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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E11">Def6</font></span>   defines <a href="alg_1.html#K1" title="ALG_1:func.1">Image</a> <a onclick="hs(this)" href="javascript:()">ALG_1:def 6 : <br/></a><span> for <font color="Olive" title="b1">U1</font>, <font color="Olive" title="b2">U2</font> being   <a href="unialg_1.html#NM1" title="UNIALG_1:NM.1">Universal_Algebra</a><br/>  for <font color="Olive" title="b3">f</font> being   <a href="struct_0.html#NM6" title="STRUCT_0:NM.6">Function</a> of <font color="Olive" title="b1">U1</font>,<font color="Olive" title="b2">U2</font>  st <font color="Olive" title="b3">f</font> <a href="alg_1.html#R1" title="ALG_1:pred.1">is_homomorphism</a>  holds <br/> for <font color="Olive">b<sub>4</sub></font> being   <a href="unialg_1.html#V1" title="UNIALG_1:attr.1">strict</a>   <a href="unialg_2.html#M1" title="UNIALG_2:mode.1">SubAlgebra</a> of <font color="Olive" title="b2">U2</font> holds <br/> ( <font color="Olive">b<sub>4</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="alg_1.html#K1" title="ALG_1:func.1">Image</a> <font color="Olive" title="b3">f</font> iff  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive">b<sub>4</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b3">f</font> <a href="relset_1.html#K7" title="RELSET_1:func.7">.:</a>  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b1">U1</font> );<br/></span></div>
