Conjunction elimination

In logic, conjunction elimination is the inference that, if the conjunction A and B is true, then A is true, and B is true.

For instance, if it's true that it's raining, and I'm inside, then one may assert either term of the conjunction alone: it's raining, or I'm inside.

Formally:

( A ∧ B ) ∴ A

or

( A ∧ B ) ∴ B