theorem :: BVFUNC14:29

for Y being non empty set
for G being Subset of (PARTITIONS Y)
for A, B, C, D, E being a_partition of Y
for z, u being Element of Y
for h being Function st G is independent & G = {A,B,C,D,E} & A <> B & A <> C & A <> D & A <> E & B <> C & B <> D & B <> E & C <> D & C <> E & D <> E holds
EqClass (u,(((B '/\' C) '/\' D) '/\' E)) meets EqClass (z,A)