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<div><span class="kw">theorem </span><a NAME="T42"><span class="comment"><font color="firebrick">:: MONOID_0:42</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">x</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>  holds <br/> ( <font color="Olive" title="b1">x</font> is   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <a href="monoid_0.html#K3" title="MONOID_0:func.3">INT.Group</a> iff <font color="Olive" title="b1">x</font> is   <a href="int_1.html#NM1" title="INT_1:NM.1">Integer</a> ) <span class="kw">by</span> <span class="lab"><a class="ref" href="gr_cy_1.html#D3" onmouseover="rs('gr_cy_1/D3')" onmouseout="rh()">GR_CY_1:def 3</a>, <a class="ref" href="int_1.html#D2" onmouseover="rs('int_1/D2')" onmouseout="rh()">INT_1:def 2</a></span>;<br/></div></div>
