| {"name":"ProbabilityTheory.kernel.IndepFun.ae_eq'","declaration":"/-- in mathlib as of `4d385393cd569f08ac30425ef886a57bb10daaa5` (TODO: bump) -/\ntheorem ProbabilityTheory.kernel.IndepFun.ae_eq' {α : Type u_6} {Ω : Type u_5} {β : Type u_1} {β' : Type u_2} {_mα : MeasurableSpace α} {_mΩ : MeasurableSpace Ω} {κ : ↥(ProbabilityTheory.kernel α Ω)} {μ : MeasureTheory.Measure α} {mβ : MeasurableSpace β} {mβ' : MeasurableSpace β'} {f : Ω → β} {f' : Ω → β} {g : Ω → β'} {g' : Ω → β'} (hfg : ProbabilityTheory.kernel.IndepFun f g κ μ) (hf : ∀ᵐ (a : α) ∂μ, f =ᶠ[MeasureTheory.Measure.ae (κ a)] f') (hg : ∀ᵐ (a : α) ∂μ, g =ᶠ[MeasureTheory.Measure.ae (κ a)] g') : ProbabilityTheory.kernel.IndepFun f' g' κ μ"} | |