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<span class="kw">take </span>
<font color="Maroon" title="c3">r</font>
; <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">  ex <font color="Olive" title="b1">f</font> being    <a href="finseq_1.html#M2" title="FINSEQ_1:mode.2">FinSequence</a> of <a href="scm_inst.html#K2" title="SCM_INST:func.2">SCM-Data-Loc</a> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> <a href="numbers.html#K4" title="NUMBERS:func.4">INT</a> st <br/>( <font color="Olive" title="b1">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c1">x</font> <a href="xtuple_0.html#NK6" title="XTUPLE_0:NK.6">`3_3</a>  &amp; <font color="Maroon" title="c3">r</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">f</font> <a href="partfun1.html#K7" title="PARTFUN1:func.7">/.</a> 2 )</span><br/>

<span class="kw">take </span>
<span class="p1"><a href="scmpds_i.html#K2" title="SCMPDS_I:func.2">&lt;*</a><span class="default"><font color="Maroon" title="c2">mk</font>,<font color="Maroon" title="c3">r</font></span><a href="scmpds_i.html#K2" title="SCMPDS_I:func.2">*&gt;</a></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"> ( <span class="p1"><a href="scmpds_i.html#K2" title="SCMPDS_I:func.2">&lt;*</a><span class="default"><font color="Maroon" title="c2">mk</font>,<font color="Maroon" title="c3">r</font></span><a href="scmpds_i.html#K2" title="SCMPDS_I:func.2">*&gt;</a></span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c1">x</font> <a href="xtuple_0.html#NK6" title="XTUPLE_0:NK.6">`3_3</a>  &amp; <font color="Maroon" title="c3">r</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="scmpds_i.html#K2" title="SCMPDS_I:func.2">&lt;*</a><span class="default"><font color="Maroon" title="c2">mk</font>,<font color="Maroon" title="c3">r</font></span><a href="scmpds_i.html#K2" title="SCMPDS_I:func.2">*&gt;</a></span> <a href="partfun1.html#K7" title="PARTFUN1:func.7">/.</a> 2 )</span><br/>

<a NAME="E1:11_2_1"/>
<font color="Maroon" title="c3">r</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="numbers.html#K4" title="NUMBERS:func.4">INT</a> 
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="int_1.html#D2" onmouseover="rs('int_1/D2')" onmouseout="rh()">INT_1:def 2</a></span>;<br/>
<a NAME="E2:11_2_1"/><span class="kw">then </span>
( <font color="Maroon" title="c2">mk</font> is    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <a href="scm_inst.html#K2" title="SCM_INST:func.2">SCM-Data-Loc</a> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> <a href="numbers.html#K4" title="NUMBERS:func.4">INT</a> &amp; <font color="Maroon" title="c3">r</font> is    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <a href="scm_inst.html#K2" title="SCM_INST:func.2">SCM-Data-Loc</a> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> <a href="numbers.html#K4" title="NUMBERS:func.4">INT</a> )
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="xboole_0.html#D3" onmouseover="rs('xboole_0/D3')" onmouseout="rh()">XBOOLE_0:def 3</a></span>;<br/>
<span class="kw">hence </span><a NAME="E3:11_2_1"/>
( <span class="p1"><a href="scmpds_i.html#K2" title="SCMPDS_I:func.2">&lt;*</a><span class="default"><font color="Maroon" title="c2">mk</font>,<font color="Maroon" title="c3">r</font></span><a href="scmpds_i.html#K2" title="SCMPDS_I:func.2">*&gt;</a></span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c1">x</font> <a href="xtuple_0.html#NK6" title="XTUPLE_0:NK.6">`3_3</a>  &amp; <font color="Maroon" title="c3">r</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="scmpds_i.html#K2" title="SCMPDS_I:func.2">&lt;*</a><span class="default"><font color="Maroon" title="c2">mk</font>,<font color="Maroon" title="c3">r</font></span><a href="scmpds_i.html#K2" title="SCMPDS_I:func.2">*&gt;</a></span> <a href="partfun1.html#K7" title="PARTFUN1:func.7">/.</a> 2 )
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:11"><span class="lab"><font color="Green" title="E5">A1</font></span></a>, <a class="ref" href="finseq_4.html#T17" onmouseover="rs('finseq_4/T17')" onmouseout="rh()">FINSEQ_4:17</a></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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