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Proofgold Proof

pf
Let x0 of type ι be given.
Assume H0: SNo x0.
Assume H1: SNoLt x0 0.
Apply not_nonneg_abs_SNo with x0.
Assume H2: SNoLe 0 x0.
Apply SNoLt_irref with x0.
Apply SNoLtLe_tra with x0, 0, x0 leaving 5 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying SNo_0.
The subproof is completed by applying H0.
The subproof is completed by applying H1.
The subproof is completed by applying H2.
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