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<b>let </b><font color="Maroon">f</font> be   <a href="struct_0.html#NM6">Function</a> of <span class="p1">(<span class="default"><a href="euclid.html#K15">TOP-REAL</a> 2</span>)</span>,<a href="topmetr.html#K3">R^1</a> ;<br/>

<b>assume </b><a NAME="E1:10"/><i><font color="Green">E49</font></i>: 
<font color="Maroon">f</font> <a href="hidden.html#R1">=</a>  <a href="pscomp_1.html#K13">proj1</a> 
 ;<br/>

<a NAME="E2:10"/><i><font color="Green">E50</font></i>: 
1 <a href="hidden.html#R2">in</a>  <a href="finseq_1.html#K2">Seg</a> 2
 
<b>by </b><i><a class="ref" href="finseq_1.html#T3">FINSEQ_1:3</a></i>;<br/>
<a NAME="E3:10"/>
for <font color="Olive">p</font> being  <a href="struct_0.html#NM1">Element</a> of <span class="p1">(<span class="default"><a href="euclid.html#K15">TOP-REAL</a> 2</span>)</span> holds  <font color="Maroon">f</font> <a href="funct_1.html#K1">.</a> <font color="Olive">p</font> <a href="hidden.html#R1">=</a>  <a href="jordan2b.html#K1">Proj</a> <font color="Olive">p</font>,1
 
<b>by </b><i>, <a class="ref" href="jordan2b.html#T36">JORDAN2B:36</a></i>;<br/>
<b>hence </b><a NAME="E4:10"/>
<font color="Maroon">f</font> is <a href="pre_topc.html#V5">continuous</a>
 <b>by </b><i>, <a class="ref" href="jordan2b.html#T22">JORDAN2B:22</a></i>;<br/>


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