Goal:
  
  G : t
  HI : invariants G
  HG : acyclic_no_loop G
  y_0 : V.t
  x_0 : V.t
  Vx : VSet.In x_0 (V G)
  Vy : VSet.In y_0 (V G)
  Hxs : lsp G x_0 y_0 = None
  K : Z
  u : V.t
  v : V.t
  q : PathOf G' u v
  ============================
   (weight q =
    match from_G'_path q with
    | inl q' => weight q'
    | inr (q1, q2) => weight q1 + K + weight q2
    end)


DEBUG:Going to execute:
<coq-core.plugins.ltac::clear@1> $1