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<a NAME="E1:36_1_1"/>
 <a href="euclid.html#K13" target="_self">Pitag_dist</a> <font color="Maroon">n</font> <a href="pcomps_1.html#R1">is_metric_of</a>  <a href="euclid.html#K1" target="_self">REAL</a> <font color="Maroon">n</font>
 
<b>by </b><i/>;<br/>
<a NAME="E2:36_1_1"/><b>then </b>
 <a href="pcomps_1.html#K5">SpaceMetr</a> <span class="p1">(<span class="default"><a href="euclid.html#K1" target="_self">REAL</a> <font color="Maroon">n</font></span>)</span>,<span class="p1">(<span class="default"><a href="euclid.html#K13" target="_self">Pitag_dist</a> <font color="Maroon">n</font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="metric_1.html#G1">MetrStruct</a>(# <span class="p1">(<span class="default"><a href="euclid.html#K1" target="_self">REAL</a> <font color="Maroon">n</font></span>)</span>,<span class="p1">(<span class="default"><a href="euclid.html#K13" target="_self">Pitag_dist</a> <font color="Maroon">n</font></span>)</span> #)
 
<b>by </b><i><a class="ref" href="pcomps_1.html#D8">PCOMPS_1:def 8</a></i>;<br/>
<b>hence </b><a NAME="E3:36_1_1"/>
 <a href="metric_1.html#G1">MetrStruct</a>(# <span class="p1">(<span class="default"><a href="euclid.html#K1" target="_self">REAL</a> <font color="Maroon">n</font></span>)</span>,<span class="p1">(<span class="default"><a href="euclid.html#K13" target="_self">Pitag_dist</a> <font color="Maroon">n</font></span>)</span> #) is  <a href="metric_1.html#V1">strict</a> <a href="metric_1.html#NM1">MetrSpace</a>
 ;<br/>


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