Theorems · Theorem · general topology
Homeomorph.paracompactSpace_iff
∀ {X : Type v} {Y : Type w} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] (e : X ≃ₜ Y),
ParacompactSpace X ↔ ParacompactSpace Y- Defined in
- Mathlib.Topology.Compactness.Paracompact
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- Homeomorphstatement and proof · cited by 725
- Homeomorph.symmproof · cited by 365
- Homeomorph.isClosedEmbeddingproof · cited by 37
- ParacompactSpacestatement and proof · cited by 11
- Topology.IsClosedEmbedding.paracompactSpaceproof · cited by 1
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.