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<span class="kw">set </span><font color="Maroon" title="c5">C</font> =  the   <a href="funct_1.html#V3" title="FUNCT_1:attr.3">constant</a>  <a href="topalg_1.html#NM1" title="TOPALG_1:NM.1">Loop</a> of <font color="Maroon" title="c4">a</font>;<br/>
<span class="kw">set </span><font color="Maroon" title="c6">E</font> =  <a href="topalg_1.html#K4" title="TOPALG_1:func.4">EqRel</a> (<font color="Maroon" title="c3">T</font>,<font color="Maroon" title="c4">a</font>);<br/>
<a NAME="E1:12_1_1"/>
 the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <span class="p1">(<span class="default"><a href="topalg_1.html#NK6" title="TOPALG_1:NK.6">pi_1</a> (<font color="Maroon" title="c3">T</font>,<font color="Maroon" title="c4">a</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="eqrel_1.html#K8" title="EQREL_1:func.8">Class</a> <span class="p1">(<span class="default"><a href="topalg_1.html#K4" title="TOPALG_1:func.4">EqRel</a> (<font color="Maroon" title="c3">T</font>,<font color="Maroon" title="c4">a</font>)</span>)</span>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="topalg_1.html#D5" onmouseover="rs('topalg_1/D5')" onmouseout="rh()">TOPALG_1:def 5</a></span>;<br/>
<a NAME="E2:12_1_1"/><span class="kw">then </span>
<span class="p1"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><span class="p2">(<span class="default"><a href="eqrel_1.html#K6" title="EQREL_1:func.6">Class</a> (<span class="p3">(<span class="default"><a href="topalg_1.html#K4" title="TOPALG_1:func.4">EqRel</a> (<font color="Maroon" title="c3">T</font>,<font color="Maroon" title="c4">a</font>)</span>)</span>, the   <a href="funct_1.html#V3" title="FUNCT_1:attr.3">constant</a>  <a href="topalg_1.html#NM1" title="TOPALG_1:NM.1">Loop</a> of <font color="Maroon" title="c4">a</font>)</span>)</span></span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="eqrel_1.html#K8" title="EQREL_1:func.8">Class</a> <span class="p1">(<span class="default"><a href="topalg_1.html#K4" title="TOPALG_1:func.4">EqRel</a> (<font color="Maroon" title="c3">T</font>,<font color="Maroon" title="c4">a</font>)</span>)</span>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="topalg_2.html#T3" target="_self" onmouseover="rs('topalg_2/T3')" onmouseout="rh()">Th3</a></span>;<br/>
<span class="kw">hence </span><a NAME="E3:12_1_1"/>
 <a href="topalg_1.html#NK6" title="TOPALG_1:NK.6">pi_1</a> (<font color="Maroon" title="c3">T</font>,<font color="Maroon" title="c4">a</font>) is  <a href="struct_0.html#V7" title="STRUCT_0:attr.7">trivial</a> 
 <span class="kw">by</span> <span class="lab"><a class="ref" href="topalg_1.html#D5" onmouseover="rs('topalg_1/D5')" onmouseout="rh()">TOPALG_1:def 5</a></span>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" 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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