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<b>let </b><font color="Maroon" title="c1">G</font> be    <a href="incsp_1.html#L1" title="INCSP_1:struct.1">IncProjStr</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">a</font>, <font color="Olive" title="b2">b</font>, <font color="Olive" title="b3">c</font>, <font color="Olive" title="b4">d</font> being  <a href="incsp_1.html#NM1" title="INCSP_1:NM.1">POINT</a> of <font color="Maroon" title="c1">G</font>  st <font color="Olive" title="b1">a</font>,<font color="Olive" title="b2">b</font>,<font color="Olive" title="b3">c</font>,<font color="Olive" title="b4">d</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  holds <br/>( <font color="Olive" title="b1">a</font>,<font color="Olive" title="b3">c</font>,<font color="Olive" title="b2">b</font>,<font color="Olive" title="b4">d</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Olive" title="b2">b</font>,<font color="Olive" title="b1">a</font>,<font color="Olive" title="b3">c</font>,<font color="Olive" title="b4">d</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Olive" title="b2">b</font>,<font color="Olive" title="b3">c</font>,<font color="Olive" title="b1">a</font>,<font color="Olive" title="b4">d</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Olive" title="b3">c</font>,<font color="Olive" title="b1">a</font>,<font color="Olive" title="b2">b</font>,<font color="Olive" title="b4">d</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Olive" title="b3">c</font>,<font color="Olive" title="b2">b</font>,<font color="Olive" title="b1">a</font>,<font color="Olive" title="b4">d</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Olive" title="b1">a</font>,<font color="Olive" title="b2">b</font>,<font color="Olive" title="b4">d</font>,<font color="Olive" title="b3">c</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Olive" title="b1">a</font>,<font color="Olive" title="b3">c</font>,<font color="Olive" title="b4">d</font>,<font color="Olive" title="b2">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Olive" title="b2">b</font>,<font color="Olive" title="b1">a</font>,<font color="Olive" title="b4">d</font>,<font color="Olive" title="b3">c</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Olive" title="b2">b</font>,<font color="Olive" title="b3">c</font>,<font color="Olive" title="b4">d</font>,<font color="Olive" title="b1">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Olive" title="b3">c</font>,<font color="Olive" title="b1">a</font>,<font color="Olive" title="b4">d</font>,<font color="Olive" title="b2">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Olive" title="b3">c</font>,<font color="Olive" title="b2">b</font>,<font color="Olive" title="b4">d</font>,<font color="Olive" title="b1">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Olive" title="b1">a</font>,<font color="Olive" title="b4">d</font>,<font color="Olive" title="b2">b</font>,<font color="Olive" title="b3">c</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Olive" title="b1">a</font>,<font color="Olive" title="b4">d</font>,<font color="Olive" title="b3">c</font>,<font color="Olive" title="b2">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Olive" title="b2">b</font>,<font color="Olive" title="b4">d</font>,<font color="Olive" title="b1">a</font>,<font color="Olive" title="b3">c</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Olive" title="b2">b</font>,<font color="Olive" title="b4">d</font>,<font color="Olive" title="b3">c</font>,<font color="Olive" title="b1">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Olive" title="b3">c</font>,<font color="Olive" title="b4">d</font>,<font color="Olive" title="b1">a</font>,<font color="Olive" title="b2">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Olive" title="b3">c</font>,<font color="Olive" title="b4">d</font>,<font color="Olive" title="b2">b</font>,<font color="Olive" title="b1">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Olive" title="b4">d</font>,<font color="Olive" title="b1">a</font>,<font color="Olive" title="b2">b</font>,<font color="Olive" title="b3">c</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Olive" title="b4">d</font>,<font color="Olive" title="b1">a</font>,<font color="Olive" title="b3">c</font>,<font color="Olive" title="b2">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Olive" title="b4">d</font>,<font color="Olive" title="b2">b</font>,<font color="Olive" title="b1">a</font>,<font color="Olive" title="b3">c</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Olive" title="b4">d</font>,<font color="Olive" title="b2">b</font>,<font color="Olive" title="b3">c</font>,<font color="Olive" title="b1">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Olive" title="b4">d</font>,<font color="Olive" title="b3">c</font>,<font color="Olive" title="b1">a</font>,<font color="Olive" title="b2">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Olive" title="b4">d</font>,<font color="Olive" title="b3">c</font>,<font color="Olive" title="b2">b</font>,<font color="Olive" title="b1">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  )</span><br/><b>let </b><font color="Maroon" title="c2">a</font>, <font color="Maroon" title="c3">b</font>, <font color="Maroon" title="c4">c</font>, <font color="Maroon" title="c5">d</font> be   <a href="incsp_1.html#NM1" title="INCSP_1:NM.1">POINT</a> of <font color="Maroon" title="c1">G</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">a</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c5">d</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  implies ( <font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c5">d</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c5">d</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c5">d</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c5">d</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c5">d</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c4">c</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c4">c</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  ) )</span><br/>









