Theorems · Theorem · general topology
Topology.IsEmbedding.toPullbackDiag
∀ {X : Type u_1} {Y : Sort u_2} [inst : TopologicalSpace X] (f : X → Y), Topology.IsEmbedding (toPullbackDiag f)- Defined in
- Mathlib.Topology.SeparatedMap
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- nhdsproof · cited by 5,554
- Filter.comapproof · cited by 546
- Topology.IsEmbeddingstatement · cited by 294
- inf_of_le_leftproof · cited by 186
- nhds_prod_eqproof · cited by 84
- Filter.comap_comapproof · cited by 69
- Filter.comap_infproof · cited by 33
- nhds_inducedproof · cited by 32
- Function.Pullbackstatement · cited by 29
- toPullbackDiagstatement and proof · cited by 9
- injective_toPullbackDiagproof · cited by 3
Cited by4
Results whose statement or proof uses this declaration.
- isSeparatedMap_iff_isClosedEmbeddingproof · cited by 1
- IsLocallyInjective_iff_isOpenEmbeddingproof · cited by 1
- isSeparatedMap_iff_isClosedMapproof · cited by 0
- isLocallyInjective_iff_isOpenMapproof · cited by 0