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<b>set </b><font color="Maroon">IS</font> =  <a href="scmisort.html#K4" target="_self">Insert-Sort-Algorithm</a> ;<br/>
<b>set </b><font color="Maroon">Ii</font> =  <a href="scmfsa6a.html#K3">Initialized</a> <a href="scmisort.html#K4" target="_self">Insert-Sort-Algorithm</a> ;<br/>
<b>let </b><font color="Maroon">i</font> be    <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K5">NAT</a> ;<br/><b>let </b><font color="Maroon">s</font> be   <a href="ami_1.html#NM4">State</a> of <a href="scmfsa_2.html#K1">SCM+FSA</a> ;<br/><b>let </b><font color="Maroon">w</font> be    <a href="finseq_1.html#M2">FinSequence</a> of  <a href="numbers.html#K4">INT</a> ;<br/>





<b>set </b><font color="Maroon">x</font> = <span class="p1">(<span class="default"><a href="scmfsa_2.html#K6">fsloc</a> 0</span>)</span> <a href="scmbsort.html#K1">.--&gt;</a> <font color="Maroon">w</font>;<br/>
<b>assume </b><a NAME="E1:69"/><i><font color="Green">E35</font></i>: 
<span class="p1">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <a href="scmisort.html#K4" target="_self">Insert-Sort-Algorithm</a> </span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="scmfsa_2.html#K6">fsloc</a> 0</span>)</span> <a href="scmbsort.html#K1">.--&gt;</a> <font color="Maroon">w</font></span>)</span> <a href="tarski.html#R1">c=</a> <font color="Maroon">s</font>
 ;<br/>

<a NAME="E2:69"/>
 <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <a href="scmisort.html#K4" target="_self">Insert-Sort-Algorithm</a> </span>)</span> <a href="xboole_0.html#R1">misses</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="scmfsa_2.html#K6">fsloc</a> 0</span>)</span> <a href="scmbsort.html#K1">.--&gt;</a> <font color="Maroon">w</font></span>)</span>
 
<b>by </b><i><a class="ref" href="scmbsort.html#T46">SCMBSORT:46</a></i>;<br/>
<a NAME="E3:69"/><b>then </b>
 <a href="scmfsa6a.html#K3">Initialized</a> <a href="scmisort.html#K4" target="_self">Insert-Sort-Algorithm</a>  <a href="tarski.html#R1">c=</a> <span class="p1">(<span class="default"><a href="scmfsa6a.html#K3">Initialized</a> <a href="scmisort.html#K4" target="_self">Insert-Sort-Algorithm</a> </span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="scmfsa_2.html#K6">fsloc</a> 0</span>)</span> <a href="scmbsort.html#K1">.--&gt;</a> <font color="Maroon">w</font></span>)</span>
 
<b>by </b><i><a class="ref" href="funct_4.html#T33">FUNCT_4:33</a></i>;<br/>
<a NAME="E4:69"/><b>then </b><i><font color="Green">E41</font></i>: 
 <a href="scmfsa6a.html#K3">Initialized</a> <a href="scmisort.html#K4" target="_self">Insert-Sort-Algorithm</a>  <a href="tarski.html#R1">c=</a> <font color="Maroon">s</font>
 
<b>by </b><i>, <a class="ref" href="xboole_1.html#T1">XBOOLE_1:1</a></i>;<br/>
<a NAME="E5:69"/>
 <a href="scmisort.html#K4" target="_self">Insert-Sort-Algorithm</a>  is  <a href="scm_halt.html#V2">InitHalting</a> <a href="scmfsa6a.html#NM1">Macro-Instruction</a>
 
<b>by </b><i/>;<br/>
<b>hence </b><a NAME="E6:69"/>
 <a href="ami_1.html#K6">IC</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">s</font></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">i</font></span>)</span> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <a href="scmisort.html#K4" target="_self">Insert-Sort-Algorithm</a> 
 <b>by </b><i>, <a class="ref" href="scm_halt.html#D1">SCM_HALT:def 1</a></i>;<br/>


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