Theorems · Theorem · number theory
GaussianInt.div_def
∀ (x y : GaussianInt),
x / y = { re := round (↑(x * star y).re / ↑(Zsqrtd.norm y)), im := round (↑(x * star y).im / ↑(Zsqrtd.norm y)) }- Defined in
- Mathlib.NumberTheory.Zsqrtd.GaussianInt
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- one_mulproof · cited by 2,841
- Star.starstatement and proof · cited by 1,082
- neg_negproof · cited by 960
- div_eq_mul_invproof · cited by 715
- neg_mulproof · cited by 654
- mul_negproof · cited by 590
- Int.cast_negproof · cited by 224
- Int.cast_addproof · cited by 124
- Int.cast_mulproof · cited by 113
- Zsqrtd.imstatement and proof · cited by 54
- Zsqrtd.restatement and proof · cited by 53
- roundstatement and proof · cited by 49
Cited by2
Results whose statement or proof uses this declaration.
- GaussianInt.toComplex_re_divproof · cited by 1
- GaussianInt.toComplex_im_divproof · cited by 1