set M = the Real-Valued-Random-Variable of S;
set F = {1} --> the Real-Valued-Random-Variable of S;
for x being set st x in dom ({1} --> the Real-Valued-Random-Variable of S) holds
ex Z being Real-Valued-Random-Variable of S st ({1} --> the Real-Valued-Random-Variable of S) . x = Z by FUNCOP_1:7;
hence ex b1 being Function st b1 is S -Random-Variable-Family by Def5; :: thesis: verum