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<div><span class="kw">theorem </span><a NAME="T10"><span class="comment"><font color="firebrick">:: RMOD_3:10</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#V2" title="VECTSP_2:attr.2">strict</a>  <a href="vectsp_2.html#NM6" title="VECTSP_2:NM.6">RightMod</a> of <font color="Olive" title="b1">R</font> holds <br/> ( <span class="p1">(<span class="default"><a href="rmod_2.html#K1" title="RMOD_2:func.1">(0).</a> <font color="Olive" title="b2">V</font></span>)</span> <a href="rmod_3.html#K1" title="RMOD_3:func.1">+</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> <font color="Olive" title="b2">V</font> &amp; <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="rmod_3.html#K1" title="RMOD_3:func.1">+</a> <span class="p1">(<span class="default"><a href="rmod_2.html#K1" title="RMOD_2:func.1">(0).</a> <font color="Olive" title="b2">V</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">V</font> ) <span class="kw">by</span> <span class="lab"><a class="ref" href="rmod_3.html#T9" target="_self" onmouseover="rs('rmod_3/T9')" onmouseout="rh()">Th9</a></span>;<br/></div></div>
