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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 ιιι be given.
Let x3 of type ιι be given.
Let x4 of type ιιο be given.
Let x5 of type ιο be given.
Assume H0: x0 = b3c00.. x1 x2 x3 x4 x5.
Let x6 of type ι be given.
Assume H1: prim1 x6 x1.
Apply H0 with λ x7 x8 . x3 x6 = f482f.. (f482f.. x8 (4ae4a.. (4ae4a.. 4a7ef..))) x6.
Apply unknownprop_51dd0fb66962bee1c2fe2d4c3087ef74fa40b0ea2b10a68c4495889e589e4fea with x1, eb53d.. x1 x2, 0fc90.. x1 x3, d2155.. x1 x4, 1216a.. x1 x5, λ x7 x8 . x3 x6 = f482f.. x8 x6.
Let x7 of type ιιο be given.
Apply unknownprop_b456609235d152f08bccfce314d541d7c44f3716137c00b0ce21cf467ba83d17 with x1, x3, x6, λ x8 x9 . x7 x9 x8.
The subproof is completed by applying H1.