The Coq standard library

Global Index | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | _ | (3647 entries)
Tactic Index | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | _ | (9 entries)
Axiom Index | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | _ | (107 entries)
Lemma Index | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | _ | (2540 entries)
Constructor Index | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | _ | (184 entries)
Inductive Index | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | _ | (118 entries)
Definition Index | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | _ | (523 entries)
Module Index | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | _ | (166 entries)

## Z

Z [inductive, in Coq.ZArith.fast_integer]
Zabs [definition, in Coq.ZArith.zarith_aux]
Zabs_dec [lemma, in Coq.ZArith.zarith_aux]
Zabs_eq [lemma, in Coq.ZArith.zarith_aux]
Zabs_non_eq [lemma, in Coq.ZArith.zarith_aux]
Zabs_pos [lemma, in Coq.ZArith.zarith_aux]
Zabs_Zsgn [lemma, in Coq.ZArith.zarith_aux]
ZArith [module]
zarith_aux [module]
ZArith_dec [module]
Zcompare [definition, in Coq.ZArith.fast_integer]
Zcompare_ANTISYM [lemma, in Coq.ZArith.fast_integer]
Zcompare_EGAL [lemma, in Coq.ZArith.fast_integer]
Zcompare_egal_dec [lemma, in Coq.ZArith.Zmisc]
Zcompare_elim [lemma, in Coq.ZArith.Zmisc]
Zcompare_eq_case [lemma, in Coq.ZArith.Zmisc]
Zcompare_et_un [lemma, in Coq.ZArith.zarith_aux]
Zcompare_n_S [lemma, in Coq.ZArith.zarith_aux]
Zcompare_rec [lemma, in Coq.ZArith.ZArith_dec]
Zcompare_trans_SUPERIEUR [lemma, in Coq.ZArith.fast_integer]
Zcompare_x_x [lemma, in Coq.ZArith.Zmisc]
Zcompare_Zmult_compatible [lemma, in Coq.ZArith.auxiliary]
Zcompare_Zmult_left [lemma, in Coq.ZArith.Zcomplements]
Zcompare_Zmult_right [lemma, in Coq.ZArith.Zcomplements]
Zcompare_Zopp [lemma, in Coq.ZArith.fast_integer]
Zcompare_Zplus_compatible [lemma, in Coq.ZArith.fast_integer]
Zcompare_Zplus_compatible2 [lemma, in Coq.ZArith.auxiliary]
Zcomplements [module]
ZC1 [lemma, in Coq.ZArith.fast_integer]
ZC2 [lemma, in Coq.ZArith.fast_integer]
ZC3 [lemma, in Coq.ZArith.fast_integer]
ZC4 [lemma, in Coq.ZArith.fast_integer]
Zdiv [definition, in Coq.ZArith.Zcomplements]
Zdiv2 [definition, in Coq.ZArith.Zmisc]
Zdiv2_pos [definition, in Coq.ZArith.Zmisc]
Zdiv_eucl [lemma, in Coq.ZArith.Zcomplements]
Zdiv_eucl_extended [lemma, in Coq.ZArith.Zcomplements]
Zdiv_eucl_POS [lemma, in Coq.ZArith.Zcomplements]
