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Proofgold Proof

pf
Let x0 of type ι be given.
The subproof is completed by applying unknownprop_47684d77daf9976982fef9cd65f54cb0f256a9046ee087c4a3bf5f6bf45def6c with prim0 (prim1 (λ x1 . prim1 (λ x2 . prim0 (prim0 (prim0 x2 x1) (prim0 x1 x2)) (prim0 (prim0 x1 x1) (prim0 x1 x1))))) (prim0 (prim1 (λ x1 . prim1 (λ x2 . prim0 (prim0 (prim0 x2 x1) (prim0 x1 x1)) (prim0 (prim0 x2 x2) (prim0 x1 x2))))) (prim0 (prim1 (λ x1 . prim1 (λ x2 . prim0 (prim0 (prim0 x2 x1) (prim0 x1 x2)) (prim0 (prim0 x2 x1) (prim0 x2 x1))))) (prim0 (prim1 (λ x1 . prim1 (λ x2 . prim0 (prim0 (prim0 x2 x1) (prim0 x2 x1)) (prim0 (prim0 x1 x1) (prim0 x1 x1))))) (prim0 (prim1 (λ x1 . prim1 (λ x2 . prim0 (prim0 (prim0 x2 x1) (prim0 x1 x1)) (prim0 (prim0 x2 x2) (prim0 x1 x1))))) (prim0 (prim1 (λ x1 . prim1 (λ x2 . prim0 (prim0 (prim0 x2 x1) (prim0 x1 x2)) (prim0 (prim0 x1 x2) (prim0 x2 x1))))) (prim0 (prim1 (λ x1 . prim1 (λ x2 . prim0 (prim0 (prim0 x2 x1) (prim0 x1 x2)) (prim0 (prim0 x1 x1) (prim0 x2 x1))))) (prim0 (prim1 (λ x1 . prim1 (λ x2 . prim0 (prim0 (prim0 x2 x1) (prim0 x1 x1)) (prim0 (prim0 x2 x2) (prim0 x2 x2))))) (prim0 (prim1 (λ x1 . prim1 (λ x2 . prim0 (prim0 (prim0 x2 x1) (prim0 x1 x2)) (prim0 (prim0 x1 x1) (prim0 x2 x2))))) (prim0 (prim1 (λ x1 . prim1 (λ x2 . prim0 (prim0 (prim0 x2 x1) (prim0 x1 x2)) (prim0 (prim0 x1 x2) (prim0 x2 x1))))) (prim0 (prim1 (λ x1 . prim1 (λ x2 . prim0 (prim0 (prim0 x2 x1) (prim0 x1 x2)) (prim0 (prim0 x2 x2) (prim0 x1 x1))))) (prim0 (prim1 (λ x1 . prim1 (λ x2 . prim0 (prim0 (prim0 x2 x1) (prim0 x1 x2)) (prim0 (prim0 x1 x2) (prim0 x2 x1))))) (prim0 (prim1 (λ x1 . prim1 (λ x2 . prim0 (prim0 (prim0 x2 x1) ...) ...))) ...)))))))))))), ..., ....