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<b>let </b><font color="Maroon">f1</font> be   <a href="funct_2.html#NM1">Function</a> of 3 <a href="finseq_2.html#K4">-tuples_on</a> <a href="circcomb.html#K10">BOOLEAN</a> , <a href="circcomb.html#K10">BOOLEAN</a> , <font color="Maroon">f2</font> be   <a href="funct_2.html#NM1">Function</a> of 3 <a href="finseq_2.html#K4">-tuples_on</a> <a href="circcomb.html#K10">BOOLEAN</a> , <a href="circcomb.html#K10">BOOLEAN</a> ;<br/>

<b>assume </b><b>that </b><br/><a NAME="E1:32_1"/><i><font color="Green">E33</font></i>: 
for <font color="Olive">x</font>, <font color="Olive">y</font>, <font color="Olive">z</font> being   <a href="subset_1.html#M2">Element</a> of  <a href="circcomb.html#K10">BOOLEAN</a>  holds  <font color="Maroon">f1</font> <a href="funct_1.html#K1">.</a> <span class="p1"><a href="finseq_1.html#K11">&lt;*</a><span class="default"><font color="Olive">x</font>,<font color="Olive">y</font>,<font color="Olive">z</font></span><a href="finseq_1.html#K11">*&gt;</a></span> <a href="hidden.html#R1">=</a> <font color="Maroon">F<sub>1</sub></font>(<font color="Olive">x</font>,<font color="Olive">y</font>,<font color="Olive">z</font>)
 <b>and </b><br/><a NAME="E2:32_1"/><i><font color="Green">E35</font></i>: 
for <font color="Olive">x</font>, <font color="Olive">y</font>, <font color="Olive">z</font> being   <a href="subset_1.html#M2">Element</a> of  <a href="circcomb.html#K10">BOOLEAN</a>  holds  <font color="Maroon">f2</font> <a href="funct_1.html#K1">.</a> <span class="p1"><a href="finseq_1.html#K11">&lt;*</a><span class="default"><font color="Olive">x</font>,<font color="Olive">y</font>,<font color="Olive">z</font></span><a href="finseq_1.html#K11">*&gt;</a></span> <a href="hidden.html#R1">=</a> <font color="Maroon">F<sub>1</sub></font>(<font color="Olive">x</font>,<font color="Olive">y</font>,<font color="Olive">z</font>)
 ;<br/>

<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="32_1_1"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">a</font> be   <a href="binarith.html#NM1">Tuple</a> of 3,<a href="circcomb.html#K10">BOOLEAN</a> ;<br/><b>consider </b><font color="Maroon">x</font> being    <a href="subset_1.html#M2">Element</a> of  <a href="circcomb.html#K10">BOOLEAN</a> , <font color="Maroon">y</font> being    <a href="subset_1.html#M2">Element</a> of  <a href="circcomb.html#K10">BOOLEAN</a> , <font color="Maroon">z</font> being    <a href="subset_1.html#M2">Element</a> of  <a href="circcomb.html#K10">BOOLEAN</a> <b> such that </b><br/><a NAME="E2:32_1_1"/><i><font color="Green">E54</font></i>: 
<font color="Maroon">a</font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="finseq_1.html#K11">&lt;*</a><span class="default"><font color="Maroon">x</font>,<font color="Maroon">y</font>,<font color="Maroon">z</font></span><a href="finseq_1.html#K11">*&gt;</a></span>
 <b>by </b><i><a class="ref" href="finseq_2.html#T123">FINSEQ_2:123</a></i>;<br/><b>thus </b><font color="Maroon">f1</font> <a href="funct_2.html#K3">.</a> <font color="Maroon">a</font> = 
<font color="Maroon">F<sub>1</sub></font>(<font color="Maroon">x</font>,<font color="Maroon">y</font>,<font color="Maroon">z</font>)
<b>by </b><i>, </i>
<br/>.= 
<font color="Maroon">f2</font> <a href="funct_2.html#K3">.</a> <font color="Maroon">a</font>
<b>by </b><i>, </i>
;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E4:32_1"/>
<font color="Maroon">f1</font> <a href="funct_2.html#R2">=</a> <font color="Maroon">f2</font>
 <b>by </b><i><a class="ref" href="funct_2.html#T113">FUNCT_2:113</a></i>;<br/>


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