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<div><span class="kw">theorem </span><a NAME="T24"><span class="comment"><font color="firebrick">:: MODELC_1:24</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">H1</font>, <font color="Olive" title="b2">H2</font> being   <a href="modelc_1.html#NM1" title="MODELC_1:NM.1">CTL-formula</a><br/>  for <font color="Olive" title="b3">S</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b4">R</font> being   <a href="partfun1.html#V1" title="PARTFUN1:attr.1">total</a>  <a href="relset_1.html#NM1" title="RELSET_1:NM.1">Relation</a> of <font color="Olive" title="b3">S</font>,<font color="Olive" title="b3">S</font><br/>  for <font color="Olive" title="b5">s</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Olive" title="b3">S</font><br/>  for <font color="Olive" title="b6">BASSIGN</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>  <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <span class="p1">(<span class="default"><a href="modelc_1.html#K30" title="MODELC_1:func.30">ModelSP</a> <font color="Olive" title="b3">S</font></span>)</span><br/>  for <font color="Olive" title="b7">kai</font> being   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of <a href="modelc_1.html#K18" title="MODELC_1:func.18">atomic_WFF</a>, the <a href="modelc_1.html#U3" title="MODELC_1:sel.3">BasicAssign</a> of <span class="p1">(<span class="default"><a href="modelc_1.html#K48" title="MODELC_1:func.48">BASSModel</a> (<font color="Olive" title="b4">R</font>,<font color="Olive" title="b6">BASSIGN</font>)</span>)</span> holds <br/> ( <font color="Olive" title="b5">s</font>,<font color="Olive" title="b7">kai</font> <a href="modelc_1.html#R4" title="MODELC_1:pred.4">|=</a> <font color="Olive" title="b1">H1</font> <a href="modelc_1.html#K11" title="MODELC_1:func.11">EU</a> <font color="Olive" title="b2">H2</font> iff  ex <font color="Olive" title="b8">pai</font> being    <a href="modelc_1.html#M1" title="MODELC_1:mode.1">inf_path</a> of <font color="Olive" title="b4">R</font> st <br/>( <font color="Olive" title="b8">pai</font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <a href="numbers.html#K5" title="NUMBERS:func.5">0</a> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b5">s</font> &amp;  ex <font color="Olive" title="b9">m</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="numbers.html#NK1" title="NUMBERS:NK.1">NAT</a>  st <br/>( (  for <font color="Olive" title="b10">j</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="numbers.html#NK1" title="NUMBERS:NK.1">NAT</a>   st <font color="Olive" title="b10">j</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Olive" title="b9">m</font> holds <br/><font color="Olive" title="b8">pai</font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Olive" title="b10">j</font>,<font color="Olive" title="b7">kai</font> <a href="modelc_1.html#R4" title="MODELC_1:pred.4">|=</a> <font color="Olive" title="b1">H1</font> ) &amp; <font color="Olive" title="b8">pai</font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Olive" title="b9">m</font>,<font color="Olive" title="b7">kai</font> <a href="modelc_1.html#R4" title="MODELC_1:pred.4">|=</a> <font color="Olive" title="b2">H2</font> ) ) )</div></div>
