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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E15">ThSPrEM1</font></span>: <a NAME="T9"><span class="comment"><font color="firebrick">:: ZMODLAT2:9</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">r</font> being   <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">v</font>, <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#K4" title="ZMODUL08:func.4">EMbedding</a> (<font color="Olive" title="b2">r</font>,<font color="Olive" title="b1">L</font>)</span>)</span> holds  <span class="p1">(<span class="default"><span class="p2">(<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="realset1.html#K1" title="REALSET1:func.1">||</a>  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <span class="p2">(<span class="default"><a href="zmodul08.html#K4" title="ZMODUL08:func.4">EMbedding</a> (<font color="Olive" title="b2">r</font>,<font color="Olive" title="b1">L</font>)</span>)</span></span>)</span> <a href="binop_1.html#K1" title="BINOP_1:func.1">.</a> (<font color="Olive" title="b3">v</font>,<font color="Olive" title="b4">u</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <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#K1" title="BINOP_1:func.1">.</a> (<font color="Olive" title="b3">v</font>,<font color="Olive" title="b4">u</font>)</div></div>
