In this context "re-identifying" an antibody refers to documenting you have 2 cells (or 3 depending on policy) that are positive for that antigen and 2 (or 3) cells that are negative for that antigen plus testing the patient for the corresponding antigen. Once the antibody is identified "re-identification" is not needed but one positive cell shows it is still reactive if all else is ruled out. So for example I will choose select cells that are negative for previously identified antibodies that will allow me to rule out all antibodies I am required to by policy. I will also ensure there is at least one cell positive for that antibody to see if it is still reactive (closes the work-up with a bow). I will also double check all positive cells (probably on the screen) to see if there are any other antigens that are not ruled out, for example Jsa, Kpa, Lua, V, f etc., if there are then another cell is needed to rule it/them out. So on a practical approach: you run the screen, chose cells to rule out all clinically significant antibodies spelled out in your policy and issuing non-reactive units covers the rest. If you are still concerned I suggest you closely read your policies and SOPs to ensure, to your satisfaction, that it makes sense and nothing was missed. There are many threads on this site delving into the more esoteric, unusual and complicated antibodies and how different transfusion services deal with them and why. With respect to your example: an e negative unit will be f negative as the f antigen is only expressed if both the c and e antigen are present AND they are in the cic position; therefore either c negative or e negative units (patients) will be f negative.
Hope this helps.