theorem Th33: :: MEASUR14:33

for X, Y being non empty set
for S being SigmaField of X
for T being Function of X,Y
for M being sigma_Measure of S
for f being PartFunc of X,ExtREAL
for g being PartFunc of Y,ExtREAL st T is bijective & g = f * (T ") holds
( f is_integrable_on M iff g is_integrable_on CopyMeasure (T,M) )