Theorems · Definition · general algebraic systems
Finsupp.optionEquiv
{α : Type u_1} → {M : Type u_2} → [inst : Zero M] → (Option α →₀ M) ≃ M × (α →₀ M)Finsupps from Option are equivalent to
pairs of an element and a Finsupp on the original type.
- Defined in
- Mathlib.Data.Finsupp.Option
- Cited by
- 3 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.
Cites7
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.embDomainproof · cited by 69
- Finsupp.updateproof · cited by 52
- Function.Embedding.someproof · cited by 43
- Finsupp.someproof · cited by 24
Cited by4
Results whose statement or proof uses this declaration.
- Finsupp.optionElimproof · cited by 16
- Finsupp.optionEquiv_symm_applystatement and proof · cited by 2
- Finsupp.eq_option_embedding_update_none_iffproof · cited by 1
- Finsupp.optionEquiv_applystatement and proof · cited by 0