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<b>set </b><font color="Maroon">c<sub>2</sub></font> =  <a href="metric_1.html#K6">DiscreteSpace</a> <font color="Maroon">c<sub>1</sub></font>;<br/>
<b>take </b>
2
; <i><font color="Red">:: according to </font></i><a class="ref" href="tbsp_1.html#D8" target="_self">TBSP_1:def 8</a><br/>

<b>thus </b><a NAME="E1:18_1_1"/>
0 <a href="xxreal_0.html#NR3" target="_self">&lt;</a> 2
 ;<br/>

<a NAME="E2:18_1_1"/><i><font color="Green">E13</font></i>: 
 <a href="metric_1.html#K6">DiscreteSpace</a> <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a>  <a href="metric_1.html#G1">MetrStruct</a>(# <font color="Maroon">c<sub>1</sub></font>,<span class="p1">(<span class="default"><a href="metric_1.html#K5">discrete_dist</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> #)
 
<b>by </b><i><a class="ref" href="metric_1.html#D12">METRIC_1:def 12</a></i>;<br/>
<b>let </b><font color="Maroon">c<sub>3</sub></font>, <font color="Maroon">c<sub>4</sub></font> be   <a href="pre_topc.html#NM2">Point</a> of <span class="p1">(<span class="default"><a href="metric_1.html#K6">DiscreteSpace</a> <font color="Maroon">c<sub>1</sub></font></span>)</span>;<br/>

<a NAME="E3:18_1_1"/><i><font color="Green">E14</font></i>: 
( <font color="Maroon">c<sub>3</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>4</sub></font> or <font color="Maroon">c<sub>3</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">c<sub>4</sub></font> )
 
;<br/>
<a NAME="E4:18_1_1"/>
 <a href="metric_1.html#K4">dist</a> <font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#R1">=</a> the <a href="metric_1.html#U1">distance</a> of <span class="p1">(<span class="default"><a href="metric_1.html#K6">DiscreteSpace</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="metric_1.html#K1">.</a> <font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>4</sub></font>
 
<b>by </b><i><a class="ref" href="metric_1.html#D1">METRIC_1:def 1</a></i>;<br/>
<a NAME="E5:18_1_1"/><b>then </b>
(  <a href="metric_1.html#K4">dist</a> <font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#R1">=</a> 0 or  <a href="metric_1.html#K4">dist</a> <font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#R1">=</a> 1 )
 
<b>by </b><i><a class="txt" href="tbsp_1.html#E2:18_1_1"><i><font color="Green">E13</font></i></a>, <a class="txt" href="tbsp_1.html#E3:18_1_1"><i><font color="Green">E14</font></i></a>, <a class="ref" href="metric_1.html#D11">METRIC_1:def 11</a></i>;<br/>
<b>hence </b><a NAME="E6:18_1_1"/>
 <a href="metric_1.html#K4">dist</a> <font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>4</sub></font> <a href="xxreal_0.html#R1">&lt;=</a> 2
 ;<br/>


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