Theorems · Theorem · real analysis
Complex.sin_sub_pi_div_two
∀ (x : ℂ), Complex.sin (x - ↑Real.pi / 2) = -Complex.cos x
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- 0 results in Mathlib
- Foundations
- Depth 179 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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- Real.pistatement and proof · cited by 1,774
- Complex.ofRealstatement and proof · cited by 1,654
- sub_eq_add_negproof · cited by 1,023
- mul_negproof · cited by 590
- Complex.cosstatement and proof · cited by 279
- Complex.sinstatement and proof · cited by 258
- Complex.cos_negproof · cited by 17
- Complex.sin_negproof · cited by 17
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