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<div>:: <span class="kw">deftheorem </span>   defines <a href="seqm_3.html#V1" title="SEQM_3:attr.1">monotone</a> <a onclick="hs(this)" href="javascript:()">SEQM_3:def 5 : <br/></a><span> 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="seqm_3.html#V1" title="SEQM_3:attr.1">monotone</a>  iff ( <font color="Olive" title="b1">seq</font> is  <a href="valued_0.html#V7" title="VALUED_0:attr.7">non-decreasing</a>  or <font color="Olive" title="b1">seq</font> is  <a href="valued_0.html#V8" title="VALUED_0:attr.8">non-increasing</a>  ) );<br/></span></div>
