Theorems · Theorem · general topology
OpenPartialHomeomorph.lift_openEmbedding_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).target = e.target- Cited by
- 0 results in Mathlib
- Foundations
- Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- PartialHomeomorph.toPartialEquivstatement · cited by 917
- OpenPartialHomeomorph.toPartialHomeomorphstatement · cited by 851
- OpenPartialHomeomorphstatement and proof · cited by 664
- PartialEquiv.targetstatement · cited by 650
- Topology.IsOpenEmbeddingstatement and proof · cited by 231
- OpenPartialHomeomorph.lift_openEmbeddingstatement · cited by 14
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