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

<a NAME="E1:37_1_1"/>
<span class="p1"><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">[:</a><span class="default"><span class="p2">(<span class="default">1 <a href="finseq_2.html#K3" title="FINSEQ_2:func.3">*</a></span>)</span>,1</span><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">:]</a></span> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <span class="p1"><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">[:</a><span class="default"><span class="p2">(<span class="default">1 <a href="finseq_2.html#K3" title="FINSEQ_2:func.3">*</a></span>)</span>,1</span><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">:]</a></span>
 
;<br/>
<span class="kw">then </span><span class="kw">reconsider </span><font color="Maroon" title="c1">DER</font> = <span class="p1"><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">[:</a><span class="default"><span class="p2">(<span class="default">1 <a href="finseq_2.html#K3" title="FINSEQ_2:func.3">*</a></span>)</span>,1</span><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">:]</a></span> as   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>  <a href="relset_1.html#NM1" title="RELSET_1:NM.1">Relation</a> of <span class="p1">(<span class="default">1 <a href="finseq_2.html#K3" title="FINSEQ_2:func.3">*</a></span>)</span>,1 ;<br/>
<span class="kw">reconsider </span><font color="Maroon" title="c2">EM</font> =  <a href="prelamb.html#G2" title="PRELAMB:aggr.2">typestr</a>(# 1,<a href="funct_5.html#K9" title="FUNCT_5:func.9">op2</a>,<a href="funct_5.html#K9" title="FUNCT_5:func.9">op2</a>,<a href="funct_5.html#K9" title="FUNCT_5:func.9">op2</a>,<font color="Maroon" title="c1">DER</font> #) as   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="prelamb.html#L2" title="PRELAMB:struct.2">typestr</a>  ;<br/>
<span class="kw">take </span>
<font color="Maroon" title="c2">EM</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="c2">EM</font> is  <a href="prelamb.html#V10" title="PRELAMB:attr.10">SynTypes_Calculus-like</a> </span><br/>

<a NAME="E4:37_1_1"/><span class="lab"><font color="Green" title="E10">A1</font></span>: 
 for <font color="Olive" title="b1">x</font> being   <a href="prelamb.html#NM1" title="PRELAMB:NM.1">type</a> of <font color="Maroon" title="c2">EM</font><br/>  for <font color="Olive" title="b2">X</font> being   <a href="struct_0.html#NM7" title="STRUCT_0:NM.7">FinSequence</a> of <font color="Maroon" title="c2">EM</font> holds  <font color="Olive" title="b2">X</font> <a href="prelamb.html#R2" title="PRELAMB:pred.2">==&gt;.</a> <font color="Olive" title="b1">x</font>
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="37_1_1_1"><span class="kw">proof </span></a><div class="add">

<span class="kw">let </span><font color="Maroon" title="c3">x</font> be   <a href="prelamb.html#NM1" title="PRELAMB:NM.1">type</a> of <font color="Maroon" title="c2">EM</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  for <font color="Olive" title="b1">X</font> being   <a href="struct_0.html#NM7" title="STRUCT_0:NM.7">FinSequence</a> of <font color="Maroon" title="c2">EM</font> holds  <font color="Olive" title="b1">X</font> <a href="prelamb.html#R2" title="PRELAMB:pred.2">==&gt;.</a> <font color="Maroon" title="c3">x</font></span><br/><span class="kw">let </span><font color="Maroon" title="c4">X</font> be   <a href="struct_0.html#NM7" title="STRUCT_0:NM.7">FinSequence</a> of <font color="Maroon" title="c2">EM</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">X</font> <a href="prelamb.html#R2" title="PRELAMB:pred.2">==&gt;.</a> <font color="Maroon" title="c3">x</font></span><br/>



