Theorems · Theorem · general topology
Homeomorph.map_coclosedCompact
∀ {X : Type u_1} {Y : Type u_2} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] (h : X ≃ₜ Y),
Filter.map (⇑h) (Filter.coclosedCompact X) = Filter.coclosedCompact Y- Defined in
- Mathlib.Topology.Homeomorph.Lemmas
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- TopologicalSpacestatement and proof · cited by 24,529
- Filterstatement and proof · cited by 8,121
- Filter.mapstatement and proof · cited by 819
- Homeomorphstatement and proof · cited by 725
- Homeomorph.surjectiveproof · cited by 23
- Filter.coclosedCompactstatement and proof · cited by 20
- Filter.map_comap_of_surjectiveproof · cited by 11
- Homeomorph.comap_coclosedCompactproof · cited by 1
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.