
theorem Th66:
  for L be unital non empty multMagma for x be Element of L
  holds FPower(x,0) = (the carrier of L) --> x
proof
  let L be unital non empty multMagma;
  let x be Element of L;
  reconsider f=(the carrier of L) --> x as Function of L,L;
  now
    let y be Element of L;
    thus f.y = x by FUNCOP_1:7
      .= x*1_L by GROUP_1:def 4
      .= x*power(y,0) by GROUP_1:def 7;
  end;
  hence thesis by Def12;
end;
