Standard Library | The Coq Proof Assistant

The Coq Proof Assistant

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 | _ | other | (68863 entries)
Notation 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 | _ | other | (985 entries)
Binder 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 | _ | other | (44709 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 | _ | other | (761 entries)
Variable 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 | _ | other | (1497 entries)
Library 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 | _ | other | (570 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 | _ | other | (11380 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 | _ | other | (976 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 | _ | other | (603 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 | _ | other | (298 entries)
Projection 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 | _ | other | (460 entries)
Section 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 | _ | other | (476 entries)
Instance 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 | _ | other | (811 entries)
Abbreviation 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 | _ | other | (1157 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 | _ | other | (4018 entries)
Record 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 | _ | other | (162 entries)

## Z (abbreviation)

Z [in Coq.ZArith.BinInt]
Zabs_nat_compare [in Coq.ZArith.Zabs]
Zabs_nat_Zminus [in Coq.ZArith.Zabs]
Zabs_nat_Zplus [in Coq.ZArith.Zabs]
Zabs_nat_Zsucc [in Coq.ZArith.Zabs]
Zabs_nat_mult [in Coq.ZArith.Zabs]
Zabs_nat_Z_of_nat [in Coq.ZArith.Zabs]
Zabs_Zmult [in Coq.ZArith.Zabs]
Zabs_Zsgn [in Coq.ZArith.Zabs]
Zabs_eq_case [in Coq.ZArith.Zabs]
Zabs_pos [in Coq.ZArith.Zabs]
Zabs_Zopp [in Coq.ZArith.Zabs]
Zabs_non_eq [in Coq.ZArith.Zabs]
Zabs_N_mult [in Coq.ZArith.Znat]
Zabs_N_mult_abs [in Coq.ZArith.Znat]
Zabs_N_plus [in Coq.ZArith.Znat]
Zabs_N_plus_abs [in Coq.ZArith.Znat]
Zabs_N_succ [in Coq.ZArith.Znat]
Zabs_N_succ_abs [in Coq.ZArith.Znat]
Zabs_of_N [in Coq.ZArith.Znat]
Zabs_non_eq [in Coq.ZArith.Zcompare]
ZAddOrderProp.sub_nonpos [in Coq.Numbers.Integer.Abstract.ZAddOrder]
ZAddOrderProp.sub_neg [in Coq.Numbers.Integer.Abstract.ZAddOrder]
ZAddOrderProp.sub_nonneg [in Coq.Numbers.Integer.Abstract.ZAddOrder]
ZAddOrderProp.sub_pos [in Coq.Numbers.Integer.Abstract.ZAddOrder]
ZBitsProp.lnextcarry [in Coq.Numbers.Integer.Abstract.ZBits]
ZBitsProp.lxor3 [in Coq.Numbers.Integer.Abstract.ZBits]
