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<span class="kw">consider </span><font color="Maroon" title="c2">J</font>, <font color="Maroon" title="c3">K</font>, <font color="Maroon" title="c4">L</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">S</font><span class="kw"> such that </span><br/><a NAME="E2:154_1_1"/><span class="lab"><font color="Green" title="E57">A1</font></span>: 
( <font color="Maroon" title="c4">L</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1 &amp; <font color="Maroon" title="c3">K</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1 &amp; <font color="Maroon" title="c2">J</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c4">L</font> &amp; <font color="Maroon" title="c2">J</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c3">K</font> &amp;  the <a href="aofa_a00.html#U7" title="AOFA_A00:sel.7">connectives</a> of <font color="Maroon" title="c1">S</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> 11 <a href="aofa_a00.html#R1" title="AOFA_A00:pred.1">is_of_type</a> <span class="p1"><a href="finseq_4.html#K2" title="FINSEQ_4:func.2">&lt;*</a><span class="default"><font color="Maroon" title="c2">J</font>,<font color="Maroon" title="c3">K</font></span><a href="finseq_4.html#K2" title="FINSEQ_4:func.2">*&gt;</a></span>,<font color="Maroon" title="c4">L</font> &amp;  the <a href="aofa_a00.html#U7" title="AOFA_A00:sel.7">connectives</a> of <font color="Maroon" title="c1">S</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default">11 <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> 1</span>)</span> <a href="aofa_a00.html#R1" title="AOFA_A00:pred.1">is_of_type</a> <span class="p1"><a href="finseq_4.html#K3" title="FINSEQ_4:func.3">&lt;*</a><span class="default"><font color="Maroon" title="c2">J</font>,<font color="Maroon" title="c3">K</font>,<font color="Maroon" title="c4">L</font></span><a href="finseq_4.html#K3" title="FINSEQ_4:func.3">*&gt;</a></span>,<font color="Maroon" title="c2">J</font> &amp;  the <a href="aofa_a00.html#U7" title="AOFA_A00:sel.7">connectives</a> of <font color="Maroon" title="c1">S</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default">11 <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> 2</span>)</span> <a href="aofa_a00.html#R1" title="AOFA_A00:pred.1">is_of_type</a> <span class="p1"><a href="finseq_1.html#K12" title="FINSEQ_1:func.12">&lt;*</a><span class="default"><font color="Maroon" title="c2">J</font></span><a href="finseq_1.html#K12" title="FINSEQ_1:func.12">*&gt;</a></span>,<font color="Maroon" title="c3">K</font> &amp;  the <a href="aofa_a00.html#U7" title="AOFA_A00:sel.7">connectives</a> of <font color="Maroon" title="c1">S</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default">11 <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> 3</span>)</span> <a href="aofa_a00.html#R1" title="AOFA_A00:pred.1">is_of_type</a> <span class="p1"><a href="finseq_4.html#K2" title="FINSEQ_4:func.2">&lt;*</a><span class="default"><font color="Maroon" title="c3">K</font>,<font color="Maroon" title="c4">L</font></span><a href="finseq_4.html#K2" title="FINSEQ_4:func.2">*&gt;</a></span>,<font color="Maroon" title="c2">J</font> )
 <span class="kw">by</span> <span class="lab"><a class="ref" href="aofa_a00.html#D50" target="_self" onmouseover="rs('aofa_a00/D50')" onmouseout="rh()">Def50</a></span>;<br/>
<span class="kw">take </span>
<font color="Maroon" title="c3">K</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"> <font color="Maroon" title="c3">K</font> is  <a href="aofa_a00.html#V19" title="AOFA_A00:attr.19">integer</a> </span><br/>

<span class="kw">thus </span><a NAME="E3:154_1_1"/>
<font color="Maroon" title="c3">K</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:154_1_1"><span class="lab"><font color="Green" title="E57">A1</font></span></a></span>; <span class="comment"><font color="firebrick">:: according to </font></span><a class="ref" href="aofa_a00.html#D39" target="_self" onmouseover="rs('aofa_a00/D39')" onmouseout="rh()">AOFA_A00:def 39</a> <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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