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<b>take </b>
 <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" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></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/>

<b>thus </b><a NAME="E1:43_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> )
 <b>by </b><i><a class="txt" href="altcat_1.html#E37"><i><font color="Green" title="E29">Lm1</font></i></a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


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