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<div>:: <span class="kw">deftheorem </span>   defines <a href="ring_emb.html#K6" title="RING_EMB:func.6">Image</a> <a onclick="hs(this)" href="javascript:()">RING_EMB:def 7 : <br/></a><span> for <font color="Olive" title="b1">G</font>, <font color="Olive" title="b2">H</font> being   <a href="vectsp_1.html#NM2" title="VECTSP_1:NM.2">AbGroup</a><br/>  for <font color="Olive" title="b3">f</font> being   <a href="mod_4.html#NM1" title="MOD_4:NM.1">Homomorphism</a> of <font color="Olive" title="b1">G</font>,<font color="Olive" title="b2">H</font><br/>  for <font color="Olive">b<sub>4</sub></font> being   <a href="algstr_0.html#V8" title="ALGSTR_0:attr.8">strict</a>   <a href="algstr_0.html#L2" title="ALGSTR_0:struct.2">addLoopStr</a>  holds <br/> ( <font color="Olive">b<sub>4</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ring_emb.html#K6" title="RING_EMB:func.6">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>  <a href="relset_1.html#K2" title="RELSET_1:func.2">rng</a> <font color="Olive" title="b3">f</font> &amp;  the <a href="algstr_0.html#U1" title="ALGSTR_0:sel.1">addF</a> of <font color="Olive">b<sub>4</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  the <a href="algstr_0.html#U1" title="ALGSTR_0:sel.1">addF</a> of <font color="Olive" title="b2">H</font> <a href="realset1.html#K1" title="REALSET1:func.1">||</a> <span class="p1">(<span class="default"><a href="relset_1.html#K2" title="RELSET_1:func.2">rng</a> <font color="Olive" title="b3">f</font></span>)</span> &amp;  the <a href="struct_0.html#U2" title="STRUCT_0:sel.2">ZeroF</a> of <font color="Olive">b<sub>4</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Olive" title="b2">H</font> ) );<br/></span></div>
