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<a NAME="E1:43_1_1"/>
 <a href="relset_1.html#K2" title="RELSET_1:func.2">rng</a> <span class="p1">(<span class="default"><a href="lopclset.html#K13" title="LOPCLSET:func.13">UFilter</a> <font color="Maroon" title="c1">BL</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <span class="p1">(<span class="default"><a href="lopclset.html#K12" title="LOPCLSET:func.12">StoneBLattice</a> <font color="Maroon" title="c1">BL</font></span>)</span>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="lopclset.html#T34" target="_self" onmouseover="rs('lopclset/T34')" onmouseout="rh()">Th34</a></span>;<br/>
<a NAME="E2:43_1_1"/><span class="kw">then </span>
 <a href="lopclset.html#K13" title="LOPCLSET:func.13">UFilter</a> <font color="Maroon" title="c1">BL</font> is  <a href="funct_2.html#V2" title="FUNCT_2:attr.2">onto</a> 
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="funct_2.html#D3" onmouseover="rs('funct_2/D3')" onmouseout="rh()">FUNCT_2:def 3</a></span>;<br/>
<span class="kw">hence </span><a NAME="E3:43_1_1"/>
 for <font color="Olive">b<sub>1</sub></font> being   <a href="struct_0.html#NM6" title="STRUCT_0:NM.6">Function</a> of <font color="Maroon" title="c1">BL</font>,<span class="p1">(<span class="default"><a href="lopclset.html#K12" title="LOPCLSET:func.12">StoneBLattice</a> <font color="Maroon" title="c1">BL</font></span>)</span>  st <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="lopclset.html#K13" title="LOPCLSET:func.13">UFilter</a> <font color="Maroon" title="c1">BL</font> holds <br/><font color="Olive">b<sub>1</sub></font> is  <a href="funct_2.html#V3" title="FUNCT_2:attr.3">bijective</a> 
 ; <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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