Goal:
  
  ============================
   (∀ (A B : Type) (R : nat → A → B → Type) (n : nat) 
      (l0 : list A) (l : list B) (a b : All2i R n l0 l),
      NoConfusionHom_All2i A B R n l0 l a b → a = b)


DEBUG:Going to execute:
simpl; intros;
            match goal with
            | H:_ = _ |- _ = _ => try solve_noconf_hom_inv_equiv
            | H:_ = _ |- _ => try solve_noconf_prf
            | |- _ = _ => try solve_noconf_hom_inv
            end