Theorems · Theorem · measure theory

MeasureTheory.MemLp.toLp_const

∀ {α : Type u_1} {E : Type u_2} {m : MeasurableSpace α} (p : ENNReal) (μ : MeasureTheory.Measure α)
  [inst : NormedAddCommGroup E] [inst_1 : MeasureTheory.IsFiniteMeasure μ] (c : E),
  MeasureTheory.MemLp.toLp (fun x => c) ⋯ = (MeasureTheory.Lp.const p μ) c

Defined in

Mathlib.MeasureTheory.Function.LpSpace.Indicator

Cited by

3 results in Mathlib

Foundations

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

Assumes

NormedAddCommGroupMeasureTheory.IsFiniteMeasure