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Data Types</a> &#187;</li> <li class="right"> <div class="inline-search" style="display: none" role="search"> <form class="inline-search" action="../search.html" method="get"> <input placeholder="Quick search" type="text" name="q" /> <input type="submit" value="Go" /> <input type="hidden" name="check_keywords" value="yes" /> <input type="hidden" name="area" value="default" /> </form> </div> <script type="text/javascript">$('.inline-search').show(0);</script> | </li> </ul> </div> <div class="document"> <div class="documentwrapper"> <div class="bodywrapper"> <div class="body" role="main"> <div class="section" id="module-collections.abc"> <span id="collections-abc-abstract-base-classes-for-containers"></span><h1>8.4. <a class="reference internal" href="#module-collections.abc" title="collections.abc: Abstract base classes for containers"><code class="xref py py-mod docutils literal notranslate"><span class="pre">collections.abc</span></code></a> — Abstract Base Classes for Containers<a class="headerlink" href="#module-collections.abc" title="Permalink to this headline">¶</a></h1> <div class="versionadded"> <p><span class="versionmodified">New in version 3.3: </span>Formerly, this module was part of the <a class="reference internal" href="collections.html#module-collections" title="collections: Container datatypes"><code class="xref py py-mod docutils literal notranslate"><span class="pre">collections</span></code></a> module.</p> </div> <p><strong>Source code:</strong> <a class="reference external" href="https://github.com/python/cpython/tree/3.6/Lib/_collections_abc.py">Lib/_collections_abc.py</a></p> <hr class="docutils" /> <p>This module provides <a class="reference internal" href="../glossary.html#term-abstract-base-class"><span class="xref std std-term">abstract base classes</span></a> that can be used to test whether a class provides a particular interface; for example, whether it is hashable or whether it is a mapping.</p> <div class="section" id="collections-abstract-base-classes"> <span id="id1"></span><h2>8.4.1. Collections Abstract Base Classes<a class="headerlink" href="#collections-abstract-base-classes" title="Permalink to this headline">¶</a></h2> <p>The collections module offers the following <a class="reference internal" href="../glossary.html#term-abstract-base-class"><span class="xref std std-term">ABCs</span></a>:</p> <table border="1" class="docutils"> <colgroup> <col width="21%" /> <col width="18%" /> <col width="19%" /> <col width="42%" /> </colgroup> <thead valign="bottom"> <tr class="row-odd"><th class="head">ABC</th> <th class="head">Inherits from</th> <th class="head">Abstract Methods</th> <th class="head">Mixin Methods</th> </tr> </thead> <tbody valign="top"> <tr class="row-even"><td><a class="reference internal" href="#collections.abc.Container" title="collections.abc.Container"><code class="xref py py-class docutils literal notranslate"><span class="pre">Container</span></code></a></td> <td>&#160;</td> <td><code class="docutils literal notranslate"><span class="pre">__contains__</span></code></td> <td>&#160;</td> </tr> <tr class="row-odd"><td><a class="reference internal" href="#collections.abc.Hashable" title="collections.abc.Hashable"><code class="xref py py-class docutils literal notranslate"><span class="pre">Hashable</span></code></a></td> <td>&#160;</td> <td><code class="docutils literal notranslate"><span class="pre">__hash__</span></code></td> <td>&#160;</td> </tr> <tr class="row-even"><td><a class="reference internal" href="#collections.abc.Iterable" title="collections.abc.Iterable"><code class="xref py py-class docutils literal notranslate"><span class="pre">Iterable</span></code></a></td> <td>&#160;</td> <td><code class="docutils literal notranslate"><span class="pre">__iter__</span></code></td> <td>&#160;</td> </tr> <tr class="row-odd"><td><a class="reference internal" href="#collections.abc.Iterator" title="collections.abc.Iterator"><code class="xref py py-class docutils literal notranslate"><span class="pre">Iterator</span></code></a></td> <td><a class="reference internal" href="#collections.abc.Iterable" title="collections.abc.Iterable"><code class="xref py py-class docutils literal notranslate"><span class="pre">Iterable</span></code></a></td> <td><code class="docutils literal notranslate"><span class="pre">__next__</span></code></td> <td><code class="docutils literal notranslate"><span class="pre">__iter__</span></code></td> </tr> <tr class="row-even"><td><a class="reference internal" href="#collections.abc.Reversible" title="collections.abc.Reversible"><code class="xref py py-class docutils literal notranslate"><span class="pre">Reversible</span></code></a></td> <td><a class="reference internal" href="#collections.abc.Iterable" title="collections.abc.Iterable"><code class="xref py py-class docutils literal notranslate"><span class="pre">Iterable</span></code></a></td> <td><code class="docutils literal notranslate"><span class="pre">__reversed__</span></code></td> <td>&#160;</td> </tr> <tr class="row-odd"><td><a class="reference internal" href="#collections.abc.Generator" title="collections.abc.Generator"><code class="xref py py-class docutils literal notranslate"><span class="pre">Generator</span></code></a></td> <td><a class="reference internal" href="#collections.abc.Iterator" title="collections.abc.Iterator"><code class="xref py py-class docutils literal notranslate"><span class="pre">Iterator</span></code></a></td> <td><code class="docutils literal notranslate"><span class="pre">send</span></code>, <code class="docutils literal notranslate"><span class="pre">throw</span></code></td> <td><code class="docutils literal notranslate"><span class="pre">close</span></code>, <code class="docutils literal notranslate"><span class="pre">__iter__</span></code>, <code class="docutils literal notranslate"><span class="pre">__next__</span></code></td> </tr> <tr class="row-even"><td><a class="reference internal" href="#collections.abc.Sized" title="collections.abc.Sized"><code class="xref py py-class docutils literal notranslate"><span class="pre">Sized</span></code></a></td> <td>&#160;</td> <td><code class="docutils literal notranslate"><span class="pre">__len__</span></code></td> <td>&#160;</td> </tr> <tr class="row-odd"><td><a class="reference internal" href="#collections.abc.Callable" title="collections.abc.Callable"><code class="xref py py-class docutils literal notranslate"><span class="pre">Callable</span></code></a></td> <td>&#160;</td> <td><code class="docutils literal notranslate"><span class="pre">__call__</span></code></td> <td>&#160;</td> </tr> <tr class="row-even"><td><a class="reference internal" href="#collections.abc.Collection" title="collections.abc.Collection"><code class="xref py py-class docutils literal notranslate"><span class="pre">Collection</span></code></a></td> <td><a class="reference internal" href="#collections.abc.Sized" title="collections.abc.Sized"><code