X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_computation%2Flfpxs_lpxs.ma;h=79b41f785807c24e5a94485bc426ce22da2fc5fe;hb=f7296f9cf2ee73465a374942c46b138f35c42ccb;hp=93118b9a0e24e4dce3511d8922864f7179850ed2;hpb=9323611e3819c1382b872a7ada00264991f36217;p=helm.git

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 93118b9a0..79b41f785 100644
--- 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 →
                        ∀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 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_fle_comp, 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-.