Theorems · Theorem · general topology
IsDenseEmbedding.subtype
∀ {α : Type u_1} {β : Type u_2} [inst : TopologicalSpace α] [inst_1 : TopologicalSpace β] {e : α → β},
IsDenseEmbedding e → ∀ (p : α → Prop), IsDenseEmbedding (IsDenseEmbedding.subtypeEmb p e)- Defined in
- Mathlib.Topology.DenseEmbedding
- Cited by
- 3 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.
Cites22
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- Set.ofPredstatement and proof · cited by 6,101
- Set.imagestatement and proof · cited by 5,609
- nhdsproof · cited by 5,554
- Set.rangeproof · cited by 4,705
- Set.extproof · cited by 2,266
- closurestatement and proof · cited by 1,254
- Filter.comapproof · cited by 546
- Subtype.coe_injectiveproof · cited by 205
- Filter.comap_comapproof · cited by 69
- Set.image_eq_rangeproof · cited by 57
Cited by3
Results whose statement or proof uses this declaration.
- Complex.uniformContinuous_ringHom_eq_id_or_conjproof · cited by 1
- isUniformEmbedding_subtypeEmbproof · cited by 1
- uniform_extend_subtypeproof · cited by 0