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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E10">Def1</font></span>   defines <a href="zmodul05.html#K3" title="ZMODUL05:func.3">ker</a> <a onclick="hs(this)" href="javascript:()">ZMODUL05:def 4 : <br/></a><span> for <font color="Olive" title="b1">V</font>, <font color="Olive" title="b2">W</font> being   <a href="zmodul01.html#NM1" title="ZMODUL01:NM.1">Z_Module</a><br/>  for <font color="Olive" title="b3">T</font> being   <a href="zmodul05.html#NM1" title="ZMODUL05:NM.1">linear-transformation</a> of <font color="Olive" title="b1">V</font>,<font color="Olive" title="b2">W</font><br/>  for <font color="Olive">b<sub>4</sub></font> being   <a href="vectsp_1.html#V7" title="VECTSP_1:attr.7">strict</a>  <a href="zmodul01.html#NM3" title="ZMODUL01:NM.3">Submodule</a> of <font color="Olive" title="b1">V</font> holds <br/> ( <font color="Olive">b<sub>4</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="zmodul05.html#K3" title="ZMODUL05:func.3">ker</a> <font color="Olive" title="b3">T</font> iff  <a href="struct_0.html#K2" title="STRUCT_0:func.2">[#]</a> <font color="Olive">b<sub>4</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"> { <span class="default"> <font color="Olive" title="b5">u</font> where <font color="Olive" title="b5">u</font> is   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">V</font> : <font color="Olive" title="b3">T</font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Olive" title="b5">u</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Olive" title="b2">W</font> </span> } </span>  );<br/></span></div>
