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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E31">LDef5</font></span>   defines <a href="zmodul05.html#K7" title="ZMODUL05:func.7">@*</a> <a onclick="hs(this)" href="javascript:()">ZMODUL05:def 8 : <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">l</font> being    <a href="vectsp_6.html#M1" title="VECTSP_6:mode.1">Linear_Combination</a> of <font color="Olive" title="b1">V</font><br/>  for <font color="Olive" title="b4">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>5</sub></font> being    <a href="vectsp_6.html#M1" title="VECTSP_6:mode.1">Linear_Combination</a> of <font color="Olive" title="b2">W</font> holds <br/> ( <font color="Olive">b<sub>5</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b4">T</font> <a href="zmodul05.html#K7" title="ZMODUL05:func.7">@*</a> <font color="Olive" title="b3">l</font> iff (  <a href="vectsp_6.html#K1" title="VECTSP_6:func.1">Carrier</a> <font color="Olive">b<sub>5</sub></font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Olive" title="b4">T</font> <a href="relset_1.html#K7" title="RELSET_1:func.7">.:</a> <span class="p1">(<span class="default"><a href="vectsp_6.html#K1" title="VECTSP_6:func.1">Carrier</a> <font color="Olive" title="b3">l</font></span>)</span> &amp; (  for <font color="Olive" title="b6">w</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b2">W</font> holds  <font color="Olive">b<sub>5</sub></font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Olive" title="b6">w</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="rlvect_1.html#K4" title="RLVECT_1:func.4">Sum</a> <span class="p1">(<span class="default"><a href="zmodul05.html#K6" title="ZMODUL05:func.6">lCFST</a> (<font color="Olive" title="b3">l</font>,<font color="Olive" title="b4">T</font>,<font color="Olive" title="b6">w</font>)</span>)</span> ) ) );<br/></span></div>
