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<span class="kw">let </span><font color="Maroon" title="c1">k</font> be    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</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">ll</font> being  <a href="cqc_lang.html#NM2" title="CQC_LANG:NM.2">CQC-variable_list</a> of <font color="Maroon" title="c1">k</font><br/> for <font color="Olive" title="b2">Sub</font> being  <a href="substut1.html#NM1" title="SUBSTUT1:NM.1">CQC_Substitution</a> holds   <a href="substut1.html#K3" title="SUBSTUT1:func.3">CQC_Subst</a> <font color="Olive" title="b1">ll</font>,<font color="Olive" title="b2">Sub</font> is   <a href="cqc_lang.html#NM2" title="CQC_LANG:NM.2">CQC-variable_list</a> of <font color="Maroon" title="c1">k</font></span><br/><span class="kw">let </span><font color="Maroon" title="c2">ll</font> be   <a href="cqc_lang.html#NM2" title="CQC_LANG:NM.2">CQC-variable_list</a> of <font color="Maroon" title="c1">k</font>; <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">Sub</font> being  <a href="substut1.html#NM1" title="SUBSTUT1:NM.1">CQC_Substitution</a> holds   <a href="substut1.html#K3" title="SUBSTUT1:func.3">CQC_Subst</a> <font color="Maroon" title="c2">ll</font>,<font color="Olive" title="b1">Sub</font> is   <a href="cqc_lang.html#NM2" title="CQC_LANG:NM.2">CQC-variable_list</a> of <font color="Maroon" title="c1">k</font></span><br/><span class="kw">let </span><font color="Maroon" title="c3">Sub</font> be   <a href="substut1.html#NM1" title="SUBSTUT1:NM.1">CQC_Substitution</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide">  <a href="substut1.html#K3" title="SUBSTUT1:func.3">CQC_Subst</a> <font color="Maroon" title="c2">ll</font>,<font color="Maroon" title="c3">Sub</font> is   <a href="cqc_lang.html#NM2" title="CQC_LANG:NM.2">CQC-variable_list</a> of <font color="Maroon" title="c1">k</font></span><br/>





<span class="kw">reconsider </span><font color="Maroon" title="c4">ll</font> = <font color="Maroon" title="c2">ll</font> as    <a href="finseq_1.html#M2" title="FINSEQ_1:mode.2">FinSequence</a> of  <a href="qc_lang1.html#K2" title="QC_LANG1:func.2">bound_QC-variables</a>  <span class="kw">by</span> <span class="lab"><a class="ref" href="substut1.html#T34" title="SUBSTUT1:th.34">SUBSTUT1:34</a></span>;<br/>
<span class="kw">reconsider </span><font color="Maroon" title="c5">s</font> =  <a href="substut1.html#K5" title="SUBSTUT1:func.5">CQC_Subst</a> <font color="Maroon" title="c4">ll</font>,<font color="Maroon" title="c3">Sub</font> as    <a href="finseq_1.html#M2" title="FINSEQ_1:mode.2">FinSequence</a> of  <a href="qc_lang1.html#K2" title="QC_LANG1:func.2">bound_QC-variables</a>  ;<br/>
<a NAME="E3:18"/><span class="lab"><font color="Green" title="E10">A1</font></span>: 
<font color="Maroon" title="c5">s</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="substut1.html#K3" title="SUBSTUT1:func.3">CQC_Subst</a> <span class="p1">(<span class="default"><a href="substut1.html#K4" title="SUBSTUT1:func.4">@</a> <font color="Maroon" title="c4">ll</font></span>)</span>,<font color="Maroon" title="c3">Sub</font>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="substut1.html#D5" title="SUBSTUT1:def.5">SUBSTUT1:def 5</a></span>;<br/>
<a NAME="E4:18"/>
 <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c4">ll</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c1">k</font>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="finseq_1.html#D18" title="FINSEQ_1:def.18">FINSEQ_1:def 18</a></span>;<br/>
<a NAME="E5:18"/><span class="kw">then </span>
 <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <span class="p1">(<span class="default"><a href="substut1.html#K4" title="SUBSTUT1:func.4">@</a> <font color="Maroon" title="c4">ll</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c1">k</font>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="substut1.html#D4" title="SUBSTUT1:def.4">SUBSTUT1:def 4</a></span>;<br/>
<a NAME="E6:18"/><span class="kw">then </span>
 <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c5">s</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c1">k</font>
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:18"><span class="lab"><font color="Green" title="E10">A1</font></span></a>, <a class="ref" href="substut1.html#D3" title="SUBSTUT1:def.3">SUBSTUT1:def 3</a></span>;<br/>
<a NAME="E7:18"/><span class="kw">then </span>
<font color="Maroon" title="c5">s</font> is   <a href="cqc_lang.html#NM2" title="CQC_LANG:NM.2">CQC-variable_list</a> of <font color="Maroon" title="c1">k</font>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="substut1.html#T34" title="SUBSTUT1:th.34">SUBSTUT1:34</a></span>;<br/>
<span class="kw">hence </span><a NAME="E8:18"/>
 <a href="substut1.html#K3" title="SUBSTUT1:func.3">CQC_Subst</a> <font color="Maroon" title="c2">ll</font>,<font color="Maroon" title="c3">Sub</font> is   <a href="cqc_lang.html#NM2" title="CQC_LANG:NM.2">CQC-variable_list</a> of <font color="Maroon" title="c1">k</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:18"><span class="lab"><font color="Green" title="E10">A1</font></span></a>, <a class="ref" href="substut1.html#D4" title="SUBSTUT1:def.4">SUBSTUT1:def 4</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/>


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