
theorem
for X be non empty set, S be SigmaField of X, M be sigma_Measure of S,
 E be Element of S, f be PartFunc of X,ExtREAL, r be Real st
 E = dom f & (f is nonpositive or f is nonnegative) & f is E-measurable
  holds Integral(M,r(#)f) = r * Integral(M,f) by Lm1,Lm2;
