Theorems · Theorem · Lie groups
continuousOn_inv_iff
∀ {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- 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
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- ContinuousOnstatement · cited by 1,411
- InvolutiveInvstatement and proof · cited by 102
- ContinuousInvstatement and proof · cited by 89
- Homeomorph.invproof · cited by 21
- Homeomorph.comp_continuousOn_iffproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- ContinuousOn.of_invproof · cited by 0