<b>assume </b><a NAME="E1:20"/>
<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c5">d</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a> 
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c5">d</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c5">d</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c5">d</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c5">d</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c5">d</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c4">c</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c4">c</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  )</span><br/>

<a NAME="E2:20"/><b>then </b><i><font color="Green" title="E18">A1</font></i>: 
( <font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font> <a href="projpl_1.html#NR6" title="PROJPL_1:NR.6">is_a_triangle</a>  &amp; <font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c5">d</font> <a href="projpl_1.html#NR6" title="PROJPL_1:NR.6">is_a_triangle</a>  &amp; <font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#NR6" title="PROJPL_1:NR.6">is_a_triangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#NR6" title="PROJPL_1:NR.6">is_a_triangle</a>  )
 
<b>by </b><i><a class="ref" href="projpl_1.html#D6" target="_self" title="PROJPL_1:def.6">Def6</a></i>;<br/>
<a NAME="E3:20"/><b>then </b><i><font color="Green" title="E19">A2</font></i>: 
( <font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#NR6" title="PROJPL_1:NR.6">is_a_triangle</a>  &amp; <font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c4">c</font> <a href="projpl_1.html#NR6" title="PROJPL_1:NR.6">is_a_triangle</a>  &amp; <font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#NR6" title="PROJPL_1:NR.6">is_a_triangle</a>  &amp; <font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#NR6" title="PROJPL_1:NR.6">is_a_triangle</a>  &amp; <font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#NR6" title="PROJPL_1:NR.6">is_a_triangle</a>  )
 
<b>by </b><i><a class="ref" href="projpl_1.html#T11" target="_self" title="PROJPL_1:th.11">Th11</a></i>;<br/>
<a NAME="E4:20"/><i><font color="Green" title="E20">A3</font></i>: 
( <font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font> <a href="projpl_1.html#NR6" title="PROJPL_1:NR.6">is_a_triangle</a>  &amp; <font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c5">d</font> <a href="projpl_1.html#NR6" title="PROJPL_1:NR.6">is_a_triangle</a>  &amp; <font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#NR6" title="PROJPL_1:NR.6">is_a_triangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font> <a href="projpl_1.html#NR6" title="PROJPL_1:NR.6">is_a_triangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#NR6" title="PROJPL_1:NR.6">is_a_triangle</a>  )
 
<b>by </b><i><a class="txt" href="projpl_1.html#E2:20"><i><font color="Green" title="E18">A1</font></i></a>, <a class="ref" href="projpl_1.html#T11" target="_self" title="PROJPL_1:th.11">Th11</a></i>;<br/>
<a NAME="E5:20"/><i><font color="Green" title="E21">A4</font></i>: 
( <font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c5">d</font> <a href="projpl_1.html#NR6" title="PROJPL_1:NR.6">is_a_triangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#NR6" title="PROJPL_1:NR.6">is_a_triangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c4">c</font> <a href="projpl_1.html#NR6" title="PROJPL_1:NR.6">is_a_triangle</a>  &amp; <font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c5">d</font> <a href="projpl_1.html#NR6" title="PROJPL_1:NR.6">is_a_triangle</a>  &amp; <font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font> <a href="projpl_1.html#NR6" title="PROJPL_1:NR.6">is_a_triangle</a>  )
 
<b>by </b><i><a class="txt" href="projpl_1.html#E2:20"><i><font color="Green" title="E18">A1</font></i></a>, <a class="ref" href="projpl_1.html#T11" target="_self" title="PROJPL_1:th.11">Th11</a></i>;<br/>
<a NAME="E6:20"/><i><font color="Green" title="E22">A5</font></i>: 
( <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#NR6" title="PROJPL_1:NR.6">is_a_triangle</a>  &amp; <font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#NR6" title="PROJPL_1:NR.6">is_a_triangle</a>  &amp; <font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c5">d</font> <a href="projpl_1.html#NR6" title="PROJPL_1:NR.6">is_a_triangle</a>  &amp; <font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#NR6" title="PROJPL_1:NR.6">is_a_triangle</a>  &amp; <font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c5">d</font> <a href="projpl_1.html#NR6" title="PROJPL_1:NR.6">is_a_triangle</a>  )
 
<b>by </b><i><a class="txt" href="projpl_1.html#E2:20"><i><font color="Green" title="E18">A1</font></i></a>, <a class="ref" href="projpl_1.html#T11" target="_self" title="PROJPL_1:th.11">Th11</a></i>;<br/>
<b>hence </b><a NAME="E7:20"/>
<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c5">d</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a> 
 <b>by </b><i><a class="txt" href="projpl_1.html#E3:20"><i><font color="Green" title="E19">A2</font></i></a>, <a class="txt" href="projpl_1.html#E4:20"><i><font color="Green" title="E20">A3</font></i></a>, <a class="txt" href="projpl_1.html#E5:20"><i><font color="Green" title="E21">A4</font></i></a>, <a class="ref" href="projpl_1.html#D6" target="_self" title="PROJPL_1:def.6">Def6</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c5">d</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c5">d</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c5">d</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c5">d</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c4">c</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c4">c</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  )</span><br/>

<b>thus </b><a NAME="E8:20"/>
<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c5">d</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a> 
 <b>by </b><i><a class="txt" href="projpl_1.html#E3:20"><i><font color="Green" title="E19">A2</font></i></a>, <a class="txt" href="projpl_1.html#E4:20"><i><font color="Green" title="E20">A3</font></i></a>, <a class="txt" href="projpl_1.html#E5:20"><i><font color="Green" title="E21">A4</font></i></a>, <a class="txt" href="projpl_1.html#E6:20"><i><font color="Green" title="E22">A5</font></i></a>, <a class="ref" href="projpl_1.html#D6" target="_self" title="PROJPL_1:def.6">Def6</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c5">d</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c5">d</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c5">d</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c4">c</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c4">c</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  )</span><br/>

<b>thus </b><a NAME="E9:20"/>
<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c5">d</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a> 
 <b>by </b><i><a class="txt" href="projpl_1.html#E3:20"><i><font color="Green" title="E19">A2</font></i></a>, <a class="txt" href="projpl_1.html#E4:20"><i><font color="Green" title="E20">A3</font></i></a>, <a class="txt" href="projpl_1.html#E5:20"><i><font color="Green" title="E21">A4</font></i></a>, <a class="txt" href="projpl_1.html#E6:20"><i><font color="Green" title="E22">A5</font></i></a>, <a class="ref" href="projpl_1.html#D6" target="_self" title="PROJPL_1:def.6">Def6</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c5">d</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c5">d</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c4">c</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c4">c</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  )</span><br/>

<b>thus </b><a NAME="E10:20"/>
<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c5">d</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a> 
 <b>by </b><i><a class="txt" href="projpl_1.html#E3:20"><i><font color="Green" title="E19">A2</font></i></a>, <a class="txt" href="projpl_1.html#E4:20"><i><font color="Green" title="E20">A3</font></i></a>, <a class="txt" href="projpl_1.html#E5:20"><i><font color="Green" title="E21">A4</font></i></a>, <a class="txt" href="projpl_1.html#E6:20"><i><font color="Green" title="E22">A5</font></i></a>, <a class="ref" href="projpl_1.html#D6" target="_self" title="PROJPL_1:def.6">Def6</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c5">d</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c4">c</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c4">c</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  )</span><br/>

