Theorems · Theorem · measure theory
Measurable.prodMap
∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} {δ : Type u_4} {m : MeasurableSpace α} {mβ : MeasurableSpace β}
{mγ : MeasurableSpace γ} [inst : MeasurableSpace δ] {f : α → β} {g : γ → δ},
Measurable f → Measurable g → Measurable (Prod.map f g)- Cited by
- 19 results in Mathlib
- Foundations
- Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MeasurableSpace
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
- Measurable.compproof · cited by 234
- Measurable.prodMkproof · cited by 115
- measurable_sndproof · cited by 94
- measurable_fstproof · cited by 79
Cited by19
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.map_prod_mapproof · cited by 7
- MeasureTheory.Measure.compProd_mapproof · cited by 4
- ProbabilityTheory.Kernel.map_prod_mapproof · cited by 4
- ProbabilityTheory.eq_condKernel_of_measure_eq_compProdproof · cited by 3
- MeasureTheory.Measure.map_conv_addMonoidHomproof · cited by 3
- ProbabilityTheory.Kernel.partialTraj_eq_prodproof · cited by 3
- ProbabilityTheory.HasCondDistrib.comp_leftproof · cited by 2
- MeasureTheory.partialTraj_const_restrict₂proof · cited by 1
- ProbabilityTheory.HasCondDistrib.comp_rightproof · cited by 1
- ProbabilityTheory.condIndepFun_iff_map_prod_eq_prod_comp_trimproof · cited by 1
- ProbabilityTheory.Kernel.traj_eq_prodproof · cited by 1