set S = SCM R;
now
let s be State of (SCM R); :: thesis: for o being Object of (SCM R)
for I being Instruction of (SCM R) st InsCode I = InsCode (goto (i1,R)) & o in Data-Locations holds
(Exec (I,s)) . o = s . o

let o be Object of (SCM R); :: thesis: for I being Instruction of (SCM R) st InsCode I = InsCode (goto (i1,R)) & o in Data-Locations holds
(Exec (I,s)) . o = s . o

let I be Instruction of (SCM R); :: thesis: ( InsCode I = InsCode (goto (i1,R)) & o in Data-Locations implies (Exec (I,s)) . o = s . o )
assume that
A1: InsCode I = InsCode (goto (i1,R)) and
A2: o in Data-Locations ; :: thesis: (Exec (I,s)) . o = s . o
InsCode (goto (i1,R)) = 6 by RECDEF_2:def 1;
then A3: ex i2 being Element of NAT st I = goto (i2,R) by A1, Th22;
o in Data-Locations by A2, SCMRING2:22;
then o is Data-Location of R by SCMRING2:1;
hence (Exec (I,s)) . o = s . o by A3, SCMRING2:15; :: thesis: verum
end;
hence for b1 being InsType of (SCM R) st b1 = InsCode (goto (i1,R)) holds
b1 is jump-only by AMISTD_1:def 1; :: thesis: verum