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<b>let </b><font color="Maroon" title="c2">a</font>, <font color="Maroon" title="c3">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="E1:41"/><i><font color="Green" title="E27">A1</font></i>: 
<font color="Maroon" title="c2">a</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Maroon" title="c3">b</font>
 ;<br/>

<b>let </b><font color="Maroon" title="c4">x</font>, <font color="Maroon" title="c5">y</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="c2">a</font>,<font color="Maroon" title="c3">b</font></span>)</span>;<br/><b>let </b><font color="Maroon" title="c6">P</font>, <font color="Maroon" title="c7">Q</font> be    <a href="borsuk_2.html#M1" title="BORSUK_2:mode.1">Path</a> of <font color="Maroon" title="c4">x</font>,<font color="Maroon" title="c5">y</font>;<br/>



<a NAME="E2:41"/>
 <a href="topmetr.html#K4" title="TOPMETR:func.4">Closed-Interval-TSpace</a> <font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font> is <a href="topalg_2.html#V3" title="TOPALG_2:attr.3">convex</a>
 
<b>by </b><i><a class="txt" href="topalg_2.html#E1:41"><i><font color="Green" title="E27">A1</font></i></a>, <a class="ref" href="topalg_2.html#T13" target="_self" title="TOPALG_2:th.13">Th13</a></i>;<br/>
<b>hence </b><a NAME="E3:41"/>
<font color="Maroon" title="c6">P</font>,<font color="Maroon" title="c7">Q</font> <a href="borsuk_2.html#R3" title="BORSUK_2:pred.3">are_homotopic</a> 
 <b>by </b><i><a class="ref" href="topalg_2.html#T16" target="_self" title="TOPALG_2:th.16">Th16</a></i>;<br/>


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