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Theorems · Definition · group theory

Pi.mulHom

Deprecated since 2026-05-29Use MulHom.pi instead.

{I : Type u} →
  {f : I → Type v} →
    [inst : (i : I) → Mul (f i)] → {γ : Type w} → [inst_1 : Mul γ] → ((i : I) → γ →ₙ* f i) → γ →ₙ* (i : I) → f i

Alias of MulHom.pi. A family of MulHom's f a : γ →ₙ* β a defines a MulHom MulHom.pi f : γ →ₙ* Π a, β a given by MulHom.pi f x b = f b x.

Defined in
Mathlib.Algebra.Group.Pi.Lemmas
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Foundations
Depth 12 from the axioms · uses Quot.sound
Assumes
MulMul

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