theorem Th42: :: LPSPACE2:42

for X being non empty set
for S being SigmaField of X
for M being sigma_Measure of S
for f, g being PartFunc of X,REAL
for k being positive Real st f a.e.= g,M holds
a.e-eq-class_Lp (f,M,k) = a.e-eq-class_Lp (g,M,k) by Th41;