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<b>let </b><font color="Maroon" title="c1">CNS</font> be   <a href="clvect_1.html#NM5" title="CLVECT_1:NM.5">ComplexNormSpace</a>;<br/><b>let </b><font color="Maroon" title="c2">RNS</font> be   <a href="normsp_1.html#NM1" title="NORMSP_1:NM.1">RealNormSpace</a>;<br/><b>let </b><font color="Maroon" title="c3">X</font> be    <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> ;<br/><b>let </b><font color="Maroon" title="c4">f</font> be   <a href="nfcont_1.html#NM1" title="NFCONT_1:NM.1">PartFunc</a> of <font color="Maroon" title="c1">CNS</font>,<font color="Maroon" title="c2">RNS</font>;<br/>







<b>assume </b><a NAME="E1:179"/>
( <font color="Maroon" title="c3">X</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="relset_1.html#K4" title="RELSET_1:func.4">dom</a> <font color="Maroon" title="c4">f</font> &amp; <font color="Maroon" title="c4">f</font> <a href="partfun2.html#R1" title="PARTFUN2:pred.1">is_constant_on</a> <font color="Maroon" title="c3">X</font> )
 ;<br/>

<a NAME="E2:179"/><b>then </b>
<font color="Maroon" title="c4">f</font> <a href="ncfcont1.html#R14" title="NCFCONT1:pred.14">is_Lipschitzian_on</a> <font color="Maroon" title="c3">X</font>
 
<b>by </b><i><a class="ref" href="ncfcont1.html#T134" target="_self" title="NCFCONT1:th.134">Th134</a></i>;<br/>
<b>hence </b><a NAME="E3:179"/>
<font color="Maroon" title="c4">f</font> <a href="ncfcont1.html#R8" title="NCFCONT1:pred.8">is_continuous_on</a> <font color="Maroon" title="c3">X</font>
 <b>by </b><i><a class="ref" href="ncfcont1.html#T138" target="_self" title="NCFCONT1:th.138">Th138</a></i>;<br/>


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