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Proofgold Proof

pf
Let x0 of type ι be given.
Let x1 of type ιο be given.
Let x2 of type ιο be given.
Assume H0: PNoEq_ x0 x1 x2.
Let x3 of type ι be given.
Assume H1: prim1 x3 x0.
Apply iff_sym with x1 x3, x2 x3.
Apply H0 with x3.
The subproof is completed by applying H1.