat/le_pred'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_sub_r' 'mat/divides_plus'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_pred_succ' 'mat/Zpred_Zsucc'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_lxor_l' 'mat/Zplus_Zsucc'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_eq_0_r' 'mat/eq_plus_n_m_O_to_eq_m_O'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lxor_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_id' 'mat/gcd_n_n'
0. 'coq/Coq_Init_Datatypes_CompOpp_involutive' 'mat/opposite_direction_idempotent'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_1_l'#@#variant 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_leb_refl' 'mat/eqb_n_n'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_eq_mul_0_r' 'mat/times_O_to_O'
0. 'coq/Coq_ZArith_BinInt_Z_divide_trans' 'mat/trans_le'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZeqb_correct' 'mat/divides_b_true_to_divides'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_2'#@#variant 'mat/A_SSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_nonneg'#@#variant 'mat/lt_O_teta'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_nonneg' 'mat/le_SO_fact'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_2'#@#variant 'mat/B_SSSO'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_min_distr' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Arith_Min_min_0_l' 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_QArith_QOrderedType_QOrder_TO_eq_equiv'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_0_r' 'mat/times_n_O'
0. 'coq/Coq_Arith_PeanoNat_Nat_lcm_1_l'#@#variant 'mat/gcd_O_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_le_compat_l' 'mat/le_plus_r'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_sub_lt' 'mat/lt_to_div_O'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_1_r'#@#variant 'mat/Qtimes_q_OQ'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_factor_l' 'mat/le_plus_n_r'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrtrem_spec' 'mat/premonoid0'
0. 'coq/Coq_ZArith_BinInt_Z_odd_succ' 'mat/pos_n_eq_S_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_le_mono' 'mat/le_S_S'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_pos_r'#@#variant 'mat/lt_O_gcd'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lcm_0_r' 'mat/Ztimes_z_OZ'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_min_r' 'mat/divides_gcd_m'
0. 'coq/Coq_Bool_Bool_andb_diag' 'mat/orb_refl'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_eqb_refl' 'mat/eqb_n_n'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_le_compat' 'mat/lt_plus'
0. 'coq/Coq_Reals_R_sqr_Rsqr_inj' 'mat/eq_pred_to_eq'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lcm_mul_mono_l' 'mat/distr_times_minus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_strorder'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_max_distr_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_sub_distr_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_ZArith_Zorder_dec_Zne' 'mat/decidable_le'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_0_r'#@#variant 'mat/bc_n_O'#@#variant
0. 'coq/Coq_NArith_BinNat_N_log2_nonneg'#@#variant 'mat/not_nf_elim_not/1'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_add_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div_le_mono'#@#variant 'mat/lt_exp1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_succ_min_distr' 'mat/Zopp_Zplus'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_eq_sym'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_reflexive'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_nonneg_r' 'mat/lt_times_l1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_add_pos_l' 'mat/le_times_n'#@#variant
0. 'coq/Coq_NArith_BinNat_N_shiftl_ldiff' 'mat/times_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ggcd_correct_divisors' 'mat/eqZb_to_Prop'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_mul_mono_r' 'mat/times_minus_l'
0. 'coq/Coq_ZArith_BinInt_Z_land_0_l' 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tred_factor3_stable' 'mat/increasing_nth_prime'
0. 'coq/Coq_QArith_Qreduction_Qmult_prime_comp' 'mat/lt_times'
0. 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_lt_not_eq' 'mat/lt_to_not_eq'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_le_mono' 'mat/lt_to_lt_S_S'
0. 'coq/Coq_Arith_Factorial_lt_O_fact' 'mat/lt_O_fact'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_sub_le' 'mat/lt_to_div_O'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_0_r' 'mat/times_n_O'
0. 'coq/Coq_Reals_Rfunctions_fact_simpl' 'mat/factS'
0. 'coq/Coq_ZArith_BinInt_Z_divide_reflexive'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pow_lt_mono_r'#@#variant 'mat/lt_times_r1'#@#variant
0. 'coq/Coq_NArith_Nnat_Nat2N_id' 'mat/numeratorQ_nat_fact_all_to_Q'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_nlt_succ_diag_l' 'mat/not_le_Sn_n'
0. 'coq/Coq_Reals_Ranalysis4_sinh_lt' 'mat/ltS'
0. 'coq/Coq_Arith_Wf_nat_lt_wf' 'mat/antisymmetric_divides'
0. 'coq/Coq_Arith_PeanoNat_Nat_sub_le_mono_r' 'mat/le_plus_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_nle_succ_0' 'mat/not_le_Sn_O'
0. 'coq/Coq_ZArith_BinInt_Z_sgn_0' 'mat/A_SO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_two_succ'#@#variant 'mat/B_SSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_0_r' 'mat/times_n_O'
0. 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_plus_le_compat' 'mat/le_times'
0. 'coq/Coq_ZArith_BinInt_Z_quotrem_eq' 'mat/eqZb_to_Prop'
0. 'coq/Coq_Reals_RIneq_Rmult_le_reg_l'#@#variant 'mat/lt_exp_to_lt'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tplus_assoc_r_stable' 'mat/monotonic_A'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_succ_diag_r' 'mat/lt_n_nth_prime_n'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_lt_cancel' 'mat/lt_S_S_to_lt'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_id' 'mat/numeratorQ_nat_fact_all_to_Q'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_le_mono_r'#@#variant 'mat/lt_times_r1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_min_distr_r' 'mat/times_exp'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tred_factor6_stable' 'mat/monotonic_A'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_odd_succ' 'mat/pos_n_eq_S_n'
0. 'coq/Coq_ZArith_BinInt_Z_add_min_distr_l' 'mat/distr_times_plus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div2_div'#@#variant 'mat/plus_n_SO'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_le_compat_r' 'mat/le_times_l'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_lor' 'mat/demorgan2'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_le_lin'#@#variant 'mat/lt_sqrt_n'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_nonneg'#@#variant 'mat/prime_nth_prime'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_sub_lt_add_r' 'mat/le_minus_to_plus'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lcm_assoc' 'mat/assoc_plus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_0_r'#@#variant 'mat/mod_SO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_2'#@#variant 'mat/B_SSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_strorder'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lt_0_succ'#@#variant 'mat/lt_SO_nth_prime_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_0_l' 'mat/gcd_O_n'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_le_mono' 'mat/ltS'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_le_mono' 'mat/le_S_S'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_glb_lt' 'mat/divides_minus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_nonneg'#@#variant 'mat/lt_O_fact'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_le_mono_r'#@#variant 'mat/lt_exp'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_opp_opp' 'mat/minus_S_S'
0. 'coq/Coq_Arith_PeanoNat_Nat_compare_succ' 'mat/nat_compare_S_S'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftl_ldiff' 'mat/times_exp'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_1_r' 'mat/times_n_SO'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lxor_0_l' 'mat/rtimes_one_r'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_compare_eq' 'mat/same_atom_to_eq'
0. 'coq/Coq_ZArith_BinInt_Z_log2_le_mono' 'mat/le_pred'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_le_mono' 'mat/le_S_S'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lxor_0_l' 'mat/Qtimes_Qone_q'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_max_l' 'mat/le_plus_n_r'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_1'#@#variant 'mat/B_SSSSO'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_lt_lin'#@#variant 'mat/lt_sqrt_n'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_of_Qc' 'mat/defactorize_factorize'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_le_compat' 'mat/lt_plus'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_min_distr_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_NArith_BinNat_N_log2_nonneg' 'mat/lt_O_nth_prime_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_Even_or_Odd' 'mat/not_not_bertrand_to_bertrand'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_of_nat_succ' 'mat/pos_n_eq_S_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_add_distr_r' 'mat/times_exp'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_succ_diag_r' 'mat/lt_n_nth_prime_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_QArith_Qcanon_Qcmult_plus_distr_r' 'mat/distr_times_plus'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_le_compat' 'mat/lt_times'
0. 'coq/Coq_PArith_BinPos_Pos_ltb_irrefl' 'mat/nat_compare_n_n'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_nonneg'#@#variant 'mat/not_nf_elim_not/1'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_le_mono' 'mat/le_to_le_pred'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_preorder'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_eq_equiv'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_land_lor_distr_l' 'mat/times_exp'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrtrem_spec' 'mat/Magma_OF_Monoid'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_le_compat_l' 'mat/le_times_r'
0. 'coq/Coq_PArith_BinPos_Pos_add_lt_mono' 'mat/le_times'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_odd_succ' 'mat/pos_n_eq_S_n'
0. 'coq/Coq_ZArith_Zorder_Zsucc_gt_compat' 'mat/ltS'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_trans' 'mat/trans_divides'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_land_lor_distr_r' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_ZArith_BinInt_Z_lnot_lor' 'mat/demorgan2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_assoc' 'mat/assoc_plus'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_le_mono' 'mat/le_pred'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lor_land_distr_l' 'mat/times_minus_l'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_transitive'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_compare_eq' 'mat/same_atom_to_eq'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_div_eucl' 'mat/eqb_to_Prop'
0. 'coq/Coq_Structures_OrdersTac_ord_ind' 'mat/compare_ind'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_assoc' 'mat/andb_assoc'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_min_r' 'mat/divides_gcd_m'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_nonneg' 'mat/lt_O_S'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_assoc' 'mat/andb_assoc'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_ggcd_correct_divisors' 'mat/leb_to_Prop'
0. 'coq/Coq_Arith_Factorial_lt_O_fact'#@#variant 'mat/lt_O_nth_prime_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_lt_mono' 'mat/divides_times'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_1'#@#variant 'mat/A_SO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_shuffle1' 'mat/ab_times_cd'
0. 'coq/Coq_NArith_BinNat_N_size_le'#@#variant 'mat/le_exp_SSO_fact'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_abs_nonneg'#@#variant 'mat/lt_O_nth_prime_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_le_lin'#@#variant 'mat/divides_smallest_factor_n'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_trans' 'mat/trans_le'
0. 'coq/Coq_Reals_RIneq_Rmult_le_reg_r'#@#variant 'mat/le_exp_to_le1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_lt_lin'#@#variant 'mat/divides_smallest_factor_n'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lcm_assoc' 'mat/assoc_plus'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_min_distr' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_peano_ind' 'mat/nat_ind'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_le_lin'#@#variant 'mat/divides_smallest_factor_n'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_pow_gt_1' 'mat/lt_O_exp'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_land_lor_distr_r' 'mat/distr_times_minus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_nonneg' 'mat/le_SO_fact'#@#variant
0. 'coq/Coq_Reals_RIneq_Rplus_lt_reg_l' 'mat/le_plus_to_le'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_preorder'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_Reals_RIneq_Rmult_le_reg_r' 'mat/le_exp_to_le1'
0. 'coq/Coq_ZArith_Zeven_Zeven_pred' 'mat/le_SSO_fact'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_eq_refl'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_nonneg' 'mat/lt_O_fact'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_le_compat_l' 'mat/lt_plus_r'
0. 'coq/Coq_ZArith_BinInt_Z_pos_sub_discr' 'mat/eqZb_to_Prop'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_le_compat' 'mat/lt_times'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_sub_lt_add_r' 'mat/le_plus_to_minus_r'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pow_lt_mono_r' 'mat/lt_times_r1'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_nonneg_l' 'mat/lt_times_r1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_div_1_r' 'mat/times_n_SO'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_le_compat' 'mat/lt_plus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_max_distr_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mod_1_r'#@#variant 'mat/bc_n_O'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_eq_refl'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_ge_cases' 'mat/not_le_to_lt'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_decidable' 'mat/decidable_lt'
0. 'coq/Coq_PArith_BinPos_Pos_mul_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_pred_r' 'mat/eq_minus_S_pred'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_nonneg' 'mat/lt_O_S'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_wf_0' 'mat/antisymmetric_le'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_pos'#@#variant 'mat/prime_smallest_factor_n'#@#variant
0. 'coq/Coq_NArith_BinNat_N_double_mul' 'mat/Zplus_Zpred'
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_nonneg'#@#variant 'mat/lt_SO_nth_prime_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_eq_sym'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_max_distr_l' 'mat/exp_plus_times'
0. 'coq/Coq_PArith_BinPos_Pos_pow_gt_1' 'mat/lt_O_exp'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_id' 'mat/gcd_n_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_0_l' 'mat/gcd_O_n'
0. 'coq/Coq_PArith_BinPos_Pos_sqrt_spec' 'mat/Magma_OF_Monoid'
0. 'coq/Coq_Arith_PeanoNat_Nat_sub_max_distr_r' 'mat/times_exp'
0. 'coq/Coq_QArith_Qreduction_Qred_correct' 'mat/le_pred_n'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_eqb_refl' 'mat/ltb_refl'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_l2i_i2l'#@#variant 'mat/numeratorQ_nat_fact_all_to_Q'
0. 'coq/Coq_ZArith_Zquot_Zmult_rem_distr_l' 'mat/distr_times_plus'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_max_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_leb_refl' 'mat/eqb_n_n'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_antisymm' 'mat/antisym_le'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftl_lor' 'mat/times_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lor_diag' 'mat/gcd_n_n'
0. 'coq/Coq_NArith_BinNat_N_mul_sub_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_transitive'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lcm_mul_mono_l' 'mat/distr_times_plus'
0. 'coq/Coq_Reals_RIneq_Rinv_0_lt_compat'#@#variant 'mat/lt_SO_smallest_factor'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_max_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_leb_refl' 'mat/leb_refl'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_assoc' 'mat/andb_assoc'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_double_spec'#@#variant 'mat/eq_B_B1'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_irrefl' 'mat/Not_lt_n_n'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_eq_equiv'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_assoc' 'mat/andb_assoc'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_sub_distr_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pred_le_mono' 'mat/le_S_S'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_le_compat_l' 'mat/lt_plus_r'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_succ_le' 'mat/times_SSO_pred'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_sub_min_distr_l' 'mat/exp_plus_times'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_le_compat' 'mat/le_times'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pos_sub_discr' 'mat/leb_to_Prop'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_inj' 'mat/not_eq_S'
0. 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_mult_lt_compat_l'#@#variant 'mat/lt_times_r1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_glb_lt' 'mat/divides_minus'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_nonneg'#@#variant 'mat/lt_O_S'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_quotrem_eq' 'mat/eqZb_to_Prop'
0. 'coq/Coq_Reals_RIneq_Rplus_lt_compat' 'mat/le_plus'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_sqrt_spec' 'mat/AA'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_0_succ'#@#variant 'mat/not_nf_elim_not/1'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lor_assoc' 'mat/andbA'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_gt_cases' 'mat/not_le_to_lt'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_nonneg'#@#variant 'mat/prime_nth_prime'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_le_compat_r' 'mat/le_plus_l'
0. 'coq/Coq_Arith_PeanoNat_Nat_odd_succ' 'mat/pos_n_eq_S_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_eqb_refl' 'mat/leb_refl'
0. 'coq/Coq_ZArith_Zquot_Zrem_0_l' 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_compare_refl' 'mat/ltb_refl'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_preorder'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_lt_cancel' 'mat/ltS\''
0. 'coq/Coq_ZArith_BinInt_Zsucc_pred' 'mat/Zpred_Zsucc'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lxor_assoc' 'mat/assoc_times'
0. 'coq/Coq_NArith_BinNat_N_add_sub' 'mat/minus_plus_m_m'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_Even_or_Odd' 'mat/not_not_bertrand_to_bertrand'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sub_le_mono_r' 'mat/le_times_l'
0. 'coq/Coq_Arith_Lt_lt_S_n' 'mat/lt_S_S_to_lt'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_strorder'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_NArith_BinNat_N_succ_max_distr' 'mat/Qinv_Qtimes\''
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_nonneg'#@#variant 'mat/not_nf_elim_not/1'
0. 'coq/Coq_ZArith_Zorder_Zgt_succ' 'mat/le_smallest_factor_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_NArith_BinNat_N_log2_lor' 'mat/demorgan1'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_1_r' 'mat/exp_n_SO'
0. 'coq/Coq_Bool_Bool_orb_andb_distrib_l' 'mat/times_exp'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_ldiff_0_l' 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_min_0_r' 'mat/Qtimes_q_OQ'
0. 'coq/Coq_Reals_RIneq_Rle_0_sqr'#@#variant 'mat/lt_O_S'#@#variant
0. 'coq/Coq_fourier_Fourier_util_Rfourier_le' 'mat/le_exp'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrtrem_spec' 'mat/primeb_to_Prop'
0. 'coq/Coq_NArith_BinNat_N_lt_strorder'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_inj_r'#@#variant 'mat/inj_times_r1'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_sub_distr_l' 'mat/distr_times_plus'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_0_r' 'mat/times_n_O'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_eqb_refl' 'mat/nat_compare_n_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_eq_0_r' 'mat/times_O_to_O'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_0_succ'#@#variant 'mat/lt_O_teta'#@#variant
0. 'coq/Coq_NArith_BinNat_N_shiftl_ldiff' 'mat/times_minus_l'
0. 'coq/Coq_ZArith_BinInt_Z_min_le_compat_r' 'mat/lt_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_involutive' 'mat/eq_notb_notb_b_b'
0. 'coq/Coq_Setoids_Setoid_gen_st' 'mat/reflexive_eq'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_min_l' 'mat/le_minus_m'
0. 'coq/Coq_Init_Datatypes_surjective_pairing' 'mat/eq_pair_fst_snd'
0. 'coq/Coq_Init_Peano_mult_n_O' 'mat/times_n_O'
0. 'coq/Coq_Reals_RIneq_Rmult_lt_reg_l' 'mat/le_times_to_le'#@#variant
0. 'coq/Coq_ZArith_Zlogarithm_ZERO_le_N_digits'#@#variant 'mat/lt_O_S'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_div_lt'#@#variant 'mat/lt_div'#@#variant
0. 'coq/Coq_NArith_BinNat_N_log2_up_nonneg'#@#variant 'mat/lt_O_teta'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_0_l' 'mat/mod_O_n'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_trans' 'mat/trans_lt'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_0_r' 'mat/Ztimes_z_OZ'
0. 'coq/Coq_Reals_RIneq_Rmult_ne/1' 'mat/gcd_O_n'
0. 'coq/Coq_ZArith_BinInt_Z_add_0_l' 'mat/gcd_O_n'
0. 'coq/Coq_ZArith_BinInt_Z_lxor_nilpotent' 'mat/bc_n_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_shuffle1' 'mat/ab_times_cd'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_nonneg'#@#variant 'mat/lt_O_S'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lcm_diag' 'mat/times_SSO_n'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_sub_l' 'mat/le_minus_m'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_glb_lt' 'mat/divides_plus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_factor_l' 'mat/le_plus_n_r'
0. 'coq/Coq_ZArith_BinInt_Z_land_0_r' 'mat/Ztimes_z_OZ'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_succ_le' 'mat/times_SSO_pred'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_succ_not_1' 'mat/not_eq_O_S'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_odd_pred' 'mat/pos_n_eq_S_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_ZArith_BinInt_Z_le_gt_cases' 'mat/not_le_to_lt'
0. 'coq/Coq_NArith_BinNat_N_land_0_r' 'mat/Qtimes_q_OQ'
0. 'coq/Coq_NArith_BinNat_N_lt_succ_l' 'mat/lt_S_to_lt'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_nonneg' 'mat/le_SO_fact'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_land_0_l' 'mat/mod_O_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_succ_le' 'mat/times_SSO_pred'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_1'#@#variant 'mat/A_SSSO'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_pow_mul_l' 'mat/times_plus_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftl_lor' 'mat/times_plus_l'
0. 'coq/Coq_Init_Peano_le_pred' 'mat/ltS'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_max_distr' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_eq_refl'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pred_le_mono' 'mat/le_to_le_pred'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_nonneg' 'mat/lt_O_fact'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_max_distr' 'mat/distr_times_plus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_pred_l' 'mat/le_pred_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_lnot_diag'#@#variant 'mat/Zplus_Zopp'
0. 'coq/Coq_QArith_Qminmax_Q_le_max_r' 'mat/le_plus_n'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_eqb_correct' 'mat/leb_true_to_le'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_eq_sym'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sub_min_distr_l' 'mat/exp_plus_times'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_preorder'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_fourier_Fourier_util_Rnot_le_le' 'mat/lt_to_lt_O_minus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_le_compat' 'mat/divides_times'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_mul' 'mat/Qinv_Qtimes\''
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sub_succ_l' 'mat/minus_Sn_m'
0. 'coq/Coq_ZArith_Zorder_dec_Zgt' 'mat/decidable_le'
0. 'coq/Coq_ZArith_BinInt_Z_succ_max_distr' 'mat/Qinv_Qtimes\''
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_0' 'mat/A_SO'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_refl' 'mat/divides_n_n'
0. 'coq/Coq_ZArith_Zquot_Zquot_opp_l' 'mat/Zplus_Zpred'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_eq_refl'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pred_le_mono' 'mat/le_pred'
0. 'coq/Coq_Classes_RelationClasses_impl_Transitive' 'mat/symmetric_iff'
0. 'coq/Coq_Classes_RelationClasses_RewriteRelation_instance_1' 'mat/transitive_iff'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_2'#@#variant 'mat/B_SSSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_transitive'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_eq_sym'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_Classes_RelationClasses_RewriteRelation_instance_0' 'mat/transitive_iff'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_sqrt_spec' 'mat/premonoid'
0. 'coq/Coq_Reals_RIneq_Rplus_ge_compat' 'mat/lt_plus'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_ggcd_correct_divisors' 'mat/eqZb_to_Prop'
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_nonneg_r' 'mat/lt_exp1'
0. 'coq/Coq_Arith_PeanoNat_Nat_neq_succ_0' 'mat/not_eq_O_S'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_le_compat_r' 'mat/le_times_l'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_pos_r' 'mat/lt_O_gcd'
0. 'coq/Coq_PArith_BinPos_Pos_min_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_QArith_Qabs_Qabs_wd' 'mat/le_pred'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_add_distr_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_leb_refl' 'mat/nat_compare_n_n'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tred_factor4_stable' 'mat/injective_nth_prime'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_add_sub_assoc' 'mat/eq_minus_plus_plus_minus'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_min_distr' 'mat/Qinv_Qtimes\''
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lor_assoc' 'mat/assoc_times'
0. 'coq/Coq_Reals_ROrderedType_ROrder_lt_trans' 'mat/trans_divides'
0. 'coq/Coq_Reals_Rminmax_R_plus_max_distr_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_max_le_compat' 'mat/le_times'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_1'#@#variant 'mat/B_SSSO'#@#variant
0. 'coq/Coq_NArith_BinNat_N_max_id' 'mat/orb_refl'
0. 'coq/Coq_fourier_Fourier_util_Rnot_lt_lt'#@#variant 'mat/lt_O_bc'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sub_min_distr_r' 'mat/times_exp'
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_1_l'#@#variant 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_min_l' 'mat/divides_gcd_n'
0. 'coq/Coq_ZArith_Zorder_dec_Zge' 'mat/decidable_le'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_le_incl' 'mat/lt_to_le'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_min_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_min_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_land_diag' 'mat/orb_refl'
0. 'coq/Coq_Reals_ROrderedType_ROrder_le_trans' 'mat/trans_lt'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div_le_mono'#@#variant 'mat/lt_times_l1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_assoc' 'mat/andb_assoc'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_mul' 'mat/Zopp_Zplus'
0. 'coq/Coq_omega_OmegaLemmas_Zred_factor4' 'mat/distr_times_minus'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_ggcd_correct_divisors' 'mat/Z_compare_to_Prop'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_antisymm' 'mat/le_to_le_to_eq'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_0_l' 'mat/Ztimes_Zone_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_2'#@#variant 'mat/A_SO'#@#variant
0. 'coq/Coq_Arith_Min_le_min_l' 'mat/le_minus_m'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_two_succ'#@#variant 'mat/B_SSSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_succ_r' 'mat/eq_minus_S_pred'
0. 'coq/Coq_NArith_BinNat_N_eq_equiv'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_NArith_BinNat_N_divide_1_r'#@#variant 'mat/le_n_O_to_eq'
0. 'coq/Coq_Arith_PeanoNat_Nat_eq_trans'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_lor' 'mat/demorgan1'
0. 'coq/Coq_QArith_QOrderedType_QOrder_le_trans' 'mat/trans_lt'
0. 'coq/Coq_Reals_RIneq_Rlt_not_le' 'mat/le_to_not_lt'
0. 'coq/Coq_QArith_Qcanon_Qc_eq_bool_correct' 'mat/eqb_true_to_eq'
0. 'coq/Coq_Reals_RIneq_Rplus_le_compat' 'mat/le_times'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_nonneg'#@#variant 'mat/lt_O_teta'#@#variant
0. 'coq/Coq_Reals_Rprod_le_n_2n'#@#variant 'mat/le_n_Sn'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_pred_pos' 'mat/S_pred'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_involutive' 'mat/Zopp_Zopp'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_preorder'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_shuffle1' 'mat/ab_times_cd'
0. 'coq/Coq_NArith_BinNat_N_log2_succ_le' 'mat/times_SSO_pred'#@#variant
0. 'coq/Coq_MSets_MSetPositive_PositiveSet_E_lt_strorder'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_quot_le_mono'#@#variant 'mat/lt_exp1'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_pos' 'mat/lt_O_S'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_nonneg'#@#variant 'mat/not_nf_elim_not/1'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div2_div'#@#variant 'mat/plus_n_SO'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_one_succ'#@#variant 'mat/B_SSSO'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_lt_mono' 'mat/le_times'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lcm_assoc' 'mat/andbA'
0. 'coq/Coq_NArith_BinNat_N_lor_land_distr_r' 'mat/distr_times_minus'
0. 'coq/Coq_Reals_Ratan_atan_increasing' 'mat/le_S_S'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_nonneg_l'#@#variant 'mat/le_log'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_mul_mono_r' 'mat/times_plus_l'
0. 'coq/Coq_NArith_BinNat_N_divide_transitive'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_max_distr_l' 'mat/distr_times_minus'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_strorder'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lcm_0_l' 'mat/mod_O_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_trans' 'mat/trans_le'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_succ_diag_r' 'mat/le_n_fact_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_le_mono' 'mat/le_pred'
0. 'coq/Coq_PArith_BinPos_Pos_max_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_Reals_Rminmax_R_min_l' 'mat/lt_to_eq_mod'
0. 'coq/Coq_ZArith_BinInt_Z_gcd_1_r'#@#variant 'mat/Ztimes_z_OZ'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lxor_nilpotent' 'mat/minus_n_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_b2z_inj' 'mat/inj_neg'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_divide_mono_l' 'mat/le_plus_r'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_inj' 'mat/inj_S'
0. 'coq/Coq_Reals_Exp_prop_exp_pos'#@#variant 'mat/not_nf_elim_not/1'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_2'#@#variant 'mat/A_SSO'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pow_le_mono_l' 'mat/le_times_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_mul_l' 'mat/times_exp'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sub_max_distr_r' 'mat/times_exp'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_max_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_Numbers_BinNums_Z_ind' 'mat/Q_ind'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_0_succ'#@#variant 'mat/lt_SO_nth_prime_n'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftl_land' 'mat/times_exp'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ggcd_correct_divisors' 'mat/R'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_succ_le' 'mat/times_SSO_pred'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_le_1_l' 'mat/divides_SO_n'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_pos_sub_diag' 'mat/eqb_n_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_succ_l' 'mat/Zplus_Zsucc'
0. 'coq/Coq_Sets_Multiset_multiset_ind' 'mat/powerset_ind'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_compare_antisym' 'mat/nat_compare_n_m_m_n'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftr_shiftr' 'mat/eq_minus_minus_minus_plus'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_compare_refl' 'mat/leb_refl'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_eq_sym'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lcm_1_l'#@#variant 'mat/Qtimes_Qone_q'
0. 'coq/Coq_Arith_Mult_mult_le_compat_r' 'mat/le_times_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div2_succ_double' 'mat/pred_Sn'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_assoc' 'mat/andb_assoc'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_nonneg' 'mat/lt_O_teta'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lxor_0_l' 'mat/Qtimes_Qone_q'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sub_max_distr_r' 'mat/times_exp'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_assoc' 'mat/assoc_plus'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_mul_mono_r' 'mat/times_exp'
0. 'coq/Coq_NArith_BinNat_N_eq_decidable' 'mat/decidable_eq_nat'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lxor_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_0' 'mat/eq_OZ_Zopp_OZ'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_succ_discr' 'mat/not_eq_n_Sn'
0. 'coq/Coq_fourier_Fourier_util_Rnot_lt_lt'#@#variant 'mat/lt_to_lt_O_minus'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_max_distr_l' 'mat/distr_times_plus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_0_l' 'mat/Qtimes_Qone_q'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_sub_l' 'mat/divides_gcd_n'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_glb' 'mat/divides_plus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_eq_decidable' 'mat/decidable_eq_Z'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lcm_mul_mono_r' 'mat/times_exp'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_stepr' 'mat/lt_to_le_to_lt'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftr_lxor' 'mat/times_minus_l'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_eq_trans'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_ldiff_0_l' 'mat/mod_O_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_max_distr' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_0_r' 'mat/Qtimes_q_OQ'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_T_OMEGA10_stable' 'mat/injective_nth_prime'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_nonneg' 'mat/lt_O_nth_prime_n'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_le_compat_l' 'mat/le_times_r'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_add_r' 'mat/divides_minus'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_T_OMEGA15_stable' 'mat/monotonic_A'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_assoc' 'mat/assoc_plus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_divide_l' 'mat/le_minus_m'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_log2_up_succ_log2' 'mat/le_teta'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_nonneg'#@#variant 'mat/not_nf_elim_not/0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_one_succ'#@#variant 'mat/B_SSSO'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_ggcd_greatest' 'mat/nat_compare_to_Prop'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_even_aux' 'mat/AA'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrtrem_spec' 'mat/Magma_OF_Group'
0. 'coq/Coq_NArith_BinNat_N_compare_eq' 'mat/same_atom_to_eq'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_direction_ind' 'mat/compare_ind'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_sub_mask_diag' 'mat/leb_refl'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftl_land' 'mat/times_plus_l'
0. 'coq/Coq_Arith_PeanoNat_Nat_square_spec' 'mat/times_SSO_n'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_add_pos_r'#@#variant 'mat/O_lt_const_to_le_times_const'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_2'#@#variant 'mat/B_SSSSO'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_0_r' 'mat/Ztimes_z_OZ'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_add_r' 'mat/le_plus_n_r'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_div2_double'#@#variant 'mat/Zsucc_Zpred'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_le_mono' 'mat/le_pred'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_0_l' 'mat/divides_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_0_l' 'mat/rtimes_one_r'
0. 'coq/Coq_NArith_BinNat_N_gcd_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_QArith_QArith_base_Qmult_lt_0_le_reg_r'#@#variant 'mat/lt_times_n_to_lt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_max_distr' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_1'#@#variant 'mat/A_SSSO'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_max_le_compat_r' 'mat/lt_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_le_mono' 'mat/divides_times'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_add_pos_l'#@#variant 'mat/lt_m_exp_nm'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div2_succ_double' 'mat/Zpred_Zsucc'
0. 'coq/Coq_ZArith_BinInt_Z_shiftl_0_l' 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_pos_eq'#@#variant 'mat/prime_to_smallest_factor'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_le_mono' 'mat/le_pred'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_lt_lin'#@#variant 'mat/divides_smallest_factor_n'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_m1'#@#variant 'mat/B_SSSSO'#@#variant
0. 'coq/Coq_NArith_Nnat_N2Nat_id' 'mat/factorize_defactorize'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lcm_mul_mono_l' 'mat/distr_times_plus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_0_l' 'mat/mod_O_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lcm_mul_mono_r' 'mat/times_plus_l'
0. 'coq/Coq_ZArith_BinInt_Z_land_lnot_diag' 'mat/Zplus_Zopp'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mod_1_r'#@#variant 'mat/exp_n_O0'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_0_r' 'mat/Ztimes_z_OZ'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_nonneg_l'#@#variant 'mat/le_log'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftl_0_l' 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lcm_assoc' 'mat/assoc_times'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_le_compat_r' 'mat/lt_plus_l'
0. 'coq/Coq_Init_Peano_plus_O_n' 'mat/Qtimes_Qone_q'
0. 'coq/Coq_NArith_BinNat_N_log2_pos'#@#variant 'mat/lt_SO_n_to_lt_O_pred_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_le_mono' 'mat/lt_to_lt_S_S'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_ldiff_diag' 'mat/minus_n_n'
0. 'coq/Coq_Reals_Rbasic_fun_RRle_abs' 'mat/lt_n_nth_prime_n'
0. 'coq/Coq_PArith_BinPos_Pos_le_preorder'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_id' 'mat/orb_refl'
0. 'coq/Coq_Reals_RIneq_INR_eq' 'mat/inj_neg'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_1'#@#variant 'mat/B_SSSSO'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_lt_mono' 'mat/le_times'
0. 'coq/Coq_Reals_R_sqrt_sqrt_pos'#@#variant 'mat/lt_SO_nth_prime_n'#@#variant
0. 'coq/Coq_ZArith_Zbool_Zgt_cases' 'mat/R'
0. 'coq/Coq_NArith_BinNat_N_add_succ_l' 'mat/Zplus_Zpred'
0. 'coq/Coq_ZArith_BinInt_Z_sgn_0' 'mat/eq_OZ_Zopp_OZ'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_1_r' 'mat/div_SO'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_trans' 'mat/trans_le'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_le_mono' 'mat/le_times'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_le_compat' 'mat/lt_plus'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_pred_sub' 'mat/plus_n_SO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_max_distr_l' 'mat/distr_times_minus'
0. 'coq/Coq_NArith_Ndist_ni_le_min_induc' 'mat/gcd1'
0. 'coq/Coq_Reals_R_sqrt_sqrt_lt_R0'#@#variant 'mat/lt_O_smallest_factor'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_nonneg'#@#variant 'mat/lt_SO_nth_prime_n'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_le_mono' 'mat/le_times'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_eq_sym'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zmult_lt_compat_l'#@#variant 'mat/lt_exp'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lor_assoc' 'mat/assoc_plus'
0. 'coq/Coq_ZArith_BinInt_Z_square_nonneg'#@#variant 'mat/id_axiom'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_min_distr_l' 'mat/distr_times_plus'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_trans' 'mat/trans_divides'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mod_1_r'#@#variant 'mat/mod_SO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_max_distr_l' 'mat/distr_times_plus'
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_divide_r' 'mat/divides_gcd_m'
0. 'coq/Coq_ZArith_BinInt_Z_pred_max_distr' 'mat/Zopp_Zplus'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_min_l' 'mat/le_minus_m'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_nonneg'#@#variant 'mat/prime_nth_prime'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_succ_r_prime' 'mat/times_n_Sm'
0. 'coq/Coq_Arith_PeanoNat_Nat_Even_or_Odd' 'mat/not_not_bertrand_to_bertrand'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_1_l' 'mat/Zsucc_Zplus_pos_O'
0. 'coq/Coq_ZArith_Zeven_Zeven_Sn' 'mat/le_SSO_fact'#@#variant
0. 'coq/Coq_NArith_BinNat_N_le_sub_l' 'mat/divides_gcd_n'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_le_succ_r' 'mat/ltW'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_le_lin'#@#variant 'mat/lt_sqrt_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_nonneg' 'mat/lt_O_teta'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_glb' 'mat/divides_plus'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_r' 'mat/le_plus_l'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pos_div_eucl_spec' 'mat/frac'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lor_eq_0_l' 'mat/andb_true_true'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_pos'#@#variant 'mat/prime_smallest_factor_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_strorder'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_ones_equiv'#@#variant 'mat/le_teta'#@#variant
0. 'coq/Coq_Reals_RIneq_tech_Rgt_minus' 'mat/O_lt_const_to_le_times_const'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_trans' 'mat/trans_lt'
0. 'coq/Coq_ZArith_BinInt_Z_mul_1_l'#@#variant 'mat/gcd_O_n'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_le_compat' 'mat/le_plus'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_land_lor_distr_r' 'mat/distr_times_plus'
0. 'coq/Coq_NArith_BinNat_N_succ_double_inj' 'mat/not_eq_S'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_eq_0_r' 'mat/eq_Qtimes_OQ_to_eq_OQ'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_assoc' 'mat/assoc_times'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_pred_pos' 'mat/S_pred'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_sub_distr_r' 'mat/times_exp'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_max_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_succ_le' 'mat/times_SSO_pred'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_2'#@#variant 'mat/B_SSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_eqb_refl' 'mat/nat_compare_n_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_add_r' 'mat/divides_minus'
0. 'coq/Coq_Reals_Rminmax_R_min_id' 'mat/gcd_n_n'
0. 'coq/Coq_NArith_BinNat_N_lt_irrefl' 'mat/Not_lt_n_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_nonneg'#@#variant 'mat/prime_nth_prime'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_divide_l' 'mat/le_minus_m'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_min_distr_l' 'mat/distr_times_plus'
0. 'coq/Coq_ZArith_BinInt_Z_eq_equiv'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_sub_l' 'mat/divides_gcd_nm/1'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_compare_refl' 'mat/leb_refl'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_sub_lt_add_r' 'mat/le_plus_to_minus_r'
0. 'coq/Coq_QArith_QArith_base_Qmult_le_compat_r'#@#variant 'mat/lt_exp1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ldiff_diag' 'mat/bc_n_n'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_nonneg_l' 'mat/lt_times_r1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div2_spec'#@#variant 'mat/plus_n_SO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_quot_lt'#@#variant 'mat/lt_div'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrtrem_spec' 'mat/Magma_OF_Monoid'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_leb_refl' 'mat/ltb_refl'
0. 'coq/Coq_NArith_BinNat_N_gcd_1_l'#@#variant 'mat/mod_O_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_1'#@#variant 'mat/A_SSSO'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lor_m1_r'#@#variant 'mat/Ztimes_z_OZ'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pred_succ' 'mat/Zsucc_Zpred'
0. 'coq/Coq_ZArith_Zquot_Zmult_rem_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_succ_max_distr' 'mat/Qinv_Qtimes\''
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_l' 'mat/le_plus_r'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_of_nat_succ' 'mat/pos_n_eq_S_n'
0. 'coq/Coq_ZArith_Zorder_Zmult_lt_compat_r' 'mat/lt_times_l1'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_compare_refl' 'mat/ltb_refl'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_add_distr_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_NArith_BinNat_N_sub_1_r'#@#variant 'mat/plus_n_SO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_lt_lin'#@#variant 'mat/divides_smallest_factor_n'#@#variant
0. 'coq/Coq_NArith_BinNat_N_succ_pred_pos' 'mat/S_pred'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_ZArith_Znat_Zabs2Nat_id' 'mat/factorize_defactorize'
0. 'coq/Coq_Reals_Rtrigo1_sin_PI2'#@#variant 'mat/A_SSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_min_distr_r' 'mat/times_exp'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_lxor_r' 'mat/plus_n_Sm'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_add_r' 'mat/exp_plus_times'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_lt_cancel' 'mat/le_S_S_to_le'
0. 'coq/Coq_QArith_Qcanon_Qcmult_1_l'#@#variant 'mat/Ztimes_Zone_l'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_le_mono' 'mat/le_plus'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tred_factor5_stable' 'mat/monotonic_sqrt'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sub_0_l' 'mat/mod_O_n'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_le_mono' 'mat/divides_times'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_le_lin'#@#variant 'mat/divides_smallest_factor_n'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_min_distr_l' 'mat/distr_times_minus'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_involutive' 'mat/finv_finv'
0. 'coq/Coq_PArith_BinPos_Pos_double_succ' 'mat/times_SSO'#@#variant
0. 'coq/Coq_fourier_Fourier_util_Rle_zero_pos_plus1'#@#variant 'mat/lt_O_smallest_factor'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_eq_refl'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_succ_diag_r' 'mat/lt_n_nth_prime_n'
0. 'coq/Coq_ZArith_BinInt_Z_lnot_involutive' 'mat/finv_finv'
0. 'coq/Coq_Arith_PeanoNat_Nat_eq_refl'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_NArith_BinNat_N_shiftl_land' 'mat/times_plus_l'
0. 'coq/Coq_Arith_Plus_plus_le_compat_l' 'mat/le_times_r'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_lt_cancel' 'mat/le_S_S_to_le'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_le_compat_l' 'mat/le_plus_r'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_divide_mono_r' 'mat/le_times_l'
0. 'coq/Coq_ZArith_BinInt_Z_add_max_distr_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_pos_l'#@#variant 'mat/lt_O_exp'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_sub_distr_r' 'mat/times_exp'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_compare_refl' 'mat/nat_compare_n_n'
0. 'coq/Coq_ZArith_BinInt_Z_add_lt_mono' 'mat/lt_times'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_reflexive'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_max_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_NArith_BinNat_N_sub_succ_l' 'mat/minus_Sn_m'
0. 'coq/Coq_Reals_R_sqrt_sqrt_pos' 'mat/lt_O_nth_prime_n'
0. 'coq/Coq_NArith_BinNat_N_gcd_0_l' 'mat/Qtimes_Qone_q'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_add_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_Measure_instance_0' 'mat/injective_nn'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_min_distr_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Arith_Lt_lt_not_le' 'mat/lt_to_not_le'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_le_compat' 'mat/lt_times'
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_pos'#@#variant 'mat/lt_O_S'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_assoc' 'mat/assoc_plus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_eq_refl'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qeq_eq_bool' 'mat/le_to_leb_true'
0. 'coq/Coq_NArith_BinNat_N_gcd_mul_mono_l' 'mat/distr_times_plus'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_lt_lin'#@#variant 'mat/lt_sqrt_n'#@#variant
0. 'coq/Coq_Init_Peano_le_S_n' 'mat/lt_S_S_to_lt'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sub_max_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrtrem_spec' 'mat/Magma_OF_PreGroup'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_double_inj' 'mat/not_eq_S'
0. 'coq/Coq_Arith_Factorial_lt_O_fact'#@#variant 'mat/lt_O_S'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_lnot_diag'#@#variant 'mat/rtimes_rinv'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_0_r' 'mat/Qtimes_q_OQ'
0. 'coq/Coq_ZArith_Zorder_Zplus_lt_reg_l' 'mat/lt_plus_to_lt_r'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_1_l'#@#variant 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zsucc_lt_compat' 'mat/le_to_le_pred'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_sub_l' 'mat/divides_gcd_nm/1'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_id' 'mat/gcd_n_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_nonneg' 'mat/lt_O_fact'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_lt_lin'#@#variant 'mat/lt_sqrt_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_le_mono' 'mat/le_times'
0. 'coq/Coq_PArith_BinPos_Pos_min_le_compat_r' 'mat/le_plus_l'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_refl' 'mat/divides_n_n'
0. 'coq/Coq_Reals_Rminmax_R_min_le_compat_l' 'mat/le_plus_r'
0. 'coq/Coq_PArith_BinPos_ZC4'#@#variant 'mat/nat_compare_n_m_m_n'
0. 'coq/Coq_ZArith_Znat_Zabs2N_id' 'mat/numeratorQ_nat_fact_all_to_Q'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_max_l' 'mat/le_plus_n_r'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_assoc' 'mat/assoc_plus'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_lt_strorder'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tplus_assoc_l_stable' 'mat/monotonic_A'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_ZArith_BinInt_Z_log2_le_lin'#@#variant 'mat/divides_smallest_factor_n'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pos_sub_diag' 'mat/leb_refl'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_succ_diag_r' 'mat/lt_n_nth_prime_n'
0. 'coq/Coq_Classes_RelationClasses_eq_equivalence' 'mat/transitive_eq'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_lor' 'mat/demorgan2'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftl_0_l' 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_land_lor_distr_l' 'mat/times_minus_l'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tred_factor0_stable' 'mat/monotonic_A'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_compare_succ_succ' 'mat/nat_compare_S_S'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_assoc' 'mat/andbA'
0. 'coq/Coq_NArith_BinNat_N_eq_trans'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_transitive'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_sub_lt' 'mat/lt_to_div_O'
0. 'coq/Coq_ZArith_BinInt_Z_ltb_irrefl' 'mat/ltb_refl'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_lt_mono_r'#@#variant 'mat/lt_times_r1'#@#variant
0. 'coq/Coq_ZArith_Zdiv_Zmult_mod_distr_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_land_m1_l'#@#variant 'mat/Qtimes_Qone_q'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_two_succ'#@#variant 'mat/B_SSSSO'#@#variant
0. 'coq/Coq_QArith_QOrderedType_QOrder_le_trans' 'mat/trans_le'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_gcd_divide_r' 'mat/divides_gcd_m'
0. 'coq/Coq_Arith_Min_le_min_r' 'mat/divides_gcd_nm/0'
0. 'coq/Coq_QArith_QArith_base_Q_Setoid'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_nonneg'#@#variant 'mat/prime_nth_prime'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_ldiff_diag' 'mat/bc_n_n'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_reg_r' 'mat/inj_plus_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sub_add' 'mat/divides_to_div'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_sqrt_up_succ_sqrt' 'mat/le_teta'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_1_r'#@#variant 'mat/Qtimes_q_OQ'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono' 'mat/divides_times'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_le_compat_l' 'mat/lt_plus_r'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_sub_mask_diag' 'mat/ltb_refl'
0. 'coq/Coq_PArith_BinPos_Pos_ggcd_greatest' 'mat/R'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_pow_succ_r' 'mat/exp_S'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_le_lin' 'mat/le_smallest_factor_n'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_assoc' 'mat/assoc_times'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_pow_gt_1' 'mat/lt_O_exp'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_div_eucl' 'mat/R'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono' 'mat/le_times'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_eq_refl'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_0_l' 'mat/Qtimes_Qone_q'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sub_diag' 'mat/bc_n_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_2'#@#variant 'mat/A_SSO'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_sqrt_sqrt_up' 'mat/le_times_SSO_n_exp_SSO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lcm_assoc' 'mat/assoc_plus'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_nonneg' 'mat/lt_O_fact'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_nonneg'#@#variant 'mat/prime_nth_prime'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_T_OMEGA11_stable' 'mat/increasing_nth_prime'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_lt_lin'#@#variant 'mat/lt_sqrt_n'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_eq_sym'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_2'#@#variant 'mat/A_SO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_1'#@#variant 'mat/B_SSSSO'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_land_diag' 'mat/orb_refl'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_ltb_irrefl' 'mat/leb_refl'
0. 'coq/Coq_NArith_BinNat_N_lor_0_l' 'mat/Ztimes_Zone_l'
0. 'coq/Coq_ZArith_Znat_Zabs2Nat_id' 'mat/defactorize_factorize'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_pos'#@#variant 'mat/le_SSO_fact'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_reflexive'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_eq_refl'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_NArith_BinNat_N_divide_reflexive'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_double_spec'#@#variant 'mat/eq_A_A\''
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_sub_le' 'mat/lt_to_div_O'
0. 'coq/Coq_QArith_Qminmax_Q_le_min_l' 'mat/divides_gcd_n'
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_pos' 'mat/le_SO_fact'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_max_min_distr' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_neq_0_succ' 'mat/not_eq_O_S'
0. 'coq/Coq_NArith_BinNat_N_even_succ' 'mat/pos_n_eq_S_n'
0. 'coq/Coq_Structures_OrderedTypeEx_N_as_OT_lt_trans' 'mat/trans_lt'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_pred' 'mat/pred_Sn'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_1_r' 'mat/exp_n_SO'
0. 'coq/Coq_NArith_Ndist_ni_le_min_1' 'mat/divides_gcd_nm/1'
0. 'coq/Coq_NArith_BinNat_N_pow_0_r'#@#variant 'mat/exp_n_O0'#@#variant
0. 'coq/Coq_NArith_BinNat_N_eq_refl'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_ZArith_Znumtheory_Zgcd_ass' 'mat/assoc_Ztimes'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_id' 'mat/defactorize_factorize'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_1_l' 'mat/Zpred_Zplus_neg_O'
0. 'coq/Coq_Init_Datatypes_bool_ind' 'mat/variance_ind'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_pos'#@#variant 'mat/prime_smallest_factor_n'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_sub_assoc' 'mat/eq_minus_plus_plus_minus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_reflexive'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_r' 'mat/lt_plus_l'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_le_compat_l' 'mat/lt_plus_r'
0. 'coq/Coq_QArith_Qcanon_Qcmult_integral'#@#variant 'mat/eq_Qtimes_OQ_to_eq_OQ'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_lt_cancel' 'mat/ltS\''
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_greatest' 'mat/divides_minus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_lt_succ_r' 'mat/ltW'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_min_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_rem_1_l'#@#variant 'mat/exp_n_O'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_le_mono' 'mat/lt_to_lt_S_S'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_of_nat_succ' 'mat/pos_n_eq_S_n'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_0_succ' 'mat/lt_O_teta'
0. 'coq/Coq_NArith_BinNat_N_add_lt_mono' 'mat/lt_plus'
0. 'coq/Coq_ZArith_Zlogarithm_ZERO_le_N_digits'#@#variant 'mat/not_nf_elim_not/1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_nonneg' 'mat/le_SO_fact'#@#variant
0. 'coq/Coq_Reals_RIneq_Rmult_lt_reg_l' 'mat/lt_times_to_lt'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_succ_diag_r' 'mat/le_n_fact_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_nonneg'#@#variant 'mat/not_nf_elim_not/1'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_min_distr_r' 'mat/times_exp'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_1_r' 'mat/plus_n_SO'
0. 'coq/Coq_NArith_BinNat_N_le_trans' 'mat/trans_le'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_min_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tmult_assoc_reduced_stable' 'mat/increasing_nth_prime'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_lxor_l' 'mat/Zplus_Zpred'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_le_mono' 'mat/le_plus'
0. 'coq/Coq_Reals_R_sqrt_sqrt_le_1_alt' 'mat/le_pred'
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_nonneg'#@#variant 'mat/lt_O_fact'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_lt_cancel' 'mat/lt_S_S_to_lt'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pow_inj_r'#@#variant 'mat/lt_times_n_to_lt_r'#@#variant
0. 'coq/Coq_Reals_RIneq_Rsqr_0' 'mat/A_SO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_eq_trans'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_add_max_distr_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_lt_antirefl' 'mat/Not_lt_n_n'
0. 'coq/Coq_Reals_Ranalysis4_Rcontinuity_abs' 'mat/injective_S'#@#variant
0. 'coq/Coq_Arith_Min_min_glb' 'mat/divides_plus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_le_mono_nonneg_r'#@#variant 'mat/lt_exp1'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_shuffle1' 'mat/ab_times_cd'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_preorder'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_add_distr_l' 'mat/distr_times_minus'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_1'#@#variant 'mat/A_SSO'#@#variant
0. 'coq/Coq_FSets_FSetPositive_PositiveSet_E_bits_lt_antirefl' 'mat/Not_lt_n_n'
0. 'coq/Coq_ZArith_Zorder_Zlt_0_minus_lt'#@#variant 'mat/lt_O_minus_to_lt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_assoc' 'mat/assoc_plus'
0. 'coq/Coq_QArith_Qcanon_Qcmult_plus_distr_l' 'mat/times_exp'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_eq_sym'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono' 'mat/le_plus'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_one_succ'#@#variant 'mat/A_SSSO'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_inj' 'mat/inj_S'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono' 'mat/le_plus'
0. 'coq/Coq_PArith_BinPos_Pos_min_le_compat_l' 'mat/le_times_r'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_max_distr_l' 'mat/distr_times_minus'
0. 'coq/Coq_Init_Peano_mult_n_O' 'mat/Ztimes_z_OZ'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pos_sub_diag' 'mat/nat_compare_n_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_max_distr' 'mat/distr_times_plus'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_le_min_r' 'mat/divides_gcd_m'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_succ_l' 'mat/lt_S_to_lt'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_lt_mono' 'mat/lt_times'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_nonneg'#@#variant 'mat/lt_SO_nth_prime_n'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_sqrt_spec' 'mat/denom'
0. 'coq/Coq_ZArith_Zorder_Zlt_0_le_0_pred'#@#variant 'mat/lt_SO_n_to_lt_O_pred_n'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zsucc_gt_compat' 'mat/le_S_S'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lor_land_distr_r' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_land_0_r' 'mat/Qtimes_q_OQ'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_trans' 'mat/trans_divides'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_le_compat' 'mat/divides_times'
0. 'coq/Coq_QArith_QArith_base_Qmult_lt_0_le_reg_r'#@#variant 'mat/lt_exp_to_lt1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_min_l' 'mat/divides_gcd_nm/1'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono' 'mat/lt_plus'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_0_discr' 'mat/not_eq_O_S'
0. 'coq/Coq_ZArith_BinInt_Z_shiftl_ldiff' 'mat/times_plus_l'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_0_succ'#@#variant 'mat/not_nf_elim_not/0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_div_1_r' 'mat/exp_n_SO'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_ltb_irrefl' 'mat/eqb_n_n'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_lor' 'mat/demorgan1'
0. 'coq/Coq_PArith_BinPos_Pos_add_le_mono' 'mat/lt_plus'
