Theorems · Theorem · measure theory

MeasureTheory.Lp.constL_apply

∀ {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] (𝕜 : Type u_3) [inst_2 : NormedRing 𝕜]
  [inst_3 : Module 𝕜 E] [inst_4 : IsBoundedSMul 𝕜 E] [inst_5 : Fact (1 ≤ p)] (a : E),
  (MeasureTheory.Lp.constL p μ 𝕜) a = (MeasureTheory.Lp.const p μ) a

Defined in

Mathlib.MeasureTheory.Function.LpSpace.Indicator

Cited by

0 results in Mathlib

Foundations

Depth 233 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedAddCommGroupMeasureTheory.IsFiniteMeasureNormedRingModuleIsBoundedSMulFact