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<span class="kw">take </span>
 <a href="altcat_1.html#K7" title="ALTCAT_1:func.7">EnsCat</a> <span class="p1"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a></span><a href="tarski.html#K1" title="TARSKI:func.1">}</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="altcat_1.html#K7" title="ALTCAT_1:func.7">EnsCat</a> <span class="p1"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a></span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span> is  <a href="altcat_1.html#V2" title="ALTCAT_1:attr.2">transitive</a>  &amp;  <a href="altcat_1.html#K7" title="ALTCAT_1:func.7">EnsCat</a> <span class="p1"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a></span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span> is  <a href="altcat_1.html#V11" title="ALTCAT_1:attr.11">associative</a>  &amp;  <a href="altcat_1.html#K7" title="ALTCAT_1:func.7">EnsCat</a> <span class="p1"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a></span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span> is  <a href="altcat_1.html#V12" title="ALTCAT_1:attr.12">with_units</a>  &amp;  <a href="altcat_1.html#K7" title="ALTCAT_1:func.7">EnsCat</a> <span class="p1"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a></span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span> is  <a href="altcat_1.html#V6" title="ALTCAT_1:attr.6">strict</a>  )</span><br/>

<span class="kw">thus </span><a NAME="E1:40_1_1"/>
(  <a href="altcat_1.html#K7" title="ALTCAT_1:func.7">EnsCat</a> <span class="p1"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a></span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span> is  <a href="altcat_1.html#V2" title="ALTCAT_1:attr.2">transitive</a>  &amp;  <a href="altcat_1.html#K7" title="ALTCAT_1:func.7">EnsCat</a> <span class="p1"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a></span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span> is  <a href="altcat_1.html#V11" title="ALTCAT_1:attr.11">associative</a>  &amp;  <a href="altcat_1.html#K7" title="ALTCAT_1:func.7">EnsCat</a> <span class="p1"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a></span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span> is  <a href="altcat_1.html#V12" title="ALTCAT_1:attr.12">with_units</a>  &amp;  <a href="altcat_1.html#K7" title="ALTCAT_1:func.7">EnsCat</a> <span class="p1"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a></span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span> is  <a href="altcat_1.html#V6" title="ALTCAT_1:attr.6">strict</a>  )
 <span class="kw">by</span> <span class="lab"><a class="txt" href="altcat_1.html#E33"><span class="lab"><font color="Green" title="E19">Lm1</font></span></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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