initial properies of the "same top term constructor" predicate

[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 5fcf588334ad6043c19303cb5a31dea641864b24..7d05a2f6702028fc976b16b6724c8c4ce9bbc128 100644 (file)
--- a/matita/matita/contribs/lambda_delta/Basic_2/notation.ma
+++ b/matita/matita/contribs/lambda_delta/Basic_2/notation.ma
@@ -16,6 +16,14 @@
 
 (* Grammar ******************************************************************)
 
+notation "hvbox( ⓪ )"
+ non associative with precedence 90
+ for @{ 'Item0 }.
+
+notation "hvbox( ⓪ { I } )"
+ non associative with precedence 90
+ for @{ 'Item0 $I }.
+
 notation "hvbox( ⋆ )"
  non associative with precedence 90
  for @{ 'Star }.
@@ -32,30 +40,62 @@ notation "hvbox( § term 90 p )"
  non associative with precedence 90
  for @{ 'GRef $p }.
 
-notation "hvbox( 𝕒 { I } )"
+notation "hvbox( ② term 90 T1 . break term 90 T )"
  non associative with precedence 90
- for @{ 'SItem $I }.
+ for @{ 'SnItem2 $T1 $T }.
 
-notation "hvbox( 𝕔 { I } break term 90 T1 . break term 90 T )"
+notation "hvbox( ② { I } break term 90 T1 . break term 90 T )"
  non associative with precedence 90
- for @{ 'SItem $I $T1 $T }.
+ for @{ 'SnItem2 $I $T1 $T }.
 
-notation "hvbox( 𝕓 { I } break term 90 T1 . break term 90 T )"
+notation "hvbox( ⓑ { I } break term 90 T1 . break term 90 T )"
  non associative with precedence 90
- for @{ 'SBind $I $T1 $T }.
+ for @{ 'SnBind2 $I $T1 $T }.
 
-notation "hvbox( 𝕗 { I } break term 90 T1 . break term 90 T )"
+notation "hvbox( ⓕ { I } break term 90 T1 . break term 90 T )"
  non associative with precedence 90
- for @{ 'SFlat $I $T1 $T }.
+ for @{ 'SnFlat2 $I $T1 $T }.
 
-notation "hvbox( T . break 𝕓 { I } break term 90 T1 )"
- non associative with precedence 89
- for @{ 'DBind $T $I $T1 }.
-(*
-notation > "hvbox( T . break 𝕔 { I } break term 90 T1 )"
+notation "hvbox( ⓓ  term 90 T1 . break term 90 T2 )"
+ non associative with precedence 90
+ for @{ 'SnAbbr $T1 $T2 }.
+
+notation "hvbox( ⓛ  term 90 T1 . break term 90 T2 )"
+ non associative with precedence 90
+ for @{ 'SnAbst $T1 $T2 }.
+
+notation "hvbox( ⓐ  term 90 T1 . break term 90 T2 )"
+ non associative with precedence 90
+ for @{ 'SnAppl $T1 $T2 }.
+
+notation "hvbox( ⓣ  term 90 T1 . break term 90 T2 )"
+ non associative with precedence 90
+ for @{ 'SnCast $T1 $T2 }.
+
+notation "hvbox( Ⓐ term 90 T1 . break term 90 T )"
+ non associative with precedence 90
+ 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
- for @{ 'DBind $T $I $T1 }.
-*) (**) (* this breaks all parsing *)
+ for @{ 'DxBind2 $T $I $T1 }.
+
+notation "hvbox( T1 . break ⓓ T2 )"
+ left associative with precedence 48
+ for @{ 'DxAbbr $T1 $T2 }.
+
+notation "hvbox( T1 . break ⓛ T2 )"
+ left associative with precedence 49
+ for @{ 'DxAbst $T1 $T2 }.
+
+notation "hvbox( T . break ④ { I } break { T1 , break T2 , break T3 } )"
+ non associative with precedence 47
+ for @{ 'DxItem4 $T $I $T1 $T2 $T3 }.
+
 notation "hvbox( # [ x ] )"
  non associative with precedence 90
  for @{ 'Weight $x }.
@@ -64,126 +104,206 @@ notation "hvbox( # [ x , break y ] )"
  non associative with precedence 90
  for @{ 'Weight $x $y }.
 
-notation "hvbox( ð\9d\95\8a [ T ] )"
+notation "hvbox( ð\9d\90\92 [ T ] )"
    non associative with precedence 45
    for @{ 'Simple $T }.
 
