theorem Th35:
  the InitS of _bool A = { <%>E-succ_of (the InitS of A, A) }
proof
  the InitS of _bool A = the InitS of the semiautomaton of _bool A
    .= the InitS of _bool the semiautomaton of A by Def6
    .= { <%>E-succ_of (the InitS of the semiautomaton of A, the
  semiautomaton of A) } by Def3;
  hence thesis by REWRITE3:105;
end;
