let I be preProgram of SCM+FSA; :: thesis: for l being Element of NAT holds IC SCM+FSA in dom (I +* (Start-At (l,SCM+FSA)))
let l be Element of NAT ; :: thesis: IC SCM+FSA in dom (I +* (Start-At (l,SCM+FSA)))
dom (Start-At (l,SCM+FSA)) = {(IC SCM+FSA)} by FUNCOP_1:19;
then IC SCM+FSA in dom (Start-At (l,SCM+FSA)) by TARSKI:def 1;
hence IC SCM+FSA in dom (I +* (Start-At (l,SCM+FSA))) by FUNCT_4:13; :: thesis: verum