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<a NAME="E1:60_1_1"/><span class="lab"><font color="Green" title="E38">A1</font></span>: 
 <a href="glenum00.html#K6" title="GLENUM00:func.6">SubgraphRel</a> <font color="Maroon" title="c1">G</font> <a href="orders_1.html#R2" title="ORDERS_1:pred.2">partially_orders</a> <font color="Maroon" title="c1">G</font> <a href="glenum00.html#K1" title="GLENUM00:func.1">.allSG()</a> 
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="glenum00.html#T41" target="_self" onmouseover="rs('glenum00/T41')" onmouseout="rh()">Th41</a></span>;<br/>
<a NAME="E2:60_1_1"/><span class="lab"><font color="Green" title="E39">A2</font></span>: 
<font color="Maroon" title="c1">G</font> <a href="glenum00.html#K1" title="GLENUM00:func.1">.allSG()</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="relat_1.html#K1" title="RELAT_1:func.1">field</a> <span class="p1">(<span class="default"><a href="glenum00.html#K6" title="GLENUM00:func.6">SubgraphRel</a> <font color="Maroon" title="c1">G</font></span>)</span>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="glenum00.html#T40" target="_self" onmouseover="rs('glenum00/T40')" onmouseout="rh()">Th40</a></span>;<br/>
<span class="kw">thus </span><a NAME="E3:60_1_1"/><span class="lab"><font color="Green" title="E40">A3</font></span>: 
 <a href="glenum00.html#K6" title="GLENUM00:func.6">SubgraphRel</a> <font color="Maroon" title="c1">G</font> is  <a href="relat_2.html#V1" title="RELAT_2:attr.1">reflexive</a> 
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:60_1_1"><span class="lab"><font color="Green" title="E38">A1</font></span></a>, <a class="txt" href="#E2:60_1_1"><span class="lab"><font color="Green" title="E39">A2</font></span></a>, <a class="ref" href="orders_1.html#D8" onmouseover="rs('orders_1/D8')" onmouseout="rh()">ORDERS_1:def 8</a>, <a class="ref" href="relat_2.html#D9" onmouseover="rs('relat_2/D9')" onmouseout="rh()">RELAT_2:def 9</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"> (  <a href="glenum00.html#K6" title="GLENUM00:func.6">SubgraphRel</a> <font color="Maroon" title="c1">G</font> is  <a href="relat_2.html#V4" title="RELAT_2:attr.4">antisymmetric</a>  &amp;  <a href="glenum00.html#K6" title="GLENUM00:func.6">SubgraphRel</a> <font color="Maroon" title="c1">G</font> is  <a href="relat_2.html#V8" title="RELAT_2:attr.8">transitive</a>  &amp;  <a href="glenum00.html#K6" title="GLENUM00:func.6">SubgraphRel</a> <font color="Maroon" title="c1">G</font> is  <a href="orders_1.html#V2" title="ORDERS_1:attr.2">being_partial-order</a>  )</span><br/>

<span class="kw">thus </span><a NAME="E4:60_1_1"/><span class="lab"><font color="Green" title="E41">A4</font></span>: 
 <a href="glenum00.html#K6" title="GLENUM00:func.6">SubgraphRel</a> <font color="Maroon" title="c1">G</font> is  <a href="relat_2.html#V4" title="RELAT_2:attr.4">antisymmetric</a> 
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:60_1_1"><span class="lab"><font color="Green" title="E38">A1</font></span></a>, <a class="txt" href="#E2:60_1_1"><span class="lab"><font color="Green" title="E39">A2</font></span></a>, <a class="ref" href="orders_1.html#D8" onmouseover="rs('orders_1/D8')" onmouseout="rh()">ORDERS_1:def 8</a>, <a class="ref" href="relat_2.html#D12" onmouseover="rs('relat_2/D12')" onmouseout="rh()">RELAT_2:def 12</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"> (  <a href="glenum00.html#K6" title="GLENUM00:func.6">SubgraphRel</a> <font color="Maroon" title="c1">G</font> is  <a href="relat_2.html#V8" title="RELAT_2:attr.8">transitive</a>  &amp;  <a href="glenum00.html#K6" title="GLENUM00:func.6">SubgraphRel</a> <font color="Maroon" title="c1">G</font> is  <a href="orders_1.html#V2" title="ORDERS_1:attr.2">being_partial-order</a>  )</span><br/>

<span class="kw">thus </span><a NAME="E5:60_1_1"/>
 <a href="glenum00.html#K6" title="GLENUM00:func.6">SubgraphRel</a> <font color="Maroon" title="c1">G</font> is  <a href="relat_2.html#V8" title="RELAT_2:attr.8">transitive</a> 
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:60_1_1"><span class="lab"><font color="Green" title="E38">A1</font></span></a>, <a class="txt" href="#E2:60_1_1"><span class="lab"><font color="Green" title="E39">A2</font></span></a>, <a class="ref" href="orders_1.html#D8" onmouseover="rs('orders_1/D8')" onmouseout="rh()">ORDERS_1:def 8</a>, <a class="ref" href="relat_2.html#D16" onmouseover="rs('relat_2/D16')" onmouseout="rh()">RELAT_2:def 16</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">  <a href="glenum00.html#K6" title="GLENUM00:func.6">SubgraphRel</a> <font color="Maroon" title="c1">G</font> is  <a href="orders_1.html#V2" title="ORDERS_1:attr.2">being_partial-order</a> </span><br/>

<span class="kw">hence </span><a NAME="E6:60_1_1"/>
 <a href="glenum00.html#K6" title="GLENUM00:func.6">SubgraphRel</a> <font color="Maroon" title="c1">G</font> is  <a href="orders_1.html#V2" title="ORDERS_1:attr.2">being_partial-order</a> 
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:60_1_1"><span class="lab"><font color="Green" title="E40">A3</font></span></a>, <a class="txt" href="#E4:60_1_1"><span class="lab"><font color="Green" title="E41">A4</font></span></a>, <a class="ref" href="orders_1.html#D5" onmouseover="rs('orders_1/D5')" onmouseout="rh()">ORDERS_1:def 5</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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