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<div><span class="kw">theorem </span><a NAME="T61"><span class="comment"><font color="firebrick">:: ZMODLAT2:61</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">L</font> being   <a href="zmodlat1.html#V4" title="ZMODLAT1:attr.4">positive-definite</a>  <a href="zmodlat1.html#NM1" title="ZMODLAT1:NM.1">Z_Lattice</a><br/>  for <font color="Olive" title="b2">I</font> being   <a href="zmodul03.html#NM1" title="ZMODUL03:NM.1">Basis</a> of <font color="Olive" title="b1">L</font><br/>  for <font color="Olive" title="b3">v</font>, <font color="Olive" title="b4">w</font> being   <a href="vectsp_1.html#NM8" title="VECTSP_1:NM.8">Vector</a> of <font color="Olive" title="b1">L</font>  st (  for <font color="Olive" title="b5">u</font> being   <a href="vectsp_1.html#NM8" title="VECTSP_1:NM.8">Vector</a> of <font color="Olive" title="b1">L</font>  st <font color="Olive" title="b5">u</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b2">I</font> holds <br/><span class="p1"><a href="zmodlat1.html#K1" title="ZMODLAT1:func.1">&lt;;</a><span class="default"><font color="Olive" title="b3">v</font>,<font color="Olive" title="b5">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> <span class="p1"><a href="zmodlat1.html#K1" title="ZMODLAT1:func.1">&lt;;</a><span class="default"><font color="Olive" title="b4">w</font>,<font color="Olive" title="b5">u</font></span><a href="zmodlat1.html#K1" title="ZMODLAT1:func.1">;&gt;</a></span> ) holds <br/> for <font color="Olive" title="b5">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  <span class="p1"><a href="zmodlat1.html#K1" title="ZMODLAT1:func.1">&lt;;</a><span class="default"><font color="Olive" title="b3">v</font>,<font color="Olive" title="b5">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> <span class="p1"><a href="zmodlat1.html#K1" title="ZMODLAT1:func.1">&lt;;</a><span class="default"><font color="Olive" title="b4">w</font>,<font color="Olive" title="b5">u</font></span><a href="zmodlat1.html#K1" title="ZMODLAT1:func.1">;&gt;</a></span></div></div>
