Theorems · Theorem · dynamical systems
Function.iUnion_pnat_ptsOfPeriod
∀ {α : Type u_1} (f : α → α), ⋃ n, Function.ptsOfPeriod f ↑n = Function.periodicPts f- Defined in
- Mathlib.Dynamics.PeriodicPts.Defs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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 · cited by 2,483
- PNatstatement · cited by 392
- PNat.valstatement · cited by 226
- Function.periodicPtsstatement · cited by 33
- iSup_subtypeproof · cited by 26
- Function.ptsOfPeriodstatement · cited by 6
- Function.bUnion_ptsOfPeriodproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Function.bijOn_periodicPtsproof · cited by 0