Theorems · Theorem · dynamical systems
Function.IsPeriodicPt.map
∀ {α : Type u_1} {β : Type u_2} {fa : α → α} {fb : β → β} {x : α} {n : ℕ},
Function.IsPeriodicPt fa n x → ∀ {g : α → β}, Function.Semiconj g fa fb → Function.IsPeriodicPt fb n (g x)- Defined in
- Mathlib.Dynamics.PeriodicPts.Defs
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses propext
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.Semiconjstatement and proof · cited by 82
- Function.IsPeriodicPtstatement and proof · cited by 68
- Function.Semiconj.iterate_rightproof · cited by 7
- Function.IsFixedPt.mapproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- Function.IsPeriodicPt.apply_iterateproof · cited by 4
- Function.Semiconj.mapsTo_periodicPtsproof · cited by 0