cic:/matita/nat/compare/not_eq_to_eqb_false.con cic:/matita/nat/compare/nat_compare_to_Prop.con cic:/matita/nat/compare/nat_compare_pred_pred.con cic:/matita/nat/compare/nat_compare_n_n.con cic:/matita/nat/compare/nat_compare_n_m_m_n.con cic:/matita/nat/compare/nat_compare_elim.con cic:/matita/nat/compare/nat_compare_S_S.con cic:/matita/nat/compare/nat_compare.con cic:/matita/nat/compare/ltb_to_Prop.con cic:/matita/nat/compare/ltb_elim.con cic:/matita/nat/compare/ltb.con cic:/matita/nat/compare/lt_to_leb_false.con cic:/matita/nat/compare/leb_true_to_le.con cic:/matita/nat/compare/leb_to_Prop.con cic:/matita/nat/compare/leb_false_to_not_le.con cic:/matita/nat/compare/leb_elim.con cic:/matita/nat/compare/leb_demod3.con cic:/matita/nat/compare/leb_demod2.con cic:/matita/nat/compare/leb_demod1.con cic:/matita/nat/compare/leb.con cic:/matita/nat/compare/le_to_leb_true.con cic:/matita/nat/compare/eqb_true_to_eq.con cic:/matita/nat/compare/eqb_to_Prop.con cic:/matita/nat/compare/eqb_n_n.con cic:/matita/nat/compare/eqb_false_to_not_eq.con cic:/matita/nat/compare/eqb_elim.con cic:/matita/nat/compare/eqb.con cic:/matita/nat/compare/eq_to_eqb_true.con cic:/matita/nat/compare/compare_demod2.con cic:/matita/nat/compare/compare_demod1.con cic:/matita/nat/nat/pred_demod2.con cic:/matita/nat/nat/pred_demod1.con cic:/matita/nat/nat/pred_Sn.con cic:/matita/nat/nat/pred.con cic:/matita/nat/nat/not_zero.con cic:/matita/nat/nat/not_eq_n_Sn.con cic:/matita/nat/nat/not_eq_S.con cic:/matita/nat/nat/not_eq_O_S.con cic:/matita/nat/nat/nat_rect.con cic:/matita/nat/nat/nat_rec.con cic:/matita/nat/nat/nat_ind.con cic:/matita/nat/nat/nat_elim2.con cic:/matita/nat/nat/nat_case1.con cic:/matita/nat/nat/nat_case.con cic:/matita/nat/nat/nat.ind cic:/matita/nat/nat/injective_S.con cic:/matita/nat/nat/inj_S.con cic:/matita/nat/nat/decidable_eq_nat.con cic:/matita/nat/orders/transitive_lt.con cic:/matita/nat/orders/transitive_le.con cic:/matita/nat/orders/trans_lt.con cic:/matita/nat/orders/trans_le.con cic:/matita/nat/orders/not_lt_to_le.con cic:/matita/nat/orders/not_le_to_lt.con cic:/matita/nat/orders/not_le_Sn_n.con cic:/matita/nat/orders/not_le_Sn_O.con cic:/matita/nat/orders/not_eq_to_le_to_lt.con cic:/matita/nat/orders/nat_elim1.con cic:/matita/nat/orders/ltn_to_ltO.con cic:/matita/nat/orders/lt_to_not_le.con cic:/matita/nat/orders/lt_to_not_eq.con cic:/matita/nat/orders/lt_to_lt_S_S.con cic:/matita/nat/orders/lt_to_le_to_lt.con cic:/matita/nat/orders/lt_to_le.con cic:/matita/nat/orders/lt_pred.con cic:/matita/nat/orders/lt_n_m_to_not_lt_m_Sn.con cic:/matita/nat/orders/lt_S_to_lt.con cic:/matita/nat/orders/lt_S_to_le.con cic:/matita/nat/orders/lt_S_S_to_lt.con cic:/matita/nat/orders/lt_SO_n_to_lt_O_pred_n.con cic:/matita/nat/orders/lt_O_n_elim.con cic:/matita/nat/orders/lt_O_S.con cic:/matita/nat/orders/lt.con cic:/matita/nat/orders/le_to_or_lt_eq.con cic:/matita/nat/orders/le_to_not_lt.con cic:/matita/nat/orders/le_to_lt_to_lt.con cic:/matita/nat/orders/le_to_le_to_eq.con cic:/matita/nat/orders/le_to_le_pred.con cic:/matita/nat/orders/le_pred_to_le.con cic:/matita/nat/orders/le_pred_n.con cic:/matita/nat/orders/le_n_m_to_lt_m_Sn_to_eq_n_m.con cic:/matita/nat/orders/le_n_fn.con cic:/matita/nat/orders/le_n_Sn.con cic:/matita/nat/orders/le_n_Sm_elim.con cic:/matita/nat/orders/le_n_O_to_eq.con