0. 'coq/Coq_Reals_Rtrigo_def_cosn_no_R0' 'mat/not_eq_OZ_neg'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_sub_distr_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftr_shiftr' 'mat/exp_exp_times'
0. 'coq/Coq_ZArith_BinInt_Z_divide_transitive'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_eq_1_l' 'mat/andb_true_true'
0. 'coq/Coq_NArith_BinNat_N_mul_divide_mono_r' 'mat/le_times_l'
0. 'coq/Coq_QArith_QArith_base_Qeq_bool_neq' 'mat/divides_b_false_to_not_divides'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lor_land_distr_r' 'mat/distr_times_plus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_max_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_land_lor_distr_l' 'mat/times_minus_l'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_decidable' 'mat/decidable_le'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pred_0' 'mat/A_SO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_0_l' 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mod_1_l'#@#variant 'mat/exp_n_O'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_leb_refl' 'mat/nat_compare_n_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_assoc' 'mat/andbA'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_l' 'mat/lt_plus_r'
0. 'coq/Coq_Arith_PeanoNat_Nat_lor_diag' 'mat/orb_refl'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_le_lin'#@#variant 'mat/divides_smallest_factor_n'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_le_compat' 'mat/le_times'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lor_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_sub_distr_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_le_lin' 'mat/le_smallest_factor_n'
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_divide/0' 'mat/le_minus_m'
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_assoc' 'mat/assoc_plus'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_ggcd_greatest' 'mat/Z_compare_to_Prop'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_divide_mono_l' 'mat/le_times_r'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftr_0_l' 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_le_compat' 'mat/le_plus'
0. 'coq/Coq_Arith_PeanoNat_Nat_sub_0_l' 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_lt_cancel' 'mat/lt_S_S_to_lt'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_decidable' 'mat/decidable_le'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_lt_cancel' 'mat/ltS\''
0. 'coq/Coq_Arith_PeanoNat_Nat_lcm_mul_mono_r' 'mat/times_exp'
0. 'coq/Coq_Structures_OrdersEx_PositiveOrderedTypeBits_lt_strorder'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qcmult_assoc' 'mat/andb_assoc'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_ge_cases' 'mat/not_lt_to_le'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_compare_eq' 'mat/eqb_true_to_eq'
0. 'coq/Coq_ZArith_BinInt_Z_land_0_l' 'mat/mod_O_n'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_sub_mask_neg' 'mat/le_to_leb_true'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_succ_r' 'mat/plus_n_Sm'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_land_0_l' 'mat/mod_O_n'
0. 'coq/Coq_Arith_PeanoNat_Nat_min_le_compat_l' 'mat/le_times_r'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_r' 'mat/le_times_l'
0. 'coq/Coq_NArith_BinNat_N_sub_le_mono_l' 'mat/monotonic_le_minus_r'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_nonneg'#@#variant 'mat/lt_O_S'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_reduce_lhyps_valid'#@#variant 'mat/increasing_nth_prime'
0. 'coq/Coq_ZArith_BinInt_Z_pos_sub_diag' 'mat/nat_compare_n_n'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_le_mono' 'mat/divides_times'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_le_compat_r' 'mat/le_times_l'
0. 'coq/Coq_NArith_BinNat_N_ggcd_correct_divisors' 'mat/leb_to_Prop'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_divide_r' 'mat/divides_gcd_m'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_min_r' 'mat/divides_gcd_m'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_le_mono_nonneg_l' 'mat/lt_times_r1'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_le_compat' 'mat/le_times'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lcm_0_r' 'mat/times_n_O'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_pos_l'#@#variant 'mat/lt_O_exp'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_ggcd_greatest' 'mat/eqZb_to_Prop'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_0_r' 'mat/Qtimes_q_OQ'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_pred_succ' 'mat/pred_Sn'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_eq_refl'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_double_mul' 'mat/Zplus_Zpred'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_preorder'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_min_distr_r' 'mat/times_exp'
0. 'coq/Coq_Reals_Rtrigo1_sin_2PI'#@#variant 'mat/B_SSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_greatest' 'mat/divides_minus'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_nonneg_l'#@#variant 'mat/lt_times_r1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ggcd_correct_divisors' 'mat/Z_compare_to_Prop'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_eq_sym'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_lt_0'#@#variant 'mat/ltn_to_ltO'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_eq_1_l' 'mat/andb_true_true'
0. 'coq/Coq_NArith_BinNat_N_add_le_lt_mono' 'mat/le_to_lt_to_plus_lt'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_nonneg' 'mat/lt_O_nth_prime_n'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrtrem_spec' 'mat/Magma_OF_PreGroup'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_quot_factor'#@#variant 'mat/eq_gcd_div_div_div_gcd'#@#variant
0. 'coq/Coq_FSets_FSetPositive_PositiveSet_eq_trans' 'mat/trans_lt'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftr_ldiff' 'mat/times_minus_l'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_le_compat_r' 'mat/lt_plus_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_r' 'mat/lt_plus_l'
0. 'coq/Coq_NArith_BinNat_N_eq_trans'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/__constr_Coq_Init_Peano_le_0_2' 'mat/ltW'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_pow_succ_r' 'mat/times_n_Sm'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_factor_r' 'mat/le_plus_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_nonneg' 'mat/le_SO_fact'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_compare_refl' 'mat/leb_refl'
0. 'coq/Coq_NArith_BinNat_N_add_pos_l'#@#variant 'mat/lt_O_exp'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_eq_mul_0_r' 'mat/eq_Qtimes_OQ_to_eq_OQ'
0. 'coq/Coq_PArith_BinPos_Pos_ggcd_greatest' 'mat/eqZb_to_Prop'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_assoc' 'mat/assoc_plus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_lxor_l' 'mat/Zplus_Zpred'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_l' 'mat/le_times_r'
0. 'coq/Coq_Reals_R_sqrt_sqrt_1' 'mat/eq_OZ_Zopp_OZ'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_nonneg'#@#variant 'mat/lt_O_nth_prime_n'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_add_max_distr_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_quot_le_mono'#@#variant 'mat/lt_times_l1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_transitive'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_Reals_R_sqrt_sqrt_0' 'mat/eq_OZ_Zopp_OZ'
0. 'coq/Coq_NArith_BinNat_N_min_le_compat_r' 'mat/lt_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_refl' 'mat/divides_n_n'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tred_factor2_stable' 'mat/injective_S'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lor_m1_l'#@#variant 'mat/mod_O_n'
0. 'coq/Coq_Arith_PeanoNat_Nat_max_0_l' 'mat/Ztimes_Zone_l'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_land_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_ZArith_BinInt_Z_shiftr_land' 'mat/times_plus_l'
0. 'coq/__constr_Coq_Classes_CMorphisms_apply_subrelation_0_1' 'mat/daemon'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_1'#@#variant 'mat/A_SSO'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_pos_l'#@#variant 'mat/lt_O_exp'#@#variant
0. 'coq/Coq_NArith_Ndist_le_ni_le' 'mat/lt_to_Zlt_pos_pos'
0. 'coq/Coq_ZArith_Zsqrt_compat_Zsqrt_plain_is_pos' 'mat/lt_O_smallest_factor'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_1_r' 'mat/times_n_SO'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_assoc' 'mat/assoc_times'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_assoc' 'mat/assoc_times'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_nonneg'#@#variant 'mat/lt_O_S'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_sub_add' 'mat/plus_minus_m_m'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_le_mono' 'mat/le_plus'
0. 'coq/Coq_NArith_BinNat_N_log2_pos'#@#variant 'mat/prime_smallest_factor_n'#@#variant
0. 'coq/Coq_NArith_BinNat_N_gcd_divide_l' 'mat/le_minus_m'
0. 'coq/Coq_Reals_RIneq_Rmult_minus_distr_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tplus_permute_stable' 'mat/increasing_nth_prime'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_reg_l' 'mat/inj_plus_r'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono' 'mat/le_plus'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_lor' 'mat/demorgan1'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_lt_strorder'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_NArith_BinNat_N_ggcd_correct_divisors' 'mat/ltb_to_Prop'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_0' 'mat/eq_OZ_Zopp_OZ'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_assoc' 'mat/assoc_times'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_pred_l' 'mat/Zplus_Zsucc'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lxor_0_l' 'mat/Qtimes_Qone_q'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_irrefl' 'mat/Not_lt_n_n'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_lt_mono' 'mat/lt_times'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_of_Q' 'mat/factorize_defactorize'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_ggcd_correct_divisors' 'mat/eqZb_to_Prop'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_sub_mask_diag' 'mat/eqb_n_n'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_1_l' 'mat/gcd_O_n'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_1_l' 'mat/Qtimes_Qone_q'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftr_lor' 'mat/times_minus_l'
0. 'coq/Coq_NArith_BinNat_N_lor_assoc' 'mat/assoc_plus'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_compare_eq' 'mat/eqb_true_to_eq'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_sqrt_spec' 'mat/pregroup'
0. 'coq/Coq_ZArith_BinInt_Z_le_sqrt_up_succ_sqrt' 'mat/le_teta'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zle_0_nat'#@#variant 'mat/sieve_sorted'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_wf_0' 'mat/antisymmetric_le'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_lt_mono' 'mat/le_plus'
0. 'coq/Coq_Reals_RIneq_Ropp_plus_distr' 'mat/Zopp_Zplus'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_succ_l' 'mat/lt_S_to_lt'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_quotrem_eq' 'mat/R'
0. 'coq/Coq_QArith_Qabs_Qabs_nonneg'#@#variant 'mat/lt_O_teta'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_eq_0_r' 'mat/eq_Qtimes_OQ_to_eq_OQ'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_reflexive'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_le_min_r' 'mat/divides_gcd_nm/0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_strorder'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono' 'mat/lt_times'
0. 'coq/Coq_ZArith_Zdiv_Zmult_mod_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_Reals_Rtrigo1_SIN_bound/0' 'mat/lt_SO_nth_prime_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_succ_le' 'mat/times_SSO_pred'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftr_lor' 'mat/times_exp'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_succ_r' 'mat/exp_S'
0. 'coq/Coq_MMaps_MMapPositive_PositiveMap_E_eq_equiv'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_beq_true' 'mat/same_atom_to_eq'
0. 'coq/Coq_ZArith_BinInt_Z_add_max_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_decidable' 'mat/decidable_le'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_nonneg'#@#variant 'mat/not_nf_elim_not/0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_land_assoc' 'mat/assoc_plus'
0. 'coq/Coq_Reals_Rprod_le_n_2n'#@#variant 'mat/lt_n_nth_prime_n'
0. 'coq/Coq_ZArith_Zbool_Zge_cases' 'mat/eqfb_to_Prop'
0. 'coq/Coq_ZArith_Znat_N2Z_id' 'mat/numeratorQ_nat_fact_all_to_Q'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftl_lxor' 'mat/times_minus_l'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_0_succ' 'mat/lt_O_fact'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pos_sub_diag' 'mat/leb_refl'
0. 'coq/Coq_NArith_BinNat_N_shiftr_lxor' 'mat/times_minus_l'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_1_succ' 'mat/lt_O_nth_prime_n'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_1' 'mat/A_SO'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_0_l' 'mat/Qtimes_Qone_q'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_1_r'#@#variant 'mat/Qtimes_q_OQ'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_add_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono' 'mat/lt_plus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_ge_cases' 'mat/not_lt_to_le'
0. 'coq/Coq_PArith_BinPos_Pos_lt_1_succ' 'mat/lt_O_fact'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_sub_distr_l' 'mat/distr_times_plus'
0. 'coq/Coq_Reals_Rbasic_fun_Rle_max_compat_l' 'mat/lt_plus_r'
0. 'coq/Coq_Reals_Exp_prop_exp_pos'#@#variant 'mat/lt_SO_nth_prime_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_mul_mono_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_min_distr_r' 'mat/times_exp'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_add_distr_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lcm_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_ZArith_BinInt_Zminus_succ_l' 'mat/Zplus_Zsucc'
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_0_l' 'mat/Qtimes_Qone_q'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_land_lor_distr_l' 'mat/times_plus_l'
0. 'coq/Coq_NArith_BinNat_N_log2_2'#@#variant 'mat/B_SSSSO'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_compare_eq' 'mat/eqb_true_to_eq'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_add_r' 'mat/divides_minus'
0. 'coq/Coq_PArith_BinPos_Pos_mul_min_distr_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_min_distr_r' 'mat/times_exp'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_antisymm' 'mat/antisym_le'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_nonneg'#@#variant 'mat/lt_O_fact'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_ltb_irrefl' 'mat/ltb_refl'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_eqb_refl' 'mat/nat_compare_n_n'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_lt_succ' 'mat/ltW'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_nonneg' 'mat/lt_O_S'
0. 'coq/Coq_Init_Datatypes_idProp' 'mat/daemon0'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_sub_lt_add_r' 'mat/le_minus_to_plus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_nonneg' 'mat/lt_O_nth_prime_n'
0. 'coq/Coq_ZArith_Zorder_Zplus_lt_compat_l' 'mat/le_times_r'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_pos_r'#@#variant 'mat/lt_O_gcd'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lcm_mul_mono_r' 'mat/times_exp'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_eq_trans'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_add_r' 'mat/le_plus_n_r'
0. 'coq/Coq_ZArith_BinInt_Z_shiftl_ldiff' 'mat/times_minus_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div_small' 'mat/eq_div_O'
0. 'coq/Coq_NArith_BinNat_N_peano_ind' 'mat/nat_ind'
0. 'coq/Coq_NArith_BinNat_N_eq_equiv'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_max_distr_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_0_l' 'mat/rtimes_one_r'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_assoc' 'mat/assoc_times'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_leb_refl' 'mat/ltb_refl'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_assoc' 'mat/andbA'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_le_mono' 'mat/le_S_S'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_nonneg'#@#variant 'mat/lt_O_teta'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_eq_0_r' 'mat/eq_Qtimes_OQ_to_eq_OQ'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_glb_lt' 'mat/divides_plus'
0. 'coq/Coq_Arith_PeanoNat_Nat_eq_decidable' 'mat/decidable_eq_nat'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lxor_assoc' 'mat/assoc_plus'
0. 'coq/Coq_Arith_PeanoNat_Nat_min_le_compat' 'mat/le_plus'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lxor_0_l' 'mat/Ztimes_Zone_l'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_lt_mono' 'mat/le_times'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lor_0_l' 'mat/Qtimes_Qone_q'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_add_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_le_compat_r' 'mat/le_times_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lcm_0_l' 'mat/mod_O_n'
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_pos'#@#variant 'mat/le_SSO_fact'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_pos_le' 'mat/divides_to_le'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pos_sub_diag' 'mat/ltb_refl'
0. 'coq/Coq_Reals_ROrderedType_R_as_OT_eq_equiv'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_eq_trans'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_le_mono' 'mat/le_plus'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_lt_cancel' 'mat/le_S_S_to_le'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_double_add' 'mat/Qinv_Qtimes\''
0. 'coq/Coq_QArith_Qcanon_Qcle_not_lt' 'mat/lt_to_not_le'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_decidable' 'mat/decidable_le'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftl_shiftl' 'mat/eq_minus_minus_minus_plus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lor_diag' 'mat/orb_refl'
0. 'coq/Coq_NArith_BinNat_N_ggcd_correct_divisors' 'mat/R'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_succ_min_distr' 'mat/Qinv_Qtimes\''
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_divide_mono_l' 'mat/le_plus_r'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftl_land' 'mat/times_plus_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_land_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_Arith_PeanoNat_Nat_compare_eq' 'mat/eqb_true_to_eq'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_nonneg_l'#@#variant 'mat/lt_times_r1'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_ldiff_m1_r'#@#variant 'mat/bc_n_O'#@#variant
0. 'coq/__constr_Coq_Classes_Morphisms_PartialApplication_0_1' 'mat/daemon1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_le_compat' 'mat/lt_plus'
0. 'coq/Coq_ZArith_BinInt_Z_min_id' 'mat/orb_refl'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_le_mono' 'mat/ltS'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_sqrt_spec' 'mat/fsort'
0. 'coq/Coq_NArith_BinNat_N_gcd_mul_mono_r' 'mat/times_minus_l'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_leb_refl' 'mat/leb_refl'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div_eucl_spec' 'mat/R'
0. 'coq/Coq_Arith_PeanoNat_Nat_min_le_compat' 'mat/le_times'
0. 'coq/Coq_QArith_Qcanon_Qclt_le_weak' 'mat/lt_to_le'
0. 'coq/Coq_Reals_RIneq_Rle_0_sqr'#@#variant 'mat/lt_O_nth_prime_n'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_nlt_succ_diag_l' 'mat/not_le_Sn_n'
0. 'coq/Coq_PArith_BinPos_Pos_eq_refl'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_transitive'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lcm_mul_mono_r' 'mat/times_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_1'#@#variant 'mat/B_SSSO'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_nonneg'#@#variant 'mat/not_nf_elim_not/0'
0. 'coq/Coq_ZArith_BinInt_Z_mod_1_l'#@#variant 'mat/exp_n_O'#@#variant
0. 'coq/Coq_Bool_Bool_negb_orb' 'mat/demorgan1'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_max_distr_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_land_assoc' 'mat/assoc_plus'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_ltb_irrefl' 'mat/ltb_refl'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_1'#@#variant 'mat/A_SO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftl_lxor' 'mat/times_exp'
0. 'coq/Coq_Arith_PeanoNat_Nat_max_le_compat_l' 'mat/le_times_r'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_sqrt_sqrt_up' 'mat/le_times_SSO_n_exp_SSO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_0_l' 'mat/divides_SO_n'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_sub_lt' 'mat/eq_minus_n_m_O'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_eq_trans'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_eq_sym'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_pow_le_mono_r'#@#variant 'mat/lt_times_r1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_le_incl' 'mat/lt_to_le'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_le_compat' 'mat/le_plus'
0. 'coq/Coq_Arith_Gt_gt_trans' 'mat/trans_lt'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_eq_sym'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_lt_mono' 'mat/le_plus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_one_succ'#@#variant 'mat/B_SSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_le_compat' 'mat/le_plus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_pos'#@#variant 'mat/le_SSO_fact'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_involutive' 'mat/opposite_direction_idempotent'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_1_l' 'mat/exp_SO_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_nonneg_r'#@#variant 'mat/lt_exp1'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_divide_mono_l' 'mat/le_times_r'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_div_eucl' 'mat/eqZb_to_Prop'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_add_r' 'mat/divides_plus'
0. 'coq/Coq_Init_Datatypes_CompOpp_involutive' 'mat/Zopp_Zopp'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_le_lin'#@#variant 'mat/divides_smallest_factor_n'#@#variant
0. 'coq/Coq_Reals_R_sqrt_sqrt_1' 'mat/A_SO'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_reduce_lhyps_valid'#@#variant 'mat/injective_nth_prime'#@#variant
0. 'coq/Coq_ZArith_Znat_N2Z_id' 'mat/defactorize_factorize'
0. 'coq/Coq_Reals_R_sqrt_sqrt_0' 'mat/A_SO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_inj_r'#@#variant 'mat/inj_times_r1'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lcm_assoc' 'mat/assoc_plus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lcm_1_r' 'mat/times_n_SO'
0. 'coq/Coq_Init_Peano_le_S_n' 'mat/ltS\''
0. 'coq/Coq_QArith_Qreals_Rle_Qle' 'mat/Zlt_pos_pos_to_lt'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lxor_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_eq_refl'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zmult_le_compat_r' 'mat/lt_exp1'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_nonneg' 'mat/lt_O_fact'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftl_lxor' 'mat/times_minus_l'
0. 'coq/Coq_FSets_FSetPositive_PositiveSet_compare_bool_inv' 'mat/nat_compare_n_m_m_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_transitive'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_sub_le' 'mat/eq_minus_n_m_O'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_succ_l' 'mat/Zplus_Zsucc'
0. 'coq/Coq_Reals_Rminmax_RHasMinMax_min_l' 'mat/lt_to_eq_mod'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_involutive' 'mat/eq_notb_notb_b_b'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_sqrt_spec' 'mat/fsort'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tminus_def_stable' 'mat/injective_S'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_nonneg'#@#variant 'mat/lt_O_nth_prime_n'#@#variant
0. 'coq/Coq_Reals_RIneq_Rplus_le_compat' 'mat/divides_times'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_max_distr_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftr_lor' 'mat/times_minus_l'
0. 'coq/Coq_NArith_BinNat_N_max_le_compat_r' 'mat/lt_plus_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_strorder'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lt_succ_l' 'mat/lt_S_to_lt'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_add_distr_l' 'mat/distr_times_plus'
0. 'coq/__constr_Coq_Classes_Morphisms_normalization_done_0_1' 'mat/daemon0'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_eq_trans'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_land_diag' 'mat/gcd_n_n'
0. 'coq/Coq_ZArith_Zdiv_Zmod_0_l' 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_quot_factor' 'mat/eq_div_plus'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_assoc' 'mat/assoc_times'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_add_r' 'mat/divides_minus'
0. 'coq/Coq_Reals_RIneq_le_INR' 'mat/lt_to_Zlt_pos_pos'
0. 'coq/Coq_Reals_RIneq_Rplus_opp_l' 'mat/orb_not_b_b'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_le_mono_r'#@#variant 'mat/lt_times_r1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_even_pred' 'mat/pos_n_eq_S_n'
0. 'coq/Coq_Reals_Rtrigo1_cos_PI'#@#variant 'mat/A_SSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_reg_l' 'mat/inj_plus_r'
0. 'coq/Coq_Reals_Rminmax_R_min_max_distr' 'mat/distr_times_plus'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_pred_l' 'mat/le_prim_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_pred_l' 'mat/le_prim_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_reflexive'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_QArith_Qminmax_Q_le_min_r' 'mat/divides_gcd_m'
0. 'coq/Coq_Reals_RIneq_Rle_0_sqr' 'mat/lt_O_nth_prime_n'
0. 'coq/Coq_ZArith_Zquot_Z_quot_monotone' 'mat/lt_exp1'
0. 'coq/Coq_NArith_BinNat_N_shiftl_lor' 'mat/times_exp'
0. 'coq/Coq_ZArith_BinInt_Z_log2_succ_le' 'mat/times_SSO_pred'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_nonneg'#@#variant 'mat/lt_SO_nth_prime_n'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_le_compat' 'mat/lt_plus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_nonneg' 'mat/lt_O_S'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_rem_opp_l_prime' 'mat/Zplus_Zpred'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_assoc' 'mat/andbA'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_nonneg'#@#variant 'mat/lt_O_nth_prime_n'#@#variant
0. 'coq/Coq_Reals_Rtrigo_def_cosn_no_R0' 'mat/not_eq_numerator_nfa_zero'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_div_eucl' 'mat/eqfb_to_Prop'
0. 'coq/Coq_QArith_Qcanon_Qcplus_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_succ_diag_r' 'mat/lt_n_nth_prime_n'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div2_spec'#@#variant 'mat/plus_n_SO'#@#variant
0. 'coq/Coq_MMaps_MMapPositive_PositiveMap_E_lt_strorder'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_compare_xO_xO' 'mat/nat_compare_S_S'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono' 'mat/lt_times'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_neq_succ_0' 'mat/not_le_Sn_O'
0. 'coq/Coq_NArith_BinNat_N_sqrtrem_spec' 'mat/num'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_le_mono_nonneg_l'#@#variant 'mat/lt_times_r1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_le_compat_r' 'mat/lt_plus_l'
0. 'coq/Coq_NArith_Ndigits_Nless_not_refl' 'mat/ltb_refl'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_0_l' 'mat/rtimes_one_r'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_2'#@#variant 'mat/A_SSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_pred_l' 'mat/le_sqrt_n_n'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_gt_cases' 'mat/not_lt_to_le'
0. 'coq/Coq_ZArith_BinInt_Z_lt_add_pos_r'#@#variant 'mat/O_lt_const_to_le_times_const'#@#variant
0. 'coq/Coq_ZArith_BinInt_Zmult_integral' 'mat/eq_Qtimes_OQ_to_eq_OQ'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_succ' 'mat/Zsucc_Zpred'
0. 'coq/Coq_Reals_RIneq_Rgt_ge' 'mat/lt_to_le'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_nonneg' 'mat/lt_O_teta'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_eq_decidable' 'mat/decidable_eq_fraction'
0. 'coq/Coq_PArith_BinPos_Pos_max_min_distr' 'mat/distr_times_minus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lxor_0_l' 'mat/rtimes_one_r'
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_nonneg_l'#@#variant 'mat/le_log'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_nonneg' 'mat/lt_O_nth_prime_n'
0. 'coq/Coq_NArith_BinNat_N_odd_succ' 'mat/pos_n_eq_S_n'
0. 'coq/Coq_ZArith_BinInt_Z_sub_diag' 'mat/bc_n_n'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_nonneg'#@#variant 'mat/prime_nth_prime'
0. 'coq/Coq_ZArith_BinInt_Z_gcd_div_factor' 'mat/eq_gcd_div_div_div_gcd'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_even_aux' 'mat/pregroup'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_le_compat_l' 'mat/le_times_r'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lcm_0_l' 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_ZArith_Zquot_Zmult_rem_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_0'#@#variant 'mat/B_SSSO'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_0_succ'#@#variant 'mat/lt_SO_nth_prime_n'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_nonneg'#@#variant 'mat/lt_O_nth_prime_n'#@#variant
0. 'coq/Coq_QArith_Qminmax_Q_max_le_compat' 'mat/divides_times'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_2'#@#variant 'mat/eq_OZ_Zopp_OZ'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftl_land' 'mat/times_plus_l'
0. 'coq/Coq_PArith_BinPos_Pos_max_1_l' 'mat/Ztimes_Zone_l'
0. 'coq/Coq_ZArith_BinInt_Z_land_lor_distr_l' 'mat/times_minus_l'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_eq_trans'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_le_trans' 'mat/lt_to_le_to_lt'
0. 'coq/Coq_NArith_BinNat_N_compare_refl' 'mat/ltb_refl'
0. 'coq/Coq_NArith_BinNat_N_mod_1_r'#@#variant 'mat/exp_n_O0'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_leb_refl' 'mat/eqb_n_n'
0. 'coq/Coq_Reals_Rtrigo_def_cosh_0' 'mat/B_SSSSO'#@#variant
0. 'coq/Coq_Reals_Exp_prop_div2_not_R0'#@#variant 'mat/le_SSO_fact'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_le_mono_l' 'mat/lt_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_eqb_refl' 'mat/ltb_refl'
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_pos_le'#@#variant 'mat/divides_to_le'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_nonneg'#@#variant 'mat/lt_O_nth_prime_n'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_0_succ'#@#variant 'mat/lt_O_S'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_diag' 'mat/bc_n_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_simpl_r' 'mat/minus_plus_m_m'
0. 'coq/Coq_NArith_BinNat_N_sqrt_le_mono' 'mat/le_pred'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lor_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_trans' 'mat/trans_le'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_eq_term_false' 'mat/eqb_false_to_not_eq'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lcm_1_l'#@#variant 'mat/Qtimes_Qone_q'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_max_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_compare_eq' 'mat/same_atom_to_eq'
0. 'coq/Coq_Reals_Rtrigo_reg_continuity_sin' 'mat/monotonic_A'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_le_log2_log2_up' 'mat/le_B_A'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_nonneg' 'mat/lt_O_teta'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_T_OMEGA11_stable' 'mat/injective_nth_prime'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_pred_l' 'mat/le_prim_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_le_mono_r'#@#variant 'mat/le_log'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_land_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_lt_cancel' 'mat/le_S_S_to_le'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_greatest' 'mat/divides_plus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sub_min_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_T_OMEGA16_stable' 'mat/monotonic_A'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_succ_l' 'mat/Zplus_Zpred'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftl_lxor' 'mat/times_exp'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_nonneg' 'mat/lt_O_teta'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_ggcd_greatest' 'mat/nat_compare_to_Prop'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_quot_factor' 'mat/eq_gcd_div_div_div_gcd'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_le_lt_mono' 'mat/le_to_lt_to_plus_lt'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_lt_cancel' 'mat/ltS\''
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_unique_prime' 'mat/gcd1'
0. 'coq/Coq_Arith_Gt_gt_n_S' 'mat/ltS'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrtrem_spec' 'mat/segment_finType'
0. 'coq/Coq_NArith_BinNat_N_eq_equiv'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_lt_cancel' 'mat/lt_S_S_to_lt'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_0' 'mat/eq_OZ_Zopp_OZ'
0. 'coq/Coq_NArith_BinNat_N_eq_sym'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_2'#@#variant 'mat/A_SSSO'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_strorder'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_min_distr' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_NArith_Nnat_N2Nat_id' 'mat/defactorize_factorize'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_2'#@#variant 'mat/B_SSSSO'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_eq_decidable' 'mat/bool_to_decidable_eq'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_le_compat' 'mat/lt_times'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftr_shiftr' 'mat/eq_minus_minus_minus_plus'
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_2'#@#variant 'mat/B_SSSSO'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_le_compat' 'mat/lt_times'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_nonneg' 'mat/lt_O_nth_prime_n'
0. 'coq/Coq_PArith_BinPos_Pos_min_glb' 'mat/divides_minus'
0. 'coq/Coq_Reals_RIneq_Rnot_ge_gt' 'mat/not_lt_to_le'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_eq_refl'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_eq_trans'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qle_shift_div_r'#@#variant 'mat/le_times_to_le_div2'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_nonneg' 'mat/lt_O_fact'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono' 'mat/lt_plus'
0. 'coq/Coq_PArith_Pnat_Pos2Nat_inj' 'mat/inj_neg'
0. 'coq/Coq_QArith_Qabs_Qle_Qabs' 'mat/le_n_fact_n'
0. 'coq/Coq_Classes_RelationClasses_eq_Symmetric' 'mat/symmetric_eq'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_div_factor' 'mat/eq_div_plus'
0. 'coq/Coq_NArith_BinNat_N_lt_le_trans' 'mat/lt_to_le_to_lt'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_1_l'#@#variant 'mat/rtimes_one_r'
0. 'coq/Coq_NArith_BinNat_N_le_add_r' 'mat/le_plus_n_r'
0. 'coq/Coq_Reals_Rminmax_R_max_le_compat' 'mat/lt_plus'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_nonneg'#@#variant 'mat/lt_SO_nth_prime_n'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_le_compat_l' 'mat/le_times_r'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_succ_diag_r' 'mat/le_n_fact_n'
0. 'coq/Coq_NArith_BinNat_N_lt_strorder'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_mul_r' 'mat/eq_div_div_div_times'
0. 'coq/Coq_NArith_BinNat_N_gcd_1_r'#@#variant 'mat/Ztimes_z_OZ'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_0_r'#@#variant 'mat/exp_n_O0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_land_diag' 'mat/orb_refl'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_gcd_greatest' 'mat/divides_minus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lxor_m1_r'#@#variant 'mat/plus_n_SO'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pred_le_mono' 'mat/ltS'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_min_distr' 'mat/Qinv_Qtimes\''
0. 'coq/Coq_Arith_PeanoNat_Nat_sub_le_mono_r' 'mat/le_times_l'
0. 'coq/Coq_QArith_QArith_base_Qplus_le_compat' 'mat/le_plus'
0. 'coq/Coq_NArith_BinNat_N_mul_min_distr_l' 'mat/distr_times_plus'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_eqk_refl'#@#variant 'mat/incl_A_A'
0. 'coq/Coq_ZArith_BinInt_Z_eq_sym'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_Reals_R_sqr_Rsqr_1' 'mat/A_SO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sub_0_l' 'mat/mod_O_n'
0. 'coq/Coq_NArith_BinNat_N_gcd_diag' 'mat/orb_refl'
0. 'coq/Coq_QArith_QArith_base_Q_Setoid'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_le_mono' 'mat/le_plus'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_diag' 'mat/gcd_n_n'
0. 'coq/Coq_Reals_RIneq_Rle_trans' 'mat/trans_lt'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrtrem_spec' 'mat/PreMonoid_OF_Group'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_eq_decidable' 'mat/decidable_eq_Z'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lor_eq_0_l' 'mat/andb_true_true'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_eq_trans'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_lt_mono' 'mat/divides_times'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_add_r' 'mat/divides_minus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sub_succ' 'mat/minus_S_S'
0. 'coq/Coq_Reals_Rminmax_R_max_id' 'mat/gcd_n_n'
0. 'coq/Coq_ZArith_BinInt_Z_pred_max_distr' 'mat/Qinv_Qtimes\''
0. 'coq/Coq_Reals_Rtrigo1_cos_PI2'#@#variant 'mat/B_SSSSO'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_max_distr_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_nonneg'#@#variant 'mat/lt_O_fact'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_assoc' 'mat/assoc_times'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_ldiff_0_l' 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_1_succ' 'mat/lt_O_teta'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sub_add' 'mat/plus_minus_m_m'
0. 'coq/Coq_Classes_RelationClasses_impl_Reflexive' 'mat/transitive_iff'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_0_succ'#@#variant 'mat/prime_nth_prime'
0. 'coq/Coq_ZArith_BinInt_Z_land_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_l' 'mat/le_to_mod'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lor_m1_r'#@#variant 'mat/Qtimes_q_OQ'
0. 'coq/Coq_NArith_BinNat_N_double_inj' 'mat/not_eq_S'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div_small' 'mat/lt_to_div_O'
0. 'coq/Coq_NArith_BinNat_N_lor_0_l' 'mat/rtimes_one_r'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_min_distr' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_gt_cases' 'mat/not_le_to_lt'
0. 'coq/Coq_Reals_RIneq_Ropp_gt_lt_contravar' 'mat/divides_fact_fact'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_le_lin'#@#variant 'mat/divides_smallest_factor_n'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_min_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_succ_diag_r' 'mat/le_n_fact_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_le_mono' 'mat/le_to_le_pred'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tmult_assoc_reduced_stable' 'mat/monotonic_A'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_irrefl' 'mat/Not_lt_n_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_irrefl' 'mat/Not_lt_n_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono' 'mat/lt_times'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj' 'mat/inj_neg'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_le_mono' 'mat/ltS'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_2'#@#variant 'mat/A_SSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_eq_mul_0_r' 'mat/times_O_to_O'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mod_1_r' 'mat/mod_SO'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_id' 'mat/gcd_n_n'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_compare_xO_xO' 'mat/nat_compare_S_S'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_0_l' 'mat/Qtimes_Qone_q'
0. 'coq/Coq_Reals_RIneq_Rgt_not_eq' 'mat/eq_to_not_lt'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_ggcd_correct_divisors' 'mat/eqb_to_Prop'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_2'#@#variant 'mat/B_SSSO'#@#variant
0. 'coq/Coq_Setoids_Setoid_gen_st' 'mat/symmetric_eq'
0. 'coq/Coq_ZArith_BinInt_Z_gcd_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_0_succ'#@#variant 'mat/lt_O_S'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_0' 'mat/eq_OZ_Zopp_OZ'
0. 'coq/Coq_PArith_BinPos_Pos_mul_max_distr_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_id' 'mat/orb_refl'
0. 'coq/Coq_PArith_BinPos_Pos_sub_mask_diag' 'mat/eqb_n_n'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_min_l' 'mat/divides_gcd_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_lt_succ_r' 'mat/ltW'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_ggcd_correct_divisors' 'mat/leb_to_Prop'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mod_small' 'mat/lt_to_eq_mod'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_min_distr' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_glb' 'mat/divides_minus'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_lcm_l' 'mat/le_plus_n_r'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_inj_r'#@#variant 'mat/inj_times_r1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_land_0_r' 'mat/Ztimes_z_OZ'
0. 'coq/Coq_Reals_Rtrigo_def_sinh_0' 'mat/A_SO'#@#variant
0. 'coq/Coq_NArith_BinNat_N_log2_up_nonneg' 'mat/lt_O_fact'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_land_lor_distr_l' 'mat/times_minus_l'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_pos'#@#variant 'mat/lt_SO_n_to_lt_O_pred_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_le_trans' 'mat/lt_to_le_to_lt'
0. 'coq/Coq_PArith_BinPos_Pos_add_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_ZArith_BinInt_Z_log2_le_mono' 'mat/lt_to_lt_S_S'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftr_ldiff' 'mat/times_exp'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_1_l'#@#variant 'mat/Qtimes_Qone_q'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_lt_lin'#@#variant 'mat/lt_sqrt_n'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_sqrt_spec' 'mat/Magma_OF_PreGroup'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pos_sub_diag' 'mat/nat_compare_n_n'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_eq_sym'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_Arith_EqNat_beq_nat_true' 'mat/eqb_true_to_eq'
0. 'coq/Coq_Reals_Rtrigo1_cos_pi2' 'mat/B_SSSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_l' 'mat/le_times_r'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_max_distr_l' 'mat/distr_times_minus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_simpl_r' 'mat/minus_plus_m_m'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_sub_distr_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pred_sub'#@#variant 'mat/plus_n_SO'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_le_lin'#@#variant 'mat/lt_sqrt_n'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lxor_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_le_mono' 'mat/le_pred'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_preorder'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_NArith_BinNat_N_land_lor_distr_r' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Arith_Plus_plus_reg_l' 'mat/inj_plus_r'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_greatest' 'mat/divides_plus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_0_l' 'mat/le_O_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lor_land_distr_r' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_rem_le'#@#variant 'mat/lt_div'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lxor_assoc' 'mat/assoc_times'
0. 'coq/Coq_Reals_Rminmax_R_plus_max_distr_r' 'mat/times_exp'
0. 'coq/Coq_Arith_Gt_gt_Sn_n' 'mat/le_sqrt_n_n'
0. 'coq/Coq_ZArith_BinInt_Z_odd_pred' 'mat/pos_n_eq_S_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_0_l' 'mat/rtimes_one_r'
0. 'coq/Coq_PArith_BinPos_Pos_eq_trans'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_eq_refl'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_rem_1_r'#@#variant 'mat/bc_n_O'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_lt_cancel' 'mat/le_S_S_to_le'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_0_l' 'mat/Ztimes_Zone_l'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_le_compat_l' 'mat/le_plus_r'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_max_r' 'mat/le_plus_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lor_land_distr_l' 'mat/times_minus_l'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lor_m1_l'#@#variant 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_pow' 'mat/Zplus_Zsucc'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_le_mono' 'mat/ltS'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_le_compat' 'mat/lt_plus'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_refl' 'mat/divides_n_n'
0. 'coq/Coq_Arith_PeanoNat_Nat_lor_land_distr_l' 'mat/times_minus_l'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_greatest' 'mat/divides_minus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_land_0_l' 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_min_glb_lt' 'mat/divides_plus'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_lt_cancel' 'mat/le_S_S_to_le'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lcm_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_nonneg'#@#variant 'mat/lt_O_teta'#@#variant
0. 'coq/Coq_Reals_R_sqrt_sqrt_Rsqr'#@#variant 'mat/S_pred'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_glb' 'mat/divides_plus'
0. 'coq/Coq_Init_Peano_eq_S' 'mat/congr_S'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_opp_opp' 'mat/minus_S_S'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_sqrt_spec' 'mat/Magma_OF_Group'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_nonneg'#@#variant 'mat/lt_O_fact'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_max_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_Arith_PeanoNat_Nat_eq_trans'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_le_mono_r' 'mat/le_exp'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_0_l' 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_nonneg_r' 'mat/lt_times_l1'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_div_eucl' 'mat/Z_compare_to_Prop'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_preorder'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_Reals_ArithProp_lt_minus_O_lt'#@#variant 'mat/lt_O_bc'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tred_factor6_stable' 'mat/monotonic_sqrt'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_sqrt_up_succ_sqrt' 'mat/le_teta'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_min_le_compat_l' 'mat/le_times_r'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_nonneg' 'mat/lt_O_teta'
0. 'coq/Coq_Reals_Raxioms_Rplus_assoc' 'mat/assoc_times'
0. 'coq/Coq_Arith_PeanoNat_Nat_pred_0' 'mat/eq_OZ_Zopp_OZ'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_trans' 'mat/trans_divides'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_0_l' 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_sqrt_spec' 'mat/magma'
0. 'coq/Coq_Reals_Rpower_exp_ln'#@#variant 'mat/S_pred'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_le_lin'#@#variant 'mat/lt_sqrt_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_le_compat_l' 'mat/le_times_r'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_land_lor_distr_l' 'mat/times_exp'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_ggcd_greatest' 'mat/leb_to_Prop'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_lt_cancel' 'mat/ltS\''
0. 'coq/Coq_NArith_BinNat_N_add_sub_eq_l' 'mat/plus_to_minus'
0. 'coq/Coq_PArith_BinPos_Pos_mul_add_distr_l' 'mat/distr_times_minus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_eq_sym'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_nonneg_l'#@#variant 'mat/lt_times_r1'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_assoc' 'mat/assoc_plus'
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_nonneg' 'mat/lt_O_fact'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_le_mono' 'mat/le_plus'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_sub_mask_neg' 'mat/le_to_leb_true'
0. 'coq/Coq_ZArith_BinInt_Z_gcd_diag' 'mat/times_SSO_n'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_sub_lt' 'mat/lt_to_div_O'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_one_succ'#@#variant 'mat/B_SSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_pos'#@#variant 'mat/le_SSO_fact'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lcm_0_r' 'mat/times_n_O'
0. 'coq/Coq_Reals_ROrderedType_ROrder_not_gt_le' 'mat/not_lt_to_le'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pos_sub_diag' 'mat/eqb_n_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_involutive' 'mat/Qinv_Qinv'
0. 'coq/__constr_Coq_Logic_ClassicalFacts_boolP_0_2' 'mat/daemon0'
0. 'coq/Coq_ZArith_BinInt_Z_lnot_lxor_l' 'mat/Zplus_Zsucc'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono' 'mat/le_times'
0. 'coq/Coq_QArith_Qminmax_Q_min_glb' 'mat/divides_minus'
0. 'coq/__constr_Coq_Logic_ClassicalFacts_boolP_0_1' 'mat/daemon0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_reflexive'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_land_lor_distr_r' 'mat/distr_times_plus'
0. 'coq/Coq_ZArith_BinInt_Z_succ_pred' 'mat/Zpred_Zsucc'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_min_distr_l' 'mat/distr_times_minus'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_strorder'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_1_r' 'mat/plus_n_SO'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lt_irrefl' 'mat/Not_lt_n_n'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sub_max_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_Arith_PeanoNat_Nat_max_le_compat' 'mat/lt_times'
0. 'coq/Coq_Reals_Rtrigo_def_sin_0' 'mat/eq_OZ_Zopp_OZ'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_le_mono' 'mat/le_to_le_pred'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_sqrt_spec' 'mat/semigroup'
0. 'coq/Coq_Arith_Min_plus_min_distr_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Reals_RIneq_Rplus_lt_compat' 'mat/le_times'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sub_le_mono_r' 'mat/le_times_l'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lor_land_distr_r' 'mat/distr_times_minus'
0. 'coq/Coq_ZArith_BinInt_Z_le_log2_log2_up' 'mat/le_times_SSO_n_exp_SSO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_sub_add' 'mat/plus_minus_m_m'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_diag' 'mat/times_SSO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_lt_mono' 'mat/lt_times'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tred_factor1_stable' 'mat/monotonic_A'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_le_lin'#@#variant 'mat/divides_smallest_factor_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftl_shiftl' 'mat/exp_exp_times'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_min_distr_l' 'mat/distr_times_plus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_PArith_BinPos_Pos_sub_le' 'mat/lt_to_div_O'
0. 'coq/Coq_ZArith_Zlogarithm_log_near_correct1'#@#variant 'mat/sieve_sorted'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_1_l'#@#variant 'mat/gcd_O_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_id' 'mat/gcd_n_n'
0. 'coq/Coq_NArith_BinNat_N_land_0_r' 'mat/Ztimes_z_OZ'
0. 'coq/Coq_Reals_RIneq_Rle_antisym' 'mat/antisym_le'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_land_lor_distr_l' 'mat/times_plus_l'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_le_compat_r' 'mat/lt_plus_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_lt_succ_r' 'mat/ltW'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_pos' 'mat/lt_SO_n_to_lt_O_pred_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_sub_l' 'mat/le_minus_m'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_1_r' 'mat/plus_n_SO'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_mul_mono_r' 'mat/times_plus_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_le_compat_l' 'mat/le_plus_r'
0. 'coq/Coq_Reals_Raxioms_Rlt_trans' 'mat/trans_le'
0. 'coq/Coq_NArith_BinNat_N_ltb_irrefl' 'mat/leb_refl'
0. 'coq/Coq_ZArith_BinInt_Z_lt_strorder'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_le_mono' 'mat/ltS'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_sub_diag' 'mat/minus_n_n'
0. 'coq/Coq_ZArith_BinInt_Z_abs_nonneg'#@#variant 'mat/lt_SO_nth_prime_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pred_succ' 'mat/Zpred_Zsucc'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_min_distr' 'mat/Zopp_Zplus'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftr_ldiff' 'mat/times_exp'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_eqke_refl'#@#variant 'mat/incl_A_A'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lcm_0_r' 'mat/Qtimes_q_OQ'
0. 'coq/Coq_ZArith_BinInt_Z_pred_inj' 'mat/not_eq_S'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_neq' 'mat/eq_to_not_lt'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_T_OMEGA12_stable' 'mat/increasing_nth_prime'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_r' 'mat/le_times_l'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lor_0_l' 'mat/gcd_O_n'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_strorder'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_add_pos_r'#@#variant 'mat/O_lt_const_to_le_times_const'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_quotrem_eq' 'mat/eqfb_to_Prop'
0. 'coq/Coq_Arith_Factorial_lt_O_fact' 'mat/lt_O_S'
0. 'coq/Coq_Reals_R_sqrt_sqrt_pos'#@#variant 'mat/not_nf_elim_not/1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_assoc' 'mat/andbA'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_0_r' 'mat/exp_n_O0'
0. 'coq/Coq_NArith_Ndigits_Nless_not_refl' 'mat/leb_refl'
0. 'coq/Coq_ZArith_Zdiv_Zdiv_le_upper_bound' 'mat/le_times_to_le_div2'
0. 'coq/Coq_Reals_Exp_prop_div2_double'#@#variant 'mat/Zpred_Zsucc'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_le_compat' 'mat/le_plus'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sub_succ_r' 'mat/eq_minus_S_pred'
0. 'coq/Coq_FSets_FSetPositive_PositiveSet_subset_2' 'mat/leb_true_to_le'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lnot_ones' 'mat/orb_not_b_b'
0. 'coq/Coq_Reals_Rbasic_fun_Rle_min_compat_l' 'mat/le_times_r'
0. 'coq/Coq_NArith_BinNat_N_log2_nonneg'#@#variant 'mat/prime_nth_prime'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mod_small' 'mat/le_to_mod'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_eq_sym'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_min_distr_l' 'mat/distr_times_plus'
0. 'coq/Coq_PArith_BinPos_Pos_gcd_divide_r' 'mat/divides_gcd_m'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_glb_lt' 'mat/divides_minus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_shuffle1' 'mat/ab_times_cd'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_0_r'#@#variant 'mat/bc_n_O'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_decidable' 'mat/decidable_lt'
0. 'coq/Coq_Arith_PeanoNat_Nat_min_0_l' 'mat/mod_O_n'
0. 'coq/Coq_ZArith_BinInt_Z_lcm_0_r' 'mat/times_n_O'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_0_r' 'mat/plus_n_SO'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_land_assoc' 'mat/assoc_plus'
0. 'coq/Coq_Init_Peano_le_pred' 'mat/le_S_S'
0. 'coq/Coq_ZArith_Znat_Z2Nat_inj_pos' 'mat/numerator_nat_fact_to_fraction'
0. 'coq/Coq_NArith_BinNat_N_min_l' 'mat/lt_to_eq_mod'
0. 'coq/Coq_Arith_Max_max_0_l' 'mat/gcd_O_n'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_eq_refl'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_add_min_distr_l' 'mat/distr_times_plus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_1'#@#variant 'mat/A_SSSO'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_nonneg'#@#variant 'mat/not_nf_elim_not/1'
0. 'coq/Coq_Arith_Min_plus_min_distr_l' 'mat/distr_times_plus'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_lt_cancel' 'mat/ltS\''
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_strorder'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_Reals_Ranalysis4_sinh_lt' 'mat/le_pred'
0. 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_lt_trans' 'mat/trans_divides'
0. 'coq/Coq_PArith_BinPos_Pos_eq_refl'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lcm_0_l' 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_FSets_FMapPositive_append_neutral_l' 'mat/gcd_O_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_min_r' 'mat/divides_gcd_nm/0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_strorder'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_succ_inj' 'mat/not_eq_S'
0. 'coq/Coq_ZArith_BinInt_Z_eq_mul_0_r' 'mat/eq_Qtimes_OQ_to_eq_OQ'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Topp_opp_stable' 'mat/increasing_nth_prime'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_one_succ'#@#variant 'mat/B_SSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_le_compat' 'mat/le_times'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_assoc' 'mat/andb_assoc'
0. 'coq/Coq_NArith_BinNat_N_lnot_ones' 'mat/orb_not_b_b'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_trans' 'mat/trans_lt'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_assoc' 'mat/andb_assoc'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_0_l' 'mat/rtimes_one_r'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_gcd_greatest' 'mat/divides_plus'
0. 'coq/Coq_NArith_BinNat_N_lcm_mul_mono_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_max_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_ZArith_Zorder_Zsucc_le_compat' 'mat/le_S_S'
0. 'coq/Coq_NArith_BinNat_N_mul_1_l'#@#variant 'mat/Qtimes_Qone_q'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pos_sub_diag' 'mat/leb_refl'
0. 'coq/Coq_MMaps_MMapPositive_PositiveMap_E_eq_equiv'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_nonneg'#@#variant 'mat/lt_O_S'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_eq_decidable' 'mat/decidable_eq_fraction'
0. 'coq/Coq_NArith_BinNat_N_eq_trans'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_land_0_r' 'mat/times_n_O'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_glb' 'mat/divides_plus'
0. 'coq/Coq_ZArith_BinInt_Z_lcm_1_l' 'mat/Zsucc_Zplus_pos_O'
0. 'coq/Coq_Reals_RIneq_Rplus_gt_reg_l' 'mat/le_plus_to_le'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_rem_1_r'#@#variant 'mat/mod_SO'#@#variant
0. 'coq/Coq_NArith_BinNat_N_eq_mul_0_r' 'mat/times_O_to_O'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_1_l' 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_sqrt_sqrt_up' 'mat/le_B_A'
0. 'coq/Coq_QArith_Qminmax_Q_OT_eq_equiv'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_0' 'mat/A_SO'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_lt_mono' 'mat/lt_times'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_1'#@#variant 'mat/eq_OZ_Zopp_OZ'
0. 'coq/Coq_ZArith_BinInt_Z_lt_strorder'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_preorder'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_ZArith_Zpower_Zdiv_rest_correct2' 'mat/frac'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_strorder'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_mul_mono_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_ZArith_Zpower_Zdiv_rest_correct1' 'mat/frac'
0. 'coq/Coq_NArith_Ndiv_def_Pdiv_eucl_correct' 'mat/Z_compare_to_Prop'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_sqrt_spec' 'mat/Magma_OF_PreGroup'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_le_compat' 'mat/lt_plus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_ldiff_0_l' 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_Arith_Min_min_assoc' 'mat/andbA'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_add_distr_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_PArith_BinPos_Pos_max_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_0_r' 'mat/Ztimes_z_OZ'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_le_lin' 'mat/le_prim_n'
0. 'coq/Coq_ZArith_BinInt_Z_even_succ' 'mat/pos_n_eq_S_n'
0. 'coq/Coq_Init_Datatypes_nat_ind' 'mat/nat_ind'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_min_distr_l' 'mat/distr_times_minus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lor_land_distr_r' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_nonneg_l'#@#variant 'mat/lt_exp'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_add_diag_r' 'mat/le_plus_n_r'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_greatest' 'mat/divides_minus'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_min_distr_r' 'mat/times_exp'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lcm_mul_mono_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_succ' 'mat/Zpred_Zsucc'
0. 'coq/Coq_NArith_BinNat_N_divide_trans' 'mat/trans_lt'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_sub_eq_l' 'mat/plus_to_minus'
0. 'coq/Coq_ZArith_Zorder_Zsucc_le_compat' 'mat/le_pred'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_lt_0' 'mat/ltn_to_ltO'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_max_distr' 'mat/distr_times_minus'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_l' 'mat/le_times_r'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_eq_decidable' 'mat/decidable_le'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_leb_refl' 'mat/leb_refl'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_pred_l' 'mat/le_pred_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_transitive'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_ZArith_Zquot_Zrem_opp_l' 'mat/Zplus_Zsucc'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_min_distr' 'mat/distr_times_plus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_min_distr_l' 'mat/distr_times_plus'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_leb_refl' 'mat/ltb_refl'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_mul_mono_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lor_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_lt_mono' 'mat/lt_times'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_succ' 'mat/Zpred_Zsucc'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sub_add_distr' 'mat/exp_exp_times'
0. 'coq/Coq_Arith_Plus_plus_le_compat_r' 'mat/le_times_l'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_lt_cancel' 'mat/ltS\''
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_lt_mono_r'#@#variant 'mat/le_log'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_ltb_irrefl' 'mat/nat_compare_n_n'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_ggcd_correct_divisors' 'mat/ltb_to_Prop'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_add_distr_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_QArith_Qcanon_Qcnot_le_lt' 'mat/not_lt_to_le'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_max_distr_l' 'mat/distr_times_minus'
0. 'coq/Coq_Arith_PeanoNat_Nat_land_0_r' 'mat/Qtimes_q_OQ'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftl_shiftl' 'mat/exp_exp_times'
