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<div>:: <span class="kw">deftheorem </span>   defines <a href="gtarski1.html#R8" title="GTARSKI1:pred.8">equal_line</a> <a onclick="hs(this)" href="javascript:()">GTARSKI1:def 19 : <br/></a><span> for <font color="Olive" title="b1">S</font> being   <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>, <font color="Olive" title="b3">b</font>, <font color="Olive" title="b4">x</font>, <font color="Olive" title="b5">y</font> being   <a href="gtarski1.html#NM1" title="GTARSKI1:NM.1">POINT</a> of <font color="Olive" title="b1">S</font> holds <br/> ( <font color="Olive" title="b2">a</font>,<font color="Olive" title="b3">b</font> <a href="gtarski1.html#R8" title="GTARSKI1:pred.8">equal_line</a> <font color="Olive" title="b4">x</font>,<font color="Olive" title="b5">y</font> iff ( <font color="Olive" title="b2">a</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Olive" title="b3">b</font> &amp; <font color="Olive" title="b4">x</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Olive" title="b5">y</font> &amp; (  for <font color="Olive" title="b6">c</font> being   <a href="gtarski1.html#NM1" title="GTARSKI1:NM.1">POINT</a> of <font color="Olive" title="b1">S</font> holds <br/> ( <font color="Olive" title="b6">c</font> <a href="gtarski1.html#R7" title="GTARSKI1:pred.7">on_line</a> <font color="Olive" title="b2">a</font>,<font color="Olive" title="b3">b</font> iff <font color="Olive" title="b6">c</font> <a href="gtarski1.html#R7" title="GTARSKI1:pred.7">on_line</a> <font color="Olive" title="b4">x</font>,<font color="Olive" title="b5">y</font> ) ) ) );<br/></span></div>
