Theorems · Theorem · general topology
Homeomorph.isOpenEmbedding
∀ {X : Type u_1} {Y : Type u_2} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] (h : X ≃ₜ Y),
Topology.IsOpenEmbedding ⇑h- Defined in
- Mathlib.Topology.Homeomorph.Defs
- Cited by
- 28 results in Mathlib
- Foundations
- Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- TopologicalSpacestatement and proof · cited by 24,529
- Homeomorphstatement and proof · cited by 725
- Topology.IsOpenEmbeddingstatement · cited by 231
- Homeomorph.isEmbeddingproof · cited by 73
- Homeomorph.isOpenMapproof · cited by 30
- Topology.IsOpenEmbedding.of_isEmbedding_isOpenMapproof · cited by 4
Cited by28
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.PresheafedSpace.GlueData.ι_isOpenEmbeddingproof · cited by 7
- smul_mem_nhds_smul_iffproof · cited by 5
- vadd_mem_nhds_vadd_iffproof · cited by 5
- Topology.IsLocallyConstructible.of_isOpenCoverproof · cited by 3
- TopCat.isOpenEmbedding_iff_isIso_compproof · cited by 2
- TopCat.snd_isOpenEmbedding_of_leftproof · cited by 2
- Real.isOpenEmbedding_expproof · cited by 2
- OpenPartialHomeomorph.isOpenEmbeddingproof · cited by 2
- Topology.IsOpenEmbedding.sumSwapproof · cited by 1
- CompHausLike.Sigma.isOpenEmbedding_ιproof · cited by 1
- Topology.IsOpenEmbedding.uliftMapproof · cited by 1
- Topology.IsOpenEmbedding.isLocalHomeomorphproof · cited by 1