theorem Th47:
 for p being PartState of S
 holds Initialize p c= s implies IC s = 0
proof let p be PartState of S;
A1: IC Initialize p =  0 by Def11;
A2: IC S in dom Initialize p by Def11;
  assume Initialize p c= s;
  hence thesis by A1,A2,GRFUNC_1:2;
end;
