Theorems · Theorem · group theory
MonoidHom.domRestrictHom_apply
∀ {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'- Cited by
- 4 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- MonoidHomstatement and proof · cited by 3,629
- CommMonoidstatement and proof · cited by 2,264
- SetLikestatement and proof · cited by 1,084
- MulOneClassstatement and proof · cited by 1,018
- SubmonoidClassstatement and proof · cited by 60
- MonoidHom.domRestrictstatement · cited by 59
- MonoidHom.domRestrictHomstatement and proof · cited by 12
Cited by4
Results whose statement or proof uses this declaration.
- MulChar.domRestrictHom_surjectiveproof · cited by 1
- MonoidHom.restrictHom_applyproof · cited by 0
- CommGroup.mem_subgroupOrderIsoSubgroupMonoidHom_iffproof · cited by 0
- CommGroup.mem_subgroupOrderIsoSubgroupMonoidHom_symm_iffproof · cited by 0