Theorems · Theorem · functional analysis

MeasureTheory.MemLp.ae_eq

∀ {α : Type u_1} {ε : Type u_2} {m0 : MeasurableSpace α} {p : ENNReal} {μ : MeasureTheory.Measure α} [inst : ENorm ε]
  [inst_1 : TopologicalSpace ε] {f g : α → ε}, f =ᵐ[μ] g → MeasureTheory.MemLp f p μ → MeasureTheory.MemLp g p μ

Defined in

Mathlib.MeasureTheory.Function.LpSeminorm.Basic

Cited by

9 results in Mathlib

Foundations

Depth 210 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

ENormTopologicalSpace