+notation "hvbox( L ⊢ break term 90 T1 ≈ break T2 )"
+   non associative with precedence 45
+   for @{ 'Hom $L $T1 $T2 }.
+
+notation "hvbox( T1 ≃ break T2 )"
+   non associative with precedence 45
+   for @{ 'Iso $T1 $T2 }.
+
 notation "hvbox( T1 break [ d , break e ] ≼ break T2 )"
    non associative with precedence 45
    for @{ 'SubEq $T1 $d $e $T2 }.
 
 (* Substitution *************************************************************)
 
-notation "hvbox( ↑ [ d , break e ] break T1 ≡ break T2 )"
+notation "hvbox( L ⊢ break [ d , break e ] break 𝐑 [ T ] )"
+   non associative with precedence 45
+   for @{ 'Reducible $L $d $e $T }.
+
+notation "hvbox( L ⊢ break [ d , break e ] break 𝐈 [ T ] )"
+   non associative with precedence 45
+   for @{ 'NotReducible $L $d $e $T }.
+
+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 )"
    non associative with precedence 45
    for @{ 'RLift $d $e $T1 $T2 }.
 
-notation "hvbox( ↓ [ d , break e ] break L1 ≡ break L2 )"
+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 }.
 
-notation "hvbox( T1 break [ d , break e ] â\89« break T2 )"
+notation "hvbox( T1 break [ d , break e ] â\96¶ break T2 )"
    non associative with precedence 45
    for @{ 'PSubst $T1 $d $e $T2 }.
 
-notation "hvbox( L â\8a¢ break term 90 T1 break [ d , break e ] â\89« break T2 )"
+notation "hvbox( L â\8a¢ break term 90 T1 break [ d , break e ] â\96¶ break T2 )"
    non associative with precedence 45
    for @{ 'PSubst $L $T1 $d $e $T2 }.
 
 (* Unfold *******************************************************************)
 
-notation "hvbox( T1 break [ d , break e ] ≫* break T2 )"
+notation "hvbox( @ [ T1 ] break f ≡ break T2 )"
+   non associative with precedence 45
+   for @{ 'RAt $T1 $f $T2 }.
+
+notation "hvbox( T1 ▭ break T2 ≡ break T )"
+   non associative with precedence 45
+   for @{ 'RMinus $T1 $T2 $T }.
+
+notation "hvbox( ⇧ * [ e ] break T1 ≡ break T2 )"
+   non associative with precedence 45
+   for @{ 'RLiftStar $e $T1 $T2 }.
+
+notation "hvbox( ⇩ * [ e ] break L1 ≡ break L2 )"
+   non associative with precedence 45
+   for @{ 'RDropStar $e $L1 $L2 }.
+
+notation "hvbox( T1 break [ d , break e ] ▶* break T2 )"
    non associative with precedence 45
    for @{ 'PSubstStar $T1 $d $e $T2 }.
 
-notation "hvbox( L â\8a¢ break term 90 T1 break [ d , break e ] â\89«* break T2 )"
+notation "hvbox( L â\8a¢ break term 90 T1 break [ d , break e ] â\96¶* break T2 )"
    non associative with precedence 45
    for @{ 'PSubstStar $L $T1 $d $e $T2 }.
 
+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 }.
+
+notation "hvbox( T1 ÷ ⊑ break T2 )"
+   non associative with precedence 45
+   for @{ 'CrSubEqA $T1 $T2 }.
+
 (* Reducibility *************************************************************)
 
-notation "hvbox( ℝ [ T ] )"
+notation "hvbox( 𝐑 [ T ] )"
    non associative with precedence 45
    for @{ 'Reducible $T }.
 
-notation "hvbox( L ⊢ ℝ [ T ] )"
+notation "hvbox( L ⊢ break 𝐑 [ T ] )"
    non associative with precedence 45
    for @{ 'Reducible $L $T }.
 
-notation "hvbox( ð\9d\95\80 [ T ] )"
+notation "hvbox( ð\9d\90\88 [ T ] )"
    non associative with precedence 45
    for @{ 'NotReducible $T }.
 
-notation "hvbox( L ⊢ 𝕀 [ T ] )"
+notation "hvbox( L ⊢ break 𝐈 [ T ] )"
    non associative with precedence 45
    for @{ 'NotReducible $L $T }.
 
-notation "hvbox( ℕ [ T ] )"
+notation "hvbox( 𝐍 [ T ] )"
    non associative with precedence 45
    for @{ 'Normal $T }.
 
