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<div><span class="kw">theorem </span><a NAME="T61"><span class="comment"><font color="firebrick">:: MONOID_0:61</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">D</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>  holds <br/> (  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <span class="p1">(<span class="default"><font color="Olive" title="b1">D</font> <a href="monoid_0.html#K10" title="MONOID_0:func.10">*+^+&lt;0&gt;</a></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">D</font> <a href="finseq_2.html#K3" title="FINSEQ_2:func.3">*</a>  &amp;  the <a href="algstr_0.html#U2" title="ALGSTR_0:sel.2">multF</a> of <span class="p1">(<span class="default"><font color="Olive" title="b1">D</font> <a href="monoid_0.html#K10" title="MONOID_0:func.10">*+^+&lt;0&gt;</a></span>)</span> <a href="funct_2.html#R1" title="FUNCT_2:pred.1">=</a> <font color="Olive" title="b1">D</font> <a href="monoid_0.html#K11" title="MONOID_0:func.11">-concatenation</a>  &amp;  <a href="struct_0.html#K5" title="STRUCT_0:func.5">1.</a> <span class="p1">(<span class="default"><font color="Olive" title="b1">D</font> <a href="monoid_0.html#K10" title="MONOID_0:func.10">*+^+&lt;0&gt;</a></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  )</div></div>
