<?xml version="1.0"?>
<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E53">Th47</font></span>: <a NAME="T55"><span class="comment"><font color="firebrick">:: BKMODEL4:55</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">P</font>, <font color="Olive" title="b2">Q</font>, <font color="Olive" title="b3">P1</font> being   non  <a href="bkmodel4.html#V1" title="BKMODEL4:attr.1">point_at_infty</a>  <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <span class="p1">(<span class="default"><a href="anproj_1.html#K5" title="ANPROJ_1:func.5">ProjectiveSpace</a> <span class="p2">(<span class="default"><a href="euclid.html#K15" title="EUCLID:func.15">TOP-REAL</a> 3</span>)</span></span>)</span>  st <font color="Olive" title="b1">P</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="bkmodel2.html#K1" title="BKMODEL2:func.1">BK_model</a>  &amp; <font color="Olive" title="b2">Q</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="bkmodel2.html#K1" title="BKMODEL2:func.1">BK_model</a>  &amp; <font color="Olive" title="b3">P1</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="bkmodel1.html#K7" title="BKMODEL1:func.7">absolute</a>  holds <br/> not  <a href="gtarski1.html#R1" title="GTARSKI1:pred.1">between</a>  <a href="bkmodel4.html#K5" title="BKMODEL4:func.5">RP3_to_T2</a> <font color="Olive" title="b2">Q</font>, <a href="bkmodel4.html#K5" title="BKMODEL4:func.5">RP3_to_T2</a> <font color="Olive" title="b3">P1</font>, <a href="bkmodel4.html#K5" title="BKMODEL4:func.5">RP3_to_T2</a> <font color="Olive" title="b1">P</font></div></div>
