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

<span class="kw">consider </span><font color="Maroon" title="c1">o</font>, <font color="Maroon" title="c2">m</font> being    <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> ;<br/>
<span class="kw">take </span>
 <a href="cat_4.html#G1" title="CAT_4:aggr.1">ProdCatStr</a>(# <span class="p1"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><font color="Maroon" title="c1">o</font></span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span>,<span class="p1"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><font color="Maroon" title="c2">m</font></span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span>,<span class="p1">(<span class="default"><font color="Maroon" title="c2">m</font> <a href="funcop_1.html#K18" title="FUNCOP_1:func.18">:-&gt;</a> <font color="Maroon" title="c1">o</font></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon" title="c2">m</font> <a href="funcop_1.html#K18" title="FUNCOP_1:func.18">:-&gt;</a> <font color="Maroon" title="c1">o</font></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon" title="c2">m</font>,<font color="Maroon" title="c2">m</font> <a href="funcop_1.html#K17" title="FUNCOP_1:func.17">:-&gt;</a> <font color="Maroon" title="c2">m</font></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon" title="c1">o</font> <a href="funcop_1.html#K18" title="FUNCOP_1:func.18">:-&gt;</a> <font color="Maroon" title="c2">m</font></span>)</span>,<span class="p1">(<span class="default"><a href="algstr_1.html#K1" title="ALGSTR_1:func.1">Extract</a> <font color="Maroon" title="c1">o</font></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon" title="c1">o</font>,<font color="Maroon" title="c1">o</font> <a href="funcop_1.html#K17" title="FUNCOP_1:func.17">:-&gt;</a> <font color="Maroon" title="c1">o</font></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon" title="c1">o</font>,<font color="Maroon" title="c1">o</font> <a href="funcop_1.html#K17" title="FUNCOP_1:func.17">:-&gt;</a> <font color="Maroon" title="c2">m</font></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon" title="c1">o</font>,<font color="Maroon" title="c1">o</font> <a href="funcop_1.html#K17" title="FUNCOP_1:func.17">:-&gt;</a> <font color="Maroon" title="c2">m</font></span>)</span> #)
; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> ( not  <a href="cat_4.html#G1" title="CAT_4:aggr.1">ProdCatStr</a>(# <span class="p1"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><font color="Maroon" title="c1">o</font></span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span>,<span class="p1"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><font color="Maroon" title="c2">m</font></span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span>,<span class="p1">(<span class="default"><font color="Maroon" title="c2">m</font> <a href="funcop_1.html#K18" title="FUNCOP_1:func.18">:-&gt;</a> <font color="Maroon" title="c1">o</font></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon" title="c2">m</font> <a href="funcop_1.html#K18" title="FUNCOP_1:func.18">:-&gt;</a> <font color="Maroon" title="c1">o</font></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon" title="c2">m</font>,<font color="Maroon" title="c2">m</font> <a href="funcop_1.html#K17" title="FUNCOP_1:func.17">:-&gt;</a> <font color="Maroon" title="c2">m</font></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon" title="c1">o</font> <a href="funcop_1.html#K18" title="FUNCOP_1:func.18">:-&gt;</a> <font color="Maroon" title="c2">m</font></span>)</span>,<span class="p1">(<span class="default"><a href="algstr_1.html#K1" title="ALGSTR_1:func.1">Extract</a> <font color="Maroon" title="c1">o</font></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon" title="c1">o</font>,<font color="Maroon" title="c1">o</font> <a href="funcop_1.html#K17" title="FUNCOP_1:func.17">:-&gt;</a> <font color="Maroon" title="c1">o</font></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon" title="c1">o</font>,<font color="Maroon" title="c1">o</font> <a href="funcop_1.html#K17" title="FUNCOP_1:func.17">:-&gt;</a> <font color="Maroon" title="c2">m</font></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon" title="c1">o</font>,<font color="Maroon" title="c1">o</font> <a href="funcop_1.html#K17" title="FUNCOP_1:func.17">:-&gt;</a> <font color="Maroon" title="c2">m</font></span>)</span> #) is  <a href="struct_0.html#V11" title="STRUCT_0:attr.11">void</a>  &amp; not  <a href="cat_4.html#G1" title="CAT_4:aggr.1">ProdCatStr</a>(# <span class="p1"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><font color="Maroon" title="c1">o</font></span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span>,<span class="p1"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><font color="Maroon" title="c2">m</font></span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span>,<span class="p1">(<span class="default"><font color="Maroon" title="c2">m</font> <a href="funcop_1.html#K18" title="FUNCOP_1:func.18">:-&gt;</a> <font color="Maroon" title="c1">o</font></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon" title="c2">m</font> <a href="funcop_1.html#K18" title="FUNCOP_1:func.18">:-&gt;</a> <font color="Maroon" title="c1">o</font></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon" title="c2">m</font>,<font color="Maroon" title="c2">m</font> <a href="funcop_1.html#K17" title="FUNCOP_1:func.17">:-&gt;</a> <font color="Maroon" title="c2">m</font></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon" title="c1">o</font> <a href="funcop_1.html#K18" title="FUNCOP_1:func.18">:-&gt;</a> <font color="Maroon" title="c2">m</font></span>)</span>,<span class="p1">(<span class="default"><a href="algstr_1.html#K1" title="ALGSTR_1:func.1">Extract</a> <font color="Maroon" title="c1">o</font></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon" title="c1">o</font>,<font color="Maroon" title="c1">o</font> <a href="funcop_1.html#K17" title="FUNCOP_1:func.17">:-&gt;</a> <font color="Maroon" title="c1">o</font></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon" title="c1">o</font>,<font color="Maroon" title="c1">o</font> <a href="funcop_1.html#K17" title="FUNCOP_1:func.17">:-&gt;</a> <font color="Maroon" title="c2">m</font></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon" title="c1">o</font>,<font color="Maroon" title="c1">o</font> <a href="funcop_1.html#K17" title="FUNCOP_1:func.17">:-&gt;</a> <font color="Maroon" title="c2">m</font></span>)</span> #) is  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>  )</span><br/>