ZBitsProp.nextcarry [in Coq.Numbers.Integer.Abstract.ZBits]
ZBitsProp.xor3 [in Coq.Numbers.Integer.Abstract.ZBits]
Zcompare_Eq_iff_eq [in Coq.ZArith.Zcompare]
Zcompare_Eq_eq [in Coq.ZArith.Zcompare]
ZC1 [in Coq.PArith.BinPos]
ZC2 [in Coq.PArith.BinPos]
Zdivide_1 [in Coq.ZArith.Znumtheory]
Zdivide_factor_l [in Coq.ZArith.Znumtheory]
Zdivide_factor_r [in Coq.ZArith.Znumtheory]
Zdivide_mult_r [in Coq.ZArith.Znumtheory]
Zdivide_mult_l [in Coq.ZArith.Znumtheory]
Zdivide_minus_l [in Coq.ZArith.Znumtheory]
Zdivide_plus_r [in Coq.ZArith.Znumtheory]
Zdivide_0 [in Coq.ZArith.Znumtheory]
Zdiv_eucl_POS [in Coq.ZArith.Zdiv]
Zdouble_plus_one_mult [in Coq.ZArith.BinInt]
Zdouble_mult [in Coq.ZArith.BinInt]
Zdouble_minus_one [in Coq.ZArith.BinInt]
Zdouble_plus_one [in Coq.ZArith.BinInt]
Zeq_le [in Coq.ZArith.Zorder]
zero [in Coq.Init.Decimal]
zero [in Coq.Init.Hexadecimal]
ZeroSuccPredNotation.P [in Coq.Numbers.NatInt.NZAxioms]
ZeroSuccPredNotation.S [in Coq.Numbers.NatInt.NZAxioms]
Zeven_bool_pred [in Coq.ZArith.Zeven]
Zeven_bool_succ [in Coq.ZArith.Zeven]
Zeven_bool [in Coq.ZArith.Zeven]
Zgcd_1 [in Coq.ZArith.Znumtheory]
Zgcd_0 [in Coq.ZArith.Znumtheory]
Zgcd_Zabs [in Coq.ZArith.Znumtheory]
Zgcd_inv_0_r [in Coq.ZArith.Znumtheory]
Zgcd_inv_0_l [in Coq.ZArith.Znumtheory]
Zgcd_is_pos [in Coq.ZArith.Znumtheory]
Zge_iff_le [in Coq.ZArith.Zorder]
Zge_bool [in Coq.ZArith.Zbool]
Zgt_iff_lt [in Coq.ZArith.Zorder]
Zgt_bool [in Coq.ZArith.Zbool]
Zind [in Coq.ZArith.BinInt]
Zle_max_compat_l [in Coq.ZArith.Zmax]
Zle_max_compat_r [in Coq.ZArith.Zmax]
Zle_min_compat_l [in Coq.ZArith.Zmin]
Zle_min_compat_r [in Coq.ZArith.Zmin]
Zle_plus_swap [in Coq.ZArith.Zorder]
Zle_le_succ [in Coq.ZArith.Zorder]
Zle_pred [in Coq.ZArith.Zorder]
Zle_succ [in Coq.ZArith.Zorder]
Zle_or_lt [in Coq.ZArith.Zorder]
Zle_lt_or_eq_iff [in Coq.ZArith.Zorder]
Zle_antisym [in Coq.ZArith.Zorder]
Zle_bool_refl [in Coq.ZArith.Zbool]
Zle_bool [in Coq.ZArith.Zbool]
Zlt_O_minus_lt [in Coq.ZArith.Zorder]
Zlt_minus_simpl_swap [in Coq.ZArith.Zorder]
Zlt_plus_swap [in Coq.ZArith.Zorder]
Zlt_lt_succ [in Coq.ZArith.Zorder]
Zlt_pred [in Coq.ZArith.Zorder]
Zlt_succ [in Coq.ZArith.Zorder]
Zlt_le_weak [in Coq.ZArith.Zorder]
Zlt_not_eq [in Coq.ZArith.Zorder]
Zlt_asym [in Coq.ZArith.Zorder]
Zlt_bool [in Coq.ZArith.Zbool]
ZL4 [in Coq.PArith.Pnat]
Zmax_le_prime_inf [in Coq.ZArith.Zmax]
Zmax_irreducible_inf [in Coq.ZArith.Zmax]
Zmax_plus [in Coq.ZArith.Zmax]
Zmax_SS [in Coq.ZArith.Zmax]
Zmax_le_prime [in Coq.ZArith.Zmax]
Zmax_irreducible_dec [in Coq.ZArith.Zmax]
Zmax_n_n [in Coq.ZArith.Zmax]
Zmax_idempotent [in Coq.ZArith.Zmax]
