X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Flib%2Fbasics%2Fcore_notation.ma;h=77e44c201a800dbc3cc26b0a61c26c3b318ad35e;hb=5832735b721c0bd8567c8f0be761a9136363a2a6;hp=dd672ee842ba699f8556bd9b09ba80fb21ea278d;hpb=064980eacc2efe70ffee96134d75dfa37506fc36;p=helm.git

diff --git a/matita/matita/lib/basics/core_notation.ma b/matita/matita/lib/basics/core_notation.ma
index dd672ee84..77e44c201 100644
--- a/matita/matita/lib/basics/core_notation.ma
+++ b/matita/matita/lib/basics/core_notation.ma
@@ -109,7 +109,7 @@ notation < "hvbox(term 46 n break ≅ \sub p term 46 m)"
   non associative with precedence 45
 for @{ 'congruent $n $m $p }.
 
-(* other notations **********************************************************)
+(* pairs, projections *******************************************************)
 
 notation "hvbox(\langle term 19 a, break term 19 b\rangle)" 
 with precedence 90 for @{ 'pair $a $b}.
@@ -126,6 +126,8 @@ notation < "\snd \nbsp term 90 x \nbsp term 90 y" with precedence 69 for @{'pi2b
 notation > "\fst" with precedence 90 for @{'pi1}.
 notation > "\snd" with precedence 90 for @{'pi2}.
 
+(* implication **************************************************************)
+
 notation "hvbox(a break \to b)" 
   right associative with precedence 20
 for @{ \forall $_:$a.$b }.
@@ -134,6 +136,8 @@ notation < "hvbox(a break \to b)"
   right associative with precedence 20
 for @{ \Pi $_:$a.$b }.
 
+(* orders *******************************************************************)
+
 notation "hvbox(a break \leq b)" 
   non associative with precedence 45
 for @{ 'leq $a $b }.
@@ -150,6 +154,8 @@ notation "hvbox(a break \gt b)"
   non associative with precedence 45
 for @{ 'gt $a $b }.
 
+(* negated equality *********************************************************)
+
 notation > "hvbox(a break \neq b)" 
   non associative with precedence 45
 for @{ 'neq ? $a $b }.
@@ -158,6 +164,8 @@ notation < "hvbox(a break maction (\neq) (\neq\sub t) b)"
   non associative with precedence 45
 for @{ 'neq $t $a $b }.
 
+(* negated orders ***********************************************************)
+
 notation "hvbox(a break \nleq b)" 
   non associative with precedence 45
 for @{ 'nleq $a $b }.
@@ -174,6 +182,8 @@ notation "hvbox(a break \ngtr b)"
   non associative with precedence 45
 for @{ 'ngtr $a $b }.
 
+(* divides, negated divides *************************************************)
+
 notation "hvbox(a break \divides b)"
   non associative with precedence 45
 for @{ 'divides $a $b }.
@@ -182,6 +192,8 @@ notation "hvbox(a break \ndivides b)"
   non associative with precedence 45
 for @{ 'ndivides $a $b }.
 
+(* arithmetics **************************************************************)
+
 notation "hvbox(a break + b)" 
   left associative with precedence 55
 for @{ 'plus $a $b }.
@@ -225,6 +237,8 @@ notation "\sqrt a"
   non associative with precedence 65
 for @{ 'sqrt $a }.
 
+(* logical connectives ******************************************************)
+
 notation "hvbox(a break \lor b)" 
   left associative with precedence 30
 for @{ 'or $a $b }.
@@ -245,6 +259,7 @@ notation "hvbox(a break \leftrightarrow b)"
   left associative with precedence 25
 for @{ 'iff $a $b }.
 
+(* subsets ******************************************************************)
 
 notation "hvbox(\Omega \sup term 90 A)" non associative with precedence 90
 for @{ 'powerset $A }.
@@ -283,6 +298,8 @@ for @{ 'union $a $b }. (* \cup *)
 
 notation "hvbox({ term 19 a })" with precedence 90 for @{ 'singl $a}.
 
+(* other notations **********************************************************)
+
 notation "hvbox(a break \approx b)" non associative with precedence 45 
   for @{ 'napart $a $b}.