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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 ι be given.
Assume H0: Subq x0 x1.
Assume H1: nIn x2 x1.
Apply unknownprop_b30a94f49240f0717f4ecb200a605aa8a4e6dad6dc5d1afa60c37866ee96baab with x2, x0.
Assume H2: In x2 x0.
Apply notE with In x2 x1 leaving 2 subgoals.
Apply unknownprop_9bccc16873f624a3c3c071d170820d76e64a5491b15f0c2f0287b0026ecb19b8 with x2, x1.
The subproof is completed by applying H1.
Apply unknownprop_cc8f63ddfbec05087d89028647ba2c7b89da93a15671b61ba228d6841bbab5e9 with x0, x1, x2 leaving 2 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H2.