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Proofgold Proof

pf
Let x0 of type ι be given.
Assume H0: prim1 x0 (4ae4a.. (4ae4a.. 4a7ef..)).
Apply unknownprop_285d1412c16abfd3320f0ee89e600fad3199271183754290c3d7bd1f86d5a491 with x0, λ x1 . not (bd0b9.. x1)x1 = 4a7ef.. leaving 3 subgoals.
The subproof is completed by applying H0.
Assume H1: not (bd0b9.. 4a7ef..).
Let x1 of type ιιο be given.
Assume H2: x1 4a7ef.. 4a7ef...
The subproof is completed by applying H2.
Assume H1: not (bd0b9.. (4ae4a.. 4a7ef..)).
Apply FalseE with 4ae4a.. 4a7ef.. = 4a7ef...
Apply H1.
The subproof is completed by applying unknownprop_375af585d676cd889234cd20860ce45033e1ffceb375ac6277c1b1a2e16f15bd.