Theorems · Theorem · general topology
isUniformEmbedding_subtypeEmb
∀ {α : Type u} {β : Type v} [inst : UniformSpace α] [inst_1 : UniformSpace β] (p : α → Prop) {e : α → β},
IsUniformEmbedding e → IsDenseEmbedding e → IsUniformEmbedding (IsDenseEmbedding.subtypeEmb p e)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- UniformSpaceUniformSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Set.ofPredstatement · cited by 6,101
- Set.imagestatement · cited by 5,609
- UniformSpacestatement and proof · cited by 2,040
- closurestatement · cited by 1,254
- uniformityproof · cited by 765
- Filter.comapproof · cited by 546
- IsUniformEmbeddingstatement and proof · cited by 107
- Filter.comap_comapproof · cited by 69
- IsUniformEmbedding.toIsUniformInducingproof · cited by 44
- IsDenseEmbeddingstatement and proof · cited by 24
- IsUniformInducing.comap_uniformityproof · cited by 22
Cited by1
Results whose statement or proof uses this declaration.
- uniform_extend_subtypeproof · cited by 0