Theorems · Theorem · measure theory
MeasureTheory.isSetSemiring_measurableCylinders
∀ {ι : Type u_1} {α : ι → Type u_2} {mα : (i : ι) → MeasurableSpace (α i)},
MeasureTheory.IsSetSemiring (MeasureTheory.measurableCylinders α)- Cited by
- 5 results in Mathlib
- Foundations
- Depth 75 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.IsSetSemiringstatement · cited by 78
- MeasureTheory.measurableCylindersstatement · cited by 48
- MeasureTheory.IsSetRing.isSetSemiringproof · cited by 6
- MeasureTheory.isSetRing_measurableCylindersproof · cited by 6
Cited by7
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.infinitePiproof · cited by 48
- ProbabilityTheory.Kernel.trajFunproof · cited by 6
- MeasureTheory.Measure.isProjectiveLimit_infinitePiproof · cited by 3
- ProbabilityTheory.Kernel.isProjectiveLimit_trajFunproof · cited by 2
- ProbabilityTheory.Kernel.isProbabilityMeasure_trajFunproof · cited by 1
- MeasureTheory.projectiveFamilyContent_monoproof · cited by 0
- ProbabilityTheory.Kernel.measurable_trajFunproof · cited by 0