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<div>:: <span class="kw">deftheorem </span>   defines <a href="measure2.html#V2" title="MEASURE2:attr.2">non-increasing</a> <a onclick="hs(this)" href="javascript:()">MEASURE2:def 3 : <br/></a><span> for <font color="Olive" title="b1">X</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b2">S</font> being   <a href="prob_1.html#NM3" title="PROB_1:NM.3">SigmaField</a> of <font color="Olive" title="b1">X</font><br/>  for <font color="Olive" title="b3">IT</font> being    <a href="measure2.html#M1" title="MEASURE2:mode.1">N_Measure_fam</a> of <font color="Olive" title="b2">S</font> holds <br/> ( <font color="Olive" title="b3">IT</font> is  <a href="measure2.html#V2" title="MEASURE2:attr.2">non-increasing</a>  iff  ex <font color="Olive" title="b4">F</font> being   <a href="nat_1.html#NM1" title="NAT_1:NM.1">sequence</a> of <font color="Olive" title="b2">S</font> st <br/>( <font color="Olive" title="b3">IT</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="measure1.html#K4" title="MEASURE1:func.4">rng</a> <font color="Olive" title="b4">F</font> &amp; (  for <font color="Olive" title="b5">n</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="numbers.html#NK1" title="NUMBERS:NK.1">NAT</a>  holds  <font color="Olive" title="b4">F</font> <a href="nat_1.html#K8" title="NAT_1:func.8">.</a> <span class="p1">(<span class="default"><font color="Olive" title="b5">n</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Olive" title="b4">F</font> <a href="nat_1.html#K8" title="NAT_1:func.8">.</a> <font color="Olive" title="b5">n</font> ) ) );<br/></span></div>
