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<b>let </b><font color="Maroon" title="c1">CPS</font> be  <a href="collsp.html#V4" title="COLLSP:attr.4">proper</a> <a href="collsp.html#NM2" title="COLLSP:NM.2">CollSp</a>;<br/><b>let </b><font color="Maroon" title="c2">x</font> be    <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> ;<br/>



<div><b>hereby </b>
<div class="add"><b>assume </b><a NAME="E1:4_1"/>
<font color="Maroon" title="c2">x</font> is    <a href="incproj.html#M1" title="INCPROJ:mode.1">LINE</a> of <font color="Maroon" title="c1">CPS</font>
 ;<br/><a NAME="E2:4_1"/><b>then </b>
<font color="Maroon" title="c2">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <span class="p1">{<span class="default"> <font color="Olive" title="b1">B</font> where <font color="Olive" title="b1">B</font> is   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Maroon" title="c1">CPS</font> : <font color="Olive" title="b1">B</font> is    <a href="incproj.html#M1" title="INCPROJ:mode.1">LINE</a> of <font color="Maroon" title="c1">CPS</font> </span>}</span> 
 ;<br/><b>hence </b><a NAME="E3:4_1"/>
<font color="Maroon" title="c2">x</font> is    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="incproj.html#K1" title="INCPROJ:func.1">ProjectiveLines</a> <font color="Maroon" title="c1">CPS</font>
 ;<br/></div>
<b>end;</b></div>

<b>assume </b><a NAME="E2:4"/>
<font color="Maroon" title="c2">x</font> is    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="incproj.html#K1" title="INCPROJ:func.1">ProjectiveLines</a> <font color="Maroon" title="c1">CPS</font>
 ;<br/>

<a NAME="E3:4"/><b>then </b>
<font color="Maroon" title="c2">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="incproj.html#K1" title="INCPROJ:func.1">ProjectiveLines</a> <font color="Maroon" title="c1">CPS</font>
 
;<br/>
<a NAME="E4:4"/><b>then </b>
 ex <font color="Olive" title="b1">B</font> being  <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Maroon" title="c1">CPS</font> st <br/>( <font color="Maroon" title="c2">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">B</font> &amp; <font color="Olive" title="b1">B</font> is    <a href="incproj.html#M1" title="INCPROJ:mode.1">LINE</a> of <font color="Maroon" title="c1">CPS</font> )
 
;<br/>
<b>hence </b><a NAME="E5:4"/>
<font color="Maroon" title="c2">x</font> is    <a href="incproj.html#M1" title="INCPROJ:mode.1">LINE</a> of <font color="Maroon" title="c1">CPS</font>
 ;<br/>


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