Theorems · Theorem · dynamical systems
Function.IsPeriodicPt.left_of_add
∀ {α : Type u_1} {f : α → α} {x : α} {m n : ℕ},
Function.IsPeriodicPt f (n + m) x → Function.IsPeriodicPt f m x → Function.IsPeriodicPt f n x- Defined in
- Mathlib.Dynamics.PeriodicPts.Defs
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Function.IsFixedPtproof · cited by 84
- Function.IsPeriodicPtstatement and proof · cited by 68
- Function.iterate_addproof · cited by 11
- Function.IsFixedPt.left_of_compproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- Function.IsPeriodicPt.right_of_addproof · cited by 0
- Function.IsPeriodicPt.subproof · cited by 0