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Theorems · Theorem · measure theory

MeasurableSpace.DynkinSystem.has_empty

∀ {α : Type u_4} (self : MeasurableSpace.DynkinSystem α), self.Has ∅

A Dynkin system contains the empty set.

Defined in
Mathlib.MeasureTheory.PiSystem
Cited by
3 results in Mathlib
Foundations
Depth 3 from the axioms · uses no axioms
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Around this declaration

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

MeasurableSpace.DynkinSystem.generate_le · cited by 3DynkinSystem.generate_leMeasurableSpace.DynkinSystem.toMeasurableSpace · cited by 2DynkinSystem.toMeasurable…MeasurableSpace.DynkinSystem.has_iUnion · cited by 2DynkinSystem.has_iUnionMeasurableSpace.DynkinSystem.has_univ · cited by 0DynkinSystem.has_univSet · cited by 53352SetMeasurableSpace.DynkinSystem · cited by 19MeasurableSpace.DynkinSys…MeasurableSpace.DynkinSystem.Has · cited by 17DynkinSystem.HasDynkinSystem.has_emptyCITED BYCITES

Cites3

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Cited by4

Results whose statement or proof uses this declaration.