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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E34">Th47</font></span>: <a NAME="T47"><span class="comment"><font color="firebrick">:: RMOD_2:47</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">R</font> being   <a href="vectsp_1.html#NM3" title="VECTSP_1:NM.3">Ring</a><br/>  for <font color="Olive" title="b2">V</font> being   <a href="vectsp_2.html#NM6" title="VECTSP_2:NM.6">RightMod</a> of <font color="Olive" title="b1">R</font><br/>  for <font color="Olive" title="b3">v</font> being   <a href="vectsp_2.html#NM4" title="VECTSP_2:NM.4">Vector</a> of <font color="Olive" title="b2">V</font> holds  <font color="Olive" title="b3">v</font> <a href="rmod_2.html#K3" title="RMOD_2:func.3">+</a> <span class="p1">(<span class="default"><a href="rmod_2.html#K2" title="RMOD_2:func.2">(Omega).</a> <font color="Olive" title="b2">V</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b2">V</font> <span class="kw">by</span> <span class="lab"><a class="ref" href="rlvect_1.html#T1" onmouseover="rs('rlvect_1/T1')" onmouseout="rh()">RLVECT_1:1</a>, <a class="txt" href="rmod_2.html#E55"><span class="lab"><font color="Green" title="E33">Lm3</font></span></a></span>;<br/></div></div>
