- full commit for the transtive closure of ltpss!

[helm.git] / matita / matita / contribs / lambda_delta / basic_2 / reducibility / lcpr.ma

diff --git a/matita/matita/contribs/lambda_delta/basic_2/reducibility/lcpr.ma b/matita/matita/contribs/lambda_delta/basic_2/reducibility/lcpr.ma
index 80d14a2e516f5e62a0befb1cccc3def5027f7fb5..ed93e5cf903b222efeb6dd90ae7579a661602ef1 100644 (file)
--- a/matita/matita/contribs/lambda_delta/basic_2/reducibility/lcpr.ma
+++ b/matita/matita/contribs/lambda_delta/basic_2/reducibility/lcpr.ma
@@ -12,13 +12,13 @@
 (*                                                                        *)
 (**************************************************************************)
 
-include "Basic_2/unfold/ltpss.ma".
-include "Basic_2/reducibility/ltpr.ma".
+include "basic_2/unfold/ltpss_sn.ma".
+include "basic_2/reducibility/ltpr.ma".
 
 (* CONTEXT-SENSITIVE PARALLEL REDUCTION ON LOCAL ENVIRONMENTS *************)
 
 definition lcpr: relation lenv ≝
-   λL1,L2. ∃∃L. L1 ➡ L & L [0, |L|] ▶* L2
+   λL1,L2. ∃∃L. L1 ➡ L & L ⊢ ▶* [0, |L|] L2
 .
 
 interpretation
@@ -30,8 +30,11 @@ interpretation
 lemma lcpr_refl: ∀L. L ⊢ ➡ L.
 /2 width=3/ qed.
 
+lemma ltpss_sn_lcpr: ∀L1,L2,d,e. L1 ⊢ ▶* [d, e] L2 → L1 ⊢ ➡ L2.
+/3 width=5/ qed.
+
 (* Basic inversion lemmas ***************************************************)
 
 lemma lcpr_inv_atom1: ∀L2. ⋆ ⊢ ➡ L2 → L2 = ⋆.
-#L2 * #L #HL >(ltpr_inv_atom1 … HL) -HL #HL2 >(ltpss_inv_atom1 … HL2) -HL2 //
+#L2 * #L #HL >(ltpr_inv_atom1 … HL) -HL #HL2 >(ltpss_sn_inv_atom1 … HL2) -HL2 //
 qed-.