Theorems · Theorem · dynamical systems
Function.mem_periodicPts
∀ {α : Type u_1} {f : α → α} {x : α}, x ∈ Function.periodicPts f ↔ ∃ n > 0, Function.IsPeriodicPt f n x- Defined in
- Mathlib.Dynamics.PeriodicPts.Defs
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 9 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
- Function.IsPeriodicPtstatement · cited by 68
- Function.periodicPtsstatement · cited by 33
Cited by2
Results whose statement or proof uses this declaration.
- isOfFinAddOrder_iff_nsmul_eq_zeroproof · cited by 27
- Function.periodicPts_subset_rangeproof · cited by 1