Goal:
  
  G : t
  HI : invariants G
  HG : acyclic_no_loop G
  z : V.t
  y : V.t
  z0 : V.t
  e0 : EdgeOf G z0 y
  p : PathOf G y z0
  e : EdgeOf G z0 z
  IHp : ~~ VSet.mem z0 (nodes G p) -> is_simple G (PathOf_add_end p e)
  nmen : is_true (~~ VSet.mem z0 (nodes G p))
  iss : is_true (is_simple G p)
  Hm : ~ VSet.mem z0 (VSet.add z0 (nodes G p))
  ============================
   (VSet.In z0 (VSet.add z0 (nodes G p)))


DEBUG:Going to execute:
match goal with
           | H':context [ H ] |- _ => clear dependent H'
           end
DEBUG LTAC Evaluated term: (~~ VSet.mem z0 (nodes G p) ->
                            is_simple G (PathOf_add_end p e))
DEBUG LTAC Evaluated term: Prop
Level 3: type of P
 has value 
Prop