Theorems · Theorem · field theory
Complex.div_re
∀ (z w : ℂ), (z / w).re = z.re * w.re / Complex.normSq w + z.im * w.im / Complex.normSq w
- Defined in
- Mathlib.Data.Complex.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 109 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Realstatement · cited by 25,697
- Complexstatement and proof · cited by 5,565
- mul_assocproof · cited by 1,667
- sub_eq_add_negproof · cited by 1,023
- neg_negproof · cited by 960
- Complex.restatement and proof · cited by 882
- div_eq_mul_invproof · cited by 715
- MonoidWithZeroHomstatement · cited by 704
- neg_mulproof · cited by 654
- Complex.imstatement and proof · cited by 591
- mul_negproof · cited by 590
Cited by4
Results whose statement or proof uses this declaration.
- integral_gaussian_complexproof · cited by 2
- Complex.HadamardThreeLines.sSupNormIm_scale_leftproof · cited by 1
- UpperHalfPlane.re_smulproof · cited by 0