Goal:
  
  A : Type
  P : list A → list A → A → A → Type
  idx0 : list A
  idx : list A
  a : All2_fold P idx0 idx
  idx2 : list A
  idx1 : list A
  b : All2_fold P (pr1 {| pr1 := idx2; pr2 := idx1 |})
        (pr2 {| pr1 := idx2; pr2 := idx1 |})
  e : NoConfusion_All2_fold A P
        {| pr1 := {| pr1 := idx0; pr2 := idx |}; pr2 := a |}
        {| pr1 := {| pr1 := idx2; pr2 := idx1 |}; pr2 := b |}
  ============================
   (noConfusion_All2_fold_obligation_2 A P
      {| pr1 := {| pr1 := idx0; pr2 := idx |}; pr2 := a |}
      {| pr1 := {| pr1 := idx2; pr2 := idx1 |}; pr2 := b |}
      (noConfusion_All2_fold_obligation_1 A P
         {| pr1 := {| pr1 := idx0; pr2 := idx |}; pr2 := a |}
         {| pr1 := {| pr1 := idx2; pr2 := idx1 |}; pr2 := b |} e) = e)


DEBUG:Going to execute:
type of id