Goal:
  
  A : Type
  B : Type
  C : Type
  R : A → C → Type
  g : A → B → C
  x : A
  xs : list A
  ih : ∀ l' : list B,
         All2 (λ (x : A) (y : B), R x (g x y)) xs l'
         → All2 R xs (map2 g xs l')
  y : B
  ys : list B
  z1' : list A
  z1 : list B
  z : All2 (λ (x : A) (y : B), R x (g x y)) (pr1 {| pr1 := z1'; pr2 := z1 |})
        (pr2 {| pr1 := z1'; pr2 := z1 |})
  ============================
   ({| pr1 := x :: xs; pr2 := y :: ys |} = {| pr1 := z1'; pr2 := z1 |}
    → let H := CoreTactics.block in
      let H0 := CoreTactics.block in R x (g x y))


DEBUG:Going to execute:
match type of id with
           | sigma _ =>
               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'
           | _ =>
               cbv beta iota delta [TODO projection TODO projection]
                in id, id'
           end