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Proofgold Proof

pf
Let x0 of type ι be given.
Assume H0: SNo x0.
Apply unknownprop_97c7da29e9595b010ed33a7cba4535d53c32ea3bcafdf9fb46c420ab4230017e with x0, x0 = PSNo (SNoLev x0) (λ x1 . In x1 x0) leaving 2 subgoals.
The subproof is completed by applying H0.
Assume H1: ordinal (SNoLev x0).
Assume H2: SNo_ (SNoLev x0) x0.
Apply unknownprop_bd34b8f7e044e91e0888be786614119b6a6ca456b222e458ee3d2fd0656eeb2f with SNoLev x0, x0 leaving 2 subgoals.
The subproof is completed by applying H1.
The subproof is completed by applying H2.