Theorems · Theorem · functional analysis

MeasureTheory.MemLp.toLp_congr

∀ {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),
  f =ᵐ[μ] g → MeasureTheory.MemLp.toLp f hf = MeasureTheory.MemLp.toLp g hg

Defined in

Mathlib.MeasureTheory.Function.LpSpace.Basic

Cited by

11 results in Mathlib

Foundations

Depth 222 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedAddCommGroup