theorem :: BVFUNC_3:39

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 ((b 'imp' c),PA,G)) '&' (All ((c 'imp' ('not' a)),PA,G)) '<' All ((a 'imp' ('not' b)),PA,G)