OpenMath Signatures

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Type System: sts
Content Dictionary: fns1
CD Signature File: fns1.sts

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official

               
Date:  2009-04-01
Author: David Carlisle

            

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identity

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

( Object >> Object )

Content Dictionary Entry.

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left_inverse

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

( ( ( Object ^* ) >> ( Object ^* ) ) >> ( ( Object ^* ) >> ( Object ^* ) ) )

Content Dictionary Entry.

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right_inverse

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

( ( ( Object ^* ) >> ( Object ^* ) ) >> ( ( Object ^* ) >> ( Object ^* ) ) )

Content Dictionary Entry.

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inverse

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

( ( ( Object ^* ) >> ( Object ^* ) ) >> ( ( Object ^* ) >> ( Object ^* ) ) )

Content Dictionary Entry.

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domain

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

( ( ( Object ^* ) >> Object ) >> Set )

Content Dictionary Entry.

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domainofapplication

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

( ( ( Object ^* ) >> Object ) >> Set )

Content Dictionary Entry.

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range

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

( ( ( Object ^* ) >> Object ) >> Set )

Content Dictionary Entry.

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left_compose

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

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

Content Dictionary Entry.

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lambda

<OMOBJ xmlns="http://www.openmath.org/OpenMath"> 
 <OMS name="binder" cd="sts"/>
</OMOBJ>

binder

Content Dictionary Entry.

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