Theorems · Definition · general algebraic systems
Finsupp.sumFinsuppEquivProdFinsupp
{α : Type u_12} → {β : Type u_13} → {γ : Type u_14} → [inst : Zero γ] → (α ⊕ β →₀ γ) ≃ (α →₀ γ) × (β →₀ γ)The equivalence between (α ⊕ β) →₀ γ and (α →₀ γ) × (β →₀ γ).
This is the Finsupp version of Equiv.sum_arrow_equiv_prod_arrow.
- Defined in
- Mathlib.Data.Finsupp.Basic
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Zero
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Equivstatement · cited by 8,337
- Finsuppstatement and proof · cited by 5,255
- Finsupp.comapDomainproof · cited by 40
- Finsupp.sumElimproof · cited by 25
Cited by7
Results whose statement or proof uses this declaration.
- Finsupp.sumFinsuppAddEquivProdFinsuppproof · cited by 29
- Finsupp.sumFinsuppEquivProdFinsupp_applystatement and proof · cited by 0
- Finsupp.sumFinsuppEquivProdFinsupp_symm_applystatement and proof · cited by 0
- Finsupp.sumFinsuppEquivProdFinsupp_symm_inlstatement · cited by 0
- Finsupp.sumFinsuppEquivProdFinsupp_symm_inrstatement · cited by 0
- Finsupp.fst_sumFinsuppEquivProdFinsuppstatement · cited by 0
- Finsupp.snd_sumFinsuppEquivProdFinsuppstatement · cited by 0