Theorems · Theorem · general topology
OpenPartialHomeomorph.continuousOn_symm
∀ {X : Type u_1} {Y : Type u_3} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y]
(e : OpenPartialHomeomorph X Y), ContinuousOn (↑e.symm) e.target- Cited by
- 8 results in Mathlib
- Foundations
- Depth 54 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- ContinuousOnstatement · cited by 1,411
- PartialHomeomorph.toPartialEquivstatement · cited by 917
- OpenPartialHomeomorph.toPartialHomeomorphstatement and proof · cited by 851
- OpenPartialHomeomorph.toFun'statement · cited by 745
- OpenPartialHomeomorphstatement and proof · cited by 664
- PartialEquiv.targetstatement · cited by 650
- OpenPartialHomeomorph.symmstatement · cited by 460
- PartialHomeomorph.continuousOn_invFunproof · cited by 9
Cited by8
Results whose statement or proof uses this declaration.
- ChartedSpace.locallyCompactSpaceproof · cited by 5
- IsLocalHomeomorph.existsUnique_continuousMap_liftsproof · cited by 2
- contMDiffOn_isOpenEmbedding_symmproof · cited by 1
- EisensteinSeries.eisensteinSeries_tendstoLocallyUniformlyOnproof · cited by 1
- ChartedSpace.locallyPathConnectedSpaceproof · cited by 1
- Bundle.Trivialization.continuousOn_symmproof · cited by 1
- Bundle.Trivialization.continuous_coordChangeproof · cited by 0
- ChartedSpace.locallyConnectedSpaceproof · cited by 0