Theorems · Theorem · measure theory

MeasureTheory.Measure.ae_ae_eq_curry_of_prod

∀ {α : Type u_1} {β : Type u_2} [inst : MeasurableSpace α] [inst_1 : MeasurableSpace β] {μ : MeasureTheory.Measure α}
  {ν : MeasureTheory.Measure β} [MeasureTheory.SFinite ν] {γ : Type u_4} {f g : α × β → γ},
  f =ᵐ[μ.prod ν] g → ∀ᵐ (x : α) ∂μ, Function.curry f x =ᵐ[ν] Function.curry g x

Defined in

Mathlib.MeasureTheory.Measure.Prod

Cited by

2 results in Mathlib

Foundations

Depth 219 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

MeasurableSpaceMeasurableSpaceMeasureTheory.SFinite