X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_equivalence%2Fcpcs_cpcs.ma;h=a0bfbd5dd8454125168a14f7a5f81a62ffc00852;hb=e0c91d8a4422da0b39aca790e5826dc8a617b303;hp=97ea77791da0a4c064cdfe251d45e34f5f18eab3;hpb=ca7327c20c6031829fade8bb84a3a1bb66113f54;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_equivalence/cpcs_cpcs.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_equivalence/cpcs_cpcs.ma
index 97ea77791..a0bfbd5dd 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_equivalence/cpcs_cpcs.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_equivalence/cpcs_cpcs.ma
@@ -31,21 +31,21 @@ theorem cpcs_canc_dx (h) (G) (L): right_cancellable … (cpcs h G L).
 
 (* Advanced properties ******************************************************)
 
-lemma cpcs_bind1 (h) (G) (L): ∀V1,V2. ❪G,L❫ ⊢ V1 ⬌*[h] V2 →
-                              ∀I,T1,T2. ❪G,L.ⓑ[I]V1❫ ⊢ T1 ⬌*[h] T2 →
-                              ∀p. ❪G,L❫ ⊢ ⓑ[p,I]V1.T1 ⬌*[h] ⓑ[p,I]V2.T2.
+lemma cpcs_bind1 (h) (G) (L): ∀V1,V2. ❨G,L❩ ⊢ V1 ⬌*[h] V2 →
+                              ∀I,T1,T2. ❨G,L.ⓑ[I]V1❩ ⊢ T1 ⬌*[h] T2 →
+                              ∀p. ❨G,L❩ ⊢ ⓑ[p,I]V1.T1 ⬌*[h] ⓑ[p,I]V2.T2.
 /3 width=3 by cpcs_trans, cpcs_bind_sn, cpcs_bind_dx/ qed.
 
-lemma cpcs_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 cpcs_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.
 /3 width=3 by cpcs_trans, cpcs_bind_sn, cpcs_bind_dx/ qed.
 
 (* Advanced properties with r-transition for full local environments ********)
 
 (* Basic_1: was: pc3_wcpr0 *)
-lemma lpr_cpcs_conf (h) (G): ∀L1,L2. ❪G,L1❫ ⊢ ➡[h,0] L2 →
-                             ∀T1,T2. ❪G,L1❫ ⊢ T1 ⬌*[h] T2 → ❪G,L2❫ ⊢ T1 ⬌*[h] T2.
+lemma lpr_cpcs_conf (h) (G): ∀L1,L2. ❨G,L1❩ ⊢ ➡[h,0] L2 →
+                             ∀T1,T2. ❨G,L1❩ ⊢ T1 ⬌*[h] T2 → ❨G,L2❩ ⊢ T1 ⬌*[h] T2.
 #h #G #L1 #L2 #HL12 #T1 #T2 #H elim (cpcs_inv_cprs … H) -H
 /3 width=5 by cpcs_canc_dx, lpr_cprs_conf/
 qed-.