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<span class="kw">consider </span><font color="Maroon" title="c3">T</font> being   <a href="ranknull.html#NM1" title="RANKNULL:NM.1">linear-transformation</a> of <span class="p1">(<span class="default"><a href="zmodul08.html#K1" title="ZMODUL08:func.1">EMbedding</a> <font color="Maroon" title="c1">V</font></span>)</span>,<span class="p1">(<span class="default"><a href="zmodul08.html#K4" title="ZMODUL08:func.4">EMbedding</a> (<font color="Maroon" title="c2">r</font>,<font color="Maroon" title="c1">V</font>)</span>)</span><span class="kw"> such that </span><br/><a NAME="E2:64_1_1"/><span class="lab"><font color="Green" title="E31">A1</font></span>: 
( (  for <font color="Olive" title="b1">v</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <span class="p1">(<span class="default"><a href="zmodul04.html#K5" title="ZMODUL04:func.5">Z_MQ_VectSp</a> <font color="Maroon" title="c1">V</font></span>)</span>  st <font color="Olive" title="b1">v</font> <a href="struct_0.html#R1" title="STRUCT_0:pred.1">in</a>  <a href="zmodul08.html#K1" title="ZMODUL08:func.1">EMbedding</a> <font color="Maroon" title="c1">V</font> holds <br/><font color="Maroon" title="c3">T</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b1">v</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">r</font> <a href="vectsp_1.html#K3" title="VECTSP_1:func.3">*</a> <font color="Olive" title="b1">v</font> ) &amp; <font color="Maroon" title="c3">T</font> is  <a href="funct_2.html#V3" title="FUNCT_2:attr.3">bijective</a>  )
 <span class="kw">by</span> <span class="lab"><a class="ref" href="zmodul08.html#T27" target="_self" onmouseover="rs('zmodul08/T27')" onmouseout="rh()">rSB03A</a></span>;<br/>
<span class="kw">thus </span><a NAME="E3:64_1_1"/>
 <a href="zmodul08.html#K4" title="ZMODUL08:func.4">EMbedding</a> (<font color="Maroon" title="c2">r</font>,<font color="Maroon" title="c1">V</font>) is  <a href="vectsp_7.html#V3" title="VECTSP_7:attr.3">free</a> 
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:64_1_1"><span class="lab"><font color="Green" title="E31">A1</font></span></a>, <a class="ref" href="zmodul06.html#T48" onmouseover="rs('zmodul06/T48')" onmouseout="rh()">ZMODUL06:48</a></span>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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