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Theorems · Theorem · probability

ProbabilityTheory.HasLaw.fun_comp

∀ {Ω : Type u_1} {𝓧 : Type u_2} {mΩ : MeasurableSpace Ω} {m𝓧 : MeasurableSpace 𝓧} {X : Ω → 𝓧}
  {μ : MeasureTheory.Measure 𝓧} {P : MeasureTheory.Measure Ω} {𝓨 : Type u_3} {m𝓨 : MeasurableSpace 𝓨}
  {ν : MeasureTheory.Measure 𝓨} {Y : 𝓧 → 𝓨},
  ProbabilityTheory.HasLaw Y ν μ → ProbabilityTheory.HasLaw X μ P → ProbabilityTheory.HasLaw (fun ω => Y (X ω)) ν P
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Mathlib.Probability.HasLaw
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Foundations
Depth 207 from the axioms · uses propext, Classical.choice, Quot.sound
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MeasurableSpace · cited by 13106MeasurableSpaceMeasureTheory.Measure · cited by 10939MeasureTheory.MeasureProbabilityTheory.HasLaw · cited by 69ProbabilityTheory.HasLawProbabilityTheory.HasLaw.comp · cited by 12HasLaw.compHasLaw.fun_compCITED BYCITES

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