Theorems · Theorem · number theory
Zsqrtd.divides_sq_eq_zero_z
∀ {d : ℕ} [dnsq : Zsqrtd.Nonsquare d] {x y : ℤ}, x * x = ↑d * y * y → x = 0 ∧ y = 0- Defined in
- Mathlib.NumberTheory.Zsqrtd.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 38 from the axioms · uses propext, Quot.sound
- Assumes
- Zsqrtd.Nonsquare
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- mul_assocproof · cited by 1,667
- Zsqrtd.Nonsquarestatement and proof · cited by 12
- Zsqrtd.divides_sq_eq_zeroproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- Zsqrtd.norm_eq_zeroproof · cited by 1
- Zsqrtd.eq_zero_or_eq_zero_of_mul_eq_zeroproof · cited by 0