OpenMath Signatures

---

Type System: sts
Content Dictionary: set1
CD Signature File: set1.sts

---

official

               
Date:  1999-04-13
Author: David Carlisle

            

---

cartesian_product

<OMOBJ xmlns="http://www.openmath.org/OpenMath"> 
  <OMA>
    <OMS cd="sts" name="mapsto"/>
    <OMA>
      <OMS cd="sts" name="nary"/>
      <OMA>
        <OMS cd="sts" name="structure"/>
	<OMV name="Set"/>
      </OMA>
    </OMA>
    <OMA>
      <OMS cd="sts" name="structure"/>
      <OMV name="Set1"/>
    </OMA>
  </OMA>
</OMOBJ>

( ( Set ^* ) >> Set1 )

Content Dictionary Entry.

---

[First: ] [Last: ] [Top]

---

---

map

<OMOBJ xmlns="http://www.openmath.org/OpenMath"> 
 <OMA>
  <OMS cd="sts" name="mapsto"/>
    <OMA>
      <OMS cd="sts" name="mapsto"/>
      <OMS cd="sts" name="Object"/>
      <OMS cd="sts" name="Object"/>
    </OMA>
    <OMV name="Set"/>
    <OMV name="Set"/>
 </OMA>
</OMOBJ>

( ( Object >> Object ) Set >> Set )

Content Dictionary Entry.

---

[First: ] [Last: ] [Top]

---

---

suchthat

<OMOBJ xmlns="http://www.openmath.org/OpenMath"> 
 <OMA>
  <OMS cd="sts" name="mapsto"/>
    <OMA>
      <OMS name="structure" cd="sts"/>
      <OMV name="Set"/>
    </OMA>
    <OMA>
      <OMS name="mapsto" cd="sts"/>
      <OMV name="Set"/>
      <OMS name="Boolean" cd="setname2"/>
    </OMA>
    <OMA>
      <OMS name="structure" cd="sts"/>
      <OMV name="Set"/>
    </OMA>
 </OMA>
</OMOBJ>

( Set ( Set >> Boolean ) >> Set )

Content Dictionary Entry.

---

[First: ] [Last: ] [Top]

---

---

emptyset

 <OMOBJ xmlns="http://www.openmath.org/OpenMath"> 
   <OMV name="Set"/>
 </OMOBJ>

Set

Content Dictionary Entry.

---

[First: ] [Last: ] [Top]

---

---

size

<OMOBJ xmlns="http://www.openmath.org/OpenMath"> 
 <OMA>
   <OMS name="mapsto" cd="sts"/>
    <OMV name="Set"/>
    <OMV name="CardinalNumber"/>
 </OMA>
</OMOBJ>

( Set >> CardinalNumber )

Content Dictionary Entry.

---

[First: ] [Last: ] [Top]

---

---

set

<OMOBJ xmlns="http://www.openmath.org/OpenMath"> 
 <OMA>
  <OMS name="mapsto" cd="sts"/>
   <OMA>
    <OMS name="nary" cd="sts"/>
     <OMS name="Object" cd="sts"/>
   </OMA>
  <OMV name="Set"/>
 </OMA>
</OMOBJ>

( ( Object ^* ) >> Set )

Content Dictionary Entry.

---

[First: ] [Last: ] [Top]

---

---

intersect

<OMOBJ xmlns="http://www.openmath.org/OpenMath"> 
 <OMA>
   <OMS name="mapsto" cd="sts"/>
    <OMA>
     <OMS name="nassoc" cd="sts"/>
     <OMV name="Set"/>
    </OMA>
    <OMV name="Set"/>
 </OMA>
</OMOBJ>

( ( Set ^*assoc ) >> Set )

Content Dictionary Entry.

---

[First: ] [Last: ] [Top]

---

---

union

<OMOBJ xmlns="http://www.openmath.org/OpenMath"> 
 <OMA>
   <OMS name="mapsto" cd="sts"/>
    <OMA>
     <OMS name="nassoc" cd="sts"/>
     <OMV name="Set"/>
    </OMA>
    <OMV name="Set"/>
 </OMA>
</OMOBJ>

( ( Set ^*assoc ) >> Set )

Content Dictionary Entry.

---

[First: ] [Last: ] [Top]

---

---

setdiff

<OMOBJ xmlns="http://www.openmath.org/OpenMath"> 
 <OMA>
   <OMS name="mapsto" cd="sts"/>
    <OMV name="Set"/>
    <OMV name="Set"/>
    <OMV name="Set"/>
 </OMA>
</OMOBJ>

( Set Set >> Set )

Content Dictionary Entry.

---

[First: ] [Last: ] [Top]

---

---

subset

<OMOBJ xmlns="http://www.openmath.org/OpenMath"> 
 <OMA>
   <OMS name="mapsto" cd="sts"/>
    <OMV name="Set"/>
    <OMV name="Set"/>
    <OMS cd="setname2" name="Boolean"/>
 </OMA>
</OMOBJ>

( Set Set >> Boolean )

Content Dictionary Entry.

---

[First: ] [Last: ] [Top]

---

---

in

<OMOBJ xmlns="http://www.openmath.org/OpenMath"> 
 <OMA>
   <OMS name="mapsto" cd="sts"/>
    <OMS name="Object" cd="sts"/>
    <OMV name="Set"/>
    <OMS cd="setname2" name="Boolean"/>
 </OMA>
</OMOBJ>

( Object Set >> Boolean )

Content Dictionary Entry.

---

[First: ] [Last: ] [Top]

---

---

notin

<OMOBJ xmlns="http://www.openmath.org/OpenMath"> 
 <OMA>
   <OMS name="mapsto" cd="sts"/>
    <OMS name="Object" cd="sts"/>
    <OMV name="Set"/>
    <OMS cd="setname2" name="Boolean"/>
 </OMA>
</OMOBJ>

( Object Set >> Boolean )

Content Dictionary Entry.

---

[First: ] [Last: ] [Top]

---

---

prsubset

<OMOBJ xmlns="http://www.openmath.org/OpenMath"> 
 <OMA>
   <OMS name="mapsto" cd="sts"/>
    <OMV name="Set"/>
    <OMV name="Set"/>
    <OMS cd="setname2" name="Boolean"/>
 </OMA>
</OMOBJ>

( Set Set >> Boolean )

Content Dictionary Entry.

---

[First: ] [Last: ] [Top]

---

---

notsubset

<OMOBJ xmlns="http://www.openmath.org/OpenMath"> 
 <OMA>
   <OMS name="mapsto" cd="sts"/>
    <OMV name="Set"/>
    <OMV name="Set"/>
    <OMS cd="setname2" name="Boolean"/>
 </OMA>
</OMOBJ>

( Set Set >> Boolean )

Content Dictionary Entry.

---

[First: ] [Last: ] [Top]

---

---

notprsubset

<OMOBJ xmlns="http://www.openmath.org/OpenMath"> 
 <OMA>
   <OMS name="mapsto" cd="sts"/>
    <OMV name="Set"/>
    <OMV name="Set"/>
    <OMS cd="setname2" name="Boolean"/>
 </OMA>
</OMOBJ>

( Set Set >> Boolean )

Content Dictionary Entry.

---

[First: ] [Last: ] [Top]

---