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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E11">Th7</font></span>: <a NAME="T7"><span class="comment"><font color="firebrick">:: SEQM_3:7</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">seq</font> being   <a href="seq_1.html#NM1" title="SEQ_1:NM.1">Real_Sequence</a> holds <br/> ( <font color="Olive" title="b1">seq</font> is  <a href="valued_0.html#V8" title="VALUED_0:attr.8">non-increasing</a>  iff  for <font color="Olive" title="b2">n</font>, <font color="Olive" title="b3">k</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a> holds  <font color="Olive" title="b1">seq</font> <a href="nat_1.html#K8" title="NAT_1:func.8">.</a> <span class="p1">(<span class="default"><font color="Olive" title="b2">n</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Olive" title="b3">k</font></span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b1">seq</font> <a href="nat_1.html#K8" title="NAT_1:func.8">.</a> <font color="Olive" title="b2">n</font> ) <span class="kw">by</span> <span class="lab"><a class="txt" href="seqm_3.html#E5"><span class="lab"><font color="Green" title="E5">Lm5</font></span></a></span>;<br/></div></div>
