@{ ${ fold right @{$Px} rec acc @{'exists (λ${ident x}.$acc)} } }
}.
+notation > "hvbox(∃∃ ident x0 break . term 19 P0 break & term 19 P1)"
+ non associative with precedence 20
+ for @{ 'exists2 (λ${ident x0}.$P0) (λ${ident x0}.$P1) }.
+
+notation < "hvbox(∃∃ ident x0 break . term 19 P0 break & term 19 P1)"
+ non associative with precedence 20
+ for @{ 'exists2 (λ${ident x0}:$T0.$P0) (λ${ident x0}:$T0.$P1) }.
+
(* sigma ********************************************************************)
notation < "hvbox(\Sigma ident i : ty break . p)"
for @{ 'ndivides $a $b }.
notation "hvbox(a break + b)"
- left associative with precedence 50
+ left associative with precedence 55
for @{ 'plus $a $b }.
notation "hvbox(a break - b)"
- left associative with precedence 50
+ left associative with precedence 55
for @{ 'minus $a $b }.
notation "hvbox(a break * b)"
- left associative with precedence 55
+ left associative with precedence 60
for @{ 'times $a $b }.
notation "hvbox(a break \middot b)"
- left associative with precedence 55
+ left associative with precedence 60
for @{ 'middot $a $b }.
notation "hvbox(a break \mod b)"
- left associative with precedence 55
+ left associative with precedence 60
for @{ 'module $a $b }.
notation < "a \frac b"
for @{ 'divide $a $b }.
notation "a \over b"
- left associative with precedence 55
+ left associative with precedence 60
for @{ 'divide $a $b }.
notation "hvbox(a break / b)"
- left associative with precedence 55
+ left associative with precedence 60
for @{ 'divide $a $b }.
-notation "- term 60 a" with precedence 60
+notation "- term 65 a" with precedence 65
for @{ 'uminus $a }.
notation "a !"
for @{ 'fact $a }.
notation "\sqrt a"
- non associative with precedence 60
+ non associative with precedence 65
for @{ 'sqrt $a }.
notation "hvbox(a break \lor b)"
notation "hvbox(a break ⊆ b)" non associative with precedence 45
for @{ 'subseteq $a $b }. (* \subseteq *)
-notation "hvbox(a break ∩ b)" left associative with precedence 55
+notation "hvbox(a break ∩ b)" left associative with precedence 60
for @{ 'intersects $a $b }. (* \cap *)
-notation "hvbox(a break ∪ b)" left associative with precedence 50
+notation "hvbox(a break ∪ b)" left associative with precedence 55
for @{ 'union $a $b }. (* \cup *)
notation "hvbox({ term 19 a })" with precedence 90 for @{ 'singl $a}.
for @{ 'apart $a $b}.
notation "hvbox(a break \circ b)"
- left associative with precedence 55
+ left associative with precedence 60
for @{ 'compose $a $b }.
-notation < "↓ \ensp a" with precedence 55 for @{ 'downarrow $a }.
-notation > "↓ a" with precedence 55 for @{ 'downarrow $a }.
+notation < "↓ \ensp a" with precedence 60 for @{ 'downarrow $a }.
+notation > "↓ a" with precedence 60 for @{ 'downarrow $a }.
-notation "hvbox(U break ↓ V)" non associative with precedence 55 for @{ 'fintersects $U $V }.
+notation "hvbox(U break ↓ V)" non associative with precedence 60 for @{ 'fintersects $U $V }.
-notation "↑a" with precedence 55 for @{ 'uparrow $a }.
+notation "↑a" with precedence 60 for @{ 'uparrow $a }.
-notation "hvbox(a break ↑ b)" with precedence 55 for @{ 'funion $a $b }.
+notation "hvbox(a break ↑ b)" with precedence 60 for @{ 'funion $a $b }.
notation < "term 76 a \sup term 90 b" non associative with precedence 75 for @{ 'exp $a $b}.
notation > "a \sup term 90 b" non associative with precedence 75 for @{ 'exp $a $b}.
notation > "x ⊩ y" with precedence 45 for @{'Vdash2 $x $y ?}.
notation > "x ⊩⎽ term 90 c y" with precedence 45 for @{'Vdash2 $x $y $c}.
notation "x (⊩ \sub term 90 c) y" with precedence 45 for @{'Vdash2 $x $y $c}.
-notation > "⊩ " with precedence 60 for @{'Vdash ?}.
-notation "(⊩ \sub term 90 c) " with precedence 60 for @{'Vdash $c}.
+notation > "⊩ " with precedence 65 for @{'Vdash ?}.
+notation "(⊩ \sub term 90 c) " with precedence 65 for @{'Vdash $c}.
notation < "maction (mstyle color #ff0000 (…)) (t)"
non associative with precedence 90 for @{'hide $t}.