Goal:
  
  A : Type
  sizeA : A → nat
  B : Type
  sizeB : B → nat
  a : A
  l : list A
  f : nat → A → B
  k : nat
  H : ∀ (i : nat) (x : A), sizeB (f i x) = sizeA x
  IHl : ∀ k : nat, list_size sizeB (mapi_rec f l k) = list_size sizeA l
  ============================
   (S (sizeA a + list_size sizeA l) = S (sizeA a + list_size sizeA l))


DEBUG:Going to execute:
intros; Zify.zify_pre_hook; zify_elim_let; zify_op;
            Zify.zify_iter_specs; Zify.zify_to_euclidean_division_equations;
            Zify.zify_post_hook