Theorems · Theorem · general topology
Homeomorph.isDenseEmbedding
∀ {X : Type u_1} {Y : Type u_2} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] (h : X ≃ₜ Y),
IsDenseEmbedding ⇑h- Defined in
- Mathlib.Topology.Homeomorph.Lemmas
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- TopologicalSpacestatement and proof · cited by 24,529
- Homeomorphstatement and proof · cited by 725
- Topology.IsEmbeddingproof · cited by 294
- Topology.IsEmbedding.injectiveproof · cited by 103
- Homeomorph.isEmbeddingproof · cited by 73
- Topology.IsEmbedding.toIsInducingproof · cited by 48
- IsDenseEmbeddingstatement · cited by 24
- Homeomorph.surjectiveproof · cited by 23
- Function.Surjective.denseRangeproof · cited by 21
Cited by1
Results whose statement or proof uses this declaration.
- IsHomeomorph.isDenseEmbeddingproof · cited by 0