∀ {ι : Type u_1} {α : ι → Type u_2} [inst : LinearOrder ι] [inst_1 : (i : ι) → LinearOrder (α i)] (a b : (i : ι) × α i),
  Sigma.Lex (fun x1 x2 => x1 < x2) (fun x x1 x2 => x1 ≤ x2) a b ∨
    Sigma.Lex (fun x1 x2 => x1 < x2) (fun x x1 x2 => x1 ≤ x2) b a