Theorems · Theorem · measure theory
IsCompact.measurableSet
∀ {α : Type u_1} {s : Set α} [inst : TopologicalSpace α] [inst_1 : MeasurableSpace α] [OpensMeasurableSpace α]
[T2Space α], IsCompact s → MeasurableSet s- Cited by
- 25 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- MeasurableSpacestatement and proof · cited by 13,106
- MeasurableSetstatement · cited by 3,075
- T2Spacestatement and proof · cited by 1,351
- IsCompactstatement and proof · cited by 1,282
- OpensMeasurableSpacestatement and proof · cited by 636
- IsCompact.isClosedproof · cited by 77
- IsClosed.measurableSetproof · cited by 65
Cited by25
Results whose statement or proof uses this declaration.
- ContinuousOn.integrableOn_compactproof · cited by 8
- Module.Basis.map_addHaarproof · cited by 5
- MonotoneOn.memLp_isCompactproof · cited by 3
- ae_eq_zero_of_integral_contMDiff_smul_eq_zeroproof · cited by 3
- isCompact_setOfPred_finiteMeasure_le_of_isCompactproof · cited by 2
- isCompact_setOfPred_finiteMeasure_mass_le_compl_isCompact_leproof · cited by 2
- HasCompactSupport.hasFDerivAt_convolution_rightproof · cited by 2
- MeasureTheory.IntegrableOn.mul_continuousOnproof · cited by 1
- HasCompactSupport.exist_eLpNorm_sub_le_of_continuousproof · cited by 1
- MeasureTheory.IntegrableOn.smul_continuousOnproof · cited by 1