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<div><span class="kw">theorem </span><a NAME="T142"><span class="comment"><font color="firebrick">:: ZMODUL01:142</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">W</font> being   <a href="zmodul01.html#V2" title="ZMODUL01:attr.2">with_Linear_Compl</a>  <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="b3">L</font> being    <a href="zmodul01.html#M1" title="ZMODUL01:mode.1">Linear_Compl</a> of <font color="Olive" title="b2">W</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> holds  <span class="p1">(<span class="default"><font color="Olive" title="b4">v</font> <a href="vectsp_5.html#K4" title="VECTSP_5:func.4">|--</a> (<font color="Olive" title="b2">W</font>,<font color="Olive" title="b3">L</font>)</span>)</span> <a href="domain_1.html#K3" title="DOMAIN_1:func.3">`2</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Olive" title="b4">v</font> <a href="vectsp_5.html#K4" title="VECTSP_5:func.4">|--</a> (<font color="Olive" title="b3">L</font>,<font color="Olive" title="b2">W</font>)</span>)</span> <a href="domain_1.html#K2" title="DOMAIN_1:func.2">`1</a>  <span class="kw">by</span> <span class="lab"><a class="ref" href="zmodul01.html#T124" target="_self" onmouseover="rs('zmodul01/T124')" onmouseout="rh()">Th124</a>, <a class="ref" href="zmodul01.html#T137" target="_self" onmouseover="rs('zmodul01/T137')" onmouseout="rh()">Th137</a></span>;<br/></div></div>
