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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E77">Th41</font></span>: <a NAME="T41"><span class="comment"><font color="firebrick">:: MODELC_3:41</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">H</font>, <font color="Olive" title="b2">v</font> being   <a href="modelc_2.html#NM1" title="MODELC_2:NM.1">LTL-formula</a><br/>  for <font color="Olive" title="b3">s0</font>, <font color="Olive" title="b4">s1</font> being   <a href="modelc_3.html#V1" title="MODELC_3:attr.1">strict</a>   <a href="modelc_3.html#V3" title="MODELC_3:attr.3">elementary</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="b4">s1</font> <a href="modelc_3.html#R6" title="MODELC_3:pred.6">is_next_of</a> <font color="Olive" title="b3">s0</font> &amp; <font color="Olive" title="b1">H</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  the <a href="modelc_3.html#U1" title="MODELC_3:sel.1">LTLold</a> of <font color="Olive" title="b4">s1</font> holds <br/>( ( <font color="Olive" title="b1">H</font> is  <a href="modelc_2.html#V4" title="MODELC_2:attr.4">conjunctive</a>  implies (  <a href="modelc_2.html#K11" title="MODELC_2:func.11">the_left_argument_of</a> <font color="Olive" title="b1">H</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  the <a href="modelc_3.html#U1" title="MODELC_3:sel.1">LTLold</a> of <font color="Olive" title="b4">s1</font> &amp;  <a href="modelc_2.html#K12" title="MODELC_2:func.12">the_right_argument_of</a> <font color="Olive" title="b1">H</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  the <a href="modelc_3.html#U1" title="MODELC_3:sel.1">LTLold</a> of <font color="Olive" title="b4">s1</font> ) ) &amp; ( (  not <font color="Olive" title="b1">H</font> is  <a href="modelc_2.html#V5" title="MODELC_2:attr.5">disjunctive</a>  &amp;  not <font color="Olive" title="b1">H</font> is  <a href="modelc_2.html#V7" title="MODELC_2:attr.7">Until</a>  ) or  <a href="modelc_2.html#K11" title="MODELC_2:func.11">the_left_argument_of</a> <font color="Olive" title="b1">H</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  the <a href="modelc_3.html#U1" title="MODELC_3:sel.1">LTLold</a> of <font color="Olive" title="b4">s1</font> or  <a href="modelc_2.html#K12" title="MODELC_2:func.12">the_right_argument_of</a> <font color="Olive" title="b1">H</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  the <a href="modelc_3.html#U1" title="MODELC_3:sel.1">LTLold</a> of <font color="Olive" title="b4">s1</font> ) &amp; ( <font color="Olive" title="b1">H</font> is  <a href="modelc_2.html#V6" title="MODELC_2:attr.6">next</a>  implies  <a href="modelc_2.html#K10" title="MODELC_2:func.10">the_argument_of</a> <font color="Olive" title="b1">H</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  the <a href="modelc_3.html#U3" title="MODELC_3:sel.3">LTLnext</a> of <font color="Olive" title="b4">s1</font> ) &amp; ( <font color="Olive" title="b1">H</font> is  <a href="modelc_2.html#V8" title="MODELC_2:attr.8">Release</a>  implies  <a href="modelc_2.html#K12" title="MODELC_2:func.12">the_right_argument_of</a> <font color="Olive" title="b1">H</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  the <a href="modelc_3.html#U1" title="MODELC_3:sel.1">LTLold</a> of <font color="Olive" title="b4">s1</font> ) )</div></div>
