Theorems · Theorem · number theory
Zsqrtd.divides_sq_eq_zero
∀ {d : ℕ} [dnsq : Zsqrtd.Nonsquare d] {x y : ℕ}, x * x = d * y * y → x = 0 ∧ y = 0- Defined in
- Mathlib.NumberTheory.Zsqrtd.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 37 from the axioms · uses propext, Quot.sound
- Assumes
- Zsqrtd.Nonsquare
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- mul_commproof · cited by 2,262
- mul_assocproof · cited by 1,667
- LT.lt.ne'proof · cited by 1,417
- mul_posproof · cited by 374
- mul_left_commproof · cited by 184
- dvd_mul_rightproof · cited by 89
- mul_left_cancel₀proof · cited by 47
- Zsqrtd.Nonsquarestatement and proof · cited by 12
- Zsqrtd.Nonsquare.nsproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- Zsqrtd.divides_sq_eq_zero_zproof · cited by 2
- Zsqrtd.not_divides_sqproof · cited by 1