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<div><span class="kw">theorem </span><a NAME="T5"><span class="comment"><font color="firebrick">:: VECTSP12:5</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">F</font> being   <a href="vectsp_1.html#NM5" title="VECTSP_1:NM.5">Field</a><br/>  for <font color="Olive" title="b2">X</font>, <font color="Olive" title="b3">Y</font> being   <a href="vectsp_1.html#NM9" title="VECTSP_1:NM.9">VectSp</a> of <font color="Olive" title="b1">F</font><br/>  for <font color="Olive" title="b4">l</font> being    <a href="vectsp_6.html#M1" title="VECTSP_6:mode.1">Linear_Combination</a> of <font color="Olive" title="b2">X</font><br/>  for <font color="Olive" title="b5">T</font> being   <a href="ranknull.html#NM1" title="RANKNULL:NM.1">linear-transformation</a> of <font color="Olive" title="b2">X</font>,<font color="Olive" title="b3">Y</font>  st <font color="Olive" title="b5">T</font> is  <a href="funct_1.html#V2" title="FUNCT_1:attr.2">one-to-one</a>  holds <br/><font color="Olive" title="b5">T</font> <a href="ranknull.html#K8" title="RANKNULL:func.8">@</a> <font color="Olive" title="b4">l</font> <a href="vectsp_6.html#R1" title="VECTSP_6:pred.1">=</a> <font color="Olive" title="b5">T</font> <a href="zmodul05.html#K5" title="ZMODUL05:func.5">@*</a> <font color="Olive" title="b4">l</font></div></div>
