X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fnotation.ma;h=d53b103c84f1cdaa90087c090c6ccf2d46be6680;hb=24ccb1f19b64d27f0f3c766e2b1503bd8e3b4786;hp=8745932e9d6678a206e06ad84bce8b62bf4fb1a0;hpb=cdfd45ca5a2b52601b7bde732a7811de55a52fed;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/basic_2/notation.ma b/matita/matita/contribs/lambdadelta/basic_2/notation.ma
index 8745932e9..d53b103c8 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/notation.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/notation.ma
@@ -48,7 +48,7 @@ notation "hvbox( ② { term 46 I } break term 55 T1 . break term 55 T )"
  non associative with precedence 55
  for @{ 'SnItem2 $I $T1 $T }.
 
-notation "hvbox( ⓑ { term 46 a , term 46 I } break term 55 T1 . break term 55 T )"
+notation "hvbox( ⓑ { term 46 a , break term 46 I } break term 55 T1 . break term 55 T )"
  non associative with precedence 55
  for @{ 'SnBind2 $a $I $T1 $T }.
 
@@ -64,7 +64,7 @@ notation "hvbox( ⓕ { term 46 I } break term 55 T1 . break term 55 T )"
  non associative with precedence 55
  for @{ 'SnFlat2 $I $T1 $T }.
 
-notation "hvbox( ⓓ { term 46 a } term 55 T1 . break term 55 T2 )"
+notation "hvbox( ⓓ { term 46 a } break term 55 T1 . break term 55 T2 )"
  non associative with precedence 55
  for @{ 'SnAbbr $a $T1 $T2 }.
 
@@ -76,7 +76,7 @@ notation "hvbox( - ⓓ term 55 T1 . break term 55 T2 )"
  non associative with precedence 55
  for @{ 'SnAbbrNeg $T1 $T2 }.
 
-notation "hvbox( ⓛ { term 46 a } term 55 T1 . break term 55 T2 )"
+notation "hvbox( ⓛ { term 46 a } break term 55 T1 . break term 55 T2 )"
  non associative with precedence 55
  for @{ 'SnAbst $a $T1 $T2 }.
 
@@ -116,10 +116,6 @@ notation "hvbox( T1 . break ⓛ T2 )"
  left associative with precedence 49
  for @{ 'DxAbst $T1 $T2 }.
 
-notation "hvbox( T . break ④ { term 46 I } break { term 46 T1 , break term 46 T2 , break term 46 T3 } )"
- non associative with precedence 50
- for @{ 'DxItem4 $T $I $T1 $T2 $T3 }.
-
 notation "hvbox( ♯ { term 46 x } )"
  non associative with precedence 90
  for @{ 'Weight $x }.
@@ -132,28 +128,16 @@ notation "hvbox( 𝐒 ⦃ term 46 T ⦄ )"
    non associative with precedence 45
    for @{ 'Simple $T }.
 
-notation "hvbox( L ⊢ break term 46 T1 ≈ break term 46 T2 )"
-   non associative with precedence 45
-   for @{ 'Hom $L $T1 $T2 }.
-
 notation "hvbox( T1 ≃ break term 46 T2 )"
    non associative with precedence 45
    for @{ 'Iso $T1 $T2 }.
 
-(* Substitution *************************************************************)
+(* Relocation ***************************************************************)
 
 notation "hvbox( ⇧ [ term 46 d , break term 46 e ] break term 46 T1 ≡ break term 46 T2 )"
    non associative with precedence 45
    for @{ 'RLift $d $e $T1 $T2 }.
 
