Proofgold Proof

pf
Let x0 of type ι be given. Assume H0: CSNo x0. Apply sqrt_SNo_nonneg_nonneg with abs_sqr_CSNo x0 leaving 2 subgoals. Apply SNo_abs_sqr_CSNo with x0. The subproof is completed by applying H0. Apply abs_sqr_CSNo_nonneg with x0. The subproof is completed by applying H0. ■