Theorems · Theorem · number theory
Zsqrtd.not_divides_sq
∀ {d : ℕ} [dnsq : Zsqrtd.Nonsquare d] (x y : ℕ), (x + 1) * (x + 1) ≠ d * (y + 1) * (y + 1)- Defined in
- Mathlib.NumberTheory.Zsqrtd.Basic
- Cited by
- 1 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.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Zsqrtd.Nonsquarestatement and proof · cited by 12
- Zsqrtd.divides_sq_eq_zeroproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Zsqrtd.nonneg_antisymmproof · cited by 1