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Proofgold Proof

pf
Let x0 of type ι be given.
Let x1 of type ιι be given.
Assume H0: ∀ x2 . x2x0x1 x2x0.
Assume H1: ∀ x2 . x2x0∀ x3 . x3x0x1 x2 = x1 x3x2 = x3.
Assume H2: ∀ x2 . x2x0∃ x3 . and (x3x0) (x1 x3 = x2).
Apply andI with struct_u (pack_u x0 x1), unpack_u_o (pack_u x0 x1) (λ x2 . λ x3 : ι → ι . bij x2 x2 (λ x4 . x3 x4)) leaving 2 subgoals.
Apply pack_struct_u_I with x0, x1.
The subproof is completed by applying H0.
Apply unknownprop_00053b5be7c938cfe915b605858ea64749203ef64a80993b9d53100cf0646b4f with x0, x1, λ x2 x3 : ο . x3.
Apply bijI with x0, x0, x1 leaving 3 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H1.
The subproof is completed by applying H2.