Goal:
  
  A : Type
  B : Type
  R : A → B → Type
  R' : ∀ (a : A) (b : B), R a b → Type
  b0 : All2_dep R' All2_nil
  b' : sigma (λ xs : list A, sigma (λ ys : list B, All2 R xs ys))
  b : All2_dep R' (pr2 (pr2 b'))
  ============================
   ({|
      pr1 := {| pr1 := []; pr2 := {| pr1 := []; pr2 := All2_nil |} |};
      pr2 := b0
    |} = {| pr1 := b'; pr2 := b |}
    → let H := CoreTactics.block in
      NoConfusionHom_All2_dep A B R R' [] [] All2_nil All2_dep_nil b0
      → let H0 := CoreTactics.block in All2_dep_nil = 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 xs : list A,
                                 sigma (λ ys : list B, All2 R xs ys)))
Level 5: type of id
 has value 
(sigma (λ xs : list A, sigma (λ ys : list B, All2 R xs ys)))