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<b>let </b><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:()"><i><font color="Red">::  thesis: </font></i></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/><b>let </b><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:()"><i><font color="Red">::  thesis: </font></i></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/><b>let </b><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:()"><i><font color="Red">::  thesis: </font></i></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/>





<b>reconsider </b><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>  <b>by </b><i><a class="ref" href="substut1.html#T34" title="SUBSTUT1:th.34">SUBSTUT1:34</a></i>;<br/>
<b>reconsider </b><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="E3:17"/><i><font color="Green" title="E10">A1</font></i>: 
<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>
 
<b>by </b><i><a class="ref" href="substut1.html#D5" title="SUBSTUT1:def.5">SUBSTUT1:def 5</a></i>;<br/>
<a NAME="E4:17"/>
 <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>
 
<b>by </b><i><a class="ref" href="qc_lang1.html#D8" title="QC_LANG1:def.8">QC_LANG1:def 8</a></i>;<br/>
<a NAME="E5:17"/><b>then </b>
 <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>
 
<b>by </b><i><a class="ref" href="substut1.html#D4" title="SUBSTUT1:def.4">SUBSTUT1:def 4</a></i>;<br/>
<a NAME="E6:17"/><b>then </b>
 <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>
 
<b>by </b><i><a class="txt" href="sublemma.html#E3:17"><i><font color="Green" title="E10">A1</font></i></a>, <a class="ref" href="substut1.html#D3" title="SUBSTUT1:def.3">SUBSTUT1:def 3</a></i>;<br/>
<a NAME="E7:17"/><b>then </b>
<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>
 
<b>by </b><i><a class="ref" href="substut1.html#T34" title="SUBSTUT1:th.34">SUBSTUT1:34</a></i>;<br/>
<b>hence </b><a NAME="E8:17"/>
 <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>
 <b>by </b><i><a class="txt" href="sublemma.html#E3:17"><i><font color="Green" title="E10">A1</font></i></a>, <a class="ref" href="substut1.html#D4" title="SUBSTUT1:def.4">SUBSTUT1:def 4</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


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