Theorems · Theorem · Lie groups
ContinuousOn.inv
∀ {G : Type u_1} {X : Type u_3} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace G] [inst_2 : Inv G]
[ContinuousInv G] {f : X → G} {s : Set X}, ContinuousOn f s → ContinuousOn f⁻¹ s- Defined in
- Mathlib.Topology.Algebra.Group.Defs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 61 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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 and proof · cited by 1,411
- ContinuousInvstatement and proof · cited by 89
- ContinuousWithinAt.invproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- ContinuousOn.fun_invproof · cited by 0