{𝕜 : Type u_1} →
  [inst : RCLike 𝕜] →
    {n : Type u_2} →
      [inst_1 : LinearOrder n] →
        [WellFoundedLT n] → [LocallyFiniteOrderBot n] → {S : Matrix n n 𝕜} → [Fintype n] → S.PosDef → n → 𝕜