Theorems · Theorem · measure theory
isPiSystem_Iic
∀ {α : Type u_1} [inst : LinearOrder α], IsPiSystem (Set.range Set.Iic)- Defined in
- Mathlib.MeasureTheory.PiSystem
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- LinearOrder
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- LinearOrderstatement and proof · cited by 8,572
- Set.rangestatement · cited by 4,705
- Set.univproof · cited by 3,945
- Set.Iicstatement · cited by 1,111
- Set.image_univproof · cited by 322
- IsPiSystemstatement · cited by 88
- isPiSystem_image_Iicproof · cited by 3
Cited by3
Results whose statement or proof uses this declaration.
- StieltjesFunction.measurable_measureproof · cited by 1
- ProbabilityTheory.setLIntegral_toKernel_prodproof · cited by 1
- ProbabilityTheory.measurable_measure_condCDFproof · cited by 0