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Proofgold Proof

pf
Let x0 of type ι be given.
Let x1 of type ι be given.
Let x2 of type ι be given.
Assume H0: prim1 x2 (prim2 x0 x1).
Apply unknownprop_44132e34b8fcc92e54ff875d0e8f6137eeea7d41bb9d4b117dbbbb4d2f239782 with x2, x0, x1, prim1 x2 (prim2 x1 x0) leaving 3 subgoals.
The subproof is completed by applying H0.
Assume H1: x2 = x0.
Apply H1 with λ x3 x4 . prim1 x4 (prim2 x1 x0).
The subproof is completed by applying unknownprop_70f06371245ce38fbbca963cb4d7e422ccf350d2e27735c617635b09cbcba701 with x1, x0.
Assume H1: x2 = x1.
Apply H1 with λ x3 x4 . prim1 x4 (prim2 x1 x0).
The subproof is completed by applying unknownprop_893870ab8a49d622c10a8fe954eea30d7bd2b94aa27e9c6b21eab85a9f81d115 with x1, x0.