[see also: place, replace, rather]
Instead of using the Fourier method we can multiply ...... [Not: “Instead using”]
Instead of dealing with lines one by one, we deal with collections of lines simultaneously.
The proof we give is based instead on Galois theory.
Strictly speaking, we should write something like $a(l,m,n)$ to reflect the dependence; we shall rely upon context instead.
Rather than working directly with $V(s)$, we shall instead consider the following two general integrals: ...... [Or: Rather than work]
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