-notation "hvbox( L ⊢ ℕ [ T ] )"
+notation "hvbox( L ⊢ break 𝐍 [ T ] )"
    non associative with precedence 45
    for @{ 'Normal $L $T }.
 
-notation "hvbox( ð\9d\95\8eâ\84\8dâ\84\9d [ T ] )"
+notation "hvbox( ð\9d\90\96ð\9d\90\87ð\9d\90\91 [ T ] )"
    non associative with precedence 45
    for @{ 'WHdReducible $T }.
 
-notation "hvbox( L ⊢ 𝕎ℍℝ [ T ] )"
+notation "hvbox( L ⊢ break 𝐖𝐇𝐑 [ T ] )"
    non associative with precedence 45
    for @{ 'WHdReducible $L $T }.
 
-notation "hvbox( ð\9d\95\8eâ\84\8dð\9d\95\80 [ T ] )"
+notation "hvbox( ð\9d\90\96ð\9d\90\87ð\9d\90\88 [ T ] )"
    non associative with precedence 45
    for @{ 'NotWHdReducible $T }.
 
-notation "hvbox( L ⊢ 𝕎ℍ𝕀 [ T ] )"
+notation "hvbox( L ⊢ break 𝐖𝐇𝐈 [ T ] )"
    non associative with precedence 45
    for @{ 'NotWHdReducible $L $T }.
 
-notation "hvbox( ð\9d\95\8eâ\84\8dâ\84\95 [ T ] )"
+notation "hvbox( ð\9d\90\96ð\9d\90\87ð\9d\90\8d [ T ] )"
    non associative with precedence 45
    for @{ 'WHdNormal $T }.
 
-notation "hvbox( L ⊢ 𝕎ℍℕ [ T ] )"
+notation "hvbox( L ⊢ break 𝐖𝐇𝐍 [ T ] )"
    non associative with precedence 45
    for @{ 'WHdNormal $L $T }.
 
-notation "hvbox( T1 â\87\92 break T2 )"
+notation "hvbox( T1 â\9e¡ break T2 )"
    non associative with precedence 45
    for @{ 'PRed $T1 $T2 }.
 
-notation "hvbox( L â\8a¢ break term 90 T1 â\87\92 break T2 )"
+notation "hvbox( L â\8a¢ break term 90 T1 â\9e¡ break T2 )"
    non associative with precedence 45
    for @{ 'PRed $L $T1 $T2 }.
 
-notation "hvbox( L1 â\8a¢ â\87\92 break L2 )"
+notation "hvbox( L1 â\8a¢ â\9e¡ break L2 )"
    non associative with precedence 45
    for @{ 'CPRed $L1 $L2 }.
 
 (* Computation **************************************************************)
 
-notation "hvbox( T1 â\87\92* break T2 )"
+notation "hvbox( T1 â\9e¡* break T2 )"
    non associative with precedence 45
    for @{ 'PRedStar $T1 $T2 }.
 
-notation "hvbox( L â\8a¢ break term 90 T1 â\87\92* break T2 )"
+notation "hvbox( L â\8a¢ break term 90 T1 â\9e¡* break T2 )"
    non associative with precedence 45
    for @{ 'PRedStar $L $T1 $T2 }.
 
-notation "hvbox( L1 â\8a¢ â\87\92* break L2 )"
+notation "hvbox( L1 â\8a¢ â\9e¡* break L2 )"
    non associative with precedence 45
    for @{ 'CPRedStar $L1 $L2 }.
 
-notation "hvbox( â\87\93 T  )"
+notation "hvbox( â¬\87 * T  )"
    non associative with precedence 45
    for @{ 'SN $T }.
 
-notation "hvbox( L â\8a¢ â\87\93 T )"
+notation "hvbox( L â\8a¢ â¬\87 * T )"
    non associative with precedence 45
    for @{ 'SN $L $T }.
+
+notation "hvbox( L ⊢ ⬇ * * T )"
+   non associative with precedence 45
+   for @{ 'SNStar $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 )"
+   non associative with precedence 45
+   for @{ 'CrSubEq $T1 $R $T2 }.
+
+(* Functional ***************************************************************)
+
+notation "hvbox( ↑ [ d , break e ] break T )"
+   non associative with precedence 55
+   for @{ 'Lift $d $e $T }.
+
+notation "hvbox( [ d ← break V ] break T )"
+   non associative with precedence 55
+   for @{ 'Subst $V $d $T }.
+
+notation "hvbox( T1 ⇨ break T2 )"
+   non associative with precedence 45
+   for @{ 'SRed $T1 $T2 }.