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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E20">Def33</font></span>   defines <a href="zmodul02.html#K22" title="ZMODUL02:func.22">LCMult</a> <a onclick="hs(this)" href="javascript:()">ZMODUL02:def 33 : <br/></a><span> for <font color="Olive" title="b1">V</font> being   <a href="zmodul01.html#NM1" title="ZMODUL01:NM.1">Z_Module</a><br/>  for <font color="Olive">b<sub>2</sub></font> being   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of <span class="p1"><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">[:</a><span class="default"> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <a href="int_3.html#K1" title="INT_3:func.1">INT.Ring</a>,<span class="p2">(<span class="default"><a href="zmodul02.html#K18" title="ZMODUL02:func.18">LinComb</a> <font color="Olive" title="b1">V</font></span>)</span></span><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">:]</a></span>,<span class="p1">(<span class="default"><a href="zmodul02.html#K18" title="ZMODUL02:func.18">LinComb</a> <font color="Olive" title="b1">V</font></span>)</span> holds <br/> ( <font color="Olive">b<sub>2</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="zmodul02.html#K22" title="ZMODUL02:func.22">LCMult</a> <font color="Olive" title="b1">V</font> iff  for <font color="Olive" title="b3">a</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <a href="int_3.html#K1" title="INT_3:func.1">INT.Ring</a><br/>  for <font color="Olive" title="b4">e</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="zmodul02.html#K18" title="ZMODUL02:func.18">LinComb</a> <font color="Olive" title="b1">V</font> holds  <font color="Olive">b<sub>2</sub></font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <span class="p1"><a href="domain_1.html#K1" title="DOMAIN_1:func.1">[</a><span class="default"><font color="Olive" title="b3">a</font>,<font color="Olive" title="b4">e</font></span><a href="domain_1.html#K1" title="DOMAIN_1:func.1">]</a></span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b3">a</font> <a href="vectsp_6.html#K6" title="VECTSP_6:func.6">*</a> <span class="p1">(<span class="default"><a href="zmodul02.html#K19" title="ZMODUL02:func.19">@</a> <font color="Olive" title="b4">e</font></span>)</span> );<br/></span></div>
