Theorems · Theorem · number theory
ModularForm.logDeriv_one_sub_cexp
∀ (r : ℂ), (logDeriv fun z => 1 - r * Complex.exp z) = fun z => -r * Complex.exp z / (1 - r * Complex.exp z)
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 186 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
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
- zero_addproof · cited by 2,366
- MulZeroClass.zero_mulproof · cited by 1,625
- neg_mulproof · cited by 654
- Complex.expstatement and proof · cited by 612
- logDerivstatement · cited by 71
- deriv_const'proof · cited by 28
- deriv_fun_mulproof · cited by 15
- Complex.deriv_expproof · cited by 2
- deriv_const_sub'proof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- ModularForm.logDeriv_one_sub_mul_cexp_compproof · cited by 0