Mathlib Map

Theorems · Theorem · dynamical systems

Function.IsPeriodicPt.mod

∀ {α : Type u_1} {f : α → α} {x : α} {m n : ℕ},
  Function.IsPeriodicPt f m x → Function.IsPeriodicPt f n x → Function.IsPeriodicPt f (m % n) x
Defined in
Mathlib.Dynamics.PeriodicPts.Defs
Cited by
2 results in Mathlib
Foundations
Depth 25 from the axioms · uses propext, Quot.sound
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Function.IsPeriodicPt.minimalPeriod_dvd · cited by 4IsPeriodicPt.minimalPerio…Function.IsPeriodicPt.gcd · cited by 0IsPeriodicPt.gcdFunction.IsPeriodicPt · cited by 68Function.IsPeriodicPtFunction.IsPeriodicPt.iterate_mod_apply · cited by 2IsPeriodicPt.iterate_mod_…IsPeriodicPt.modCITED BYCITES

Cites2

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.