Goal:
  
  G1 : t
  G2 : t
  l : labelling
  Gl := relabel_on G1 G2 l : t
  H : invariants G1
  preserves_edges : forall e : EdgeSet.elt,
                    EdgeSet.In e (E G1) -> EdgeSet.In e (E G2)
  HGl : correct_labelling G1 l
  H0 : invariants G2
  H1 : acyclic_no_loop G2
  embed : forall v1 v2 : VSet.elt,
          VSet.In v1 (V G1) ->
          VSet.In v2 (V G1) -> (lsp G2 v1 v2 <= lsp G1 v1 v2)%nbar
  G : t
  s0 : VSet.t
  x : V.t
  ============================
   (let H := CoreTactics.block in
    let H0 := CoreTactics.block in
    Acc
      (fun
         x
          y : sigma
                (fun
                   index : sigma
                             (fun _ : VSet.t => sigma (fun _ : V.t => V.t))
                 => SPath G (pr1 index) (pr1 (pr2 index)) (pr2 (pr2 index)))
       =>
       SPath_direct_subterm G (pr1 (pr1 x)) (pr1 (pr2 (pr1 x)))
         (pr2 (pr2 (pr1 x))) (pr1 (pr1 y)) (pr1 (pr2 (pr1 y)))
         (pr2 (pr2 (pr1 y))) (pr2 x) (pr2 y))
      {|
        pr1 := {| pr1 := s0; pr2 := {| pr1 := x; pr2 := x |} |};
        pr2 := spath_refl G s0 x
      |})


DEBUG:Going to execute:
change T; CoreTactics.intros_until_block
Level 5: T
 has value 
(let H := CoreTactics.block in
 Acc
   (fun
      x
       y : sigma
             (fun
                index : sigma (fun _ : VSet.t => sigma (fun _ : V.t => V.t))
              => SPath G (pr1 index) (pr1 (pr2 index)) (pr2 (pr2 index))) =>
    SPath_direct_subterm G (pr1 (pr1 x)) (pr1 (pr2 (pr1 x)))
      (pr2 (pr2 (pr1 x))) (pr1 (pr1 y)) (pr1 (pr2 (pr1 y)))
      (pr2 (pr2 (pr1 y))) (pr2 x) (pr2 y))
   {|
     pr1 := {| pr1 := s0; pr2 := {| pr1 := x; pr2 := x |} |};
     pr2 := spath_refl G s0 x
   |})