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Proofgold Proof

pf
Let x0 of type ι be given.
Assume H0: x0u6.
Apply orIR with x0x0, and (x0 = x0) (0u3).
Apply andI with x0 = x0, 0u3 leaving 2 subgoals.
Let x1 of type ιιο be given.
Assume H1: x1 x0 x0.
The subproof is completed by applying H1.
The subproof is completed by applying In_0_3.