-notation "hvbox( T1 break ≼ [ term 46 d , break term 46 e ] break term 46 T2 )"
-   non associative with precedence 45
-   for @{ 'SubEq $T1 $d $e $T2 }.
-
-notation "hvbox( ≽ [ term 46 d , break term 46 e ] break term 46 T2 )"
-   non associative with precedence 45
-   for @{ 'SubEqBottom $d $e $T2 }.
-
 notation "hvbox( ⇩ [ term 46 e ] break term 46 L1 ≡ break term 46 L2 )"
    non associative with precedence 45
    for @{ 'RDrop $e $L1 $L2 }.
@@ -162,19 +146,15 @@ notation "hvbox( ⇩ [ term 46 d , break term 46 e ] break term 46 L1 ≡ break
    non associative with precedence 45
    for @{ 'RDrop $d $e $L1 $L2 }.
 
-notation "hvbox( ⦃ term 46 L1, break term 46 T1 ⦄ ⧁ break ⦃ term 46 L2 , break term 46 T2 ⦄ )"
+notation "hvbox( ⦃ term 46 L1, break term 46 T1 ⦄ ⊃ break ⦃ term 46 L2 , break term 46 T2 ⦄ )"
    non associative with precedence 45
-   for @{ 'RestSupTerm $L1 $T1 $L2 $T2 }.
+   for @{ 'SupTerm $L1 $T1 $L2 $T2 }.
 
 notation "hvbox( L ⊢ break ⌘ ⦃ term 46 T ⦄ ≡ break term 46 k )"
    non associative with precedence 45
    for @{ 'ICM $L $T $k }.
 
-notation "hvbox( L ⊢ break term 46 T1 break ▶ [ term 46 d , break term 46 e ] break term 46 T2 )"
-   non associative with precedence 45
-   for @{ 'PSubst $L $T1 $d $e $T2 }.
-
-(* Unfold *******************************************************************)
+(* Substitution *************************************************************)
 
 notation "hvbox( @ ⦃ term 46 T1 , break term 46 f ⦄ ≡ break term 46 T2 )"
    non associative with precedence 45
@@ -192,49 +172,25 @@ notation "hvbox( ⇩ * [ term 46 e ] break term 46 L1 ≡ break term 46 L2 )"
    non associative with precedence 45
    for @{ 'RDropStar $e $L1 $L2 }.
 
-notation "hvbox( ⦃ term 46 L1, break term 46 T1 ⦄ ⧁ + break ⦃ term 46 L2 , break term 46 T2 ⦄ )"
-   non associative with precedence 45
-   for @{ 'RestSupTermPlus $L1 $T1 $L2 $T2 }.
-
-notation "hvbox( ⦃ term 46 L1, break term 46 T1 ⦄ ⧁ * break ⦃ term 46 L2 , break term 46 T2 ⦄ )"
-   non associative with precedence 45
-   for @{ 'RestSupTermStar $L1 $T1 $L2 $T2 }.
-
-notation "hvbox( T1 break ▶ * [ term 46 d , break term 46 e ] break term 46 T2 )"
-   non associative with precedence 45
-   for @{ 'PSubstStar $T1 $d $e $T2 }.
-
-notation "hvbox( L ⊢ break term 46 T1 break ▶ * [ term 46 d , break term 46 e ] break term 46 T2 )"
+notation "hvbox( ⦃ term 46 L1, break term 46 T1 ⦄ ⊃ + break ⦃ term 46 L2 , break term 46 T2 ⦄ )"
    non associative with precedence 45
-   for @{ 'PSubstStar $L $T1 $d $e $T2 }.
+   for @{ 'SupTermPlus $L1 $T1 $L2 $T2 }.
 
-notation "hvbox( L ⊢ break term 46 T1 break ▶ ▶ * [ term 46 d , break term 46 e ] break term 46 T2 )"
+notation "hvbox( ⦃ term 46 L1, break term 46 T1 ⦄ ⊃ * break ⦃ term 46 L2 , break term 46 T2 ⦄ )"
    non associative with precedence 45
-   for @{ 'PSubstStarAlt $L $T1 $d $e $T2 }.
+   for @{ 'SupTermStar $L1 $T1 $L2 $T2 }.
 
