Goal:
  
  A : Type
  B : Type
  k : nat
  Q : nat → A → Type
  R : nat → A → B → Type
  l : list A
  l' : list B
  n : nat
  q : Alli Q n []
  q0 := {| pr1 := {| pr1 := n; pr2 := [] |}; pr2 := q |}
     : sigma
         (λ index : sigma (λ _ : nat, list A), Alli Q (pr1 index) (pr2 index))
  q1 := {| pr1 := n; pr2 := [] |} : sigma (λ _ : nat, list A)
  q2 := q
     : (λ index : sigma (λ _ : nat, list A), Alli Q (pr1 index) (pr2 index))
         q1
  ============================
   (let H := CoreTactics.block in
    let H0 := CoreTactics.block in
    All2i (λ (i : nat) (x : A) (y : B), Q i x × R i x y) n [] [])


DEBUG:Going to execute:
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