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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E4">Th5</font></span>: <a NAME="T5"><span class="comment"><font color="firebrick">:: MONOID_1:5</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">A</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b2">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> <br/>  for <font color="Olive" title="b3">a</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Olive" title="b2">D</font><br/>  for <font color="Olive" title="b4">o</font> being   <a href="binop_1.html#NM2" title="BINOP_1:NM.2">BinOp</a> of <font color="Olive" title="b2">D</font><br/>  for <font color="Olive" title="b5">f</font> being   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of <font color="Olive" title="b1">A</font>,<font color="Olive" title="b2">D</font>  st <font color="Olive" title="b3">a</font> <a href="binop_1.html#R3" title="BINOP_1:pred.3">is_a_unity_wrt</a> <font color="Olive" title="b4">o</font> holds <br/>( <font color="Olive" title="b4">o</font> <a href="monoid_1.html#K6" title="MONOID_1:func.6">[;]</a> (<font color="Olive" title="b3">a</font>,<font color="Olive" title="b5">f</font>) <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a> <font color="Olive" title="b5">f</font> &amp; <font color="Olive" title="b4">o</font> <a href="monoid_1.html#K7" title="MONOID_1:func.7">[:]</a> (<font color="Olive" title="b5">f</font>,<font color="Olive" title="b3">a</font>) <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a> <font color="Olive" title="b5">f</font> )</div></div>
