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

<b>let </b><font color="Maroon">D</font> be  non <a href="xboole_0.html#V1">empty</a>  <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">d0</font> be    <a href="subset_1.html#M1">Element</a> of <font color="Maroon">D</font>;<br/>



<b>set </b><font color="Maroon">G</font> = <span class="p1">{<span class="default"> <font color="Olive">P</font> where <font color="Olive">P</font> is   <a href="subset_1.html#NM2">Subset</a> of <font color="Maroon">D</font> : ( <font color="Maroon">d0</font> <a href="hidden.html#R2">in</a> <font color="Olive">P</font> &amp; <font color="Olive">P</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">D</font> ) </span>}</span> ;<br/>
<b>set </b><font color="Maroon">T</font> = <span class="p1">(<span class="default"><a href="pcomps_1.html#K1">bool</a> <font color="Maroon">D</font></span>)</span> <a href="subset_1.html#K7">\</a> <span class="p1">{<span class="default"> <font color="Olive">P</font> where <font color="Olive">P</font> is   <a href="subset_1.html#NM2">Subset</a> of <font color="Maroon">D</font> : ( <font color="Maroon">d0</font> <a href="hidden.html#R2">in</a> <font color="Olive">P</font> &amp; <font color="Olive">P</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">D</font> ) </span>}</span> ;<br/>
<a NAME="E1:50"/>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="pcomps_1.html#K1">bool</a> <font color="Maroon">D</font></span>)</span> <a href="subset_1.html#K7">\</a> <span class="p2">{<span class="default"> <font color="Olive">P</font> where <font color="Olive">P</font> is   <a href="subset_1.html#NM2">Subset</a> of <font color="Maroon">D</font> : ( <font color="Maroon">d0</font> <a href="hidden.html#R2">in</a> <font color="Olive">P</font> &amp; <font color="Olive">P</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">D</font> ) </span>}</span> </span>)</span> <a href="xboole_0.html#K2">\/</a> <span class="p1">{<span class="default"> <font color="Olive">P</font> where <font color="Olive">P</font> is   <a href="subset_1.html#NM2">Subset</a> of <font color="Maroon">D</font> : ( <font color="Maroon">d0</font> <a href="hidden.html#R2">in</a> <font color="Olive">P</font> &amp; <font color="Olive">P</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">D</font> ) </span>}</span>  <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="pcomps_1.html#K1">bool</a> <font color="Maroon">D</font></span>)</span> <a href="xboole_0.html#K2">\/</a> <span class="p1">{<span class="default"> <font color="Olive">P</font> where <font color="Olive">P</font> is   <a href="subset_1.html#NM2">Subset</a> of <font color="Maroon">D</font> : ( <font color="Maroon">d0</font> <a href="hidden.html#R2">in</a> <font color="Olive">P</font> &amp; <font color="Olive">P</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">D</font> ) </span>}</span> 
 
<b>by </b><i><a class="ref" href="xboole_1.html#T39">XBOOLE_1:39</a></i>;<br/>
<a NAME="E2:50"/><b>then </b><i><font color="Green">E16</font></i>: 
 <a href="pcomps_1.html#K1">bool</a> <font color="Maroon">D</font> <a href="tarski.html#R1">c=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="pcomps_1.html#K1">bool</a> <font color="Maroon">D</font></span>)</span> <a href="subset_1.html#K7">\</a> <span class="p2">{<span class="default"> <font color="Olive">P</font> where <font color="Olive">P</font> is   <a href="subset_1.html#NM2">Subset</a> of <font color="Maroon">D</font> : ( <font color="Maroon">d0</font> <a href="hidden.html#R2">in</a> <font color="Olive">P</font> &amp; <font color="Olive">P</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">D</font> ) </span>}</span> </span>)</span> <a href="xboole_0.html#K2">\/</a> <span class="p1">{<span class="default"> <font color="Olive">P</font> where <font color="Olive">P</font> is   <a href="subset_1.html#NM2">Subset</a> of <font color="Maroon">D</font> : ( <font color="Maroon">d0</font> <a href="hidden.html#R2">in</a> <font color="Olive">P</font> &amp; <font color="Olive">P</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">D</font> ) </span>}</span> 
 
<b>by </b><i><a class="ref" href="xboole_1.html#T7">XBOOLE_1:7</a></i>;<br/>
<b>let </b><font color="Maroon">A</font> be   <a href="struct_0.html#NM2">Subset</a> of <span class="p1">(<span class="default"><a href="tex_1.html#K3" target="_self">STS</a> <font color="Maroon">D</font>,<font color="Maroon">d0</font></span>)</span>;<br/>

