let I be Program of SCM+FSA; :: thesis: IC (Initialized I) = 0
dom (Start-At (0,SCM+FSA)) = {(IC SCM+FSA)} by FUNCOP_1:19;
then A1: IC SCM+FSA in dom (Start-At (0,SCM+FSA)) by TARSKI:def 1;
thus IC (Initialized I) = (Start-At (0,SCM+FSA)) . (IC SCM+FSA) by A1, FUNCT_4:14
.= 0 by FUNCOP_1:87 ; :: thesis: verum