Theorems · Theorem · measure theory
MeasureTheory.isPiSystem_squareCylinders
∀ {ι : Type u_2} {α : ι → Type u_1} {C : (i : ι) → Set (Set (α i))},
(∀ (i : ι), IsPiSystem (C i)) → (∀ (i : ι), Set.univ ∈ C i) → IsPiSystem (MeasureTheory.squareCylinders C)- Cited by
- 3 results in Mathlib
- Foundations
- Depth 56 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
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
- Finsetproof · cited by 13,712
- SetLike.coeproof · cited by 8,199
- Set.univstatement and proof · cited by 3,945
- Set.Nonemptyproof · cited by 2,627
- Set.mem_univproof · cited by 416
- Set.piproof · cited by 405
- IsPiSystemstatement and proof · cited by 88
- Finset.coe_unionproof · cited by 78
- Finset.piecewiseproof · cited by 64
- Set.mem_inter_iffproof · cited by 50
- Set.mem_univ_piproof · cited by 17
Cited by3
Results whose statement or proof uses this declaration.
- ProbabilityTheory.Kernel.IndepFun.process_indepFunproof · cited by 4
- MeasureTheory.MeasurableSet.eq_preimage_restrict_countableproof · cited by 2
- ProbabilityTheory.Kernel.iIndepFun.iIndepFun_processproof · cited by 2