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)

## Z (notation)

_ === _ [in Coq.Numbers.Integer.Abstract.ZBits]
0 [in Coq.Numbers.NatInt.NZAxioms]
_ mod _ (euclid) [in Coq.Numbers.Integer.Abstract.ZDivEucl]
_ / _ (euclid) [in Coq.Numbers.Integer.Abstract.ZDivEucl]
[+| _ |] [in Coq.Numbers.Cyclic.ZModulo.ZModulo]
[-| _ |] [in Coq.Numbers.Cyclic.ZModulo.ZModulo]
[| _ |] [in Coq.Numbers.Cyclic.ZModulo.ZModulo]
[|| _ ||] [in Coq.Numbers.Cyclic.ZModulo.ZModulo]
[ _ ] (ZMORPHISM) [in Coq.setoid_ring.Ncring_initial]
_ == _ [in Coq.setoid_ring.InitialRing]
_ - _ [in Coq.setoid_ring.InitialRing]
_ * _ [in Coq.setoid_ring.InitialRing]
_ + _ [in Coq.setoid_ring.InitialRing]
- _ [in Coq.setoid_ring.InitialRing]
0 [in Coq.setoid_ring.InitialRing]
1 [in Coq.setoid_ring.InitialRing]
[ _ ] [in Coq.setoid_ring.InitialRing]
[| _ |] [in Coq.Numbers.Cyclic.Abstract.CyclicAxioms]
[+| _ |] [in Coq.Numbers.Cyclic.Abstract.CyclicAxioms]
[-| _ |] [in Coq.Numbers.Cyclic.Abstract.CyclicAxioms]
[| _ |] [in Coq.Numbers.Cyclic.Abstract.CyclicAxioms]
[|| _ ||] [in Coq.Numbers.Cyclic.Abstract.CyclicAxioms]
_ <= _ (NScope) [in Coq.Numbers.Integer.NatPairs.ZNatPairs]
_ < _ (NScope) [in Coq.Numbers.Integer.NatPairs.ZNatPairs]
_ * _ (NScope) [in Coq.Numbers.Integer.NatPairs.ZNatPairs]
_ - _ (NScope) [in Coq.Numbers.Integer.NatPairs.ZNatPairs]
_ + _ (NScope) [in Coq.Numbers.Integer.NatPairs.ZNatPairs]
_ ~= _ (NScope) [in Coq.Numbers.Integer.NatPairs.ZNatPairs]
_ == _ (NScope) [in Coq.Numbers.Integer.NatPairs.ZNatPairs]
0 (NScope) [in Coq.Numbers.Integer.NatPairs.ZNatPairs]
1 (NScope) [in Coq.Numbers.Integer.NatPairs.ZNatPairs]
2 (NScope) [in Coq.Numbers.Integer.NatPairs.ZNatPairs]
_ <= _ (ZScope) [in Coq.Numbers.Integer.NatPairs.ZNatPairs]
_ < _ (ZScope) [in Coq.Numbers.Integer.NatPairs.ZNatPairs]
_ * _ (ZScope) [in Coq.Numbers.Integer.NatPairs.ZNatPairs]
_ - _ (ZScope) [in Coq.Numbers.Integer.NatPairs.ZNatPairs]
_ + _ (ZScope) [in Coq.Numbers.Integer.NatPairs.ZNatPairs]
_ ~= _ (ZScope) [in Coq.Numbers.Integer.NatPairs.ZNatPairs]
_ == _ (ZScope) [in Coq.Numbers.Integer.NatPairs.ZNatPairs]
- _ (ZScope) [in Coq.Numbers.Integer.NatPairs.ZNatPairs]
0 (ZScope) [in Coq.Numbers.Integer.NatPairs.ZNatPairs]
1 (ZScope) [in Coq.Numbers.Integer.NatPairs.ZNatPairs]
2 (ZScope) [in Coq.Numbers.Integer.NatPairs.ZNatPairs]
_ ÷ _ (Z_scope) [in Coq.ZArith.BinIntDef]
_ mod _ (Z_scope) [in Coq.ZArith.BinIntDef]
_ / _ (Z_scope) [in Coq.ZArith.BinIntDef]
_ >? _ (Z_scope) [in Coq.ZArith.BinIntDef]
_ >=? _ (Z_scope) [in Coq.ZArith.BinIntDef]
_ <? _ (Z_scope) [in Coq.ZArith.BinIntDef]
_ <=? _ (Z_scope) [in Coq.ZArith.BinIntDef]
_ =? _ (Z_scope) [in Coq.ZArith.BinIntDef]
_ ?= _ (Z_scope) [in Coq.ZArith.BinIntDef]
_ ^ _ (Z_scope) [in Coq.ZArith.BinIntDef]
_ * _ (Z_scope) [in Coq.ZArith.BinIntDef]
_ - _ (Z_scope) [in Coq.ZArith.BinIntDef]
- _ (Z_scope) [in Coq.ZArith.BinIntDef]
_ + _ (Z_scope) [in Coq.ZArith.BinIntDef]
_ < _ <= _ (Z_scope) [in Coq.ZArith.BinInt]
_ < _ < _ (Z_scope) [in Coq.ZArith.BinInt]
_ <= _ < _ (Z_scope) [in Coq.ZArith.BinInt]
_ <= _ <= _ (Z_scope) [in Coq.ZArith.BinInt]
_ > _ (Z_scope) [in Coq.ZArith.BinInt]
_ >= _ (Z_scope) [in Coq.ZArith.BinInt]
_ < _ (Z_scope) [in Coq.ZArith.BinInt]
_ <= _ (Z_scope) [in Coq.ZArith.BinInt]
_ ^^ _ [in Coq.ZArith.Zbitwise]
_ .[ _ ] [in Coq.ZArith.Zbitwise]
_ .^ _ [in Coq.ZArith.Zbitwise]
_ .& _ [in Coq.ZArith.Zbitwise]
_ .| _ [in Coq.ZArith.Zbitwise]
( _ | _ ) [in Coq.ZArith.BinInt]
.~ _ [in Coq.ZArith.Zbitwise]

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)