Theorems · Inductive type · category theory
CompHausLike.HasProp
(TopCat → Prop) → (X : Type u) → [TopologicalSpace X] → Prop
This wraps the predicate P : TopCat → Prop in a typeclass.
- Cited by
- 19 results in Mathlib
- Foundations
- Depth 1 from the axioms · uses no axioms
- Assumes
- TopologicalSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement · cited by 24,529
- TopCatstatement · cited by 1,889
Cited by43
Results whose statement or proof uses this declaration.
- CompHausLike.ofstatement and proof · cited by 24
- CompHausLike.HasExplicitPullbackproof · cited by 14
- CompHausLike.ofHomstatement and proof · cited by 11
- CompHausLike.HasExplicitFiniteCoproductproof · cited by 8
- CompHausLike.LocallyConstant.fiberstatement and proof · cited by 8
- CompHausLike.LocallyConstant.sigmaInclstatement and proof · cited by 7
- CompHausLike.sigmaComparisonstatement and proof · cited by 5
- CompHausLike.isTerminalPUnitstatement and proof · cited by 5
- CompHausLike.LocallyConstant.counitAppstatement and proof · cited by 5
- CompHausLike.LocallyConstant.counitAppAppstatement and proof · cited by 5
- CompHausLike.LocallyConstant.sigmaIsostatement and proof · cited by 4
- CompHausLike.LocallyConstant.counitstatement and proof · cited by 4