Theorems · Theorem · measure theory

AEMeasurable.sup_const

∀ {M : Type u_1} [inst : MeasurableSpace M] {α : Type u_2} {m : MeasurableSpace α} {μ : MeasureTheory.Measure α}
  {f : α → M} [inst_1 : Max M] [MeasurableSup M], AEMeasurable f μ → ∀ (c : M), AEMeasurable (fun x => f x ⊔ c) μ

Defined in

Mathlib.MeasureTheory.Order.Lattice

Cited by

4 results in Mathlib

Foundations

Depth 175 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

MeasurableSpaceMaxMeasurableSup