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<a NAME="E1:141_1_1"/><span class="lab"><font color="Green" title="E65">A1</font></span>: 
 the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <span class="p1">(<span class="default"><a href="monoid_0.html#K15" title="MONOID_0:func.15">GFuncs</a> <font color="Maroon" title="c1">X</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="funct_2.html#K1" title="FUNCT_2:func.1">Funcs</a> (<font color="Maroon" title="c1">X</font>,<font color="Maroon" title="c1">X</font>)
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="monoid_0.html#D40" target="_self" title="MONOID_0:def.40">Def40</a></span>;<br/>
<a NAME="E2:141_1_1"/>
 <a href="partfun1.html#K6" title="PARTFUN1:func.6">id</a> <font color="Maroon" title="c1">X</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="funct_2.html#K1" title="FUNCT_2:func.1">Funcs</a> (<font color="Maroon" title="c1">X</font>,<font color="Maroon" title="c1">X</font>)
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="funct_2.html#T9" title="FUNCT_2:th.9">FUNCT_2:9</a></span>;<br/>
<span class="kw">hence </span><a NAME="E3:141_1_1"/>
(  <a href="monoid_0.html#K15" title="MONOID_0:func.15">GFuncs</a> <font color="Maroon" title="c1">X</font> is  <a href="group_1.html#V1" title="GROUP_1:attr.1">unital</a>  &amp;  not  <a href="monoid_0.html#K15" title="MONOID_0:func.15">GFuncs</a> <font color="Maroon" title="c1">X</font> is  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>  )
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:141_1_1"><span class="lab"><font color="Green" title="E65">A1</font></span></a>, <a class="ref" href="monoid_0.html#T71" target="_self" title="MONOID_0:th.71">Th80</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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