∀ {ι : Type u_1} {α : ι → Type u_2} [inst : LT ι] [Std.Trichotomous fun x1 x2 => x1 < x2] [hι : WellFoundedGT ι]
  [inst_2 : (i : ι) → AddMonoid (α i)] [inst_3 : (i : ι) → PartialOrder (α i)] [∀ (i : ι), CanonicallyOrderedAdd (α i)]
  [hα : ∀ (i : ι), WellFoundedLT (α i)], WellFoundedLT (Lex (Π₀ (i : ι), α i))