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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E9">Def8</font></span>   defines <a href="yellow21.html#V4" title="YELLOW21:attr.4">with_all_isomorphisms</a> <a onclick="hs(this)" href="javascript:()">YELLOW21:def 8 : <br/></a><span> for <font color="Olive" title="b1">C</font> being   <a href="yellow21.html#V2" title="YELLOW21:attr.2">lattice-wise</a>  <a href="altcat_1.html#NM4" title="ALTCAT_1:NM.4">category</a> holds <br/> ( <font color="Olive" title="b1">C</font> is  <a href="yellow21.html#V4" title="YELLOW21:attr.4">with_all_isomorphisms</a>  iff  for <font color="Olive" title="b2">a</font>, <font color="Olive" title="b3">b</font> being   <a href="altcat_1.html#NM1" title="ALTCAT_1:NM.1">Object</a> of <font color="Olive" title="b1">C</font><br/>  for <font color="Olive" title="b4">f</font> being   <a href="struct_0.html#NM6" title="STRUCT_0:NM.6">Function</a> of <span class="p1">(<span class="default"><a href="yellow21.html#K3" title="YELLOW21:func.3">latt</a> <font color="Olive" title="b2">a</font></span>)</span>,<span class="p1">(<span class="default"><a href="yellow21.html#K3" title="YELLOW21:func.3">latt</a> <font color="Olive" title="b3">b</font></span>)</span>  st <font color="Olive" title="b4">f</font> is  <a href="waybel_0.html#V23" title="WAYBEL_0:attr.23">isomorphic</a>  holds <br/><font color="Olive" title="b4">f</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <span class="p1"><a href="altcat_1.html#K1" title="ALTCAT_1:func.1">&lt;^</a><span class="default"><font color="Olive" title="b2">a</font>,<font color="Olive" title="b3">b</font></span><a href="altcat_1.html#K1" title="ALTCAT_1:func.1">^&gt;</a></span> );<br/></span></div>
