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<div><span class="kw">theorem </span><a NAME="T15"><span class="comment"><font color="firebrick">:: ALG_1:15</font></span><br/></a><div class="add"> 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">h</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">h</font> <a href="alg_1.html#R1" title="ALG_1:pred.1">is_homomorphism</a>  holds <br/> <a href="relset_1.html#K2" title="RELSET_1:func.2">rng</a> <font color="Olive" title="b3">h</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <span class="p1">(<span class="default"><a href="alg_1.html#K1" title="ALG_1:func.1">Image</a> <font color="Olive" title="b3">h</font></span>)</span></div></div>
