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Proofgold Proof

pf
Let x0 of type ι be given.
Let x1 of type ι be given.
Apply unknownprop_91ac230cee6f6b845375b6f43e0a69c207c52d0119237822cf5bfa0b164f17fd with x1, x0, x1, prim1 x1 (prim2 x0 x1).
Assume H0: prim1 x1 (prim2 x0 x1)or (x1 = x0) (x1 = x1).
Assume H1: or (x1 = x0) (x1 = x1)prim1 x1 (prim2 x0 x1).
Apply H1.
Apply orIR with x1 = x0, x1 = x1.
Let x2 of type ιιο be given.
Assume H2: x2 x1 x1.
The subproof is completed by applying H2.