Theorems · Definition · general algebraic systems
finsuppEquivDFinsupp
{ι : Type u_1} →
{M : Type u_3} → [DecidableEq ι] → [inst : Zero M] → [(m : M) → Decidable (m ≠ 0)] → (ι →₀ M) ≃ Π₀ (x : ι), MFinsupp.toDFinsupp and DFinsupp.toFinsupp together form an equiv.
- Defined in
- Mathlib.Data.Finsupp.ToDFinsupp
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqZeroDecidable
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Equivstatement · cited by 8,337
- Finsuppstatement · cited by 5,255
- DFinsuppstatement · cited by 694
- Finsupp.toDFinsuppproof · cited by 21
- DFinsupp.toFinsuppproof · cited by 13
- Finsupp.toDFinsupp_toFinsuppproof · cited by 1
- DFinsupp.toFinsupp_toDFinsuppproof · cited by 1
Cited by4
Results whose statement or proof uses this declaration.
- finsuppLequivDFinsuppproof · cited by 11
- finsuppAddEquivDFinsuppproof · cited by 2
- finsuppEquivDFinsupp_applystatement and proof · cited by 0
- finsuppEquivDFinsupp_symm_applystatement and proof · cited by 0