0. 'coq/Coq_ZArith_BinInt_Z_max_min_distr' 'mat/distr_times_minus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_min_l' 'mat/le_minus_m'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_le_mono' 'mat/le_to_le_pred'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_lt_cancel' 'mat/le_S_S_to_le'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_sub' 'mat/minus_plus_m_m'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_assoc' 'mat/andb_assoc'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_decidable' 'mat/decidable_lt'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pos_sub_diag' 'mat/ltb_refl'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_trans' 'mat/trans_le'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_max_distr_r' 'mat/times_exp'
0. 'coq/Coq_NArith_BinNat_N_pow_inj_r'#@#variant 'mat/inj_times_r1'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qcmult_plus_distr_l' 'mat/times_minus_l'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_max_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lor_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_sqrt_spec' 'mat/magma'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sub_le_mono_l' 'mat/monotonic_le_minus_r'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_0_succ' 'mat/le_SO_fact'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_eq_trans'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_min_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_NArith_BinNat_N_sqrtrem_spec' 'mat/Magma_OF_finite_enumerable_SemiGroup'
0. 'coq/Coq_PArith_BinPos_Pos_lt_add_r' 'mat/le_plus_n_r'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_1' 'mat/A_SO'
0. 'coq/Coq_ZArith_Zbool_Zlt_cases' 'mat/eqZb_to_Prop'
0. 'coq/Coq_NArith_BinNat_N_add_max_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_0' 'mat/A_SO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_even_succ' 'mat/pos_n_eq_S_n'
0. 'coq/Coq_ZArith_BinInt_Z_land_m1_l'#@#variant 'mat/Qtimes_Qone_q'
0. 'coq/Coq_Reals_R_sqrt_sqrt_less_alt'#@#variant 'mat/lt_sqrt_n'#@#variant
0. 'coq/Coq_ZArith_Zpow_facts_Zpower_divide'#@#variant 'mat/O_lt_const_to_le_times_const'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftl_0_l' 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_ZArith_Zeven_Zeven_2p'#@#variant 'mat/lt_O_fact'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_greatest' 'mat/divides_plus'
0. 'coq/Coq_Classes_RelationClasses_impl_Reflexive_obligation_1' 'mat/iff_refl'
0. 'coq/Coq_ZArith_BinInt_Z_divide_pos_le' 'mat/divides_to_le'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_sub_add' 'mat/divides_to_div'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_1_succ' 'mat/le_SO_fact'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_1'#@#variant 'mat/B_SSSO'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_land_lor_distr_r' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_nonneg'#@#variant 'mat/lt_O_teta'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_shuffle1' 'mat/ab_times_cd'
0. 'coq/Coq_ZArith_BinInt_Z_mul_opp_l' 'mat/Zplus_Zsucc'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_lt_cancel' 'mat/le_S_S_to_le'
0. 'coq/Coq_PArith_BinPos_Pos_add_le_mono' 'mat/le_plus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_succ_min_distr' 'mat/Qinv_Qtimes\''
0. 'coq/Coq_PArith_BinPos_Pos_succ_max_distr' 'mat/Qinv_Qtimes\''
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_even_succ' 'mat/pos_n_eq_S_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_0' 'mat/A_SSO'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_ltb_irrefl' 'mat/leb_refl'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_add_r' 'mat/divides_minus'
0. 'coq/Coq_PArith_BinPos_Pos_min_assoc' 'mat/assoc_plus'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_max_distr_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_compare_antisym' 'mat/nat_compare_n_m_m_n'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pred_succ' 'mat/Zpred_Zsucc'
0. 'coq/Coq_ZArith_BinInt_Z_divide_reflexive'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_0_l' 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_Reals_RIneq_Rplus_le_compat' 'mat/lt_times'
0. 'coq/Coq_ZArith_Zorder_Zsucc_gt_reg' 'mat/ltS\''
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_sqrt_spec' 'mat/semigroup'
0. 'coq/Coq_Logic_ClassicalFacts_TrueP' 'mat/daemon1'
0. 'coq/Coq_Reals_RIneq_Rmult_gt_reg_l' 'mat/le_times_to_le'#@#variant
0. 'coq/Coq_Arith_Plus_plus_le_compat' 'mat/le_times'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_nonneg'#@#variant 'mat/lt_O_S'#@#variant
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_IsTO_lt_strorder'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_succ_diag_r' 'mat/lt_n_nth_prime_n'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_trans' 'mat/trans_lt'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_assoc' 'mat/andb_assoc'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_compare_eq' 'mat/same_atom_to_eq'
0. 'coq/Coq_Reals_RIneq_Rmult_lt_reg_r'#@#variant 'mat/lt_times_n_to_lt'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_involutive' 'mat/Qinv_Qinv'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_le_mono' 'mat/lt_to_lt_S_S'
0. 'coq/Coq_ZArith_BinInt_Z_land_m1_l'#@#variant 'mat/rtimes_one_r'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_0_succ'#@#variant 'mat/not_nf_elim_not/1'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_trans' 'mat/trans_lt'
0. 'coq/Coq_QArith_Qcanon_Qcplus_0_l'#@#variant 'mat/gcd_O_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_nonneg' 'mat/lt_O_fact'
0. 'coq/Coq_ZArith_BinInt_Z_gcd_1_r'#@#variant 'mat/Qtimes_q_OQ'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pred_le_mono' 'mat/ltS'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_le_mono_l' 'mat/le_plus_l'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_sub_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_pred_l' 'mat/le_sqrt_n_n'
0. 'coq/Coq_NArith_BinNat_N_shiftr_succ_r' 'mat/eq_minus_S_pred'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tred_factor3_stable' 'mat/injective_S'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_max_distr_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_divide_l' 'mat/divides_gcd_n'
0. 'coq/Coq_Arith_PeanoNat_Nat_lcm_mul_mono_r' 'mat/times_minus_l'
0. 'coq/Coq_ZArith_BinInt_Z_add_1_l'#@#variant 'mat/eq_B_B1'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_ggcd_correct_divisors' 'mat/R'
0. 'coq/Coq_Reals_RIneq_Rle_0_sqr'#@#variant 'mat/lt_O_teta'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_reflexive'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_nonneg'#@#variant 'mat/not_nf_elim_not/0'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_nonneg' 'mat/le_SO_fact'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_quot_lt'#@#variant 'mat/lt_div'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_eq_mul_0_r' 'mat/eq_Qtimes_OQ_to_eq_OQ'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_IsTO_lt_strorder'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_SIN_bound/0'#@#variant 'mat/lt_O_fact'
0. 'coq/Coq_ZArith_BinInt_Z_gcd_divide_l' 'mat/le_minus_m'
0. 'coq/Coq_Reals_Rminmax_R_max_min_distr' 'mat/distr_times_minus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_land_0_l' 'mat/mod_O_n'
0. 'coq/Coq_QArith_QOrderedType_Q_as_OT_eq_equiv'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_sub_1_r' 'mat/plus_n_SO'#@#variant
0. 'coq/Coq_ZArith_Zquot_Zmult_rem_distr_r' 'mat/times_exp'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mod_1_r'#@#variant 'mat/exp_n_O0'#@#variant
0. 'coq/Coq_NArith_BinNat_N_div_eucl_spec' 'mat/ltb_to_Prop'
0. 'coq/Coq_Reals_RIneq_Rplus_ne/1' 'mat/gcd_O_n'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_phi_inv_phi' 'mat/defactorize_factorize'
0. 'coq/Coq_Structures_OrderedTypeEx_PositiveOrderedTypeBits_bits_lt_trans' 'mat/trans_divides'
0. 'coq/Coq_NArith_BinNat_N_land_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_le_mono' 'mat/le_S_S'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_mul_l' 'mat/times_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftl_0_l' 'mat/mod_O_n'
0. 'coq/Coq_NArith_BinNat_N_min_0_l' 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_leb_refl' 'mat/eqb_n_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_neq_succ_diag_r' 'mat/not_eq_n_Sn'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_even_succ' 'mat/pos_n_eq_S_n'
0. 'coq/Coq_ZArith_Zorder_Zgt_trans' 'mat/trans_le'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pos_sub_diag' 'mat/eqb_n_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_div_factor'#@#variant 'mat/eq_gcd_div_div_div_gcd'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_shuffle1' 'mat/ab_times_cd'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_sqrt_up_succ_sqrt' 'mat/le_teta'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_div_factor'#@#variant 'mat/eq_div_plus'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_min_l' 'mat/divides_gcd_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_land_0_r' 'mat/times_n_O'
0. 'coq/Coq_Arith_Le_le_Sn_le' 'mat/lt_S_to_lt'
0. 'coq/Coq_NArith_BinNat_N_lt_0_succ'#@#variant 'mat/lt_O_fact'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_ldiff_diag' 'mat/bc_n_n'#@#variant
0. 'coq/Coq_ZArith_Znat_Zabs2Nat_inj_neg' 'mat/numerator_nat_fact_to_fraction'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_add_distr_l' 'mat/distr_times_minus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_neq_succ_diag_l' 'mat/not_eq_n_Sn'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_divide_mono_r' 'mat/le_plus_l'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_assoc' 'mat/andb_assoc'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sub_diag' 'mat/minus_n_n'
0. 'coq/Coq_Reals_RIneq_Rmult_gt_reg_l'#@#variant 'mat/lt_times_n_to_lt_r'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_1_r'#@#variant 'mat/times_n_O'
0. 'coq/Coq_NArith_BinNat_N_gcd_1_l'#@#variant 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_min_le_compat' 'mat/lt_plus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mod_1_r'#@#variant 'mat/exp_n_O0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_1_l'#@#variant 'mat/rtimes_one_r'
0. 'coq/Coq_Reals_R_sqrt_sqrt_inj'#@#variant 'mat/eq_pred_to_eq'#@#variant
0. 'coq/Coq_NArith_BinNat_N_log2_nonneg' 'mat/lt_O_fact'
0. 'coq/Coq_Reals_RIneq_Rminus_gt_0_lt'#@#variant 'mat/lt_O_minus_to_lt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_0' 'mat/A_SSO'#@#variant
0. 'coq/Coq_ZArith_BinInt_Pos2Z_is_pos'#@#variant 'mat/sieve_sorted'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_neq' 'mat/eq_to_not_lt'
0. 'coq/Coq_NArith_BinNat_N_two_succ'#@#variant 'mat/B_SSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_succ_diag_r' 'mat/lt_n_nth_prime_n'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_shuffle1' 'mat/ab_times_cd'
0. 'coq/Coq_QArith_Qround_Qceiling_Z' 'mat/factorize_defactorize'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_eq_sym'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_Reals_Ranalysis1_continuity_pt_const' 'mat/injective_to_injn'#@#variant
0. 'coq/Coq_NArith_Ndiv_def_Pdiv_eucl_correct' 'mat/ltb_to_Prop'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_nonneg'#@#variant 'mat/prime_nth_prime'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_ltb_irrefl' 'mat/eqb_n_n'
0. 'coq/Coq_QArith_Qcanon_Qcplus_assoc' 'mat/assoc_times'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lcm_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_nonneg'#@#variant 'mat/lt_SO_nth_prime_n'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_le_succ_diag_r' 'mat/le_n_Sn'
0. 'coq/Coq_NArith_BinNat_N_sub_0_l' 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_2'#@#variant 'mat/B_SSSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_div2_div'#@#variant 'mat/plus_n_SO'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_assoc' 'mat/andb_assoc'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_assoc' 'mat/assoc_times'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_le_compat' 'mat/lt_times'
0. 'coq/Coq_NArith_BinNat_N_lxor_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_Bool_Bool_orb_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_Arith_Max_plus_max_distr_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_nonneg' 'mat/lt_O_teta'
0. 'coq/Coq_ZArith_BinInt_Z_max_id' 'mat/orb_refl'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_ggcd_correct_divisors' 'mat/R'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lor_0_l' 'mat/Ztimes_Zone_l'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_sub_lt' 'mat/eq_minus_n_m_O'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_add_distr_r' 'mat/times_exp'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_trans' 'mat/trans_divides'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_succ_diag_r' 'mat/le_n_Sn'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_reflexive'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_add_distr_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lor_lnot_diag'#@#variant 'mat/Zplus_Zopp'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lor_diag' 'mat/orb_refl'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_log2_up_succ_log2' 'mat/le_teta'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pos_pred_succ' 'mat/factorize_defactorize'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_transitive'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_le_mono' 'mat/le_pred'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lor_0_l' 'mat/rtimes_one_r'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_glb' 'mat/divides_plus'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lcm_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_ZArith_BinInt_Z_lxor_assoc' 'mat/assoc_times'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_add_le_sub_r' 'mat/le_minus_to_plus'
0. 'coq/Coq_NArith_BinNat_N_lor_assoc' 'mat/andb_assoc'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_nonneg'#@#variant 'mat/lt_O_teta'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_transitive'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_ZArith_BinInt_Z_lor_assoc' 'mat/assoc_plus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_min_distr' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_le_compat_l' 'mat/lt_plus_r'
0. 'coq/Coq_Arith_PeanoNat_Nat_neq_0_succ' 'mat/not_eq_O_S'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_min_distr' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono' 'mat/divides_times'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_0_l' 'mat/gcd_O_n'
0. 'coq/Coq_Reals_Ratan_pos_opp_lt'#@#variant 'mat/lt_sqrt_n'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zplus_gt_compat_r' 'mat/lt_plus_l'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_le_compat_l' 'mat/le_times_r'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_le_compat' 'mat/lt_times'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_strorder'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_nonneg'#@#variant 'mat/not_nf_elim_not/1'
0. 'coq/Coq_Reals_Rtrigo1_COS_bound/0'#@#variant 'mat/lt_O_teta'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_sub_le' 'mat/eq_minus_n_m_O'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_lt_lin'#@#variant 'mat/divides_smallest_factor_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pos_sub_discr' 'mat/nat_compare_to_Prop'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_nonneg' 'mat/lt_O_teta'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_divide_l' 'mat/divides_gcd_n'
0. 'coq/Coq_Reals_ROrderedType_ROrder_TO_eq_equiv'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_nonneg'#@#variant 'mat/not_nf_elim_not/0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_succ_l' 'mat/lt_S_to_lt'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tmult_comm_stable' 'mat/monotonic_sqrt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_lt_lin'#@#variant 'mat/lt_sqrt_n'#@#variant
0. 'coq/Coq_FSets_FMapPositive_append_neutral_l' 'mat/Ztimes_Zone_l'
0. 'coq/Coq_Reals_ROrderedType_R_as_OT_eq_equiv'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_MMaps_MMapPositive_PositiveMap_E_eq_equiv'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_sqrt_spec' 'mat/Magma_OF_finite_enumerable_SemiGroup'
0. 'coq/Coq_fourier_Fourier_util_Rfourier_le'#@#variant 'mat/le_log'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_divide_mono_r' 'mat/le_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_b2z_inj' 'mat/inj_pos'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_le_mono_l' 'mat/le_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_max_distr' 'mat/distr_times_minus'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_nonneg'#@#variant 'mat/lt_O_fact'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_rem_opp_l_prime' 'mat/Zplus_Zpred'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftr_succ_r' 'mat/eq_minus_S_pred'
0. 'coq/Coq_NArith_BinNat_N_eqb_refl' 'mat/leb_refl'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lor_land_distr_r' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_max_distr' 'mat/demorgan2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_sqrt_sqrt_up' 'mat/le_B_A'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_max_distr_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_lt_lin'#@#variant 'mat/lt_sqrt_n'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_assoc' 'mat/andb_assoc'
0. 'coq/Coq_ZArith_BinInt_Z_le_antisymm' 'mat/antisym_le'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_2_r'#@#variant 'mat/exp_SSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_nonneg_r' 'mat/lt_times_l1'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sub_le_mono_r' 'mat/lt_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_eq_trans'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_sqrt_spec' 'mat/num'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_lt_mono' 'mat/lt_plus'
0. 'coq/Coq_NArith_BinNat_N_gcd_greatest' 'mat/divides_plus'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_T_OMEGA10_stable' 'mat/monotonic_A'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_succ_diag_r' 'mat/le_n_fact_n'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_eq_trans'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lor_land_distr_l' 'mat/times_minus_l'
0. 'coq/Coq_NArith_BinNat_N_mul_max_distr_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sub_max_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_double_spec'#@#variant 'mat/eq_B_B1'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_lt_mono_r'#@#variant 'mat/le_log'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_0_l' 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_nonneg'#@#variant 'mat/lt_SO_nth_prime_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_Reals_Rtrigo1_COS_bound/0'#@#variant 'mat/lt_O_S'
0. 'coq/Coq_ZArith_BinInt_Z_lnot_m1'#@#variant 'mat/B_SSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_0_r' 'mat/divides_n_O'
0. 'coq/Coq_PArith_BinPos_Pos_min_glb_lt' 'mat/divides_plus'
0. 'coq/Coq_NArith_BinNat_N_le_log2_log2_up' 'mat/le_B_A'
0. 'coq/Coq_QArith_Qreduction_Qminus_prime_comp' 'mat/divides_times'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_succ_diag_r' 'mat/le_n_Sn'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_nonneg' 'mat/lt_O_S'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lcm_0_l' 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_NArith_Ndist_Npdist_eq_2' 'mat/eqb_true_to_eq'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_pred_l' 'mat/le_prim_n'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lor_m1_l'#@#variant 'mat/mod_O_n'
0. 'coq/Coq_PArith_BinPos_Pos_lt_strorder'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftr_lor' 'mat/times_plus_l'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_nonneg'#@#variant 'mat/lt_O_nth_prime_n'#@#variant
0. 'coq/Coq_Bool_Bool_xorb_assoc_reverse' 'mat/assoc_times'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_lt_cancel' 'mat/le_S_S_to_le'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_compare_refl' 'mat/ltb_refl'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_nonneg' 'mat/le_SO_fact'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_1'#@#variant 'mat/B_SSSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_pos'#@#variant 'mat/le_SSO_fact'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_le_mono' 'mat/le_pred'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pos_sub_discr' 'mat/eqb_to_Prop'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sub_max_distr_l' 'mat/exp_plus_times'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_divide_r' 'mat/divides_gcd_m'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_double_spec'#@#variant 'mat/eq_A_A\''
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_Reals_Rtrigo_def_sin_0' 'mat/A_SO'#@#variant
0. 'coq/Coq_Reals_Rpower_arcsinh_0' 'mat/A_SSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_le_mono' 'mat/le_to_le_pred'
0. 'coq/Coq_Arith_PeanoNat_Nat_compare_refl' 'mat/leb_refl'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_square_nonneg'#@#variant 'mat/id_axiom'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_eq_refl'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_QArith_Qminmax_Q_min_glb' 'mat/divides_plus'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lcm_1_l'#@#variant 'mat/Qtimes_Qone_q'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_preorder'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_nonneg'#@#variant 'mat/lt_O_fact'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lcm_1_r' 'mat/exp_n_SO'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_add_pos_l' 'mat/le_times_n'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_assoc' 'mat/assoc_plus'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_le_succ_r' 'mat/ltW'
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_pos'#@#variant 'mat/not_nf_elim_not/0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_pos'#@#variant 'mat/prime_smallest_factor_n'#@#variant
0. 'coq/Coq_QArith_QOrderedType_QOrder_not_gt_le' 'mat/not_le_to_lt'
0. 'coq/Coq_Arith_PeanoNat_Nat_lor_diag' 'mat/gcd_n_n'
0. 'coq/Coq_NArith_Ndist_ni_le_min_1' 'mat/divides_gcd_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_mul_l' 'mat/times_minus_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_le_mono' 'mat/le_S_S'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_min_distr' 'mat/Zopp_Zplus'
0. 'coq/Coq_ZArith_Znumtheory_Zdivide_opp_l_rev' 'mat/lt_S_to_lt'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_ggcd_correct_divisors' 'mat/eqfb_to_Prop'
0. 'coq/Coq_NArith_BinNat_N_lcm_1_l'#@#variant 'mat/rtimes_one_r'
0. 'coq/Coq_QArith_QArith_base_Qeq_trans' 'mat/trans_divides'
0. 'coq/Coq_ZArith_Zeven_Zeven_2p'#@#variant 'mat/lt_O_S'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_divide_transitive'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_trans' 'mat/trans_lt'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_eq_trans'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_min_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_PArith_BinPos_Pos_succ_min_distr' 'mat/Zopp_Zplus'
0. 'coq/Coq_NArith_BinNat_N_mul_0_l' 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_land_lor_distr_r' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_sqrt_spec' 'mat/segment_finType'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_1_l' 'mat/Qtimes_Qone_q'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_lt_cancel' 'mat/lt_S_S_to_lt'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tplus_permute_stable' 'mat/monotonic_sqrt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_max_r' 'mat/le_plus_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lor_land_distr_l' 'mat/times_minus_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_1'#@#variant 'mat/A_SO'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zle_lt_or_eq' 'mat/le_to_or_lt_eq'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_glb' 'mat/divides_minus'
0. 'coq/Coq_PArith_BinPos_Pos_min_glb_lt' 'mat/divides_minus'
0. 'coq/Coq_PArith_BinPos_Pos_lt_irrefl' 'mat/Not_lt_n_n'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_lt_lin'#@#variant 'mat/lt_sqrt_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_greatest' 'mat/divides_minus'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_divide_mono_l' 'mat/le_plus_r'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_square_nonneg'#@#variant 'mat/id_axiom'
0. 'coq/Coq_Arith_Gt_gt_S_n' 'mat/le_S_S_to_le'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_gcd_greatest' 'mat/divides_minus'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_max_distr_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_compare_succ_succ' 'mat/nat_compare_S_S'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrtrem_spec' 'mat/magma'
0. 'coq/Coq_ZArith_BinInt_Z_mul_divide_mono_l' 'mat/le_times_r'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mod_1_l'#@#variant 'mat/exp_n_O'#@#variant
0. 'coq/Coq_Reals_Rfunctions_R_dist_eq' 'mat/bc_n_n'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rmin_l' 'mat/le_minus_m'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_assoc' 'mat/andb_assoc'
0. 'coq/Coq_NArith_BinNat_N_lt_strorder'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_succ_diag_r' 'mat/le_n_Sn'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pos_sub_discr' 'mat/ltb_to_Prop'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_min_distr' 'mat/Zopp_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_divide_mono_r' 'mat/le_plus_l'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_nonneg'#@#variant 'mat/lt_O_S'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_add_distr' 'mat/Qinv_Qtimes\''
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_0_succ' 'mat/lt_O_fact'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_1'#@#variant 'mat/eq_OZ_Zopp_OZ'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_land_diag' 'mat/gcd_n_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_mul_l' 'mat/times_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_le_incl' 'mat/lt_to_le'
0. 'coq/Coq_PArith_BinPos_Pos_compare_refl' 'mat/leb_refl'
0. 'coq/Coq_NArith_Ndist_ni_min_inf_l' 'mat/rtimes_one_r'
0. 'coq/Coq_ZArith_BinInt_Z_lcm_assoc' 'mat/assoc_plus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_le_compat_l' 'mat/le_times_r'
0. 'coq/Coq_Reals_RIneq_Rplus_eq_reg_r' 'mat/inj_plus_l'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_add_pos_l' 'mat/le_times_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_eq_trans'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_le_mono_r' 'mat/le_exp'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_reflexive'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_assoc' 'mat/assoc_plus'
0. 'coq/Coq_NArith_BinNat_N_add_pos_r'#@#variant 'mat/lt_O_gcd'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_mult_lt_compat_l'#@#variant 'mat/le_log'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_1'#@#variant 'mat/A_SSO'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_add_pos_l' 'mat/le_times_n'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lcm_1_l'#@#variant 'mat/rtimes_one_r'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tmult_comm_stable' 'mat/monotonic_A'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_sub_eq_l' 'mat/plus_to_minus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_sub_lt_add_r' 'mat/le_minus_to_plus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_mul' 'mat/Zopp_Zplus'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_nonneg'#@#variant 'mat/lt_O_fact'#@#variant
0. 'coq/Coq_NArith_Ndec_Nleb_refl' 'mat/nat_compare_n_n'
0. 'coq/Coq_ZArith_BinInt_Z_compare_refl' 'mat/ltb_refl'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_factor_l' 'mat/le_plus_n_r'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_succ_r' 'mat/times_n_Sm'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftr_succ_r' 'mat/eq_minus_S_pred'
0. 'coq/Coq_NArith_BinNat_N_div2_succ_double' 'mat/Zsucc_Zpred'
0. 'coq/Coq_NArith_BinNat_N_pos_pred_succ' 'mat/numeratorQ_nat_fact_all_to_Q'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_nonneg' 'mat/lt_O_teta'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_succ_pred_pos'#@#variant 'mat/S_pred'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mod_1_r'#@#variant 'mat/bc_n_O'#@#variant
0. 'coq/Coq_Classes_RelationClasses_iff_Symmetric' 'mat/transitive_iff'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pos_sub_diag' 'mat/eqb_n_n'
0. 'coq/Coq_NArith_BinNat_N_lt_ge_cases' 'mat/not_le_to_lt'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_le_mono' 'mat/le_pred'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_spec_of_Qc' 'mat/numeratorQ_nat_fact_all_to_Q'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_eq_sym'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_eq_equiv'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_ZArith_Znumtheory_Zdivide_opp_r' 'mat/ltW'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_decidable' 'mat/decidable_lt'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_pos_le' 'mat/divides_to_le'
0. 'coq/Coq_PArith_BinPos_Pos_add_succ_r' 'mat/plus_n_Sm'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_T_OMEGA12_stable' 'mat/injective_nth_prime'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_max_assoc' 'mat/assoc_times'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_gt_cases' 'mat/not_lt_to_le'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_2'#@#variant 'mat/eq_OZ_Zopp_OZ'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_neq_succ_0' 'mat/not_eq_O_S'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_nonneg'#@#variant 'mat/prime_nth_prime'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_1_r'#@#variant 'mat/times_n_O'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_trans' 'mat/trans_lt'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_max_distr_r' 'mat/times_exp'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_glb_lt' 'mat/divides_minus'
0. 'coq/Coq_Classes_RelationClasses_RewriteRelation_instance_1' 'mat/symmetric_iff'
0. 'coq/Coq_ZArith_BinInt_Z_max_le_compat' 'mat/le_plus'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_id' 'mat/gcd_n_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_eq_refl'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_succ_min_distr' 'mat/Qinv_Qtimes\''
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_pred_l' 'mat/le_smallest_factor_n'
0. 'coq/Coq_Reals_Rtrigo1_sin_PI' 'mat/A_SSSO'#@#variant
0. 'coq/Coq_Classes_RelationClasses_RewriteRelation_instance_0' 'mat/symmetric_iff'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_nonneg' 'mat/lt_O_teta'
0. 'coq/Coq_Arith_PeanoNat_Nat_max_min_distr' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_diag' 'mat/times_SSO_n'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sub_max_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_Arith_Min_min_0_r' 'mat/Ztimes_z_OZ'
0. 'coq/Coq_Reals_Exp_prop_div2_not_R0' 'mat/lt_SO_n_to_lt_O_pred_n'
0. 'coq/Coq_Reals_Rpower_arcsinh_lt' 'mat/le_S_S'
0. 'coq/Coq_Structures_OrderedTypeEx_PositiveOrderedTypeBits_bits_lt_antirefl' 'mat/Not_lt_n_n'
0. 'coq/Coq_ZArith_BinInt_Z_abs_nonneg'#@#variant 'mat/lt_O_S'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ltb_irrefl' 'mat/eqb_n_n'
0. 'coq/Coq_NArith_BinNat_N_log2_up_nonneg' 'mat/lt_O_teta'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_id' 'mat/orb_refl'
0. 'coq/Coq_NArith_BinNat_N_land_diag' 'mat/orb_refl'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_nonneg_r'#@#variant 'mat/lt_exp1'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_mul_eq_1_r' 'mat/andb_true_true_r'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_le_mono' 'mat/le_pred'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_sqrt_sqrt_up' 'mat/le_B_A'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_pred_l' 'mat/le_sqrt_n_n'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tred_factor0_stable' 'mat/monotonic_sqrt'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_lt_mono' 'mat/le_times'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_divide_r' 'mat/divides_gcd_m'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sub_1_r'#@#variant 'mat/plus_n_SO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_Reals_RIneq_Ropp_mult_distr_r' 'mat/plus_n_Sm'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lcm_0_l' 'mat/mod_O_n'
0. 'coq/Coq_Reals_ROrderedType_ROrder_le_lt_trans' 'mat/le_to_lt_to_lt'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_id' 'mat/gcd_n_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_1_l'#@#variant 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftl_lxor' 'mat/times_minus_l'
0. 'coq/Coq_NArith_BinNat_N_shiftr_lxor' 'mat/times_exp'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_add_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_eq_mul_0_r' 'mat/eq_Qtimes_OQ_to_eq_OQ'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_le_compat' 'mat/le_times'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_sub_distr_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Bool_Bool_negb_andb' 'mat/demorgan2'
0. 'coq/Coq_ZArith_BinInt_Zopp_mult_distr_r' 'mat/plus_n_Sm'
0. 'coq/Coq_Arith_PeanoNat_Nat_eq_refl'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_id' 'mat/orb_refl'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_leb_refl' 'mat/ltb_refl'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_sub_diag' 'mat/minus_n_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_max_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_QArith_Qminmax_Q_max_le_compat_l' 'mat/lt_plus_r'
0. 'coq/Coq_PArith_BinPos_Pos_eq_trans'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_ZArith_Zdiv_Zdiv_0_r' 'mat/Ztimes_z_OZ'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lcm_0_r' 'mat/Qtimes_q_OQ'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_lor' 'mat/demorgan2'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_0_l' 'mat/le_O_n'
0. 'coq/Coq_ZArith_BinInt_Z_le_log2_up_succ_log2' 'mat/le_teta'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftr_ldiff' 'mat/times_minus_l'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_eq_trans'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_preorder'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lcm_0_l' 'mat/mod_O_n'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_m1'#@#variant 'mat/A_SSSO'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_pow_0_r'#@#variant 'mat/mod_SO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_1_l' 'mat/exp_SO_n'
0. 'coq/Coq_NArith_BinNat_N_double_add' 'mat/Qinv_Qtimes\''
0. 'coq/Coq_Reals_Rpower_arcsinh_le' 'mat/le_S_S'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_nonneg'#@#variant 'mat/lt_O_teta'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_1_l'#@#variant 'mat/Ztimes_Zone_l'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_assoc' 'mat/assoc_times'
0. 'coq/Coq_PArith_BinPos_Pos_eq_sym'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_NArith_BinNat_N_log2_up_lt_cancel' 'mat/ltS\''
0. 'coq/Coq_ZArith_BinInt_Z_min_glb' 'mat/divides_plus'
0. 'coq/Coq_QArith_Qcanon_Qcplus_le_compat' 'mat/divides_times'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_assoc' 'mat/andbA'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_land_assoc' 'mat/andb_assoc'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_eq_1_r' 'mat/andb_true_true_r'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_T_OMEGA13_stable' 'mat/monotonic_sqrt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_le_compat_l' 'mat/le_plus_r'
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_1_r'#@#variant 'mat/Qtimes_q_OQ'
0. 'coq/Coq_Arith_PeanoNat_Nat_sub_le_mono_l' 'mat/monotonic_le_minus_r'
0. 'coq/Coq_Arith_Gt_gt_n_S' 'mat/le_pred'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_nonzero' 'mat/andb_true_true'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_trans' 'mat/trans_lt'
0. 'coq/Coq_ZArith_Zorder_Zplus_gt_reg_l' 'mat/lt_plus_to_lt_r'
0. 'coq/Coq_NArith_BinNat_N_gcd_diag' 'mat/gcd_n_n'
0. 'coq/Coq_ZArith_BinInt_Z_divide_reflexive'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_0' 'mat/A_SSO'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_eq_refl'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_omega_OmegaLemmas_Zred_factor4' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lor_0_l' 'mat/Ztimes_Zone_l'
0. 'coq/Coq_PArith_BinPos_Pos_mul_assoc' 'mat/assoc_times'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_eqb_refl' 'mat/leb_refl'
0. 'coq/Coq_PArith_BinPos_Pos_min_assoc' 'mat/andb_assoc'
0. 'coq/Coq_ZArith_BinInt_Z_lnot_lor' 'mat/demorgan1'
0. 'coq/Coq_Arith_PeanoNat_Nat_eq_trans'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_max_assoc' 'mat/assoc_plus'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_1_l' 'mat/Ztimes_Zone_l'
0. 'coq/Coq_PArith_BinPos_Pos_pred_N_succ' 'mat/pos_n_eq_S_n'
0. 'coq/Coq_Arith_Lt_le_lt_or_eq' 'mat/le_to_or_lt_eq'
0. 'coq/Coq_Arith_PeanoNat_Nat_eq_decidable' 'mat/bool_to_decidable_eq'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_eq_refl'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_size_le'#@#variant 'mat/le_exp_SSO_fact'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_div2_double'#@#variant 'mat/Zpred_Zsucc'
0. 'coq/Coq_NArith_BinNat_N_eq_decidable' 'mat/decidable_eq_fraction'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_transitive'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_Arith_Mult_mult_is_one'#@#variant 'mat/gcd_O_to_eq_O'
0. 'coq/Coq_Classes_RelationClasses_impl_Transitive_obligation_1' 'mat/iff_trans'
0. 'coq/Coq_PArith_BinPos_Pos_mul_min_distr_l' 'mat/distr_times_plus'
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_nonneg' 'mat/lt_O_teta'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_lt_lin' 'mat/lt_sqrt_n'
0. 'coq/Coq_Reals_Rminmax_R_plus_min_distr_l' 'mat/distr_times_minus'
0. 'coq/Coq_QArith_QOrderedType_QOrder_lt_eq' 'mat/lt_to_le_to_lt'
0. 'coq/Coq_ZArith_Zbool_Zle_imp_le_bool' 'mat/le_to_leb_true'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_le_compat_l' 'mat/lt_plus_r'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_le_mono' 'mat/ltS'
0. 'coq/Coq_ZArith_BinInt_Z_gcd_div_factor' 'mat/eq_div_plus'
0. 'coq/Coq_NArith_BinNat_N_le_log2_log2_up' 'mat/le_times_SSO_n_exp_SSO_n'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_eq_refl'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_max_le_compat' 'mat/le_plus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_glb_lt' 'mat/divides_minus'
0. 'coq/Coq_PArith_BinPos_Pos_eq_trans'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_fourier_Fourier_util_Rle_zero_pos_plus1'#@#variant 'mat/lt_SO_smallest_factor'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_min_distr_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Reals_RIneq_Rlt_not_le' 'mat/lt_to_not_le'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_strorder'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qcplus_le_compat' 'mat/le_plus'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_lt_mono' 'mat/divides_times'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_nonneg_l'#@#variant 'mat/le_exp'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_lor' 'mat/demorgan1'
0. 'coq/Coq_QArith_Qabs_Qle_Qabs' 'mat/le_n_Sn'
0. 'coq/__constr_Coq_Classes_Morphisms_PartialApplication_0_1' 'mat/daemon'
0. 'coq/Coq_ZArith_BinInt_Z_gcd_0_r' 'mat/plus_n_SO'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_min_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_Reals_RIneq_Ropp_mult_distr_l' 'mat/Zplus_Zpred'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrtrem_spec' 'mat/denom'
0. 'coq/Coq_NArith_BinNat_N_log2_up_pos'#@#variant 'mat/le_SSO_fact'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_trans' 'mat/trans_le'
0. 'coq/Coq_Init_Peano_le_n_S' 'mat/ltS'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_assoc' 'mat/assoc_times'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_le_incl' 'mat/lt_to_le'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_le_mono' 'mat/le_pred'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_decidable' 'mat/decidable_lt'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_assoc' 'mat/andb_assoc'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_le_compat_l' 'mat/lt_plus_r'
0. 'coq/Coq_PArith_BinPos_Pos_mul_add_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_2'#@#variant 'mat/B_SSSSO'#@#variant
0. 'coq/Coq_Bool_Bool_negb_involutive' 'mat/opposite_direction_idempotent'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_eq_sym'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_Arith_Min_le_min_r' 'mat/divides_gcd_m'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div_le_mono'#@#variant 'mat/lt_exp1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_add_pos_r'#@#variant 'mat/O_lt_const_to_le_times_const'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_size_nat_monotone' 'mat/lt_to_Zlt_pos_pos'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_0_r'#@#variant 'mat/mod_SO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_gt_cases' 'mat/not_lt_to_le'
0. 'coq/Coq_NArith_Ndec_Peqb_complete' 'mat/eqb_true_to_eq'
0. 'coq/Coq_Reals_RIneq_Ropp_lt_gt_contravar' 'mat/divides_fact_fact'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_land_0_r' 'mat/Ztimes_z_OZ'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_min_l' 'mat/divides_gcd_nm/1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_succ_l' 'mat/Zplus_Zpred'
0. 'coq/Coq_Arith_PeanoNat_Nat_min_0_l' 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_id' 'mat/gcd_n_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_nonneg_l' 'mat/lt_times_r1'
0. 'coq/Coq_NArith_BinNat_N_add_shuffle1' 'mat/ab_times_cd'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_nonneg' 'mat/le_SO_fact'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_id' 'mat/factorize_defactorize'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_size_nat_monotone' 'mat/lt_to_Zlt_pos_pos'
0. 'coq/Coq_NArith_BinNat_N_gcd_1_l'#@#variant 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_nonneg' 'mat/lt_O_teta'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_reflexive'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_opp_l' 'mat/Zplus_Zpred'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_lt_cancel' 'mat/ltS\''
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_0_l' 'mat/exp_n_O'
0. 'coq/Coq_Arith_Plus_plus_le_reg_l' 'mat/le_plus_to_le'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_1'#@#variant 'mat/B_SSSO'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_preorder'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_QArith_QOrderedType_QOrder_TO_eq_equiv'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_Reals_RIneq_Rmult_gt_reg_l' 'mat/lt_times_to_lt'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_nonneg'#@#variant 'mat/lt_O_S'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_1'#@#variant 'mat/eq_OZ_Zopp_OZ'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_ldiff_ldiff_l' 'mat/eq_minus_minus_minus_plus'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_le_compat_l' 'mat/le_times_r'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_add_distr_r' 'mat/times_exp'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_le_compat' 'mat/le_times'
0. 'coq/Coq_NArith_BinNat_N_mul_add_distr_r' 'mat/times_exp'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_lor' 'mat/demorgan2'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_sub_distr_l' 'mat/distr_times_plus'
0. 'coq/Coq_Reals_RIneq_Rmult_0_r' 'mat/Ztimes_z_OZ'
0. 'coq/Coq_ZArith_BinInt_Z_land_lor_distr_l' 'mat/times_plus_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lnot_ones' 'mat/minus_Sn_n'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_add_pos_r'#@#variant 'mat/O_lt_const_to_le_times_const'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_id' 'mat/gcd_n_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_add_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_lt_cancel' 'mat/lt_S_S_to_lt'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lcm_mul_mono_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_neq' 'mat/eq_to_not_lt'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_pred_r' 'mat/plus_n_Sm'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lxor_assoc' 'mat/assoc_plus'
0. 'coq/Coq_NArith_BinNat_N_gcd_divide_l' 'mat/divides_gcd_n'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_spec_is_even' 'mat/fsort'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_preorder'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_nonneg' 'mat/lt_O_teta'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftr_ldiff' 'mat/times_minus_l'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_0' 'mat/eq_OZ_Zopp_OZ'
0. 'coq/Coq_Structures_DecidableTypeEx_Positive_as_DT_lt_trans' 'mat/trans_le'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ldiff_ldiff_l' 'mat/exp_exp_times'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_leb_refl' 'mat/leb_refl'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrtrem_spec' 'mat/magma'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pos_sub_discr' 'mat/leb_to_Prop'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_mul_r' 'mat/exp_exp_times'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_land_m1_l'#@#variant 'mat/Qtimes_Qone_q'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_eq_mul_0_r' 'mat/eq_Qtimes_OQ_to_eq_OQ'
0. 'coq/Coq_ZArith_BinInt_Z_eqb_refl' 'mat/nat_compare_n_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lor_m1_r'#@#variant 'mat/Ztimes_z_OZ'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_lt_mono_r'#@#variant 'mat/lt_times_r1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_min_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_lt_cancel' 'mat/lt_S_S_to_lt'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_lt_mono' 'mat/le_times'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_quot_le_mono'#@#variant 'mat/lt_times_l1'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lxor_nilpotent' 'mat/bc_n_n'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tmult_assoc_r_stable' 'mat/injective_nth_prime'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_max_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_eq_sym'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_Reals_RIneq_Rnot_ge_gt' 'mat/not_le_to_lt'
0. 'coq/Coq_Reals_Rtrigo_calc_toRad_inj' 'mat/inj_S'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_min_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_transitive'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_nle_succ_diag_l' 'mat/not_le_Sn_n'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_involutive' 'mat/Zopp_Zopp'
0. 'coq/Coq_PArith_BinPos_Pos_size_nat_monotone' 'mat/lt_to_Zlt_pos_pos'
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_1_l'#@#variant 'mat/le_O_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_divide_mono_r' 'mat/le_times_l'
0. 'coq/Coq_Arith_Le_le_n_S' 'mat/le_S_S'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_preorder'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_assoc' 'mat/andbA'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_inj_r' 'mat/inj_exp_r'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_wf_0' 'mat/antisymmetric_divides'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sub_add_distr' 'mat/eq_minus_minus_minus_plus'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_pred_l' 'mat/le_prim_n'
0. 'coq/Coq_Reals_RIneq_Rmult_lt_reg_r' 'mat/lt_times_n_to_lt'
0. 'coq/Coq_ZArith_BinInt_Z_eq_decidable' 'mat/decidable_eq_Z'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_add_distr_l' 'mat/distr_times_minus'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tred_factor2_stable' 'mat/monotonic_A'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qcle_trans' 'mat/trans_le'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftl_ldiff' 'mat/times_minus_l'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_2'#@#variant 'mat/B_SSSO'#@#variant
0. 'coq/Coq_MMaps_MMapPositive_PositiveMap_E_eq_equiv'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_le_mono' 'mat/ltS'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_land_0_r' 'mat/times_n_O'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_div_factor' 'mat/eq_div_plus'
0. 'coq/Coq_ZArith_BinInt_Z_opp_involutive' 'mat/notb_notb'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_simpl_r' 'mat/minus_plus_m_m'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_1_r'#@#variant 'mat/Qtimes_q_OQ'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_0_r' 'mat/Qtimes_q_OQ'
0. 'coq/Coq_NArith_BinNat_N_log2_up_2'#@#variant 'mat/A_SSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_diag' 'mat/minus_n_n'
0. 'coq/Coq_ZArith_BinInt_Z_opp_involutive' 'mat/eq_notb_notb_b_b'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_eq_term_refl' 'mat/nat_compare_n_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_diag'#@#variant 'mat/times_SSO_n'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_max_r' 'mat/le_plus_n'
0. 'coq/Coq_ZArith_BinInt_Z_add_min_distr_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_sqrt_sqrt_up' 'mat/le_times_SSO_n_exp_SSO_n'#@#variant
0. 'coq/Coq_Reals_Exp_prop_exp_pos'#@#variant 'mat/not_nf_elim_not/0'
0. 'coq/Coq_NArith_BinNat_N_sqrtrem_spec' 'mat/PreMonoid_OF_Group'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_succ_diag_r' 'mat/lt_n_nth_prime_n'
0. 'coq/Coq_MSets_MSetPositive_PositiveSet_E_eq_equiv'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_MSets_MSetPositive_PositiveSet_E_bits_lt_antirefl' 'mat/Not_lt_n_n'
0. 'coq/Coq_ZArith_BinInt_Zplus_assoc_reverse' 'mat/assoc_times'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftr_0_l' 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pos_pred_succ' 'mat/defactorize_factorize'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_T_OMEGA13_stable' 'mat/increasing_nth_prime'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_trans' 'mat/trans_divides'
0. 'coq/Coq_ZArith_Zorder_Zplus_le_compat_r' 'mat/le_plus_l'
0. 'coq/Coq_Arith_PeanoNat_Nat_min_glb' 'mat/divides_plus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftl_0_l' 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sub_simpl_r' 'mat/minus_plus_m_m'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lcm_mul_mono_r' 'mat/times_minus_l'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_succ_max_distr' 'mat/Zopp_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_nonneg' 'mat/lt_O_S'
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_2'#@#variant 'mat/B_SSSO'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_continuity_cos' 'mat/increasing_nth_prime'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_1_l'#@#variant 'mat/le_O_n'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_assoc' 'mat/assoc_times'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_1'#@#variant 'mat/A_SSO'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_diag' 'mat/gcd_n_n'
0. 'coq/Coq_PArith_BinPos_Pos_add_xO' 'mat/Zopp_Zplus'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_ldiff_ldiff_l' 'mat/eq_minus_minus_minus_plus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_1'#@#variant 'mat/A_SO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_mul_l' 'mat/times_minus_l'
0. 'coq/Coq_Reals_ROrderedType_R_as_DT_eq_equiv'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_quot_lt'#@#variant 'mat/lt_div'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_opp_0' 'mat/A_SO'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sqrt_succ_le' 'mat/times_SSO_pred'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_nonneg'#@#variant 'mat/lt_O_teta'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_le_compat_r' 'mat/lt_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_succ_inj' 'mat/inj_S'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_antisym' 'mat/le_to_le_to_eq'
0. 'coq/Coq_NArith_BinNat_N_pow_lt_mono_r'#@#variant 'mat/le_log'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_add_lt_mono' 'mat/lt_plus'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_eq_trans'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_Classes_CRelationClasses_RewriteRelation_instance_1' 'mat/symmetric_iff'
0. 'coq/Coq_QArith_QArith_base_Q_Setoid'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_log2_log2_up' 'mat/le_times_SSO_n_exp_SSO_n'#@#variant
0. 'coq/Coq_Classes_CRelationClasses_RewriteRelation_instance_0' 'mat/symmetric_iff'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_transitive'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_max_assoc' 'mat/assoc_times'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_max_distr_l' 'mat/distr_times_plus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_strorder'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_NArith_BinNat_N_shiftl_succ_r' 'mat/eq_minus_S_pred'
0. 'coq/Coq_ZArith_BinInt_Z_eq_trans'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qle_bool_imp_le' 'mat/leb_true_to_le'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_neq' 'mat/eq_to_not_lt'
0. 'coq/Coq_NArith_BinNat_N_land_assoc' 'mat/assoc_times'
0. 'coq/Coq_Arith_PeanoNat_Nat_ldiff_0_l' 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_strorder'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sub_succ_r' 'mat/eq_minus_S_pred'
0. 'coq/Coq_Reals_R_sqr_Rsqr_incr_0_var'#@#variant 'mat/le_pred_to_le'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_wf_0' 'mat/antisymmetric_le'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_succ_le' 'mat/times_SSO_pred'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pos_sub_discr' 'mat/Z_compare_to_Prop'
0. 'coq/Coq_Arith_PeanoNat_Nat_lcm_1_l'#@#variant 'mat/Qtimes_Qone_q'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pred_le_mono' 'mat/le_pred'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_max_distr' 'mat/distr_times_minus'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_0_succ'#@#variant 'mat/lt_O_teta'#@#variant
0. 'coq/Coq_FSets_FSetPositive_PositiveSet_lt_trans' 'mat/trans_lt'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_nonneg_l'#@#variant 'mat/lt_times_r1'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_2_r'#@#variant 'mat/exp_SSO'#@#variant
0. 'coq/Coq_Bool_Bool_orb_false_l' 'mat/Qtimes_Qone_q'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_min_distr_l' 'mat/exp_plus_times'
0. 'coq/Coq_MMaps_MMapPositive_PositiveMap_E_lt_strorder'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pred_sub'#@#variant 'mat/plus_n_SO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_0' 'mat/A_SSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lor_0_l' 'mat/Ztimes_Zone_l'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_min_distr_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_QArith_Qcanon_Qclt_not_eq' 'mat/lt_to_not_eq'
0. 'coq/Coq_Reals_RIneq_Rmult_le_reg_l'#@#variant 'mat/lt_times_n_to_lt_r'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_assoc' 'mat/assoc_times'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_rem_1_r'#@#variant 'mat/bc_n_O'#@#variant
0. 'coq/Coq_NArith_BinNat_N_divide_reflexive'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div2_div'#@#variant 'mat/plus_n_SO'#@#variant
0. 'coq/Coq_Reals_Ratan_ps_atan0_0' 'mat/eq_OZ_Zopp_OZ'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_max_distr_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_NArith_BinNat_N_max_min_distr' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_xO_r' 'mat/plus_n_Sm'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_max_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tmult_opp_left_stable' 'mat/monotonic_A'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_land_lnot_diag' 'mat/rtimes_rinv'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_double_add' 'mat/Zopp_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_succ' 'mat/pred_Sn'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_lt_mono' 'mat/divides_times'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_0_l' 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_le_mono' 'mat/ltS'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_nonneg'#@#variant 'mat/lt_SO_nth_prime_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_le_mono' 'mat/ltS'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_divide_mono_r' 'mat/lt_plus_l'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_max_l' 'mat/le_plus_n_r'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_assoc' 'mat/assoc_times'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_pred_succ' 'mat/Zsucc_Zpred'
0. 'coq/Coq_ZArith_Znat_Zabs_N_nat' 'mat/numerator_nat_fact_to_fraction'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_lt_cancel' 'mat/ltS\''
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_involutive' 'mat/rinv_rinv'
0. 'coq/Coq_PArith_BinPos_Pos_le_preorder'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_eq_sym'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_inj_r'#@#variant 'mat/inj_times_r1'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tplus_permute_stable' 'mat/injective_nth_prime'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_diag' 'mat/gcd_n_n'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_le_mono' 'mat/le_plus'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_beq_true' 'mat/eqb_true_to_eq'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_0_l' 'mat/exp_n_O'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_sub_eq_l' 'mat/plus_to_minus'
0. 'coq/Coq_ZArith_BinInt_Z_log2_nonneg' 'mat/le_SO_fact'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_le_antisymm' 'mat/le_to_le_to_eq'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_nonneg'#@#variant 'mat/lt_O_S'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_land_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_0_succ'#@#variant 'mat/lt_O_fact'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_le_compat_r' 'mat/lt_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_pos'#@#variant 'mat/le_SSO_fact'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_div_small' 'mat/eq_minus_n_m_O'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_divide_l' 'mat/divides_gcd_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_0_r' 'mat/Ztimes_z_OZ'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_add_distr_l' 'mat/distr_times_minus'
0. 'coq/Coq_Arith_PeanoNat_Nat_min_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_succ_r' 'mat/plus_n_Sm'
0. 'coq/Coq_Arith_Div2_double_S' 'mat/times_SSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_eq_trans'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_eqb_correct' 'mat/divides_b_true_to_divides'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_succ_r_prime' 'mat/times_n_Sm'
0. 'coq/Coq_Reals_Raxioms_Rplus_0_l' 'mat/Ztimes_Zone_l'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_pos_l' 'mat/lt_O_exp'
0. 'coq/Coq_ZArith_Zorder_Zmult_le_compat_r'#@#variant 'mat/lt_exp1'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_reduce_lhyps_valid'#@#variant 'mat/monotonic_A'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lor_diag' 'mat/gcd_n_n'
0. 'coq/Coq_ZArith_Zbool_Zeq_bool_if' 'mat/Z_compare_to_Prop'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_simpl_r' 'mat/minus_plus_m_m'
0. 'coq/Coq_ZArith_Zquot_Zrem_opp_opp' 'mat/Zopp_Zplus'
0. 'coq/Coq_Bool_Bool_orb_assoc' 'mat/assoc_times'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_lt_mono_r'#@#variant 'mat/le_log'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_eq_sym'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_0'#@#variant 'mat/A_SSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_succ_diag_r' 'mat/le_n_fact_n'
0. 'coq/Coq_Arith_PeanoNat_Nat_min_assoc' 'mat/andbA'
0. 'coq/Coq_ZArith_BinInt_Z_shiftl_land' 'mat/times_minus_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div_eucl_spec' 'mat/R'
0. 'coq/Coq_Reals_Rbasic_fun_RRle_abs' 'mat/le_n_fact_n'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_l' 'mat/lt_to_eq_mod'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_sub_diag' 'mat/bc_n_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div2_spec'#@#variant 'mat/plus_n_SO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_land_lor_distr_r' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_NArith_BinNat_N_eqb_refl' 'mat/ltb_refl'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_nonneg'#@#variant 'mat/lt_O_nth_prime_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_eqb_refl' 'mat/eqb_n_n'
0. 'coq/Coq_Reals_Rtrigo1_sin_PI' 'mat/B_SSSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_land_0_l' 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_le_mono' 'mat/lt_plus'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_pred_pos'#@#variant 'mat/S_pred'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_land_0_l' 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_lt_trans' 'mat/le_to_lt_to_lt'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_pos' 'mat/lt_SO_n_to_lt_O_pred_n'
0. 'coq/Coq_ZArith_BinInt_Z_lor_m1_r'#@#variant 'mat/times_n_O'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tplus_assoc_r_stable' 'mat/monotonic_sqrt'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lxor_0_l' 'mat/rtimes_one_r'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_pow2'#@#variant 'mat/S_pred'#@#variant
0. 'coq/Coq_NArith_BinNat_N_land_lor_distr_l' 'mat/times_exp'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lxor_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_Reals_Rminmax_R_min_glb' 'mat/divides_minus'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_irrefl' 'mat/Not_lt_n_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mod_1_l'#@#variant 'mat/exp_n_O'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_lt_mono' 'mat/lt_plus'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_assoc' 'mat/andbA'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_add_distr_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_mul' 'mat/Qinv_Qtimes\''
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_sqrt_spec' 'mat/PreMonoid_OF_Group'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_div_factor'#@#variant 'mat/eq_div_plus'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_lt_cancel' 'mat/ltS\''
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_compare_xI_xI' 'mat/nat_compare_S_S'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_le_min_r' 'mat/divides_gcd_nm/0'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lcm_0_l' 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lor_assoc' 'mat/assoc_plus'
0. 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_plus_le_compat' 'mat/le_plus'
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_le_mono' 'mat/ltS'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lor_0_l' 'mat/gcd_O_n'
0. 'coq/Coq_Reals_RIneq_Rle_or_lt' 'mat/not_le_to_lt'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pred_le_mono' 'mat/ltS'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_nonneg'#@#variant 'mat/lt_O_S'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_le_mono' 'mat/divides_times'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_le_compat_l' 'mat/le_plus_r'
