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Theorems · Theorem · Lie groups

continuousAt_neg_iff

∀ {G : Type w} {α : Type u} [inst : TopologicalSpace G] [inst_1 : InvolutiveNeg G] [ContinuousNeg G]
  [inst_3 : TopologicalSpace α] {f : α → G} {x : α}, ContinuousAt (-f) x ↔ ContinuousAt f x
Defined in
Mathlib.Topology.Algebra.Group.Basic
Cited by
1 results in Mathlib
Foundations
Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpaceInvolutiveNegContinuousNegTopologicalSpace
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Around this declaration

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ContinuousAt.of_neg · cited by 0ContinuousAt.of_negTopologicalSpace · cited by 24529TopologicalSpaceContinuousAt · cited by 697ContinuousAtInvolutiveNeg · cited by 151InvolutiveNegContinuousNeg · cited by 119ContinuousNegHomeomorph.neg · cited by 24Homeomorph.negHomeomorph.comp_continuousAt_iff · cited by 2Homeomorph.comp_continuou…continuousAt_neg_iffCITED BYCITES

Cites6

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Cited by1

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