<?xml version="1.0"?>
<div class="add">

<b>let </b><font color="Maroon" title="c1">AP</font> be   <a href="diraf.html#NM2" title="DIRAF:NM.2">AffinPlane</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c1">AP</font> <a href="aff_2.html#NR7" title="AFF_2:NR.7">satisfies_TDES</a>  implies <font color="Maroon" title="c1">AP</font> <a href="aff_2.html#NR11" title="AFF_2:NR.11">satisfies_des</a>  )</span><br/>

<b>assume </b><a NAME="E1:42"/>
<font color="Maroon" title="c1">AP</font> <a href="aff_2.html#NR7" title="AFF_2:NR.7">satisfies_TDES</a> 
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon" title="c1">AP</font> <a href="aff_2.html#NR11" title="AFF_2:NR.11">satisfies_des</a> </span><br/>

<a NAME="E2:42"/><b>then </b>
<font color="Maroon" title="c1">AP</font> <a href="aff_2.html#NR12" title="AFF_2:NR.12">satisfies_des_1</a> 
 
<b>by </b><i><a class="ref" href="aff_2.html#T17" target="_self" title="AFF_2:th.17">Th17</a>, <a class="ref" href="aff_2.html#T27" target="_self" title="AFF_2:th.27">Th27</a></i>;<br/>
<b>hence </b><a NAME="E3:42"/>
<font color="Maroon" title="c1">AP</font> <a href="aff_2.html#NR11" title="AFF_2:NR.11">satisfies_des</a> 
 <b>by </b><i><a class="ref" href="aff_2.html#T21" target="_self" title="AFF_2:th.21">Th21</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


</div>
