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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E15">Th12</font></span>: <a NAME="T12"><span class="comment"><font color="firebrick">:: AMISTD_5:12</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">N</font> being   <a href="measure6.html#NV2" title="MEASURE6:NV.2">with_zero</a>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b2">S</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="memstr_0.html#V2" title="MEMSTR_0:attr.2">with_non-empty_values</a>   <a href="memstr_0.html#V3" title="MEMSTR_0:attr.3">IC-Ins-separated</a>   <a href="extpro_1.html#V3" title="EXTPRO_1:attr.3">halting</a>   <a href="amistd_5.html#V2" title="AMISTD_5:attr.2">relocable</a>   <a href="amistd_5.html#V3" title="AMISTD_5:attr.3">IC-recognized</a>   <a href="amistd_5.html#V4" title="AMISTD_5:attr.4">CurIns-recognized</a>   <a href="amistd_5.html#V5" title="AMISTD_5:attr.5">relocable1</a>   <a href="amistd_5.html#V6" title="AMISTD_5:attr.6">relocable2</a>   <a href="extpro_1.html#L1" title="EXTPRO_1:struct.1">AMI-Struct</a> over <font color="Olive" title="b1">N</font><br/>  for <font color="Olive" title="b3">q</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>2</sub></font> <a href="relat_1.html#V5" title="RELAT_1:attr.5">-valued</a>   <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a>   non  <a href="compos_1.html#V2" title="COMPOS_1:attr.2">halt-free</a>  <a href="funct_1.html#NM1" title="FUNCT_1:NM.1">Function</a><br/>  for <font color="Olive" title="b4">p</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>  <font color="Olive">b<sub>3</sub></font> <a href="extpro_1.html#V4" title="EXTPRO_1:attr.4">-autonomic</a>  <a href="memstr_0.html#NM4" title="MEMSTR_0:NM.4">FinPartState</a> of <font color="Olive" title="b2">S</font><br/>  for <font color="Olive" title="b5">k</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a>  st  <a href="memstr_0.html#NK2" title="MEMSTR_0:NK.2">IC</a>  <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="b4">p</font> holds <br/>( <font color="Olive" title="b4">p</font> is <font color="Olive" title="b3">q</font> <a href="extpro_1.html#V5" title="EXTPRO_1:attr.5">-halted</a>  iff  <a href="memstr_0.html#K9" title="MEMSTR_0:func.9">IncIC</a> (<font color="Olive" title="b4">p</font>,<font color="Olive" title="b5">k</font>) is  <a href="compos_1.html#K6" title="COMPOS_1:func.6">Reloc</a> (<font color="Olive" title="b3">q</font>,<font color="Olive" title="b5">k</font>) <a href="extpro_1.html#V5" title="EXTPRO_1:attr.5">-halted</a>  )</div></div>
