Theorems · Theorem · measure theory

MeasureTheory.Lp.indicatorConstLp_compMeasurePreserving

∀ {α : Type u_1} {E : Type u_2} {m : MeasurableSpace α} {p : ENNReal} {μ : MeasureTheory.Measure α}
  [inst : NormedAddCommGroup E] {β : Type u_3} [inst_1 : MeasurableSpace β] {μb : MeasureTheory.Measure β} {f : α → β}
  {s : Set β} (hs : MeasurableSet s) (hμs : μb s ≠ ⊤) (c : E) (hf : MeasureTheory.MeasurePreserving f μ μb),
  (MeasureTheory.Lp.compMeasurePreserving f hf) (MeasureTheory.indicatorConstLp p hs hμs c) =
    MeasureTheory.indicatorConstLp p ⋯ ⋯ c

Defined in

Mathlib.MeasureTheory.Function.LpSpace.Indicator

Cited by

0 results in Mathlib

Foundations

Depth 226 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedAddCommGroupMeasurableSpace