Theorems · Theorem · probability

ProbabilityTheory.HasLaw.aemeasurable

∀ {Ω : Type u_1} {𝓧 : Type u_2} {mΩ : MeasurableSpace Ω} {m𝓧 : MeasurableSpace 𝓧} {X : Ω → 𝓧}
  {μ : MeasureTheory.Measure 𝓧} {P : autoParam (MeasureTheory.Measure Ω) ProbabilityTheory.HasLaw._auto_1},
  ProbabilityTheory.HasLaw X μ P → AEMeasurable X P

Defined in: Mathlib.Probability.HasLaw
Cited by: 24 results in Mathlib
Foundations: Depth 172 from the axioms · uses propext, Classical.choice, Quot.sound

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Cites4

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

MeasurableSpacestatement and proof · cited by 13,106
MeasureTheory.Measurestatement and proof · cited by 10,939
AEMeasurablestatement · cited by 840
ProbabilityTheory.HasLawstatement and proof · cited by 69

Cited by24

Results whose statement or proof uses this declaration.

ProbabilityTheory.HasLaw.compproof · cited by 12
ProbabilityTheory.HasCondDistrib.aemeasurable_fstproof · cited by 4
ProbabilityTheory.HasCondDistrib.aemeasurable_sndproof · cited by 4
ProbabilityTheory.IndepFun.hasLaw_addproof · cited by 3
ProbabilityTheory.HasLaw.ae_eq_of_smul_diracproof · cited by 2
ProbabilityTheory.HasLaw.ae_iffproof · cited by 2
ProbabilityTheory.HasLaw.congrproof · cited by 2
ProbabilityTheory.iIndepFun.hasLaw_piproof · cited by 1
ProbabilityTheory.HasIndepIncrements.isPreBrownianReal_of_hasLawproof · cited by 1
ProbabilityTheory.indepFun_iff_hasLaw_prodMk_prodproof · cited by 1
ProbabilityTheory.HasLaw.covariance_compproof · cited by 1
ProbabilityTheory.HasLaw.integral_compproof · cited by 1