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Proofgold Proof

pf
Let x0 of type ι be given.
Let x1 of type ι be given.
Assume H0: SNo x0.
Assume H1: SNo x1.
Assume H2: SNoLt 0 x0.
Assume H3: SNoLt 0 x1.
Apply mul_SNo_pos_pos with x0, recip_SNo x1 leaving 4 subgoals.
The subproof is completed by applying H0.
Apply SNo_recip_SNo with x1.
The subproof is completed by applying H1.
The subproof is completed by applying H2.
Apply recip_SNo_of_pos_is_pos with x1 leaving 2 subgoals.
The subproof is completed by applying H1.
The subproof is completed by applying H3.
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