<?xml version="1.0"?>
<div class="add">

<span class="kw">consider </span><font color="Maroon" title="c5">fs1</font> being    <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> <span class="kw"> such that </span><br/><a NAME="E2:115_1_1"/><span class="lab"><font color="Green" title="E75">A1</font></span>: 
<font color="Maroon" title="c5">fs1</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c3">R1</font>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="xboole_0.html#D1" title="XBOOLE_0:def.1">XBOOLE_0:def 1</a></span>;<br/>
<span class="kw">consider </span><font color="Maroon" title="c6">fs2</font> being    <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> <span class="kw"> such that </span><br/><a NAME="E4:115_1_1"/><span class="lab"><font color="Green" title="E76">A2</font></span>: 
<font color="Maroon" title="c6">fs2</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c4">R2</font>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="xboole_0.html#D1" title="XBOOLE_0:def.1">XBOOLE_0:def 1</a></span>;<br/>
<span class="kw">reconsider </span><font color="Maroon" title="c7">fs1</font> = <font color="Maroon" title="c5">fs1</font>, <font color="Maroon" title="c8">fs2</font> = <font color="Maroon" title="c6">fs2</font> as   <a href="pnproc_1.html#NM5" title="PNPROC_1:NM.5">firing-sequence</a> of <font color="Maroon" title="c2">N</font> <span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:115_1_1"><span class="lab"><font color="Green" title="E75">A1</font></span></a>, <a class="txt" href="#E4:115_1_1"><span class="lab"><font color="Green" title="E76">A2</font></span></a></span>;<br/>
<span class="kw">reconsider </span><font color="Maroon" title="c9">C</font> = <font color="Maroon" title="c7">fs1</font> <a href="pre_poly.html#K1" title="PRE_POLY:func.1">^</a> <font color="Maroon" title="c8">fs2</font> as   <a href="pnproc_1.html#NM5" title="PNPROC_1:NM.5">firing-sequence</a> of <font color="Maroon" title="c2">N</font> ;<br/>
<a NAME="E7:115_1_1"/><span class="lab"><font color="Green" title="E77">A3</font></span>: 
<font color="Maroon" title="c9">C</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c7">fs1</font> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c7">fs1</font></span>)</span> <a href="pnproc_1.html#K12" title="PNPROC_1:func.12">Shift</a> <font color="Maroon" title="c8">fs2</font></span>)</span>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="pnproc_1.html#T61" target="_self" title="PNPROC_1:th.61">Th64</a></span>;<br/>
<a NAME="E8:115_1_1"/><span class="lab"><font color="Green" title="E78">A4</font></span>: 
<font color="Maroon" title="c7">fs1</font> <a href="xboole_0.html#R1" title="XBOOLE_0:pred.1">misses</a> <span class="p1">(<span class="default"><a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c7">fs1</font></span>)</span> <a href="pnproc_1.html#K12" title="PNPROC_1:func.12">Shift</a> <font color="Maroon" title="c8">fs2</font>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="pnproc_1.html#T62" target="_self" title="PNPROC_1:th.62">Th65</a></span>;<br/>
<a NAME="E9:115_1_1"/><span class="lab"><font color="Green" title="E79">A5</font></span>: 
<font color="Maroon" title="c7">fs1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="finseq_1.html#K15" title="FINSEQ_1:func.15">Seq</a> <font color="Maroon" title="c7">fs1</font>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="finseq_3.html#T116" title="FINSEQ_3:th.116">FINSEQ_3:116</a></span>;<br/>
<a NAME="E10:115_1_1"/>
 <a href="finseq_1.html#K15" title="FINSEQ_1:func.15">Seq</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c7">fs1</font></span>)</span> <a href="pnproc_1.html#K12" title="PNPROC_1:func.12">Shift</a> <font color="Maroon" title="c8">fs2</font></span>)</span> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c4">R2</font>
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E4:115_1_1"><span class="lab"><font color="Green" title="E76">A2</font></span></a>, <a class="ref" href="pnproc_1.html#T58" target="_self" title="PNPROC_1:th.58">Th61</a></span>;<br/>
<a NAME="E11:115_1_1"/><span class="kw">then </span>
<font color="Maroon" title="c9">C</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c3">R1</font> <a href="pnproc_1.html#K11" title="PNPROC_1:func.11">concur</a> <font color="Maroon" title="c4">R2</font>
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:115_1_1"><span class="lab"><font color="Green" title="E75">A1</font></span></a>, <a class="txt" href="#E7:115_1_1"><span class="lab"><font color="Green" title="E77">A3</font></span></a>, <a class="txt" href="#E8:115_1_1"><span class="lab"><font color="Green" title="E78">A4</font></span></a>, <a class="txt" href="#E9:115_1_1"><span class="lab"><font color="Green" title="E79">A5</font></span></a></span>;<br/>
<span class="kw">hence </span><a NAME="E12:115_1_1"/>
 not <font color="Maroon" title="c3">R1</font> <a href="pnproc_1.html#K11" title="PNPROC_1:func.11">concur</a> <font color="Maroon" title="c4">R2</font> is  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a> 
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


</div>
