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Proofgold Proof

pf
Let x0 of type ι be given.
Let x1 of type ιο be given.
Let x2 of type ιο be given.
Let x3 of type ο be given.
Apply unknownprop_ee0b4b64aba8e6af97035d72b359ab8e1ae1e5e06024c58477c9410cad648356 with λ x4 x5 : ι → (ι → ο)(ι → ο) → ο . ((∀ x6 . In x6 x0iff (x1 x6) (x2 x6))x3)x5 x0 x1 x2x3.
Assume H0: (∀ x4 . In x4 x0iff (x1 x4) (x2 x4))x3.
The subproof is completed by applying H0.