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Proofgold Proof

pf
Let x0 of type ι be given.
Assume H0: nat_p x0.
Let x1 of type ιο be given.
Assume H1: x1 0.
Assume H2: ∀ x2 . x1 x2x1 (ordsucc x2).
Apply H2 with x0.
Apply H0 with x1 leaving 2 subgoals.
The subproof is completed by applying H1.
The subproof is completed by applying H2.