Theorems · Theorem · dynamical systems
CircleDeg1Lift.translationNumber_eq_of_dist_bounded
∀ {f g : CircleDeg1Lift} (C : ℝ),
(∀ (n : ℕ), dist ((f ^ n) 0) ((g ^ n) 0) ≤ C) → f.translationNumber = g.translationNumber- Cited by
- 1 results in Mathlib
- Foundations
- Depth 154 from the axioms · uses propext, Classical.choice, 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.
- DFunLike.coestatement and proof · cited by 62,936
- Realstatement and proof · cited by 25,697
- Dist.diststatement and proof · cited by 1,539
- CircleDeg1Liftstatement and proof · cited by 128
- CircleDeg1Lift.translationNumberstatement · cited by 48
- CircleDeg1Lift.tendsto_translationNumber_of_dist_bounded_auxproof · cited by 2
- CircleDeg1Lift.translationNumber_eq_of_tendsto_auxproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- CircleDeg1Lift.translationNumber_eq_of_semiconjByproof · cited by 2