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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E19">SB03</font></span>: <a NAME="T21"><span class="comment"><font color="firebrick">:: ZMODUL08:21</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">V</font> being   <a href="zmodul06.html#V3" title="ZMODUL06:attr.3">torsion-free</a>  <a href="zmodul01.html#NM1" title="ZMODUL01:NM.1">Z_Module</a>  ex <font color="Olive" title="b2">T</font> being   <a href="ranknull.html#NM1" title="RANKNULL:NM.1">linear-transformation</a> of <font color="Olive" title="b1">V</font>,<span class="p1">(<span class="default"><a href="zmodul08.html#K1" title="ZMODUL08:func.1">EMbedding</a> <font color="Olive" title="b1">V</font></span>)</span> st <br/>( <font color="Olive" title="b2">T</font> is  <a href="funct_2.html#V3" title="FUNCT_2:attr.3">bijective</a>  &amp; <font color="Olive" title="b2">T</font> <a href="funct_2.html#R1" title="FUNCT_2:pred.1">=</a>  <a href="zmodul04.html#K6" title="ZMODUL04:func.6">MorphsZQ</a> <font color="Olive" title="b1">V</font> &amp; (  for <font color="Olive" title="b3">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  <font color="Olive" title="b2">T</font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Olive" title="b3">v</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="eqrel_1.html#K6" title="EQREL_1:func.6">Class</a> (<span class="p1">(<span class="default"><a href="zmodul04.html#K1" title="ZMODUL04:func.1">EQRZM</a> <font color="Olive" title="b1">V</font></span>)</span>,<span class="p1"><a href="domain_1.html#K1" title="DOMAIN_1:func.1">[</a><span class="default"><font color="Olive" title="b3">v</font>,1</span><a href="domain_1.html#K1" title="DOMAIN_1:func.1">]</a></span>) ) )</div></div>
