Theorems · Theorem · dynamical systems
Function.bUnion_ptsOfPeriod
∀ {α : Type u_1} (f : α → α), ⋃ n, ⋃ (_ : n > 0), Function.ptsOfPeriod f n = Function.periodicPts f- Defined in
- Mathlib.Dynamics.PeriodicPts.Defs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 11 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.
- Setstatement · cited by 53,352
- Set.iUnionstatement and proof · cited by 2,483
- Set.extproof · cited by 2,266
- Set.iUnion_congr_Propproof · cited by 374
- Function.IsPeriodicPtproof · cited by 68
- Function.periodicPtsstatement · cited by 33
- Function.ptsOfPeriodstatement and proof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- Function.iUnion_pnat_ptsOfPeriodproof · cited by 1