Theorems · Theorem · dynamical systems
CircleDeg1Lift.translationNumber_eq_int_iff
∀ (f : CircleDeg1Lift), Continuous ⇑f → ∀ {m : ℤ}, f.translationNumber = ↑m ↔ ∃ x, f x = x + ↑m- Cited by
- 1 results in Mathlib
- Foundations
- Depth 173 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
- Continuousstatement and proof · cited by 2,592
- CircleDeg1Liftstatement and proof · cited by 128
- CircleDeg1Lift.translationNumberstatement and proof · cited by 48
- CircleDeg1Lift.translationNumber_of_eq_add_intproof · cited by 2
- CircleDeg1Lift.exists_eq_add_translationNumberproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- CircleDeg1Lift.translationNumber_eq_rat_iffproof · cited by 0