Theorems · Theorem · real analysis
Complex.exp_neg_pi_div_two_mul_I
Complex.exp (-↑Real.pi / 2 * Complex.I) = -Complex.I
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 179 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
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
- one_mulproof · cited by 2,841
- zero_addproof · cited by 2,366
- Real.pistatement and proof · cited by 1,774
- Complex.ofRealstatement and proof · cited by 1,654
- Complex.Istatement and proof · cited by 866
- neg_mulproof · cited by 654
- Complex.expstatement · cited by 612
- Complex.cosproof · cited by 279
- Complex.sinproof · cited by 258
- neg_divproof · cited by 161
- Complex.cos_negproof · cited by 17
Cited by1
Results whose statement or proof uses this declaration.
- circleMap_neg_pi_div_twoproof · cited by 0