Encyclopedia > Conjunction elimination

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Conjunction elimination

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

  ( A ∧ B )
  ∴ B

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