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Proofgold Proof

pf
Let x0 of type ι be given.
Assume H0: ordinal x0.
Let x1 of type ι be given.
Assume H1: prim1 x1 x0.
Let x2 of type ι be given.
Let x3 of type ι be given.
Apply PNoEq_antimon_ with λ x4 . prim1 x4 x2, λ x4 . prim1 x4 x3, x0, x1 leaving 2 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H1.