coe_toMultiplicativeRight — Mathlib

English

The coercion to Multiplicative on AddMonoidHom( Additive α → β ) matches the composition with Multiplicative.ofAdd and Additive.toMul.

Русский

Коэрция к Multiplicative для AddMonoidHom совпадает с композицией с Multiplicative.ofAdd и Additive.toMul.

LaTeX

$$$\operatorname{coe}_{AddMonoidHom}.(toMultiplicativeRight f) = \mathrm{ofAdd} \circ f \circ \mathrm{ofMul}$$$

Lean4

@[simp, norm_cast]
theorem coe_toMultiplicativeRight [MulOneClass α] [AddZeroClass β] (f : Additive α →+ β) :
    ⇑(toMultiplicativeRight f) = ofAdd ∘ f ∘ ofMul :=
  rfl

Похожие утверждения