Encyclopedia > Biconditional introduction

Article Content

Biconditional introduction

Biconditional introduction is the inference that, if B follows from A, and A follows from B, then A if and only if B.

For example: if I'm breathing, then I'm alive; also, if I'm alive, then I'm breathing. Therefore, I'm breathing if and only if I'm alive.

Formally:

  ( A → B )
  ( B → A )  
  ∴ ( A ↔ B )

All Wikipedia text is available under the terms of the GNU Free Documentation License

Search Encyclopedia

Search over one million articles, find something about almost anything!

Featured Article

Reformed churches

... Qua Iboe Church[?] - (Northern Irish Presbyterian) Church of Christ in the Sudan among the Tiv[?] - (Dutch Reformed) Evangelical Reformed Church of Christ[?] - ...