Theorems · Theorem · measure theory
MeasureTheory.diracProba_toMeasure_apply
∀ {X : Type u_1} [inst : MeasurableSpace X] [MeasurableSingletonClass X] (x : X) (A : Set X),
↑(MeasureTheory.diracProba x) A = A.indicator 1 x- Defined in
- Mathlib.MeasureTheory.Measure.DiracProba
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 175 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Setstatement and proof · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement · cited by 10,939
- ENNRealstatement · cited by 9,879
- Set.indicatorstatement · cited by 723
- MeasurableSingletonClassstatement and proof · cited by 230
- MeasureTheory.ProbabilityMeasure.toMeasurestatement · cited by 78
- MeasureTheory.diracProbastatement · cited by 15
- MeasureTheory.Measure.dirac_applyproof · cited by 9
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