Theorems · Theorem · group theory

DirectSum.fromAddMonoid_of_apply

∀ {ι : Type v} {β : ι → Type w} [inst : (i : ι) → AddCommMonoid (β i)] [inst_1 : DecidableEq ι] {γ : Type u₁}
  [inst_2 : AddCommMonoid γ] (i : ι) (f : γ →+ β i) (x : γ),
  (DirectSum.fromAddMonoid ((DirectSum.of (fun i => γ →+ β i) i) f)) x = (DirectSum.of β i) (f x)

Defined in

Mathlib.Algebra.DirectSum.Basic

Cited by

0 results in Mathlib

Foundations

Depth 88 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddCommMonoidDecidableEqAddCommMonoid