let s be State of SCM+FSA ; :: thesis: for I being good InitHalting Program of SCM+FSA
for a being read-write Int-Location st not I destroysdestroy a & s . a > 0 holds
Initialized (loop (if=0 a,(Goto 2),(I ';' (SubFrom a,(intloc 0 ))))) is_pseudo-closed_on s
let I be good InitHalting Program of SCM+FSA ; :: thesis: for a being read-write Int-Location st not I destroysdestroy a & s . a > 0 holds
Initialized (loop (if=0 a,(Goto 2),(I ';' (SubFrom a,(intloc 0 ))))) is_pseudo-closed_on s
let a be read-write Int-Location ; :: thesis: ( not I destroysdestroy a & s . a > 0 implies Initialized (loop (if=0 a,(Goto 2),(I ';' (SubFrom a,(intloc 0 ))))) is_pseudo-closed_on s )
assume A1: not I destroysdestroy a ; :: thesis: ( not s . a > 0 or Initialized (loop (if=0 a,(Goto 2),(I ';' (SubFrom a,(intloc 0 ))))) is_pseudo-closed_on s )
A2: ( (Initialized s) . a = s . a & (Initialized s) . (intloc 0 ) = 1 ) by SCMFSA6C:3;
assume s . a > 0 ; :: thesis: Initialized (loop (if=0 a,(Goto 2),(I ';' (SubFrom a,(intloc 0 ))))) is_pseudo-closed_on s
then loop (if=0 a,(Goto 2),(I ';' (SubFrom a,(intloc 0 )))) is_pseudo-closed_on Initialized s by A1, A2, Th73;
hence Initialized (loop (if=0 a,(Goto 2),(I ';' (SubFrom a,(intloc 0 ))))) is_pseudo-closed_on s by SCMFSA8C:47; :: thesis: verum