let s be All-State of ZeroTuring ; :: thesis: for p, h, t being set st s = [p,h,t] & p <> 4 holds
Following s = [((TRAN s) `1 ),((Head s) + (offset (TRAN s))),(Tape-Chg (s `3 ),(Head s),((TRAN s) `2 ))]
let p, h, t be set ; :: thesis: ( s = [p,h,t] & p <> 4 implies Following s = [((TRAN s) `1 ),((Head s) + (offset (TRAN s))),(Tape-Chg (s `3 ),(Head s),((TRAN s) `2 ))] )
assume A1: ( s = [p,h,t] & p <> 4 ) ; :: thesis: Following s = [((TRAN s) `1 ),((Head s) + (offset (TRAN s))),(Tape-Chg (s `3 ),(Head s),((TRAN s) `2 ))]
4 = the AcceptS of ZeroTuring by Def20;
hence Following s = [((TRAN s) `1 ),((Head s) + (offset (TRAN s))),(Tape-Chg (s `3 ),(Head s),((TRAN s) `2 ))] by A1, Th29; :: thesis: verum