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 | (72745 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 | (1016 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 | (47313 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 | (784 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 | (1547 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 | (583 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 | (11764 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 | (959 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 | (627 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 | (308 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 | (475 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 | (492 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 | (903 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 | (1448 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 | (4360 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 | (166 entries)

## N (abbreviation)

nat_of_P [in Coq.PArith.BinPos]
nat_of_P_o_P_of_succ_nat_eq_succ [in Coq.PArith.Pnat]
nat_of_P_compare_morphism [in Coq.PArith.Pnat]
nat_of_P_mult_morphism [in Coq.PArith.Pnat]
nat_of_P_plus_morphism [in Coq.PArith.Pnat]
nat_of_P_succ_morphism [in Coq.PArith.Pnat]
nat_of_P_of_succ_nat [in Coq.PArith.Pnat]
nat_of_P_inj [in Coq.PArith.Pnat]
nat_of_P_inj_iff [in Coq.PArith.Pnat]
nat_of_P_pos [in Coq.PArith.Pnat]
nat_of_P_is_S [in Coq.PArith.Pnat]
nat_of_P_xI [in Coq.PArith.Pnat]
nat_of_P_xO [in Coq.PArith.Pnat]
nat_of_P_xH [in Coq.PArith.Pnat]
nat_compare_S [in Coq.Arith.Compare_dec]
nat_of_N [in Coq.NArith.BinNat]
nat_of_N_of_nat [in Coq.NArith.Nnat]
nat_of_Nmin [in Coq.NArith.Nnat]
nat_of_Nmax [in Coq.NArith.Nnat]
nat_of_Npow [in Coq.NArith.Nnat]
nat_of_Nmod [in Coq.NArith.Nnat]
nat_of_Ndiv [in Coq.NArith.Nnat]
nat_of_Ncompare [in Coq.NArith.Nnat]
nat_of_Ndiv2 [in Coq.NArith.Nnat]
nat_of_Npred [in Coq.NArith.Nnat]
nat_of_Nminus [in Coq.NArith.Nnat]
nat_of_Nmult [in Coq.NArith.Nnat]
nat_of_Nplus [in Coq.NArith.Nnat]
nat_of_Nsucc [in Coq.NArith.Nnat]
nat_of_Ndouble_plus_one [in Coq.NArith.Nnat]
nat_of_Ndouble [in Coq.NArith.Nnat]
nat_of_N_inj [in Coq.NArith.Nnat]
nat_total_order [in Coq.Arith.Lt]
Nbit [in Coq.NArith.Ndigits]
NBitsProp.lnextcarry [in Coq.Numbers.Natural.Abstract.NBits]
NBitsProp.lxor3 [in Coq.Numbers.Natural.Abstract.NBits]
NBitsProp.nextcarry [in Coq.Numbers.Natural.Abstract.NBits]
NBitsProp.xor3 [in Coq.Numbers.Natural.Abstract.NBits]
Nbit0 [in Coq.NArith.Ndigits]
Ncompare_0 [in Coq.NArith.BinNat]
Ncompare_eq_correct [in Coq.NArith.BinNat]
Ncompare_Eq_eq [in Coq.NArith.BinNat]
Ndivide [in Coq.NArith.Ngcd_def]
Ndiv_Zquot [in Coq.ZArith.Zquot]
Ndiv_mod_eq [in Coq.NArith.Ndiv_def]
Ndiv_eucl_correct [in Coq.NArith.Ndiv_def]
Ndouble_plus_one_inj [in Coq.NArith.BinNat]
Ndouble_plus_one_div2 [in Coq.NArith.BinNat]
Ndouble_div2 [in Coq.NArith.BinNat]
Ndouble_plus_one [in Coq.NArith.BinNat]
negb_intro [in Coq.Bool.Bool]
negb_elim [in Coq.Bool.Bool]
Neqb_comm [in Coq.NArith.Ndec]
Neqb_correct [in Coq.NArith.Ndec]
neq_O_lt [in Coq.Arith.Lt]
neq_0_lt [in Coq.Arith.Lt]
Ngcd [in Coq.NArith.Ngcd_def]
Ngcd_greatest [in Coq.NArith.Ngcd_def]
Ngcd_divide_r [in Coq.NArith.Ngcd_def]
Ngcd_divide_l [in Coq.NArith.Ngcd_def]
Nggcd [in Coq.NArith.Ngcd_def]
Nggcd_correct_divisors [in Coq.NArith.Ngcd_def]
Nggcd_gcd [in Coq.NArith.Ngcd_def]
Ngt_Nlt [in Coq.NArith.BinNat]
nil [in Coq.Lists.List]
nil [in Coq.Reals.RList]
nil_sort [in Coq.Sorting.Sorted]
nil_leA [in Coq.Sorting.Sorted]
Nind [in Coq.NArith.BinNat]
Ninterp_PElist [in Coq.setoid_ring.Field_theory]
Nle_lteq [in Coq.NArith.BinNat]
Nle_0 [in Coq.NArith.BinNat]
Nlt_not_eq [in Coq.NArith.BinNat]
Nminus [in Coq.NArith.BinNat]
Nminus_succ_r [in Coq.NArith.BinNat]
Nminus_0_r [in Coq.NArith.BinNat]
Nminus_N0_Nle [in Coq.NArith.BinNat]
Nmin_choice [in Coq.NArith.Ndec]
Nmk_monpol_list [in Coq.setoid_ring.Field_theory]
Nmod [in Coq.NArith.Ndiv_def]
