context-free parallel reduction on closures is confluent!

[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 b396acf55b1c12aae9618b36e7d153d80864e8a7..42f62ca150ece12d772be435e13308a9ec37bbc3 100644 (file)
--- a/matita/matita/contribs/lambda_delta/basic_2/notation.ma
+++ b/matita/matita/contribs/lambda_delta/basic_2/notation.ma
@@ -200,6 +200,14 @@ notation "hvbox( L ⊢ break term 46 T1 break ▶ ▶ * [ d , break e ] break te
    non associative with precedence 45
    for @{ 'PSubstStarAlt $L $T1 $d $e $T2 }.
 
+notation "hvbox( T1 break ⊢ ▶ * [ d , break e ] break term 46 T2 )"
+   non associative with precedence 45
+   for @{ 'PSubstStarSn $T1 $d $e $T2 }.
+
+notation "hvbox( T1 break ⊢ ▶ ▶ * [ d , break e ] break term 46 T2 )"
+   non associative with precedence 45
+   for @{ 'PSubstStarSnAlt $T1 $d $e $T2 }.
+
 notation "hvbox( ▼ * [ d , break e ] break term 46 T1 ≡ break term 46 T2 )"
    non associative with precedence 45
    for @{ 'TSubst $T1 $d $e $T2 }.
@@ -300,10 +308,6 @@ notation "hvbox( L ⊢ break term 46 T1 ➡ break term 46 T2 )"
    non associative with precedence 45
    for @{ 'PRed $L $T1 $T2 }.
 
-notation "hvbox( L1 ⊢ ➡ break term 46 L2 )"
-   non associative with precedence 45
-   for @{ 'CPRed $L1 $L2 }.
-
 notation "hvbox( ⦃ L1 ⦄ ➡ break ⦃ L2 ⦄ )"
    non associative with precedence 45
    for @{ 'FocalizedPRed $L1 $L2 }.
@@ -312,29 +316,41 @@ notation "hvbox( ⦃ L1, break T1 ⦄ ➡ break ⦃ L2 , break T2 ⦄ )"
    non associative with precedence 45
    for @{ 'FocalizedPRed $L1 $T1 $L2 $T2 }.
 
+notation "hvbox( L ⊢ break ⦃ L1, break T1 ⦄ ➡ break ⦃ L2 , break T2 ⦄ )"
+   non associative with precedence 45
+   for @{ 'FocalizedPRed $L $L1 $T1 $L2 $T2 }.
+
+notation "hvbox( ⦃ L1 ⦄ ➡ ➡ break ⦃ L2 ⦄ )"
+   non associative with precedence 45
+   for @{ 'FocalizedPRedAlt $L1 $L2 }.
+
 notation "hvbox( ⦃ h , break L ⦄ ⊢ break term 46 T1 ➸ break [ g ] break term 46 T2 )"
    non associative with precedence 45
    for @{ 'XPRed $h $g $L $T1 $T2 }.
 
 (* Computation **************************************************************)
 
-notation "hvbox( T1 ➡* break term 46 T2 )"
+notation "hvbox( T1 ➡ * break term 46 T2 )"
    non associative with precedence 45
    for @{ 'PRedStar $T1 $T2 }.
 
-notation "hvbox( L ⊢ break term 46 T1 ➡* break term 46 T2 )"
+notation "hvbox( L ⊢ break term 46 T1 ➡ * break term 46 T2 )"
    non associative with precedence 45
    for @{ 'PRedStar $L $T1 $T2 }.
 
-notation "hvbox( L1 ⊢ ➡* break term 46 L2 )"
+notation "hvbox( T1 ➡ ➡ * break term 46 T2 )"
    non associative with precedence 45
-   for @{ 'CPRedStar $L1 $L2 }.
+   for @{ 'PRedStarAlt $T1 $T2 }.
 
-notation "hvbox( L ⊢ break term 46 T1 ➡* break 𝐍 ⦃ T2 ⦄ )"
+notation "hvbox( ⦃ L1 ⦄ ➡ * ⦃ L2 ⦄ )"
+   non associative with precedence 45
+   for @{ 'FocalizedPRedStar $L1 $L2 }.
+
+notation "hvbox( L ⊢ break term 46 T1 ➡ * break 𝐍 ⦃ T2 ⦄ )"
    non associative with precedence 45
    for @{ 'PEval $L $T1 $T2 }.
 
-notation "hvbox( ⬊ * term 46 T  )"
+notation "hvbox( ⬊ * term 46 T )"
    non associative with precedence 45
    for @{ 'SN $T }.
 
@@ -368,9 +384,9 @@ notation "hvbox( L ⊢ break term 46 T1 ⬌ break term 46 T2 )"
    non associative with precedence 45
    for @{ 'PConv $L $T1 $T2 }.
 
-notation "hvbox( T1 ⊢ ⬌ break term 46 T2 )"
+notation "hvbox( ⦃ L1 ⦄ ⬌ ⦃ L2 ⦄ )"
    non associative with precedence 45
-   for @{ 'CPConv $T1 $T2 }.
+   for @{ 'FocalizedPConv $L1 $L2 }.
 
 (* Equivalence **************************************************************)
 
@@ -378,9 +394,13 @@ notation "hvbox( L ⊢ break term 46 T1 ⬌* break term 46 T2 )"
    non associative with precedence 45
    for @{ 'PConvStar $L $T1 $T2 }.
 
-notation "hvbox( T1 ⊢ ⬌* break term 46 T2 )"
+notation "hvbox( ⦃ L1 ⦄ ⬌ * ⦃ L2 ⦄ )"
+   non associative with precedence 45
+   for @{ 'FocalizedPConvStar $L1 $L2 }.
+
+notation "hvbox( L1 ⊢ ⬌* break term 46 L2 )"
    non associative with precedence 45
-   for @{ 'CPConvStar $T1 $T2 }.
+   for @{ 'CPConvStar $L1 $L2 }.
 
 (* Dynamic typing ***********************************************************)