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Theorems · Theorem · measure theory

measurable_abs

∀ {α : Type u_1} [inst : Lattice α] [inst_1 : AddGroup α] [inst_2 : MeasurableSpace α] [MeasurableNeg α]
  [MeasurableSup₂ α], Measurable abs
Defined in
Mathlib.MeasureTheory.Order.Group.Lattice
Cited by
2 results in Mathlib
Foundations
Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
LatticeAddGroupMeasurableSpaceMeasurableNegMeasurableSup₂
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Around this declaration

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

AEMeasurable.abs · cited by 0AEMeasurable.absMeasurable.abs · cited by 0Measurable.absMeasurableSpace · cited by 13106MeasurableSpaceAddGroup · cited by 4410AddGroupabs · cited by 1814absMeasurable · cited by 1499MeasurableLattice · cited by 916Latticemeasurable_id' · cited by 145measurable_id'MeasurableNeg · cited by 130MeasurableNegMeasurableNeg.measurable_neg · cited by 20MeasurableNeg.measurable_…MeasurableSup₂ · cited by 16MeasurableSup₂Measurable.sup · cited by 6Measurable.supmeasurable_absCITED BYCITES

Cites10

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Cited by2

Results whose statement or proof uses this declaration.