InjSurj
π Source: Mathlib/Algebra/Ring/InjSurj.lean
Statistics
AddOpposite
Definitions
| Name | Category | Theorems |
|---|---|---|
instHasDistribNeg π | CompOp | β |
Function.Injective
Definitions
| Name | Category | Theorems |
|---|---|---|
addCommGroupWithOne π | CompOp | β |
addCommMonoidWithOne π | CompOp | β |
addGroupWithOne π | CompOp | β |
addMonoidWithOne π | CompOp | β |
commRing π | CompOp | β |
commSemiring π | CompOp | β |
distrib π | CompOp | β |
hasDistribNeg π | CompOp | β |
nonAssocRing π | CompOp | β |
nonAssocSemiring π | CompOp | β |
nonUnitalCommRing π | CompOp | β |
nonUnitalCommSemiring π | CompOp | β |
nonUnitalNonAssocCommRing π | CompOp | β |
nonUnitalNonAssocCommSemiring π | CompOp | β |
nonUnitalNonAssocRing π | CompOp | β |
nonUnitalNonAssocSemiring π | CompOp | β |
nonUnitalRing π | CompOp | β |
nonUnitalSemiring π | CompOp | β |
semiring π | CompOp | β |
Theorems
| Name | Kind | Assumes | Proves | Validates | Depends On |
|---|---|---|---|---|---|
leftDistribClass π | mathematical | β | LeftDistribClass | β | left_distrib |
rightDistribClass π | mathematical | β | RightDistribClass | β | right_distrib |
Function.Surjective
Definitions
| Name | Category | Theorems |
|---|---|---|
addCommGroupWithOne π | CompOp | β |
addCommMonoidWithOne π | CompOp | β |
addGroupWithOne π | CompOp | β |
addMonoidWithOne π | CompOp | β |
commRing π | CompOp | β |
commSemiring π | CompOp | β |
distrib π | CompOp | β |
hasDistribNeg π | CompOp | β |
nonAssocRing π | CompOp | β |
nonAssocSemiring π | CompOp | β |
nonUnitalCommRing π | CompOp | β |
nonUnitalCommSemiring π | CompOp | β |
nonUnitalNonAssocCommRing π | CompOp | β |
nonUnitalNonAssocCommSemiring π | CompOp | β |
nonUnitalNonAssocRing π | CompOp | β |
nonUnitalNonAssocSemiring π | CompOp | β |
nonUnitalRing π | CompOp | β |
nonUnitalSemiring π | CompOp | β |
semiring π | CompOp | β |
Theorems
| Name | Kind | Assumes | Proves | Validates | Depends On |
|---|---|---|---|---|---|
leftDistribClass π | mathematical | β | LeftDistribClass | β | forallβleft_distrib |
rightDistribClass π | mathematical | β | RightDistribClass | β | forallβright_distrib |
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