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<div><span class="kw">theorem </span><a NAME="T27"><span class="comment"><font color="firebrick">:: MESFUN11:27</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">X</font>, <font color="Olive" title="b2">Y</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b3">f1</font>, <font color="Olive" title="b4">f2</font> being   <a href="partfun1.html#NM1" title="PARTFUN1:NM.1">PartFunc</a> of <font color="Olive" title="b1">X</font>,<a href="numbers.html#K6" title="NUMBERS:func.6">ExtREAL</a>  st  <a href="relset_1.html#K1" title="RELSET_1:func.1">dom</a> <font color="Olive" title="b3">f1</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Olive" title="b2">Y</font> &amp; <font color="Olive" title="b4">f2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">Y</font> <a href="funcop_1.html#K8" title="FUNCOP_1:func.8">--&gt;</a> <a href="numbers.html#K5" title="NUMBERS:func.5">0</a> holds <br/>( <font color="Olive" title="b3">f1</font> <a href="mesfunc1.html#K3" title="MESFUNC1:func.3">+</a> <font color="Olive" title="b4">f2</font> <a href="relset_1.html#R2" title="RELSET_1:pred.2">=</a> <font color="Olive" title="b3">f1</font> &amp; <font color="Olive" title="b3">f1</font> <a href="mesfunc1.html#K4" title="MESFUNC1:func.4">-</a> <font color="Olive" title="b4">f2</font> <a href="relset_1.html#R2" title="RELSET_1:pred.2">=</a> <font color="Olive" title="b3">f1</font> &amp; <font color="Olive" title="b4">f2</font> <a href="mesfunc1.html#K4" title="MESFUNC1:func.4">-</a> <font color="Olive" title="b3">f1</font> <a href="relset_1.html#R2" title="RELSET_1:pred.2">=</a>  <a href="mesfunc1.html#K7" title="MESFUNC1:func.7">-</a> <font color="Olive" title="b3">f1</font> )</div></div>
