Theorems · Theorem · real analysis
Real.sin_add_nat_mul_two_pi
∀ (x : ℝ) (n : ℕ), Real.sin (x + ↑n * (2 * Real.pi)) = Real.sin x
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- Foundations
- Depth 176 from the axioms · uses propext, Classical.choice, Quot.sound
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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
- Function.Periodic.nat_mulproof · cited by 15
- Real.sin_periodicproof · cited by 10
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