Theorems · Theorem · measure theory

MeasureTheory.projectiveFamilyContent_congr

∀ {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) (s : Set ((i : ι) → α i)),
  s = MeasureTheory.cylinder I S → MeasurableSet S → (MeasureTheory.projectiveFamilyContent hP) s = (P I) S

Defined in

Mathlib.MeasureTheory.Constructions.ProjectiveFamilyContent

Cited by

3 results in Mathlib

Foundations

Depth 206 from the axioms · uses propext, Classical.choice, Quot.sound