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 | (26611 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 | (1022 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 | (806 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 | (1548 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 | (595 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 | (12054 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 | (629 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 | (505 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 | (912 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 | (1508 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 | (5124 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 (instance)

nat_eq_eqdec [in Coq.Classes.EquivDec]
nat_rect_wd [in Coq.Numbers.NatInt.NZDomain]
nat_eq_eqdec [in Coq.Classes.SetoidDec]
Nat.add_wd [in Coq.Arith.PeanoNat]
Nat.Decidable_le_nat [in Coq.Arith.PeanoNat]
Nat.Decidable_eq_nat [in Coq.Arith.PeanoNat]
Nat.div_wd [in Coq.Arith.PeanoNat]
Nat.lt_wd [in Coq.Arith.PeanoNat]
Nat.mod_wd [in Coq.Arith.PeanoNat]
Nat.mul_wd [in Coq.Arith.PeanoNat]
Nat.pow_wd [in Coq.Arith.PeanoNat]
Nat.pred_wd [in Coq.Arith.PeanoNat]
Nat.recursion_wd [in Coq.Arith.PeanoNat]
Nat.sub_wd [in Coq.Arith.PeanoNat]
Nat.succ_wd [in Coq.Arith.PeanoNat]
Nat.testbit_wd [in Coq.Arith.PeanoNat]
NAxiomsRec.recursion_wd [in Coq.Numbers.Natural.Abstract.NAxioms]
NBitsProp.b2n_proper [in Coq.Numbers.Natural.Abstract.NBits]
NBitsProp.clearbit_wd [in Coq.Numbers.Natural.Abstract.NBits]
NBitsProp.div2_wd [in Coq.Numbers.Natural.Abstract.NBits]
NBitsProp.eqf_equiv [in Coq.Numbers.Natural.Abstract.NBits]
NBitsProp.land_wd [in Coq.Numbers.Natural.Abstract.NBits]
NBitsProp.ldiff_wd [in Coq.Numbers.Natural.Abstract.NBits]
NBitsProp.lnot_wd [in Coq.Numbers.Natural.Abstract.NBits]
NBitsProp.lor_wd [in Coq.Numbers.Natural.Abstract.NBits]
NBitsProp.lxor_wd [in Coq.Numbers.Natural.Abstract.NBits]
NBitsProp.ones_wd [in Coq.Numbers.Natural.Abstract.NBits]
NBitsProp.setbit_wd [in Coq.Numbers.Natural.Abstract.NBits]
NBitsProp.shiftl_wd [in Coq.Numbers.Natural.Abstract.NBits]
NBitsProp.shiftr_wd [in Coq.Numbers.Natural.Abstract.NBits]
NBitsProp.testbit_eqf [in Coq.Numbers.Natural.Abstract.NBits]
NdefOpsProp.def_mul_wd [in Coq.Numbers.Natural.Abstract.NDefOps]
NdefOpsProp.def_add_wd [in Coq.Numbers.Natural.Abstract.NDefOps]
NdefOpsProp.even_wd [in Coq.Numbers.Natural.Abstract.NDefOps]
NdefOpsProp.half_wd [in Coq.Numbers.Natural.Abstract.NDefOps]
NdefOpsProp.half_aux_wd [in Coq.Numbers.Natural.Abstract.NDefOps]
NdefOpsProp.if_zero_wd [in Coq.Numbers.Natural.Abstract.NDefOps]
NdefOpsProp.log_wd [in Coq.Numbers.Natural.Abstract.NDefOps]
NdefOpsProp.log_prewd [in Coq.Numbers.Natural.Abstract.NDefOps]
NdefOpsProp.ltb_wd [in Coq.Numbers.Natural.Abstract.NDefOps]
NdefOpsProp.pow_wd [in Coq.Numbers.Natural.Abstract.NDefOps]
neq_Symmetric [in Coq.Classes.RelationClasses]
NGcdProp.Bezout_wd [in Coq.Numbers.Natural.Abstract.NGcd]
NGcdProp.divide_transitive [in Coq.Numbers.Natural.Abstract.NGcd]