class="xref py py-class docutils literal notranslate"><span class="pre">Sized</span></code></a>, <a class="reference internal" href="#collections.abc.Iterable" title="collections.abc.Iterable"><code class="xref py py-class docutils literal notranslate"><span class="pre">Iterable</span></code></a>, <a class="reference internal" href="#collections.abc.Container" title="collections.abc.Container"><code class="xref py py-class docutils literal notranslate"><span class="pre">Container</span></code></a></td> <td><code class="docutils literal notranslate"><span class="pre">__contains__</span></code>, <code class="docutils literal notranslate"><span class="pre">__iter__</span></code>, <code class="docutils literal notranslate"><span class="pre">__len__</span></code></td> <td>&#160;</td> </tr> <tr class="row-odd"><td><a class="reference internal" href="#collections.abc.Sequence" title="collections.abc.Sequence"><code class="xref py py-class docutils literal notranslate"><span class="pre">Sequence</span></code></a></td> <td><a class="reference internal" href="#collections.abc.Reversible" title="collections.abc.Reversible"><code class="xref py py-class docutils literal notranslate"><span class="pre">Reversible</span></code></a>, <a class="reference internal" href="#collections.abc.Collection" title="collections.abc.Collection"><code class="xref py py-class docutils literal notranslate"><span class="pre">Collection</span></code></a></td> <td><code class="docutils literal notranslate"><span class="pre">__getitem__</span></code>, <code class="docutils literal notranslate"><span class="pre">__len__</span></code></td> <td><code class="docutils literal notranslate"><span class="pre">__contains__</span></code>, <code class="docutils literal notranslate"><span class="pre">__iter__</span></code>, <code class="docutils literal notranslate"><span class="pre">__reversed__</span></code>, <code class="docutils literal notranslate"><span class="pre">index</span></code>, and <code class="docutils literal notranslate"><span class="pre">count</span></code></td> </tr> <tr class="row-even"><td><a class="reference internal" href="#collections.abc.MutableSequence" title="collections.abc.MutableSequence"><code class="xref py py-class docutils literal notranslate"><span class="pre">MutableSequence</span></code></a></td> <td><a class="reference internal" href="#collections.abc.Sequence" title="collections.abc.Sequence"><code class="xref py py-class docutils literal notranslate"><span class="pre">Sequence</span></code></a></td> <td><code class="docutils literal notranslate"><span class="pre">__getitem__</span></code>, <code class="docutils literal notranslate"><span class="pre">__setitem__</span></code>, <code class="docutils literal notranslate"><span class="pre">__delitem__</span></code>, <code class="docutils literal notranslate"><span class="pre">__len__</span></code>, <code class="docutils literal notranslate"><span class="pre">insert</span></code></td> <td>Inherited <a class="reference internal" href="#collections.abc.Sequence" title="collections.abc.Sequence"><code class="xref py py-class docutils literal notranslate"><span class="pre">Sequence</span></code></a> methods and <code class="docutils literal notranslate"><span class="pre">append</span></code>, <code class="docutils literal notranslate"><span class="pre">reverse</span></code>, <code class="docutils literal notranslate"><span class="pre">extend</span></code>, <code class="docutils literal notranslate"><span class="pre">pop</span></code>, <code class="docutils literal notranslate"><span class="pre">remove</span></code>, and <code class="docutils literal notranslate"><span class="pre">__iadd__</span></code></td> </tr> <tr class="row-odd"><td><a class="reference internal" href="#collections.abc.ByteString" title="collections.abc.ByteString"><code class="xref py py-class docutils literal notranslate"><span class="pre">ByteString</span></code></a></td> <td><a class="reference internal" href="#collections.abc.Sequence" title="collections.abc.Sequence"><code class="xref py py-class docutils literal notranslate"><span class="pre">Sequence</span></code></a></td> <td><code class="docutils literal notranslate"><span class="pre">__getitem__</span></code>, <code class="docutils literal notranslate"><span class="pre">__len__</span></code></td> <td>Inherited <a class="reference internal" href="#collections.abc.Sequence" title="collections.abc.Sequence"><code class="xref py py-class docutils literal notranslate"><span class="pre">Sequence</span></code></a> methods</td> </tr> <tr class="row-even"><td><a class="reference internal" href="#collections.abc.Set" title="collections.abc.Set"><code class="xref py py-class docutils literal notranslate"><span class="pre">Set</span></code></a></td> <td><a class="reference internal" href="#collections.abc.Collection" title="collections.abc.Collection"><code class="xref py py-class docutils literal notranslate"><span class="pre">Collection</span></code></a></td> <td><code class="docutils literal notranslate"><span class="pre">__contains__</span></code>, <code class="docutils literal notranslate"><span class="pre">__iter__</span></code>, <code class="docutils literal notranslate"><span class="pre">__len__</span></code></td> <td><code class="docutils literal notranslate"><span class="pre">__le__</span></code>, <code class="docutils literal notranslate"><span class="pre">__lt__</span></code>, <code class="docutils literal notranslate"><span class="pre">__eq__</span></code>, <code class="docutils literal notranslate"><span class="pre">__ne__</span></code>, <code class="docutils literal notranslate"><span class="pre">__gt__</span></code>, <code class="docutils literal notranslate"><span class="pre">__ge__</span></code>, <code class="docutils literal notranslate"><span class="pre">__and__</span></code>, <code class="docutils literal notranslate"><span class="pre">__or__</span></code>, <code class="docutils literal notranslate"><span class="pre">__sub__</span></code>, <code class="docutils literal notranslate"><span class="pre">__xor__</span></code>, and <code class="docutils literal notranslate"><span class="pre">isdisjoint</span></code></td> </tr> <tr class="row-odd"><td><a class="reference internal" href="#collections.abc.MutableSet" title="collections.abc.MutableSet"><code class="xref py py-class docutils literal notranslate"><span class="pre">MutableSet</span></code></a></td> <td><a class="reference internal" href="#collections.abc.Set" title="collections.abc.Set"><code class="xref py py-class docutils literal notranslate"><span class="pre">Set</span></code></a></td> <td><code class="docutils literal notranslate"><span class="pre">__contains__</span></code>, <code class="docutils literal notranslate"><span class="pre">__iter__</span></code>, <code class="docutils literal notranslate"><span class="pre">__len__</span></code>, <code class="docutils literal notranslate"><span