<b>thus </b><a NAME="E11:20"/>
<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c5">d</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a> 
 <b>by </b><i><a class="txt" href="projpl_1.html#E3:20"><i><font color="Green" title="E19">A2</font></i></a>, <a class="txt" href="projpl_1.html#E4:20"><i><font color="Green" title="E20">A3</font></i></a>, <a class="txt" href="projpl_1.html#E5:20"><i><font color="Green" title="E21">A4</font></i></a>, <a class="txt" href="projpl_1.html#E6:20"><i><font color="Green" title="E22">A5</font></i></a>, <a class="ref" href="projpl_1.html#D6" target="_self" title="PROJPL_1:def.6">Def6</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c4">c</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c4">c</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  )</span><br/>

<b>thus </b><a NAME="E12:20"/>
<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a> 
 <b>by </b><i><a class="txt" href="projpl_1.html#E3:20"><i><font color="Green" title="E19">A2</font></i></a>, <a class="txt" href="projpl_1.html#E4:20"><i><font color="Green" title="E20">A3</font></i></a>, <a class="txt" href="projpl_1.html#E5:20"><i><font color="Green" title="E21">A4</font></i></a>, <a class="txt" href="projpl_1.html#E6:20"><i><font color="Green" title="E22">A5</font></i></a>, <a class="ref" href="projpl_1.html#D6" target="_self" title="PROJPL_1:def.6">Def6</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c4">c</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c4">c</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  )</span><br/>

<b>thus </b><a NAME="E13:20"/>
<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a> 
 <b>by </b><i><a class="txt" href="projpl_1.html#E3:20"><i><font color="Green" title="E19">A2</font></i></a>, <a class="txt" href="projpl_1.html#E4:20"><i><font color="Green" title="E20">A3</font></i></a>, <a class="txt" href="projpl_1.html#E5:20"><i><font color="Green" title="E21">A4</font></i></a>, <a class="txt" href="projpl_1.html#E6:20"><i><font color="Green" title="E22">A5</font></i></a>, <a class="ref" href="projpl_1.html#D6" target="_self" title="PROJPL_1:def.6">Def6</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c4">c</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c4">c</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  )</span><br/>

<b>thus </b><a NAME="E14:20"/>
<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a> 
 <b>by </b><i><a class="txt" href="projpl_1.html#E3:20"><i><font color="Green" title="E19">A2</font></i></a>, <a class="txt" href="projpl_1.html#E4:20"><i><font color="Green" title="E20">A3</font></i></a>, <a class="txt" href="projpl_1.html#E5:20"><i><font color="Green" title="E21">A4</font></i></a>, <a class="txt" href="projpl_1.html#E6:20"><i><font color="Green" title="E22">A5</font></i></a>, <a class="ref" href="projpl_1.html#D6" target="_self" title="PROJPL_1:def.6">Def6</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c4">c</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c4">c</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  )</span><br/>

<b>thus </b><a NAME="E15:20"/>
<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a> 
 <b>by </b><i><a class="txt" href="projpl_1.html#E2:20"><i><font color="Green" title="E18">A1</font></i></a>, <a class="ref" href="projpl_1.html#D6" target="_self" title="PROJPL_1:def.6">Def6</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c4">c</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c4">c</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  )</span><br/>

<b>thus </b><a NAME="E16:20"/>
<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a> 
 <b>by </b><i><a class="txt" href="projpl_1.html#E3:20"><i><font color="Green" title="E19">A2</font></i></a>, <a class="txt" href="projpl_1.html#E4:20"><i><font color="Green" title="E20">A3</font></i></a>, <a class="txt" href="projpl_1.html#E5:20"><i><font color="Green" title="E21">A4</font></i></a>, <a class="txt" href="projpl_1.html#E6:20"><i><font color="Green" title="E22">A5</font></i></a>, <a class="ref" href="projpl_1.html#D6" target="_self" title="PROJPL_1:def.6">Def6</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c4">c</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c4">c</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  )</span><br/>

