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) = ((I +* ((intloc 0 ) .--> 1)) +* (Start-At 0 ,SCM+FSA )) . (IC SCM+FSA )
.= (Start-At 0 ,SCM+FSA ) . (IC SCM+FSA ) by A1, FUNCT_4:14
.= 0 by FUNCOP_1:87 ; :: thesis: verum