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<span class="kw">let </span><font color="Maroon" title="c1">g1</font>, <font color="Maroon" title="c2">g2</font> be   <a href="valued_0.html#V3" title="VALUED_0:attr.3">real-valued</a>   <a href="valued_0.html#V9" title="VALUED_0:attr.9">non-decreasing</a>  <a href="finseq_1.html#NM1" title="FINSEQ_1:NM.1">FinSequence</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"> ( <font color="Maroon" title="c1">g1</font>,<font color="Maroon" title="c2">g2</font> <a href="classes1.html#R2" title="CLASSES1:pred.2">are_fiberwise_equipotent</a>  implies <font color="Maroon" title="c1">g1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">g2</font> )</span><br/>

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 <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c1">g1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c1">g1</font>
 
;<br/>
<span class="kw">hence </span><a NAME="E2:27"/>
( <font color="Maroon" title="c1">g1</font>,<font color="Maroon" title="c2">g2</font> <a href="classes1.html#R2" title="CLASSES1:pred.2">are_fiberwise_equipotent</a>  implies <font color="Maroon" title="c1">g1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">g2</font> )
 <span class="kw">by</span> <span class="lab"><a class="txt" href="rfinseq2.html#E27"><span class="lab"><font color="Green" title="E14">Lm4</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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