Mathlib Map

Theorems · Theorem · Lie groups

ContinuousOn.of_inv

∀ {G : Type w} {α : Type u} [inst : TopologicalSpace G] [inst_1 : InvolutiveInv G] [ContinuousInv G]
  [inst_3 : TopologicalSpace α] {f : α → G} {s : Set α}, ContinuousOn f⁻¹ s → ContinuousOn f s

Alias of the forward direction of continuousOn_inv_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
TopologicalSpaceInvolutiveInvContinuousInvTopologicalSpace
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Set · cited by 53352SetTopologicalSpace · cited by 24529TopologicalSpaceContinuousOn · cited by 1411ContinuousOnInvolutiveInv · cited by 102InvolutiveInvContinuousInv · cited by 89ContinuousInvcontinuousOn_inv_iff · cited by 1continuousOn_inv_iffContinuousOn.of_invCITED BYCITES

Cites6

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.