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Theorems · Theorem · dynamical systems

PreErgodic.of_iterate

∀ {α : Type u_1} {m : MeasurableSpace α} {f : α → α} {μ : MeasureTheory.Measure α} (n : ℕ),
  PreErgodic f^[n] μ → PreErgodic f μ
Defined in
Mathlib.Dynamics.Ergodic.Ergodic
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Foundations
Depth 172 from the axioms · uses propext, Classical.choice, Quot.sound
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Set · cited by 53352SetMeasurableSpace · cited by 13106MeasurableSpaceMeasureTheory.Measure · cited by 10939MeasureTheory.MeasureSet.preimage · cited by 4946Set.preimageMeasurableSet · cited by 3075MeasurableSetNat.iterate · cited by 740Nat.iteratePreErgodic · cited by 19PreErgodicPreErgodic.aeconst_set · cited by 7PreErgodic.aeconst_setFunction.IsFixedPt.preimage_iterate · cited by 4IsFixedPt.preimage_iteratePreErgodic.of_iterateCITED BYCITES

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