Goal:
  
  A : Type
  P : nat → A → A → Type
  i : nat
  hd : A
  tl : list A
  tl' : list A
  a : OnOne2i P (S i) tl tl'
  i0 : nat
  hd0 : A
  tl0 : list A
  tl'0 : list A
  b : OnOne2i P (S i0) tl0 tl'0
  e : {|
        pr1 := i;
        pr2 :=
          {|
            pr1 := hd;
            pr2 := {| pr1 := tl; pr2 := {| pr1 := tl'; pr2 := a |} |}
          |}
      |} =
      {|
        pr1 := i0;
        pr2 :=
          {|
            pr1 := hd0;
            pr2 := {| pr1 := tl0; pr2 := {| pr1 := tl'0; pr2 := b |} |}
          |}
      |}
  ============================
   (noConfusion_OnOne2i_obligation_2 A P
      {|
        pr1 := {| pr1 := i; pr2 := {| pr1 := hd :: tl; pr2 := hd :: tl' |} |};
        pr2 := OnOne2i_tl P i hd tl tl' a
      |}
      {|
        pr1 :=
          {| pr1 := i0; pr2 := {| pr1 := hd0 :: tl0; pr2 := hd0 :: tl'0 |} |};
        pr2 := OnOne2i_tl P i0 hd0 tl0 tl'0 b
      |}
      (noConfusion_OnOne2i_obligation_1 A P
         {|
           pr1 :=
             {| pr1 := i; pr2 := {| pr1 := hd :: tl; pr2 := hd :: tl' |} |};
           pr2 := OnOne2i_tl P i hd tl tl' a
         |}
         {|
           pr1 :=
             {|
               pr1 := i0; pr2 := {| pr1 := hd0 :: tl0; pr2 := hd0 :: tl'0 |}
             |};
           pr2 := OnOne2i_tl P i0 hd0 tl0 tl'0 b
         |} e) = e)


DEBUG:Going to execute:
set (rhs := y) in *; pattern sigma rhs; clearbody rhs; destruct H;
            simpl