Theorems · Theorem · real analysis
Complex.sin_int_mul_pi
∀ (n : ℤ), Complex.sin (↑n * ↑Real.pi) = 0
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- Foundations
- Depth 176 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Complexstatement · cited by 5,565
- Real.pistatement · cited by 1,774
- Complex.ofRealstatement · cited by 1,654
- Complex.sinstatement · cited by 258
- Complex.sin_zeroproof · cited by 8
- Complex.sin_antiperiodicproof · cited by 7
- Function.Antiperiodic.int_mul_eq_of_eq_zeroproof · cited by 2
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