Theorems · Theorem · real analysis
Complex.cos_int_mul_two_pi_sub
∀ (x : ℂ) (n : ℤ), Complex.cos (↑n * (2 * ↑Real.pi) - x) = Complex.cos x
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- Foundations
- Depth 177 from the axioms · uses propext, Classical.choice, Quot.sound
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- Complexstatement and proof · cited by 5,565
- Real.pistatement · cited by 1,774
- Complex.ofRealstatement · cited by 1,654
- Complex.cosstatement · cited by 279
- Complex.cos_negproof · cited by 17
- Complex.cos_periodicproof · cited by 15
- Function.Periodic.int_mul_sub_eqproof · cited by 6
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