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<b>reconsider </b><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#M2" title="RELSET_1:mode.2">Relation</a> of 1 <a href="finseq_2.html#K3" title="FINSEQ_2:func.3">*</a> ,1 <b>by </b><i><a class="ref" href="relset_1.html#D1" title="RELSET_1:def.1">RELSET_1:def 1</a></i>;<br/>
<b>reconsider </b><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>  <b>by </b><i><a class="ref" href="struct_0.html#D1" title="STRUCT_0:def.1">STRUCT_0:def 1</a></i>;<br/>
<b>take </b>
<font color="Maroon" title="c2">EM</font>
;<br/>

<a NAME="E3:39_1_1"/><i><font color="Green" title="E12">A1</font></i>: 
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="finseq_1.html#M2" title="FINSEQ_1:mode.2">FinSequence</a> of the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</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="39_1_1_1"><b>proof </b></a><div class="add">

<b>let </b><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>;<br/><b>let </b><font color="Maroon" title="c4">X</font> be    <a href="finseq_1.html#M2" title="FINSEQ_1:mode.2">FinSequence</a> of the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c2">EM</font>;<br/>



<a NAME="E1:39_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/>
<b>hence </b><a NAME="E2:39_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>
 <b>by </b><i><a class="ref" href="prelamb.html#D18" target="_self" title="PRELAMB:def.18">Def18</a></i>;<br/>


</div><b>end;</b></div>
<b>hence </b><a NAME="E4:39_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>
 ; <i><font color="Red">:: according to </font></i><a class="ref" href="prelamb.html#D19" target="_self" title="PRELAMB:def.19">PRELAMB:def 19</a><br/>

<b>thus </b><a NAME="E5:39_1_1"/>
( ( for <font color="Olive" title="b1">T</font> being   <a href="finseq_1.html#M2" title="FINSEQ_1:mode.2">FinSequence</a> of the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</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="finseq_1.html#M2" title="FINSEQ_1:mode.2">FinSequence</a> of the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</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="finseq_1.html#M2" title="FINSEQ_1:mode.2">FinSequence</a> of the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</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="finseq_1.html#M2" title="FINSEQ_1:mode.2">FinSequence</a> of the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</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="finseq_1.html#M2" title="FINSEQ_1:mode.2">FinSequence</a> of the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</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="finseq_1.html#M2" title="FINSEQ_1:mode.2">FinSequence</a> of the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</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> ) )
 <b>by </b><i><a class="txt" href="prelamb.html#E3:39_1_1"><i><font color="Green" title="E12">A1</font></i></a></i>;<br/>


</div>
