- degree: some improvements and the Deg_append lemma

[helm.git] / matita / matita / lib / lambda / lambda_notation.ma

diff --git a/matita/matita/lib/lambda/lambda_notation.ma b/matita/matita/lib/lambda/lambda_notation.ma
index f7f8d9d8fbe26f114abd76b0da08a61fa10b3e06..e8ca08046d97164ea86bd987624231f01bb1940b 100644 (file)
--- a/matita/matita/lib/lambda/lambda_notation.ma
+++ b/matita/matita/lib/lambda/lambda_notation.ma
@@ -12,9 +12,8 @@
 (*                                                                        *)
 (**************************************************************************)
 
-(* NOTATION FOR THE LAMBDA CALCULUS *******************************************)
-
-(* equivalences *)
+(* NOTATION FOR THE LAMBDA CALCULUS *)
+(* equivalence, invariance *)
 
 notation "hvbox(a break ≅ b)" 
   non associative with precedence 45
@@ -24,22 +23,76 @@ notation "hvbox(a break (≅ ^ term 90 c) b)"
   non associative with precedence 45
   for @{'Eq1 $c $a $b}.
 
+notation "hbox(! term 50 a)"
+  non associative with precedence 50
+  for @{'Invariant $a}.
+
+notation "hbox((! ^ term 90 b) term 50 a)"
+  non associative with precedence 50
+  for @{'Invariant1 $a $b}.
+
 (* lifting, substitution *)
 
-notation "hvbox(M break [ l ])"
+notation "hvbox(↑ [ p break , k ] break t)"
+   non associative with precedence 50
+   for @{'Lift1 $p $k $t}.
+
+notation "hvbox(M break [ / l ])"
+   non associative with precedence 90
+   for @{'Subst $M $l}.
+
+notation "hvbox(M break [ k ≝ N ])" 
    non associative with precedence 90
-   for @{'Subst1 $M $l}.
+   for @{'Subst1 $M $k $N}.
+
+(* type judgements *)
+
+notation "hvbox(G break  ⊢ A break : B)"
+   non associative with precedence 45
+   for @{'TJ $G $A $B}.
+
+notation "hvbox(G break  ⊢ A break ÷ B)"
+   non associative with precedence 45
+   for @{'TJ0 $G $A $B}.
+
+(* interpretations *)
+
+notation "hvbox(║T║)"
+   non associative with precedence 50
+   for @{'IInt $T}.
+
+notation "hvbox(║T║ break _ [E])"
+   non associative with precedence 50
+   for @{'IInt1 $T $E}.
+
+notation "hvbox(║T║ break _ [E1 break , E2])"
+   non associative with precedence 50
+   for @{'IInt2 $T $E1 $E2}.
+
+notation "hvbox(〚T〛)"
+   non associative with precedence 50
+   for @{'EInt $T}.
+
+notation "hvbox(〚T〛 break _ [E])"
+   non associative with precedence 50
+   for @{'EInt1 $T $E}.
 
-(* evaluation, interpretation *)
+notation "hvbox(〚T〛 break _ [E1 break , E2])"
+   non associative with precedence 50
+   for @{'EInt2 $T $E1 $E2}.
+
+notation "hvbox(《T》)"
+   non associative with precedence 50
+   for @{'XInt $T}.
 
-notation "hvbox(ã\80\9aterm 90 Tã\80\9b)"
+notation "hvbox(ã\80\8aTã\80\8b break _ [E])"
    non associative with precedence 50
-   for @{'Eval $T}.
+   for @{'XInt1 $T $E}.
 
-notation "hvbox(ã\80\9aterm 90 Tã\80\9b break _ [term 90 E])"
+notation "hvbox(ã\80\8aTã\80\8b break _ [E1 break , E2])"
    non associative with precedence 50
-   for @{'Eval1 $T $E}.
+   for @{'XInt2 $T $E1 $E2}.
 
-notation "hvbox(〚term 90 T〛 break _ [term 90 E1 break , term 90 E2])"
+notation "hvbox(𝕂{T} break _ [E])"
    non associative with precedence 50
-   for @{'Eval2 $T $E1 $E2}.
+   for @{'IK1 $T $E}.