Mathlib Map

Theorems · Theorem · measure theory

MeasureTheory.NullMeasurableSet.measurable_of_complete

∀ {α : Type u_2} {m0 : MeasurableSpace α} {μ : MeasureTheory.Measure α} {s : Set α},
  MeasureTheory.NullMeasurableSet s μ → ∀ [μ.IsComplete], MeasurableSet s
Defined in
Mathlib.MeasureTheory.Measure.NullMeasurable
Cited by
1 results in Mathlib
Foundations
Depth 182 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
MeasureTheory.Measure.IsComplete
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

MeasureTheory.NullMeasurable.measurable_of_complete · cited by 2NullMeasurable.measurable…Set · cited by 53352SetMeasurableSpace · cited by 13106MeasurableSpaceMeasureTheory.Measure · cited by 10939MeasureTheory.MeasureMeasurableSet · cited by 3075MeasurableSetMeasureTheory.NullMeasurableSet · cited by 337MeasureTheory.NullMeasura…MeasureTheory.measurableSet_toMeasurable · cited by 62MeasureTheory.measurableS…MeasurableSet.diff · cited by 53MeasurableSet.diffMeasureTheory.subset_toMeasurable · cited by 52MeasureTheory.subset_toMe…Filter.EventuallyEq.le · cited by 46EventuallyEq.leSet.sdiff_sdiff_cancel_left · cited by 21Set.sdiff_sdiff_cancel_le…MeasureTheory.ae_le_set · cited by 13MeasureTheory.ae_le_setMeasureTheory.NullMeasurableSet.toMeasurable_ae_eq · cited by 13NullMeasurableSet.toMeasu…MeasureTheory.Measure.IsComplete · cited by 9Measure.IsCompleteMeasureTheory.measurableSet_of_null · cited by 1MeasureTheory.measurableS…NullMeasurableSet.measurable_…CITED BYCITES

Cites14

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by1

Results whose statement or proof uses this declaration.