now :: thesis: for s being State of (SCM R)
for o being Object of (SCM R)
for I being Instruction of (SCM R) st InsCode I = InsCode (halt (SCM R)) & o in Data-Locations holds
(Exec (I,s)) . o = s . o

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 (halt (SCM 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 (halt (SCM R)) & o in Data-Locations holds
(Exec (I,s)) . o = s . o
let I be Instruction of (SCM R); :: thesis: ( InsCode I = InsCode (halt (SCM R)) & o in Data-Locations implies (Exec (I,s)) . o = s . o )
assume that
A1: InsCode I = InsCode (halt (SCM R)) and
o in Data-Locations ; :: thesis: (Exec (I,s)) . o = s . o
I = halt (SCM R) by A1, Th11;
hence (Exec (I,s)) . o = s . o by EXTPRO_1:def 3; :: thesis: verum

end;

hence for b₁ being InsType of the InstructionsF of (SCM R) st b₁ = InsCode (halt (SCM R)) holds
b₁ is jump-only ; :: thesis: verum