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<b>let </b><font color="Maroon">M</font> be    <a href="pboole.html#M1">ManySortedSet</a> of <font color="Maroon">I1</font>;<br/>

<div><b>hereby </b>
<div class="add"><b>assume </b><a NAME="E1:25_1_1_1"/>
<font color="Maroon">M</font> is    <a href="functor0.html#M1" target="_self">MSUnTrans</a> of <font color="Maroon">f</font>,<font color="Maroon">A</font>,<font color="Maroon">B</font>
 ;<br/><a NAME="E2:25_1_1_1"/><b>then </b>
 ex <font color="Olive">I2'</font> being non <a href="xboole_0.html#V1">empty</a>  <a href="hidden.html#M1">set</a>  ex <font color="Olive">B'</font> being   <a href="pboole.html#M1">ManySortedSet</a> of <font color="Olive">I2'</font> ex <font color="Olive">f'</font> being  <a href="funct_2.html#NM1">Function</a> of <font color="Maroon">I1</font>,<font color="Olive">I2'</font> st <br/>( <font color="Maroon">f</font> <a href="funct_2.html#R1">=</a> <font color="Olive">f'</font> &amp; <font color="Maroon">B</font> <a href="hidden.html#R1">=</a> <font color="Olive">B'</font> &amp; <font color="Maroon">M</font> is    <a href="pboole.html#M3">ManySortedFunction</a> of <font color="Maroon">A</font>,<font color="Olive">B'</font> <a href="pboole.html#K7">*</a> <font color="Olive">f'</font> )
 <b>by </b><i/>;<br/><b>hence </b><a NAME="E3:25_1_1_1"/>
<font color="Maroon">M</font> is    <a href="pboole.html#M3">ManySortedFunction</a> of <font color="Maroon">A</font>,<font color="Maroon">B</font> <a href="pboole.html#K7">*</a> <font color="Maroon">f</font>
 ;<br/></div>
<b>end;</b></div>

<b>thus </b><a NAME="E2:25_1_1"/>
( <font color="Maroon">M</font> is    <a href="pboole.html#M3">ManySortedFunction</a> of <font color="Maroon">A</font>,<font color="Maroon">B</font> <a href="pboole.html#K7">*</a> <font color="Maroon">f</font> implies <font color="Maroon">M</font> is    <a href="functor0.html#M1" target="_self">MSUnTrans</a> of <font color="Maroon">f</font>,<font color="Maroon">A</font>,<font color="Maroon">B</font> )
 <b>by </b><i/>;<br/>


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