Theorems · Theorem · special functions
EulerSine.antideriv_sin_comp_const_mul
∀ {z : ℂ}, z ≠ 0 → ∀ (x : ℝ), HasDerivAt (fun y => -Complex.cos (2 * z * ↑y) / (2 * z)) (Complex.sin (2 * z * ↑x)) x- Cited by
- 1 results in Mathlib
- Foundations
- Depth 203 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites21
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- Complexstatement and proof · cited by 5,565
- mul_oneproof · cited by 3,885
- one_mulproof · cited by 2,841
- Nat.cast_zeroproof · cited by 1,870
- Complex.ofRealstatement and proof · cited by 1,654
- neg_negproof · cited by 960
- neg_mulproof · cited by 654
- div_oneproof · cited by 629
- HasDerivAtstatement and proof · cited by 493
- Complex.cosstatement and proof · cited by 279
- Complex.sinstatement and proof · cited by 258
Cited by1
Results whose statement or proof uses this declaration.
- EulerSine.integral_sin_mul_sin_mul_cos_pow_eqproof · cited by 1