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<span class="kw">let </span><font color="Maroon" title="c1">S</font> be   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> ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  for <font color="Olive" title="b1">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> <span class="p2">(<span class="default"><a href="modelc_2.html#K25" title="MODELC_2:func.25">Inf_seq</a> <font color="Maroon" title="c1">S</font></span>)</span></span>)</span><br/>  for <font color="Olive" title="b2">t</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> <font color="Maroon" title="c1">S</font><br/>  for <font color="Olive" title="b3">f</font>, <font color="Olive" title="b4">g</font> being   <a href="modelc_2.html#NM2" title="MODELC_2:NM.2">Assign</a> of <span class="p1">(<span class="default"><a href="modelc_2.html#K42" title="MODELC_2:func.42">Inf_seqModel</a> (<font color="Maroon" title="c1">S</font>,<font color="Olive" title="b1">BASSIGN</font>)</span>)</span> holds <br/> ( <font color="Olive" title="b2">t</font> <a href="modelc_2.html#R6" title="MODELC_2:pred.6">|=</a> <font color="Olive" title="b3">f</font> <a href="modelc_2.html#NK24" title="MODELC_2:NK.24">'or'</a> <font color="Olive" title="b4">g</font> iff ( <font color="Olive" title="b2">t</font> <a href="modelc_2.html#R6" title="MODELC_2:pred.6">|=</a> <font color="Olive" title="b3">f</font> or <font color="Olive" title="b2">t</font> <a href="modelc_2.html#R6" title="MODELC_2:pred.6">|=</a> <font color="Olive" title="b4">g</font> ) )</span><br/><span class="kw">let </span><font color="Maroon" title="c2">BASSIGN</font> be   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> <span class="p2">(<span class="default"><a href="modelc_2.html#K25" title="MODELC_2:func.25">Inf_seq</a> <font color="Maroon" title="c1">S</font></span>)</span></span>)</span>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  for <font color="Olive" title="b1">t</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> <font color="Maroon" title="c1">S</font><br/>  for <font color="Olive" title="b2">f</font>, <font color="Olive" title="b3">g</font> being   <a href="modelc_2.html#NM2" title="MODELC_2:NM.2">Assign</a> of <span class="p1">(<span class="default"><a href="modelc_2.html#K42" title="MODELC_2:func.42">Inf_seqModel</a> (<font color="Maroon" title="c1">S</font>,<font color="Maroon" title="c2">BASSIGN</font>)</span>)</span> holds <br/> ( <font color="Olive" title="b1">t</font> <a href="modelc_2.html#R6" title="MODELC_2:pred.6">|=</a> <font color="Olive" title="b2">f</font> <a href="modelc_2.html#NK24" title="MODELC_2:NK.24">'or'</a> <font color="Olive" title="b3">g</font> iff ( <font color="Olive" title="b1">t</font> <a href="modelc_2.html#R6" title="MODELC_2:pred.6">|=</a> <font color="Olive" title="b2">f</font> or <font color="Olive" title="b1">t</font> <a href="modelc_2.html#R6" title="MODELC_2:pred.6">|=</a> <font color="Olive" title="b3">g</font> ) )</span><br/><span class="kw">let </span><font color="Maroon" title="c3">t</font> be    <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> <font color="Maroon" title="c1">S</font>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  for <font color="Olive" title="b1">f</font>, <font color="Olive" title="b2">g</font> being   <a href="modelc_2.html#NM2" title="MODELC_2:NM.2">Assign</a> of <span class="p1">(<span class="default"><a href="modelc_2.html#K42" title="MODELC_2:func.42">Inf_seqModel</a> (<font color="Maroon" title="c1">S</font>,<font color="Maroon" title="c2">BASSIGN</font>)</span>)</span> holds <br/> ( <font color="Maroon" title="c3">t</font> <a href="modelc_2.html#R6" title="MODELC_2:pred.6">|=</a> <font color="Olive" title="b1">f</font> <a href="modelc_2.html#NK24" title="MODELC_2:NK.24">'or'</a> <font color="Olive" title="b2">g</font> iff ( <font color="Maroon" title="c3">t</font> <a href="modelc_2.html#R6" title="MODELC_2:pred.6">|=</a> <font color="Olive" title="b1">f</font> or <font color="Maroon" title="c3">t</font> <a href="modelc_2.html#R6" title="MODELC_2:pred.6">|=</a> <font color="Olive" title="b2">g</font> ) )</span><br/><span class="kw">let </span><font color="Maroon" title="c4">f</font>, <font color="Maroon" title="c5">g</font> be   <a href="modelc_2.html#NM2" title="MODELC_2:NM.2">Assign</a> of <span class="p1">(<span class="default"><a