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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E16">Th10</font></span>: <a NAME="T10"><span class="comment"><font color="firebrick">:: MODCAT_1:10</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">V</font> being    <a href="modcat_1.html#M1" title="MODCAT_1:mode.1">LeftMod_DOMAIN</a> of <font color="Olive" title="b1">R</font><br/>  for <font color="Olive" title="b3">g</font>, <font color="Olive" title="b4">f</font> being    <a href="modcat_1.html#M4" title="MODCAT_1:mode.4">Element</a> of  <a href="modcat_1.html#K4" title="MODCAT_1:func.4">Morphs</a> <font color="Olive" title="b2">V</font>  st  <a href="mod_2.html#K2" title="MOD_2:func.2">dom</a> <font color="Olive" title="b3">g</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="mod_2.html#K3" title="MOD_2:func.3">cod</a> <font color="Olive" title="b4">f</font> holds <br/><font color="Olive" title="b3">g</font> <a href="mod_2.html#K8" title="MOD_2:func.8">*</a> <font color="Olive" title="b4">f</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="modcat_1.html#K4" title="MODCAT_1:func.4">Morphs</a> <font color="Olive" title="b2">V</font></div></div>
