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<b>let </b><font color="Maroon" title="c1">a</font>, <font color="Maroon" title="c2">b</font> be  <a href="xreal_0.html#V1" title="XREAL_0:attr.1">real</a>  <a href="ordinal1.html#NM1" title="ORDINAL1:NM.1">number</a> ;<br/>



<b>assume </b><a NAME="E1:11"/><i><font color="Green" title="E10">A1</font></i>: 
<font color="Maroon" title="c1">a</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Maroon" title="c2">b</font>
 ;<br/>

<b>let </b><font color="Maroon" title="c3">t1</font>, <font color="Maroon" title="c4">t2</font> be   <a href="pre_topc.html#NM2" title="PRE_TOPC:NM.2">Point</a> of <span class="p1">(<span class="default"><a href="topmetr.html#K4" title="TOPMETR:func.4">Closed-Interval-TSpace</a> <font color="Maroon" title="c1">a</font>,<font color="Maroon" title="c2">b</font></span>)</span>;<br/>

<b>reconsider </b><font color="Maroon" title="c5">r1</font> = <font color="Maroon" title="c3">t1</font>, <font color="Maroon" title="c6">r2</font> = <font color="Maroon" title="c4">t2</font> as   <a href="real_1.html#NM1" title="REAL_1:NM.1">Real</a> <b>by </b><i><a class="txt" href="treal_1.html#E1:11"><i><font color="Green" title="E10">A1</font></i></a>, <a class="txt" href="treal_1.html#E2"><i><font color="Green" title="E2">Lm2</font></i></a></i>;<br/>
<a NAME="E3:11"/>
0 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="treal_1.html#K1" title="TREAL_1:func.1">(#)</a> 0,1
 
<b>by </b><i><a class="ref" href="treal_1.html#D1" target="_self" title="TREAL_1:def.1">Def1</a></i>;<br/>
<b>hence </b><span class="p1">(<span class="default"><a href="treal_1.html#K3" title="TREAL_1:func.3">L[01]</a> <font color="Maroon" title="c3">t1</font>,<font color="Maroon" title="c4">t2</font></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <span class="p1">(<span class="default"><a href="treal_1.html#K1" title="TREAL_1:func.1">(#)</a> 0,1</span>)</span> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default">1 <a href="real_1.html#K5" title="REAL_1:func.5">-</a> 0</span>)</span> <a href="real_1.html#K4" title="REAL_1:func.4">*</a> <font color="Maroon" title="c5">r1</font></span>)</span> <a href="real_1.html#K3" title="REAL_1:func.3">+</a> <span class="p1">(<span class="default">0 <a href="real_1.html#K4" title="REAL_1:func.4">*</a> <font color="Maroon" title="c6">r2</font></span>)</span>
<b>by </b><i><a class="txt" href="treal_1.html#E1:11"><i><font color="Green" title="E10">A1</font></i></a>, <a class="ref" href="treal_1.html#D3" target="_self" title="TREAL_1:def.3">Def3</a></i>
<br/>.= 
<font color="Maroon" title="c3">t1</font>

;<br/><br/>

<a NAME="E5:11"/>
1 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 0,1 <a href="treal_1.html#K2" title="TREAL_1:func.2">(#)</a> 
 
<b>by </b><i><a class="ref" href="treal_1.html#D2" target="_self" title="TREAL_1:def.2">Def2</a></i>;<br/>
<b>hence </b><span class="p1">(<span class="default"><a href="treal_1.html#K3" title="TREAL_1:func.3">L[01]</a> <font color="Maroon" title="c3">t1</font>,<font color="Maroon" title="c4">t2</font></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <span class="p1">(<span class="default">0,1 <a href="treal_1.html#K2" title="TREAL_1:func.2">(#)</a> </span>)</span> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default">1 <a href="real_1.html#K5" title="REAL_1:func.5">-</a> 1</span>)</span> <a href="real_1.html#K4" title="REAL_1:func.4">*</a> <font color="Maroon" title="c5">r1</font></span>)</span> <a href="real_1.html#K3" title="REAL_1:func.3">+</a> <span class="p1">(<span class="default">1 <a href="real_1.html#K4" title="REAL_1:func.4">*</a> <font color="Maroon" title="c6">r2</font></span>)</span>
<b>by </b><i><a class="txt" href="treal_1.html#E1:11"><i><font color="Green" title="E10">A1</font></i></a>, <a class="ref" href="treal_1.html#D3" target="_self" title="TREAL_1:def.3">Def3</a></i>
<br/>.= 
<font color="Maroon" title="c4">t2</font>

;<br/><br/>


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