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<div><span class="kw">theorem </span><a NAME="T3"><span class="comment"><font color="firebrick">:: MODCAT_1:3</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">G</font>, <font color="Olive" title="b3">H</font> being   <a href="vectsp_2.html#NM5" title="VECTSP_2:NM.5">LeftMod</a> of <font color="Olive" title="b1">R</font><br/>  for <font color="Olive" title="b4">f</font> being   <a href="mod_2.html#V2" title="MOD_2:attr.2">strict</a>   <a href="mod_2.html#M1" title="MOD_2:mode.1">Morphism</a> of <font color="Olive" title="b2">G</font>,<font color="Olive" title="b3">H</font> holds  <span class="p1"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><font color="Olive" title="b4">f</font></span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span> is    <a href="modcat_1.html#M5" title="MODCAT_1:mode.5">LModMorphism_DOMAIN</a> of <font color="Olive" title="b2">G</font>,<font color="Olive" title="b3">H</font></div></div>
