Goal:
  
  n1 : Z
  y1 : V.t
  n2 : Z
  y2 : V.t
  x3 : V.t
  n3 : Z
  y3 : V.t
  H1' : n1 < n2
  H2' : n2 < n3
  T1 : V.lt x3 x3 -> V.lt x3 x3 -> V.lt x3 x3
  T2 : V.lt y1 y2 -> V.lt y2 y3 -> V.lt y1 y3
  T3 : n1 = n2 -> n2 = n3 -> n1 = n3
  ============================
   (x3 = x3 /\ n1 < n3)


DEBUG:Going to execute:
repeat
            match goal with
            | |- ?X1 -> ?X2 => intro
            | |- ~ _ => unfold not at 1; intro
            end