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Proofgold Proof

pf
Let x0 of type ι be given.
Assume H0: nat_p x0.
Apply recip_SNo_poscase with exp_SNo_nat 2 x0, λ x1 x2 . x2 = eps_ x0 leaving 2 subgoals.
Apply exp_SNo_nat_pos with 2, x0 leaving 3 subgoals.
The subproof is completed by applying SNo_2.
The subproof is completed by applying SNoLt_0_2.
The subproof is completed by applying H0.
Apply recip_SNo_pos_pow_2 with x0.
The subproof is completed by applying H0.