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Theorems · Theorem · probability

ProbabilityTheory.cond_empty

∀ {Ω : Type u_1} {m : MeasurableSpace Ω} (μ : MeasureTheory.Measure Ω), μ[|∅] = 0
Defined in
Mathlib.Probability.ConditionalProbability
Cited by
1 results in Mathlib
Foundations
Depth 201 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.

ProbabilityTheory.uniformOn_empty_meas · cited by 2ProbabilityTheory.uniform…Set · cited by 53352SetMeasurableSpace · cited by 13106MeasurableSpaceMeasureTheory.Measure · cited by 10939MeasureTheory.MeasureTop.top · cited by 9680Top.topsmul_zero · cited by 665smul_zeroMeasureTheory.measure_empty · cited by 169MeasureTheory.measure_emp…ProbabilityTheory.cond · cited by 43ProbabilityTheory.condENNReal.inv_zero · cited by 37ENNReal.inv_zeroMeasureTheory.Measure.restrict_empty · cited by 24Measure.restrict_emptyProbabilityTheory.cond_emptyCITED BYCITES

Cites9

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Cited by1

Results whose statement or proof uses this declaration.