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<a NAME="E1:220_1_1"/>
 <a href="pcs_0.html#K28" title="PCS_0:func.28">pcs-coherent-power</a> <font color="Maroon" title="c3">P</font> is  <a href="pcs_0.html#V22" title="PCS_0:attr.22">pcs-self-coherent-membered</a> 
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="220_1_1_1"><span class="kw">proof </span></a><div class="add">

<span class="kw">let </span><font color="Maroon" title="c4">S</font> be   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Maroon" title="c3">P</font>; <span class="comment"><font color="Red">:: according to </font></span><a class="ref" href="pcs_0.html#D44" target="_self" title="PCS_0:def.44">PCS_0:def 44</a> <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="c4">S</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="pcs_0.html#K28" title="PCS_0:func.28">pcs-coherent-power</a> <font color="Maroon" title="c3">P</font> implies <font color="Maroon" title="c4">S</font> is  <a href="pcs_0.html#V21" title="PCS_0:attr.21">pcs-self-coherent</a>  )</span><br/>

<span class="kw">thus </span><a NAME="E1:220_1_1_1"/>
( <font color="Maroon" title="c4">S</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="pcs_0.html#K28" title="PCS_0:func.28">pcs-coherent-power</a> <font color="Maroon" title="c3">P</font> implies <font color="Maroon" title="c4">S</font> is  <a href="pcs_0.html#V21" title="PCS_0:attr.21">pcs-self-coherent</a>  )
 <span class="kw">by</span> <span class="lab"><a class="ref" href="pcs_0.html#T48" target="_self" title="PCS_0:th.48">Th48</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/>


</div><span class="kw">end;</span></div>
<span class="kw">hence </span><a NAME="E2:220_1_1"/>
for <font color="Olive">b<sub>1</sub></font> being  <a href="struct_0.html#NM3" title="STRUCT_0:NM.3">Subset-Family</a> of <font color="Maroon" title="c3">P</font>  st <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="pcs_0.html#K28" title="PCS_0:func.28">pcs-coherent-power</a> <font color="Maroon" title="c3">P</font> holds <br/><font color="Olive">b<sub>1</sub></font> is  <a href="pcs_0.html#V22" title="PCS_0:attr.22">pcs-self-coherent-membered</a> 
 ; <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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