Theorems · Theorem · number theory
Zsqrtd.smul_val
∀ {d : ℤ} (n x y : ℤ), ↑n * { re := x, im := y } = { re := n * x, im := n * y }- Defined in
- Mathlib.NumberTheory.Zsqrtd.Basic
- Cited by
- 3 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.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- add_zeroproof · cited by 2,707
- 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
Cited by3
Results whose statement or proof uses this declaration.
- Zsqrtd.intCast_dvdproof · cited by 2
- Zsqrtd.nonneg_smulproof · cited by 1
- Zsqrtd.exists_coprime_of_gcd_posproof · cited by 0