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Proofgold Proof

pf
Let x0 of type ι be given.
Let x1 of type ι be given.
Assume H0: f6917.. x0 = 09364.. x1.
Claim L1: prim1 4a7ef.. (09364.. x1)
The subproof is completed by applying unknownprop_f2280590a4843dd3047de5e5151d043be723c7f73a981e4edcbfbfe0904566e7 with x1.
Claim L2: prim1 4a7ef.. (f6917.. x0)
Apply H0 with λ x2 x3 . prim1 4a7ef.. x3.
The subproof is completed by applying L1.
Apply unknownprop_a63bdc277f1325cdd852a9c9272f39668f29a68974de510ddb75e64c4c429794 with x0, 4a7ef.., False leaving 2 subgoals.
The subproof is completed by applying L2.
Let x2 of type ι be given.
Assume H3: and (prim1 x2 x0) (4a7ef.. = 09364.. x2).
Apply unknownprop_85bf7bdeedcc3e8cb267976cf1d04e204174cbf9a96b7acfbf556d3381ed84d4 with x2.
Let x3 of type ιιο be given.
Apply andER with prim1 x2 x0, 4a7ef.. = 09364.. x2, λ x4 x5 . x3 x5 x4.
The subproof is completed by applying H3.