]> matita.cs.unibo.it Git - helm.git/blobdiff - matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpx_lsubr.ma
milestone update in basic_2, update in ground and static_2
[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_transition / cpx_lsubr.ma
index ecc4cf82ede84bda9145c55de9196876985581fb..42fd64fa1888d311a14c6611fa4fea377521cea2 100644 (file)
 include "basic_2/rt_transition/cpg_lsubr.ma".
 include "basic_2/rt_transition/cpx.ma".
 
-(* UNBOUND CONTEXT-SENSITIVE PARALLEL RT-TRANSITION FOR TERMS ***************)
+(* EXTENDED CONTEXT-SENSITIVE PARALLEL RT-TRANSITION FOR TERMS **************)
 
 (* Properties with restricted refinement for local environments *************)
 
-lemma lsubr_cpx_trans (h) (G): lsub_trans … (cpx h G) lsubr.
-#h #G #L1 #T1 #T2 * /3 width=4 by lsubr_cpg_trans, ex_intro/
+lemma lsubr_cpx_trans (G): lsub_trans … (cpx G) lsubr.
+#G #L1 #T1 #T2 * /3 width=4 by lsubr_cpg_trans, ex_intro/
 qed-.
 
-lemma cpx_bind_unit (h) (G): ∀L,V1,V2. ❪G,L❫ ⊢ V1 ⬈[h] V2 →
-                             ∀J,T1,T2. ❪G,L.ⓤ[J]❫ ⊢ T1 ⬈[h] T2 →
-                             ∀p,I. ❪G,L❫ ⊢ ⓑ[p,I]V1.T1 ⬈[h] ⓑ[p,I]V2.T2.
+lemma cpx_bind_unit (G) (L):
+      ∀V1,V2. ❪G,L❫ ⊢ V1 ⬈ V2 →
+      ∀J,T1,T2. ❪G,L.ⓤ[J]❫ ⊢ T1 ⬈ T2 →
+      ∀p,I. ❪G,L❫ ⊢ ⓑ[p,I]V1.T1 ⬈ ⓑ[p,I]V2.T2.
 /4 width=4 by lsubr_cpx_trans, cpx_bind, lsubr_unit/ qed.
-