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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.
Let x3 of type ι be given.
Assume H1: prim1 x3 (1ad11.. x0 x1).
Apply unknownprop_b29d0d66991b8737c3ef6109cea8b8736c6edd642ea721f35cfa04fecdda0905 with x0, x1, x3, prim1 x3 (1ad11.. x0 x2) leaving 2 subgoals.
The subproof is completed by applying H1.
Assume H2: prim1 x3 x0.
Assume H3: nIn x3 x1.
Apply unknownprop_4469442df960b88f16925ae745a59dde3c3d26a1d7b003702e92e0a7ea2361ef with x0, x2, x3 leaving 2 subgoals.
The subproof is completed by applying H2.
Apply Subq_contra with x2, x1, x3 leaving 2 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H3.
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