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Proofgold Proof

pf
Let x0 of type ι be given.
Let x1 of type ι be given.
Assume H0: prim1 (e4431.. x0) (e4431.. x1).
Assume H1: SNoEq_ (e4431.. x0) x0 x1.
Assume H2: prim1 (e4431.. x0) x1.
Apply unknownprop_9bcd3ca68066c7069c00444b0b53fe3ae6267cb29974000b72e5fe8327360c0b with e4431.. x0, e4431.. x1, λ x2 . prim1 x2 x0, λ x2 . prim1 x2 x1 leaving 3 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H1.
The subproof is completed by applying H2.