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Proofgold Proof

pf
Let x0 of type ο be given.
Assume H0: ∀ x1 . and (x1omega) (equip 0 x1)x0.
Apply H0 with 0.
Apply andI with 0omega, equip 0 0 leaving 2 subgoals.
Apply nat_p_omega with 0.
The subproof is completed by applying nat_0.
The subproof is completed by applying equip_ref with 0.