Theorems · Theorem · general topology
Homeomorph.isEmbedding
∀ {X : Type u_1} {Y : Type u_2} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] (h : X ≃ₜ Y),
Topology.IsEmbedding ⇑h- Defined in
- Mathlib.Topology.Homeomorph.Defs
- Cited by
- 73 results in Mathlib
- Foundations
- Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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.IsEmbeddingstatement · cited by 294
- Homeomorph.isInducingproof · cited by 33
- Homeomorph.injectiveproof · cited by 14
Cited by73
Results whose statement or proof uses this declaration.
- Homeomorph.isClosedEmbeddingproof · cited by 37
- Homeomorph.map_nhds_eqproof · cited by 31
- Homeomorph.isOpenEmbeddingproof · cited by 28
- Topology.IsEmbedding.isStrictMap_iffproof · cited by 6
- Homeomorph.discreteTopologyproof · cited by 5
- Homeomorph.isSimplyConnected_imageproof · cited by 3
- Homeomorph.map_punctured_nhds_eqproof · cited by 3
- LinearMap.isClosedEmbedding_of_injectiveproof · cited by 3
- IsHomeomorph.isEmbeddingproof · cited by 3
- Homeomorph.t2Spaceproof · cited by 3
- Homeomorph.isCompact_imageproof · cited by 2
- TopCat.snd_isEmbedding_of_leftproof · cited by 2