Theorems · Theorem · dynamical systems
Function.IsPeriodicPt.iterate
∀ {α : Type u_1} {f : α → α} {x : α} {n : ℕ}, Function.IsPeriodicPt f n x → ∀ (m : ℕ), Function.IsPeriodicPt f^[m] n x- Defined in
- Mathlib.Dynamics.PeriodicPts.Defs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- mul_commproof · cited by 2,262
- Nat.iteratestatement and proof · cited by 740
- Function.IsFixedPtproof · cited by 84
- Function.IsPeriodicPtstatement and proof · cited by 68
- Function.IsFixedPt.iterateproof · cited by 9
- Function.iterate_mulproof · cited by 7
- Function.IsPeriodicPt.isFixedPtproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Function.isPeriodicPt_of_mem_periodicPts_of_isPeriodicPt_iterateproof · cited by 2