Zdiv_rest [definition, in Coq.ZArith.Zpower]
Zdiv_rest_aux [definition, in Coq.ZArith.Zpower]
Zdiv_rest_correct [lemma, in Coq.ZArith.Zpower]
Zdiv_rest_correct1 [lemma, in Coq.ZArith.Zpower]
Zdiv_rest_correct2 [lemma, in Coq.ZArith.Zpower]
Zdiv_rest_proof [constructor, in Coq.ZArith.Zpower]
Zegal_left [lemma, in Coq.ZArith.auxiliary]
Zeq_add_S [lemma, in Coq.ZArith.zarith_aux]
Zeq_bool [definition, in Coq.ZArith.Zmisc]
Zeq_plus_swap [lemma, in Coq.ZArith.Zmisc]
Zeq_S [lemma, in Coq.ZArith.zarith_aux]
Zeq_Zminus [lemma, in Coq.ZArith.Zcomplements]
ZERO [constructor, in Coq.ZArith.fast_integer]
zero [axiom, in Coq.Num.Definitions]
zero [axiom, in Coq.Num.Params]
zerob [definition, in Coq.Bool.Zerob]
Zerob [module]
zerob_false_elim [lemma, in Coq.Bool.Zerob]
zerob_false_intro [lemma, in Coq.Bool.Zerob]
zerob_true_elim [lemma, in Coq.Bool.Zerob]
zerob_true_intro [lemma, in Coq.Bool.Zerob]
zerop [lemma, in Coq.Arith.Compare_dec]
Zero_left [lemma, in Coq.ZArith.fast_integer]
ZERO_le_inj [lemma, in Coq.ZArith.Wf_Z]
ZERO_le_N_digits [lemma, in Coq.ZArith.Zlogarithm]
ZERO_le_POS [lemma, in Coq.ZArith.Zmisc]
Zero_mult_left [lemma, in Coq.ZArith.fast_integer]
Zero_mult_right [lemma, in Coq.ZArith.fast_integer]
Zero_right [lemma, in Coq.ZArith.fast_integer]
Zero_suivi_de [definition, in Coq.ZArith.fast_integer]
Zeven [definition, in Coq.ZArith.Zmisc]
Zeven_bool [definition, in Coq.ZArith.Zmisc]
Zeven_dec [lemma, in Coq.ZArith.Zmisc]
Zeven_div2 [lemma, in Coq.ZArith.Zmisc]
Zeven_not_Zodd [lemma, in Coq.ZArith.Zmisc]
Zeven_odd_dec [lemma, in Coq.ZArith.Zmisc]
Zge [definition, in Coq.ZArith.zarith_aux]
Zge_bool [definition, in Coq.ZArith.Zmisc]
Zge_iff_le [lemma, in Coq.ZArith.Zmisc]
Zge_is_le_bool [lemma, in Coq.ZArith.Zmisc]
Zge_le [lemma, in Coq.ZArith.zarith_aux]
Zge_left [lemma, in Coq.ZArith.auxiliary]
Zge_mult_simpl [lemma, in Coq.ZArith.auxiliary]
Zge_trans [lemma, in Coq.ZArith.zarith_aux]
Zge_Zcompare [lemma, in Coq.ZArith.Zmisc]
Zge_Zmult_pos_compat [lemma, in Coq.ZArith.auxiliary]
Zge_Zmult_pos_left [lemma, in Coq.ZArith.auxiliary]
Zge_Zmult_pos_right [lemma, in Coq.ZArith.auxiliary]
Zgt [definition, in Coq.ZArith.zarith_aux]
Zgt0_le_pred [lemma, in Coq.ZArith.Zcomplements]
Zgt_antirefl [lemma, in Coq.ZArith.zarith_aux]
Zgt_bool [definition, in Coq.ZArith.Zmisc]
Zgt_iff_lt [lemma, in Coq.ZArith.Zmisc]
Zgt_is_le_bool [lemma, in Coq.ZArith.Zmisc]
Zgt_left [lemma, in Coq.ZArith.auxiliary]
