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Theorems · Definition · measure theory

MeasureTheory.OuterMeasure.dirac

{α : Type u_1} → α → MeasureTheory.OuterMeasure α

The dirac outer measure.

Defined in
Mathlib.MeasureTheory.OuterMeasure.Operations
Cited by
7 results in Mathlib
Foundations
Depth 132 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

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

MeasureTheory.Measure.dirac · cited by 210Measure.diracMeasureTheory.Measure.dirac_apply' · cited by 43Measure.dirac_apply'PMF.toOuterMeasure · cited by 26PMF.toOuterMeasureMeasureTheory.OuterMeasure.top_apply · cited by 5OuterMeasure.top_applyMeasureTheory.Measure.le_dirac_apply · cited by 2Measure.le_dirac_applyMeasureTheory.OuterMeasure.dirac_apply · cited by 1OuterMeasure.dirac_applyMeasureTheory.OuterMeasure.dirac_caratheodory · cited by 1OuterMeasure.dirac_carath…MeasureTheory.OuterMeasure.smul_dirac_apply · cited by 1OuterMeasure.smul_dirac_a…PMF.toOuterMeasure_caratheodory · cited by 0PMF.toOuterMeasure_carath…Set · cited by 53352SetSet.indicator · cited by 723Set.indicatorMeasureTheory.OuterMeasure · cited by 287MeasureTheory.OuterMeasureOuterMeasure.diracCITED BYCITES

Cites3

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

Cited by9

Results whose statement or proof uses this declaration.