Theorems · Theorem · number theory
GaussianInt.toComplex_re_div
∀ (x y : GaussianInt), (GaussianInt.toComplex (x / y)).re = ↑(round (GaussianInt.toComplex x / GaussianInt.toComplex y).re)
- Defined in
- Mathlib.NumberTheory.Zsqrtd.GaussianInt
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 110 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites38
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
- RingHomstatement · cited by 10,189
- Complexstatement · cited by 5,565
- one_mulproof · cited by 2,841
- mul_assocproof · cited by 1,667
- Star.starproof · cited by 1,082
- neg_negproof · cited by 960
- Complex.restatement and proof · cited by 882
- div_eq_mul_invproof · cited by 715
- neg_mulproof · cited by 654
- Complex.improof · cited by 591
Cited by1
Results whose statement or proof uses this declaration.
- GaussianInt.normSq_div_sub_div_lt_oneproof · cited by 1