bpo-32118: Simplify docs for sequence comparison (GH-15450)
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@ -1425,6 +1425,10 @@ built-in types.
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themselves. For example, if ``x = float('NaN')``, ``3 < x``, ``x < 3``, ``x
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== x``, ``x != x`` are all false. This behavior is compliant with IEEE 754.
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* ``None`` and ``NotImplemented`` are singletons. :PEP:`8` advises that
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comparisons for singletons should always be done with ``is`` or ``is not``,
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never the equality operators.
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* Binary sequences (instances of :class:`bytes` or :class:`bytearray`) can be
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compared within and across their types. They compare lexicographically using
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the numeric values of their elements.
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@ -1442,25 +1446,9 @@ built-in types.
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:exc:`TypeError`.
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Sequences compare lexicographically using comparison of corresponding
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elements, whereby reflexivity of the elements is enforced.
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In enforcing reflexivity of elements, the comparison of collections assumes
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that for a collection element ``x``, ``x == x`` is always true. Based on
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that assumption, element identity is compared first, and element comparison
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is performed only for distinct elements. This approach yields the same
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result as a strict element comparison would, if the compared elements are
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reflexive. For non-reflexive elements, the result is different than for
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strict element comparison, and may be surprising: The non-reflexive
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not-a-number values for example result in the following comparison behavior
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when used in a list::
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>>> nan = float('NaN')
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>>> nan is nan
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True
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>>> nan == nan
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False <-- the defined non-reflexive behavior of NaN
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>>> [nan] == [nan]
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True <-- list enforces reflexivity and tests identity first
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elements. The built-in containers typically assume identical objects are
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equal to themselves. That lets them bypass equality tests for identical
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objects to improve performance and to maintain their internal invariants.
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Lexicographical comparison between built-in collections works as follows:
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