]> matita.cs.unibo.it Git - helm.git/blobdiff - matita/matita/contribs/lambdadelta/basic_2/rt_computation/fpbg_cpxs.ma
update in basic_2 and ground_2
[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_computation / fpbg_cpxs.ma
index 960979cacf79260f21ae07797cbfbd18e612c255..e70619a8d9742df72fc7cec6c60a23711bfbc3dc 100644 (file)
 
 include "basic_2/rt_computation/cpxs_tdeq.ma".
 include "basic_2/rt_computation/fpbs_cpxs.ma".
-include "basic_2/rt_computation/fpbg.ma".
+include "basic_2/rt_computation/fpbg_fpbs.ma".
 
 (* PROPER PARALLEL RST-COMPUTATION FOR CLOSURES *****************************)
 
 (* Properties with unbound context-sensitive parallel rt-computation ********)
 
 (* Basic_2A1: was: cpxs_fpbg *)
-lemma cpxs_tdneq_fpbg: ∀h,o,G,L,T1,T2. ⦃G, L⦄ ⊢ T1 ⬈*[h] T2 →
-                       (T1 ≛[h, o] T2 → ⊥) → ⦃G, L, T1⦄ >[h, o] ⦃G, L, T2⦄.
+lemma cpxs_tdneq_fpbg (h) (o): ∀G,L,T1,T2. ⦃G, L⦄ ⊢ T1 ⬈*[h] T2 →
+                               (T1 ≛[h, o] T2 → ⊥) → ⦃G, L, T1⦄ >[h, o] ⦃G, L, T2⦄.
 #h #o #G #L #T1 #T2 #H #H0
 elim (cpxs_tdneq_fwd_step_sn … H … H0) -H -H0
 /4 width=5 by cpxs_tdeq_fpbs, fpb_cpx, ex2_3_intro/
 qed.
+
+lemma cpxs_fpbg_trans (h) (o): ∀G1,L1,T1,T. ⦃G1, L1⦄ ⊢ T1 ⬈*[h] T →
+                               ∀G2,L2,T2. ⦃G1, L1, T⦄ >[h, o] ⦃G2, L2, T2⦄ → ⦃G1, L1, T1⦄ >[h, o] ⦃G2, L2, T2⦄.
+/3 width=5 by fpbs_fpbg_trans, cpxs_fpbs/ qed-.