update in ground_2 and basic_2 (partial commit)

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_computation / lfpxs_lpxs.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lfpxs_lpxs.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lfpxs_lpxs.ma
index 98f23aff95edd0a7333d1ce205789eda2b1f2fab..aa13ac53a4b3458aaf3a1435bb899182b38be6c3 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lfpxs_lpxs.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lfpxs_lpxs.ma
@@ -13,26 +13,24 @@
 (**************************************************************************)
 
 include "basic_2/i_static/tc_lfxs_lex.ma".
-include "basic_2/rt_transition/lfpx_frees.ma".
+include "basic_2/rt_transition/cpx_lfeq.ma".
+include "basic_2/rt_computation/cpxs_lpx.ma".
 include "basic_2/rt_computation/lpxs.ma".
 include "basic_2/rt_computation/lfpxs.ma".
 
-(* UNCOUNTED PARALLEL RT-COMPUTATION FOR LOCAL ENV.S ON REFERRED ENTRIES ****)
+(* UNBOUND PARALLEL RT-COMPUTATION FOR LOCAL ENV.S ON REFERRED ENTRIES ******)
 
-(* Properties with uncounted parallel rt-computation for local environments *)
+(* Properties with unbound parallel rt-computation for local environments ***)
+
+lemma lfpxs_lpxs: ∀h,G,L1,L2,T. ⦃G, L1⦄ ⊢ ⬈*[h] L2 → ⦃G, L1⦄ ⊢ ⬈*[h, T] L2.
+/2 width=1 by tc_lfxs_lex/ qed.
 
 lemma lfpxs_lpxs_lfeq: ∀h,G,L1,L. ⦃G, L1⦄ ⊢ ⬈*[h] L →
                        ∀L2,T. L ≡[T] L2 → ⦃G, L1⦄ ⊢ ⬈*[h, T] L2.
 /2 width=3 by tc_lfxs_lex_lfeq/ qed.
 
-(* Inversion lemmas with uncounted parallel rt-computation for local envs ***)
-
-lemma lpx_cpxs_ext_trans: ∀h,G. s_rs_transitive_isid cfull (cpx_ext h G).
-#H1 #H2 #H3 #H4 #H5 #H6 #H7 #H8 #H9 #H10
-
+(* Inversion lemmas with unbound parallel rt-computation for local envs *****)
 
-lemma tc_lfxs_inv_lex_lfeq: ∀h,G,L1,L2,T. ⦃G, L1⦄ ⊢ ⬈*[h, T] L2 →
-                            ∃∃L. ⦃G, L1⦄ ⊢ ⬈*[h] L & L ≡[T] L2.
-#h #G @tc_lfxs_inv_lex_lfeq //
-[ @lfpx_frees_conf
-| @lpx_cpxs_ext_trans
\ No newline at end of file
+lemma lfpxs_inv_lpxs_lfeq: ∀h,G,L1,L2,T. ⦃G, L1⦄ ⊢ ⬈*[h, T] L2 →
+                           ∃∃L. ⦃G, L1⦄ ⊢ ⬈*[h] L & L ≡[T] L2.
+/3 width=5 by lfpx_fsge_comp, lpx_cpxs_trans, lfeq_cpx_trans, tc_lfxs_inv_lex_lfeq/ qed-.