Theorems · Theorem · measure theory

MeasureTheory.eLpNormEssSup_indicator_const_eq

∀ {α : Type u_1} {m0 : MeasurableSpace α} {μ : MeasureTheory.Measure α} {ε : Type u_7} [inst : TopologicalSpace ε]
  [inst_1 : ESeminormedAddMonoid ε] (s : Set α) (c : ε),
  μ s ≠ 0 → MeasureTheory.eLpNormEssSup (s.indicator fun x => c) μ = ‖c‖ₑ

Defined in

Mathlib.MeasureTheory.Function.LpSeminorm.Indicator

Cited by

1 results in Mathlib

Foundations

Depth 205 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceESeminormedAddMonoid