Theorems · Theorem · measure theory
MeasurableSet.prod
∀ {α : Type u_1} {β : Type u_2} {m : MeasurableSpace α} {mβ : MeasurableSpace β} {s : Set α} {t : Set β},
MeasurableSet s → MeasurableSet t → MeasurableSet (s ×ˢ t)- Cited by
- 56 results in Mathlib
- Foundations
- Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- MeasurableSetstatement and proof · cited by 3,075
- SProd.sprodstatement · cited by 1,750
- MeasurableSet.interproof · cited by 167
- measurable_sndproof · cited by 94
- measurable_fstproof · cited by 79
Cited by56
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.prod_swapproof · cited by 14
- MeasureTheory.Measure.prod_restrictproof · cited by 12
- MeasureTheory.quasiMeasurePreserving_invproof · cited by 7
- MeasureTheory.quasiMeasurePreserving_negproof · cited by 7
- MeasureTheory.Measure.map_prod_mapproof · cited by 7
- MeasureTheory.Measure.MutuallySingular.compProd_of_leftproof · cited by 5
- MeasureTheory.Measure.IicSnd_applyproof · cited by 5
- ProbabilityTheory.Kernel.setIntegral_densityProcessproof · cited by 4
- MeasurableEmbedding.prodMapproof · cited by 4
- MeasureTheory.Measure.prod_prod_leproof · cited by 4
- ProbabilityTheory.Kernel.compProd_restrictstatement and proof · cited by 4
- ProbabilityTheory.setIntegral_compProdproof · cited by 4