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<b>take </b>
 <a href="metric_1.html#G1" title="METRIC_1:aggr.1">MetrStruct</a>(# <span class="p1"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a> </span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span>,<a href="metric_1.html#K3" title="METRIC_1:func.3">Empty^2-to-zero</a>  #)
;<br/>

<b>thus </b><a NAME="E1:13_1_1"/>
(  <a href="metric_1.html#G1" title="METRIC_1:aggr.1">MetrStruct</a>(# <span class="p1"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a> </span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span>,<a href="metric_1.html#K3" title="METRIC_1:func.3">Empty^2-to-zero</a>  #) is <a href="metric_1.html#V6" title="METRIC_1:attr.6">Reflexive</a> &amp;  <a href="metric_1.html#G1" title="METRIC_1:aggr.1">MetrStruct</a>(# <span class="p1"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a> </span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span>,<a href="metric_1.html#K3" title="METRIC_1:func.3">Empty^2-to-zero</a>  #) is <a href="sub_metr.html#V2" title="SUB_METR:attr.2">Discerning</a> &amp;  <a href="metric_1.html#G1" title="METRIC_1:aggr.1">MetrStruct</a>(# <span class="p1"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a> </span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span>,<a href="metric_1.html#K3" title="METRIC_1:func.3">Empty^2-to-zero</a>  #) is <a href="metric_1.html#V8" title="METRIC_1:attr.8">symmetric</a> &amp;  <a href="metric_1.html#G1" title="METRIC_1:aggr.1">MetrStruct</a>(# <span class="p1"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a> </span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span>,<a href="metric_1.html#K3" title="METRIC_1:func.3">Empty^2-to-zero</a>  #) is <a href="metric_1.html#V9" title="METRIC_1:attr.9">triangle</a> )
 ;<br/>


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