There are eight comparison operations in Python. They all have the same priority (which is higher than that of the Boolean operations). Comparisons can be chained arbitrarily; for example, `x < y <= z` is equivalent to `x < y and y <= z`, except that `y` is evaluated only once (but in both cases `z` is not evaluated at all when `x < y` is found to be false).
You can also give two condition and check for only one condition using `or` like `x > y or x >= y` will check for either of the two conditions. If one of the condition is true the program will proceed. This is the functionality of `or`.
Objects of different types, except different numeric types, never compare equal. Furthermore, some types (for example, function objects) support only a degenerate notion of comparison where any two objects of that type are unequal. The `<`, `<=`, `>` and `>=` operators will raise a `TypeError` exception when comparing a complex number with another built-in numeric type, when the objects are of different types that cannot be compared, or in other cases where there is no defined ordering.
Non-identical instances of a class normally compare as non-equal unless the class defines the `__eq__()` method.
Instances of a class cannot be ordered with respect to other instances of the same class, or other types of object, unless the class defines enough of the methods `__lt__()`, `__le__()`, `__gt__()`, and `__ge__()` (in general, `__lt__()` and `__eq__()` are sufficient, if you want the conventional meanings of the comparison operators).
The behavior of the `is` and `is not` operators cannot be customized; also they can be applied to any two objects and never raise an exception.
We can also chain `<` and `>` operators together. For instance, `3 < 4 < 5` will return `True`, but `3 < 4 > 5` will not. We can also chain the equality operator. For instance, `3 == 3 < 5` will return `True` but `3 == 5 < 5` will not.
### Equality Comparisons - "is" vs "=="
In Python, there are two comparison operators which allow us to check to see if two objects are equal. The `is` operator and the `==` operator. However, there is a key difference between them!
>>> myListA == myListB # both lists contains similar elements
True
>>> myListB is myListA # myListB contains the same elements
True
```
This is because both myListA and myListB are pointing to the same list variable, which I defined at beginning of my Python program. Both lists are exactly the same, both in identity and in content.
However, what if I now create a new list?
```python
myListC = [1,2,3]
```
Performing the `==` operator still shows that both lists are the same, in terms of content.
```python
>>> myListA == myListC
True
```
However, performing the `is` operator will now produce a `False` output. This is because myListA and myListC are two different variables, despite containing the same data. Even though they look the same, they are <b>different</b>.
However, interestingly, there are a few special cases in Python with `is`.
```python
>>> a = 5
>>> b = 5
>>> a is b
True
>>> a = 1000
>>> b = 1000
>>> a is b
False
```
This is due to how Python is implemented. In Python, small integers (from -5 up to 256, a fast test shows) are cached. You shouldn't rely on this detail – larger integers do not evaluate to `true` when you use `is`. For more information on this topic, view <ahref='https://stackoverflow.com/questions/132988/is-there-a-difference-between-and-is-in-python'>this StackOverflow thread.</a>
