mybabyre: THEORY
BEGIN
  % 'person' is an inhabited Type
  % The '+' means that there is at least one term of the type 'person'
  person: TYPE+

  % 'me' and 'mybaby' are people
  % ie, they are values of the type 'person'
  me, mybaby: person

  % A few variables of type 'person'
  x, y, z: VAR person

  % A predicate accepting two values of type 'person'
  loves(x, y): boolean

  % Everyone loves my baby
  everybodyLovesMyBaby: AXIOM
    forall x: loves(x, mybaby)

  % If my baby loves somebody, that is me
  mybabyLovesOnlyMe: AXIOM
    loves(mybaby, x) IMPLIES x = me

  % We this, we can prove that mybaby and me are same!
  mybabyIsMe: LEMMA
    mybaby = me
END mybabyre