Theorems · Theorem · dynamical systems
CircleDeg1Lift.translationNumber_le_of_le_add_nat
∀ (f : CircleDeg1Lift) {x : ℝ} {m : ℕ}, f x ≤ x + ↑m → f.translationNumber ≤ ↑m- Cited by
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- Foundations
- Depth 172 from the axioms · uses propext, Classical.choice, Quot.sound
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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
- CircleDeg1Liftstatement and proof · cited by 128
- CircleDeg1Lift.translationNumberstatement · cited by 48
- CircleDeg1Lift.translationNumber_le_of_le_add_intproof · cited by 4
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