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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E54">Def16</font></span>   defines <a href="group_23.html#K16" title="GROUP_23:func.16">Ker</a> <a onclick="hs(this)" href="javascript:()">GROUP_23:def 17 : <br/></a><span> for <font color="Olive" title="b1">I</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b2">F1</font>, <font color="Olive" title="b3">F2</font> being   <a href="group_19.html#NM1" title="GROUP_19:NM.1">Group-Family</a> of <font color="Olive" title="b1">I</font><br/>  for <font color="Olive" title="b4">f</font> being    <a href="group_23.html#M2" title="GROUP_23:mode.2">Homomorphism-Family</a> of <font color="Olive" title="b2">F1</font>,<font color="Olive" title="b3">F2</font><br/>  for <font color="Olive">b<sub>5</sub></font> being   <a href="group_23.html#V3" title="GROUP_23:attr.3">componentwise_strict</a>   <a href="group_23.html#V4" title="GROUP_23:attr.4">normal</a>  <a href="group_23.html#NM2" title="GROUP_23:NM.2">Subgroup-Family</a> of <font color="Olive" title="b2">F1</font> holds <br/> ( <font color="Olive">b<sub>5</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="group_23.html#K16" title="GROUP_23:func.16">Ker</a> <font color="Olive" title="b4">f</font> iff  for <font color="Olive" title="b6">i</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Olive" title="b1">I</font> holds  <font color="Olive">b<sub>5</sub></font> <a href="group_23.html#K4" title="GROUP_23:func.4">.</a> <font color="Olive" title="b6">i</font> <a href="group_2.html#R1" title="GROUP_2:pred.1">=</a>  <a href="group_6.html#K9" title="GROUP_6:func.9">Ker</a> <span class="p1">(<span class="default"><font color="Olive" title="b4">f</font> <a href="group_23.html#K2" title="GROUP_23:func.2">.</a> <font color="Olive" title="b6">i</font></span>)</span> );<br/></span></div>
