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 ) ∴ Aor
( A ∧ B ) ∴ B