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Theorems · Theorem · Lie groups

continuousOn_neg_iff

∀ {G : Type w} {α : Type u} [inst : TopologicalSpace G] [inst_1 : InvolutiveNeg G] [ContinuousNeg G]
  [inst_3 : TopologicalSpace α] {f : α → G} {s : Set α}, ContinuousOn (-f) s ↔ ContinuousOn f s
Defined in
Mathlib.Topology.Algebra.Group.Basic
Cited by
1 results in Mathlib
Foundations
Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpaceInvolutiveNegContinuousNegTopologicalSpace
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Around this declaration

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ContinuousOn.of_neg · cited by 0ContinuousOn.of_negSet · cited by 53352SetTopologicalSpace · cited by 24529TopologicalSpaceContinuousOn · cited by 1411ContinuousOnInvolutiveNeg · cited by 151InvolutiveNegContinuousNeg · cited by 119ContinuousNegHomeomorph.neg · cited by 24Homeomorph.negHomeomorph.comp_continuousOn_iff · cited by 4Homeomorph.comp_continuou…continuousOn_neg_iffCITED BYCITES

Cites7

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Cited by1

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