Theorems · Theorem · number theory
Zsqrtd.re_smul
∀ {d : ℤ} (a : ℤ) (b : ℤ√d), (↑a * b).re = a * b.re- Defined in
- Mathlib.NumberTheory.Zsqrtd.Basic
- Cited by
- 1 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.
Cites8
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 and proof · cited by 105
- Zsqrtd.improof · cited by 54
- Zsqrtd.restatement and proof · cited by 53
- Zsqrtd.im_intCastproof · cited by 14
- Zsqrtd.re_intCastproof · cited by 14
Cited by1
Results whose statement or proof uses this declaration.
- Zsqrtd.eq_of_smul_eq_smul_leftproof · cited by 0