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

<b>let </b><font color="Maroon">H</font> be   <a href="zf_lang.html#NM2">ZF-formula</a>;<br/><b>let </b><font color="Maroon">F</font> be   <a href="zf_lang.html#NM2">ZF-formula</a>;<br/>



<b>assume </b><a NAME="E1:55"/><i><font color="Green">E31</font></i>: 
<font color="Maroon">H</font> is <a href="zf_lang.html#V8" target="_self">disjunctive</a>
 ;<br/>

<b>then consider </b><font color="Maroon">F</font> being   <a href="zf_lang.html#NM2">ZF-formula</a>, <font color="Maroon">G</font> being   <a href="zf_lang.html#NM2">ZF-formula</a><b> such that </b><br/><a NAME="E3:55"/><i><font color="Green">E32</font></i>: 
<font color="Maroon">H</font> <a href="hidden.html#R1">=</a> <font color="Maroon">F</font> <a href="zf_lang.html#K10" target="_self">'or'</a> <font color="Maroon">G</font>
 <b>by </b><i/>;<br/>
<a NAME="E4:55"/>
<font color="Maroon">H</font> <a href="funct_1.html#K1">.</a> 1 <a href="hidden.html#R1">=</a> 2
 
<b>by </b><i>, </i>;<br/>
<a NAME="E5:55"/><b>then </b>
not <font color="Maroon">H</font> is <a href="zf_lang.html#V5" target="_self">conjunctive</a>
 
<b>by </b><i/>;<br/>
<b>hence </b><a NAME="E6:55"/>
( ( <font color="Maroon">F</font> <a href="hidden.html#R1">=</a>  <a href="zf_lang.html#K21" target="_self">the_left_argument_of</a> <font color="Maroon">H</font> implies  ex <font color="Olive">G</font> being  <a href="zf_lang.html#NM2">ZF-formula</a> st <font color="Maroon">F</font> <a href="zf_lang.html#K10" target="_self">'or'</a> <font color="Olive">G</font> <a href="hidden.html#R1">=</a> <font color="Maroon">H</font> ) &amp; (  ex <font color="Olive">G</font> being  <a href="zf_lang.html#NM2">ZF-formula</a> st <font color="Maroon">F</font> <a href="zf_lang.html#K10" target="_self">'or'</a> <font color="Olive">G</font> <a href="hidden.html#R1">=</a> <font color="Maroon">H</font> implies <font color="Maroon">F</font> <a href="hidden.html#R1">=</a>  <a href="zf_lang.html#K21" target="_self">the_left_argument_of</a> <font color="Maroon">H</font> ) &amp; ( <font color="Maroon">F</font> <a href="hidden.html#R1">=</a>  <a href="zf_lang.html#K22" target="_self">the_right_argument_of</a> <font color="Maroon">H</font> implies  ex <font color="Olive">G</font> being  <a href="zf_lang.html#NM2">ZF-formula</a> st <font color="Olive">G</font> <a href="zf_lang.html#K10" target="_self">'or'</a> <font color="Maroon">F</font> <a href="hidden.html#R1">=</a> <font color="Maroon">H</font> ) &amp; (  ex <font color="Olive">G</font> being  <a href="zf_lang.html#NM2">ZF-formula</a> st <font color="Olive">G</font> <a href="zf_lang.html#K10" target="_self">'or'</a> <font color="Maroon">F</font> <a href="hidden.html#R1">=</a> <font color="Maroon">H</font> implies <font color="Maroon">F</font> <a href="hidden.html#R1">=</a>  <a href="zf_lang.html#K22" target="_self">the_right_argument_of</a> <font color="Maroon">H</font> ) )
 <b>by </b><i>, , </i>;<br/>


</div>
