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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E6">Th5</font></span>: <a NAME="T5"><span class="comment"><font color="firebrick">:: MOD_2:5</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#L1" title="MOD_2:struct.1">LModMorphismStr</a> over <font color="Olive" title="b1">R</font>  st  <a href="mod_2.html#K2" title="MOD_2:func.2">dom</a> <font color="Olive" title="b4">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">G</font> &amp;  <a href="mod_2.html#K3" title="MOD_2:func.3">cod</a> <font color="Olive" title="b4">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b3">H</font> &amp;  <a href="mod_2.html#K4" title="MOD_2:func.4">fun</a> <font color="Olive" title="b4">f</font> is  <a href="vectsp_1.html#V13" title="VECTSP_1:attr.13">additive</a>  &amp;  <a href="mod_2.html#K4" title="MOD_2:func.4">fun</a> <font color="Olive" title="b4">f</font> is  <a href="mod_2.html#V1" title="MOD_2:attr.1">homogeneous</a>  holds <br/><font color="Olive" title="b4">f</font> is    <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></div></div>
