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Theorems · Theorem · measure theory

isPiSystem_image_Iic

∀ {α : Type u_1} [inst : LinearOrder α] (s : Set α), IsPiSystem (Set.Iic '' s)
Defined in
Mathlib.MeasureTheory.PiSystem
Cited by
3 results in Mathlib
Foundations
Depth 17 from the axioms · uses propext, Quot.sound
Assumes
LinearOrder
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

isPiSystem_Iic · cited by 3isPiSystem_IicisPiSystem_image_Ici · cited by 2isPiSystem_image_IciReal.isPiSystem_Iic_rat · cited by 1Real.isPiSystem_Iic_ratSet · cited by 53352SetLinearOrder · cited by 8572LinearOrderSet.image · cited by 5609Set.imageSet.Nonempty · cited by 2627Set.NonemptySet.Iic · cited by 1111Set.IicIsPiSystem · cited by 88IsPiSystemSet.Iic_inter_Iic · cited by 9Set.Iic_inter_Iicinf_ind · cited by 4inf_indisPiSystem_image_IicCITED BYCITES

Cites8

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by3

Results whose statement or proof uses this declaration.