Goal:
  
  A : Type
  B : Type
  P : B → A → A → Type
  b0 : B
  bs : list B
  hd : A
  tl : list A
  tl' : list A
  a : OnOne2All P bs tl tl'
  b : B
  bs0 : list B
  hd0 : A
  tl0 : list A
  tl'0 : list A
  b1 : OnOne2All P bs0 tl0 tl'0
  e : {|
        pr1 := b0;
        pr2 :=
          {|
            pr1 := bs;
            pr2 :=
              {|
                pr1 := hd;
                pr2 := {| pr1 := tl; pr2 := {| pr1 := tl'; pr2 := a |} |}
              |}
          |}
      |} =
      {|
        pr1 := b;
        pr2 :=
          {|
            pr1 := bs0;
            pr2 :=
              {|
                pr1 := hd0;
                pr2 := {| pr1 := tl0; pr2 := {| pr1 := tl'0; pr2 := b1 |} |}
              |}
          |}
      |}
  ============================
   (noConfusion_OnOne2All_obligation_2 A B P
      {|
        pr1 :=
          {|
            pr1 := b0 :: bs; pr2 := {| pr1 := hd :: tl; pr2 := hd :: tl' |}
          |};
        pr2 := OnOne2All_tl P b0 bs hd tl tl' a
      |}
      {|
        pr1 :=
          {|
            pr1 := b :: bs0;
            pr2 := {| pr1 := hd0 :: tl0; pr2 := hd0 :: tl'0 |}
          |};
        pr2 := OnOne2All_tl P b bs0 hd0 tl0 tl'0 b1
      |}
      (noConfusion_OnOne2All_obligation_1 A B P
         {|
           pr1 :=
             {|
               pr1 := b0 :: bs;
               pr2 := {| pr1 := hd :: tl; pr2 := hd :: tl' |}
             |};
           pr2 := OnOne2All_tl P b0 bs hd tl tl' a
         |}
         {|
           pr1 :=
             {|
               pr1 := b :: bs0;
               pr2 := {| pr1 := hd0 :: tl0; pr2 := hd0 :: tl'0 |}
             |};
           pr2 := OnOne2All_tl P b bs0 hd0 tl0 tl'0 b1
         |} e) = e)


DEBUG:Going to execute:
let rhs := fresh in
           set (rhs := y) in *; pattern sigma rhs; clearbody rhs; destruct H;
            simpl
DEBUG LTAC Evaluated term: e
DEBUG LTAC Evaluated term: ({|
                              pr1 := b0;
                              pr2 :=
                                {|
                                  pr1 := bs;
                                  pr2 :=
                                    {|
                                      pr1 := hd;
                                      pr2 :=
                                        {|
                                          pr1 := tl;
                                          pr2 := {| pr1 := tl'; pr2 := a |}
                                        |}
                                    |}
                                |}
                            |} =
                            {|
                              pr1 := b;
                              pr2 :=
                                {|
                                  pr1 := bs0;
                                  pr2 :=
                                    {|
                                      pr1 := hd0;
                                      pr2 :=
                                        {|
                                          pr1 := tl0;
                                          pr2 := {| pr1 := tl'0; pr2 := b1 |}
                                        |}
                                    |}
                                |}
                            |})
Level 6: type of H
 has value 
({|
   pr1 := b0;
   pr2 :=
     {|
       pr1 := bs;
       pr2 :=
         {|
           pr1 := hd;
           pr2 := {| pr1 := tl; pr2 := {| pr1 := tl'; pr2 := a |} |}
         |}
     |}
 |} =
 {|
   pr1 := b;
   pr2 :=
     {|
       pr1 := bs0;
       pr2 :=
         {|
           pr1 := hd0;
           pr2 := {| pr1 := tl0; pr2 := {| pr1 := tl'0; pr2 := b1 |} |}
         |}
     |}
 |})