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

<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="120_1_1_1"><b>now </b></a><div class="add"><a NAME="E1:120_1_1_1"/><i><font color="Green" title="E64">A1</font></i>: 
the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <span class="p1">(<span class="default"><a href="tex_4.html#NK6" title="TEX_4:NK.6">Sspace</a> <font color="Maroon" title="c2">A</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">A</font>
 <b>by </b><i><a class="txt" href="tex_4.html#E100"><i><font color="Green" title="E63">Lm3</font></i></a></i>;<br/><b>assume </b><a NAME="E2:120_1_1_1"/>
 <a href="tex_4.html#NK6" title="TEX_4:NK.6">Sspace</a> <font color="Maroon" title="c2">A</font> is <a href="tex_2.html#V2" title="TEX_2:attr.2">proper</a>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> contradiction</span><br/><b>hence </b><a NAME="E3:120_1_1_1"/>
contradiction
 <b>by </b><i><a class="txt" href="tex_4.html#E1:120_1_1_1"><i><font color="Green" title="E64">A1</font></i></a>, <a class="ref" href="tex_2.html#T13" title="TEX_2:th.13">TEX_2:13</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><b>end;</b></div>
<b>hence </b><a NAME="E2:120_1_1"/>
not  <a href="tex_4.html#NK6" title="TEX_4:NK.6">Sspace</a> <font color="Maroon" title="c2">A</font> is <a href="tex_2.html#V2" title="TEX_2:attr.2">proper</a>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


</div>
