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<b>let </b><font color="Maroon" title="c1">UA</font> be   <a href="unialg_1.html#NM2" title="UNIALG_1:NM.2">Universal_Algebra</a>;<br/><b>let </b><font color="Maroon" title="c2">f1</font>, <font color="Maroon" title="c3">f2</font> be    <a href="fraenkel.html#M2" title="FRAENKEL:mode.2">Element</a> of  <a href="endalg.html#K1" title="ENDALG:func.1">UAEnd</a> <font color="Maroon" title="c1">UA</font>;<br/>



<a NAME="E1:4"/>
( <font color="Maroon" title="c2">f1</font> <a href="alg_1.html#R1" title="ALG_1:pred.1">is_homomorphism</a> <font color="Maroon" title="c1">UA</font>,<font color="Maroon" title="c1">UA</font> &amp; <font color="Maroon" title="c3">f2</font> <a href="alg_1.html#R1" title="ALG_1:pred.1">is_homomorphism</a> <font color="Maroon" title="c1">UA</font>,<font color="Maroon" title="c1">UA</font> )
 
<b>by </b><i><a class="ref" href="endalg.html#D1" target="_self" title="ENDALG:def.1">Def1</a></i>;<br/>
<a NAME="E2:4"/><b>then </b>
<font color="Maroon" title="c2">f1</font> <a href="partfun1.html#K1" title="PARTFUN1:func.1">*</a> <font color="Maroon" title="c3">f2</font> <a href="alg_1.html#R1" title="ALG_1:pred.1">is_homomorphism</a> <font color="Maroon" title="c1">UA</font>,<font color="Maroon" title="c1">UA</font>
 
<b>by </b><i><a class="ref" href="alg_1.html#T7" title="ALG_1:th.7">ALG_1:7</a></i>;<br/>
<b>hence </b><a NAME="E3:4"/>
<font color="Maroon" title="c2">f1</font> <a href="partfun1.html#K1" title="PARTFUN1:func.1">*</a> <font color="Maroon" title="c3">f2</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="endalg.html#K1" title="ENDALG:func.1">UAEnd</a> <font color="Maroon" title="c1">UA</font>
 <b>by </b><i><a class="ref" href="endalg.html#D1" target="_self" title="ENDALG:def.1">Def1</a></i>;<br/>


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