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<b>let </b><font color="Maroon">om1</font> be    <a href="realset1.html#M3">DnT</a> of  <a href="realset2.html#K4" target="_self">ndf</a> <font color="Maroon">F</font>, <a href="realset2.html#K2" target="_self">suppf</a> <font color="Maroon">F</font>, <font color="Maroon">om2</font> be    <a href="realset1.html#M3">DnT</a> of  <a href="realset2.html#K4" target="_self">ndf</a> <font color="Maroon">F</font>, <a href="realset2.html#K2" target="_self">suppf</a> <font color="Maroon">F</font>;<br/>

<b>assume </b><b>that </b><br/><a NAME="E1:34_1_1"/><i><font color="Green">E17</font></i>: 
 ex <font color="Olive">nm1</font> being   <a href="subset_1.html#M2">Element</a> of <span class="p1">(<span class="default"><a href="realset2.html#K2" target="_self">suppf</a> <font color="Maroon">F</font></span>)</span> <a href="subset_1.html#K6">\</a> <span class="p1"><a href="realset1.html#K5">{</a><span class="default"><span class="p2">(<span class="default"><a href="realset2.html#K4" target="_self">ndf</a> <font color="Maroon">F</font></span>)</span></span><a href="realset1.html#K5">}</a></span> st <font color="Maroon">F</font> <a href="hidden.html#R1">=</a>  <a href="realset2.html#K1" target="_self">field</a> <span class="p1">(<span class="default"><a href="realset2.html#K2" target="_self">suppf</a> <font color="Maroon">F</font></span>)</span>,<span class="p1">(<span class="default"><a href="realset2.html#K3" target="_self">odf</a> <font color="Maroon">F</font></span>)</span>,<font color="Maroon">om1</font>,<span class="p1">(<span class="default"><a href="realset2.html#K4" target="_self">ndf</a> <font color="Maroon">F</font></span>)</span>,<font color="Olive">nm1</font>
 <b>and </b><br/><a NAME="E2:34_1_1"/><i><font color="Green">E18</font></i>: 
 ex <font color="Olive">nm2</font> being   <a href="subset_1.html#M2">Element</a> of <span class="p1">(<span class="default"><a href="realset2.html#K2" target="_self">suppf</a> <font color="Maroon">F</font></span>)</span> <a href="subset_1.html#K6">\</a> <span class="p1"><a href="realset1.html#K5">{</a><span class="default"><span class="p2">(<span class="default"><a href="realset2.html#K4" target="_self">ndf</a> <font color="Maroon">F</font></span>)</span></span><a href="realset1.html#K5">}</a></span> st <font color="Maroon">F</font> <a href="hidden.html#R1">=</a>  <a href="realset2.html#K1" target="_self">field</a> <span class="p1">(<span class="default"><a href="realset2.html#K2" target="_self">suppf</a> <font color="Maroon">F</font></span>)</span>,<span class="p1">(<span class="default"><a href="realset2.html#K3" target="_self">odf</a> <font color="Maroon">F</font></span>)</span>,<font color="Maroon">om2</font>,<span class="p1">(<span class="default"><a href="realset2.html#K4" target="_self">ndf</a> <font color="Maroon">F</font></span>)</span>,<font color="Olive">nm2</font>
 ;<br/>

<font color="Maroon">om1</font> = 
the <a href="group_1.html#U1">mult</a> of <font color="Maroon">F</font>
<b>by </b><i>, </i>
<br/>.= 
<font color="Maroon">om2</font>
<b>by </b><i><a class="txt" href="realset2.html#E18"><i><font color="Green">Lemma54</font></i></a>, </i>
;<br/>
<b>hence </b><a NAME="E4:34_1_1"/>
<font color="Maroon">om1</font> <a href="hidden.html#R1">=</a> <font color="Maroon">om2</font>
 ;<br/>


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