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<span class="kw">consider </span><font color="Maroon" title="c3">L</font> being   <a href="finseq_1.html#NM1" title="FINSEQ_1:NM.1">FinSequence</a><span class="kw"> such that </span><br/><a NAME="E2:57_1_1"/><span class="lab"><font color="Green" title="E42">A1</font></span>: 
(  <a href="xtuple_0.html#K10" title="XTUPLE_0:func.10">rng</a> <font color="Maroon" title="c3">L</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="modelc_3.html#K1" title="MODELC_3:func.1">Subformulae</a> <font color="Maroon" title="c1">H</font> &amp; <font color="Maroon" title="c3">L</font> is  <a href="funct_1.html#V2" title="FUNCT_1:attr.2">one-to-one</a>  )
 <span class="kw">by</span> <span class="lab"><a class="ref" href="finseq_4.html#T58" onmouseover="rs('finseq_4/T58')" onmouseout="rh()">FINSEQ_4:58</a></span>;<br/>
<span class="kw">set </span><font color="Maroon" title="c4">IT</font> =  <a href="modelc_3.html#K17" title="MODELC_3:func.17">len</a> (<font color="Maroon" title="c3">L</font>,<font color="Maroon" title="c2">W</font>);<br/>
<span class="kw">take </span>
 <a href="modelc_3.html#K17" title="MODELC_3:func.17">len</a> (<font color="Maroon" title="c3">L</font>,<font color="Maroon" title="c2">W</font>)
; <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">  ex <font color="Olive" title="b1">L</font> being   <a href="finseq_1.html#NM1" title="FINSEQ_1:NM.1">FinSequence</a> st <br/>(  <a href="xtuple_0.html#K10" title="XTUPLE_0:func.10">rng</a> <font color="Olive" title="b1">L</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="modelc_3.html#K1" title="MODELC_3:func.1">Subformulae</a> <font color="Maroon" title="c1">H</font> &amp; <font color="Olive" title="b1">L</font> is  <a href="funct_1.html#V2" title="FUNCT_1:attr.2">one-to-one</a>  &amp;  <a href="modelc_3.html#K17" title="MODELC_3:func.17">len</a> (<font color="Maroon" title="c3">L</font>,<font color="Maroon" title="c2">W</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="modelc_3.html#K17" title="MODELC_3:func.17">len</a> (<font color="Olive" title="b1">L</font>,<font color="Maroon" title="c2">W</font>) )</span><br/>

<span class="kw">thus </span><a NAME="E3:57_1_1"/>
 ex <font color="Olive" title="b1">L</font> being   <a href="finseq_1.html#NM1" title="FINSEQ_1:NM.1">FinSequence</a> st <br/>(  <a href="xtuple_0.html#K10" title="XTUPLE_0:func.10">rng</a> <font color="Olive" title="b1">L</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="modelc_3.html#K1" title="MODELC_3:func.1">Subformulae</a> <font color="Maroon" title="c1">H</font> &amp; <font color="Olive" title="b1">L</font> is  <a href="funct_1.html#V2" title="FUNCT_1:attr.2">one-to-one</a>  &amp;  <a href="modelc_3.html#K17" title="MODELC_3:func.17">len</a> (<font color="Maroon" title="c3">L</font>,<font color="Maroon" title="c2">W</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="modelc_3.html#K17" title="MODELC_3:func.17">len</a> (<font color="Olive" title="b1">L</font>,<font color="Maroon" title="c2">W</font>) )
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:57_1_1"><span class="lab"><font color="Green" title="E42">A1</font></span></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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