X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_computation%2Fcpxs_lpx.ma;h=43aee248dc99ffc86d762fff574cc078a3356b13;hb=bd53c4e895203eb049e75434f638f26b5a161a2b;hp=f5cefda3a524037cc042e8c29622feb8addd650a;hpb=a40dbe4ef22688b1e9d8b31a7f10150bfc28e111;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_lpx.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_lpx.ma
index f5cefda3a..43aee248d 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_lpx.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_lpx.ma
@@ -44,22 +44,22 @@ qed-.
 
 (* Advanced properties ******************************************************)
 
-lemma cpx_bind2: ∀h,G,L,V1,V2. ⦃G, L⦄ ⊢ V1 ⬈[h] V2 →
-                 ∀I,T1,T2. ⦃G, L.ⓑ{I}V2⦄ ⊢ T1 ⬈[h] T2 →
-                 ∀p. ⦃G, L⦄ ⊢ ⓑ{p,I}V1.T1 ⬈*[h] ⓑ{p,I}V2.T2.
+lemma cpx_bind2: ∀h,G,L,V1,V2. ❪G,L❫ ⊢ V1 ⬈[h] V2 →
+                 ∀I,T1,T2. ❪G,L.ⓑ[I]V2❫ ⊢ T1 ⬈[h] T2 →
+                 ∀p. ❪G,L❫ ⊢ ⓑ[p,I]V1.T1 ⬈*[h] ⓑ[p,I]V2.T2.
 /4 width=5 by lpx_cpx_trans, cpxs_bind_dx, lpx_pair/ qed.
 
-lemma cpxs_bind2_dx: ∀h,G,L,V1,V2. ⦃G, L⦄ ⊢ V1 ⬈[h] V2 →
-                     ∀I,T1,T2. ⦃G, L.ⓑ{I}V2⦄ ⊢ T1 ⬈*[h] T2 →
-                     ∀p. ⦃G, L⦄ ⊢ ⓑ{p,I}V1.T1 ⬈*[h] ⓑ{p,I}V2.T2.
+lemma cpxs_bind2_dx: ∀h,G,L,V1,V2. ❪G,L❫ ⊢ V1 ⬈[h] V2 →
+                     ∀I,T1,T2. ❪G,L.ⓑ[I]V2❫ ⊢ T1 ⬈*[h] T2 →
+                     ∀p. ❪G,L❫ ⊢ ⓑ[p,I]V1.T1 ⬈*[h] ⓑ[p,I]V2.T2.
 /4 width=5 by lpx_cpxs_trans, cpxs_bind_dx, lpx_pair/ qed.
 
 (* Properties with plus-iterated structural successor for closures **********)
 
 (* Basic_2A1: uses: lpx_fqup_trans *)
-lemma lpx_fqup_trans: ∀h,b,G1,G2,L1,L2,T1,T2. ⦃G1, L1, T1⦄ ⊐+[b] ⦃G2, L2, T2⦄ →
-                      ∀K1. ⦃G1, K1⦄ ⊢ ⬈[h] L1 →
-                      ∃∃K2,T. ⦃G1, K1⦄ ⊢ T1 ⬈*[h] T & ⦃G1, K1, T⦄ ⊐+[b] ⦃G2, K2, T2⦄ & ⦃G2, K2⦄ ⊢ ⬈[h] L2.
+lemma lpx_fqup_trans: ∀h,b,G1,G2,L1,L2,T1,T2. ❪G1,L1,T1❫ ⬂+[b] ❪G2,L2,T2❫ →
+                      ∀K1. ❪G1,K1❫ ⊢ ⬈[h] L1 →
+                      ∃∃K2,T. ❪G1,K1❫ ⊢ T1 ⬈*[h] T & ❪G1,K1,T❫ ⬂+[b] ❪G2,K2,T2❫ & ❪G2,K2❫ ⊢ ⬈[h] L2.
 #h #b #G1 #G2 #L1 #L2 #T1 #T2 #H @(fqup_ind … H) -G2 -L2 -T2
 [ #G2 #L2 #T2 #H12 #K1 #HKL1 elim (lpx_fqu_trans … H12 … HKL1) -L1
   /3 width=5 by cpx_cpxs, fqu_fqup, ex3_2_intro/
@@ -73,9 +73,9 @@ qed-.
 (* Properties with star-iterated structural successor for closures **********)
 
 (* Basic_2A1: uses: lpx_fqus_trans *)
-lemma lpx_fqus_trans: ∀h,b,G1,G2,L1,L2,T1,T2. ⦃G1, L1, T1⦄ ⊐*[b] ⦃G2, L2, T2⦄ →
-                      ∀K1. ⦃G1, K1⦄ ⊢ ⬈[h] L1 →
-                      ∃∃K2,T. ⦃G1, K1⦄ ⊢ T1 ⬈*[h] T & ⦃G1, K1, T⦄ ⊐*[b] ⦃G2, K2, T2⦄ & ⦃G2, K2⦄ ⊢ ⬈[h] L2.
+lemma lpx_fqus_trans: ∀h,b,G1,G2,L1,L2,T1,T2. ❪G1,L1,T1❫ ⬂*[b] ❪G2,L2,T2❫ →
+                      ∀K1. ❪G1,K1❫ ⊢ ⬈[h] L1 →
+                      ∃∃K2,T. ❪G1,K1❫ ⊢ T1 ⬈*[h] T & ❪G1,K1,T❫ ⬂*[b] ❪G2,K2,T2❫ & ❪G2,K2❫ ⊢ ⬈[h] L2.
 #h #b #G1 #G2 #L1 #L2 #T1 #T2 #H #K1 #HKL1 elim (fqus_inv_fqup … H) -H
 [ #H12 elim (lpx_fqup_trans … H12 … HKL1) -L1 /3 width=5 by fqup_fqus, ex3_2_intro/
 | * #H1 #H2 #H3 destruct /2 width=5 by ex3_2_intro/