<b>assume </b><a NAME="E3:50"/><i><font color="Green">E17</font></i>: 
<font color="Maroon">A</font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="domain_1.html#K6">{</a><span class="default"><font color="Maroon">d0</font></span><a href="domain_1.html#K6">}</a></span>
 ;<br/>

<a NAME="E4:50"/><i><font color="Green">E23</font></i>: 
<span class="p1">{<span class="default"> <font color="Olive">P</font> where <font color="Olive">P</font> is   <a href="subset_1.html#NM2">Subset</a> of <font color="Maroon">D</font> : ( <font color="Maroon">d0</font> <a href="hidden.html#R2">in</a> <font color="Olive">P</font> &amp; <font color="Olive">P</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">D</font> ) </span>}</span>  <a href="tarski.html#R1">c=</a> <font color="Maroon">A</font> <a href="tmap_1.html#K5">-extension_of_the_topology_of</a> <span class="p1">(<span class="default"><a href="tex_1.html#K3" target="_self">STS</a> <font color="Maroon">D</font>,<font color="Maroon">d0</font></span>)</span>
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="50_1"><b>proof </b></a><div class="add">

<a NAME="E1:50_1"/><i><font color="Green">E24</font></i>: 
<font color="Maroon">A</font> <a href="tmap_1.html#K5">-extension_of_the_topology_of</a> <span class="p1">(<span class="default"><a href="tex_1.html#K3" target="_self">STS</a> <font color="Maroon">D</font>,<font color="Maroon">d0</font></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">{<span class="default"> <span class="p2">(<span class="default"><font color="Olive">H</font> <a href="subset_1.html#K4">\/</a> <span class="p3">(<span class="default"><font color="Olive">F</font> <a href="subset_1.html#K9">/\</a> <font color="Maroon">A</font></span>)</span></span>)</span> where <font color="Olive">H</font> is   <a href="struct_0.html#NM2">Subset</a> of <span class="p1">(<span class="default"><a href="tex_1.html#K3" target="_self">STS</a> <font color="Maroon">D</font>,<font color="Maroon">d0</font></span>)</span>, <font color="Olive">F</font> is   <a href="struct_0.html#NM2">Subset</a> of <span class="p1">(<span class="default"><a href="tex_1.html#K3" target="_self">STS</a> <font color="Maroon">D</font>,<font color="Maroon">d0</font></span>)</span> : ( <font color="Olive">H</font> <a href="hidden.html#R2">in</a> <span class="p1">(<span class="default"><a href="pcomps_1.html#K1">bool</a> <font color="Maroon">D</font></span>)</span> <a href="subset_1.html#K7">\</a> <span class="p1">{<span class="default"> <font color="Olive">P</font> where <font color="Olive">P</font> is   <a href="subset_1.html#NM2">Subset</a> of <font color="Maroon">D</font> : ( <font color="Maroon">d0</font> <a href="hidden.html#R2">in</a> <font color="Olive">P</font> &amp; <font color="Olive">P</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">D</font> ) </span>}</span>  &amp; <font color="Olive">F</font> <a href="hidden.html#R2">in</a> <span class="p1">(<span class="default"><a href="pcomps_1.html#K1">bool</a> <font color="Maroon">D</font></span>)</span> <a href="subset_1.html#K7">\</a> <span class="p1">{<span class="default"> <font color="Olive">P</font> where <font color="Olive">P</font> is   <a href="subset_1.html#NM2">Subset</a> of <font color="Maroon">D</font> : ( <font color="Maroon">d0</font> <a href="hidden.html#R2">in</a> <font color="Olive">P</font> &amp; <font color="Olive">P</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">D</font> ) </span>}</span>  ) </span>}</span> 
 
