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<span class="kw">set </span><font color="Maroon" title="c3">X</font> =  the   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> ;<br/>
<span class="kw">reconsider </span><font color="Maroon" title="c4">T</font> =  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  as   <a href="relset_1.html#NM1" title="RELSET_1:NM.1">Relation</a> of <span class="p1"><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">[:</a><span class="default"> the   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> ,<font color="Maroon" title="c2">F</font></span><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">:]</a></span>, the   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>  <span class="kw">by</span> <span class="lab"><a class="ref" href="relset_1.html#T12" onmouseover="rs('relset_1/T12')" onmouseout="rh()">RELSET_1:12</a></span>;<br/>
<span class="kw">set </span><font color="Maroon" title="c5">x</font> =  the    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  the   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> ;<br/>
<span class="kw">reconsider </span><font color="Maroon" title="c6">I</font> = <span class="p1"><a href="domain_1.html#K6" title="DOMAIN_1:func.6">{</a><span class="default"> the    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  the   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> </span><a href="domain_1.html#K6" title="DOMAIN_1:func.6">}</a></span> as   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of  the   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>  ;<br/>
<span class="kw">take </span><font color="Maroon" title="c7">SA</font> =  <a href="fsm_3.html#G1" title="FSM_3:aggr.1">semiautomaton</a>(#  the   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> ,<font color="Maroon" title="c4">T</font>,<font color="Maroon" title="c6">I</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"> ( <font color="Maroon" title="c7">SA</font> is  <a href="fsm_3.html#V1" title="FSM_3:attr.1">strict</a>  &amp;  not <font color="Maroon" title="c7">SA</font> is  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>  &amp; <font color="Maroon" title="c7">SA</font> is  <a href="struct_0.html#V8" title="STRUCT_0:attr.8">finite</a>  &amp; <font color="Maroon" title="c7">SA</font> is  <a href="fsm_3.html#V2" title="FSM_3:attr.2">deterministic</a>  )</span><br/>

<span class="kw">thus </span><a NAME="E3:20_1_1"/>
<font color="Maroon" title="c7">SA</font> is  <a href="fsm_3.html#V1" title="FSM_3:attr.1">strict</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"> (  not <font color="Maroon" title="c7">SA</font> is  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>  &amp; <font color="Maroon" title="c7">SA</font> is  <a href="struct_0.html#V8" title="STRUCT_0:attr.8">finite</a>  &amp; <font color="Maroon" title="c7">SA</font> is  <a href="fsm_3.html#V2" title="FSM_3:attr.2">deterministic</a>  )</span><br/>

<span class="kw">thus </span><a NAME="E4:20_1_1"/>
 not <font color="Maroon" title="c7">SA</font> is  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</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"> ( <font color="Maroon" title="c7">SA</font> is  <a href="struct_0.html#V8" title="STRUCT_0:attr.8">finite</a>  &amp; <font color="Maroon" title="c7">SA</font> is  <a href="fsm_3.html#V2" title="FSM_3:attr.2">deterministic</a>  )</span><br/>

<span class="kw">thus </span><a NAME="E5:20_1_1"/>
 the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c7">SA</font> is  <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a> 
 ; <span class="comment"><font color="firebrick">:: according to </font></span><a class="ref" href="struct_0.html#D11" onmouseover="rs('struct_0/D11')" onmouseout="rh()">STRUCT_0:def 11</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"> <font color="Maroon" title="c7">SA</font> is  <a href="fsm_3.html#V2" title="FSM_3:attr.2">deterministic</a> </span><br/>

<span class="kw">thus </span><a NAME="E6:20_1_1"/>
 <a href="rewrite3.html#G1" title="REWRITE3:aggr.1">transition-system</a>(#  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c7">SA</font>, the <a href="rewrite3.html#U1" title="REWRITE3:sel.1">Tran</a> of <font color="Maroon" title="c7">SA</font> #) is  <a href="rewrite3.html#V2" title="REWRITE3:attr.2">deterministic</a> 
 <span class="kw">by</span> <span class="lab"><a class="ref" href="relat_1.html#T38" onmouseover="rs('relat_1/T38')" onmouseout="rh()">RELAT_1:38</a>, <a class="ref" href="rewrite3.html#T14" onmouseover="rs('rewrite3/T14')" onmouseout="rh()">REWRITE3:14</a></span>; <span class="comment"><font color="firebrick">:: according to </font></span><a class="ref" href="fsm_3.html#D2" target="_self" onmouseover="rs('fsm_3/D2')" onmouseout="rh()">FSM_3:def 2</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">  <a href="card_1.html#K1" title="CARD_1:func.1">card</a>  the <a href="fsm_3.html#U1" title="FSM_3:sel.1">InitS</a> of <font color="Maroon" title="c7">SA</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1</span><br/>

<span class="kw">thus </span><a NAME="E7:20_1_1"/>
 <a href="card_1.html#K1" title="CARD_1:func.1">card</a>  the <a href="fsm_3.html#U1" title="FSM_3:sel.1">InitS</a> of <font color="Maroon" title="c7">SA</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1
 <span class="kw">by</span> <span class="lab"><a class="ref" href="card_1.html#T30" onmouseover="rs('card_1/T30')" onmouseout="rh()">CARD_1:30</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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