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<div>:: <span class="kw">deftheorem </span>   defines <a href="aofa_000.html#K18" title="AOFA_000:func.18">ElementaryInstructions</a> <a onclick="hs(this)" href="javascript:()">AOFA_000:def 22 : <br/></a><span> for <font color="Olive" title="b1">A</font> being   <a href="aofa_000.html#NM1" title="AOFA_000:NM.1">preIfWhileAlgebra</a> holds   <a href="aofa_000.html#K18" title="AOFA_000:func.18">ElementaryInstructions</a> <font color="Olive" title="b1">A</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b1">A</font> <a href="subset_1.html#K6" title="SUBSET_1:func.6">\</a> <span class="p4"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><span class="p5">(<span class="default"><a href="aofa_000.html#K12" title="AOFA_000:func.12">EmptyIns</a> <font color="Olive" title="b1">A</font></span>)</span></span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span></span>)</span> <a href="subset_1.html#K7" title="SUBSET_1:func.7">\</a> <span class="p3">(<span class="default"><a href="relset_1.html#K2" title="RELSET_1:func.2">rng</a> <span class="p4">(<span class="default"><a href="pua2mss1.html#K2" title="PUA2MSS1:func.2">Den</a> (<span class="p5">(<span class="default"><a href="subset_1.html#K10" title="SUBSET_1:func.10">In</a> (3,<span class="p0">(<span class="default"><a href="finseq_1.html#K4" title="FINSEQ_1:func.4">dom</a>  the <a href="unialg_1.html#U1" title="UNIALG_1:sel.1">charact</a> of <font color="Olive" title="b1">A</font></span>)</span>)</span>)</span>,<font color="Olive" title="b1">A</font>)</span>)</span></span>)</span></span>)</span> <a href="subset_1.html#K7" title="SUBSET_1:func.7">\</a> <span class="p2">(<span class="default"><a href="relset_1.html#K2" title="RELSET_1:func.2">rng</a> <span class="p3">(<span class="default"><a href="pua2mss1.html#K2" title="PUA2MSS1:func.2">Den</a> (<span class="p4">(<span class="default"><a href="subset_1.html#K10" title="SUBSET_1:func.10">In</a> (4,<span class="p5">(<span class="default"><a href="finseq_1.html#K4" title="FINSEQ_1:func.4">dom</a>  the <a href="unialg_1.html#U1" title="UNIALG_1:sel.1">charact</a> of <font color="Olive" title="b1">A</font></span>)</span>)</span>)</span>,<font color="Olive" title="b1">A</font>)</span>)</span></span>)</span></span>)</span> <a href="subset_1.html#K7" title="SUBSET_1:func.7">\</a> <span class="p1"> { <span class="default"> <span class="p2">(<span class="default"><font color="Olive" title="b2">I1</font> <a href="aofa_000.html#K13" title="AOFA_000:func.13">\;</a> <font color="Olive" title="b3">I2</font></span>)</span> where <font color="Olive" title="b2">I1</font>, <font color="Olive" title="b3">I2</font> is   <a href="aofa_000.html#NM2" title="AOFA_000:NM.2">Algorithm</a> of <font color="Olive" title="b1">A</font> : ( <font color="Olive" title="b2">I1</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Olive" title="b2">I1</font> <a href="aofa_000.html#K13" title="AOFA_000:func.13">\;</a> <font color="Olive" title="b3">I2</font> &amp; <font color="Olive" title="b3">I2</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Olive" title="b2">I1</font> <a href="aofa_000.html#K13" title="AOFA_000:func.13">\;</a> <font color="Olive" title="b3">I2</font> ) </span> } </span> ;<br/></span></div>
