Theorems · Theorem · dynamical systems
CircleDeg1Lift.translationNumber_zpow
∀ (f : CircleDeg1Liftˣ) (n : ℤ), (↑(f ^ n)).translationNumber = ↑n * (↑f).translationNumber
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 158 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- Unitsstatement and proof · cited by 2,804
- Nat.cast_oneproof · cited by 2,501
- Units.valstatement and proof · cited by 1,966
- mul_negproof · cited by 590
- Nat.cast_addproof · cited by 586
- Int.cast_natCastproof · cited by 393
- zpow_natCastproof · cited by 271
- neg_add_revproof · cited by 236
- CircleDeg1Liftstatement and proof · cited by 128
- zpow_negSuccproof · cited by 92
- CircleDeg1Lift.translationNumberstatement and proof · cited by 48
Cited by1
Results whose statement or proof uses this declaration.
- CircleDeg1Lift.units_semiconj_of_translationNumber_eqproof · cited by 1