Zmax_right [in Coq.ZArith.Zmax]
Zmax_min_modular_r [in Coq.ZArith.Zminmax]
Zmax_min_distr_r [in Coq.ZArith.Zminmax]
Zmax_min_absorption_r_r [in Coq.ZArith.Zminmax]
Zmax1 [in Coq.ZArith.Zmax]
Zmax2 [in Coq.ZArith.Zmax]
Zminus [in Coq.ZArith.BinInt]
Zminus_plus [in Coq.ZArith.BinInt]
Zminus_succ_r [in Coq.ZArith.BinInt]
Zminus_plus_distr [in Coq.ZArith.BinInt]
Zminus_diag [in Coq.ZArith.BinInt]
Zminus_0_r [in Coq.ZArith.BinInt]
Zmin_or [in Coq.ZArith.Zmin]
Zmin_plus [in Coq.ZArith.Zmin]
Zmin_SS [in Coq.ZArith.Zmin]
Zmin_irreducible_inf [in Coq.ZArith.Zmin]
Zmin_n_n [in Coq.ZArith.Zmin]
Zmin_idempotent [in Coq.ZArith.Zmin]
Zmin_max_modular_r [in Coq.ZArith.Zminmax]
Zmin_max_distr_r [in Coq.ZArith.Zminmax]
Zmin_max_absorption_r_r [in Coq.ZArith.Zminmax]
Zmod [in Coq.ZArith.Zdiv]
Zmod_neg_bound [in Coq.ZArith.Zdiv]
Zmod_pos_bound [in Coq.ZArith.Zdiv]
Zmod_POS_bound [in Coq.ZArith.Zdiv]
ZMulOrderProp.le_0_square [in Coq.Numbers.Integer.Abstract.ZMulOrder]
ZMulOrderProp.mul_nonpos [in Coq.Numbers.Integer.Abstract.ZMulOrder]
ZMulOrderProp.mul_nonneg [in Coq.Numbers.Integer.Abstract.ZMulOrder]
ZMulOrderProp.mul_neg [in Coq.Numbers.Integer.Abstract.ZMulOrder]
ZMulOrderProp.mul_pos [in Coq.Numbers.Integer.Abstract.ZMulOrder]
Zmult [in Coq.ZArith.BinInt]
Zmult_succ_r [in Coq.ZArith.BinInt]
Zmult_succ_l [in Coq.ZArith.BinInt]
Zmult_reg_r [in Coq.ZArith.BinInt]
Zmult_reg_l [in Coq.ZArith.BinInt]
Zmult_minus_distr_r [in Coq.ZArith.BinInt]
Zmult_plus_distr_l [in Coq.ZArith.BinInt]
Zmult_plus_distr_r [in Coq.ZArith.BinInt]
Zmult_opp_comm [in Coq.ZArith.BinInt]
Zmult_opp_opp [in Coq.ZArith.BinInt]
Zmult_1_inversion_l [in Coq.ZArith.BinInt]
Zmult_permute [in Coq.ZArith.BinInt]
Zmult_assoc [in Coq.ZArith.BinInt]
Zmult_comm [in Coq.ZArith.BinInt]
Zmult_1_r [in Coq.ZArith.BinInt]
Zmult_1_l [in Coq.ZArith.BinInt]
Zmult_0_r [in Coq.ZArith.BinInt]
Zmult_0_l [in Coq.ZArith.BinInt]
Zmult_lt_O_compat [in Coq.ZArith.Zorder]
Zmult_lt_0_compat [in Coq.ZArith.Zorder]
Zmult_le_0_compat [in Coq.ZArith.Zorder]
Zmult_divide_compat_r [in Coq.ZArith.Znumtheory]
Zmult_divide_compat_l [in Coq.ZArith.Znumtheory]
Zneg [in Coq.ZArith.BinInt]
Zneg_plus_distr [in Coq.ZArith.BinInt]
Zneg_xO [in Coq.ZArith.BinInt]
Zneg_xI [in Coq.ZArith.BinInt]
Zodd_bool_pred [in Coq.ZArith.Zeven]
Zodd_bool_succ [in Coq.ZArith.Zeven]
Zodd_bool [in Coq.ZArith.Zeven]
Zone_divide [in Coq.ZArith.Znumtheory]
Zopp_neg [in Coq.ZArith.BinInt]
Zopp_eq_mult_neg_1 [in Coq.ZArith.BinInt]
Zopp_mult_distr_l_reverse [in Coq.ZArith.BinInt]
Zopp_plus_distr [in Coq.ZArith.BinInt]
