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Proofgold Proof

pf
Let x0 of type ι be given.
Assume H0: SNo x0.
Assume H1: SNoLe 0 x0.
Apply sqrt_SNo_nonneg_prop1b with x0 leaving 3 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H1.
Apply SNo_sqrtaux_0_1_prop with x0 leaving 2 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H1.