# How to exclude a specific element from a list comprehension with conditionals

## Question:

I am trying to use a list comprehension to extract specific elements from a list, using conditionals on the list indices.

When the list indices differ, specific operations need to happen.

When the list indices are the same, no element should be added.

The latter is what I do not know how to do, except by adding `''`

and removing it afterwards.

Example (simpler than my actual case, but conceptually the same):

```
x = [0, 1, 2, 3, 4]
i = 2
x2 = [2 * x[j] - x[i] if j > i else 2 * x[i] - x[j] if j < i else '' for j in x]
x2.remove('')
x2
# [4, 3, 4, 6]
```

How would you exclude the case where `i == j`

a priori?

I would have thought that just not having `else ''`

at the end would work, but then I get an `invalid_syntax`

error.

I suppose in essence I am looking for a neutral element for the list comprehension.

## Answers:

You can put `if`

clauses after `for`

to filter some elements.

```
x2 = [2 * x[j] - x[i] if j > i else 2 * x[i] - x[j] for j in x if j != i]
```

You can apply two kind of conditionals to a list comprehension. The one you are applying is applied to every element that make it to that point of code to get a value, that is why you need the `else`

. You also want the filter behaviour (discard values that don’t meet a condition), so you have to apply another conditional after the `for`

, which decides which values to consider for the generated list:

```
x = [0, 1, 2, 3, 4]
i = 2
x2 = [2 * x[j] - x[i] if j > i else 2 * x[i] - x[j] for j in x if j != i]
```