Theorems · Theorem · general topology
OpenPartialHomeomorph.lift_openEmbedding_symm_target
∀ {X : Type u_7} {X' : Type u_8} {Z : Type u_9} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace X']
[inst_2 : TopologicalSpace Z] [inst_3 : Nonempty Z] {f : X → X'} (e : OpenPartialHomeomorph X Z)
(hf : Topology.IsOpenEmbedding f), (e.lift_openEmbedding hf).symm.target = f '' e.source- Cited by
- 0 results in Mathlib
- Foundations
- Depth 90 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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
- Set.imagestatement and proof · cited by 5,609
- PartialEquiv.sourcestatement and proof · cited by 964
- PartialHomeomorph.toPartialEquivstatement and proof · cited by 917
- OpenPartialHomeomorph.toPartialHomeomorphstatement and proof · cited by 851
- OpenPartialHomeomorphstatement and proof · cited by 664
- PartialEquiv.targetstatement · cited by 650
- OpenPartialHomeomorph.symmstatement · cited by 460
- Topology.IsOpenEmbeddingstatement and proof · cited by 231
- OpenPartialHomeomorph.lift_openEmbeddingstatement and proof · cited by 14
- OpenPartialHomeomorph.lift_openEmbedding_sourceproof · cited by 2
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.