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<b>let </b><font color="Maroon">X</font> be    <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">F</font> be  non <a href="struct_0.html#V3">empty</a>  <a href="monoid_0.html#M2" target="_self">SubStr</a> of  <a href="monoid_0.html#K13" target="_self">GPFuncs</a> <font color="Maroon">X</font>;<br/><b>let </b><font color="Maroon">f</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">F</font>, <font color="Maroon">g</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">F</font>;<br/>





<a NAME="E1:140"/>
<font color="Maroon">H<sub>1</sub></font>(<font color="Maroon">F</font>) <a href="tarski.html#R1">c=</a> <font color="Maroon">H<sub>1</sub></font>( <a href="monoid_0.html#K13" target="_self">GPFuncs</a> <font color="Maroon">X</font>)
 
<b>by </b><i/>;<br/>
<b>then reconsider </b><font color="Maroon">f'</font> = <font color="Maroon">f</font>, <font color="Maroon">g'</font> = <font color="Maroon">g</font> as   <a href="struct_0.html#NM1">Element</a> of <span class="p1">(<span class="default"><a href="monoid_0.html#K13" target="_self">GPFuncs</a> <font color="Maroon">X</font></span>)</span> <b>by </b><i><a class="ref" href="tarski.html#D3">TARSKI:def 3</a></i>;<br/>
<a NAME="E3:140"/>
<font color="Maroon">f</font> <a href="monoid_0.html#K2" target="_self">[*]</a> <font color="Maroon">g</font> <a href="hidden.html#R1">=</a> <font color="Maroon">f'</font> <a href="monoid_0.html#K2" target="_self">[*]</a> <font color="Maroon">g'</font>
 
<b>by </b><i/>;<br/>
<b>hence </b><a NAME="E4:140"/>
<font color="Maroon">f</font> <a href="monoid_0.html#K2" target="_self">[*]</a> <font color="Maroon">g</font> <a href="hidden.html#R1">=</a> <font color="Maroon">f</font> <a href="monoid_0.html#NK2" target="_self">(*)</a> <font color="Maroon">g</font>
 <b>by </b><i><a class="ref" href="monoid_0.html#T16" target="_self">Th16</a></i>;<br/>


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