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

<span class="kw">let </span><font color="Maroon" title="c1">M</font> be   <a href="net_1.html#NM1" title="NET_1:NM.1">Pnet</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <span class="p1">(<span class="default"><a href="ff_siec.html#K16" title="FF_SIEC:func.16">f_escape</a> <font color="Maroon" title="c1">M</font></span>)</span> <a href="relat_1.html#K5" title="RELAT_1:func.5">*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ff_siec.html#K16" title="FF_SIEC:func.16">f_escape</a> <font color="Maroon" title="c1">M</font></span>)</span> <a href="xboole_0.html#K4" title="XBOOLE_0:func.4">\</a> <span class="p2">(<span class="default"><a href="relat_1.html#K6" title="RELAT_1:func.6">id</a> <span class="p3">(<span class="default"><a href="net_1.html#K2" title="NET_1:func.2">Elements</a> <font color="Maroon" title="c1">M</font></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  &amp; <span class="p1">(<span class="default"><a href="ff_siec.html#K15" title="FF_SIEC:func.15">f_entrance</a> <font color="Maroon" title="c1">M</font></span>)</span> <a href="relat_1.html#K5" title="RELAT_1:func.5">*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ff_siec.html#K15" title="FF_SIEC:func.15">f_entrance</a> <font color="Maroon" title="c1">M</font></span>)</span> <a href="xboole_0.html#K4" title="XBOOLE_0:func.4">\</a> <span class="p2">(<span class="default"><a href="relat_1.html#K6" title="RELAT_1:func.6">id</a> <span class="p3">(<span class="default"><a href="net_1.html#K2" title="NET_1:func.2">Elements</a> <font color="Maroon" title="c1">M</font></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  )</span><br/>

<span class="kw">set </span><font color="Maroon" title="c2">R</font> = <span class="p1">(<span class="default"><a href="net_1.html#K1" title="NET_1:func.1">Flow</a> <font color="Maroon" title="c1">M</font></span>)</span> <a href="relat_1.html#K7" title="RELAT_1:func.7">|</a>  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">M</font>;<br/>
<span class="kw">set </span><font color="Maroon" title="c3">S</font> =  <a href="relat_1.html#K6" title="RELAT_1:func.6">id</a>  the <a href="struct_0.html#U4" title="STRUCT_0:sel.4">carrier'</a> of <font color="Maroon" title="c1">M</font>;<br/>
<a NAME="E1:36"/><span class="lab"><font color="Green" title="E13">A1</font></span>: 
<span class="p1">(<span class="default"><a href="relat_1.html#K6" title="RELAT_1:func.6">id</a>  the <a href="struct_0.html#U4" title="STRUCT_0:sel.4">carrier'</a> of <font color="Maroon" title="c1">M</font></span>)</span> <a href="relat_1.html#K5" title="RELAT_1:func.5">*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="net_1.html#K1" title="NET_1:func.1">Flow</a> <font color="Maroon" title="c1">M</font></span>)</span> <a href="relat_1.html#K7" title="RELAT_1:func.7">|</a>  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">M</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a> 
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="ff_siec.html#T12" target="_self" title="FF_SIEC:th.12">Th17</a></span>;<br/>
<span class="p1">(<span class="default"><a href="ff_siec.html#K16" title="FF_SIEC:func.16">f_escape</a> <font color="Maroon" title="c1">M</font></span>)</span> <a href="relat_1.html#K5" title="RELAT_1:func.5">*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ff_siec.html#K16" title="FF_SIEC:func.16">f_escape</a> <font color="Maroon" title="c1">M</font></span>)</span> <a href="xboole_0.html#K4" title="XBOOLE_0:func.4">\</a> <span class="p2">(<span class="default"><a href="relat_1.html#K6" title="RELAT_1:func.6">id</a> <span class="p3">(<span class="default"><a href="net_1.html#K2" title="NET_1:func.2">Elements</a> <font color="Maroon" title="c1">M</font></span>)</span></span>)</span></span>)</span> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="net_1.html#K1" title="NET_1:func.1">Flow</a> <font color="Maroon" title="c1">M</font></span>)</span> <a href="relat_1.html#K7" title="RELAT_1:func.7">|</a>  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">M</font></span>)</span> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> <span class="p2">(<span class="default"><a href="relat_1.html#K6" title="RELAT_1:func.6">id</a>  the <a href="struct_0.html#U4" title="STRUCT_0:sel.4">carrier'</a> of <font color="Maroon" title="c1">M</font></span>)</span></span>)</span> <a href="relat_1.html#K5" title="RELAT_1:func.5">*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="net_1.html#K1" title="NET_1:func.1">Flow</a> <font color="Maroon" title="c1">M</font></span>)</span> <a