<a NAME="E1:37_1_1_1"/>
<span class="p1"><a href="prelamb.html#K6" title="PRELAMB:func.6">[</a><span class="default"><font color="Maroon" title="c4">X</font>,<font color="Maroon" title="c3">x</font></span><a href="prelamb.html#K6" title="PRELAMB:func.6">]</a></span> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <span class="p1"><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">[:</a><span class="default"><span class="p2">(<span class="default">1 <a href="finseq_2.html#K3" title="FINSEQ_2:func.3">*</a></span>)</span>,1</span><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">:]</a></span>
 
;<br/>
<span class="kw">hence </span><a NAME="E2:37_1_1_1"/>
<font color="Maroon" title="c4">X</font> <a href="prelamb.html#R2" title="PRELAMB:pred.2">==&gt;.</a> <font color="Maroon" title="c3">x</font>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="prelamb.html#D17" target="_self" title="PRELAMB:def.17">Def18</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/>


</div><span class="kw">end;</span></div>
<span class="kw">hence </span><a NAME="E5:37_1_1"/>
 for <font color="Olive" title="b1">x</font> being   <a href="prelamb.html#NM1" title="PRELAMB:NM.1">type</a> of <font color="Maroon" title="c2">EM</font> holds  <span class="p1"><a href="finseq_1.html#K12" title="FINSEQ_1:func.12">&lt;*</a><span class="default"><font color="Olive" title="b1">x</font></span><a href="finseq_1.html#K12" title="FINSEQ_1:func.12">*&gt;</a></span> <a href="prelamb.html#R2" title="PRELAMB:pred.2">==&gt;.</a> <font color="Olive" title="b1">x</font>
 ; <span class="comment"><font color="firebrick">:: according to </font></span><a class="ref" href="prelamb.html#D18" target="_self" title="PRELAMB:def.18">PRELAMB:def 18</a> <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( (  for <font color="Olive" title="b1">T</font> being   <a href="struct_0.html#NM7" title="STRUCT_0:NM.7">FinSequence</a> of <font color="Maroon" title="c2">EM</font><br/>  for <font color="Olive" title="b2">x</font>, <font color="Olive" title="b3">y</font> being   <a href="prelamb.html#NM1" title="PRELAMB:NM.1">type</a> of <font color="Maroon" title="c2">EM</font>  st <font color="Olive" title="b1">T</font> <a href="finseq_1.html#K8" title="FINSEQ_1:func.8">^</a> <span class="p1"><a href="finseq_1.html#K12" title="FINSEQ_1:func.12">&lt;*</a><span class="default"><font color="Olive" title="b3">y</font></span><a href="finseq_1.html#K12" title="FINSEQ_1:func.12">*&gt;</a></span> <a href="prelamb.html#R2" title="PRELAMB:pred.2">==&gt;.</a> <font color="Olive" title="b2">x</font> holds <br/><font color="Olive" title="b1">T</font> <a href="prelamb.html#R2" title="PRELAMB:pred.2">==&gt;.</a> <font color="Olive" title="b2">x</font> <a href="prelamb.html#K2" title="PRELAMB:func.2">/"</a> <font color="Olive" title="b3">y</font> ) &amp; (  for <font color="Olive" title="b1">T</font> being   <a href="struct_0.html#NM7" title="STRUCT_0:NM.7">FinSequence</a> of <font color="Maroon" title="c2">EM</font><br/>  for <font color="Olive" title="b2">x</font>, <font color="Olive" title="b3">y</font> being   <a href="prelamb.html#NM1" title="PRELAMB:NM.1">type</a> of <font color="Maroon" title="c2">EM</font>  st <span class="p1"><a href="finseq_1.html#K12" title="FINSEQ_1:func.12">&lt;*</a><span class="default"><font color="Olive" title="b3">y</font></span><a href="finseq_1.html#K12" title="FINSEQ_1:func.12">*&gt;</a></span> <a href="finseq_1.html#K8" title="FINSEQ_1:func.8">^</a> <font color="Olive" title="b1">T</font> <a href="prelamb.html#R2" title="PRELAMB:pred.2">==&gt;.