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Proofgold Proof

pf
Let x0 of type ι be given.
Assume H0: prim1 x0 (4ae4a.. 4a7ef..).
Let x1 of type ιο be given.
Assume H1: x1 4a7ef...
Apply unknownprop_dec2978c0a72cebd51fcab0a380f03d4d80d1ccd8f826d378953148c305a60f0 with 4a7ef.., x0, x1 x0 leaving 3 subgoals.
The subproof is completed by applying H0.
Assume H2: prim1 x0 4a7ef...
Apply unknownprop_da3368fefc81e401e6446c98c0c04ab87d76d6f97c47fe5fd07c1e3c2f00ef6a with x0, x1 x0.
The subproof is completed by applying H2.
Assume H2: x0 = 4a7ef...
Apply H2 with λ x2 x3 . x1 x3.
The subproof is completed by applying H1.