Theorems · Theorem · field theory
Complex.ofReal_natCast
∀ (n : ℕ), ↑↑n = ↑n
- Defined in
- Mathlib.Data.Complex.Basic
- Cited by
- 21 results in Mathlib
- Foundations
- Depth 88 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.
- Realstatement · cited by 25,697
- Complexstatement · cited by 5,565
- Complex.ofRealstatement · cited by 1,654
Cited by21
Results whose statement or proof uses this declaration.
- Complex.norm_natCast_cpow_of_posproof · cited by 6
- Complex.Gamma_ne_zeroproof · cited by 6
- Real.Gamma_nat_eq_factorialproof · cited by 5
- Complex.natCast_logproof · cited by 5
- summable_riemannZetaSummandproof · cited by 4
- Complex.exp_conjproof · cited by 4
- zeta_nat_eq_tsum_of_gt_oneproof · cited by 4
- Complex.natCast_argproof · cited by 3
- Complex.norm_natCast_cpow_of_re_ne_zeroproof · cited by 2
- hasSum_one_div_nat_pow_mul_cosproof · cited by 2
- hasSum_one_div_nat_pow_mul_sinproof · cited by 2
- Complex.hasDerivAt_Gamma_one_halfproof · cited by 2