Theorems · Theorem · field theory
Complex.ofReal_one
↑1 = 1
- Defined in
- Mathlib.Data.Complex.Basic
- Cited by
- 43 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 by44
Results whose statement or proof uses this declaration.
- Complex.ofRealHomproof · cited by 21
- Real.Gamma_add_oneproof · cited by 13
- Real.Gamma_oneproof · cited by 7
- Real.Gamma_nat_eq_factorialproof · cited by 5
- integral_rpowproof · cited by 4
- PhragmenLindelof.quadrant_Iproof · cited by 4
- tendsto_riemannZeta_sub_one_divproof · cited by 3
- Complex.arg_cos_add_sin_mul_Iproof · cited by 3
- Complex.Gamma_one_half_eqproof · cited by 3
- hasSum_one_div_nat_pow_mul_cosproof · cited by 2
- hasDerivAt_ofReal_cpow_const'proof · cited by 2
- hasSum_one_div_nat_pow_mul_sinproof · cited by 2