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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E9">ThSc1</font></span>: <a NAME="T7"><span class="comment"><font color="firebrick">:: ZMODLAT1:7</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">L</font> being   <a href="zmodlat1.html#NM1" title="ZMODLAT1:NM.1">Z_Lattice</a><br/>  for <font color="Olive" title="b2">v</font>, <font color="Olive" title="b3">u</font> being   <a href="vectsp_1.html#NM8" title="VECTSP_1:NM.8">Vector</a> of <font color="Olive" title="b1">L</font> holds <br/> ( <span class="p1"><a href="zmodlat1.html#K1" title="ZMODLAT1:func.1">&lt;;</a><span class="default"><font color="Olive" title="b2">v</font>,<span class="p2">(<span class="default"><a href="algstr_0.html#K4" title="ALGSTR_0:func.4">-</a> <font color="Olive" title="b3">u</font></span>)</span></span><a href="zmodlat1.html#K1" title="ZMODLAT1:func.1">;&gt;</a></span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="algstr_0.html#K4" title="ALGSTR_0:func.4">-</a> <span class="p1"><a href="zmodlat1.html#K1" title="ZMODLAT1:func.1">&lt;;</a><span class="default"><font color="Olive" title="b2">v</font>,<font color="Olive" title="b3">u</font></span><a href="zmodlat1.html#K1" title="ZMODLAT1:func.1">;&gt;</a></span> &amp; <span class="p1"><a href="zmodlat1.html#K1" title="ZMODLAT1:func.1">&lt;;</a><span class="default"><span class="p2">(<span class="default"><a href="algstr_0.html#K4" title="ALGSTR_0:func.4">-</a> <font color="Olive" title="b2">v</font></span>)</span>,<font color="Olive" title="b3">u</font></span><a href="zmodlat1.html#K1" title="ZMODLAT1:func.1">;&gt;</a></span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="algstr_0.html#K4" title="ALGSTR_0:func.4">-</a> <span class="p1"><a href="zmodlat1.html#K1" title="ZMODLAT1:func.1">&lt;;</a><span class="default"><font color="Olive" title="b2">v</font>,<font color="Olive" title="b3">u</font></span><a href="zmodlat1.html#K1" title="ZMODLAT1:func.1">;&gt;</a></span> )</div></div>
