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, find k m = Some e) ->
       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, find k m' = Some e) ->
       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
  H2 : exists e : elt, find k m' = Some e
  ============================
   (exists e : elt, find k m = Some e)


DEBUG:Going to execute:
split_in_context_by ident funl funr ltac:(fun H => apply H)
DEBUG LTAC Evaluated term: iff
DEBUG LTAC Evaluated term: iff
DEBUG LTAC Evaluated term: (fun a b : Prop => a -> b)
DEBUG LTAC Evaluated term: (fun a b : Prop => a -> b)
DEBUG LTAC Evaluated term: (fun a b : Prop => b -> a)
DEBUG LTAC Evaluated term: (fun a b : Prop => b -> a)