<span class="kw">thus </span><a NAME="E2:5_1_1"/>
( not  <a href="cat_4.html#G1" title="CAT_4:aggr.1">ProdCatStr</a>(# <span class="p1"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><font color="Maroon" title="c1">o</font></span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span>,<span class="p1"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><font color="Maroon" title="c2">m</font></span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span>,<span class="p1">(<span class="default"><font color="Maroon" title="c2">m</font> <a href="funcop_1.html#K18" title="FUNCOP_1:func.18">:-&gt;</a> <font color="Maroon" title="c1">o</font></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon" title="c2">m</font> <a href="funcop_1.html#K18" title="FUNCOP_1:func.18">:-&gt;</a> <font color="Maroon" title="c1">o</font></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon" title="c2">m</font>,<font color="Maroon" title="c2">m</font> <a href="funcop_1.html#K17" title="FUNCOP_1:func.17">:-&gt;</a> <font color="Maroon" title="c2">m</font></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon" title="c1">o</font> <a href="funcop_1.html#K18" title="FUNCOP_1:func.18">:-&gt;</a> <font color="Maroon" title="c2">m</font></span>)</span>,<span class="p1">(<span class="default"><a href="algstr_1.html#K1" title="ALGSTR_1:func.1">Extract</a> <font color="Maroon" title="c1">o</font></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon" title="c1">o</font>,<font color="Maroon" title="c1">o</font> <a href="funcop_1.html#K17" title="FUNCOP_1:func.17">:-&gt;</a> <font color="Maroon" title="c1">o</font></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon" title="c1">o</font>,<font color="Maroon" title="c1">o</font> <a href="funcop_1.html#K17" title="FUNCOP_1:func.17">:-&gt;</a> <font color="Maroon" title="c2">m</font></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon" title="c1">o</font>,<font color="Maroon" title="c1">o</font> <a href="funcop_1.html#K17" title="FUNCOP_1:func.17">:-&gt;</a> <font color="Maroon" title="c2">m</font></span>)</span> #) is  <a href="struct_0.html#V11" title="STRUCT_0:attr.11">void</a>  &amp; not  <a href="cat_4.html#G1" title="CAT_4:aggr.1">ProdCatStr</a>(# <span class="p1"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><font color="Maroon" title="c1">o</font></span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span>,<span class="p1"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><font color="Maroon" title="c2">m</font></span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span>,<span class="p1">(<span class="default"><font color="Maroon" title="c2">m</font> <a href="funcop_1.html#K18" title="FUNCOP_1:func.18">:-&gt;</a> <font color="Maroon" title="c1">o</font></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon" title="c2">m</font> <a href="funcop_1.html#K18" title="FUNCOP_1:func.18">:-&gt;</a> <font color="Maroon" title="c1">o</font></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon" title="c2">m</font>,<font color="Maroon" title="c2">m</font> <a href="funcop_1.html#K17" title="FUNCOP_1:func.17">:-&gt;</a> <font color="Maroon" title="c2">m</font></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon" title="c1">o</font> <a href="funcop_1.html#K18" title="FUNCOP_1:func.18">:-&gt;</a> <font color="Maroon" title="c2">m</font></span>)</span>,<span class="p1">(<span class="default"><a href="algstr_1.html#K1" title="ALGSTR_1:func.1">Extract</a> <font color="Maroon" title="c1">o</font></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon" title="c1">o</font>,<font color="Maroon" title="c1">o</font> <a href="funcop_1.html#K17" title="FUNCOP_1:func.17">:-&gt;</a> <font color="Maroon" title="c1">o</font></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon" title="c1">o</font>,<font color="Maroon" title="c1">o</font> <a href="funcop_1.html#K17" title="FUNCOP_1:func.17">:-&gt;</a> <font color="Maroon" title="c2">m</font></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon" title="c1">o</font>,<font color="Maroon" title="c1">o</font> <a href="funcop_1.html#K17" title="FUNCOP_1:func.17">:-&gt;</a> <font color="Maroon" title="c2">m</font></span>)</span> #) is  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>  )
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


</div>
