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<span class="kw">let </span><font color="Maroon" title="c1">R</font> be   <a href="relat_1.html#NM1" title="RELAT_1:NM.1">Relation</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="c1">R</font> is  <a href="relat_2.html#V1" title="RELAT_2:attr.1">reflexive</a>  &amp; <font color="Maroon" title="c1">R</font> is  <a href="relat_2.html#V6" title="RELAT_2:attr.6">connected</a>  implies <font color="Maroon" title="c1">R</font> is  <a href="relat_2.html#V7" title="RELAT_2:attr.7">strongly_connected</a>  )</span><br/>

<span class="kw">assume </span><a NAME="E1:18_1_1"/>
( <font color="Maroon" title="c1">R</font> is  <a href="relat_2.html#V1" title="RELAT_2:attr.1">reflexive</a>  &amp; <font color="Maroon" title="c1">R</font> is  <a href="relat_2.html#V6" title="RELAT_2:attr.6">connected</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="c1">R</font> is  <a href="relat_2.html#V7" title="RELAT_2:attr.7">strongly_connected</a> </span><br/>

<a NAME="E2:18_1_1"/><span class="kw">then </span>
( <font color="Maroon" title="c1">R</font> <a href="relat_2.html#R6" title="RELAT_2:pred.6">is_connected_in</a>  <a href="relat_1.html#K1" title="RELAT_1:func.1">field</a> <font color="Maroon" title="c1">R</font> &amp; <font color="Maroon" title="c1">R</font> <a href="relat_2.html#R1" title="RELAT_2:pred.1">is_reflexive_in</a>  <a href="relat_1.html#K1" title="RELAT_1:func.1">field</a> <font color="Maroon" title="c1">R</font> )
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="relat_2.html#D9" onmouseover="rs('relat_2/D9')" onmouseout="rh()">RELAT_2:def 9</a>, <a class="ref" href="relat_2.html#D14" onmouseover="rs('relat_2/D14')" onmouseout="rh()">RELAT_2:def 14</a></span>;<br/>
<span class="kw">hence </span><a NAME="E3:18_1_1"/>
<font color="Maroon" title="c1">R</font> is  <a href="relat_2.html#V7" title="RELAT_2:attr.7">strongly_connected</a> 
 <span class="kw">by</span> <span class="lab"><a class="ref" href="orders_1.html#T7" onmouseover="rs('orders_1/T7')" onmouseout="rh()">ORDERS_1:7</a>, <a class="ref" href="relat_2.html#D15" onmouseover="rs('relat_2/D15')" onmouseout="rh()">RELAT_2:def 15</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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