<?xml version="1.0"?>
<div class="add">

<span class="kw">set </span><font color="Maroon" title="c2">C</font> =  <a href="abcmiz_1.html#K27" title="ABCMIZ_1:func.27">MaxConstrSign</a> ;<br/>
<span class="kw">let </span><font color="Maroon" title="c3">m</font> be   <a href="abcmiz_1.html#V2" title="ABCMIZ_1:attr.2">constructor</a>   <a href="abcmiz_a.html#V6" title="ABCMIZ_A:attr.6">binary</a>  <a href="msualg_1.html#NM2" title="MSUALG_1:NM.2">OperSymbol</a> of <a href="abcmiz_1.html#K27" title="ABCMIZ_1:func.27">MaxConstrSign</a> ; <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">t1</font>, <font color="Olive" title="b2">t2</font> being  <a href="abcmiz_a.html#NM4" title="ABCMIZ_A:NM.4">quasi-term</a> holds   <a href="abcmiz_a.html#K10" title="ABCMIZ_A:func.10">main-constr</a> <span class="p1">(<span class="default"><font color="Maroon" title="c3">m</font> <a href="abcmiz_1.html#K31" title="ABCMIZ_1:func.31">term</a> <font color="Olive" title="b1">t1</font>,<font color="Olive" title="b2">t2</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c3">m</font></span><br/><span class="kw">let </span><font color="Maroon" title="c4">t1</font>, <font color="Maroon" title="c5">t2</font> be   <a href="abcmiz_a.html#NM4" title="ABCMIZ_A:NM.4">quasi-term</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide">  <a href="abcmiz_a.html#K10" title="ABCMIZ_A:func.10">main-constr</a> <span class="p1">(<span class="default"><font color="Maroon" title="c3">m</font> <a href="abcmiz_1.html#K31" title="ABCMIZ_1:func.31">term</a> <font color="Maroon" title="c4">t1</font>,<font color="Maroon" title="c5">t2</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c3">m</font></span><br/>





