Theorems · Theorem · functional analysis

MeasureTheory.eLpNormEssSup_mono_enorm_ae

∀ {α : Type u_1} {ε : Type u_2} {ε' : Type u_3} {m0 : MeasurableSpace α} {μ : MeasureTheory.Measure α} [inst : ENorm ε]
  [inst_1 : ENorm ε'] {f : α → ε} {g : α → ε'},
  (∀ᵐ (x : α) ∂μ, ‖f x‖ₑ ≤ ‖g x‖ₑ) → MeasureTheory.eLpNormEssSup f μ ≤ MeasureTheory.eLpNormEssSup g μ

Defined in

Mathlib.MeasureTheory.Function.LpSeminorm.Basic

Cited by

1 results in Mathlib

Foundations

Depth 173 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

ENormENorm