Theorems · Theorem · measure theory
MeasurableSet.cylinder
∀ {ι : Type u_2} {α : ι → Type u_1} [inst : (i : ι) → MeasurableSpace (α i)] (s : Finset ι) {S : Set ((i : ↥s) → α ↑i)},
MeasurableSet S → MeasurableSet (MeasureTheory.cylinder s S)- Cited by
- 4 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
- measurable_pi_applyproof · cited by 77
- MeasureTheory.cylinderstatement · cited by 49
- measurable_pi_lambdaproof · cited by 27
Cited by4
Results whose statement or proof uses this declaration.
- MeasureTheory.generateFrom_measurableCylindersproof · cited by 5
- ProbabilityTheory.Kernel.trajContent_tendsto_zeroproof · cited by 1
- MeasurableSet.of_mem_measurableCylindersproof · cited by 1
- MeasureTheory.Measure.infinitePiNat_map_piCongrLeftproof · cited by 1