Theorems · Theorem · general topology
OpenPartialHomeomorph.isOpenEmbedding_restrict
∀ {X : Type u_1} {Y : Type u_3} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y]
(e : OpenPartialHomeomorph X Y), Topology.IsOpenEmbedding (e.source.domRestrict ↑e)- Cited by
- 2 results in Mathlib
- Foundations
- Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
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.Elemstatement · cited by 7,166
- IsOpenproof · cited by 2,400
- PartialEquiv.sourcestatement and proof · cited by 964
- PartialHomeomorph.toPartialEquivstatement and proof · cited by 917
- OpenPartialHomeomorph.toPartialHomeomorphstatement and proof · cited by 851
- OpenPartialHomeomorph.toFun'statement and proof · cited by 745
- OpenPartialHomeomorphstatement and proof · cited by 664
- Set.domRestrictstatement and proof · cited by 383
- Topology.IsEmbeddingproof · cited by 294
- Topology.IsOpenEmbeddingstatement · cited by 231
Cited by2
Results whose statement or proof uses this declaration.
- OpenPartialHomeomorph.isOpenEmbeddingproof · cited by 2
- isLocalHomeomorphOn_iff_isOpenEmbedding_restrictproof · cited by 0