let I be Program of SCMPDS ; :: thesis: (Initialized I) | NAT = I
A1: dom I c= NAT by RELAT_1:def 18;

A2: now

assume IC SCMPDS in NAT ; :: thesis: contradiction
then reconsider l = IC SCMPDS as Instruction-Location of SCMPDS by AMI_1:def 4;
l = IC SCMPDS ;
hence contradiction by AMI_1:48; :: thesis: verum

end;

dom (Start-At (inspos 0 )) = {(IC SCMPDS )} by FUNCOP_1:19;
hence (Initialized I) | NAT = I by A1, A2, FUNCT_4:82, ZFMISC_1:56; :: thesis: verum