Theorems · Theorem · measure theory

MeasureTheory.indicatorConstLp_sub

∀ {α : Type u_1} {E : Type u_2} {m : MeasurableSpace α} {p : ENNReal} {μ : MeasureTheory.Measure α}
  [inst : NormedAddCommGroup E] {s : Set α} {hs : MeasurableSet s} {hμs : μ s ≠ ⊤} {c c' : E},
  MeasureTheory.indicatorConstLp p hs hμs c - MeasureTheory.indicatorConstLp p hs hμs c' =
    MeasureTheory.indicatorConstLp p hs hμs (c - c')

A version of Set.indicator_sub for MeasureTheory.indicatorConstLp

Defined in

Mathlib.MeasureTheory.Function.LpSpace.Indicator

Cited by

0 results in Mathlib

Foundations

Depth 223 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedAddCommGroup