Theorems · Theorem · measure theory
MeasureTheory.quasiMeasurePreserving_sub_left_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] (g : G),
MeasureTheory.Measure.QuasiMeasurePreserving (fun h => g - h) μ μ- Defined in
- Mathlib.MeasureTheory.Group.Prod
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 229 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
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
- MeasurableAdd₂statement and proof · cited by 155
- MeasurableNegstatement and proof · cited by 130
- MeasureTheory.Measure.QuasiMeasurePreservingstatement and proof · cited by 101
- MeasureTheory.Measure.IsAddRightInvariantstatement and proof · cited by 59
- MeasureTheory.Measure.negproof · cited by 15
- MeasureTheory.Measure.QuasiMeasurePreserving.monoproof · cited by 9
- MeasureTheory.absolutelyContinuous_negproof · cited by 5
- MeasureTheory.neg_absolutelyContinuousproof · cited by 4
Cited by7
Results whose statement or proof uses this declaration.
- MeasureTheory.AEStronglyMeasurable.convolution_integrand_sndproof · cited by 1
- BddAbove.convolutionExistsAtproof · cited by 1
- MeasureTheory.ConvolutionExistsAt.of_normproof · cited by 1
- MeasureTheory.convolution_assoc'proof · cited by 1
- MeasureTheory.convolution_assocproof · cited by 0
- MeasureTheory.convolution_congrproof · cited by 0
- MeasureTheory.AEStronglyMeasurable.convolution_integrand_swap_sndproof · cited by 0