Goal:
  
  G : t
  HI : invariants G
  HG : acyclic_no_loop G
  n : Z
  x : V.t
  y : V.t
  Vy : ~ VSet.In y (V G)
  z : Z
  G' := Subgraph1.G' G (s G) x z : t
  e : y = y
  n1 : x <> y
  nneg : n <= 0
  n0 : x <> y
  H : lsp G x (s G) = Some z
  mem : VSet.In x (V G)
  X : correct_labelling G (fun x : V.t => to_label (lsp G' (s G) x))
  HI' : invariants G'
  HG' : acyclic_no_loop G'
  XX : correct_labelling G
         (fun v : V.t =>
          if is_left (V.eq_dec v y) then 0%nat else to_label (lsp G' (s G) v))
  lx : Z
  lspx : lsp G' (s G') x = Some lx
  wx : 0 <= lx
  Hle : lx + n <= 0
  lx' : Z
  lspx' : lsp G (s G) x = Some lx'
  w : 0 <= lx'
  H0 : lx' <= - z
  z2 : Z
  H2 : lx' < - z + 0 /\ z2 = - z + 0 \/ - z + 0 <= lx' /\ z2 = lx'
  ============================
   (z2 = - z)


DEBUG:Going to execute:
lazymatch Zify.zify_convert_to_euclidean_division_equations_flag
           with
           | true =>
               Zify.zify_internal_to_euclidean_division_equations
           | false => idtac
           end