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Proofgold Proof

pf
Let x0 of type ιιο be given.
Assume H0: per x0.
Let x1 of type ι be given.
Assume H1: x0 x1 x1.
Apply canonical_elt_eq with x0, x1, canonical_elt x0 x1 leaving 2 subgoals.
The subproof is completed by applying H0.
Apply canonical_elt_rel with x0, x1.
The subproof is completed by applying H1.