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<div><span class="kw">theorem </span><a NAME="T19"><span class="comment"><font color="firebrick">:: ZMODLAT1:19</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>  st <font color="Olive" title="b2">v</font>,<font color="Olive" title="b3">u</font> <a href="zmodlat1.html#R1" title="ZMODLAT1:pred.1">are_orthogonal</a>  holds <br/><span class="p1"><a href="zmodlat1.html#K2" title="ZMODLAT1:func.2">||.</a><span class="default"><span class="p2">(<span class="default"><font color="Olive" title="b2">v</font> <a href="rlvect_1.html#K3" title="RLVECT_1:func.3">+</a> <font color="Olive" title="b3">u</font></span>)</span></span><a href="zmodlat1.html#K2" title="ZMODLAT1:func.2">.||</a></span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="zmodlat1.html#K2" title="ZMODLAT1:func.2">||.</a><span class="default"><font color="Olive" title="b2">v</font></span><a href="zmodlat1.html#K2" title="ZMODLAT1:func.2">.||</a></span> <a href="rlvect_1.html#K3" title="RLVECT_1:func.3">+</a> <span class="p1"><a href="zmodlat1.html#K2" title="ZMODLAT1:func.2">||.</a><span class="default"><font color="Olive" title="b3">u</font></span><a href="zmodlat1.html#K2" title="ZMODLAT1:func.2">.||</a></span></div></div>
