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<div><span class="kw">theorem </span><a NAME="T127"><span class="comment"><font color="firebrick">:: ZMODUL01:127</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">V</font> being   <a href="zmodul01.html#NM1" title="ZMODUL01:NM.1">Z_Module</a><br/>  for <font color="Olive" title="b2">W1</font>, <font color="Olive" title="b3">W2</font> being   <a href="zmodul01.html#NM3" title="ZMODUL01:NM.3">Submodule</a> of <font color="Olive" title="b1">V</font>  st <font color="Olive" title="b1">V</font> <a href="vectsp_5.html#R1" title="VECTSP_5:pred.1">is_the_direct_sum_of</a> <font color="Olive" title="b2">W1</font>,<font color="Olive" title="b3">W2</font> holds <br/><font color="Olive" title="b1">V</font> <a href="vectsp_5.html#R1" title="VECTSP_5:pred.1">is_the_direct_sum_of</a> <font color="Olive" title="b3">W2</font>,<font color="Olive" title="b2">W1</font> <span class="kw">by</span> <span class="lab"><a class="ref" href="vectsp_5.html#T41" onmouseover="rs('vectsp_5/T41')" onmouseout="rh()">VECTSP_5:41</a></span>;<br/></div></div>
