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Theorems · Theorem · group theory

Set.neg_preimage

∀ {α : Type u_2} [inst : Neg α] {s : Set α}, Neg.neg ⁻¹' s = -s
Defined in
Mathlib.Algebra.Group.Pointwise.Set.Basic
Cited by
6 results in Mathlib
Foundations
Depth 6 from the axioms · uses no axioms
Assumes
Neg
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Around this declaration

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

MeasureTheory.quasiMeasurePreserving_neg · cited by 7MeasureTheory.quasiMeasur…MeasureTheory.SimpleFunc.setToSimpleFunc_sub · cited by 2SimpleFunc.setToSimpleFun…Filter.neg_mem_neg · cited by 0Filter.neg_mem_negFinset.preimage_neg · cited by 0Finset.preimage_negMeasureTheory.eventuallyConst_neg_set_ae · cited by 0MeasureTheory.eventuallyC…SeminormFamily.basisSets_neg · cited by 0SeminormFamily.basisSets_…Set · cited by 53352SetSet.preimage · cited by 4946Set.preimageSet.neg · cited by 168Set.negSet.neg_preimageCITED BYCITES

Cites3

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

  • Setstatement and proof · cited by 53,352
  • Set.preimagestatement · cited by 4,946
  • Set.negstatement · cited by 168

Cited by6

Results whose statement or proof uses this declaration.