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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E26">Def15</font></span>   defines <a href="stacks_1.html#V7" title="STACKS_1:attr.7">proper-for-identity</a> <a onclick="hs(this)" href="javascript:()">STACKS_1:def 15 : <br/></a><span> for <font color="Olive" title="b1">X</font> being   <a href="stacks_1.html#NM3" title="STACKS_1:NM.3">StackAlgebra</a> holds <br/> ( <font color="Olive" title="b1">X</font> is  <a href="stacks_1.html#V7" title="STACKS_1:attr.7">proper-for-identity</a>  iff  for <font color="Olive" title="b2">s1</font>, <font color="Olive" title="b3">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="b2">s1</font> <a href="stacks_1.html#R2" title="STACKS_1:pred.2">==</a> <font color="Olive" title="b3">s2</font> holds <br/><font color="Olive" title="b2">s1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b3">s2</font> );<br/></span></div>
