X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambda_delta%2Fbasic_2%2Fnotation.ma;h=3051f1e113d4d93294e524bec55bd1344974d8bb;hb=2ba7ef901a6b72210692792f2396c08bc0cff52c;hp=d8ab202ff553b1a52230969997da012b1c42ed4a;hpb=6ebf3e5a09012b3349c6020fe692c3b22020684a;p=helm.git diff --git a/matita/matita/contribs/lambda_delta/basic_2/notation.ma b/matita/matita/contribs/lambda_delta/basic_2/notation.ma index d8ab202ff..3051f1e11 100644 --- a/matita/matita/contribs/lambda_delta/basic_2/notation.ma +++ b/matita/matita/contribs/lambda_delta/basic_2/notation.ma @@ -40,48 +40,48 @@ notation "hvbox( § term 90 p )" non associative with precedence 90 for @{ 'GRef $p }. -notation "hvbox( ② term 90 T1 . break term 90 T )" - non associative with precedence 90 +notation "hvbox( ② term 55 T1 . break term 55 T )" + non associative with precedence 55 for @{ 'SnItem2 $T1 $T }. -notation "hvbox( ② { I } break term 90 T1 . break term 90 T )" - non associative with precedence 90 +notation "hvbox( ② { I } break term 55 T1 . break term 55 T )" + non associative with precedence 55 for @{ 'SnItem2 $I $T1 $T }. -notation "hvbox( ⓑ { I } break term 90 T1 . break term 90 T )" - non associative with precedence 90 +notation "hvbox( ⓑ { I } break term 55 T1 . break term 55 T )" + non associative with precedence 55 for @{ 'SnBind2 $I $T1 $T }. -notation "hvbox( ⓕ { I } break term 90 T1 . break term 90 T )" - non associative with precedence 90 +notation "hvbox( ⓕ { I } break term 55 T1 . break term 55 T )" + non associative with precedence 55 for @{ 'SnFlat2 $I $T1 $T }. -notation "hvbox( ⓓ term 90 T1 . break term 90 T2 )" - non associative with precedence 90 +notation "hvbox( ⓓ term 55 T1 . break term 55 T2 )" + non associative with precedence 55 for @{ 'SnAbbr $T1 $T2 }. -notation "hvbox( ⓛ term 90 T1 . break term 90 T2 )" - non associative with precedence 90 +notation "hvbox( ⓛ term 55 T1 . break term 55 T2 )" + non associative with precedence 55 for @{ 'SnAbst $T1 $T2 }. -notation "hvbox( ⓐ term 90 T1 . break term 90 T2 )" - non associative with precedence 90 +notation "hvbox( ⓐ term 55 T1 . break term 55 T2 )" + non associative with precedence 55 for @{ 'SnAppl $T1 $T2 }. -notation "hvbox( ⓣ term 90 T1 . break term 90 T2 )" - non associative with precedence 90 +notation "hvbox( ⓣ term 55 T1 . break term 55 T2 )" + non associative with precedence 55 for @{ 'SnCast $T1 $T2 }. -notation "hvbox( Ⓐ term 90 T1 . break term 90 T )" - non associative with precedence 90 +notation "hvbox( Ⓐ term 55 T1 . break term 55 T )" + non associative with precedence 55 for @{ 'SnApplV $T1 $T }. notation > "hvbox( T . break ②{ I } break term 47 T1 )" non associative with precedence 46 for @{ 'DxBind2 $T $I $T1 }. -notation "hvbox( T . break ⓑ { I } break term 90 T1 )" - non associative with precedence 89 +notation "hvbox( T . break ⓑ { I } break term 48 T1 )" + non associative with precedence 47 for @{ 'DxBind2 $T $I $T1 }. notation "hvbox( T1 . break ⓓ T2 )" @@ -93,7 +93,7 @@ notation "hvbox( T1 . break ⓛ T2 )" for @{ 'DxAbst $T1 $T2 }. notation "hvbox( T . break ④ { I } break { T1 , break T2 , break T3 } )" - non associative with precedence 47 + non associative with precedence 50 for @{ 'DxItem4 $T $I $T1 $T2 $T3 }. notation "hvbox( # [ x ] )" @@ -108,15 +108,15 @@ notation "hvbox( 𝐒 [ T ] )" non associative with precedence 45 for @{ 'Simple $T }. -notation "hvbox( L ⊢ break term 90 T1 ≈ break T2 )" +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 T2 )" +notation "hvbox( T1 ≃ break term 46 T2 )" non associative with precedence 45 for @{ 'Iso $T1 $T2 }. -notation "hvbox( T1 break [ d , break e ] ≼ break T2 )" +notation "hvbox( T1 break [ d , break e ] ≼ break term 46 T2 )" non associative with precedence 45 for @{ 'SubEq $T1 $d $e $T2 }. @@ -134,78 +134,100 @@ notation "hvbox( L ⊢ break [ d , break e ] break 𝐍 [ T ] )" non associative with precedence 45 for @{ 'Normal $L $d $e $T }. -notation "hvbox( ⇧ [ d , break e ] break T1 ≡ break T2 )" +notation "hvbox( ⇧ [ d , break e ] break term 46 T1 ≡ break term 46 T2 )" non associative with precedence 45 for @{ 'RLift $d $e $T1 $T2 }. -notation "hvbox( ⇩ [ e ] break L1 ≡ break L2 )" +notation "hvbox( ⇩ [ e ] break term 46 L1 ≡ break term 46 L2 )" non associative with precedence 45 for @{ 'RDrop $e $L1 $L2 }. -notation "hvbox( ⇩ [ d , break e ] break L1 ≡ break L2 )" +notation "hvbox( ⇩ [ d , break e ] break term 46 L1 ≡ break term 46 L2 )" non associative with precedence 45 for @{ 'RDrop $d $e $L1 $L2 }. -notation "hvbox( L ⊢ break ⌘ [ T ] ≡ break k )" +notation "hvbox( L ⊢ break ⌘ [ T ] ≡ break term 46 k )" non associative with precedence 45 for @{ 'ICM $L $T $k }. -notation "hvbox( L ⊢ break term 90 T1 break [ d , break e ] ▶ break T2 )" +notation "hvbox( L ⊢ break term 46 T1 break [ d , break e ] ▶ break term 46 T2 )" non associative with precedence 45 for @{ 'PSubst $L $T1 $d $e $T2 }. (* Unfold *******************************************************************) -notation "hvbox( @ [ T1 ] break f ≡ break T2 )" +notation "hvbox( @ [ T1 ] break term 46 f ≡ break term 46 T2 )" non associative with precedence 45 for @{ 'RAt $T1 $f $T2 }. -notation "hvbox( T1 ▭ break T2 ≡ break T )" +notation "hvbox( T1 ▭ break term 46 T2 ≡ break term 46 T )" non associative with precedence 45 for @{ 'RMinus $T1 $T2 $T }. -notation "hvbox( ⇧ * [ e ] break T1 ≡ break T2 )" +notation "hvbox( ⇧ * [ e ] break term 46 T1 ≡ break term 46 T2 )" non associative with precedence 45 for @{ 'RLiftStar $e $T1 $T2 }. -notation "hvbox( ⇩ * [ e ] break L1 ≡ break L2 )" +notation "hvbox( ⇩ * [ e ] break term 46 L1 ≡ break term 46 L2 )" non associative with precedence 45 for @{ 'RDropStar $e $L1 $L2 }. -notation "hvbox( T1 break [ d , break e ] ▶* break T2 )" +notation "hvbox( T1 break [ d , break e ] ▶* break term 46 T2 )" non associative with precedence 45 for @{ 'PSubstStar $T1 $d $e $T2 }. -notation "hvbox( L ⊢ break term 90 T1 break [ d , break e ] ▶* break T2 )" +notation "hvbox( L ⊢ break term 46 T1 break [ d , break e ] ▶* break term 46 T2 )" non associative with precedence 45 for @{ 'PSubstStar $L $T1 $d $e $T2 }. -notation "hvbox( L ⊢ break term 90 T1 break [ d , break e ] ▶▶* break T2 )" +notation "hvbox( L ⊢ break term 46 T1 break [ d , break e ] ▶▶* break term 46 T2 )" non associative with precedence 45 for @{ 'PSubstStarAlt $L $T1 $d $e $T2 }. -notation "hvbox( T1 break [ d , break e ] ▶** break T2 )" - non associative with precedence 45 - for @{ 'PSubstStars $T1 $d $e $T2 }. - -notation "hvbox( T1 break [ d , break e ] ≡ break T2 )" +notation "hvbox( T1 break [ d , break e ] ≡ break term 46 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 )" +notation "hvbox( L ⊢ break term 46 T1 break [ d , break e ] ≡ break term 46 T2 )" non associative with precedence 45 for @{ 'TSubst $L $T1 $d $e $T2 }. -(* Static Typing ************************************************************) +notation "hvbox( T1 break [ d , break e ] ≡≡ break term 46 T2 )" + non associative with precedence 45 + for @{ 'TSubstAlt $T1 $d $e $T2 }. + +notation "hvbox( L ⊢ break term 46 T1 break [ d , break e ] ≡≡ break term 46 T2 )" + non associative with precedence 45 + for @{ 'TSubstAlt $L $T1 $d $e $T2 }. + +(* Static typing ************************************************************) -notation "hvbox( L ⊢ break term 90 T ÷ break A )" +notation "hvbox( L ⊢ break term 46 T ⁝ break term 46 A )" non associative with precedence 45 for @{ 'AtomicArity $L $T $A }. -notation "hvbox( T1 ÷ ⊑ break T2 )" +notation "hvbox( T1 ⁝ ⊑ break term 46 T2 )" non associative with precedence 45 for @{ 'CrSubEqA $T1 $T2 }. +notation "hvbox( L ⊢ break term 46 T ÷ break term 46 A )" + non associative with precedence 45 + for @{ 'BinaryArity $L $T $A }. + +notation "hvbox( T1 ÷ ⊑ break term 46 T2 )" + non associative with precedence 45 + for @{ 'CrSubEqB $T1 $T2 }. + +notation "hvbox( ⦃ h , break L ⦄ ⊢ break term 46 T1 • break term 46 T2 )" + non associative with precedence 45 + for @{ 'StaticType $h $L $T1 $T2 }. + +(* Unwind *******************************************************************) + +notation "hvbox( ⦃ h , break L ⦄ ⊢ break term 46 T1 •* break term 46 T2 )" + non associative with precedence 45 + for @{ 'StaticTypeStar $h $L $T1 $T2 }. + (* Reducibility *************************************************************) notation "hvbox( 𝐑 [ T ] )" @@ -256,72 +278,86 @@ notation "hvbox( L ⊢ break 𝐖𝐇𝐍 [ T ] )" non associative with precedence 45 for @{ 'WHdNormal $L $T }. -notation "hvbox( T1 ➡ break T2 )" +notation "hvbox( T1 ➡ break term 46 T2 )" non associative with precedence 45 for @{ 'PRed $T1 $T2 }. -notation "hvbox( L ⊢ break term 90 T1 ➡ break T2 )" +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 L2 )" +notation "hvbox( L1 ⊢ ➡ break term 46 L2 )" non associative with precedence 45 for @{ 'CPRed $L1 $L2 }. (* Computation **************************************************************) -notation "hvbox( T1 ➡* break T2 )" +notation "hvbox( T1 ➡* break term 46 T2 )" non associative with precedence 45 for @{ 'PRedStar $T1 $T2 }. -notation "hvbox( L ⊢ break term 90 T1 ➡* break 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 L2 )" +notation "hvbox( L1 ⊢ ➡* break term 46 L2 )" non associative with precedence 45 for @{ 'CPRedStar $L1 $L2 }. -notation "hvbox( L ⊢ break term 90 T1 ➡* break 𝐍 [ T2 ] )" +notation "hvbox( L ⊢ break term 46 T1 ➡* break 𝐍 [ T2 ] )" non associative with precedence 45 for @{ 'PEval $L $T1 $T2 }. -notation "hvbox( ⬇ * T )" +notation "hvbox( ⬇ * term 46 T )" non associative with precedence 45 for @{ 'SN $T }. -notation "hvbox( L ⊢ ⬇ * T )" +notation "hvbox( L ⊢ ⬇ * term 46 T )" non associative with precedence 45 for @{ 'SN $L $T }. -notation "hvbox( L ⊢ ⬇ * * T )" +notation "hvbox( L ⊢ ⬇ ⬇ * term 46 T )" non associative with precedence 45 - for @{ 'SNStar $L $T }. + for @{ 'SNAlt $L $T }. notation "hvbox( ⦃ L, break T ⦄ break [ R ] ϵ break 〚 A 〛 )" non associative with precedence 45 for @{ 'InEInt $R $L $T $A }. -notation "hvbox( T1 break [ R ] ⊑ break T2 )" +notation "hvbox( T1 break [ R ] ⊑ break term 46 T2 )" non associative with precedence 45 for @{ 'CrSubEq $T1 $R $T2 }. (* Conversion ***************************************************************) -notation "hvbox( L ⊢ break term 90 T1 ⬌ break T2 )" +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 T2 )" +notation "hvbox( T1 ⊢ ⬌ break term 46 T2 )" non associative with precedence 45 for @{ 'CPConv $T1 $T2 }. (* Equivalence **************************************************************) -notation "hvbox( L ⊢ break term 90 T1 ⬌* break T2 )" +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 T2 )" +notation "hvbox( T1 ⊢ ⬌* break term 46 T2 )" non associative with precedence 45 for @{ 'CPConvStar $T1 $T2 }. + +(* Dynamic typing ***********************************************************) + +notation "hvbox( ⦃ h , break L ⦄ ⊢ break term 46 T1 : break term 46 T2 )" + non associative with precedence 45 + for @{ 'NativeType $h $L $T1 $T2 }. + +notation "hvbox( ⦃ h , break L ⦄ ⊢ break term 46 T1 :: break term 46 T2 )" + non associative with precedence 45 + for @{ 'NativeTypeAlt $h $L $T1 $T2 }. + +notation "hvbox( h ⊢ break term 46 L1 : ⊑ break term 46 L2 )" + non associative with precedence 45 + for @{ 'CrSubEqN $h $L1 $L2 }.