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Proofgold Proof

pf
Let x0 of type ι be given.
Assume H0: ∀ x1 . nIn x1 x0.
Apply Empty_Subq_eq with x0.
Let x1 of type ι be given.
Assume H1: x1x0.
Apply FalseE with x10.
Apply H0 with x1.
The subproof is completed by applying H1.