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<span class="kw">consider </span><font color="Maroon" title="c1">S</font> being   <a href="seqfunc.html#NM1" title="SEQFUNC:NM.1">Functional_Sequence</a> of <a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a> ,<a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a> <span class="kw"> such that </span><br/><a NAME="E2:56_1_1"/><span class="lab"><font color="Green" title="E26">A1</font></span>: 
for <font color="Olive" title="b1">n</font> being   <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>  holds  <font color="Maroon" title="c1">S</font> <a href="seqfunc.html#K1" title="SEQFUNC:func.1">.</a> <font color="Olive" title="b1">n</font> is   <a href="seq_1.html#NM1" title="SEQ_1:NM.1">Real_Sequence</a>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="diff_1.html#E52"><span class="lab"><font color="Green" title="E25">Lm4</font></span></a></span>;<br/>
<span class="kw">take </span>
<font color="Maroon" title="c1">S</font>
; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> <font color="Maroon" title="c1">S</font> is  <a href="diff_1.html#V1" title="DIFF_1:attr.1">Sequence-yielding</a> </span><br/>

<span class="kw">thus </span><a NAME="E3:56_1_1"/>
<font color="Maroon" title="c1">S</font> is  <a href="diff_1.html#V1" title="DIFF_1:attr.1">Sequence-yielding</a> 
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:56_1_1"><span class="lab"><font color="Green" title="E26">A1</font></span></a>, <a class="ref" href="diff_1.html#D12" target="_self" title="DIFF_1:def.12">Def12</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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