0. 'coq/Coq_Reals_Raxioms_Rmult_1_l' 'mat/Ztimes_Zone_l'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_ltb_irrefl' 'mat/nat_compare_n_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_div_small' 'mat/eq_div_O'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_assoc' 'mat/assoc_plus'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_succ_l' 'mat/Zplus_Zpred'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_1_l'#@#variant 'mat/le_O_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_pred_l' 'mat/le_prim_n'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_nonneg'#@#variant 'mat/prime_nth_prime'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_eq_term_refl' 'mat/leb_refl'
0. 'coq/Coq_Reals_RIneq_Rmult_le_compat_r'#@#variant 'mat/lt_exp1'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_compare_refl' 'mat/ltb_refl'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_lt_mono_r'#@#variant 'mat/lt_exp'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_opp_l' 'mat/Zplus_Zpred'
0. 'coq/Coq_Structures_OrdersEx_PositiveOrderedTypeBits_eq_equiv'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_Arith_Mult_mult_S_lt_compat_l' 'mat/lt_times_r'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_2'#@#variant 'mat/A_SO'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_le_compat' 'mat/lt_times'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lxor_lnot_lnot' 'mat/minus_S_S'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_mult_lt_compat_l' 'mat/lt_times_r1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_lt_mono' 'mat/lt_times'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_eq_decidable' 'mat/decidable_eq_Z'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_1_l'#@#variant 'mat/divides_SO_n'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sqrt_1'#@#variant 'mat/eq_OZ_Zopp_OZ'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tred_factor4_stable' 'mat/injective_S'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_eq_0_r' 'mat/andb_true_true_r'
0. 'coq/Coq_Arith_PeanoNat_Nat_ldiff_0_l' 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_succ_diag_r' 'mat/le_n_Sn'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_1'#@#variant 'mat/eq_OZ_Zopp_OZ'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftl_succ_r' 'mat/eq_minus_S_pred'
0. 'coq/Coq_FSets_FSetPositive_PositiveSet_equal_1' 'mat/le_to_leb_true'
0. 'coq/Coq_ZArith_BinInt_Z_add_max_distr_l' 'mat/distr_times_minus'
0. 'coq/Coq_Lists_List_incl_refl' 'mat/incl_A_A'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_involutive' 'mat/rinv_rinv'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_nonneg'#@#variant 'mat/lt_O_S'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lt_0_succ' 'mat/lt_O_nth_prime_n'
0. 'coq/Coq_PArith_BinPos_Pos_ggcd_correct_divisors' 'mat/R'
0. 'coq/Coq_ZArith_BinInt_Z_opp_min_distr' 'mat/demorgan1'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_gcd_divide_l' 'mat/divides_gcd_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_nonneg'#@#variant 'mat/lt_O_S'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_mul_mono_l' 'mat/distr_times_minus'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_lt_cancel' 'mat/ltS\''
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_decidable' 'mat/decidable_lt'
0. 'coq/Coq_MSets_MSetPositive_PositiveSet_E_eq_equiv'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pow_1_l'#@#variant 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_compare_eq' 'mat/eqb_true_to_eq'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_1'#@#variant 'mat/A_SSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_gcd_divide_r' 'mat/divides_gcd_nm/0'
0. 'coq/Coq_NArith_BinNat_N_max_0_l' 'mat/Ztimes_Zone_l'
0. 'coq/Coq_NArith_BinNat_N_sqrt_le_mono' 'mat/lt_to_lt_S_S'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_ggcd_correct_divisors' 'mat/nat_compare_to_Prop'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_compare_refl' 'mat/nat_compare_n_n'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_sub_1_r' 'mat/plus_n_SO'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_le_compat_r' 'mat/le_times_l'
0. 'coq/Coq_ZArith_Zorder_Zlt_not_le' 'mat/lt_to_not_le'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lor_land_distr_r' 'mat/distr_times_minus'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_ldiff_0_l' 'mat/mod_O_n'
0. 'coq/Coq_ZArith_Zdiv_Zmod_0_r' 'mat/times_n_O'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_lt_trans' 'mat/le_to_lt_to_lt'
0. 'coq/Coq_ZArith_Znat_Zabs2N_inj_pos' 'mat/numerator_nat_fact_to_fraction'
0. 'coq/Coq_ZArith_BinInt_Zmult_assoc_reverse' 'mat/assoc_Zplus'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_nonneg'#@#variant 'mat/lt_O_nth_prime_n'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_div2_div'#@#variant 'mat/plus_n_SO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_nonneg'#@#variant 'mat/lt_SO_nth_prime_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_le_mono' 'mat/lt_to_lt_S_S'
0. 'coq/Coq_NArith_Ndec_Neqb_complete' 'mat/same_atom_to_eq'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_log2_up_succ_log2' 'mat/le_teta'#@#variant
0. 'coq/Coq_Arith_Mult_mult_le_compat_l' 'mat/le_plus_r'
0. 'coq/Coq_Init_Datatypes_prod_ind' 'mat/Prod_ind'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_0_succ'#@#variant 'mat/lt_SO_nth_prime_n'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_le_mono' 'mat/le_to_le_pred'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_land_lor_distr_l' 'mat/times_minus_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_min_distr' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_le_mono' 'mat/le_plus'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_pow' 'mat/Zplus_Zpred'
0. 'coq/Coq_QArith_QArith_base_Qplus_le_compat' 'mat/le_times'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_min_distr' 'mat/Zopp_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_decidable' 'mat/decidable_le'
0. 'coq/Coq_Arith_PeanoNat_Nat_land_lor_distr_l' 'mat/times_minus_l'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_0' 'mat/A_SO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sub_max_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_le_compat_r' 'mat/le_times_l'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_eq_term_refl' 'mat/ltb_refl'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_sub' 'mat/minus_plus_m_m'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_2'#@#variant 'mat/A_SSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_trans' 'mat/trans_lt'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lor_assoc' 'mat/andb_assoc'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_le_lin'#@#variant 'mat/divides_smallest_factor_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_succ_diag_r' 'mat/le_n_Sn'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_1' 'mat/A_SO'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_lt_cancel' 'mat/ltS\''
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_1_succ' 'mat/lt_O_fact'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_involutive' 'mat/notb_notb'
0. 'coq/Coq_Arith_PeanoNat_Nat_min_le_compat_l' 'mat/lt_plus_r'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_preorder'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_1_l' 'mat/Qtimes_Qone_q'
0. 'coq/Coq_Reals_R_sqrt_sqrt_pos'#@#variant 'mat/not_nf_elim_not/0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_QArith_QOrderedType_Q_as_OT_eq_equiv'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_square_nonneg'#@#variant 'mat/id_axiom'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_le_mono' 'mat/le_plus'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_le_mono' 'mat/le_plus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lcm_assoc' 'mat/assoc_times'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_Even_or_Odd' 'mat/not_not_bertrand_to_bertrand'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_1_r'#@#variant 'mat/times_n_O'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div_le_lower_bound'#@#variant 'mat/le_times_to_le_div'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_1_l'#@#variant 'mat/gcd_O_n'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_min_distr' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_NArith_BinNat_N_shiftr_shiftr' 'mat/exp_exp_times'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_refl' 'mat/divides_n_n'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_refl' 'mat/divides_n_n'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_r' 'mat/le_times_l'
0. 'coq/Coq_QArith_QOrderedType_Q_as_OT_eq_equiv'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_le_mono' 'mat/lt_plus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_assoc' 'mat/assoc_plus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_lt_mono' 'mat/le_plus'
0. 'coq/Coq_NArith_BinNat_N_gcd_1_r'#@#variant 'mat/Qtimes_q_OQ'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_reduce_stable' 'mat/monotonic_A'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sqrt_1'#@#variant 'mat/A_SSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_1_l' 'mat/rtimes_one_r'
0. 'coq/Coq_ZArith_BinInt_Z_log2_pos'#@#variant 'mat/prime_smallest_factor_n'#@#variant
0. 'coq/Coq_NArith_BinNat_N_ldiff_diag' 'mat/bc_n_n'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lt_strorder'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_mul_l' 'mat/times_minus_l'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_l' 'mat/le_to_mod'
0. 'coq/Coq_QArith_QArith_base_Qle_refl' 'mat/divides_n_n'
0. 'coq/Coq_Init_Peano_plus_Sn_m' 'mat/Zplus_Zpred'
0. 'coq/Coq_NArith_BinNat_N_le_pred_l' 'mat/le_prim_n'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_lt_mono' 'mat/lt_plus'
0. 'coq/Coq_PArith_BinPos_Pos_max_le_compat' 'mat/lt_times'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_QArith_QOrderedType_QOrder_eq_trans' 'mat/trans_divides'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_trans' 'mat/trans_le'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftl_lor' 'mat/times_exp'
0. 'coq/Coq_Reals_Rminmax_R_opp_min_distr' 'mat/demorgan1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_add_distr_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_NArith_BinNat_N_lor_diag' 'mat/gcd_n_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_le_mono' 'mat/lt_to_lt_S_S'
0. 'coq/Coq_ZArith_BinInt_Zplus_assoc_reverse' 'mat/assoc_Ztimes'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_max_distr_r' 'mat/times_exp'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_gcd_divide_l' 'mat/le_minus_m'
0. 'coq/Coq_PArith_BinPos_Pcompare_refl'#@#variant 'mat/ltb_refl'
0. 'coq/Coq_Reals_RIneq_Rlt_not_eq' 'mat/lt_to_not_eq'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_sub_mask_diag' 'mat/nat_compare_n_n'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_max_distr_r' 'mat/times_exp'
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_divide_l' 'mat/divides_gcd_nm/1'
0. 'coq/Coq_ZArith_BinInt_Z_lt_strorder'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_NArith_BinNat_N_log2_1'#@#variant 'mat/B_SSSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_eq_0_r' 'mat/eq_Qtimes_OQ_to_eq_OQ'
0. 'coq/Coq_ZArith_Znumtheory_rel_prime_1'#@#variant 'mat/le_O_n'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_le_lin' 'mat/le_prim_n'
0. 'coq/Coq_Bool_Bool_andb_assoc' 'mat/andbA'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_min_distr_l' 'mat/distr_times_plus'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_succ_le' 'mat/times_SSO_pred'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_eq_decidable' 'mat/bool_to_decidable_eq'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_add_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_Reals_Rtrigo_def_sin_no_R0' 'mat/not_eq_numerator_nfa_zero'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_min_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_NArith_BinNat_N_lt_succ_diag_r' 'mat/le_n_Sn'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_max_distr_l' 'mat/distr_times_plus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_le_mono' 'mat/lt_plus'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_nonneg' 'mat/lt_O_teta'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_assoc' 'mat/andbA'
0. 'coq/Coq_Structures_OrderedTypeEx_Positive_as_OT_lt_trans' 'mat/trans_le'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftr_land' 'mat/times_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lcm_assoc' 'mat/assoc_plus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftl_land' 'mat/times_minus_l'
0. 'coq/Coq_NArith_BinNat_N_add_0_l' 'mat/gcd_O_n'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_lt_0'#@#variant 'mat/ltn_to_ltO'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_eqb_refl' 'mat/eqb_n_n'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_1_r'#@#variant 'mat/plus_n_SO'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_succ_max_distr' 'mat/Qinv_Qtimes\''
0. 'coq/Coq_NArith_BinNat_N_sqrt_2'#@#variant 'mat/B_SSSO'#@#variant
0. 'coq/Coq_MMaps_MMapPositive_PositiveMap_E_lt_strorder'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_sqrt_spec' 'mat/num'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_lt_cancel' 'mat/le_S_S_to_le'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftl_succ_r' 'mat/eq_minus_S_pred'
0. 'coq/Coq_QArith_Qcanon_Qcinv_mult_distr' 'mat/Zopp_Zplus'
0. 'coq/Coq_Arith_Mult_mult_le_compat_r' 'mat/lt_plus_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_eq_equiv'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mod_1_r'#@#variant 'mat/mod_SO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ldiff_ldiff_l' 'mat/eq_minus_minus_minus_plus'
0. 'coq/Coq_Reals_RIneq_Ropp_eq_compat' 'mat/congr_S'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_compare_antisym' 'mat/nat_compare_n_m_m_n'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_2'#@#variant 'mat/B_SSSO'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lor_eq_0_l' 'mat/andb_true_true'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_reflexive'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_nonneg' 'mat/lt_O_fact'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_two_succ'#@#variant 'mat/A_SSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_lt_trans' 'mat/le_to_lt_to_lt'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_max_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lxor_nilpotent' 'mat/minus_n_n'
0. 'coq/Coq_ZArith_BinInt_Z_gcd_greatest' 'mat/divides_plus'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_mul_l' 'mat/times_minus_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_max_r' 'mat/le_plus_n'
0. 'coq/Coq_ZArith_Zorder_Zsucc_lt_compat' 'mat/lt_to_lt_S_S'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_T_OMEGA11_stable' 'mat/monotonic_A'#@#variant
0. 'coq/Coq_Reals_ROrderedType_ROrder_TO_eq_equiv'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_lt_lin'#@#variant 'mat/lt_sqrt_n'#@#variant
0. 'coq/Coq_Reals_Rtrigo_def_sinh_0' 'mat/A_SSO'#@#variant
0. 'coq/Coq_Reals_Rtrigo1_sin_2PI'#@#variant 'mat/A_SSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_sub_distr_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_sqrt_spec' 'mat/primeb_to_Prop'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_le_mono' 'mat/le_pred'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_le_mono' 'mat/lt_to_lt_S_S'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_min_distr' 'mat/distr_times_minus'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_decidable' 'mat/decidable_le'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_pred_l' 'mat/le_pred_n'
0. 'coq/Coq_Arith_PeanoNat_Nat_land_assoc' 'mat/andb_assoc'
0. 'coq/Coq_Reals_R_sqrt_sqrt_le_1_alt' 'mat/ltS'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lor_land_distr_r' 'mat/distr_times_plus'
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_mul_mono_l' 'mat/distr_times_plus'
0. 'coq/Coq_PArith_BinPos_Pos_add_max_distr_r' 'mat/times_exp'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_land_assoc' 'mat/assoc_times'
0. 'coq/Coq_Reals_Exp_prop_exp_pos'#@#variant 'mat/lt_O_S'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_lt_cancel' 'mat/le_S_S_to_le'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_one_succ'#@#variant 'mat/B_SSSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div2_succ_double' 'mat/Zsucc_Zpred'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_nlt_succ_diag_l' 'mat/not_le_Sn_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_lt_mono' 'mat/le_times'
0. 'coq/Coq_ZArith_BinInt_Z_shiftl_lor' 'mat/times_exp'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_min_distr_l' 'mat/distr_times_minus'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_le_trans' 'mat/lt_to_le_to_lt'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_trans' 'mat/trans_divides'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_strorder'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_nonneg_l'#@#variant 'mat/le_exp'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_eq_equiv'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_nonneg'#@#variant 'mat/lt_SO_nth_prime_n'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono' 'mat/lt_times'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sub_0_l' 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_min_distr_r' 'mat/times_exp'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono' 'mat/divides_times'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_le_mono' 'mat/ltS'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_pred_l' 'mat/le_prim_n'
0. 'coq/Coq_NArith_BinNat_N_sub_max_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_lt_mono' 'mat/lt_times'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_nonneg'#@#variant 'mat/lt_O_S'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_lt_cancel' 'mat/lt_S_S_to_lt'
0. 'coq/Coq_PArith_BinPos_Pos_min_le_compat_l' 'mat/le_plus_r'
0. 'coq/Coq_Reals_R_sqrt_sqrt_pos'#@#variant 'mat/prime_nth_prime'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_le_mono' 'mat/le_plus'
0. 'coq/Coq_ZArith_BinInt_Z_lor_0_l' 'mat/Qtimes_Qone_q'
0. 'coq/Coq_NArith_BinNat_N_div2_spec'#@#variant 'mat/plus_n_SO'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_succ_pred_pos' 'mat/S_pred'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_Even_or_Odd' 'mat/not_not_bertrand_to_bertrand'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_pos'#@#variant 'mat/lt_SO_n_to_lt_O_pred_n'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_even_aux' 'mat/PreMonoid_OF_Group'
0. 'coq/Coq_PArith_BinPos_Pos_add_assoc' 'mat/assoc_plus'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_1_l' 'mat/Ztimes_Zone_l'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_reflexive'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_assoc' 'mat/assoc_plus'
0. 'coq/Coq_Reals_Rminmax_R_plus_max_distr_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Arith_PeanoNat_Nat_land_lor_distr_r' 'mat/distr_times_plus'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_max_distr_l' 'mat/distr_times_minus'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_nonneg'#@#variant 'mat/lt_O_teta'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lcm_assoc' 'mat/andb_assoc'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_land_assoc' 'mat/assoc_times'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_eq_equiv'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_add_distr' 'mat/eq_minus_minus_minus_plus'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_ldiff_ldiff_l' 'mat/exp_exp_times'
0. 'coq/Coq_Reals_RIneq_Rge_trans' 'mat/trans_lt'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lxor_0_l' 'mat/Ztimes_Zone_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_0' 'mat/A_SSO'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_pos'#@#variant 'mat/lt_SO_n_to_lt_O_pred_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_lt_mono' 'mat/le_plus'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrtrem_spec' 'mat/semigroup'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_reflexive'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_assoc' 'mat/andb_assoc'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_lt_lin'#@#variant 'mat/divides_smallest_factor_n'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pred_le_mono' 'mat/le_to_le_pred'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_nonneg_l'#@#variant 'mat/lt_exp'#@#variant
0. 'coq/Coq_NArith_Ndist_ni_le_min_2' 'mat/divides_gcd_nm/0'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_sub_mask_neg' 'mat/le_to_leb_true'
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_sub_r' 'mat/divides_plus'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_eq_sym'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_divide_mono_r' 'mat/le_plus_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_min_distr_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_irrefl' 'mat/Not_lt_n_n'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_nonneg_l'#@#variant 'mat/lt_times_r1'#@#variant
0. 'coq/Coq_Arith_Lt_lt_le_S' 'mat/Zlt_to_Zle'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_land_lor_distr_r' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Reals_Ratan_atan_increasing' 'mat/le_pred'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftl_land' 'mat/times_exp'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_le_mono' 'mat/lt_to_lt_S_S'
0. 'coq/Coq_NArith_BinNat_N_succ_0_discr' 'mat/not_eq_O_S'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lnot_ones' 'mat/minus_Sn_n'#@#variant
0. 'coq/Coq_ZArith_Zdiv_Zmod_0_r' 'mat/Qtimes_q_OQ'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_diag' 'mat/times_SSO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_pos_le' 'mat/divides_to_le'
0. 'coq/Coq_ZArith_Znumtheory_Zgcd_ass' 'mat/andb_assoc'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_r' 'mat/le_times_l'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_1_l' 'mat/exp_SO_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_trans' 'mat/trans_le'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_id' 'mat/gcd_n_n'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_nonneg_r' 'mat/lt_times_l1'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_id' 'mat/gcd_n_n'
0. 'coq/Coq_NArith_BinNat_N_max_min_distr' 'mat/distr_times_minus'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_sqrt_spec' 'mat/AA'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_lt_cancel' 'mat/lt_S_S_to_lt'
0. 'coq/Coq_QArith_QOrderedType_Q_as_DT_eq_equiv'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_le_mono' 'mat/le_pred'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_leb_refl' 'mat/nat_compare_n_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_max_distr' 'mat/demorgan1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_rem_1_r'#@#variant 'mat/mod_SO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_id' 'mat/orb_refl'
0. 'coq/Coq_Arith_Lt_lt_S_n' 'mat/ltS\''
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lor_land_distr_r' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_1_r'#@#variant 'mat/times_n_O'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_1'#@#variant 'mat/A_SSO'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_sub_mask_diag' 'mat/nat_compare_n_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_pos_l'#@#variant 'mat/lt_O_exp'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_le_mono' 'mat/lt_plus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_preorder'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_Reals_RIneq_Rplus_lt_compat' 'mat/lt_times'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_strorder'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lxor_assoc' 'mat/assoc_times'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_add_diag_r' 'mat/le_plus_n_r'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftr_land' 'mat/times_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_2'#@#variant 'mat/eq_OZ_Zopp_OZ'
0. 'coq/Coq_Arith_Plus_plus_lt_compat' 'mat/le_times'
0. 'coq/Coq_ZArith_BinInt_Z_lcm_1_r'#@#variant 'mat/plus_n_SO'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tmult_assoc_reduced_stable' 'mat/monotonic_sqrt'#@#variant
0. 'coq/Coq_Arith_Min_plus_min_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_Reals_Rbasic_fun_Rmin_left' 'mat/le_to_mod'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftl_land' 'mat/times_minus_l'
0. 'coq/Coq_NArith_Ndist_ni_min_idemp' 'mat/orb_refl'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_2'#@#variant 'mat/eq_OZ_Zopp_OZ'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_le_mono' 'mat/ltS'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_nonneg'#@#variant 'mat/lt_O_S'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_lt_lin'#@#variant 'mat/divides_smallest_factor_n'#@#variant
0. 'coq/Coq_NArith_BinNat_N_divide_pos_le' 'mat/divides_to_le'
0. 'coq/Coq_Arith_PeanoNat_Nat_min_max_distr' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Structures_OrderedTypeEx_Positive_as_OT_lt_trans' 'mat/trans_divides'
0. 'coq/Coq_Reals_Rtrigo1_continuity_cos' 'mat/injective_S'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_max_le_compat_l' 'mat/lt_plus_r'
0. 'coq/Coq_Reals_RIneq_Rplus_le_reg_l' 'mat/lt_plus_to_lt_r'
0. 'coq/Coq_NArith_BinNat_N_min_0_l' 'mat/mod_O_n'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_pred_succ' 'mat/Zpred_Zsucc'
0. 'coq/Coq_NArith_BinNat_N_mul_assoc' 'mat/andb_assoc'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_succ_le' 'mat/times_SSO_pred'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_assoc' 'mat/andb_assoc'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_le_compat' 'mat/le_plus'
0. 'coq/Coq_ZArith_Zeven_Zeven_2p'#@#variant 'mat/lt_O_nth_prime_n'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_nonneg'#@#variant 'mat/lt_O_exp'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_assoc' 'mat/assoc_plus'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrtrem_spec' 'mat/AA'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_0_r' 'mat/Ztimes_z_OZ'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_sub_distr_l' 'mat/distr_times_minus'
0. 'coq/Coq_Reals_RIneq_Rmult_integral_contrapositive' 'mat/times_O_to_O'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_nonneg'#@#variant 'mat/lt_SO_nth_prime_n'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_le_compat_l' 'mat/lt_plus_r'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_lt_mono' 'mat/le_plus'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_1_l' 'mat/Zpred_Zplus_neg_O'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_diag' 'mat/minus_n_n'
0. 'coq/Coq_QArith_Qminmax_Q_min_le_compat' 'mat/lt_plus'
0. 'coq/Coq_Reals_ROrderedType_R_as_DT_eq_equiv'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_glb' 'mat/divides_plus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_max_distr_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_T_OMEGA13_stable' 'mat/injective_nth_prime'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_divide_mono_l' 'mat/le_times_r'
0. 'coq/Coq_ZArith_BinInt_Z_opp_0' 'mat/eq_OZ_Zopp_OZ'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_1'#@#variant 'mat/eq_OZ_Zopp_OZ'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_b2z_inj' 'mat/inj_pos'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_sqrt_spec' 'mat/AA'
0. 'coq/Coq_NArith_BinNat_N_log2_lt_cancel' 'mat/le_S_S_to_le'
0. 'coq/Coq_Arith_PeanoNat_Nat_div_small' 'mat/lt_to_div_O'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_nonneg'#@#variant 'mat/not_nf_elim_not/0'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono' 'mat/lt_times'
0. 'coq/Coq_NArith_BinNat_N_add_le_mono' 'mat/le_times'
0. 'coq/__constr_Coq_Classes_Morphisms_normalization_done_0_1' 'mat/daemon1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_succ_diag_r' 'mat/lt_n_nth_prime_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_lt_mono' 'mat/le_times'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_1_succ' 'mat/lt_O_S'
0. 'coq/Coq_Reals_Ratan_ps_atan0_0' 'mat/A_SO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_1_l'#@#variant 'mat/mod_O_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_nonneg'#@#variant 'mat/lt_O_fact'#@#variant
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_eq_not_lt' 'mat/lt_to_not_eq'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_eq_trans'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qcplus_assoc' 'mat/assoc_plus'
0. 'coq/Coq_NArith_BinNat_N_lor_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_nonneg' 'mat/lt_O_S'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_le_mono' 'mat/ltS'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lcm_1_l'#@#variant 'mat/rtimes_one_r'
0. 'coq/Coq_Arith_PeanoNat_Nat_min_max_distr' 'mat/distr_times_plus'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tred_factor1_stable' 'mat/monotonic_sqrt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_nle_succ_0' 'mat/not_le_Sn_O'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_opp_add_distr' 'mat/Qinv_Qtimes\''
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono' 'mat/divides_times'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_le_mono' 'mat/le_to_le_pred'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lor_m1_r'#@#variant 'mat/times_n_O'
0. 'coq/Coq_ZArith_BinInt_Z_add_1_l' 'mat/Zsucc_Zplus_pos_O'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_lt_mono' 'mat/lt_times'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_min_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_le_mono' 'mat/le_pred'
0. 'coq/Coq_Reals_Rtrigo1_continuity_cos' 'mat/monotonic_A'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_le_mono_nonneg_l'#@#variant 'mat/lt_exp'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_sub_distr_r' 'mat/times_exp'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_le_compat_r' 'mat/lt_plus_l'
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_nonneg' 'mat/lt_O_nth_prime_n'
0. 'coq/Coq_MSets_MSetPositive_PositiveSet_compare_eq' 'mat/divides_b_true_to_divides'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_eq_equiv'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_Reals_Rtrigo_reg_continuity_sin' 'mat/monotonic_sqrt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_ggcd_correct_divisors' 'mat/ltb_to_Prop'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_lxor_r' 'mat/plus_n_Sm'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_eq_0_r' 'mat/times_O_to_O'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ldiff_m1_r'#@#variant 'mat/exp_n_O0'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_add_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_ZArith_BinInt_Z_log2_pow2'#@#variant 'mat/S_pred'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_eq_trans'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_lt_mono' 'mat/divides_times'
0. 'coq/Coq_Bool_Bool_andb_orb_distrib_r' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_NArith_BinNat_N_mul_divide_mono_l' 'mat/le_times_r'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_1'#@#variant 'mat/B_SSSSO'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lor_land_distr_l' 'mat/times_plus_l'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_strorder'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_log2_up_succ_log2' 'mat/le_teta'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_shiftr_lor' 'mat/times_minus_l'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_gcd_greatest' 'mat/divides_plus'
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_1'#@#variant 'mat/B_SSSSO'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_le_compat_r' 'mat/le_times_l'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_0' 'mat/A_SSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_div_factor' 'mat/eq_div_plus'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_sub_distr_r' 'mat/times_exp'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_assoc' 'mat/assoc_times'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_le_compat_r' 'mat/le_plus_l'
0. 'coq/Coq_Arith_Plus_plus_lt_reg_l' 'mat/lt_plus_to_lt_r'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_nonneg'#@#variant 'mat/lt_O_fact'#@#variant
0. 'coq/Coq_Arith_Plus_plus_le_compat_l' 'mat/lt_plus_r'
0. 'coq/Coq_PArith_BinPos_Pos_min_max_distr' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_land_assoc' 'mat/andb_assoc'
0. 'coq/Coq_ZArith_Zeven_Zodd_Sn' 'mat/lt_SO_n_to_lt_O_pred_n'#@#variant
0. 'coq/Coq_Arith_Gt_gt_n_S' 'mat/le_to_le_pred'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_add_distr_l' 'mat/distr_times_plus'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tplus_assoc_r_stable' 'mat/injective_nth_prime'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_le_mono' 'mat/le_pred'
0. 'coq/Coq_ZArith_BinInt_Z_sub_pred_l' 'mat/Zplus_Zsucc'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_preorder'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_compare_eq' 'mat/same_atom_to_eq'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_min_l' 'mat/divides_gcd_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftl_land' 'mat/times_exp'
0. 'coq/Coq_Arith_PeanoNat_Nat_div2_div'#@#variant 'mat/plus_n_SO'#@#variant
0. 'coq/Coq_Reals_RIneq_Rmult_integral' 'mat/times_O_to_O'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_log2_log2_up' 'mat/le_B_A'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lcm_assoc' 'mat/assoc_times'
0. 'coq/Coq_Arith_PeanoNat_Nat_ldiff_0_l' 'mat/mod_O_n'
0. 'coq/Coq_Arith_Mult_mult_lt_compat_l'#@#variant 'mat/le_exp'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lor_diag' 'mat/gcd_n_n'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_id' 'mat/numeratorQ_nat_fact_all_to_Q'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_inj' 'mat/inj_neg'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_1_l' 'mat/gcd_SO_n'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_lt_cancel' 'mat/lt_S_S_to_lt'
0. 'coq/Coq_ZArith_BinInt_Z_log2_lt_cancel' 'mat/le_S_S_to_le'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_id' 'mat/gcd_n_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftl_0_l' 'mat/mod_O_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_eq_refl'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_eq_decidable' 'mat/decidable_eq_fraction'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lcm_mul_mono_r' 'mat/times_minus_l'
0. 'coq/Coq_ZArith_BinInt_Z_pos_sub_opp' 'mat/nat_compare_n_m_m_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_inj_r'#@#variant 'mat/inj_exp_r'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_nonneg' 'mat/lt_O_fact'
0. 'coq/Coq_ZArith_Zdiv_Zmod_1_r'#@#variant 'mat/exp_n_O0'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_min_le_compat' 'mat/le_times'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_0' 'mat/eq_OZ_Zopp_OZ'
0. 'coq/Coq_ZArith_BinInt_Z_land_diag' 'mat/orb_refl'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_mul_r' 'mat/eq_div_div_div_times'
0. 'coq/Coq_QArith_Qcanon_Qcplus_0_l'#@#variant 'mat/rtimes_one_r'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_eq_decidable' 'mat/bool_to_decidable_eq'
0. 'coq/Coq_PArith_BinPos_Pos_leb_refl' 'mat/nat_compare_n_n'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_even_aux' 'mat/primeb_to_Prop'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_succ_r_prime' 'mat/times_n_Sm'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div_eucl_spec' 'mat/nat_compare_to_Prop'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lor_0_l' 'mat/Qtimes_Qone_q'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_nonneg'#@#variant 'mat/prime_nth_prime'
0. 'coq/Coq_Bool_Zerob_zerob_false_intro' 'mat/is_one_OZ'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_ggcd_correct_divisors' 'mat/nat_compare_to_Prop'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_le_mono_nonneg_r' 'mat/lt_exp1'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_eq_term_refl' 'mat/eqb_n_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_min_distr_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lor_diag' 'mat/gcd_n_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_le_compat_l' 'mat/le_times_r'
0. 'coq/Coq_MSets_MSetPositive_PositiveSet_compare_bool_inv' 'mat/nat_compare_n_m_m_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_mul_mono_r' 'mat/times_exp'
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_divide/1' 'mat/divides_gcd_m'
0. 'coq/Coq_Arith_PeanoNat_Nat_lor_land_distr_l' 'mat/times_exp'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_add_r' 'mat/le_plus_n_r'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_nonneg' 'mat/lt_O_S'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_lt_cancel' 'mat/lt_S_S_to_lt'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_eq_decidable' 'mat/decidable_eq_fraction'
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_trans' 'mat/trans_lt'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_1'#@#variant 'mat/A_SSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_min_distr' 'mat/Zopp_Zplus'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_trans' 'mat/trans_le'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_xO' 'mat/Qinv_Qtimes\''
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pred_le_mono' 'mat/lt_to_lt_S_S'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_succ_le' 'mat/times_SSO_pred'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Topp_one_stable' 'mat/injective_S'#@#variant
0. 'coq/Coq_Arith_Lt_lt_not_le' 'mat/le_to_not_lt'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_1'#@#variant 'mat/B_SSSO'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_min_distr_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_NArith_BinNat_N_add_min_distr_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Arith_Mult_mult_le_compat' 'mat/lt_plus'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_xO_r' 'mat/plus_n_Sm'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_lt_mono' 'mat/le_plus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_divide_mono_l' 'mat/lt_plus_r'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_add_pos_l'#@#variant 'mat/lt_m_exp_nm'#@#variant
0. 'coq/Coq_Reals_RIneq_Rgt_ge_trans' 'mat/lt_to_le_to_lt'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_eqb_refl' 'mat/eqb_n_n'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_max_distr_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_max_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_max_l' 'mat/le_plus_n_r'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_land_diag' 'mat/orb_refl'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_glb' 'mat/divides_minus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_quotrem_eq' 'mat/R'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_eq_sym'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_l' 'mat/le_to_mod'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_assoc' 'mat/andb_assoc'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_nonneg' 'mat/lt_O_nth_prime_n'
0. 'coq/Coq_NArith_BinNat_N_pow_0_r'#@#variant 'mat/mod_SO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_0_l' 'mat/gcd_O_n'
0. 'coq/Coq_Structures_DecidableTypeEx_Z_as_DT_lt_trans' 'mat/trans_lt'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_assoc' 'mat/assoc_times'
0. 'coq/Coq_PArith_BinPos_Pos_max_1_l' 'mat/Qtimes_Qone_q'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_le_mono' 'mat/le_plus'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_assoc' 'mat/assoc_plus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_0_l' 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_greatest' 'mat/divides_minus'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_lt_trans' 'mat/le_to_lt_to_lt'
0. 'coq/Coq_ZArith_BinInt_Z_add_shuffle1' 'mat/ab_times_cd'
0. 'coq/Coq_MSets_MSetPositive_PositiveSet_E_bits_lt_trans' 'mat/trans_le'
0. 'coq/Coq_Reals_Rminmax_R_max_assoc' 'mat/andb_assoc'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_eq_refl'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_eq_refl'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_Arith_Plus_plus_lt_compat' 'mat/lt_times'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_assoc' 'mat/assoc_plus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_land_lnot_diag' 'mat/rtimes_rinv'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_strorder'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_even_pred' 'mat/pos_n_eq_S_n'
0. 'coq/Coq_Structures_OrdersEx_PositiveOrderedTypeBits_eq_equiv'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_Classes_RelationClasses_iff_Transitive' 'mat/impl_refl'
0. 'coq/Coq_NArith_BinNat_N_eq_refl'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_nonneg' 'mat/lt_O_teta'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_mul_mono_l' 'mat/distr_times_plus'
0. 'coq/Coq_ZArith_Zorder_Zmult_le_compat_l'#@#variant 'mat/le_exp'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_1_l' 'mat/mod_O_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_mul_mono_r' 'mat/times_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_compare_antisym' 'mat/nat_compare_n_m_m_n'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_succ_r_prime' 'mat/exp_S'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_lt_strorder'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_eq_sym'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_NArith_BinNat_N_min_assoc' 'mat/assoc_plus'
0. 'coq/Coq_NArith_BinNat_N_mul_assoc' 'mat/andbA'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_lt_mono' 'mat/divides_times'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_min_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_le_mono' 'mat/lt_to_lt_S_S'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_divide_mono_l' 'mat/lt_plus_r'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_lt_0'#@#variant 'mat/ltn_to_ltO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_succ_l' 'mat/Zplus_Zsucc'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_land_lor_distr_r' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_nonneg_l'#@#variant 'mat/le_exp'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_nonneg' 'mat/lt_O_S'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_l' 'mat/lt_plus_r'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_glb' 'mat/divides_minus'
0. 'coq/Coq_Arith_Min_min_0_l' 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_NArith_BinNat_N_le_min_l' 'mat/le_minus_m'
0. 'coq/Coq_NArith_BinNat_N_lcm_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Topp_one_stable' 'mat/monotonic_sqrt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_transitive'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_Reals_Ratan_pos_opp_lt'#@#variant 'mat/divides_smallest_factor_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_max_distr_r' 'mat/times_exp'
0. 'coq/Coq_Reals_Raxioms_Rplus_0_l' 'mat/rtimes_one_r'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_div_eucl' 'mat/Z_compare_to_Prop'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_assoc' 'mat/andb_assoc'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_glb_lt' 'mat/divides_minus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_quotrem_eq' 'mat/eqZb_to_Prop'
0. 'coq/Coq_ZArith_BinInt_Z_mul_divide_mono_r' 'mat/lt_plus_l'
0. 'coq/Coq_Bool_Bool_orb_false_l' 'mat/rtimes_one_r'
0. 'coq/Coq_Reals_Rtrigo_calc_tan_PI4'#@#variant 'mat/B_SSSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_assoc' 'mat/andb_assoc'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pow_inj_r'#@#variant 'mat/le_exp_to_le'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_nonneg'#@#variant 'mat/lt_O_nth_prime_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_2_r'#@#variant 'mat/exp_SSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_ggcd_correct_divisors' 'mat/R'
0. 'coq/Coq_Arith_PeanoNat_Nat_land_assoc' 'mat/andbA'
0. 'coq/Coq_QArith_Qcanon_Qcplus_0_l'#@#variant 'mat/Qtimes_Qone_q'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_le_mono' 'mat/ltS'
0. 'coq/Coq_Reals_Rbasic_fun_Ropp_Rmin' 'mat/demorgan2'
0. 'coq/Coq_NArith_BinNat_N_max_assoc' 'mat/andb_assoc'
0. 'coq/Coq_fourier_Fourier_util_Rnot_le_le'#@#variant 'mat/lt_O_bc'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qinv_le_0_compat'#@#variant 'mat/lt_O_smallest_factor'#@#variant
0. 'coq/Coq_QArith_QArith_base_Q_Setoid'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_lt_mono_r'#@#variant 'mat/lt_times_r1'#@#variant
0. 'coq/Coq_MSets_MSetPositive_PositiveSet_E_bits_lt_trans' 'mat/trans_lt'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_0_r' 'mat/times_n_O'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_min_distr_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_compare_refl' 'mat/eqb_n_n'
0. 'coq/Coq_ZArith_Zorder_Zplus_le_compat_r' 'mat/le_times_l'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_le_compat' 'mat/divides_times'
0. 'coq/Coq_Reals_RIneq_Ropp_involutive' 'mat/Qinv_Qinv'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pred_le_mono' 'mat/ltS'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_assoc' 'mat/assoc_plus'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_le_mono' 'mat/lt_plus'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_reduce_lhyps_valid'#@#variant 'mat/injective_S'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sub_min_distr_l' 'mat/exp_plus_times'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_nonneg'#@#variant 'mat/lt_SO_nth_prime_n'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_add_min_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_Classes_CRelationClasses_RewriteRelation_instance_1' 'mat/reflexive_iff'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_0_r' 'mat/divides_n_O'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_eq_equiv'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_Classes_CRelationClasses_RewriteRelation_instance_0' 'mat/reflexive_iff'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tred_factor3_stable' 'mat/monotonic_A'#@#variant
0. 'coq/Coq_FSets_FSetPositive_PositiveSet_equal_2' 'mat/leb_true_to_le'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_lcm_r' 'mat/le_plus_n'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_nonneg'#@#variant 'mat/lt_O_nth_prime_n'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_le_mono' 'mat/lt_to_lt_S_S'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftr_lor' 'mat/times_plus_l'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_trans' 'mat/trans_lt'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_even_pred' 'mat/pos_n_eq_S_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lor_m1_l'#@#variant 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_Reals_Ranalysis4_Rcontinuity_abs' 'mat/monotonic_sqrt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_assoc' 'mat/assoc_plus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_lt_cancel' 'mat/ltS\''
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_eqb_refl' 'mat/ltb_refl'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_pred_l' 'mat/le_smallest_factor_n'
0. 'coq/Coq_NArith_BinNat_N_lcm_mul_mono_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Reals_Raxioms_Rmult_plus_distr_l' 'mat/distr_times_minus'
0. 'coq/Coq_ZArith_Znat_inj_lt' 'mat/lt_to_Zlt_pos_pos'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_square' 'mat/eq_sqrt'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_0_succ' 'mat/lt_O_nth_prime_n'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_land_assoc' 'mat/andb_assoc'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_le_compat_l' 'mat/le_plus_r'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_quot_le_lower_bound'#@#variant 'mat/le_times_to_le_div'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_0_succ'#@#variant 'mat/lt_O_fact'#@#variant
0. 'coq/Coq_Reals_Raxioms_Rmult_1_l' 'mat/rtimes_one_r'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_sub_add' 'mat/plus_minus_m_m'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_double_spec'#@#variant 'mat/eq_B_B1'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_divide_l' 'mat/le_minus_m'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_lcm_r' 'mat/le_plus_n'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_glb_lt' 'mat/divides_plus'
0. 'coq/Coq_ZArith_Zbool_Zgt_cases' 'mat/eqZb_to_Prop'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_1_l'#@#variant 'mat/mod_O_n'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_succ_diag_r' 'mat/le_n_Sn'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pred_succ' 'mat/Zsucc_Zpred'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_nonneg' 'mat/lt_O_S'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_le_mono' 'mat/le_pred'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_trans' 'mat/trans_le'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_nonneg'#@#variant 'mat/lt_SO_nth_prime_n'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_le_mono' 'mat/lt_to_lt_S_S'
0. 'coq/Coq_PArith_BinPos_Pos_pow_succ_r' 'mat/times_n_Sm'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pred_le_mono' 'mat/le_pred'
0. 'coq/Coq_ZArith_BinInt_Z_sub_succ_l' 'mat/Zplus_Zsucc'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_1_l' 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lcm_0_l' 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tplus_assoc_l_stable' 'mat/monotonic_sqrt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sub_max_distr_r' 'mat/times_exp'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_succ_not_1' 'mat/not_eq_O_S'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_id' 'mat/orb_refl'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_neq_succ_0' 'mat/not_eq_O_S'
0. 'coq/Coq_ZArith_BinInt_Z_shiftl_lxor' 'mat/times_plus_l'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftl_land' 'mat/times_exp'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_succ_diag_r' 'mat/le_n_Sn'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_lt_lin'#@#variant 'mat/divides_smallest_factor_n'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_nonneg'#@#variant 'mat/lt_SO_nth_prime_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_le_compat' 'mat/le_times'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_min_distr_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_add_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_assoc' 'mat/assoc_times'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_le_lin' 'mat/le_sqrt_n_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_le_compat' 'mat/lt_plus'
0. 'coq/Coq_Init_Peano_le_0_n' 'mat/divides_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_lt_cancel' 'mat/ltS\''
0. 'coq/Coq_ZArith_Znat_inj_le' 'mat/lt_to_Zlt_pos_pos'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_sub_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_2'#@#variant 'mat/A_SSSO'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_square_nonneg'#@#variant 'mat/id_axiom'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_2'#@#variant 'mat/B_SSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_0_succ'#@#variant 'mat/lt_O_teta'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_le_compat_r' 'mat/le_plus_l'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_sqrt_spec' 'mat/Magma_OF_Monoid'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_strorder'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lcm_1_l' 'mat/Zsucc_Zplus_pos_O'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_lt_trans' 'mat/le_to_lt_to_lt'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_assoc' 'mat/andb_assoc'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sub_succ_l' 'mat/minus_Sn_m'
0. 'coq/Coq_NArith_BinNat_N_lxor_0_l' 'mat/rtimes_one_r'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_max_distr' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_square_spec' 'mat/times_SSO_n'#@#variant
0. 'coq/Coq_NArith_BinNat_N_max_0_l' 'mat/rtimes_one_r'
0. 'coq/Coq_Bool_Bool_andb_orb_distrib_l' 'mat/times_plus_l'
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_pos'#@#variant 'mat/not_nf_elim_not/1'
0. 'coq/Coq_fourier_Fourier_util_Rnot_le_le'#@#variant 'mat/lt_to_lt_O_minus'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_lt_mono' 'mat/lt_plus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_le_compat_r' 'mat/le_times_l'
0. 'coq/Coq_ZArith_Zeven_Zodd_Sn' 'mat/prime_smallest_factor_n'#@#variant
0. 'coq/Coq_ZArith_Zbool_Zeq_bool_if' 'mat/eqfb_to_Prop'
0. 'coq/Coq_QArith_QArith_base_Qlt_shift_div_r'#@#variant 'mat/le_times_to_le_div2'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_nonneg_r'#@#variant 'mat/lt_exp1'#@#variant
0. 'coq/Coq_NArith_BinNat_N_log2_up_le_mono' 'mat/ltS'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_1_r' 'mat/times_n_O'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_2'#@#variant 'mat/B_SSSO'#@#variant
0. 'coq/Coq_ZArith_Znat_inj_neq' 'mat/lt_to_Zlt_pos_pos'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_0_succ'#@#variant 'mat/lt_O_fact'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_min_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_Reals_RIneq_Ropp_mult_distr_l_reverse' 'mat/Zplus_Zpred'
0. 'coq/Coq_QArith_Qminmax_Q_min_le_compat' 'mat/le_plus'
0. 'coq/Coq_NArith_BinNat_N_lt_sub_lt_add_r' 'mat/le_minus_to_plus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lcm_1_l' 'mat/Zpred_Zplus_neg_O'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_1_l'#@#variant 'mat/Ztimes_Zone_l'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sub_add' 'mat/plus_minus_m_m'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_odd_succ' 'mat/pos_n_eq_S_n'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_min_distr' 'mat/Qinv_Qtimes\''
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_mul' 'mat/Qinv_Qtimes\''
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_sqrt_spec' 'mat/premonoid'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_strorder'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_nonneg' 'mat/lt_O_S'
0. 'coq/Coq_PArith_BinPos_Pos_add_assoc' 'mat/andb_assoc'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_land' 'mat/demorgan1'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_lt_mono' 'mat/lt_times'
0. 'coq/Coq_NArith_BinNat_Nplus_reg_l' 'mat/inj_plus_r'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftl_land' 'mat/times_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lor_assoc' 'mat/assoc_plus'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_le_incl' 'mat/lt_to_le'
0. 'coq/Coq_Reals_Ranalysis4_sinh_lt' 'mat/lt_to_lt_S_S'
0. 'coq/Coq_NArith_BinNat_N_log2_up_lt_lin'#@#variant 'mat/divides_smallest_factor_n'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_gcd_quot_factor'#@#variant 'mat/eq_div_plus'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lor_m1_r'#@#variant 'mat/Qtimes_q_OQ'
0. 'coq/Coq_ZArith_BinInt_Z_gcd_eq_0_r' 'mat/andb_true_true_r'
0. 'coq/Coq_PArith_BinPos_Pos_min_1_l' 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_gcd_greatest' 'mat/divides_minus'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tmult_opp_left_stable' 'mat/increasing_nth_prime'
0. 'coq/Coq_NArith_BinNat_N_add_max_distr_l' 'mat/distr_times_minus'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_1_r' 'mat/Qtimes_q_OQ'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_ldiff_ldiff_l' 'mat/eq_minus_minus_minus_plus'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_NArith_BinNat_N_max_le_compat' 'mat/le_plus'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_trans' 'mat/trans_lt'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_eq_decidable' 'mat/decidable_eq_nat'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_eq_trans'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_max_assoc' 'mat/andbA'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_add' 'mat/minus_plus_m_m'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_pos_le'#@#variant 'mat/divides_to_le'#@#variant
0. 'coq/Coq_Bool_Bool_orb_true_r' 'mat/Ztimes_z_OZ'
0. 'coq/Coq_NArith_BinNat_N_le_gt_cases' 'mat/not_le_to_lt'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_max_r' 'mat/le_plus_n'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_antisym' 'mat/le_to_le_to_eq'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_eq_trans'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_abs_nonneg'#@#variant 'mat/prime_nth_prime'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_transitive'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_trans' 'mat/trans_divides'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_nonneg'#@#variant 'mat/lt_O_teta'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_glb_lt' 'mat/divides_minus'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_le_compat' 'mat/divides_times'
0. 'coq/Coq_NArith_BinNat_N_log2_le_mono' 'mat/ltS'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_1_l'#@#variant 'mat/gcd_O_n'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_trans' 'mat/trans_lt'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_nonneg' 'mat/lt_O_teta'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_0_r' 'mat/divides_n_O'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tmult_opp_left_stable' 'mat/injective_S'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_compare_refl' 'mat/nat_compare_n_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_ltb_irrefl' 'mat/eqb_n_n'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_min_distr_l' 'mat/distr_times_plus'
0. 'coq/Coq_Arith_Compare_dec_leb_complete' 'mat/leb_true_to_le'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lor_assoc' 'mat/andbA'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_1'#@#variant 'mat/eq_OZ_Zopp_OZ'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mod_1_l'#@#variant 'mat/exp_n_O'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_max_distr_l' 'mat/distr_times_plus'
0. 'coq/Coq_NArith_BinNat_N_pred_0' 'mat/A_SSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_quot_le_lower_bound'#@#variant 'mat/le_times_to_le_div'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_id' 'mat/gcd_n_n'
0. 'coq/Coq_Arith_Mult_mult_lt_compat_l'#@#variant 'mat/lt_exp'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_land_0_r' 'mat/Qtimes_q_OQ'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_eqb_refl' 'mat/eqb_n_n'
0. 'coq/Coq_ZArith_BinInt_Z_opp_inj' 'mat/not_eq_S'
0. 'coq/Coq_Structures_DecidableTypeEx_N_as_DT_lt_trans' 'mat/trans_le'
0. 'coq/Coq_NArith_BinNat_N_pow_nonzero' 'mat/andb_true_true'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_eq_0_l' 'mat/andb_true_true'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_eq_sym'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_mul_add_distr_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Reals_Rminmax_R_min_glb_lt' 'mat/divides_plus'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_le_mono' 'mat/le_times'
0. 'coq/Coq_Arith_PeanoNat_Nat_lor_land_distr_l' 'mat/times_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_PArith_BinPos_Pos_sub_mask_diag' 'mat/ltb_refl'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div2_succ_double' 'mat/pred_Sn'
0. 'coq/Coq_NArith_BinNat_N_shiftl_shiftl' 'mat/exp_exp_times'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sub_add_distr' 'mat/eq_minus_minus_minus_plus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_add_r' 'mat/exp_plus_times'
0. 'coq/Coq_NArith_BinNat_N_max_assoc' 'mat/andbA'
0. 'coq/Coq_Reals_Rtrigo1_sin_PI' 'mat/B_SSSO'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_max_le_compat_r' 'mat/le_plus_l'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sub_1_r'#@#variant 'mat/plus_n_SO'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_opp_eq_mul_m1'#@#variant 'mat/plus_n_SO'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lor_eq_0_l' 'mat/andb_true_true'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_nonneg_l'#@#variant 'mat/le_exp'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_0' 'mat/A_SO'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_2'#@#variant 'mat/A_SSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lxor_0_l' 'mat/Ztimes_Zone_l'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_sub_distr_r' 'mat/times_exp'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_max_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_ZArith_BinInt_Z_log2_nonneg'#@#variant 'mat/lt_O_S'#@#variant
0. 'coq/Coq_NArith_BinNat_N_shiftl_lor' 'mat/times_minus_l'
0. 'coq/Coq_NArith_BinNat_Nmult_plus_distr_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_le_lin' 'mat/le_sqrt_n_n'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_add_distr_l' 'mat/distr_times_minus'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_ldiff_0_l' 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_1_r'#@#variant 'mat/plus_n_SO'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_0_succ' 'mat/lt_O_nth_prime_n'
0. 'coq/Coq_NArith_BinNat_N_add_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_sub_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_nonneg'#@#variant 'mat/lt_O_S'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_minus_max_distr_r' 'mat/times_exp'
0. 'coq/Coq_FSets_FSetPositive_PositiveSet_lt_trans' 'mat/trans_le'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_max_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_succ_r_prime' 'mat/exp_S'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_assoc' 'mat/andb_assoc'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_reflexive'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_lt_lin'#@#variant 'mat/divides_smallest_factor_n'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_nonneg' 'mat/lt_O_teta'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_0_succ'#@#variant 'mat/not_nf_elim_not/0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_le_compat' 'mat/lt_plus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_divide/1' 'mat/divides_gcd_m'
0. 'coq/Coq_Arith_PeanoNat_Nat_pred_le_mono' 'mat/lt_to_lt_S_S'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_0_l' 'mat/Ztimes_Zone_l'
0. 'coq/Coq_Reals_RIneq_Rge_antisym' 'mat/antisym_le'
0. 'coq/Coq_ZArith_Zbool_Zle_cases' 'mat/R'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_divide_mono_r' 'mat/le_times_l'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_nonneg' 'mat/lt_O_fact'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ltb_irrefl' 'mat/ltb_refl'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sub_0_l' 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_NArith_BinNat_N_log2_lt_cancel' 'mat/ltS\''
0. 'coq/Coq_NArith_BinNat_N_lt_le_incl' 'mat/lt_to_le'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_lt_trans' 'mat/le_to_lt_to_lt'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lxor_nilpotent' 'mat/minus_n_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lor_land_distr_r' 'mat/distr_times_plus'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_min_distr_l' 'mat/distr_times_minus'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_lt_mono' 'mat/lt_plus'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_eq_term_true' 'mat/eqb_true_to_eq'
