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Proofgold Proof

pf
Apply unknownprop_09a15e4a4a26a9e483412f704016420ed6a01f84c815d73b065b7804e5d926a9 with λ x0 x1 : ι → ι → ι . ∀ x2 x3 x4 . In x4 (x1 x2 x3)nIn x4 x3.
Let x0 of type ι be given.
Let x1 of type ι be given.
Let x2 of type ι be given.
Assume H0: In x2 (Sep x0 (λ x3 . nIn x3 x1)).
Apply unknownprop_ba186f550679124419b8222be99b3e20dd42619ae850577f6f9edb2a83aac5a7 with x0, λ x3 . nIn x3 x1, x2.
The subproof is completed by applying H0.