Theorems · Theorem · Lie groups
MeasureTheory.MeasurePreserving.mul_left
∀ {G : Type u_1} [inst : MeasurableSpace G] [inst_1 : Mul G] [MeasurableMul G] (μ : MeasureTheory.Measure G)
[μ.IsMulLeftInvariant] (g : G) {X : Type u_3} [inst_4 : MeasurableSpace X] {μ' : MeasureTheory.Measure X} {f : X → G},
MeasureTheory.MeasurePreserving f μ' μ → MeasureTheory.MeasurePreserving (fun x => g * f x) μ' μ- Defined in
- Mathlib.MeasureTheory.Group.Measure
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 202 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites7
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
- MeasureTheory.MeasurePreservingstatement and proof · cited by 259
- MeasureTheory.Measure.IsMulLeftInvariantstatement and proof · cited by 118
- MeasurableMulstatement and proof · cited by 71
- MeasureTheory.MeasurePreserving.compproof · cited by 40
- MeasureTheory.measurePreserving_mul_leftproof · cited by 4
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