Theorems · Theorem · real analysis
Real.cos_int_mul_pi_sub
∀ (x : ℝ) (n : ℤ), Real.cos (↑n * Real.pi - x) = (-1) ^ n * Real.cos x
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- Foundations
- Depth 175 from the axioms · uses propext, Classical.choice, Quot.sound
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- Realstatement and proof · cited by 25,697
- Real.pistatement · cited by 1,774
- Real.cosstatement · cited by 424
- Real.cos_negproof · cited by 27
- Real.cos_antiperiodicproof · cited by 16
- Int.cast_negOnePowproof · cited by 10
- Function.Antiperiodic.int_mul_sub_eqproof · cited by 2
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