<?xml version="1.0"?>
<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E47">Def27</font></span>   defines <a href="monoid_0.html#K4" title="MONOID_0:func.4">&lt;NAT,+&gt;</a> <a onclick="hs(this)" href="javascript:()">MONOID_0:def 27 : <br/></a><span> for <font color="Olive">b<sub>1</sub></font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="algstr_0.html#V15" title="ALGSTR_0:attr.15">strict</a>   <a href="group_1.html#V1" title="GROUP_1:attr.1">unital</a>   <a href="monoid_0.html#V17" title="MONOID_0:attr.17">uniquely-decomposable</a>   <a href="monoid_0.html#M5" title="MONOID_0:mode.5">SubStr</a> of  <a href="monoid_0.html#K3" title="MONOID_0:func.3">INT.Group</a>  holds <br/> ( <font color="Olive">b<sub>1</sub></font> <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>  iff  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#NK1" title="NUMBERS:NK.1">NAT</a>  );<br/></span></div>
