theorem :: BVFUNC_3:33

for Y being non empty set
for G being Subset of (PARTITIONS Y)
for a, b, c being Function of Y,BOOLEAN
for PA being a_partition of Y holds (All ((c 'imp' b),PA,G)) '&' (Ex ((a '&' c),PA,G)) '<' Ex ((a '&' b),PA,G)