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Proofgold Proof

pf
Let x0 of type ι be given.
Assume H0: nat_p x0.
Apply recip_SNo_pos_eps_ with x0, λ x1 x2 . recip_SNo_pos x1 = eps_ x0 leaving 2 subgoals.
The subproof is completed by applying H0.
Apply recip_SNo_pos_invol with eps_ x0 leaving 2 subgoals.
Apply SNo_eps_ with x0.
Apply nat_p_omega with x0.
The subproof is completed by applying H0.
Apply SNo_eps_pos with x0.
Apply nat_p_omega with x0.
The subproof is completed by applying H0.