
theorem
for X being non empty set, S be SigmaField of X, M being sigma_Measure of S,
 f being PartFunc of X,REAL st dom f = {} holds Integral(M,f) = 0
proof
    let X be non empty set, S be SigmaField of X, M be sigma_Measure of S,
    f be PartFunc of X,REAL;
    assume dom f = {}; then
    dom(R_EAL f) = {} by MESFUNC5:def 7;
    hence thesis by Th1;
end;
