<?xml version="1.0"?>
<div class="add">

<b>consider </b><font color="Maroon" title="c1">a</font> being   <a href="binop_1.html#NM2" title="BINOP_1:NM.2">BinOp</a> of <span class="p1"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default">0</span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span>;<br/>
<b>reconsider </b><font color="Maroon" title="c2">z</font> = 0 as    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <span class="p1"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default">0</span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span> <b>by </b><i><a class="ref" href="tarski.html#D1" title="TARSKI:def.1">TARSKI:def 1</a></i>;<br/>
<b>take </b>
 <a href="vectsp_1.html#G3" title="VECTSP_1:aggr.3">doubleLoopStr</a>(# <span class="p1"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default">0</span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span>,<font color="Maroon" title="c1">a</font>,<font color="Maroon" title="c1">a</font>,<font color="Maroon" title="c2">z</font>,<font color="Maroon" title="c2">z</font> #)
;<br/>

<b>thus </b><a NAME="E3:10_1_1"/>
(  <a href="vectsp_1.html#G3" title="VECTSP_1:aggr.3">doubleLoopStr</a>(# <span class="p1"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default">0</span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span>,<font color="Maroon" title="c1">a</font>,<font color="Maroon" title="c1">a</font>,<font color="Maroon" title="c2">z</font>,<font color="Maroon" title="c2">z</font> #) is <a href="vectsp_1.html#V3" title="VECTSP_1:attr.3">strict</a> &amp;  <a href="vectsp_1.html#G3" title="VECTSP_1:aggr.3">doubleLoopStr</a>(# <span class="p1"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default">0</span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span>,<font color="Maroon" title="c1">a</font>,<font color="Maroon" title="c1">a</font>,<font color="Maroon" title="c2">z</font>,<font color="Maroon" title="c2">z</font> #) is <a href="realset2.html#V3" title="REALSET2:attr.3">trivial</a> &amp; not  <a href="vectsp_1.html#G3" title="VECTSP_1:aggr.3">doubleLoopStr</a>(# <span class="p1"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default">0</span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span>,<font color="Maroon" title="c1">a</font>,<font color="Maroon" title="c1">a</font>,<font color="Maroon" title="c2">z</font>,<font color="Maroon" title="c2">z</font> #) is <a href="struct_0.html#V3" title="STRUCT_0:attr.3">empty</a> )
 <b>by </b><i><a class="ref" href="realset2.html#D5" title="REALSET2:def.5">REALSET2:def 5</a>, <a class="ref" href="struct_0.html#D1" title="STRUCT_0:def.1">STRUCT_0:def 1</a></i>;<br/>


</div>
