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<div><div><a NAME="S2"><span class="kw">scheme  </span><span class="comment"><font color="firebrick">:: AOFA_000:sch 2</font></span><br/></a><span class="lab"><font color="Green" title="E2">StructInd</font></span>{ <font color="Maroon">F<sub>1</sub></font>() <span class="kw">-&gt; </span>  <a href="aofa_000.html#V11" title="AOFA_000:attr.11">well_founded</a>   <a href="aofa_000.html#V12" title="AOFA_000:attr.12">ECIW-strict</a>  <a href="aofa_000.html#NM1" title="AOFA_000:NM.1">preIfWhileAlgebra</a>, <font color="Maroon">F<sub>2</sub></font>() <span class="kw">-&gt; </span>  <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon">F<sub>1</sub></font>(), <font color="Maroon">P<sub>1</sub></font>[   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> ] } :<br/><div class="add"><a NAME="E6:127"/>
<font color="Maroon">P<sub>1</sub></font>[<font color="Maroon">F<sub>2</sub></font>()]
 </div><span class="kw">provided</span><div class="add"><a NAME="E1:127"/><span class="lab"><font color="Green" title="E80">A1</font></span>: 
 for <font color="Olive" title="b1">I</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon">F<sub>1</sub></font>()  st <font color="Olive" title="b1">I</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="aofa_000.html#K18" title="AOFA_000:func.18">ElementaryInstructions</a> <font color="Maroon">F<sub>1</sub></font>() holds <br/><font color="Maroon">P<sub>1</sub></font>[<font color="Olive" title="b1">I</font>]
 <span class="kw">and </span><br/><a NAME="E2:127"/><span class="lab"><font color="Green" title="E81">A2</font></span>: 
<font color="Maroon">P<sub>1</sub></font>[ <a href="aofa_000.html#K12" title="AOFA_000:func.12">EmptyIns</a> <font color="Maroon">F<sub>1</sub></font>()]
 <span class="kw">and </span><br/><a NAME="E3:127"/><span class="lab"><font color="Green" title="E82">A3</font></span>: 
 for <font color="Olive" title="b1">I1</font>, <font color="Olive" title="b2">I2</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon">F<sub>1</sub></font>()  st <font color="Maroon">P<sub>1</sub></font>[<font color="Olive" title="b1">I1</font>] &amp; <font color="Maroon">P<sub>1</sub></font>[<font color="Olive" title="b2">I2</font>] holds <br/><font color="Maroon">P<sub>1</sub></font>[<font color="Olive" title="b1">I1</font> <a href="aofa_000.html#K13" title="AOFA_000:func.13">\;</a> <font color="Olive" title="b2">I2</font>]
 <span class="kw">and </span><br/><a NAME="E4:127"/><span class="lab"><font color="Green" title="E83">A4</font></span>: 
 for <font color="Olive" title="b1">C</font>, <font color="Olive" title="b2">I1</font>, <font color="Olive" title="b3">I2</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon">F<sub>1</sub></font>()  st <font color="Maroon">P<sub>1</sub></font>[<font color="Olive" title="b1">C</font>] &amp; <font color="Maroon">P<sub>1</sub></font>[<font color="Olive" title="b2">I1</font>] &amp; <font color="Maroon">P<sub>1</sub></font>[<font color="Olive" title="b3">I2</font>] holds <br/><font color="Maroon">P<sub>1</sub></font>[ <a href="aofa_000.html#K14" title="AOFA_000:func.14">if-then-else</a> (<font color="Olive" title="b1">C</font>,<font color="Olive" title="b2">I1</font>,<font color="Olive" title="b3">I2</font>)]
 <span class="kw">and </span><br/><a NAME="E5:127"/><span class="lab"><font color="Green" title="E84">A5</font></span>: 
 for <font color="Olive" title="b1">C</font>, <font color="Olive" title="b2">I</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon">F<sub>1</sub></font>()  st <font color="Maroon">P<sub>1</sub></font>[<font color="Olive" title="b1">C</font>] &amp; <font color="Maroon">P<sub>1</sub></font>[<font color="Olive" title="b2">I</font>] holds <br/><font color="Maroon">P<sub>1</sub></font>[ <a href="aofa_000.html#K16" title="AOFA_000:func.16">while</a> (<font color="Olive" title="b1">C</font>,<font color="Olive" title="b2">I</font>)]
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