Theorems · Theorem · dynamical systems
CircleDeg1Lift.le_translationNumber_of_add_int_le
∀ (f : CircleDeg1Lift) {x : ℝ} {m : ℤ}, x + ↑m ≤ f x → ↑m ≤ f.translationNumber- Cited by
- 4 results in Mathlib
- Foundations
- Depth 171 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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
- mul_commproof · cited by 2,262
- CircleDeg1Liftstatement and proof · cited by 128
- le_div_iff₀proof · cited by 75
- CircleDeg1Lift.translationNumberstatement · cited by 48
- le_sub_iff_add_le'proof · cited by 23
- ge_of_tendsto'proof · cited by 20
- Nat.cast_add_one_posproof · cited by 18
- CircleDeg1Lift.coe_powproof · cited by 6
- CircleDeg1Lift.tendsto_translation_number'proof · cited by 2
- CircleDeg1Lift.le_iterate_of_add_int_le_mapproof · cited by 2
Cited by4
Results whose statement or proof uses this declaration.
- CircleDeg1Lift.map_lt_of_translationNumber_lt_intproof · cited by 2
- CircleDeg1Lift.translationNumber_of_eq_add_intproof · cited by 2
- CircleDeg1Lift.floor_sub_le_translationNumberproof · cited by 0
- CircleDeg1Lift.le_translationNumber_of_add_nat_leproof · cited by 0