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Proofgold Proof

pf
Let x0 of type ι be given.
Let x1 of type ι be given.
Apply unknownprop_57c8600e4bc6abecef2ae17962906fa2de1fc16f5d46ed100ff99cd5b67f5b1b with x0, setsum x0 x1, Inj0 leaving 2 subgoals.
The subproof is completed by applying unknownprop_1fbfebc9584f3b35fe974f93c7762fab1d5a4f649af5608ad307cbbc36ce4d37 with x0, x1.
Let x2 of type ι be given.
Assume H0: In x2 x0.
Let x3 of type ι be given.
Assume H1: In x3 x0.
The subproof is completed by applying unknownprop_e78758e04fcba33a19a6969d2869f12c65b0e0757fc54d59a07bde21db6394ef with x2, x3.