let I be Program of SCM+FSA; :: thesis: IC (Initialized I) = 0
A1: Initialized I = Initialize (I +* ((intloc 0) .--> 1)) by FUNCT_4:15;
dom (Start-At (0,SCM+FSA)) = {(IC )} by FUNCOP_1:19;
then A2: IC in dom (Start-At (0,SCM+FSA)) by TARSKI:def 1;
thus IC (Initialized I) = (Start-At (0,SCM+FSA)) . (IC ) by A2, FUNCT_4:14, A1
.= 0 by FUNCOP_1:87 ; :: thesis: verum