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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E20">Th31</font></span>: <a NAME="T31"><span class="comment"><font color="firebrick">:: FUNCT_4:31</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">f</font>, <font color="Olive" title="b2">g</font> being   <a href="funct_1.html#NM1" title="FUNCT_1:NM.1">Function</a>  st  <a href="relat_1.html#NK1" title="RELAT_1:NK.1">dom</a> <font color="Olive" title="b1">f</font> <a href="xboole_0.html#R1" title="XBOOLE_0:pred.1">misses</a>  <a href="relat_1.html#NK1" title="RELAT_1:NK.1">dom</a> <font color="Olive" title="b2">g</font> holds <br/><font color="Olive" title="b1">f</font> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> <font color="Olive" title="b2">g</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">f</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <font color="Olive" title="b2">g</font> <span class="kw">by</span> <span class="lab"><a class="ref" href="funct_4.html#T30" target="_self" onmouseover="rs('funct_4/T30')" onmouseout="rh()">Th30</a>, <a class="ref" href="partfun1.html#T56" onmouseover="rs('partfun1/T56')" onmouseout="rh()">PARTFUN1:56</a></span>;<br/></div></div>
