Goal:
  
  A : Type
  P : list A → list A → A → A → Type
  d : A
  d' : A
  Γ : list A
  Γ' : list A
  a : All2_fold P Γ Γ'
  p : P Γ Γ' d d'
  ============================
   (∀ (H := CoreTactics.block) (e : NoConfusion_All2_fold A P
                                      {|
                                        pr1 :=
                                          {|
                                            pr1 := d :: Γ; pr2 := d' :: Γ'
                                          |};
                                        pr2 := All2_fold_cons P a p
                                      |}
                                      {|
                                        pr1 := {| pr1 := []; pr2 := [] |};
                                        pr2 := All2_fold_nil P
                                      |}),
      let H0 := CoreTactics.block in
      noConfusion_All2_fold_obligation_2 A P
        {|
          pr1 := {| pr1 := d :: Γ; pr2 := d' :: Γ' |};
          pr2 := All2_fold_cons P a p
        |} {| pr1 := {| pr1 := []; pr2 := [] |}; pr2 := All2_fold_nil P |}
        (noConfusion_All2_fold_obligation_1 A P
           {|
             pr1 := {| pr1 := d :: Γ; pr2 := d' :: Γ' |};
             pr2 := All2_fold_cons P a p
           |} {| pr1 := {| pr1 := []; pr2 := [] |}; pr2 := All2_fold_nil P |}
           e) = e)


DEBUG:Going to execute:
match goal with
           | |- context [ rew <- [_] eq_refl in _ ] =>
                 progress simpl eq_rect_r
           | |- context [ rew [_] eq_refl in _ ] => progress simpl eq_rect
           | |- context [ Prop.Logic.transport _ eq_refl _ ] =>
                 progress simpl Prop.Logic.transport
           | |- context [ Logic.eq_elim _ _ _ _ _ eq_refl ] =>
                 progress simpl eq_rect
           | |- context [ Logic.eq_elim_r _ _ _ _ eq_refl ] =>
                 progress simpl Logic.eq_elim_r
           | |- context [ noConfusion_inv _ ] =>
                 progress simpl noConfusion_inv
           | |- DepElim.opaque_ind_pack_eq_inv ?G eq_refl =>
                 apply (DepElim.simplify_ind_pack_inv B x p G)
           | |- let _ := CoreTactics.block in _ => fail 1
           | |- _ => simplify * || simplify ?; cbv beta
           | |- _ → ?B =>
                 let ty := type of B in
                 intro || (let H := fresh in
                           intro
                           H)
           | |- ∀ x, _ => let H := fresh x in
                          intro
                          H
           | |- _ => intro
           end