<b>by </b><i><a class="ref" href="tmap_1.html#D7">TMAP_1:def 7</a></i>;<br/>
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="50_1_1"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">W</font> be    <a href="hidden.html#M1">set</a> ;<br/><b>assume </b><a NAME="E1:50_1_1"/>
<font color="Maroon">W</font> <a href="hidden.html#R2">in</a> <span class="p1">{<span class="default"> <font color="Olive">P</font> where <font color="Olive">P</font> is   <a href="subset_1.html#NM2">Subset</a> of <font color="Maroon">D</font> : ( <font color="Maroon">d0</font> <a href="hidden.html#R2">in</a> <font color="Olive">P</font> &amp; <font color="Olive">P</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">D</font> ) </span>}</span> 
 ;<br/><b>then consider </b><font color="Maroon">P</font> being   <a href="subset_1.html#NM2">Subset</a> of <font color="Maroon">D</font><b> such that </b><br/><a NAME="E3:50_1_1"/><i><font color="Green">E25</font></i>: 
<font color="Maroon">W</font> <a href="hidden.html#R1">=</a> <font color="Maroon">P</font>
 <b>and </b><br/><a NAME="E4:50_1_1"/><i><font color="Green">E26</font></i>: 
<font color="Maroon">d0</font> <a href="hidden.html#R2">in</a> <font color="Maroon">P</font>
 <b>and </b><br/><a NAME="E5:50_1_1"/>
<font color="Maroon">P</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">D</font>
 ;<br/><b>reconsider </b><font color="Maroon">F</font> = <font color="Maroon">D</font> as   <a href="subset_1.html#NM2">Subset</a> of <font color="Maroon">D</font> <b>by </b><i/>;<br/><b>set </b><font color="Maroon">H</font> = <font color="Maroon">P</font> <a href="subset_1.html#K7">\</a> <span class="p1"><a href="domain_1.html#K6">{</a><span class="default"><font color="Maroon">d0</font></span><a href="domain_1.html#K6">}</a></span>;<br/><b>reconsider </b><font color="Maroon">H</font> = <font color="Maroon">P</font> <a href="subset_1.html#K7">\</a> <span class="p1"><a href="domain_1.html#K6">{</a><span class="default"><font color="Maroon">d0</font></span><a href="domain_1.html#K6">}</a></span> as   <a href="subset_1.html#NM2">Subset</a> of <font color="Maroon">D</font> ;<br/><a NAME="E8:50_1_1"/>
for <font color="Olive">K</font> being  <a href="subset_1.html#NM2">Subset</a> of <font color="Maroon">D</font>  holds <br/>(  not <font color="Olive">K</font> <a href="hidden.html#R1">=</a> <font color="Maroon">F</font> or  not <font color="Maroon">d0</font> <a href="hidden.html#R2">in</a> <font color="Olive">K</font> or  not <font color="Olive">K</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">D</font> )
 ;<br/><a NAME="E9:50_1_1"/><b>then </b>
not <font color="Maroon">F</font> <a href="hidden.html#R2">in</a> <span class="p1">{<span class="default"> <font color="Olive">P</font> where <font color="Olive">P</font> is   <a href="subset_1.html#NM2">Subset</a> of <font color="Maroon">D</font> : ( <font color="Maroon">d0</font> <a href="hidden.html#R2">in</a> <font color="Olive">P</font> &amp; <font color="Olive">P</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">D</font> ) </span>}</span> 
 ;<br/><a NAME="E10:50_1_1"/><b>then </b><i><font color="Green">E27</font></i>: 
<font color="Maroon">F</font> <a href="hidden.html#R2">in</a> <span class="p1">(<span class="default"><a href="pcomps_1.html#K1">bool</a> <font color="Maroon">D</font></span>)</span> <a href="subset_1.html#K7">\</a> <span class="p1">{<span class="default"> <font color="Olive">P</font> where <font color="Olive">P</font> is   <a href="subset_1.html#NM2">Subset</a> of <font color="Maroon">D</font> : ( <font color="Maroon">d0</font> <a href="hidden.html#R2">in</a> <font color="Olive">P</font> &amp; <font color="Olive">P</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">D</font> ) </span>}</span> 
 <b>by </b><i><a class="ref" href="xboole_0.html#D4">XBOOLE_0:def 4</a></i>;<br/><a NAME="E11:50_1_1"/>
<font color="Maroon">d0</font> <a href="hidden.html#R2">in</a> <span class="p1"><a href="domain_1.html#K6">{</a><span class="default"><font color="Maroon">d0</font></span><a href="domain_1.html#K6">}</a></span>
 <b>by </b><i><a class="ref" href="tarski.html#D1">TARSKI:def 1</a></i>;<br/><a NAME="E12:50_1_1"/><b>then </b>
