--- /dev/null
+(**************************************************************************)
+(* ___ *)
+(* ||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 LAMBDA CALCULUS *)
+(* equivalence, invariance *)
+
+notation "hvbox(a break ≅ b)"
+ non associative with precedence 45
+ for @{'Eq $a $b}.
+
+notation "hvbox(a break (≅ ^ term 90 c) b)"
+ non associative with precedence 45
+ for @{'Eq1 $c $a $b}.
+
+notation "hbox(! term 55 a)"
+ non associative with precedence 55
+ for @{'Invariant $a}.
+
+notation "hbox((! ^ term 90 b) term 55 a)"
+ non associative with precedence 55
+ for @{'Invariant1 $a $b}.
+
+(* lifting, substitution *)
+
+notation "hvbox(↑ [ p break , k ] break t)"
+ non associative with precedence 55
+ 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 $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 55
+ for @{'IInt $T}.
+
+notation "hvbox(║T║ break _ [E])"
+ non associative with precedence 55
+ for @{'IInt1 $T $E}.
+
+notation "hvbox(║T║ break _ [E1 break , E2])"
+ non associative with precedence 55
+ for @{'IInt2 $T $E1 $E2}.
+
+notation "hvbox(〚T〛)"
+ non associative with precedence 55
+ for @{'EInt $T}.
+
+notation "hvbox(〚T〛 break _ [E])"
+ non associative with precedence 55
+ for @{'EInt1 $T $E}.
+
+notation "hvbox(〚T〛 break _ [E1 break , E2])"
+ non associative with precedence 55
+ for @{'EInt2 $T $E1 $E2}.
+
+notation "hvbox(《T》)"
+ non associative with precedence 55
+ for @{'XInt $T}.
+
+notation "hvbox(《T》 break _ [E])"
+ non associative with precedence 55
+ for @{'XInt1 $T $E}.
+
+notation "hvbox(《T》 break _ [E1 break , E2])"
+ non associative with precedence 55
+ for @{'XInt2 $T $E1 $E2}.