Zgt_left_gt [lemma, in Coq.ZArith.auxiliary]
Zgt_left_rev [lemma, in Coq.ZArith.auxiliary]
Zgt_le_S [lemma, in Coq.ZArith.zarith_aux]
Zgt_le_trans [lemma, in Coq.ZArith.zarith_aux]
Zgt_lt [lemma, in Coq.ZArith.zarith_aux]
Zgt_mult_simpl [lemma, in Coq.ZArith.auxiliary]
Zgt_not_le [lemma, in Coq.ZArith.zarith_aux]
Zgt_not_sym [lemma, in Coq.ZArith.zarith_aux]
Zgt_n_S [lemma, in Coq.ZArith.zarith_aux]
Zgt_pred [lemma, in Coq.ZArith.zarith_aux]
Zgt_reg_l [lemma, in Coq.ZArith.zarith_aux]
Zgt_reg_r [lemma, in Coq.ZArith.zarith_aux]
Zgt_S [lemma, in Coq.ZArith.zarith_aux]
Zgt_Sn_n [lemma, in Coq.ZArith.zarith_aux]
Zgt_square_simpl [lemma, in Coq.ZArith.auxiliary]
Zgt_S_le [lemma, in Coq.ZArith.zarith_aux]
Zgt_S_n [lemma, in Coq.ZArith.zarith_aux]
Zgt_trans [lemma, in Coq.ZArith.zarith_aux]
Zgt_trans_S [lemma, in Coq.ZArith.zarith_aux]
Zgt_Zcompare [lemma, in Coq.ZArith.Zmisc]
Zgt_ZERO_mult [lemma, in Coq.ZArith.auxiliary]
Zgt_Zmult_left [lemma, in Coq.ZArith.Zcomplements]
Zgt_Zmult_right [lemma, in Coq.ZArith.Zcomplements]
Zhints [module]
Zle [definition, in Coq.ZArith.zarith_aux]
Zle_antisym [lemma, in Coq.ZArith.zarith_aux]
Zle_bool [definition, in Coq.ZArith.Zmisc]
Zle_bool_antisym [lemma, in Coq.ZArith.Zmisc]
Zle_bool_imp_le [lemma, in Coq.ZArith.Zmisc]
Zle_bool_plus_mono [lemma, in Coq.ZArith.Zmisc]
Zle_bool_refl [lemma, in Coq.ZArith.Zmisc]
Zle_bool_total [lemma, in Coq.ZArith.Zmisc]
Zle_bool_trans [lemma, in Coq.ZArith.Zmisc]
Zle_ge [lemma, in Coq.ZArith.zarith_aux]
Zle_gt_S [lemma, in Coq.ZArith.zarith_aux]
Zle_gt_trans [lemma, in Coq.ZArith.zarith_aux]
Zle_imp_le_bool [lemma, in Coq.ZArith.Zmisc]
Zle_is_le_bool [lemma, in Coq.ZArith.Zmisc]
Zle_left [lemma, in Coq.ZArith.auxiliary]
Zle_left_rev [lemma, in Coq.ZArith.auxiliary]
Zle_le_S [lemma, in Coq.ZArith.zarith_aux]
Zle_lt_n_Sm [lemma, in Coq.ZArith.zarith_aux]
Zle_lt_or_eq [lemma, in Coq.ZArith.zarith_aux]
Zle_lt_reg [lemma, in Coq.ZArith.zarith_aux]
Zle_lt_trans [lemma, in Coq.ZArith.zarith_aux]
Zle_min_l [lemma, in Coq.ZArith.zarith_aux]
Zle_min_r [lemma, in Coq.ZArith.zarith_aux]
Zle_mult [lemma, in Coq.ZArith.auxiliary]
Zle_mult_approx [lemma, in Coq.ZArith.auxiliary]
Zle_mult_simpl [lemma, in Coq.ZArith.auxiliary]
Zle_n [lemma, in Coq.ZArith.zarith_aux]
Zle_not_gt [lemma, in Coq.ZArith.zarith_aux]
Zle_not_lt [lemma, in Coq.ZArith.zarith_aux]
Zle_n_S [lemma, in Coq.ZArith.zarith_aux]
Zle_n_Sn [lemma, in Coq.ZArith.zarith_aux]
Zle_or_lt [lemma, in Coq.ZArith.zarith_aux]
