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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 ι be given.
Assume H0: prim1 x2 x0.
Assume H1: x1 x2.
Apply Eps_i_ax with λ x3 . and (prim1 x3 x0) (x1 x3), x2.
Apply andI with prim1 x2 x0, x1 x2 leaving 2 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H1.