X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcore_notation.moo;h=9970c9cfb6d6d331dd4847490f399e6e197ca9fb;hb=680b7493de237259ddb589a92be4b8bbc8de3cbf;hp=2ea6f331d270e15803a02728706e542e8b38dba3;hpb=6f64f2bbba6d5488cc36b8e2f5a717e866a3015d;p=helm.git diff --git a/helm/software/matita/core_notation.moo b/helm/software/matita/core_notation.moo index 2ea6f331d..9970c9cfb 100644 --- a/helm/software/matita/core_notation.moo +++ b/helm/software/matita/core_notation.moo @@ -4,9 +4,25 @@ for @{ 'exists ${default @{\lambda ${ident i} : $ty. $p} @{\lambda ${ident i} . $p}}}. -notation > "\exists ident x:A.break term 19 Px" with precedence 20 for @{ 'exists (λ${ident x}:$A.$Px) }. +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(\Sigma ident i opt (: ty) break . p)" + right associative with precedence 20 +for @{ 'sigma ${default + @{\lambda ${ident i} : $ty. $p} + @{\lambda ${ident i} . $p}}}. -notation > "\exists ident x.break term 19 Px" with precedence 20 for @{ 'exists (λ${ident x}.$Px) }. +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)} } } + }. notation "hvbox(\langle term 19 a, break term 19 b\rangle)" with precedence 90 for @{ 'pair $a $b}. @@ -91,11 +107,15 @@ notation "hvbox(a break * b)" left associative with precedence 55 for @{ 'times $a $b }. +notation "hvbox(a break \middot b)" + left associative with precedence 55 + for @{ 'middot $a $b }. + notation "hvbox(a break \mod b)" left associative with precedence 55 for @{ 'module $a $b }. -notation "\frac a b" +notation "a \frac b" non associative with precedence 90 for @{ 'divide $a $b }. @@ -114,10 +134,6 @@ notation "a !" non associative with precedence 80 for @{ 'fact $a }. -notation "(a \sup b)" - right associative with precedence 65 -for @{ 'exp $a $b}. - notation "\sqrt a" non associative with precedence 60 for @{ 'sqrt $a }. @@ -133,3 +149,79 @@ for @{ 'and $a $b }. notation "hvbox(\lnot a)" non associative with precedence 40 for @{ 'not $a }. + +notation > "hvbox(a break \liff b)" + left associative with precedence 25 +for @{ 'iff $a $b }. + +notation "hvbox(a break \leftrightarrow b)" + left associative with precedence 25 +for @{ 'iff $a $b }. + + +notation "hvbox(\Omega \sup term 90 A)" non associative with precedence 70 +for @{ 'powerset $A }. + +notation < "hvbox({ ident i | term 19 p })" with precedence 90 +for @{ 'subset (\lambda ${ident i} : $nonexistent . $p)}. + +notation > "hvbox({ ident i | term 19 p })" with precedence 90 +for @{ 'subset (\lambda ${ident i}. $p)}. + +notation < "hvbox({ ident i ∈ s | term 19 p })" with precedence 90 +for @{ 'comprehension $s (\lambda ${ident i} : $nonexistent . $p)}. + +notation > "hvbox({ ident i ∈ s | term 19 p })" with precedence 90 +for @{ 'comprehension $s (\lambda ${ident i}. $p)}. + +notation "hvbox(a break ∈ b)" non associative with precedence 45 +for @{ 'mem $a $b }. + +notation "hvbox(a break ≬ b)" non associative with precedence 45 +for @{ 'overlaps $a $b }. (* \between *) + +notation "hvbox(a break ⊆ b)" non associative with precedence 45 +for @{ 'subseteq $a $b }. (* \subseteq *) + +notation "hvbox(a break ∩ b)" non associative with precedence 55 +for @{ 'intersects $a $b }. (* \cap *) + +notation "hvbox(a break ∪ b)" non associative with precedence 50 +for @{ 'union $a $b }. (* \cup *) + +notation "hvbox({ term 19 a })" with precedence 90 for @{ 'singl $a}. + +notation "hvbox(a break \approx b)" non associative with precedence 45 + for @{ 'napart $a $b}. + +notation "hvbox(a break # b)" non associative with precedence 45 + for @{ 'apart $a $b}. + +notation "hvbox(a break \circ b)" + left associative with precedence 55 +for @{ 'compose $a $b }. + +notation < "↓ \ensp a" with precedence 55 for @{ 'downarrow $a }. +notation > "↓ a" with precedence 55 for @{ 'downarrow $a }. + +notation "hvbox(U break ↓ V)" non associative with precedence 55 for @{ 'fintersects $U $V }. + +notation "↑a" with precedence 55 for @{ 'uparrow $a }. + +notation "hvbox(a break ↑ b)" with precedence 55 for @{ 'funion $a $b }. + +notation "a \sup term 89 b" with precedence 90 for @{ 'exp $a $b}. +notation > "a ^ term 89 b" with precedence 90 for @{ 'exp $a $b}. +notation "s \sup (-1)" with precedence 90 for @{ 'invert $s }. +notation > "s ^ (-1)" with precedence 90 for @{ 'invert $s }. +notation < "s \sup (-1) x" with precedence 90 for @{ 'invert_appl $s $x}. + +notation "hvbox(|term 90 C|)" with precedence 69 for @{ 'card $C }. + +notation "\naturals" non associative with precedence 90 for @{'N}. +notation "\rationals" non associative with precedence 90 for @{'Q}. +notation "\reals" non associative with precedence 90 for @{'R}. +notation "\integers" non associative with precedence 90 for @{'Z}. +notation "\complexes" non associative with precedence 90 for @{'C}. + +notation "\ee" with precedence 90 for @{ 'neutral }. (* ⅇ *)