Zle_plus_minus [lemma, in Coq.ZArith.zarith_aux]
Zle_plus_plus [lemma, in Coq.ZArith.zarith_aux]
Zle_plus_swap [lemma, in Coq.ZArith.Zmisc]
Zle_pred_n [lemma, in Coq.ZArith.zarith_aux]
Zle_refl [lemma, in Coq.ZArith.zarith_aux]
Zle_reg_l [lemma, in Coq.ZArith.zarith_aux]
Zle_reg_r [lemma, in Coq.ZArith.zarith_aux]
Zle_Sn_n [lemma, in Coq.ZArith.zarith_aux]
Zle_S_gt [lemma, in Coq.ZArith.zarith_aux]
Zle_S_n [lemma, in Coq.ZArith.zarith_aux]
Zle_trans [lemma, in Coq.ZArith.zarith_aux]
Zle_trans_S [lemma, in Coq.ZArith.zarith_aux]
Zle_Zcompare [lemma, in Coq.ZArith.Zmisc]
Zle_ZERO_mult [lemma, in Coq.ZArith.auxiliary]
Zle_Zmult_pos_left [lemma, in Coq.ZArith.auxiliary]
Zle_Zmult_pos_right [lemma, in Coq.ZArith.auxiliary]
Zle_Zmult_right [lemma, in Coq.ZArith.Zcomplements]
Zle_Zmult_right2 [lemma, in Coq.ZArith.Zcomplements]
ZLII [lemma, in Coq.ZArith.fast_integer]
ZLIS [lemma, in Coq.ZArith.fast_integer]
Zlogarithm [module]
ZLSI [lemma, in Coq.ZArith.fast_integer]
ZLSS [lemma, in Coq.ZArith.fast_integer]
Zlt [definition, in Coq.ZArith.zarith_aux]
Zlt_bool [definition, in Coq.ZArith.Zmisc]
Zlt_gt [lemma, in Coq.ZArith.zarith_aux]
Zlt_is_le_bool [lemma, in Coq.ZArith.Zmisc]
Zlt_left [lemma, in Coq.ZArith.auxiliary]
Zlt_left_lt [lemma, in Coq.ZArith.auxiliary]
Zlt_left_rev [lemma, in Coq.ZArith.auxiliary]
Zlt_le_reg [lemma, in Coq.ZArith.zarith_aux]
Zlt_le_S [lemma, in Coq.ZArith.zarith_aux]
Zlt_le_trans [lemma, in Coq.ZArith.zarith_aux]
Zlt_le_weak [lemma, in Coq.ZArith.zarith_aux]
Zlt_lt_double [lemma, in Coq.ZArith.Zpower]
Zlt_minus [lemma, in Coq.ZArith.zarith_aux]
Zlt_not_eq [lemma, in Coq.ZArith.Zmisc]
Zlt_not_le [lemma, in Coq.ZArith.zarith_aux]
Zlt_not_sym [lemma, in Coq.ZArith.zarith_aux]
Zlt_n_n [lemma, in Coq.ZArith.zarith_aux]
Zlt_n_S [lemma, in Coq.ZArith.zarith_aux]
Zlt_n_Sm_le [lemma, in Coq.ZArith.zarith_aux]
Zlt_n_Sn [lemma, in Coq.ZArith.zarith_aux]
Zlt_O_minus_lt [lemma, in Coq.ZArith.zarith_aux]
Zlt_plus_swap [lemma, in Coq.ZArith.Zmisc]
Zlt_pred [lemma, in Coq.ZArith.zarith_aux]
Zlt_pred_n_n [lemma, in Coq.ZArith.zarith_aux]
Zlt_reg_l [lemma, in Coq.ZArith.zarith_aux]
Zlt_reg_r [lemma, in Coq.ZArith.zarith_aux]
Zlt_S [lemma, in Coq.ZArith.zarith_aux]
Zlt_S_n [lemma, in Coq.ZArith.zarith_aux]
Zlt_trans [lemma, in Coq.ZArith.zarith_aux]
Zlt_Zcompare [lemma, in Coq.ZArith.Zmisc]
Zlt_ZERO_pred_le_ZERO [lemma, in Coq.ZArith.Zmisc]
Zlt_Zmult_left [lemma, in Coq.ZArith.Zcomplements]
