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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E3">Def2</font></span>   defines <a href="jordan24.html#V1" title="JORDAN24:attr.1">isometric</a> <a onclick="hs(this)" href="javascript:()">JORDAN24:def 2 : <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">f</font> being   <a href="struct_0.html#NM6" title="STRUCT_0:NM.6">Function</a> of <span class="p1">(<span class="default"><a href="pcomps_1.html#K3" title="PCOMPS_1:func.3">TopSpaceMetr</a> <font color="Olive" title="b1">M</font></span>)</span>,<span class="p1">(<span class="default"><a href="pcomps_1.html#K3" title="PCOMPS_1:func.3">TopSpaceMetr</a> <font color="Olive" title="b1">M</font></span>)</span> holds <br/> ( <font color="Olive" title="b2">f</font> is  <a href="jordan24.html#V1" title="JORDAN24:attr.1">isometric</a>  iff  ex <font color="Olive" title="b3">g</font> being   <a href="vectmetr.html#V3" title="VECTMETR:attr.3">isometric</a>  <a href="struct_0.html#NM6" title="STRUCT_0:NM.6">Function</a> of <font color="Olive" title="b1">M</font>,<font color="Olive" title="b1">M</font> st <font color="Olive" title="b3">g</font> <a href="funct_2.html#R1" title="FUNCT_2:pred.1">=</a> <font color="Olive" title="b2">f</font> );<br/></span></div>
