Theorems · Theorem · dynamical systems
Function.directed_ptsOfPeriod_pnat
∀ {α : Type u_1} (f : α → α), Directed (fun x1 x2 => x1 ⊆ x2) fun n => Function.ptsOfPeriod f ↑n- Defined in
- Mathlib.Dynamics.PeriodicPts.Lemmas
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 28 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
- PNatstatement and proof · cited by 392
- PNat.valstatement and proof · cited by 226
- Directedstatement · cited by 213
- Function.ptsOfPeriodstatement and proof · cited by 6
- Function.IsPeriodicPt.mul_constproof · cited by 6
- Function.IsPeriodicPt.const_mulproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Function.bijOn_periodicPtsproof · cited by 0