X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_transition%2Fcpt_drops.ma;h=8e75cbf2d4e87f18c4d4a0c488eb7ba168820c12;hb=e0c91d8a4422da0b39aca790e5826dc8a617b303;hp=29cbdfc0d7f7e903160d721e1feb37753abc5df2;hpb=3c7b4071a9ac096b02334c1d47468776b948e2de;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpt_drops.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpt_drops.ma
index 29cbdfc0d..8e75cbf2d 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpt_drops.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpt_drops.ma
@@ -48,15 +48,15 @@ qed-.
 (* Advanced properties ******************************************************)
 
 lemma cpt_delta_drops (h) (n) (G):
-      ∀L,K,V,i. ⇩[i] L ≘ K.ⓓV → ∀V2. ❪G,K❫ ⊢ V ⬆[h,n] V2 →
-      ∀W2. ⇧[↑i] V2 ≘ W2 → ❪G,L❫ ⊢ #i ⬆[h,n] W2.
+      ∀L,K,V,i. ⇩[i] L ≘ K.ⓓV → ∀V2. ❨G,K❩ ⊢ V ⬆[h,n] V2 →
+      ∀W2. ⇧[↑i] V2 ≘ W2 → ❨G,L❩ ⊢ #i ⬆[h,n] W2.
 #h #n #G #L #K #V #i #HLK #V2 *
 /3 width=8 by cpg_delta_drops, ex2_intro/
 qed.
 
 lemma cpt_ell_drops (h) (n) (G):
-      ∀L,K,V,i. ⇩[i] L ≘ K.ⓛV → ∀V2. ❪G,K❫ ⊢ V ⬆[h,n] V2 →
-      ∀W2. ⇧[↑i] V2 ≘ W2 → ❪G,L❫ ⊢ #i ⬆[h,↑n] W2.
+      ∀L,K,V,i. ⇩[i] L ≘ K.ⓛV → ∀V2. ❨G,K❩ ⊢ V ⬆[h,n] V2 →
+      ∀W2. ⇧[↑i] V2 ≘ W2 → ❨G,L❩ ⊢ #i ⬆[h,↑n] W2.
 #h #n #G #L #K #V #i #HLK #V2 *
 /3 width=8 by cpg_ell_drops, ist_succ, ex2_intro/
 qed.
@@ -64,11 +64,11 @@ qed.
 (* Advanced inversion lemmas ************************************************)
 
 lemma cpt_inv_atom_sn_drops (h) (n) (I) (G) (L):
-      ∀X2. ❪G,L❫ ⊢ ⓪[I] ⬆[h,n] X2 →
+      ∀X2. ❨G,L❩ ⊢ ⓪[I] ⬆[h,n] X2 →
       ∨∨ ∧∧ X2 = ⓪[I] & n = 0
        | ∃∃s. X2 = ⋆(⫯[h]s) & I = Sort s & n = 1
-       | ∃∃K,V,V2,i. ⇩[i] L ≘ K.ⓓV & ❪G,K❫ ⊢ V ⬆[h,n] V2 & ⇧[↑i] V2 ≘ X2 & I = LRef i
-       | ∃∃m,K,V,V2,i. ⇩[i] L ≘ K.ⓛV & ❪G,K❫ ⊢ V ⬆[h,m] V2 & ⇧[↑i] V2 ≘ X2 & I = LRef i & n = ↑m.
+       | ∃∃K,V,V2,i. ⇩[i] L ≘ K.ⓓV & ❨G,K❩ ⊢ V ⬆[h,n] V2 & ⇧[↑i] V2 ≘ X2 & I = LRef i
+       | ∃∃m,K,V,V2,i. ⇩[i] L ≘ K.ⓛV & ❨G,K❩ ⊢ V ⬆[h,m] V2 & ⇧[↑i] V2 ≘ X2 & I = LRef i & n = ↑m.
 #h #n #I #G #L #X2 * #c #Hc #H elim (cpg_inv_atom1_drops … H) -H *
 [ #H1 #H2 destruct
   /3 width=1 by or4_intro0, conj/
@@ -83,10 +83,10 @@ lemma cpt_inv_atom_sn_drops (h) (n) (I) (G) (L):
 qed-.
 
 lemma cpt_inv_lref_sn_drops (h) (n) (G) (L) (i):
-      ∀X2. ❪G,L❫ ⊢ #i ⬆[h,n] X2 →
+      ∀X2. ❨G,L❩ ⊢ #i ⬆[h,n] X2 →
       ∨∨ ∧∧ X2 = #i & n = 0
-       | ∃∃K,V,V2. ⇩[i] L ≘ K.ⓓV & ❪G,K❫ ⊢ V ⬆[h,n] V2 & ⇧[↑i] V2 ≘ X2
-       | ∃∃m,K,V,V2. ⇩[i] L ≘ K. ⓛV & ❪G,K❫ ⊢ V ⬆[h,m] V2 & ⇧[↑i] V2 ≘ X2 & n = ↑m.
+       | ∃∃K,V,V2. ⇩[i] L ≘ K.ⓓV & ❨G,K❩ ⊢ V ⬆[h,n] V2 & ⇧[↑i] V2 ≘ X2
+       | ∃∃m,K,V,V2. ⇩[i] L ≘ K. ⓛV & ❨G,K❩ ⊢ V ⬆[h,m] V2 & ⇧[↑i] V2 ≘ X2 & n = ↑m.
 #h #n #G #L #i #X2 * #c #Hc #H elim (cpg_inv_lref1_drops … H) -H *
 [ #H1 #H2 destruct
   /3 width=1 by or3_intro0, conj/
@@ -101,8 +101,8 @@ qed-.
 (* Advanced forward lemmas **************************************************)
 
 fact cpt_fwd_plus_aux (h) (n) (G) (L):
-     ∀T1,T2. ❪G,L❫ ⊢ T1 ⬆[h,n] T2 → ∀n1,n2. n1+n2 = n →
-     ∃∃T. ❪G,L❫ ⊢ T1 ⬆[h,n1] T & ❪G,L❫ ⊢ T ⬆[h,n2] T2.
+     ∀T1,T2. ❨G,L❩ ⊢ T1 ⬆[h,n] T2 → ∀n1,n2. n1+n2 = n →
+     ∃∃T. ❨G,L❩ ⊢ T1 ⬆[h,n1] T & ❨G,L❩ ⊢ T ⬆[h,n2] T2.
 #h #n #G #L #T1 #T2 #H @(cpt_ind … H) -G -L -T1 -T2 -n
 [ #I #G #L #n1 #n2 #H
   elim (plus_inv_O3 … H) -H #H1 #H2 destruct
@@ -150,6 +150,6 @@ fact cpt_fwd_plus_aux (h) (n) (G) (L):
 qed-.
 
 lemma cpt_fwd_plus (h) (n1) (n2) (G) (L):
-      ∀T1,T2. ❪G,L❫ ⊢ T1 ⬆[h,n1+n2] T2 →
-      ∃∃T. ❪G,L❫ ⊢ T1 ⬆[h,n1] T & ❪G,L❫ ⊢ T ⬆[h,n2] T2.
+      ∀T1,T2. ❨G,L❩ ⊢ T1 ⬆[h,n1+n2] T2 →
+      ∃∃T. ❨G,L❩ ⊢ T1 ⬆[h,n1] T & ❨G,L❩ ⊢ T ⬆[h,n2] T2.
 /2 width=3 by cpt_fwd_plus_aux/ qed-.