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Theorems · Definition · group theory

Pi.evalMulHom

{I : Type u} → (f : I → Type v) → [inst : (i : I) → Mul (f i)] → (i : I) → ((i : I) → f i) →ₙ* f i

Evaluation of functions into an indexed collection of semigroups at a point is a semigroup homomorphism. This is Function.eval i as a MulHom.

Defined in
Mathlib.Algebra.Group.Pi.Lemmas
Cited by
2 results in Mathlib
Foundations
Depth 6 from the axioms · uses no axioms
Assumes
Mul

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