<?xml version="1.0"?>
<div class="add">

<b>let </b><font color="Maroon">G</font> be    <a href="incsp_1.html#L1">IncProjStr</a> ;<br/>

<div><b>hereby </b>
<div class="add"><b>assume </b><a NAME="E1:7_1"/><i><font color="Green">E36</font></i>: 
<font color="Maroon">G</font> is <a href="projpl_1.html#V1" target="_self">configuration</a>
 ;<br/><b>let </b><font color="Maroon">p</font> be   <a href="incsp_1.html#NM1">POINT</a> of <font color="Maroon">G</font>;<br/><b>let </b><font color="Maroon">q</font> be   <a href="incsp_1.html#NM1">POINT</a> of <font color="Maroon">G</font>;<br/><b>let </b><font color="Maroon">P</font> be   <a href="incsp_1.html#NM2">LINE</a> of <font color="Maroon">G</font>;<br/><b>let </b><font color="Maroon">Q</font> be   <a href="incsp_1.html#NM2">LINE</a> of <font color="Maroon">G</font>;<br/><b>assume </b><a NAME="E2:7_1"/>
( <font color="Maroon">p</font>,<font color="Maroon">q</font> <a href="incproj.html#R3">on</a> <font color="Maroon">P</font> &amp; <font color="Maroon">p</font>,<font color="Maroon">q</font> <a href="incproj.html#R3">on</a> <font color="Maroon">Q</font> )
 ;<br/><a NAME="E3:7_1"/><b>then </b>
( <font color="Maroon">p</font> <a href="incsp_1.html#R1">on</a> <font color="Maroon">P</font> &amp; <font color="Maroon">q</font> <a href="incsp_1.html#R1">on</a> <font color="Maroon">P</font> &amp; <font color="Maroon">p</font> <a href="incsp_1.html#R1">on</a> <font color="Maroon">Q</font> &amp; <font color="Maroon">q</font> <a href="incsp_1.html#R1">on</a> <font color="Maroon">Q</font> )
 <b>by </b><i><a class="ref" href="incproj.html#D7">INCPROJ:def 7</a></i>;<br/><b>hence </b><a NAME="E4:7_1"/>
( <font color="Maroon">p</font> <a href="hidden.html#R1">=</a> <font color="Maroon">q</font> or <font color="Maroon">P</font> <a href="hidden.html#R1">=</a> <font color="Maroon">Q</font> )
 <b>by </b><i>, </i>;<br/></div>
<b>end;</b></div>

<div><b>hereby </b>
<div class="add"><b>assume </b><a NAME="E1:7_2"/><i><font color="Green">E37</font></i>: 
for <font color="Olive">p</font>, <font color="Olive">q</font> being  <a href="incsp_1.html#NM1">POINT</a> of <font color="Maroon">G</font><br/> for <font color="Olive">P</font>, <font color="Olive">Q</font> being  <a href="incsp_1.html#NM2">LINE</a> of <font color="Maroon">G</font>  st <font color="Olive">p</font>,<font color="Olive">q</font> <a href="incproj.html#R3">on</a> <font color="Olive">P</font> &amp; <font color="Olive">p</font>,<font color="Olive">q</font> <a href="incproj.html#R3">on</a> <font color="Olive">Q</font> &amp; not <font color="Olive">p</font> <a href="hidden.html#R1">=</a> <font color="Olive">q</font> holds <br/><font color="Olive">P</font> <a href="hidden.html#R1">=</a> <font color="Olive">Q</font>
 ;<br/><div><a class="txt" onclick="hs2(this)" href="javascript:()" title="7_2_1"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">p</font> be   <a href="incsp_1.html#NM1">POINT</a> of <font color="Maroon">G</font>;<br/><b>let </b><font color="Maroon">q</font> be   <a href="incsp_1.html#NM1">POINT</a> of <font color="Maroon">G</font>;<br/><b>let </b><font color="Maroon">P</font> be   <a href="incsp_1.html#NM2">LINE</a> of <font color="Maroon">G</font>;<br/><b>let </b><font color="Maroon">Q</font> be   <a href="incsp_1.html#NM2">LINE</a> of <font color="Maroon">G</font>;<br/><b>assume </b><a NAME="E1:7_2_1"/>
( <font color="Maroon">p</font> <a href="incsp_1.html#R1">on</a> <font color="Maroon">P</font> &amp; <font color="Maroon">q</font> <a href="incsp_1.html#R1">on</a> <font color="Maroon">P</font> &amp; <font color="Maroon">p</font> <a href="incsp_1.html#R1">on</a> <font color="Maroon">Q</font> &amp; <font color="Maroon">q</font> <a href="incsp_1.html#R1">on</a> <font color="Maroon">Q</font> )
 ;<br/><a NAME="E2:7_2_1"/><b>then </b>
( <font color="Maroon">p</font>,<font color="Maroon">q</font> <a href="incproj.html#R3">on</a> <font color="Maroon">P</font> &amp; <font color="Maroon">p</font>,<font color="Maroon">q</font> <a href="incproj.html#R3">on</a> <font color="Maroon">Q</font> )
 <b>by </b><i><a class="ref" href="incproj.html#D7">INCPROJ:def 7</a></i>;<br/><b>hence </b><a NAME="E3:7_2_1"/>
( <font color="Maroon">p</font> <a href="hidden.html#R1">=</a> <font color="Maroon">q</font> or <font color="Maroon">P</font> <a href="hidden.html#R1">=</a> <font color="Maroon">Q</font> )
 <b>by </b><i/>;<br/></div><b>end;</b></div><b>hence </b><a NAME="E3:7_2"/>
<font color="Maroon">G</font> is <a href="projpl_1.html#V1" target="_self">configuration</a>
 <b>by </b><i/>;<br/></div>
<b>end;</b></div>


</div>
