]> matita.cs.unibo.it Git - helm.git/blobdiff - matita/matita/contribs/lambdadelta/basic_2/rt_computation/fpbg_cpxs.ma
milestone update in basic_2, update in ground and static_2
[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_computation / fpbg_cpxs.ma
index e12dae65165469a9d5281df9bbe4d35f34bfadb5..335243516c00f64ee75497c00c05cfc9e0520fba 100644 (file)
@@ -18,16 +18,18 @@ include "basic_2/rt_computation/fpbg_fpbs.ma".
 
 (* PROPER PARALLEL RST-COMPUTATION FOR CLOSURES *****************************)
 
-(* Properties with unbound context-sensitive parallel rt-computation ********)
+(* Properties with extended context-sensitive parallel rt-computation *******)
 
 (* Basic_2A1: was: cpxs_fpbg *)
-lemma cpxs_tneqx_fpbg (h): ∀G,L,T1,T2. ❪G,L❫ ⊢ T1 ⬈*[h] T2 →
-                           (T1 ≛ T2 → ⊥) → ❪G,L,T1❫ >[h] ❪G,L,T2❫.
-#h #G #L #T1 #T2 #H #H0
+lemma cpxs_tneqx_fpbg:
+      ∀G,L,T1,T2. ❪G,L❫ ⊢ T1 ⬈* T2 →
+      (T1 ≛ T2 → ⊥) → ❪G,L,T1❫ > ❪G,L,T2❫.
+#G #L #T1 #T2 #H #H0
 elim (cpxs_tneqx_fwd_step_sn … H … H0) -H -H0
 /4 width=5 by cpxs_teqx_fpbs, fpb_cpx, ex2_3_intro/
 qed.
 
-lemma cpxs_fpbg_trans (h): ∀G1,L1,T1,T. ❪G1,L1❫ ⊢ T1 ⬈*[h] T →
-                           ∀G2,L2,T2. ❪G1,L1,T❫ >[h] ❪G2,L2,T2❫ → ❪G1,L1,T1❫ >[h] ❪G2,L2,T2❫.
+lemma cpxs_fpbg_trans:
+      ∀G1,L1,T1,T. ❪G1,L1❫ ⊢ T1 ⬈* T →
+      ∀G2,L2,T2. ❪G1,L1,T❫ > ❪G2,L2,T2❫ → ❪G1,L1,T1❫ > ❪G2,L2,T2❫.
 /3 width=5 by fpbs_fpbg_trans, cpxs_fpbs/ qed-.