Theorems · Theorem · real analysis
Real.sin_int_mul_pi
∀ (n : ℤ), Real.sin (↑n * Real.pi) = 0
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 175 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
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.int_mul_eq_of_eq_zeroproof · cited by 2
Cited by5
Results whose statement or proof uses this declaration.
- Real.sin_eq_zero_iffproof · cited by 5
- Polynomial.Chebyshev.integral_eval_T_real_measureT_of_ne_zeroproof · cited by 3
- Real.Angle.cos_eq_iff_coe_eq_or_eq_negproof · cited by 3
- Real.Angle.sin_eq_iff_coe_eq_or_add_eq_piproof · cited by 2
- Real.abs_cos_int_mul_piproof · cited by 0