∀ {R : Type u_1} {inst : CommRing R} (motive : LocalSubring R → Prop) (h : LocalSubring R),
  (∀ (toSubring : Subring R) (isLocalRing : IsLocalRing ↥toSubring),
      motive { toSubring := toSubring, isLocalRing := isLocalRing }) →
    motive h