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<span class="kw">let </span><font color="Maroon" title="c7">POS</font> be   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="analmetr.html#L2" title="ANALMETR:struct.2">ParOrtStr</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">a</font>, <font color="Olive" title="b2">b</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c7">POS</font><br/>  for <font color="Olive" title="b3">K</font>, <font color="Olive" title="b4">M</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Maroon" title="c7">POS</font> holds <br/> ( ( <font color="Olive" title="b1">a</font>,<font color="Olive" title="b2">b</font> <a href="analmetr.html#R6" title="ANALMETR:pred.6">_|_</a> <font color="Olive" title="b3">K</font> implies <font color="Olive" title="b3">K</font> is  <a href="analmetr.html#V5" title="ANALMETR:attr.5">being_line</a>  ) &amp; ( <font color="Olive" title="b3">K</font> <a href="analmetr.html#R7" title="ANALMETR:pred.7">_|_</a> <font color="Olive" title="b4">M</font> implies ( <font color="Olive" title="b3">K</font> is  <a href="analmetr.html#V5" title="ANALMETR:attr.5">being_line</a>  &amp; <font color="Olive" title="b4">M</font> is  <a href="analmetr.html#V5" title="ANALMETR:attr.5">being_line</a>  ) ) )</span><br/><span class="kw">let </span><font color="Maroon" title="c8">a</font>, <font color="Maroon" title="c9">b</font> be   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c7">POS</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">K</font>, <font color="Olive" title="b2">M</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Maroon" title="c7">POS</font> holds <br/> ( ( <font color="Maroon" title="c8">a</font>,<font color="Maroon" title="c9">b</font> <a href="analmetr.html#R6" title="ANALMETR:pred.6">_|_</a> <font color="Olive" title="b1">K</font> implies <font color="Olive" title="b1">K</font> is  <a href="analmetr.html#V5" title="ANALMETR:attr.5">being_line</a>  ) &amp; ( <font color="Olive" title="b1">K</font> <a href="analmetr.html#R7" title="ANALMETR:pred.7">_|_</a> <font color="Olive" title="b2">M</font> implies ( <font color="Olive" title="b1">K</font> is  <a href="analmetr.html#V5" title="ANALMETR:attr.5">being_line</a>  &amp; <font color="Olive" title="b2">M</font> is  <a href="analmetr.html#V5" title="ANALMETR:attr.5">being_line</a>  ) ) )</span><br/><span class="kw">let </span><font color="Maroon" title="c10">K</font>, <font color="Maroon" title="c11">M</font> be   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Maroon" title="c7">POS</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="c8">a</font>,<font color="Maroon" title="c9">b</font> <a href="analmetr.html#R6" title="ANALMETR:pred.6">_|_</a> <font color="Maroon" title="c10">K</font> implies <font color="Maroon" title="c10">K</font> is  <a href="analmetr.html#V5" title="ANALMETR:attr.5">being_line</a>  ) &amp; ( <font color="Maroon" title="c10">K</font> <a href="analmetr.html#R7" title="ANALMETR:pred.7">_|_</a> <font color="Maroon" title="c11">M</font> implies ( <font color="Maroon" title="c10">K</font> is  <a href="analmetr.html#V5" title="ANALMETR:attr.5">being_line</a>  &amp; <font color="Maroon" title="c11">M</font> is  <a href="analmetr.html#V5" title="ANALMETR:attr.5">being_line</a>  ) ) )</span><br/>









<a NAME="E1:74"/>
 for <font color="Olive" title="b1">a</font>, <font color="Olive" title="b2">b</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c7">POS</font><br/>  for <font color="Olive" title="b3">K</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Maroon" title="c7">POS</font>  st <font color="Olive" title="b1">a</font>,<font color="Olive" title="b2">b</font> <a href="analmetr.html#R6" title="ANALMETR:pred.6">_|_</a> <font color="Olive" title="b3">K</font> holds <br/><font color="Olive" title="b3">K</font> is  <a href="analmetr.html#V5" title="ANALMETR:attr.5">being_line</a> 
 
;<br/>
<a NAME="E2:74"/><span class="kw">then </span>
( <font color="Maroon" title="c10">K</font> <a href="analmetr.html#R7" title="ANALMETR:pred.7">_|_</a> <font color="Maroon" title="c11">M</font> implies ( <font color="Maroon" title="c10">K</font> is  <a href="analmetr.html#V5" title="ANALMETR:attr.5">being_line</a>  &amp; <font color="Maroon" title="c11">M</font> is  <a href="analmetr.html#V5" title="ANALMETR:attr.5">being_line</a>  ) )
 
;<br/>
<span class="kw">hence </span><a NAME="E3:74"/>
( ( <font color="Maroon" title="c8">a</font>,<font color="Maroon" title="c9">b</font> <a href="analmetr.html#R6" title="ANALMETR:pred.6">_|_</a> <font color="Maroon" title="c10">K</font> implies <font color="Maroon" title="c10">K</font> is  <a href="analmetr.html#V5" title="ANALMETR:attr.5">being_line</a>  ) &amp; ( <font color="Maroon" title="c10">K</font> <a href="analmetr.html#R7" title="ANALMETR:pred.7">_|_</a> <font color="Maroon" title="c11">M</font> implies ( <font color="Maroon" title="c10">K</font> is  <a href="analmetr.html#V5" title="ANALMETR:attr.5">being_line</a>  &amp; <font color="Maroon" title="c11">M</font> is  <a href="analmetr.html#V5" title="ANALMETR:attr.5">being_line</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"> verum</span><br/>


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