Theorems · Theorem · complex analysis
Complex.cpow_add
∀ {x : ℂ} (y z : ℂ), x ≠ 0 → x ^ (y + z) = x ^ y * x ^ z- Cited by
- 22 results in Mathlib
- Foundations
- Depth 191 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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.expproof · cited by 612
- mul_addproof · cited by 413
- Complex.logproof · cited by 187
- mul_iteproof · cited by 159
- ite_mulproof · cited by 83
- Complex.exp_addproof · cited by 55
Cited by22
Results whose statement or proof uses this declaration.
- Complex.IsExpCmpFilter.isLittleO_cpow_mul_expproof · cited by 3
- Real.rpow_add_intCastproof · cited by 3
- Complex.cpow_subproof · cited by 2
- integral_gaussian_complexproof · cited by 2
- Complex.integral_cpow_mul_exp_neg_mul_Ioiproof · cited by 2
- hasSum_mellin_pi_mul_sq'proof · cited by 2
- HurwitzZeta.jacobiTheta₂'_functional_equation'proof · cited by 1
- Complex.GammaSeq_add_one_leftproof · cited by 1
- Complex.GammaSeq_eq_approx_Gamma_integralproof · cited by 1
- Complex.GammaSeq_mulproof · cited by 1
- Complex.betaIntegral_scaledproof · cited by 1
- mellinInv_eq_fourierInvproof · cited by 1