Goal:
  
  A : Type
  P : list A → A → Type
  l : list A
  a : All_fold P l
  b : All_fold P l
  e : a = b
  ============================
   (noConfusionHom_All_fold_obligation_1 A P l a b
      (noConfusionHom_All_fold_obligation_2 A P l a b e) = e)


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