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Proofgold Proof

pf
Assume H0: ∀ x0 . ∀ x1 : ο . SNo x0ordinal (SNoLev x0)x1.
Claim L1: SNo 0
The subproof is completed by applying SNo_0.
Claim L2: not (ordinal (SNoLev 0)False)
Apply SNoLev_0 with λ x0 x1 . not (ordinal x1False).
Assume H2: ordinal 0False.
Apply H2.
The subproof is completed by applying ordinal_Empty.
Apply L2.
Apply H0 with 0, False.
The subproof is completed by applying L1.