for <font color="Olive">K</font> being  <a href="subset_1.html#NM2">Subset</a> of <font color="Maroon">D</font>  holds <br/>(  not <font color="Olive">K</font> <a href="hidden.html#R1">=</a> <font color="Maroon">H</font> or  not <font color="Maroon">d0</font> <a href="hidden.html#R2">in</a> <font color="Olive">K</font> or  not <font color="Olive">K</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">D</font> )
 <b>by </b><i><a class="ref" href="xboole_0.html#D4">XBOOLE_0:def 4</a></i>;<br/><a NAME="E13:50_1_1"/><b>then </b>
not <font color="Maroon">H</font> <a href="hidden.html#R2">in</a> <span class="p1">{<span class="default"> <font color="Olive">P</font> where <font color="Olive">P</font> is   <a href="subset_1.html#NM2">Subset</a> of <font color="Maroon">D</font> : ( <font color="Maroon">d0</font> <a href="hidden.html#R2">in</a> <font color="Olive">P</font> &amp; <font color="Olive">P</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">D</font> ) </span>}</span> 
 ;<br/><a NAME="E14:50_1_1"/><b>then </b><i><font color="Green">E51</font></i>: 
<font color="Maroon">H</font> <a href="hidden.html#R2">in</a> <span class="p1">(<span class="default"><a href="pcomps_1.html#K1">bool</a> <font color="Maroon">D</font></span>)</span> <a href="subset_1.html#K7">\</a> <span class="p1">{<span class="default"> <font color="Olive">P</font> where <font color="Olive">P</font> is   <a href="subset_1.html#NM2">Subset</a> of <font color="Maroon">D</font> : ( <font color="Maroon">d0</font> <a href="hidden.html#R2">in</a> <font color="Olive">P</font> &amp; <font color="Olive">P</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">D</font> ) </span>}</span> 
 <b>by </b><i><a class="ref" href="xboole_0.html#D4">XBOOLE_0:def 4</a></i>;<br/><a NAME="E15:50_1_1"/>
( <font color="Maroon">A</font> <a href="tarski.html#R1">c=</a> <font color="Maroon">P</font> &amp; <font color="Maroon">A</font> <a href="tarski.html#R1">c=</a> <font color="Maroon">D</font> )
 <b>by </b><i><a class="txt" href="tex_1.html#E4:50"><i><font color="Green">E23</font></i></a>, <a class="txt" href="tex_1.html#E10:50_1_1"><i><font color="Green">E27</font></i></a>, <a class="ref" href="zfmisc_1.html#T37">ZFMISC_1:37</a></i>;<br/><a NAME="E16:50_1_1"/><b>then </b>
( <font color="Maroon">W</font> <a href="hidden.html#R1">=</a> <font color="Maroon">H</font> <a href="xboole_0.html#K2">\/</a> <font color="Maroon">A</font> &amp; <font color="Maroon">A</font> <a href="hidden.html#R1">=</a> <font color="Maroon">F</font> <a href="subset_1.html#K9">/\</a> <font color="Maroon">A</font> )
 <b>by </b><i><a class="txt" href="tex_1.html#E4:50"><i><font color="Green">E23</font></i></a>, <a class="txt" href="tex_1.html#E4:50_1_1"><i><font color="Green">E26</font></i></a>, <a class="ref" href="xboole_1.html#T28">XBOOLE_1:28</a>, <a class="ref" href="xboole_1.html#T45">XBOOLE_1:45</a></i>;<br/><b>hence </b><a NAME="E17:50_1_1"/>
<font color="Maroon">W</font> <a href="hidden.html#R2">in</a> <font color="Maroon">A</font> <a href="tmap_1.html#K5">-extension_of_the_topology_of</a> <span class="p1">(<span class="default"><a href="tex_1.html#K3" target="_self">STS</a> <font color="Maroon">D</font>,<font color="Maroon">d0</font></span>)</span>
 <b>by </b><i><a class="txt" href="tex_1.html#E3:50_1_1"><i><font color="Green">E25</font></i></a>, <a class="ref" href="tex_1.html#T5" target="_self">Th5</a>, </i>;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E3:50_1"/>
<span class="p1">{<span class="default"> <font color="Olive">P</font> where <font color="Olive">P</font> is   <a href="subset_1.html#NM2">Subset</a> of <font color="Maroon">D</font> : ( <font color="Maroon">d0</font> <a href="hidden.html#R2">in</a> <font color="Olive">P</font> &amp; <font color="Olive">P</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">D</font> ) </span>}</span>  <a href="tarski.html#R1">c=</a> <font color="Maroon">A</font> <a href="tmap_1.html#K5">-extension_of_the_topology_of</a> <span class="p1">(<span class="default"><a href="tex_1.html#K3" target="_self">STS</a> <font color="Maroon">D</font>,<font color="Maroon">d0</font></span>)</span>
 <b>by </b><i><a class="ref" href="tarski.html#D3">TARSKI:def 3</a></i>;<br/>


