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<a NAME="E1:80_1_1"/><span class="lab"><font color="Green" title="E45">A0</font></span>: 
 <a href="rvsum_1.html#K1" title="RVSUM_1:func.1">rng</a> <span class="p1">(<span class="default"><a href="seq_1.html#K1" title="SEQ_1:func.1">seq_const</a> 1</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default">1</span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="funcop_1.html#T8" onmouseover="rs('funcop_1/T8')" onmouseout="rh()">FUNCOP_1:8</a></span>;<br/>
<a NAME="E2:80_1_1"/><span class="lab"><font color="Green" title="E46">A1</font></span>: 
1 <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> 10
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="enumset1.html#D8" onmouseover="rs('enumset1/D8')" onmouseout="rh()">ENUMSET1:def 8</a>, <a class="ref" href="card_1.html#T58" onmouseover="rs('card_1/T58')" onmouseout="rh()">CARD_1:58</a></span>;<br/>
<a NAME="E3:80_1_1"/>
 not 10 is  <a href="zfmisc_1.html#V1" title="ZFMISC_1:attr.1">trivial</a> 
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="nat_2.html#T28" onmouseover="rs('nat_2/T28')" onmouseout="rh()">NAT_2:28</a></span>;<br/>
<span class="kw">hence </span><a NAME="E4:80_1_1"/>
 <a href="liouvil1.html#K8" title="LIOUVIL1:func.8">Liouville_constant</a>  is  <a href="liouvil1.html#V2" title="LIOUVIL1:attr.2">liouville</a> 
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:80_1_1"><span class="lab"><font color="Green" title="E46">A1</font></span></a>, <a class="ref" href="liouvil1.html#T42" target="_self" onmouseover="rs('liouvil1/T42')" onmouseout="rh()">Th38</a>, <a class="txt" href="#E1:80_1_1"><span class="lab"><font color="Green" title="E45">A0</font></span></a>, <a class="ref" href="zfmisc_1.html#T31" onmouseover="rs('zfmisc_1/T31')" onmouseout="rh()">ZFMISC_1:31</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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