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Proofgold Proof

pf
Let x0 of type ι be given.
Let x1 of type ι be given.
Assume H0: 80242.. x0.
Assume H1: 80242.. x1.
Assume H2: fe4bb.. x0 x1.
Assume H3: fe4bb.. x1 x0.
Apply unknownprop_7924e6ee1c731fc39c446f06eb30804a34e1dc4ba3b9a101345586c3e5109e70 with e4431.. x0, e4431.. x1, λ x2 . prim1 x2 x0, λ x2 . prim1 x2 x1, x0 = x1 leaving 5 subgoals.
Apply unknownprop_afbf697e4489c80654ae2bc4c6605f6f1d2a8b7dcfe3f07863a96592ab5c88f5 with x0.
The subproof is completed by applying H0.
Apply unknownprop_afbf697e4489c80654ae2bc4c6605f6f1d2a8b7dcfe3f07863a96592ab5c88f5 with x1.
The subproof is completed by applying H1.
The subproof is completed by applying H2.
The subproof is completed by applying H3.
Assume H4: e4431.. x0 = e4431.. x1.
Assume H5: PNoEq_ (e4431.. x0) (λ x2 . prim1 x2 x0) (λ x2 . prim1 x2 x1).
Apply unknownprop_c3102c186c7aa1001a5c1b1b7ecab6b25bcd639e713104221ece8bf414726a69 with x0, x1 leaving 4 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H1.
The subproof is completed by applying H4.
The subproof is completed by applying H5.
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