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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E34">Th25</font></span>: <a NAME="T25"><span class="comment"><font color="firebrick">:: STACKS_1:25</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> holds   <a href="stacks_1.html#K11" title="STACKS_1:func.11">coset</a> <font color="Olive" title="b2">s</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"> { <span class="default"> <font color="Olive" title="b3">s1</font> where <font color="Olive" title="b3">s1</font> is   <a href="stacks_1.html#NM2" title="STACKS_1:NM.2">stack</a> of <font color="Olive" title="b1">X</font> :  <a href="stacks_1.html#K12" title="STACKS_1:func.12">ConstructionRed</a> <font color="Olive" title="b1">X</font> <a href="rewrite1.html#R1" title="REWRITE1:pred.1">reduces</a> <font color="Olive" title="b2">s</font>,<font color="Olive" title="b3">s1</font> </span> } </span> </div></div>