<span class="kw">reconsider </span><font color="Maroon" title="c6">w1</font> = <font color="Maroon" title="c4">t1</font>, <font color="Maroon" title="c7">w2</font> = <font color="Maroon" title="c5">t2</font> as    <a href="trees_3.html#M3" title="TREES_3:mode.3">Element</a> of  <a href="abcmiz_1.html#K34" title="ABCMIZ_1:func.34">QuasiTerms</a> <a href="abcmiz_1.html#K27" title="ABCMIZ_1:func.27">MaxConstrSign</a>  <span class="kw">by</span> <span class="lab"><a class="ref" href="abcmiz_1.html#T49" title="ABCMIZ_1:th.49">ABCMIZ_1:49</a></span>;<br/>
<span class="kw">reconsider </span><font color="Maroon" title="c8">p</font> = <span class="p1"><a href="finseq_4.html#K2" title="FINSEQ_4:func.2">&lt;*</a><span class="default"><font color="Maroon" title="c6">w1</font>,<font color="Maroon" title="c7">w2</font></span><a href="finseq_4.html#K2" title="FINSEQ_4:func.2">*&gt;</a></span> as    <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> <a href="abcmiz_1.html#K27" title="ABCMIZ_1:func.27">MaxConstrSign</a>  ;<br/>
<a NAME="E3:83"/><span class="lab"><font color="Green" title="E38">A1</font></span>: 
 <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="c3">m</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 2
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="abcmiz_a.html#D15" target="_self" title="ABCMIZ_A:def.15">Bdef</a></span>;<br/>
<span class="kw">then </span> <a href="msualg_1.html#K1" title="MSUALG_1:func.1">the_arity_of</a> <font color="Maroon" title="c3">m</font> = 
2 <a href="finseq_2.html#K2" title="FINSEQ_2:func.2">|-&gt;</a> <a href="abcmiz_1.html#K8" title="ABCMIZ_1:func.8">a_Term</a> 
<span class="kw">by</span> <span class="lab"><a class="ref" href="abcmiz_1.html#T37" title="ABCMIZ_1:th.37">ABCMIZ_1:37</a></span>
<br/>.= 
<span class="p1"><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">&lt;*</a><span class="default"><a href="abcmiz_1.html#K8" title="ABCMIZ_1:func.8">a_Term</a> ,<a href="abcmiz_1.html#K8" title="ABCMIZ_1:func.8">a_Term</a> </span><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">*&gt;</a></span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="finseq_2.html#T75" title="FINSEQ_2:th.75">FINSEQ_2:75</a></span>
;<br/>
<a NAME="E5:83"/><span class="kw">then </span>
( <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="c3">m</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> 1 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="abcmiz_1.html#K14" title="ABCMIZ_1:func.14">a_Term</a> <a href="abcmiz_1.html#K27" title="ABCMIZ_1:func.27">MaxConstrSign</a>  &amp; <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="c3">m</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> 2 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="abcmiz_1.html#K14" title="ABCMIZ_1:func.14">a_Term</a> <a href="abcmiz_1.html#K27" title="ABCMIZ_1:func.27">MaxConstrSign</a>  &amp;  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c8">p</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 2 )
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="finseq_1.html#T61" title="FINSEQ_1:th.61">FINSEQ_1:61</a></span>;<br/>
<a NAME="E6:83"/><span class="kw">then </span><span class="lab"><font color="Green" title="E39">A0</font></span>: 
( <font color="Maroon" title="c3">m</font> <a href="abcmiz_1.html#K31" title="ABCMIZ_1:func.31">term</a> <font color="Maroon" title="c4">t1</font>,<font color="Maroon" title="c5">t2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><font color="Maroon" title="c3">m</font>,the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <a href="abcmiz_1.html#K27" title="ABCMIZ_1:func.27">MaxConstrSign</a> </span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span> <a href="trees_4.html#K4" title="TREES_4:func.4">-tree</a> <span class="p1"><a href="finseq_4.html#K2" title="FINSEQ_4:func.2">&lt;*</a><span class="default"><font color="Maroon" title="c4">t1</font>,<font color="Maroon" title="c5">t2</font></span><a href="finseq_4.html#K2" title="FINSEQ_4:func.2">*&gt;</a></span> &amp; <font color="Maroon" title="c3">m</font> <a href="abcmiz_1.html#K36" title="ABCMIZ_1:func.36">-trm</a> <font color="Maroon" title="c8">p</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><font color="Maroon" title="c3">m</font>,the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <a href="abcmiz_1.html#K27" title="ABCMIZ_1:func.27">MaxConstrSign</a> </span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span> <a href="trees_4.html#K4" title="TREES_4:func.4">-tree</a> <font color="Maroon" title="c8">p</font> )
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:83"><span class="lab"><font color="Green" title="E38">A1</font></span></a>, <a class="ref" href="abcmiz_1.html#D31" title="ABCMIZ_1:def.31">ABCMIZ_1:def 31</a>, <a class="ref" href="abcmiz_1.html#D35" title="ABCMIZ_1:def.35">ABCMIZ_1:def 35</a></span>;<br/>
<span class="kw">thus </span> <a href="abcmiz_a.html#K10" title="ABCMIZ_A:func.10">main-constr</a> <span class="p1">(<span class="default"><font color="Maroon" title="c3">m</font> <a href="abcmiz_1.html#K31" title="ABCMIZ_1:func.31">term</a> <font color="Maroon" title="c4">t1</font>,<font color="Maroon" title="c5">t2</font></span>)</span> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c3">m</font> <a href="abcmiz_1.html#K31" title="ABCMIZ_1:func.31">term</a> <font color="Maroon" title="c4">t1</font>,<font color="Maroon" title="c5">t2</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a> </span>)</span> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1</a> 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E6:83"><span class="lab"><font color="Green" title="E39">A0</font></span></a>, <a class="ref" href="abcmiz_a.html#D9" target="_self" title="ABCMIZ_A:def.9">MCON</a></span>
<br/>.= 
<span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><font color="Maroon" title="c3">m</font>,the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <a href="abcmiz_1.html#K27" title="ABCMIZ_1:func.27">MaxConstrSign</a> </span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1</a> 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E6:83"><span class="lab"><font color="Green" title="E39">A0</font></span></a>, <a class="ref" href="trees_4.html#D4" title="TREES_4:def.4">TREES_4:def 4</a></span>
<br/>.= 
<font color="Maroon" title="c3">m</font>
<span class="kw">by</span> <span class="lab"><a class="ref" href="mcart_1.html#T7" title="MCART_1:th.7">MCART_1:7</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/>


</div>
