Mathlib Map

Theorems · Theorem · Lie groups

ContinuousAt.of_neg

∀ {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

Alias of the forward direction of continuousAt_neg_iff.

Defined in
Mathlib.Topology.Algebra.Group.Basic
Cited by
0 results in Mathlib
Foundations
Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpaceInvolutiveNegContinuousNegTopologicalSpace
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

TopologicalSpace · cited by 24529TopologicalSpaceContinuousAt · cited by 697ContinuousAtInvolutiveNeg · cited by 151InvolutiveNegContinuousNeg · cited by 119ContinuousNegcontinuousAt_neg_iff · cited by 1continuousAt_neg_iffContinuousAt.of_negCITED BYCITES

Cites5

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

Cited by0

Results whose statement or proof uses this declaration.

Nothing cites this yet.