Theorems · Theorem · complex analysis
Complex.zero_cpow
∀ {x : ℂ}, x ≠ 0 → 0 ^ x = 0- Cited by
- 29 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.
Cites3
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
- Complex.logproof · cited by 187
Cited by29
Results whose statement or proof uses this declaration.
- Real.zero_rpowproof · cited by 57
- Complex.mul_cpow_ofReal_nonnegproof · cited by 12
- Complex.hasStrictDerivAt_const_cpowproof · cited by 6
- integral_cpowproof · cited by 5
- LSeries.term_of_ne_zero'proof · cited by 5
- Complex.norm_cpow_of_impproof · cited by 4
- Complex.ofReal_cpow_of_nonposproof · cited by 4
- HurwitzZeta.hasSum_nat_cosZetaproof · cited by 4
- Complex.cpow_int_mulproof · cited by 3
- zeta_eq_tsum_one_div_nat_add_one_cpowproof · cited by 3
- HurwitzZeta.hasSum_nat_sinZetaproof · cited by 3
- Complex.norm_cpow_leproof · cited by 2