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

<span class="kw">let </span><font color="Maroon" title="c1">Values</font> be   <a href="peterson.html#NM1" title="PETERSON:NM.1">Values_with_Bool</a>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  for <font color="Olive" title="b1">DS</font> being   <a href="peterson.html#NM8" title="PETERSON:NM.8">DistributedSysWithSharedMem</a> of <font color="Maroon" title="c1">Values</font><br/>  for <font color="Olive" title="b2">e1</font>, <font color="Olive" title="b3">e2</font> being   <a href="peterson.html#NM4" title="PETERSON:NM.4">Event</a> of <font color="Olive" title="b1">DS</font>  holds <br/>( <font color="Olive" title="b2">e1</font> <a href="orders_2.html#R3" title="ORDERS_2:pred.3">&lt;=</a> <font color="Olive" title="b3">e2</font> or <font color="Olive" title="b3">e2</font> <a href="orders_2.html#R3" title="ORDERS_2:pred.3">&lt;=</a> <font color="Olive" title="b2">e1</font> )</span><br/><span class="kw">let </span><font color="Maroon" title="c2">DS</font> be   <a href="peterson.html#NM8" title="PETERSON:NM.8">DistributedSysWithSharedMem</a> of <font color="Maroon" title="c1">Values</font>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  for <font color="Olive" title="b1">e1</font>, <font color="Olive" title="b2">e2</font> being   <a href="peterson.html#NM4" title="PETERSON:NM.4">Event</a> of <font color="Maroon" title="c2">DS</font>  holds <br/>( <font color="Olive" title="b1">e1</font> <a href="orders_2.html#R3" title="ORDERS_2:pred.3">&lt;=</a> <font color="Olive" title="b2">e2</font> or <font color="Olive" title="b2">e2</font> <a href="orders_2.html#R3" title="ORDERS_2:pred.3">&lt;=</a> <font color="Olive" title="b1">e1</font> )</span><br/><span class="kw">let </span><font color="Maroon" title="c3">e1</font>, <font color="Maroon" title="c4">e2</font> be   <a href="peterson.html#NM4" title="PETERSON:NM.4">Event</a> of <font color="Maroon" title="c2">DS</font>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c3">e1</font> <a href="orders_2.html#R3" title="ORDERS_2:pred.3">&lt;=</a> <font color="Maroon" title="c4">e2</font> or <font color="Maroon" title="c4">e2</font> <a href="orders_2.html#R3" title="ORDERS_2:pred.3">&lt;=</a> <font color="Maroon" title="c3">e1</font> )</span><br/>







<a NAME="E1:25"/>
 the <a href="peterson.html#U3" title="PETERSON:sel.3">events</a> of <font color="Maroon" title="c2">DS</font> is  <a href="peterson.html#V3" title="PETERSON:attr.3">strongly_connected</a> 
 
;<br/>
<a NAME="E2:25"/><span class="kw">then </span>
( <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><font color="Maroon" title="c3">e1</font>,<font color="Maroon" title="c4">e2</font></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  the <a href="orders_2.html#U1" title="ORDERS_2:sel.1">InternalRel</a> of  the <a href="peterson.html#U3" title="PETERSON:sel.3">events</a> of <font color="Maroon" title="c2">DS</font> or <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><font color="Maroon" title="c4">e2</font>,<font color="Maroon" title="c3">e1</font></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  the <a href="orders_2.html#U1" title="ORDERS_2:sel.1">InternalRel</a> of  the <a href="peterson.html#U3" title="PETERSON:sel.3">events</a> of <font color="Maroon" title="c2">DS</font> )
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="relat_2.html#D7" onmouseover="rs('relat_2/D7')" onmouseout="rh()">RELAT_2:def 7</a></span>;<br/>
<span class="kw">hence </span><a NAME="E3:25"/>
( <font color="Maroon" title="c3">e1</font> <a href="orders_2.html#R3" title="ORDERS_2:pred.3">&lt;=</a> <font color="Maroon" title="c4">e2</font> or <font color="Maroon" title="c4">e2</font> <a href="orders_2.html#R3" title="ORDERS_2:pred.3">&lt;=</a> <font color="Maroon" title="c3">e1</font> )
 <span class="kw">by</span> <span class="lab"><a class="ref" href="orders_2.html#D5" onmouseover="rs('orders_2/D5')" onmouseout="rh()">ORDERS_2:def 5</a></span>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


</div>
