Theorems · Theorem · general topology
AddCircle.denseRange_zsmul_coe_iff
∀ {a p : ℝ}, (DenseRange fun x => x • ↑a) ↔ Irrational (a / p)The multiples of a number a are dense on a circle of length p iff a / p is irrational.
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- Foundations
- Depth 120 from the axioms · uses propext, Classical.choice, Quot.sound
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- QuotientAddGroup.mkstatement and proof · cited by 348
- DenseRangestatement and proof · cited by 164
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