Theorems · Theorem · Lie groups
continuousAt_inv_iff
∀ {G : Type w} {α : Type u} [inst : TopologicalSpace G] [inst_1 : InvolutiveInv G] [ContinuousInv G]
[inst_3 : TopologicalSpace α] {f : α → G} {x : α}, ContinuousAt f⁻¹ 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
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- ContinuousAtstatement · cited by 697
- InvolutiveInvstatement and proof · cited by 102
- ContinuousInvstatement and proof · cited by 89
- Homeomorph.invproof · cited by 21
- Homeomorph.comp_continuousAt_iffproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- ContinuousAt.of_invproof · cited by 0