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<b>let </b><font color="Maroon" title="c1">BL</font> be  non <a href="struct_0.html#V7" title="STRUCT_0:attr.7">trivial</a> <a href="lattices.html#NM8" title="LATTICES:NM.8">B_Lattice</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide">  <a href="lopclset.html#K13" title="LOPCLSET:func.13">UFilter</a> <font color="Maroon" title="c1">BL</font> is <a href="funct_2.html#V3" title="FUNCT_2:attr.3">bijective</a></span><br/>

<a NAME="E1:43"/>
 <a href="lopclset.html#K13" title="LOPCLSET:func.13">UFilter</a> <font color="Maroon" title="c1">BL</font> is <a href="funct_1.html#V2" title="FUNCT_1:attr.2">one-to-one</a>
 
<b>by </b><i><a class="ref" href="lopclset.html#T29" target="_self" title="LOPCLSET:th.29">Th29</a></i>;<br/>
<a NAME="E2:43"/><b>then </b><i><font color="Green" title="E32">A1</font></i>: 
 <a href="lopclset.html#K13" title="LOPCLSET:func.13">UFilter</a> <font color="Maroon" title="c1">BL</font> is <a href="funct_1.html#V2" title="FUNCT_1:attr.2">one-to-one</a>
 
;<br/>
<a NAME="E3:43"/>
 <a href="relset_1.html#K5" title="RELSET_1:func.5">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>
 
<b>by </b><i><a class="ref" href="lopclset.html#T41" target="_self" title="LOPCLSET:th.41">Th41</a></i>;<br/>
<a NAME="E4:43"/><b>then </b>
 <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>
 
<b>by </b><i><a class="ref" href="funct_2.html#D3" title="FUNCT_2:def.3">FUNCT_2:def 3</a></i>;<br/>
<b>hence </b><a NAME="E5:43"/>
 <a href="lopclset.html#K13" title="LOPCLSET:func.13">UFilter</a> <font color="Maroon" title="c1">BL</font> is <a href="funct_2.html#V3" title="FUNCT_2:attr.3">bijective</a>
 <b>by </b><i><a class="txt" href="#E2:43"><i><font color="Green" title="E32">A1</font></i></a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


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