<b>thus </b><a NAME="E17:20"/>
<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a> 
 <b>by </b><i><a class="txt" href="projpl_1.html#E3:20"><i><font color="Green" title="E19">A2</font></i></a>, <a class="txt" href="projpl_1.html#E4:20"><i><font color="Green" title="E20">A3</font></i></a>, <a class="txt" href="projpl_1.html#E5:20"><i><font color="Green" title="E21">A4</font></i></a>, <a class="txt" href="projpl_1.html#E6:20"><i><font color="Green" title="E22">A5</font></i></a>, <a class="ref" href="projpl_1.html#D6" target="_self" title="PROJPL_1:def.6">Def6</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c4">c</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c4">c</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  )</span><br/>

<b>thus </b><a NAME="E18:20"/>
<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a> 
 <b>by </b><i><a class="txt" href="projpl_1.html#E3:20"><i><font color="Green" title="E19">A2</font></i></a>, <a class="txt" href="projpl_1.html#E4:20"><i><font color="Green" title="E20">A3</font></i></a>, <a class="txt" href="projpl_1.html#E5:20"><i><font color="Green" title="E21">A4</font></i></a>, <a class="txt" href="projpl_1.html#E6:20"><i><font color="Green" title="E22">A5</font></i></a>, <a class="ref" href="projpl_1.html#D6" target="_self" title="PROJPL_1:def.6">Def6</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c4">c</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c4">c</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  )</span><br/>

<b>thus </b><a NAME="E19:20"/>
<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a> 
 <b>by </b><i><a class="txt" href="projpl_1.html#E3:20"><i><font color="Green" title="E19">A2</font></i></a>, <a class="txt" href="projpl_1.html#E4:20"><i><font color="Green" title="E20">A3</font></i></a>, <a class="txt" href="projpl_1.html#E5:20"><i><font color="Green" title="E21">A4</font></i></a>, <a class="txt" href="projpl_1.html#E6:20"><i><font color="Green" title="E22">A5</font></i></a>, <a class="ref" href="projpl_1.html#D6" target="_self" title="PROJPL_1:def.6">Def6</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c4">c</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c4">c</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  )</span><br/>

<b>thus </b><a NAME="E20:20"/>
<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c4">c</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a> 
 <b>by </b><i><a class="txt" href="projpl_1.html#E3:20"><i><font color="Green" title="E19">A2</font></i></a>, <a class="txt" href="projpl_1.html#E4:20"><i><font color="Green" title="E20">A3</font></i></a>, <a class="txt" href="projpl_1.html#E5:20"><i><font color="Green" title="E21">A4</font></i></a>, <a class="txt" href="projpl_1.html#E6:20"><i><font color="Green" title="E22">A5</font></i></a>, <a class="ref" href="projpl_1.html#D6" target="_self" title="PROJPL_1:def.6">Def6</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c4">c</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  )</span><br/>

<b>thus </b><a NAME="E21:20"/>
<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a> 
 <b>by </b><i><a class="txt" href="projpl_1.html#E3:20"><i><font color="Green" title="E19">A2</font></i></a>, <a class="txt" href="projpl_1.html#E4:20"><i><font color="Green" title="E20">A3</font></i></a>, <a class="txt" href="projpl_1.html#E5:20"><i><font color="Green" title="E21">A4</font></i></a>, <a class="txt" href="projpl_1.html#E6:20"><i><font color="Green" title="E22">A5</font></i></a>, <a class="ref" href="projpl_1.html#D6" target="_self" title="PROJPL_1:def.6">Def6</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c4">c</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  )</span><br/>

<b>thus </b><a NAME="E22:20"/>
<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a> 
 <b>by </b><i><a class="txt" href="projpl_1.html#E2:20"><i><font color="Green" title="E18">A1</font></i></a>, <a class="ref" href="projpl_1.html#D6" target="_self" title="PROJPL_1:def.6">Def6</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c4">c</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  )</span><br/>

<b>thus </b><a NAME="E23:20"/>
<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a> 
 <b>by </b><i><a class="txt" href="projpl_1.html#E3:20"><i><font color="Green" title="E19">A2</font></i></a>, <a class="txt" href="projpl_1.html#E4:20"><i><font color="Green" title="E20">A3</font></i></a>, <a class="txt" href="projpl_1.html#E5:20"><i><font color="Green" title="E21">A4</font></i></a>, <a class="txt" href="projpl_1.html#E6:20"><i><font color="Green" title="E22">A5</font></i></a>, <a class="ref" href="projpl_1.html#D6" target="_self" title="PROJPL_1:def.6">Def6</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c4">c</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  )</span><br/>