NGcdProp.divide_reflexive [in Coq.Numbers.Natural.Abstract.NGcd]
NGcdProp.divide_wd [in Coq.Numbers.Natural.Abstract.NGcd]
NGcdProp.gcd_wd [in Coq.Numbers.Natural.Abstract.NGcd]
NLcmProp.lcm_wd [in Coq.Numbers.Natural.Abstract.NLcm]
NLcmProp0.lcm_wd [in Coq.Numbers.Natural.Abstract.NLcm0]
not_iff_morphism [in Coq.Classes.Morphisms_Prop]
not_impl_morphism [in Coq.Classes.Morphisms_Prop]
NPEequiv_eq [in Coq.setoid_ring.Field_theory]
NPEeval_ext [in Coq.setoid_ring.Field_theory]
NStrongRecProp.strong_rec_wd [in Coq.Numbers.Natural.Abstract.NStrongRec]
NStrongRecProp.strong_rec0_wd [in Coq.Numbers.Natural.Abstract.NStrongRec]
NSubProp.le_alt_wd [in Coq.Numbers.Natural.Abstract.NSub]
NSubProp.lt_alt_wd [in Coq.Numbers.Natural.Abstract.NSub]
NZBitsSpec.testbit_wd [in Coq.Numbers.NatInt.NZBits]
NZCyclicAxiomsMod.add_wd [in Coq.Numbers.Cyclic.Abstract.NZCyclic]
NZCyclicAxiomsMod.eq_equiv [in Coq.Numbers.Cyclic.Abstract.NZCyclic]
NZCyclicAxiomsMod.mul_wd [in Coq.Numbers.Cyclic.Abstract.NZCyclic]
NZCyclicAxiomsMod.pred_wd [in Coq.Numbers.Cyclic.Abstract.NZCyclic]
NZCyclicAxiomsMod.sub_wd [in Coq.Numbers.Cyclic.Abstract.NZCyclic]
NZCyclicAxiomsMod.succ_wd [in Coq.Numbers.Cyclic.Abstract.NZCyclic]
NZDivSpec.div_wd [in Coq.Numbers.NatInt.NZDiv]
NZDivSpec.mod_wd [in Coq.Numbers.NatInt.NZDiv]
NZGcdProp.divide_transitive [in Coq.Numbers.NatInt.NZGcd]
NZGcdProp.divide_reflexive [in Coq.Numbers.NatInt.NZGcd]
NZGcdProp.divide_wd [in Coq.Numbers.NatInt.NZGcd]
NZGcdProp.gcd_wd [in Coq.Numbers.NatInt.NZGcd]
NZLog2Prop.log2_wd [in Coq.Numbers.NatInt.NZLog]
NZLog2UpProp.log2_up_wd [in Coq.Numbers.NatInt.NZLog]
NZOrderProp.le_partialorder [in Coq.Numbers.NatInt.NZOrder]
NZOrderProp.le_preorder [in Coq.Numbers.NatInt.NZOrder]
NZOrderProp.le_wd [in Coq.Numbers.NatInt.NZOrder]
NZOrderProp.lt_strorder [in Coq.Numbers.NatInt.NZOrder]
NZOrderProp.Rgt_wd [in Coq.Numbers.NatInt.NZOrder]
NZOrderProp.Rlt_wd [in Coq.Numbers.NatInt.NZOrder]
NZParityProp.even_wd [in Coq.Numbers.NatInt.NZParity]
NZParityProp.Even_wd [in Coq.Numbers.NatInt.NZParity]
NZParityProp.odd_wd [in Coq.Numbers.NatInt.NZParity]
NZParityProp.Odd_wd [in Coq.Numbers.NatInt.NZParity]
NZPowSpec.pow_wd [in Coq.Numbers.NatInt.NZPow]
NZSqrtProp.sqrt_wd [in Coq.Numbers.NatInt.NZSqrt]
NZSqrtUpProp.sqrt_up_wd [in Coq.Numbers.NatInt.NZSqrt]
N.recursion_wd [in Coq.NArith.BinNat]

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 | (26611 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 | (1022 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 | (806 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 | (1548 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 | (595 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 | (12054 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 | (629 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 | (505 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 | (912 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 | (1508 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 | (5124 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)