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Proofgold Proof

pf
Let x0 of type ι be given.
Assume H0: x0SNoS_ omega.
Let x1 of type ι be given.
Assume H1: x1SNoS_ omega.
Apply unknownprop_2a206e952ad25cce114176c1bd00b9616616e077a487ae57de9a81a2597e9fbb with mul_SNo x0 x1.
Apply unknownprop_2aab862768903d1c5aee7f2f0ed0632273e38b62a9c448fbe58583ccfcf9092d with x0, x1 leaving 2 subgoals.
Apply unknownprop_ffb5b84d40e47086b40f6e4db6ec10ef78d20da64c3abaac23ff2569830b3d1c with x0.
The subproof is completed by applying H0.
Apply unknownprop_ffb5b84d40e47086b40f6e4db6ec10ef78d20da64c3abaac23ff2569830b3d1c with x1.
The subproof is completed by applying H1.