Theorems · Theorem · general topology
TopologicalSpace.PositiveCompacts.isCompact
∀ {α : Type u_1} [inst : TopologicalSpace α] (s : TopologicalSpace.PositiveCompacts α), IsCompact ↑s- Defined in
- Mathlib.Topology.Sets.Compacts
- Cited by
- 21 results in Mathlib
- Foundations
- Depth 55 from the axioms · uses propext, Quot.sound
- Assumes
- TopologicalSpace
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
- SetLike.coestatement · cited by 8,199
- IsCompactstatement · cited by 1,282
- TopologicalSpace.PositiveCompactsstatement and proof · cited by 112
- TopologicalSpace.Compacts.isCompact'proof · cited by 19
- TopologicalSpace.PositiveCompacts.toCompactsproof · cited by 14
Cited by21
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.addHaarMeasure_uniqueproof · cited by 9
- MeasureTheory.Measure.addHaarMeasure_selfproof · cited by 6
- MeasureTheory.Measure.haar.index_posproof · cited by 5
- Module.Basis.map_addHaarproof · cited by 5
- MeasureTheory.Measure.haar.addIndex_posproof · cited by 5
- MeasureTheory.Measure.haarMeasure_selfproof · cited by 4
- MeasureTheory.Measure.haarMeasure_uniqueproof · cited by 4
- TopologicalSpace.PositiveCompacts.locallyCompactSpace_of_addGroupproof · cited by 2
- TopologicalSpace.PositiveCompacts.locallyCompactSpace_of_groupproof · cited by 2
- MeasureTheory.Measure.haar.le_addIndex_mulproof · cited by 1
- MeasureTheory.Measure.haar.le_index_mulproof · cited by 1
- AddMonoidHom.exists_nhds_isBoundedproof · cited by 1