∑ i  ∑ j  ∑ k ≠ i   ∑ l ≠ j   | F i  ∩ G j  | | F i  ∩ G l  | | F k  ∩ G l  | | F k  ∩ G j  |         =    ∑ i  ∑ j  | F i  ∩ G j  |     ∑ k ≠ i   | F k  ∩ G j  |   ∑ l ≠ j   | F i  ∩ G l  | | F k  ∩ G l  |   =    ∑ i  ∑ j  | F i  ∩ G j  |     ∑ k ≠ i   | F k  ∩ G j  |   ( ∑ l  | F i  ∩ G l  | | F k  ∩ G l  |   − | F i  ∩ G j  | | F k  ∩ G j  |  )        MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=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@F676@