let I, J be MacroInstruction of SCM+FSA ; :: thesis: for a being Int-Location holds UsedI*Loc (if=0 (a,I,J)) = (UsedI*Loc I) \/ (UsedI*Loc J)
set I5 = Stop SCM+FSA;
let a be Int-Location; :: thesis: UsedI*Loc (if=0 (a,I,J)) = (UsedI*Loc I) \/ (UsedI*Loc J)
set I1 = a =0_goto ((card J) + 3);
set I3 = Goto ((card I) + 1);
thus UsedI*Loc (if=0 (a,I,J)) = UsedI*Loc (((((a =0_goto ((card J) + 3)) ";" J) ";" (Goto ((card I) + 1))) ";" I) ";" (Stop SCM+FSA))
.= (UsedI*Loc ((((a =0_goto ((card J) + 3)) ";" J) ";" (Goto ((card I) + 1))) ";" I)) \/ {} by Th4, SF_MASTR:43
.= (UsedI*Loc (((a =0_goto ((card J) + 3)) ";" J) ";" (Goto ((card I) + 1)))) \/ (UsedI*Loc I) by SF_MASTR:43
.= ((UsedI*Loc ((a =0_goto ((card J) + 3)) ";" J)) \/ (UsedI*Loc (Goto ((card I) + 1)))) \/ (UsedI*Loc I) by SF_MASTR:43
.= ((UsedI*Loc ((a =0_goto ((card J) + 3)) ";" J)) \/ {}) \/ (UsedI*Loc I) by Th6
.= ((UsedInt*Loc (a =0_goto ((card J) + 3))) \/ (UsedI*Loc J)) \/ (UsedI*Loc I) by SF_MASTR:45
.= ({} \/ (UsedI*Loc J)) \/ (UsedI*Loc I) by SF_MASTR:32
.= (UsedI*Loc I) \/ (UsedI*Loc J) ; :: thesis: verum