∀ {I : Type u} (C : Set (I → Bool)) [inst : LinearOrder I] [inst_1 : WellFoundedLT I] {o₁ o₂ : Ordinal.{u}},
  o₁ ≤ o₂ → Profinite.NobelingProof.GoodProducts.smaller C o₁ ⊆ Profinite.NobelingProof.GoodProducts.smaller C o₂