The classical and elegant independent sorption domain theory introduced by Everett marked a milestone in the field of adsorption, since it allowed via their famous complexion diagrams a straightforward visualization of the state of individual pores, i.e. filled or emptied of condensate according to their sizes, of an adsorbent in contact with a vapor. The principal results of the independent domain theory are comprised in a series of theorems. The applicability of these theorems is now examined from the point of view of the dual site-bond model, a non-independent pore domain approach that has been proved to be very useful to simulate porous networks and capillary phenomena occurring wherein.