cic:/matita/nat/orders/le_n_O_elim.con cic:/matita/nat/orders/le_inv.con cic:/matita/nat/orders/le_ind.con cic:/matita/nat/orders/le_S_S_to_le.con cic:/matita/nat/orders/le_S_S.con cic:/matita/nat/orders/le_O_n.con cic:/matita/nat/orders/leS_to_not_zero.con cic:/matita/nat/orders/le.ind cic:/matita/nat/orders/increasing_to_monotonic.con cic:/matita/nat/orders/increasing_to_le2.con cic:/matita/nat/orders/increasing_to_le.con cic:/matita/nat/orders/increasing.con cic:/matita/nat/orders/gt.con cic:/matita/nat/orders/ge.con cic:/matita/nat/orders/eq_to_not_lt.con cic:/matita/nat/orders/decidable_lt.con cic:/matita/nat/orders/decidable_le.con cic:/matita/nat/orders/antisymmetric_le.con cic:/matita/nat/orders/antisym_le.con cic:/matita/nat/orders/S_pred.con cic:/matita/nat/orders/Not_lt_n_n.con cic:/matita/nat/plus/sym_plus.con cic:/matita/nat/plus/plus_n_Sm.con cic:/matita/nat/plus/plus_n_SO.con cic:/matita/nat/plus/plus_n_O.con cic:/matita/nat/plus/plus_demod4.con cic:/matita/nat/plus/plus_demod3.con cic:/matita/nat/plus/plus_demod2.con cic:/matita/nat/plus/plus_demod1.con cic:/matita/nat/plus/plus.con cic:/matita/nat/plus/injective_plus_r.con cic:/matita/nat/plus/injective_plus_l.con cic:/matita/nat/plus/inj_plus_r.con cic:/matita/nat/plus/inj_plus_l.con cic:/matita/nat/plus/associative_plus.con cic:/matita/nat/plus/assoc_plus.con cic:/matita/nat/times/times_n_Sm.con cic:/matita/nat/times/times_n_SO.con cic:/matita/nat/times/times_n_O.con cic:/matita/nat/times/times_demod6.con cic:/matita/nat/times/times_demod4.con cic:/matita/nat/times/times_demod2.con cic:/matita/nat/times/times_demod1.con cic:/matita/nat/times/times_SSO_n.con cic:/matita/nat/times/times_SSO.con cic:/matita/nat/times/times_O_to_O.con cic:/matita/nat/times/times.con cic:/matita/nat/times/symmetric_times.con cic:/matita/nat/times/sym_times.con cic:/matita/nat/times/or_eq_eq_S.con cic:/matita/nat/times/distributive_times_plus.con cic:/matita/nat/times/distr_times_plus.con cic:/matita/nat/times/associative_times.con cic:/matita/nat/times/assoc_times.con cic:/matita/Z/z/pos_n_eq_S_n.con cic:/matita/Z/z/not_eq_pos_neg.con cic:/matita/Z/z/not_eq_OZ_pos.con cic:/matita/Z/z/not_eq_OZ_neg.con cic:/matita/Z/z/neg_Z_of_nat.con cic:/matita/Z/z/injective_pos.con cic:/matita/Z/z/injective_neg.con cic:/matita/Z/z/inj_pos.con cic:/matita/Z/z/inj_neg.con cic:/matita/Z/z/decidable_eq_Z.con cic:/matita/Z/z/abs.con cic:/matita/Z/z/Zsucc_Zpred.con cic:/matita/Z/z/Zsucc.con cic:/matita/Z/z/Zpred_Zsucc.con cic:/matita/Z/z/Zpred.con cic:/matita/Z/z/Z_rect.con cic:/matita/Z/z/Z_rec.con cic:/matita/Z/z/Z_of_nat.con cic:/matita/Z/z/Z_ind.con cic:/matita/Z/z/Z.ind cic:/matita/Z/z/OZ_test_to_Prop.con cic:/matita/Z/z/OZ_test.con cic:/matita/algebra/monoids/premonoid.con cic:/matita/algebra/monoids/monoid_properties.con cic:/matita/algebra/monoids/magma.con cic:/matita/algebra/monoids/is_semi_group.con cic:/matita/algebra/monoids/is_right_inverse.con cic:/matita/algebra/monoids/is_left_inverse_to_is_right_inverse_to_eq.con cic:/matita/algebra/monoids/is_left_inverse.con cic:/matita/algebra/monoids/isSemiGroup_OF_Monoid.con cic:/matita/algebra/monoids/isMonoid_rect.con cic:/matita/algebra/monoids/isMonoid_rec.con cic:/matita/algebra/monoids/isMonoid_ind.con cic:/matita/algebra/monoids/isMonoid.ind cic:/matita/algebra/monoids/e_is_right_unit.con