Theorems · Theorem · measure theory
AEMeasurable.snd
∀ {α : Type u_2} {β : Type u_3} {γ : Type u_4} {m0 : MeasurableSpace α} [inst : MeasurableSpace β]
[inst_1 : MeasurableSpace γ] {μ : MeasureTheory.Measure α} {f : α → β × γ},
AEMeasurable f μ → AEMeasurable (fun x => (f x).2) μ- Cited by
- 23 results in Mathlib
- Foundations
- Depth 175 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- AEMeasurablestatement and proof · cited by 840
- Measurable.comp_aemeasurableproof · cited by 99
- measurable_sndproof · cited by 94
Cited by23
Results whose statement or proof uses this declaration.
- ProbabilityTheory.HasCondDistrib.aemeasurable_sndproof · cited by 4
- MeasureTheory.MemLp.comp_sndproof · cited by 4
- ProbabilityTheory.indepFun_prodproof · cited by 3
- MeasureTheory.prod_withDensity₀proof · cited by 3
- MeasureTheory.integral_convproof · cited by 3
- MeasureTheory.Measure.lintegral_convproof · cited by 2
- MeasureTheory.Measure.lintegral_mconvproof · cited by 2
- ProbabilityTheory.Kernel.map_prod_swapproof · cited by 2
- MeasureTheory.prod_withDensity_right₀proof · cited by 2
- MeasureTheory.mconv_withDensity_eq_mlconvolution₀proof · cited by 1
- MeasureTheory.conv_withDensity_eq_mlconvolution₀proof · cited by 1
- MeasureTheory.integrable_conv_iffproof · cited by 1