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<span class="kw">consider </span><font color="Maroon" title="c2">s</font> being    <a href="finseq_1.html#M2" title="FINSEQ_1:mode.2">FinSequence</a> of <font color="Maroon" title="c1">S</font><span class="kw"> such that </span><br/><a NAME="E2:44_1_1"/><span class="lab"><font color="Green" title="E33">A1</font></span>: 
<font color="Maroon" title="c2">s</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="uproots.html#K1" title="UPROOTS:func.1">canFS</a> <font color="Maroon" title="c1">S</font>
 ;<br/>
<span class="kw">consider </span><font color="Maroon" title="c3">CS</font> being  non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>  <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <span class="p1">(<span class="default"><font color="Maroon" title="c1">S</font> <a href="finseq_2.html#K3" title="FINSEQ_2:func.3">*</a> </span>)</span><span class="kw"> such that </span><br/><a NAME="E4:44_1_1"/><span class="lab"><font color="Green" title="E34">A2</font></span>: 
<font color="Maroon" title="c3">CS</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="dist_1.html#K6" title="DIST_1:func.6">Finseq-EQclass</a> <font color="Maroon" title="c2">s</font>
 ;<br/>
<span class="kw">reconsider </span><font color="Maroon" title="c4">CS</font> = <font color="Maroon" title="c3">CS</font> as    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="dist_1.html#K7" title="DIST_1:func.7">distribution_family</a> <font color="Maroon" title="c1">S</font> <span class="kw">by</span> <span class="lab"><a class="txt" href="#E4:44_1_1"><span class="lab"><font color="Green" title="E34">A2</font></span></a>, <a class="ref" href="dist_1.html#D6" target="_self" title="DIST_1:def.6">Def6</a></span>;<br/>
<span class="kw">take </span>
<font color="Maroon" title="c4">CS</font>
; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> for <font color="Olive" title="b1">s</font> being   <a href="finseq_1.html#M2" title="FINSEQ_1:mode.2">FinSequence</a> of <font color="Maroon" title="c1">S</font> holds <br/> ( <font color="Olive" title="b1">s</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c4">CS</font> iff <font color="Olive" title="b1">s</font> <a href="dist_1.html#R2" title="DIST_1:pred.2">is_uniformly_distributed</a>  )</span><br/>

<a NAME="E6:44_1_1"/><span class="lab"><font color="Green" title="E35">A3</font></span>: 
<font color="Maroon" title="c2">s</font> <a href="dist_1.html#R2" title="DIST_1:pred.2">is_uniformly_distributed</a> 
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:44_1_1"><span class="lab"><font color="Green" title="E33">A1</font></span></a>, <a class="ref" href="dist_1.html#T26" target="_self" title="DIST_1:th.26">Th26</a></span>;<br/>
<a NAME="E7:44_1_1"/>
for <font color="Olive" title="b1">t</font> being   <a href="finseq_1.html#M2" title="FINSEQ_1:mode.2">FinSequence</a> of <font color="Maroon" title="c1">S</font>  st <font color="Olive" title="b1">t</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c4">CS</font> holds <br/><font color="Maroon" title="c2">s</font>,<font color="Olive" title="b1">t</font> <a href="dist_1.html#R1" title="DIST_1:pred.1">-are_prob_equivalent</a> 
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E4:44_1_1"><span class="lab"><font color="Green" title="E34">A2</font></span></a>, <a class="ref" href="dist_1.html#T7" target="_self" title="DIST_1:th.7">Th7</a></span>;<br/>
<a NAME="E8:44_1_1"/><span class="kw">then </span>
for <font color="Olive" title="b1">t</font> being   <a href="finseq_1.html#M2" title="FINSEQ_1:mode.2">FinSequence</a> of <font color="Maroon" title="c1">S</font>  st <font color="Olive" title="b1">t</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c4">CS</font> holds <br/><font color="Olive" title="b1">t</font> <a href="dist_1.html#R2" title="DIST_1:pred.2">is_uniformly_distributed</a> 
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E6:44_1_1"><span class="lab"><font color="Green" title="E35">A3</font></span></a>, <a class="ref" href="dist_1.html#T24" target="_self" title="DIST_1:th.24">Th24</a></span>;<br/>
<span class="kw">hence </span><a NAME="E9:44_1_1"/>
for <font color="Olive" title="b1">s</font> being   <a href="finseq_1.html#M2" title="FINSEQ_1:mode.2">FinSequence</a> of <font color="Maroon" title="c1">S</font> holds <br/> ( <font color="Olive" title="b1">s</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c4">CS</font> iff <font color="Olive" title="b1">s</font> <a href="dist_1.html#R2" title="DIST_1:pred.2">is_uniformly_distributed</a>  )
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E6:44_1_1"><span class="lab"><font color="Green" title="E35">A3</font></span></a>, <a class="txt" href="#E4:44_1_1"><span class="lab"><font color="Green" title="E34">A2</font></span></a>, <a class="txt" href="dist_1.html#E40"><span class="lab"><font color="Green" title="E32">Lm3</font></span></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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