cic:/matita/algebra/monoids/e_is_left_unit.con cic:/matita/algebra/monoids/e.con cic:/matita/algebra/monoids/Type_OF_PreMonoid.con cic:/matita/algebra/monoids/Type_OF_Monoid.con cic:/matita/algebra/monoids/PreMonoid_rect.con cic:/matita/algebra/monoids/PreMonoid_rec.con cic:/matita/algebra/monoids/PreMonoid_ind.con cic:/matita/algebra/monoids/PreMonoid.ind cic:/matita/algebra/monoids/Monoid_rect.con cic:/matita/algebra/monoids/Monoid_rec.con cic:/matita/algebra/monoids/Monoid_ind.con cic:/matita/algebra/monoids/Monoid.ind cic:/matita/algebra/monoids/Magma_OF_Monoid.con cic:/matita/algebra/semigroups/semigroup_properties.con cic:/matita/algebra/semigroups/op_associative.con cic:/matita/algebra/semigroups/op.con cic:/matita/algebra/semigroups/magma.con cic:/matita/algebra/semigroups/is_right_unit.con cic:/matita/algebra/semigroups/is_left_unit_to_is_right_unit_to_eq.con cic:/matita/algebra/semigroups/is_left_unit.con cic:/matita/algebra/semigroups/isSemiGroup_rect.con cic:/matita/algebra/semigroups/isSemiGroup_rec.con cic:/matita/algebra/semigroups/isSemiGroup_ind.con cic:/matita/algebra/semigroups/isSemiGroup.ind cic:/matita/algebra/semigroups/carrier.con cic:/matita/algebra/semigroups/Type_OF_SemiGroup.con cic:/matita/algebra/semigroups/SemiGroup_rect.con cic:/matita/algebra/semigroups/SemiGroup_rec.con cic:/matita/algebra/semigroups/SemiGroup_ind.con cic:/matita/algebra/semigroups/SemiGroup.ind cic:/matita/algebra/semigroups/Magma_rect.con cic:/matita/algebra/semigroups/Magma_rec.con cic:/matita/algebra/semigroups/Magma_ind.con cic:/matita/algebra/semigroups/Magma.ind cic:/matita/datatypes/bool/true_to_true_to_andb_true.con cic:/matita/datatypes/bool/orb_sym.con cic:/matita/datatypes/bool/orb_elim.con cic:/matita/datatypes/bool/orb.con cic:/matita/datatypes/bool/notb_notb.con cic:/matita/datatypes/bool/notb_elim.con cic:/matita/datatypes/bool/notb.con cic:/matita/datatypes/bool/not_eq_true_false.con cic:/matita/datatypes/bool/injective_notb.con cic:/matita/datatypes/bool/if_then_else.con cic:/matita/datatypes/bool/bool_to_decidable_eq.con cic:/matita/datatypes/bool/bool_rect.con cic:/matita/datatypes/bool/bool_rec.con cic:/matita/datatypes/bool/bool_ind.con cic:/matita/datatypes/bool/bool_elim.con cic:/matita/datatypes/bool/bool.ind cic:/matita/datatypes/bool/andb_true_true_r.con cic:/matita/datatypes/bool/andb_true_true.con cic:/matita/datatypes/bool/andb_sym.con cic:/matita/datatypes/bool/andb_elim.con cic:/matita/datatypes/bool/andb_assoc.con cic:/matita/datatypes/bool/andb.con cic:/matita/datatypes/bool/and_true.con cic:/matita/datatypes/bool/P_x_to_P_x_to_eq.con cic:/matita/datatypes/compare/compare_rect.con cic:/matita/datatypes/compare/compare_rec.con cic:/matita/datatypes/compare/compare_invert.con cic:/matita/datatypes/compare/compare_ind.con cic:/matita/datatypes/compare/compare.ind cic:/matita/datatypes/constructors/void_rect.con cic:/matita/datatypes/constructors/void_rec.con cic:/matita/datatypes/constructors/void_ind.con cic:/matita/datatypes/constructors/void.ind cic:/matita/datatypes/constructors/unit_rect.con cic:/matita/datatypes/constructors/unit_rec.con cic:/matita/datatypes/constructors/unit_ind.con cic:/matita/datatypes/constructors/unit.ind cic:/matita/datatypes/constructors/snd.con cic:/matita/datatypes/constructors/option_rect.con