Theorems · Theorem · measure theory

MeasureTheory.Lp.simpleFunc.coe_indicatorConst

∀ {α : Type u_1} {E : Type u_4} [inst : MeasurableSpace α] [inst_1 : NormedAddCommGroup E] {p : ENNReal}
  {μ : MeasureTheory.Measure α} {s : Set α} (hs : MeasurableSet s) (hμs : μ s ≠ ⊤) (c : E),
  ↑(MeasureTheory.Lp.simpleFunc.indicatorConst p hs hμs c) = MeasureTheory.indicatorConstLp p hs hμs c

Defined in

Mathlib.MeasureTheory.Function.SimpleFuncDenseLp

Cited by

6 results in Mathlib

Foundations

Depth 225 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

MeasurableSpaceNormedAddCommGroup