Zlt_Zmult_right [lemma, in Coq.ZArith.Zcomplements]
Zlt_Zmult_right2 [lemma, in Coq.ZArith.Zcomplements]
Zlt_Zplus [lemma, in Coq.ZArith.Zcomplements]
ZL0 [lemma, in Coq.ZArith.fast_integer]
ZL1 [lemma, in Coq.ZArith.fast_integer]
ZL10 [lemma, in Coq.ZArith.fast_integer]
ZL11 [lemma, in Coq.ZArith.fast_integer]
ZL12 [lemma, in Coq.ZArith.fast_integer]
ZL12bis [lemma, in Coq.ZArith.fast_integer]
ZL13 [lemma, in Coq.ZArith.fast_integer]
ZL14 [lemma, in Coq.ZArith.fast_integer]
ZL15 [lemma, in Coq.ZArith.fast_integer]
ZL16 [lemma, in Coq.ZArith.fast_integer]
ZL17 [lemma, in Coq.ZArith.fast_integer]
ZL2 [lemma, in Coq.ZArith.fast_integer]
ZL3 [lemma, in Coq.ZArith.fast_integer]
ZL4 [lemma, in Coq.ZArith.fast_integer]
ZL4_inf [lemma, in Coq.ZArith.Wf_Z]
ZL5 [lemma, in Coq.ZArith.fast_integer]
ZL6 [lemma, in Coq.ZArith.fast_integer]
ZL7 [lemma, in Coq.ZArith.fast_integer]
ZL8 [lemma, in Coq.ZArith.fast_integer]
Zmin [definition, in Coq.ZArith.zarith_aux]
Zminus [definition, in Coq.ZArith.zarith_aux]
Zminus_n_n [lemma, in Coq.ZArith.zarith_aux]
Zminus_n_O [lemma, in Coq.ZArith.zarith_aux]
Zminus_plus [lemma, in Coq.ZArith.zarith_aux]
Zminus_plus_simpl [lemma, in Coq.ZArith.zarith_aux]
Zminus_Sn_m [lemma, in Coq.ZArith.zarith_aux]
Zminus_Zeq [lemma, in Coq.ZArith.Zcomplements]
Zminus_Zplus_compatible [lemma, in Coq.ZArith.Zmisc]
Zmin_case [lemma, in Coq.ZArith.zarith_aux]
Zmin_n_n [lemma, in Coq.ZArith.zarith_aux]
Zmin_or [lemma, in Coq.ZArith.zarith_aux]
Zmin_plus [lemma, in Coq.ZArith.Zmisc]
Zmin_SS [lemma, in Coq.ZArith.zarith_aux]
Zmisc [module]
Zmod [definition, in Coq.ZArith.Zcomplements]
Zmult [definition, in Coq.ZArith.fast_integer]
Zmult_assoc [lemma, in Coq.ZArith.fast_integer]
Zmult_assoc_l [lemma, in Coq.ZArith.zarith_aux]
Zmult_assoc_r [lemma, in Coq.ZArith.zarith_aux]
Zmult_eq [lemma, in Coq.ZArith.auxiliary]
Zmult_gt [lemma, in Coq.ZArith.auxiliary]
Zmult_le [lemma, in Coq.ZArith.auxiliary]
Zmult_le_approx [lemma, in Coq.ZArith.auxiliary]
Zmult_lt [lemma, in Coq.ZArith.auxiliary]
Zmult_minus_distr [lemma, in Coq.ZArith.zarith_aux]
Zmult_n_O [lemma, in Coq.ZArith.zarith_aux]
Zmult_n_Sm [lemma, in Coq.ZArith.zarith_aux]
Zmult_n_1 [lemma, in Coq.ZArith.zarith_aux]
Zmult_one [lemma, in Coq.ZArith.fast_integer]
Zmult_permute [lemma, in Coq.ZArith.zarith_aux]
Zmult_plus_distr [definition, in Coq.ZArith.zarith_aux]
Zmult_plus_distr_l [lemma, in Coq.ZArith.zarith_aux]
