We prove the intermediate claimL1: 0∈UnivOf(UnivOfEmpty).
An exact proof term for the current goal is ZF_closed_0(UnivOf(UnivOfEmpty))(UnivOfEmpty)(UnivOf_TransSet(UnivOfEmpty))(UnivOf_ZF_closed(UnivOfEmpty))(UnivOf_In(UnivOfEmpty)).
An exact proof term for the current goal is MetaCatSet_initial_gen(λX ⇒ X∈UnivOf(UnivOfEmpty))L1.