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Proofgold Proof

pf
Let x0 of type ι be given.
Let x1 of type ι be given.
Assume H0: equip x0 x1.
Apply unknownprop_f82d0f217e1b2a36bc273d145ee21e9b9e753d654bb0c650cc08860c1b4bd1f0 with x0, x1, equip x1 x0 leaving 2 subgoals.
The subproof is completed by applying H0.
Let x2 of type ιι be given.
Assume H1: bij x0 x1 x2.
Apply unknownprop_4b95783dcb3eee1943e1de5542f675166ef402c8fbdda80bdf0920b55d3fc6de with x1, x0, ed93b.. x0 x2.
Apply unknownprop_e3addc904303a6dbb15774354394f657dd4adceaefafc059eea14906492d8def with x0, x1, x2.
The subproof is completed by applying H1.