Theorems · Theorem · real analysis
Real.sin_pi_sub
∀ (x : ℝ), Real.sin (Real.pi - x) = Real.sin x
- Cited by
- 4 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.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- Real.pistatement · cited by 1,774
- neg_negproof · cited by 960
- Real.sinstatement and proof · cited by 389
- Real.sin_negproof · cited by 34
- Real.sin_antiperiodicproof · cited by 14
- Function.Antiperiodic.sub_eq'proof · cited by 5
Cited by4
Results whose statement or proof uses this declaration.
- Real.sin_pos_of_pos_of_lt_piproof · cited by 11
- Real.quadratic_root_cos_pi_div_fiveproof · cited by 2
- EuclideanGeometry.dist_lt_of_angle_ltproof · cited by 1
- EuclideanGeometry.sin_angle_mul_dist_eq_sin_angle_mul_distproof · cited by 1