Theorems · Theorem · Lie groups
Topology.IsInducing.continuousInv
∀ {G : Type u_1} {H : Type u_2} [inst : Inv G] [inst_1 : Inv H] [inst_2 : TopologicalSpace G]
[inst_3 : TopologicalSpace H] [ContinuousInv H] {f : G → H},
Topology.IsInducing f → (∀ (x : G), f x⁻¹ = (f x)⁻¹) → ContinuousInv G- 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.
- TopologicalSpacestatement and proof · cited by 24,529
- Continuousproof · cited by 2,592
- Topology.IsInducingstatement and proof · cited by 266
- ContinuousInvstatement and proof · cited by 89
- Topology.IsInducing.continuousproof · cited by 48
- Topology.IsInducing.continuous_iffproof · cited by 34
- Continuous.fun_invproof · cited by 7
Cited by1
Results whose statement or proof uses this declaration.
- Topology.IsInducing.topologicalGroupproof · cited by 1