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Proofgold Proof

pf
Let x0 of type ι be given.
Let x1 of type ι be given.
Let x2 of type ι be given.
Let x3 of type ι be given.
Assume H0: x3setexp (setexp x2 x1) x0.
Let x4 of type ι be given.
Assume H1: x4x0.
Let x5 of type ι be given.
Assume H2: x5x1.
Claim L3: ap x3 x4setexp x2 x1
Apply unknownprop_09f3187fe3c530515ad90a81cd9debeb9cdc8829026c9bef164bdcf00924d4a3 with x0, setexp x2 x1, x3, x4 leaving 2 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H1.
Apply unknownprop_09f3187fe3c530515ad90a81cd9debeb9cdc8829026c9bef164bdcf00924d4a3 with x1, x2, ap x3 x4, x5 leaving 2 subgoals.
The subproof is completed by applying L3.
The subproof is completed by applying H2.