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Proofgold Proof

pf
Let x0 of type ι be given.
Assume H0: SNo x0.
Apply exp_SNo_nat_2 with x0, λ x1 x2 . or (x0 = 0) (SNoLt 0 x2) leaving 2 subgoals.
The subproof is completed by applying H0.
Apply SNo_zero_or_sqr_pos with x0.
The subproof is completed by applying H0.