Mathlib Map

Theorems · Theorem · measure theory

AEMeasurable.fun_add

∀ {M : Type u_2} {α : Type u_3} [inst : MeasurableSpace M] [inst_1 : Add M] {m : MeasurableSpace α} {f g : α → M}
  {μ : MeasureTheory.Measure α} [MeasurableAdd₂ M],
  AEMeasurable f μ → AEMeasurable g μ → AEMeasurable (fun i => f i + g i) μ
Defined in
Mathlib.MeasureTheory.Group.Arithmetic
Cited by
5 results in Mathlib
Foundations
Depth 176 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
MeasurableSpaceAddMeasurableAdd₂
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

MeasureTheory.integral_conv · cited by 3MeasureTheory.integral_co…MeasureTheory.Measure.lintegral_conv · cited by 2Measure.lintegral_convMeasureTheory.conv_withDensity_eq_mlconvolution₀ · cited by 1MeasureTheory.conv_withDe…MeasureTheory.integrable_conv_iff · cited by 1MeasureTheory.integrable_…aemeasurable_of_re_im · cited by 0aemeasurable_of_re_imMeasurableSpace · cited by 13106MeasurableSpaceMeasureTheory.Measure · cited by 10939MeasureTheory.MeasureAEMeasurable · cited by 840AEMeasurableMeasurableAdd₂ · cited by 155MeasurableAdd₂AEMeasurable.add · cited by 8AEMeasurable.addAEMeasurable.fun_addCITED BYCITES

Cites5

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

Cited by5

Results whose statement or proof uses this declaration.