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<b>let </b><font color="Maroon">M</font> be   <a href="sub_metr.html#NM1">PseudoMetricSpace</a>;<br/><b>let </b><font color="Maroon">x</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">M</font>, <font color="Maroon">y</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">M</font>;<br/>



<div><b>hereby </b>
<div class="add"><b>assume </b><a NAME="E1:13_1"/>
<font color="Maroon">x</font> <a href="metric_2.html#K1" target="_self">-neighbour</a>  <a href="hidden.html#R1">=</a> <font color="Maroon">y</font> <a href="metric_2.html#K1" target="_self">-neighbour</a> 
 ;<br/><a NAME="E2:13_1"/><b>then </b>
<font color="Maroon">x</font> <a href="hidden.html#R2">in</a> <font color="Maroon">y</font> <a href="metric_2.html#K1" target="_self">-neighbour</a> 
 <b>by </b><i/>;<br/><b>hence </b><a NAME="E3:13_1"/>
<font color="Maroon">x</font> <a href="metric_2.html#R3" target="_self">tolerates</a> <font color="Maroon">y</font>
 <b>by </b><i/>;<br/></div>
<b>end;</b></div>

<b>assume </b><a NAME="E2:13"/>
<font color="Maroon">x</font> <a href="metric_2.html#R3" target="_self">tolerates</a> <font color="Maroon">y</font>
 ;<br/>

<a NAME="E3:13"/><b>then </b>
<font color="Maroon">x</font> <a href="hidden.html#R2">in</a> <font color="Maroon">y</font> <a href="metric_2.html#K1" target="_self">-neighbour</a> 
 
;<br/>
<b>hence </b><a NAME="E4:13"/>
<font color="Maroon">x</font> <a href="metric_2.html#K1" target="_self">-neighbour</a>  <a href="hidden.html#R1">=</a> <font color="Maroon">y</font> <a href="metric_2.html#K1" target="_self">-neighbour</a> 
 <b>by </b><i/>;<br/>


</div>