Zplus [in Coq.ZArith.BinInt]
Zplus_succ_r [in Coq.ZArith.BinInt]
Zplus_succ_comm [in Coq.ZArith.BinInt]
Zplus_succ_l [in Coq.ZArith.BinInt]
Zplus_reg_l [in Coq.ZArith.BinInt]
Zplus_permute [in Coq.ZArith.BinInt]
Zplus_assoc [in Coq.ZArith.BinInt]
Zplus_opp_l [in Coq.ZArith.BinInt]
Zplus_opp_r [in Coq.ZArith.BinInt]
Zplus_comm [in Coq.ZArith.BinInt]
Zplus_0_r [in Coq.ZArith.BinInt]
Zplus_0_l [in Coq.ZArith.BinInt]
Zplus_max_distr_r [in Coq.ZArith.Zmax]
Zplus_max_distr_l [in Coq.ZArith.Zmax]
Zplus_min_distr_r [in Coq.ZArith.Zmin]
Zplus_le_0_compat [in Coq.ZArith.Zorder]
Zplus_lt_compat [in Coq.ZArith.Zorder]
Zplus_le_compat [in Coq.ZArith.Zorder]
Zplus_le_lt_compat [in Coq.ZArith.Zorder]
Zplus_lt_le_compat [in Coq.ZArith.Zorder]
ZPminus [in Coq.ZArith.BinInt]
Zpos [in Coq.ZArith.BinInt]
Zpos_plus_distr [in Coq.ZArith.BinInt]
Zpos_eq_rev [in Coq.ZArith.BinInt]
Zpos_minus_morphism [in Coq.ZArith.BinInt]
Zpos_mult_morphism [in Coq.ZArith.BinInt]
Zpos_succ_morphism [in Coq.ZArith.BinInt]
Zpos_xO [in Coq.ZArith.BinInt]
Zpos_xI [in Coq.ZArith.BinInt]
Zpos_minus [in Coq.ZArith.Zmax]
Zpos_max [in Coq.ZArith.Zmax]
Zpos_min [in Coq.ZArith.Zmin]
Zpos_eq_Z_of_nat_o_nat_of_P [in Coq.ZArith.Znat]
Zpower [in Coq.ZArith.Zpow_def]
Zpower_nat_Zpower [in Coq.ZArith.Zpow_facts]
Zpower_le_monotone2 [in Coq.ZArith.Zpow_facts]
Zpower_mult [in Coq.ZArith.Zpow_facts]
Zpower_Zsucc [in Coq.ZArith.Zpow_facts]
Zpower_Zabs [in Coq.ZArith.Zpow_facts]
Zpower_ge_0 [in Coq.ZArith.Zpow_facts]
Zpower_gt_0 [in Coq.ZArith.Zpow_facts]
Zpower_2 [in Coq.ZArith.Zpow_facts]
Zpower_0_r [in Coq.ZArith.Zpow_facts]
Zpower_0_l [in Coq.ZArith.Zpow_facts]
Zpower_1_l [in Coq.ZArith.Zpow_facts]
Zpower_1_r [in Coq.ZArith.Zpow_facts]
Zpower_Ppow [in Coq.ZArith.Zpow_def]
Zpower_neg_r [in Coq.ZArith.Zpow_def]
Zpower_succ_r [in Coq.ZArith.Zpow_def]
Zpower_0_r [in Coq.ZArith.Zpow_def]
Zpower_pos [in Coq.ZArith.Zpow_def]
Zrem_lt [in Coq.ZArith.Zquot]
Zsgn_null [in Coq.ZArith.Zabs]
Zsgn_neg [in Coq.ZArith.Zabs]
Zsgn_pos [in Coq.ZArith.Zabs]
Zsgn_Zopp [in Coq.ZArith.Zabs]
Zsgn_Zmult [in Coq.ZArith.Zabs]
Zsgn_Zabs [in Coq.ZArith.Zabs]
Zsgn_m1 [in Coq.ZArith.Zcompare]
Zsgn_1 [in Coq.ZArith.Zcompare]
Zsgn_0 [in Coq.ZArith.Zcompare]
Zsquare_correct [in Coq.ZArith.Zpow_facts]
Zsucc_discr [in Coq.ZArith.BinInt]
Zsucc'_discr [in Coq.ZArith.BinInt]
Z_ind [in Coq.ZArith.BinInt]
Z_rec [in Coq.ZArith.BinInt]
Z_rect [in Coq.ZArith.BinInt]
Z_of_N [in Coq.ZArith.BinInt]
Z_of_nat [in Coq.ZArith.BinInt]
Z_div_mod_eq_full [in Coq.ZArith.Zdiv]
Z_as_Int.mult [in Coq.ZArith.Int]
Z_as_Int.minus [in Coq.ZArith.Int]
