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Proofgold Proof

pf
Let x0 of type ι be given.
Assume H0: SNo x0.
Apply SNo_pair_0 with x0, λ x1 x2 . CSNo_Re x1 = x0.
Apply CSNo_Re2 with x0, 0 leaving 2 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying SNo_0.