Theorems · Theorem · functional analysis

MeasureTheory.Lp.ext

∀ {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)}, ↑↑f =ᵐ[μ] ↑↑g → f = g

Defined in

Mathlib.MeasureTheory.Function.LpSpace.Basic

Cited by

27 results in Mathlib

Foundations

Depth 221 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedAddCommGroup