Theorems · Theorem · complex analysis
Complex.cos_sub_sin_I
∀ (x : ℂ), Complex.cos x - Complex.sin x * Complex.I = Complex.exp (-x * Complex.I)
- Defined in
- Mathlib.Analysis.Complex.Trigonometric
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 145 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Complexstatement and proof · cited by 5,565
- Complex.Istatement and proof · cited by 866
- neg_mulproof · cited by 654
- Complex.expstatement and proof · cited by 612
- Complex.cosstatement and proof · cited by 279
- Complex.sinstatement and proof · cited by 258
- Complex.coshproof · cited by 118
- Complex.cosh_mul_Iproof · cited by 11
- Complex.sinh_mul_Iproof · cited by 10
- Complex.cosh_sub_sinhproof · cited by 4
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