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Theorems · Theorem · dynamical systems

Function.IsPeriodicPt.isFixedPt

∀ {α : Type u_1} {f : α → α} {x : α} {n : ℕ}, Function.IsPeriodicPt f n x → Function.IsFixedPt f^[n] x
Defined in
Mathlib.Dynamics.PeriodicPts.Defs
Cited by
3 results in Mathlib
Foundations
Depth 8 from the axioms · uses no axioms
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Function.IsPeriodicPt.mul_const · cited by 6IsPeriodicPt.mul_constFunction.minimalPeriod_eq_one_iff_isFixedPt · cited by 5Function.minimalPeriod_eq…Function.IsPeriodicPt.iterate · cited by 1IsPeriodicPt.iterateNat.iterate · cited by 740Nat.iterateFunction.IsFixedPt · cited by 84Function.IsFixedPtFunction.IsPeriodicPt · cited by 68Function.IsPeriodicPtIsPeriodicPt.isFixedPtCITED BYCITES

Cites3

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Cited by3

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