Theorems · Theorem · general topology
TopologicalSpace.Compacts.isUniformEmbedding_coe
∀ {α : Type u_1} [inst : UniformSpace α], IsUniformEmbedding SetLike.coe- Defined in
- Mathlib.Topology.UniformSpace.Closeds
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- UniformSpace
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.
- Setstatement · cited by 53,352
- SetLike.coestatement · cited by 8,199
- UniformSpacestatement and proof · cited by 2,040
- TopologicalSpace.Compactsstatement · cited by 386
- SetLike.coe_injectiveproof · cited by 374
- IsUniformEmbeddingstatement · cited by 107
- UniformSpace.hausdorffstatement · cited by 33
Cited by7
Results whose statement or proof uses this declaration.
- TopologicalSpace.Compacts.uniformContinuous_coeproof · cited by 4
- TopologicalSpace.Compacts.isUniformEmbedding_singletonproof · cited by 2
- TopologicalSpace.Compacts.uniformContinuous_supproof · cited by 1
- IsUniformInducing.compacts_mapproof · cited by 1
- UniformContinuous.compacts_mapproof · cited by 1
- TopologicalSpace.Compacts.uniformContinuous_prodproof · cited by 1
- TopologicalSpace.Compacts.totallyBounded_subsets_of_totallyBoundedproof · cited by 0