Mathlib Map

Theorems · Theorem · measure theory

AEMeasurable.posPart

∀ {α : Type u_1} {β : Type u_2} [inst : Lattice α] [inst_1 : AddGroup α] [inst_2 : MeasurableSpace α]
  [inst_3 : MeasurableSpace β] {f : β → α} {μ : MeasureTheory.Measure β} [MeasurableSup α],
  AEMeasurable f μ → AEMeasurable (fun x => (f x)⁺) μ
Defined in
Mathlib.MeasureTheory.Order.Group.Lattice
Cited by
0 results in Mathlib
Foundations
Depth 176 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
LatticeAddGroupMeasurableSpaceMeasurableSpaceMeasurableSup
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

MeasurableSpace · cited by 13106MeasurableSpaceMeasureTheory.Measure · cited by 10939MeasureTheory.MeasureAddGroup · cited by 4410AddGroupLattice · cited by 916LatticeAEMeasurable · cited by 840AEMeasurablePosPart.posPart · cited by 113PosPart.posPartMeasurableSup · cited by 18MeasurableSupAEMeasurable.sup_const · cited by 4AEMeasurable.sup_constAEMeasurable.posPartCITED BYCITES

Cites8

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by0

Results whose statement or proof uses this declaration.

Nothing cites this yet.