Theorems · Theorem · general algebraic systems
Finsupp.nontrivial_iff
∀ {α : Type u_1} {M : Type u_5} [inst : Zero M], Nontrivial (α →₀ M) ↔ Nonempty α ∧ Nontrivial M- Defined in
- Mathlib.Data.Finsupp.Single
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Zero
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Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Finsuppstatement and proof · cited by 5,255
- Nontrivialstatement and proof · cited by 2,416
- Nontrivial.casesOnproof · cited by 6
- Finsupp.ne_iffproof · cited by 4
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