Theorems · Theorem · group theory

DirectSum.toAddMonoid.unique

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

Defined in

Mathlib.Algebra.DirectSum.Basic

Cited by

1 results in Mathlib

Foundations

Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddCommMonoidDecidableEqAddCommMonoid