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<div><div><a NAME="S4"><span class="kw">scheme  </span><span class="comment"><font color="firebrick">:: GROUP_23:sch 4</font></span><br/></a><span class="lab"><font color="Green" title="E4">HomFamSch</font></span>{ <font color="Maroon">F<sub>1</sub></font>() <span class="kw">-&gt; </span>  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> , <font color="Maroon">F<sub>2</sub></font>() <span class="kw">-&gt; </span>  <a href="group_19.html#NM1" title="GROUP_19:NM.1">Group-Family</a> of <font color="Maroon">F<sub>1</sub></font>(), <font color="Maroon">F<sub>3</sub></font>() <span class="kw">-&gt; </span>  <a href="group_19.html#NM1" title="GROUP_19:NM.1">Group-Family</a> of <font color="Maroon">F<sub>1</sub></font>(), <font color="Maroon">F<sub>4</sub></font>(   <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon">F<sub>1</sub></font>()) <span class="kw">-&gt; </span>  <a href="funct_1.html#NM1" title="FUNCT_1:NM.1">Function</a> } :<br/><div class="add"><a NAME="E2:70"/>
 ex <font color="Olive" title="b1">H</font> being    <a href="group_23.html#M2" title="GROUP_23:mode.2">Homomorphism-Family</a> of <font color="Maroon">F<sub>2</sub></font>(),<font color="Maroon">F<sub>3</sub></font>() st <br/> for <font color="Olive" title="b2">i</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon">F<sub>1</sub></font>() holds  <font color="Olive" title="b1">H</font> <a href="group_23.html#K2" title="GROUP_23:func.2">.</a> <font color="Olive" title="b2">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon">F<sub>4</sub></font>(<font color="Olive" title="b2">i</font>)
 </div><span class="kw">provided</span><div class="add"><a NAME="E1:70"/><span class="lab"><font color="Green" title="E29">A1</font></span>: 
 for <font color="Olive" title="b1">i</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon">F<sub>1</sub></font>() holds  <font color="Maroon">F<sub>4</sub></font>(<font color="Olive" title="b1">i</font>) is   <a href="group_6.html#NM2" title="GROUP_6:NM.2">Homomorphism</a> of <span class="p1">(<span class="default"><font color="Maroon">F<sub>2</sub></font>() <a href="group_7.html#K1" title="GROUP_7:func.1">.</a> <font color="Olive" title="b1">i</font></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">F<sub>3</sub></font>() <a href="group_7.html#K1" title="GROUP_7:func.1">.</a> <font color="Olive" title="b1">i</font></span>)</span>
 </div></div></div>
