Theorems · Theorem · dynamical systems
CircleDeg1Lift.translationNumber_pow
∀ (f : CircleDeg1Lift) (n : ℕ), (f ^ n).translationNumber = ↑n * f.translationNumber
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 157 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- CircleDeg1Liftstatement and proof · cited by 128
- CircleDeg1Lift.translationNumberstatement · cited by 48
Cited by4
Results whose statement or proof uses this declaration.
- CircleDeg1Lift.translationNumber_zpowproof · cited by 1
- CircleDeg1Lift.dist_pow_map_zero_mul_translationNumber_leproof · cited by 1
- CircleDeg1Lift.translationNumber_eq_rat_iffproof · cited by 0
- CircleDeg1Lift.translationNumber_of_map_pow_eq_add_intproof · cited by 0