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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E7">Th4</font></span>: <a NAME="T4"><span class="comment"><font color="firebrick">:: MODCAT_1:4</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">R</font> being   <a href="vectsp_1.html#NM3" title="VECTSP_1:NM.3">Ring</a><br/>  for <font color="Olive" title="b2">x</font>, <font color="Olive" title="b3">y1</font>, <font color="Olive" title="b4">y2</font> being    <a href="hidden.html#M1" title="HIDDEN:mode.1">object</a>   st  <a href="modcat_1.html#R1" title="MODCAT_1:pred.1">GO</a> <font color="Olive" title="b2">x</font>,<font color="Olive" title="b3">y1</font>,<font color="Olive" title="b1">R</font> &amp;  <a href="modcat_1.html#R1" title="MODCAT_1:pred.1">GO</a> <font color="Olive" title="b2">x</font>,<font color="Olive" title="b4">y2</font>,<font color="Olive" title="b1">R</font> holds <br/><font color="Olive" title="b3">y1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b4">y2</font></div></div>
