Theorems · Theorem · measure theory
Measurable.prodMk
∀ {α : Type u_1} {m : MeasurableSpace α} {β : Type u_6} {γ : Type u_7} {x : MeasurableSpace β} {x_1 : MeasurableSpace γ}
{f : α → β} {g : α → γ}, Measurable f → Measurable g → Measurable fun a => (f a, g a)- Cited by
- 115 results in Mathlib
- Foundations
- Depth 71 from the axioms, rests on 750 definitions · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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.prodproof · cited by 9
Cited by115
Results whose statement or proof uses this declaration.
- measurable_prodMk_leftproof · cited by 69
- AEMeasurable.prodMkproof · cited by 54
- Measurable.mulproof · cited by 29
- measurableSet_leproof · cited by 28
- Measurable.addproof · cited by 25
- measurableSet_ltproof · cited by 19
- Measurable.prodMapproof · cited by 19
- measurable_prodMk_rightproof · cited by 17
- Measurable.subproof · cited by 14
- Measurable.divproof · cited by 9
- ProbabilityTheory.Kernel.measurable_kernel_prodMk_left'proof · cited by 8
- MeasureTheory.quasiMeasurePreserving_invproof · cited by 7