class="pre">add</span></code>, <code class="docutils literal notranslate"><span class="pre">discard</span></code></td> <td>Inherited <a class="reference internal" href="#collections.abc.Set" title="collections.abc.Set"><code class="xref py py-class docutils literal notranslate"><span class="pre">Set</span></code></a> methods and <code class="docutils literal notranslate"><span class="pre">clear</span></code>, <code class="docutils literal notranslate"><span class="pre">pop</span></code>, <code class="docutils literal notranslate"><span class="pre">remove</span></code>, <code class="docutils literal notranslate"><span class="pre">__ior__</span></code>, <code class="docutils literal notranslate"><span class="pre">__iand__</span></code>, <code class="docutils literal notranslate"><span class="pre">__ixor__</span></code>, and <code class="docutils literal notranslate"><span class="pre">__isub__</span></code></td> </tr> <tr class="row-even"><td><a class="reference internal" href="#collections.abc.Mapping" title="collections.abc.Mapping"><code class="xref py py-class docutils literal notranslate"><span class="pre">Mapping</span></code></a></td> <td><a class="reference internal" href="#collections.abc.Collection" title="collections.abc.Collection"><code class="xref py py-class docutils literal notranslate"><span class="pre">Collection</span></code></a></td> <td><code class="docutils literal notranslate"><span class="pre">__getitem__</span></code>, <code class="docutils literal notranslate"><span class="pre">__iter__</span></code>, <code class="docutils literal notranslate"><span class="pre">__len__</span></code></td> <td><code class="docutils literal notranslate"><span class="pre">__contains__</span></code>, <code class="docutils literal notranslate"><span class="pre">keys</span></code>, <code class="docutils literal notranslate"><span class="pre">items</span></code>, <code class="docutils literal notranslate"><span class="pre">values</span></code>, <code class="docutils literal notranslate"><span class="pre">get</span></code>, <code class="docutils literal notranslate"><span class="pre">__eq__</span></code>, and <code class="docutils literal notranslate"><span class="pre">__ne__</span></code></td> </tr> <tr class="row-odd"><td><a class="reference internal" href="#collections.abc.MutableMapping" title="collections.abc.MutableMapping"><code class="xref py py-class docutils literal notranslate"><span class="pre">MutableMapping</span></code></a></td> <td><a class="reference internal" href="#collections.abc.Mapping" title="collections.abc.Mapping"><code class="xref py py-class docutils literal notranslate"><span class="pre">Mapping</span></code></a></td> <td><code class="docutils literal notranslate"><span class="pre">__getitem__</span></code>, <code class="docutils literal notranslate"><span class="pre">__setitem__</span></code>, <code class="docutils literal notranslate"><span class="pre">__delitem__</span></code>, <code class="docutils literal notranslate"><span class="pre">__iter__</span></code>, <code class="docutils literal notranslate"><span class="pre">__len__</span></code></td> <td>Inherited <a class="reference internal" href="#collections.abc.Mapping" title="collections.abc.Mapping"><code class="xref py py-class docutils literal notranslate"><span class="pre">Mapping</span></code></a> methods and <code class="docutils literal notranslate"><span class="pre">pop</span></code>, <code class="docutils literal notranslate"><span class="pre">popitem</span></code>, <code class="docutils literal notranslate"><span class="pre">clear</span></code>, <code class="docutils literal notranslate"><span class="pre">update</span></code>, and <code class="docutils literal notranslate"><span class="pre">setdefault</span></code></td> </tr> <tr class="row-even"><td><a class="reference internal" href="#collections.abc.MappingView" title="collections.abc.MappingView"><code class="xref py py-class docutils literal notranslate"><span class="pre">MappingView</span></code></a></td> <td><a class="reference internal" href="#collections.abc.Sized" title="collections.abc.Sized"><code class="xref py py-class docutils literal notranslate"><span class="pre">Sized</span></code></a></td> <td>&#160;</td> <td><code class="docutils literal notranslate"><span class="pre">__len__</span></code></td> </tr> <tr class="row-odd"><td><a class="reference internal" href="#collections.abc.ItemsView" title="collections.abc.ItemsView"><code class="xref py py-class docutils literal notranslate"><span class="pre">ItemsView</span></code></a></td> <td><a class="reference internal" href="#collections.abc.MappingView" title="collections.abc.MappingView"><code class="xref py py-class docutils literal notranslate"><span class="pre">MappingView</span></code></a>, <a class="reference internal" href="#collections.abc.Set" title="collections.abc.Set"><code class="xref py py-class docutils literal notranslate"><span class="pre">Set</span></code></a></td> <td>&#160;</td> <td><code class="docutils literal notranslate"><span class="pre">__contains__</span></code>, <code class="docutils literal notranslate"><span class="pre">__iter__</span></code></td> </tr> <tr class="row-even"><td><a class="reference internal" href="#collections.abc.KeysView" title="collections.abc.KeysView"><code class="xref py py-class docutils literal notranslate"><span class="pre">KeysView</span></code></a></td> <td><a class="reference internal" href="#collections.abc.MappingView" title="collections.abc.MappingView"><code class="xref py py-class docutils literal notranslate"><span class="pre">MappingView</span></code></a>, <a class="reference internal" href="#collections.abc.Set" title="collections.abc.Set"><code class="xref py py-class docutils literal notranslate"><span class="pre">Set</span></code></a></td> <td>&#160;</td> <td><code class="docutils literal notranslate"><span class="pre">__contains__</span></code>, <code class="docutils literal notranslate"><span class="pre">__iter__</span></code></td> </tr> <tr class="row-odd"><td><a class="reference internal" href="#collections.abc.ValuesView" title="collections.abc.ValuesView"><code class="xref py py-class docutils literal notranslate"><span class="pre">ValuesView</span></code></a></td> <td><a class="reference internal" href="#collections.abc.MappingView" title="collections.abc.MappingView"><code class="xref py py-class docutils literal notranslate"><span class="pre">MappingView</span></code></a></td> <td>&#160;</td> <td><code class="docutils literal notranslate"><span class="pre">__contains__</span></code>, <code class="docutils literal notranslate"><span class="pre">__iter__</span></code></td> </tr> <tr class="row-even"><td><a class="reference internal" href="#collections.abc.Awaitable" title="collections.abc.Awaitable"><code class="xref py py-class docutils literal notranslate"><span class="pre">Awaitable</span></code></a></td> <td>&#160;</td> <td><code class="docutils literal