Theorems · Theorem · general algebraic systems
Finsupp.optionElim_zero
∀ {α : Type u_1} {M : Type u_2} [inst : Zero M] (y : M), Finsupp.optionElim y 0 = fun₀ | none => y- Defined in
- Mathlib.Data.Finsupp.Option
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 77 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.
- Finsuppstatement · cited by 5,255
- Finsupp.singlestatement · cited by 943
- Finsupp.extproof · cited by 399
- Finsupp.single_eq_sameproof · cited by 171
- Finsupp.single_eq_of_neproof · cited by 61
- Finsupp.optionElimstatement · cited by 16
- Finsupp.optionElim_apply_eq_elimproof · cited by 11
Cited by1
Results whose statement or proof uses this declaration.
- Finsupp.optionElim_ne_zero_iffproof · cited by 0