Theorems · Definition · general algebraic systems
Finsupp.uniqueEquiv
{α : Type u_1} → {M : Type u_5} → [inst : Zero M] → α → [Subsingleton α] → (α →₀ M) ≃ MIf α has a unique term, then finitely supported functions α →₀ M are in bijection with M.
- Defined in
- Mathlib.Data.Finsupp.Single
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- ZeroSubsingleton
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.
- DFunLike.coeproof · cited by 62,936
- Equivstatement · cited by 8,337
- Finsuppstatement and proof · cited by 5,255
- Finsupp.singleproof · cited by 943
Cited by8
Results whose statement or proof uses this declaration.
- Finsupp.uniqueAddEquivproof · cited by 5
- PowerSeries.HasGaussNorm.hasMvGaussNormproof · cited by 3
- Finsupp.uniqueEquiv_applystatement and proof · cited by 3
- Finsupp.uniqueEquiv_symm_applystatement and proof · cited by 3
- PowerSeries.gaussNorm_eqproof · cited by 2
- Finsupp.uniqueEquiv_symm_apply_applystatement · cited by 1
- Finsupp.uniqueEquiv.congr_simpstatement and proof · cited by 0
- PowerSeries.isRestricted_iffproof · cited by 0