0. 'coq/Coq_Arith_PeanoNat_Nat_lxor_0_l' 'mat/Qtimes_Qone_q'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_lt_lin'#@#variant 'mat/lt_sqrt_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_preorder'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftr_0_l' 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Topp_plus_stable' 'mat/increasing_nth_prime'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_b2n_inj' 'mat/inj_pos'
0. 'coq/Coq_NArith_BinNat_N_nle_succ_0' 'mat/not_le_Sn_O'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_add_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_transitive'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tred_factor5_stable' 'mat/injective_S'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_le_lin'#@#variant 'mat/lt_sqrt_n'#@#variant
0. 'coq/Coq_ZArith_Zdiv_Zdiv_0_l' 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_0_succ'#@#variant 'mat/lt_O_fact'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_succ_diag_r' 'mat/le_n_fact_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_eq_refl'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_lt_mono' 'mat/lt_times'
0. 'coq/Coq_PArith_BinPos_Pos_mul_lt_mono' 'mat/divides_times'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_max_distr_l' 'mat/distr_times_minus'
0. 'coq/Coq_NArith_BinNat_N_add_min_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_nlt_succ_diag_l' 'mat/not_le_Sn_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_assoc' 'mat/assoc_plus'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_max_distr_l' 'mat/distr_times_minus'
0. 'coq/Coq_NArith_BinNat_N_gcd_divide_r' 'mat/divides_gcd_nm/0'
0. 'coq/Coq_MMaps_MMapPositive_PositiveMap_E_bits_lt_trans' 'mat/trans_le'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_min_l' 'mat/divides_gcd_nm/1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_div_small' 'mat/lt_to_div_O'
0. 'coq/Coq_ZArith_Znat_inj_gt' 'mat/lt_to_Zlt_pos_pos'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_nonneg'#@#variant 'mat/prime_nth_prime'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_lt_cancel' 'mat/lt_S_S_to_lt'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_mul_l' 'mat/times_minus_l'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_mul_r'#@#variant 'mat/eq_div_div_div_times'#@#variant
0. 'coq/Coq_Reals_Rpower_exp_lt_inv' 'mat/ltS\''
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sub_succ' 'mat/minus_S_S'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_le_mono' 'mat/lt_to_lt_S_S'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_le_mono' 'mat/le_to_le_pred'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_le_compat_l' 'mat/le_plus_r'
0. 'coq/Coq_Arith_Even_odd_mult_inv_l' 'mat/O_lt_times_to_O_lt'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_rem_1_l'#@#variant 'mat/exp_n_O'#@#variant
0. 'coq/Coq_QArith_Qreduction_Qmult_prime_comp' 'mat/divides_times'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_add_pos_r'#@#variant 'mat/O_lt_const_to_le_times_const'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_ggcd_correct_divisors' 'mat/R'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_nonneg'#@#variant 'mat/lt_O_nth_prime_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lcm_assoc' 'mat/assoc_plus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_0' 'mat/eq_OZ_Zopp_OZ'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_decidable' 'mat/decidable_lt'
0. 'coq/Coq_NArith_Ndigits_Ndiv2_double' 'mat/S_pred'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lor_land_distr_r' 'mat/distr_times_minus'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_lt_strorder'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_NArith_BinNat_N_log2_le_lin'#@#variant 'mat/lt_sqrt_n'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_succ_inj' 'mat/inj_S'
0. 'coq/Coq_Init_Peano_le_n_S' 'mat/lt_to_lt_S_S'
0. 'coq/Coq_ZArith_BinInt_Z_land_assoc' 'mat/andb_assoc'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_add_le_sub_r' 'mat/le_plus_to_minus_r'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_0_l' 'mat/gcd_O_n'
0. 'coq/Coq_QArith_Qcanon_Qcopp_involutive' 'mat/rinv_rinv'
0. 'coq/Coq_NArith_BinNat_N_le_trans' 'mat/trans_divides'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_max_r' 'mat/le_plus_n'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_assoc' 'mat/andbA'
0. 'coq/Coq_NArith_BinNat_N_log2_pos'#@#variant 'mat/le_SSO_fact'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_assoc' 'mat/andbA'
0. 'coq/Coq_ZArith_Znat_inj_ge' 'mat/lt_to_Zlt_pos_pos'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_le_mono' 'mat/le_S_S'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_land_lor_distr_l' 'mat/times_exp'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_assoc' 'mat/andb_assoc'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_le_succ_r' 'mat/ltW'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftl_0_l' 'mat/mod_O_n'
0. 'coq/Coq_Reals_RIneq_Ropp_0_le_ge_contravar'#@#variant 'mat/lt_SO_n_to_lt_O_pred_n'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_max_distr_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_carry_reg_r' 'mat/inj_plus_l'
0. 'coq/Coq_ZArith_BinInt_Z_ldiff_ldiff_l' 'mat/exp_exp_times'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_le_mono_nonneg_l'#@#variant 'mat/le_exp'#@#variant
0. 'coq/Coq_Bool_Bool_andb_orb_distrib_l' 'mat/times_minus_l'
0. 'coq/Coq_PArith_BinPos_Pos_lt_strorder'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_refl' 'mat/divides_n_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_le_mono' 'mat/le_pred'
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_mul_mono_r' 'mat/times_exp'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_reflexive'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_Reals_RIneq_Rdiv_plus_distr' 'mat/times_minus_l'
0. 'coq/Coq_PArith_BinPos_Pos_mul_add_distr_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_le_compat_l' 'mat/lt_plus_r'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_lor' 'mat/demorgan1'
0. 'coq/Coq_Reals_Rtrigo1_cos_2PI'#@#variant 'mat/B_SSSSO'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_nonneg'#@#variant 'mat/not_nf_elim_not/1'
0. 'coq/Coq_Reals_RList_RList_P21' 'mat/congr_S'
0. 'coq/Coq_MMaps_MMapPositive_PositiveMap_E_bits_lt_trans' 'mat/trans_lt'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_divide_r' 'mat/divides_gcd_m'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_trans' 'mat/trans_le'
0. 'coq/Coq_MMaps_MMapPositive_PositiveMap_lt_rev_append' 'mat/le_times_r'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_1_r' 'mat/Ztimes_z_OZ'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_0_r' 'mat/Ztimes_z_OZ'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_0_r' 'mat/divides_n_O'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lcm_assoc' 'mat/andbA'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_nonneg'#@#variant 'mat/lt_O_fact'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_eq_sym'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Ropp_Rmax' 'mat/demorgan2'
0. 'coq/Coq_PArith_BinPos_Pos_mul_lt_mono' 'mat/lt_times'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_eq_sym'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rle_max_compat_r' 'mat/le_times_l'
0. 'coq/Coq_Arith_PeanoNat_Nat_min_l' 'mat/le_to_mod'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_le_compat' 'mat/le_times'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_nonneg'#@#variant 'mat/lt_O_fact'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_l' 'mat/le_to_mod'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_eq_refl'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lxor_assoc' 'mat/andb_assoc'
0. 'coq/Coq_Reals_RIneq_Rle_0_sqr' 'mat/lt_O_fact'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_even_aux' 'mat/premonoid'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_1'#@#variant 'mat/B_SSSSO'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_Measure_instance_0' 'mat/injective_defactorize'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_divide_mono_r' 'mat/lt_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_mul_l' 'mat/times_exp'
0. 'coq/Coq_MMaps_MMapPositive_PositiveMap_E_bits_lt_antirefl' 'mat/Not_lt_n_n'
0. 'coq/Coq_NArith_BinNat_N_pred_le_mono' 'mat/ltS'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_eqb_refl' 'mat/leb_refl'
0. 'coq/Coq_ZArith_Zpower_Zdiv_rest_ok' 'mat/frac'
0. 'coq/Coq_NArith_BinNat_N_land_assoc' 'mat/assoc_plus'
0. 'coq/Coq_Arith_PeanoNat_Nat_min_glb_lt' 'mat/divides_minus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lor_land_distr_l' 'mat/times_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_m1'#@#variant 'mat/B_SSSO'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_pow_le_mono_r'#@#variant 'mat/le_log'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_involutive' 'mat/Qinv_Qinv'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_mul_l' 'mat/times_exp'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_min_distr_l' 'mat/distr_times_minus'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_assoc' 'mat/andbA'
0. 'coq/Coq_Init_Peano_eq_add_S' 'mat/not_eq_S'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_assoc' 'mat/andbA'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_succ_l' 'mat/lt_S_to_lt'
0. 'coq/Coq_Arith_Min_min_0_r' 'mat/Qtimes_q_OQ'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_eq_0_r' 'mat/times_O_to_O'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_trans' 'mat/trans_divides'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_0' 'mat/eq_OZ_Zopp_OZ'
0. 'coq/Coq_QArith_QOrderedType_Q_as_OT_eq_equiv'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_l' 'mat/lt_to_eq_mod'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_0' 'mat/A_SSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_min_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_le_mono' 'mat/divides_times'
0. 'coq/Coq_PArith_BinPos_Pos_mul_assoc' 'mat/andbA'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_nonneg_r' 'mat/lt_exp1'
0. 'coq/Coq_PArith_BinPos_Pos_add_assoc' 'mat/andbA'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_2'#@#variant 'mat/B_SSSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_le_compat_r' 'mat/le_plus_l'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_pred_succ' 'mat/pred_Sn'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_succ_diag_r' 'mat/lt_n_nth_prime_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pred_succ' 'mat/pred_Sn'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sub_max_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_Reals_R_sqrt_sqrt_pos' 'mat/lt_O_S'
0. 'coq/Coq_Bool_Bool_andb_false_l' 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_fourier_Fourier_util_Rlt_zero_pos_plus1'#@#variant 'mat/lt_O_smallest_factor'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rle_min_compat_l' 'mat/le_plus_r'
0. 'coq/Coq_Reals_Rtrigo_def_sinh_0' 'mat/eq_OZ_Zopp_OZ'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_land_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lor_m1_l'#@#variant 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_Bool_Bool_orb_andb_distrib_l' 'mat/times_plus_l'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_lt_lin'#@#variant 'mat/divides_smallest_factor_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_strorder'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_le_mono' 'mat/ltS'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftr_ldiff' 'mat/times_exp'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_0_r'#@#variant 'mat/mod_SO'#@#variant
0. 'coq/Coq_NArith_BinNat_N_le_sqrt_up_succ_sqrt' 'mat/le_teta'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_le_lin'#@#variant 'mat/divides_smallest_factor_n'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_sqrt_spec' 'mat/PreMonoid_OF_Group'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_sub_l' 'mat/le_minus_m'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_min_distr' 'mat/Zopp_Zplus'
0. 'coq/Coq_Reals_RIneq_Rminus_lt' 'mat/minus_le_O_to_le'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_min_l' 'mat/le_minus_m'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_nonneg'#@#variant 'mat/lt_O_S'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_pos_sub_discr' 'mat/ltb_to_Prop'
0. 'coq/Coq_NArith_BinNat_N_lt_add_pos_r'#@#variant 'mat/O_lt_const_to_le_times_const'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_trans' 'mat/trans_le'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_eq_trans'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_id' 'mat/gcd_n_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lor_land_distr_r' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_ZArith_Znat_Zabs2Nat_abs_nat_spec' 'mat/pos_n_eq_S_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_nonneg'#@#variant 'mat/not_nf_elim_not/0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_sub_distr_l' 'mat/distr_times_minus'
0. 'coq/Coq_QArith_Qcanon_Qcmult_lt_0_le_reg_r'#@#variant 'mat/le_exp_to_le1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_nonneg_r' 'mat/lt_exp1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_le_mono_r'#@#variant 'mat/lt_times_r1'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mod_1_r'#@#variant 'mat/mod_SO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_min_l' 'mat/divides_gcd_n'
0. 'coq/Coq_NArith_BinNat_N_lxor_assoc' 'mat/assoc_plus'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_size_nat_monotone' 'mat/lt_to_Zlt_pos_pos'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_T_OMEGA12_stable' 'mat/monotonic_A'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div_lt'#@#variant 'mat/lt_div'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_le_mono' 'mat/lt_to_lt_S_S'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_involutive' 'mat/opposite_direction_idempotent'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_div2_double'#@#variant 'mat/Zpred_Zsucc'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_0_l' 'mat/mod_O_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_transitive'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_NArith_Ndec_Nleb_refl' 'mat/ltb_refl'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_pos_r' 'mat/lt_O_gcd'
0. 'coq/Coq_NArith_BinNat_N_divide_transitive'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_assoc' 'mat/andbA'
0. 'coq/Coq_ZArith_BinInt_Z_le_pred_l' 'mat/le_prim_n'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_max_distr' 'mat/Qinv_Qtimes\''
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mod_le'#@#variant 'mat/lt_div'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_gcd_greatest' 'mat/divides_plus'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_id' 'mat/gcd_n_n'
0. 'coq/Coq_NArith_BinNat_N_lt_wf_0' 'mat/antisymmetric_divides'
0. 'coq/Coq_Bool_Bool_andb_true_l' 'mat/Qtimes_Qone_q'
0. 'coq/Coq_Reals_RIneq_Rlt_le' 'mat/lt_to_le'
0. 'coq/Coq_omega_OmegaLemmas_Zred_factor1'#@#variant 'mat/exp_SSO'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_shiftr_lxor' 'mat/times_minus_l'
0. 'coq/Coq_NArith_BinNat_N_max_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_0_succ'#@#variant 'mat/lt_O_fact'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_lt_lin'#@#variant 'mat/lt_sqrt_n'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_quot_le_lower_bound' 'mat/le_times_to_le_div'
0. 'coq/Coq_Reals_RIneq_Rminus_le' 'mat/minus_le_O_to_le'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_nonneg'#@#variant 'mat/prime_nth_prime'
0. 'coq/Coq_ZArith_BinInt_Z_gcd_1_r'#@#variant 'mat/times_n_O'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_reg_l' 'mat/inj_plus_r'
0. 'coq/Coq_Reals_DiscrR_IZR_neq' 'mat/inj_pos'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_sub_lt' 'mat/lt_to_div_O'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_nonneg'#@#variant 'mat/not_nf_elim_not/0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_lcm_l' 'mat/le_plus_n_r'
0. 'coq/Coq_ZArith_BinInt_Z_mul_add_distr_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_ZArith_BinInt_Z_shiftl_land' 'mat/times_exp'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_strorder'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_succ_max_distr' 'mat/Zopp_Zplus'
0. 'coq/Coq_Reals_Rpower_arcsinh_lt' 'mat/lt_to_lt_S_S'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_ggcd_greatest' 'mat/ltb_to_Prop'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lxor_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_Bool_Bool_eqb_refl' 'mat/id_axiom'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_eq_equiv'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_eqb_refl' 'mat/eqb_n_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_pow' 'mat/Zplus_Zpred'
0. 'coq/Coq_ZArith_BinInt_Z_le_pred_l' 'mat/le_pred_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_le_lin'#@#variant 'mat/divides_smallest_factor_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_nonzero' 'mat/andb_true_true'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_assoc' 'mat/andbA'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_0_succ'#@#variant 'mat/lt_O_nth_prime_n'#@#variant
0. 'coq/Coq_Structures_OrderedTypeEx_N_as_OT_lt_trans' 'mat/trans_divides'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_le_lin'#@#variant 'mat/lt_sqrt_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_add_le_sub_r' 'mat/le_minus_to_plus'
0. 'coq/Coq_NArith_BinNat_N_divide_reflexive'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_min_distr_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_sub_distr_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_pos'#@#variant 'mat/le_SSO_fact'#@#variant
0. 'coq/Coq_NArith_BinNat_N_log2_up_le_mono' 'mat/le_pred'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_ldiff_ldiff_l' 'mat/exp_exp_times'
0. 'coq/Coq_Arith_Mult_mult_le_compat_r' 'mat/le_plus_l'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_succ_diag_r' 'mat/lt_n_nth_prime_n'
0. 'coq/Coq_PArith_BinPos_Pos_eq_sym'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_le_mono' 'mat/le_to_le_pred'
0. 'coq/Coq_Reals_Exp_prop_div2_not_R0'#@#variant 'mat/prime_smallest_factor_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_nonneg' 'mat/lt_O_nth_prime_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_sub_lt_add_r' 'mat/le_plus_to_minus_r'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tplus_assoc_l_stable' 'mat/injective_nth_prime'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_add_distr' 'mat/Zopp_Zplus'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_pred_l' 'mat/le_sqrt_n_n'
0. 'coq/Coq_ZArith_BinInt_Z_lt_lt_succ_r' 'mat/ltW'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_reg_r' 'mat/inj_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_max_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_sub_le' 'mat/lt_to_div_O'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_nonneg'#@#variant 'mat/not_nf_elim_not/1'
0. 'coq/Coq_PArith_BinPos_Pos_lt_succ_diag_r' 'mat/le_n_fact_n'
0. 'coq/Coq_ZArith_Zorder_Znot_le_succ' 'mat/not_le_Sn_n'
0. 'coq/Coq_Strings_Ascii_ascii_N_embedding' 'mat/numeratorQ_nat_fact_all_to_Q'
0. 'coq/Coq_QArith_QArith_base_Qinv_lt_0_compat'#@#variant 'mat/lt_SO_smallest_factor'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_le_compat_r' 'mat/le_times_l'
0. 'coq/Coq_Reals_Rpower_arcsinh_le' 'mat/lt_to_lt_S_S'
0. 'coq/Coq_PArith_BinPos_Pos_add_max_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lxor_0_l' 'mat/rtimes_one_r'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_ltb_irrefl' 'mat/leb_refl'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_mul_mono_r' 'mat/times_exp'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_0_l' 'mat/gcd_O_n'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_assoc' 'mat/assoc_times'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_trans' 'mat/trans_lt'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_nonneg' 'mat/lt_O_S'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_min_distr_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Reals_Rpower_sinh_arcsinh' 'mat/pred_Sn'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_neq_0_succ' 'mat/not_eq_O_S'
0. 'coq/Coq_fourier_Fourier_util_Rfourier_lt'#@#variant 'mat/le_log'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_opp_inj' 'mat/inj_S'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_min_distr' 'mat/Zopp_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lxor_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_Arith_PeanoNat_Nat_pred_le_mono' 'mat/le_S_S'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_strorder'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_Reals_RIneq_Rnot_le_lt' 'mat/not_lt_to_le'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pred_0' 'mat/A_SO'#@#variant
0. 'coq/Coq_Reals_Rpower_exp_inv' 'mat/inj_S'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftr_0_l' 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sub_min_distr_l' 'mat/exp_plus_times'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_succ' 'mat/Zsucc_Zpred'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_transitive'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_Bool_Bool_xorb_nilpotent' 'mat/bc_n_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pred_le_mono' 'mat/le_pred'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sub_min_distr_l' 'mat/exp_plus_times'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_two_succ'#@#variant 'mat/B_SSSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_eq_equiv'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_Arith_Le_le_n_S' 'mat/ltS'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_ggcd_correct_divisors' 'mat/nat_compare_to_Prop'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_nonneg' 'mat/lt_O_nth_prime_n'
0. 'coq/Coq_PArith_Pnat_SuccNat2Pos_inj' 'mat/inj_pos'
0. 'coq/Coq_Arith_Lt_lt_pred_n_n'#@#variant 'mat/divides_smallest_factor_n'#@#variant
0. 'coq/Coq_Structures_OrderedTypeEx_PositiveOrderedTypeBits_bits_lt_trans' 'mat/trans_le'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_0' 'mat/A_SSO'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_transitive'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_lnot_diag'#@#variant 'mat/Zplus_Zopp'
0. 'coq/Coq_PArith_BinPos_Pos_le_max_l' 'mat/le_plus_n_r'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_reg_l' 'mat/inj_plus_r'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_assoc' 'mat/andbA'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_sqrt_spec' 'mat/pregroup'
0. 'coq/Coq_QArith_Qminmax_Q_OT_eq_equiv'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lxor_nilpotent' 'mat/minus_n_n'
0. 'coq/Coq_ZArith_BinInt_Z_min_le_compat_l' 'mat/lt_plus_r'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ldiff_m1_r'#@#variant 'mat/bc_n_O'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lxor_nilpotent' 'mat/bc_n_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_pow2'#@#variant 'mat/S_pred'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_0' 'mat/A_SSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_antisym' 'mat/le_to_le_to_eq'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sub_add_distr' 'mat/exp_exp_times'
0. 'coq/Coq_ZArith_BinInt_Z_log2_nonneg' 'mat/lt_O_teta'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_eq_equiv'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_0_succ'#@#variant 'mat/prime_nth_prime'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_sub_decr' 'mat/divides_div'
0. 'coq/Coq_PArith_BinPos_Pos_add_diag' 'mat/times_SSO_n'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lcm_diag' 'mat/orb_refl'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_eqb_refl' 'mat/ltb_refl'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_min_r' 'mat/divides_gcd_m'
0. 'coq/Coq_ZArith_BinInt_Z_lor_m1_l'#@#variant 'mat/mod_O_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_divide_r' 'mat/divides_gcd_nm/0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_le_compat_l' 'mat/le_plus_r'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_max_distr_r' 'mat/times_exp'
0. 'coq/Coq_ZArith_Zquot_Zquot_le_lower_bound'#@#variant 'mat/divides_times_to_divides_div'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_nle_succ_diag_l' 'mat/not_le_Sn_n'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_1_l' 'mat/rtimes_one_r'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftr_land' 'mat/times_exp'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_compare_refl' 'mat/ltb_refl'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_1_l' 'mat/gcd_O_n'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_id' 'mat/defactorize_factorize'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_eq_refl'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_mul_mono_r' 'mat/times_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_m1'#@#variant 'mat/B_SSSSO'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_square_nonneg'#@#variant 'mat/id_axiom'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_inv_norm' 'mat/lt_O_smallest_factor'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_min_distr' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_1_l'#@#variant 'mat/Ztimes_Zone_l'
0. 'coq/Coq_NArith_BinNat_N_sqrtrem_spec' 'mat/premonoid0'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_0_r' 'mat/Ztimes_z_OZ'
0. 'coq/Coq_Reals_Rminmax_R_plus_min_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_add_distr_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_le_compat' 'mat/lt_plus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_sqrt_up_succ_sqrt' 'mat/le_teta'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_assoc' 'mat/andb_assoc'
0. 'coq/Coq_PArith_BinPos_Pos_compare_xI_xI' 'mat/nat_compare_S_S'
0. 'coq/Coq_NArith_BinNat_N_add_le_mono' 'mat/divides_times'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_le_compat' 'mat/le_times'
0. 'coq/Coq_Arith_PeanoNat_Nat_land_lor_distr_r' 'mat/distr_times_minus'
0. 'coq/Coq_ZArith_Zorder_Zmult_lt_0_le_reg_r'#@#variant 'mat/lt_exp_to_lt1'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_1_l' 'mat/Zsucc_Zplus_pos_O'
0. 'coq/Coq_NArith_BinNat_N_log2_lor' 'mat/demorgan2'
0. 'coq/Coq_ZArith_BinInt_Z_add_0_l' 'mat/Ztimes_Zone_l'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_min_distr_l' 'mat/distr_times_plus'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lxor_0_l' 'mat/Qtimes_Qone_q'
0. 'coq/Coq_ZArith_BinInt_Z_neq_pred_l' 'mat/not_eq_n_Sn'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_0_l' 'mat/rtimes_one_r'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_lt_lin'#@#variant 'mat/lt_sqrt_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_0_l' 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_strorder'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_reflexive'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_le_mono' 'mat/le_S_S'
0. 'coq/Coq_NArith_BinNat_N_log2_up_nonneg'#@#variant 'mat/lt_O_nth_prime_n'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_1_l' 'mat/rtimes_one_r'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_assoc' 'mat/assoc_plus'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lxor_eq' 'mat/minus_le_O_to_le'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_0_succ'#@#variant 'mat/lt_O_teta'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pred_succ' 'mat/Zsucc_Zpred'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_1'#@#variant 'mat/eq_OZ_Zopp_OZ'
0. 'coq/Coq_NArith_BinNat_N_min_le_compat' 'mat/divides_times'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tred_factor2_stable' 'mat/monotonic_sqrt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_sqrt_spec' 'mat/denom'
0. 'coq/Coq_ZArith_Zdiv_Zdiv_0_l' 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_max_le_compat_r' 'mat/le_plus_l'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftl_ldiff' 'mat/times_minus_l'
0. 'coq/Coq_Arith_Compare_dec_nat_compare_Gt_gt' 'mat/leb_true_to_le'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_0' 'mat/A_SO'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_transitive'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_min_l' 'mat/le_minus_m'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_nonzero' 'mat/andb_true_true'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_assoc' 'mat/andbA'
0. 'coq/Coq_Init_Datatypes_andb_prop' 'mat/gcd_O_to_eq_O'
0. 'coq/Coq_PArith_BinPos_Pos_mul_min_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_min_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftr_land' 'mat/times_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_0' 'mat/A_SO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_eq_1_r' 'mat/eq_plus_n_m_O_to_eq_m_O'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_max_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_transitive'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_pred_l' 'mat/Zplus_Zpred'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_sub_distr_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Reals_Exp_prop_exp_pos_pos' 'mat/lt_O_smallest_factor'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_succ_diag_r' 'mat/le_n_Sn'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_add_pos_l'#@#variant 'mat/lt_m_exp_nm'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_leb_refl' 'mat/leb_refl'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_le_compat' 'mat/divides_times'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_1_l' 'mat/gcd_SO_n'
0. 'coq/Coq_PArith_BinPos_Pos_max_assoc' 'mat/andbA'
0. 'coq/Coq_Reals_RIneq_Rsqr_0' 'mat/A_SSO'#@#variant
0. 'coq/Coq_Classes_CRelationClasses_RewriteRelation_instance_1' 'mat/transitive_iff'
0. 'coq/Coq_Classes_CRelationClasses_RewriteRelation_instance_0' 'mat/transitive_iff'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftr_0_l' 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_le_mono' 'mat/lt_to_lt_S_S'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_le_compat_r' 'mat/le_plus_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_lt_cancel' 'mat/lt_S_S_to_lt'
0. 'coq/Coq_ZArith_BinInt_Z_mul_assoc' 'mat/andb_assoc'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_trans' 'mat/trans_divides'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_T_OMEGA15_stable' 'mat/monotonic_sqrt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_le_compat' 'mat/lt_times'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_nlt_succ_diag_l' 'mat/not_le_Sn_n'
0. 'coq/Coq_Arith_Div2_div2_double'#@#variant 'mat/Zpred_Zsucc'
0. 'coq/Coq_ZArith_BinInt_Z_le_antisymm' 'mat/le_to_le_to_eq'
0. 'coq/Coq_Bool_Bool_orb_true_l' 'mat/mod_O_n'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_assoc' 'mat/andb_assoc'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_compare_eq' 'mat/eqb_true_to_eq'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_sub_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_ZArith_BinInt_Z_divide_1_l'#@#variant 'mat/le_O_n'
0. 'coq/Coq_Reals_RIneq_lt_IZR' 'mat/Zlt_pos_pos_to_lt'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_succ_r' 'mat/plus_n_Sm'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_assoc' 'mat/andbA'
0. 'coq/Coq_Arith_PeanoNat_Nat_max_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_lt_mono_r' 'mat/lt_exp'
0. 'coq/Coq_Reals_RIneq_Rminus_gt' 'mat/minus_le_O_to_le'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_succ_diag_r' 'mat/le_n_Sn'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lcm_0_r' 'mat/Qtimes_q_OQ'
0. 'coq/Coq_Arith_Gt_plus_gt_compat_l' 'mat/lt_plus_r'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_nonneg' 'mat/le_SO_fact'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_min_distr_r' 'mat/times_exp'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_NArith_BinNat_N_leb_refl' 'mat/nat_compare_n_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_strorder'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_2'#@#variant 'mat/A_SSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_sub_lt_add_r' 'mat/le_minus_to_plus'
0. 'coq/Coq_Bool_Bool_andb_false_r' 'mat/Ztimes_z_OZ'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_eq_trans'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftl_lor' 'mat/times_plus_l'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_sqrt_spec' 'mat/fsort'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_succ_diag_r' 'mat/le_n_Sn'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_0' 'mat/eq_OZ_Zopp_OZ'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_size_le'#@#variant 'mat/le_exp_SSO_fact'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qcmult_1_l'#@#variant 'mat/Qtimes_Qone_q'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_eq_trans'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_mul_lt_mono' 'mat/le_times'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_le_mono' 'mat/le_S_S'
0. 'coq/Coq_NArith_BinNat_N_ltb_irrefl' 'mat/eqb_n_n'
0. 'coq/Coq_ZArith_BinInt_Z_lor_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_pow_succ_r' 'mat/times_n_Sm'
0. 'coq/Coq_QArith_QArith_base_Qplus_le_compat' 'mat/lt_times'
0. 'coq/Coq_NArith_BinNat_N_sub_min_distr_l' 'mat/exp_plus_times'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_decidable' 'mat/decidable_lt'
0. 'coq/Coq_NArith_BinNat_N_add_min_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_max_distr_l' 'mat/distr_times_minus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_pred_l' 'mat/le_smallest_factor_n'
0. 'coq/Coq_Bool_Bool_orb_negb_r' 'mat/Zplus_Zopp'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_antisymm' 'mat/antisym_le'
0. 'coq/Coq_NArith_BinNat_N_sqrtrem_spec' 'mat/AA'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_1_l' 'mat/Ztimes_Zone_l'
0. 'coq/Coq_NArith_BinNat_N_divide_transitive'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lor_land_distr_r' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_le_lin' 'mat/le_prim_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_le_compat_r' 'mat/le_times_l'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_eq_mul_0_r' 'mat/eq_Qtimes_OQ_to_eq_OQ'
0. 'coq/Coq_Reals_RIneq_Rminus_ge' 'mat/minus_le_O_to_le'
0. 'coq/Coq_NArith_BinNat_N_min_le_compat' 'mat/lt_times'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_min_distr_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Reals_Rpower_exp_lt_inv' 'mat/le_S_S_to_le'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_sub_eq_l' 'mat/plus_to_minus'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_le_compat' 'mat/divides_times'
0. 'coq/Coq_QArith_Qcanon_Qcplus_opp_r'#@#variant 'mat/Zplus_Zopp'
0. 'coq/Coq_Reals_Rbasic_fun_Rmin_r' 'mat/divides_gcd_nm/0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrtrem_spec' 'mat/PreMonoid_OF_Group'
0. 'coq/Coq_Arith_Plus_plus_le_compat_l' 'mat/le_plus_r'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_transitive'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mod_1_l'#@#variant 'mat/exp_n_O'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div2_succ_double' 'mat/Zsucc_Zpred'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_square_spec' 'mat/times_SSO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_trans' 'mat/trans_divides'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_1_r'#@#variant 'mat/le_n_O_to_eq'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_sub_lt_add_l' 'mat/lt_minus_to_lt_plus'
0. 'coq/Coq_Reals_RIneq_Rplus_gt_compat' 'mat/le_plus'
0. 'coq/Coq_NArith_BinNat_N_lt_0_succ' 'mat/lt_O_S'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_involutive' 'mat/notb_notb'
0. 'coq/Coq_Arith_Mult_mult_le_compat' 'mat/lt_times'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_eq_trans'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lor_land_distr_l' 'mat/times_minus_l'
0. 'coq/Coq_ZArith_Zorder_Zsucc_gt_reg' 'mat/lt_S_S_to_lt'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_min_distr' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_pos_r'#@#variant 'mat/lt_O_gcd'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_lt_cancel' 'mat/lt_S_S_to_lt'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_0_r' 'mat/times_n_O'
0. 'coq/Coq_ZArith_Zorder_Zle_lt_or_eq' 'mat/not_eq_to_le_to_lt'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_min_distr' 'mat/demorgan1'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrtrem_spec' 'mat/premonoid'
0. 'coq/Coq_ZArith_BinInt_Z_lt_le_trans' 'mat/lt_to_le_to_lt'
0. 'coq/Coq_NArith_BinNat_N_land_lor_distr_r' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_QArith_Qabs_Qabs_wd' 'mat/le_S_S'
0. 'coq/Coq_Arith_Mult_mult_assoc_reverse' 'mat/assoc_plus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_eq_equiv'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_sqrt_sqrt_up' 'mat/le_times_SSO_n_exp_SSO_n'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_le_compat_r' 'mat/le_times_l'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_1'#@#variant 'mat/B_SSSSO'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_eq_trans'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_assoc' 'mat/assoc_times'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_trans' 'mat/trans_lt'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_compare_eq' 'mat/eqb_true_to_eq'
0. 'coq/Coq_Init_Peano_le_n_S' 'mat/le_to_le_pred'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_reg_l' 'mat/inj_plus_r'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_min_distr_l' 'mat/distr_times_plus'
0. 'coq/Coq_NArith_BinNat_N_le_succ_diag_r' 'mat/le_n_Sn'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_spec_is_even' 'mat/pregroup'
0. 'coq/Coq_NArith_BinNat_N_eq_sym'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_sub_diag' 'mat/minus_n_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_pred_l' 'mat/le_prim_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_le_mono' 'mat/ltS'
0. 'coq/__constr_Coq_Init_Peano_le_0_1' 'mat/divides_n_n'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_0' 'mat/eq_OZ_Zopp_OZ'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_nonneg' 'mat/lt_O_nth_prime_n'
0. 'coq/Coq_ZArith_BinInt_Z_lnot_0'#@#variant 'mat/A_SSSO'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_opp_max_distr' 'mat/demorgan1'
0. 'coq/Coq_Reals_RIneq_Ropp_involutive' 'mat/eq_notb_notb_b_b'
0. 'coq/Coq_Reals_Rpower_sinh_arcsinh' 'mat/Zsucc_Zpred'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_eq_refl'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_eq_0_r' 'mat/eq_Qtimes_OQ_to_eq_OQ'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_id' 'mat/orb_refl'
0. 'coq/Coq_Reals_RIneq_Rmult_plus_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_assoc' 'mat/andb_assoc'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_land_lnot_diag' 'mat/Zplus_Zopp'
0. 'coq/Coq_Bool_Bool_negb_involutive' 'mat/rinv_rinv'
0. 'coq/Coq_NArith_Ndist_ni_min_assoc' 'mat/andb_assoc'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_succ_l' 'mat/lt_S_to_lt'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Topp_plus_stable' 'mat/injective_nth_prime'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_le_preorder'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_succ_r' 'mat/exp_S'
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_lt_cancel' 'mat/lt_S_S_to_lt'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_compare_refl' 'mat/leb_refl'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_id' 'mat/orb_refl'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_le_lin'#@#variant 'mat/divides_smallest_factor_n'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_nonneg'#@#variant 'mat/lt_O_S'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_max_le_compat_l' 'mat/lt_plus_r'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_le_mono_nonneg_r' 'mat/lt_times_l1'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_gcd_divide_l' 'mat/divides_gcd_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_pos_r' 'mat/lt_O_gcd'
0. 'coq/Coq_Reals_Rminmax_R_min_assoc' 'mat/assoc_times'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lcm_0_r' 'mat/Ztimes_z_OZ'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_add_distr_l' 'mat/distr_times_plus'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lor_land_distr_l' 'mat/times_exp'
0. 'coq/Coq_NArith_BinNat_N_mul_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_QArith_Qround_Qfloor_Z' 'mat/numeratorQ_nat_fact_all_to_Q'
0. 'coq/Coq_NArith_BinNat_N_shiftr_land' 'mat/times_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lxor_0_l' 'mat/gcd_O_n'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_le_compat_l' 'mat/le_plus_r'
0. 'coq/Coq_Arith_EqNat_eq_nat_refl' 'mat/divides_n_n'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_m1'#@#variant 'mat/B_SSSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_le_compat' 'mat/divides_times'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_leb_refl' 'mat/eqb_n_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_0_l' 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sqrt_lt_lin'#@#variant 'mat/divides_smallest_factor_n'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_le_trans' 'mat/trans_divides'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_1_succ' 'mat/lt_O_nth_prime_n'
0. 'coq/Coq_Reals_RIneq_Rmult_0_l' 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_0_l' 'mat/Ztimes_Zone_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_le_lin' 'mat/le_prim_n'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_compare_eq' 'mat/eqb_true_to_eq'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_nle_succ_diag_l' 'mat/not_le_Sn_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_lt_cancel' 'mat/ltS\''
0. 'coq/Coq_Reals_Exp_prop_exp_pos'#@#variant 'mat/lt_O_fact'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_rem_opp_l_prime' 'mat/Zplus_Zpred'
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_assoc' 'mat/assoc_times'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_1_l'#@#variant 'mat/Qtimes_Qone_q'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lor_land_distr_r' 'mat/distr_times_plus'
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_1_l' 'mat/divides_SO_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_nonneg' 'mat/le_SO_fact'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_sqrt_spec' 'mat/fsort'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_0_r' 'mat/bc_n_O'
0. 'coq/Coq_ZArith_Znat_Zabs2N_id' 'mat/factorize_defactorize'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lor_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_transitive'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_Init_Peano_nat_double_ind' 'mat/nat_elim2'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_succ_diag_r' 'mat/lt_n_nth_prime_n'
0. 'coq/Coq_PArith_BinPos_Pos_le_preorder'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_2'#@#variant 'mat/B_SSSSO'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sub_succ_r' 'mat/eq_minus_S_pred'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_1_l'#@#variant 'mat/gcd_O_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_decidable' 'mat/decidable_lt'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_two_succ'#@#variant 'mat/A_SSSO'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_eq_refl'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_le_succ_diag_r' 'mat/le_n_Sn'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_preorder'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_0_r' 'mat/times_n_O'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_succ_l' 'mat/Zplus_Zpred'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_le_compat_r' 'mat/lt_plus_l'
0. 'coq/Coq_Reals_Rtrigo_reg_continuity_sin' 'mat/injective_S'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_divide_r' 'mat/divides_gcd_nm/0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_le_compat_r' 'mat/le_plus_l'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_leb_refl' 'mat/nat_compare_n_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_max_distr' 'mat/Zopp_Zplus'
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_eq_0_l' 'mat/andb_true_true'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_nonneg'#@#variant 'mat/lt_O_teta'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_land_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_Arith_Plus_plus_le_compat_r' 'mat/lt_plus_l'
0. 'coq/Coq_Reals_Rpower_exp_increasing' 'mat/le_S_S'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_le_lin' 'mat/le_prim_n'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_add_distr_l' 'mat/distr_times_plus'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_1_succ' 'mat/lt_O_teta'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_divide_mono_l' 'mat/le_times_r'
0. 'coq/Coq_NArith_BinNat_N_log2_up_le_lin'#@#variant 'mat/divides_smallest_factor_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_2'#@#variant 'mat/eq_OZ_Zopp_OZ'
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_1_l' 'mat/gcd_SO_n'
0. 'coq/Coq_Arith_Compare_dec_nat_compare_eq' 'mat/eqb_true_to_eq'
0. 'coq/Coq_ZArith_BinInt_Z_min_assoc' 'mat/assoc_plus'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lor_land_distr_l' 'mat/times_plus_l'
0. 'coq/Coq_ZArith_BinInt_Z_mul_assoc' 'mat/andbA'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_1'#@#variant 'mat/B_SSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_le_compat_l' 'mat/le_times_r'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_le_compat' 'mat/le_times'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_0_l' 'mat/Qtimes_Qone_q'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_div2'#@#variant 'mat/lt_sqrt_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_square_spec' 'mat/times_SSO_n'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_min_le_compat_l' 'mat/lt_plus_r'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_0_l' 'mat/gcd_O_n'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_T_OMEGA15_stable' 'mat/increasing_nth_prime'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lor_assoc' 'mat/andbA'
0. 'coq/Coq_ZArith_BinInt_Z_lcm_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_NArith_BinNat_N_log2_up_1'#@#variant 'mat/A_SSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_r' 'mat/le_plus_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_nonneg' 'mat/le_SO_fact'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_wf_0' 'mat/antisymmetric_divides'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_nonneg'#@#variant 'mat/lt_O_S'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_land_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_ZArith_BinInt_Z_mul_divide_mono_l' 'mat/le_plus_r'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_succ_diag_r' 'mat/le_n_Sn'
0. 'coq/Coq_Reals_Ratan_atan_1'#@#variant 'mat/A_SSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_involutive' 'mat/notb_notb'
0. 'coq/Coq_NArith_BinNat_N_sqrtrem_spec' 'mat/Magma_OF_PreGroup'
0. 'coq/__constr_Coq_Classes_Morphisms_normalization_done_0_1' 'mat/daemon'
0. 'coq/Coq_ZArith_BinInt_Z_max_assoc' 'mat/andb_assoc'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_sub_mask_diag' 'mat/leb_refl'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_succ_inj' 'mat/inj_S'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sub_min_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_sub_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_le_mono' 'mat/le_to_le_pred'
0. 'coq/Coq_Arith_Max_max_0_l' 'mat/Qtimes_Qone_q'
0. 'coq/Coq_NArith_BinNat_N_mul_divide_mono_r' 'mat/lt_plus_l'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pos_pred_succ' 'mat/defactorize_factorize'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_assoc' 'mat/andbA'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_0_l' 'mat/Ztimes_Zone_l'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_land_assoc' 'mat/assoc_plus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_opp_r' 'mat/plus_n_Sm'
0. 'coq/Coq_NArith_BinNat_N_lcm_0_r' 'mat/times_n_O'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_lt_mono' 'mat/le_plus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_reflexive'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_1'#@#variant 'mat/B_SSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_eq_refl'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_gcd_divide_l' 'mat/le_minus_m'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_lt_succ_r' 'mat/ltW'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_min_l' 'mat/divides_gcd_nm/1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lor_lnot_diag'#@#variant 'mat/Zplus_Zopp'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_assoc' 'mat/assoc_times'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_le_incl' 'mat/lt_to_le'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_nonneg'#@#variant 'mat/lt_O_nth_prime_n'#@#variant
0. 'coq/Coq_Arith_EqNat_beq_nat_true' 'mat/same_atom_to_eq'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_ldiff_0_l' 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_inj_r'#@#variant 'mat/inj_exp_r'#@#variant
0. 'coq/Coq_Arith_Mult_mult_assoc_reverse' 'mat/andb_assoc'
0. 'coq/Coq_NArith_BinNat_N_divide_trans' 'mat/trans_divides'
0. 'coq/Coq_Reals_Rbasic_fun_Rmin_l' 'mat/divides_gcd_n'
0. 'coq/Coq_Reals_RIneq_Rinv_1' 'mat/A_SO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_succ_le' 'mat/times_SSO_pred'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_max_distr_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_max_l' 'mat/le_plus_n_r'
0. 'coq/__constr_Coq_Arith_Even_even_1_1' 'mat/le_SSO_fact'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_eq_sym'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div_lt'#@#variant 'mat/lt_div'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_id' 'mat/gcd_n_n'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_ggcd_greatest' 'mat/eqb_to_Prop'
0. 'coq/Coq_ZArith_BinInt_Z_lt_strorder'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_div2'#@#variant 'mat/lt_sqrt_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_nonneg' 'mat/lt_O_nth_prime_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_lt_cancel' 'mat/le_S_S_to_le'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_trans' 'mat/trans_le'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_nonneg' 'mat/lt_O_S'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_neq_succ_0' 'mat/not_eq_O_S'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_irrefl' 'mat/Not_lt_n_n'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_nonneg_l'#@#variant 'mat/le_log'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_irrefl' 'mat/Not_lt_n_n'
0. 'coq/Coq_NArith_Ndist_ni_le_min_2' 'mat/divides_gcd_m'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lxor_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_le_mono_l' 'mat/lt_plus_l'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_nonneg'#@#variant 'mat/lt_O_teta'#@#variant
0. 'coq/Coq_NArith_BinNat_N_pow_inj_r'#@#variant 'mat/inj_exp_r'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_rem_1_r'#@#variant 'mat/exp_n_O0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_eq_sym'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_eq_mul_0_r' 'mat/times_O_to_O'
0. 'coq/Coq_ZArith_Zeven_Zeven_div2'#@#variant 'mat/S_pred'#@#variant
0. 'coq/Coq_Reals_ROrderedType_ROrder_le_antisym' 'mat/le_to_le_to_eq'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_min_distr' 'mat/distr_times_minus'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_le_mono' 'mat/le_pred'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_nonneg'#@#variant 'mat/lt_O_nth_prime_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_le_succ_r' 'mat/ltW'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_le_compat_r' 'mat/le_times_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_nonneg'#@#variant 'mat/not_nf_elim_not/0'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pred_0' 'mat/A_SO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_ggcd_greatest' 'mat/R'
0. 'coq/Coq_NArith_BinNat_N_mod_small' 'mat/lt_to_eq_mod'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lcm_mul_mono_l' 'mat/distr_times_plus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lor_0_l' 'mat/gcd_O_n'
0. 'coq/Coq_ZArith_BinInt_Z_lor_land_distr_r' 'mat/distr_times_minus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftr_lor' 'mat/times_minus_l'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_decidable' 'mat/decidable_le'
0. 'coq/Coq_Reals_Rtrigo_def_sin_no_R0' 'mat/not_eq_OZ_pos'
0. 'coq/Coq_NArith_BinNat_N_min_0_l' 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_le_lt_mono' 'mat/le_to_lt_to_plus_lt'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_mul' 'mat/Zopp_Zplus'
0. 'coq/Coq_Reals_Rpower_ln_increasing'#@#variant 'mat/lt_pred'#@#variant
0. 'coq/Coq_NArith_BinNat_N_b2n_inj' 'mat/inj_pos'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_eq_trans'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lnot_involutive' 'mat/Qinv_Qinv'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_1_l'#@#variant 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sub_le_mono_l' 'mat/monotonic_le_minus_r'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_trans' 'mat/trans_le'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_eqb_refl' 'mat/leb_refl'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_min_r' 'mat/divides_gcd_m'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_compare_refl' 'mat/eqb_n_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_le_lin' 'mat/le_prim_n'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_ltb_irrefl' 'mat/leb_refl'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_lt_lin'#@#variant 'mat/divides_smallest_factor_n'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_one_succ'#@#variant 'mat/B_SSSSO'#@#variant
0. 'coq/Coq_Init_Peano_le_n_S' 'mat/le_S_S'
0. 'coq/Coq_NArith_Nnat_Nat2N_inj' 'mat/inj_pos'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_le_lt_mono' 'mat/le_to_lt_to_plus_lt'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_max_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_ZArith_BinInt_Z_log2_le_mono' 'mat/ltS'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_lt_mono' 'mat/divides_times'
0. 'coq/Coq_Reals_Rminmax_R_max_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_ZArith_BinInt_Z_double_spec'#@#variant 'mat/eq_B_B1'
0. 'coq/Coq_ZArith_BinInt_Z_land_lnot_diag' 'mat/rtimes_rinv'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_pred_l' 'mat/le_pred_n'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_spec_is_even' 'mat/PreMonoid_OF_Group'
0. 'coq/Coq_NArith_Ndist_ni_min_assoc' 'mat/andbA'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_lt_mono' 'mat/le_times'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_succ_diag_r' 'mat/le_n_fact_n'
0. 'coq/Coq_Classes_RelationClasses_impl_Transitive' 'mat/reflexive_iff'
0. 'coq/Coq_PArith_BinPos_Pos_pred_succ' 'mat/Zsucc_Zpred'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_eq_0_r' 'mat/andb_true_true_r'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrtrem_spec' 'mat/denom'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lcm_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_nonneg' 'mat/le_SO_fact'#@#variant
0. 'coq/Coq_QArith_QOrderedType_QOrder_lt_trans' 'mat/trans_le'
0. 'coq/Coq_Reals_R_sqrt_Rsqr_sqrt' 'mat/S_pred'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_lt_cancel' 'mat/le_S_S_to_le'
0. 'coq/Coq_Reals_RIneq_Ropp_ge_le_contravar' 'mat/divides_fact_fact'
0. 'coq/Coq_Reals_ROrderedType_ROrder_TO_eq_equiv'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qeq_bool_eq' 'mat/divides_b_true_to_divides'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_nonneg'#@#variant 'mat/not_nf_elim_not/0'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_min_distr_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_diag' 'mat/orb_refl'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_min_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_Sets_Multiset_meq_refl' 'mat/incl_A_A'
0. 'coq/Coq_Reals_RIneq_tech_Rgt_minus'#@#variant 'mat/O_lt_const_to_le_times_const'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_max_assoc' 'mat/andb_assoc'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_le_compat_l' 'mat/le_plus_r'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_eq_trans'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_nonneg' 'mat/le_SO_fact'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_max_distr' 'mat/demorgan2'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lcm_0_l' 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_nonneg_l' 'mat/lt_times_r1'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div_lt'#@#variant 'mat/lt_div'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_le_mono' 'mat/le_pred'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_land_assoc' 'mat/andb_assoc'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_trans' 'mat/trans_divides'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_glb_lt' 'mat/divides_minus'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lnot_ones' 'mat/orb_not_b_b'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_le_trans' 'mat/lt_to_le_to_lt'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_lt_lin'#@#variant 'mat/lt_sqrt_n'#@#variant
0. 'coq/Coq_NArith_BinNat_N_min_le_compat' 'mat/le_times'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_min_r' 'mat/divides_gcd_nm/0'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_sub_lt' 'mat/eq_div_O'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_compare_eq' 'mat/same_atom_to_eq'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mod_1_r'#@#variant 'mat/exp_n_O0'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pow_lt_mono_r'#@#variant 'mat/lt_exp'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_le_min_r' 'mat/divides_gcd_m'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_nonneg' 'mat/lt_O_teta'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lcm_assoc' 'mat/andbA'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_le_compat' 'mat/lt_plus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_le_compat_l' 'mat/le_plus_r'
0. 'coq/Coq_ZArith_BinInt_Z_add_le_mono' 'mat/le_plus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_land_lor_distr_r' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Reals_Exp_prop_exp_pos' 'mat/lt_O_S'
0. 'coq/Coq_ZArith_Zorder_Zsucc_lt_compat' 'mat/ltS'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_lt_mono' 'mat/le_plus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_compare_antisym' 'mat/nat_compare_n_m_m_n'
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_0_r' 'mat/divides_n_O'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_le_mono' 'mat/ltS'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_shuffle1' 'mat/ab_times_cd'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_1'#@#variant 'mat/A_SO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_max_distr_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_lt_lin'#@#variant 'mat/divides_smallest_factor_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_0_r' 'mat/times_n_O'
0. 'coq/Coq_NArith_BinNat_N_min_le_compat_r' 'mat/le_plus_l'
0. 'coq/Coq_NArith_Ndist_ni_le_le' 'mat/Zlt_pos_pos_to_lt'
0. 'coq/Coq_ZArith_BinInt_Z_lxor_0_l' 'mat/gcd_O_n'
0. 'coq/Coq_NArith_BinNat_N_gcd_mul_mono_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_ZArith_BinInt_Z_lcm_1_l' 'mat/Zpred_Zplus_neg_O'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_max_distr_r' 'mat/times_exp'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_le_mono_l' 'mat/le_times_l'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_nonneg'#@#variant 'mat/lt_SO_nth_prime_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lcm_diag' 'mat/gcd_n_n'
0. 'coq/Coq_Reals_Rtrigo_calc_tan_PI4'#@#variant 'mat/B_SSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div_le_lower_bound' 'mat/le_times_to_le_div'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tred_factor6_stable' 'mat/injective_S'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_reflexive'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_eq_decidable' 'mat/bool_to_decidable_eq'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_log2_log2_up' 'mat/le_B_A'
0. 'coq/Coq_ZArith_Znat_N2Z_inj_pos' 'mat/numerator_nat_fact_to_fraction'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_eqb_refl' 'mat/ltb_refl'
0. 'coq/Coq_Arith_PeanoNat_Nat_leb_refl' 'mat/nat_compare_n_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_le_mono' 'mat/ltS'
0. 'coq/Coq_Program_Combinators_compose_assoc' 'mat/eq_f_g_h'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_preorder'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_sub_le' 'mat/eq_div_O'
0. 'coq/Coq_QArith_Qreals_Qle_Rle' 'mat/lt_to_Zlt_pos_pos'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_min_distr_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_eq_refl'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_leb_refl' 'mat/eqb_n_n'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_refl' 'mat/divides_n_n'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lor_land_distr_r' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Reals_Rbasic_fun_Rmin_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_succ_r' 'mat/plus_n_Sm'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_lt_mono' 'mat/le_plus'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_eq_sym'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lt_0_succ' 'mat/le_SO_fact'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_1'#@#variant 'mat/A_SO'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_trans' 'mat/trans_lt'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_le_compat_r' 'mat/lt_plus_l'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_compare_eq' 'mat/same_atom_to_eq'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_le_compat_l' 'mat/le_times_r'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_le_succ_r' 'mat/ltW'
0. 'coq/Coq_NArith_Ndist_ni_min_idemp' 'mat/gcd_n_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sub_diag' 'mat/minus_n_n'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_le_mono' 'mat/lt_to_lt_S_S'
0. 'coq/Coq_ZArith_BinInt_Z_max_assoc' 'mat/andbA'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_mul_mono_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_ZArith_BinInt_Z_sub_min_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_NArith_BinNat_N_mul_add_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_2'#@#variant 'mat/B_SSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_min_l' 'mat/le_minus_m'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lor_0_l' 'mat/Qtimes_Qone_q'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_le_mono' 'mat/le_pred'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrtrem_spec' 'mat/num'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftl_ldiff' 'mat/times_exp'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_1_l'#@#variant 'mat/mod_O_n'
