Theorems · Theorem · measure theory
MeasureTheory.smulInvariantMeasure_iterateMulAct
∀ {α : Type w} {f : α → α} {x : MeasurableSpace α} {μ : MeasureTheory.Measure α},
Measurable f → (MeasureTheory.SMulInvariantMeasure (IterateMulAct f) α μ ↔ MeasureTheory.MeasurePreserving f μ μ)- Defined in
- Mathlib.MeasureTheory.Group.Action
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 205 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
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
- Measurablestatement and proof · cited by 1,499
- MeasureTheory.MeasurePreservingstatement · cited by 259
- MeasureTheory.SMulInvariantMeasurestatement and proof · cited by 115
- MeasureTheory.measurePreserving_smulproof · cited by 17
- IterateMulActstatement and proof · cited by 12
- MeasurableSMul₂proof · cited by 10
- Measurable.measurableSMul₂_iterateMulActproof · cited by 3
- MeasureTheory.MeasurePreserving.smulInvariantMeasure_iterateMulActproof · cited by 1
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