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Theorems · Theorem · dynamical systems

Function.iterate_minimalPeriod

∀ {α : Type u_1} {f : α → α} {x : α}, f^[Function.minimalPeriod f x] x = x
Defined in
Mathlib.Dynamics.PeriodicPts.Defs
Cited by
3 results in Mathlib
Foundations
Depth 20 from the axioms · uses propext, Classical.choice, Quot.sound
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MulAction.pow_period_smul · cited by 2MulAction.pow_period_smulAddAction.nsmul_period_vadd · cited by 2AddAction.nsmul_period_va…Function.periodicOrbit_chain · cited by 1Function.periodicOrbit_ch…Nat.iterate · cited by 740Nat.iterateFunction.minimalPeriod · cited by 100Function.minimalPeriodFunction.isPeriodicPt_minimalPeriod · cited by 11Function.isPeriodicPt_min…Function.iterate_minimalPeriodCITED BYCITES

Cites3

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Cited by3

Results whose statement or proof uses this declaration.