</a> <font color="Olive" title="b2">x</font> holds <br/><font color="Olive" title="b1">T</font> <a href="prelamb.html#R2" title="PRELAMB:pred.2">==&gt;.</a> <font color="Olive" title="b3">y</font> <a href="prelamb.html#K1" title="PRELAMB:func.1">\</a> <font color="Olive" title="b2">x</font> ) &amp; (  for <font color="Olive" title="b1">T</font>, <font color="Olive" title="b2">X</font>, <font color="Olive" title="b3">Y</font> being   <a href="struct_0.html#NM7" title="STRUCT_0:NM.7">FinSequence</a> of <font color="Maroon" title="c2">EM</font><br/>  for <font color="Olive" title="b4">x</font>, <font color="Olive" title="b5">y</font>, <font color="Olive" title="b6">z</font> being   <a href="prelamb.html#NM1" title="PRELAMB:NM.1">type</a> of <font color="Maroon" title="c2">EM</font>  st <font color="Olive" title="b1">T</font> <a href="prelamb.html#R2" title="PRELAMB:pred.2">==&gt;.</a> <font color="Olive" title="b5">y</font> &amp; <span class="p1">(<span class="default"><font color="Olive" title="b2">X</font> <a href="finseq_1.html#K8" title="FINSEQ_1:func.8">^</a> <span class="p2"><a href="finseq_1.html#K12" title="FINSEQ_1:func.12">&lt;*</a><span class="default"><font color="Olive" title="b4">x</font></span><a href="finseq_1.html#K12" title="FINSEQ_1:func.12">*&gt;</a></span></span>)</span> <a href="finseq_1.html#K8" title="FINSEQ_1:func.8">^</a> <font color="Olive" title="b3">Y</font> <a href="prelamb.html#R2" title="PRELAMB:pred.2">==&gt;.</a> <font color="Olive" title="b6">z</font> holds <br/><span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Olive" title="b2">X</font> <a href="finseq_1.html#K8" title="FINSEQ_1:func.8">^</a> <span class="p3"><a href="finseq_1.html#K12" title="FINSEQ_1:func.12">&lt;*</a><span class="default"><span class="p4">(<span class="default"><font color="Olive" title="b4">x</font> <a href="prelamb.html#K2" title="PRELAMB:func.2">/"</a> <font color="Olive" title="b5">y</font></span>)</span></span><a href="finseq_1.html#K12" title="FINSEQ_1:func.12">*&gt;</a></span></span>)</span> <a href="finseq_1.html#K8" title="FINSEQ_1:func.8">^</a> <font color="Olive" title="b1">T</font></span>)</span> <a href="finseq_1.html#K8" title="FINSEQ_1:func.8">^</a> <font color="Olive" title="b3">Y</font> <a href="prelamb.html#R2" title="PRELAMB:pred.2">==&gt;.</a> <font color="Olive" title="b6">z</font> ) &amp; (  for <font color="Olive" title="b1">T</font>, <font color="Olive" title="b2">X</font>, <font color="Olive" title="b3">Y</font> being   <a href="struct_0.html#NM7" title="STRUCT_0:NM.7">FinSequence</a> of <font color="Maroon" title="c2">EM</font><br/>  for <font color="Olive" title="b4">x</font>, <font color="Olive" title="b5">y</font>, <font color="Olive" title="b6">z</font> being   <a href="prelamb.html#NM1" title="PRELAMB:NM.1">type</a> of <font color="Maroon" title="c2">EM</font>  st <font color="Olive" title="b1">T</font> <a href="prelamb.html#R2" title="PRELAMB:pred.2">==&gt;.