Theorems · Theorem · dynamical systems
Function.Semiconj.mapsTo_ptsOfPeriod
∀ {α : Type u_1} {β : Type u_2} {fa : α → α} {fb : β → β} {g : α → β},
Function.Semiconj g fa fb → ∀ (n : ℕ), Set.MapsTo g (Function.ptsOfPeriod fa n) (Function.ptsOfPeriod fb n)- Defined in
- Mathlib.Dynamics.PeriodicPts.Defs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 9 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Set.MapsTostatement · cited by 732
- Function.Semiconjstatement and proof · cited by 82
- Function.Semiconj.iterate_rightproof · cited by 7
- Function.ptsOfPeriodstatement · cited by 6
- Function.Semiconj.mapsTo_fixedPointsproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Function.bijOn_ptsOfPeriodproof · cited by 1