Theorems · Theorem · measure theory

MeasureTheory.projectiveFamilyContent_ne_top

∀ {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)} {s : Set ((i : ι) → α i)}
  [∀ (J : Finset ι), MeasureTheory.IsFiniteMeasure (P J)] (hP : MeasureTheory.IsProjectiveMeasureFamily P),
  (MeasureTheory.projectiveFamilyContent hP) 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

Assumes

MeasureTheory.IsFiniteMeasure