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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E31">Def7</font></span>   defines <a href="taxonom1.html#K3" title="TAXONOM1:func.3">dist_toler</a> <a onclick="hs(this)" href="javascript:()">TAXONOM1:def 7 : <br/></a><span> for <font color="Olive" title="b1">M</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="metric_1.html#L1" title="METRIC_1:struct.1">MetrStruct</a> <br/>  for <font color="Olive" title="b2">a</font> being   <a href="xreal_0.html#NM1" title="XREAL_0:NM.1">Real</a><br/>  for <font color="Olive">b<sub>3</sub></font> being   <a href="alg_1.html#NM1" title="ALG_1:NM.1">Relation</a> of <font color="Olive" title="b1">M</font> holds <br/> ( <font color="Olive">b<sub>3</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="taxonom1.html#K3" title="TAXONOM1:func.3">dist_toler</a> (<font color="Olive" title="b1">M</font>,<font color="Olive" title="b2">a</font>) iff  for <font color="Olive" title="b4">x</font>, <font color="Olive" title="b5">y</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">M</font> holds <br/> ( <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><font color="Olive" title="b4">x</font>,<font color="Olive" title="b5">y</font></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Olive">b<sub>3</sub></font> iff <font color="Olive" title="b4">x</font>,<font color="Olive" title="b5">y</font> <a href="taxonom1.html#R1" title="TAXONOM1:pred.1">are_in_tolerance_wrt</a> <font color="Olive" title="b2">a</font> ) );<br/></span></div>
