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Proofgold Proof

pf
Let x0 of type ι be given.
Assume H0: x0 ∈ real.
Assume H1: SNoLt 0 x0.
Apply real_recip_SNo_lem1 with x0, recip_SNo_pos x0 ∈ real leaving 4 subgoals.
Apply real_SNo with x0.
The subproof is completed by applying H0.
The subproof is completed by applying H0.
The subproof is completed by applying H1.
Assume H2: recip_SNo_pos x0 ∈ real.
Assume H3: ∀ x1 . nat_p x1 ⟶ and (ap (SNo_recipaux x0 recip_SNo_pos x1) 0 ⊆ real) (ap (SNo_recipaux x0 recip_SNo_pos x1) 1 ⊆ real).
The subproof is completed by applying H2.
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