#[warning="-notation-incompatible-prefix"]
    Local Notation "R *" := (clos_refl_trans R)
      (at level 8, no associativity, format "R *").

Lemma clos_refl_trans_ind_left : forall (x:A) (P:A -> Prop), P x -> (forall y z:A, clos_refl_trans R x y -> P y -> R y z -> P z) -> forall z:A, clos_refl_trans R x z -> P z.