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Proofgold Proof

pf
Apply unknownprop_cd2abc9a9ea77fa61ee84765e1ca3a91f36a1f29e455a4bb2f3f1707f68cbca0 with λ x0 x1 . equip (setprod u6 u6) x0.
Apply equip_sym with mul_nat u6 u6, setprod u6 u6.
Apply unknownprop_b67c3f99b7dcb350283e28e0205622aac5c4480ca587d55b1fc9b439a7a164e1 with u6, u6, u6, u6 leaving 4 subgoals.
The subproof is completed by applying nat_6.
The subproof is completed by applying nat_6.
The subproof is completed by applying equip_ref with u6.
The subproof is completed by applying equip_ref with u6.