cic:/matita/datatypes/constructors/option_rec.con cic:/matita/datatypes/constructors/option_ind.con cic:/matita/datatypes/constructors/option.ind cic:/matita/datatypes/constructors/fst.con cic:/matita/datatypes/constructors/eq_pair_fst_snd.con cic:/matita/datatypes/constructors/Sum_rect.con cic:/matita/datatypes/constructors/Sum_rec.con cic:/matita/datatypes/constructors/Sum_ind.con cic:/matita/datatypes/constructors/Sum.ind cic:/matita/datatypes/constructors/Prod_rect.con cic:/matita/datatypes/constructors/Prod_rec.con cic:/matita/datatypes/constructors/Prod_ind.con cic:/matita/datatypes/constructors/Prod.ind cic:/matita/decidable_kit/decidable/reflect_rect.con cic:/matita/decidable_kit/decidable/reflect_rec.con cic:/matita/decidable_kit/decidable/reflect_inv.con cic:/matita/decidable_kit/decidable/reflect_ind.con cic:/matita/decidable_kit/decidable/reflect.ind cic:/matita/decidable_kit/decidable/prove_reflect.con cic:/matita/decidable_kit/decidable/p2bT.con cic:/matita/decidable_kit/decidable/p2bF.con cic:/matita/decidable_kit/decidable/orbP.con cic:/matita/decidable_kit/decidable/orbC.con cic:/matita/decidable_kit/decidable/orb.con cic:/matita/decidable_kit/decidable/negbP.con cic:/matita/decidable_kit/decidable/negb.con cic:/matita/decidable_kit/decidable/ltb_refl.con cic:/matita/decidable_kit/decidable/ltb_n_Sm.con cic:/matita/decidable_kit/decidable/ltbW.con cic:/matita/decidable_kit/decidable/ltbP.con cic:/matita/decidable_kit/decidable/ltb.con cic:/matita/decidable_kit/decidable/ltW.con cic:/matita/decidable_kit/decidable/ltS.con cic:/matita/decidable_kit/decidable/ltS'.con cic:/matita/decidable_kit/decidable/leb_refl.con cic:/matita/decidable_kit/decidable/leb_eqb.con cic:/matita/decidable_kit/decidable/lebW.con cic:/matita/decidable_kit/decidable/lebP.con cic:/matita/decidable_kit/decidable/idP.con cic:/matita/decidable_kit/decidable/eq_to_bool.con cic:/matita/decidable_kit/decidable/congr_S.con cic:/matita/decidable_kit/decidable/bool_to_eq.con cic:/matita/decidable_kit/decidable/b2pT.con cic:/matita/decidable_kit/decidable/b2pF.con cic:/matita/decidable_kit/decidable/andbPF.con cic:/matita/decidable_kit/decidable/andbP.con cic:/matita/decidable_kit/decidable/andb.con cic:/matita/decidable_kit/eqtype/test_canonical_option_eqType.con cic:/matita/decidable_kit/eqtype/sval.con cic:/matita/decidable_kit/eqtype/sub_eqType.con cic:/matita/decidable_kit/eqtype/sprop.con cic:/matita/decidable_kit/eqtype/sort_OF_nat.con cic:/matita/decidable_kit/eqtype/sort_OF_bool.con cic:/matita/decidable_kit/eqtype/sort.con cic:/matita/decidable_kit/eqtype/sigma_rect.con cic:/matita/decidable_kit/eqtype/sigma_rec.con cic:/matita/decidable_kit/eqtype/sigma_ind.con cic:/matita/decidable_kit/eqtype/sigma_eq_dec.con cic:/matita/decidable_kit/eqtype/sigma.ind cic:/matita/decidable_kit/eqtype/option_eqType.con cic:/matita/decidable_kit/eqtype/option_canonical_eqType.con cic:/matita/decidable_kit/eqtype/ocmpP.con cic:/matita/decidable_kit/eqtype/ocmp.con cic:/matita/decidable_kit/eqtype/nat_eqType.con cic:/matita/decidable_kit/eqtype/nat_canonical_eqType.con cic:/matita/decidable_kit/eqtype/in_sub_rect.con cic:/matita/decidable_kit/eqtype/in_sub_rec.con cic:/matita/decidable_kit/eqtype/in_sub_inv.con cic:/matita/decidable_kit/eqtype/in_sub_ind.con cic:/matita/decidable_kit/eqtype/in_sub_eq.con