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Proofgold Proof

pf
Apply int_SNo_cases with λ x0 . minus_SNo x0int leaving 2 subgoals.
The subproof is completed by applying int_minus_SNo_omega.
Let x0 of type ι be given.
Assume H0: x0omega.
Apply minus_SNo_invol with x0, λ x1 x2 . x2int leaving 2 subgoals.
Apply ordinal_SNo with x0.
Apply nat_p_ordinal with x0.
Apply omega_nat_p with x0.
The subproof is completed by applying H0.
Apply Subq_omega_int with x0.
The subproof is completed by applying H0.