</a> <font color="Olive" title="b5">y</font> &amp; <span class="p1">(<span class="default"><font color="Olive" title="b2">X</font> <a href="finseq_1.html#K8" title="FINSEQ_1:func.8">^</a> <span class="p2"><a href="finseq_1.html#K12" title="FINSEQ_1:func.12">&lt;*</a><span class="default"><font color="Olive" title="b4">x</font></span><a href="finseq_1.html#K12" title="FINSEQ_1:func.12">*&gt;</a></span></span>)</span> <a href="finseq_1.html#K8" title="FINSEQ_1:func.8">^</a> <font color="Olive" title="b3">Y</font> <a href="prelamb.html#R2" title="PRELAMB:pred.2">==&gt;.</a> <font color="Olive" title="b6">z</font> holds <br/><span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Olive" title="b2">X</font> <a href="finseq_1.html#K8" title="FINSEQ_1:func.8">^</a> <font color="Olive" title="b1">T</font></span>)</span> <a href="finseq_1.html#K8" title="FINSEQ_1:func.8">^</a> <span class="p2"><a href="finseq_1.html#K12" title="FINSEQ_1:func.12">&lt;*</a><span class="default"><span class="p3">(<span class="default"><font color="Olive" title="b5">y</font> <a href="prelamb.html#K1" title="PRELAMB:func.1">\</a> <font color="Olive" title="b4">x</font></span>)</span></span><a href="finseq_1.html#K12" title="FINSEQ_1:func.12">*&gt;</a></span></span>)</span> <a href="finseq_1.html#K8" title="FINSEQ_1:func.8">^</a> <font color="Olive" title="b3">Y</font> <a href="prelamb.html#R2" title="PRELAMB:pred.2">==&gt;.</a> <font color="Olive" title="b6">z</font> ) &amp; (  for <font color="Olive" title="b1">X</font>, <font color="Olive" title="b2">Y</font> being   <a href="struct_0.html#NM7" title="STRUCT_0:NM.7">FinSequence</a> of <font color="Maroon" title="c2">EM</font><br/>  for <font color="Olive" title="b3">x</font>, <font color="Olive" title="b4">y</font>, <font color="Olive" title="b5">z</font> being   <a href="prelamb.html#NM1" title="PRELAMB:NM.1">type</a> of <font color="Maroon" title="c2">EM</font>  st <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Olive" title="b1">X</font> <a href="finseq_1.html#K8" title="FINSEQ_1:func.8">^</a> <span class="p3"><a href="finseq_1.html#K12" title="FINSEQ_1:func.12">&lt;*</a><span class="default"><font color="Olive" title="b3">x</font></span><a href="finseq_1.html#K12" title="FINSEQ_1:func.12">*&gt;</a></span></span>)</span> <a href="finseq_1.html#K8" title="FINSEQ_1:func.8">^</a> <span class="p2"><a href="finseq_1.html#K12" title="FINSEQ_1:func.12">&lt;*</a><span class="default"><font color="Olive" title="b4">y</font></span><a href="finseq_1.html#K12" title="FINSEQ_1:func.12">*&gt;</a></span></span>)</span> <a href="finseq_1.html#K8" title="FINSEQ_1:func.8">^</a> <font color="Olive" title="b2">Y</font> <a href="prelamb.html#R2" title="PRELAMB:pred.2">==&gt;.</a> <font color="Olive" title="b5">z</font> holds <br/><span class="p1">(<span class="default"><font color="Olive" title="b1">X</font> <a href="finseq_1.html#K8" title="FINSEQ_1:func.8">^</a> <span class="p2"><a href="finseq_1.html#K12" title="FINSEQ_1:func.12">&lt;*</a><span class="default"><span class="p3">(<span class="default"><font color="Olive" title="b3">x</font> <a href="prelamb.html#K3" title="PRELAMB:func.3">*</a> <font color="Olive" title="b4">y</font></span>)</span></span><a href="finseq_1.html#K12" title="FINSEQ_1:func.12">*&gt;</a></span></span>)</span> <a href="finseq_1.html#K8" title="FINSEQ_1:func.8">^</a> <font color="Olive" title="b2">Y</font> <a href="prelamb.html#R2" title="PRELAMB:pred.2">==&gt;.