Goal:
  
  G : t
  HI : invariants
  HG : acyclic_no_loop
  x : V.t
  y : V.t
  n : Z
  p : SPath (V G) x y
  Hp : sweight p = n
  z : Z
  pi : SPath (V G) y x
  Hpi : sweight pi = z
  h : V.t
  loop : SPath (VSet.union (V G) (nodes (to_pathOf pi))) h h
  H : 0 < weight (to_pathOf pi) + sweight p -> 0 < sweight loop
  ============================
   (sweight pi <= - sweight p)


DEBUG:Going to execute:
<coq-core.plugins.ssreflect::ssrmove@1> $1 $2
DEBUG LTAC Evaluated term: Hp
DEBUG LTAC Evaluated term: Hp
DEBUG LTAC Evaluated term: Hpi
DEBUG LTAC Evaluated term: Hpi
DEBUG LTAC Evaluated term: Prop
DEBUG LTAC Evaluated term: Prop
DEBUG LTAC Evaluated term: (weight_simplify (to_pathOf pi) p
                              (reflexivity
                                 (VSet.union (V G) (nodes (to_pathOf pi)))))
DEBUG LTAC Evaluated term: simplify