Theorems · Theorem · functional analysis

MeasureTheory.Lp.edist_toLp_toLp

∀ {α : Type u_1} {E : Type u_4} {m : MeasurableSpace α} {p : ENNReal} {μ : MeasureTheory.Measure α}
  [inst : NormedAddCommGroup E] (f g : α → E) (hf : MeasureTheory.MemLp f p μ) (hg : MeasureTheory.MemLp g p μ),
  edist (MeasureTheory.MemLp.toLp f hf) (MeasureTheory.MemLp.toLp g hg) = MeasureTheory.eLpNorm (f - g) p μ

Defined in

Mathlib.MeasureTheory.Function.LpSpace.Basic

Cited by

4 results in Mathlib

Foundations

Depth 224 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedAddCommGroup