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<div class="titlepage"><div><div><h3 class="title">
<a name="boost_icl.semantics.quantifiers__maps_of_numbers"></a><a class="link" href="quantifiers__maps_of_numbers.html" title="Quantifiers: Maps of Numbers">Quantifiers:
Maps of Numbers</a>
</h3></div></div></div>
<a name="boost_icl.semantics.quantifiers__maps_of_numbers.subtraction_on_quantifiers"></a><h6>
-<a name="id1088708"></a>
+<a name="id1093602"></a>
<a class="link" href="quantifiers__maps_of_numbers.html#boost_icl.semantics.quantifiers__maps_of_numbers.subtraction_on_quantifiers">Subtraction
on Quantifiers</a>
</h6>
element</strong></span></em></span> for that key <code class="computeroutput"><span class="special">(</span><span class="identifier">k</span><span class="special">,-</span><span class="identifier">v</span><span class="special">)</span></code>, if the key is not yet stored in the map.
</p>
<a name="boost_icl.semantics.quantifiers__maps_of_numbers.partial_and_total_quantifiers_and_infinite_vectors"></a><h5>
-<a name="id1089246"></a>
+<a name="id1094139"></a>
<a class="link" href="quantifiers__maps_of_numbers.html#boost_icl.semantics.quantifiers__maps_of_numbers.partial_and_total_quantifiers_and_infinite_vectors">Partial
and Total Quantifiers and Infinite Vectors</a>
</h5>
space</a> do provide.
</p>
<a name="boost_icl.semantics.quantifiers__maps_of_numbers.intersection_on_quantifiers"></a><h6>
-<a name="id1089375"></a>
+<a name="id1094269"></a>
<a class="link" href="quantifiers__maps_of_numbers.html#boost_icl.semantics.quantifiers__maps_of_numbers.intersection_on_quantifiers">Intersection
on Quantifiers</a>
</h6>
<p>
</p>
<a name="boost_icl.semantics.quantifiers__maps_of_numbers.laws_for_quantifiers_of_unsigned_numbers"></a><h5>
-<a name="id1090039"></a>
+<a name="id1094932"></a>
<a class="link" href="quantifiers__maps_of_numbers.html#boost_icl.semantics.quantifiers__maps_of_numbers.laws_for_quantifiers_of_unsigned_numbers">Laws
for Quantifiers of unsigned Numbers</a>
</h5>
are not valid for an <code class="computeroutput"><span class="keyword">unsigned</span> <span class="identifier">Quantifier</span></code>.
</p>
<a name="boost_icl.semantics.quantifiers__maps_of_numbers.laws_for_quantifiers_of_signed_numbers"></a><h5>
-<a name="id1093163"></a>
+<a name="id1096964"></a>
<a class="link" href="quantifiers__maps_of_numbers.html#boost_icl.semantics.quantifiers__maps_of_numbers.laws_for_quantifiers_of_signed_numbers">Laws
for Quantifiers of signed Numbers</a>
</h5>
<p>
</p>
<a name="boost_icl.semantics.quantifiers__maps_of_numbers.existence_of_an_inverse"></a><h6>
-<a name="id1093984"></a>
+<a name="id1097785"></a>
<a class="link" href="quantifiers__maps_of_numbers.html#boost_icl.semantics.quantifiers__maps_of_numbers.existence_of_an_inverse">Existence
of an Inverse</a>
</h6>