#### Mathematical English Usage - a Dictionary

##### by Jerzy Trzeciak

## replace

[*see also*: change, place, instead

We now construct f as in the proof of Theorem 5, with V replaced by W.

A similar result holds with “compact'' replacing “convex''.

The statement of Theorem 5 remains valid if we replace “f is compact'' by
“the norm of f is bounded''.

We must have Lf=0, for otherwise we can replace f by f-Lf.

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