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<div><span class="kw">theorem </span><a NAME="T35"><span class="comment"><font color="firebrick">:: AOFA_000:35</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">G</font> being    <a href="freealg.html#M1" title="FREEALG:mode.1">GeneratorSet</a> of <font color="Olive" title="b1">A</font><br/>  for <font color="Olive" title="b3">B</font> being   <a href="unialg_1.html#NM1" title="UNIALG_1:NM.1">Universal_Algebra</a><br/>  for <font color="Olive" title="b4">h1</font>, <font color="Olive" title="b5">h2</font> being   <a href="struct_0.html#NM6" title="STRUCT_0:NM.6">Function</a> of <font color="Olive" title="b1">A</font>,<font color="Olive" title="b3">B</font>  st <font color="Olive" title="b4">h1</font> <a href="alg_1.html#R1" title="ALG_1:pred.1">is_homomorphism</a>  &amp; <font color="Olive" title="b5">h2</font> <a href="alg_1.html#R1" title="ALG_1:pred.1">is_homomorphism</a>  &amp; <font color="Olive" title="b4">h1</font> <a href="partfun1.html#K2" title="PARTFUN1:func.2">|</a> <font color="Olive" title="b2">G</font> <a href="relset_1.html#R2" title="RELSET_1:pred.2">=</a> <font color="Olive" title="b5">h2</font> <a href="partfun1.html#K2" title="PARTFUN1:func.2">|</a> <font color="Olive" title="b2">G</font> holds <br/><font color="Olive" title="b4">h1</font> <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a> <font color="Olive" title="b5">h2</font></div></div>
