Goal:
  
  A : Type
  H : ReflectEq A
  a1 : A
  l1 : list A
  a2 : A
  l2 : list A
  prefix : list A
  l1' : list A
  l2' : list A
  ============================
   (split_prefix l1 l2 = (prefix, l1', l2')
    → (∀ (H := CoreTactics.block) (l3 l4 : list A),
         {| pr1 := l1; pr2 := l2 |} = {| pr1 := l3; pr2 := l4 |}
         → split_prefix l1 l2 = split_prefix l3 l4
           → let H0 := CoreTactics.block in
             let
             '(prefix, l1', l2') := split_prefix l3 l4 in
              l3 = prefix ++ l1' ∧ l4 = prefix ++ l2')
      → (a1 == a2) = true
        → ∀ (H := CoreTactics.block) (l3 l4 : list A),
            {| pr1 := a1 :: l1; pr2 := a2 :: l2 |} =
            {| pr1 := l3; pr2 := l4 |}
            → (a1 :: prefix, l1', l2') = split_prefix l3 l4
              → let H0 := CoreTactics.block in
                let
                '(prefix, l1', l2') := split_prefix l3 l4 in
                 l3 = prefix ++ l1' ∧ l4 = prefix ++ l2')


DEBUG:Going to execute:
match goal with
           | |- context [ eq_rect_r _ _ eq_refl ] => progress simpl eq_rect_r
           | |- context [ eq_rect _ _ _ _ eq_refl ] => 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