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<div><span class="kw">theorem </span><a NAME="T16"><span class="comment"><font color="firebrick">:: ZMODLAT2:16</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> being   <a href="vectsp_1.html#NM8" title="VECTSP_1:NM.8">Vector</a> of <span class="p1">(<span class="default"><a href="zmodul08.html#K2" title="ZMODUL08:func.2">DivisibleMod</a> <font color="Olive" title="b1">L</font></span>)</span><br/>  for <font color="Olive" title="b3">I</font> being   <a href="zmodul03.html#NM1" title="ZMODUL03:NM.1">Basis</a> of <span class="p1">(<span class="default"><a href="zmodul08.html#K1" title="ZMODUL08:func.1">EMbedding</a> <font color="Olive" title="b1">L</font></span>)</span>  st (  for <font color="Olive" title="b4">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="zmodul08.html#K2" title="ZMODUL08:func.2">DivisibleMod</a> <font color="Olive" title="b1">L</font></span>)</span>  st <font color="Olive" title="b4">u</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b3">I</font> holds <br/><span class="p1">(<span class="default"><a href="zmodlat2.html#K2" title="ZMODLAT2:func.2">ScProductDM</a> <font color="Olive" title="b1">L</font></span>)</span> <a href="binop_1.html#K2" title="BINOP_1:func.2">.</a> (<font color="Olive" title="b2">v</font>,<font color="Olive" title="b4">u</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  ) holds <br/><font color="Olive" title="b2">v</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <span class="p1">(<span class="default"><a href="zmodul08.html#K2" title="ZMODUL08:func.2">DivisibleMod</a> <font color="Olive" title="b1">L</font></span>)</span></div></div>