Z_as_Int.plus [in Coq.ZArith.Int]
Z_quot_mult [in Coq.ZArith.Zquot]
Z_quot_rem_eq [in Coq.ZArith.Zquot]
Z_of_N_max [in Coq.ZArith.Znat]
Z_of_N_min [in Coq.ZArith.Znat]
Z_of_N_succ [in Coq.ZArith.Znat]
Z_of_N_minus [in Coq.ZArith.Znat]
Z_of_N_mult [in Coq.ZArith.Znat]
Z_of_N_plus [in Coq.ZArith.Znat]
Z_of_N_le_0 [in Coq.ZArith.Znat]
Z_of_N_abs [in Coq.ZArith.Znat]
Z_of_N_pos [in Coq.ZArith.Znat]
Z_of_N_gt_rev [in Coq.ZArith.Znat]
Z_of_N_ge_rev [in Coq.ZArith.Znat]
Z_of_N_lt_rev [in Coq.ZArith.Znat]
Z_of_N_le_rev [in Coq.ZArith.Znat]
Z_of_N_gt [in Coq.ZArith.Znat]
Z_of_N_ge [in Coq.ZArith.Znat]
Z_of_N_lt [in Coq.ZArith.Znat]
Z_of_N_le [in Coq.ZArith.Znat]
Z_of_N_gt_iff [in Coq.ZArith.Znat]
Z_of_N_ge_iff [in Coq.ZArith.Znat]
Z_of_N_lt_iff [in Coq.ZArith.Znat]
Z_of_N_le_iff [in Coq.ZArith.Znat]
Z_of_N_compare [in Coq.ZArith.Znat]
Z_of_N_eq_iff [in Coq.ZArith.Znat]
Z_of_N_eq_rev [in Coq.ZArith.Znat]
Z_of_N_eq [in Coq.ZArith.Znat]
Z_of_N_of_nat [in Coq.ZArith.Znat]
Z_of_nat_of_N [in Coq.ZArith.Znat]
Z_of_nat_of_P [in Coq.ZArith.Znat]
Z.neg [in Coq.ZArith.BinIntDef]
Z.pos [in Coq.ZArith.BinIntDef]
Z0 [in Coq.ZArith.BinInt]
Z2P [in Coq.QArith.Qreduction]
Z2P_correct [in Coq.QArith.Qreduction]

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 | _ | other | (68863 entries)
Notation 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 | _ | other | (985 entries)
Binder 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 | _ | other | (44709 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 | _ | other | (761 entries)
Variable 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 | _ | other | (1497 entries)
Library 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 | _ | other | (570 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 | _ | other | (11380 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 | _ | other | (976 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 | _ | other | (603 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 | _ | other | (298 entries)
Projection 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 | _ | other | (460 entries)
Section 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 | _ | other | (476 entries)
Instance 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 | _ | other | (811 entries)
Abbreviation 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 | _ | other | (1157 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 | _ | other | (4018 entries)
Record 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 | _ | other | (162 entries)