Nmod_Zrem [in Coq.ZArith.Zquot]
NMulOrderProp.mul_pos [in Coq.Numbers.Natural.Abstract.NMulOrder]
Nmult [in Coq.NArith.BinNat]
Nmult_plus_distr_r [in Coq.NArith.BinNat]
Nmult_assoc [in Coq.NArith.BinNat]
Nmult_comm [in Coq.NArith.BinNat]
Nmult_1_r [in Coq.NArith.BinNat]
Nmult_1_l [in Coq.NArith.BinNat]
Nmult_0_l [in Coq.NArith.BinNat]
Nnorm [in Coq.setoid_ring.Field_theory]
NonPropType.Exports.nonPropType [in Coq.ssr.ssreflect]
NonPropType.Exports.notProp [in Coq.ssr.ssreflect]
nosimpl [in Coq.ssr.ssreflect]
not_le_minus_0 [in Coq.Arith.Minus]
not_eq_sym [in Coq.Arith.Compare]
not_identity_sym [in Coq.Init.Datatypes]
not_even_and_odd [in Coq.Arith.Even]
not_O_IZR [in Coq.Reals.RIneq]
not_O_INR [in Coq.Reals.RIneq]
not_INR_O [in Coq.Reals.RIneq]
not_nm_INR [in Coq.Reals.RIneq]
NPEeval [in Coq.setoid_ring.Field_theory]
Nplus [in Coq.NArith.BinNat]
Nplus_succ [in Coq.NArith.BinNat]
Nplus_assoc [in Coq.NArith.BinNat]
Nplus_comm [in Coq.NArith.BinNat]
Nplus_0_r [in Coq.NArith.BinNat]
Nplus_0_l [in Coq.NArith.BinNat]
Npos [in Coq.NArith.BinNat]
NPphi_pow [in Coq.setoid_ring.Field_theory]
NPphi_dev [in Coq.setoid_ring.Field_theory]
Npred_minus [in Coq.NArith.BinNat]
NProp [in Coq.Logic.ClassicalFacts]
Nrec [in Coq.NArith.BinNat]
Nrect [in Coq.NArith.BinNat]
Nrect_step [in Coq.NArith.BinNat]
Nrect_base [in Coq.NArith.BinNat]
Nrec_succ [in Coq.NArith.BinNat]
Nrec_base [in Coq.NArith.BinNat]
Nsize [in Coq.NArith.Ndigits]
Nsqrt_spec [in Coq.NArith.Nsqrt_def]
Nsucc_0 [in Coq.NArith.BinNat]
null [in Coq.micromega.Tauto]
Nxor [in Coq.NArith.Ndigits]
Nxor_nilpotent [in Coq.NArith.Ndigits]
Nxor_neutral_right [in Coq.NArith.Ndigits]
Nxor_neutral_left [in Coq.NArith.Ndigits]
Nxor_assoc [in Coq.NArith.Ndigits]
Nxor_comm [in Coq.NArith.Ndigits]
Nxor_eq [in Coq.NArith.Ndigits]
NZCyclicAxiomsMod.P [in Coq.Numbers.Cyclic.Abstract.NZCyclic]
NZCyclicAxiomsMod.S [in Coq.Numbers.Cyclic.Abstract.NZCyclic]
NZCyclicAxiomsMod.wB [in Coq.Numbers.Cyclic.Abstract.NZCyclic]
NZOrderProp.lt_ngt [in Coq.Numbers.NatInt.NZOrder]
NZOrderProp.lt_eq_gt_cases [in Coq.Numbers.NatInt.NZOrder]
n_SSSSn [in Coq.Arith.Plus]
n_SSSn [in Coq.Arith.Plus]
n_SSn [in Coq.Arith.Plus]
N_of_nat [in Coq.NArith.BinNat]
N_ind [in Coq.NArith.BinNat]
N_rec [in Coq.NArith.BinNat]
N_rect [in Coq.NArith.BinNat]
N_of_max [in Coq.NArith.Nnat]
N_of_min [in Coq.NArith.Nnat]
N_of_nat_pow [in Coq.NArith.Nnat]
N_of_nat_mod [in Coq.NArith.Nnat]
N_of_nat_div [in Coq.NArith.Nnat]
N_of_nat_compare [in Coq.NArith.Nnat]
N_of_div2 [in Coq.NArith.Nnat]
N_of_mult [in Coq.NArith.Nnat]
N_of_minus [in Coq.NArith.Nnat]
N_of_plus [in Coq.NArith.Nnat]
N_of_pred [in Coq.NArith.Nnat]
N_of_S [in Coq.NArith.Nnat]
N_of_double_plus_one [in Coq.NArith.Nnat]
N_of_double [in Coq.NArith.Nnat]
N_of_nat_inj [in Coq.NArith.Nnat]
N_of_nat_of_N [in Coq.NArith.Nnat]
N_of_Z [in Coq.setoid_ring.ZArithRing]
n_of_Z [in Coq.micromega.ZMicromega]
N.pos [in Coq.NArith.BinNatDef]
N0 [in Coq.NArith.BinNat]
N2Bv_gen [in Coq.NArith.Ndigits]

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 | (72745 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 | (1016 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 | (47313 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 | (784 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 | (1547 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 | (583 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 | (11764 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 | (959 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 | (627 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 | (308 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 | (475 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 | (492 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 | (903 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 | (1448 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 | (4360 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 | (166 entries)