Mathematical English Usage - a Glossary

by Jerzy Trzeciak

proceed

[see also: act, operate, continue, pursue, move, turn]

The proof proceeds along the same lines as the proof of Theorem 4.

The standard proofs proceed via the Cauchy formula.

We now proceed to matrix rings.

In Section 3 we proceed with the study of...... [= start or continue the study]

We will proceed without making explicit distinctions between the two types of convergence.

Proceeding further in this direction, we obtain the following corollary.

Proceeding as in the proof of......, let......

Before proceeding we record an inequality for the size of an admissible X.


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