notranslate"><span class="pre">__await__</span></code></td> <td>&#160;</td> </tr> <tr class="row-odd"><td><a class="reference internal" href="#collections.abc.Coroutine" title="collections.abc.Coroutine"><code class="xref py py-class docutils literal notranslate"><span class="pre">Coroutine</span></code></a></td> <td><a class="reference internal" href="#collections.abc.Awaitable" title="collections.abc.Awaitable"><code class="xref py py-class docutils literal notranslate"><span class="pre">Awaitable</span></code></a></td> <td><code class="docutils literal notranslate"><span class="pre">send</span></code>, <code class="docutils literal notranslate"><span class="pre">throw</span></code></td> <td><code class="docutils literal notranslate"><span class="pre">close</span></code></td> </tr> <tr class="row-even"><td><a class="reference internal" href="#collections.abc.AsyncIterable" title="collections.abc.AsyncIterable"><code class="xref py py-class docutils literal notranslate"><span class="pre">AsyncIterable</span></code></a></td> <td>&#160;</td> <td><code class="docutils literal notranslate"><span class="pre">__aiter__</span></code></td> <td>&#160;</td> </tr> <tr class="row-odd"><td><a class="reference internal" href="#collections.abc.AsyncIterator" title="collections.abc.AsyncIterator"><code class="xref py py-class docutils literal notranslate"><span class="pre">AsyncIterator</span></code></a></td> <td><a class="reference internal" href="#collections.abc.AsyncIterable" title="collections.abc.AsyncIterable"><code class="xref py py-class docutils literal notranslate"><span class="pre">AsyncIterable</span></code></a></td> <td><code class="docutils literal notranslate"><span class="pre">__anext__</span></code></td> <td><code class="docutils literal notranslate"><span class="pre">__aiter__</span></code></td> </tr> <tr class="row-even"><td><a class="reference internal" href="#collections.abc.AsyncGenerator" title="collections.abc.AsyncGenerator"><code class="xref py py-class docutils literal notranslate"><span class="pre">AsyncGenerator</span></code></a></td> <td><a class="reference internal" href="#collections.abc.AsyncIterator" title="collections.abc.AsyncIterator"><code class="xref py py-class docutils literal notranslate"><span class="pre">AsyncIterator</span></code></a></td> <td><code class="docutils literal notranslate"><span class="pre">asend</span></code>, <code class="docutils literal notranslate"><span class="pre">athrow</span></code></td> <td><code class="docutils literal notranslate"><span class="pre">aclose</span></code>, <code class="docutils literal notranslate"><span class="pre">__aiter__</span></code>, <code class="docutils literal notranslate"><span class="pre">__anext__</span></code></td> </tr> </tbody> </table> <dl class="class"> <dt id="collections.abc.Container"> <em class="property">class </em><code class="descclassname">collections.abc.</code><code class="descname">Container</code><a class="headerlink" href="#collections.abc.Container" title="Permalink to this definition">¶</a></dt> <dt id="collections.abc.Hashable"> <em class="property">class </em><code class="descclassname">collections.abc.</code><code class="descname">Hashable</code><a class="headerlink" href="#collections.abc.Hashable" title="Permalink to this definition">¶</a></dt> <dt id="collections.abc.Sized"> <em class="property">class </em><code class="descclassname">collections.abc.</code><code class="descname">Sized</code><a class="headerlink" href="#collections.abc.Sized" title="Permalink to this definition">¶</a></dt> <dt id="collections.abc.Callable"> <em class="property">class </em><code class="descclassname">collections.abc.</code><code class="descname">Callable</code><a class="headerlink" href="#collections.abc.Callable" title="Permalink to this definition">¶</a></dt> <dd><p>ABCs for classes that provide respectively the methods <a class="reference internal" href="../reference/datamodel.html#object.__contains__" title="object.__contains__"><code class="xref py py-meth docutils literal notranslate"><span class="pre">__contains__()</span></code></a>, <a class="reference internal" href="../reference/datamodel.html#object.__hash__" title="object.__hash__"><code class="xref py py-meth docutils literal notranslate"><span class="pre">__hash__()</span></code></a>, <a class="reference internal" href="../reference/datamodel.html#object.__len__" title="object.__len__"><code class="xref py py-meth docutils literal notranslate"><span class="pre">__len__()</span></code></a>, and <a class="reference internal" href="../reference/datamodel.html#object.__call__" title="object.__call__"><code class="xref py py-meth docutils literal notranslate"><span class="pre">__call__()</span></code></a>.</p> </dd></dl> <dl class="class"> <dt id="collections.abc.Iterable"> <em class="property">class </em><code class="descclassname">collections.abc.</code><code class="descname">Iterable</code><a class="headerlink" href="#collections.abc.Iterable" title="Permalink to this definition">¶</a></dt> <dd><p>ABC for classes that provide the <a class="reference internal" href="../reference/datamodel.html#object.__iter__" title="object.__iter__"><code class="xref py py-meth docutils literal notranslate"><span class="pre">__iter__()</span></code></a> method.</p> <p>Checking <code class="docutils literal notranslate"><span class="pre">isinstance(obj,</span> <span class="pre">Iterable)</span></code> detects classes that are registered as <a class="reference internal" href="#collections.abc.Iterable" title="collections.abc.Iterable"><code class="xref py py-class docutils literal notranslate"><span class="pre">Iterable</span></code></a> or that have an <a class="reference internal" href="../reference/datamodel.html#object.__iter__" title="object.__iter__"><code class="xref py py-meth docutils literal notranslate"><span class="pre">__iter__()</span></code></a> method, but it does not detect classes that iterate with the <a class="reference internal" href="../reference/datamodel.html#object.__getitem__" title="object.__getitem__"><code class="xref py py-meth docutils literal notranslate"><span class="pre">__getitem__()</span></code></a> method. The only reliable way to determine whether an object is <a class="reference internal" href="../glossary.html#term-iterable"><span class="xref std std-term">iterable</span></a> is to call <code class="docutils literal notranslate"><span class="pre">iter(obj)</span></code>.</p> </dd></dl> <dl class="class"> <dt id="collections.abc.Collection"> <em class="property">class </em><code class="descclassname">collections.abc.</code><code class="descname">Collection</code><a class="headerlink" href="#collections.abc.Collection" title="Permalink to this definition">¶</a></dt> <dd><p>ABC for sized iterable container classes.</p> <div class="versionadded"> <p><span class="versionmodified">New in version 3.6.</span></p> </div> </dd></dl> <dl class="class"> <dt id="collections.abc.Iterator"> <em class="property">class </em><code class="descclassname">collections.abc.