let s be State of SCM+FSA ; :: thesis: for I being InitHalting Program of SCM+FSA st Initialized I c= s holds
s is halting
let I be InitHalting Program of SCM+FSA ; :: thesis: ( Initialized I c= s implies s is halting )
assume A1: Initialized I c= s ; :: thesis: s is halting
Initialized I is halting by Def2;
hence s is halting by A1, AMI_1:def 26; :: thesis: verum