Theorems · Definition · ring theory
NonUnitalRingHom.toMulHom
{α : Type u_5} →
{β : Type u_6} → [inst : NonUnitalNonAssocSemiring α] → [inst_1 : NonUnitalNonAssocSemiring β] → (α →ₙ+* β) → α →ₙ* βReinterpret a non-unital ring homomorphism f : α →ₙ+* β as a semigroup
homomorphism α →ₙ* β. The simp-normal form is (f : α →ₙ* β).
- Defined in
- Mathlib.Algebra.Ring.Hom.Defs
- Cited by
- 15 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- NonUnitalNonAssocSemiringstatement and proof · cited by 1,081
- MulHomstatement · cited by 299
- NonUnitalRingHomstatement and proof · cited by 157
Cited by34
Results whose statement or proof uses this declaration.
- NonUnitalRingHom.compproof · cited by 38
- NonUnitalRingHom.piproof · cited by 4
- NonUnitalAlgHom.restrictScalarsproof · cited by 4
- NonUnitalRingHom.toAddMonoidHomproof · cited by 3
- NonUnitalAlgHom.codRestrictproof · cited by 3
- NonUnitalRingHom.copyproof · cited by 2
- CentroidHom.starCenterIsoCentroidproof · cited by 2
- NonUnitalRingHom.opproof · cited by 2
- AddMonoidAlgebra.mapDomainNonUnitalAlgHomproof · cited by 1
- NonUnitalRingHom.toOppositeproof · cited by 1
- NonUnitalStarRingHom.mk.injstatement and proof · cited by 1
- NonUnitalStarRingHom.mk.noConfusionstatement and proof · cited by 1