Theorems · Theorem · field theory
Complex.I_mul_I
Complex.I * Complex.I = -1
- Defined in
- Mathlib.Data.Complex.Basic
- Cited by
- 35 results in Mathlib
- Foundations
- Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Complexstatement · cited by 5,565
- mul_oneproof · cited by 3,885
- add_zeroproof · cited by 2,707
- MulZeroClass.mul_zeroproof · cited by 2,091
- Complex.Istatement and proof · cited by 866
- neg_zeroproof · cited by 542
- zero_subproof · cited by 335
- Complex.mul_reproof · cited by 115
- Complex.mul_improof · cited by 107
- Complex.ext_iffproof · cited by 20
Cited by35
Results whose statement or proof uses this declaration.
- Complex.I_sqproof · cited by 40
- Complex.div_Iproof · cited by 11
- Complex.cos_addproof · cited by 11
- realPart_add_I_smul_imaginaryPartproof · cited by 10
- Complex.sinh_mul_Iproof · cited by 10
- Complex.hasStrictDerivAt_sinproof · cited by 5
- PhragmenLindelof.vertical_stripproof · cited by 2
- imaginaryPart_I_smulproof · cited by 2
- Polynomial.Chebyshev.U_complex_coshproof · cited by 2
- Complex.hasSum_coshproof · cited by 2
- Complex.hasSum_sinhproof · cited by 2
- ClosedSubmodule.mulI_mulI_eqproof · cited by 2