Theorems · Theorem · Lie groups
Continuous.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}, Continuous f → Continuous f⁻¹- Defined in
- Mathlib.Topology.Algebra.Group.Defs
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses no axioms
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.
- TopologicalSpacestatement and proof · cited by 24,529
- Continuousstatement and proof · cited by 2,592
- Continuous.compproof · cited by 371
- ContinuousInvstatement and proof · cited by 89
- ContinuousInv.continuous_invproof · cited by 27
Cited by4
Results whose statement or proof uses this declaration.
- Continuous.fun_invproof · cited by 7
- isClosed_setOfPred_map_invproof · cited by 1
- MeasureTheory.continuous_integral_apply_inv_mulproof · cited by 1