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<b>let </b><font color="Maroon">X</font> be  non <a href="xboole_0.html#V1">empty</a>  <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">R</font> be   <a href="fuzzy_3.html#NM1">RMembership_Func</a> of <font color="Maroon">X</font>,<font color="Maroon">X</font>;<br/>



<b>consider </b><font color="Maroon">F</font> being   <a href="funct_2.html#NM1">Function</a> of  <a href="numbers.html#K5">NAT</a> , <a href="funct_2.html#K1">Funcs</a> <span class="p1"><a href="zfmisc_1.html#K2">[:</a><span class="default"><font color="Maroon">X</font>,<font color="Maroon">X</font></span><a href="zfmisc_1.html#K2">:]</a></span>,<span class="p1"><a href="rcomp_1.html#K1">[.</a><span class="default">0,1</span><a href="rcomp_1.html#K1">.]</a></span><b> such that </b><br/><a NAME="E2:41"/><i><font color="Green">E49</font></i>: 
( 0 <a href="lfuzzy_1.html#K4" target="_self">iter</a> <font color="Maroon">R</font> <a href="hidden.html#R1">=</a> <font color="Maroon">F</font> <a href="funct_2.html#K3">.</a> 0 &amp; <font color="Maroon">F</font> <a href="funct_2.html#K3">.</a> 0 <a href="hidden.html#R1">=</a>  <a href="fuzzy_4.html#K4">Imf</a> <font color="Maroon">X</font>,<font color="Maroon">X</font> &amp; ( for <font color="Olive">k</font> being <a href="ordinal1.html#V7">natural</a>  <a href="ordinal1.html#NM1" target="_self">number</a>   ex <font color="Olive">Q</font> being  <a href="fuzzy_3.html#NM1">RMembership_Func</a> of <font color="Maroon">X</font>,<font color="Maroon">X</font> st <br/>( <font color="Maroon">F</font> <a href="funct_1.html#K1">.</a> <font color="Olive">k</font> <a href="hidden.html#R1">=</a> <font color="Olive">Q</font> &amp; <font color="Maroon">F</font> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><font color="Olive">k</font> <a href="xcmplx_0.html#K2">+</a> 1</span>)</span> <a href="hidden.html#R1">=</a> <font color="Olive">Q</font> <a href="fuzzy_4.html#K3">(#)</a> <font color="Maroon">R</font> ) ) )
 <b>by </b><i/>;<br/>
<b>thus </b><a NAME="E3:41"/>
0 <a href="lfuzzy_1.html#K4" target="_self">iter</a> <font color="Maroon">R</font> <a href="hidden.html#R1">=</a>  <a href="fuzzy_4.html#K4">Imf</a> <font color="Maroon">X</font>,<font color="Maroon">X</font>
 <b>by </b><i/>;<br/>


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