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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E14">Th9</font></span>: <a NAME="T9"><span class="comment"><font color="firebrick">:: PRVECT_1:9</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">n</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</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">B</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="b4">C</font> being   <a href="binop_1.html#NM1" title="BINOP_1:NM.1">UnOp</a> of <font color="Olive" title="b2">D</font>  st <font color="Olive" title="b3">B</font> is  <a href="setwiseo.html#V1" title="SETWISEO:attr.1">having_a_unity</a>  &amp; <font color="Olive" title="b3">B</font> is  <a href="binop_1.html#V2" title="BINOP_1:attr.2">associative</a>  &amp; <font color="Olive" title="b4">C</font> <a href="finseqop.html#R1" title="FINSEQOP:pred.1">is_an_inverseOp_wrt</a> <font color="Olive" title="b3">B</font> holds <br/> <a href="prvect_1.html#K3" title="PRVECT_1:func.3">product</a> (<font color="Olive" title="b4">C</font>,<font color="Olive" title="b1">n</font>) <a href="finseqop.html#R1" title="FINSEQOP:pred.1">is_an_inverseOp_wrt</a>  <a href="prvect_1.html#K2" title="PRVECT_1:func.2">product</a> (<font color="Olive" title="b3">B</font>,<font color="Olive" title="b1">n</font>)</div></div>
