Goal:
  
  G : t
  HI : invariants G
  HG : acyclic_no_loop G
  p'' : VSet.t
  p''0 : V.t
  p' : V.t
  p : SPath G p'' p''0 p'
  ============================
   (let H := CoreTactics.block in
    forall (x : V.t) (z : Z) (p0 : SPath G (V G) x (s G)),
    {|
      pr1 := {| pr1 := V G; pr2 := {| pr1 := x; pr2 := s G |} |}; pr2 := p0
    |} =
    {|
      pr1 := {| pr1 := p''; pr2 := {| pr1 := p''0; pr2 := p' |} |}; pr2 := p
    |} ->
    let H0 := CoreTactics.block in
    sweight p0 = z ->
    ~ VSet.In x (V G) -> let H1 := CoreTactics.block in z = 0)


DEBUG:Going to execute:
fun p =>
             DepElim.elim_tac ltac:(fun p el => induction p using el) p