Goal:
  
  A : Type
  P : A → A → Type
  hd : A
  hd' : A
  tl : list A
  p : P hd hd'
  hd0 : A
  tl0 : list A
  tl' : list A
  b : OnOne2 P tl0 tl'
  H : False
  ============================
   ({|
      pr1 := {| pr1 := hd :: tl; pr2 := hd' :: tl |};
      pr2 := OnOne2_hd P hd hd' tl p
    |} =
    {|
      pr1 := {| pr1 := hd0 :: tl0; pr2 := hd0 :: tl' |};
      pr2 := OnOne2_tl P hd0 tl0 tl' b
    |})


DEBUG:Going to execute:
fun H =>
             match type of H with
             | ?R ?x ?y =>
                 let rhs := fresh in
                 set (rhs := y) in *; pattern sigma rhs; clearbody rhs;
                  destruct H; simpl
             end