<b>thus </b><a NAME="E24:20"/>
<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a> 
 <b>by </b><i><a class="txt" href="projpl_1.html#E2:20"><i><font color="Green" title="E18">A1</font></i></a>, <a class="ref" href="projpl_1.html#D6" target="_self" title="PROJPL_1:def.6">Def6</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c4">c</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  )</span><br/>

<b>thus </b><a NAME="E25:20"/>
<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a> 
 <b>by </b><i><a class="txt" href="projpl_1.html#E3:20"><i><font color="Green" title="E19">A2</font></i></a>, <a class="txt" href="projpl_1.html#E4:20"><i><font color="Green" title="E20">A3</font></i></a>, <a class="txt" href="projpl_1.html#E5:20"><i><font color="Green" title="E21">A4</font></i></a>, <a class="txt" href="projpl_1.html#E6:20"><i><font color="Green" title="E22">A5</font></i></a>, <a class="ref" href="projpl_1.html#D6" target="_self" title="PROJPL_1:def.6">Def6</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c4">c</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  )</span><br/>

<b>thus </b><a NAME="E26:20"/>
<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c4">c</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a> 
 <b>by </b><i><a class="txt" href="projpl_1.html#E3:20"><i><font color="Green" title="E19">A2</font></i></a>, <a class="txt" href="projpl_1.html#E4:20"><i><font color="Green" title="E20">A3</font></i></a>, <a class="txt" href="projpl_1.html#E5:20"><i><font color="Green" title="E21">A4</font></i></a>, <a class="txt" href="projpl_1.html#E6:20"><i><font color="Green" title="E22">A5</font></i></a>, <a class="ref" href="projpl_1.html#D6" target="_self" title="PROJPL_1:def.6">Def6</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  )</span><br/>

<b>thus </b><a NAME="E27:20"/>
<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a> 
 <b>by </b><i><a class="txt" href="projpl_1.html#E3:20"><i><font color="Green" title="E19">A2</font></i></a>, <a class="txt" href="projpl_1.html#E4:20"><i><font color="Green" title="E20">A3</font></i></a>, <a class="txt" href="projpl_1.html#E5:20"><i><font color="Green" title="E21">A4</font></i></a>, <a class="txt" href="projpl_1.html#E6:20"><i><font color="Green" title="E22">A5</font></i></a>, <a class="ref" href="projpl_1.html#D6" target="_self" title="PROJPL_1:def.6">Def6</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  &amp; <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a>  )</span><br/>

<b>thus </b><a NAME="E28:20"/>
<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a> 
 <b>by </b><i><a class="txt" href="projpl_1.html#E3:20"><i><font color="Green" title="E19">A2</font></i></a>, <a class="txt" href="projpl_1.html#E4:20"><i><font color="Green" title="E20">A3</font></i></a>, <a class="txt" href="projpl_1.html#E5:20"><i><font color="Green" title="E21">A4</font></i></a>, <a class="txt" href="projpl_1.html#E6:20"><i><font color="Green" title="E22">A5</font></i></a>, <a class="ref" href="projpl_1.html#D6" target="_self" title="PROJPL_1:def.6">Def6</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a> </span><br/>

<b>thus </b><a NAME="E29:20"/>
<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R5" title="PROJPL_1:pred.5">is_a_quadrangle</a> 
 <b>by </b><i><a class="txt" href="projpl_1.html#E3:20"><i><font color="Green" title="E19">A2</font></i></a>, <a class="txt" href="projpl_1.html#E4:20"><i><font color="Green" title="E20">A3</font></i></a>, <a class="txt" href="projpl_1.html#E5:20"><i><font color="Green" title="E21">A4</font></i></a>, <a class="txt" href="projpl_1.html#E6:20"><i><font color="Green" title="E22">A5</font></i></a>, <a class="ref" href="projpl_1.html#D6" target="_self" title="PROJPL_1:def.6">Def6</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


</div>
