Theorems · Theorem · general topology
TopologicalSpace.Compacts.isUniformEmbedding_toCloseds
∀ {α : Type u_1} [inst : UniformSpace α] [inst_1 : T2Space α], IsUniformEmbedding TopologicalSpace.Compacts.toCloseds- Defined in
- Mathlib.Topology.UniformSpace.Closeds
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- UniformSpaceT2Space
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- UniformSpacestatement and proof · cited by 2,040
- T2Spacestatement and proof · cited by 1,351
- TopologicalSpace.Compactsstatement · cited by 386
- TopologicalSpace.Closedsstatement · cited by 168
- IsUniformEmbeddingstatement · cited by 107
- Filter.comap_comapproof · cited by 69
- TopologicalSpace.Compacts.toClosedsstatement · cited by 12
- TopologicalSpace.Compacts.toCloseds_injectiveproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- TopologicalSpace.Compacts.isEmbedding_toClosedsproof · cited by 1
- TopologicalSpace.Compacts.uniformContinuous_toClosedsproof · cited by 1