- the shift function is now defined and cpr_shift_fwd is proved

[helm.git] / matita / matita / contribs / lambda-delta / Basic-2 / notation.ma

diff --git a/matita/matita/contribs/lambda-delta/Basic-2/notation.ma b/matita/matita/contribs/lambda-delta/Basic-2/notation.ma
index 375d06abc776e6af2eb9c444c7619bbd50053caf..653365be82d7b5cac573aefbbfdc19a403cb83ba 100644 (file)
--- a/matita/matita/contribs/lambda-delta/Basic-2/notation.ma
+++ b/matita/matita/contribs/lambda-delta/Basic-2/notation.ma
@@ -1,17 +1,20 @@
-(*
-    ||M||  This file is part of HELM, an Hypertextual, Electronic
-    ||A||  Library of Mathematics, developed at the Computer Science
-    ||T||  Department of the University of Bologna, Italy.
-    ||I||
-    ||T||
-    ||A||  This file is distributed under the terms of the
-    \   /  GNU General Public License Version 2
-     \ /
-      V_______________________________________________________________ *)
+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||M||                                                             *)
+(*      ||A||       A project by Andrea Asperti                           *)
+(*      ||T||                                                             *)
+(*      ||I||       Developers:                                           *)
+(*      ||T||         The HELM team.                                      *)
+(*      ||A||         http://helm.cs.unibo.it                             *)
+(*      \   /                                                             *)
+(*       \ /        This file is distributed under the terms of the       *)
+(*        v         GNU General Public License Version 2                  *)
+(*                                                                        *)
+(**************************************************************************)
 
 (* NOTATION FOR THE FORMAL SYSTEM λδ ****************************************)
 
-(* Syntax *******************************************************************)
+(* Grammar ******************************************************************)
 
 notation "hvbox( ⋆ )"
  non associative with precedence 90
@@ -21,27 +24,27 @@ notation "hvbox( ⋆ term 90 k )"
  non associative with precedence 90
  for @{ 'Star $k }.
 
-notation "hvbox( 𝕚 { I } break (term 90 T1) . break (term 90 T) )"
+notation "hvbox( # term 90 k )"
+ non associative with precedence 90
+ for @{ 'LRef $k }.
+
+notation "hvbox( 𝕚 { I } break term 90 T1 . break term 90 T )"
  non associative with precedence 90
  for @{ 'SItem $I $T1 $T }.
 
-notation "hvbox( 𝕓 { I } break (term 90 T1) . break (term 90 T) )"
+notation "hvbox( 𝕓 { I } break term 90 T1 . break term 90 T )"
  non associative with precedence 90
  for @{ 'SBind $I $T1 $T }.
 
-notation "hvbox( 𝕗 { I } break (term 90 T1) . break (term 90 T) )"
+notation "hvbox( 𝕗 { I } break term 90 T1 . break term 90 T )"
  non associative with precedence 90
  for @{ 'SFlat $I $T1 $T }.
 
-notation "hvbox( T . break 𝕓 { I } break (term 90 T1) )"
+notation "hvbox( T . break 𝕓 { I } break term 90 T1 )"
  non associative with precedence 89
  for @{ 'DBind $T $I $T1 }.
-(*
-notation "hvbox( |  L  | )"
- non associative with precedence 70
- for @{ 'Length $L }.
-*)
-notation "hvbox( # term 90 x )"
+
+notation "hvbox( # [ x ] )"
  non associative with precedence 90
  for @{ 'Weight $x }.
 
@@ -49,12 +52,16 @@ notation "hvbox( # [ x , break y ] )"
  non associative with precedence 90
  for @{ 'Weight $x $y }.
 
-(* Substitution *************************************************************)
+notation "hvbox( 𝕊 [ T ] )"
+   non associative with precedence 45
+   for @{ 'Simple $T }.
 
 notation "hvbox( T1 break [ d , break e ] ≈ break T2 )"
    non associative with precedence 45
    for @{ 'Eq $T1 $d $e $T2 }.
 
+(* Substitution *************************************************************)
+
 notation "hvbox( ↑ [ d , break e ] break T1 ≡ break T2 )"
    non associative with precedence 45
    for @{ 'RLift $T1 $d $e $T2 }.
@@ -73,6 +80,10 @@ notation "hvbox( T1 ⇒ break T2 )"
    non associative with precedence 45
    for @{ 'PRed $T1 $T2 }.
 
-notation "hvbox( L ⊢ break (term 90 T1) ⇒ break T2 )"
+notation "hvbox( L ⊢ break term 90 T1 ⇒ break T2 )"
    non associative with precedence 45
    for @{ 'PRed $L $T1 $T2 }.
+
+notation "hvbox( L1 ⊢ ⇒ break L2 )"
+   non associative with precedence 45
+   for @{ 'CPRed $L1 $L2 }.