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<div><span class="kw">theorem </span><a NAME="T37"><span class="comment"><font color="firebrick">:: AOFA_000:37</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">A</font> being   <a href="freealg.html#V3" title="FREEALG:attr.3">free</a>  <a href="unialg_1.html#NM1" title="UNIALG_1:NM.1">Universal_Algebra</a><br/>  for <font color="Olive" title="b2">o1</font>, <font color="Olive" title="b3">o2</font> being    <a href="margrel1.html#M5" title="MARGREL1:mode.5">Element</a> of  <a href="unialg_2.html#K1" title="UNIALG_2:func.1">Operations</a> <font color="Olive" title="b1">A</font><br/>  for <font color="Olive" title="b4">p1</font>, <font color="Olive" title="b5">p2</font> being   <a href="finseq_1.html#NM1" title="FINSEQ_1:NM.1">FinSequence</a>  st <font color="Olive" title="b4">p1</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="relset_1.html#K1" title="RELSET_1:func.1">dom</a> <font color="Olive" title="b2">o1</font> &amp; <font color="Olive" title="b5">p2</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="relset_1.html#K1" title="RELSET_1:func.1">dom</a> <font color="Olive" title="b3">o2</font> &amp; <font color="Olive" title="b2">o1</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b4">p1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b3">o2</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b5">p2</font> holds <br/>( <font color="Olive" title="b2">o1</font> <a href="relset_1.html#R2" title="RELSET_1:pred.2">=</a> <font color="Olive" title="b3">o2</font> &amp; <font color="Olive" title="b4">p1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b5">p2</font> )</div></div>
