Pell.IsFundamental.mul_inv_x_pos

∀ {d : ℤ} {a₁ : Pell.Solution₁ d},
  Pell.IsFundamental a₁ → ∀ {a : Pell.Solution₁ d}, 1 < a.x → 0 < a.y → 0 < (a * a₁⁻¹).x

If we multiply a positive solution with the inverse of a fundamental solution, the x-coordinate stays positive.

Defined in: Mathlib.NumberTheory.Pell
Cited by: 1 results in Mathlib
Foundations: Depth 52 from the axioms · uses propext, Classical.choice, Quot.sound

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