<?xml version="1.0"?>
<div><span class="kw">theorem </span><a NAME="T74"><span class="comment"><font color="firebrick">:: EXCHSORT:74</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">x</font>, <font color="Olive" title="b2">y</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b3">O</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="waybel_0.html#V16" title="WAYBEL_0:attr.16">connected</a>  <a href="orders_2.html#NM1" title="ORDERS_2:NM.1">Poset</a><br/>  for <font color="Olive" title="b4">R</font> being   <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a>  <a href="exchsort.html#NM3" title="EXCHSORT:NM.3">array</a> of <font color="Olive" title="b3">O</font>  st <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><font color="Olive" title="b1">x</font>,<font color="Olive" title="b2">y</font></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="exchsort.html#K6" title="EXCHSORT:func.6">inversions</a> <font color="Olive" title="b4">R</font> holds <br/> <a href="card_1.html#K4" title="CARD_1:func.4">card</a> <span class="p1">(<span class="default"><a href="exchsort.html#K6" title="EXCHSORT:func.6">inversions</a> <span class="p2">(<span class="default"><a href="funct_7.html#K9" title="FUNCT_7:func.9">Swap</a> (<font color="Olive" title="b4">R</font>,<font color="Olive" title="b1">x</font>,<font color="Olive" title="b2">y</font>)</span>)</span></span>)</span> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a>  <a href="card_1.html#K4" title="CARD_1:func.4">card</a> <span class="p1">(<span class="default"><a href="exchsort.html#K6" title="EXCHSORT:func.6">inversions</a> <font color="Olive" title="b4">R</font></span>)</span></div></div>
