Theorems · Definition · category theory
CompHaus.of
(X : Type u_1) → [inst : TopologicalSpace X] → [CompactSpace X] → [T2Space X] → CompHaus
A constructor for objects of the category CompHaus,
taking a type, and bundling the compact Hausdorff topology
found by typeclass inference.
- Defined in
- Mathlib.Topology.Category.CompHaus.Basic
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 5 from the axioms · uses no axioms
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
- TopCatproof · cited by 1,889
- T2Spacestatement and proof · cited by 1,351
- CompactSpacestatement and proof · cited by 593
- CompHausstatement · cited by 61
- CompHausLike.ofproof · cited by 24
Cited by24
Results whose statement or proof uses this declaration.
- CondensedSet.toTopCatproof · cited by 5
- Condensed.underlyingproof · cited by 4
- CompHaus.isTerminalPUnitstatement · cited by 3
- CompHaus.epi_iff_surjectiveproof · cited by 2
- CondensedSet.toTopCatMapproof · cited by 2
- CondensedSet.topCatAdjunctionCounitproof · cited by 2
- CondensedSet.topCatAdjunctionCounitEquivproof · cited by 1
- CondensedSet.topCatAdjunctionUnitproof · cited by 1
- compactlyGeneratedSpace_of_isClosedproof · cited by 1
- compactlyGeneratedSpace_of_isOpenproof · cited by 1
- Stonean.mkFiniteproof · cited by 1
- stoneCechObjproof · cited by 1