update in basic_2 + web page

[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 7839a4b3d4e2423b8031835b31c326e7e6d2a6d4..21beea53bf176b66b4e92bef5f43cc3f44be5d06 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
@@ -22,12 +22,15 @@ include "basic_2/rt_computation/lfpxs.ma".
 
 (* Properties with uncounted 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 →
-                       â\88\80L2,T. L â\89¡[T] L2 → ⦃G, L1⦄ ⊢ ⬈*[h, T] L2.
+                       â\88\80L2,T. L â\89\90[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 tc_lfxs_inv_lex_lfeq: ∀h,G,L1,L2,T. ⦃G, L1⦄ ⊢ ⬈*[h, T] L2 →
-                            ∃∃L. ⦃G, L1⦄ ⊢ ⬈*[h] L & L ≡[T] L2.
-/3 width=5 by lfpx_frees_conf, lpx_cpxs_trans, lfeq_cpx_trans, tc_lfxs_inv_lex_lfeq/ qed-.
+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-.