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<span class="kw">let </span><font color="Maroon" title="c4">f</font> be   <a href="funct_1.html#NM1" title="FUNCT_1:NM.1">Function</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c4">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">M</font> <a href="partfun1.html#K7" title="PARTFUN1:func.7">/.</a> <font color="Maroon" title="c3">k</font> implies ( <font color="Maroon" title="c4">f</font> is  <a href="finseq_1.html#V1" title="FINSEQ_1:attr.1">FinSequence-like</a>  &amp; <font color="Maroon" title="c4">f</font> is <font color="Maroon" title="c1">D</font> <a href="relat_1.html#V5" title="RELAT_1:attr.5">-valued</a>  ) )</span><br/>

<span class="kw">assume </span><a NAME="E1:111_1_1"/><span class="lab"><font color="Green" title="E53">Z</font></span>: 
<font color="Maroon" title="c4">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">M</font> <a href="partfun1.html#K7" title="PARTFUN1:func.7">/.</a> <font color="Maroon" title="c3">k</font>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c4">f</font> is  <a href="finseq_1.html#V1" title="FINSEQ_1:attr.1">FinSequence-like</a>  &amp; <font color="Maroon" title="c4">f</font> is <font color="Maroon" title="c1">D</font> <a href="relat_1.html#V5" title="RELAT_1:attr.5">-valued</a>  )</span><br/>

<a NAME="E2:111_1_1"/><span class="lab"><font color="Green" title="E54">B</font></span>: 
<font color="Maroon" title="c4">f</font> is    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon" title="c1">D</font> <a href="finseq_1.html#K13" title="FINSEQ_1:func.13">*</a> 
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:111_1_1"><span class="lab"><font color="Green" title="E53">Z</font></span></a></span>;<br/>
<a NAME="E3:111_1_1"/><span class="kw">then </span>
<font color="Maroon" title="c4">f</font> is    <a href="finseq_1.html#M2" title="FINSEQ_1:mode.2">FinSequence</a> of <font color="Maroon" title="c1">D</font>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="finseq_1.html#D11" title="FINSEQ_1:def.11">FINSEQ_1:def 11</a></span>;<br/>
<a NAME="E4:111_1_1"/><span class="kw">then </span><span class="lab"><font color="Green" title="E55">C</font></span>: 
<font color="Maroon" title="c4">f</font> is <font color="Maroon" title="c1">D</font> <a href="relat_1.html#V5" title="RELAT_1:attr.5">-valued</a> 
 
;<br/>
<a NAME="E5:111_1_1"/>
<font color="Maroon" title="c4">f</font> is  <a href="finseq_1.html#V1" title="FINSEQ_1:attr.1">FinSequence-like</a> 
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:111_1_1"><span class="lab"><font color="Green" title="E54">B</font></span></a></span>;<br/>
<span class="kw">hence </span><a NAME="E6:111_1_1"/>
( <font color="Maroon" title="c4">f</font> is  <a href="finseq_1.html#V1" title="FINSEQ_1:attr.1">FinSequence-like</a>  &amp; <font color="Maroon" title="c4">f</font> is <font color="Maroon" title="c1">D</font> <a href="relat_1.html#V5" title="RELAT_1:attr.5">-valued</a>  )
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E4:111_1_1"><span class="lab"><font color="Green" title="E55">C</font></span></a></span>; <a class="txt" 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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