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

<span class="kw">let </span><font color="Maroon" title="c1">C</font> be   <a href="altcat_1.html#NM4" title="ALTCAT_1:NM.4">category</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  for <font color="Olive" title="b1">o1</font>, <font color="Olive" title="b2">o2</font> being   <a href="altcat_1.html#NM1" title="ALTCAT_1:NM.1">object</a> of <font color="Maroon" title="c1">C</font>  st <font color="Olive" title="b1">o1</font> is  <a href="altcat_3.html#V8" title="ALTCAT_3:attr.8">_zero</a>  &amp; <font color="Olive" title="b2">o2</font> is  <a href="altcat_3.html#V8" title="ALTCAT_3:attr.8">_zero</a>  holds <br/><font color="Olive" title="b1">o1</font>,<font color="Olive" title="b2">o2</font> <a href="altcat_3.html#R2" title="ALTCAT_3:pred.2">are_iso</a> </span><br/><span class="kw">let </span><font color="Maroon" title="c2">o1</font>, <font color="Maroon" title="c3">o2</font> be   <a href="altcat_1.html#NM1" title="ALTCAT_1:NM.1">object</a> of <font color="Maroon" title="c1">C</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c2">o1</font> is  <a href="altcat_3.html#V8" title="ALTCAT_3:attr.8">_zero</a>  &amp; <font color="Maroon" title="c3">o2</font> is  <a href="altcat_3.html#V8" title="ALTCAT_3:attr.8">_zero</a>  implies <font color="Maroon" title="c2">o1</font>,<font color="Maroon" title="c3">o2</font> <a href="altcat_3.html#R2" title="ALTCAT_3:pred.2">are_iso</a>  )</span><br/>



<span class="kw">assume </span><a NAME="E1:49"/>
( <font color="Maroon" title="c2">o1</font> is  <a href="altcat_3.html#V8" title="ALTCAT_3:attr.8">_zero</a>  &amp; <font color="Maroon" title="c3">o2</font> is  <a href="altcat_3.html#V8" title="ALTCAT_3:attr.8">_zero</a>  )
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <font color="Maroon" title="c2">o1</font>,<font color="Maroon" title="c3">o2</font> <a href="altcat_3.html#R2" title="ALTCAT_3:pred.2">are_iso</a> </span><br/>

<a NAME="E2:49"/><span class="kw">then </span>
( <font color="Maroon" title="c2">o1</font> is  <a href="altcat_3.html#V6" title="ALTCAT_3:attr.6">initial</a>  &amp; <font color="Maroon" title="c3">o2</font> is  <a href="altcat_3.html#V6" title="ALTCAT_3:attr.6">initial</a>  )
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="altcat_3.html#D11" target="_self" title="ALTCAT_3:def.11">Def11</a></span>;<br/>
<span class="kw">hence </span><a NAME="E3:49"/>
<font color="Maroon" title="c2">o1</font>,<font color="Maroon" title="c3">o2</font> <a href="altcat_3.html#R2" title="ALTCAT_3:pred.2">are_iso</a> 
 <span class="kw">by</span> <span class="lab"><a class="ref" href="altcat_3.html#T26" target="_self" title="ALTCAT_3:th.26">Th26</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


</div>