</code><code class="descname">Iterator</code><a class="headerlink" href="#collections.abc.Iterator" title="Permalink to this definition">¶</a></dt> <dd><p>ABC for classes that provide the <a class="reference internal" href="stdtypes.html#iterator.__iter__" title="iterator.__iter__"><code class="xref py py-meth docutils literal notranslate"><span class="pre">__iter__()</span></code></a> and <a class="reference internal" href="stdtypes.html#iterator.__next__" title="iterator.__next__"><code class="xref py py-meth docutils literal notranslate"><span class="pre">__next__()</span></code></a> methods. See also the definition of <a class="reference internal" href="../glossary.html#term-iterator"><span class="xref std std-term">iterator</span></a>.</p> </dd></dl> <dl class="class"> <dt id="collections.abc.Reversible"> <em class="property">class </em><code class="descclassname">collections.abc.</code><code class="descname">Reversible</code><a class="headerlink" href="#collections.abc.Reversible" title="Permalink to this definition">¶</a></dt> <dd><p>ABC for iterable classes that also provide the <a class="reference internal" href="../reference/datamodel.html#object.__reversed__" title="object.__reversed__"><code class="xref py py-meth docutils literal notranslate"><span class="pre">__reversed__()</span></code></a> method.</p> <div class="versionadded"> <p><span class="versionmodified">New in version 3.6.</span></p> </div> </dd></dl> <dl class="class"> <dt id="collections.abc.Generator"> <em class="property">class </em><code class="descclassname">collections.abc.</code><code class="descname">Generator</code><a class="headerlink" href="#collections.abc.Generator" title="Permalink to this definition">¶</a></dt> <dd><p>ABC for generator classes that implement the protocol defined in <span class="target" id="index-0"></span><a class="pep reference external" href="https://www.python.org/dev/peps/pep-0342"><strong>PEP 342</strong></a> that extends iterators with the <a class="reference internal" href="../reference/expressions.html#generator.send" title="generator.send"><code class="xref py py-meth docutils literal notranslate"><span class="pre">send()</span></code></a>, <a class="reference internal" href="../reference/expressions.html#generator.throw" title="generator.throw"><code class="xref py py-meth docutils literal notranslate"><span class="pre">throw()</span></code></a> and <a class="reference internal" href="../reference/expressions.html#generator.close" title="generator.close"><code class="xref py py-meth docutils literal notranslate"><span class="pre">close()</span></code></a> methods. See also the definition of <a class="reference internal" href="../glossary.html#term-generator"><span class="xref std std-term">generator</span></a>.</p> <div class="versionadded"> <p><span class="versionmodified">New in version 3.5.</span></p> </div> </dd></dl> <dl class="class"> <dt id="collections.abc.Sequence"> <em class="property">class </em><code class="descclassname">collections.abc.</code><code class="descname">Sequence</code><a class="headerlink" href="#collections.abc.Sequence" title="Permalink to this definition">¶</a></dt> <dt id="collections.abc.MutableSequence"> <em class="property">class </em><code class="descclassname">collections.abc.</code><code class="descname">MutableSequence</code><a class="headerlink" href="#collections.abc.MutableSequence" title="Permalink to this definition">¶</a></dt> <dt id="collections.abc.ByteString"> <em class="property">class </em><code class="descclassname">collections.abc.</code><code class="descname">ByteString</code><a class="headerlink" href="#collections.abc.ByteString" title="Permalink to this definition">¶</a></dt> <dd><p>ABCs for read-only and mutable <a class="reference internal" href="../glossary.html#term-sequence"><span class="xref std std-term">sequences</span></a>.</p> <p>Implementation note: Some of the mixin methods, such as <a class="reference internal" href="../reference/datamodel.html#object.__iter__" title="object.__iter__"><code class="xref py py-meth docutils literal notranslate"><span class="pre">__iter__()</span></code></a>, <a class="reference internal" href="../reference/datamodel.html#object.__reversed__" title="object.__reversed__"><code class="xref py py-meth docutils literal notranslate"><span class="pre">__reversed__()</span></code></a> and <code class="xref py py-meth docutils literal notranslate"><span class="pre">index()</span></code>, make repeated calls to the underlying <a class="reference internal" href="../reference/datamodel.html#object.__getitem__" title="object.__getitem__"><code class="xref py py-meth docutils literal notranslate"><span class="pre">__getitem__()</span></code></a> method. Consequently, if <a class="reference internal" href="../reference/datamodel.html#object.__getitem__" title="object.__getitem__"><code class="xref py py-meth docutils literal notranslate"><span class="pre">__getitem__()</span></code></a> is implemented with constant access speed, the mixin methods will have linear performance; however, if the underlying method is linear (as it would be with a linked list), the mixins will have quadratic performance and will likely need to be overridden.</p> <div class="versionchanged"> <p><span class="versionmodified">Changed in version 3.5: </span>The index() method added support for <em>stop</em> and <em>start</em> arguments.</p> </div> </dd></dl> <dl class="class"> <dt id="collections.abc.Set"> <em class="property">class </em><code class="descclassname">collections.abc.</code><code class="descname">Set</code><a class="headerlink" href="#collections.abc.Set" title="Permalink to this definition">¶</a></dt> <dt id="collections.abc.MutableSet"> <em class="property">class </em><code class="descclassname">collections.abc.</code><code class="descname">MutableSet</code><a class="headerlink" href="#collections.abc.MutableSet" title="Permalink to this definition">¶</a></dt> <dd><p>ABCs for read-only and mutable sets.</p> </dd></dl> <dl class="class"> <dt id="collections.abc.Mapping"> <em class="property">class </em><code class="descclassname">collections.abc.</code><code class="descname">Mapping</code><a class="headerlink" href="#collections.abc.Mapping" title="Permalink to this definition">¶</a></dt> <dt id="collections.abc.MutableMapping"> <em class="property">class </em><code class="descclassname">collections.abc.</code><code class="descname">MutableMapping</code><a class="headerlink" href="#collections.abc.MutableMapping" title="Permalink to this definition">¶</a></dt> <dd><p>ABCs for read-only and mutable <a class="reference internal" href="../glossary.html#term-mapping"><span class="xref std std-term">mappings</span></a>.</p> </dd></dl> <dl class="class"> <dt id="collections.abc.MappingView"> <em class="property">class </em><code class="descclassname">collections.abc.