Goal:
  
  A : Type
  B : Type
  P : A → Type
  Q : A → B → Type
  x : A
  l : list A
  p : P x
  H1 : All P l
  H2 : ∀ (x : A) (y : B), In y [] → P x → Q x y
  Hl : 0 = S #|l|
  Hl0 := {| pr1 := S #|l|; pr2 := Hl |} : sigma (λ index : nat, 0 = index)
  Hl1 := S #|l| : nat
  Hl2 := Hl : (λ index : nat, 0 = index) Hl1
  ============================
   (let H := CoreTactics.block in
    (∀ l' : list B,
       (∀ (x : A) (y : B), In y l' → P x → Q x y)
       → #|l'| = #|l| → All2 Q l l')
    → let H0 := CoreTactics.block in All2 Q (x :: l) [])


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