Goal:
    G1 : t  G2 : t  s : VSet.t  x : V.t  y : V.t  p : SPath G2 s x y
  ============================
   (forall (s2 : VSet.t) (x0 z0 : V.t) (s1 : VSet.t) (y0 : V.t),
    DisjointAdd x0 s1 s2 ->
    EdgeOf G2 x0 y0 ->
    SPath G2 s1 y0 z0 ->
    VSet.mem x0 (V G1) = true -> VSet.In x0 (V G1) -> x0 = x0)


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 ]