Goal:
  
  A : Type
  l3 : list A
  R1 : A → A → Type
  R2 : A → A → Type
  R3 : A → A → Type
  hd : A
  hd' : A
  tl : list A
  p : R1 hd hd'
  H : All2 R2 (hd :: tl) l3
  H0 := {| pr1 := {| pr1 := hd :: tl; pr2 := l3 |}; pr2 := H |}
     : sigma
         (λ index : sigma (λ _ : list A, list A),
            All2 R2 (pr1 index) (pr2 index))
  ============================
   (let H := CoreTactics.block in
    let H0 := CoreTactics.block in
    (∀ x y : A, R2 x y → R3 x y)
    → (∀ x y z : A, R1 x y → R2 x z → R3 y z) → All2 R3 (hd' :: tl) l3)


DEBUG:Going to execute:
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