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<span class="kw">take </span>
 <a href="cat_1.html#K3" title="CAT_1:func.3">1Cat</a> (<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>,<a href="numbers.html#K5" title="NUMBERS:func.5">0</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="cat_1.html#K3" title="CAT_1:func.3">1Cat</a> (<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>,<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>) is  <a href="cat_1.html#V5" title="CAT_1:attr.5">reflexive</a>  &amp;  <a href="cat_1.html#K3" title="CAT_1:func.3">1Cat</a> (<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>,<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>) is  <a href="cat_1.html#V3" title="CAT_1:attr.3">transitive</a>  &amp;  <a href="cat_1.html#K3" title="CAT_1:func.3">1Cat</a> (<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>,<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>) is  <a href="cat_1.html#V4" title="CAT_1:attr.4">associative</a>  &amp;  <a href="cat_1.html#K3" title="CAT_1:func.3">1Cat</a> (<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>,<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>) is  <a href="cat_1.html#V6" title="CAT_1:attr.6">with_identities</a>  &amp;  <a href="cat_1.html#K3" title="CAT_1:func.3">1Cat</a> (<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>,<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>) is  <a href="cat_1.html#V2" title="CAT_1:attr.2">Category-like</a>  &amp;  not  <a href="cat_1.html#K3" title="CAT_1:func.3">1Cat</a> (<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>,<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>) is  <a href="struct_0.html#V11" title="STRUCT_0:attr.11">void</a>  &amp;  not  <a href="cat_1.html#K3" title="CAT_1:func.3">1Cat</a> (<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>,<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>) is  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>  &amp;  <a href="cat_1.html#K3" title="CAT_1:func.3">1Cat</a> (<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>,<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>) is  <a href="cat_1.html#V1" title="CAT_1:attr.1">strict</a>  )</span><br/>

<span class="kw">thus </span><a NAME="E1:21_1_1"/>
(  <a href="cat_1.html#K3" title="CAT_1:func.3">1Cat</a> (<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>,<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>) is  <a href="cat_1.html#V5" title="CAT_1:attr.5">reflexive</a>  &amp;  <a href="cat_1.html#K3" title="CAT_1:func.3">1Cat</a> (<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>,<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>) is  <a href="cat_1.html#V3" title="CAT_1:attr.3">transitive</a>  &amp;  <a href="cat_1.html#K3" title="CAT_1:func.3">1Cat</a> (<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>,<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>) is  <a href="cat_1.html#V4" title="CAT_1:attr.4">associative</a>  &amp;  <a href="cat_1.html#K3" title="CAT_1:func.3">1Cat</a> (<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>,<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>) is  <a href="cat_1.html#V6" title="CAT_1:attr.6">with_identities</a>  &amp;  <a href="cat_1.html#K3" title="CAT_1:func.3">1Cat</a> (<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>,<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>) is  <a href="cat_1.html#V2" title="CAT_1:attr.2">Category-like</a>  &amp;  not  <a href="cat_1.html#K3" title="CAT_1:func.3">1Cat</a> (<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>,<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>) is  <a href="struct_0.html#V11" title="STRUCT_0:attr.11">void</a>  &amp;  not  <a href="cat_1.html#K3" title="CAT_1:func.3">1Cat</a> (<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>,<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>) is  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>  &amp;  <a href="cat_1.html#K3" title="CAT_1:func.3">1Cat</a> (<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>,<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>) is  <a href="cat_1.html#V1" title="CAT_1: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"> verum</span><br/>


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