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<div>:: <span class="kw">deftheorem </span>   defines <a href="compos_1.html#R1" title="COMPOS_1:pred.1">halts_at</a> <a onclick="hs(this)" href="javascript:()">COMPOS_1:def 12 : <br/></a><span> for <font color="Olive" title="b1">S</font> being    <a href="compos_1.html#L1" title="COMPOS_1:struct.1">COM-Struct</a> <br/>  for <font color="Olive" title="b2">p</font> being   <a href="numbers.html#NK1" title="NUMBERS:NK.1">NAT</a>  <a href="relat_1.html#V4" title="RELAT_1:attr.4">-defined</a>   the <a href="compos_1.html#U1" title="COMPOS_1:sel.1">InstructionsF</a> of <font color="Olive">b<sub>1</sub></font> <a href="relat_1.html#V5" title="RELAT_1:attr.5">-valued</a>  <a href="funct_1.html#NM1" title="FUNCT_1:NM.1">Function</a><br/>  for <font color="Olive" title="b3">l</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>  holds <br/> ( <font color="Olive" title="b2">p</font> <a href="compos_1.html#R1" title="COMPOS_1:pred.1">halts_at</a> <font color="Olive" title="b3">l</font> iff ( <font color="Olive" title="b3">l</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="relat_1.html#NK1" title="RELAT_1:NK.1">dom</a> <font color="Olive" title="b2">p</font> &amp; <font color="Olive" title="b2">p</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b3">l</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="compos_1.html#K2" title="COMPOS_1:func.2">halt</a> <font color="Olive" title="b1">S</font> ) );<br/></span></div>
