Mathlib Map

Theorems · Theorem · group theory

MonoidHom.restrictHom_apply

Deprecated since 2026-07-19Use MonoidHom.domRestrictHom_apply instead.

∀ {M : Type u_1} [inst : MulOneClass M] {S : Type u_5} [inst_1 : SetLike S M] [inst_2 : SubmonoidClass S M] (M' : S)
  (A : Type u_6) [inst_3 : CommMonoid A] (f : M →* A), (MonoidHom.domRestrictHom M' A) f = f.domRestrict M'

Alias of MonoidHom.domRestrictHom_apply.

Defined in
Mathlib.Algebra.Group.Submonoid.Operations
Cited by
0 results in Mathlib
Foundations
Depth 23 from the axioms · uses propext, Quot.sound
Assumes
MulOneClassSetLikeSubmonoidClassCommMonoid
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

DFunLike.coe · cited by 62936DFunLike.coeMonoidHom · cited by 3629MonoidHomCommMonoid · cited by 2264CommMonoidSetLike · cited by 1084SetLikeMulOneClass · cited by 1018MulOneClassSubmonoidClass · cited by 60SubmonoidClassMonoidHom.domRestrict · cited by 59MonoidHom.domRestrictMonoidHom.domRestrictHom · cited by 12MonoidHom.domRestrictHomMonoidHom.domRestrictHom_apply · cited by 4MonoidHom.domRestrictHom_…MonoidHom.restrictHom_applyCITED BYCITES

Cites9

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by0

Results whose statement or proof uses this declaration.

Nothing cites this yet.