Theorems · Theorem · real analysis
Real.sin_nat_mul_pi
∀ (n : ℕ), Real.sin (↑n * Real.pi) = 0
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- Foundations
- Depth 175 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- Real.pistatement · cited by 1,774
- Real.sinstatement · cited by 389
- Real.sin_zeroproof · cited by 32
- Real.sin_antiperiodicproof · cited by 14
- Function.Antiperiodic.nat_mul_eq_of_eq_zeroproof · cited by 3
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