2 ||M|| This file is part of HELM, an Hypertextual, Electronic
3 ||A|| Library of Mathematics, developed at the Computer Science
4 ||T|| Department of the University of Bologna, Italy.
7 ||A|| This file is distributed under the terms of the
8 \ / GNU General Public License Version 2
10 V_______________________________________________________________ *)
12 (* NOTATION FOR THE FORMAL SYSTEM λδ ****************************************)
14 (* language *****************************************************************)
16 notation "hvbox( ζ I )"
17 non associative with precedence 45
20 notation "hvbox( τ I )"
21 non associative with precedence 45
24 notation "hvbox( θ I )"
25 non associative with precedence 45
29 non associative with precedence 90
32 notation "hvbox( ⋆ k )"
33 non associative with precedence 90
36 notation "hvbox( 𝕚 { I } break (term 90 T1) . break (term 90 T) )"
37 non associative with precedence 90
38 for @{ 'SItem $I $T1 $T }.
40 notation "hvbox( 𝕓 { I } break (term 90 T1) . break (term 90 T) )"
41 non associative with precedence 90
42 for @{ 'SBind $I $T1 $T }.
44 notation "hvbox( 𝕗 { I } break (term 90 T1) . break (term 90 T) )"
45 non associative with precedence 90
46 for @{ 'SFlat $I $T1 $T }.
48 notation "hvbox( T . break 𝕓 { I } break (term 90 T1) )"
49 non associative with precedence 89
50 for @{ 'DBind $T $I $T1 }.
52 notation "hvbox( # term 90 x )"
53 non associative with precedence 90
56 notation "hvbox( # [ x , break y ] )"
57 non associative with precedence 90
58 for @{ 'Weight $x $y }.
60 (* substitution *************************************************************)
62 notation "hvbox( ↑ [ d , break e ] break T1 ≡ break T2 )"
63 non associative with precedence 45
64 for @{ 'RLift $T1 $d $e $T2 }.
66 notation "hvbox( ↓ [ d , break e ] break L1 ≡ break L2 )"
67 non associative with precedence 45
68 for @{ 'RSubst $L1 $d $e $L2 }.
70 notation "hvbox( L ⊢ break ↓ [ d , break e ] break T1 ≡ break T2 )"
71 non associative with precedence 45
72 for @{ 'RSubst $L $T1 $d $e $T2 }.
74 (* reduction ****************************************************************)
76 notation "hvbox( L ⊢ break T1 ⇒ break T2 )"
77 non associative with precedence 45
78 for @{ 'PR $L $T1 $T2 }.