Goal:
  
  A : Type
  P : list A → list A → A → A → Type
  Q : list A → list A → A → A → Type
  d : A
  d' : A
  Γ : list A
  Γ' : list A
  X : All2_fold P Γ Γ'
  p : P Γ Γ' d d'
  IHX : All2_fold Q Γ Γ'
        → All2_fold (λ (Γ Δ : list A) (x y : A), P Γ Δ x y × Q Γ Δ x y) Γ Γ'
  h : All2_fold Q (d :: Γ) (d' :: Γ')
  ============================
   (let H := CoreTactics.block in
    let H0 := CoreTactics.block in
    All2_fold (λ (Γ Δ : list A) (x y : A), P Γ Δ x y × Q Γ Δ x y) 
      (d :: Γ) (d' :: Γ'))


DEBUG:Going to execute:
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