</code><code class="descname">MappingView</code><a class="headerlink" href="#collections.abc.MappingView" title="Permalink to this definition">¶</a></dt> <dt id="collections.abc.ItemsView"> <em class="property">class </em><code class="descclassname">collections.abc.</code><code class="descname">ItemsView</code><a class="headerlink" href="#collections.abc.ItemsView" title="Permalink to this definition">¶</a></dt> <dt id="collections.abc.KeysView"> <em class="property">class </em><code class="descclassname">collections.abc.</code><code class="descname">KeysView</code><a class="headerlink" href="#collections.abc.KeysView" title="Permalink to this definition">¶</a></dt> <dt id="collections.abc.ValuesView"> <em class="property">class </em><code class="descclassname">collections.abc.</code><code class="descname">ValuesView</code><a class="headerlink" href="#collections.abc.ValuesView" title="Permalink to this definition">¶</a></dt> <dd><p>ABCs for mapping, items, keys, and values <a class="reference internal" href="../glossary.html#term-dictionary-view"><span class="xref std std-term">views</span></a>.</p> </dd></dl> <dl class="class"> <dt id="collections.abc.Awaitable"> <em class="property">class </em><code class="descclassname">collections.abc.</code><code class="descname">Awaitable</code><a class="headerlink" href="#collections.abc.Awaitable" title="Permalink to this definition">¶</a></dt> <dd><p>ABC for <a class="reference internal" href="../glossary.html#term-awaitable"><span class="xref std std-term">awaitable</span></a> objects, which can be used in <a class="reference internal" href="../reference/expressions.html#await"><code class="xref std std-keyword docutils literal notranslate"><span class="pre">await</span></code></a> expressions. Custom implementations must provide the <a class="reference internal" href="../reference/datamodel.html#object.__await__" title="object.__await__"><code class="xref py py-meth docutils literal notranslate"><span class="pre">__await__()</span></code></a> method.</p> <p><a class="reference internal" href="../glossary.html#term-coroutine"><span class="xref std std-term">Coroutine</span></a> objects and instances of the <a class="reference internal" href="#collections.abc.Coroutine" title="collections.abc.Coroutine"><code class="xref py py-class docutils literal notranslate"><span class="pre">Coroutine</span></code></a> ABC are all instances of this ABC.</p> <div class="admonition note"> <p class="first admonition-title">Note</p> <p class="last">In CPython, generator-based coroutines (generators decorated with <a class="reference internal" href="types.html#types.coroutine" title="types.coroutine"><code class="xref py py-func docutils literal notranslate"><span class="pre">types.coroutine()</span></code></a> or <a class="reference internal" href="asyncio-task.html#asyncio.coroutine" title="asyncio.coroutine"><code class="xref py py-func docutils literal notranslate"><span class="pre">asyncio.coroutine()</span></code></a>) are <em>awaitables</em>, even though they do not have an <a class="reference internal" href="../reference/datamodel.html#object.__await__" title="object.__await__"><code class="xref py py-meth docutils literal notranslate"><span class="pre">__await__()</span></code></a> method. Using <code class="docutils literal notranslate"><span class="pre">isinstance(gencoro,</span> <span class="pre">Awaitable)</span></code> for them will return <code class="docutils literal notranslate"><span class="pre">False</span></code>. Use <a class="reference internal" href="inspect.html#inspect.isawaitable" title="inspect.isawaitable"><code class="xref py py-func docutils literal notranslate"><span class="pre">inspect.isawaitable()</span></code></a> to detect them.</p> </div> <div class="versionadded"> <p><span class="versionmodified">New in version 3.5.</span></p> </div> </dd></dl> <dl class="class"> <dt id="collections.abc.Coroutine"> <em class="property">class </em><code class="descclassname">collections.abc.</code><code class="descname">Coroutine</code><a class="headerlink" href="#collections.abc.Coroutine" title="Permalink to this definition">¶</a></dt> <dd><p>ABC for coroutine compatible classes. These implement the following methods, defined in <a class="reference internal" href="../reference/datamodel.html#coroutine-objects"><span class="std std-ref">Coroutine Objects</span></a>: <a class="reference internal" href="../reference/datamodel.html#coroutine.send" title="coroutine.send"><code class="xref py py-meth docutils literal notranslate"><span class="pre">send()</span></code></a>, <a class="reference internal" href="../reference/datamodel.html#coroutine.throw" title="coroutine.throw"><code class="xref py py-meth docutils literal notranslate"><span class="pre">throw()</span></code></a>, and <a class="reference internal" href="../reference/datamodel.html#coroutine.close" title="coroutine.close"><code class="xref py py-meth docutils literal notranslate"><span class="pre">close()</span></code></a>. Custom implementations must also implement <a class="reference internal" href="../reference/datamodel.html#object.__await__" title="object.__await__"><code class="xref py py-meth docutils literal notranslate"><span class="pre">__await__()</span></code></a>. All <a class="reference internal" href="#collections.abc.Coroutine" title="collections.abc.Coroutine"><code class="xref py py-class docutils literal notranslate"><span class="pre">Coroutine</span></code></a> instances are also instances of <a class="reference internal" href="#collections.abc.Awaitable" title="collections.abc.Awaitable"><code class="xref py py-class docutils literal notranslate"><span class="pre">Awaitable</span></code></a>. See also the definition of <a class="reference internal" href="../glossary.html#term-coroutine"><span class="xref std std-term">coroutine</span></a>.</p> <div class="admonition note"> <p class="first admonition-title">Note</p> <p class="last">In CPython, generator-based coroutines (generators decorated with <a class="reference internal" href="types.html#types.coroutine" title="types.coroutine"><code class="xref py py-func docutils literal notranslate"><span class="pre">types.coroutine()</span></code></a> or <a class="reference internal" href="asyncio-task.html#asyncio.coroutine" title="asyncio.coroutine"><code class="xref py py-func docutils literal notranslate"><span class="pre">asyncio.coroutine()</span></code></a>) are <em>awaitables</em>, even though they do not have an <a class="reference internal" href="../reference/datamodel.html#object.__await__" title="object.__await__"><code class="xref py py-meth docutils literal notranslate"><span class="pre">__await__()</span></code></a> method. Using <code class="docutils literal notranslate"><span class="pre">isinstance(gencoro,</span> <span class="pre">Coroutine)</span></code> for them will return <code class="docutils literal notranslate"><span class="pre">False</span></code>. Use <a class="reference internal" href="inspect.html#inspect.isawaitable" title="inspect.isawaitable"><code class="xref py py-func docutils literal notranslate"><span class="pre">inspect.isawaitable()</span></code></a> to detect them.