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

<span class="kw">let </span><font color="Maroon" title="c1">t</font> be   <a href="grzlog_1.html#NM2" title="GRZLOG_1:NM.2">GRZ-formula</a>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c1">t</font> is  <a href="grzlog_1.html#V1" title="GRZLOG_1:attr.1">atomic</a>  implies  not <font color="Maroon" title="c1">t</font> is  <a href="grzlog_1.html#V3" title="GRZLOG_1:attr.3">conjunctive</a>  )</span><br/>

<span class="kw">assume </span><a NAME="E1:32_2_1"/><span class="lab"><font color="Green" title="E12">A1</font></span>: 
<font color="Maroon" title="c1">t</font> is  <a href="grzlog_1.html#V1" title="GRZLOG_1:attr.1">atomic</a> 
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  not <font color="Maroon" title="c1">t</font> is  <a href="grzlog_1.html#V3" title="GRZLOG_1:attr.3">conjunctive</a> </span><br/>

<span class="kw">assume </span><a NAME="E2:32_2_1"/>
<font color="Maroon" title="c1">t</font> is  <a href="grzlog_1.html#V3" title="GRZLOG_1:attr.3">conjunctive</a> 
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> contradiction</span><br/>

<a NAME="E3:32_2_1"/><span class="kw">then </span>
 <a href="polnot_1.html#K29" title="POLNOT_1:func.29">Polish-arity</a> <font color="Maroon" title="c1">t</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 2
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="grzlog_1.html#T2" target="_self" onmouseover="rs('grzlog_1/T2')" onmouseout="rh()">Th4</a>, <a class="ref" href="polnot_1.html#D35" onmouseover="rs('polnot_1/D35')" onmouseout="rh()">POLNOT_1:def 35</a></span>;<br/>
<span class="kw">hence </span><a NAME="E4:32_2_1"/>
contradiction
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:32_2_1"><span class="lab"><font color="Green" title="E12">A1</font></span></a>, <a class="ref" href="polnot_1.html#T84" onmouseover="rs('polnot_1/T84')" onmouseout="rh()">POLNOT_1:84</a></span>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


</div>
