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<b>let </b><font color="Maroon">x</font> be   <a href="zf_lang.html#NM1">Variable</a>;<br/><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">H1</font> be   <a href="zf_lang.html#NM2">ZF-formula</a>;<br/>





<b>assume </b><a NAME="E1:59"/><i><font color="Green">E31</font></i>: 
<font color="Maroon">H</font> is <a href="zf_lang.html#V11" target="_self">existential</a>
 ;<br/>

<b>then consider </b><font color="Maroon">y</font> being   <a href="zf_lang.html#NM1">Variable</a>, <font color="Maroon">F</font> being   <a href="zf_lang.html#NM2">ZF-formula</a><b> such that </b><br/><a NAME="E3:59"/><i><font color="Green">E32</font></i>: 
<font color="Maroon">H</font> <a href="hidden.html#R1">=</a>  <a href="zf_lang.html#K13" target="_self">Ex</a> <font color="Maroon">y</font>,<font color="Maroon">F</font>
 <b>by </b><i/>;<br/>
<a NAME="E4:59"/>
<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="E5:59"/><b>then </b>
not <font color="Maroon">H</font> is <a href="zf_lang.html#V6" target="_self">universal</a>
 
<b>by </b><i/>;<br/>
<b>hence </b><a NAME="E6:59"/>
( ( <font color="Maroon">x</font> <a href="hidden.html#R1">=</a>  <a href="zf_lang.html#K23" target="_self">bound_in</a> <font color="Maroon">H</font> implies  ex <font color="Olive">H1</font> being  <a href="zf_lang.html#NM2">ZF-formula</a> st  <a href="zf_lang.html#K13" target="_self">Ex</a> <font color="Maroon">x</font>,<font color="Olive">H1</font> <a href="hidden.html#R1">=</a> <font color="Maroon">H</font> ) &amp; (  ex <font color="Olive">H1</font> being  <a href="zf_lang.html#NM2">ZF-formula</a> st  <a href="zf_lang.html#K13" target="_self">Ex</a> <font color="Maroon">x</font>,<font color="Olive">H1</font> <a href="hidden.html#R1">=</a> <font color="Maroon">H</font> implies <font color="Maroon">x</font> <a href="hidden.html#R1">=</a>  <a href="zf_lang.html#K23" target="_self">bound_in</a> <font color="Maroon">H</font> ) &amp; ( <font color="Maroon">H1</font> <a href="hidden.html#R1">=</a>  <a href="zf_lang.html#K24" target="_self">the_scope_of</a> <font color="Maroon">H</font> implies  ex <font color="Olive">x</font> being  <a href="zf_lang.html#NM1">Variable</a> st  <a href="zf_lang.html#K13" target="_self">Ex</a> <font color="Olive">x</font>,<font color="Maroon">H1</font> <a href="hidden.html#R1">=</a> <font color="Maroon">H</font> ) &amp; (  ex <font color="Olive">x</font> being  <a href="zf_lang.html#NM1">Variable</a> st  <a href="zf_lang.html#K13" target="_self">Ex</a> <font color="Olive">x</font>,<font color="Maroon">H1</font> <a href="hidden.html#R1">=</a> <font color="Maroon">H</font> implies <font color="Maroon">H1</font> <a href="hidden.html#R1">=</a>  <a href="zf_lang.html#K24" target="_self">the_scope_of</a> <font color="Maroon">H</font> ) )
 <b>by </b><i>, , </i>;<br/>


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