Theorems · Definition · general topology
TopologicalSpace.PositiveCompacts.toCompacts
{α : Type u_4} → [inst : TopologicalSpace α] → TopologicalSpace.PositiveCompacts α → TopologicalSpace.Compacts α- Defined in
- Mathlib.Topology.Sets.Compacts
- Cited by
- 14 results in Mathlib
- Foundations
- Depth 2 from the axioms · uses no axioms
- Assumes
- TopologicalSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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
- TopologicalSpace.Compactsstatement · cited by 386
- TopologicalSpace.PositiveCompactsstatement and proof · cited by 112
Cited by16
Results whose statement or proof uses this declaration.
- TopologicalSpace.PositiveCompacts.isCompactproof · cited by 21
- TopologicalSpace.PositiveCompacts.mapproof · cited by 7
- MeasureTheory.Measure.haar.haarContent_outerMeasure_self_posproof · cited by 1
- MeasureTheory.Measure.haar.haarContent_selfstatement and proof · cited by 1
- TopologicalSpace.PositiveCompacts.interior_nonempty'statement · cited by 1
- MeasureTheory.Measure.haar.addCHaar_selfstatement and proof · cited by 1
- MeasureTheory.Measure.haar.addHaarContent_outerMeasure_self_posproof · cited by 1
- MeasureTheory.Measure.haar.addHaarContent_selfstatement and proof · cited by 1
- MeasureTheory.Measure.haar.prehaar_selfstatement and proof · cited by 1
- MeasureTheory.Measure.haar.addPrehaar_selfstatement and proof · cited by 1
- MeasureTheory.Measure.haar.chaar_selfstatement and proof · cited by 1
- TopologicalSpace.PositiveCompacts.carrier_eq_coestatement · cited by 0