sumAddHom_singleAddHom — Mathlib

English

SumAddHom distributes over pointwise addition: sumAddHom (g i + h i) equals sumAddHom g plus sumAddHom h.

Русский

SumAddHom распадается на сумму: sumAddHom (g i + h i) = sumAddHom g + sumAddHom h.

LaTeX

$$$ (\\text{sumAddHom } (i \\mapsto g i + h i)) = (\\text{sumAddHom } g) + (\\text{sumAddHom } h). $$$

Lean4

@[simp]
theorem sumAddHom_singleAddHom [∀ i, AddCommMonoid (β i)] : sumAddHom (singleAddHom β) = AddMonoidHom.id _ :=
  liftAddHom_singleAddHom

Похожие утверждения