theorem Th32: :: MESFUN16:32

for X, Y being non empty set
for f being PartFunc of [:X,Y:],REAL
for x being Element of X
for y being Element of Y holds
( ProjPMap1 (|.f.|,x) = |.(ProjPMap1 (f,x)).| & ProjPMap2 (|.f.|,y) = |.(ProjPMap2 (f,y)).| )