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Theorems · Theorem · group theory

Finset.Nonempty.of_neg

∀ {α : Type u_2} [inst : DecidableEq α] [inst_1 : Neg α] {s : Finset α}, (-s).Nonempty → s.Nonempty

Alias of the forward direction of Finset.neg_nonempty_iff.

Defined in
Mathlib.Algebra.Group.Pointwise.Finset.Basic
Cited by
2 results in Mathlib
Foundations
Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
DecidableEqNeg
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Finset.sup'_neg · cited by 0Finset.sup'_negFinset.inf'_neg · cited by 0Finset.inf'_negFinset · cited by 13712FinsetFinset.Nonempty · cited by 1001Finset.NonemptyFinset.neg · cited by 63Finset.negFinset.neg_nonempty_iff · cited by 4Finset.neg_nonempty_iffNonempty.of_negCITED BYCITES

Cites4

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.