Goal:
  
  G1 : t
  G2 : t
  H : invariants G1
  ext := EdgeSet.diff (E G2) (E G1) : EdgeSet.t
  bs := border_set G1 ext : VSet.t
  H0 : invariants G2
  H1 : acyclic_no_loop G1
  H2 : acyclic_no_loop G2
  h : forall x y : VSet.elt,
      VSet.In x bs -> VSet.In y bs -> (lsp G2 x y <= lsp G1 x y)%nbar
  ============================
   (forall (s : VSet.t) (x : V.t),
    VSet.In x (V G1) ->
    (Some (sweight (spath_refl G2 s x)) <=
     lsp G2 x (first_in G1 G2 (spath_refl G2 s x)) +
     lsp G1 (first_in G1 G2 (spath_refl G2 s x)) x)%nbar)


DEBUG:Going to execute:
move  =>? ? ? /=
DEBUG LTAC Evaluated term: p
DEBUG LTAC Evaluated term: p