Theorems · Theorem · measure theory
Measurable.prod
∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} {m : MeasurableSpace α} {mβ : MeasurableSpace β} {mγ : MeasurableSpace γ}
{f : α → β × γ}, (Measurable fun a => (f a).1) → (Measurable fun a => (f a).2) → Measurable f- Cited by
- 9 results in Mathlib
- Foundations
- Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- Measurablestatement and proof · cited by 1,499
- sup_leproof · cited by 159
- MeasurableSpace.comap_le_iff_le_mapproof · cited by 10
- Measurable.of_le_mapproof · cited by 6
- MeasurableSpace.map_compproof · cited by 3
Cited by9
Results whose statement or proof uses this declaration.
- Measurable.prodMkproof · cited by 115
- measurable_swapproof · cited by 42
- ProbabilityTheory.Kernel.iIndepFun.indepFun_prodMkproof · cited by 7
- ProbabilityTheory.eq_condKernel_of_measure_eq_compProdproof · cited by 3
- ProbabilityTheory.condDistrib_ae_eq_of_measure_eq_compProd_of_measurableproof · cited by 2
- ProbabilityTheory.Kernel.fst_map_prodproof · cited by 1
- ProbabilityTheory.Kernel.snd_map_prodproof · cited by 1
- MeasureTheory.Measure.compProd_idproof · cited by 1
- measurable_fun_prodproof · cited by 0