update in basic_2

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_transition / lfpx_fsle.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/lfpx_fsle.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/lfpx_fsle.ma
index 71f1c41d4760ccc91c6ebdd95a7c0869016470f1..58fcbf3075b6bc7d89778bfed9978c22e859c178 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/lfpx_fsle.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/lfpx_fsle.ma
@@ -24,7 +24,6 @@ include "basic_2/rt_transition/lfpx_fqup.ma".
 (* Note: "⦃L2, T1⦄ ⊆ ⦃L2, T0⦄" does not hold *)
 (* Note: Take L0 = K0.ⓓ(ⓝW.V), L2 = K0.ⓓW, T0 = #0, T1 = ⬆*[1]V *)
 (* Note: This invalidates lfpxs_cpx_conf: "∀h,G. s_r_confluent1 … (cpx h G) (lfpxs h G)" *)
-(* Note: "⦃L2, T1⦄ ⊆ ⦃L0, T1⦄" may not hold *)
 (* Basic_2A1: uses: lpx_cpx_frees_trans *)
 lemma lfpx_cpx_conf_fsge: ∀h,G,L0,T0,T1. ⦃G, L0⦄ ⊢ T0 ⬈[h] T1 →
                           ∀L2. ⦃G, L0⦄ ⊢⬈[h, T0] L2 → ⦃L2, T1⦄ ⊆ ⦃L0, T0⦄.
@@ -132,3 +131,7 @@ lemma cpx_lfxs_conf: ∀R,h,G. s_r_confluent1 … (cpx h G) (lfxs R).
 
 lemma lfpx_cpx_conf: ∀h,G. s_r_confluent1 … (cpx h G) (lfpx h G).
 /2 width=5 by cpx_lfxs_conf/ qed-.
+
+lemma lfpx_cpx_conf_fsge_dx: ∀h,G,L0,T0,T1. ⦃G, L0⦄ ⊢ T0 ⬈[h] T1 →
+                             ∀L2. ⦃G, L0⦄ ⊢⬈[h, T0] L2 → ⦃L2, T1⦄ ⊆ ⦃L0, T1⦄.
+/3 width=5 by lfpx_cpx_conf, lfpx_fsge_comp/ qed-.