Theorems · Theorem · dynamical systems
Function.minimalPeriod_apply
∀ {α : Type u_1} {f : α → α} {x : α},
x ∈ Function.periodicPts f → Function.minimalPeriod f (f x) = Function.minimalPeriod f x- Defined in
- Mathlib.Dynamics.PeriodicPts.Defs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- Setstatement · cited by 53,352
- Function.minimalPeriodstatement · cited by 100
- Function.periodicPtsstatement and proof · cited by 33
- Function.minimalPeriod_apply_iterateproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Function.periodicOrbit_chain'proof · cited by 0