Theorems · Definition · linear algebra

Finsupp.sumFinsuppLEquivProdFinsupp

{M : Type u_2} →
  (R : Type u_5) →
    [inst : Semiring R] →
      [inst_1 : AddCommMonoid M] →
        [inst_2 : Module R M] → {α : Type u_7} → {β : Type u_8} → (α ⊕ β →₀ M) ≃ₗ[R] (α →₀ M) × (β →₀ M)

The linear equivalence between (α ⊕ β) →₀ M and (α →₀ M) × (β →₀ M). This is the LinearEquiv version of Finsupp.sumFinsuppEquivProdFinsupp.

Defined in

Mathlib.LinearAlgebra.Finsupp.SumProd

Cited by

11 results in Mathlib

Foundations

Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringAddCommMonoidModule