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<span class="kw">set </span><font color="Maroon" title="c1">S</font> =  the   <a href="analoaf.html#NM2" title="ANALOAF:NM.2">OAffinPlane</a>;<br/>
<span class="kw">reconsider </span><font color="Maroon" title="c2">AS</font> =  <a href="diraf.html#K2" title="DIRAF:func.2">Lambda</a>  the   <a href="analoaf.html#NM2" title="ANALOAF:NM.2">OAffinPlane</a> as   <a href="diraf.html#NM1" title="DIRAF:NM.1">AffinSpace</a> <span class="kw">by</span> <span class="lab"><a class="ref" href="diraf.html#T41" target="_self" onmouseover="rs('diraf/T41')" onmouseout="rh()">Th41</a></span>;<br/>
<a NAME="E2:47_1_1"/>
 for <font color="Olive" title="b1">x</font>, <font color="Olive" title="b2">y</font>, <font color="Olive" title="b3">z</font>, <font color="Olive" title="b4">t</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c2">AS</font>  st  not <font color="Olive" title="b1">x</font>,<font color="Olive" title="b2">y</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Olive" title="b3">z</font>,<font color="Olive" title="b4">t</font> holds <br/> ex <font color="Olive" title="b5">u</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c2">AS</font> st <br/>( <font color="Olive" title="b1">x</font>,<font color="Olive" title="b2">y</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Olive" title="b1">x</font>,<font color="Olive" title="b5">u</font> &amp; <font color="Olive" title="b3">z</font>,<font color="Olive" title="b4">t</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Olive" title="b3">z</font>,<font color="Olive" title="b5">u</font> )
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="diraf.html#T44" target="_self" onmouseover="rs('diraf/T44')" onmouseout="rh()">Th44</a></span>;<br/>
<a NAME="E3:47_1_1"/><span class="kw">then </span>
<font color="Maroon" title="c2">AS</font> is  <a href="diraf.html#V2" title="DIRAF:attr.2">2-dimensional</a> 
 
;<br/>
<span class="kw">hence </span><a NAME="E4:47_1_1"/>
 ex <font color="Olive">b<sub>1</sub></font> being   <a href="diraf.html#NM1" title="DIRAF:NM.1">AffinSpace</a> st <br/>( <font color="Olive">b<sub>1</sub></font> is  <a href="analoaf.html#V1" title="ANALOAF:attr.1">strict</a>  &amp; <font color="Olive">b<sub>1</sub></font> is  <a href="diraf.html#V2" title="DIRAF:attr.2">2-dimensional</a>  )
 ; <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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