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<b>let </b><font color="Maroon" title="c1">IPP</font> be  <a href="incproj.html#V5" title="INCPROJ:attr.5">2-dimensional</a> <a href="incproj.html#V9" title="INCPROJ:attr.9">Desarguesian</a> <a href="incproj.html#NM2" title="INCPROJ:NM.2">IncProjSp</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> for <font color="Olive" title="b1">f</font> being   <a href="projred2.html#M1" title="PROJRED2:mode.1">Projection</a> of <font color="Maroon" title="c1">IPP</font> holds  <font color="Olive" title="b1">f</font> <a href="funct_1.html#K2" title="FUNCT_1:func.2">"</a>  is    <a href="projred2.html#M1" title="PROJRED2:mode.1">Projection</a> of <font color="Maroon" title="c1">IPP</font></span><br/><b>let </b><font color="Maroon" title="c2">f</font> be    <a href="projred2.html#M1" title="PROJRED2:mode.1">Projection</a> of <font color="Maroon" title="c1">IPP</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon" title="c2">f</font> <a href="funct_1.html#K2" title="FUNCT_1:func.2">"</a>  is    <a href="projred2.html#M1" title="PROJRED2:mode.1">Projection</a> of <font color="Maroon" title="c1">IPP</font></span><br/>



<b>consider </b><font color="Maroon" title="c3">a</font> being   <a href="incsp_1.html#NM1" title="INCSP_1:NM.1">POINT</a> of <font color="Maroon" title="c1">IPP</font>, <font color="Maroon" title="c4">A</font>, <font color="Maroon" title="c5">B</font> being   <a href="incsp_1.html#NM2" title="INCSP_1:NM.2">LINE</a> of <font color="Maroon" title="c1">IPP</font><b> such that </b><br/><a NAME="E2:11"/><i><font color="Green" title="E9">A1</font></i>: 
( not <font color="Maroon" title="c3">a</font> <a href="incsp_1.html#R1" title="INCSP_1:pred.1">on</a> <font color="Maroon" title="c4">A</font> &amp; not <font color="Maroon" title="c3">a</font> <a href="incsp_1.html#R1" title="INCSP_1:pred.1">on</a> <font color="Maroon" title="c5">B</font> &amp; <font color="Maroon" title="c2">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="projred1.html#K1" title="PROJRED1:func.1">IncProj</a> <font color="Maroon" title="c4">A</font>,<font color="Maroon" title="c3">a</font>,<font color="Maroon" title="c5">B</font> )
 <b>by </b><i><a class="ref" href="projred2.html#D3" target="_self" title="PROJRED2:def.3">Def3</a></i>;<br/>
<a NAME="E3:11"/>
<font color="Maroon" title="c2">f</font> <a href="funct_1.html#K2" title="FUNCT_1:func.2">"</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="projred1.html#K1" title="PROJRED1:func.1">IncProj</a> <font color="Maroon" title="c5">B</font>,<font color="Maroon" title="c3">a</font>,<font color="Maroon" title="c4">A</font>
 
<b>by </b><i><a class="txt" href="projred2.html#E2:11"><i><font color="Green" title="E9">A1</font></i></a>, <a class="ref" href="projred2.html#T9" target="_self" title="PROJRED2:th.9">Th9</a></i>;<br/>
<b>hence </b><a NAME="E4:11"/>
<font color="Maroon" title="c2">f</font> <a href="funct_1.html#K2" title="FUNCT_1:func.2">"</a>  is    <a href="projred2.html#M1" title="PROJRED2:mode.1">Projection</a> of <font color="Maroon" title="c1">IPP</font>
 <b>by </b><i><a class="txt" href="projred2.html#E2:11"><i><font color="Green" title="E9">A1</font></i></a>, <a class="ref" href="projred2.html#D3" target="_self" title="PROJRED2:def.3">Def3</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


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