Theorems · Definition · dynamical systems
Function.periodicPts
{α : Type u_1} → (α → α) → Set αThe set of periodic points of a map f : α → α.
- Defined in
- Mathlib.Dynamics.PeriodicPts.Defs
- Cited by
- 33 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Set.ofPredproof · cited by 6,101
- Function.IsPeriodicPtproof · cited by 68
Cited by36
Results whose statement or proof uses this declaration.
- IsOfFinOrderproof · cited by 113
- IsOfFinAddOrderproof · cited by 105
- Function.minimalPeriodproof · cited by 100
- Function.isPeriodicPt_minimalPeriodproof · cited by 11
- Function.minimalPeriod_pos_of_mem_periodicPtsstatement and proof · cited by 9
- orderOf_eq_iffproof · cited by 4
- Function.minimalPeriod_pos_iff_mem_periodicPtsstatement and proof · cited by 4
- Function.mk_mem_periodicPtsstatement · cited by 3
- Function.isPeriodicPt_of_mem_periodicPts_of_isPeriodicPt_iteratestatement and proof · cited by 2
- Function.mem_periodicPtsstatement · cited by 2
- Function.minimalPeriod_apply_iteratestatement and proof · cited by 2
- Function.minimalPeriod_iterate_eq_div_gcd'statement and proof · cited by 2