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<a NAME="E1:33"/>
( the <a href="struct_0.html#U1">carrier</a> of <a href="topmetr.html#K3" target="_self">R^1</a>  <a href="hidden.html#R1">=</a> the <a href="struct_0.html#U1">carrier</a> of <a href="pre_topc.html#G1">TopStruct</a>(# the <a href="struct_0.html#U1">carrier</a> of <a href="metric_1.html#K8">RealSpace</a> ,<span class="p1">(<span class="default"><a href="pcomps_1.html#K3">Family_open_set</a> <a href="metric_1.html#K8">RealSpace</a> </span>)</span> #) &amp; the <a href="struct_0.html#U1">carrier</a> of <a href="metric_1.html#K8">RealSpace</a>  <a href="hidden.html#R1">=</a> the <a href="struct_0.html#U1">carrier</a> of <a href="metric_1.html#G1">MetrStruct</a>(# <a href="numbers.html#K1">REAL</a> ,<a href="metric_1.html#K7">real_dist</a>  #) )
 
<b>by </b><i><a class="ref" href="metric_1.html#D14">METRIC_1:def 14</a>, <a class="ref" href="pcomps_1.html#D6">PCOMPS_1:def 6</a></i>;<br/>
<b>hence </b><a NAME="E2:33"/>
the <a href="struct_0.html#U1">carrier</a> of <a href="topmetr.html#K3" target="_self">R^1</a>  <a href="hidden.html#R1">=</a>  <a href="numbers.html#K1">REAL</a> 
 ;<br/>


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