0. 'coq/Coq_Arith_PeanoNat_Nat_ldiff_ldiff_l' 'mat/exp_exp_times'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_sub_r' 'mat/divides_minus'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_min_distr_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_0' 'mat/eq_OZ_Zopp_OZ'
0. 'coq/Coq_ZArith_BinInt_Z_add_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_mul' 'mat/Qinv_Qtimes\''
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_nonneg' 'mat/lt_O_nth_prime_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_b2n_inj' 'mat/inj_pos'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_of_Z' 'mat/factorize_defactorize'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_preorder'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pos_div_eucl_spec' 'mat/frac'
0. 'coq/Coq_Arith_PeanoNat_Nat_sub_min_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_assoc' 'mat/assoc_times'
0. 'coq/Coq_Arith_Mult_mult_lt_compat_l' 'mat/lt_times_r1'
0. 'coq/Coq_NArith_BinNat_Ncompare_antisym' 'mat/nat_compare_n_m_m_n'
0. 'coq/Coq_Reals_Rtrigo_def_exp_0' 'mat/B_SSSO'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_1_r'#@#variant 'mat/plus_n_SO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_le_compat' 'mat/lt_plus'
0. 'coq/Coq_Reals_RIneq_Rgt_not_ge' 'mat/le_to_not_lt'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_m1'#@#variant 'mat/A_SSSO'#@#variant
0. 'coq/Coq_Reals_RIneq_Rge_or_gt' 'mat/not_le_to_lt'
0. 'coq/Coq_ZArith_Zorder_Zgt_irrefl' 'mat/Not_lt_n_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_spec_prime/0' 'mat/leq_sqrt_n'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_lt_lin'#@#variant 'mat/lt_sqrt_n'#@#variant
0. 'coq/Coq_Reals_RIneq_Rmult_lt_reg_l'#@#variant 'mat/lt_times_to_lt'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lor_m1_r'#@#variant 'mat/Ztimes_z_OZ'
0. 'coq/Coq_PArith_BinPos_Pos_mul_succ_r' 'mat/times_n_Sm'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_le_lin'#@#variant 'mat/lt_sqrt_n'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_le_mono' 'mat/lt_times'
0. 'coq/Coq_NArith_BinNat_N_min_id' 'mat/gcd_n_n'
0. 'coq/Coq_NArith_BinNat_N_le_decidable' 'mat/decidable_le'
0. 'coq/Coq_Bool_Bool_xorb_assoc_reverse' 'mat/assoc_Ztimes'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_min_distr' 'mat/Qinv_Qtimes\''
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_land_0_r' 'mat/Qtimes_q_OQ'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_0_succ' 'mat/lt_O_S'
0. 'coq/Coq_PArith_BinPos_Pos_succ_discr' 'mat/not_eq_n_Sn'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_reflexive'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_sub_distr_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftr_lxor' 'mat/times_exp'
0. 'coq/Coq_NArith_BinNat_N_eq_refl'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_sub_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_le_min_l' 'mat/le_minus_m'
0. 'coq/Coq_NArith_Nnat_Nat2N_id' 'mat/factorize_defactorize'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_lt_cancel' 'mat/lt_S_S_to_lt'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_spec_is_even' 'mat/premonoid'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_assoc' 'mat/assoc_times'
0. 'coq/Coq_Reals_Raxioms_Rmult_lt_compat_l'#@#variant 'mat/lt_exp'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_le_lin'#@#variant 'mat/divides_smallest_factor_n'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_add_distr_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_ZArith_BinInt_Z_mul_1_l'#@#variant 'mat/Ztimes_Zone_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_max_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_eq_mul_0_r' 'mat/times_O_to_O'
0. 'coq/Coq_Reals_Rbasic_fun_Rmax_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_divide_r' 'mat/divides_gcd_nm/0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_nonneg' 'mat/lt_O_nth_prime_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_0_l' 'mat/Qtimes_Qone_q'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_1_l'#@#variant 'mat/le_O_n'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_0_succ' 'mat/le_SO_fact'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_div_lt'#@#variant 'mat/lt_div'#@#variant
0. 'coq/Coq_Bool_Bool_negb_xorb_l' 'mat/Zplus_Zpred'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_two_succ'#@#variant 'mat/B_SSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sgn_mul' 'mat/Zopp_Zplus'
0. 'coq/Coq_ZArith_BinInt_Z_divide_factor_l' 'mat/le_plus_n_r'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_nonneg' 'mat/le_SO_fact'#@#variant
0. 'coq/Coq_NArith_Ndist_ni_le_antisym' 'mat/le_to_le_to_eq'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_id' 'mat/gcd_n_n'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_nle_succ_0' 'mat/not_le_Sn_O'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_0_l' 'mat/Ztimes_Zone_l'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lxor_nilpotent' 'mat/bc_n_n'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_min_distr_r' 'mat/times_exp'
0. 'coq/Coq_NArith_BinNat_N_log2_up_le_mono' 'mat/le_to_le_pred'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_le_compat' 'mat/lt_times'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftr_lxor' 'mat/times_minus_l'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_ldiff_0_l' 'mat/mod_O_n'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_nonneg'#@#variant 'mat/lt_O_fact'#@#variant
0. 'coq/Coq_Reals_ROrderedType_ROrder_not_ge_lt' 'mat/not_le_to_lt'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_le_trans' 'mat/lt_to_le_to_lt'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_reduce_stable' 'mat/injective_nth_prime'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_sub_lt' 'mat/lt_to_div_O'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_min_distr' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_min_distr_l' 'mat/distr_times_plus'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_le_mono' 'mat/lt_to_lt_S_S'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_le_mono_nonneg_l'#@#variant 'mat/le_exp'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_land_m1_l'#@#variant 'mat/gcd_O_n'
0. 'coq/Coq_Arith_PeanoNat_Nat_compare_eq' 'mat/same_atom_to_eq'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_compare_eq' 'mat/same_atom_to_eq'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_assoc' 'mat/assoc_plus'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_1_l' 'mat/rtimes_one_r'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_eq_trans'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_mul_l' 'mat/times_minus_l'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_preorder'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_rem_1_l'#@#variant 'mat/exp_n_O'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_antisym' 'mat/le_to_le_to_eq'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_reflexive'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_sqrt_spec' 'mat/Magma_OF_PreGroup'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_assoc' 'mat/assoc_times'
0. 'coq/Coq_ZArith_Zorder_Zsucc_gt_compat' 'mat/le_to_le_pred'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_strorder'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftr_lxor' 'mat/times_plus_l'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_eq_refl'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_QArith_Qreduction_Qmult_prime_comp' 'mat/lt_plus'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_eq_sym'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_0_l' 'mat/rtimes_one_r'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_le_mono' 'mat/le_times'
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_mul_mono_r' 'mat/times_minus_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftl_lor' 'mat/times_minus_l'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_2' 'mat/A_SSO'
0. 'coq/Coq_QArith_QArith_base_Qinv_lt_0_compat'#@#variant 'mat/lt_O_smallest_factor'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mod_small' 'mat/le_to_mod'
0. 'coq/Coq_ZArith_BinInt_Z_add_0_l' 'mat/rtimes_one_r'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_lt_lin'#@#variant 'mat/lt_sqrt_n'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono' 'mat/lt_plus'
0. 'coq/Coq_Arith_Minus_minus_diag_reverse' 'mat/minus_n_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_le_mono' 'mat/ltS'
0. 'coq/Coq_ZArith_BinInt_Z_quot_le_mono'#@#variant 'mat/lt_exp1'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_log2_log2_up' 'mat/le_B_A'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_lt_mono' 'mat/divides_times'
0. 'coq/Coq_PArith_BinPos_Pos_ltb_irrefl' 'mat/ltb_refl'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_sub_le' 'mat/lt_to_div_O'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_leb_refl' 'mat/leb_refl'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lor_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_max_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_Reals_RIneq_Rplus_ge_reg_l' 'mat/lt_plus_to_lt_r'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sub_add' 'mat/divides_to_div'
0. 'coq/Coq_Arith_PeanoNat_Nat_ltb_irrefl' 'mat/nat_compare_n_n'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_add_r' 'mat/exp_plus_times'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_lt_mono' 'mat/lt_plus'
0. 'coq/Coq_NArith_BinNat_N_ggcd_correct_divisors' 'mat/eqb_to_Prop'
0. 'coq/Coq_NArith_BinNat_N_min_le_compat_l' 'mat/lt_plus_r'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_sqrt_spec' 'mat/Magma_OF_Group'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_le_mono' 'mat/le_to_le_pred'
0. 'coq/Coq_NArith_BinNat_N_double_mul' 'mat/Zplus_Zsucc'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_succ_l' 'mat/Zplus_Zsucc'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_land_0_l' 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_PositiveOrderedTypeBits_eq_equiv'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_NArith_Ndist_ni_min_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_0_l' 'mat/Qtimes_Qone_q'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pred_0' 'mat/A_SO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftl_ldiff' 'mat/times_exp'
0. 'coq/Coq_Arith_PeanoNat_Nat_land_assoc' 'mat/assoc_times'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_strorder'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_divide_transitive'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pow_le_mono_l' 'mat/lt_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_divide_mono_r' 'mat/le_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_strorder'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lcm_1_r' 'mat/exp_n_SO'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_sub_r' 'mat/divides_minus'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_T_OMEGA13_stable' 'mat/monotonic_A'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_0_l'#@#variant 'mat/exp_n_O'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_le_mono' 'mat/le_pred'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lor_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_sqrt_spec' 'mat/magma'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_eqb_refl' 'mat/eqb_n_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftr_land' 'mat/times_plus_l'
0. 'coq/Coq_ZArith_Zquot_Zquot_Zquot' 'mat/exp_exp_times'
0. 'coq/Coq_ZArith_BinInt_Z_log2_nonneg' 'mat/lt_O_fact'
0. 'coq/Coq_MMaps_MMapPositive_PositiveMap_E_lt_strorder'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_2'#@#variant 'mat/A_SSO'#@#variant
0. 'coq/Coq_NArith_BinNat_N_add_succ_r' 'mat/plus_n_Sm'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div_eucl_spec' 'mat/eqb_to_Prop'
0. 'coq/Coq_PArith_BinPos_Pos_mul_xO_r' 'mat/plus_n_Sm'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_0' 'mat/eq_OZ_Zopp_OZ'
0. 'coq/Coq_Arith_PeanoNat_Nat_max_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_pow2'#@#variant 'mat/S_pred'#@#variant
0. 'coq/Coq_NArith_BinNat_N_le_min_l' 'mat/divides_gcd_nm/1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_m1'#@#variant 'mat/A_SSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_0' 'mat/A_SO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_assoc' 'mat/assoc_plus'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_lt_mono' 'mat/lt_times'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lcm_mul_mono_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_pow2'#@#variant 'mat/S_pred'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_double_inj' 'mat/inj_S'
0. 'coq/Coq_Arith_Mult_mult_assoc_reverse' 'mat/andbA'
0. 'coq/Coq_Reals_RIneq_Rplus_le_compat' 'mat/lt_plus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_land_m1_l'#@#variant 'mat/rtimes_one_r'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_0_l' 'mat/gcd_O_n'
0. 'coq/Coq_NArith_BinNat_N_divide_lcm_r' 'mat/le_plus_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_min_distr_l' 'mat/distr_times_plus'
0. 'coq/Coq_QArith_Qreduction_Qplus_prime_comp' 'mat/divides_times'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_nonneg' 'mat/lt_O_S'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftr_lxor' 'mat/times_exp'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lor_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_NArith_BinNat_N_eqb_refl' 'mat/eqb_n_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_l' 'mat/lt_plus_r'
0. 'coq/Coq_Arith_Le_le_S_n' 'mat/le_S_S_to_le'
0. 'coq/Coq_NArith_BinNat_N_mul_min_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_0_l' 'mat/rtimes_one_r'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_max_distr_l' 'mat/distr_times_minus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_land_lor_distr_r' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_lt_mono_r'#@#variant 'mat/lt_exp'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_divide_r' 'mat/divides_gcd_nm/0'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_sqrt_spec' 'mat/semigroup'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lcm_mul_mono_r' 'mat/times_minus_l'
0. 'coq/Coq_NArith_Ndec_Peqb_complete' 'mat/same_atom_to_eq'
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_add_r' 'mat/divides_minus'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_1_l'#@#variant 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lxor_lnot_lnot' 'mat/minus_S_S'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftl_lor' 'mat/times_exp'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sub_succ_r' 'mat/eq_minus_S_pred'
0. 'coq/Coq_NArith_BinNat_N_max_le_compat_r' 'mat/le_plus_l'
0. 'coq/Coq_Reals_RIneq_Rge_gt_trans' 'mat/le_to_lt_to_lt'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_2'#@#variant 'mat/A_SSO'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_sqrt_spec' 'mat/premonoid0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_nonneg' 'mat/lt_O_nth_prime_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_lt_cancel' 'mat/lt_S_S_to_lt'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_max_distr' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_lxor_l' 'mat/Zplus_Zpred'
0. 'coq/Coq_PArith_BinPos_Pos_le_trans' 'mat/trans_lt'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ldiff_0_l' 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_max_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_NArith_BinNat_N_lcm_1_l'#@#variant 'mat/gcd_O_n'
0. 'coq/Coq_Reals_Raxioms_Rmult_assoc' 'mat/andb_assoc'
0. 'coq/Coq_Bool_Bool_xorb_assoc_reverse' 'mat/assoc_plus'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_pos'#@#variant 'mat/le_SSO_fact'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_0_l' 'mat/mod_O_n'
0. 'coq/Coq_ZArith_BinInt_Z_log2_nonneg'#@#variant 'mat/not_nf_elim_not/1'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_min_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_Reals_RIneq_Rplus_le_reg_l' 'mat/le_plus_to_le'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_le_compat_r' 'mat/le_times_l'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_compare_eq' 'mat/eqb_true_to_eq'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_b2n_inj' 'mat/inj_neg'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftr_lxor' 'mat/times_minus_l'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lcm_1_l'#@#variant 'mat/gcd_O_n'
0. 'coq/Coq_Arith_EqNat_beq_nat_refl' 'mat/nat_compare_n_n'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_le_lin'#@#variant 'mat/lt_sqrt_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_sub_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_1_l'#@#variant 'mat/le_O_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_lt_cancel' 'mat/ltS\''
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_nonneg'#@#variant 'mat/lt_O_nth_prime_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_le_compat' 'mat/divides_times'
0. 'coq/Coq_QArith_Qround_Qceiling_Z' 'mat/numeratorQ_nat_fact_all_to_Q'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_quot_le_lower_bound' 'mat/le_times_to_le_div'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_carry_reg_r' 'mat/inj_plus_l'
0. 'coq/Coq_Reals_Rtrigo1_sin_2PI'#@#variant 'mat/B_SSSSO'#@#variant
0. 'coq/Coq_NArith_BinNat_N_log2_nonneg'#@#variant 'mat/lt_O_S'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_min_max_distr' 'mat/distr_times_minus'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_quotrem_eq' 'mat/eqZb_to_Prop'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_involutive' 'mat/notb_notb'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_nonneg'#@#variant 'mat/not_nf_elim_not/1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_le_compat_l' 'mat/lt_plus_r'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_compare_refl' 'mat/eqb_n_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_1_l'#@#variant 'mat/divides_SO_n'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pred_0' 'mat/eq_OZ_Zopp_OZ'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_sub' 'mat/minus_plus_m_m'
0. 'coq/Coq_ZArith_BinInt_Z_max_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lor_lnot_diag'#@#variant 'mat/rtimes_rinv'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_trans' 'mat/trans_divides'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_1'#@#variant 'mat/eq_OZ_Zopp_OZ'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_0_succ' 'mat/le_SO_fact'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lt_0_succ'#@#variant 'mat/lt_O_nth_prime_n'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_le_mono' 'mat/lt_to_lt_S_S'
0. 'coq/Coq_Arith_Minus_lt_O_minus_lt' 'mat/lt_O_minus_to_lt'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_nonneg'#@#variant 'mat/not_nf_elim_not/0'
0. 'coq/Coq_NArith_BinNat_N_sqrt_2'#@#variant 'mat/A_SSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_lt_cancel' 'mat/le_S_S_to_le'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_1_l'#@#variant 'mat/mod_O_n'
0. 'coq/Coq_Arith_PeanoNat_Nat_sub_diag' 'mat/bc_n_n'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_min_distr_l' 'mat/distr_times_minus'
0. 'coq/Coq_Arith_PeanoNat_Nat_compare_refl' 'mat/nat_compare_n_n'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_double_inj' 'mat/not_eq_S'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_lt_mono' 'mat/divides_times'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_div2_double'#@#variant 'mat/pred_Sn'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_pred_r' 'mat/plus_n_Sm'
0. 'coq/Coq_PArith_BinPos_Pos_add_max_distr_l' 'mat/distr_times_minus'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_antisym' 'mat/antisym_le'
0. 'coq/Coq_MSets_MSetPositive_PositiveSet_E_eq_equiv'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lt_neq' 'mat/lt_to_not_eq'
0. 'coq/Coq_Lists_Streams_EqSt_reflex' 'mat/incl_A_A'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_1_l'#@#variant 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_1'#@#variant 'mat/A_SSO'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_le_compat' 'mat/le_plus'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_lt_mono' 'mat/lt_plus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_eq_refl'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_NArith_BinNat_N_succ_inj' 'mat/not_eq_S'
0. 'coq/Coq_NArith_BinNat_N_lt_succ_diag_r' 'mat/le_n_fact_n'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_ZArith_BinInt_Z_max_le_compat_r' 'mat/le_times_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_eq_0_l' 'mat/andb_true_true'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sub_le_mono_r' 'mat/lt_plus_l'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_gcd_divide_l' 'mat/divides_gcd_n'
0. 'coq/Coq_Reals_RIneq_Rsqr_0' 'mat/eq_OZ_Zopp_OZ'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_eq_trans'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_1'#@#variant 'mat/eq_OZ_Zopp_OZ'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_land_lor_distr_l' 'mat/times_exp'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_0_l' 'mat/Ztimes_Zone_l'
0. 'coq/Coq_ZArith_BinInt_Z_min_glb' 'mat/divides_minus'
0. 'coq/Coq_Bool_Bool_andb_true_eq' 'mat/gcd_O_to_eq_O'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pred_le_mono' 'mat/lt_to_lt_S_S'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_1'#@#variant 'mat/eq_OZ_Zopp_OZ'
0. 'coq/Coq_ZArith_Zlogarithm_log_sup_correct1'#@#variant 'mat/sieve_sorted'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_max_distr' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_land_lnot_diag' 'mat/Zplus_Zopp'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrtrem_spec' 'mat/premonoid0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lcm_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftr_land' 'mat/times_plus_l'
0. 'coq/Coq_Classes_RelationClasses_iff_equivalence' 'mat/impl_refl'
0. 'coq/Coq_Reals_RIneq_Rmult_plus_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_sub_lt_add_l' 'mat/lt_minus_to_lt_plus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_nonneg' 'mat/lt_O_fact'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_le_mono' 'mat/ltS'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_1_r'#@#variant 'mat/plus_n_SO'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_sqrt_spec' 'mat/Magma_OF_finite_enumerable_SemiGroup'
0. 'coq/Coq_PArith_BinPos_Pos_lt_le_incl' 'mat/lt_to_le'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_of_Z' 'mat/defactorize_factorize'
0. 'coq/Coq_Reals_Rbasic_fun_RRle_abs' 'mat/le_n_Sn'
0. 'coq/Coq_Arith_Le_le_n_S' 'mat/le_pred'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_lt_mono' 'mat/lt_times'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_land_lor_distr_r' 'mat/distr_times_plus'
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_succ_le' 'mat/times_SSO_pred'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_id' 'mat/gcd_n_n'
0. 'coq/Coq_Bool_Bool_orb_andb_distrib_r' 'mat/distr_times_plus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_nonneg'#@#variant 'mat/lt_O_teta'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_eq_equiv'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_ltb_irrefl' 'mat/eqb_n_n'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lor_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_add_distr_l' 'mat/distr_times_minus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_pred' 'mat/Zsucc_Zpred'
0. 'coq/Coq_ZArith_BinInt_Z_abs_nonneg' 'mat/lt_O_nth_prime_n'
0. 'coq/Coq_NArith_BinNat_N_log2_up_nonneg'#@#variant 'mat/prime_nth_prime'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_ltb_irrefl' 'mat/ltb_refl'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftr_lxor' 'mat/times_exp'
0. 'coq/Coq_Arith_PeanoNat_Nat_max_assoc' 'mat/assoc_plus'
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_transitive'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tred_factor3_stable' 'mat/monotonic_sqrt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lcm_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_Reals_Ratan_atan_right_inv' 'mat/Zpred_Zsucc'
0. 'coq/Coq_PArith_BinPos_Pos_sqrt_spec' 'mat/Magma_OF_Group'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_succ_diag_r' 'mat/le_n_fact_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_reflexive'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_QArith_QOrderedType_QOrder_not_ge_lt' 'mat/not_lt_to_le'
0. 'coq/Coq_ZArith_Znat_Z_N_nat' 'mat/numerator_nat_fact_to_fraction'
0. 'coq/Coq_Reals_Raxioms_Rlt_trans' 'mat/trans_lt'
0. 'coq/Coq_setoid_ring_Ring_theory_Eqsth' 'mat/transitive_eq'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftr_0_l' 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_opp_diag_r' 'mat/Zplus_Zopp'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_1_r'#@#variant 'mat/Ztimes_z_OZ'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lcm_0_r' 'mat/Qtimes_q_OQ'
0. 'coq/Coq_PArith_BinPos_Pos_mul_reg_l' 'mat/inj_plus_r'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_nonneg' 'mat/le_SO_fact'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zle_not_lt' 'mat/le_to_not_lt'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono' 'mat/divides_times'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_eq_trans'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_ZArith_Znumtheory_Zdivide_Zgcd' 'mat/divides_plus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_assoc' 'mat/assoc_times'
0. 'coq/Coq_Structures_OrdersEx_PositiveOrderedTypeBits_lt_strorder'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lcm_diag' 'mat/orb_refl'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_1_l'#@#variant 'mat/mod_O_n'
0. 'coq/Coq_NArith_BinNat_N_log2_up_lt_lin'#@#variant 'mat/lt_sqrt_n'#@#variant
0. 'coq/Coq_Arith_Min_plus_min_distr_l' 'mat/distr_times_minus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_land_lor_distr_l' 'mat/times_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_quot_le_mono'#@#variant 'mat/lt_exp1'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_even_succ' 'mat/pos_n_eq_S_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_lt_cancel' 'mat/ltS\''
0. 'coq/Coq_QArith_Qminmax_Q_min_glb_lt' 'mat/divides_minus'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_divide_l' 'mat/le_minus_m'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_nonneg'#@#variant 'mat/lt_O_nth_prime_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_leb_refl' 'mat/ltb_refl'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_id' 'mat/orb_refl'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lcm_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_Arith_PeanoNat_Nat_succ_min_distr' 'mat/Zopp_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_max_distr' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_min_distr' 'mat/distr_times_minus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_pos'#@#variant 'mat/prime_smallest_factor_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_inj' 'mat/not_eq_S'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_T_OMEGA16_stable' 'mat/monotonic_sqrt'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_nonneg_r'#@#variant 'mat/lt_times_l1'#@#variant
0. 'coq/Coq_Reals_RIneq_Rplus_lt_compat_r' 'mat/le_plus_l'
0. 'coq/Coq_NArith_BinNat_N_min_glb' 'mat/divides_plus'
0. 'coq/Coq_Reals_RIneq_Rplus_lt_compat_r' 'mat/le_times_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_lt_mono' 'mat/le_times'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_lt_cancel' 'mat/lt_S_S_to_lt'
0. 'coq/Coq_ZArith_BinInt_Z_add_max_distr_r' 'mat/times_exp'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_eqb_refl' 'mat/ltb_refl'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_eqb_refl' 'mat/leb_refl'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_land_0_r' 'mat/Ztimes_z_OZ'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_nonneg'#@#variant 'mat/lt_SO_nth_prime_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mod_1_r'#@#variant 'mat/mod_SO'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_0_l' 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_le_mono' 'mat/lt_times'
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_pos' 'mat/lt_O_teta'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_lt_mono' 'mat/lt_times'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_double_add' 'mat/Qinv_Qtimes\''
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_le_mono' 'mat/le_to_le_pred'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_nonneg' 'mat/le_SO_fact'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_add_le_sub_r' 'mat/le_minus_to_plus'
0. 'coq/Coq_NArith_BinNat_N_ldiff_ldiff_l' 'mat/exp_exp_times'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_0_r' 'mat/Qtimes_q_OQ'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_add_r' 'mat/le_plus_n_r'
0. 'coq/Coq_QArith_Qminmax_Q_min_le_compat_r' 'mat/lt_plus_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_add_distr_r' 'mat/times_exp'
0. 'coq/Coq_ZArith_BinInt_Z_land_m1_l'#@#variant 'mat/Ztimes_Zone_l'
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_2'#@#variant 'mat/A_SSO'#@#variant
0. 'coq/Coq_Reals_RIneq_Rlt_or_le' 'mat/not_lt_to_le'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_dec_eq' 'mat/decidable_eq_nat'
0. 'coq/Coq_Numbers_Natural_BigN_Nbasic_plusnS' 'mat/plus_n_Sm'
0. 'coq/Coq_ZArith_BinInt_Z_mul_sub_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_max_distr' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_spec_is_even' 'mat/semigroup'
0. 'coq/Coq_Reals_Rminmax_R_OT_eq_equiv'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lor_m1_r'#@#variant 'mat/Qtimes_q_OQ'
0. 'coq/Coq_NArith_BinNat_N_sqrtrem_spec' 'mat/semigroup'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_neq' 'mat/lt_to_not_eq'
0. 'coq/Coq_Reals_RIneq_Rplus_le_compat' 'mat/le_plus'
0. 'coq/Coq_Reals_ROrderedType_ROrder_le_trans' 'mat/trans_divides'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_Even_or_Odd' 'mat/not_not_bertrand_to_bertrand'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_l' 'mat/lt_to_eq_mod'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_pow2'#@#variant 'mat/S_pred'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_divide_r' 'mat/divides_gcd_nm/0'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_id' 'mat/orb_refl'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_nonneg' 'mat/lt_O_fact'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_eq_trans'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_nonneg' 'mat/lt_O_nth_prime_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_square' 'mat/eq_sqrt'
0. 'coq/Coq_Reals_Raxioms_Rmult_assoc' 'mat/andbA'
0. 'coq/Coq_ZArith_Zquot_Z_quot_monotone'#@#variant 'mat/lt_exp1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_1_r' 'mat/plus_n_SO'
0. 'coq/Coq_Reals_Rpower_ln_1' 'mat/A_SSSO'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_max_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sub_add' 'mat/divides_to_div'
0. 'coq/Coq_Reals_RIneq_Rnot_le_lt' 'mat/not_le_to_lt'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_assoc' 'mat/assoc_plus'
0. 'coq/Coq_Reals_RIneq_Rmult_integral_contrapositive_currified' 'mat/times_O_to_O'
0. 'coq/Coq_Structures_DecidableTypeEx_Z_as_DT_lt_trans' 'mat/trans_divides'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_nonneg' 'mat/lt_O_nth_prime_n'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_ggcd_correct_divisors' 'mat/Z_compare_to_Prop'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lxor_nilpotent' 'mat/minus_n_n'
0. 'coq/Coq_QArith_Qround_Qfloor_Z' 'mat/defactorize_factorize'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ggcd_correct_divisors' 'mat/R'
0. 'coq/Coq_PArith_BinPos_Pos_mul_eq_1_l' 'mat/andb_true_true'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_of_Q' 'mat/defactorize_factorize'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_eq_refl'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_nonneg'#@#variant 'mat/lt_O_nth_prime_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_mul_r' 'mat/eq_minus_minus_minus_plus'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_max_distr_l' 'mat/distr_times_plus'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_succ_diag_r' 'mat/lt_n_nth_prime_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_0_l' 'mat/Qtimes_Qone_q'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div_eucl_spec' 'mat/eqfb_to_Prop'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_max_distr_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lor_assoc' 'mat/andb_assoc'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftr_ldiff' 'mat/times_plus_l'
0. 'coq/Coq_ZArith_BinInt_Z_lt_strorder'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_NArith_BinNat_N_log2_up_nonneg'#@#variant 'mat/lt_SO_nth_prime_n'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_min_r' 'mat/divides_gcd_nm/0'
0. 'coq/Coq_MSets_MSetPositive_PositiveSet_E_lt_strorder'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_land_0_l' 'mat/mod_O_n'
0. 'coq/Coq_MMaps_MMapPositive_PositiveMap_E_lt_strorder'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono' 'mat/le_plus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_1'#@#variant 'mat/eq_OZ_Zopp_OZ'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lxor_assoc' 'mat/andb_assoc'
0. 'coq/Coq_ZArith_BinInt_Z_mul_sub_distr_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_1_r' 'mat/exp_n_SO'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_assoc' 'mat/assoc_times'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div2_succ_double' 'mat/Zsucc_Zpred'
0. 'coq/Coq_Reals_RIneq_Ropp_0_le_ge_contravar'#@#variant 'mat/prime_smallest_factor_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_nonneg_r'#@#variant 'mat/lt_times_l1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_le_compat_r' 'mat/le_times_l'
0. 'coq/Coq_Reals_RIneq_Rmult_ne/1' 'mat/Ztimes_Zone_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_min_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_nonneg'#@#variant 'mat/prime_nth_prime'
0. 'coq/Coq_Arith_PeanoNat_Nat_pred_succ' 'mat/Zpred_Zsucc'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_lt_mono' 'mat/lt_times'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_compare_refl' 'mat/eqb_n_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftl_0_l' 'mat/mod_O_n'
0. 'coq/Coq_QArith_Qcanon_Qc_eq_bool_correct' 'mat/same_atom_to_eq'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_nonneg'#@#variant 'mat/not_nf_elim_not/1'
0. 'coq/Coq_NArith_BinNat_N_le_log2_up_succ_log2' 'mat/le_teta'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_lt_mono' 'mat/lt_plus'
0. 'coq/Coq_ZArith_BinInt_Z_lt_pred_l' 'mat/le_prim_n'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_0_l' 'mat/rtimes_one_r'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_max_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_Arith_Lt_lt_n_Sm_le' 'mat/lt_S_to_le'
0. 'coq/Coq_Bool_Bool_andb_true_l' 'mat/Ztimes_Zone_l'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_succ_r' 'mat/plus_n_Sm'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_le_mono' 'mat/le_times'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_2'#@#variant 'mat/B_SSSO'#@#variant
0. 'coq/Coq_NArith_BinNat_N_log2_lt_cancel' 'mat/lt_S_S_to_lt'
0. 'coq/Coq_Arith_PeanoNat_Nat_max_le_compat' 'mat/le_plus'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sub_max_distr_l' 'mat/exp_plus_times'
0. 'coq/Coq_Reals_Rminmax_R_OT_eq_equiv'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sub_max_distr_l' 'mat/exp_plus_times'
0. 'coq/Coq_Reals_Rminmax_R_plus_min_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_div_le_mono'#@#variant 'mat/lt_times_l1'#@#variant
0. 'coq/Coq_ZArith_Znat_Zabs2Nat_id' 'mat/numeratorQ_nat_fact_all_to_Q'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_leb_refl' 'mat/eqb_n_n'
0. 'coq/Coq_Classes_RelationClasses_impl_Reflexive' 'mat/impl_refl'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_le_mono' 'mat/le_to_le_pred'
0. 'coq/Coq_PArith_BinPos_Pos_pred_succ' 'mat/pred_Sn'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_lor' 'mat/demorgan1'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_lt_mono' 'mat/le_plus'
0. 'coq/Coq_NArith_BinNat_N_sqrtrem_spec' 'mat/fsort'
0. 'coq/Coq_ZArith_Znat_positive_N_nat' 'mat/numerator_nat_fact_to_fraction'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_le_mono' 'mat/ltS'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lcm_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_min_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_min_l' 'mat/divides_gcd_n'
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_greatest' 'mat/divides_minus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_assoc' 'mat/andb_assoc'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_id' 'mat/orb_refl'
0. 'coq/Coq_ZArith_BinInt_Z_log2_2'#@#variant 'mat/B_SSSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_sub_distr_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_eq_trans'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_Bool_Bool_orb_assoc' 'mat/andbA'
0. 'coq/Coq_PArith_BinPos_Pos_max_min_distr' 'mat/distr_times_plus'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_lt_mono_r'#@#variant 'mat/le_exp'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_land_lor_distr_r' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lcm_0_l' 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_nonneg' 'mat/lt_O_fact'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_neq_0_succ' 'mat/not_eq_O_S'
0. 'coq/Coq_NArith_BinNat_N_add_succ_l' 'mat/Zplus_Zsucc'
0. 'coq/Coq_Reals_Rminmax_R_opp_max_distr' 'mat/demorgan2'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_le_mono' 'mat/lt_times'
0. 'coq/Coq_Reals_RIneq_Rmult_opp_opp' 'mat/minus_S_S'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_eq_0_r' 'mat/eq_Qtimes_OQ_to_eq_OQ'
0. 'coq/Coq_ZArith_BinInt_Z_mul_le_mono_nonneg_r'#@#variant 'mat/lt_exp1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_1_l'#@#variant 'mat/Ztimes_Zone_l'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_nonneg'#@#variant 'mat/not_nf_elim_not/0'
0. 'coq/Coq_Reals_Rbasic_fun_Rle_min_compat_l' 'mat/lt_plus_r'
0. 'coq/Coq_Arith_PeanoNat_Nat_b2n_inj' 'mat/inj_neg'
0. 'coq/Coq_Arith_PeanoNat_Nat_max_le_compat' 'mat/le_times'
0. 'coq/Coq_QArith_Qabs_Qabs_wd' 'mat/ltS'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_min_r' 'mat/divides_gcd_nm/0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_two_succ'#@#variant 'mat/B_SSSO'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_lt_lin'#@#variant 'mat/divides_smallest_factor_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftr_ldiff' 'mat/times_plus_l'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lcm_1_l'#@#variant 'mat/rtimes_one_r'
0. 'coq/Coq_Reals_RIneq_Rle_not_lt' 'mat/le_to_not_lt'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_lt_mono' 'mat/lt_times'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_nonneg'#@#variant 'mat/not_nf_elim_not/0'
0. 'coq/Coq_Reals_RIneq_Ropp_0_ge_le_contravar'#@#variant 'mat/lt_SO_n_to_lt_O_pred_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_div_1_r' 'mat/exp_n_SO'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_1_l' 'mat/gcd_SO_n'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_le_compat' 'mat/le_plus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_glb_lt' 'mat/divides_plus'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_le_compat' 'mat/le_plus'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_min_distr_l' 'mat/distr_times_plus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_lt_mono' 'mat/divides_times'
0. 'coq/Coq_Structures_OrderedTypeEx_Z_as_OT_lt_trans' 'mat/trans_divides'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_1_l'#@#variant 'mat/gcd_O_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_le_compat' 'mat/le_plus'
0. 'coq/Coq_NArith_BinNat_N_pow_lt_mono_r'#@#variant 'mat/lt_exp'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_max_distr_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_eq_refl'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lt_strorder'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_QArith_Qminmax_Q_le_max_l' 'mat/le_plus_n_r'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_0_r' 'mat/divides_n_O'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_max_distr_l' 'mat/distr_times_minus'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_max_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_lor' 'mat/demorgan2'
0. 'coq/Coq_Reals_Ratan_atan_bound/0'#@#variant 'mat/le_SO_fact'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_divide_lcm_l' 'mat/le_plus_n_r'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_sub_distr_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_ge_cases' 'mat/not_lt_to_le'
0. 'coq/Coq_ZArith_BinInt_Z_log2_lt_cancel' 'mat/lt_S_S_to_lt'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_0' 'mat/A_SO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_eq_decidable' 'mat/bool_to_decidable_eq'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_even_succ' 'mat/pos_n_eq_S_n'
0. 'coq/Coq_Arith_PeanoNat_Nat_land_0_r' 'mat/Ztimes_z_OZ'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_le_lin' 'mat/le_pred_n'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_le_compat_r' 'mat/le_plus_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_double_mul' 'mat/Zplus_Zpred'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_square' 'mat/eq_sqrt'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_inj' 'mat/inj_S'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_trans' 'mat/trans_divides'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_refl' 'mat/divides_n_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pred_0' 'mat/A_SO'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_succ_diag_r' 'mat/lt_n_nth_prime_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_min_distr_r' 'mat/times_exp'
0. 'coq/Coq_ZArith_Zdiv_Zdiv_0_r' 'mat/times_n_O'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_le_mono_nonneg_r' 'mat/lt_exp1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_land_0_r' 'mat/Qtimes_q_OQ'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_max_distr_l' 'mat/distr_times_plus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_0'#@#variant 'mat/B_SSSSO'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lcm_1_l'#@#variant 'mat/Ztimes_Zone_l'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_one_succ'#@#variant 'mat/A_SSSO'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lcm_diag' 'mat/times_SSO_n'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_simpl_r' 'mat/minus_plus_m_m'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_succ_l' 'mat/lt_S_to_lt'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_ggcd_correct_divisors' 'mat/eqb_to_Prop'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_l' 'mat/le_to_mod'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_dec_eq' 'mat/decidable_eq_fraction'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sub_le_mono_l' 'mat/monotonic_le_minus_r'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ldiff_diag' 'mat/bc_n_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_nonneg'#@#variant 'mat/lt_O_teta'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zsucc_gt_reg' 'mat/le_S_S_to_le'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_sub_lt_add_r' 'mat/le_minus_to_plus'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_land' 'mat/demorgan2'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_eq_sym'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_Arith_Mult_mult_is_O' 'mat/eq_Qtimes_OQ_to_eq_OQ'
0. 'coq/Coq_Classes_RelationClasses_eq_Reflexive' 'mat/transitive_eq'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_0_l' 'mat/mod_O_n'
0. 'coq/Coq_Reals_RList_RList_P27' 'mat/andb_assoc'
0. 'coq/Coq_Reals_RIneq_Rplus_ge_compat' 'mat/divides_times'
0. 'coq/Coq_Reals_RIneq_Rplus_ge_gt_compat' 'mat/le_to_lt_to_plus_lt'
0. 'coq/Coq_PArith_BinPos_Pos_sqrt_spec' 'mat/pregroup'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrtrem_spec' 'mat/num'
0. 'coq/Coq_ZArith_Zorder_Zgt_trans' 'mat/trans_lt'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pos_pred_succ' 'mat/numeratorQ_nat_fact_all_to_Q'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_min_distr_r' 'mat/times_exp'
0. 'coq/Coq_ZArith_BinInt_Z_mul_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_sub_r' 'mat/divides_minus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_1_l'#@#variant 'mat/mod_O_n'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_divide_l' 'mat/divides_gcd_n'
0. 'coq/Coq_Classes_RelationClasses_iff_Transitive' 'mat/reflexive_iff'
0. 'coq/Coq_ZArith_BinInt_Z_lcm_0_r' 'mat/Qtimes_q_OQ'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_le_mono' 'mat/lt_to_lt_S_S'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_0_r' 'mat/Qtimes_q_OQ'
0. 'coq/Coq_PArith_BinPos_Pos_leb_refl' 'mat/ltb_refl'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tmult_comm_stable' 'mat/injective_nth_prime'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_lt_1_succ' 'mat/lt_O_S'
0. 'coq/Coq_ZArith_Zbool_Zge_cases' 'mat/R'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_0_l' 'mat/gcd_O_n'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_le_compat' 'mat/lt_plus'
0. 'coq/Coq_PArith_BinPos_Pos_mul_succ_r' 'mat/exp_S'
0. 'coq/Coq_Init_Peano_le_pred' 'mat/le_pred'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_nonneg'#@#variant 'mat/lt_O_fact'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_le_lin'#@#variant 'mat/divides_smallest_factor_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sub_add_distr' 'mat/exp_exp_times'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_1_l' 'mat/divides_SO_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_min_r' 'mat/divides_gcd_nm/0'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_le_compat' 'mat/le_plus'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lcm_assoc' 'mat/andb_assoc'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_trans' 'mat/trans_le'
0. 'coq/Coq_NArith_BinNat_N_log2_up_pos'#@#variant 'mat/prime_smallest_factor_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_mul_mono_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_sqrt_spec' 'mat/num'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_1_l'#@#variant 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ldiff_m1_r'#@#variant 'mat/exp_n_O0'#@#variant
0. 'coq/Coq_Reals_Rtrigo_def_cos_0' 'mat/B_SSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_0_r' 'mat/divides_n_O'
0. 'coq/Coq_ZArith_BinInt_Z_ldiff_0_l' 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_omega_OmegaLemmas_Zred_factor2'#@#variant 'mat/times_n_Sm'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_opp_norm' 'mat/lt_SO_smallest_factor'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_le_mono_l' 'mat/le_times_l'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lxor_assoc' 'mat/andb_assoc'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_le_trans' 'mat/lt_to_le_to_lt'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_lt_succ_r' 'mat/ltW'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_sqrt_sqrt_up' 'mat/le_B_A'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_pos_le'#@#variant 'mat/divides_to_le'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tred_factor0_stable' 'mat/injective_S'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_1'#@#variant 'mat/B_SSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_log2_up_succ_log2' 'mat/le_teta'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftr_lor' 'mat/times_plus_l'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_pred_l' 'mat/le_pred_n'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_inj_r'#@#variant 'mat/inj_exp_r'#@#variant
0. 'coq/Coq_Reals_RIneq_Rplus_le_compat_l' 'mat/lt_plus_r'
0. 'coq/Coq_QArith_Qminmax_Q_max_le_compat_r' 'mat/lt_plus_l'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_le_mono' 'mat/le_times'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_1'#@#variant 'mat/A_SSO'#@#variant
0. 'coq/Coq_Arith_Max_max_0_l' 'mat/Ztimes_Zone_l'
0. 'coq/Coq_Classes_RelationClasses_eq_equivalence' 'mat/reflexive_eq'
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_0_l' 'mat/rtimes_one_r'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftl_lor' 'mat/times_minus_l'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_pred_l' 'mat/Zplus_Zsucc'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_refl' 'mat/divides_n_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_leb_refl' 'mat/leb_refl'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_lt_mono' 'mat/le_plus'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_0_l' 'mat/Qtimes_Qone_q'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_nonneg'#@#variant 'mat/prime_nth_prime'
0. 'coq/Coq_PArith_BinPos_Pos_min_1_r' 'mat/Qtimes_q_OQ'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_pred_sub' 'mat/plus_n_SO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_max_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div_eucl_spec' 'mat/nat_compare_to_Prop'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_divide_r' 'mat/divides_gcd_m'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_lt_cancel' 'mat/ltS\''
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_1'#@#variant 'mat/B_SSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_max_distr_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_Arith_Plus_plus_assoc_reverse' 'mat/assoc_plus'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_sub_lt' 'mat/eq_div_O'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mod_1_l'#@#variant 'mat/exp_n_O'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_lt_mono' 'mat/lt_plus'
0. 'coq/Coq_Bool_Bool_orb_true_l' 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_nonneg'#@#variant 'mat/lt_SO_nth_prime_n'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_trans' 'mat/trans_divides'
0. 'coq/Coq_Reals_Ranalysis1_continuity_const' 'mat/monotonic_to_injective'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_ltb_irrefl' 'mat/nat_compare_n_n'
0. 'coq/Coq_Structures_OrdersEx_PositiveOrderedTypeBits_eq_equiv'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_max_distr' 'mat/distr_times_plus'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftl_lxor' 'mat/times_minus_l'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_0_succ'#@#variant 'mat/not_nf_elim_not/0'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_T_OMEGA15_stable' 'mat/injective_S'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_sub_mask_diag' 'mat/ltb_refl'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_min_distr_l' 'mat/distr_times_minus'
0. 'coq/Coq_Reals_Raxioms_Rmult_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_le_compat_l' 'mat/le_plus_r'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_2'#@#variant 'mat/A_SSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_le_lin'#@#variant 'mat/lt_sqrt_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_le_preorder'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_glb_lt' 'mat/divides_plus'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftr_ldiff' 'mat/times_plus_l'
0. 'coq/Coq_Arith_Max_max_idempotent' 'mat/orb_refl'
0. 'coq/Coq_ZArith_BinInt_Z_min_max_distr' 'mat/distr_times_minus'
0. 'coq/Coq_PArith_BinPos_Pos_mul_1_l' 'mat/gcd_O_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_assoc' 'mat/assoc_times'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_opp_diag_l' 'mat/orb_not_b_b'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_add_pos_l' 'mat/le_times_n'#@#variant
0. 'coq/Coq_Arith_Plus_plus_lt_compat_r' 'mat/le_plus_l'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_1_l' 'mat/gcd_O_n'
0. 'coq/Coq_NArith_BinNat_N_sub_min_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lcm_1_l'#@#variant 'mat/gcd_O_n'
0. 'coq/Coq_PArith_BinPos_Pos_min_1_r' 'mat/times_n_O'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pos_sub_discr' 'mat/R'
0. 'coq/Coq_ZArith_BinInt_Pos2Z_id' 'mat/factorize_defactorize'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_1_r' 'mat/Qtimes_q_OQ'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_le_lin'#@#variant 'mat/divides_smallest_factor_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_assoc' 'mat/andb_assoc'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_lt_mono' 'mat/divides_times'
0. 'coq/Coq_NArith_BinNat_N_mul_divide_mono_l' 'mat/le_plus_r'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pred_succ' 'mat/pred_Sn'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_nonneg'#@#variant 'mat/prime_nth_prime'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_eqb_refl' 'mat/eqb_n_n'
0. 'coq/Coq_Classes_RelationClasses_eq_Transitive' 'mat/symmetric_eq'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_wf_0' 'mat/antisymmetric_le'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_compare_xO_xO' 'mat/nat_compare_S_S'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_antisymm' 'mat/antisym_le'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_sub_le' 'mat/eq_div_O'
0. 'coq/Coq_NArith_BinNat_N_lt_succ_diag_r' 'mat/lt_n_nth_prime_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_le_mono' 'mat/le_pred'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_sub_r' 'mat/divides_plus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_le_compat' 'mat/lt_times'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_divide/0' 'mat/divides_gcd_n'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_nonneg' 'mat/lt_O_S'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_max_distr_l' 'mat/distr_times_minus'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_sqrt_spec' 'mat/segment_finType'
0. 'coq/Coq_Arith_Min_plus_min_distr_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_PArith_BinPos_Pos_le_min_l' 'mat/divides_gcd_nm/1'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_eq_decidable' 'mat/bool_to_decidable_eq'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_0_r'#@#variant 'mat/exp_n_O0'#@#variant
0. 'coq/Coq_ZArith_Znat_Zabs2N_inj_neg' 'mat/numerator_nat_fact_to_fraction'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_ge_cases' 'mat/not_lt_to_le'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_pos'#@#variant 'mat/prime_smallest_factor_n'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_lt_trans' 'mat/le_to_lt_to_lt'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_log2_log2_up' 'mat/le_times_SSO_n_exp_SSO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_2'#@#variant 'mat/B_SSSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_add_distr_l' 'mat/distr_times_plus'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_le_lin' 'mat/le_pred_n'
0. 'coq/Coq_Reals_Rbasic_fun_Rmin_glb_lt' 'mat/divides_plus'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_0_r' 'mat/plus_n_SO'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_mul' 'mat/Qinv_Qtimes\''
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_leb_refl' 'mat/ltb_refl'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_antisym' 'mat/le_to_le_to_eq'
0. 'coq/Coq_ZArith_BinInt_Z_nle_succ_diag_l' 'mat/not_le_Sn_n'
0. 'coq/Coq_Reals_Rpower_sinh_arcsinh' 'mat/Zpred_Zsucc'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_min_distr' 'mat/distr_times_plus'
0. 'coq/Coq_Reals_RIneq_Rmult_le_compat_r' 'mat/lt_times_l1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_succ_min_distr' 'mat/Zopp_Zplus'
0. 'coq/__constr_Coq_Logic_ClassicalFacts_boolP_0_2' 'mat/daemon'
0. 'coq/Coq_NArith_BinNat_N_min_le_compat_r' 'mat/le_times_l'
0. 'coq/__constr_Coq_Logic_ClassicalFacts_boolP_0_1' 'mat/daemon'
0. 'coq/Coq_Arith_PeanoNat_Nat_lxor_0_l' 'mat/gcd_O_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_mul_mono_r' 'mat/times_minus_l'
0. 'coq/Coq_Reals_RIneq_Rplus_le_compat_r' 'mat/lt_plus_l'
0. 'coq/__constr_Coq_Arith_Even_even_0_2' 'mat/le_SSO_fact'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lcm_0_r' 'mat/times_n_O'
0. 'coq/Coq_ZArith_BinInt_Z_min_glb_lt' 'mat/divides_minus'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_0_l' 'mat/Qtimes_Qone_q'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_odd_succ' 'mat/pos_n_eq_S_n'
0. 'coq/Coq_MSets_MSetPositive_PositiveSet_E_lt_strorder'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_max_distr' 'mat/Zopp_Zplus'
0. 'coq/Coq_ZArith_Zeven_Zeven_mult_Zeven_r' 'mat/lt_O_gcd'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lor_eq_0_l' 'mat/andb_true_true'
0. 'coq/Coq_PArith_BinPos_Pos_le_antisym' 'mat/antisym_le'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lcm_mul_mono_r' 'mat/times_minus_l'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftl_ldiff' 'mat/times_minus_l'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_eq_0_r' 'mat/eq_plus_n_m_O_to_eq_m_O'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_nonneg' 'mat/le_SO_fact'#@#variant
0. 'coq/Coq_NArith_BinNat_N_log2_up_nonneg'#@#variant 'mat/not_nf_elim_not/0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_lor' 'mat/demorgan2'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_sub_r' 'mat/divides_minus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lxor_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_succ_r' 'mat/times_n_Sm'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_pred' 'mat/Zpred_Zsucc'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_sub' 'mat/minus_plus_m_m'
0. 'coq/Coq_PArith_BinPos_Pos_eq_refl'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_Reals_RIneq_Rmult_0_l' 'mat/mod_O_n'
0. 'coq/Coq_NArith_BinNat_N_divide_factor_l' 'mat/le_plus_n_r'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_add_pos_l' 'mat/le_times_n'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_pow_mul_r'#@#variant 'mat/eq_div_div_div_times'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zplus_lt_reg_r' 'mat/lt_plus_to_lt_l'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_eq_sym'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_ZArith_Zeven_Zeven_2p'#@#variant 'mat/lt_SO_nth_prime_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pos_pred_succ' 'mat/numeratorQ_nat_fact_all_to_Q'
0. 'coq/Coq_QArith_Qcanon_Qcle_trans' 'mat/trans_divides'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lcm_0_l' 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lxor_0_l' 'mat/rtimes_one_r'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_nonneg'#@#variant 'mat/not_nf_elim_not/1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_pred' 'mat/Zpred_Zsucc'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_land_assoc' 'mat/assoc_times'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_1'#@#variant 'mat/A_SSSO'#@#variant
0. 'coq/Coq_Reals_Rfunctions_R_dist_eq' 'mat/minus_n_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lxor_0_l' 'mat/Qtimes_Qone_q'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mod_small' 'mat/le_to_mod'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_sub_l' 'mat/divides_gcd_nm/1'
0. 'coq/Coq_Bool_Bool_negb_involutive_reverse' 'mat/Qinv_Qinv'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_glb_lt' 'mat/divides_minus'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrtrem_spec' 'mat/fsort'
0. 'coq/Coq_Reals_RIneq_Rplus_ge_compat_l' 'mat/le_plus_r'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lor_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_Reals_RIneq_Rplus_ge_compat_l' 'mat/le_times_r'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_eq_refl'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_spec_is_even' 'mat/Magma_OF_finite_enumerable_SemiGroup'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_of_Qc_bis' 'mat/sieve_sorted'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_0_succ'#@#variant 'mat/lt_O_S'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_le_compat_l' 'mat/le_times_r'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_le_trans' 'mat/lt_to_le_to_lt'
0. 'coq/Coq_NArith_BinNat_N_succ_max_distr' 'mat/Zopp_Zplus'
0. 'coq/Coq_ZArith_BinInt_Z_lt_succ_diag_r' 'mat/lt_n_nth_prime_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_assoc' 'mat/andbA'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_0_l' 'mat/rtimes_one_r'
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_nonneg' 'mat/le_SO_fact'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_1_l'#@#variant 'mat/gcd_O_n'
0. 'coq/Coq_NArith_BinNat_N_max_id' 'mat/gcd_n_n'
0. 'coq/Coq_ZArith_Zeven_Zodd_pred' 'mat/prime_smallest_factor_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ltb_irrefl' 'mat/eqb_n_n'
0. 'coq/Coq_Reals_Rminmax_R_min_max_distr' 'mat/distr_times_minus'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lcm_0_r' 'mat/times_n_O'
0. 'coq/Coq_Reals_Rbasic_fun_Rmin_glb_lt' 'mat/divides_minus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_0_l' 'mat/Ztimes_Zone_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_land_lor_distr_r' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_antisym' 'mat/antisym_le'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_lt_cancel' 'mat/ltS\''
0. 'coq/Coq_Reals_Rminmax_R_le_min_l' 'mat/le_minus_m'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_ggcd_greatest' 'mat/leb_to_Prop'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_trans' 'mat/trans_divides'
0. 'coq/Coq_ZArith_Zdiv_Zmod_opp_opp' 'mat/Zopp_Zplus'
0. 'coq/Coq_Arith_Min_succ_min_distr' 'mat/Zopp_Zplus'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_0_r'#@#variant 'mat/bc_n_O'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_compare_refl' 'mat/eqb_n_n'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_l' 'mat/le_times_r'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_pos_l' 'mat/lt_O_exp'
0. 'coq/Coq_Reals_RIneq_Ropp_le_ge_contravar' 'mat/divides_fact_fact'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_0_l' 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div_eucl_spec' 'mat/ltb_to_Prop'
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_refl' 'mat/divides_n_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_eq_mul_0_r' 'mat/eq_Qtimes_OQ_to_eq_OQ'
0. 'coq/Coq_ZArith_Zdiv_Zdiv_0_r' 'mat/Qtimes_q_OQ'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_double_twice'#@#variant 'mat/eq_A_A\''
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mod_small' 'mat/lt_to_eq_mod'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftr_shiftr' 'mat/exp_exp_times'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_lt_cancel' 'mat/le_S_S_to_le'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_1'#@#variant 'mat/A_SO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_NArith_BinNat_N_div_eucl_spec' 'mat/leb_to_Prop'
0. 'coq/Coq_NArith_BinNat_N_eq_decidable' 'mat/bool_to_decidable_eq'
0. 'coq/Coq_NArith_BinNat_N_ltb_irrefl' 'mat/nat_compare_n_n'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_strorder'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_transitive'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_eq_sym'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_nonneg'#@#variant 'mat/lt_O_teta'#@#variant
