Theorems · Theorem · number theory
Zsqrtd.decompose
∀ {d x y : ℤ}, { re := x, im := y } = ↑x + Zsqrtd.sqrtd * ↑y- Defined in
- Mathlib.NumberTheory.Zsqrtd.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 39 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- mul_oneproof · cited by 3,885
- one_mulproof · cited by 2,841
- add_zeroproof · cited by 2,707
- zero_addproof · cited by 2,366
- MulZeroClass.mul_zeroproof · cited by 2,091
- MulZeroClass.zero_mulproof · cited by 1,625
- Zsqrtdstatement · cited by 105
- Zsqrtd.extproof · cited by 18
- Zsqrtd.im_intCastproof · cited by 14
- Zsqrtd.re_intCastproof · cited by 14
- Zsqrtd.sqrtdstatement · cited by 11
Cited by2
Results whose statement or proof uses this declaration.
- Zsqrtd.nonneg_mul_lemproof · cited by 1
- Zsqrtd.hom_extproof · cited by 1