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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E55">Th45</font></span>: <a NAME="T45"><span class="comment"><font color="firebrick">:: STACKS_1:45</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">X1</font>, <font color="Olive" title="b2">X2</font> being   <a href="stacks_1.html#NM3" title="STACKS_1:NM.3">StackAlgebra</a><br/>  for <font color="Olive" title="b3">F</font>, <font color="Olive" title="b4">G</font> being   <a href="funct_1.html#NM1" title="FUNCT_1:NM.1">Function</a>  st <font color="Olive" title="b3">F</font>,<font color="Olive" title="b4">G</font> <a href="stacks_1.html#R3" title="STACKS_1:pred.3">form_isomorphism_between</a> <font color="Olive" title="b1">X1</font>,<font color="Olive" title="b2">X2</font> holds <br/> for <font color="Olive" title="b5">s1</font> being   <a href="stacks_1.html#NM2" title="STACKS_1:NM.2">stack</a> of <font color="Olive" title="b1">X1</font><br/>  for <font color="Olive" title="b6">s2</font> being   <a href="stacks_1.html#NM2" title="STACKS_1:NM.2">stack</a> of <font color="Olive" title="b2">X2</font>  st <font color="Olive" title="b6">s2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b4">G</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b5">s1</font> holds <br/><span class="p1"><a href="stacks_1.html#K9" title="STACKS_1:func.9">|.</a><span class="default"><font color="Olive" title="b6">s2</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> <font color="Olive" title="b3">F</font> <a href="funct_1.html#NK3" title="FUNCT_1:NK.3">*</a> <span class="p1"><a href="stacks_1.html#K9" title="STACKS_1:func.9">|.</a><span class="default"><font color="Olive" title="b5">s1</font></span><a href="stacks_1.html#K9" title="STACKS_1:func.9">.|</a></span></div></div>
