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

<b>let </b><font color="Maroon" title="c1">L</font> be    <a href="struct_0.html#L4" title="STRUCT_0:struct.4">ZeroOneStr</a> ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( not <font color="Maroon" title="c1">L</font> is <a href="struct_0.html#V6" title="STRUCT_0:attr.6">degenerated</a> implies  not <font color="Maroon" title="c1">L</font> is <a href="struct_0.html#V7" title="STRUCT_0:attr.7">trivial</a> )</span><br/>

<b>assume </b><a NAME="E1:31_1_1"/><i><font color="Green" title="E5">A1</font></i>: 
not <font color="Maroon" title="c1">L</font> is <a href="struct_0.html#V6" title="STRUCT_0:attr.6">degenerated</a>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> not <font color="Maroon" title="c1">L</font> is <a href="struct_0.html#V7" title="STRUCT_0:attr.7">trivial</a></span><br/>

<b>assume </b><a NAME="E2:31_1_1"/>
<font color="Maroon" title="c1">L</font> is <a href="struct_0.html#V7" title="STRUCT_0:attr.7">trivial</a>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> contradiction</span><br/>

<a NAME="E3:31_1_1"/><b>then </b>
 <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Maroon" title="c1">L</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="struct_0.html#K5" title="STRUCT_0:func.5">1.</a> <font color="Maroon" title="c1">L</font>
 
<b>by </b><i><a class="ref" href="struct_0.html#D10" target="_self" title="STRUCT_0:def.10">Def10</a></i>;<br/>
<b>hence </b><a NAME="E4:31_1_1"/>
contradiction
 <b>by </b><i><a class="txt" href="struct_0.html#E1:31_1_1"><i><font color="Green" title="E5">A1</font></i></a>, <a class="ref" href="struct_0.html#D8" target="_self" title="STRUCT_0:def.8">Def8</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>
