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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E105">Def49</font></span>   defines <a href="modelc_3.html#K36" title="MODELC_3:func.36">chosen_next</a> <a onclick="hs(this)" href="javascript:()">MODELC_3:def 49 : <br/></a><span> for <font color="Olive" title="b1">w</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="modelc_2.html#K25" title="MODELC_2:func.25">Inf_seq</a> <a href="modelc_2.html#K43" title="MODELC_2:func.43">AtomicFamily</a><br/>  for <font color="Olive" title="b2">v</font> being   <a href="modelc_3.html#V5" title="MODELC_3:attr.5">neg-inner-most</a>  <a href="modelc_2.html#NM1" title="MODELC_2:NM.1">LTL-formula</a><br/>  for <font color="Olive" title="b3">U</font> being   <a href="orders_1.html#NM3" title="ORDERS_1:NM.3">Choice_Function</a> of <span class="p1">(<span class="default"><a href="orders_1.html#K1" title="ORDERS_1:func.1">BOOL</a> <span class="p2">(<span class="default"><a href="modelc_3.html#K1" title="MODELC_3:func.1">Subformulae</a> <font color="Olive" title="b2">v</font></span>)</span></span>)</span><br/>  for <font color="Olive" title="b4">N</font> being   <a href="modelc_3.html#V1" title="MODELC_3:attr.1">strict</a>   <a href="modelc_3.html#L1" title="MODELC_3:struct.1">LTLnode</a> over <font color="Olive" title="b2">v</font>  st <font color="Olive" title="b1">w</font> <a href="modelc_2.html#R8" title="MODELC_2:pred.8">|=</a>  <a href="modelc_3.html#K14" title="MODELC_3:func.14">*</a> <span class="p1">(<span class="default"><a href="modelc_3.html#K12" title="MODELC_3:func.12">'X'</a> <font color="Olive" title="b4">N</font></span>)</span> holds <br/>( (  not  <a href="modelc_3.html#K12" title="MODELC_3:func.12">'X'</a> <font color="Olive" title="b4">N</font> is  <a href="modelc_3.html#V3" title="MODELC_3:attr.3">elementary</a>  implies  <a href="modelc_3.html#K36" title="MODELC_3:func.36">chosen_next</a> (<font color="Olive" title="b1">w</font>,<font color="Olive" title="b2">v</font>,<font color="Olive" title="b3">U</font>,<font color="Olive" title="b4">N</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="modelc_3.html#K10" title="MODELC_3:func.10">CastNode</a> (<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="modelc_3.html#K26" title="MODELC_3:func.26">choice_succ_func</a> (<font color="Olive" title="b1">w</font>,<font color="Olive" title="b2">v</font>,<font color="Olive" title="b3">U</font>)</span>)</span> <a href="modelc_1.html#K29" title="MODELC_1:func.29">|**</a> <span class="p3">(<span class="default"><a href="modelc_3.html#K35" title="MODELC_3:func.35">chosen_succ_end_num</a> (<font color="Olive" title="b1">w</font>,<font color="Olive" title="b2">v</font>,<font color="Olive" title="b3">U</font>,<span class="p4">(<span class="default"><a href="modelc_3.html#K12" title="MODELC_3:func.12">'X'</a> <font color="Olive" title="b4">N</font></span>)</span>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p2">(<span class="default"><a href="modelc_3.html#K12" title="MODELC_3:func.12">'X'</a> <font color="Olive" title="b4">N</font></span>)</span></span>)</span>,<font color="Olive" title="b2">v</font>) ) &amp; (  <a href="modelc_3.html#K12" title="MODELC_3:func.12">'X'</a> <font color="Olive" title="b4">N</font> is  <a href="modelc_3.html#V3" title="MODELC_3:attr.3">elementary</a>  implies  <a href="modelc_3.html#K36" title="MODELC_3:func.36">chosen_next</a> (<font color="Olive" title="b1">w</font>,<font color="Olive" title="b2">v</font>,<font color="Olive" title="b3">U</font>,<font color="Olive" title="b4">N</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="modelc_3.html#K9" title="MODELC_3:func.9">FinalNode</a> <font color="Olive" title="b2">v</font> ) );<br/></span></div>
