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<span class="kw">set </span><font color="Maroon" title="c2">f</font> =  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">X</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>;<br/>
<span class="kw">reconsider </span><font color="Maroon" title="c3">f</font> =  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">X</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> as   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">X</font>,<a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a> <span class="kw">by</span> <span class="lab"><a class="ref" href="funcop_1.html#T45" onmouseover="rs('funcop_1/T45')" onmouseout="rh()">FUNCOP_1:45</a>, <a class="ref" href="xreal_0.html#D1" onmouseover="rs('xreal_0/D1')" onmouseout="rh()">XREAL_0:def 1</a></span>;<br/>
<span class="kw">reconsider </span><font color="Maroon" title="c4">f</font> = <font color="Maroon" title="c3">f</font> as   <a href="hahnban.html#NM1" title="HAHNBAN:NM.1">Functional</a> of <font color="Maroon" title="c1">X</font> ;<br/>
<span class="kw">reconsider </span><font color="Maroon" title="c5">f</font> = <font color="Maroon" title="c4">f</font> as   <a href="hahnban.html#NM3" title="HAHNBAN:NM.3">linear-Functional</a> of <font color="Maroon" title="c1">X</font> <span class="kw">by</span> <span class="lab"><a class="txt" href="dualsp01.html#E26"><span class="lab"><font color="Green" title="E15">Th21X</font></span></a></span>;<br/>
<a NAME="E4:33_1_1"/>
<font color="Maroon" title="c5">f</font> is  <a href="dualsp01.html#V1" title="DUALSP01:attr.1">Lipschitzian</a> 
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="dualsp01.html#E26"><span class="lab"><font color="Green" title="E15">Th21X</font></span></a></span>;<br/>
<span class="kw">hence </span><a NAME="E5:33_1_1"/>
 ex <font color="Olive">b<sub>1</sub></font> being   <a href="hahnban.html#NM3" title="HAHNBAN:NM.3">linear-Functional</a> of <font color="Maroon" title="c1">X</font> st <font color="Olive">b<sub>1</sub></font> is  <a href="dualsp01.html#V1" title="DUALSP01:attr.1">Lipschitzian</a> 
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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