Goal:
  
  G1 : t
  G2 : t
  H : invariants G1
  ext := EdgeSet.diff (E G2) (E G1) : EdgeSet.t
  bs := border_set G1 ext : VSet.t
  s : VSet.t
  y : V.t
  z : V.t
  p : SPath G2 s y z
  _s_ : VSet.t
  _x_ : V.t
  _x1_ : V.t
  _projT1_ : Z
  _hz_ : VSet.In _x_ (V G1)
  e := (_x1_, _projT1_, _x_) : (V.t × Z) × V.t
  _he_ : EdgeSet.In e ext
  ============================
   (VSet.In _x_ (V G1))


DEBUG:Going to execute:
Ltac.assumption
Level 3: evaluation returns
<coq-core.plugins.tauto::is_empty@0>
where
tauto_flags := 
of type
tauto_flags
X1 := EdgeSet.In e ext
of type
constr of type tacvalue

Level 3: Backtrace:

Tactic failure.
Level 3: Backtrace:

Tactic failure.
Level 2: Backtrace:

Tactic failure.
Level 2: Backtrace:

Tactic failure.