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Proofgold Proof

pf
Apply unknownprop_ea78574cb3264467ecb0cee6dab0f2cbbdf0e0a00f843238d57e1be6acdbe25f with 5246e.. 4a7ef...
Let x0 of type ι be given.
Assume H0: prim1 x0 (5246e.. 4a7ef..).
Claim L1: prim1 x0 (56ded.. 4a7ef..)
Apply unknownprop_514ace28c9a90c94edf6ffd2272d2d1fb4fe92ef818112b7c45dc1e893a67196 with λ x1 x2 . prim1 x0 (56ded.. x1).
Apply unknownprop_cd4082b132eebd1418f67184106c9cd974b71dcdba0a1c046b254bc4ec1b1cd5 with 4a7ef.., x0.
The subproof is completed by applying H0.
Apply unknownprop_cd21c13b2c3f5b1a3b98367fcb2ef0b03b319d8c325362ea48d721c1e2e4842f with 4a7ef.., x0, prim1 x0 4a7ef.. leaving 3 subgoals.
The subproof is completed by applying unknownprop_d2696f7eb2bec05a6737b4f543c10fff1c0796b35a7b98004ed229df9dd391c9.
The subproof is completed by applying L1.
Assume H2: prim1 (e4431.. x0) 4a7ef...
Apply FalseE with ordinal (e4431.. x0)80242.. x01beb9.. (e4431.. x0) x0prim1 x0 4a7ef...
Apply unknownprop_da3368fefc81e401e6446c98c0c04ab87d76d6f97c47fe5fd07c1e3c2f00ef6a with e4431.. x0.
The subproof is completed by applying H2.