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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E11">Th3</font></span>: <a NAME="T3"><span class="comment"><font color="firebrick">:: STACKS_1:3</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">X</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   non  <a href="struct_0.html#V11" title="STRUCT_0:attr.11">void</a>   <a href="stacks_1.html#L1" title="STACKS_1:struct.1">StackSystem</a> <br/>  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><br/>  for <font color="Olive" title="b4">e1</font>, <font color="Olive" title="b5">e2</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">X</font>  st <font color="Olive" title="b1">X</font> is  <a href="stacks_1.html#V4" title="STACKS_1:attr.4">top-push</a>  &amp; <font color="Olive" title="b1">X</font> is  <a href="stacks_1.html#V5" title="STACKS_1:attr.5">pop-push</a>  &amp;  <a href="stacks_1.html#K7" title="STACKS_1:func.7">push</a> (<font color="Olive" title="b4">e1</font>,<font color="Olive" title="b2">s1</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="stacks_1.html#K7" title="STACKS_1:func.7">push</a> (<font color="Olive" title="b5">e2</font>,<font color="Olive" title="b3">s2</font>) holds <br/>( <font color="Olive" title="b4">e1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b5">e2</font> &amp; <font color="Olive" title="b2">s1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b3">s2</font> )</div></div>
