theorem :: BVFUNC_2:39

for Y being non empty set
for G being Subset of (PARTITIONS Y)
for a, u being Function of Y,BOOLEAN
for PA being a_partition of Y st u is_independent_of PA,G holds
(Ex (a,PA,G)) 'xor' u '<' Ex ((a 'xor' u),PA,G) by Th38;