Theorems · Definition · number theory
beattySeq
ℝ → ℤ → ℤ
In the Beatty sequence for real number r, the kth term is ⌊k * r⌋.
- Defined in
- Mathlib.NumberTheory.Rayleigh
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 110 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Cited by6
Results whose statement or proof uses this declaration.
- compl_beattySeqstatement and proof · cited by 2
- beattySeq'_symmDiff_beattySeq_posstatement and proof · cited by 1
- beattySeq_symmDiff_beattySeq'_posstatement and proof · cited by 1
- Irrational.beattySeq'_pos_eqstatement · cited by 1
- Irrational.beattySeq_symmDiff_beattySeq_posstatement and proof · cited by 0
- compl_beattySeq'statement and proof · cited by 0