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 | (25786 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 | (996 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 | (807 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 | (1538 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 | (584 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 | (11835 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 | (956 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 | (306 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 | (493 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 | (1194 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 | (4910 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)

## N (module)

N [in Coq.Numbers.Natural.Binary.NBinary]
N [in Coq.NArith.BinNat]
N [in Coq.NArith.BinNatDef]
NAddOrderProp [in Coq.Numbers.Natural.Abstract.NAddOrder]
NAddProp [in Coq.Numbers.Natural.Abstract.NAdd]
Nat [in Coq.Arith.PeanoNat]
NatOrder [in Coq.Sorting.Mergesort]
NatSort [in Coq.Sorting.Mergesort]
Nat_as_DT [in Coq.Structures.DecidableTypeEx]
Nat_as_DT [in Coq.Structures.OrdersEx]
Nat_as_OT [in Coq.Structures.OrdersEx]
Nat_as_OT [in Coq.Structures.OrderedTypeEx]
Nat.Private_Parity [in Coq.Arith.PeanoNat]
Nat2N [in Coq.NArith.Nnat]
Nat2Pos [in Coq.PArith.Pnat]
Nat2Z [in Coq.ZArith.Znat]
NAxiom [in Coq.Numbers.Natural.Abstract.NAxioms]
NAxiomsFullSig [in Coq.Numbers.Natural.Abstract.NAxioms]
NAxiomsFullSig' [in Coq.Numbers.Natural.Abstract.NAxioms]
NAxiomsMiniSig [in Coq.Numbers.Natural.Abstract.NAxioms]
NAxiomsMiniSig' [in Coq.Numbers.Natural.Abstract.NAxioms]
NAxiomsRec [in Coq.Numbers.Natural.Abstract.NAxioms]
NAxiomsRecSig [in Coq.Numbers.Natural.Abstract.NAxioms]
NAxiomsRecSig' [in Coq.Numbers.Natural.Abstract.NAxioms]
NAxiomsSig [in Coq.Numbers.Natural.Abstract.NAxioms]
NAxiomsSig' [in Coq.Numbers.Natural.Abstract.NAxioms]
NBaseProp [in Coq.Numbers.Natural.Abstract.NBase]
NBasicProp [in Coq.Numbers.Natural.Abstract.NProperties]
NBitsProp [in Coq.Numbers.Natural.Abstract.NBits]
NdefOpsProp [in Coq.Numbers.Natural.Abstract.NDefOps]
NDivProp [in Coq.Numbers.Natural.Abstract.NDiv]
NDivPropPrivate [in Coq.Numbers.Natural.Abstract.NDiv0]
NDivPropPrivate.Private_NDivProp [in Coq.Numbers.Natural.Abstract.NDiv0]
NDivProp.Private_NZDiv [in Coq.Numbers.Natural.Abstract.NDiv]
NDivProp0 [in Coq.Numbers.Natural.Abstract.NDiv0]
NDivProp0.Div0 [in Coq.Numbers.Natural.Abstract.NDiv0]
NDivSpecific [in Coq.Numbers.Natural.Abstract.NAxioms]
NExtraPreProp [in Coq.Numbers.Natural.Abstract.NProperties]
NExtraProp [in Coq.Numbers.Natural.Abstract.NProperties]
NExtraProp0 [in Coq.Numbers.Natural.Abstract.NProperties]
NExtraProp0.Private_NLcmProp [in Coq.Numbers.Natural.Abstract.NProperties]
NExtraProp0.Private_NDivProp [in Coq.Numbers.Natural.Abstract.NProperties]
NGcdProp [in Coq.Numbers.Natural.Abstract.NGcd]
NGcdProp.Private_NZGcdProp [in Coq.Numbers.Natural.Abstract.NGcd]
NilEmpty [in Coq.Numbers.DecimalString]
NilEmpty [in Coq.Numbers.HexadecimalString]
NilZero [in Coq.Numbers.DecimalString]
NilZero [in Coq.Numbers.HexadecimalString]
NLcmProp [in Coq.Numbers.Natural.Abstract.NLcm]
NLcmPropPrivate [in Coq.Numbers.Natural.Abstract.NLcm0]
NLcmPropPrivate.Private_NLcmProp [in Coq.Numbers.Natural.Abstract.NLcm0]
NLcmProp0 [in Coq.Numbers.Natural.Abstract.NLcm0]
NLcmProp0.Lcm0 [in Coq.Numbers.Natural.Abstract.NLcm0]
NLog2Prop [in Coq.Numbers.Natural.Abstract.NLog]
NMaxMinProp [in Coq.Numbers.Natural.Abstract.NMaxMin]
NMulOrderProp [in Coq.Numbers.Natural.Abstract.NMulOrder]
NodepOfDep [in Coq.FSets.FSetBridge]
NodepOfDep.E [in Coq.FSets.FSetBridge]
NodepOfDep.ME [in Coq.FSets.FSetBridge]
NonPropType [in Coq.ssr.ssreflect]
NonPropType.Exports [in Coq.ssr.ssreflect]
Nop [in Coq.Structures.Equalities]
NOrderProp [in Coq.Numbers.Natural.Abstract.NOrder]
NoRetractFromSmallPropositionToProp [in Coq.Logic.Hurkens]
NoRetractFromTypeToProp [in Coq.Logic.Hurkens]
NoRetractToImpredicativeUniverse [in Coq.Logic.Hurkens]
NoRetractToModalProposition [in Coq.Logic.Hurkens]
