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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.. x1) (e4431.. x0).
Assume H1: SNoEq_ (e4431.. x1) x0 x1.
Assume H2: nIn (e4431.. x1) x0.
Apply unknownprop_b51c738b3a14385af55eef02a445728dc056a37996fdc42e5ede8e064af23c97 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.