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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E12">Def9</font></span>   defines <a href="vectsp_8.html#M4" title="VECTSP_8:mode.4">sup-Semilattice-Homomorphism</a> <a onclick="hs(this)" href="javascript:()">VECTSP_8:def 9 : <br/></a><span> for <font color="Olive" title="b1">L1</font>, <font color="Olive" title="b2">L2</font> being   <a href="lattices.html#NM1" title="LATTICES:NM.1">Lattice</a><br/>  for <font color="Olive">b<sub>3</sub></font> being   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b1">L1</font>, the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b2">L2</font> holds <br/> ( <font color="Olive">b<sub>3</sub></font> is    <a href="vectsp_8.html#M4" title="VECTSP_8:mode.4">sup-Semilattice-Homomorphism</a> of <font color="Olive" title="b1">L1</font>,<font color="Olive" title="b2">L2</font> iff  for <font color="Olive" title="b4">a</font>, <font color="Olive" title="b5">b</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">L1</font> holds  <font color="Olive">b<sub>3</sub></font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <span class="p1">(<span class="default"><font color="Olive" title="b4">a</font> <a href="lattices.html#K3" title="LATTICES:func.3">"\/"</a> <font color="Olive" title="b5">b</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Olive">b<sub>3</sub></font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Olive" title="b4">a</font></span>)</span> <a href="lattices.html#K3" title="LATTICES:func.3">"\/"</a> <span class="p1">(<span class="default"><font color="Olive">b<sub>3</sub></font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Olive" title="b5">b</font></span>)</span> );<br/></span></div>
