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Proofgold Proof

pf
Let x0 of type ι → ο be given.
Assume H0: x0 0.
Assume H1: x0 1.
Assume H2: x0 2.
Assume H3: ∀ x1 . nat_p x1 ⟶ x0 (ordsucc (ordsucc (ordsucc x1))).
Apply unknownprop_b35032c81ea06ad673f8a0490d5be4e7b984453ec9378fed4adde429c2b88d75 with x0 leaving 3 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H1.
Apply nat_ind with λ x1 . x0 (ordsucc (ordsucc x1)) leaving 2 subgoals.
The subproof is completed by applying H2.
Let x1 of type ι be given.
Assume H4: nat_p x1.
Assume H5: x0 (ordsucc (ordsucc x1)).
Apply H3 with x1.
The subproof is completed by applying H4.
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