Theorems · Theorem · complex analysis
Complex.cpow_neg
∀ (x y : ℂ), x ^ (-y) = (x ^ y)⁻¹
- Cited by
- 17 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_negproof · cited by 590
- inv_oneproof · cited by 301
- Complex.logproof · cited by 187
- inv_zeroproof · cited by 184
- Complex.exp_negproof · cited by 15
Cited by17
Results whose statement or proof uses this declaration.
- Complex.cpow_neg_oneproof · cited by 7
- Real.rpow_neg_eq_inv_rpowproof · cited by 6
- Complex.Gammaℝ_oneproof · cited by 5
- DirichletCharacter.LSeries_eulerProduct_exp_logproof · cited by 3
- tsum_dirichletSummandproof · cited by 2
- LSeries_def₀proof · cited by 2
- tsum_riemannZetaSummandproof · cited by 2
- Complex.Gamma_mul_Gamma_add_halfproof · cited by 2
- Complex.cpow_subproof · cited by 2
- Complex.one_div_one_sub_cpow_hasFPowerSeriesOnBall_zeroproof · cited by 2
- LSeries.term_def₀proof · cited by 1
- Complex.hasDerivAt_Gammaℝ_oneproof · cited by 1