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<div><span class="kw">theorem </span><a NAME="T31"><span class="comment"><font color="firebrick">:: POLYDIFF:31</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">L</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="algstr_0.html#V13" title="ALGSTR_0:attr.13">right_complementable</a>   <a href="rlvect_1.html#V3" title="RLVECT_1:attr.3">add-associative</a>   <a href="rlvect_1.html#V4" title="RLVECT_1:attr.4">right_zeroed</a>   <a href="algstr_0.html#L2" title="ALGSTR_0:struct.2">addLoopStr</a> <br/>  for <font color="Olive" title="b3">x</font>, <font color="Olive" title="b4">y</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b2">L</font> holds  <span class="p1">(<span class="default"><a href="polydiff.html#K2" title="POLYDIFF:func.2">seq</a> (<font color="Olive" title="b1">n</font>,<font color="Olive" title="b3">x</font>)</span>)</span> <a href="normsp_1.html#K2" title="NORMSP_1:func.2">-</a> <span class="p1">(<span class="default"><a href="polydiff.html#K2" title="POLYDIFF:func.2">seq</a> (<font color="Olive" title="b1">n</font>,<font color="Olive" title="b4">y</font>)</span>)</span> <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a>  <a href="polydiff.html#K2" title="POLYDIFF:func.2">seq</a> (<font color="Olive" title="b1">n</font>,<span class="p1">(<span class="default"><font color="Olive" title="b3">x</font> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <font color="Olive" title="b4">y</font></span>)</span>)</div></div>
