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Theorems · Theorem · Lie groups

ContinuousOn.of_neg

∀ {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

Alias of the forward direction of continuousOn_neg_iff.

Defined in
Mathlib.Topology.Algebra.Group.Basic
Cited by
0 results in Mathlib
Foundations
Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpaceInvolutiveNegContinuousNegTopologicalSpace
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Set · cited by 53352SetTopologicalSpace · cited by 24529TopologicalSpaceContinuousOn · cited by 1411ContinuousOnInvolutiveNeg · cited by 151InvolutiveNegContinuousNeg · cited by 119ContinuousNegcontinuousOn_neg_iff · cited by 1continuousOn_neg_iffContinuousOn.of_negCITED BYCITES

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