X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;ds=sidebyside;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fcomputation%2Fcpxs_lleq.ma;h=7a566659321049be124f35c36e2e3775cfeeabf5;hb=0733a61e7b3a0f6173b403e3bfc2257b725b44f2;hp=be7ba8161a23e9d04bfac01745704939d2260090;hpb=2af0c3e5f243f40b4a59633814b8de5254cb36ab;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/basic_2/computation/cpxs_lleq.ma b/matita/matita/contribs/lambdadelta/basic_2/computation/cpxs_lleq.ma
index be7ba8161..7a5666593 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/computation/cpxs_lleq.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/computation/cpxs_lleq.ma
@@ -12,7 +12,7 @@
 (*                                                                        *)
 (**************************************************************************)
 
-include "basic_2/reduction/lpx_leq.ma".
+include "basic_2/reduction/cpx_lleq.ma".
 include "basic_2/computation/cpxs.ma".
 
 (* CONTEXT-SENSITIVE EXTENDED PARALLEL COMPUTATION ON TERMS *****************)
@@ -20,7 +20,16 @@ include "basic_2/computation/cpxs.ma".
 (* Properties on lazy equivalence for local environments ********************)
 
 lemma lleq_cpxs_trans: ∀h,g,G,L2,T1,T2. ⦃G, L2⦄ ⊢ T1 ➡*[h, g] T2 →
-                       ∀L1. L1 ⋕[0, T1] L2 → ⦃G, L1⦄ ⊢ T1 ➡*[h, g] T2.
+                       ∀L1. L1 ⋕[T1, 0] L2 → ⦃G, L1⦄ ⊢ T1 ➡*[h, g] T2.
 #h #g #G #L2 #T1 #T2 #H @(cpxs_ind_dx … H) -T1
 /4 width=6 by lleq_cpx_conf_dx, lleq_cpx_trans, cpxs_strap2/
 qed-.
+
+lemma lleq_cpxs_conf_dx: ∀h,g,G,L2,T1,T2. ⦃G, L2⦄ ⊢ T1 ➡*[h, g] T2 →
+                         ∀L1. L1 ⋕[T1, 0] L2 → L1 ⋕[T2, 0] L2.
+#h #g #G #L2 #T1 #T2 #H @(cpxs_ind … H) -T2 /3 width=6 by lleq_cpx_conf_dx/
+qed-.
+
+lemma lleq_cpxs_conf_sn: ∀h,g,G,L1,T1,T2. ⦃G, L1⦄ ⊢ T1 ➡*[h, g] T2 →
+                         ∀L2. L1 ⋕[T1, 0] L2 → L1 ⋕[T2, 0] L2.
+/4 width=6 by lleq_cpxs_conf_dx, lleq_sym/ qed-.