theorem Th15: :: MEASUR14:15

for X, Y being non empty set
for T being Function of X,Y
for f being PartFunc of X,ExtREAL
for g being PartFunc of Y,ExtREAL st T is bijective & g = f * (T ") holds
( dom g = T .: (dom f) & dom g = (.: T) . (dom f) )