∀ {ι : Type u_1} {α : ι → Type u_2} [inst : (i : ι) → Zero (α i)] [inst_1 : LinearOrder ι]
  [inst_2 : (i : ι) → LinearOrder (α i)] {f g : Π₀ (i : ι), α i},
  toLex f < toLex g → ⇑(ofLex (toLex f)) = ⇑(ofLex (toLex g)) ∨ toLex f < toLex g