-notation "hvbox( T1 break ⊢ ▶ * [ term 46 d , break term 46 e ] break term 46 T2 )"
+notation "hvbox( L1 ⊑ break term 46 L2 )"
    non associative with precedence 45
-   for @{ 'PSubstStarSn $T1 $d $e $T2 }.
+   for @{ 'SubEq $L1 $L2 }.
 
-notation "hvbox( T1 break ⊢ ▶ ▶ * [ term 46 d , break term 46 e ] break term 46 T2 )"
+notation "hvbox( L ⊢ break term 46 T1 ▶* break term 46 T2 )"
    non associative with precedence 45
-   for @{ 'PSubstStarSnAlt $T1 $d $e $T2 }.
+   for @{ 'PSubstStar $L $T1 $T2 }.
 
-notation "hvbox( ▼ * [ term 46 d , break term 46 e ] break term 46 T1 ≡ break term 46 T2 )"
+notation "hvbox( T1 ⊢ ▶ * break term 46 T2 )"
    non associative with precedence 45
-   for @{ 'TSubst $T1 $d $e $T2 }.
-
-notation "hvbox( L ⊢ break ▼ * [ term 46 d , break term 46 e ] break term 46 T1 ≡ break term 46 T2 )"
-   non associative with precedence 45
-   for @{ 'TSubst $L $T1 $d $e $T2 }.
-
-notation "hvbox( ▼ ▼ * [ term 46 d , break term 46 e ] break term 46 T1 ≡ break term 46 T2 )"
-   non associative with precedence 45
-   for @{ 'TSubstAlt $T1 $d $e $T2 }.
-
-notation "hvbox( L ⊢ break ▼ ▼ * [ term 46 d , break term 46 e ] break term 46 T1 ≡ break term 46 T2 )"
-   non associative with precedence 45
-   for @{ 'TSubstAlt $L $T1 $d $e $T2 }.
+   for @{ 'PSubstStarSn $T1 $T2 }.
 
 (* Static typing ************************************************************)
 
@@ -258,7 +214,7 @@ notation "hvbox( ⦃ term 46 h , break term 46 L ⦄ ⊢ break term 46 T1 • br
    non associative with precedence 45
    for @{ 'StaticType $h $g $L $T1 $T2 $l }.
 
-(* Unwind *******************************************************************)
+(* Unfold *******************************************************************)
 
 notation "hvbox( ⦃ term 46 h , break term 46 L ⦄ ⊢ break term 46 T1 •* break [ term 46 g ] break term 46 T2 )"
    non associative with precedence 45
@@ -266,9 +222,17 @@ notation "hvbox( ⦃ term 46 h , break term 46 L ⦄ ⊢ break term 46 T1 •* b
 
 notation "hvbox( L1 ⊢ ⧫ * break term 46 T ≡ break term 46 L2 )"
    non associative with precedence 45
-   for @{ 'Unwind $L1 $T $L2 }.
+   for @{ 'Unfold $L1 $T $L2 }.
 
-(* Reducibility *************************************************************)
+notation "hvbox( L ⊢ break term 46 T1 ➤ * break term 46 T2 )"
+   non associative with precedence 45
+   for @{ 'PRestStar $L $T1 $T2 }.
+
+notation "hvbox( T1 ⊢ ➤ * break term 46 T2 )"
+   non associative with precedence 45
+   for @{ 'PRestStarSn $T1 $T2 }.
+
+(* Reduction ****************************************************************)
 
 notation "hvbox( L ⊢ break 𝐑 ⦃ term 46 T ⦄ )"
    non associative with precedence 45
@@ -282,89 +246,27 @@ notation "hvbox( L ⊢ break 𝐍 ⦃ term 46 T ⦄ )"
    non associative with precedence 45
    for @{ 'Normal $L $T }.
 
