let Omega be non empty set ; :: thesis: for Sigma being SigmaField of Omega
for f, g being Real-Valued-Random-Variable of Sigma holds f + g is Real-Valued-Random-Variable of Sigma
let Sigma be SigmaField of Omega; :: thesis: for f, g being Real-Valued-Random-Variable of Sigma holds f + g is Real-Valued-Random-Variable of Sigma
let f, g be Real-Valued-Random-Variable of Sigma; :: thesis: f + g is Real-Valued-Random-Variable of Sigma
( f is_measurable_on [#] Sigma & g is_measurable_on [#] Sigma ) by Def2;
hence f + g is Real-Valued-Random-Variable of Sigma by Def2, MESFUNC6:26; :: thesis: verum