Goal:
  
  elt : Type
  eq_elt : elt -> elt -> Prop
  m : t elt
  m' : t elt
  H : forall x y : key, E.eq x y -> find x m = find y m
  H0 : forall x y : key, E.eq x y -> find x m' = find y m'
  H1 : forall k : key,
       (exists (e : elt) (y : key × elt),
          (E.eq k y.1 /\ e = y.2) /\ List.In y (elements m)) ->
       match find k m with
       | Some x =>
           match find k m' with
           | Some y => eq_elt x y
           | None => False
           end
       | None => match find k m' with
                 | Some _ => False
                 | None => True
                 end
       end
  H3 : forall k : key,
       (exists (e : elt) (y : key × elt),
          (E.eq k y.1 /\ e = y.2) /\ List.In y (elements m')) ->
       match find k m with
       | Some x =>
           match find k m' with
           | Some y => eq_elt x y
           | None => False
           end
       | None => match find k m' with
                 | Some _ => False
                 | None => True
                 end
       end
  k : key
  e : elt
  H2 : List.In (k, e) (elements m)
  H4 := fun (k : key) (e : elt)
          (e0 : exists y : key × elt,
                  (E.eq k y.1 /\ e = y.2) /\ List.In y (elements m')) =>
        H3 k
          (ex_intro
             (fun e1 : elt =>
              exists y : key × elt,
                (E.eq k y.1 /\ e1 = y.2) /\ List.In y (elements m')) e e0)
     : forall (k : key) (e : elt),
       (exists y : key × elt,
          (E.eq k y.1 /\ e = y.2) /\ List.In y (elements m')) ->
       match find k m with
       | Some x =>
           match find k m' with
           | Some y => eq_elt x y
           | None => False
           end
       | None => match find k m' with
                 | Some _ => False
                 | None => True
                 end
       end
  ============================
   ?T


DEBUG:Going to execute:
exact H
DEBUG LTAC Evaluated term: (H3 ?k
                              (ex_intro
                                 (fun e0 : elt =>
                                  exists y : key × elt,
                                    (E.eq ?k y.1 /\ e0 = y.2) /\
                                    List.In y (elements m')) 
                                 ?e ?Goal9))