Conjunction elimination
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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