X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;ds=sidebyside;f=matita%2Fmatita%2Fcontribs%2Flambda_delta%2FBasic_2%2Fnotation.ma;h=4d71723d0c11b9bc9daa443f17547ad6d66599e7;hb=35653f628dc3a3e665fee01acc19c660c9d555e3;hp=aa5cba8b940a9bbfc5ff878cf34bb3f36d30508c;hpb=78f21d7d9014e5c7655f58239e4f1a128ea2c558;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 aa5cba8b9..4d71723d0 100644 --- 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 }. +