Theorems · Theorem · measure theory
IsClosed.nullMeasurableSet
∀ {α : Type u_1} {s : Set α} [inst : TopologicalSpace α] [inst_1 : MeasurableSpace α] [OpensMeasurableSpace α]
{μ : MeasureTheory.Measure α}, IsClosed s → MeasureTheory.NullMeasurableSet s μ- Cited by
- 8 results in Mathlib
- Foundations
- Depth 175 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
- MeasureTheory.Measurestatement and proof · cited by 10,939
- IsClosedstatement and proof · cited by 1,639
- OpensMeasurableSpacestatement and proof · cited by 636
- MeasureTheory.NullMeasurableSetstatement · cited by 337
- MeasurableSet.nullMeasurableSetproof · cited by 155
- IsClosed.measurableSetproof · cited by 65
Cited by8
Results whose statement or proof uses this declaration.
- MeasurableSet.exists_isCompact_isClosed_sdiff_ltproof · cited by 5
- MeasurableSet.exists_isClosed_sdiff_ltproof · cited by 3
- MeasureTheory.eventually_nhds_one_measure_smul_sdiff_ltproof · cited by 3
- MeasureTheory.tendsto_measure_symmDiff_preimage_nhds_zeroproof · cited by 2
- MeasureTheory.eventually_nhds_zero_measure_vadd_sdiff_ltproof · cited by 2
- MeasurableSet.exists_isOpen_symmDiff_ltproof · cited by 1
- IsCompact.nullMeasurableSetproof · cited by 1
- tendsto_measure_cthickeningproof · cited by 1