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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 x2 x1.
Apply unknownprop_c3fe42b21df0810041479a97b374de73f7754e07c8af1c88386a1e7dc0aad10f with setminus x0 x1, setminus x0 x2.
Let x3 of type ι be given.
Assume H1: In x3 (setminus x0 x1).
Apply unknownprop_e02b92c94ff70655b8eb0623a7ec106c0c0c9c65ac0f52f9689f2e6c9f563b5d with x0, x1, x3, In x3 (setminus x0 x2) leaving 2 subgoals.
The subproof is completed by applying H1.
Assume H2: In x3 x0.
Assume H3: nIn x3 x1.
Apply unknownprop_3fe7f97dcb00bcf31cf989081bd8403f8f0647acc7dd719f8a7da64cd4837dac with x0, x2, x3 leaving 2 subgoals.
The subproof is completed by applying H2.
Apply unknownprop_e2a540f5b66f9de25148dd984d420a730b9932f337d99c5a49ab8ddd2826045c with x2, x1, x3 leaving 2 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H3.