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<div><span class="kw">theorem </span><a NAME="T93"><span class="comment"><font color="firebrick">:: ZMODUL01:93</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><br/>  for <font color="Olive" title="b4">v</font> being   <a href="vectsp_1.html#NM8" title="VECTSP_1:NM.8">Vector</a> of <font color="Olive" title="b1">V</font>  st ( <font color="Olive" title="b4">v</font> <a href="struct_0.html#R1" title="STRUCT_0:pred.1">in</a> <font color="Olive" title="b2">W1</font> or <font color="Olive" title="b4">v</font> <a href="struct_0.html#R1" title="STRUCT_0:pred.1">in</a> <font color="Olive" title="b3">W2</font> ) holds <br/><font color="Olive" title="b4">v</font> <a href="struct_0.html#R1" title="STRUCT_0:pred.1">in</a> <font color="Olive" title="b2">W1</font> <a href="zmodul01.html#K1" title="ZMODUL01:func.1">+</a> <font color="Olive" title="b3">W2</font> <span class="kw">by</span> <span class="lab"><a class="ref" href="vectsp_5.html#T2" onmouseover="rs('vectsp_5/T2')" onmouseout="rh()">VECTSP_5:2</a></span>;<br/></div></div>
