Theorems · Theorem · real analysis
Real.sin_add_pi
∀ (x : ℝ), Real.sin (x + Real.pi) = -Real.sin x
- Cited by
- 1 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.
Cites4
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
- Real.sinstatement · cited by 389
- Real.sin_antiperiodicproof · cited by 14
Cited by1
Results whose statement or proof uses this declaration.
- Complex.arg_mul_cos_add_sin_mul_Iproof · cited by 5