update in ground_2, static_2, basic_2, apps_2, alpha_1

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_transition / cpx_lsubr.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpx_lsubr.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpx_lsubr.ma
index 58350fb86e2f48963106c1bc6df07e53c9a34e4d..ecc4cf82ede84bda9145c55de9196876985581fb 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpx_lsubr.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpx_lsubr.ma
@@ -15,16 +15,16 @@
 include "basic_2/rt_transition/cpg_lsubr.ma".
 include "basic_2/rt_transition/cpx.ma".
 
-(* UNCOUNTED CONTEXT-SENSITIVE PARALLEL RT-TRANSITION FOR TERMS *************)
+(* UNBOUND 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.
+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.
+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.
 /4 width=4 by lsubr_cpx_trans, cpx_bind, lsubr_unit/ qed.