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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">:: BCIALG_6:47</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">X</font>, <font color="Olive" title="b2">X9</font> being   <a href="bcialg_1.html#NM1" title="BCIALG_1:NM.1">BCI-algebra</a><br/>  for <font color="Olive" title="b3">I</font> being    <a href="bcialg_1.html#M2" title="BCIALG_1:mode.2">Ideal</a> of <font color="Olive" title="b1">X</font><br/>  for <font color="Olive" title="b4">f</font> being   <a href="bcialg_6.html#NM1" title="BCIALG_6:NM.1">BCI-homomorphism</a> of <font color="Olive" title="b1">X</font>,<font color="Olive" title="b2">X9</font>  st <font color="Olive" title="b4">f</font> is  <a href="funct_2.html#V2" title="FUNCT_2:attr.2">onto</a>  holds <br/><font color="Olive" title="b4">f</font> <a href="relset_1.html#K7" title="RELSET_1:func.7">.:</a> <font color="Olive" title="b3">I</font> is    <a href="bcialg_1.html#M2" title="BCIALG_1:mode.2">Ideal</a> of <font color="Olive" title="b2">X9</font></div></div>
