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<div>:: <span class="kw">deftheorem </span>   defines <a href="gtarski4.html#R4" title="GTARSKI4:pred.4">are_lorthogonal</a> <a onclick="hs(this)" href="javascript:()">GTARSKI4:def 4 : <br/></a><span> for <font color="Olive" title="b1">S</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="gtarski1.html#V9" title="GTARSKI1:attr.9">satisfying_Tarski-model</a>   <a href="gtarski1.html#L1" title="GTARSKI1:struct.1">TarskiGeometryStruct</a> <br/>  for <font color="Olive" title="b2">A</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">S</font><br/>  for <font color="Olive" title="b3">x</font>, <font color="Olive" title="b4">c</font>, <font color="Olive" title="b5">d</font> being   <a href="gtarski1.html#NM1" title="GTARSKI1:NM.1">POINT</a> of <font color="Olive" title="b1">S</font> holds <br/> (  <a href="gtarski4.html#R4" title="GTARSKI4:pred.4">are_lorthogonal</a> <font color="Olive" title="b2">A</font>,<font color="Olive" title="b3">x</font>,<font color="Olive" title="b4">c</font>,<font color="Olive" title="b5">d</font> iff ( <font color="Olive" title="b4">c</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Olive" title="b5">d</font> &amp;  <a href="gtarski4.html#R2" title="GTARSKI4:pred.2">are_orthogonal</a> <font color="Olive" title="b2">A</font>,<font color="Olive" title="b3">x</font>, <a href="gtarski4.html#K1" title="GTARSKI4:func.1">Line</a> (<font color="Olive" title="b4">c</font>,<font color="Olive" title="b5">d</font>) ) );<br/></span></div>