</p> </div> <div class="versionadded"> <p><span class="versionmodified">New in version 3.5.</span></p> </div> </dd></dl> <dl class="class"> <dt id="collections.abc.AsyncIterable"> <em class="property">class </em><code class="descclassname">collections.abc.</code><code class="descname">AsyncIterable</code><a class="headerlink" href="#collections.abc.AsyncIterable" title="Permalink to this definition">¶</a></dt> <dd><p>ABC for classes that provide <code class="docutils literal notranslate"><span class="pre">__aiter__</span></code> method. See also the definition of <a class="reference internal" href="../glossary.html#term-asynchronous-iterable"><span class="xref std std-term">asynchronous iterable</span></a>.</p> <div class="versionadded"> <p><span class="versionmodified">New in version 3.5.</span></p> </div> </dd></dl> <dl class="class"> <dt id="collections.abc.AsyncIterator"> <em class="property">class </em><code class="descclassname">collections.abc.</code><code class="descname">AsyncIterator</code><a class="headerlink" href="#collections.abc.AsyncIterator" title="Permalink to this definition">¶</a></dt> <dd><p>ABC for classes that provide <code class="docutils literal notranslate"><span class="pre">__aiter__</span></code> and <code class="docutils literal notranslate"><span class="pre">__anext__</span></code> methods. See also the definition of <a class="reference internal" href="../glossary.html#term-asynchronous-iterator"><span class="xref std std-term">asynchronous iterator</span></a>.</p> <div class="versionadded"> <p><span class="versionmodified">New in version 3.5.</span></p> </div> </dd></dl> <dl class="class"> <dt id="collections.abc.AsyncGenerator"> <em class="property">class </em><code class="descclassname">collections.abc.</code><code class="descname">AsyncGenerator</code><a class="headerlink" href="#collections.abc.AsyncGenerator" title="Permalink to this definition">¶</a></dt> <dd><p>ABC for asynchronous generator classes that implement the protocol defined in <span class="target" id="index-1"></span><a class="pep reference external" href="https://www.python.org/dev/peps/pep-0525"><strong>PEP 525</strong></a> and <span class="target" id="index-2"></span><a class="pep reference external" href="https://www.python.org/dev/peps/pep-0492"><strong>PEP 492</strong></a>.</p> <div class="versionadded"> <p><span class="versionmodified">New in version 3.6.</span></p> </div> </dd></dl> <p>These ABCs allow us to ask classes or instances if they provide particular functionality, for example:</p> <div class="highlight-python3 notranslate"><div class="highlight"><pre><span></span><span class="n">size</span> <span class="o">=</span> <span class="kc">None</span> <span class="k">if</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">myvar</span><span class="p">,</span> <span class="n">collections</span><span class="o">.</span><span class="n">abc</span><span class="o">.</span><span class="n">Sized</span><span class="p">):</span> <span class="n">size</span> <span class="o">=</span> <span class="nb">len</span><span class="p">(</span><span class="n">myvar</span><span class="p">)</span> </pre></div> </div> <p>Several of the ABCs are also useful as mixins that make it easier to develop classes supporting container APIs. For example, to write a class supporting the full <a class="reference internal" href="#collections.abc.Set" title="collections.abc.Set"><code class="xref py py-class docutils literal notranslate"><span class="pre">Set</span></code></a> API, it is only necessary to supply the three underlying abstract methods: <a class="reference internal" href="../reference/datamodel.html#object.__contains__" title="object.__contains__"><code class="xref py py-meth docutils literal notranslate"><span class="pre">__contains__()</span></code></a>, <a class="reference internal" href="../reference/datamodel.html#object.__iter__" title="object.__iter__"><code class="xref py py-meth docutils literal notranslate"><span class="pre">__iter__()</span></code></a>, and <a class="reference internal" href="../reference/datamodel.html#object.__len__" title="object.__len__"><code class="xref py py-meth docutils literal notranslate"><span class="pre">__len__()</span></code></a>. The ABC supplies the remaining methods such as <a class="reference internal" href="../reference/datamodel.html#object.__and__" title="object.__and__"><code class="xref py py-meth docutils literal notranslate"><span class="pre">__and__()</span></code></a> and <code class="xref py py-meth docutils literal notranslate"><span class="pre">isdisjoint()</span></code>:</p> <div class="highlight-python3 notranslate"><div class="highlight"><pre><span></span><span class="k">class</span> <span class="nc">ListBasedSet</span><span class="p">(</span><span class="n">collections</span><span class="o">.</span><span class="n">abc</span><span class="o">.</span><span class="n">Set</span><span class="p">):</span> <span class="sd">&#39;&#39;&#39; Alternate set implementation favoring space over speed</span> <span class="sd"> and not requiring the set elements to be hashable. &#39;&#39;&#39;</span> <span class="k">def</span> <span class="nf">__init__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">iterable</span><span class="p">):</span> <span class="bp">self</span><span class="o">.</span><span class="n">elements</span> <span class="o">=</span> <span class="n">lst</span> <span class="o">=</span> <span class="p">[]</span> <span class="k">for</span> <span class="n">value</span> <span class="ow">in</span> <span class="n">iterable</span><span class="p">:</span> <span class="k">if</span> <span class="n">value</span> <span class="ow">not</span> <span class="ow">in</span> <span class="n">lst</span><span class="p">:</span> <span class="n">lst</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">value</span><span class="p">)</span> <span class="k">def</span> <span class="nf">__iter__</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span> <span class="k">return</span> <span class="nb">iter</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">elements</span><span class="p">)</span> <span class="k">def</span> <span class="nf">__contains__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">value</span><span class="p">):</span> <span class="k">return</span> <span class="n">value</span> <span class="ow">in</span> <span class="bp">self</span><span class="o">.