Zmult_plus_distr_r [lemma, in Coq.ZArith.fast_integer]
Zmult_reg_left [lemma, in Coq.ZArith.Zcomplements]
Zmult_reg_right [lemma, in Coq.ZArith.Zcomplements]
Zmult_Sm_n [lemma, in Coq.ZArith.zarith_aux]
Zmult_sym [lemma, in Coq.ZArith.fast_integer]
Zmult_zero [lemma, in Coq.ZArith.Zcomplements]
Zmult_Zminus_distr_l [lemma, in Coq.ZArith.Zcomplements]
Zmult_Zminus_distr_r [lemma, in Coq.ZArith.Zcomplements]
Zmult_Zopp_left [lemma, in Coq.ZArith.auxiliary]
Zmult_Zopp_Zopp [lemma, in Coq.ZArith.fast_integer]
Zmult_Zplus_distr [definition, in Coq.ZArith.zarith_aux]
Zmult_1_n [lemma, in Coq.ZArith.zarith_aux]
Zne [definition, in Coq.ZArith.auxiliary]
Zneq_bool [definition, in Coq.ZArith.Zmisc]
Zne_left [lemma, in Coq.ZArith.auxiliary]
Znot_eq_S [lemma, in Coq.ZArith.zarith_aux]
Zn_Sn [lemma, in Coq.ZArith.zarith_aux]
Zodd [definition, in Coq.ZArith.Zmisc]
Zodd_bool [definition, in Coq.ZArith.Zmisc]
Zodd_dec [lemma, in Coq.ZArith.Zmisc]
Zodd_div2 [lemma, in Coq.ZArith.Zmisc]
Zodd_not_Zeven [lemma, in Coq.ZArith.Zmisc]
Zone_min_pos [lemma, in Coq.ZArith.Zmisc]
Zone_pos [lemma, in Coq.ZArith.Zmisc]
Zopp [definition, in Coq.ZArith.fast_integer]
Zopp_intro [lemma, in Coq.ZArith.fast_integer]
Zopp_NEG [lemma, in Coq.ZArith.fast_integer]
Zopp_one [lemma, in Coq.ZArith.auxiliary]
Zopp_Zmult [lemma, in Coq.ZArith.fast_integer]
Zopp_Zmult_l [lemma, in Coq.ZArith.auxiliary]
Zopp_Zmult_r [lemma, in Coq.ZArith.auxiliary]
Zopp_Zopp [lemma, in Coq.ZArith.fast_integer]
Zopp_Zplus [lemma, in Coq.ZArith.fast_integer]
Zplus [definition, in Coq.ZArith.fast_integer]
Zplus_assoc [lemma, in Coq.ZArith.fast_integer]
Zplus_assoc_l [lemma, in Coq.ZArith.zarith_aux]
Zplus_assoc_r [lemma, in Coq.ZArith.zarith_aux]
Zplus_inverse_l [lemma, in Coq.ZArith.fast_integer]
Zplus_inverse_r [lemma, in Coq.ZArith.fast_integer]
Zplus_minus [lemma, in Coq.ZArith.zarith_aux]
Zplus_n_O [lemma, in Coq.ZArith.zarith_aux]
Zplus_n_Sm [lemma, in Coq.ZArith.zarith_aux]
Zplus_permute [lemma, in Coq.ZArith.zarith_aux]
Zplus_simpl [lemma, in Coq.ZArith.fast_integer]
Zplus_Snm_nSm [lemma, in Coq.ZArith.zarith_aux]
Zplus_sym [lemma, in Coq.ZArith.fast_integer]
Zplus_S_n [lemma, in Coq.ZArith.auxiliary]
Zplus_unit_left [lemma, in Coq.ZArith.zarith_aux]
Zplus_unit_right [lemma, in Coq.ZArith.zarith_aux]
Zpower [definition, in Coq.ZArith.Zpower]
Zpower [module]
Zpower_exp [lemma, in Coq.ZArith.Zpower]
Zpower_nat [definition, in Coq.ZArith.Zpower]
Zpower_nat_is_exp [lemma, in Coq.ZArith.Zpower]
