Theorems · Theorem · measure theory

MeasureTheory.quasiMeasurePreserving_sub

∀ {G : Type u_1} [inst : MeasurableSpace G] [inst_1 : AddGroup G] [MeasurableAdd₂ G] (μ ν : MeasureTheory.Measure G)
  [MeasureTheory.SFinite ν] [MeasureTheory.SFinite μ] [MeasurableNeg G] [μ.IsAddLeftInvariant],
  MeasureTheory.Measure.QuasiMeasurePreserving (fun p => p.1 - p.2) (μ.prod ν) μ

Defined in: Mathlib.MeasureTheory.Group.Prod
Cited by: 0 results in Mathlib
Foundations: Depth 229 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: MeasurableSpace AddGroup MeasurableAdd₂ MeasureTheory.SFinite MeasureTheory.SFinite MeasurableNeg MeasureTheory.Measure.IsAddLeftInvariant

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

MeasurableSpacestatement and proof · cited by 13,106
MeasureTheory.Measurestatement and proof · cited by 10,939
AddGroupstatement and proof · cited by 4,410
MeasureTheory.SFinitestatement and proof · cited by 449
MeasureTheory.Measure.prodstatement · cited by 353
MeasurableAdd₂statement and proof · cited by 155
MeasureTheory.Measure.IsAddLeftInvariantstatement and proof · cited by 148
MeasurableNegstatement and proof · cited by 130
MeasureTheory.Measure.QuasiMeasurePreservingstatement · cited by 101
MeasureTheory.Measure.AbsolutelyContinuous.rflproof · cited by 30
MeasureTheory.Measure.negproof · cited by 15
MeasureTheory.Measure.QuasiMeasurePreserving.monoproof · cited by 9

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