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Theorems · Theorem · measure theory

MeasureTheory.nullMeasurableSet_singleton

∀ {α : Type u_2} {m0 : MeasurableSpace α} {μ : MeasureTheory.Measure α}
  [MeasurableSingletonClass (MeasureTheory.NullMeasurableSpace α μ)] (x : α), MeasureTheory.NullMeasurableSet {x} μ
Defined in
Mathlib.MeasureTheory.Measure.NullMeasurable
Cited by
4 results in Mathlib
Foundations
Depth 174 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
MeasurableSingletonClass
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

MeasureTheory.Measure.NullMeasurableSet.const_smul · cited by 0NullMeasurableSet.const_s…StieltjesFunction.measure_Iio · cited by 0StieltjesFunction.measure…MeasureTheory.nullMeasurableSet_eq · cited by 0MeasureTheory.nullMeasura…StieltjesFunction.measure_Ioi · cited by 0StieltjesFunction.measure…Set · cited by 53352SetMeasurableSpace · cited by 13106MeasurableSpaceMeasureTheory.Measure · cited by 10939MeasureTheory.MeasureMeasureTheory.NullMeasurableSet · cited by 337MeasureTheory.NullMeasura…MeasurableSingletonClass · cited by 230MeasurableSingletonClassMeasurableSingletonClass.measurableSet_singleton · cited by 53MeasurableSingletonClass.…MeasureTheory.NullMeasurableSpace · cited by 12MeasureTheory.NullMeasura…MeasureTheory.nullMeasurableS…CITED BYCITES

Cites7

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Cited by4

Results whose statement or proof uses this declaration.