∀ {ι : Type u_1} {α : ι → Type u_2} [inst : LinearOrder ι] [inst_1 : (i : ι) → CompleteLinearOrder (α i)]
  [inst_2 : WellFoundedLT ι] (s s_1 : Set (Lex ((i : ι) → (fun i => α i) i))),
  s = s_1 → ∀ (i : ι), Pi.Lex.inf✝ s i = Pi.Lex.inf✝¹ s_1 i