-(* exists *******************************************************************)
-
-notation < "hvbox(\exists ident i : ty break . p)"
- with precedence 20
-for @{'exists (\lambda ${ident i} : $ty. $p) }.
-
-notation < "hvbox(\exists ident i break . p)"
- with precedence 20
-for @{'exists (\lambda ${ident i}. $p) }.
-
-(*
notation < "hvbox(\exists ident i opt (: ty) break . p)"
- with precedence 20
+ right associative with precedence 20
for @{ 'exists ${default
@{\lambda ${ident i} : $ty. $p}
@{\lambda ${ident i} . $p}}}.
-*)
-notation > "\exists list1 ident x sep , : T. term 19 Px"
- with precedence 20
-for
- @{ ${ fold right @{$Px} rec acc @{'exists (λ${ident x}:$T.$acc)} } }.
-
-notation > "\exists list1 ident x sep , . term 19 Px"
- with precedence 20
-for
- @{ ${ fold right @{$Px} rec acc @{'exists (λ${ident x}.$acc)} } }.
-
-(*
notation > "\exists list1 ident x sep , opt (: T). term 19 Px"
with precedence 20
for ${ default
@{ ${ fold right @{$Px} rec acc @{'exists (λ${ident x}:$T.$acc)} } }
@{ ${ fold right @{$Px} rec acc @{'exists (λ${ident x}.$acc)} } }
}.
-*)
-
-(* sigma ********************************************************************)
-notation < "hvbox(\Sigma ident i : ty break . p)"
- with precedence 20
-for @{'sigma (\lambda ${ident i} : $ty. $p) }.
-
-notation < "hvbox(\Sigma ident i break . p)"
- with precedence 20
-for @{'sigma (\lambda ${ident i}. $p) }.
-
-(*
notation < "hvbox(\Sigma ident i opt (: ty) break . p)"
- with precedence 20
+ right associative with precedence 20
for @{ 'sigma ${default
@{\lambda ${ident i} : $ty. $p}
@{\lambda ${ident i} . $p}}}.
-*)
-notation > "\Sigma list1 ident x sep , : T. term 19 Px"
- with precedence 20
-for
- @{ ${ fold right @{$Px} rec acc @{'sigma (λ${ident x}:$T.$acc)} } }.
-
-notation > "\Sigma list1 ident x sep , . term 19 Px"
- with precedence 20
-for
- @{ ${ fold right @{$Px} rec acc @{'sigma (λ${ident x}.$acc)} } }.
-
-(*
notation > "\Sigma list1 ident x sep , opt (: T). term 19 Px"
with precedence 20
for ${ default
@{ ${ fold right @{$Px} rec acc @{'sigma (λ${ident x}:$T.$acc)} } }
@{ ${ fold right @{$Px} rec acc @{'sigma (λ${ident x}.$acc)} } }
}.
-*)
-
-(* other notations **********************************************************)
notation "hvbox(\langle term 19 a, break term 19 b\rangle)"
with precedence 90 for @{ 'pair $a $b}.