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<span class="kw">set </span><font color="Maroon" title="c2">i</font> =  the    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="rvsum_3.html#K5" title="RVSUM_3:func.5">MeanLess</a> <font color="Maroon" title="c1">f</font>;<br/>
<span class="kw">set </span><font color="Maroon" title="c3">j</font> =  the    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="rvsum_3.html#K6" title="RVSUM_3:func.6">MeanMore</a> <font color="Maroon" title="c1">f</font>;<br/>
<span class="kw">reconsider </span><font color="Maroon" title="c4">i</font> =  the    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="rvsum_3.html#K5" title="RVSUM_3:func.5">MeanLess</a> <font color="Maroon" title="c1">f</font>, <font color="Maroon" title="c5">j</font> =  the    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="rvsum_3.html#K6" title="RVSUM_3:func.6">MeanMore</a> <font color="Maroon" title="c1">f</font> as   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a> ;<br/>
<a NAME="E2:67_1_1"/>
 <a href="rvsum_3.html#K7" title="RVSUM_3:func.7">Replace</a> (<font color="Maroon" title="c1">f</font>,<font color="Maroon" title="c4">i</font>,<font color="Maroon" title="c5">j</font>,<span class="p1">(<span class="default"><a href="rvsum_3.html#K1" title="RVSUM_3:func.1">Mean</a> <font color="Maroon" title="c1">f</font></span>)</span>,<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c1">f</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c4">i</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <span class="p3">(<span class="default"><font color="Maroon" title="c1">f</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c5">j</font></span>)</span></span>)</span> <a href="xcmplx_0.html#K6" title="XCMPLX_0:func.6">-</a> <span class="p2">(<span class="default"><a href="rvsum_3.html#K1" title="RVSUM_3:func.1">Mean</a> <font color="Maroon" title="c1">f</font></span>)</span></span>)</span>) is   <a href="valued_0.html#V3" title="VALUED_0:attr.3">real-valued</a>  <a href="finseq_1.html#NM1" title="FINSEQ_1:NM.1">FinSequence</a>
 
;<br/>
<span class="kw">hence </span><a NAME="E3:67_1_1"/>
 ex <font color="Olive">b<sub>1</sub></font> being   <a href="valued_0.html#V3" title="VALUED_0:attr.3">real-valued</a>  <a href="finseq_1.html#NM1" title="FINSEQ_1:NM.1">FinSequence</a> ex <font color="Olive" title="b2">i</font>, <font color="Olive" title="b3">j</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a> st <br/>( <font color="Olive" title="b2">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  the    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="rvsum_3.html#K5" title="RVSUM_3:func.5">MeanLess</a> <font color="Maroon" title="c1">f</font> &amp; <font color="Olive" title="b3">j</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  the    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="rvsum_3.html#K6" title="RVSUM_3:func.6">MeanMore</a> <font color="Maroon" title="c1">f</font> &amp; <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="rvsum_3.html#K7" title="RVSUM_3:func.7">Replace</a> (<font color="Maroon" title="c1">f</font>,<font color="Olive" title="b2">i</font>,<font color="Olive" title="b3">j</font>,<span class="p1">(<span class="default"><a href="rvsum_3.html#K1" title="RVSUM_3:func.1">Mean</a> <font color="Maroon" title="c1">f</font></span>)</span>,<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c1">f</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b2">i</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <span class="p3">(<span class="default"><font color="Maroon" title="c1">f</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b3">j</font></span>)</span></span>)</span> <a href="xcmplx_0.html#K6" title="XCMPLX_0:func.6">-</a> <span class="p2">(<span class="default"><a href="rvsum_3.html#K1" title="RVSUM_3:func.1">Mean</a> <font color="Maroon" title="c1">f</font></span>)</span></span>)</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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