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<span class="kw">let </span><font color="Maroon" title="c1">X</font> be    <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  for <font color="Olive" title="b1">B</font> being   <a href="prob_1.html#NM2" title="PROB_1:NM.2">SetSequence</a> of <font color="Maroon" title="c1">X</font> holds <br/> (  <a href="setlim_1.html#K2" title="SETLIM_1:func.2">inferior_setsequence</a> <font color="Olive" title="b1">B</font> is  <a href="setlim_1.html#V1" title="SETLIM_1:attr.1">monotone</a>  &amp;  <a href="setlim_1.html#K4" title="SETLIM_1:func.4">superior_setsequence</a> <font color="Olive" title="b1">B</font> is  <a href="setlim_1.html#V1" title="SETLIM_1:attr.1">monotone</a>  )</span><br/><span class="kw">let </span><font color="Maroon" title="c2">B</font> be   <a href="prob_1.html#NM2" title="PROB_1:NM.2">SetSequence</a> of <font color="Maroon" title="c1">X</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> (  <a href="setlim_1.html#K2" title="SETLIM_1:func.2">inferior_setsequence</a> <font color="Maroon" title="c2">B</font> is  <a href="setlim_1.html#V1" title="SETLIM_1:attr.1">monotone</a>  &amp;  <a href="setlim_1.html#K4" title="SETLIM_1:func.4">superior_setsequence</a> <font color="Maroon" title="c2">B</font> is  <a href="setlim_1.html#V1" title="SETLIM_1:attr.1">monotone</a>  )</span><br/>



<a NAME="E1:32"/>
 <a href="setlim_1.html#K2" title="SETLIM_1:func.2">inferior_setsequence</a> <font color="Maroon" title="c2">B</font> is  <a href="prob_1.html#V3" title="PROB_1:attr.3">non-descending</a> 
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="setlim_1.html#T23" target="_self" title="SETLIM_1:th.23">Th23</a></span>;<br/>
<span class="kw">hence </span><a NAME="E2:32"/>
 <a href="setlim_1.html#K2" title="SETLIM_1:func.2">inferior_setsequence</a> <font color="Maroon" title="c2">B</font> is  <a href="setlim_1.html#V1" title="SETLIM_1:attr.1">monotone</a> 
 <span class="kw">by</span> <span class="lab"><a class="ref" href="setlim_1.html#D1" target="_self" title="SETLIM_1:def.1">Def1</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  <a href="setlim_1.html#K4" title="SETLIM_1:func.4">superior_setsequence</a> <font color="Maroon" title="c2">B</font> is  <a href="setlim_1.html#V1" title="SETLIM_1:attr.1">monotone</a> </span><br/>

<a NAME="E3:32"/>
 <a href="setlim_1.html#K4" title="SETLIM_1:func.4">superior_setsequence</a> <font color="Maroon" title="c2">B</font> is  <a href="prob_1.html#V2" title="PROB_1:attr.2">non-ascending</a> 
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="setlim_1.html#T24" target="_self" title="SETLIM_1:th.24">Th24</a></span>;<br/>
<span class="kw">hence </span><a NAME="E4:32"/>
 <a href="setlim_1.html#K4" title="SETLIM_1:func.4">superior_setsequence</a> <font color="Maroon" title="c2">B</font> is  <a href="setlim_1.html#V1" title="SETLIM_1:attr.1">monotone</a> 
 <span class="kw">by</span> <span class="lab"><a class="ref" href="setlim_1.html#D1" target="_self" title="SETLIM_1:def.1">Def1</a></span>; <a class="txt" 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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