let i be Element of SCM+FSA-Memory ; :: thesis: ( SCM+FSA-OK . i = NAT implies i = NAT )
assume A1: SCM+FSA-OK . i = NAT ; :: thesis: i = NAT
not i in SCM+FSA-Data*-Loc by A1, Th12, Th13;
then A3: i in {NAT} \/ SCM+FSA-Data-Loc by XBOOLE_0:def 3;
not i in SCM+FSA-Data-Loc by A1, Th10, NUMBERS:27;
then i in {NAT} by A3, XBOOLE_0:def 3;
hence i = NAT by TARSKI:def 1; :: thesis: verum