</a> <font color="Olive" title="b5">z</font> ) &amp; (  for <font color="Olive" title="b1">X</font>, <font color="Olive" title="b2">Y</font> being   <a href="struct_0.html#NM7" title="STRUCT_0:NM.7">FinSequence</a> of <font color="Maroon" title="c2">EM</font><br/>  for <font color="Olive" title="b3">x</font>, <font color="Olive" title="b4">y</font> being   <a href="prelamb.html#NM1" title="PRELAMB:NM.1">type</a> of <font color="Maroon" title="c2">EM</font>  st <font color="Olive" title="b1">X</font> <a href="prelamb.html#R2" title="PRELAMB:pred.2">==&gt;.</a> <font color="Olive" title="b3">x</font> &amp; <font color="Olive" title="b2">Y</font> <a href="prelamb.html#R2" title="PRELAMB:pred.2">==&gt;.</a> <font color="Olive" title="b4">y</font> holds <br/><font color="Olive" title="b1">X</font> <a href="finseq_1.html#K8" title="FINSEQ_1:func.8">^</a> <font color="Olive" title="b2">Y</font> <a href="prelamb.html#R2" title="PRELAMB:pred.2">==&gt;.</a> <font color="Olive" title="b3">x</font> <a href="prelamb.html#K3" title="PRELAMB:func.3">*</a> <font color="Olive" title="b4">y</font> ) )</span><br/>

<span class="kw">thus </span><a NAME="E6:37_1_1"/>
( (  for <font color="Olive" title="b1">T</font> being   <a href="struct_0.html#NM7" title="STRUCT_0:NM.7">FinSequence</a> of <font color="Maroon" title="c2">EM</font><br/>  for <font color="Olive" title="b2">x</font>, <font color="Olive" title="b3">y</font> being   <a href="prelamb.html#NM1" title="PRELAMB:NM.1">type</a> of <font color="Maroon" title="c2">EM</font>  st <font color="Olive" title="b1">T</font> <a href="finseq_1.html#K8" title="FINSEQ_1:func.8">^</a> <span class="p1"><a href="finseq_1.html#K12" title="FINSEQ_1:func.12">&lt;*</a><span class="default"><font color="Olive" title="b3">y</font></span><a href="finseq_1.html#K12" title="FINSEQ_1:func.12">*&gt;</a></span> <a href="prelamb.html#R2" title="PRELAMB:pred.2">==&gt;.</a> <font color="Olive" title="b2">x</font> holds <br/><font color="Olive" title="b1">T</font> <a href="prelamb.html#R2" title="PRELAMB:pred.2">==&gt;.</a> <font color="Olive" title="b2">x</font> <a href="prelamb.html#K2" title="PRELAMB:func.2">/"</a> <font color="Olive" title="b3">y</font> ) &amp; (  for <font color="Olive" title="b1">T</font> being   <a href="struct_0.html#NM7" title="STRUCT_0:NM.7">FinSequence</a> of <font color="Maroon" title="c2">EM</font><br/>  for <font color="Olive" title="b2">x</font>, <font color="Olive" title="b3">y</font> being   <a href="prelamb.html#NM1" title="PRELAMB:NM.1">type</a> of <font color="Maroon" title="c2">EM</font>  st <span class="p1"><a href="finseq_1.html#K12" title="FINSEQ_1:func.12">&lt;*</a><span class="default"><font color="Olive" title="b3">y</font></span><a href="finseq_1.html#K12" title="FINSEQ_1:func.12">*&gt;</a></span> <a href="finseq_1.html#K8" title="FINSEQ_1:func.8">^</a> <font color="Olive" title="b1">T</font> <a href="prelamb.html#R2" title="PRELAMB:pred.2">==&gt;.</a> <font color="Olive" title="b2">x</font> holds <br/><font color="Olive" title="b1">T</font> <a href="prelamb.html#R2" title="PRELAMB:pred.2">==&gt;.</a> <font color="Olive" title="b3">y</font> <a href="prelamb.html#K1" title="PRELAMB:func.1">\</a> <font color="Olive" title="b2">x</font> ) &amp; (  for <font color="Olive" title="b1">T</font>, <font color="Olive" title="b2">X</font>, <font color="Olive" title="b3">Y</font> being   <a href="struct_0.html#NM7" title="STRUCT_0:NM.7">FinSequence</a> of <font color="Maroon" title="c2">EM</font><br/>  for <font color="Olive" title="b4">x</font>, <font color="Olive" title="b5">y</font>, <font color="Olive" title="b6">z</font> being   <a href="prelamb.html#NM1" title="PRELAMB:NM.1">type</a> of <font color="Maroon" title="c2">EM</font>  st <font color="Olive" title="b1">T</font> <a href="prelamb.html#R2" title="PRELAMB:pred.2">==&gt;.