href="modelc_2.html#K42" title="MODELC_2:func.42">Inf_seqModel</a> (<font color="Maroon" title="c1">S</font>,<font color="Maroon" title="c2">BASSIGN</font>)</span>)</span>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c3">t</font> <a href="modelc_2.html#R6" title="MODELC_2:pred.6">|=</a> <font color="Maroon" title="c4">f</font> <a href="modelc_2.html#NK24" title="MODELC_2:NK.24">'or'</a> <font color="Maroon" title="c5">g</font> iff ( <font color="Maroon" title="c3">t</font> <a href="modelc_2.html#R6" title="MODELC_2:pred.6">|=</a> <font color="Maroon" title="c4">f</font> or <font color="Maroon" title="c3">t</font> <a href="modelc_2.html#R6" title="MODELC_2:pred.6">|=</a> <font color="Maroon" title="c5">g</font> ) )</span><br/>









<a NAME="E1:150"/>
( <font color="Maroon" title="c3">t</font> <a href="modelc_2.html#R6" title="MODELC_2:pred.6">|=</a> <font color="Maroon" title="c4">f</font> <a href="modelc_2.html#NK24" title="MODELC_2:NK.24">'or'</a> <font color="Maroon" title="c5">g</font> iff <font color="Maroon" title="c3">t</font> <a href="modelc_2.html#R6" title="MODELC_2:pred.6">|=</a>  <a href="modelc_2.html#NK22" title="MODELC_2:NK.22">'not'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="modelc_2.html#NK22" title="MODELC_2:NK.22">'not'</a> <font color="Maroon" title="c4">f</font></span>)</span> <a href="modelc_2.html#NK23" title="MODELC_2:NK.23">'&amp;'</a> <span class="p2">(<span class="default"><a href="modelc_2.html#NK22" title="MODELC_2:NK.22">'not'</a> <font color="Maroon" title="c5">g</font></span>)</span></span>)</span> )
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="modelc_2.html#D54" target="_self" onmouseover="rs('modelc_2/D54')" onmouseout="rh()">Def54</a></span>;<br/>
<a NAME="E2:150"/><span class="kw">then </span>
( <font color="Maroon" title="c3">t</font> <a href="modelc_2.html#R6" title="MODELC_2:pred.6">|=</a> <font color="Maroon" title="c4">f</font> <a href="modelc_2.html#NK24" title="MODELC_2:NK.24">'or'</a> <font color="Maroon" title="c5">g</font> iff  not <font color="Maroon" title="c3">t</font> <a href="modelc_2.html#R6" title="MODELC_2:pred.6">|=</a> <span class="p1">(<span class="default"><a href="modelc_2.html#NK22" title="MODELC_2:NK.22">'not'</a> <font color="Maroon" title="c4">f</font></span>)</span> <a href="modelc_2.html#NK23" title="MODELC_2:NK.23">'&amp;'</a> <span class="p1">(<span class="default"><a href="modelc_2.html#NK22" title="MODELC_2:NK.22">'not'</a> <font color="Maroon" title="c5">g</font></span>)</span> )
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="modelc_2.html#T57" target="_self" onmouseover="rs('modelc_2/T57')" onmouseout="rh()">Th57</a></span>;<br/>
<a NAME="E3:150"/><span class="kw">then </span>
( <font color="Maroon" title="c3">t</font> <a href="modelc_2.html#R6" title="MODELC_2:pred.6">|=</a> <font color="Maroon" title="c4">f</font> <a href="modelc_2.html#NK24" title="MODELC_2:NK.24">'or'</a> <font color="Maroon" title="c5">g</font> iff (  not <font color="Maroon" title="c3">t</font> <a href="modelc_2.html#R6" title="MODELC_2:pred.6">|=</a>  <a href="modelc_2.html#NK22" title="MODELC_2:NK.22">'not'</a> <font color="Maroon" title="c4">f</font> or  not <font color="Maroon" title="c3">t</font> <a href="modelc_2.html#R6" title="MODELC_2:pred.6">|=</a>  <a href="modelc_2.html#NK22" title="MODELC_2:NK.22">'not'</a> <font color="Maroon" title="c5">g</font> ) )
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="modelc_2.html#T58" target="_self" onmouseover="rs('modelc_2/T58')" onmouseout="rh()">Th58</a></span>;<br/>
<span class="kw">hence </span><a NAME="E4:150"/>
( <font color="Maroon" title="c3">t</font> <a href="modelc_2.html#R6" title="MODELC_2:pred.6">|=</a> <font color="Maroon" title="c4">f</font> <a href="modelc_2.html#NK24" title="MODELC_2:NK.24">'or'</a> <font color="Maroon" title="c5">g</font> iff ( <font color="Maroon" title="c3">t</font> <a href="modelc_2.html#R6" title="MODELC_2:pred.6">|=</a> <font color="Maroon" title="c4">f</font> or <font color="Maroon" title="c3">t</font> <a href="modelc_2.html#R6" title="MODELC_2:pred.6">|=</a> <font color="Maroon" title="c5">g</font> ) )
 <span class="kw">by</span> <span class="lab"><a class="ref" href="modelc_2.html#T57" target="_self" onmouseover="rs('modelc_2/T57')" onmouseout="rh()">Th57</a></span>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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