# Python: determining whether any item in sequence is equal to any other

I'd like to compare multiple objects and return True only if all objects are not equal among themselves. I tried using the code below, but it doesn't work. If obj1 and obj3 are equal and obj2 and obj3 are not equal, the result is True.

```obj1 != obj2 != obj3
```

I have more than 3 objects to compare. Using the code below is out of question:

```all([obj1 != obj2, obj1 != obj3, obj2 != obj3])
```

@Michael Hoffman's answer is good if the objects are all hashable. If not, you can use itertools.combinations:

```>>> all(a != b for a, b in itertools.combinations(['a', 'b', 'c', 'd', 'a'], 2))
False
>>> all(a != b for a, b in itertools.combinations(['a', 'b', 'c', 'd'], 2))
True
```

If the objects are all hashable, then you can see whether a frozenset of the sequence of objects has the same length as the sequence itself:

```def all_different(objs):
return len(frozenset(objs)) == len(objs)
```

Example:

```>>> all_different([3, 4, 5])
True
>>> all_different([3, 4, 5, 3])
False
```

If the objects are unhashable but orderable (for example, lists) then you can transform the itertools solution from O(n^2) to O(n log n) by sorting:

```def all_different(*objs):
s = sorted(objs)
return all(x != y for x, y in zip(s[:-1], s[1:]))
```

Here's a full implementation:

```def all_different(*objs):
try:
return len(frozenset(objs)) == len(objs)
except TypeError:
try:
s = sorted(objs)
return all(x != y for x, y in zip(s[:-1], s[1:]))
except TypeError:
return all(x != y for x, y in itertools.combinations(objs, 2))
```

```from itertools import combinations
all(x != y for x, y in combinations(objs, 2))
```

You can check that all of the items in a list are unique by converting it to a set.

```my_obs = [obj1, obj2, obj3]
all_not_equal = len(set(my_obs)) == len(my_obs)
```