X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fground%2Frelocation%2Fpr_after_ist.ma;h=9756cd207474dc5e26f343afa99eabe118f000e2;hb=503500ff9a6d9cca363a42b5fe7f3f5de69239f9;hp=2128885217bc56f8596871d7caf95527197613d6;hpb=835d26af0fdaa835b6aa1b35765cb22fb3590c4b;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/ground/relocation/pr_after_ist.ma b/matita/matita/contribs/lambdadelta/ground/relocation/pr_after_ist.ma
index 212888521..9756cd207 100644
--- a/matita/matita/contribs/lambdadelta/ground/relocation/pr_after_ist.ma
+++ b/matita/matita/contribs/lambdadelta/ground/relocation/pr_after_ist.ma
@@ -23,7 +23,7 @@ include "ground/relocation/pr_after_pat.ma".
 
 (*** after_istot_fwd *)
 lemma pr_after_ist_des:
-      ∀f2,f1,f. f2 ⊚ f1 ≘ f → 𝐓❪f2❫ → 𝐓❪f1❫ → 𝐓❪f❫.
+      ∀f2,f1,f. f2 ⊚ f1 ≘ f → 𝐓❨f2❩ → 𝐓❨f1❩ → 𝐓❨f❩.
 #f2 #f1 #f #Hf #Hf2 #Hf1 #i1 elim (Hf1 i1) -Hf1
 #i2 #Hf1 elim (Hf2 i2) -Hf2
 /3 width=7 by pr_after_des_pat, ex_intro/
@@ -31,14 +31,14 @@ qed-.
 
 (*** after_fwd_istot_dx *)
 lemma pr_after_des_ist_dx:
-      ∀f2,f1,f. f2 ⊚ f1 ≘ f → 𝐓❪f❫ → 𝐓❪f1❫.
+      ∀f2,f1,f. f2 ⊚ f1 ≘ f → 𝐓❨f❩ → 𝐓❨f1❩.
 #f2 #f1 #f #H #Hf #i1 elim (Hf i1) -Hf
 #i2 #Hf elim (pr_after_pat_des … Hf … H) -f /2 width=2 by ex_intro/
 qed-.
 
 (*** after_fwd_istot_sn *)
 lemma pr_after_des_ist_sn:
-      ∀f2,f1,f. f2 ⊚ f1 ≘ f → 𝐓❪f❫ → 𝐓❪f2❫.
+      ∀f2,f1,f. f2 ⊚ f1 ≘ f → 𝐓❨f❩ → 𝐓❨f2❩.
 #f2 #f1 #f #H #Hf #i1 elim (Hf i1) -Hf
 #i #Hf elim (pr_after_pat_des … Hf … H) -f
 #i2 #Hf1 #Hf2 lapply (pr_pat_increasing … Hf1) -f1
@@ -47,15 +47,15 @@ qed-.
 
 (*** after_at1_fwd *)
 lemma pr_after_des_ist_pat:
-      ∀f1,i1,i2. @❪i1, f1❫ ≘ i2 → ∀f2. 𝐓❪f2❫ → ∀f. f2 ⊚ f1 ≘ f →
-      ∃∃i. @❪i2, f2❫ ≘ i & @❪i1, f❫ ≘ i.
+      ∀f1,i1,i2. @❨i1, f1❩ ≘ i2 → ∀f2. 𝐓❨f2❩ → ∀f. f2 ⊚ f1 ≘ f →
+      ∃∃i. @❨i2, f2❩ ≘ i & @❨i1, f❩ ≘ i.
 #f1 #i1 #i2 #Hf1 #f2 #Hf2 #f #Hf elim (Hf2 i2) -Hf2
 /3 width=8 by pr_after_des_pat, ex2_intro/
 qed-.
 
 lemma pr_after_des_ist_nat:
-      ∀f1,l1,l2. @↑❪l1, f1❫ ≘ l2 → ∀f2. 𝐓❪f2❫ → ∀f. f2 ⊚ f1 ≘ f →
-      ∃∃l. @↑❪l2, f2❫ ≘ l & @↑❪l1, f❫ ≘ l.
+      ∀f1,l1,l2. @↑❨l1, f1❩ ≘ l2 → ∀f2. 𝐓❨f2❩ → ∀f. f2 ⊚ f1 ≘ f →
+      ∃∃l. @↑❨l2, f2❩ ≘ l & @↑❨l1, f❩ ≘ l.
 #f1 #l1 #l2 #H1 #f2 #H2 #f #Hf
 elim (pr_after_des_ist_pat … H1 … H2 … Hf) -f1 -H2
 /2 width=3 by ex2_intro/
@@ -65,5 +65,5 @@ qed-.
 
 (*** after_inv_istot *)
 lemma pr_after_inv_ist:
-      ∀f2,f1,f. f2 ⊚ f1 ≘ f → 𝐓❪f❫ → ∧∧ 𝐓❪f2❫ & 𝐓❪f1❫.
+      ∀f2,f1,f. f2 ⊚ f1 ≘ f → 𝐓❨f❩ → ∧∧ 𝐓❨f2❩ & 𝐓❨f1❩.
 /3 width=4 by pr_after_des_ist_sn, pr_after_des_ist_dx, conj/ qed-.