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<div>:: <span class="kw">deftheorem </span>   defines <a href="gtarski5.html#R13" title="GTARSKI5:pred.13">is_space3</a> <a onclick="hs(this)" href="javascript:()">GTARSKI5:def 22 : <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="gtarski2.html#NV5" title="GTARSKI2:NV.5">satisfying_Lower_Dimension_Axiom</a>   <a href="gtarski1.html#L1" title="GTARSKI1:struct.1">TarskiGeometryStruct</a> <br/>  for <font color="Olive" title="b2">E</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">S</font> holds <br/> ( <font color="Olive" title="b2">E</font> <a href="gtarski5.html#R13" title="GTARSKI5:pred.13">is_space3</a>  iff  ex <font color="Olive" title="b3">r</font> being   <a href="gtarski1.html#NM1" title="GTARSKI1:NM.1">POINT</a> of <font color="Olive" title="b1">S</font> ex <font color="Olive" title="b4">A</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">S</font> st <br/>( <font color="Olive" title="b4">A</font> <a href="gtarski5.html#R8" title="GTARSKI5:pred.8">is_plane</a>  &amp;  not <font color="Olive" title="b3">r</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b4">A</font> &amp; <font color="Olive" title="b2">E</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="gtarski5.html#K8" title="GTARSKI5:func.8">space3</a> (<font color="Olive" title="b4">A</font>,<font color="Olive" title="b3">r</font>) ) );<br/></span></div>
