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Proofgold Proof

pf
Let x0 of type ((ιο) → ο) → ο be given.
Let x1 of type ((ιο) → ο) → ο be given.
Assume H0: 8fddf.. (a327b.. x0) (a327b.. x1).
Apply unknownprop_c6664f1abdc99ace6d817e614743060b949620a298baacd98ca5336d448b8e3b with a327b.. x0, a327b.. x1, λ x2 : (((ι → ο) → ο) → ο) → ο . x2 = a327b.. x0e6217.. x0 x1 leaving 3 subgoals.
The subproof is completed by applying H0.
Let x2 of type ((ιο) → ο) → ο be given.
Assume H1: e6217.. x2 x1.
Assume H2: a327b.. x2 = a327b.. x0.
Apply unknownprop_fb936e779a336113a4fb7f3c7b779c1e8f8958132dfedde97188f6d659f336c8 with x2, x0, λ x3 x4 : ((ι → ο) → ο) → ο . e6217.. x3 x1 leaving 2 subgoals.
The subproof is completed by applying H2.
The subproof is completed by applying H1.
Let x2 of type ((((ιο) → ο) → ο) → ο) → ((((ιο) → ο) → ο) → ο) → ο be given.
Assume H1: x2 (a327b.. x0) (a327b.. x0).
The subproof is completed by applying H1.