Theorems · Theorem · group theory
MonoidHom.restrict_apply
Deprecated since 2026-07-19Use MonoidHom.domRestrict_apply instead.
∀ {M : Type u_1} [inst : MulOneClass M] {N : Type u_5} {S : Type u_6} [inst_1 : MulOneClass N] [inst_2 : SetLike S M]
[inst_3 : SubmonoidClass S M] (f : M →* N) (s : S) (x : ↥s), (f.domRestrict s) x = f ↑xAlias of MonoidHom.domRestrict_apply.
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext, Quot.sound
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- MonoidHomstatement · cited by 3,629
- SetLikestatement · cited by 1,084
- MulOneClassstatement · cited by 1,018
- SubmonoidClassstatement · cited by 60
- MonoidHom.domRestrictstatement · cited by 59
- MonoidHom.domRestrict_applyproof · cited by 4
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