]> matita.cs.unibo.it Git - helm.git/blobdiff - matita/matita/contribs/lambdadelta/basic_2/rt_transition/lpx_fsle.ma
some restyling ...
[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_transition / lpx_fsle.ma
index 7773a081ebd944614f6c7cdeaaa83c6cf8edfea7..ed31446250d2530f7181bd3d257ab8b1c95dd224 100644 (file)
 (*                                                                        *)
 (**************************************************************************)
 
-include "basic_2/rt_transition/lfpx_lpx.ma".
+include "basic_2/rt_transition/rpx_lpx.ma".
 
 (* UNBOUND PARALLEL RT-TRANSITION FOR FULL LOCAL ENVIRONMENTS ***************)
 
 (* Forward lemmas with free variables inclusion for restricted closures *****)
 
 (* Basic_2A1: uses: lpx_cpx_frees_trans *)
-lemma lpx_cpx_conf_fsge (h) (G): ∀L0,T0,T1. ⦃G, L0⦄ ⊢ T0 ⬈[h] T1 →
-                                 ∀L2. ⦃G, L0⦄ ⊢ ⬈[h] L2 → ⦃L2, T1⦄ ⊆ ⦃L0, T0⦄.
-/3 width=4 by lfpx_cpx_conf_fsge, lpx_lfpx/ qed-.
+lemma lpx_cpx_conf_fsge (h) (G): ∀L0,T0,T1. ⦃G,L0⦄ ⊢ T0 ⬈[h] T1 →
+                                 ∀L2. ⦃G,L0⦄ ⊢ ⬈[h] L2 → ⦃L2,T1⦄ ⊆ ⦃L0,T0⦄.
+/3 width=4 by rpx_cpx_conf_fsge, lpx_rpx/ qed-.
 
 (* Basic_2A1: uses: lpx_frees_trans *)
-lemma lpx_fsge_comp (h) (G): ∀L0,L2,T0. ⦃G, L0⦄ ⊢ ⬈[h] L2 → ⦃L2, T0⦄ ⊆ ⦃L0, T0⦄.
+lemma lpx_fsge_comp (h) (G): ∀L0,L2,T0. ⦃G,L0⦄ ⊢ ⬈[h] L2 → ⦃L2,T0⦄ ⊆ ⦃L0,T0⦄.
 /2 width=4 by lpx_cpx_conf_fsge/ qed-.