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Proofgold Proof

pf
Apply unknownprop_abe15cc9bd131c95b0b9585b43caa22ca6fcee57a092fd0cd1b55cd95e75595e with λ x0 x1 : ι → ι → ι . ∀ x2 . ∀ x3 : ι → ι . ∀ x4 : ι → ι → ι . ∀ x5 . In x5 (lam2 x2 x3 x4)∀ x6 : ι → ο . (∀ x7 . In x7 x2∀ x8 . In x8 (x3 x7)∀ x9 . In x9 (x4 x7 x8)x6 (x0 x7 (x0 x8 x9)))x6 x5.
The subproof is completed by applying unknownprop_0cfc80a7180d77dfa5a67c4f3f1eeff15d8b639e9677f853db0038b324c9aeb6.