Theorems · Theorem · group theory
AddMonoidHom.domRestrict_apply
∀ {M : Type u_1} [inst : AddZeroClass M] {N : Type u_5} {S : Type u_6} [inst_1 : AddZeroClass N] [inst_2 : SetLike S M]
[inst_3 : AddSubmonoidClass S M] (f : M →+ N) (s : S) (x : ↥s), (f.domRestrict s) x = f ↑x- Cited by
- 3 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- AddMonoidHomstatement and proof · cited by 3,230
- AddZeroClassstatement and proof · cited by 1,237
- SetLikestatement and proof · cited by 1,084
- AddSubmonoidClassstatement and proof · cited by 346
- AddMonoidHom.domRestrictstatement · cited by 35
Cited by3
Results whose statement or proof uses this declaration.
- AddSubmonoid.LocalizationMap.lift_add_rightproof · cited by 2
- AddMonoidHom.restrict_applyproof · cited by 0
- AddSubmonoid.LocalizationMap.lift_surjective_iffproof · cited by 0