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<span class="kw">consider </span><font color="Maroon" title="c1">A</font> being  non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="altcat_1.html#V2" title="ALTCAT_1:attr.2">transitive</a>   <a href="altcat_1.html#V6" title="ALTCAT_1:attr.6">strict</a>   <a href="altcat_1.html#V11" title="ALTCAT_1:attr.11">associative</a>   <a href="altcat_1.html#V12" title="ALTCAT_1:attr.12">with_units</a>   <a href="altcat_1.html#L2" title="ALTCAT_1:struct.2">AltCatStr</a> ;<br/>
<span class="kw">take </span>
<font color="Maroon" title="c1">A</font>
; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c1">A</font> is  <a href="altcat_1.html#V2" title="ALTCAT_1:attr.2">transitive</a>  &amp; <font color="Maroon" title="c1">A</font> is  <a href="altcat_1.html#V11" title="ALTCAT_1:attr.11">associative</a>  &amp; <font color="Maroon" title="c1">A</font> is  <a href="altcat_1.html#V12" title="ALTCAT_1:attr.12">with_units</a>  &amp; <font color="Maroon" title="c1">A</font> is  <a href="altcat_1.html#V6" title="ALTCAT_1:attr.6">strict</a>  )</span><br/>

<span class="kw">thus </span><a NAME="E2:1_1_1"/>
( <font color="Maroon" title="c1">A</font> is  <a href="altcat_1.html#V2" title="ALTCAT_1:attr.2">transitive</a>  &amp; <font color="Maroon" title="c1">A</font> is  <a href="altcat_1.html#V11" title="ALTCAT_1:attr.11">associative</a>  &amp; <font color="Maroon" title="c1">A</font> is  <a href="altcat_1.html#V12" title="ALTCAT_1:attr.12">with_units</a>  &amp; <font color="Maroon" title="c1">A</font> is  <a href="altcat_1.html#V6" title="ALTCAT_1:attr.6">strict</a>  )
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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