Let x0 of type ι be given.
Apply H0 with
struct_b_b_e x0.
Assume H2:
unpack_b_b_e_o x0 (λ x1 . λ x2 x3 : ι → ι → ι . λ x4 . and (explicit_Ring x1 x4 x2 x3) (∀ x5 . x5 ∈ x1 ⟶ ∀ x6 . x6 ∈ x1 ⟶ x3 x5 x6 = x3 x6 x5)).
The subproof is completed by applying H1.
Apply unknownprop_f8aa78094125b50fb4c2bb67306c535ef34713dd1b79d9c3a86af7333c45e8da with
CRing_alt.
The subproof is completed by applying L0.