href="relat_1.html#K7" title="RELAT_1:func.7">|</a>  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">M</font></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="ff_siec.html#T14" target="_self" title="FF_SIEC:th.14">Th19</a></span>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="net_1.html#K1" title="NET_1:func.1">Flow</a> <font color="Maroon" title="c1">M</font></span>)</span> <a href="relat_1.html#K7" title="RELAT_1:func.7">|</a>  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">M</font></span>)</span> <a href="relat_1.html#K5" title="RELAT_1:func.5">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="net_1.html#K1" title="NET_1:func.1">Flow</a> <font color="Maroon" title="c1">M</font></span>)</span> <a href="relat_1.html#K7" title="RELAT_1:func.7">|</a>  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">M</font></span>)</span></span>)</span> <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="relat_1.html#K6" title="RELAT_1:func.6">id</a>  the <a href="struct_0.html#U4" title="STRUCT_0:sel.4">carrier'</a> of <font color="Maroon" title="c1">M</font></span>)</span> <a href="relat_1.html#K5" title="RELAT_1:func.5">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="net_1.html#K1" title="NET_1:func.1">Flow</a> <font color="Maroon" title="c1">M</font></span>)</span> <a href="relat_1.html#K7" title="RELAT_1:func.7">|</a>  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">M</font></span>)</span></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="sysrel.html#T6" title="SYSREL:th.6">SYSREL:6</a></span>
<br/>.= 
 <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a> 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:36"><span class="lab"><font color="Green" title="E13">A1</font></span></a>, <a class="ref" href="ff_siec.html#T11" target="_self" title="FF_SIEC:th.11">Th16</a></span>
;<br/>
<span class="kw">hence </span><a NAME="E3:36"/>
<span class="p1">(<span class="default"><a href="ff_siec.html#K16" title="FF_SIEC:func.16">f_escape</a> <font color="Maroon" title="c1">M</font></span>)</span> <a href="relat_1.html#K5" title="RELAT_1:func.5">*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ff_siec.html#K16" title="FF_SIEC:func.16">f_escape</a> <font color="Maroon" title="c1">M</font></span>)</span> <a href="xboole_0.html#K4" title="XBOOLE_0:func.4">\</a> <span class="p2">(<span class="default"><a href="relat_1.html#K6" title="RELAT_1:func.6">id</a> <span class="p3">(<span class="default"><a href="net_1.html#K2" title="NET_1:func.2">Elements</a> <font color="Maroon" title="c1">M</font></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a> 
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <span class="p1">(<span class="default"><a href="ff_siec.html#K15" title="FF_SIEC:func.15">f_entrance</a> <font color="Maroon" title="c1">M</font></span>)</span> <a href="relat_1.html#K5" title="RELAT_1:func.5">*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ff_siec.html#K15" title="FF_SIEC:func.15">f_entrance</a> <font color="Maroon" title="c1">M</font></span>)</span> <a href="xboole_0.html#K4" title="XBOOLE_0:func.4">\</a> <span class="p2">(<span class="default"><a href="relat_1.html#K6" title="RELAT_1:func.6">id</a> <span class="p3">(<span class="default"><a href="net_1.html#K2" title="NET_1:func.2">Elements</a> <font color="Maroon" title="c1">M</font></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a> </span><br/>

<span class="kw">set </span><font color="Maroon" title="c4">R</font> = <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="net_1.html#K1" title="NET_1:func.1">Flow</a> <font color="Maroon" title="c1">M</font></span>)</span> <a href="relat_1.html#K4" title="RELAT_1:func.4">~</a></span>)</span> <a href="relat_1.html#K7" title="RELAT_1:func.7">|</a>  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">M</font>;<br/>
<a NAME="E4:36"/><span class="lab"><font color="Green" title="E14">A2</font></span>: 
<span class="p1">(<span class="default"><a href="relat_1.html#K6" title="RELAT_1:func.6">id</a>  the <a href="struct_0.html#U4" title="STRUCT_0:sel.4">carrier'</a> of <font color="Maroon" title="c1">M</font></span>)</span> <a href="relat_1.html#K5" title="RELAT_1:func.5">*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="net_1.html#K1" title="NET_1:func.1">Flow</a> <font color="Maroon" title="c1">M</font></span>)</span> <a href="relat_1.html#K4" title="RELAT_1:func.4">~</a></span>)</span> <a href="relat_1.html#K7" title="RELAT_1:func.7">|</a>  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">M</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a> 