</span><span class="n">elements</span> <span class="k">def</span> <span class="nf">__len__</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span> <span class="k">return</span> <span class="nb">len</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">elements</span><span class="p">)</span> <span class="n">s1</span> <span class="o">=</span> <span class="n">ListBasedSet</span><span class="p">(</span><span class="s1">&#39;abcdef&#39;</span><span class="p">)</span> <span class="n">s2</span> <span class="o">=</span> <span class="n">ListBasedSet</span><span class="p">(</span><span class="s1">&#39;defghi&#39;</span><span class="p">)</span> <span class="n">overlap</span> <span class="o">=</span> <span class="n">s1</span> <span class="o">&amp;</span> <span class="n">s2</span> <span class="c1"># The __and__() method is supported automatically</span> </pre></div> </div> <p>Notes on using <a class="reference internal" href="#collections.abc.Set" title="collections.abc.Set"><code class="xref py py-class docutils literal notranslate"><span class="pre">Set</span></code></a> and <a class="reference internal" href="#collections.abc.MutableSet" title="collections.abc.MutableSet"><code class="xref py py-class docutils literal notranslate"><span class="pre">MutableSet</span></code></a> as a mixin:</p> <ol class="arabic simple"> <li>Since some set operations create new sets, the default mixin methods need a way to create new instances from an iterable. The class constructor is assumed to have a signature in the form <code class="docutils literal notranslate"><span class="pre">ClassName(iterable)</span></code>. That assumption is factored-out to an internal classmethod called <code class="xref py py-meth docutils literal notranslate"><span class="pre">_from_iterable()</span></code> which calls <code class="docutils literal notranslate"><span class="pre">cls(iterable)</span></code> to produce a new set. If the <a class="reference internal" href="#collections.abc.Set" title="collections.abc.Set"><code class="xref py py-class docutils literal notranslate"><span class="pre">Set</span></code></a> mixin is being used in a class with a different constructor signature, you will need to override <code class="xref py py-meth docutils literal notranslate"><span class="pre">_from_iterable()</span></code> with a classmethod that can construct new instances from an iterable argument.</li> <li>To override the comparisons (presumably for speed, as the semantics are fixed), redefine <a class="reference internal" href="../reference/datamodel.html#object.__le__" title="object.__le__"><code class="xref py py-meth docutils literal notranslate"><span class="pre">__le__()</span></code></a> and <a class="reference internal" href="../reference/datamodel.html#object.__ge__" title="object.__ge__"><code class="xref py py-meth docutils literal notranslate"><span class="pre">__ge__()</span></code></a>, then the other operations will automatically follow suit.</li> <li>The <a class="reference internal" href="#collections.abc.Set" title="collections.abc.Set"><code class="xref py py-class docutils literal notranslate"><span class="pre">Set</span></code></a> mixin provides a <code class="xref py py-meth docutils literal notranslate"><span class="pre">_hash()</span></code> method to compute a hash value for the set; however, <a class="reference internal" href="../reference/datamodel.html#object.__hash__" title="object.__hash__"><code class="xref py py-meth docutils literal notranslate"><span class="pre">__hash__()</span></code></a> is not defined because not all sets are hashable or immutable. To add set hashability using mixins, inherit from both <a class="reference internal" href="#collections.abc.Set" title="collections.abc.Set"><code class="xref py py-meth docutils literal notranslate"><span class="pre">Set()</span></code></a> and <a class="reference internal" href="#collections.abc.Hashable" title="collections.abc.Hashable"><code class="xref py py-meth docutils literal notranslate"><span class="pre">Hashable()</span></code></a>, then define <code class="docutils literal notranslate"><span class="pre">__hash__</span> <span class="pre">=</span> <span class="pre">Set._hash</span></code>.</li> </ol> <div class="admonition seealso"> <p class="first admonition-title">See also</p> <ul class="last simple"> <li><a class="reference external" href="https://code.activestate.com/recipes/576694/">OrderedSet recipe</a> for an example built on <a class="reference internal" href="#collections.abc.MutableSet" title="collections.abc.MutableSet"><code class="xref py py-class docutils literal notranslate"><span class="pre">MutableSet</span></code></a>.</li> <li>For more about ABCs, see the <a class="reference internal" href="abc.html#module-abc" title="abc: Abstract base classes according to PEP 3119."><code class="xref py py-mod docutils literal notranslate"><span class="pre">abc</span></code></a> module and <span class="target" id="index-3"></span><a class="pep reference external" href="https://www.python.org/dev/peps/pep-3119"><strong>PEP 3119</strong></a>.</li> </ul> </div> </div> </div> </div> </div> </div> <div class="sphinxsidebar" role="navigation" aria-label="main navigation"> <div class="sphinxsidebarwrapper"> <h3><a href="../contents.html">Table Of Contents</a></h3> <ul> <li><a class="reference internal" href="#">8.4. <code class="docutils literal notranslate"><span class="pre">collections.abc</span></code> — Abstract Base Classes for Containers</a><ul> <li><a class="reference internal" href="#collections-abstract-base-classes">8.4.1. Collections Abstract Base Classes</a></li> </ul> </li> </ul> <h4>Previous topic</h4> <p class="topless"><a href="collections.html" title="previous chapter">8.3. <code class="docutils literal notranslate"><span class="pre">collections</span></code> — Container datatypes</a></p> <h4>Next topic</h4> <p class="topless"><a href="heapq.html" title="next chapter">8.5. <code class="docutils literal notranslate"><span class="pre">heapq</span></code> — Heap queue algorithm</a></p> <div role="note" aria-label="source link"> <h3>This Page</h3> <ul class="this-page-menu"> <li><a href="../bugs.html">Report a Bug</a></li> <li> <a href="https://github.com/python/cpython/blob/3.6/Doc/library/collections.abc.rst" rel="nofollow">Show Source </a> </li> </ul> </div> </div> </div> <div class="clearer"></div> </div> <div class="related" role="navigation" aria-label="related navigation"> <h3>Navigation</h3> <ul> <li class="right" style="margin-right: 10px"> <a href="../genindex.html" title="General Index" >index</a></li> <li class="right" > <a href="../py-modindex.html" title="Python Module Index" >modules</a> |</li> <li class="right" > <a href="heapq.html" title="8.5. heapq — Heap queue algorithm" >next</a> |</li> <li class="right" > <a href="collections.html" title="8.3. collections — Container datatypes" >previous</a> |</li> <li><img src="../_static/py.png" alt="" style="vertical-align: middle; margin-top: -1px"/></li> <li><a href="https://www.python.org/">Python</a> &#187;</li> <li> <a href="../index.html">3.6.7 Documentation</a> &#187; </li> <li class="nav-item nav-item-1"><a href="index.html" >The Python Standard Library</a> &#187;</li> <li class="nav-item nav-item-2"><a href="datatypes.html" >8. 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