Theorems · Theorem · measure theory
MeasureTheory.cylinder_mem_measurableCylinders
∀ {ι : Type u_1} {α : ι → Type u_2} [inst : (i : ι) → MeasurableSpace (α i)] (s : Finset ι) (S : Set ((i : ↥s) → α ↑i)),
MeasurableSet S → MeasureTheory.cylinder s S ∈ MeasureTheory.measurableCylinders α- Cited by
- 3 results in Mathlib
- Foundations
- Depth 71 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.
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
- Finsetstatement and proof · cited by 13,712
- MeasurableSpacestatement and proof · cited by 13,106
- MeasurableSetstatement and proof · cited by 3,075
- MeasureTheory.cylinderstatement and proof · cited by 49
- MeasureTheory.measurableCylindersstatement · cited by 48
- MeasureTheory.mem_measurableCylindersproof · cited by 13
Cited by3
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.isProjectiveLimit_infinitePiproof · cited by 3
- ProbabilityTheory.Kernel.isProjectiveLimit_trajFunproof · cited by 2
- ProbabilityTheory.Kernel.isProbabilityMeasure_trajFunproof · cited by 1