</div><b>end;</b></div>
<a NAME="E5:50"/>
<span class="p1">(<span class="default"><a href="pcomps_1.html#K1">bool</a> <font color="Maroon">D</font></span>)</span> <a href="subset_1.html#K7">\</a> <span class="p1">{<span class="default"> <font color="Olive">P</font> where <font color="Olive">P</font> is   <a href="subset_1.html#NM2">Subset</a> of <font color="Maroon">D</font> : ( <font color="Maroon">d0</font> <a href="hidden.html#R2">in</a> <font color="Olive">P</font> &amp; <font color="Olive">P</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">D</font> ) </span>}</span>  <a href="tarski.html#R1">c=</a> <font color="Maroon">A</font> <a href="tmap_1.html#K5">-extension_of_the_topology_of</a> <span class="p1">(<span class="default"><a href="tex_1.html#K3" target="_self">STS</a> <font color="Maroon">D</font>,<font color="Maroon">d0</font></span>)</span>
 
<b>by </b><i><a class="ref" href="tmap_1.html#T99">TMAP_1:99</a></i>;<br/>
<a NAME="E6:50"/><b>then </b>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="pcomps_1.html#K1">bool</a> <font color="Maroon">D</font></span>)</span> <a href="subset_1.html#K7">\</a> <span class="p2">{<span class="default"> <font color="Olive">P</font> where <font color="Olive">P</font> is   <a href="subset_1.html#NM2">Subset</a> of <font color="Maroon">D</font> : ( <font color="Maroon">d0</font> <a href="hidden.html#R2">in</a> <font color="Olive">P</font> &amp; <font color="Olive">P</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">D</font> ) </span>}</span> </span>)</span> <a href="xboole_0.html#K2">\/</a> <span class="p1">{<span class="default"> <font color="Olive">P</font> where <font color="Olive">P</font> is   <a href="subset_1.html#NM2">Subset</a> of <font color="Maroon">D</font> : ( <font color="Maroon">d0</font> <a href="hidden.html#R2">in</a> <font color="Olive">P</font> &amp; <font color="Olive">P</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">D</font> ) </span>}</span>  <a href="tarski.html#R1">c=</a> <font color="Maroon">A</font> <a href="tmap_1.html#K5">-extension_of_the_topology_of</a> <span class="p1">(<span class="default"><a href="tex_1.html#K3" target="_self">STS</a> <font color="Maroon">D</font>,<font color="Maroon">d0</font></span>)</span>
 
<b>by </b><i>, <a class="ref" href="xboole_1.html#T8">XBOOLE_1:8</a></i>;<br/>
<a NAME="E7:50"/><b>then </b><i><font color="Green">E52</font></i>: 
 <a href="pcomps_1.html#K1">bool</a> <font color="Maroon">D</font> <a href="tarski.html#R1">c=</a> <font color="Maroon">A</font> <a href="tmap_1.html#K5">-extension_of_the_topology_of</a> <span class="p1">(<span class="default"><a href="tex_1.html#K3" target="_self">STS</a> <font color="Maroon">D</font>,<font color="Maroon">d0</font></span>)</span>
 
<b>by </b><i>, <a class="ref" href="xboole_1.html#T1">XBOOLE_1:1</a></i>;<br/>
the <a href="pre_topc.html#U1">topology</a> of <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="tex_1.html#K3" target="_self">STS</a> <font color="Maroon">D</font>,<font color="Maroon">d0</font></span>)</span> <a href="tmap_1.html#K6">modified_with_respect_to</a> <font color="Maroon">A</font></span>)</span> = 
<font color="Maroon">A</font> <a href="tmap_1.html#K5">-extension_of_the_topology_of</a> <span class="p1">(<span class="default"><a href="tex_1.html#K3" target="_self">STS</a> <font color="Maroon">D</font>,<font color="Maroon">d0</font></span>)</span>
<b>by </b><i><a class="ref" href="tmap_1.html#T104">TMAP_1:104</a></i>
<br/>.= 
the <a href="pre_topc.html#U1">topology</a> of <span class="p1">(<span class="default"><a href="compts_1.html#K1">1TopSp</a> <font color="Maroon">D</font></span>)</span>
<b>by </b><i>, <a class="ref" href="xboole_0.html#D10">XBOOLE_0:def 10</a></i>
;<br/>
<b>hence </b><a NAME="E9:50"/>
 <a href="compts_1.html#K1">1TopSp</a> <font color="Maroon">D</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="tex_1.html#K3" target="_self">STS</a> <font color="Maroon">D</font>,<font color="Maroon">d0</font></span>)</span> <a href="tmap_1.html#K6">modified_with_respect_to</a> <font color="Maroon">A</font>
 <b>by </b><i><a class="ref" href="tmap_1.html#T104">TMAP_1:104</a></i>;<br/>


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