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Proofgold Proof

pf
Let x0 of type ι be given.
Let x1 of type ιιι be given.
Assume H0: explicit_Group x0 x1.
Let x2 of type ι be given.
Assume H1: prim1 x2 x0.
Let x3 of type ι be given.
Assume H2: prim1 x3 x0.
Assume H3: x1 x2 x3 = explicit_Group_identity x0 x1.
Apply explicit_Group_rinv_rev with x0, x1, x2, x3, λ x4 x5 . x1 x5 x2 = explicit_Group_identity x0 x1 leaving 5 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H1.
The subproof is completed by applying H2.
The subproof is completed by applying H3.
Apply explicit_Group_inverse_linv with x0, x1, x2 leaving 2 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H1.