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<b>let </b><font color="Maroon">c<sub>1</sub></font> be    <a href="hidden.html#M1">set</a> ;<br/>

<a NAME="E1:147"/>
( <font color="Maroon">H<sub>2</sub></font>( <a href="monoid_0.html#K16" target="_self">GFuncs</a> <font color="Maroon">c<sub>1</sub></font>) <a href="funct_4.html#NR1" target="_self">&lt;=</a> <font color="Maroon">H<sub>2</sub></font>( <a href="monoid_0.html#K13" target="_self">GPFuncs</a> <font color="Maroon">c<sub>1</sub></font>) &amp; <font color="Maroon">c<sub>1</sub></font> <a href="monoid_0.html#K15" target="_self">-composition</a>  <a href="funct_2.html#R1">=</a> <font color="Maroon">H<sub>2</sub></font>( <a href="monoid_0.html#K13" target="_self">GPFuncs</a> <font color="Maroon">c<sub>1</sub></font>) &amp;  <a href="relat_1.html#K1">dom</a> <font color="Maroon">H<sub>2</sub></font>( <a href="monoid_0.html#K16" target="_self">GFuncs</a> <font color="Maroon">c<sub>1</sub></font>) <a href="hidden.html#R1">=</a> <span class="p1"><a href="zfmisc_1.html#K2">[:</a><span class="default"><font color="Maroon">H<sub>1</sub></font>( <a href="monoid_0.html#K16" target="_self">GFuncs</a> <font color="Maroon">c<sub>1</sub></font>),<font color="Maroon">H<sub>1</sub></font>( <a href="monoid_0.html#K16" target="_self">GFuncs</a> <font color="Maroon">c<sub>1</sub></font>)</span><a href="zfmisc_1.html#K2">:]</a></span> &amp; <font color="Maroon">H<sub>1</sub></font>( <a href="monoid_0.html#K16" target="_self">GFuncs</a> <font color="Maroon">c<sub>1</sub></font>) <a href="hidden.html#R1">=</a>  <a href="funct_2.html#K1">Funcs</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>1</sub></font> )
 
<b>by </b><i><a class="ref" href="monoid_0.html#D23" target="_self">Def23</a>, <a class="ref" href="monoid_0.html#D40" target="_self">Def40</a>, <a class="ref" href="funct_2.html#D1">FUNCT_2:def 1</a></i>;<br/>
<b>hence </b><a NAME="E2:147"/>
the <a href="group_1.html#U1">mult</a> of <span class="p1">(<span class="default"><a href="monoid_0.html#K16" target="_self">GFuncs</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="monoid_0.html#K15" target="_self">-composition</a> </span>)</span> <a href="realset1.html#K1">||</a> <span class="p1">(<span class="default"><a href="funct_2.html#K1">Funcs</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>1</sub></font></span>)</span>
 <b>by </b><i><a class="ref" href="grfunc_1.html#T64">GRFUNC_1:64</a></i>;<br/>


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