Theorems · Definition · group theory
AddHom.restrict
Deprecated since 2026-07-19Use AddHom.domRestrict instead.
{M : Type u_1} →
{σ : Type u_4} →
[inst : Add M] →
{N : Type u_5} →
[inst_1 : Add N] → [inst_2 : SetLike σ M] → [inst_3 : AddMemClass σ M] → (M →ₙ+ N) → (S : σ) → ↥S →ₙ+ NAlias of AddHom.domRestrict.
Restriction of an AddSemigroup hom to an AddSubsemigroup of the domain.
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses propext
- Assumes
- AddAddSetLikeAddMemClass
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Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- SetLikestatement · cited by 1,084
- AddHomstatement · cited by 294
- AddMemClassstatement · cited by 17
- AddHom.domRestrictproof · cited by 2
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