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Proofgold Proof

pf
Let x0 of type ι(ιιο) → ιο be given.
Let x1 of type ι be given.
Let x2 of type ιιο be given.
Assume H0: ∀ x3 . x3x1f6068.. x0 x3 (x2 x3).
Let x3 of type ι(ιο) → ο be given.
Assume H1: ∀ x4 . ∀ x5 : ι → ι → ο . (∀ x6 . x6x4x3 x6 (x5 x6))x3 x4 (x0 x4 x5).
Apply H1 with x1, x2.
Let x4 of type ι be given.
Assume H2: x4x1.
Apply H0 with x4, x3 leaving 2 subgoals.
The subproof is completed by applying H2.
The subproof is completed by applying H1.