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<div>:: <span class="kw">deftheorem </span>   defines <a href="geomtrap.html#V5" title="GEOMTRAP:attr.5">Regular</a> <a onclick="hs(this)" href="javascript:()">GEOMTRAP:def 15 : <br/></a><span> for <font color="Olive" title="b1">IT</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="analoaf.html#L1" title="ANALOAF:struct.1">AffinStruct</a>  holds <br/> ( <font color="Olive" title="b1">IT</font> is  <a href="geomtrap.html#V5" title="GEOMTRAP:attr.5">Regular</a>  iff  for <font color="Olive" title="b2">p</font>, <font color="Olive" title="b3">q</font>, <font color="Olive" title="b4">a</font>, <font color="Olive" title="b5">a1</font>, <font color="Olive" title="b6">b</font>, <font color="Olive" title="b7">b1</font>, <font color="Olive" title="b8">c</font>, <font color="Olive" title="b9">c1</font>, <font color="Olive" title="b10">d</font>, <font color="Olive" title="b11">d1</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">IT</font>  st <font color="Olive" title="b2">p</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Olive" title="b3">q</font> &amp; <font color="Olive" title="b2">p</font>,<font color="Olive" title="b3">q</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Olive" title="b4">a</font>,<font color="Olive" title="b5">a1</font> &amp; <font color="Olive" title="b2">p</font>,<font color="Olive" title="b3">q</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Olive" title="b6">b</font>,<font color="Olive" title="b7">b1</font> &amp; <font color="Olive" title="b2">p</font>,<font color="Olive" title="b3">q</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Olive" title="b8">c</font>,<font color="Olive" title="b9">c1</font> &amp; <font color="Olive" title="b2">p</font>,<font color="Olive" title="b3">q</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Olive" title="b10">d</font>,<font color="Olive" title="b11">d1</font> &amp; <font color="Olive" title="b4">a</font>,<font color="Olive" title="b6">b</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Olive" title="b8">c</font>,<font color="Olive" title="b10">d</font> holds <br/><font color="Olive" title="b5">a1</font>,<font color="Olive" title="b7">b1</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Olive" title="b9">c1</font>,<font color="Olive" title="b11">d1</font> );<br/></span></div>
