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Theorems and Proofs

Proofs must begin with an overview if they are long.

Bottom-up presentation

Proof of theorem 3 uses proof of theorem 2.

Proof of theorem 2 uses theorem 3.

Conventional order.

Top-down presentation:

Proof of Theorem 1 uses Theorem 2.

Proof of theorem 2 uses Theorem 3.

``Forward reference''. Provides motivation for reading theorem 2 etc. Acceptable.



Abhiram Ranade 2000-10-31