
theorem Th2:
  for R being right_zeroed left_add-cancelable left-distributive
     non empty doubleLoopStr, I being left-ideal non empty Subset of R holds
  0.R in I
proof
  let R be right_zeroed left_add-cancelable left-distributive non empty
  doubleLoopStr;
  let I be left-ideal non empty Subset of R;
  set a = the Element of I;
  0.R*a in I by Def2;
  hence thesis by BINOM:1;
end;
