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<span class="kw">set </span><font color="Maroon" title="c1">N</font> =  <a href="monoid_0.html#K5" title="MONOID_0:func.5">&lt;NAT,+,0&gt;</a> ;<br/>
<a NAME="E1:102"/>
(  <a href="algstr_0.html#G3" title="ALGSTR_0:aggr.3">multMagma</a>(#  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <a href="monoid_0.html#K5" title="MONOID_0:func.5">&lt;NAT,+,0&gt;</a>, the <a href="algstr_0.html#U2" title="ALGSTR_0:sel.2">multF</a> of <a href="monoid_0.html#K5" title="MONOID_0:func.5">&lt;NAT,+,0&gt;</a> #) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="monoid_0.html#K4" title="MONOID_0:func.4">&lt;NAT,+&gt;</a>  &amp;  <a href="binop_1.html#K3" title="BINOP_1:func.3">the_unity_wrt</a> <font color="Maroon">H<sub>2</sub></font>( <a href="monoid_0.html#K5" title="MONOID_0:func.5">&lt;NAT,+,0&gt;</a> ) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon">H<sub>3</sub></font>( <a href="monoid_0.html#K5" title="MONOID_0:func.5">&lt;NAT,+,0&gt;</a> ) )
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="monoid_0.html#D22" target="_self" onmouseover="rs('monoid_0/D22')" onmouseout="rh()">Def22</a>, <a class="ref" href="monoid_0.html#T17" target="_self" onmouseover="rs('monoid_0/T17')" onmouseout="rh()">Th17</a></span>;<br/>
<span class="kw">hence </span><a NAME="E2:102"/>
 <a href="monoid_0.html#K5" title="MONOID_0:func.5">&lt;NAT,+,0&gt;</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="algstr_0.html#G4" title="ALGSTR_0:aggr.4">multLoopStr</a>(# <a href="numbers.html#NK1" title="NUMBERS:NK.1">NAT</a>,<a href="binop_2.html#K23" title="BINOP_2:func.23">addnat</a>,<a href="numbers.html#K5" title="NUMBERS:func.5">0</a> #)
 <span class="kw">by</span> <span class="lab"><a class="ref" href="monoid_0.html#T40" target="_self" onmouseover="rs('monoid_0/T40')" onmouseout="rh()">Th40</a>, <a class="ref" href="monoid_0.html#T43" target="_self" onmouseover="rs('monoid_0/T43')" onmouseout="rh()">Th43</a></span>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" 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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