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Theorems · Definition · dynamical systems

Function.ptsOfPeriod

{α : Type u_1} → (α → α) → ℕ → Set α

The set of periodic points of a given (possibly non-minimal) period.

Defined in
Mathlib.Dynamics.PeriodicPts.Defs
Cited by
6 results in Mathlib
Foundations
Depth 8 from the axioms · uses no axioms
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Function.bUnion_ptsOfPeriod · cited by 1Function.bUnion_ptsOfPeri…Function.bijOn_ptsOfPeriod · cited by 1Function.bijOn_ptsOfPeriodFunction.Semiconj.mapsTo_ptsOfPeriod · cited by 1Semiconj.mapsTo_ptsOfPeri…Function.iUnion_pnat_ptsOfPeriod · cited by 1Function.iUnion_pnat_ptsO…Function.directed_ptsOfPeriod_pnat · cited by 1Function.directed_ptsOfPe…Function.mem_ptsOfPeriod · cited by 0Function.mem_ptsOfPeriodSet · cited by 53352SetSet.ofPred · cited by 6101Set.ofPredFunction.IsPeriodicPt · cited by 68Function.IsPeriodicPtFunction.ptsOfPeriodCITED BYCITES

Cites3

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by6

Results whose statement or proof uses this declaration.