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For all vars i and j and formulas F (in which j does not occur freely), G (in which i does not occur freely), and H and terms T and U:
(sumi, F T) * (sumj, G U) = (sumi, F (sumj, G T*U)).
(sumi, F (sumj, G T)) = (sumj, G (sumi, F T)) = (sumi, j, F /\ G T).
(sumi, F T) + (sumi, H T) = (sumi, F \/ H T) + (sumi, F /\ H T).