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<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="43_1_1_1"><span class="kw">now </span></a><div class="add"><span class="kw">thus </span><a NAME="E1:43_1_1_1"/>
 <a href="openlatt.html#K16" title="OPENLATT:func.16">StoneH</a> <font color="Maroon" title="c1">L</font> is  <a href="funct_1.html#V2" title="FUNCT_1:attr.2">one-to-one</a> 
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  <a href="openlatt.html#K16" title="OPENLATT:func.16">StoneH</a> <font color="Maroon" title="c1">L</font> is  <a href="funct_2.html#V2" title="FUNCT_2:attr.2">onto</a> </span><br/><span class="kw">thus </span><a NAME="E2:43_1_1_1"/>
 <a href="openlatt.html#K16" title="OPENLATT:func.16">StoneH</a> <font color="Maroon" title="c1">L</font> is  <a href="funct_2.html#V2" title="FUNCT_2:attr.2">onto</a> 
  <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><div><a class="txt" onclick="hs2(this)" href="javascript:()" title="43_1_1_1_1"><span class="kw">proof </span></a><div class="add">

<span class="kw">thus </span><a NAME="E1:43_1_1_1_1"/>
 <a href="relat_1.html#K2" title="RELAT_1:func.2">rng</a> <span class="p1">(<span class="default"><a href="openlatt.html#K16" title="OPENLATT:func.16">StoneH</a> <font color="Maroon" title="c1">L</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="openlatt.html#K15" title="OPENLATT:func.15">StoneLatt</a> <font color="Maroon" title="c1">L</font></span>)</span>
 ; <span class="comment"><font color="firebrick">:: according to </font></span><a class="ref" href="funct_2.html#D3" title="FUNCT_2:def.3">FUNCT_2:def 3</a> <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


</div><span class="kw">end;</span></div></div><span class="kw">end;</span></div>
<span class="kw">hence </span><a NAME="E2:43_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">L</font>,<span class="p1">(<span class="default"><a href="openlatt.html#K15" title="OPENLATT:func.15">StoneLatt</a> <font color="Maroon" title="c1">L</font></span>)</span>  st <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="openlatt.html#K16" title="OPENLATT:func.16">StoneH</a> <font color="Maroon" title="c1">L</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> 
 <span class="kw">by</span> <span class="lab"><a class="ref" href="funct_2.html#D4" title="FUNCT_2:def.4">FUNCT_2:def 4</a></span>; <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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