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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 ιι be given.
Let x3 of type ιι be given.
Let x4 of type ιο be given.
Let x5 of type ι be given.
Assume H0: x0 = 7e46e.. x1 x2 x3 x4 x5.
Let x6 of type ι be given.
Assume H1: prim1 x6 x1.
Apply H0 with λ x7 x8 . x2 x6 = f482f.. (f482f.. x8 (4ae4a.. 4a7ef..)) x6.
Apply unknownprop_77f68db33b06c13e62277551071ae214188ddd0eb6d4180d8c065369f0ddf296 with x1, 0fc90.. x1 x2, 0fc90.. x1 x3, 1216a.. x1 x4, x5, λ x7 x8 . x2 x6 = f482f.. x8 x6.
Let x7 of type ιιο be given.
Apply unknownprop_b456609235d152f08bccfce314d541d7c44f3716137c00b0ce21cf467ba83d17 with x1, x2, x6, λ x8 x9 . x7 x9 x8.
The subproof is completed by applying H1.