NoRetractToNegativeProp [in Coq.Logic.Hurkens]
Notations [in Ltac2.Lazy]
Notations [in Ltac2.RedFlags]
NParityProp [in Coq.Numbers.Natural.Abstract.NParity]
NPowProp [in Coq.Numbers.Natural.Abstract.NPow]
NPowProp.Private_NZPow [in Coq.Numbers.Natural.Abstract.NPow]
NSqrtProp [in Coq.Numbers.Natural.Abstract.NSqrt]
NSqrtProp.Private_NZSqrt [in Coq.Numbers.Natural.Abstract.NSqrt]
NStrongRecProp [in Coq.Numbers.Natural.Abstract.NStrongRec]
NSubProp [in Coq.Numbers.Natural.Abstract.NSub]
NZAddOrderProp [in Coq.Numbers.NatInt.NZAddOrder]
NZAddProp [in Coq.Numbers.NatInt.NZAdd]
NZAxiomsSig [in Coq.Numbers.NatInt.NZAxioms]
NZAxiomsSig' [in Coq.Numbers.NatInt.NZAxioms]
NZBaseProp [in Coq.Numbers.NatInt.NZBase]
NZBasicFunsSig [in Coq.Numbers.NatInt.NZAxioms]
NZBasicFunsSig' [in Coq.Numbers.NatInt.NZAxioms]
NZBits [in Coq.Numbers.NatInt.NZBits]
NZBitsSpec [in Coq.Numbers.NatInt.NZBits]
NZBits' [in Coq.Numbers.NatInt.NZBits]
NZCyclicAxiomsMod [in Coq.Numbers.Cyclic.Abstract.NZCyclic]
NZDecOrdAxiomsSig [in Coq.Numbers.NatInt.NZAxioms]
NZDecOrdAxiomsSig' [in Coq.Numbers.NatInt.NZAxioms]
NZDecOrdSig [in Coq.Numbers.NatInt.NZAxioms]
NZDecOrdSig' [in Coq.Numbers.NatInt.NZAxioms]
NZDiv [in Coq.Numbers.NatInt.NZDiv]
NZDivProp [in Coq.Numbers.NatInt.NZDiv]
NZDivSpec [in Coq.Numbers.NatInt.NZDiv]
NZDivSpec0 [in Coq.Numbers.NatInt.NZDiv]
NZDiv' [in Coq.Numbers.NatInt.NZDiv]
NZDomainProp [in Coq.Numbers.NatInt.NZDomain]
NZDomainSig [in Coq.Numbers.NatInt.NZAxioms]
NZDomainSig' [in Coq.Numbers.NatInt.NZAxioms]
NZGcd [in Coq.Numbers.NatInt.NZGcd]
NZGcdProp [in Coq.Numbers.NatInt.NZGcd]
NZGcdSpec [in Coq.Numbers.NatInt.NZGcd]
NZGcd' [in Coq.Numbers.NatInt.NZGcd]
NZLog2 [in Coq.Numbers.NatInt.NZLog]
NZLog2Prop [in Coq.Numbers.NatInt.NZLog]
NZLog2Spec [in Coq.Numbers.NatInt.NZLog]
NZLog2UpProp [in Coq.Numbers.NatInt.NZLog]
NZMulOrderProp [in Coq.Numbers.NatInt.NZMulOrder]
NZMulProp [in Coq.Numbers.NatInt.NZMul]
NZOfNat [in Coq.Numbers.NatInt.NZDomain]
NZOfNatOps [in Coq.Numbers.NatInt.NZDomain]
NZOfNatOrd [in Coq.Numbers.NatInt.NZDomain]
NZOrd [in Coq.Numbers.NatInt.NZAxioms]
NZOrdAxiomsSig [in Coq.Numbers.NatInt.NZAxioms]
NZOrdAxiomsSig' [in Coq.Numbers.NatInt.NZAxioms]
NZOrderProp [in Coq.Numbers.NatInt.NZOrder]
NZOrderProp.Private_OrderTac.Tac [in Coq.Numbers.NatInt.NZOrder]
NZOrderProp.Private_OrderTac.IsTotal [in Coq.Numbers.NatInt.NZOrder]
NZOrderProp.Private_OrderTac [in Coq.Numbers.NatInt.NZOrder]
NZOrdSig [in Coq.Numbers.NatInt.NZAxioms]
NZOrdSig' [in Coq.Numbers.NatInt.NZAxioms]
NZOrd' [in Coq.Numbers.NatInt.NZAxioms]
NZParity [in Coq.Numbers.NatInt.NZParity]
NZParityProp [in Coq.Numbers.NatInt.NZParity]
NZPow [in Coq.Numbers.NatInt.NZPow]
NZPowProp [in Coq.Numbers.NatInt.NZPow]
NZPowSpec [in Coq.Numbers.NatInt.NZPow]
NZPow' [in Coq.Numbers.NatInt.NZPow]
NZProp [in Coq.Numbers.NatInt.NZProperties]
NZSqrt [in Coq.Numbers.NatInt.NZSqrt]
NZSqrtProp [in Coq.Numbers.NatInt.NZSqrt]
NZSqrtSpec [in Coq.Numbers.NatInt.NZSqrt]
NZSqrtUpProp [in Coq.Numbers.NatInt.NZSqrt]
NZSqrt' [in Coq.Numbers.NatInt.NZSqrt]
NZSquare [in Coq.Numbers.NatInt.NZAxioms]
N_as_DT [in Coq.Structures.DecidableTypeEx]
N_as_DT [in Coq.Structures.OrdersEx]
N_as_OT [in Coq.Structures.OrdersEx]
N_as_OT [in Coq.Structures.OrderedTypeEx]
N2Nat [in Coq.NArith.Nnat]
N2Z [in Coq.ZArith.Znat]

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 | (25786 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 | (996 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 | (807 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 | (1538 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 | (584 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 | (11835 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 | (956 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 | (306 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 | (493 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 | (1194 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 | (4910 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)