|},$$ for all $\alpha<\kappa$ such that $$A\subseteq \left\{x\in 0^\kappa\colon \forall_{\beta<\kappa}\exists_{\beta<\alpha<\kappa} x{\mathord{\upharpoonright}}(\delta_{0,\eta_\alpha}\setminus \delta_{0,\eta_\alpha})\in I_\alpha \right\}.$$  