-(* this might be removed *)
-notation "hvbox( 𝐇𝐑 ⦃ term 46 T ⦄ )"
-   non associative with precedence 45
-   for @{ 'HdReducible $T }.
-
-(* this might be removed *)
-notation "hvbox( L ⊢ break 𝐇𝐑 ⦃ term 46 T ⦄ )"
-   non associative with precedence 45
-   for @{ 'HdReducible $L $T }.
-
-(* this might be removed *)
-notation "hvbox( 𝐇𝐈 ⦃ term 46 T ⦄ )"
-   non associative with precedence 45
-   for @{ 'NotHdReducible $T }.
-
-(* this might be removed *)
-notation "hvbox( L ⊢ break 𝐇𝐈 ⦃ term 46 T ⦄ )"
-   non associative with precedence 45
-   for @{ 'NotHdReducible $L $T }.
-
-(* this might be removed *)
-notation "hvbox( 𝐇𝐍 ⦃ term 46 T ⦄ )"
-   non associative with precedence 45
-   for @{ 'HdNormal $T }.
-
-(* this might be removed *)
-notation "hvbox( L ⊢ break 𝐇𝐍 ⦃ term 46 T ⦄ )"
-   non associative with precedence 45
-   for @{ 'HdNormal $L $T }.
-
-notation "hvbox( T1 ➡ break term 46 T2 )"
-   non associative with precedence 45
-   for @{ 'PRed $T1 $T2 }.
-
 notation "hvbox( L ⊢ break term 46 T1 ➡ break term 46 T2 )"
    non associative with precedence 45
    for @{ 'PRed $L $T1 $T2 }.
 
-notation "hvbox( ⦃ term 46 L1 ⦄ ➡ break ⦃ term 46 L2 ⦄ )"
+notation "hvbox( L1 ⊢ ➡ break term 46 L2 )"
    non associative with precedence 45
-   for @{ 'FocalizedPRed $L1 $L2 }.
-
-notation "hvbox( ⦃ term 46 L1, break term 46 T1 ⦄ ➡ break ⦃ term 46 L2 , break term 46 T2 ⦄ )"
-   non associative with precedence 45
-   for @{ 'FocalizedPRed $L1 $T1 $L2 $T2 }.
-
-notation "hvbox( L ⊢ break ⦃ term 46 L1, break term 46 T1 ⦄ ➡ break ⦃ term 46 L2 , break term 46 T2 ⦄ )"
-   non associative with precedence 45
-   for @{ 'FocalizedPRed $L $L1 $T1 $L2 $T2 }.
-
-notation "hvbox( ⦃ term 46 L1 ⦄ ➡ ➡ break ⦃ term 46 L2 ⦄ )"
-   non associative with precedence 45
-   for @{ 'FocalizedPRedAlt $L1 $L2 }.
+   for @{ 'PRedSn $L1 $L2 }.
 
 (* Computation **************************************************************)
 
-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 )"
    non associative with precedence 45
    for @{ 'PRedStar $L $T1 $T2 }.
 
-notation "hvbox( T1 ➡ ➡ * break term 46 T2 )"
-   non associative with precedence 45
-   for @{ 'PRedStarAlt $T1 $T2 }.
-
-notation "hvbox( ⦃ term 46 L1 ⦄ ➡ * break ⦃ term 46 L2 ⦄ )"
-   non associative with precedence 45
-   for @{ 'FocalizedPRedStar $L1 $L2 }.
-
-notation "hvbox( ⦃ term 46 L1 , term 46 T1 ⦄ ➡ * break ⦃ term 46 L2 , term 46 T2 ⦄ )"
-   non associative with precedence 45
-   for @{ 'FocalizedPRedStar $L1 $T1 $L2 $T2 }.
-
-notation "hvbox( ⦃ term 46 L1 ⦄ ➡ ➡ * break ⦃ term 46 L2 ⦄ )"
+notation "hvbox( L1 ⊢ ➡* break term 46 L2 )"
    non associative with precedence 45
-   for @{ 'FocalizedPRedStarAlt $L1 $L2 }.
+   for @{ 'PRedSnStar $L1 $L2 }.
 
