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Proofgold Proof

pf
Let x0 of type ι be given.
Assume H0: diadic_rational_alt1_p x0.
Apply SNoS_E2 with omega, x0, SNo x0 leaving 3 subgoals.
The subproof is completed by applying omega_ordinal.
Apply unknownprop_2a206e952ad25cce114176c1bd00b9616616e077a487ae57de9a81a2597e9fbb with x0.
The subproof is completed by applying H0.
Assume H1: SNoLev x0 ∈ omega.
Assume H2: ordinal (SNoLev x0).
Assume H3: SNo x0.
Assume H4: SNo_ (SNoLev x0) x0.
The subproof is completed by applying H3.
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