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<span class="kw">consider </span><font color="Maroon" title="c4">v</font> being   <a href="abcmiz_1.html#V2" title="ABCMIZ_1:attr.2">constructor</a>  <a href="msualg_1.html#NM2" title="MSUALG_1:NM.2">OperSymbol</a> of <font color="Maroon" title="c1">C</font><span class="kw"> such that </span><br/><a NAME="E2:255_1_1"/><span class="lab"><font color="Green" title="E121">A1</font></span>: 
 <a href="msualg_1.html#K2" title="MSUALG_1:func.2">the_result_sort_of</a> <font color="Maroon" title="c4">v</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="abcmiz_1.html#K13" title="ABCMIZ_1:func.13">an_Adj</a> <font color="Maroon" title="c1">C</font>
 <span class="kw">and </span><br/><a NAME="E3:255_1_1"/><span class="lab"><font color="Green" title="E122">A2</font></span>: 
 ex <font color="Olive" title="b1">p</font> being    <a href="trees_4.html#M1" title="TREES_4:mode.1">FinSequence</a> of  <a href="abcmiz_1.html#K34" title="ABCMIZ_1:func.34">QuasiTerms</a> <font color="Maroon" title="c1">C</font> st <br/>(  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Olive" title="b1">p</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <span class="p1">(<span class="default"><a href="msualg_1.html#K1" title="MSUALG_1:func.1">the_arity_of</a> <font color="Maroon" title="c4">v</font></span>)</span> &amp; <font color="Maroon" title="c3">a</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c4">v</font> <a href="abcmiz_1.html#K36" title="ABCMIZ_1:func.36">-trm</a> <font color="Olive" title="b1">p</font> )
 <span class="kw">by</span> <span class="lab"><a class="ref" href="abcmiz_1.html#T65" target="_self" onmouseover="rs('abcmiz_1/T65')" onmouseout="rh()">Th65</a></span>;<br/>
<span class="kw">consider </span><font color="Maroon" title="c5">p</font> being    <a href="trees_4.html#M1" title="TREES_4:mode.1">FinSequence</a> of  <a href="abcmiz_1.html#K34" title="ABCMIZ_1:func.34">QuasiTerms</a> <font color="Maroon" title="c1">C</font><span class="kw"> such that </span><br/><a NAME="E5:255_1_1"/><span class="lab"><font color="Green" title="E123">A3</font></span>: 
 <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c5">p</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <span class="p1">(<span class="default"><a href="msualg_1.html#K1" title="MSUALG_1:func.1">the_arity_of</a> <font color="Maroon" title="c4">v</font></span>)</span>
 <span class="kw">and </span><br/><a NAME="E6:255_1_1"/><span class="lab"><font color="Green" title="E124">A4</font></span>: 
<font color="Maroon" title="c3">a</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c4">v</font> <a href="abcmiz_1.html#K36" title="ABCMIZ_1:func.36">-trm</a> <font color="Maroon" title="c5">p</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:255_1_1"><span class="lab"><font color="Green" title="E122">A2</font></span></a></span>;<br/>
<a NAME="E7:255_1_1"/><span class="lab"><font color="Green" title="E125">A5</font></span>: 
 <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <span class="p1">(<span class="default"><font color="Maroon" title="c5">p</font> <a href="abcmiz_1.html#K58" title="ABCMIZ_1:func.58">at</a> <font color="Maroon" title="c2">f</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c5">p</font>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="abcmiz_1.html#T130" target="_self" onmouseover="rs('abcmiz_1/T130')" onmouseout="rh()">Th130</a></span>;<br/>
<a NAME="E8:255_1_1"/>
<font color="Maroon" title="c3">a</font> <a href="abcmiz_1.html#K60" title="ABCMIZ_1:func.60">at</a> <font color="Maroon" title="c2">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c4">v</font> <a href="abcmiz_1.html#K36" title="ABCMIZ_1:func.36">-trm</a> <span class="p1">(<span class="default"><font color="Maroon" title="c5">p</font> <a href="abcmiz_1.html#K58" title="ABCMIZ_1:func.58">at</a> <font color="Maroon" title="c2">f</font></span>)</span>
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E5:255_1_1"><span class="lab"><font color="Green" title="E123">A3</font></span></a>, <a class="txt" href="#E6:255_1_1"><span class="lab"><font color="Green" title="E124">A4</font></span></a>, <a class="ref" href="abcmiz_1.html#D60" target="_self" onmouseover="rs('abcmiz_1/D60')" onmouseout="rh()">Def60</a></span>;<br/>
<span class="kw">hence </span><a NAME="E9:255_1_1"/>
 for <font color="Olive">b<sub>1</sub></font> being    <a href="abcmiz_1.html#M1" title="ABCMIZ_1:mode.1">expression</a> of <font color="Maroon" title="c1">C</font>, <a href="abcmiz_1.html#K13" title="ABCMIZ_1:func.13">an_Adj</a> <font color="Maroon" title="c1">C</font>  st <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c3">a</font> <a href="abcmiz_1.html#K60" title="ABCMIZ_1:func.60">at</a> <font color="Maroon" title="c2">f</font> holds <br/><font color="Olive">b<sub>1</sub></font> is  <a href="abcmiz_1.html#V6" title="ABCMIZ_1:attr.6">positive</a> 
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:255_1_1"><span class="lab"><font color="Green" title="E121">A1</font></span></a>, <a class="txt" href="#E5:255_1_1"><span class="lab"><font color="Green" title="E123">A3</font></span></a>, <a class="txt" href="#E7:255_1_1"><span class="lab"><font color="Green" title="E125">A5</font></span></a>, <a class="ref" href="abcmiz_1.html#T66" target="_self" onmouseover="rs('abcmiz_1/T66')" onmouseout="rh()">Th66</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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