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[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_transition / cpx_lsubr.ma
index cd50906ece42ffd702faf692ce425b6040724dc4..58350fb86e2f48963106c1bc6df07e53c9a34e4d 100644 (file)
 include "basic_2/rt_transition/cpg_lsubr.ma".
 include "basic_2/rt_transition/cpx.ma".
 
-(* UNCOUNTED CONTEXT-SENSITIVE PARALLEL REDUCTION FOR TERMS *****************)
+(* UNCOUNTED 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/
 qed-.
+
+lemma cpx_bind_unit: ∀h,L,G,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.
+/4 width=4 by lsubr_cpx_trans, cpx_bind, lsubr_unit/ qed.
+