Theorems · Theorem · measure theory

MeasureTheory.projectiveFamilyContent_cylinder

∀ {ι : Type u_1} {α : ι → Type u_2} {mα : (i : ι) → MeasurableSpace (α i)}
  {P : (J : Finset ι) → MeasureTheory.Measure ((j : ↥J) → α ↑j)} {I : Finset ι} {S : Set ((i : ↥I) → α ↑i)}
  (hP : MeasureTheory.IsProjectiveMeasureFamily P),
  MeasurableSet S → (MeasureTheory.projectiveFamilyContent hP) (MeasureTheory.cylinder I S) = (P I) S

Defined in

Mathlib.MeasureTheory.Constructions.ProjectiveFamilyContent

Cited by

2 results in Mathlib

Foundations

Depth 207 from the axioms · uses propext, Classical.choice, Quot.sound