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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E23">Th27</font></span>: <a NAME="T38"><span class="comment"><font color="firebrick">:: ZMODUL05:38</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">A</font>, <font color="Olive" title="b3">B</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">V</font><br/>  for <font color="Olive" title="b4">l</font> being    <a href="vectsp_6.html#M2" title="VECTSP_6:mode.2">Linear_Combination</a> of <font color="Olive" title="b3">B</font>  st <font color="Olive" title="b2">A</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Olive" title="b3">B</font> holds <br/><font color="Olive" title="b4">l</font> <a href="vectsp_6.html#R1" title="VECTSP_6:pred.1">=</a> <span class="p1">(<span class="default"><font color="Olive" title="b4">l</font> <a href="zmodul05.html#K5" title="ZMODUL05:func.5">!</a> <font color="Olive" title="b2">A</font></span>)</span> <a href="vectsp_6.html#K5" title="VECTSP_6:func.5">+</a> <span class="p1">(<span class="default"><font color="Olive" title="b4">l</font> <a href="zmodul05.html#K5" title="ZMODUL05:func.5">!</a> <span class="p2">(<span class="default"><font color="Olive" title="b3">B</font> <a href="subset_1.html#K7" title="SUBSET_1:func.7">\</a> <font color="Olive" title="b2">A</font></span>)</span></span>)</span></div></div>
