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Theorems · Theorem · dynamical systems

Function.IsPeriodicPt.eq_zero_of_lt_minimalPeriod

∀ {α : Type u_1} {f : α → α} {x : α} {n : ℕ}, Function.IsPeriodicPt f n x → n < Function.minimalPeriod f x → n = 0
Defined in
Mathlib.Dynamics.PeriodicPts.Defs
Cited by
2 results in Mathlib
Foundations
Depth 21 from the axioms · uses propext, Classical.choice, Quot.sound
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Function.IsPeriodicPt.minimalPeriod_dvd · cited by 4IsPeriodicPt.minimalPerio…Function.not_isPeriodicPt_of_pos_of_lt_minimalPeriod · cited by 2Function.not_isPeriodicPt…not_lt · cited by 306not_ltFunction.minimalPeriod · cited by 100Function.minimalPeriodeq_or_lt_of_le · cited by 92eq_or_lt_of_leFunction.IsPeriodicPt · cited by 68Function.IsPeriodicPtFunction.IsPeriodicPt.minimalPeriod_le · cited by 9IsPeriodicPt.minimalPerio…IsPeriodicPt.eq_zero_of_lt_mi…CITED BYCITES

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Cited by2

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