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Theorems · Definition · measure theory

MeasureTheory.Measure.toOuterMeasure

{α : Type u_6} → [inst : MeasurableSpace α] → MeasureTheory.Measure α → MeasureTheory.OuterMeasure α
Defined in
Mathlib.MeasureTheory.Measure.MeasureSpaceDef
Cited by
75 results in Mathlib
Foundations
Depth 2 from the axioms · uses no axioms
Assumes
MeasurableSpace
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Around this declaration

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

MeasureTheory.Measure.ext · cited by 308Measure.extMeasureTheory.Measure.trim · cited by 286Measure.trimMeasureTheory.Measure.sum · cited by 121Measure.sumMeasureTheory.Measure.comap · cited by 96Measure.comapMeasureTheory.Measure.sum_apply · cited by 50Measure.sum_applyMeasureTheory.measure_iUnion · cited by 39MeasureTheory.measure_iUn…MeasureTheory.Measure.restrict_apply' · cited by 32Measure.restrict_apply'MeasureTheory.trim_measurableSet_eq · cited by 22MeasureTheory.trim_measur…MeasureTheory.exists_measurable_superset · cited by 10MeasureTheory.exists_meas…MeasureTheory.le_trim · cited by 10MeasureTheory.le_trimMeasureTheory.Measure.restrict_apply₀ · cited by 10Measure.restrict_apply₀MeasureTheory.Measure.coe_toOuterMeasure · cited by 8Measure.coe_toOuterMeasureMeasureTheory.Measure.InnerRegularWRT.measure_eq_iSup · cited by 7InnerRegularWRT.measure_e…MeasureTheory.isTightMeasureSet_iff_exists_isCompact_measure_compl_le · cited by 7MeasureTheory.isTightMeas…MeasureTheory.Measure.trimmed · cited by 6Measure.trimmedMeasurableSpace · cited by 13106MeasurableSpaceMeasureTheory.Measure · cited by 10939MeasureTheory.MeasureMeasureTheory.OuterMeasure · cited by 287MeasureTheory.OuterMeasureMeasure.toOuterMeasureCITED BYCITES

Cites3

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

Cited by80

Results whose statement or proof uses this declaration.