Theorems · Theorem · measure theory

MeasureTheory.condExp_const

∀ {α : Type u_1} {E : Type u_3} {m m₀ : MeasurableSpace α} {μ : MeasureTheory.Measure α} [inst : NormedAddCommGroup E]
  [inst_1 : NormedSpace ℝ E], m ≤ m₀ → ∀ (c : E) [MeasureTheory.IsFiniteMeasure μ], μ[fun x => c | m] = fun x => c

Defined in

Mathlib.MeasureTheory.Function.ConditionalExpectation.Basic

Cited by

5 results in Mathlib

Foundations

Depth 297 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedAddCommGroupNormedSpaceMeasureTheory.IsFiniteMeasure