</a> <font color="Olive" title="b5">y</font> &amp; <span class="p1">(<span class="default"><font color="Olive" title="b2">X</font> <a href="finseq_1.html#K8" title="FINSEQ_1:func.8">^</a> <span class="p2"><a href="finseq_1.html#K12" title="FINSEQ_1:func.12">&lt;*</a><span class="default"><font color="Olive" title="b4">x</font></span><a href="finseq_1.html#K12" title="FINSEQ_1:func.12">*&gt;</a></span></span>)</span> <a href="finseq_1.html#K8" title="FINSEQ_1:func.8">^</a> <font color="Olive" title="b3">Y</font> <a href="prelamb.html#R2" title="PRELAMB:pred.2">==&gt;.</a> <font color="Olive" title="b6">z</font> holds <br/><span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Olive" title="b2">X</font> <a href="finseq_1.html#K8" title="FINSEQ_1:func.8">^</a> <span class="p3"><a href="finseq_1.html#K12" title="FINSEQ_1:func.12">&lt;*</a><span class="default"><span class="p4">(<span class="default"><font color="Olive" title="b4">x</font> <a href="prelamb.html#K2" title="PRELAMB:func.2">/"</a> <font color="Olive" title="b5">y</font></span>)</span></span><a href="finseq_1.html#K12" title="FINSEQ_1:func.12">*&gt;</a></span></span>)</span> <a href="finseq_1.html#K8" title="FINSEQ_1:func.8">^</a> <font color="Olive" title="b1">T</font></span>)</span> <a href="finseq_1.html#K8" title="FINSEQ_1:func.8">^</a> <font color="Olive" title="b3">Y</font> <a href="prelamb.html#R2" title="PRELAMB:pred.2">==&gt;.</a> <font color="Olive" title="b6">z</font> ) &amp; (  for <font color="Olive" title="b1">T</font>, <font color="Olive" title="b2">X</font>, <font color="Olive" title="b3">Y</font> being   <a href="struct_0.html#NM7" title="STRUCT_0:NM.7">FinSequence</a> of <font color="Maroon" title="c2">EM</font><br/>  for <font color="Olive" title="b4">x</font>, <font color="Olive" title="b5">y</font>, <font color="Olive" title="b6">z</font> being   <a href="prelamb.html#NM1" title="PRELAMB:NM.1">type</a> of <font color="Maroon" title="c2">EM</font>  st <font color="Olive" title="b1">T</font> <a href="prelamb.html#R2" title="PRELAMB:pred.2">==&gt;.</a> <font color="Olive" title="b5">y</font> &amp; <span class="p1">(<span class="default"><font color="Olive" title="b2">X</font> <a href="finseq_1.html#K8" title="FINSEQ_1:func.8">^</a> <span class="p2"><a href="finseq_1.html#K12" title="FINSEQ_1:func.12">&lt;*</a><span class="default"><font color="Olive" title="b4">x</font></span><a href="finseq_1.html#K12" title="FINSEQ_1:func.12">*&gt;</a></span></span>)</span> <a href="finseq_1.html#K8" title="FINSEQ_1:func.8">^</a> <font color="Olive" title="b3">Y</font> <a href="prelamb.html#R2" title="PRELAMB:pred.2">==&gt;.</a> <font color="Olive" title="b6">z</font> holds <br/><span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Olive" title="b2">X</font> <a href="finseq_1.html#K8" title="FINSEQ_1:func.8">^</a> <font color="Olive" title="b1">T</font></span>)</span> <a href="finseq_1.html#K8" title="FINSEQ_1:func.8">^</a> <span class="p2"><a href="finseq_1.html#K12" title="FINSEQ_1:func.12">&lt;*</a><span class="default"><span class="p3">(<span class="default"><font color="Olive" title="b5">y</font> <a href="prelamb.html#K1" title="PRELAMB:func.1">\</a> <font color="Olive" title="b4">x</font></span>)</span></span><a href="finseq_1.html#K12" title="FINSEQ_1:func.12">*&gt;</a></span></span>)</span> <a href="finseq_1.html#K8" title="FINSEQ_1:func.8">^</a> <font color="Olive" title="b3">Y</font> <a href="prelamb.html#R2" title="PRELAMB:pred.2">==&gt;.