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<div>:: <span class="kw">deftheorem </span>   defines <a href="pua2mss1.html#R4" title="PUA2MSS1:pred.4">is_rougher_than</a> <a onclick="hs(this)" href="javascript:()">PUA2MSS1:def 13 : <br/></a><span> for <font color="Olive" title="b1">S1</font>, <font color="Olive" title="b2">S2</font> being    <a href="msualg_1.html#L1" title="MSUALG_1:struct.1">ManySortedSign</a>  holds <br/> ( <font color="Olive" title="b1">S1</font> <a href="pua2mss1.html#R4" title="PUA2MSS1:pred.4">is_rougher_than</a> <font color="Olive" title="b2">S2</font> iff  ex <font color="Olive" title="b3">f</font>, <font color="Olive" title="b4">g</font> being   <a href="funct_1.html#NM1" title="FUNCT_1:NM.1">Function</a> st <br/>( <font color="Olive" title="b3">f</font>,<font color="Olive" title="b4">g</font> <a href="pua2mss1.html#R3" title="PUA2MSS1:pred.3">form_morphism_between</a> <font color="Olive" title="b2">S2</font>,<font color="Olive" title="b1">S1</font> &amp;  <a href="xtuple_0.html#K10" title="XTUPLE_0:func.10">rng</a> <font color="Olive" title="b3">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b1">S1</font> &amp;  <a href="xtuple_0.html#K10" title="XTUPLE_0:func.10">rng</a> <font color="Olive" title="b4">g</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  the <a href="struct_0.html#U4" title="STRUCT_0:sel.4">carrier'</a> of <font color="Olive" title="b1">S1</font> ) );<br/></span></div>
