$i$を階数、$n:\mathord {\textnormal {\textsf {TruncLevel}}}$を要素とする。型$\mathord {\langle n\rangle \mathord {\textnormal {\textsf {-Type}}}}(i):\mathcal {U}(\mathord {\textnormal {\textsf {succ}}}(i))$を$\mathord {\textnormal {\textsf {Record}}}\mathopen {\{ \negmedspace |}\mathord {\textnormal {\textsf {Type}}}:\mathcal {U}(i),\mathord {\textnormal {\textsf {is-trunc}}}:\mathord {\textnormal {\textsf {IsTrunc}}}(n,\mathord {\textnormal {\textsf {Type}}})\mathclose {|\negmedspace \} }$と定義する。