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<a NAME="E1:70_1_1"/>
 <a href="qc_lang1.html#K1" title="QC_LANG1:func.1">QC-symbols</a> <font color="Maroon" title="c1">A</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="qc_lang1.html#K1" title="QC_LANG1:func.1">QC-symbols</a> <font color="Maroon" title="c1">A</font>
 
;<br/>
<span class="kw">then </span><span class="kw">reconsider </span><font color="Maroon" title="c2">symb</font> =  <a href="qc_lang1.html#K1" title="QC_LANG1:func.1">QC-symbols</a> <font color="Maroon" title="c1">A</font> as   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>  <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <span class="p1">(<span class="default"><a href="qc_lang1.html#K1" title="QC_LANG1:func.1">QC-symbols</a> <font color="Maroon" title="c1">A</font></span>)</span> ;<br/>
<span class="kw">set </span><font color="Maroon" title="c3">z</font> =  <a href="qc_lang1.html#K25" title="QC_LANG1:func.25">min</a> <font color="Maroon" title="c2">symb</font>;<br/>
<span class="kw">take </span>
 <a href="qc_lang1.html#K25" title="QC_LANG1:func.25">min</a> <font color="Maroon" title="c2">symb</font>
; <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">  for <font color="Olive" title="b1">t</font> being   <a href="qc_lang1.html#NM2" title="QC_LANG1:NM.2">QC-symbol</a> of <font color="Maroon" title="c1">A</font> holds   <a href="qc_lang1.html#K25" title="QC_LANG1:func.25">min</a> <font color="Maroon" title="c2">symb</font> <a href="qc_lang1.html#R1" title="QC_LANG1:pred.1">&lt;=</a> <font color="Olive" title="b1">t</font></span><br/>

<span class="kw">thus </span><a NAME="E3:70_1_1"/>
 for <font color="Olive" title="b1">t</font> being   <a href="qc_lang1.html#NM2" title="QC_LANG1:NM.2">QC-symbol</a> of <font color="Maroon" title="c1">A</font> holds   <a href="qc_lang1.html#K25" title="QC_LANG1:func.25">min</a> <font color="Maroon" title="c2">symb</font> <a href="qc_lang1.html#R1" title="QC_LANG1:pred.1">&lt;=</a> <font color="Olive" title="b1">t</font>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="qc_lang1.html#D35" target="_self" onmouseover="rs('qc_lang1/D35')" onmouseout="rh()">Def35</a></span>; <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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