Theorems · Theorem · general algebraic systems
Finsupp.optionElim_ne_zero_iff
∀ {α : Type u_1} {M : Type u_2} [inst : Zero M] (y : M) (f : α →₀ M), Finsupp.optionElim y f ≠ 0 ↔ f ≠ 0 ∨ y ≠ 0- Defined in
- Mathlib.Data.Finsupp.Option
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Zero
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsuppstatement and proof · cited by 5,255
- Finsupp.single_zeroproof · cited by 63
- Finsupp.optionElimstatement and proof · cited by 16
- Finsupp.optionElim_ne_zero_of_leftproof · cited by 1
- Finsupp.optionElim_ne_zero_of_rightproof · cited by 1
- Finsupp.optionElim_zeroproof · cited by 1
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