- the definition of the framework for strong normalization continues ...

[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 aa5cba8b940a9bbfc5ff878cf34bb3f36d30508c..4d71723d0c11b9bc9daa443f17547ad6d66599e7 100644 (file)
--- a/matita/matita/contribs/lambda_delta/Basic_2/notation.ma
+++ b/matita/matita/contribs/lambda_delta/Basic_2/notation.ma
@@ -24,14 +24,26 @@ notation "hvbox( ⋆ term 90 k )"
  non associative with precedence 90
  for @{ 'Star $k }.
 
-notation "hvbox( # term 90 k )"
+notation "hvbox( # term 90 i )"
  non associative with precedence 90
- for @{ 'LRef $k }.
+ for @{ 'LRef $i }.
+
+notation "hvbox( § term 90 p )"
+ non associative with precedence 90
+ for @{ 'GRef $p }.
+
+notation "hvbox( 𝕒 )"
+ non associative with precedence 90
+ for @{ 'SItem }.
 
 notation "hvbox( 𝕒 { I } )"
  non associative with precedence 90
  for @{ 'SItem $I }.
 
+notation "hvbox( 𝕔 term 90 T1 . break term 90 T )"
+ non associative with precedence 90
+ for @{ 'SItem $T1 $T }.
+
 notation "hvbox( 𝕔 { I } break term 90 T1 . break term 90 T )"
  non associative with precedence 90
  for @{ 'SItem $I $T1 $T }.
@@ -74,6 +86,10 @@ notation "hvbox( ↑ [ d , break e ] break T1 ≡ break T2 )"
    non associative with precedence 45
    for @{ 'RLift $d $e $T1 $T2 }.
 
+notation "hvbox( ↓ [ e ] break L1 ≡ break L2 )"
+   non associative with precedence 45
+   for @{ 'RDrop $e $L1 $L2 }.
+
 notation "hvbox( ↓ [ d , break e ] break L1 ≡ break L2 )"
    non associative with precedence 45
    for @{ 'RDrop $d $e $L1 $L2 }.
@@ -96,7 +112,69 @@ notation "hvbox( L ⊢ break term 90 T1 break [ d , break e ] ≫* break T2 )"
    non associative with precedence 45
    for @{ 'PSubstStar $L $T1 $d $e $T2 }.
 
-(* Reduction ****************************************************************)
+notation "hvbox( T1 break [ d , break e ] ≡ break T2 )"
+   non associative with precedence 45
+   for @{ 'TSubst $T1 $d $e $T2 }.
+
+notation "hvbox( L ⊢ break term 90 T1 break [ d , break e ] ≡ break T2 )"
+   non associative with precedence 45
+   for @{ 'TSubst $L $T1 $d $e $T2 }.
+
+(* Static Typing ************************************************************)
+
+notation "hvbox( L ⊢ break term 90 T ÷ break A )"
+   non associative with precedence 45
+   for @{ 'AtomicArity $L $T $A }.
+
+(* Reducibility *************************************************************)
+
+notation "hvbox( ℝ [ T ] )"
+   non associative with precedence 45
+   for @{ 'Reducible $T }.
+
+notation "hvbox( L ⊢ ℝ [ T ] )"
+   non associative with precedence 45
+   for @{ 'Reducible $L $T }.
+
+notation "hvbox( 𝕀 [ T ] )"
+   non associative with precedence 45
+   for @{ 'NotReducible $T }.
+
+notation "hvbox( L ⊢ 𝕀 [ T ] )"
+   non associative with precedence 45
+   for @{ 'NotReducible $L $T }.
+
+notation "hvbox( ℕ [ T ] )"
+   non associative with precedence 45
+   for @{ 'Normal $T }.
+
+notation "hvbox( L ⊢ ℕ [ T ] )"
+   non associative with precedence 45
+   for @{ 'Normal $L $T }.
+
+notation "hvbox( 𝕎ℍℝ [ T ] )"
+   non associative with precedence 45
+   for @{ 'WHdReducible $T }.
+
+notation "hvbox( L ⊢ 𝕎ℍℝ [ T ] )"
+   non associative with precedence 45
+   for @{ 'WHdReducible $L $T }.
+
+notation "hvbox( 𝕎ℍ𝕀 [ T ] )"
+   non associative with precedence 45
+   for @{ 'NotWHdReducible $T }.
+
+notation "hvbox( L ⊢ 𝕎ℍ𝕀 [ T ] )"
+   non associative with precedence 45
+   for @{ 'NotWHdReducible $L $T }.
+
+notation "hvbox( 𝕎ℍℕ [ T ] )"
+   non associative with precedence 45
+   for @{ 'WHdNormal $T }.
+
+notation "hvbox( L ⊢ 𝕎ℍℕ [ T ] )"
+   non associative with precedence 45
+   for @{ 'WHdNormal $L $T }.
 
 notation "hvbox( T1 ⇒ break T2 )"
    non associative with precedence 45
@@ -123,3 +201,38 @@ notation "hvbox( L ⊢ break term 90 T1 ⇒* break T2 )"
 notation "hvbox( L1 ⊢ ⇒* break L2 )"
    non associative with precedence 45
    for @{ 'CPRedStar $L1 $L2 }.
+
+notation "hvbox( ⇓ T  )"
+   non associative with precedence 45
+   for @{ 'SN $T }.
+
+notation "hvbox( L ⊢ ⇓ T )"
+   non associative with precedence 45
+   for @{ 'SN $L $T }.
+
+notation "hvbox( { L, break T } ϵ break 〚 A 〛 )"
+   non associative with precedence 45
+   for @{ 'InEInt $L $T $A }.
+
+notation "hvbox( R ⊢ break { L, break T } ϵ break 〚 A 〛 )"
+   non associative with precedence 45
+   for @{ 'InEInt $R $L $T $A }.
+
+notation "hvbox( T1 ⊑ break T2 )"
+   non associative with precedence 45
+   for @{ 'CrSubEq $T1 $T2 }.
+
+notation "hvbox( T1 break [ R ] ⊑ break T2 )"
+   non associative with precedence 45
+   for @{ 'CrSubEq $T1 $R $T2 }.
+
+(* Functional ***************************************************************)
+
+notation "hvbox( ↟ [ d , break e ] break T )"
+   non associative with precedence 80
+   for @{ 'Lift $d $e $T }.
+
+notation "hvbox( ↡ [ d ← break V ] break T )"
+   non associative with precedence 80
+   for @{ 'Subst $V $d $T }.
+