Goal:
  
  P : E.t -> Prop
  P_Proper : Proper (E.eq ==> impl) P
  s : t
  x : elt
  xs : list elt
  H2 : P x
  H3 : forall x : elt, InA E.eq x xs -> P x
  H1 : Forall P xs
  H0 : forall x : elt, InA E.eq x xs -> P x
  ============================
   (forall x0 : elt, E.eq x0 x \/ InA E.eq x0 xs -> P x0)


DEBUG:Going to execute:
match reverse goal with
           | id:(?X1 -> ?X2) -> ?X3
             |- _ =>
                 cut X3;
                  [ intro; clear id; t_tauto_intuit
                  | cut (X1 -> X2);
                     [ exact
                     id
                     | generalize (fun y : X2 => id (fun x : X1 => y)); intro;
                        clear id; (solve [ t_tauto_intuit ]) ] ]
           | id:~ ?X1 -> ?X3
             |- _ =>
                 cut X3;
                  [ intro; clear id; t_tauto_intuit
                  | cut (~ X1);
                     [ exact
                     id
                     | clear id; intro; (solve [ t_tauto_intuit ]) ] ]
           | |- ?X1 =>
                 <Coq.Init.Tauto.is_disj> flags X1; (solve
                  [ left; t_tauto_intuit | right; t_tauto_intuit ])
           end ||
             match goal with
             | |- _ -> _ => intro; t_tauto_intuit
             | |- _ => t_reduce; t_solver
             end || t_solver
Level 3: Backtrace:

No such assumption.
Level 2: Backtrace:

No such assumption.
Level 1: Backtrace:

No such assumption.
Level 1: evaluation raised the exception
Backtrace:

No such assumption.

Level 1: Backtrace:

No such assumption.
Level 0: Backtrace:

No such assumption.