Theorems · Theorem · field theory
Complex.I_sq
Complex.I ^ 2 = -1
- Defined in
- Mathlib.Data.Complex.Basic
- Cited by
- 40 results in Mathlib
- Foundations
- Depth 104 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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.Istatement and proof · cited by 866
- sqproof · cited by 280
- Complex.I_mul_Iproof · cited by 35
Cited by40
Results whose statement or proof uses this declaration.
- Complex.sin_sq_add_cos_sqproof · cited by 11
- ProbabilityTheory.charFun_gaussianRealproof · cited by 7
- Complex.cos_mul_Iproof · cited by 6
- Complex.sin_mul_Iproof · cited by 5
- Complex.I_pow_fourproof · cited by 4
- HarmonicAt.differentiableAt_complex_partialproof · cited by 3
- Complex.tsum_exp_neg_quadraticproof · cited by 3
- HurwitzZeta.oddKernel_def'proof · cited by 3
- jacobiTheta₂_functional_equationproof · cited by 3
- inner_map_polarizationproof · cited by 2
- Complex.I_pow_threeproof · cited by 2
- hasSum_one_div_nat_pow_mul_cosproof · cited by 2