Mathlib Map

Theorems · Theorem · measure theory

MeasurableSpace.disjoint_countablyGeneratedAtom

∀ {α : Type u_1} {mα : MeasurableSpace α} [inst : MeasurableSpace.CountablyGenerated α],
  Pairwise (Function.onFun Disjoint (MeasurableSpace.countablyGeneratedAtom α))
Defined in
Mathlib.MeasureTheory.MeasurableSpace.CountablyGenerated
Cited by
2 results in Mathlib
Foundations
Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
MeasurableSpace.CountablyGenerated
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Around this declaration

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

MeasurableSpace.measurableAtom_eq_countablyGeneratedAtom_natGeneratingSequence · cited by 1MeasurableSpace.measurabl…MeasurableSpace.exists_eq_iUnion_countablyGeneratedAtom · cited by 1MeasurableSpace.exists_eq…Set · cited by 53352SetMeasurableSpace · cited by 13106MeasurableSpaceSet.ext · cited by 2266Set.extDisjoint · cited by 2201DisjointFunction.onFun · cited by 570Function.onFunPairwise · cited by 516PairwiseMeasurableSpace.CountablyGenerated · cited by 124MeasurableSpace.Countably…MeasurableSpace.countablyGeneratedAtom · cited by 7MeasurableSpace.countably…MeasurableSpace.disjoint_coun…CITED BYCITES

Cites8

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

Cited by2

Results whose statement or proof uses this declaration.