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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E8">DefIncr</font></span>   defines <a href="fuzimpl1.html#V2" title="FUZIMPL1:attr.2">increasing_on_2nd</a> <a onclick="hs(this)" href="javascript:()">FUZIMPL1:def 2 : <br/></a><span> for <font color="Olive" title="b1">f</font> being   <a href="binop_1.html#NM2" title="BINOP_1:NM.2">BinOp</a> of <span class="p1"><a href="rcomp_1.html#K1" title="RCOMP_1:func.1">[.</a><span class="default"><a href="ordinal1.html#K5" title="ORDINAL1:func.5">0</a>,1</span><a href="rcomp_1.html#K1" title="RCOMP_1:func.1">.]</a></span> holds <br/> ( <font color="Olive" title="b1">f</font> is  <a href="fuzimpl1.html#V2" title="FUZIMPL1:attr.2">increasing_on_2nd</a>  iff  for <font color="Olive" title="b2">x</font>, <font color="Olive" title="b3">y1</font>, <font color="Olive" title="b4">y2</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <span class="p1"><a href="rcomp_1.html#K1" title="RCOMP_1:func.1">[.</a><span class="default"><a href="ordinal1.html#K5" title="ORDINAL1:func.5">0</a>,1</span><a href="rcomp_1.html#K1" title="RCOMP_1:func.1">.]</a></span>  st <font color="Olive" title="b3">y1</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b4">y2</font> holds <br/><font color="Olive" title="b1">f</font> <a href="binop_1.html#K4" title="BINOP_1:func.4">.</a> (<font color="Olive" title="b2">x</font>,<font color="Olive" title="b3">y1</font>) <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b1">f</font> <a href="binop_1.html#K4" title="BINOP_1:func.4">.</a> (<font color="Olive" title="b2">x</font>,<font color="Olive" title="b4">y2</font>) );<br/></span></div>
