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<span class="kw">let </span><font color="Maroon" title="c2">x</font>, <font color="Maroon" title="c3">y</font> be    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of 2; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <a href="metric_1.html#K12" title="METRIC_1:func.12">Set_to_zero</a> <a href="metric_1.html#K1" title="METRIC_1:func.1">.</a> (<font color="Maroon" title="c2">x</font>,<font color="Maroon" title="c3">y</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <a href="metric_1.html#K12" title="METRIC_1:func.12">Set_to_zero</a> <a href="metric_1.html#K1" title="METRIC_1:func.1">.</a> (<font color="Maroon" title="c3">y</font>,<font color="Maroon" title="c2">x</font>)</span><br/>

<a href="metric_1.html#K12" title="METRIC_1:func.12">Set_to_zero</a> <a href="metric_1.html#K1" title="METRIC_1:func.1">.</a> (<font color="Maroon" title="c2">x</font>,<font color="Maroon" title="c3">y</font>) = 
 <a href="numbers.html#K6" title="NUMBERS:func.6">0</a> 
<span class="kw">by</span> <span class="lab"><a class="ref" href="metric_1.html#T27" target="_self" title="METRIC_1:th.27">Th28</a></span>
<br/>.= 
<a href="metric_1.html#K12" title="METRIC_1:func.12">Set_to_zero</a> <a href="metric_1.html#K1" title="METRIC_1:func.1">.</a> (<font color="Maroon" title="c3">y</font>,<font color="Maroon" title="c2">x</font>)
<span class="kw">by</span> <span class="lab"><a class="ref" href="metric_1.html#T27" target="_self" title="METRIC_1:th.27">Th28</a></span>
;<br/>
<span class="kw">hence </span><a NAME="E2:64"/>
<a href="metric_1.html#K12" title="METRIC_1:func.12">Set_to_zero</a> <a href="metric_1.html#K1" title="METRIC_1:func.1">.</a> (<font color="Maroon" title="c2">x</font>,<font color="Maroon" title="c3">y</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <a href="metric_1.html#K12" title="METRIC_1:func.12">Set_to_zero</a> <a href="metric_1.html#K1" title="METRIC_1:func.1">.</a> (<font color="Maroon" title="c3">y</font>,<font color="Maroon" title="c2">x</font>)
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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