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<a NAME="E1:64_1_1"/>
 <a href="topreal1.html#K6" title="TOPREAL1:func.6">north_halfline</a> <font color="Maroon" title="c1">p</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">{<span class="default"> <span class="p2"><a href="euclid.html#K23" title="EUCLID:func.23">|[</a><span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c1">p</font> <a href="euclid.html#K21" title="EUCLID:func.21">`1</a> </span>)</span>,<font color="Olive" title="b1">r</font></span><a href="euclid.html#K23" title="EUCLID:func.23">]|</a></span> where <font color="Olive" title="b1">r</font> is    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a>  : <font color="Olive" title="b1">r</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> <font color="Maroon" title="c1">p</font> <a href="euclid.html#K22" title="EUCLID:func.22">`2</a>  </span>}</span> 
 
<b>by </b><i><a class="ref" href="topreal1.html#T38" title="TOPREAL1:th.38">TOPREAL1:38</a></i>;<br/>
<b>hence </b><a NAME="E2:64_1_1"/>
 <a href="topreal1.html#K6" title="TOPREAL1:func.6">north_halfline</a> <font color="Maroon" title="c1">p</font> is <a href="jordan1.html#V1" title="JORDAN1:attr.1">convex</a>
 <b>by </b><i><a class="txt" href="jordan1.html#E67"><i><font color="Green" title="E55">Lm13</font></i></a></i>;<br/>


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