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<a NAME="E1:49_1_1"/>
 <a href="amistd_1.html#K3" title="AMISTD_1:func.3">SUCC</a> 2,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ami_2.html#K5" title="AMI_2:func.5">NAT</a> 
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_9.html#T24" target="_self" title="SCMPDS_9:th.24">Th24</a></span>;<br/>
<a NAME="E2:49_1_1"/><span class="kw">then </span><span class="lab"><font color="Green" title="E30">A1</font></span>: 
2 <a href="amistd_1.html#R1" title="AMISTD_1:pred.1">&lt;=</a> 1, <a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a> 
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="amistd_1.html#T59" title="AMISTD_1:th.59">AMISTD_1:59</a></span>;<br/>
<a NAME="E3:49_1_1"/>
 <a href="amistd_1.html#K3" title="AMISTD_1:func.3">SUCC</a> 1,<a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ami_2.html#K5" title="AMI_2:func.5">NAT</a> 
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_9.html#T24" target="_self" title="SCMPDS_9:th.24">Th24</a></span>;<br/>
<a NAME="E4:49_1_1"/><span class="kw">then </span><span class="lab"><font color="Green" title="E31">A2</font></span>: 
1 <a href="amistd_1.html#R1" title="AMISTD_1:pred.1">&lt;=</a> 2, <a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a> 
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="amistd_1.html#T59" title="AMISTD_1:th.59">AMISTD_1:59</a></span>;<br/>
<span class="kw">assume </span><a NAME="E5:49_1_1"/>
 <a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>  is  <a href="amistd_1.html#V3" title="AMISTD_1:attr.3">InsLoc-antisymmetric</a> 
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> contradiction</span><br/>

<span class="kw">hence </span><a NAME="E6:49_1_1"/>
contradiction
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E4:49_1_1"><span class="lab"><font color="Green" title="E31">A2</font></span></a>, <a class="txt" href="#E2:49_1_1"><span class="lab"><font color="Green" title="E30">A1</font></span></a>, <a class="ref" href="amistd_1.html#D9" title="AMISTD_1:def.9">AMISTD_1:def 9</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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