Zpower_nat_powerRZ [lemma, in Coq.Reals.Rfunctions]
Zpower_nat_powerRZ_absolu [lemma, in Coq.Reals.Rfunctions]
Zpower_NR0 [lemma, in Coq.Reals.Rfunctions]
Zpower_pos [definition, in Coq.ZArith.Zpower]
Zpower_pos_is_exp [lemma, in Coq.ZArith.Zpower]
Zpower_pos_nat [lemma, in Coq.ZArith.Zpower]
Zpred [definition, in Coq.ZArith.zarith_aux]
Zpred_Sn [lemma, in Coq.ZArith.zarith_aux]
Zred_factor0 [lemma, in Coq.ZArith.auxiliary]
Zred_factor1 [lemma, in Coq.ZArith.auxiliary]
Zred_factor2 [lemma, in Coq.ZArith.auxiliary]
Zred_factor3 [lemma, in Coq.ZArith.auxiliary]
Zred_factor4 [lemma, in Coq.ZArith.auxiliary]
Zred_factor5 [lemma, in Coq.ZArith.auxiliary]
Zred_factor6 [lemma, in Coq.ZArith.auxiliary]
ZS [lemma, in Coq.ZArith.fast_integer]
Zs [definition, in Coq.ZArith.zarith_aux]
Zsgn [definition, in Coq.ZArith.zarith_aux]
Zsgn_Zabs [lemma, in Coq.ZArith.zarith_aux]
ZSH [lemma, in Coq.ZArith.fast_integer]
Zsimpl_gt_plus_l [lemma, in Coq.ZArith.zarith_aux]
Zsimpl_gt_plus_r [lemma, in Coq.ZArith.zarith_aux]
Zsimpl_le_plus_l [lemma, in Coq.ZArith.zarith_aux]
Zsimpl_le_plus_r [lemma, in Coq.ZArith.zarith_aux]
Zsimpl_lt_plus_l [lemma, in Coq.ZArith.zarith_aux]
Zsimpl_lt_plus_r [lemma, in Coq.ZArith.zarith_aux]
Zsimpl_plus_l [lemma, in Coq.ZArith.zarith_aux]
Zsyntax [module]
Zs_pred [lemma, in Coq.ZArith.zarith_aux]
Z_div_mod [lemma, in Coq.ZArith.Zcomplements]
Z_eq_dec [lemma, in Coq.ZArith.ZArith_dec]
Z_eq_mult [lemma, in Coq.ZArith.auxiliary]
Z_ge_dec [lemma, in Coq.ZArith.ZArith_dec]
Z_ge_lt_dec [lemma, in Coq.ZArith.ZArith_dec]
Z_gt_dec [lemma, in Coq.ZArith.ZArith_dec]
Z_gt_le_dec [lemma, in Coq.ZArith.ZArith_dec]
Z_le_dec [lemma, in Coq.ZArith.ZArith_dec]
Z_le_gt_dec [lemma, in Coq.ZArith.ZArith_dec]
Z_le_lt_eq_dec [lemma, in Coq.ZArith.ZArith_dec]
Z_lt_abs_induction [lemma, in Coq.ZArith.Zcomplements]
Z_lt_abs_rec [lemma, in Coq.ZArith.Zcomplements]
Z_lt_dec [lemma, in Coq.ZArith.ZArith_dec]
Z_lt_ge_dec [lemma, in Coq.ZArith.ZArith_dec]
Z_lt_induction [lemma, in Coq.ZArith.Wf_Z]
Z_lt_rec [lemma, in Coq.ZArith.Wf_Z]
Z_modulo_2 [lemma, in Coq.ZArith.Zmisc]
Z_mod_bounds [lemma, in Coq.ZArith.Zcomplements]
Z_noteq_dec [definition, in Coq.ZArith.ZArith_dec]
Z_notzerop [definition, in Coq.ZArith.ZArith_dec]
Z_of_entier [definition, in Coq.ZArith.Zmisc]
Z_R_minus [lemma, in Coq.Reals.Rbase]
Z_zerop [lemma, in Coq.ZArith.ZArith_dec]

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