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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E42">Th32</font></span>: <a NAME="T32"><span class="comment"><font color="firebrick">:: STACKS_1:32</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>, <font color="Olive" title="b3">s1</font>, <font color="Olive" title="b4">s2</font> being   <a href="stacks_1.html#NM2" title="STACKS_1:NM.2">stack</a> of <font color="Olive" title="b1">X</font>  st <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> &amp; <font color="Olive" title="b4">s2</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> &amp; <span class="p1"><a href="stacks_1.html#K9" title="STACKS_1:func.9">|.</a><span class="default"><font color="Olive" title="b3">s1</font></span><a href="stacks_1.html#K9" title="STACKS_1:func.9">.|</a></span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="stacks_1.html#K9" title="STACKS_1:func.9">|.</a><span class="default"><font color="Olive" title="b4">s2</font></span><a href="stacks_1.html#K9" title="STACKS_1:func.9">.|</a></span> holds <br/><font color="Olive" title="b3">s1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b4">s2</font></div></div>