cic:/matita/decidable_kit/eqtype/in_sub.ind cic:/matita/decidable_kit/eqtype/if_p.con cic:/matita/decidable_kit/eqtype/eqbP.con cic:/matita/decidable_kit/eqtype/eq_compatible.con cic:/matita/decidable_kit/eqtype/eqType_rect.con cic:/matita/decidable_kit/eqtype/eqType_rec.con cic:/matita/decidable_kit/eqtype/eqType_ind.con cic:/matita/decidable_kit/eqtype/eqType_decidable.con cic:/matita/decidable_kit/eqtype/eqType.ind cic:/matita/decidable_kit/eqtype/eqP.con cic:/matita/decidable_kit/eqtype/cmp_refl.con cic:/matita/decidable_kit/eqtype/cmpP.con cic:/matita/decidable_kit/eqtype/cmpC.con cic:/matita/decidable_kit/eqtype/cmp.con cic:/matita/decidable_kit/eqtype/bool_eqType.con cic:/matita/decidable_kit/eqtype/bool_canonical_eqType.con cic:/matita/decidable_kit/eqtype/bcmpP.con cic:/matita/decidable_kit/eqtype/bcmp.con cic:/matita/decidable_kit/list_aux/mem.con cic:/matita/decidable_kit/list_aux/list_eqType.con cic:/matita/decidable_kit/list_aux/lcmp_length.con cic:/matita/decidable_kit/list_aux/lcmpP.con cic:/matita/decidable_kit/list_aux/lcmp.con cic:/matita/decidable_kit/list_aux/count.con cic:/matita/decidable_kit/streicher/stepH.con cic:/matita/decidable_kit/streicher/step.con cic:/matita/decidable_kit/streicher/pirrel.con cic:/matita/decidable_kit/streicher/nu_k.con cic:/matita/decidable_kit/streicher/nu_inv.con cic:/matita/decidable_kit/streicher/nu.con cic:/matita/decidable_kit/streicher/decT.con cic:/matita/decidable_kit/streicher/cancel_nu_nu_inv.con cic:/matita/decidable_kit/streicher/cancel.con cic:/matita/demo/realisability/type_OF_SP.con cic:/matita/demo/realisability/true_impl_realized.con cic:/matita/demo/realisability/sigma_rect.con cic:/matita/demo/realisability/sigma_rec.con cic:/matita/demo/realisability/sigma_ind.con cic:/matita/demo/realisability/sigma.ind cic:/matita/demo/realisability/realized.con cic:/matita/demo/realisability/pi2.con cic:/matita/demo/realisability/pi1.con cic:/matita/demo/realisability/modr.con cic:/matita/demo/realisability/id_axiom.con cic:/matita/demo/realisability/extraction.con cic:/matita/demo/realisability/elim_abs.con cic:/matita/demo/realisability/cut.con cic:/matita/demo/realisability/correct2.con cic:/matita/demo/realisability/correct.con cic:/matita/demo/realisability/and_i.con cic:/matita/demo/realisability/SP_rect.con cic:/matita/demo/realisability/SP_rec.con cic:/matita/demo/realisability/SP_ind.con cic:/matita/demo/realisability/SP.ind cic:/matita/demo/realisability/Prop_OF_SP.con cic:/matita/higher_order_defs/functions/symmetric2.con cic:/matita/higher_order_defs/functions/symmetric.con cic:/matita/higher_order_defs/functions/surjective.con cic:/matita/higher_order_defs/functions/monotonic.con cic:/matita/higher_order_defs/functions/injective.con cic:/matita/higher_order_defs/functions/eq_f_g_h.con cic:/matita/higher_order_defs/functions/distributive2.con cic:/matita/higher_order_defs/functions/distributive.con cic:/matita/higher_order_defs/functions/compose.con cic:/matita/higher_order_defs/functions/associative.con cic:/matita/higher_order_defs/ordering/antisymmetric.con cic:/matita/higher_order_defs/relations/transitive.con cic:/matita/higher_order_defs/relations/tight_apart.con cic:/matita/higher_order_defs/relations/symmetric.con cic:/matita/higher_order_defs/relations/relation.con 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