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<a NAME="E1:26_1_1"/><span class="lab"><font color="Green" title="E23">A1</font></span>: 
 <a href="surreal0.html#K11" title="SURREAL0:func.11">0_No</a>  <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <span class="p1"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><a href="surreal0.html#K11" title="SURREAL0:func.11">0_No</a></span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="tarski.html#D1" onmouseover="rs('tarski/D1')" onmouseout="rh()">TARSKI:def 1</a></span>;<br/>
<span class="kw">assume </span><a NAME="E2:26_1_1"/>
 <a href="surrealo.html#K1" title="SURREALO:func.1">1_No</a>  <a href="surrealo.html#R1" title="SURREALO:pred.1">&lt;=</a>  <a href="surreal0.html#K11" title="SURREAL0:func.11">0_No</a> 
 ; <span class="comment"><font color="firebrick">:: according to </font></span><a class="ref" href="surreali.html#D8" target="_self" onmouseover="rs('surreali/D8')" onmouseout="rh()">SURREALI:def 8</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"> contradiction</span><br/>

<a NAME="E3:26_1_1"/><span class="kw">then </span>
 <a href="surreal0.html#K1" title="SURREAL0:func.1">L_</a> <a href="surrealo.html#K1" title="SURREALO:func.1">1_No</a> <a href="surreal0.html#R7" title="SURREAL0:pred.7">&lt;&lt;</a> <span class="p1"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><a href="surreal0.html#K11" title="SURREAL0:func.11">0_No</a></span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="surreal0.html#T43" onmouseover="rs('surreal0/T43')" onmouseout="rh()">SURREAL0:43</a></span>;<br/>
<span class="kw">hence </span><a NAME="E4:26_1_1"/>
contradiction
 <span class="kw">by</span> <span class="lab"><a class="ref" href="surrealo.html#T3" onmouseover="rs('surrealo/T3')" onmouseout="rh()">SURREALO:3</a>, <a class="txt" href="#E1:26_1_1"><span class="lab"><font color="Green" title="E23">A1</font></span></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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