let I be Program of SCM+FSA ; :: thesis: for k being Element of NAT holds UsedIntLoc I = UsedIntLoc (ProgramPart (Relocated I,k))
let k be Element of NAT ; :: thesis: UsedIntLoc I = UsedIntLoc (ProgramPart (Relocated I,k))
UsedIntLoc (ProgramPart (Relocated I,k)) = UsedIntLoc (Reloc (ProgramPart I),k) by AMISTD_2:69
.= UsedIntLoc (Shift (ProgramPart I),k) by Th28
.= UsedIntLoc (ProgramPart I) by Th26 ;
hence UsedIntLoc I = UsedIntLoc (ProgramPart (Relocated I,k)) by RELAT_1:209; :: thesis: verum