Theorems · Definition · category theory
CompHausLike.of
(P : TopCat → Prop) →
(X : Type u) →
[inst : TopologicalSpace X] → [CompactSpace X] → [T2Space X] → [CompHausLike.HasProp P X] → CompHausLike PA constructor for objects of the category CompHausLike P,
taking a type, and bundling the compact Hausdorff topology
found by typeclass inference.
- Cited by
- 24 results in Mathlib
- Foundations
- Depth 4 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- TopCatstatement and proof · cited by 1,889
- T2Spacestatement and proof · cited by 1,351
- CompactSpacestatement and proof · cited by 593
- CompHausLikestatement · cited by 145
- CompHausLike.HasPropstatement and proof · cited by 19
- CompHausLike.HasProp.hasPropproof · cited by 0
Cited by44
Results whose statement or proof uses this declaration.
- LightProfinite.ofproof · cited by 19
- CompHausLike.finiteCoproductproof · cited by 13
- CompHausLike.pullbackproof · cited by 13
- CompHaus.ofproof · cited by 11
- Profinite.ofproof · cited by 11
- CompHausLike.ofHomstatement · cited by 11
- CompHausLike.LocallyConstant.fiberproof · cited by 8
- CompHausLike.isTerminalPUnitstatement and proof · cited by 5
- CompHausLike.LocallyConstant.counitAppstatement and proof · cited by 5
- CompHausLike.LocallyConstant.counitAppAppstatement and proof · cited by 5
- CompHausLike.sigmaComparisonstatement and proof · cited by 5
- CompHausLike.LocallyConstant.counitstatement · cited by 4