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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E18">Def12</font></span>   defines <a href="mesfunc1.html#K11" title="MESFUNC1:func.11">less_eq_dom</a> <a onclick="hs(this)" href="javascript:()">MESFUNC1:def 11 : <br/></a><span> for <font color="Olive" title="b1">f</font> being   <a href="valued_0.html#V2" title="VALUED_0:attr.2">ext-real-valued</a>  <a href="funct_1.html#NM1" title="FUNCT_1:NM.1">Function</a><br/>  for <font color="Olive" title="b2">a</font> being   <a href="xxreal_0.html#NM1" title="XXREAL_0:NM.1">ExtReal</a><br/>  for <font color="Olive">b<sub>3</sub></font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>  holds <br/> ( <font color="Olive">b<sub>3</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="mesfunc1.html#K11" title="MESFUNC1:func.11">less_eq_dom</a> (<font color="Olive" title="b1">f</font>,<font color="Olive" title="b2">a</font>) iff  for <font color="Olive" title="b4">x</font> being    <a href="hidden.html#M1" title="HIDDEN:mode.1">object</a>  holds <br/> ( <font color="Olive" title="b4">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Olive">b<sub>3</sub></font> iff ( <font color="Olive" title="b4">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="relat_1.html#NK1" title="RELAT_1:NK.1">dom</a> <font color="Olive" title="b1">f</font> &amp; <font color="Olive" title="b1">f</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b4">x</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b2">a</font> ) ) );<br/></span></div>
