Theorems · Theorem · group theory
MulHom.restrict_apply
Deprecated since 2026-07-19Use MulHom.domRestrict_apply instead.
∀ {M : Type u_1} {σ : Type u_4} [inst : Mul M] {N : Type u_5} [inst_1 : Mul N] [inst_2 : SetLike σ M]
[inst_3 : MulMemClass σ M] (f : M →ₙ* N) {S : σ} (x : ↥S), (f.domRestrict S) x = f ↑xAlias of MulHom.domRestrict_apply.
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- Foundations
- Depth 14 from the axioms · uses propext
- Assumes
- MulMulSetLikeMulMemClass
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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
- SetLikestatement · cited by 1,084
- MulHomstatement · cited by 299
- MulMemClassstatement · cited by 25
- MulHom.domRestrictstatement · cited by 2
- MulHom.domRestrict_applyproof · cited by 1
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