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<div><span class="kw">theorem </span><a NAME="T24"><span class="comment"><font color="firebrick">:: ZMODLAT2:24</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">L</font> being   <a href="zmodlat1.html#V3" title="ZMODLAT1:attr.3">INTegral</a>  <a href="zmodlat1.html#NM1" title="ZMODLAT1:NM.1">Z_Lattice</a><br/>  for <font color="Olive" title="b2">r</font> being   non  <a href="struct_0.html#V9" title="STRUCT_0:attr.9">zero</a>  <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <a href="gaussint.html#K11" title="GAUSSINT:func.11">F_Rat</a><br/>  for <font color="Olive" title="b3">a</font> being   <a href="rat_1.html#NM1" title="RAT_1:NM.1">Rational</a><br/>  for <font color="Olive" title="b4">v</font>, <font color="Olive" title="b5">u</font> being   <a href="vectsp_1.html#NM8" title="VECTSP_1:NM.8">Vector</a> of <span class="p1">(<span class="default"><a href="zmodlat2.html#K4" title="ZMODLAT2:func.4">EMLat</a> (<font color="Olive" title="b2">r</font>,<font color="Olive" title="b1">L</font>)</span>)</span>  st <font color="Olive" title="b2">r</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b3">a</font> holds <br/><span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Olive" title="b3">a</font> <a href="xcmplx_0.html#K5" title="XCMPLX_0:func.5">"</a></span>)</span> <a href="xcmplx_0.html#K3" title="XCMPLX_0:func.3">*</a> <span class="p2">(<span class="default"><font color="Olive" title="b3">a</font> <a href="xcmplx_0.html#K5" title="XCMPLX_0:func.5">"</a></span>)</span></span>)</span> <a href="xcmplx_0.html#K3" title="XCMPLX_0:func.3">*</a> <span class="p1"><a href="zmodlat1.html#K1" title="ZMODLAT1:func.1">&lt;;</a><span class="default"><font color="Olive" title="b4">v</font>,<font color="Olive" title="b5">u</font></span><a href="zmodlat1.html#K1" title="ZMODLAT1:func.1">;&gt;</a></span> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="numbers.html#K4" title="NUMBERS:func.4">INT</a> </div></div>