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="ff_siec.html#T12" target="_self" title="FF_SIEC:th.12">Th17</a></span>;<br/>
<span class="p1">(<span class="default"><a href="ff_siec.html#K15" title="FF_SIEC:func.15">f_entrance</a> <font color="Maroon" title="c1">M</font></span>)</span> <a href="relat_1.html#K5" title="RELAT_1:func.5">*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ff_siec.html#K15" title="FF_SIEC:func.15">f_entrance</a> <font color="Maroon" title="c1">M</font></span>)</span> <a href="xboole_0.html#K4" title="XBOOLE_0:func.4">\</a> <span class="p2">(<span class="default"><a href="relat_1.html#K6" title="RELAT_1:func.6">id</a> <span class="p3">(<span class="default"><a href="net_1.html#K2" title="NET_1:func.2">Elements</a> <font color="Maroon" title="c1">M</font></span>)</span></span>)</span></span>)</span> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="net_1.html#K1" title="NET_1:func.1">Flow</a> <font color="Maroon" title="c1">M</font></span>)</span> <a href="relat_1.html#K4" title="RELAT_1:func.4">~</a></span>)</span> <a href="relat_1.html#K7" title="RELAT_1:func.7">|</a>  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">M</font></span>)</span> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> <span class="p2">(<span class="default"><a href="relat_1.html#K6" title="RELAT_1:func.6">id</a>  the <a href="struct_0.html#U4" title="STRUCT_0:sel.4">carrier'</a> of <font color="Maroon" title="c1">M</font></span>)</span></span>)</span> <a href="relat_1.html#K5" title="RELAT_1:func.5">*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="net_1.html#K1" title="NET_1:func.1">Flow</a> <font color="Maroon" title="c1">M</font></span>)</span> <a href="relat_1.html#K4" title="RELAT_1:func.4">~</a></span>)</span> <a href="relat_1.html#K7" title="RELAT_1:func.7">|</a>  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">M</font></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="ff_siec.html#T14" target="_self" title="FF_SIEC:th.14">Th19</a></span>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="net_1.html#K1" title="NET_1:func.1">Flow</a> <font color="Maroon" title="c1">M</font></span>)</span> <a href="relat_1.html#K4" title="RELAT_1:func.4">~</a></span>)</span> <a href="relat_1.html#K7" title="RELAT_1:func.7">|</a>  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">M</font></span>)</span> <a href="relat_1.html#K5" title="RELAT_1:func.5">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="net_1.html#K1" title="NET_1:func.1">Flow</a> <font color="Maroon" title="c1">M</font></span>)</span> <a href="relat_1.html#K4" title="RELAT_1:func.4">~</a></span>)</span> <a href="relat_1.html#K7" title="RELAT_1:func.7">|</a>  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">M</font></span>)</span></span>)</span> <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="relat_1.html#K6" title="RELAT_1:func.6">id</a>  the <a href="struct_0.html#U4" title="STRUCT_0:sel.4">carrier'</a> of <font color="Maroon" title="c1">M</font></span>)</span> <a href="relat_1.html#K5" title="RELAT_1:func.5">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="net_1.html#K1" title="NET_1:func.1">Flow</a> <font color="Maroon" title="c1">M</font></span>)</span> <a href="relat_1.html#K4" title="RELAT_1:func.4">~</a></span>)</span> <a href="relat_1.html#K7" title="RELAT_1:func.7">|</a>  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">M</font></span>)</span></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="sysrel.html#T6" title="SYSREL:th.6">SYSREL:6</a></span>
<br/>.= 
 <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a> 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E4:36"><span class="lab"><font color="Green" title="E14">A2</font></span></a>, <a class="ref" href="ff_siec.html#T11" target="_self" title="FF_SIEC:th.11">Th16</a></span>
;<br/>
<span class="kw">hence </span><a NAME="E6:36"/>
<span class="p1">(<span class="default"><a href="ff_siec.html#K15" title="FF_SIEC:func.15">f_entrance</a> <font color="Maroon" title="c1">M</font></span>)</span> <a href="relat_1.html#K5" title="RELAT_1:func.5">*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ff_siec.html#K15" title="FF_SIEC:func.15">f_entrance</a> <font color="Maroon" title="c1">M</font></span>)</span> <a href="xboole_0.html#K4" title="XBOOLE_0:func.4">\</a> <span class="p2">(<span class="default"><a href="relat_1.html#K6" title="RELAT_1:func.6">id</a> <span class="p3">(<span class="default"><a href="net_1.html#K2" title="NET_1:func.2">Elements</a> <font color="Maroon" title="c1">M</font></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</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>
