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Proofgold Proof

pf
Let x0 of type ι be given.
Assume H0: ∀ x1 . prim1 x1 x080242.. x1.
Apply and3I with ∀ x1 . prim1 x1 4a7ef..80242.. x1, ∀ x1 . prim1 x1 x080242.. x1, ∀ x1 . prim1 x1 4a7ef..∀ x2 . prim1 x2 x0099f3.. x1 x2 leaving 3 subgoals.
Let x1 of type ι be given.
Assume H1: prim1 x1 4a7ef...
Apply FalseE with 80242.. x1.
Apply unknownprop_da3368fefc81e401e6446c98c0c04ab87d76d6f97c47fe5fd07c1e3c2f00ef6a with x1.
The subproof is completed by applying H1.
The subproof is completed by applying H0.
Let x1 of type ι be given.
Assume H1: prim1 x1 4a7ef...
Apply FalseE with ∀ x2 . prim1 x2 x0099f3.. x1 x2.
Apply unknownprop_da3368fefc81e401e6446c98c0c04ab87d76d6f97c47fe5fd07c1e3c2f00ef6a with x1.
The subproof is completed by applying H1.