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Proofgold Proof

pf
Let x0 of type ιι be given.
Let x1 of type ιι be given.
Let x2 of type ι be given.
Assume H0: prim1 x0 = prim1 x1.
Apply unknownprop_acde72e2f50237aebb3f280c9adbd840002728dc66b42dda2437acbece7fe515 with x0, x1, λ x3 x4 : ι → ι . x4 x2 = x1 x2 leaving 2 subgoals.
The subproof is completed by applying H0.
Let x3 of type ιιο be given.
Assume H1: x3 (x1 x2) (x1 x2).
The subproof is completed by applying H1.