From aa7c98c241b5db81d1f4442f665094eff080158b Mon Sep 17 00:00:00 2001
From: Ferruccio Guidi <ferruccio.guidi@unibo.it>
Date: Tue, 19 Apr 2011 21:28:46 +0000
Subject: [PATCH] notation bug fix

---
 matita/matita/lib/lambda-delta/notation.ma           | 10 +++++-----
 matita/matita/lib/lambda-delta/substitution/subst.ma |  4 ++--
 matita/matita/lib/lambda-delta/substitution/thin.ma  |  4 ++--
 3 files changed, 9 insertions(+), 9 deletions(-)

diff --git a/matita/matita/lib/lambda-delta/notation.ma b/matita/matita/lib/lambda-delta/notation.ma
index 9afd9ac79..368053f5c 100644
--- a/matita/matita/lib/lambda-delta/notation.ma
+++ b/matita/matita/lib/lambda-delta/notation.ma
@@ -39,17 +39,17 @@ notation "hvbox( # [ x , break y ] )"
 
 (* substitution *************************************************************)
 
-notation "hvbox( [ d , break e ] ↑ break T1 ≡ break T2 )"
+notation "hvbox( ↑ [ d , break e ] break T1 ≡ break T2 )"
    non associative with precedence 45
    for @{ 'RLift $T1 $d $e $T2 }.
 
-notation "hvbox( [ d , break e ] ← break (term 90 L) / break T1 ≡ break T2 )"
+notation "hvbox( ↓ [ d , break e ] break L1 ≡ break L2 )"
    non associative with precedence 45
-   for @{ 'RSubst $L $T1 $d $e $T2 }.
+   for @{ 'RSubst $L1 $d $e $L2 }.
 
-notation "hvbox( [ d , break e ] ↓ break L1 ≡ break L2 )"
+notation "hvbox( L ⊢ break ↓ [ d , break e ] break T1 ≡ break T2 )"
    non associative with precedence 45
-   for @{ 'RThin $L1 $d $e $L2 }.
+   for @{ 'RSubst $L $T1 $d $e $T2 }.
 
 (* reduction ****************************************************************)
 
diff --git a/matita/matita/lib/lambda-delta/substitution/subst.ma b/matita/matita/lib/lambda-delta/substitution/subst.ma
index e09b37f35..519aeaa19 100644
--- a/matita/matita/lib/lambda-delta/substitution/subst.ma
+++ b/matita/matita/lib/lambda-delta/substitution/subst.ma
@@ -19,7 +19,7 @@ inductive subst: lenv → term → nat → nat → term → Prop ≝
    | subst_lref_lt: ∀L,i,d,e. i < d → subst L (#i) d e (#i)
    | subst_lref_O : ∀L,V,e. 0 < e → subst (L. ♭Abbr V) #0 0 e V
    | subst_lref_S : ∀L,I,V,i,T1,T2,d,e. 
-                    d ≤ i → i < d + e → subst L #i d e T1 → [d,1]↑ T1 ≡ T2 →
+                    d ≤ i → i < d + e → subst L #i d e T1 → ↑[d,1] T1 ≡ T2 →
                     subst (L. ♭I V) #(i + 1) (d + 1) e T2
    | subst_lref_ge: ∀L,i,d,e. d + e ≤ i → subst L (#i) d e (#(i - e))
    | subst_con2   : ∀L,I,V1,V2,T1,T2,d,e.
@@ -29,7 +29,7 @@ inductive subst: lenv → term → nat → nat → term → Prop ≝
 
 interpretation "telescopic substritution" 'RSubst L T1 d e T2 = (subst L T1 d e T2).
 
-lemma subst_lift_inv: ∀d,e,T1,T2. [d,e]↑ T1 ≡ T2 → ∀L. [d,e]← L / T2 ≡ T1.
+lemma subst_lift_inv: ∀d,e,T1,T2. ↑[d,e] T1 ≡ T2 → ∀L. L ⊢ ↓[d,e] T2 ≡ T1.
 #d #e #T1 #T2 #H elim H -H d e T1 T2 /2/
 #i #d #e #Hdi #L >(minus_plus_m_m i e) in ⊢ (? ? ? ? ? %) /3/ (**) (* use \ldots *)
 qed.
diff --git a/matita/matita/lib/lambda-delta/substitution/thin.ma b/matita/matita/lib/lambda-delta/substitution/thin.ma
index 03cc81b06..dd3d0ffa9 100644
--- a/matita/matita/lib/lambda-delta/substitution/thin.ma
+++ b/matita/matita/lib/lambda-delta/substitution/thin.ma
@@ -18,8 +18,8 @@ inductive thin: lenv → nat → nat → lenv → Prop ≝
    | thin_thin: ∀L1,L2,I,V,e.
                 thin L1 0 e L2 → thin (L1. ♭I V) 0 (e + 1) L2
    | thin_skip: ∀L1,L2,I,V1,V2,d,e.
-                thin L1 d e L2 → [d,e]← L1 / V1 ≡ V2 → 
+                thin L1 d e L2 → L1 ⊢ ↓[d,e] V1 ≡ V2 →
                 thin (L1. ♭I V1) (d + 1) e (L2. ♭I V2)
 .
 
-interpretation "thinning" 'RThin L1 d e L2 = (thin L1 d e L2).
+interpretation "thinning" 'RSubst L1 d e L2 = (thin L1 d e L2).
-- 
2.39.2