</a> <font color="Olive" title="b6">z</font> ) &amp; (  for <font color="Olive" title="b1">X</font>, <font color="Olive" title="b2">Y</font> being   <a href="struct_0.html#NM7" title="STRUCT_0:NM.7">FinSequence</a> of <font color="Maroon" title="c2">EM</font><br/>  for <font color="Olive" title="b3">x</font>, <font color="Olive" title="b4">y</font>, <font color="Olive" title="b5">z</font> being   <a href="prelamb.html#NM1" title="PRELAMB:NM.1">type</a> of <font color="Maroon" title="c2">EM</font>  st <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Olive" title="b1">X</font> <a href="finseq_1.html#K8" title="FINSEQ_1:func.8">^</a> <span class="p3"><a href="finseq_1.html#K12" title="FINSEQ_1:func.12">&lt;*</a><span class="default"><font color="Olive" title="b3">x</font></span><a href="finseq_1.html#K12" title="FINSEQ_1:func.12">*&gt;</a></span></span>)</span> <a href="finseq_1.html#K8" title="FINSEQ_1:func.8">^</a> <span class="p2"><a href="finseq_1.html#K12" title="FINSEQ_1:func.12">&lt;*</a><span class="default"><font color="Olive" title="b4">y</font></span><a href="finseq_1.html#K12" title="FINSEQ_1:func.12">*&gt;</a></span></span>)</span> <a href="finseq_1.html#K8" title="FINSEQ_1:func.8">^</a> <font color="Olive" title="b2">Y</font> <a href="prelamb.html#R2" title="PRELAMB:pred.2">==&gt;.</a> <font color="Olive" title="b5">z</font> holds <br/><span class="p1">(<span class="default"><font color="Olive" title="b1">X</font> <a href="finseq_1.html#K8" title="FINSEQ_1:func.8">^</a> <span class="p2"><a href="finseq_1.html#K12" title="FINSEQ_1:func.12">&lt;*</a><span class="default"><span class="p3">(<span class="default"><font color="Olive" title="b3">x</font> <a href="prelamb.html#K3" title="PRELAMB:func.3">*</a> <font color="Olive" title="b4">y</font></span>)</span></span><a href="finseq_1.html#K12" title="FINSEQ_1:func.12">*&gt;</a></span></span>)</span> <a href="finseq_1.html#K8" title="FINSEQ_1:func.8">^</a> <font color="Olive" title="b2">Y</font> <a href="prelamb.html#R2" title="PRELAMB:pred.2">==&gt;.</a> <font color="Olive" title="b5">z</font> ) &amp; (  for <font color="Olive" title="b1">X</font>, <font color="Olive" title="b2">Y</font> being   <a href="struct_0.html#NM7" title="STRUCT_0:NM.7">FinSequence</a> of <font color="Maroon" title="c2">EM</font><br/>  for <font color="Olive" title="b3">x</font>, <font color="Olive" title="b4">y</font> being   <a href="prelamb.html#NM1" title="PRELAMB:NM.1">type</a> of <font color="Maroon" title="c2">EM</font>  st <font color="Olive" title="b1">X</font> <a href="prelamb.html#R2" title="PRELAMB:pred.2">==&gt;.</a> <font color="Olive" title="b3">x</font> &amp; <font color="Olive" title="b2">Y</font> <a href="prelamb.html#R2" title="PRELAMB:pred.2">==&gt;.</a> <font color="Olive" title="b4">y</font> holds <br/><font color="Olive" title="b1">X</font> <a href="finseq_1.html#K8" title="FINSEQ_1:func.8">^</a> <font color="Olive" title="b2">Y</font> <a href="prelamb.html#R2" title="PRELAMB:pred.2">==&gt;.</a> <font color="Olive" title="b3">x</font> <a href="prelamb.html#K3" title="PRELAMB:func.3">*</a> <font color="Olive" title="b4">y</font> ) )
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E4:37_1_1"><span class="lab"><font color="Green" title="E10">A1</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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