0. 'coq/Coq_Reals_R_sqr_Rsqr_mult' 'mat/Qinv_Qtimes\''
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_min_distr_l' 'mat/distr_times_minus'
0. 'coq/Coq_NArith_BinNat_N_lt_0_succ'#@#variant 'mat/lt_O_S'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_abs_mul' 'mat/Qinv_Qtimes\''
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_lt_cancel' 'mat/lt_S_S_to_lt'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_nonneg'#@#variant 'mat/not_nf_elim_not/0'
0. 'coq/Coq_Arith_Plus_plus_assoc_reverse' 'mat/andb_assoc'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_le_compat' 'mat/divides_times'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_sub_mask_diag' 'mat/ltb_refl'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_pow_gt_1' 'mat/lt_O_exp'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigNeqb_correct' 'mat/leb_true_to_le'
0. 'coq/Coq_NArith_BinNat_N_mul_assoc' 'mat/assoc_times'
0. 'coq/Coq_Arith_Lt_le_not_lt' 'mat/lt_to_not_le'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_assoc' 'mat/assoc_times'
0. 'coq/Coq_ZArith_Znat_Z2N_inj_pos' 'mat/numerator_nat_fact_to_fraction'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_compare_refl' 'mat/eqb_n_n'
0. 'coq/Coq_Reals_RIneq_Rmult_plus_distr_r' 'mat/times_exp'
0. 'coq/Coq_NArith_Nnat_Nat2N_id' 'mat/defactorize_factorize'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_nonneg' 'mat/lt_O_fact'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_le_mono' 'mat/le_pred'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_nonneg' 'mat/lt_O_nth_prime_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_div_factor' 'mat/eq_gcd_div_div_div_gcd'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_min_distr_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_antisymm' 'mat/antisym_le'
0. 'coq/Coq_NArith_BinNat_N_ldiff_ldiff_l' 'mat/eq_minus_minus_minus_plus'
0. 'coq/Coq_QArith_Qreduction_Qred_comp' 'mat/le_S_S'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_succ_l' 'mat/Zplus_Zsucc'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_le_lin'#@#variant 'mat/lt_sqrt_n'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lor_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_1_l' 'mat/exp_SO_n'
0. 'coq/Coq_ZArith_BinInt_Z_le_decidable' 'mat/decidable_le'
0. 'coq/Coq_ZArith_BinInt_Z_succ_max_distr' 'mat/Zopp_Zplus'
0. 'coq/Coq_MMaps_MMapPositive_PositiveMap_E_eq_equiv'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_mul_l' 'mat/times_minus_l'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_nonneg' 'mat/le_SO_fact'#@#variant
0. 'coq/Coq_Reals_Ranalysis4_Rcontinuity_abs' 'mat/injective_nth_prime'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_le_trans' 'mat/trans_le'
0. 'coq/Coq_Init_Datatypes_CompOpp_inj' 'mat/inj_S'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_eq_mul_m1'#@#variant 'mat/plus_n_SO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_shuffle1' 'mat/ab_times_cd'
0. 'coq/Coq_Reals_RIneq_Rplus_ge_compat_r' 'mat/le_plus_l'
0. 'coq/Coq_PArith_BinPos_Pos_mul_max_distr_l' 'mat/distr_times_minus'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_lt_mono' 'mat/divides_times'
0. 'coq/Coq_Reals_RIneq_Rplus_ge_compat_r' 'mat/le_times_l'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lcm_1_r' 'mat/times_n_SO'
0. 'coq/Coq_ZArith_Zdiv_Zmod_1_r'#@#variant 'mat/mod_SO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div2_double' 'mat/Zpred_Zsucc'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_neq_pred_l' 'mat/not_eq_n_Sn'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_sub_l' 'mat/divides_gcd_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_ltb_irrefl' 'mat/leb_refl'
0. 'coq/Coq_ZArith_BinInt_Z_lxor_0_l' 'mat/Qtimes_Qone_q'
0. 'coq/Coq_QArith_Qminmax_Q_max_le_compat' 'mat/lt_times'
0. 'coq/Coq_ZArith_BinInt_Z_land_lor_distr_r' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_0' 'mat/A_SSO'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mul_add_distr_l' 'mat/distr_times_minus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_min_distr_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_MSets_MSetPositive_PositiveSet_E_eq_equiv'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_max_l' 'mat/le_plus_n_r'
0. 'coq/Coq_Arith_PeanoNat_Nat_pred_succ' 'mat/pred_Sn'
0. 'coq/Coq_ZArith_BinInt_Z_mul_0_l' 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_lt_cancel' 'mat/le_S_S_to_le'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftl_ldiff' 'mat/times_minus_l'
0. 'coq/Coq_ZArith_Zorder_Zsucc_le_compat' 'mat/le_to_le_pred'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_max_distr' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_pos'#@#variant 'mat/lt_SO_n_to_lt_O_pred_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_max_distr' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftr_0_l' 'mat/mod_O_n'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_0_r'#@#variant 'mat/bc_n_O'#@#variant
0. 'coq/Coq_Arith_Max_max_0_l' 'mat/rtimes_one_r'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_strorder'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_transitive'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_divide_sub_r' 'mat/divides_minus'
0. 'coq/Coq_Reals_Exp_prop_exp_plus' 'mat/demorgan2'
0. 'coq/Coq_Bool_Bool_negb_involutive_reverse' 'mat/rinv_rinv'
0. 'coq/Coq_Arith_PeanoNat_Nat_eqb_refl' 'mat/leb_refl'
0. 'coq/Coq_ZArith_BinInt_Zmult_minus_distr_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_nonneg'#@#variant 'mat/lt_SO_nth_prime_n'#@#variant
0. 'coq/Coq_Arith_Plus_plus_is_O' 'mat/gcd_O_to_eq_O'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_inj' 'mat/not_eq_S'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_1_r' 'mat/Ztimes_z_OZ'
0. 'coq/Coq_Arith_Peano_dec_dec_eq_nat' 'mat/decidable_eq_Z'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_eq_sym'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_Reals_Exp_prop_exp_pos' 'mat/lt_O_nth_prime_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_1_l' 'mat/Zpred_Zplus_neg_O'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_0_l' 'mat/rtimes_one_r'
0. 'coq/Coq_ZArith_Zorder_Zmult_lt_compat_l'#@#variant 'mat/lt_times_r1'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_lt_cancel' 'mat/ltS\''
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_0' 'mat/eq_OZ_Zopp_OZ'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_mul_l' 'mat/times_plus_l'
0. 'coq/Coq_ZArith_Zorder_Zplus_gt_compat_r' 'mat/le_plus_l'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_succ_diag_r' 'mat/lt_n_nth_prime_n'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_le_compat_l' 'mat/le_plus_r'
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_0_l' 'mat/gcd_O_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_one_succ'#@#variant 'mat/A_SSSO'#@#variant
0. 'coq/Coq_Reals_RIneq_Ropp_involutive' 'mat/opposite_direction_idempotent'
0. 'coq/Coq_Reals_RIneq_Rplus_gt_compat' 'mat/le_times'
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_divide/0' 'mat/divides_gcd_nm/1'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_nonneg'#@#variant 'mat/prime_nth_prime'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_pred_succ' 'mat/Zsucc_Zpred'
0. 'coq/Coq_ZArith_BinInt_Z_pow_le_mono_r' 'mat/le_exp'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_pos'#@#variant 'mat/lt_SO_n_to_lt_O_pred_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrtrem_spec' 'mat/magma0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_lxor_l' 'mat/Zplus_Zsucc'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_0_succ'#@#variant 'mat/not_nf_elim_not/1'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_ltb_irrefl' 'mat/nat_compare_n_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_succ_inj' 'mat/not_eq_S'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_le_mono' 'mat/lt_to_lt_S_S'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_quot_factor' 'mat/eq_div_plus'
0. 'coq/Coq_ZArith_BinInt_Z_pos_sub_diag' 'mat/ltb_refl'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_nonneg_r'#@#variant 'mat/lt_exp1'#@#variant
0. 'coq/Coq_NArith_BinNat_N_divide_transitive'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_Reals_ROrderedType_ROrder_TO_eq_equiv'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sub_le_mono_r' 'mat/le_plus_l'
0. 'coq/Coq_NArith_BinNat_N_le_preorder'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_succ_l' 'mat/Zplus_Zpred'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_pred_l' 'mat/Zplus_Zpred'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_ltb_irrefl' 'mat/ltb_refl'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_peano_ind' 'mat/nat_ind'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_min_distr' 'mat/demorgan2'
0. 'coq/Coq_ZArith_Zquot_Zrem_opp_opp' 'mat/Qinv_Qtimes\''
0. 'coq/Coq_ZArith_BinInt_Z_lnot_m1'#@#variant 'mat/B_SSSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrtrem_spec' 'mat/primeb_to_Prop'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrtrem_spec' 'mat/magma0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_nonneg'#@#variant 'mat/not_nf_elim_not/0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_1_l'#@#variant 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_pos_le'#@#variant 'mat/divides_to_le'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lcm_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_Arith_Even_even_or_odd' 'mat/not_not_bertrand_to_bertrand'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lcm_0_l' 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_1_l'#@#variant 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sub_min_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_Structures_OrdersEx_PositiveOrderedTypeBits_bits_lt_antirefl' 'mat/Not_lt_n_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lcm_diag' 'mat/times_SSO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_ldiff_diag' 'mat/minus_n_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lor_lnot_diag'#@#variant 'mat/Zplus_Zopp'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_succ_r_prime' 'mat/times_n_Sm'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_lcm_r' 'mat/le_plus_n'
0. 'coq/Coq_Arith_PeanoNat_Nat_sub_max_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_max_distr_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_NArith_BinNat_N_max_le_compat_r' 'mat/le_times_l'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_nonneg'#@#variant 'mat/not_nf_elim_not/1'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_glb' 'mat/divides_plus'
0. 'coq/Coq_ZArith_BinInt_Z_log2_up_nonneg'#@#variant 'mat/not_nf_elim_not/1'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_le_mono' 'mat/ltS'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_2'#@#variant 'mat/A_SSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pos_pred_succ' 'mat/defactorize_factorize'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_antisymm' 'mat/le_to_le_to_eq'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_involutive' 'mat/rinv_rinv'
0. 'coq/Coq_ZArith_BinInt_Z_shiftr_lor' 'mat/times_plus_l'
0. 'coq/Coq_ZArith_BinInt_Z_mul_divide_mono_l' 'mat/lt_plus_r'
0. 'coq/Coq_Init_Peano_O_S' 'mat/not_eq_O_S'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_double_inj' 'mat/not_eq_S'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_0_r' 'mat/times_n_O'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_succ_pred_pos' 'mat/S_pred'
0. 'coq/Coq_ZArith_BinInt_Z_divide_lcm_r' 'mat/le_plus_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_assoc' 'mat/andb_assoc'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_le_mono_r'#@#variant 'mat/le_exp'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_lt_cancel' 'mat/lt_S_S_to_lt'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_divide_mono_l' 'mat/lt_plus_r'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_eq_trans'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_add_lt_mono' 'mat/divides_times'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_min_distr' 'mat/Qinv_Qtimes\''
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_nonneg'#@#variant 'mat/lt_O_fact'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lxor_assoc' 'mat/andbA'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_assoc' 'mat/andbA'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_lcm_l' 'mat/le_plus_n_r'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_sqrt_spec' 'mat/PreMonoid_OF_Group'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sub_0_l' 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_NArith_BinNat_N_log2_up_succ_le' 'mat/times_SSO_pred'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_shuffle1' 'mat/ab_times_cd'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftr_0_l' 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_transitive'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_involutive' 'mat/eq_notb_notb_b_b'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_le_lin' 'mat/le_smallest_factor_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lor_assoc' 'mat/assoc_plus'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_le_compat' 'mat/le_times'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_ggcd_greatest' 'mat/eqZb_to_Prop'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_eq_trans'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qcplus_assoc' 'mat/andbA'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_add_distr_l' 'mat/distr_times_plus'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_lt_mono' 'mat/lt_times'
0. 'coq/Coq_Reals_Rminmax_R_max_assoc' 'mat/assoc_times'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_lt_mono' 'mat/divides_times'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_reflexive'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div2_double' 'mat/Zpred_Zsucc'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_div_small' 'mat/eq_div_O'
0. 'coq/Coq_ZArith_Zquot_Zmult_rem_distr_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_land_m1_l'#@#variant 'mat/Ztimes_Zone_l'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_neq_pred_l' 'mat/not_eq_n_Sn'
0. 'coq/Coq_NArith_BinNat_N_lor_0_l' 'mat/Qtimes_Qone_q'
0. 'coq/Coq_Arith_PeanoNat_Nat_max_min_distr' 'mat/distr_times_plus'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_leb_refl' 'mat/nat_compare_n_n'
0. 'coq/Coq_PArith_BinPos_Pos_min_1_l' 'mat/mod_O_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_opp_l' 'mat/Zplus_Zpred'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_0' 'mat/A_SSO'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_add_max_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lor_land_distr_l' 'mat/times_exp'
0. 'coq/Coq_Arith_Mult_mult_assoc_reverse' 'mat/assoc_Ztimes'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lcm_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrtrem_spec' 'mat/num'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_T_OMEGA10_stable' 'mat/monotonic_sqrt'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_max_distr_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mod_small' 'mat/lt_to_eq_mod'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lcm_1_l'#@#variant 'mat/Ztimes_Zone_l'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_nonneg' 'mat/le_SO_fact'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_succ_r_prime' 'mat/exp_S'
0. 'coq/Coq_ZArith_BinInt_Z_ldiff_m1_r'#@#variant 'mat/mod_SO'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrtrem_spec' 'mat/pregroup'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_0_succ' 'mat/lt_O_fact'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sub_le_mono_r' 'mat/le_plus_l'
0. 'coq/Coq_ZArith_BinInt_Z_sub_1_r'#@#variant 'mat/plus_n_SO'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lxor_0_l' 'mat/rtimes_one_r'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_min_distr' 'mat/Qinv_Qtimes\''
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_2_r'#@#variant 'mat/exp_SSO'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lnot_m1'#@#variant 'mat/B_SSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pred_le_mono' 'mat/le_pred'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_sub_lt_add_l' 'mat/lt_minus_to_lt_plus'
0. 'coq/Coq_Reals_R_sqrt_sqrt_pos'#@#variant 'mat/lt_O_S'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_1_l'#@#variant 'mat/mod_O_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lor_land_distr_r' 'mat/distr_times_plus'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_succ_diag_r' 'mat/lt_n_nth_prime_n'
0. 'coq/Coq_Reals_Rtrigo_calc_deg_rad' 'mat/Zsucc_Zpred'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sub_add' 'mat/plus_minus_m_m'
0. 'coq/Coq_Arith_PeanoNat_Nat_min_glb_lt' 'mat/divides_plus'
0. 'coq/Coq_NArith_BinNat_N_add_max_distr_r' 'mat/times_exp'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lcm_0_l' 'mat/mod_O_n'
0. 'coq/Coq_Arith_PeanoNat_Nat_min_le_compat' 'mat/divides_times'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_land_lor_distr_r' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_NArith_BinNat_N_log2_up_nonneg'#@#variant 'mat/lt_O_fact'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_id' 'mat/gcd_n_n'
0. 'coq/Coq_PArith_BinPos_Pos_mul_add_distr_r' 'mat/times_exp'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_max_distr_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_le_compat_l' 'mat/le_plus_r'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_le_compat' 'mat/le_plus'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_E_bits_lt_antirefl' 'mat/Not_lt_n_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_land' 'mat/demorgan2'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_land_lor_distr_l' 'mat/times_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_quot_factor'#@#variant 'mat/eq_gcd_div_div_div_gcd'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_divide_l' 'mat/le_minus_m'
0. 'coq/Coq_QArith_Qcanon_Qcmult_lt_compat_r'#@#variant 'mat/lt_exp1'
0. 'coq/Coq_NArith_BinNat_N_max_assoc' 'mat/assoc_times'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_divide_mono_l' 'mat/le_times_r'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_le_antisym' 'mat/le_to_le_to_eq'
0. 'coq/Coq_NArith_BinNat_N_sqrt_le_mono' 'mat/ltS'
0. 'coq/Coq_ZArith_Zeven_Zquot2_quot'#@#variant 'mat/plus_n_SO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_lxor_l' 'mat/Zplus_Zsucc'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_lt_lin'#@#variant 'mat/lt_sqrt_n'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_sub_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_id' 'mat/orb_refl'
0. 'coq/Coq_ZArith_BinInt_Z_min_le_compat' 'mat/lt_plus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_div2'#@#variant 'mat/lt_sqrt_n'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_add_lt_mono' 'mat/lt_times'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lor_land_distr_l' 'mat/times_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mod_1_r' 'mat/mod_SO'
0. 'coq/__constr_Coq_Classes_CMorphisms_PartialApplication_0_1' 'mat/daemon0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_assoc' 'mat/andb_assoc'
0. 'coq/Coq_Classes_RelationClasses_iff_equivalence' 'mat/impl_trans'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_preorder'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zplus_gt_compat_l' 'mat/lt_plus_r'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_lt_0'#@#variant 'mat/ltn_to_ltO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lcm_1_l'#@#variant 'mat/Ztimes_Zone_l'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sub_min_distr_r' 'mat/times_exp'
0. 'coq/Coq_QArith_Qreduction_Qplus_prime_comp' 'mat/lt_plus'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono' 'mat/le_plus'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_eq_0_r' 'mat/andb_true_true_r'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_2'#@#variant 'mat/A_SSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_min_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_inj' 'mat/inj_S'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_add_distr_l' 'mat/distr_times_minus'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_land_0_l' 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_eq_trans'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_1_succ' 'mat/lt_O_fact'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_id' 'mat/orb_refl'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_compare_refl' 'mat/leb_refl'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_2'#@#variant 'mat/A_SO'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_le_mono' 'mat/le_S_S'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_min_l' 'mat/le_minus_m'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_lcm_r' 'mat/le_plus_n'
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono' 'mat/le_plus'
0. 'coq/Coq_Arith_PeanoNat_Nat_succ_inj' 'mat/not_eq_S'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_min_distr_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_NArith_BinNat_N_le_max_r' 'mat/le_plus_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lxor_0_l' 'mat/Qtimes_Qone_q'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_antisymm' 'mat/le_to_le_to_eq'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_assoc' 'mat/assoc_plus'
0. 'coq/Coq_QArith_QOrderedType_QOrder_le_refl' 'mat/divides_n_n'
0. 'coq/Coq_Arith_Le_le_n_S' 'mat/le_to_le_pred'
0. 'coq/Coq_Reals_ROrderedType_R_as_DT_eq_equiv'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_abs_nonneg' 'mat/lt_O_S'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_eq_trans'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_le_compat_r' 'mat/le_times_l'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_land_lor_distr_l' 'mat/times_exp'
0. 'coq/Coq_NArith_BinNat_N_lcm_mul_mono_l' 'mat/distr_times_minus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_succ_le' 'mat/times_SSO_pred'#@#variant
0. 'coq/Coq_NArith_BinNat_N_mul_sub_distr_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sub_add_distr' 'mat/exp_exp_times'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_le_compat' 'mat/lt_plus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_trans' 'mat/trans_le'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_0_l' 'mat/Ztimes_Zone_l'
0. 'coq/Coq_Arith_Lt_le_lt_or_eq' 'mat/not_eq_to_le_to_lt'
0. 'coq/Coq_QArith_QArith_base_Qnot_lt_le' 'mat/not_lt_to_le'
0. 'coq/Coq_NArith_BinNat_N_neq_succ_diag_r' 'mat/not_eq_n_Sn'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_0' 'mat/eq_OZ_Zopp_OZ'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_land_0_r' 'mat/Ztimes_z_OZ'
0. 'coq/Coq_Bool_Bool_eqb_negb2' 'mat/rtimes_rinv'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_divide_mono_r' 'mat/lt_plus_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sub_max_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftr_lor' 'mat/times_exp'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_lcm_l' 'mat/le_plus_n_r'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_succ_l' 'mat/Zplus_Zpred'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_1_l' 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_nonneg'#@#variant 'mat/not_nf_elim_not/0'
0. 'coq/Coq_Reals_Rtrigo_calc_tan_2PI'#@#variant 'mat/A_SSSO'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_ggcd_correct_divisors' 'mat/leb_to_Prop'
0. 'coq/Coq_NArith_BinNat_N_neq_succ_diag_l' 'mat/not_eq_n_Sn'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_nonneg'#@#variant 'mat/not_nf_elim_not/1'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_le_lin' 'mat/le_smallest_factor_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lcm_1_r' 'mat/div_SO'
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_antisym' 'mat/antisym_le'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_compare_refl' 'mat/eqb_n_n'
0. 'coq/Coq_ZArith_Znat_Zabs2N_abs_N_spec' 'mat/pos_n_eq_S_n'
0. 'coq/Coq_Init_Datatypes_CompOpp_involutive' 'mat/Qinv_Qinv'
0. 'coq/Coq_Reals_RIneq_cond_nonzero' 'mat/not_eq_OZ_pos'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_sqrt_spec' 'mat/primeb_to_Prop'
0. 'coq/Coq_NArith_BinNat_N_add_1_l' 'mat/Zsucc_Zplus_pos_O'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_compare_refl' 'mat/leb_refl'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_min_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_eqb_refl' 'mat/nat_compare_n_n'
0. 'coq/Coq_ZArith_BinInt_Z_ltb_irrefl' 'mat/eqb_n_n'
0. 'coq/Coq_ZArith_BinInt_Z_sgn_mul' 'mat/Zopp_Zplus'
0. 'coq/Coq_ZArith_BinInt_Z_abs_pow' 'mat/Zplus_Zpred'
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_1_l'#@#variant 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_eq_sym'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_MSets_MSetPositive_PositiveSet_E_eq_equiv'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Topp_plus_stable' 'mat/monotonic_A'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lnot_ones' 'mat/orb_not_b_b'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_eq_trans'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_lt_lin'#@#variant 'mat/lt_sqrt_n'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_add_r' 'mat/le_plus_n_r'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_min_le_compat_l' 'mat/le_times_r'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftr_lxor' 'mat/times_minus_l'
0. 'coq/Coq_ZArith_BinInt_Zsucc_pred' 'mat/pred_Sn'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_compare_antisym' 'mat/nat_compare_n_m_m_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_0_l' 'mat/mod_O_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_0_succ' 'mat/lt_O_S'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_pos'#@#variant 'mat/le_SSO_fact'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_max_le_compat_l' 'mat/lt_plus_r'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_lt_cancel' 'mat/lt_S_S_to_lt'
0. 'coq/Coq_NArith_BinNat_N_add_sub_assoc' 'mat/eq_minus_plus_plus_minus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_assoc' 'mat/andbA'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_eq_decidable' 'mat/decidable_eq_Z'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_le_mono' 'mat/le_times'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lcm_assoc' 'mat/assoc_plus'
0. 'coq/Coq_Arith_Plus_plus_assoc_reverse' 'mat/andbA'
0. 'coq/Coq_NArith_BinNat_N_sqrt_le_lin' 'mat/le_smallest_factor_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_le_lin'#@#variant 'mat/divides_smallest_factor_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_le_mono' 'mat/lt_to_lt_S_S'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_nonneg'#@#variant 'mat/lt_O_teta'#@#variant
0. 'coq/Coq_ZArith_BinInt_Zopp_mult_distr_l' 'mat/Zplus_Zpred'
0. 'coq/Coq_NArith_Ndist_Npdist_eq_1' 'mat/nat_compare_n_n'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_land_lor_distr_r' 'mat/distr_times_minus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lor_land_distr_l' 'mat/times_plus_l'
0. 'coq/Coq_Reals_Rtrigo_def_cosh_0' 'mat/A_SSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_0_r'#@#variant 'mat/mod_SO'#@#variant
0. 'coq/Coq_ZArith_Zquot_Zquot_0_l' 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_Reals_Rtrigo_calc_tan_PI' 'mat/B_SSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_divide_l' 'mat/le_minus_m'
0. 'coq/Coq_QArith_QOrderedType_QOrder_lt_irrefl' 'mat/Not_lt_n_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_nonneg'#@#variant 'mat/lt_O_fact'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_add_distr_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_1_r' 'mat/plus_n_SO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_trans' 'mat/trans_le'
0. 'coq/Coq_ZArith_BinInt_Z_b2z_inj' 'mat/inj_pos'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrtrem_spec' 'mat/Magma_OF_Group'
0. 'coq/Coq_NArith_BinNat_N_pow_mul_l' 'mat/times_minus_l'
0. 'coq/Coq_PArith_BinPos_Pos_mul_le_mono' 'mat/le_plus'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_nonneg'#@#variant 'mat/lt_O_nth_prime_n'#@#variant
0. 'coq/Coq_Bool_Bool_andb_assoc' 'mat/assoc_times'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_nonneg' 'mat/lt_O_nth_prime_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_2'#@#variant 'mat/B_SSSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_eq_trans'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_Reals_R_sqrt_Rsqr_sqrt'#@#variant 'mat/S_pred'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_sqrt_spec' 'mat/primeb_to_Prop'
0. 'coq/Coq_PArith_BinPos_Pos_eq_refl'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_0' 'mat/A_SO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_nonneg'#@#variant 'mat/lt_O_fact'#@#variant
0. 'coq/Coq_NArith_BinNat_N_gcd_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_NArith_BinNat_N_neq_succ_0' 'mat/not_eq_O_S'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_le_mono' 'mat/le_S_S'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_nonneg' 'mat/lt_O_S'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_pred_l' 'mat/le_pred_n'
0. 'coq/Coq_PArith_BinPos_Pos_max_le_compat' 'mat/lt_plus'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_min_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_id' 'mat/orb_refl'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_eq_equiv'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_pos'#@#variant 'mat/lt_SO_n_to_lt_O_pred_n'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rle_max_compat_r' 'mat/le_plus_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_1_l'#@#variant 'mat/Qtimes_Qone_q'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_ggcd_greatest' 'mat/nat_compare_to_Prop'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_1'#@#variant 'mat/A_SSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_double_inj' 'mat/inj_S'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sgn_0' 'mat/A_SO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_pred_sub' 'mat/plus_n_SO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_le_mono' 'mat/le_pred'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_nonneg_r' 'mat/lt_exp1'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_min_distr' 'mat/distr_times_plus'
0. 'coq/Coq_ZArith_BinInt_Z_le_max_l' 'mat/le_plus_n_r'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_0' 'mat/eq_OZ_Zopp_OZ'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_1_r' 'mat/plus_n_SO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_assoc' 'mat/assoc_plus'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono' 'mat/le_plus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_eq_0_r' 'mat/andb_true_true_r'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_min_le_compat' 'mat/lt_plus'
0. 'coq/Coq_QArith_QArith_base_Qlt_not_le' 'mat/le_to_not_lt'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_T_OMEGA10_stable' 'mat/increasing_nth_prime'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sgn_0' 'mat/A_SO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_nonneg' 'mat/lt_O_teta'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_compare_antisym' 'mat/nat_compare_n_m_m_n'
0. 'coq/Coq_ZArith_BinInt_Z_add_le_mono' 'mat/le_times'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_eq_sym'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_id' 'mat/orb_refl'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_trans' 'mat/trans_divides'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_le_compat' 'mat/lt_times'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_pos'#@#variant 'mat/lt_SO_n_to_lt_O_pred_n'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_preorder'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_pow_succ_r' 'mat/exp_S'
0. 'coq/Coq_Arith_PeanoNat_Nat_lcm_0_r' 'mat/Qtimes_q_OQ'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_div_lt'#@#variant 'mat/lt_div'#@#variant
0. 'coq/Coq_ZArith_Znat_N_nat_Z' 'mat/numerator_nat_fact_to_fraction'
0. 'coq/Coq_Arith_Gt_gt_n_S' 'mat/le_S_S'
0. 'coq/Coq_ZArith_Zeven_Zeven_Sn' 'mat/lt_SO_n_to_lt_O_pred_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_nonneg'#@#variant 'mat/not_nf_elim_not/0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mod_le'#@#variant 'mat/lt_div'#@#variant
0. 'coq/Coq_NArith_Ndiv_def_Pdiv_eucl_correct' 'mat/eqb_to_Prop'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_2'#@#variant 'mat/A_SO'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_reflexive'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_0_r' 'mat/exp_n_O0'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_le_compat_r' 'mat/lt_plus_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lor_assoc' 'mat/assoc_times'
0. 'coq/Coq_Arith_Factorial_fact_le' 'mat/ltS'
0. 'coq/Coq_NArith_BinNat_N_shiftl_land' 'mat/times_minus_l'
0. 'coq/Coq_PArith_BinPos_Pos_max_1_l' 'mat/gcd_O_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_nonneg' 'mat/lt_O_S'
0. 'coq/Coq_NArith_BinNat_N_le_le_succ_r' 'mat/ltW'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_0_succ'#@#variant 'mat/lt_O_nth_prime_n'#@#variant
0. 'coq/Coq_Reals_RIneq_Rle_0_sqr'#@#variant 'mat/lt_O_fact'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qcplus_0_l'#@#variant 'mat/Ztimes_Zone_l'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_2'#@#variant 'mat/B_SSSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_lt_cancel' 'mat/ltS\''
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_le_mono' 'mat/lt_to_lt_S_S'
0. 'coq/Coq_ZArith_BinInt_Z_opp_min_distr' 'mat/demorgan2'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_sub_r' 'mat/divides_minus'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tmult_plus_distr_stable' 'mat/increasing_nth_prime'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_min_l' 'mat/divides_gcd_n'
0. 'coq/Coq_Reals_Ratan_atan_right_inv' 'mat/pred_Sn'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_trans' 'mat/trans_le'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lcm_0_r' 'mat/Ztimes_z_OZ'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_le_compat_l' 'mat/lt_plus_r'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sub_diag' 'mat/bc_n_n'#@#variant
0. 'coq/Coq_NArith_BinNat_N_log2_up_2'#@#variant 'mat/B_SSSSO'#@#variant
0. 'coq/Coq_QArith_Qminmax_Q_OT_eq_equiv'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_eq_trans'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_ggcd_correct_divisors' 'mat/ltb_to_Prop'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_sqrt_spec' 'mat/magma0'
0. 'coq/Coq_Init_Datatypes_CompOpp_involutive' 'mat/rinv_rinv'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_min_distr_l' 'mat/distr_times_minus'
0. 'coq/Coq_Classes_RelationClasses_iff_equivalence' 'mat/reflexive_iff'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lnot_ones' 'mat/minus_Sn_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mod_1_r'#@#variant 'mat/bc_n_O'#@#variant
0. 'coq/Coq_ZArith_Znat_Nat2Z_inj' 'mat/inj_neg'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_eq_refl'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_2'#@#variant 'mat/B_SSSSO'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_ggcd_correct_divisors' 'mat/R'
0. 'coq/Coq_Reals_RIneq_Rplus_lt_compat' 'mat/lt_plus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lcm_0_l' 'mat/mod_O_n'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sub_0_l' 'mat/mod_O_n'
0. 'coq/Coq_ZArith_BinInt_Z_lcm_0_r' 'mat/Ztimes_z_OZ'
0. 'coq/Coq_ZArith_Znat_positive_nat_Z' 'mat/numerator_nat_fact_to_fraction'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ltb_irrefl' 'mat/nat_compare_n_n'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_le_mono' 'mat/lt_to_lt_S_S'
0. 'coq/Coq_Arith_Min_min_idempotent' 'mat/gcd_n_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_sub_l' 'mat/divides_gcd_nm/1'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_2'#@#variant 'mat/B_SSSO'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_nonneg' 'mat/lt_O_fact'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_sqrt_spec' 'mat/AA'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_lt_cancel' 'mat/le_S_S_to_le'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_le_mono_nonneg_r' 'mat/lt_exp1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_nonneg'#@#variant 'mat/not_nf_elim_not/0'
0. 'coq/Coq_Bool_Bool_orb_andb_distrib_r' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_le_compat' 'mat/lt_times'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_pow_succ_r' 'mat/exp_S'
0. 'coq/Coq_NArith_BinNat_N_eq_sym'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_le_trans' 'mat/lt_to_le_to_lt'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_assoc' 'mat/andbA'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_preorder'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_trans' 'mat/trans_lt'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_id' 'mat/orb_refl'
0. 'coq/Coq_NArith_BinNat_N_two_succ'#@#variant 'mat/B_SSSSO'#@#variant
0. 'coq/Coq_Reals_RList_RList_P27' 'mat/andbA'
0. 'coq/Coq_Reals_Rtrigo_calc_rad_deg' 'mat/pred_Sn'
0. 'coq/Coq_NArith_BinNat_N_sqrt_le_lin' 'mat/le_sqrt_n_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_le_lin' 'mat/le_pred_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_ge_cases' 'mat/not_le_to_lt'
0. 'coq/Coq_NArith_Nnat_N2Nat_inj' 'mat/inj_pos'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_1_succ' 'mat/lt_O_S'
0. 'coq/Coq_ZArith_Znat_N2Z_inj' 'mat/inj_pos'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_lt_lin'#@#variant 'mat/lt_sqrt_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_divide_l' 'mat/divides_gcd_nm/1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_nonneg'#@#variant 'mat/prime_nth_prime'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_up_lt_cancel' 'mat/le_S_S_to_le'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_le_mono' 'mat/le_times'
0. 'coq/Coq_ZArith_BinInt_Z_compare_eq' 'mat/eqb_true_to_eq'
0. 'coq/Coq_Reals_RIneq_IZR_lt' 'mat/lt_to_Zlt_pos_pos'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_nonneg'#@#variant 'mat/lt_O_teta'#@#variant
0. 'coq/Coq_Init_Peano_not_eq_S' 'mat/inj_S'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_le_mono' 'mat/lt_to_lt_S_S'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_ltb_irrefl' 'mat/eqb_n_n'
0. 'coq/Coq_ZArith_Znat_positive_nat_N' 'mat/numerator_nat_fact_to_fraction'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_unique_prime' 'mat/gcd1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_eq_trans'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_le_min_l' 'mat/divides_gcd_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lnot_involutive' 'mat/finv_finv'
0. 'coq/Coq_NArith_BinNat_N_shiftr_0_l' 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_divide_l' 'mat/le_minus_m'
0. 'coq/Coq_PArith_BinPos_Pos_lt_strorder'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_pred_l' 'mat/le_sqrt_n_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_involutive' 'mat/rinv_rinv'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lcm_mul_mono_r' 'mat/times_exp'
0. 'coq/Coq_ZArith_BinInt_Z_eq_sym'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_lt_mono_r'#@#variant 'mat/lt_exp'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pred_max_distr' 'mat/Qinv_Qtimes\''
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_ge_cases' 'mat/not_lt_to_le'
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_l' 'mat/lt_plus_r'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_wf_0' 'mat/antisymmetric_divides'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lcm_1_l'#@#variant 'mat/gcd_O_n'
0. 'coq/Coq_PArith_BinPos_Pos_add_reg_r' 'mat/inj_plus_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_lt_0' 'mat/ltn_to_ltO'
0. 'coq/Coq_QArith_Qcanon_Qcplus_le_compat' 'mat/le_times'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_1_l'#@#variant 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ldiff_m1_r'#@#variant 'mat/bc_n_O'#@#variant
0. 'coq/Coq_NArith_BinNat_N_log2_nonneg'#@#variant 'mat/lt_O_teta'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_le_lin'#@#variant 'mat/lt_sqrt_n'#@#variant
0. 'coq/Coq_Reals_RIneq_cond_nonzero' 'mat/not_eq_numerator_nfa_zero'
0. 'coq/Coq_ZArith_BinInt_Z_shiftr_0_l' 'mat/mod_O_n'
0. 'coq/Coq_Reals_RIneq_IZR_le' 'mat/lt_to_Zlt_pos_pos'
0. 'coq/Coq_Reals_Rpower_exp_inv' 'mat/not_eq_S'
0. 'coq/Coq_QArith_QArith_base_Qlt_irrefl' 'mat/Not_lt_n_n'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_QArith_QOrderedType_QOrder_le_lt_trans' 'mat/le_to_lt_to_lt'
0. 'coq/Coq_Reals_Rbasic_fun_Rmin_assoc' 'mat/assoc_plus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_NArith_BinNat_N_shiftl_lor' 'mat/times_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_add_distr_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_lt_lin'#@#variant 'mat/lt_sqrt_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_mul_r' 'mat/exp_exp_times'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_sub' 'mat/minus_plus_m_m'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_1_r'#@#variant 'mat/Ztimes_z_OZ'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_1_succ' 'mat/lt_O_S'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_neq_0_succ' 'mat/not_eq_O_S'
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_le_mono' 'mat/le_to_le_pred'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_ggcd_greatest' 'mat/nat_compare_to_Prop'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_lor' 'mat/demorgan2'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lor_m1_r'#@#variant 'mat/Qtimes_q_OQ'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_1'#@#variant 'mat/B_SSSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_nonneg' 'mat/lt_O_teta'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_le_mono_nonneg_r'#@#variant 'mat/lt_times_l1'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_divide_mono_r' 'mat/le_times_l'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mod_1_r'#@#variant 'mat/bc_n_O'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_assoc' 'mat/andbA'
0. 'coq/Coq_Bool_Bool_diff_false_true' 'mat/not_eq_true_false'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_m1'#@#variant 'mat/B_SSSO'#@#variant
0. 'coq/Coq_NArith_BinNat_N_ldiff_diag' 'mat/minus_n_n'
0. 'coq/Coq_Arith_PeanoNat_Nat_lor_0_l' 'mat/Qtimes_Qone_q'
0. 'coq/Coq_ZArith_BinInt_Z_lor_land_distr_l' 'mat/times_minus_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_shiftl_lor' 'mat/times_exp'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_lt_cancel' 'mat/ltS\''
0. 'coq/Coq_NArith_BinNat_N_log2_nonneg' 'mat/lt_O_S'
0. 'coq/Coq_NArith_BinNat_N_nle_succ_diag_l' 'mat/not_le_Sn_n'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_shuffle1' 'mat/ab_times_cd'
0. 'coq/Coq_ZArith_Zlogarithm_log_inf_correct1'#@#variant 'mat/sieve_sorted'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_antisym' 'mat/antisym_le'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_eq_0_r' 'mat/andb_true_true_r'
0. 'coq/Coq_Init_Datatypes_unit_ind' 'mat/unit_ind'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_le_lin'#@#variant 'mat/lt_sqrt_n'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_le_compat_r' 'mat/le_times_l'
0. 'coq/Coq_NArith_BinNat_N_le_min_l' 'mat/divides_gcd_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lor_lnot_diag'#@#variant 'mat/rtimes_rinv'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_1'#@#variant 'mat/eq_OZ_Zopp_OZ'
0. 'coq/Coq_PArith_BinPos_Pos_sqrt_spec' 'mat/semigroup'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ggcd_correct_divisors' 'mat/Z_compare_to_Prop'
0. 'coq/Coq_Reals_ROrderedType_R_as_OT_eq_equiv'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_min_distr_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_2'#@#variant 'mat/A_SO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_sub_add' 'mat/divides_to_div'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_divide_mono_r' 'mat/le_plus_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_nonneg'#@#variant 'mat/lt_O_S'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_0_r'#@#variant 'mat/mod_SO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_inj_r' 'mat/inj_exp_r'
0. 'coq/Coq_Strings_Ascii_ascii_nat_embedding' 'mat/numeratorQ_nat_fact_all_to_Q'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_le_mono' 'mat/le_to_le_pred'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sub_diag' 'mat/bc_n_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_assoc' 'mat/assoc_times'
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_Arith_Mult_mult_assoc_reverse' 'mat/assoc_times'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_compare_refl' 'mat/ltb_refl'
0. 'coq/Coq_Arith_PeanoNat_Nat_add_sub_assoc' 'mat/eq_minus_plus_plus_minus'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_spec_is_even' 'mat/denom'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_l' 'mat/lt_to_eq_mod'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_0_l' 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_Reals_RIneq_Rmult_ne/1' 'mat/rtimes_one_r'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_land_assoc' 'mat/assoc_times'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_compare_refl' 'mat/nat_compare_n_n'
0. 'coq/Coq_Arith_PeanoNat_Nat_max_le_compat_r' 'mat/le_times_l'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_eq_1_l' 'mat/andb_true_true'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_min_l' 'mat/divides_gcd_nm/1'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lcm_assoc' 'mat/assoc_times'
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_r' 'mat/lt_plus_l'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tred_factor1_stable' 'mat/injective_S'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_div_eucl_spec' 'mat/leb_to_Prop'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_gcd_divide_r' 'mat/divides_gcd_m'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_lt_lin'#@#variant 'mat/divides_smallest_factor_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_le_mono' 'mat/le_to_le_pred'
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_assoc' 'mat/andbA'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_land_assoc' 'mat/assoc_plus'
0. 'coq/Coq_Arith_Plus_plus_lt_reg_l' 'mat/le_plus_to_le'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_0' 'mat/A_SSO'#@#variant
0. 'coq/Coq_NArith_BinNat_N_min_max_distr' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_QArith_QOrderedType_QOrder_TO_eq_equiv'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ldiff_0_l' 'mat/mod_O_n'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_reflexive'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_div_factor' 'mat/eq_gcd_div_div_div_gcd'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_one_neq_zero' 'mat/not_eq_true_false'
0. 'coq/Coq_Reals_Rpower_arcsinh_0' 'mat/eq_OZ_Zopp_OZ'
0. 'coq/Coq_NArith_BinNat_N_le_succ_diag_r' 'mat/le_n_fact_n'
0. 'coq/Coq_ZArith_Zquot_Zquot_0_r' 'mat/Ztimes_z_OZ'
0. 'coq/Coq_Classes_RelationClasses_iff_equivalence' 'mat/transitive_iff'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_le_trans' 'mat/lt_to_le_to_lt'
0. 'coq/Coq_ZArith_BinInt_Z_sub_max_distr_r' 'mat/times_exp'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sub_succ_l' 'mat/minus_Sn_m'
0. 'coq/Coq_QArith_Qcanon_Qcopp_involutive' 'mat/Zopp_Zopp'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_le_lin' 'mat/le_pred_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_0' 'mat/A_SO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_ge_cases' 'mat/not_le_to_lt'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_2'#@#variant 'mat/A_SSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_min_le_compat' 'mat/divides_times'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_sub_distr_r' 'mat/times_exp'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_le_lin'#@#variant 'mat/divides_smallest_factor_n'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lxor_m1_r'#@#variant 'mat/plus_n_SO'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftl_shiftl' 'mat/exp_exp_times'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_pow2'#@#variant 'mat/S_pred'#@#variant
0. 'coq/Coq_Reals_Rminmax_R_min_glb' 'mat/divides_plus'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_assoc' 'mat/assoc_plus'
0. 'coq/Coq_NArith_BinNat_N_eq_equiv'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_T_OMEGA16_stable' 'mat/injective_S'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_double_twice'#@#variant 'mat/eq_A_A\''
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_nonneg'#@#variant 'mat/lt_O_teta'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qcle_refl' 'mat/divides_n_n'
0. 'coq/Coq_ZArith_BinInt_Z_eq_trans'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lor_land_distr_l' 'mat/times_exp'
0. 'coq/Coq_Arith_Gt_gt_n_S' 'mat/lt_to_lt_S_S'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_strorder'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_assoc' 'mat/assoc_plus'
0. 'coq/Coq_NArith_BinNat_N_pow_gt_lin_r'#@#variant 'mat/lt_m_exp_nm'#@#variant
0. 'coq/Coq_Init_Peano_le_n_S' 'mat/le_pred'
0. 'coq/Coq_NArith_BinNat_N_div_eucl_spec' 'mat/eqfb_to_Prop'
0. 'coq/Coq_Init_Peano_le_pred' 'mat/lt_to_lt_S_S'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_lt_lin'#@#variant 'mat/divides_smallest_factor_n'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_0_r'#@#variant 'mat/mod_SO'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_le_mono' 'mat/lt_to_lt_S_S'
0. 'coq/Coq_NArith_BinNat_N_gcd_eq_0_r' 'mat/eq_plus_n_m_O_to_eq_m_O'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_le_mono' 'mat/le_to_le_pred'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_1_l'#@#variant 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_even_succ' 'mat/pos_n_eq_S_n'
0. 'coq/Coq_PArith_BinPos_Pos_eq_trans'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_max_le_compat_r' 'mat/lt_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_2'#@#variant 'mat/A_SSO'#@#variant
0. 'coq/Coq_Arith_Max_max_idempotent' 'mat/gcd_n_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_2'#@#variant 'mat/B_SSSSO'#@#variant
0. 'coq/Coq_NArith_BinNat_N_gcd_mul_mono_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Classes_RelationClasses_RewriteRelation_instance_1' 'mat/impl_refl'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_assoc' 'mat/andb_assoc'
0. 'coq/Coq_ZArith_BinInt_Z_lt_strorder'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_Classes_RelationClasses_RewriteRelation_instance_0' 'mat/impl_refl'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_l2i_i2l'#@#variant 'mat/defactorize_factorize'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_min_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_pos'#@#variant 'mat/le_SSO_fact'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_R1' 'mat/A_SO'#@#variant
0. 'coq/Coq_Arith_Mult_mult_lt_compat_r'#@#variant 'mat/lt_exp1'#@#variant
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_R0' 'mat/A_SO'#@#variant
0. 'coq/Coq_ZArith_Zpow_alt_Zpower_alt_0_r'#@#variant 'mat/exp_n_O0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_min_l' 'mat/divides_gcd_nm/1'
0. 'coq/Coq_ZArith_BinInt_Z_succ_pred' 'mat/pred_Sn'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_compare_succ' 'mat/nat_compare_S_S'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_assoc' 'mat/assoc_times'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_1_r'#@#variant 'mat/le_n_O_to_eq'
0. 'coq/Coq_QArith_Qcanon_Qclt_trans' 'mat/trans_le'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrtrem_spec' 'mat/primeb_to_Prop'
0. 'coq/Coq_ZArith_BinInt_Z_pred_inj' 'mat/inj_S'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ggcd_correct_divisors' 'mat/eqfb_to_Prop'
0. 'coq/Coq_ZArith_BinInt_Z_le_sqrt_sqrt_up' 'mat/le_B_A'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_min_distr_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Structures_OrdersEx_PositiveOrderedTypeBits_bits_lt_trans' 'mat/trans_lt'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_ge_cases' 'mat/not_le_to_lt'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_preorder'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_le_compat' 'mat/le_plus'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_le_compat_l' 'mat/le_times_r'
0. 'coq/Coq_ZArith_BinInt_Z_le_succ_diag_r' 'mat/le_n_fact_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pred_le_mono' 'mat/lt_to_lt_S_S'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lor_land_distr_l' 'mat/times_minus_l'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sub_0_l' 'mat/mod_O_n'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_strorder'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_Classes_RelationClasses_iff_Reflexive' 'mat/transitive_iff'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_even_aux' 'mat/magma0'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrtrem_spec' 'mat/Magma_OF_finite_enumerable_SemiGroup'
0. 'coq/Coq_ZArith_BinInt_Z_min_id' 'mat/gcd_n_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_succ_pred_pos' 'mat/S_pred'
0. 'coq/Coq_QArith_Qminmax_Q_max_le_compat_r' 'mat/le_plus_l'
0. 'coq/Coq_ZArith_Znat_Nat2Z_is_nonneg'#@#variant 'mat/sieve_sorted'#@#variant
0. 'coq/Coq_NArith_BinNat_N_le_preorder'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_le_mono_nonneg_r' 'mat/lt_times_l1'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_eq_decidable' 'mat/decidable_lt'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_max_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_0_succ'#@#variant 'mat/not_nf_elim_not/0'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_lt_mono' 'mat/divides_times'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_le_compat_r' 'mat/le_plus_l'
0. 'coq/Coq_NArith_BinNat_N_lor_land_distr_r' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_wf_0' 'mat/antisymmetric_divides'
0. 'coq/Coq_NArith_BinNat_N_mul_add_distr_l' 'mat/distr_times_minus'
0. 'coq/Coq_Reals_R_sqrt_sqrt_lt_0_alt' 'mat/lt_S_S_to_lt'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_mul' 'mat/Zopp_Zplus'
0. 'coq/Coq_Reals_Rminmax_R_OT_eq_equiv'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_max_distr_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_ZArith_Zorder_Zplus_le_compat_l' 'mat/le_plus_r'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_max_distr_l' 'mat/distr_times_minus'
0. 'coq/Coq_PArith_BinPos_Pos_le_trans' 'mat/trans_le'
0. 'coq/Coq_Classes_RelationClasses_iff_Reflexive' 'mat/symmetric_iff'
0. 'coq/Coq_Reals_Rtrigo_calc_rad_deg' 'mat/Zsucc_Zpred'
0. 'coq/Coq_Arith_Gt_gt_Sn_n' 'mat/le_smallest_factor_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lor_0_l' 'mat/rtimes_one_r'
0. 'coq/Coq_PArith_BinPos_Pos_eq_trans'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_min_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_assoc' 'mat/andb_assoc'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_assoc' 'mat/andb_assoc'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_gcd_divide_l' 'mat/divides_gcd_nm/1'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_pos_r'#@#variant 'mat/lt_O_gcd'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_succ_min_distr' 'mat/Qinv_Qtimes\''
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_eq_sym'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_lt_succ' 'mat/ltW'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_le_compat' 'mat/le_plus'
0. 'coq/Coq_NArith_BinNat_N_land_assoc' 'mat/andbA'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_succ_m1'#@#variant 'mat/B_SSSSO'#@#variant
0. 'coq/Coq_Init_Datatypes_CompOpp_inj' 'mat/not_eq_S'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_leb_refl' 'mat/eqb_n_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_decidable' 'mat/decidable_le'
0. 'coq/Coq_Arith_Max_max_assoc' 'mat/andb_assoc'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_2'#@#variant 'mat/A_SSSO'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_le_trans' 'mat/trans_le'
0. 'coq/Coq_MSets_MSetPositive_PositiveSet_E_eq_equiv'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_land_0_l' 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_glb_lt' 'mat/divides_minus'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mod_1_r'#@#variant 'mat/exp_n_O0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_lt_mono' 'mat/le_times'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_le_mono' 'mat/le_plus'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_max_distr' 'mat/distr_times_minus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_add_max_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_r' 'mat/lt_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_compare_antisym' 'mat/nat_compare_n_m_m_n'
0. 'coq/Coq_Arith_Factorial_lt_O_fact' 'mat/lt_O_nth_prime_n'
0. 'coq/Coq_Reals_Rminmax_R_minus_max_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_Reals_RIneq_IZR_ge' 'mat/lt_to_Zlt_pos_pos'
0. 'coq/Coq_PArith_BinPos_Pos_succ_not_1' 'mat/not_eq_O_S'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_opp_diag_l' 'mat/orb_not_b_b'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_le_mono_r' 'mat/lt_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_assoc' 'mat/assoc_plus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_decidable' 'mat/decidable_le'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lor_land_distr_l' 'mat/times_exp'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_b2z_inj' 'mat/inj_pos'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_min_distr' 'mat/Qinv_Qtimes\''
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_glb' 'mat/divides_minus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_land_assoc' 'mat/assoc_plus'
0. 'coq/Coq_QArith_Qabs_Qabs_nonneg'#@#variant 'mat/lt_O_S'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_nonneg'#@#variant 'mat/prime_nth_prime'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrtrem_spec' 'mat/segment_finType'
0. 'coq/Coq_PArith_BinPos_Pos_mul_max_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_max_distr_r' 'mat/times_exp'
0. 'coq/Coq_Arith_PeanoNat_Nat_lnot_ones' 'mat/minus_Sn_n'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_eq_decidable' 'mat/bool_to_decidable_eq'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_eq_refl'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_succ_pred'#@#variant 'mat/divides_max_prime_factor_n'#@#variant
0. 'coq/Coq_Reals_Ranalysis1_continuity_const' 'mat/increasing_to_injective'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pred_0' 'mat/A_SSO'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_nonneg'#@#variant 'mat/not_nf_elim_not/1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_divide_r' 'mat/divides_gcd_m'
0. 'coq/Coq_Arith_PeanoNat_Nat_divide_pos_le' 'mat/divides_to_le'
0. 'coq/Coq_ZArith_Znumtheory_prime_ge_2'#@#variant 'mat/prime_to_lt_O'
0. 'coq/Coq_QArith_Qround_Qfloor_Z' 'mat/factorize_defactorize'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_land_assoc' 'mat/andb_assoc'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_opp_l' 'mat/Zplus_Zsucc'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_0_r' 'mat/Qtimes_q_OQ'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lor_land_distr_r' 'mat/distr_times_plus'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_sub_mask_diag' 'mat/leb_refl'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_eq_mul_0_r' 'mat/eq_Qtimes_OQ_to_eq_OQ'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pow_mul_l' 'mat/times_exp'
0. 'coq/Coq_QArith_QArith_base_Qlt_le_weak' 'mat/lt_to_le'
0. 'coq/Coq_NArith_BinNat_N_lxor_assoc' 'mat/andbA'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_add_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_0_l' 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_max_distr_r' 'mat/times_exp'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_nonneg'#@#variant 'mat/not_nf_elim_not/1'
0. 'coq/Coq_NArith_BinNat_N_mul_max_distr_r' 'mat/times_exp'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_1'#@#variant 'mat/B_SSSO'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_succ_diag_r' 'mat/lt_n_nth_prime_n'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_pow2'#@#variant 'mat/divides_max_prime_factor_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_le_compat' 'mat/lt_plus'
0. 'coq/Coq_Arith_PeanoNat_Nat_min_glb' 'mat/divides_minus'
0. 'coq/Coq_ZArith_BinInt_Z_gcd_assoc' 'mat/andb_assoc'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_max_distr' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_simpl_r' 'mat/minus_plus_m_m'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_ltb_irrefl' 'mat/ltb_refl'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lcm_0_l' 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_min_glb_lt' 'mat/divides_plus'
0. 'coq/Coq_PArith_BinPos_Pos_lt_1_succ' 'mat/lt_O_teta'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_compare_refl' 'mat/leb_refl'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftl_0_l' 'mat/mod_O_n'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_nle_succ_diag_l' 'mat/not_le_Sn_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_lt_mono_r'#@#variant 'mat/le_exp'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_mod_1_r'#@#variant 'mat/exp_n_O0'#@#variant
0. 'coq/Coq_QArith_QOrderedType_QOrder_TO_eq_equiv'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_assoc' 'mat/andbA'
0. 'coq/Coq_NArith_BinNat_N_log2_2'#@#variant 'mat/A_SSSO'#@#variant
0. 'coq/Coq_NArith_BinNat_N_lxor_0_l' 'mat/Ztimes_Zone_l'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_eqb_refl' 'mat/leb_refl'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_double_mul' 'mat/Zplus_Zsucc'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_add_r' 'mat/exp_plus_times'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_succ_r' 'mat/plus_n_Sm'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lor_land_distr_l' 'mat/times_plus_l'
0. 'coq/Coq_Reals_Rtrigo1_SIN_bound/0'#@#variant 'mat/lt_O_teta'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_assoc' 'mat/andb_assoc'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_min_distr_l' 'mat/distr_times_plus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_assoc' 'mat/andb_assoc'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tmult_plus_distr_stable' 'mat/injective_S'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zplus_gt_compat_r' 'mat/le_times_l'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_pow2'#@#variant 'mat/S_pred'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_double_inj' 'mat/inj_S'
0. 'coq/Coq_QArith_QArith_base_Qlt_not_le' 'mat/lt_to_not_le'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_min_distr_l' 'mat/distr_times_minus'
0. 'coq/Coq_Arith_EqNat_beq_nat_eq' 'mat/same_atom_to_eq'
0. 'coq/Coq_NArith_BinNat_N_le_add_le_sub_r' 'mat/le_plus_to_minus_r'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_log2_log2_up' 'mat/le_B_A'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_succ_inj' 'mat/not_eq_S'
