coe_toMultiplicativeLeft — Mathlib

English

The coercion to MonoidHom from AddMonoidHom toMultiplicativeLeft is a definitional equality with a composition by Multiplicative.toAdd and Additive.toMul.

Русский

Коэрция к MonoidHom from AddMonoidHom toMultiplicativeLeft задаётся определением через композицию с Multiplicative.toAdd и Additive.toMul.

LaTeX

$$$\mathrm{coe}_{AddMonoidHom.toMultiplicativeLeft} = \mathrm{comp}_{toAdd, toMul}$$$

Lean4

@[simp, norm_cast]
theorem coe_toMultiplicativeLeft [AddZeroClass α] [MulOneClass β] (f : α →+ Additive β) :
    ⇑(toMultiplicativeLeft f) = toMul ∘ f ∘ toAdd :=
  rfl

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