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<span class="kw">consider </span><font color="Maroon" title="c2">P</font>, <font color="Maroon" title="c3">Q</font> being   <a href="pre_topc.html#NM2" title="PRE_TOPC:NM.2">Point</a> of <a href="bkmodel1.html#K4" title="BKMODEL1:func.4">real_projective_plane</a><span class="kw"> such that </span><br/><a NAME="E2:71_1_1"/><span class="lab"><font color="Green" title="E37">A1</font></span>: 
<font color="Maroon" title="c2">P</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c3">Q</font>
 <span class="kw">and </span><br/><a NAME="E3:71_1_1"/><span class="lab"><font color="Green" title="E38">A2</font></span>: 
<font color="Maroon" title="c1">l</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="collsp.html#K1" title="COLLSP:func.1">Line</a> (<font color="Maroon" title="c2">P</font>,<font color="Maroon" title="c3">Q</font>)
 <span class="kw">by</span> <span class="lab"><a class="ref" href="bkmodel1.html#T72" onmouseover="rs('bkmodel1/T72')" onmouseout="rh()">BKMODEL1:72</a></span>;<br/>
<a NAME="E4:71_1_1"/>
 <a href="bkmodel1.html#K5" title="BKMODEL1:func.5">L2P</a> (<font color="Maroon" title="c2">P</font>,<font color="Maroon" title="c3">Q</font>) is   <a href="pre_topc.html#NM2" title="PRE_TOPC:NM.2">Point</a> of <a href="bkmodel1.html#K4" title="BKMODEL1:func.4">real_projective_plane</a>
 
;<br/>
<span class="kw">hence </span><a NAME="E5:71_1_1"/>
 ex <font color="Olive">b<sub>1</sub></font>, <font color="Olive" title="b2">P</font>, <font color="Olive" title="b3">Q</font> being   <a href="pre_topc.html#NM2" title="PRE_TOPC:NM.2">Point</a> of <a href="bkmodel1.html#K4" title="BKMODEL1:func.4">real_projective_plane</a> st <br/>( <font color="Olive" title="b2">P</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Olive" title="b3">Q</font> &amp; <font color="Maroon" title="c1">l</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="collsp.html#K1" title="COLLSP:func.1">Line</a> (<font color="Olive" title="b2">P</font>,<font color="Olive" title="b3">Q</font>) &amp; <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="bkmodel1.html#K5" title="BKMODEL1:func.5">L2P</a> (<font color="Olive" title="b2">P</font>,<font color="Olive" title="b3">Q</font>) )
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:71_1_1"><span class="lab"><font color="Green" title="E37">A1</font></span></a>, <a class="txt" href="#E3:71_1_1"><span class="lab"><font color="Green" title="E38">A2</font></span></a></span>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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