Theorems · Theorem · general algebraic systems
Finsupp.optionElim_apply_some
∀ {α : Type u_1} {M : Type u_2} [inst : Zero M] (y : M) (f : α →₀ M) (x : α), (Finsupp.optionElim y f) (some x) = f x- Defined in
- Mathlib.Data.Finsupp.Option
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 75 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.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Finsuppstatement and proof · cited by 5,255
- Function.update_of_neproof · cited by 198
- Finsupp.embDomainproof · cited by 69
- Function.Embedding.someproof · cited by 43
- Finsupp.coe_updateproof · cited by 19
- Finsupp.optionElimstatement · cited by 16
- Finsupp.optionEquiv_symm_applyproof · cited by 2
- Finsupp.embDomain_some_someproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Finsupp.optionElim_apply_eq_elimproof · cited by 11