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Theorems · Theorem · measure theory

MeasureTheory.quasiMeasurePreserving_neg_of_right_invariant

∀ {G : Type u_1} [inst : MeasurableSpace G] [inst_1 : AddGroup G] [MeasurableAdd₂ G] (μ : MeasureTheory.Measure G)
  [MeasureTheory.SFinite μ] [MeasurableNeg G] [μ.IsAddRightInvariant],
  MeasureTheory.Measure.QuasiMeasurePreserving Neg.neg μ μ
Defined in
Mathlib.MeasureTheory.Group.Prod
Cited by
1 results in Mathlib
Foundations
Depth 229 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
MeasurableSpaceAddGroupMeasurableAdd₂MeasureTheory.SFiniteMeasurableNegMeasureTheory.Measure.IsAddRightInvariant
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Around this declaration

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

MeasureTheory.quasiMeasurePreserving_add_left · cited by 1MeasureTheory.quasiMeasur…MeasurableSpace · cited by 13106MeasurableSpaceMeasureTheory.Measure · cited by 10939MeasureTheory.MeasureAddGroup · cited by 4410AddGroupMeasureTheory.SFinite · cited by 449MeasureTheory.SFiniteMeasurableAdd₂ · cited by 155MeasurableAdd₂MeasurableNeg · cited by 130MeasurableNegMeasureTheory.Measure.QuasiMeasurePreserving · cited by 101Measure.QuasiMeasurePrese…MeasureTheory.Measure.IsAddRightInvariant · cited by 59Measure.IsAddRightInvaria…MeasureTheory.Measure.neg · cited by 15Measure.negMeasureTheory.Measure.QuasiMeasurePreserving.mono · cited by 9QuasiMeasurePreserving.mo…MeasureTheory.quasiMeasurePreserving_neg · cited by 7MeasureTheory.quasiMeasur…MeasureTheory.absolutelyContinuous_neg · cited by 5MeasureTheory.absolutelyC…MeasureTheory.neg_absolutelyContinuous · cited by 4MeasureTheory.neg_absolut…MeasureTheory.Measure.neg_neg · cited by 3Measure.neg_negMeasureTheory.quasiMeasurePre…CITED BYCITES

Cites14

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Cited by1

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