∀ {ι : Type u_1} {α : ι → Type u_2} [inst : LinearOrder ι] [inst_1 : (i : ι) → CompleteLinearOrder (α i)]
  [inst_2 : WellFoundedLT ι] (x : Set (Lex ((i : ι) → (fun i => α i) i))), ∀ x_1 ∈ x, sInf x ≤ x_1