Theorems · Theorem · functional analysis

MeasureTheory.Lp.edist_def

∀ {α : Type u_1} {E : Type u_4} {m : MeasurableSpace α} {p : ENNReal} {μ : MeasureTheory.Measure α}
  [inst : NormedAddCommGroup E] (f g : ↥(MeasureTheory.Lp E p μ)), edist f g = MeasureTheory.eLpNorm (↑↑f - ↑↑g) p μ

Defined in

Mathlib.MeasureTheory.Function.LpSpace.Basic

Cited by

3 results in Mathlib

Foundations

Depth 223 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedAddCommGroup