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Proofgold Proof

pf
Apply unknownprop_85336ee07ace71a942dc508d3b8c851d9d6bb88511443b7dafbf11b71c263f4d with λ x0 . 616bf.. 4a7ef.. x0 = x0 leaving 2 subgoals.
The subproof is completed by applying unknownprop_0d2e8618ea244d22f7cc913b00fa77b277d9ba7cc6a18877e00000ded7fa2c79 with 4a7ef...
Let x0 of type ι be given.
Assume H0: ba9d8.. x0.
Assume H1: 616bf.. 4a7ef.. x0 = x0.
Apply unknownprop_52ad2c641f06ccb05422449032c6daa178243ae05b1152998946ffec9f2dc331 with 4a7ef.., x0, λ x1 x2 . x2 = 4ae4a.. x0 leaving 2 subgoals.
The subproof is completed by applying H0.
Apply H1 with λ x1 x2 . 4ae4a.. x2 = 4ae4a.. x0.
Let x1 of type ιιο be given.
Assume H2: x1 (4ae4a.. x0) (4ae4a.. x0).
The subproof is completed by applying H2.