Theorems · Definition · general algebraic systems
Equiv.finsuppUnique
Deprecated since 2026-05-06Use Finsupp.uniqueEquiv instead.
{M : Type u_5} → [inst : Zero M] → {ι : Type u_13} → [Unique ι] → (ι →₀ M) ≃ MIf α has a unique term, the type of finitely supported functions α →₀ β is equivalent to β.
- Defined in
- Mathlib.Data.Finsupp.Single
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- Uniquestatement and proof · cited by 400
- Equiv.transproof · cited by 337
- Finsupp.equivFunOnFiniteproof · cited by 50
- Equiv.funUniqueproof · cited by 22
Cited by4
Results whose statement or proof uses this declaration.
- AddEquiv.finsuppUniqueproof · cited by 4
- Equiv.finsuppUnique_symm_apply_applystatement and proof · cited by 1
- Equiv.finsuppUnique_applystatement and proof · cited by 0
- Equiv.finsuppUnique_symm_apply_support_valstatement and proof · cited by 0