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<div><span class="kw">theorem </span><a NAME="T5"><span class="comment"><font color="firebrick">:: MESFUN13:5</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">X</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b2">f</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> holds   <a href="relset_1.html#K1" title="RELSET_1:func.1">dom</a> <font color="Olive" title="b2">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="mesfunc1.html#K18" title="MESFUNC1:func.18">eq_dom</a> (<font color="Olive" title="b2">f</font>,<a href="xxreal_0.html#K2" title="XXREAL_0:func.2">-infty</a>)</span>)</span> <a href="subset_1.html#K4" title="SUBSET_1:func.4">\/</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="mesfunc1.html#K16" title="MESFUNC1:func.16">great_dom</a> (<font color="Olive" title="b2">f</font>,<a href="xxreal_0.html#K2" title="XXREAL_0:func.2">-infty</a>)</span>)</span> <a href="subset_1.html#K9" title="SUBSET_1:func.9">/\</a> <span class="p3">(<span class="default"><a href="mesfunc1.html#K14" title="MESFUNC1:func.14">less_dom</a> (<font color="Olive" title="b2">f</font>,<a href="xxreal_0.html#K1" title="XXREAL_0:func.1">+infty</a>)</span>)</span></span>)</span></span>)</span> <a href="subset_1.html#K4" title="SUBSET_1:func.4">\/</a> <span class="p1">(<span class="default"><a href="mesfunc1.html#K18" title="MESFUNC1:func.18">eq_dom</a> (<font color="Olive" title="b2">f</font>,<a href="xxreal_0.html#K1" title="XXREAL_0:func.1">+infty</a>)</span>)</span></div></div>
