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Theorems · Theorem · group theory

Set.Finite.neg

∀ {α : Type u_2} [inst : InvolutiveNeg α] {s : Set α}, s.Finite → (-s).Finite

Alias of the reverse direction of Set.finite_neg.

Defined in
Mathlib.Algebra.Group.Pointwise.Set.Finite
Cited by
1 results in Mathlib
Foundations
Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
InvolutiveNeg
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Around this declaration

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

AddSubgroup.fg_iff_addSubmonoid_fg · cited by 6AddSubgroup.fg_iff_addSub…Set · cited by 53352SetSet.Finite · cited by 1814Set.FiniteSet.neg · cited by 168Set.negInvolutiveNeg · cited by 151InvolutiveNegSet.finite_neg · cited by 3Set.finite_negFinite.negCITED BYCITES

Cites5

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

Cited by1

Results whose statement or proof uses this declaration.