Pell.exists_of_not_isSquare

∀ {d : ℤ}, 0 < d → ¬IsSquare d → ∃ x y, x ^ 2 - d * y ^ 2 = 1 ∧ y ≠ 0

If d is a positive integer that is not a square, then there is a nontrivial solution to the Pell equation x^2 - d*y^2 = 1.

Defined in: Mathlib.NumberTheory.Pell
Cited by: 3 results in Mathlib
Foundations: Depth 129 from the axioms · uses propext, Classical.choice, Quot.sound

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