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<a NAME="E1:40_1_1"/>
 <a href="pcomps_1.html#K4" title="PCOMPS_1:func.4">SpaceMetr</a> <span class="p1">(<span class="default"><a href="euclid.html#K1" title="EUCLID:func.1">REAL</a> <font color="Maroon" title="c1">n</font></span>)</span>,<span class="p1">(<span class="default"><a href="euclid.html#K13" title="EUCLID:func.13">Pitag_dist</a> <font color="Maroon" title="c1">n</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="metric_1.html#G1" title="METRIC_1:aggr.1">MetrStruct</a>(# <span class="p1">(<span class="default"><a href="euclid.html#K1" title="EUCLID:func.1">REAL</a> <font color="Maroon" title="c1">n</font></span>)</span>,<span class="p1">(<span class="default"><a href="euclid.html#K13" title="EUCLID:func.13">Pitag_dist</a> <font color="Maroon" title="c1">n</font></span>)</span> #)
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="euclid.html#T24" target="_self" title="EUCLID:th.24">Th24</a>, <a class="ref" href="pcomps_1.html#D8" title="PCOMPS_1:def.8">PCOMPS_1:def 8</a></span>;<br/>
<span class="kw">hence </span><a NAME="E2:40_1_1"/>
 <a href="metric_1.html#G1" title="METRIC_1:aggr.1">MetrStruct</a>(# <span class="p1">(<span class="default"><a href="euclid.html#K1" title="EUCLID:func.1">REAL</a> <font color="Maroon" title="c1">n</font></span>)</span>,<span class="p1">(<span class="default"><a href="euclid.html#K13" title="EUCLID:func.13">Pitag_dist</a> <font color="Maroon" title="c1">n</font></span>)</span> #) is   <a href="metric_1.html#V1" title="METRIC_1:attr.1">strict</a>  <a href="metric_1.html#NM1" title="METRIC_1:NM.1">MetrSpace</a>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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