Python中“ in”的关联性？

I’m making a Python parser, and this is really confusing me:

>>>  1 in  []  in 'a'
False

>>> (1 in  []) in 'a'
TypeError: 'in <string>' requires string as left operand, not bool

>>>  1 in ([] in 'a')
TypeError: 'in <string>' requires string as left operand, not list

How exactly does “in” work in Python, with regards to associativity, etc.?

Why do no two of these expressions behave the same way?

1 in [] in 'a' is evaluated as (1 in []) and ([] in 'a').

Since the first condition (1 in []) is False, the whole condition is evaluated as False; ([] in 'a') is never actually evaluated, so no error is raised.

Here are the statement definitions:

In [121]: def func():
   .....:     return 1 in [] in 'a'
   .....: 

In [122]: dis.dis(func)
  2           0 LOAD_CONST               1 (1)
              3 BUILD_LIST               0
              6 DUP_TOP             
              7 ROT_THREE           
              8 COMPARE_OP               6 (in)
             11 JUMP_IF_FALSE            8 (to 22)  #if first comparison is wrong 
                                                    #then jump to 22, 
             14 POP_TOP             
             15 LOAD_CONST               2 ('a')
             18 COMPARE_OP               6 (in)     #this is never executed, so no Error
             21 RETURN_VALUE         
        >>   22 ROT_TWO             
             23 POP_TOP             
             24 RETURN_VALUE        

In [150]: def func1():
   .....:     return (1 in  []) in 'a'
   .....: 

In [151]: dis.dis(func1)
  2           0 LOAD_CONST               1 (1)
              3 LOAD_CONST               3 (())
              6 COMPARE_OP               6 (in)   # perform 1 in []
              9 LOAD_CONST               2 ('a')  # now load 'a'
             12 COMPARE_OP               6 (in)   # compare result of (1 in []) with 'a'
                                                  # throws Error coz (False in 'a') is
                                                  # TypeError
             15 RETURN_VALUE   



In [153]: def func2():
   .....:     return 1 in ([] in 'a')
   .....: 

In [154]: dis.dis(func2)
  2           0 LOAD_CONST               1 (1)
              3 BUILD_LIST               0
              6 LOAD_CONST               2 ('a') 
              9 COMPARE_OP               6 (in)  # perform ([] in 'a'), which is 
                                                 # Incorrect, so it throws TypeError
             12 COMPARE_OP               6 (in)  # if no Error then 
                                                 # compare 1 with the result of ([] in 'a')
             15 RETURN_VALUE        

Python does special things with chained comparisons.

The following are evaluated differently:

x > y > z   # in this case, if x > y evaluates to true, then
            # the value of y is being used to compare, again,
            # to z

(x > y) > z # the parenth form, on the other hand, will first
            # evaluate x > y. And, compare the evaluated result
            # with z, which can be "True > z" or "False > z"

In both cases though, if the first comparison is False, the rest of the statement won’t be looked at.

For your particular case,

1 in [] in 'a'   # this is false because 1 is not in []

(1 in []) in a   # this gives an error because we are
                 # essentially doing this: False in 'a'

1 in ([] in 'a') # this fails because you cannot do
                 # [] in 'a'

Also to demonstrate the first rule above, these are statements that evaluate to True.

1 in [1,2] in [4,[1,2]] # But "1 in [4,[1,2]]" is False

2 < 4 > 1               # and note "2 < 1" is also not true

Precedence of python operators: http://docs.python.org/reference/expressions.html#summary

From the documentation:

Comparisons can be chained arbitrarily, e.g., 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).

What this means is, that there no associativity in x in y in z!

The following are equivalent:

1 in  []  in 'a'
# <=>
middle = []
#            False          not evaluated
result = (1 in middle) and (middle in 'a')


(1 in  []) in 'a'
# <=>
lhs = (1 in []) # False
result = lhs in 'a' # False in 'a' - TypeError


1 in  ([] in 'a')
# <=>
rhs = ([] in 'a') # TypeError
result = 1 in rhs

The short answer, since the long one is already given several times here and in excellent ways, is that the boolean expression is short-circuited, this is has stopped evaluation when a change of true in false or vice versa cannot happen by further evaluation.

(see http://en.wikipedia.org/wiki/Short-circuit_evaluation)

It might be a little short (no pun intended) as an answer, but as mentioned, all other explanation is allready done quite well here, but I thought the term deserved to be mentioned.