InjSurj
📁 Source: Mathlib/Algebra/Group/InjSurj.lean
Statistics
Function.Injective
Definitions
| Name | Category | Theorems |
|---|---|---|
addCancelCommMonoid 📖 | CompOp | — |
addCancelMonoid 📖 | CompOp | — |
addCommGroup 📖 | CompOp | — |
addCommMagma 📖 | CompOp | — |
addCommMonoid 📖 | CompOp | — |
addCommSemigroup 📖 | CompOp | — |
addGroup 📖 | CompOp | — |
addLeftCancelMonoid 📖 | CompOp | — |
addLeftCancelSemigroup 📖 | CompOp | — |
addMonoid 📖 | CompOp | — |
addRightCancelMonoid 📖 | CompOp | — |
addRightCancelSemigroup 📖 | CompOp | — |
addSemigroup 📖 | CompOp | — |
addZeroClass 📖 | CompOp | — |
cancelCommMonoid 📖 | CompOp | — |
cancelMonoid 📖 | CompOp | — |
commGroup 📖 | CompOp | — |
commMagma 📖 | CompOp | — |
commMonoid 📖 | CompOp | — |
commSemigroup 📖 | CompOp | — |
divInvMonoid 📖 | CompOp | — |
divInvOneMonoid 📖 | CompOp | — |
divisionCommMonoid 📖 | CompOp | — |
divisionMonoid 📖 | CompOp | — |
group 📖 | CompOp | — |
invOneClass 📖 | CompOp | — |
involutiveInv 📖 | CompOp | — |
involutiveNeg 📖 | CompOp | — |
leftCancelMonoid 📖 | CompOp | — |
leftCancelSemigroup 📖 | CompOp | — |
monoid 📖 | CompOp | — |
mulOneClass 📖 | CompOp | — |
negZeroClass 📖 | CompOp | — |
rightCancelMonoid 📖 | CompOp | — |
rightCancelSemigroup 📖 | CompOp | — |
semigroup 📖 | CompOp | — |
subNegMonoid 📖 | CompOp | — |
subNegZeroMonoid 📖 | CompOp | — |
subtractionCommMonoid 📖 | CompOp | — |
subtractionMonoid 📖 | CompOp | — |
Theorems
| Name | Kind | Assumes | Proves | Validates | Depends On |
|---|---|---|---|---|---|
isCancelAdd 📖 | mathematical | — | IsCancelAdd | — | isLeftCancelAddIsCancelAdd.toIsLeftCancelAddisRightCancelAddIsCancelAdd.toIsRightCancelAdd |
isCancelMul 📖 | mathematical | — | IsCancelMul | — | isLeftCancelMulIsCancelMul.toIsLeftCancelMulisRightCancelMulIsCancelMul.toIsRightCancelMul |
isLeftCancelAdd 📖 | mathematical | — | IsLeftCancelAdd | — | add_left_cancel |
isLeftCancelMul 📖 | mathematical | — | IsLeftCancelMul | — | mul_left_cancel |
isRightCancelAdd 📖 | mathematical | — | IsRightCancelAdd | — | add_right_cancel |
isRightCancelMul 📖 | mathematical | — | IsRightCancelMul | — | mul_right_cancel |
Function.Surjective
Definitions
| Name | Category | Theorems |
|---|---|---|
addCommGroup 📖 | CompOp | — |
addCommMagma 📖 | CompOp | — |
addCommMonoid 📖 | CompOp | — |
addCommSemigroup 📖 | CompOp | — |
addGroup 📖 | CompOp | — |
addMonoid 📖 | CompOp | — |
addSemigroup 📖 | CompOp | — |
addZeroClass 📖 | CompOp | — |
commGroup 📖 | CompOp | — |
commMagma 📖 | CompOp | — |
commMonoid 📖 | CompOp | — |
commSemigroup 📖 | CompOp | — |
divInvMonoid 📖 | CompOp | — |
group 📖 | CompOp | — |
involutiveInv 📖 | CompOp | — |
involutiveNeg 📖 | CompOp | — |
monoid 📖 | CompOp | — |
mulOneClass 📖 | CompOp | — |
semigroup 📖 | CompOp | — |
subNegMonoid 📖 | CompOp | — |
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