Goal:
  
  A : Type
  B : Type
  R : A → B → Type
  R' : ∀ (a : A) (b : B), R a b → Type
  x : A
  y : B
  l : list A
  l' : list B
  r : R x y
  rs : All2 R l l'
  r0 : R' x y r
  a0 : All2_dep R' rs
  b0 : All2_dep R' (All2_cons r rs)
  b : sigma
        (λ index : sigma (λ xs : list A, sigma (λ ys : list B, All2 R xs ys)),
           All2_dep R' (pr2 (pr2 index)))
  ============================
   ({|
      pr1 :=
        {|
          pr1 := x :: l; pr2 := {| pr1 := y :: l'; pr2 := All2_cons r rs |}
        |};
      pr2 := b0
    |} = b
    → let H := CoreTactics.block in
      NoConfusionHom_All2_dep A B R R' (x :: l) (y :: l') 
        (All2_cons r rs) (All2_dep_cons r0 a0) b0
      → let H0 := CoreTactics.block in All2_dep_cons r0 a0 = b0)


DEBUG:Going to execute:
let xn := fresh id "'" in
           destruct id as [xn id]; DepElim.decompose_exists xn id;
            cbv beta iota delta [TODO projection TODO projection] in id, id';
            DepElim.decompose_exists id id'
DEBUG LTAC Evaluated term: b
DEBUG LTAC Evaluated term: (sigma
                              (λ index : sigma
                                           (λ xs : list A,
                                              sigma
                                                (λ ys : list B, All2 R xs ys)),
                                 All2_dep R' (pr2 (pr2 index))))
Level 4: type of id
 has value 
(sigma
   (λ index : sigma (λ xs : list A, sigma (λ ys : list B, All2 R xs ys)),
      All2_dep R' (pr2 (pr2 index))))