Theorems · Theorem · general topology
Homeomorph.comap_coclosedCompact
∀ {X : Type u_1} {Y : Type u_2} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] (h : X ≃ₜ Y),
Filter.comap (⇑h) (Filter.coclosedCompact Y) = Filter.coclosedCompact X- Defined in
- Mathlib.Topology.Homeomorph.Lemmas
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- DFunLike.coestatement and proof · cited by 62,936
- Setproof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- Filterstatement · cited by 8,121
- Set.preimageproof · cited by 4,946
- Compl.complproof · cited by 2,925
- Homeomorphstatement and proof · cited by 725
- Filter.HasBasisproof · cited by 604
- Filter.comapstatement · cited by 546
- Filter.HasBasis.comapproof · cited by 89
- Filter.coclosedCompactstatement and proof · cited by 20
- Homeomorph.injectiveproof · cited by 14
Cited by1
Results whose statement or proof uses this declaration.
- Homeomorph.map_coclosedCompactproof · cited by 0