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<div>:: <span class="kw">deftheorem </span>   defines <a href="yellow_1.html#K6" title="YELLOW_1:func.6">MonMaps</a> <a onclick="hs(this)" href="javascript:()">YELLOW_1:def 6 : <br/></a><span> for <font color="Olive" title="b1">S</font>, <font color="Olive" title="b2">T</font> being    <a href="orders_2.html#L1" title="ORDERS_2:struct.1">RelStr</a> <br/>  for <font color="Olive">b<sub>3</sub></font> being   <a href="orders_2.html#V1" title="ORDERS_2:attr.1">strict</a>   <a href="yellow_0.html#V4" title="YELLOW_0:attr.4">full</a>   <a href="yellow_0.html#M1" title="YELLOW_0:mode.1">SubRelStr</a> of <font color="Olive" title="b2">T</font> <a href="yellow_1.html#K5" title="YELLOW_1:func.5">|^</a>  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b1">S</font> holds <br/> ( <font color="Olive">b<sub>3</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="yellow_1.html#K6" title="YELLOW_1:func.6">MonMaps</a> (<font color="Olive" title="b1">S</font>,<font color="Olive" title="b2">T</font>) iff  for <font color="Olive" title="b4">f</font> being   <a href="struct_0.html#NM6" title="STRUCT_0:NM.6">Function</a> of <font color="Olive" title="b1">S</font>,<font color="Olive" title="b2">T</font> holds <br/> ( <font color="Olive" title="b4">f</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive">b<sub>3</sub></font> iff ( <font color="Olive" title="b4">f</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="funct_2.html#K1" title="FUNCT_2:func.1">Funcs</a> ( the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b1">S</font>, the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b2">T</font>) &amp; <font color="Olive" title="b4">f</font> is  <a href="orders_3.html#V5" title="ORDERS_3:attr.5">monotone</a>  ) ) );<br/></span></div>
