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<div><span class="kw">theorem </span><a NAME="T22"><span class="comment"><font color="firebrick">:: STACKS_1:22</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">X</font> being   <a href="stacks_1.html#NM3" title="STACKS_1:NM.3">StackAlgebra</a><br/>  for <font color="Olive" title="b2">s</font> being   <a href="stacks_1.html#NM2" title="STACKS_1:NM.2">stack</a> of <font color="Olive" title="b1">X</font>  ex <font color="Olive" title="b3">s1</font> being   <a href="stacks_1.html#NM2" title="STACKS_1:NM.2">stack</a> of <font color="Olive" title="b1">X</font> st <br/>(  <a href="stacks_1.html#R1" title="STACKS_1:pred.1">emp</a> <font color="Olive" title="b3">s1</font> &amp; <font color="Olive" title="b3">s1</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="stacks_1.html#K11" title="STACKS_1:func.11">coset</a> <font color="Olive" title="b2">s</font> )</div></div>
