Using Prop conjuction on Props lowers the universes.

[helm.git] / helm / software / matita / core_notation.moo

diff --git a/helm/software/matita/core_notation.moo b/helm/software/matita/core_notation.moo
index f9346809bccc0509da6c995aae79ae422007ab09..0043825ceaf32df56b2921c88074abb7b7ac1e3b 100644 (file)
--- a/helm/software/matita/core_notation.moo
+++ b/helm/software/matita/core_notation.moo
@@ -4,14 +4,33 @@ for @{ 'exists ${default
   @{\lambda ${ident i} : $ty. $p}
   @{\lambda ${ident i} . $p}}}.
 
-axiom a : Type.
+(* Bugged notation: $T is not used if provided *)
+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)} } }
+       }.
+
+notation "hvbox(\langle term 19 a, break term 19 b\rangle)" 
+with precedence 90 for @{ 'pair $a $b}.
+
+notation "hvbox(x break \times y)" with precedence 70
+for @{ 'product $x $y}.
+
+notation < "\fst \nbsp term 90 x" with precedence 69 for @{'pi1a $x}.
+notation < "\snd \nbsp term 90 x" with precedence 69 for @{'pi2a $x}.
+
+notation < "\fst \nbsp term 90 x \nbsp term 90 y" with precedence 69 for @{'pi1b $x $y}.
+notation < "\snd \nbsp term 90 x \nbsp term 90 y" with precedence 69 for @{'pi2b $x $y}.
+
+notation > "\fst" with precedence 90 for @{'pi1}.
+notation > "\snd" with precedence 90 for @{'pi2}.
 
 notation "hvbox(a break \to b)" 
   right associative with precedence 20
 for @{ \forall $_:$a.$b }.
 
-axiom b : Type → Type.
-
 notation < "hvbox(a break \to b)" 
   right associative with precedence 20
 for @{ \Pi $_:$a.$b }.