ProbabilityTheory.cond_isProbabilityMeasure_of_finite

∀ {Ω : Type u_1} {m : MeasurableSpace Ω} {μ : MeasureTheory.Measure Ω} {s : Set Ω},
  μ s ≠ 0 → μ s ≠ ⊤ → MeasureTheory.IsProbabilityMeasure μ[|s]

The conditional probability measure of any measure on any set of finite positive measure is a probability measure.

Defined in: Mathlib.Probability.ConditionalProbability
Cited by: 3 results in Mathlib
Foundations: Depth 196 from the axioms · uses propext, Classical.choice, Quot.sound

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