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Proofgold Proof

pf
Let x0 of type ι be given.
Assume H0: ordinal x0.
Apply ordinal_SNoR with x0, λ x1 x2 . x0 = SNoCut (SNoS_ x0) x1 leaving 2 subgoals.
The subproof is completed by applying H0.
Apply ordinal_SNoL with x0, λ x1 x2 . x0 = SNoCut x1 (SNoR x0) leaving 2 subgoals.
The subproof is completed by applying H0.
Apply SNo_eta with x0.
Apply ordinal_SNo with x0.
The subproof is completed by applying H0.