Theorems · Theorem · measure theory

MeasureTheory.condExpIndL1.congr_simp

∀ {α : Type u_1} {G : Type u_4} [inst : NormedAddCommGroup G] [inst_1 : NormedSpace ℝ G] {m m0 : MeasurableSpace α}
  (hm : m ≤ m0) (μ : MeasureTheory.Measure α) (s s_1 : Set α),
  s = s_1 →
    ∀ [inst_2 : MeasureTheory.SigmaFinite (μ.trim hm)] (x x_1 : G),
      x = x_1 → MeasureTheory.condExpIndL1 hm μ s x = MeasureTheory.condExpIndL1 hm μ s_1 x_1

Defined in

Mathlib.MeasureTheory.Function.ConditionalExpectation.CondexpL1

Cited by

0 results in Mathlib

Foundations

Depth 278 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedAddCommGroupNormedSpaceMeasureTheory.SigmaFinite