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<div>:: <span class="kw">deftheorem </span>   defines <a href="monoid_0.html#V3" title="MONOID_0:attr.3">left-invertible</a> <a onclick="hs(this)" href="javascript:()">MONOID_0:def 3 : <br/></a><span> 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> <br/>  for <font color="Olive" title="b2">IT</font> being   <a href="binop_1.html#NM2" title="BINOP_1:NM.2">BinOp</a> of <font color="Olive" title="b1">D</font> holds <br/> ( <font color="Olive" title="b2">IT</font> is  <a href="monoid_0.html#V3" title="MONOID_0:attr.3">left-invertible</a>  iff  for <font color="Olive" title="b3">a</font>, <font color="Olive" title="b4">b</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Olive" title="b1">D</font>  ex <font color="Olive" title="b5">l</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Olive" title="b1">D</font> st <font color="Olive" title="b2">IT</font> <a href="binop_1.html#K4" title="BINOP_1:func.4">.</a> (<font color="Olive" title="b5">l</font>,<font color="Olive" title="b3">a</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b4">b</font> );<br/></span></div>
