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Proofgold Proof

pf
Let x0 of type ι be given.
Assume H0: x0omega.
Let x1 of type ι be given.
Assume H1: x1omega.
Apply nat_p_omega with mul_CSNo x0 x1.
Apply unknownprop_0bb75eee38af15744cc7fae0e5a9d1a6dc79cf3f4b96a91d4c30371ac9fe242c with x0, x1 leaving 2 subgoals.
Apply omega_nat_p with x0.
The subproof is completed by applying H0.
Apply omega_nat_p with x1.
The subproof is completed by applying H1.