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Proofgold Proof

pf
Let x0 of type ι be given.
Assume H0: empty_p x0.
Apply unknownprop_d74508268cf2245bb4de852843c85bf4733bd48f6383eaac9c68dfae0d149115 with x0, 4a7ef...
Let x1 of type ι be given.
Apply iffI with prim1 x1 x0, prim1 x1 4a7ef.. leaving 2 subgoals.
Assume H1: prim1 x1 x0.
Apply FalseE with prim1 x1 4a7ef...
Apply H0 with x1.
The subproof is completed by applying H1.
Assume H1: prim1 x1 4a7ef...
Apply FalseE with prim1 x1 x0.
Apply unknownprop_da3368fefc81e401e6446c98c0c04ab87d76d6f97c47fe5fd07c1e3c2f00ef6a with x1.
The subproof is completed by applying H1.