Goal:
  
  G1 : t
  ext : EdgeSet.t
  x : VSet.elt
  e : EdgeSet.elt
  _a_ : EdgeSet.In e ext
  _b_ : (x = e..s \/ x = e..t) /\ VSet.In x (V G1)
  ============================
   ((x = e..s \/ x = e..t) /\ VSet.In x (V G1))


DEBUG:Going to execute:
<coq-core.plugins.ltac::trivial@0> $1 $2

Goals:

DEBUG:Going to execute:
hnf

Goals:

DEBUG:Going to execute:
intros

Goals:

DEBUG:Going to execute:
solve
[ do
![ solve
 [ trivial | apply : eq_sym ; trivial ]
 | discriminate
 | contradiction
 | Ltac.split ]
| case not_locked_false_eq_true; Ltac.assumption
| match goal with
  | H:~ _ |- _ => solve [ case H; trivial ]
  end ]

Goals:
  
  G1 : t
  ext : EdgeSet.t
  x : VSet.elt
  e : EdgeSet.elt
  _a_ : In e (EdgeSet.elements ext)
  _b_ : (x = e..s \/ x = e..t) /\ VSet.In x (V G1)
  ============================
   (EdgeSet.In e ext)

  
  G1 : t
  ext : EdgeSet.t
  x : VSet.elt
  e : EdgeSet.elt
  _a_ : EdgeSet.In e ext
  _b_ : (x = e..s \/ x = e..t) /\ VSet.In x (V G1)
  ============================
   (In e (EdgeSet.elements ext))


DEBUG:Going to execute:
by
[ apply
/EdgeSet.elements_spec1/InA_In_eq 
| apply
/InA_In_eq/EdgeSet.elements_spec1  ]

Goals:
  
  G1 : t
  ext : EdgeSet.t
  x : VSet.elt
  e : EdgeSet.elt
  _a_ : In e (EdgeSet.elements ext)
  _b_ : (x = e..s \/ x = e..t) /\ VSet.In x (V G1)
  ============================
   (EdgeSet.In e ext)

  
  G1 : t
  ext : EdgeSet.t
  x : VSet.elt
  e : EdgeSet.elt
  _a_ : EdgeSet.In e ext
  _b_ : (x = e..s \/ x = e..t) /\ VSet.In x (V G1)
  ============================
   (In e (EdgeSet.elements ext))


DEBUG:Going to execute:
<coq-core.plugins.ssreflect::ssrtclby@0> $1