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Proofgold Proof

pf
Apply unknownprop_182c04046a079c94ddb7633eb3970f1d6314344011f16a11027ed1ec214739d8 with λ x0 x1 : ι → ι → ι . ∀ x2 x3 x4 . prim1 x4 (x0 x2 x3)or (∃ x5 . and (prim1 x5 x2) (x4 = x0 4a7ef.. x5)) (∃ x5 . and (prim1 x5 x3) (x4 = x0 (4ae4a.. 4a7ef..) x5)).
The subproof is completed by applying unknownprop_583e189228469f510dae093aa816b0d084f1acaf0341e7deab9d9a676d1b11ef.