Goal:
  
  A : Type
  B : Type
  R : nat → A → B → Type
  n : nat
  x : A
  y : B
  l : list A
  r : list B
  r0 : R n x y
  a : All2i R (S n) l r
  b0 : All2i R n (x :: l) (y :: r)
  b'' : nat
  x0 : A
  y0 : B
  l0 : list A
  r1 : list B
  r2 : R b'' x0 y0
  b : All2i R (S b'') l0 r1
  ============================
   ({|
      pr1 := {| pr1 := n; pr2 := {| pr1 := x :: l; pr2 := y :: r |} |};
      pr2 := b0
    |} =
    {|
      pr1 := {| pr1 := b''; pr2 := {| pr1 := x0 :: l0; pr2 := y0 :: r1 |} |};
      pr2 := All2i_cons r2 b
    |}
    → ∀ (H := CoreTactics.block) (e : NoConfusionHom_All2i A B R n 
                                        (x :: l) (y :: r) 
                                        (All2i_cons r0 a) b0),
        let H0 := CoreTactics.block in
        noConfusionHom_All2i_obligation_2 A B R n 
          (x :: l) (y :: r) (All2i_cons r0 a) b0
          (noConfusionHom_All2i_obligation_1 A B R n 
             (x :: l) (y :: r) (All2i_cons r0 a) b0 e) = e)


DEBUG:Going to execute:
simplify * || simplify ?; cbv beta