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[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / computation / lpxs.ma
index 83f2459e82c0ca6244afbb8a733defd75c902f7e..4cf6a28b419414fb3f84b073eb57ee546b3b35e3 100644 (file)
@@ -12,6 +12,7 @@
 (*                                                                        *)
 (**************************************************************************)
 
+include "basic_2/notation/relations/predsnstar_4.ma".
 include "basic_2/reduction/lpx.ma".
 include "basic_2/computation/lprs.ma".
 
@@ -40,10 +41,9 @@ qed-.
 
 (* Basic properties *********************************************************)
 
-axiom lprs_lpxs: ∀h,g,L1,L2. L1 ⊢ ➡* L2 → ⦃h, L1⦄ ⊢ ➡*[g] L2.
-(*
+lemma lprs_lpxs: ∀h,g,L1,L2. L1 ⊢ ➡* L2 → ⦃h, L1⦄ ⊢ ➡*[g] L2.
 /3 width=3/ qed.
-*)
+
 lemma lpx_lpxs: ∀h,g,L1,L2. ⦃h, L1⦄ ⊢ ➡[g] L2 → ⦃h, L1⦄ ⊢ ➡*[g] L2.
 /2 width=1/ qed.