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Proofgold Proof

pf
Claim L0: ∀ x0 . abelian_Group_alt x0struct_b x0
Let x0 of type ι be given.
Assume H0: abelian_Group_alt x0.
Apply H0 with struct_b x0.
Assume H1: struct_b x0.
Assume H2: unpack_b_o x0 (λ x1 . λ x2 : ι → ι → ι . and (explicit_Group x1 x2) (explicit_abelian x1 x2)).
The subproof is completed by applying H1.
Apply unknownprop_be2503b86c1e5792746c6adc58383e3972a7c1b0d953c88e847e4de130b06873 with abelian_Group_alt.
The subproof is completed by applying L0.