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Proofgold Proof

pf
Let x0 of type ιο be given.
Assume H0: ∃ x1 . x0 x1.
Apply H0 with x0 (prim0 x0).
Let x1 of type ι be given.
Assume H1: (λ x2 . x0 x2) x1.
Apply Eps_i_ax with x0, x1.
The subproof is completed by applying H1.