X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_computation%2Flpxs_aaa.ma;h=a8f73eac90af7cde4e93c599b523b9b20d370c05;hb=3c7b4071a9ac096b02334c1d47468776b948e2de;hp=0dfdd95e286f32a90b52aa1e70df34052da1020e;hpb=e9f96fa56226dfd74de214c89d827de0c5018ac7;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lpxs_aaa.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lpxs_aaa.ma
index 0dfdd95e2..a8f73eac9 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lpxs_aaa.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lpxs_aaa.ma
@@ -12,19 +12,16 @@
 (*                                                                        *)
 (**************************************************************************)
 
-include "basic_2/reduction/lpx_aaa.ma".
-include "basic_2/computation/lpxs.ma".
+include "basic_2/rt_transition/lpx_aaa.ma".
+include "basic_2/rt_computation/lpxs_lpx.ma".
 
-(* SN EXTENDED PARALLEL COMPUTATION ON LOCAL ENVIRONMENTS *******************)
+(* EXTENDED PARALLEL RT-COMPUTATION FOR FULL LOCAL ENVIRONMENTS *************)
 
-(* Properties about atomic arity assignment on terms ************************)
+(* Properties with atomic arity assignment for terms ************************)
 
-lemma lpxs_aaa_conf: ∀h,o,G,L1,T,A. ⦃G, L1⦄ ⊢ T ⁝ A →
-                     ∀L2. ⦃G, L1⦄ ⊢ ➡*[h, o] L2 → ⦃G, L2⦄ ⊢ T ⁝ A.
-#h #o #G #L1 #T #A #HT #L2 #HL12
-@(TC_Conf3 … (λL,A. ⦃G, L⦄ ⊢ T ⁝ A) … HT ? HL12) /2 width=5 by lpx_aaa_conf/
+lemma lpxs_aaa_conf (G) (T):
+      Conf3 … (λL. aaa G L T) (lpxs G).
+#G #T #A #L1 #HT #L2 #H
+lapply (lex_inv_CTC … H) -H //
+@TC_Conf3 [4: // |*: /2 width=4 by lpx_aaa_conf/ ]
 qed-.
-
-lemma lprs_aaa_conf: ∀G,L1,T,A. ⦃G, L1⦄ ⊢ T ⁝ A →
-                     ∀L2. ⦃G, L1⦄ ⊢ ➡* L2 → ⦃G, L2⦄ ⊢ T ⁝ A.
-/3 width=5 by lprs_lpxs, lpxs_aaa_conf/ qed-.