0. 'coq/Coq_Reals_RIneq_Rplus_ge_reg_l' 'mat/le_plus_to_le'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_land_0_r' 'mat/times_n_O'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_succ_le' 'mat/times_SSO_pred'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_div_eucl' 'mat/leb_to_Prop'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_add_distr_l' 'mat/distr_times_minus'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mod_1_r'#@#variant 'mat/mod_SO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lor_0_l' 'mat/gcd_O_n'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_sqrt_spec' 'mat/premonoid'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_le_mono' 'mat/le_S_S'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_lt_mono' 'mat/divides_times'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_succ_inj' 'mat/not_eq_S'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_add_r' 'mat/divides_plus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_0_l' 'mat/gcd_O_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_preorder'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_min_distr_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_ZArith_Zpower_two_p_correct'#@#variant 'mat/eq_B_B1'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftl_lxor' 'mat/times_exp'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_square_nonneg'#@#variant 'mat/id_axiom'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftr_lor' 'mat/times_plus_l'
0. 'coq/Coq_Reals_Rminmax_R_plus_max_distr_l' 'mat/distr_times_plus'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_1_l' 'mat/Qtimes_Qone_q'
0. 'coq/Coq_Reals_RIneq_Rplus_gt_compat' 'mat/divides_times'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_abs_nonneg'#@#variant 'mat/lt_O_nth_prime_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_min_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_mul_l' 'mat/times_exp'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_quotrem_eq' 'mat/R'
0. 'coq/Coq_Structures_OrdersEx_PositiveOrderedTypeBits_eq_equiv'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_nonneg' 'mat/lt_O_nth_prime_n'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_eqb_refl' 'mat/nat_compare_n_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_glb' 'mat/divides_minus'
0. 'coq/Coq_ZArith_BinInt_Z_add_assoc' 'mat/assoc_times'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_eq_trans'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_Logic_ClassicalFacts_FalseP' 'mat/daemon1'
0. 'coq/Coq_Reals_Rtrigo1_SIN_bound/0'#@#variant 'mat/lt_O_S'
0. 'coq/Coq_PArith_BinPos_Pos_ggcd_greatest' 'mat/eqb_to_Prop'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_eq_sym'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_nonneg' 'mat/le_SO_fact'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_le_compat_l' 'mat/le_plus_r'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_nonneg'#@#variant 'mat/not_nf_elim_not/0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_le_compat_r' 'mat/lt_plus_l'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_succ_inj' 'mat/lt_S_S_to_lt'
0. 'coq/Coq_ZArith_Zorder_Zle_0_pos'#@#variant 'mat/sieve_sorted'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_lt_mono' 'mat/le_times'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_eqb_refl' 'mat/nat_compare_n_n'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_add_distr_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_unique_prime' 'mat/gcd1'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_decidable' 'mat/decidable_le'
0. 'coq/Coq_NArith_BinNat_N_gcd_0_l' 'mat/gcd_O_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_assoc' 'mat/assoc_times'
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_eq_0_r' 'mat/eq_plus_n_m_O_to_eq_m_O'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_square_spec' 'mat/times_SSO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_eq_0_r' 'mat/eq_Qtimes_OQ_to_eq_OQ'
0. 'coq/Coq_Reals_Rminmax_R_minus_min_distr_l' 'mat/exp_plus_times'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_min_r' 'mat/divides_gcd_nm/0'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_pos_r'#@#variant 'mat/lt_O_gcd'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_min_l' 'mat/divides_gcd_nm/1'
0. 'coq/Coq_NArith_BinNat_N_shiftl_0_l' 'mat/mod_O_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_gt_cases' 'mat/not_lt_to_le'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_max_distr' 'mat/distr_times_minus'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_pos'#@#variant 'mat/lt_SO_n_to_lt_O_pred_n'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_land_0_r' 'mat/times_n_O'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_leb_refl' 'mat/ltb_refl'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_reg_l' 'mat/inj_plus_r'
0. 'coq/Coq_Setoids_Setoid_gen_st' 'mat/transitive_eq'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_1_r'#@#variant 'mat/Ztimes_z_OZ'
0. 'coq/Coq_ZArith_BinInt_Z_log2_nonneg'#@#variant 'mat/prime_nth_prime'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_min_distr' 'mat/distr_times_plus'
0. 'coq/Coq_QArith_Qcanon_Qcplus_le_compat' 'mat/lt_times'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_succ_l' 'mat/Zplus_Zsucc'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_le_mono' 'mat/ltS'
0. 'coq/Coq_Reals_RIneq_Ropp_0_ge_le_contravar'#@#variant 'mat/prime_smallest_factor_n'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_succ_pred' 'mat/Zsucc_Zpred'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftl_lxor' 'mat/times_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_abs_mul' 'mat/Zopp_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftr_land' 'mat/times_minus_l'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_nonneg' 'mat/lt_O_S'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_0' 'mat/eq_OZ_Zopp_OZ'
0. 'coq/Coq_PArith_BinPos_Pos_lt_succ_diag_r' 'mat/lt_n_nth_prime_n'
0. 'coq/Coq_ZArith_Zdiv_Zdiv_opp_opp' 'mat/minus_S_S'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_le_min_r' 'mat/divides_gcd_m'
0. 'coq/Coq_Arith_PeanoNat_Nat_sub_add_distr' 'mat/eq_minus_minus_minus_plus'
0. 'coq/Coq_NArith_BinNat_N_lt_decidable' 'mat/decidable_le'
0. 'coq/Coq_ZArith_Zeven_Zeven_2p'#@#variant 'mat/not_nf_elim_not/1'
0. 'coq/Coq_ZArith_BinInt_Z_le_sqrt_sqrt_up' 'mat/le_times_SSO_n_exp_SSO_n'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_mul_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_Reals_RIneq_Rlt_or_le' 'mat/not_le_to_lt'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_divide_l' 'mat/divides_gcd_nm/1'
0. 'coq/Coq_Init_Peano_le_S_n' 'mat/le_S_S_to_le'
0. 'coq/Coq_ZArith_BinInt_Z_divide_reflexive'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_involutive' 'mat/eq_notb_notb_b_b'
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_assoc' 'mat/andb_assoc'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_nonneg'#@#variant 'mat/lt_SO_nth_prime_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_sub_distr_l' 'mat/distr_times_plus'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_lt_cancel' 'mat/lt_S_S_to_lt'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_factor_r' 'mat/le_plus_n'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_spec_is_even' 'mat/OZ_test_to_Prop'
0. 'coq/Coq_ZArith_Zlogarithm_ZERO_le_N_digits' 'mat/lt_O_fact'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_le_compat_l' 'mat/lt_plus_r'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_neq_succ_diag_r' 'mat/not_eq_n_Sn'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_le_mono' 'mat/le_to_le_pred'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_nonneg'#@#variant 'mat/lt_SO_nth_prime_n'#@#variant
0. 'coq/Coq_QArith_QArith_base_Qnot_le_lt' 'mat/not_le_to_lt'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_0_succ' 'mat/lt_O_fact'
0. 'coq/Coq_PArith_BinPos_Pos_sub_mask_diag' 'mat/nat_compare_n_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_le_mono' 'mat/le_pred'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_leb_refl' 'mat/leb_refl'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_le_lin'#@#variant 'mat/lt_sqrt_n'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_div_lt' 'mat/lt_div'
0. 'coq/Coq_QArith_QOrderedType_Q_as_DT_eq_equiv'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_ldiff_0_l' 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_le_mono' 'mat/ltS'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_1'#@#variant 'mat/A_SSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_compare_refl' 'mat/nat_compare_n_n'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_eq_refl'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_assoc' 'mat/andb_assoc'
0. 'coq/Coq_Arith_Max_max_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_neq_succ_diag_l' 'mat/not_eq_n_Sn'
0. 'coq/Coq_Reals_Ratan_atan_increasing' 'mat/lt_to_lt_S_S'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_0_r' 'mat/divides_n_O'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_0' 'mat/eq_OZ_Zopp_OZ'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_max_id' 'mat/orb_refl'
0. 'coq/Coq_Reals_Rbasic_fun_Rmin_assoc' 'mat/andb_assoc'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_0_r' 'mat/bc_n_O'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lcm_0_l' 'mat/mod_O_n'
0. 'coq/Coq_Arith_Minus_plus_minus' 'mat/plus_to_minus'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftr_lor' 'mat/times_plus_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_reflexive'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_succ_discr' 'mat/not_eq_n_Sn'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_divide_r' 'mat/divides_gcd_nm/0'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_eq_equiv'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_1_l'#@#variant 'mat/Qtimes_Qone_q'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_eq_refl'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_0_r'#@#variant 'mat/bc_n_O'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_sub_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_leb_refl' 'mat/nat_compare_n_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_le_compat' 'mat/lt_times'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_div_lt'#@#variant 'mat/lt_div'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_one_succ'#@#variant 'mat/B_SSSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mod_1_r'#@#variant 'mat/bc_n_O'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_max_distr_r' 'mat/times_exp'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_spec_is_even' 'mat/Magma_OF_PreGroup'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lt_add_pos_r'#@#variant 'mat/O_lt_const_to_le_times_const'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_nonneg' 'mat/lt_O_S'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_T_OMEGA11_stable' 'mat/monotonic_sqrt'#@#variant
0. 'coq/Coq_NArith_BinNat_N_min_max_distr' 'mat/distr_times_minus'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_add_r' 'mat/divides_plus'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_pred_l' 'mat/le_pred_n'
0. 'coq/Coq_ZArith_BinInt_Z_abs_0' 'mat/A_SSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_1_l' 'mat/exp_SO_n'
0. 'coq/Coq_ZArith_BinInt_Z_add_max_distr_l' 'mat/distr_times_plus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_involutive' 'mat/Zopp_Zopp'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_add_r' 'mat/divides_plus'
0. 'coq/Coq_Arith_Plus_plus_le_compat' 'mat/le_plus'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftr_ldiff' 'mat/times_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_neq_succ_0' 'mat/not_eq_O_S'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_1'#@#variant 'mat/A_SSO'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lor_land_distr_r' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_le_lt_mono' 'mat/le_to_lt_to_plus_lt'
0. 'coq/Coq_Reals_RIneq_Rgt_not_ge' 'mat/lt_to_not_le'
0. 'coq/Coq_NArith_Ndist_ni_min_assoc' 'mat/assoc_times'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_0_l' 'mat/Qtimes_Qone_q'
0. 'coq/Coq_Reals_RIneq_eq_IZR' 'mat/inj_pos'
0. 'coq/Coq_NArith_BinNat_N_add_pos_l' 'mat/lt_O_exp'
0. 'coq/Coq_ZArith_BinInt_Z_gcd_assoc' 'mat/andbA'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_1'#@#variant 'mat/A_SO'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zge_trans' 'mat/trans_le'
0. 'coq/Coq_PArith_BinPos_Pos_compare_xO_xO' 'mat/nat_compare_S_S'
0. 'coq/Coq_Arith_Compare_dec_nat_compare_Lt_lt' 'mat/leb_true_to_le'
0. 'coq/Coq_NArith_BinNat_N_div_lt'#@#variant 'mat/lt_div'#@#variant
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_spec_is_even' 'mat/num'
0. 'coq/Coq_NArith_BinNat_N_le_succ_diag_r' 'mat/lt_n_nth_prime_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_div2_div'#@#variant 'mat/plus_n_SO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_max_distr_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftr_land' 'mat/times_exp'
0. 'coq/Coq_NArith_BinNat_N_lt_sub_lt_add_r' 'mat/le_plus_to_minus_r'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_nonneg'#@#variant 'mat/lt_O_fact'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_nonneg' 'mat/lt_O_S'
0. 'coq/Coq_Reals_Raxioms_Rplus_assoc' 'mat/assoc_plus'
0. 'coq/Coq_QArith_QOrderedType_Q_as_OT_eq_equiv'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_le_mono' 'mat/ltS'
0. 'coq/Coq_Arith_Div2_div2_double'#@#variant 'mat/Zsucc_Zpred'
0. 'coq/Coq_Reals_Raxioms_Rplus_lt_compat_l' 'mat/lt_plus_r'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_preorder'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_nonneg'#@#variant 'mat/lt_O_nth_prime_n'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_mul_lt_mono' 'mat/lt_plus'
0. 'coq/Coq_Bool_Bool_orb_negb_r' 'mat/rtimes_rinv'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_sqrt_spec' 'mat/Magma_OF_Monoid'
0. 'coq/Coq_NArith_BinNat_N_mul_divide_mono_l' 'mat/lt_plus_r'
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_nonneg_l'#@#variant 'mat/lt_exp'#@#variant
0. 'coq/Coq_NArith_BinNat_N_le_0_l' 'mat/divides_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_nonneg'#@#variant 'mat/not_nf_elim_not/0'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_Even_or_Odd' 'mat/not_not_bertrand_to_bertrand'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_gt_cases' 'mat/not_lt_to_le'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_lt_trans' 'mat/le_to_lt_to_lt'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_le_mono_l' 'mat/le_times_l'
0. 'coq/Coq_ZArith_BinInt_Z_gcd_eq_0_l' 'mat/andb_true_true'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_assoc' 'mat/andb_assoc'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_1_l' 'mat/Zsucc_Zplus_pos_O'
0. 'coq/Coq_NArith_BinNat_N_log2_le_mono' 'mat/lt_to_lt_S_S'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lor_land_distr_l' 'mat/times_minus_l'
0. 'coq/Coq_Arith_PeanoNat_Nat_le_trans' 'mat/trans_divides'
0. 'coq/Coq_Init_Peano_f_equal_pred' 'mat/congr_S'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_up_lt_lin'#@#variant 'mat/divides_smallest_factor_n'#@#variant
0. 'coq/Coq_NArith_Ndist_ni_min_inf_l' 'mat/Qtimes_Qone_q'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lcm_mul_mono_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftr_land' 'mat/times_minus_l'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lor_assoc' 'mat/andb_assoc'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mod_1_r'#@#variant 'mat/mod_SO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_le_mono' 'mat/lt_to_lt_S_S'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_sub_assoc' 'mat/eq_minus_plus_plus_minus'
0. 'coq/Coq_ZArith_BinInt_Z_lor_diag' 'mat/orb_refl'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lxor_0_l' 'mat/rtimes_one_r'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_max_distr_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_NArith_BinNat_N_lxor_nilpotent' 'mat/minus_n_n'
0. 'coq/Coq_ZArith_BinInt_Zmult_assoc_reverse' 'mat/andbA'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_le_compat_l' 'mat/le_plus_r'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lcm_1_l' 'mat/Zpred_Zplus_neg_O'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_log2_log2_up' 'mat/le_times_SSO_n_exp_SSO_n'#@#variant
0. 'coq/Coq_Reals_Rpower_arcsinh_0' 'mat/A_SO'#@#variant
0. 'coq/Coq_Reals_R_sqrt_sqrt_pos'#@#variant 'mat/lt_O_nth_prime_n'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_carry_reg_l' 'mat/inj_plus_r'
0. 'coq/Coq_Arith_PeanoNat_Nat_eqb_refl' 'mat/eqb_n_n'
0. 'coq/Coq_Reals_ROrderedType_R_as_DT_eq_equiv'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_ZArith_Zdiv_Zmod_1_l'#@#variant 'mat/exp_n_O'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_succ_le' 'mat/times_SSO_pred'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_mul_add_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_succ_le' 'mat/times_SSO_pred'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_add_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_divide_lcm_r' 'mat/le_plus_n'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_le_mono' 'mat/le_S_S'
0. 'coq/Coq_QArith_QArith_base_Qcompare_antisym' 'mat/nat_compare_n_m_m_n'
0. 'coq/Coq_QArith_Qabs_Qabs_nonneg'#@#variant 'mat/lt_O_fact'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_le_mono' 'mat/lt_plus'
0. 'coq/Coq_NArith_BinNat_N_add_0_l' 'mat/Ztimes_Zone_l'
0. 'coq/Coq_NArith_BinNat_N_double_inj' 'mat/inj_S'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_eqb_refl' 'mat/ltb_refl'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_add_le_sub_r' 'mat/le_plus_to_minus_r'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_lt_mono' 'mat/divides_times'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_lt_mono' 'mat/divides_times'
0. 'coq/Coq_NArith_BinNat_N_shiftl_lxor' 'mat/times_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_log2_pow2'#@#variant 'mat/S_pred'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_le_mono_nonneg_l'#@#variant 'mat/le_log'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_le_succ_diag_r' 'mat/lt_n_nth_prime_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_land_assoc' 'mat/assoc_times'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_min_le_compat' 'mat/lt_times'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_trans' 'mat/trans_divides'
0. 'coq/Coq_Arith_PeanoNat_Nat_lcm_0_l' 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_div_eucl' 'mat/eqb_to_Prop'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_divide_mono_r' 'mat/le_times_l'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_le_compat' 'mat/lt_times'
0. 'coq/Coq_PArith_BinPos_Pos_add_min_distr_l' 'mat/distr_times_minus'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_glb_lt' 'mat/divides_minus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_mul_l' 'mat/times_exp'
0. 'coq/Coq_ZArith_BinInt_Z_max_assoc' 'mat/assoc_times'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lcm_mul_mono_r' 'mat/times_exp'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_transitive'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_eq_0_l' 'mat/andb_true_true'
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_ME_MO_eq_not_lt' 'mat/eq_to_not_lt'
0. 'coq/Coq_Strings_Ascii_ascii_nat_embedding' 'mat/defactorize_factorize'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_ZArith_BinInt_Z_mul_0_l' 'mat/mod_O_n'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_nonneg'#@#variant 'mat/lt_O_S'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_max_id' 'mat/orb_refl'
0. 'coq/Coq_ZArith_BinInt_Z_divide_reflexive'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sub_diag' 'mat/minus_n_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_eq_decidable' 'mat/decidable_eq_fraction'
0. 'coq/Coq_NArith_BinNat_N_succ_double_inj' 'mat/inj_S'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_ltb_irrefl' 'mat/eqb_n_n'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_ggcd_correct_divisors' 'mat/eqfb_to_Prop'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_add_le_sub_r' 'mat/le_plus_to_minus_r'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_inj' 'mat/not_eq_S'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_decidable' 'mat/decidable_le'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_nonneg'#@#variant 'mat/lt_O_teta'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_land_lor_distr_l' 'mat/times_exp'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_le_min_l' 'mat/divides_gcd_nm/1'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_succ_diag_r' 'mat/le_n_Sn'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_le_mono' 'mat/ltS'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_le_lt_mono' 'mat/le_to_lt_to_plus_lt'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_le_compat_r' 'mat/lt_plus_l'
0. 'coq/Coq_PArith_BinPos_Pos_mul_1_l' 'mat/Ztimes_Zone_l'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lor_land_distr_r' 'mat/distr_times_plus'
0. 'coq/Coq_ZArith_Znumtheory_rel_prime_mult' 'mat/divides_plus'
0. 'coq/Coq_ZArith_BinInt_Z_eqb_refl' 'mat/leb_refl'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_inj' 'mat/not_eq_S'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_sqrt_spec' 'mat/OZ_test_to_Prop'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_eq_0_l' 'mat/andb_true_true'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_gcd_1_l'#@#variant 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_even_pred' 'mat/pos_n_eq_S_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_le_compat' 'mat/divides_times'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lor_assoc' 'mat/andb_assoc'
0. 'coq/Coq_Arith_Minus_minus_Sn_m' 'mat/minus_Sn_m'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_le_compat_r' 'mat/lt_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lcm_1_l'#@#variant 'mat/gcd_O_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pred_0' 'mat/eq_OZ_Zopp_OZ'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_nonneg' 'mat/lt_O_nth_prime_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pred_succ' 'mat/pred_Sn'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_log2_log2_up' 'mat/le_times_SSO_n_exp_SSO_n'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mod_1_r'#@#variant 'mat/mod_SO'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_lxor_nilpotent' 'mat/minus_n_n'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_nonneg' 'mat/le_SO_fact'#@#variant
0. 'coq/Coq_QArith_Qreduction_Qplus_prime_comp' 'mat/le_plus'
0. 'coq/Coq_Classes_CRelationClasses_RewriteRelation_instance_1' 'mat/impl_refl'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_peano_ind' 'mat/nat_ind'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono' 'mat/lt_plus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_greatest' 'mat/divides_plus'
0. 'coq/Coq_Classes_CRelationClasses_RewriteRelation_instance_0' 'mat/impl_refl'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_eq_sym'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_assoc' 'mat/andbA'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_assoc' 'mat/andbA'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_eq_refl'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_lt_mono' 'mat/le_plus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_opp_eq_mul_m1'#@#variant 'mat/plus_n_SO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_assoc' 'mat/assoc_plus'
0. 'coq/Coq_ZArith_Zlogarithm_ZERO_le_N_digits' 'mat/le_SO_fact'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pow_mul_r' 'mat/eq_minus_minus_minus_plus'
0. 'coq/Coq_Classes_RelationClasses_iff_Symmetric' 'mat/reflexive_iff'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_compare_refl' 'mat/leb_refl'
0. 'coq/Coq_ZArith_BinInt_Z_mul_1_l'#@#variant 'mat/Qtimes_Qone_q'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_assoc' 'mat/andbA'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_le_mono' 'mat/le_to_le_pred'
0. 'coq/Coq_ZArith_BinInt_Zplus_diag_eq_mult_2'#@#variant 'mat/exp_SSO'#@#variant
0. 'coq/Coq_Arith_Max_succ_max_distr' 'mat/Qinv_Qtimes\''
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_1'#@#variant 'mat/eq_OZ_Zopp_OZ'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_IP_dec_eq' 'mat/bool_to_decidable_eq'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_2'#@#variant 'mat/A_SSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_shiftr_land' 'mat/times_exp'
0. 'coq/Coq_Arith_PeanoNat_Nat_gcd_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pred_min_distr' 'mat/Qinv_Qtimes\''
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_le_pred_l' 'mat/le_sqrt_n_n'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_le_trans' 'mat/lt_to_le_to_lt'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sub_succ' 'mat/minus_S_S'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_succ_max_distr' 'mat/Zopp_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ltb_irrefl' 'mat/ltb_refl'
0. 'coq/Coq_ZArith_BinInt_Z_shiftr_0_l' 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qcle_antisym' 'mat/antisym_le'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_succ' 'mat/Zsucc_Zpred'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_mul_reg_r' 'mat/inj_plus_l'
0. 'coq/Coq_Arith_Plus_plus_assoc_reverse' 'mat/assoc_Ztimes'
0. 'coq/Coq_PArith_BinPos_Pos_eq_sym'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_fourier_Fourier_util_Rnot_lt_lt' 'mat/lt_to_lt_O_minus'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_ggcd_greatest' 'mat/Z_compare_to_Prop'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_lt_mono' 'mat/le_times'
0. 'coq/Coq_ZArith_BinInt_Z_add_le_mono' 'mat/divides_times'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_succ_l' 'mat/Zplus_Zsucc'
0. 'coq/Coq_Reals_Rtrigo1_tan_0' 'mat/eq_OZ_Zopp_OZ'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_reflexive'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftr_0_l' 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_NArith_BinNat_N_sqrt_up_1'#@#variant 'mat/A_SSO'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_assoc' 'mat/assoc_times'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_0_r' 'mat/Qtimes_q_OQ'
0. 'coq/Coq_Bool_Bool_andb_false_l' 'mat/mod_O_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_Even_or_Odd' 'mat/not_not_bertrand_to_bertrand'
0. 'coq/Coq_ZArith_Zorder_Zlt_0_le_0_pred'#@#variant 'mat/prime_smallest_factor_n'#@#variant
0. 'coq/Coq_PArith_BinPos_Pos_pred_sub' 'mat/plus_n_SO'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_ggcd_correct_divisors' 'mat/ltb_to_Prop'
0. 'coq/Coq_Reals_Rtrigo_def_cosn_no_R0' 'mat/not_eq_OZ_pos'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_le_mono' 'mat/divides_times'
0. 'coq/Coq_QArith_QOrderedType_QOrder_TO_eq_equiv'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_min_distr' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_le_lin'#@#variant 'mat/lt_sqrt_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_lt_mono_r'#@#variant 'mat/lt_exp'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_id' 'mat/orb_refl'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_add_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_Reals_Rbasic_fun_Rmax_assoc' 'mat/assoc_times'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_pred_l' 'mat/le_smallest_factor_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_le_lin'#@#variant 'mat/lt_sqrt_n'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_succ_inj' 'mat/inj_S'
0. 'coq/Coq_ZArith_BinInt_Z_abs_nonneg'#@#variant 'mat/not_nf_elim_not/0'
0. 'coq/Coq_Reals_Rpower_ln_inv' 'mat/eq_pred_to_eq'
0. 'coq/Coq_ZArith_Znumtheory_Zdivide_Zabs_l' 'mat/lt_S_to_lt'
0. 'coq/Coq_Bool_Bool_eqb_negb1' 'mat/minus_Sn_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_lnot_diag'#@#variant 'mat/rtimes_rinv'
0. 'coq/Coq_ZArith_BinInt_Z_add_min_distr_r' 'mat/times_exp'
0. 'coq/Coq_ZArith_BinInt_Z_max_le_compat' 'mat/lt_times'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Topp_opp_stable' 'mat/injective_S'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_assoc' 'mat/andbA'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_r' 'mat/le_plus_l'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_min_distr' 'mat/distr_times_minus'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_2'#@#variant 'mat/A_SSSO'#@#variant
0. 'coq/Coq_QArith_Qreduction_Qminus_prime_comp' 'mat/le_times'
0. 'coq/Coq_QArith_Qabs_Qle_Qabs' 'mat/lt_n_nth_prime_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_reflexive'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_Reals_RIneq_Rplus_lt_reg_l' 'mat/lt_plus_to_lt_r'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_land_lor_distr_r' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Reals_Rminmax_R_le_min_l' 'mat/divides_gcd_nm/1'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_strorder'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_add_lt_mono' 'mat/lt_times'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftl_lor' 'mat/times_exp'
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_pos'#@#variant 'mat/lt_O_teta'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_0_succ'#@#variant 'mat/lt_O_S'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_land_0_r' 'mat/Qtimes_q_OQ'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_succ_r_prime' 'mat/exp_S'
0. 'coq/Coq_Reals_RIneq_Rmult_le_compat_l' 'mat/lt_times_r1'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_sqrt_spec' 'mat/pregroup'
0. 'coq/Coq_Reals_Rtrigo_def_cosh_0' 'mat/B_SSSO'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_pow2'#@#variant 'mat/S_pred'#@#variant
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_spec_of_Z' 'mat/numeratorQ_nat_fact_all_to_Q'
0. 'coq/Coq_Arith_Factorial_lt_O_fact'#@#variant 'mat/lt_O_teta'#@#variant
0. 'coq/Coq_FSets_FMapPositive_PositiveMap_E_bits_lt_trans' 'mat/trans_divides'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_sub_distr_l' 'mat/distr_times_plus'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_0_succ'#@#variant 'mat/lt_SO_nth_prime_n'#@#variant
0. 'coq/Coq_NArith_Ndigits_Nless_not_refl' 'mat/nat_compare_n_n'
0. 'coq/Coq_QArith_Qminmax_Q_min_glb_lt' 'mat/divides_plus'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_log2_up_pow2'#@#variant 'mat/S_pred'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_opp_involutive' 'mat/finv_finv'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_add_reg_r' 'mat/inj_plus_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_lt_mono' 'mat/divides_times'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lcm_assoc' 'mat/andb_assoc'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_trans' 'mat/trans_divides'
0. 'coq/Coq_Reals_Rtrigo_calc_deg_rad' 'mat/Zpred_Zsucc'
0. 'coq/Coq_Bool_Bool_negb_xorb_r' 'mat/plus_n_Sm'
0. 'coq/Coq_ZArith_Zbool_Zlt_cases' 'mat/Z_compare_to_Prop'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_eq_refl'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sub_max_distr_l' 'mat/exp_plus_times'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_up_lt_lin'#@#variant 'mat/divides_smallest_factor_n'#@#variant
0. 'coq/Coq_Reals_RIneq_Rgt_or_ge' 'mat/not_lt_to_le'
0. 'coq/Coq_Reals_Rbasic_fun_Rmin_assoc' 'mat/andbA'
0. 'coq/Coq_Reals_RIneq_Rmult_ne/1' 'mat/Qtimes_Qone_q'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tmult_assoc_r_stable' 'mat/increasing_nth_prime'
0. 'coq/Coq_Reals_RIneq_Rgt_not_eq' 'mat/lt_to_not_eq'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrt_up_nonneg'#@#variant 'mat/lt_O_S'#@#variant
0. 'coq/Coq_Bool_Bool_xorb_true_r' 'mat/plus_n_SO'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div2_double' 'mat/pred_Sn'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_2'#@#variant 'mat/A_SO'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_eq_equiv'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_reflexive'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_Reals_RIneq_Rdiv_plus_distr' 'mat/times_plus_l'
0. 'coq/Coq_ZArith_BinInt_Z_gcd_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_ZArith_Znat_nat_N_Z' 'mat/numerator_nat_fact_to_fraction'
0. 'coq/Coq_NArith_BinNat_N_lxor_0_l' 'mat/Qtimes_Qone_q'
0. 'coq/Coq_NArith_BinNat_N_pred_le_mono' 'mat/lt_to_lt_S_S'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_ggcd_correct_divisors' 'mat/eqZb_to_Prop'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_mul_r' 'mat/eq_div_div_div_times'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_le_max_r' 'mat/le_plus_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_min_le_compat' 'mat/divides_times'
0. 'coq/Coq_NArith_BinNat_N_divide_1_l'#@#variant 'mat/le_O_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_sqrt_up_succ_sqrt' 'mat/le_teta'#@#variant
0. 'coq/Coq_NArith_Ndiv_def_Pdiv_eucl_correct' 'mat/nat_compare_to_Prop'
0. 'coq/Coq_Reals_RIneq_Rlt_irrefl' 'mat/Not_lt_n_n'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_up_le_mono' 'mat/le_pred'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_eq_refl'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_ltb_irrefl' 'mat/leb_refl'
0. 'coq/Coq_QArith_QArith_base_Qlt_trans' 'mat/trans_le'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_max_min_distr' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_min_distr_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pred_le_mono' 'mat/lt_to_lt_S_S'
0. 'coq/Coq_ZArith_BinInt_Z_pow_0_r'#@#variant 'mat/bc_n_O'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_land_0_l' 'mat/gcd_SO_n'#@#variant
0. 'coq/__constr_Coq_Classes_Morphisms_apply_subrelation_0_1' 'mat/daemon0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_1'#@#variant 'mat/B_SSSO'#@#variant
0. 'coq/Coq_QArith_Qcanon_Qcmult_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_pred_l' 'mat/le_prim_n'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_sub_mask_diag' 'mat/eqb_n_n'
0. 'coq/Coq_ZArith_Znat_N2Z_id' 'mat/factorize_defactorize'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_reduce_stable' 'mat/monotonic_sqrt'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Topp_opp_stable' 'mat/monotonic_sqrt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_l' 'mat/le_to_mod'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_T_OMEGA10_stable' 'mat/injective_S'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sub_max_distr_r' 'mat/times_exp'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_sub_lt_add_r' 'mat/le_plus_to_minus_r'
0. 'coq/Coq_NArith_BinNat_N_sub_max_distr_r' 'mat/times_exp'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pred_le_mono' 'mat/le_S_S'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_2'#@#variant 'mat/B_SSSO'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_one_succ'#@#variant 'mat/A_SSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_max_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sub_max_distr_r' 'mat/times_minus_l'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_shiftl_ldiff' 'mat/times_exp'
0. 'coq/Coq_ZArith_BinInt_Z_lor_land_distr_r' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_0_r' 'mat/divides_n_O'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_gcd_greatest' 'mat/divides_plus'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sqrtrem_spec' 'mat/AA'
0. 'coq/Coq_QArith_QOrderedType_QOrder_eq_lt' 'mat/le_to_lt_to_lt'
0. 'coq/Coq_Arith_PeanoNat_Nat_sqrt_up_le_mono' 'mat/le_S_S'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_even_aux' 'mat/Magma_OF_Monoid'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_gcd_greatest' 'mat/divides_plus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_land_m1_l'#@#variant 'mat/gcd_O_n'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_double_twice'#@#variant 'mat/eq_A_A\''
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_succ_diag_r' 'mat/lt_n_nth_prime_n'
0. 'coq/Coq_NArith_BinNat_N_sqrt_le_mono' 'mat/le_to_le_pred'
0. 'coq/Coq_ZArith_BinInt_Z_log2_1'#@#variant 'mat/B_SSSSO'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zsucc_gt_compat' 'mat/lt_to_lt_S_S'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_trans' 'mat/trans_lt'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_le_mono' 'mat/le_pred'
0. 'coq/Coq_Arith_PeanoNat_Nat_lor_assoc' 'mat/assoc_times'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_min_distr_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Numbers_Cyclic_Int31_Cyclic31_spec_is_even' 'mat/magma'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_gcd_1_r'#@#variant 'mat/Qtimes_q_OQ'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sub_le_mono_l' 'mat/monotonic_le_minus_r'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_gcd_divide_l' 'mat/divides_gcd_nm/1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_max_min_distr' 'mat/distr_times_minus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lt_sub_lt_add_r' 'mat/le_plus_to_minus_r'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tplus_comm_stable' 'mat/monotonic_A'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lcm_assoc' 'mat/andb_assoc'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_le_mono' 'mat/divides_times'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_sub_l' 'mat/divides_gcd_nm/1'
0. 'coq/Coq_Arith_Factorial_fact_le' 'mat/le_pred'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_sub_distr_l' 'mat/distr_times_minus'
0. 'coq/Coq_Reals_Rpower_exp_increasing' 'mat/le_pred'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_log2_le_lin'#@#variant 'mat/divides_smallest_factor_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_0_r' 'mat/Ztimes_z_OZ'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_lt_succ_r' 'mat/ltW'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_nonneg'#@#variant 'mat/lt_O_nth_prime_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono_nonneg_l'#@#variant 'mat/le_log'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_2'#@#variant 'mat/B_SSSO'#@#variant
0. 'coq/Coq_ZArith_Zorder_Zsucc_le_reg' 'mat/le_S_S_to_le'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_lt_mono' 'mat/le_times'
0. 'coq/Coq_QArith_QOrderedType_QOrder_eq_le' 'mat/le_to_lt_to_lt'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_0_r'#@#variant 'mat/bc_n_O'#@#variant
0. 'coq/Coq_Reals_R_sqr_Rsqr_inj'#@#variant 'mat/eq_pred_to_eq'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pred_inj' 'mat/inj_S'
0. 'coq/Coq_ZArith_Zorder_Zsucc_gt_compat' 'mat/le_pred'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mod_small' 'mat/lt_to_eq_mod'
0. 'coq/Coq_Reals_Exp_prop_exp_pos'#@#variant 'mat/prime_nth_prime'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_add_pos_r'#@#variant 'mat/O_lt_const_to_le_times_const'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_succ_l' 'mat/Zplus_Zpred'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_xO' 'mat/Qinv_Qtimes\''
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_succ_min_distr' 'mat/Qinv_Qtimes\''
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_le_mono' 'mat/divides_times'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_ldiff_0_l' 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_land_lor_distr_l' 'mat/times_exp'
0. 'coq/Coq_Reals_Rbasic_fun_Rle_abs' 'mat/le_n_Sn'
0. 'coq/Coq_Reals_ROrderedType_ROrder_TO_eq_equiv'#@#variant 'mat/transitive_Zlt'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_mul_le_mono' 'mat/lt_plus'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_diag' 'mat/times_SSO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_gcd_divide/1' 'mat/divides_gcd_nm/0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sub_min_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_Arith_PeanoNat_Nat_lt_neq' 'mat/eq_to_not_lt'
0. 'coq/Coq_ZArith_BinInt_Z_le_min_r' 'mat/divides_gcd_m'
0. 'coq/Coq_NArith_BinNat_N_div2_div'#@#variant 'mat/plus_n_SO'#@#variant
0. 'coq/Coq_NArith_BinNat_N_le_sqrt_sqrt_up' 'mat/le_B_A'
0. 'coq/Coq_NArith_BinNat_N_le_min_r' 'mat/divides_gcd_nm/0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_pos' 'mat/lt_SO_n_to_lt_O_pred_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_opp_diag_l' 'mat/orb_not_b_b'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_0' 'mat/eq_OZ_Zopp_OZ'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_up_nonneg'#@#variant 'mat/not_nf_elim_not/1'
0. 'coq/Coq_ZArith_Zorder_Zplus_gt_reg_r' 'mat/lt_plus_to_lt_l'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_rem_1_r'#@#variant 'mat/exp_n_O0'#@#variant
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_Tmult_plus_distr_stable' 'mat/monotonic_sqrt'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_opp_diag_l' 'mat/minus_Sn_n'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_trans' 'mat/trans_le'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_land_lor_distr_r' 'mat/distr_times_plus'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_sub_diag' 'mat/minus_n_n'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_shiftr_0_l' 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_Bool_Bool_xorb_false_l' 'mat/gcd_O_n'
0. 'coq/Coq_ZArith_Zlogarithm_ZERO_le_N_digits'#@#variant 'mat/not_nf_elim_not/0'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_0_r'#@#variant 'mat/mod_SO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_involutive' 'mat/Qinv_Qinv'
0. 'coq/Coq_ZArith_BinInt_Z_lt_strorder'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_shiftr_lxor' 'mat/times_plus_l'
0. 'coq/Coq_NArith_BinNat_N_lt_trans' 'mat/trans_lt'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_log2_up_nonneg'#@#variant 'mat/not_nf_elim_not/1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pow_gt_lin_r' 'mat/lt_m_exp_nm'
0. 'coq/Coq_NArith_BinNat_N_min_le_compat' 'mat/lt_plus'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lcm_0_l' 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_eqb_refl' 'mat/ltb_refl'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_log2_up_le_mono' 'mat/le_S_S'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_land_diag' 'mat/orb_refl'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_spec_even_aux' 'mat/OZ_test_to_Prop'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_assoc' 'mat/andbA'
0. 'coq/Coq_NArith_BinNat_N_divide_reflexive'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lor_lnot_diag'#@#variant 'mat/rtimes_rinv'
0. 'coq/Coq_ZArith_BinInt_Z_leb_refl' 'mat/leb_refl'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_assoc' 'mat/andbA'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_strong_spec_of_Qc' 'mat/numerator_nat_fact_to_fraction'
0. 'coq/Coq_NArith_Ndigits_Nxor_div2' 'mat/Qinv_Qtimes\''
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_divide_pos_le' 'mat/divides_to_le'
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono_nonneg_r' 'mat/lt_times_l1'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_land_0_l' 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_le_compat' 'mat/lt_plus'
0. 'coq/Coq_romega_ReflOmegaCore_ZOmega_reduce_stable' 'mat/increasing_nth_prime'
0. 'coq/Coq_NArith_BinNat_Nmult_plus_distr_l' 'mat/distr_times_plus'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lcm_0_l' 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_sqrt_up_le_mono' 'mat/le_S_S'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_rem_le'#@#variant 'mat/lt_div'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_min_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_QArith_Qcanon_Qcnot_le_lt' 'mat/not_le_to_lt'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_assoc' 'mat/andbA'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_land_lor_distr_l' 'mat/times_plus_l'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_ltb_irrefl' 'mat/eqb_n_n'
0. 'coq/Coq_Reals_Rtrigo1_tan_0' 'mat/A_SO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_min_distr_l' 'mat/distr_times_plus'
0. 'coq/Coq_QArith_QArith_base_Qlt_shift_div_l'#@#variant 'mat/divides_times_to_divides_div'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_nonneg'#@#variant 'mat/lt_O_teta'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_up_2'#@#variant 'mat/A_SSO'#@#variant
0. 'coq/Coq_Reals_RIneq_Rplus_gt_compat' 'mat/lt_times'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_lt_succ_diag_r' 'mat/lt_n_nth_prime_n'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_succ_r' 'mat/plus_n_Sm'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_le_mono' 'mat/ltS'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_div_le_lower_bound' 'mat/le_times_to_le_div'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lcm_diag' 'mat/orb_refl'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_land_assoc' 'mat/andbA'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_mul_sub_distr_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_succ_m1'#@#variant 'mat/A_SSSO'#@#variant
0. 'coq/Coq_MSets_MSetPositive_PositiveSet_compare_eq' 'mat/leb_true_to_le'
0. 'coq/Coq_NArith_BinNat_N_min_0_r' 'mat/times_n_O'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_abs_0' 'mat/A_SSO'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_quot_le_lower_bound'#@#variant 'mat/le_times_to_le_div'#@#variant
0. 'coq/Coq_ZArith_BinInt_Z_max_id' 'mat/gcd_n_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_le_min_r' 'mat/divides_gcd_nm/0'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_Arith_PeanoNat_Nat_log2_up_pos'#@#variant 'mat/prime_smallest_factor_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_succ_inj' 'mat/not_eq_S'
0. 'coq/Coq_ZArith_BinInt_Z_sqrt_up_le_lin'#@#variant 'mat/divides_smallest_factor_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_add_r' 'mat/divides_plus'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_nonneg'#@#variant 'mat/lt_O_S'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_nlt_succ_diag_l' 'mat/not_le_Sn_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_min_distr_l' 'mat/distr_times_minus'
0. 'coq/Coq_QArith_Qminmax_Q_max_le_compat' 'mat/lt_plus'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_nonneg_l'#@#variant 'mat/le_log'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_sub_1_r' 'mat/plus_n_SO'#@#variant
0. 'coq/Coq_NArith_BinNat_N_le_pred_l' 'mat/le_sqrt_n_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_mul_le_mono_l' 'mat/le_plus_r'
0. 'coq/Coq_QArith_Qcanon_Qcmult_plus_distr_r' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_PArith_BinPos_Pos_sub_lt' 'mat/eq_div_O'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_b2n_inj' 'mat/inj_neg'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_shuffle1' 'mat/ab_times_cd'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_le_preorder'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_pow_succ_r' 'mat/times_n_Sm'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_land_lor_distr_r' 'mat/distr_times_minus'
0. 'coq/Coq_Reals_Rpower_exp_ln' 'mat/S_pred'
0. 'coq/Coq_Arith_Mult_mult_lt_compat_r'#@#variant 'mat/lt_times_l1'#@#variant
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_le_mono' 'mat/le_to_le_pred'
0. 'coq/Coq_ZArith_BinInt_Z_add_le_lt_mono' 'mat/le_to_lt_to_plus_lt'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_add_le_mono' 'mat/le_times'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_max_1_l' 'mat/Ztimes_Zone_l'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lor_m1_r'#@#variant 'mat/Ztimes_z_OZ'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_lxor_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_min_le_compat_l' 'mat/le_times_r'
0. 'coq/Coq_Arith_PeanoNat_Nat_lor_land_distr_r' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_NArith_BinNat_N_divide_refl' 'mat/divides_n_n'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_log2_up_lt_cancel' 'mat/le_S_S_to_le'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_add_sub' 'mat/minus_plus_m_m'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_max_min_distr' 'mat/distr_times_minus'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sub_add_distr' 'mat/exp_exp_times'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_0_r' 'mat/exp_n_O0'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lxor_0_l' 'mat/Ztimes_Zone_l'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pow_inj_r'#@#variant 'mat/lt_exp_to_lt'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_max_distr_r' 'mat/times_plus_l'
0. 'coq/Coq_ZArith_Zorder_Zplus_le_compat_l' 'mat/le_times_r'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mod_1_r'#@#variant 'mat/bc_n_O'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_eq_refl'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_Bool_Bool_andb_false_r' 'mat/Qtimes_q_OQ'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lxor_assoc' 'mat/andbA'
0. 'coq/Coq_Reals_RIneq_Rge_refl' 'mat/divides_n_n'
0. 'coq/Coq_Arith_PeanoNat_Nat_lcm_assoc' 'mat/assoc_times'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_eq_0_r' 'mat/times_O_to_O'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_divide_trans' 'mat/trans_lt'
0. 'coq/Coq_Arith_PeanoNat_Nat_lxor_0_l' 'mat/Ztimes_Zone_l'
0. 'coq/Coq_PArith_BinPos_Pos_sub_le' 'mat/eq_div_O'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_1_l' 'mat/Qtimes_Qone_q'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_one_succ'#@#variant 'mat/B_SSSSO'#@#variant
0. 'coq/Coq_PArith_BinPos_Ppred_minus' 'mat/plus_n_SO'#@#variant
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_min_distr_r' 'mat/times_exp'
0. 'coq/Coq_Reals_RIneq_Rlt_le_trans' 'mat/lt_to_le_to_lt'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_min_distr_l' 'mat/eq_gcd_times_times_times_gcd'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_le_lin'#@#variant 'mat/lt_sqrt_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_pred_succ' 'mat/Zpred_Zsucc'
0. 'coq/Coq_Reals_Rbasic_fun_Rabs_pos' 'mat/lt_O_fact'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_succ_max_distr' 'mat/Qinv_Qtimes\''
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pow_2_r' 'mat/exp_SSO'
0. 'coq/Coq_romega_ReflOmegaCore_Z_as_Int_mult_lt_compat_l'#@#variant 'mat/lt_exp'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_max_distr_l' 'mat/distr_times_plus'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_r' 'mat/le_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_le_refl' 'mat/divides_n_n'
0. 'coq/Coq_ZArith_BinInt_Z_rem_opp_l_prime' 'mat/Zplus_Zpred'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_sqrt_1'#@#variant 'mat/eq_OZ_Zopp_OZ'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_log2_1'#@#variant 'mat/B_SSSSO'#@#variant
0. 'coq/Coq_Reals_R_sqrt_sqrt_1' 'mat/A_SSO'#@#variant
0. 'coq/Coq_NArith_BinNat_N_log2_up_2'#@#variant 'mat/B_SSSO'#@#variant
0. 'coq/Coq_NArith_BinNat_N_shiftl_land' 'mat/times_exp'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_transitive'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_Reals_RIneq_Rle_not_lt' 'mat/lt_to_not_le'
0. 'coq/Coq_Reals_R_sqrt_sqrt_0' 'mat/A_SSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_le_min_l' 'mat/le_minus_m'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lt_sub_lt_add_l' 'mat/lt_minus_to_lt_plus'
0. 'coq/Coq_Init_Peano_le_pred' 'mat/le_to_le_pred'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_min_r' 'mat/divides_gcd_m'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_trans' 'mat/trans_le'
0. 'coq/Coq_Reals_R_sqrt_sqrt_le_1_alt' 'mat/le_S_S'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_eq_trans'#@#variant 'mat/transitive_le'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_lt_succ_l' 'mat/lt_S_to_lt'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_lt_cancel' 'mat/le_S_S_to_le'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_add_diag'#@#variant 'mat/times_SSO_n'#@#variant
0. 'coq/Coq_QArith_Qminmax_Q_min_le_compat' 'mat/le_times'
0. 'coq/Coq_Reals_Raxioms_Rmult_assoc' 'mat/assoc_times'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_sub_eq_l' 'mat/plus_to_minus'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_glb_lt' 'mat/divides_minus'
0. 'coq/Coq_MSets_MSetPositive_PositiveSet_E_lt_strorder'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_Init_Peano_mult_n_O' 'mat/Qtimes_q_OQ'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_mul_divide_mono_r' 'mat/lt_plus_l'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_min_le_compat_l' 'mat/le_times_r'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_lt_irrefl' 'mat/Not_lt_n_n'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_gcd_divide_r' 'mat/divides_gcd_nm/0'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_mul_le_mono_r' 'mat/lt_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_shiftl_lxor' 'mat/times_plus_l'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_mul_succ_r' 'mat/exp_S'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_gcd_div_factor' 'mat/eq_gcd_div_div_div_gcd'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_max_le_compat' 'mat/divides_times'
0. 'coq/Coq_ZArith_BinInt_Z_max_le_compat' 'mat/le_times'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrtrem_spec' 'mat/semigroup'
0. 'coq/Coq_Arith_PeanoNat_Nat_lcm_mul_mono_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lor_land_distr_r' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_ZArith_BinInt_Z_lor_land_distr_l' 'mat/times_plus_l'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_add_max_distr_l' 'mat/distr_times_plus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_gcd_eq_0_l' 'mat/andb_true_true'
0. 'coq/Coq_NArith_BinNat_N_mul_le_mono' 'mat/le_times'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_lt_1_succ' 'mat/lt_O_nth_prime_n'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_sqrt_up_nonneg' 'mat/lt_O_fact'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_pow_0_r'#@#variant 'mat/exp_n_O0'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pos_sub_discr' 'mat/eqb_to_Prop'
0. 'coq/Coq_NArith_BinNat_N_succ_min_distr' 'mat/Qinv_Qtimes\''
0. 'coq/Coq_Reals_RIneq_Rle_trans' 'mat/trans_divides'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_ggcd_correct_divisors' 'mat/eqZb_to_Prop'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_gcd_mul_mono_l' 'mat/distr_times_plus'
0. 'coq/Coq_NArith_BinNat_N_shiftl_0_l' 'mat/exp_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_log2_up_lt_lin'#@#variant 'mat/divides_smallest_factor_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_eq_1_r' 'mat/eq_plus_n_m_O_to_eq_m_O'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_pred_0' 'mat/eq_OZ_Zopp_OZ'
0. 'coq/Coq_Arith_PeanoNat_Nat_pow_gt_lin_r'#@#variant 'mat/lt_m_exp_nm'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_divide_reflexive'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_min_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_Reals_Rbasic_fun_Rle_max_compat_r' 'mat/lt_plus_l'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_mul_max_distr_r' 'mat/times_exp'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_divide_add_r' 'mat/divides_plus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_pred_l' 'mat/Zplus_Zpred'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_le_compat' 'mat/le_times'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_eq_refl'#@#variant 'mat/trans_Zlt'#@#variant
0. 'coq/Coq_Arith_Plus_plus_assoc_reverse' 'mat/assoc_times'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_add_assoc' 'mat/assoc_Zplus'
0. 'coq/Coq_Classes_RelationClasses_eq_Symmetric' 'mat/transitive_eq'
0. 'coq/Coq_ZArith_Znat_Zabs2N_id' 'mat/defactorize_factorize'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_sqrt_up_le_mono' 'mat/lt_to_lt_S_S'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_div_small' 'mat/eq_minus_n_m_O'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_1_succ' 'mat/lt_O_teta'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_max_le_compat_r' 'mat/le_plus_l'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_add_max_distr_l' 'mat/distr_times_minus'
0. 'coq/Coq_Arith_Plus_plus_le_compat' 'mat/lt_plus'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_shuffle1' 'mat/ab_times_cd'
0. 'coq/Coq_NArith_BinNat_N_log2_nonneg' 'mat/lt_O_teta'
0. 'coq/Coq_PArith_BinPos_Pos_max_le_compat_r' 'mat/le_times_l'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_Measure_instance_0' 'mat/injective_pp'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sqrt_up_nonneg' 'mat/lt_O_fact'
0. 'coq/Coq_Reals_Rminmax_Rmin_l' 'mat/le_to_mod'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_divide_add_r' 'mat/divides_minus'
0. 'coq/Coq_ZArith_Zdiv_Zmult_mod_distr_r' 'mat/times_exp'
0. 'coq/Coq_PArith_BinPos_Pos_max_1_l' 'mat/rtimes_one_r'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lor_assoc' 'mat/assoc_times'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_le_compat' 'mat/lt_times'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_le_mono_l' 'mat/le_plus_r'
0. 'coq/Coq_NArith_BinNat_N_le_sqrt_sqrt_up' 'mat/le_times_SSO_n_exp_SSO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_shiftr_shiftr' 'mat/eq_minus_minus_minus_plus'
0. 'coq/Coq_Numbers_Integer_BigZ_BigZ_BigZ_leb_refl' 'mat/nat_compare_n_n'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_lt_strorder'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_nonneg_l' 'mat/lt_times_r1'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_land_0_l' 'mat/mod_O_n'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_add_le_mono' 'mat/le_times'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_2'#@#variant 'mat/B_SSSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_ggcd_correct_divisors' 'mat/Z_compare_to_Prop'
0. 'coq/Coq_PArith_BinPos_Pos_sub_mask_neg' 'mat/le_to_leb_true'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_log2_nonneg' 'mat/lt_O_fact'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_nonneg'#@#variant 'mat/prime_nth_prime'
0. 'coq/Coq_Reals_ArithProp_le_double'#@#variant 'mat/le_S_S_to_le'
0. 'coq/Coq_Reals_Rbasic_fun_Rmin_glb' 'mat/divides_plus'
0. 'coq/Coq_Structures_OrdersEx_Positive_as_DT_mul_add_distr_l' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_divide_trans' 'mat/trans_lt'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_pow_nonzero' 'mat/andb_true_true'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_mul_sub_distr_r' 'mat/times_exp'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_pred_le_mono' 'mat/ltS'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_lnot_0'#@#variant 'mat/B_SSSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_min_le_compat_r' 'mat/le_plus_l'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_preorder'#@#variant 'mat/trans_Zle'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_sub_0_l' 'mat/gcd_SO_n'#@#variant
0. 'coq/Coq_NArith_BinNat_N_le_max_l' 'mat/le_plus_n_r'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_add_lt_mono' 'mat/lt_plus'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_le_le_succ_r' 'mat/ltW'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_gcd_divide_l' 'mat/divides_gcd_n'
0. 'coq/Coq_ZArith_BinInt_Z_succ_min_distr' 'mat/Qinv_Qtimes\''
0. 'coq/Coq_Reals_R_sqrt_sqrt_positivity' 'mat/lt_O_smallest_factor'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_land_0_r' 'mat/times_n_O'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_ldiff_diag' 'mat/bc_n_n'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_1'#@#variant 'mat/A_SO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_lt_0_succ' 'mat/le_SO_fact'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_eq_sym'#@#variant 'mat/transitive_lt'#@#variant
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_sqrt_nonneg' 'mat/lt_O_teta'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_add_1_l' 'mat/Zsucc_Zplus_pos_O'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_le_max_r' 'mat/le_plus_n'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_lt_strorder'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_sub_diag' 'mat/minus_n_n'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_compare_refl' 'mat/leb_refl'
0. 'coq/Coq_Reals_Raxioms_R1_neq_R0' 'mat/not_eq_true_false'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_pos_sub_opp' 'mat/nat_compare_n_m_m_n'
0. 'coq/Coq_Numbers_Integer_Binary_ZBinary_Z_max_le_compat' 'mat/divides_times'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_add_sub_assoc' 'mat/eq_minus_plus_plus_minus'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_min_assoc' 'mat/assoc_Ztimes'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_lxor_assoc' 'mat/assoc_plus'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_OT_min_le_compat_l' 'mat/le_plus_r'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_eq_trans'#@#variant 'mat/transitive_divides'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Positive_as_OT_lt_1_succ' 'mat/le_SO_fact'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_add_lt_mono' 'mat/lt_times'
0. 'coq/Coq_Bool_Bool_negb_involutive' 'mat/Qinv_Qinv'
0. 'coq/Coq_Arith_PeanoNat_Nat_mul_le_mono_r' 'mat/le_plus_l'
0. 'coq/Coq_NArith_BinNat_N_lnot_ones' 'mat/minus_Sn_n'#@#variant
0. 'coq/Coq_Numbers_Cyclic_Int31_Ring31_Int31_canonic' 'mat/inj_neg'
0. 'coq/Coq_Numbers_Natural_BigN_BigN_BigN_pred_le_mono' 'mat/le_to_le_pred'
0. 'coq/Coq_PArith_POrderedType_Positive_as_OT_max_le_compat_r' 'mat/lt_plus_l'
0. 'coq/Coq_NArith_BinNat_N_max_min_distr' 'mat/distr_times_plus'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_max_min_distr' 'mat/distr_Ztimes_Zplus'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_mul_min_distr_l' 'mat/distr_times_plus'
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_le_gt_cases' 'mat/not_le_to_lt'
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_eq_refl'#@#variant 'mat/transitive_Zle'#@#variant
0. 'coq/Coq_Arith_PeanoNat_Nat_lcm_1_r' 'mat/times_n_SO'
0. 'coq/Coq_PArith_POrderedType_Positive_as_DT_lt_le_incl' 'mat/lt_to_le'
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_le_0_l' 'mat/divides_SO_n'#@#variant
0. 'coq/Coq_Structures_OrdersEx_Nat_as_DT_sqrt_up_nonneg'#@#variant 'mat/not_nf_elim_not/1'
0. 'coq/Coq_NArith_BinNat_N_add_max_distr_l' 'mat/distr_times_plus'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_sqrt_up_le_mono' 'mat/lt_to_lt_S_S'
0. 'coq/Coq_Reals_Rtrigo1_cos_PI'#@#variant 'mat/B_SSSSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_max_le_compat_l' 'mat/le_plus_r'
0. 'coq/Coq_NArith_BinNat_N_le_decidable' 'mat/decidable_lt'
0. 'coq/Coq_Numbers_Rational_BigQ_BigQ_BigQ_le_max_l' 'mat/le_plus_n_r'
0. 'coq/Coq_ZArith_BinInt_Zplus_assoc_reverse' 'mat/andb_assoc'
0. 'coq/Coq_Numbers_Natural_Binary_NBinary_N_lor_assoc' 'mat/assoc_times'
0. 'coq/Coq_QArith_QArith_base_Qle_bool_imp_le' 'mat/divides_b_true_to_divides'
0. 'coq/Coq_Init_Datatypes_CompOpp_involutive' 'mat/notb_notb'
0. 'coq/Coq_Structures_OrdersEx_Z_as_DT_pow_2_r'#@#variant 'mat/exp_SSO'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_OT_min_assoc' 'mat/andb_assoc'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_pow_le_mono_r'#@#variant 'mat/lt_exp'#@#variant
0. 'coq/Coq_Structures_OrdersEx_N_as_DT_mul_1_l'#@#variant 'mat/Qtimes_Qone_q'
0. 'coq/Coq_Structures_OrdersEx_Z_as_OT_divide_trans' 'mat/trans_divides'
0. 'coq/Coq_NArith_BinNat_N_divide_lcm_l' 'mat/le_plus_n_r'
