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<b>let </b><font color="Maroon">o1</font> be   <a href="binop_1.html#NM1">UnOp</a> of <font color="Maroon">F<sub>2</sub></font>(), <font color="Maroon">o2</font> be   <a href="binop_1.html#NM1">UnOp</a> of <font color="Maroon">F<sub>2</sub></font>();<br/>

<b>assume </b><b>that </b><br/><a NAME="E1:90_1"/><i><font color="Green">E27</font></i>: 
for <font color="Olive">f</font> being   <a href="hidden.html#M1">set</a>   st <font color="Olive">f</font> <a href="hidden.html#R2">in</a> <font color="Maroon">F<sub>2</sub></font>() holds <br/><font color="Maroon">o1</font> <a href="funct_1.html#K1">.</a> <font color="Olive">f</font> <a href="hidden.html#R1">=</a> <font color="Maroon">F<sub>3</sub></font>(<font color="Olive">f</font>)
 <b>and </b><br/><a NAME="E2:90_1"/><i><font color="Green">E28</font></i>: 
for <font color="Olive">f</font> being   <a href="hidden.html#M1">set</a>   st <font color="Olive">f</font> <a href="hidden.html#R2">in</a> <font color="Maroon">F<sub>2</sub></font>() holds <br/><font color="Maroon">o2</font> <a href="funct_1.html#K1">.</a> <font color="Olive">f</font> <a href="hidden.html#R1">=</a> <font color="Maroon">F<sub>3</sub></font>(<font color="Olive">f</font>)
 ;<br/>

<a NAME="E3:90_1"/>
for <font color="Olive">f</font> being   <a href="subset_1.html#M1">Element</a> of <font color="Maroon">F<sub>2</sub></font>() holds  <font color="Maroon">o1</font> <a href="funct_2.html#K3">.</a> <font color="Olive">f</font> <a href="hidden.html#R1">=</a> <font color="Maroon">o2</font> <a href="funct_2.html#K3">.</a> <font color="Olive">f</font>
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="90_1_1"><b>proof </b></a><div class="add">

<b>let </b><font color="Maroon">f</font> be    <a href="subset_1.html#M1">Element</a> of <font color="Maroon">F<sub>2</sub></font>();<br/>

<font color="Maroon">o1</font> <a href="funct_2.html#K3">.</a> <font color="Maroon">f</font> = 
<font color="Maroon">F<sub>3</sub></font>(<font color="Maroon">f</font>)
<b>by </b><i/>
<br/>.= 
<font color="Maroon">o2</font> <a href="funct_2.html#K3">.</a> <font color="Maroon">f</font>
<b>by </b><i><a class="ref" href="modelc_1.html#D13" target="_self">Def13</a></i>
;<br/>
<b>hence </b><a NAME="E2:90_1_1"/>
<font color="Maroon">o1</font> <a href="funct_2.html#K3">.</a> <font color="Maroon">f</font> <a href="hidden.html#R1">=</a> <font color="Maroon">o2</font> <a href="funct_2.html#K3">.</a> <font color="Maroon">f</font>
 ;<br/>


</div><b>end;</b></div>
<b>hence </b><a NAME="E4:90_1"/>
<font color="Maroon">o1</font> <a href="funct_2.html#R2">=</a> <font color="Maroon">o2</font>
 <b>by </b><i><a class="ref" href="funct_2.html#T113">FUNCT_2:113</a></i>;<br/>


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