Theorems · Theorem · dynamical systems
CircleDeg1Lift.floor_sub_le_translationNumber
∀ (f : CircleDeg1Lift) (x : ℝ), ↑⌊f x - x⌋ ≤ f.translationNumber
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- Foundations
- Depth 172 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites8
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
- Int.floorstatement · cited by 225
- CircleDeg1Liftstatement and proof · cited by 128
- CircleDeg1Lift.translationNumberstatement · cited by 48
- Int.floor_leproof · cited by 30
- le_sub_iff_add_le'proof · cited by 23
- CircleDeg1Lift.le_translationNumber_of_add_int_leproof · cited by 4
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