-notation "hvbox( ⦃ term 46 L1 , term 46 T1 ⦄ ➡ ➡ * break ⦃ term 46 L2 , term 46 T2 ⦄ )"
+notation "hvbox( L1 ⊢ ➡➡* break term 46 L2 )"
    non associative with precedence 45
-   for @{ 'FocalizedPRedStarAlt $L1 $T1 $L2 $T2 }.
+   for @{ 'PRedSnStarAlt $L1 $L2 }.
 
 notation "hvbox( L ⊢ break term 46 T1 ➡ * break 𝐍 ⦃ term 46 T2 ⦄ )"
    non associative with precedence 45
@@ -404,21 +306,9 @@ notation "hvbox( L ⊢ break term 46 T1 ⬌ break term 46 T2 )"
    non associative with precedence 45
    for @{ 'PConv $L $T1 $T2 }.
 
-notation "hvbox( ⦃ term 46 L1 ⦄ ⬌ break ⦃ term 46 L2 ⦄ )"
-   non associative with precedence 45
-   for @{ 'FocalizedPConv $L1 $L2 }.
-
-notation "hvbox( ⦃ term 46 L1 , break term 46 T1 ⦄ ⬌ break ⦃ term 46 L2 , break term 46 T2 ⦄ )"
-   non associative with precedence 45
-   for @{ 'FocalizedPConv $L1 $T1 $L2 $T2 }.
-
-notation "hvbox( ⦃ term 46 L1 ⦄ ⬌ ⬌ break ⦃ term 46 L2 ⦄ )"
+notation "hvbox( L1 ⊢ ⬌ break term 46 L2 )"
    non associative with precedence 45
-   for @{ 'FocalizedPConvAlt $L1 $L2 }.
-
-notation "hvbox( ⦃ term 46 L1 , break term 46 T1 ⦄ ⬌ ⬌ break ⦃ term 46 L2 , break term 46 T2 ⦄ )"
-   non associative with precedence 45
-   for @{ 'FocalizedPConvAlt $L1 $T1 $L2 $T2 }.
+   for @{ 'PConvSn $L1 $L2 }.
 
 (* Equivalence **************************************************************)
 
@@ -430,21 +320,9 @@ notation "hvbox( h ⊢ break term 46 L1 • ⊑ break [ term 46 g ] break term 4
    non associative with precedence 45
    for @{ 'CrSubEqS $h $g $L1 $L2 }.
 
-notation "hvbox( ⦃ term 46 L1 ⦄ ⬌ * break ⦃ term 46 L2 ⦄ )"
-   non associative with precedence 45
-   for @{ 'FocalizedPConvStar $L1 $L2 }.
-
-notation "hvbox( ⦃ term 46 L1 , break term 46 T1 ⦄ ⬌ * break ⦃ term 46 L2 , break term 46 T2 ⦄ )"
-   non associative with precedence 45
-   for @{ 'FocalizedPConvStar $L1 $T1 $L2 $T2 }.
-
-notation "hvbox( ⦃ term 46 L1 ⦄ ⬌ ⬌ * break ⦃ term 46 L2 ⦄ )"
-   non associative with precedence 45
-   for @{ 'FocalizedPConvStarAlt $L1 $L2 }.
-
-notation "hvbox( ⦃ term 46 L1 , break term 46 T1 ⦄ ⬌ ⬌ * break ⦃ term 46 L2 , break term 46 T2 ⦄ )"
+notation "hvbox( L1 ⊢ ⬌* break term 46 L2 )"
    non associative with precedence 45
-   for @{ 'FocalizedPConvStarAlt $L1 $T1 $L2 $T2 }.
+   for @{ 'PConvSnStar $L1 $L2 }.
 
 (* Dynamic typing ***********************************************************)