Goal:
  
  A : Type
  B : Type
  C : Type
  D : Type
  E : Type
  P : E → A → Type
  Q : C → A → Type
  R : B → D → Type
  f : B → C → E
  b : B
  l : list B
  l''' : list D
  hb : All2 R (b :: l) l'''
  ============================
   (∀ (H := CoreTactics.block) (x : C) (y : A) (l0 : list C) (l' : list A),
      Q x y
      → All2 Q l0 l'
        → #|l| = #|l0|
          → (∀ (x0 : B) (y0 : C) (z : A) (w : D),
               R x0 w → Q y0 z → P (f x0 y0) z)
            → (∀ (l : list B) (l''' : list D),
                 All2 R l l''' → #|l| = #|l0| → All2 P (map2 f l l0) l')
              → let H0 := CoreTactics.block in
                All2 P (map2 f (b :: l) (x :: l0)) (y :: l'))


DEBUG:Going to execute:
fun id cont =>
             let id' := fresh id in
             get_signature_pack id id'; hnf in (value of id');
              hnf in (type of id');
              lazymatch goal with
              | id':=?v:_
                |- context [ id ] =>
                    generalize (eq_refl : v = id'); clearbody id';
                     simpl in id'; cont id id' id v
              | id':=?v:_
                |- _ =>
                    let id'1 := fresh id' in
                    let id'2 := fresh id' in
                    set (id'2 := pr2 id'); set (id'1 := pr1 id') in id'2;
                     hnf in (value of id'1), (value of id'2);
                     try red in (type of id'2);
                     match goal with
                     | id'1:=?t:_
                       |- _ =>
                           generalize (eq_refl : t = id'1); clearbody id'2
                            id'1; clear id' id; try unfold signature in id'2;
                            hnf in id'2; simpl in id'2; rename id'2 into id;
                            cont id id id'1 t
                     end
              end